## Begin on: Wed Nov 13 15:46:18 CET 2019

ENUMERATION
No. of records: 3197

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 71 (67 non-degenerate)
2     [ E3b] : 243 (172 non-degenerate)
2*    [E3*b] : 243 (172 non-degenerate)
2ex   [E3*c] : 5 (5 non-degenerate)
2*ex  [ E3c] : 5 (5 non-degenerate)
2P    [  E2] : 84 (69 non-degenerate)
2Pex  [ E1a] : 15 (15 non-degenerate)
3     [ E5a] : 1833 (1299 non-degenerate)
4     [  E4] : 274 (185 non-degenerate)
4*    [ E4*] : 274 (185 non-degenerate)
4P    [  E6] : 82 (49 non-degenerate)
5     [ E3a] : 31 (16 non-degenerate)
5*    [E3*a] : 31 (16 non-degenerate)
5P    [ E5b] : 6 (5 non-degenerate)

E21.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, B, A, B, A, B, A, A, B, A, B, A, B, A, B, B, A, S^2, S^-1 * B * S * A, S^-1 * A * S * B, S^-1 * Z * S * Z, Z^21, (Z^-1 * A * B^-1 * A^-1 * B)^21 ]
Map::
	R = (1, 23, 44, 65, 2, 25, 46, 67, 4, 27, 48, 69, 6, 29, 50, 71, 8, 31, 52, 73, 10, 33, 54, 75, 12, 35, 56, 77, 14, 37, 58, 79, 16, 39, 60, 81, 18, 41, 62, 83, 20, 42, 63, 84, 21, 40, 61, 82, 19, 38, 59, 80, 17, 36, 57, 78, 15, 34, 55, 76, 13, 32, 53, 74, 11, 30, 51, 72, 9, 28, 49, 70, 7, 26, 47, 68, 5, 24, 45, 66, 3, 22, 43, 64)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^3, B * A * B, (Z, B), (A^-1, Z), (S * Z)^2, S * B * S * A, A^-1 * Z^7 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 33, 54, 75, 12, 39, 60, 81, 18, 36, 57, 78, 15, 30, 51, 72, 9, 24, 45, 66, 3, 28, 49, 70, 7, 34, 55, 76, 13, 40, 61, 82, 19, 42, 63, 84, 21, 38, 59, 80, 17, 32, 53, 74, 11, 26, 47, 68, 5, 29, 50, 71, 8, 35, 56, 77, 14, 41, 62, 83, 20, 37, 58, 79, 16, 31, 52, 73, 10, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 47)(4, 51)(5, 43)(6, 55)(7, 50)(8, 44)(9, 53)(10, 57)(11, 46)(12, 61)(13, 56)(14, 48)(15, 59)(16, 60)(17, 52)(18, 63)(19, 62)(20, 54)(21, 58)(22, 68)(23, 71)(24, 64)(25, 74)(26, 66)(27, 77)(28, 65)(29, 70)(30, 67)(31, 80)(32, 72)(33, 83)(34, 69)(35, 76)(36, 73)(37, 84)(38, 78)(39, 79)(40, 75)(41, 82)(42, 81)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B * A * B, A^3, S * B * S * A, (Z, B), (S * Z)^2, Z^-3 * A^-1 * Z^3 * A, Z^-4 * A^-1 * Z^-3 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 33, 54, 75, 12, 39, 60, 81, 18, 38, 59, 80, 17, 32, 53, 74, 11, 26, 47, 68, 5, 29, 50, 71, 8, 35, 56, 77, 14, 41, 62, 83, 20, 42, 63, 84, 21, 36, 57, 78, 15, 30, 51, 72, 9, 24, 45, 66, 3, 28, 49, 70, 7, 34, 55, 76, 13, 40, 61, 82, 19, 37, 58, 79, 16, 31, 52, 73, 10, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 47)(4, 51)(5, 43)(6, 55)(7, 50)(8, 44)(9, 53)(10, 57)(11, 46)(12, 61)(13, 56)(14, 48)(15, 59)(16, 63)(17, 52)(18, 58)(19, 62)(20, 54)(21, 60)(22, 68)(23, 71)(24, 64)(25, 74)(26, 66)(27, 77)(28, 65)(29, 70)(30, 67)(31, 80)(32, 72)(33, 83)(34, 69)(35, 76)(36, 73)(37, 81)(38, 78)(39, 84)(40, 75)(41, 82)(42, 79)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z^-1, A), (S * Z)^2, S * B * S * A, Z^-2 * B^-1 * Z^-1 * A^-2, Z^-1 * A^-1 * B^-1 * Z^-2 * A^-1, Z^4 * A^-1 * Z^2, A^-1 * Z * A^-1 * Z * A^-2 * Z ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 35, 56, 77, 14, 42, 63, 84, 21, 31, 52, 73, 10, 24, 45, 66, 3, 28, 49, 70, 7, 36, 57, 78, 15, 34, 55, 76, 13, 39, 60, 81, 18, 41, 62, 83, 20, 30, 51, 72, 9, 38, 59, 80, 17, 33, 54, 75, 12, 26, 47, 68, 5, 29, 50, 71, 8, 37, 58, 79, 16, 40, 61, 82, 19, 32, 53, 74, 11, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 57)(7, 59)(8, 44)(9, 61)(10, 62)(11, 63)(12, 46)(13, 47)(14, 55)(15, 54)(16, 48)(17, 53)(18, 50)(19, 56)(20, 58)(21, 60)(22, 68)(23, 71)(24, 64)(25, 75)(26, 76)(27, 79)(28, 65)(29, 81)(30, 66)(31, 67)(32, 80)(33, 78)(34, 77)(35, 82)(36, 69)(37, 83)(38, 70)(39, 84)(40, 72)(41, 73)(42, 74)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, S * A * S * B, (S * Z)^2, (A^-1, Z), A^2 * Z^3, A^7, A^7, Z^-2 * A * B * A^2 * Z^-1 * A ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 34, 55, 76, 13, 36, 57, 78, 15, 41, 62, 83, 20, 37, 58, 79, 16, 39, 60, 81, 18, 31, 52, 73, 10, 24, 45, 66, 3, 28, 49, 70, 7, 33, 54, 75, 12, 26, 47, 68, 5, 29, 50, 71, 8, 35, 56, 77, 14, 40, 61, 82, 19, 42, 63, 84, 21, 38, 59, 80, 17, 30, 51, 72, 9, 32, 53, 74, 11, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 54)(7, 53)(8, 44)(9, 58)(10, 59)(11, 60)(12, 46)(13, 47)(14, 48)(15, 50)(16, 61)(17, 62)(18, 63)(19, 55)(20, 56)(21, 57)(22, 68)(23, 71)(24, 64)(25, 75)(26, 76)(27, 77)(28, 65)(29, 78)(30, 66)(31, 67)(32, 70)(33, 69)(34, 82)(35, 83)(36, 84)(37, 72)(38, 73)(39, 74)(40, 79)(41, 80)(42, 81)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, (A, Z), S * A * S * B, (S * Z)^2, Z^2 * B^-1 * A^-1 * Z, A^-1 * Z * B^-1 * Z^2, A^-6 * B^-1, A^-1 * Z^-1 * A^-1 * Z^-1 * A^-3 * Z^-1, (A^-1 * B^-1)^7 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 30, 51, 72, 9, 36, 57, 78, 15, 41, 62, 83, 20, 40, 61, 82, 19, 38, 59, 80, 17, 33, 54, 75, 12, 26, 47, 68, 5, 29, 50, 71, 8, 31, 52, 73, 10, 24, 45, 66, 3, 28, 49, 70, 7, 35, 56, 77, 14, 37, 58, 79, 16, 42, 63, 84, 21, 39, 60, 81, 18, 34, 55, 76, 13, 32, 53, 74, 11, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 56)(7, 57)(8, 44)(9, 58)(10, 48)(11, 50)(12, 46)(13, 47)(14, 62)(15, 63)(16, 61)(17, 53)(18, 54)(19, 55)(20, 60)(21, 59)(22, 68)(23, 71)(24, 64)(25, 75)(26, 76)(27, 73)(28, 65)(29, 74)(30, 66)(31, 67)(32, 80)(33, 81)(34, 82)(35, 69)(36, 70)(37, 72)(38, 84)(39, 83)(40, 79)(41, 77)(42, 78)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A, Z^-1), (S * Z)^2, S * B * S * A, Z^-1 * B * Z^-2, B^7, A^6 * B ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 24, 45, 66, 3, 28, 49, 70, 7, 33, 54, 75, 12, 30, 51, 72, 9, 34, 55, 76, 13, 39, 60, 81, 18, 36, 57, 78, 15, 40, 61, 82, 19, 42, 63, 84, 21, 38, 59, 80, 17, 41, 62, 83, 20, 37, 58, 79, 16, 32, 53, 74, 11, 35, 56, 77, 14, 31, 52, 73, 10, 26, 47, 68, 5, 29, 50, 71, 8, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 51)(4, 48)(5, 43)(6, 54)(7, 55)(8, 44)(9, 57)(10, 46)(11, 47)(12, 60)(13, 61)(14, 50)(15, 59)(16, 52)(17, 53)(18, 63)(19, 62)(20, 56)(21, 58)(22, 68)(23, 71)(24, 64)(25, 73)(26, 74)(27, 67)(28, 65)(29, 77)(30, 66)(31, 79)(32, 80)(33, 69)(34, 70)(35, 83)(36, 72)(37, 84)(38, 78)(39, 75)(40, 76)(41, 82)(42, 81)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-2 * A^-1 * Z^-1, S * B * S * A, (S * Z)^2, A^7, Z^-1 * A^-3 * Z * A^3 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 26, 47, 68, 5, 29, 50, 71, 8, 33, 54, 75, 12, 32, 53, 74, 11, 35, 56, 77, 14, 39, 60, 81, 18, 38, 59, 80, 17, 41, 62, 83, 20, 42, 63, 84, 21, 36, 57, 78, 15, 40, 61, 82, 19, 37, 58, 79, 16, 30, 51, 72, 9, 34, 55, 76, 13, 31, 52, 73, 10, 24, 45, 66, 3, 28, 49, 70, 7, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 46)(7, 55)(8, 44)(9, 57)(10, 58)(11, 47)(12, 48)(13, 61)(14, 50)(15, 59)(16, 63)(17, 53)(18, 54)(19, 62)(20, 56)(21, 60)(22, 68)(23, 71)(24, 64)(25, 69)(26, 74)(27, 75)(28, 65)(29, 77)(30, 66)(31, 67)(32, 80)(33, 81)(34, 70)(35, 83)(36, 72)(37, 73)(38, 78)(39, 84)(40, 76)(41, 82)(42, 79)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-1 * A^-1, B^-1 * Z^-1, (S * Z)^2, S * B * S * A, B^21, Z^21, Z^10 * A^-11 ]
Map::
	R = (1, 23, 44, 65, 2, 25, 46, 67, 4, 27, 48, 69, 6, 29, 50, 71, 8, 31, 52, 73, 10, 33, 54, 75, 12, 35, 56, 77, 14, 37, 58, 79, 16, 39, 60, 81, 18, 41, 62, 83, 20, 42, 63, 84, 21, 40, 61, 82, 19, 38, 59, 80, 17, 36, 57, 78, 15, 34, 55, 76, 13, 32, 53, 74, 11, 30, 51, 72, 9, 28, 49, 70, 7, 26, 47, 68, 5, 24, 45, 66, 3, 22, 43, 64)
	L = (1, 45)(2, 43)(3, 47)(4, 44)(5, 49)(6, 46)(7, 51)(8, 48)(9, 53)(10, 50)(11, 55)(12, 52)(13, 57)(14, 54)(15, 59)(16, 56)(17, 61)(18, 58)(19, 63)(20, 60)(21, 62)(22, 65)(23, 67)(24, 64)(25, 69)(26, 66)(27, 71)(28, 68)(29, 73)(30, 70)(31, 75)(32, 72)(33, 77)(34, 74)(35, 79)(36, 76)(37, 81)(38, 78)(39, 83)(40, 80)(41, 84)(42, 82)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {21, 21})
Quotient :: toric
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z^-1), Z * B * Z^-1 * A^-1, S * B * S * A, (S * Z)^2, Z^-1 * B * Z * A^-1, Z^2 * B * Z^2, B^-1 * Z * B^-2 * A^-1 * B^-1, B * Z^-1 * A^4 ]
Map::
	R = (1, 23, 44, 65, 2, 27, 48, 69, 6, 33, 54, 75, 12, 26, 47, 68, 5, 29, 50, 71, 8, 35, 56, 77, 14, 40, 61, 82, 19, 34, 55, 76, 13, 37, 58, 79, 16, 41, 62, 83, 20, 42, 63, 84, 21, 38, 59, 80, 17, 30, 51, 72, 9, 36, 57, 78, 15, 39, 60, 81, 18, 31, 52, 73, 10, 24, 45, 66, 3, 28, 49, 70, 7, 32, 53, 74, 11, 25, 46, 67, 4, 22, 43, 64)
	L = (1, 45)(2, 49)(3, 51)(4, 52)(5, 43)(6, 53)(7, 57)(8, 44)(9, 58)(10, 59)(11, 60)(12, 46)(13, 47)(14, 48)(15, 62)(16, 50)(17, 55)(18, 63)(19, 54)(20, 56)(21, 61)(22, 68)(23, 71)(24, 64)(25, 75)(26, 76)(27, 77)(28, 65)(29, 79)(30, 66)(31, 67)(32, 69)(33, 82)(34, 80)(35, 83)(36, 70)(37, 72)(38, 73)(39, 74)(40, 84)(41, 78)(42, 81)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, (S * Z)^2, S * B * S * A, Z^-1 * A * Z * B^-1, Z^-1 * B * Z * A, Z^11 ]
Map::
	R = (1, 24, 46, 68, 2, 27, 49, 71, 5, 31, 53, 75, 9, 35, 57, 79, 13, 39, 61, 83, 17, 42, 64, 86, 20, 38, 60, 82, 16, 34, 56, 78, 12, 30, 52, 74, 8, 26, 48, 70, 4, 23, 45, 67)(3, 28, 50, 72, 6, 32, 54, 76, 10, 36, 58, 80, 14, 40, 62, 84, 18, 43, 65, 87, 21, 44, 66, 88, 22, 41, 63, 85, 19, 37, 59, 81, 15, 33, 55, 77, 11, 29, 51, 73, 7, 25, 47, 69)
	L = (1, 47)(2, 50)(3, 45)(4, 51)(5, 54)(6, 46)(7, 48)(8, 55)(9, 58)(10, 49)(11, 52)(12, 59)(13, 62)(14, 53)(15, 56)(16, 63)(17, 65)(18, 57)(19, 60)(20, 66)(21, 61)(22, 64)(23, 69)(24, 72)(25, 67)(26, 73)(27, 76)(28, 68)(29, 70)(30, 77)(31, 80)(32, 71)(33, 74)(34, 81)(35, 84)(36, 75)(37, 78)(38, 85)(39, 87)(40, 79)(41, 82)(42, 88)(43, 83)(44, 86)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^2 * A^2, (Z, A^-1), Z^-1 * A^-2 * Z^-1, (S * Z)^2, (A^-1 * Z^-1)^2, S * A * S * B, A^10 * Z^-1 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 33, 55, 77, 11, 37, 59, 81, 15, 41, 63, 85, 19, 44, 66, 88, 22, 39, 61, 83, 17, 36, 58, 80, 14, 31, 53, 75, 9, 26, 48, 70, 4, 23, 45, 67)(3, 29, 51, 73, 7, 27, 49, 71, 5, 30, 52, 74, 8, 34, 56, 78, 12, 38, 60, 82, 16, 42, 64, 86, 20, 43, 65, 87, 21, 40, 62, 84, 18, 35, 57, 79, 13, 32, 54, 76, 10, 25, 47, 69)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 49)(7, 48)(8, 46)(9, 57)(10, 58)(11, 52)(12, 50)(13, 61)(14, 62)(15, 56)(16, 55)(17, 65)(18, 66)(19, 60)(20, 59)(21, 63)(22, 64)(23, 71)(24, 74)(25, 67)(26, 73)(27, 72)(28, 78)(29, 68)(30, 77)(31, 69)(32, 70)(33, 82)(34, 81)(35, 75)(36, 76)(37, 86)(38, 85)(39, 79)(40, 80)(41, 87)(42, 88)(43, 83)(44, 84)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * B * S * A, (A^-1, Z^-1), (S * Z)^2, A^4 * Z^-1, Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-3 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 36, 58, 80, 14, 43, 65, 87, 21, 35, 57, 79, 13, 31, 53, 75, 9, 39, 61, 83, 17, 41, 63, 85, 19, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)(3, 29, 51, 73, 7, 37, 59, 81, 15, 42, 64, 86, 20, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 38, 60, 82, 16, 44, 66, 88, 22, 40, 62, 84, 18, 32, 54, 76, 10, 25, 47, 69)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 52)(10, 57)(11, 62)(12, 48)(13, 49)(14, 64)(15, 63)(16, 50)(17, 60)(18, 65)(19, 66)(20, 55)(21, 56)(22, 58)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 82)(29, 68)(30, 75)(31, 69)(32, 70)(33, 86)(34, 87)(35, 76)(36, 88)(37, 72)(38, 83)(39, 73)(40, 77)(41, 81)(42, 80)(43, 84)(44, 85)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, A^-1 * Z^-1 * B^-1 * A^-1 * B^-1, A * Z * A^3, Z^-3 * B * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 36, 58, 80, 14, 40, 62, 84, 18, 31, 53, 75, 9, 35, 57, 79, 13, 39, 61, 83, 17, 42, 64, 86, 20, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)(3, 29, 51, 73, 7, 37, 59, 81, 15, 44, 66, 88, 22, 43, 65, 87, 21, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 38, 60, 82, 16, 41, 63, 85, 19, 32, 54, 76, 10, 25, 47, 69)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 57)(8, 46)(9, 56)(10, 62)(11, 63)(12, 48)(13, 49)(14, 66)(15, 61)(16, 50)(17, 52)(18, 65)(19, 58)(20, 60)(21, 55)(22, 64)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 82)(29, 68)(30, 83)(31, 69)(32, 70)(33, 87)(34, 75)(35, 73)(36, 85)(37, 72)(38, 86)(39, 81)(40, 76)(41, 77)(42, 88)(43, 84)(44, 80)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {11, 11})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^2 * Z, (S * Z)^2, S * A * S * B, Z^11, B^22 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 32, 54, 76, 10, 36, 58, 80, 14, 40, 62, 84, 18, 43, 65, 87, 21, 39, 61, 83, 17, 35, 57, 79, 13, 31, 53, 75, 9, 26, 48, 70, 4, 23, 45, 67)(3, 27, 49, 71, 5, 29, 51, 73, 7, 33, 55, 77, 11, 37, 59, 81, 15, 41, 63, 85, 19, 44, 66, 88, 22, 42, 64, 86, 20, 38, 60, 82, 16, 34, 56, 78, 12, 30, 52, 74, 8, 25, 47, 69)
	L = (1, 47)(2, 49)(3, 48)(4, 52)(5, 45)(6, 51)(7, 46)(8, 53)(9, 56)(10, 55)(11, 50)(12, 57)(13, 60)(14, 59)(15, 54)(16, 61)(17, 64)(18, 63)(19, 58)(20, 65)(21, 66)(22, 62)(23, 71)(24, 73)(25, 67)(26, 69)(27, 68)(28, 77)(29, 72)(30, 70)(31, 74)(32, 81)(33, 76)(34, 75)(35, 78)(36, 85)(37, 80)(38, 79)(39, 82)(40, 88)(41, 84)(42, 83)(43, 86)(44, 87)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C8 x S3 (small group id <48, 4>)
|r| :: 2
Presentation :: [ S^2, A * B, B^-1 * A^-1, (B^-1, Z^-1), (S * Z)^2, (Z^-1, A^-1), S * B * S * A, B * Z * B^-1 * A * Z^-1 * A^-1, Z^6, A * Z^-3 * B^-3, Z^2 * B * Z * A^-3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 37, 61, 85, 13, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 46, 70, 94, 22, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 40, 64, 88, 16, 43, 67, 91, 19, 48, 72, 96, 24, 36, 60, 84, 12, 28, 52, 76)(9, 41, 65, 89, 17, 47, 71, 95, 23, 35, 59, 83, 11, 42, 66, 90, 18, 44, 68, 92, 20, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 58)(6, 63)(7, 65)(8, 50)(9, 67)(10, 68)(11, 52)(12, 53)(13, 69)(14, 70)(15, 71)(16, 54)(17, 72)(18, 56)(19, 62)(20, 64)(21, 66)(22, 59)(23, 60)(24, 61)(25, 75)(26, 79)(27, 81)(28, 73)(29, 82)(30, 87)(31, 89)(32, 74)(33, 91)(34, 92)(35, 76)(36, 77)(37, 93)(38, 94)(39, 95)(40, 78)(41, 96)(42, 80)(43, 86)(44, 88)(45, 90)(46, 83)(47, 84)(48, 85)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C24 : C2 (small group id <48, 5>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B * A^-2, (B^-1, A^-1), (B^-1, Z^-1), S * B * S * A, B^-2 * A^-2, (S * Z)^2, B^3 * A^-1, (B^-1 * A^-1)^2, (Z^-1, A), A^-1 * Z^3 * B^-1, Z * B^-1 * Z^2 * A^-1, Z^-1 * B^2 * Z * A^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 38, 62, 86, 14, 42, 66, 90, 18, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 44, 68, 92, 20, 31, 55, 79, 7, 36, 60, 84, 12, 39, 63, 87, 15, 27, 51, 75)(4, 34, 58, 82, 10, 43, 67, 91, 19, 30, 54, 78, 6, 35, 59, 83, 11, 41, 65, 89, 17, 28, 52, 76)(13, 45, 69, 93, 21, 48, 72, 96, 24, 40, 64, 88, 16, 46, 70, 94, 22, 47, 71, 95, 23, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 68)(9, 69)(10, 66)(11, 50)(12, 70)(13, 52)(14, 55)(15, 71)(16, 54)(17, 56)(18, 60)(19, 53)(20, 72)(21, 58)(22, 59)(23, 65)(24, 67)(25, 79)(26, 84)(27, 88)(28, 73)(29, 92)(30, 86)(31, 85)(32, 87)(33, 94)(34, 74)(35, 90)(36, 93)(37, 78)(38, 75)(39, 96)(40, 76)(41, 77)(42, 81)(43, 80)(44, 95)(45, 83)(46, 82)(47, 91)(48, 89)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C24 : C2 (small group id <48, 6>)
|r| :: 2
Presentation :: [ S^2, (A * B^-1)^2, B^3 * A, (S * Z)^2, A^-2 * B^-1 * A^-1, B * A^-2 * B, (Z^-1, A^-1), (Z^-1, B), S * B * S * A, A^-1 * Z^2 * B * Z, Z * A * Z * B^-1 * Z, Z^-1 * B * A^-1 * Z * B^-1 * A, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 40, 64, 88, 16, 42, 66, 90, 18, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 28, 52, 76, 4, 34, 58, 82, 10, 39, 63, 87, 15, 27, 51, 75)(6, 35, 59, 83, 11, 44, 68, 92, 20, 31, 55, 79, 7, 36, 60, 84, 12, 43, 67, 91, 19, 30, 54, 78)(13, 45, 69, 93, 21, 48, 72, 96, 24, 38, 62, 86, 14, 46, 70, 94, 22, 47, 71, 95, 23, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 65)(9, 69)(10, 70)(11, 50)(12, 66)(13, 55)(14, 54)(15, 71)(16, 52)(17, 72)(18, 58)(19, 53)(20, 56)(21, 60)(22, 59)(23, 68)(24, 67)(25, 79)(26, 84)(27, 88)(28, 73)(29, 92)(30, 85)(31, 86)(32, 91)(33, 90)(34, 74)(35, 93)(36, 94)(37, 76)(38, 75)(39, 80)(40, 78)(41, 77)(42, 83)(43, 95)(44, 96)(45, 82)(46, 81)(47, 89)(48, 87)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, (A^-1, Z^-1), S * B * S * A, (S * Z)^2, Z^-1 * A * Z * B^-1, Z * A^-1 * Z^-1 * B, Z^6, Z * B * A * Z * B * A * Z, Z * B^-1 * Z * B^-3 * Z ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 48, 72, 96, 24, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75)(5, 32, 56, 80, 8, 40, 64, 88, 16, 43, 67, 91, 19, 46, 70, 94, 22, 36, 60, 84, 12, 29, 53, 77)(9, 41, 65, 89, 17, 47, 71, 95, 23, 37, 61, 85, 13, 42, 66, 90, 18, 44, 68, 92, 20, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 67)(10, 68)(11, 69)(12, 52)(13, 53)(14, 72)(15, 71)(16, 54)(17, 70)(18, 56)(19, 62)(20, 64)(21, 66)(22, 59)(23, 60)(24, 61)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 88)(31, 74)(32, 90)(33, 75)(34, 76)(35, 94)(36, 95)(37, 96)(38, 91)(39, 78)(40, 92)(41, 79)(42, 93)(43, 81)(44, 82)(45, 83)(46, 89)(47, 87)(48, 86)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, A * B * A, (S * Z)^2, S * B * S * A, Z^-1 * B * Z^2 * B, Z^-1 * A * Z^2 * B, Z^2 * A * Z^-1 * B, (Z^-1 * A^-1)^3, Z^6 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 40, 64, 88, 16, 36, 60, 84, 12, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 32, 56, 80, 8, 43, 67, 91, 19, 46, 70, 94, 22, 34, 58, 82, 10, 27, 51, 75)(5, 38, 62, 86, 14, 45, 69, 93, 21, 48, 72, 96, 24, 35, 59, 83, 11, 39, 63, 87, 15, 29, 53, 77)(7, 42, 66, 90, 18, 41, 65, 89, 17, 47, 71, 95, 23, 44, 68, 92, 20, 37, 61, 85, 13, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 53)(4, 59)(5, 49)(6, 62)(7, 56)(8, 50)(9, 68)(10, 60)(11, 61)(12, 71)(13, 52)(14, 65)(15, 70)(16, 67)(17, 54)(18, 63)(19, 72)(20, 69)(21, 57)(22, 66)(23, 58)(24, 64)(25, 77)(26, 80)(27, 73)(28, 85)(29, 75)(30, 89)(31, 74)(32, 79)(33, 93)(34, 95)(35, 76)(36, 82)(37, 83)(38, 78)(39, 90)(40, 96)(41, 86)(42, 94)(43, 88)(44, 81)(45, 92)(46, 87)(47, 84)(48, 91)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (S * Z)^2, A^-1 * B^-1 * A^-2, S * A * S * B, Z^2 * A^-2 * Z, (Z^-1 * A^-1)^3, A * Z^-1 * B^-1 * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 34, 58, 82, 10, 37, 61, 85, 13, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 40, 64, 88, 16, 29, 53, 77, 5, 39, 63, 87, 15, 35, 59, 83, 11, 27, 51, 75)(7, 41, 65, 89, 17, 44, 68, 92, 20, 32, 56, 80, 8, 43, 67, 91, 19, 42, 66, 90, 18, 31, 55, 79)(12, 47, 71, 95, 23, 45, 69, 93, 21, 38, 62, 86, 14, 48, 72, 96, 24, 46, 70, 94, 22, 36, 60, 84)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 62)(7, 61)(8, 50)(9, 69)(10, 53)(11, 65)(12, 54)(13, 56)(14, 52)(15, 70)(16, 67)(17, 64)(18, 72)(19, 59)(20, 71)(21, 63)(22, 57)(23, 66)(24, 68)(25, 77)(26, 80)(27, 73)(28, 86)(29, 82)(30, 84)(31, 74)(32, 85)(33, 94)(34, 75)(35, 91)(36, 76)(37, 79)(38, 78)(39, 93)(40, 89)(41, 83)(42, 95)(43, 88)(44, 96)(45, 81)(46, 87)(47, 92)(48, 90)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x C4 x S3 (small group id <48, 35>)
|r| :: 2
Presentation :: [ S^2, B * A, S * B * S * A, (Z, A^-1), (S * Z)^2, B * A^-3, (B^-1, Z^-1), Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 36, 60, 84, 12, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 38, 62, 86, 14, 44, 68, 92, 20, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 39, 63, 87, 15, 45, 69, 93, 21, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76)(9, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 58)(6, 62)(7, 64)(8, 50)(9, 52)(10, 65)(11, 53)(12, 66)(13, 68)(14, 70)(15, 54)(16, 56)(17, 59)(18, 71)(19, 60)(20, 72)(21, 61)(22, 63)(23, 67)(24, 69)(25, 75)(26, 79)(27, 81)(28, 73)(29, 82)(30, 86)(31, 88)(32, 74)(33, 76)(34, 89)(35, 77)(36, 90)(37, 92)(38, 94)(39, 78)(40, 80)(41, 83)(42, 95)(43, 84)(44, 96)(45, 85)(46, 87)(47, 91)(48, 93)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, S^2, B * A, (S * Z)^2, S * B * S * A, A * Z^2 * A * Z^-2, Z^6, (A * Z^-1 * A * Z)^2 ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 35, 59, 83, 11, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 36, 60, 84, 12, 44, 68, 92, 20, 41, 65, 89, 17, 32, 56, 80, 8, 27, 51, 75)(6, 37, 61, 85, 13, 43, 67, 91, 19, 42, 66, 90, 18, 33, 57, 81, 9, 38, 62, 86, 14, 30, 54, 78)(15, 45, 69, 93, 21, 48, 72, 96, 24, 47, 71, 95, 23, 40, 64, 88, 16, 46, 70, 94, 22, 39, 63, 87)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 60)(6, 50)(7, 63)(8, 64)(9, 52)(10, 65)(11, 67)(12, 53)(13, 69)(14, 70)(15, 55)(16, 56)(17, 58)(18, 71)(19, 59)(20, 72)(21, 61)(22, 62)(23, 66)(24, 68)(25, 75)(26, 78)(27, 73)(28, 81)(29, 84)(30, 74)(31, 87)(32, 88)(33, 76)(34, 89)(35, 91)(36, 77)(37, 93)(38, 94)(39, 79)(40, 80)(41, 82)(42, 95)(43, 83)(44, 96)(45, 85)(46, 86)(47, 90)(48, 92)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, S * B * S * A, (S * Z)^2, Z^6, (Z^-1 * A * Z^-1)^2, (A * Z^-1)^4 ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 35, 59, 83, 11, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 44, 68, 92, 20, 36, 60, 84, 12, 32, 56, 80, 8, 27, 51, 75)(6, 37, 61, 85, 13, 33, 57, 81, 9, 42, 66, 90, 18, 43, 67, 91, 19, 38, 62, 86, 14, 30, 54, 78)(16, 45, 69, 93, 21, 41, 65, 89, 17, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 40, 64, 88)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 60)(6, 50)(7, 64)(8, 65)(9, 52)(10, 63)(11, 67)(12, 53)(13, 69)(14, 70)(15, 58)(16, 55)(17, 56)(18, 71)(19, 59)(20, 72)(21, 61)(22, 62)(23, 66)(24, 68)(25, 75)(26, 78)(27, 73)(28, 81)(29, 84)(30, 74)(31, 88)(32, 89)(33, 76)(34, 87)(35, 91)(36, 77)(37, 93)(38, 94)(39, 82)(40, 79)(41, 80)(42, 95)(43, 83)(44, 96)(45, 85)(46, 86)(47, 90)(48, 92)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, A * B * Z^2, (S * Z)^2, S * A * S * B, A * Z^4 * B, (B * A)^3, A * Z^-1 * B * Z^-1 * B * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 34, 58, 82, 10, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 39, 63, 87, 15, 36, 60, 84, 12, 28, 52, 76, 4, 35, 59, 83, 11, 27, 51, 75)(7, 40, 64, 88, 16, 37, 61, 85, 13, 42, 66, 90, 18, 32, 56, 80, 8, 41, 65, 89, 17, 31, 55, 79)(19, 46, 70, 94, 22, 45, 69, 93, 21, 48, 72, 96, 24, 44, 68, 92, 20, 47, 71, 95, 23, 43, 67, 91)
	L = (1, 51)(2, 55)(3, 49)(4, 54)(5, 61)(6, 52)(7, 50)(8, 62)(9, 67)(10, 63)(11, 69)(12, 68)(13, 53)(14, 56)(15, 58)(16, 70)(17, 72)(18, 71)(19, 57)(20, 60)(21, 59)(22, 64)(23, 66)(24, 65)(25, 76)(26, 80)(27, 82)(28, 73)(29, 79)(30, 87)(31, 77)(32, 74)(33, 92)(34, 75)(35, 91)(36, 93)(37, 86)(38, 85)(39, 78)(40, 95)(41, 94)(42, 96)(43, 83)(44, 81)(45, 84)(46, 89)(47, 88)(48, 90)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z^-1, B * A^-3, B * Z * A^-1 * Z^-1, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 36, 60, 84, 12, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 38, 62, 86, 14, 45, 69, 93, 21, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75)(4, 31, 55, 79, 7, 39, 63, 87, 15, 44, 68, 92, 20, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76)(9, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 59)(6, 62)(7, 64)(8, 50)(9, 52)(10, 53)(11, 65)(12, 66)(13, 68)(14, 70)(15, 54)(16, 56)(17, 58)(18, 71)(19, 60)(20, 72)(21, 61)(22, 63)(23, 67)(24, 69)(25, 75)(26, 79)(27, 81)(28, 73)(29, 83)(30, 86)(31, 88)(32, 74)(33, 76)(34, 77)(35, 89)(36, 90)(37, 92)(38, 94)(39, 78)(40, 80)(41, 82)(42, 95)(43, 84)(44, 96)(45, 85)(46, 87)(47, 91)(48, 93)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, (S * Z)^2, A^-1 * B^2 * A^-1, S * A * S * B, A * Z^-1 * B^-1 * Z^-1, B * Z^-1 * A^-1 * Z^-1, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 36, 60, 84, 12, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 45, 69, 93, 21, 38, 62, 86, 14, 32, 56, 80, 8, 27, 51, 75)(4, 35, 59, 83, 11, 43, 67, 91, 19, 44, 68, 92, 20, 39, 63, 87, 15, 31, 55, 79, 7, 28, 52, 76)(10, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 42, 66, 90, 18, 34, 58, 82)
	L = (1, 51)(2, 55)(3, 58)(4, 49)(5, 59)(6, 62)(7, 64)(8, 50)(9, 53)(10, 52)(11, 66)(12, 65)(13, 68)(14, 70)(15, 54)(16, 56)(17, 71)(18, 57)(19, 60)(20, 72)(21, 61)(22, 63)(23, 67)(24, 69)(25, 75)(26, 79)(27, 82)(28, 73)(29, 83)(30, 86)(31, 88)(32, 74)(33, 77)(34, 76)(35, 90)(36, 89)(37, 92)(38, 94)(39, 78)(40, 80)(41, 95)(42, 81)(43, 84)(44, 96)(45, 85)(46, 87)(47, 91)(48, 93)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, (Z^-1 * A)^2, B^-1 * A^-1 * Z^-2, (Z^-1 * B)^2, B^4, (A^-1 * Z^-1)^2, S * B * S * A, B^2 * A^-2, Z^-2 * B * A, B^-1 * Z * A * Z^-1, A * B^2 * A, (S * Z)^2, A^-1 * B^-1 * A^-1 * B^-1 * Z^-2, B^-1 * A^-1 * Z^4, B^-2 * Z * A^-2 * Z^-1, A^-1 * B * Z^-1 * A * B^-1 * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 43, 67, 91, 19, 39, 63, 87, 15, 29, 53, 77, 5, 25, 49, 73)(3, 37, 61, 85, 13, 45, 69, 93, 21, 34, 58, 82, 10, 31, 55, 79, 7, 35, 59, 83, 11, 27, 51, 75)(4, 33, 57, 81, 9, 30, 54, 78, 6, 42, 66, 90, 18, 44, 68, 92, 20, 36, 60, 84, 12, 28, 52, 76)(14, 46, 70, 94, 22, 41, 65, 89, 17, 48, 72, 96, 24, 40, 64, 88, 16, 47, 71, 95, 23, 38, 62, 86)
	L = (1, 51)(2, 57)(3, 62)(4, 56)(5, 66)(6, 49)(7, 65)(8, 55)(9, 70)(10, 67)(11, 50)(12, 72)(13, 53)(14, 54)(15, 69)(16, 68)(17, 52)(18, 71)(19, 60)(20, 63)(21, 64)(22, 59)(23, 61)(24, 58)(25, 79)(26, 84)(27, 88)(28, 73)(29, 81)(30, 87)(31, 86)(32, 93)(33, 95)(34, 74)(35, 77)(36, 94)(37, 91)(38, 76)(39, 75)(40, 78)(41, 92)(42, 96)(43, 90)(44, 80)(45, 89)(46, 82)(47, 83)(48, 85)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^-2 * Z^2, S * A * S * B, (S * Z)^2, A^-2 * Z^-4, (A * Z^-1)^4, (Z^-1, A^-1, Z^-1) ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 39, 63, 87, 15, 37, 61, 85, 13, 29, 53, 77, 5, 34, 58, 82, 10, 27, 51, 75)(7, 40, 64, 88, 16, 36, 60, 84, 12, 42, 66, 90, 18, 32, 56, 80, 8, 41, 65, 89, 17, 31, 55, 79)(19, 46, 70, 94, 22, 45, 69, 93, 21, 48, 72, 96, 24, 44, 68, 92, 20, 47, 71, 95, 23, 43, 67, 91)
	L = (1, 51)(2, 55)(3, 54)(4, 56)(5, 49)(6, 63)(7, 62)(8, 50)(9, 67)(10, 68)(11, 53)(12, 52)(13, 69)(14, 60)(15, 59)(16, 70)(17, 71)(18, 72)(19, 61)(20, 57)(21, 58)(22, 66)(23, 64)(24, 65)(25, 77)(26, 80)(27, 73)(28, 84)(29, 83)(30, 75)(31, 74)(32, 76)(33, 92)(34, 93)(35, 87)(36, 86)(37, 91)(38, 79)(39, 78)(40, 95)(41, 96)(42, 94)(43, 81)(44, 82)(45, 85)(46, 88)(47, 89)(48, 90)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^-2 * A^-2, (S * Z)^2, S * B * S * A, (A^-1 * Z^2)^2, A^6, A^-1 * Z^4 * A^-1, A^-1 * Z^-1 * A^-1 * Z * A * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 29, 53, 77, 5, 37, 61, 85, 13, 39, 63, 87, 15, 35, 59, 83, 11, 27, 51, 75)(7, 40, 64, 88, 16, 32, 56, 80, 8, 42, 66, 90, 18, 36, 60, 84, 12, 41, 65, 89, 17, 31, 55, 79)(19, 46, 70, 94, 22, 44, 68, 92, 20, 47, 71, 95, 23, 45, 69, 93, 21, 48, 72, 96, 24, 43, 67, 91)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 53)(7, 52)(8, 50)(9, 67)(10, 63)(11, 69)(12, 62)(13, 68)(14, 56)(15, 54)(16, 70)(17, 72)(18, 71)(19, 59)(20, 57)(21, 61)(22, 65)(23, 64)(24, 66)(25, 77)(26, 80)(27, 73)(28, 79)(29, 78)(30, 87)(31, 74)(32, 86)(33, 92)(34, 75)(35, 91)(36, 76)(37, 93)(38, 84)(39, 82)(40, 95)(41, 94)(42, 96)(43, 81)(44, 85)(45, 83)(46, 88)(47, 90)(48, 89)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, B * A^-2 * B, (B * Z^-1)^2, A^-1 * B^2 * A^-1, Z^-1 * A * B * Z^-1, (B, A), A^-1 * B^-1 * Z^2, S * A * S * B, A * Z * B^-1 * Z^-1, B^-1 * Z * A * Z^-1, (S * Z)^2, B^-1 * Z^-1 * A^-3 * Z^-1, B^-1 * A^-2 * Z^-1 * A^-1 * Z^-1, A^-1 * B^-1 * Z^-4 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 43, 67, 91, 19, 39, 63, 87, 15, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 44, 68, 92, 20, 40, 64, 88, 16, 31, 55, 79, 7, 35, 59, 83, 11, 27, 51, 75)(4, 33, 57, 81, 9, 45, 69, 93, 21, 41, 65, 89, 17, 30, 54, 78, 6, 36, 60, 84, 12, 28, 52, 76)(13, 46, 70, 94, 22, 42, 66, 90, 18, 48, 72, 96, 24, 38, 62, 86, 14, 47, 71, 95, 23, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 56)(5, 60)(6, 49)(7, 62)(8, 68)(9, 70)(10, 67)(11, 50)(12, 71)(13, 69)(14, 52)(15, 55)(16, 53)(17, 72)(18, 54)(19, 65)(20, 66)(21, 63)(22, 64)(23, 58)(24, 59)(25, 79)(26, 84)(27, 86)(28, 73)(29, 89)(30, 87)(31, 90)(32, 75)(33, 95)(34, 74)(35, 77)(36, 96)(37, 76)(38, 78)(39, 92)(40, 91)(41, 94)(42, 93)(43, 81)(44, 85)(45, 80)(46, 82)(47, 83)(48, 88)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, (B^-1 * A)^2, (Z^-1 * B^-1)^2, Z^-2 * B^-1 * A^-1, B^-1 * Z^-2 * A^-1, (B^-1, A^-1), (A * Z)^2, Z^-1 * B * Z * A^-1, (S * Z)^2, S * A * S * B, B^2 * A^-2, (B * A)^3, Z^-1 * B * A * Z^-3, (B^2 * Z^-1)^2, B^2 * Z^-2 * B^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 43, 67, 91, 19, 38, 62, 86, 14, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 31, 55, 79, 7, 35, 59, 83, 11, 45, 69, 93, 21, 39, 63, 87, 15, 27, 51, 75)(4, 33, 57, 81, 9, 30, 54, 78, 6, 36, 60, 84, 12, 44, 68, 92, 20, 41, 65, 89, 17, 28, 52, 76)(13, 46, 70, 94, 22, 40, 64, 88, 16, 47, 71, 95, 23, 42, 66, 90, 18, 48, 72, 96, 24, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 65)(6, 49)(7, 64)(8, 55)(9, 70)(10, 53)(11, 50)(12, 71)(13, 68)(14, 69)(15, 67)(16, 52)(17, 72)(18, 54)(19, 60)(20, 56)(21, 66)(22, 63)(23, 58)(24, 59)(25, 79)(26, 84)(27, 88)(28, 73)(29, 81)(30, 80)(31, 90)(32, 93)(33, 95)(34, 74)(35, 91)(36, 96)(37, 76)(38, 75)(39, 77)(40, 78)(41, 94)(42, 92)(43, 89)(44, 86)(45, 85)(46, 82)(47, 83)(48, 87)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ S^2, A^2 * B^-2, B^4, (Z^-1, A), (B * A)^2, A^-2 * B^-2, S * B * S * A, (B^-1, Z^-1), A^4, (S * Z)^2, (B * A^-1)^2, B^2 * Z^3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 37, 61, 85, 13, 42, 66, 90, 18, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 43, 67, 91, 19, 30, 54, 78, 6, 35, 59, 83, 11, 39, 63, 87, 15, 27, 51, 75)(4, 34, 58, 82, 10, 44, 68, 92, 20, 31, 55, 79, 7, 36, 60, 84, 12, 41, 65, 89, 17, 28, 52, 76)(14, 45, 69, 93, 21, 48, 72, 96, 24, 40, 64, 88, 16, 46, 70, 94, 22, 47, 71, 95, 23, 38, 62, 86)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 67)(9, 66)(10, 69)(11, 50)(12, 70)(13, 54)(14, 55)(15, 56)(16, 52)(17, 71)(18, 59)(19, 53)(20, 72)(21, 60)(22, 58)(23, 68)(24, 65)(25, 79)(26, 84)(27, 88)(28, 73)(29, 92)(30, 86)(31, 85)(32, 89)(33, 94)(34, 74)(35, 93)(36, 90)(37, 76)(38, 75)(39, 96)(40, 78)(41, 77)(42, 82)(43, 95)(44, 80)(45, 81)(46, 83)(47, 87)(48, 91)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ S^2, B^2 * A^2, A^4, (B, A^-1), B^4, (B^-1, Z^-1), (S * Z)^2, (Z^-1, A), S * B * S * A, Z * B^-1 * Z^2 * A^-1, A^-1 * Z^3 * B^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 38, 62, 86, 14, 42, 66, 90, 18, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 44, 68, 92, 20, 31, 55, 79, 7, 36, 60, 84, 12, 39, 63, 87, 15, 27, 51, 75)(4, 34, 58, 82, 10, 43, 67, 91, 19, 30, 54, 78, 6, 35, 59, 83, 11, 41, 65, 89, 17, 28, 52, 76)(13, 45, 69, 93, 21, 48, 72, 96, 24, 40, 64, 88, 16, 46, 70, 94, 22, 47, 71, 95, 23, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 68)(9, 69)(10, 66)(11, 50)(12, 70)(13, 54)(14, 55)(15, 71)(16, 52)(17, 56)(18, 60)(19, 53)(20, 72)(21, 59)(22, 58)(23, 67)(24, 65)(25, 79)(26, 84)(27, 88)(28, 73)(29, 92)(30, 86)(31, 85)(32, 87)(33, 94)(34, 74)(35, 90)(36, 93)(37, 76)(38, 75)(39, 96)(40, 78)(41, 77)(42, 81)(43, 80)(44, 95)(45, 82)(46, 83)(47, 89)(48, 91)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ S^2, A^2 * B^-2, (A^-1, B), S * B * S * A, (A^-1, Z^-1), (S * Z)^2, A^4, (Z^-1, B^-1), Z^2 * A * B^-1 * Z, A^-1 * Z^2 * B * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 40, 64, 88, 16, 42, 66, 90, 18, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 28, 52, 76, 4, 34, 58, 82, 10, 39, 63, 87, 15, 27, 51, 75)(6, 35, 59, 83, 11, 44, 68, 92, 20, 31, 55, 79, 7, 36, 60, 84, 12, 43, 67, 91, 19, 30, 54, 78)(13, 45, 69, 93, 21, 48, 72, 96, 24, 38, 62, 86, 14, 46, 70, 94, 22, 47, 71, 95, 23, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 65)(9, 69)(10, 70)(11, 50)(12, 66)(13, 54)(14, 55)(15, 71)(16, 52)(17, 72)(18, 58)(19, 53)(20, 56)(21, 59)(22, 60)(23, 67)(24, 68)(25, 79)(26, 84)(27, 88)(28, 73)(29, 92)(30, 86)(31, 85)(32, 91)(33, 90)(34, 74)(35, 94)(36, 93)(37, 76)(38, 75)(39, 80)(40, 78)(41, 77)(42, 83)(43, 96)(44, 95)(45, 82)(46, 81)(47, 89)(48, 87)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C6 x C2 x C2 (small group id <24, 15>)
Aut   = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, S * A * S * B, Z^-1 * A * Z * A, (S * Z)^2, B * Z * B * Z^-1, (B * A)^2, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 36, 60, 84, 12, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 38, 62, 86, 14, 44, 68, 92, 20, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 39, 63, 87, 15, 45, 69, 93, 21, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76)(9, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 49)(4, 57)(5, 58)(6, 62)(7, 50)(8, 64)(9, 52)(10, 53)(11, 65)(12, 66)(13, 68)(14, 54)(15, 70)(16, 56)(17, 59)(18, 60)(19, 71)(20, 61)(21, 72)(22, 63)(23, 67)(24, 69)(25, 76)(26, 80)(27, 81)(28, 73)(29, 83)(30, 87)(31, 88)(32, 74)(33, 75)(34, 89)(35, 77)(36, 91)(37, 93)(38, 94)(39, 78)(40, 79)(41, 82)(42, 95)(43, 84)(44, 96)(45, 85)(46, 86)(47, 90)(48, 92)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, S * A * S * B, (S * Z)^2, A^2 * B * A, Z^-1 * A * Z * B^-1, Z^-1 * B * Z * A^-1, Z^6 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 37, 61, 85, 13, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 38, 62, 86, 14, 44, 68, 92, 20, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75)(5, 32, 56, 80, 8, 39, 63, 87, 15, 45, 69, 93, 21, 43, 67, 91, 19, 36, 60, 84, 12, 29, 53, 77)(9, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 62)(7, 64)(8, 50)(9, 53)(10, 65)(11, 66)(12, 52)(13, 68)(14, 70)(15, 54)(16, 56)(17, 60)(18, 71)(19, 59)(20, 72)(21, 61)(22, 63)(23, 67)(24, 69)(25, 77)(26, 80)(27, 73)(28, 84)(29, 81)(30, 87)(31, 74)(32, 88)(33, 75)(34, 76)(35, 91)(36, 89)(37, 93)(38, 78)(39, 94)(40, 79)(41, 82)(42, 83)(43, 95)(44, 85)(45, 96)(46, 86)(47, 90)(48, 92)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, (S * Z)^2, S * B * S * A, (B * A)^2, Z^-1 * A * Z * B, A * Z^-1 * B * A * Z, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 39, 63, 87, 15, 38, 62, 86, 14, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 42, 66, 90, 18, 46, 70, 94, 22, 43, 67, 91, 19, 34, 58, 82, 10, 27, 51, 75)(4, 35, 59, 83, 11, 40, 64, 88, 16, 47, 71, 95, 23, 44, 68, 92, 20, 36, 60, 84, 12, 28, 52, 76)(7, 41, 65, 89, 17, 48, 72, 96, 24, 45, 69, 93, 21, 37, 61, 85, 13, 33, 57, 81, 9, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 49)(4, 57)(5, 60)(6, 64)(7, 50)(8, 59)(9, 52)(10, 61)(11, 56)(12, 53)(13, 58)(14, 69)(15, 70)(16, 54)(17, 66)(18, 65)(19, 68)(20, 67)(21, 62)(22, 63)(23, 72)(24, 71)(25, 76)(26, 80)(27, 81)(28, 73)(29, 85)(30, 89)(31, 83)(32, 74)(33, 75)(34, 84)(35, 79)(36, 82)(37, 77)(38, 91)(39, 95)(40, 90)(41, 78)(42, 88)(43, 86)(44, 93)(45, 92)(46, 96)(47, 87)(48, 94)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E21.39
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, (B * A)^2, S * A * S * B, (S * Z)^2, Z^-1 * B * Z * A, B * A * Z^-1 * A * Z, Z^6, (Z^-1 * B)^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 39, 63, 87, 15, 38, 62, 86, 14, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 46, 70, 94, 22, 43, 67, 91, 19, 35, 59, 83, 11, 27, 51, 75)(4, 31, 55, 79, 7, 42, 66, 90, 18, 47, 71, 95, 23, 44, 68, 92, 20, 36, 60, 84, 12, 28, 52, 76)(8, 40, 64, 88, 16, 48, 72, 96, 24, 45, 69, 93, 21, 37, 61, 85, 13, 34, 58, 82, 10, 32, 56, 80)
	L = (1, 51)(2, 55)(3, 49)(4, 58)(5, 61)(6, 64)(7, 50)(8, 57)(9, 56)(10, 52)(11, 60)(12, 59)(13, 53)(14, 68)(15, 70)(16, 54)(17, 66)(18, 65)(19, 69)(20, 62)(21, 67)(22, 63)(23, 72)(24, 71)(25, 76)(26, 80)(27, 82)(28, 73)(29, 83)(30, 89)(31, 81)(32, 74)(33, 79)(34, 75)(35, 77)(36, 85)(37, 84)(38, 93)(39, 95)(40, 90)(41, 78)(42, 88)(43, 92)(44, 91)(45, 86)(46, 96)(47, 87)(48, 94)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E21.38
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.40 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, S^2, B^-1 * A, (S * Z)^2, S * B * S * A, Z^6, Z^2 * A * Z^-1 * A * Z^-1 * A ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 35, 59, 83, 11, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 46, 70, 94, 22, 42, 66, 90, 18, 32, 56, 80, 8, 27, 51, 75)(6, 37, 61, 85, 13, 48, 72, 96, 24, 45, 69, 93, 21, 41, 65, 89, 17, 38, 62, 86, 14, 30, 54, 78)(9, 43, 67, 91, 19, 40, 64, 88, 16, 36, 60, 84, 12, 47, 71, 95, 23, 44, 68, 92, 20, 33, 57, 81)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 60)(6, 50)(7, 64)(8, 65)(9, 52)(10, 69)(11, 70)(12, 53)(13, 63)(14, 67)(15, 61)(16, 55)(17, 56)(18, 68)(19, 62)(20, 66)(21, 58)(22, 59)(23, 72)(24, 71)(25, 75)(26, 78)(27, 73)(28, 81)(29, 84)(30, 74)(31, 88)(32, 89)(33, 76)(34, 93)(35, 94)(36, 77)(37, 87)(38, 91)(39, 85)(40, 79)(41, 80)(42, 92)(43, 86)(44, 90)(45, 82)(46, 83)(47, 96)(48, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.41 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, A * Z * B * Z^-1, B * Z^-1 * A * Z, S * B * S * A, (S * Z)^2, (B * A)^2, B * Z^2 * B * Z * A, Z^6 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 39, 63, 87, 15, 38, 62, 86, 14, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 44, 68, 92, 20, 47, 71, 95, 23, 46, 70, 94, 22, 34, 58, 82, 10, 27, 51, 75)(4, 35, 59, 83, 11, 40, 64, 88, 16, 48, 72, 96, 24, 42, 66, 90, 18, 36, 60, 84, 12, 28, 52, 76)(7, 41, 65, 89, 17, 33, 57, 81, 9, 45, 69, 93, 21, 37, 61, 85, 13, 43, 67, 91, 19, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 49)(4, 57)(5, 60)(6, 64)(7, 50)(8, 66)(9, 52)(10, 65)(11, 70)(12, 53)(13, 68)(14, 69)(15, 71)(16, 54)(17, 58)(18, 56)(19, 72)(20, 61)(21, 62)(22, 59)(23, 63)(24, 67)(25, 76)(26, 80)(27, 81)(28, 73)(29, 85)(30, 89)(31, 90)(32, 74)(33, 75)(34, 88)(35, 93)(36, 92)(37, 77)(38, 94)(39, 96)(40, 82)(41, 78)(42, 79)(43, 95)(44, 84)(45, 83)(46, 86)(47, 91)(48, 87)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E21.42
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.42 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, A * Z^-1 * B * Z, (A * B)^2, (S * Z)^2, S * A * S * B, (Z^-1 * B)^3, Z^6, A * Z^2 * B * Z^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 39, 63, 87, 15, 38, 62, 86, 14, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 47, 71, 95, 23, 43, 67, 91, 19, 35, 59, 83, 11, 27, 51, 75)(4, 31, 55, 79, 7, 42, 66, 90, 18, 48, 72, 96, 24, 46, 70, 94, 22, 36, 60, 84, 12, 28, 52, 76)(8, 40, 64, 88, 16, 34, 58, 82, 10, 45, 69, 93, 21, 37, 61, 85, 13, 44, 68, 92, 20, 32, 56, 80)
	L = (1, 51)(2, 55)(3, 49)(4, 58)(5, 61)(6, 64)(7, 50)(8, 67)(9, 69)(10, 52)(11, 66)(12, 65)(13, 53)(14, 70)(15, 71)(16, 54)(17, 60)(18, 59)(19, 56)(20, 72)(21, 57)(22, 62)(23, 63)(24, 68)(25, 76)(26, 80)(27, 82)(28, 73)(29, 83)(30, 89)(31, 91)(32, 74)(33, 94)(34, 75)(35, 77)(36, 88)(37, 90)(38, 93)(39, 96)(40, 84)(41, 78)(42, 85)(43, 79)(44, 95)(45, 86)(46, 81)(47, 92)(48, 87)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E21.41
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.43 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, A * B, S * B * S * A, (S * Z)^2, Z^6, (A * Z^-1)^3, Z^3 * B * Z^3 * A ]
Map::
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 35, 59, 83, 11, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 44, 68, 92, 20, 41, 65, 89, 17, 32, 56, 80, 8, 27, 51, 75)(6, 37, 61, 85, 13, 47, 71, 95, 23, 43, 67, 91, 19, 48, 72, 96, 24, 38, 62, 86, 14, 30, 54, 78)(9, 42, 66, 90, 18, 46, 70, 94, 22, 36, 60, 84, 12, 45, 69, 93, 21, 40, 64, 88, 16, 33, 57, 81)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 60)(6, 50)(7, 64)(8, 61)(9, 52)(10, 67)(11, 68)(12, 53)(13, 56)(14, 69)(15, 72)(16, 55)(17, 70)(18, 71)(19, 58)(20, 59)(21, 62)(22, 65)(23, 66)(24, 63)(25, 75)(26, 78)(27, 73)(28, 81)(29, 84)(30, 74)(31, 88)(32, 85)(33, 76)(34, 91)(35, 92)(36, 77)(37, 80)(38, 93)(39, 96)(40, 79)(41, 94)(42, 95)(43, 82)(44, 83)(45, 86)(46, 89)(47, 90)(48, 87)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.44 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, B^3, A^3, Z^-1 * A * Z * B^-1, B^-1 * Z^-2 * A^-1, S * A * S * B, (B^-1 * Z^-1)^2, A^-1 * Z * B * Z^-1, (A * B^-1)^2, Z^-1 * A^-1 * B^-1 * Z^-1, (S * Z)^2, A^-1 * Z * A^-1 * Z^-1 * B^-1, Z * B^-1 * A * Z * A^-1, Z^-2 * B * A * Z^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 47, 71, 95, 23, 41, 65, 89, 17, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 31, 55, 79, 7, 45, 69, 93, 21, 48, 72, 96, 24, 38, 62, 86, 14, 27, 51, 75)(4, 40, 64, 88, 16, 37, 61, 85, 13, 35, 59, 83, 11, 44, 68, 92, 20, 42, 66, 90, 18, 28, 52, 76)(6, 36, 60, 84, 12, 39, 63, 87, 15, 43, 67, 91, 19, 46, 70, 94, 22, 33, 57, 81, 9, 30, 54, 78)
	L = (1, 51)(2, 57)(3, 54)(4, 65)(5, 66)(6, 49)(7, 68)(8, 61)(9, 59)(10, 53)(11, 50)(12, 62)(13, 72)(14, 64)(15, 52)(16, 60)(17, 63)(18, 58)(19, 71)(20, 70)(21, 67)(22, 55)(23, 69)(24, 56)(25, 79)(26, 84)(27, 87)(28, 73)(29, 88)(30, 80)(31, 76)(32, 92)(33, 90)(34, 74)(35, 95)(36, 82)(37, 75)(38, 83)(39, 85)(40, 91)(41, 94)(42, 93)(43, 77)(44, 78)(45, 81)(46, 96)(47, 86)(48, 89)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.45 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, A^3, B^3, (B^-1 * A)^2, (Z * B)^2, A^-1 * Z^-2 * B^-1, (A^-1 * Z^-1)^2, B^-1 * Z * A * Z^-1, S * A * S * B, (S * Z)^2, Z^-2 * A * B * Z^-2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 47, 71, 95, 23, 38, 62, 86, 14, 29, 53, 77, 5, 25, 49, 73)(3, 37, 61, 85, 13, 41, 65, 89, 17, 36, 60, 84, 12, 45, 69, 93, 21, 39, 63, 87, 15, 27, 51, 75)(4, 33, 57, 81, 9, 30, 54, 78, 6, 44, 68, 92, 20, 48, 72, 96, 24, 42, 66, 90, 18, 28, 52, 76)(7, 35, 59, 83, 11, 40, 64, 88, 16, 43, 67, 91, 19, 46, 70, 94, 22, 34, 58, 82, 10, 31, 55, 79)
	L = (1, 51)(2, 57)(3, 54)(4, 65)(5, 67)(6, 49)(7, 69)(8, 55)(9, 59)(10, 68)(11, 50)(12, 66)(13, 53)(14, 72)(15, 58)(16, 52)(17, 64)(18, 71)(19, 61)(20, 63)(21, 56)(22, 62)(23, 60)(24, 70)(25, 79)(26, 84)(27, 88)(28, 73)(29, 81)(30, 94)(31, 76)(32, 96)(33, 87)(34, 74)(35, 85)(36, 82)(37, 90)(38, 75)(39, 77)(40, 86)(41, 80)(42, 83)(43, 92)(44, 95)(45, 78)(46, 93)(47, 91)(48, 89)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.46 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {6, 6})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B^-1 * A^-1 * B^-1, A^3, Z^-1 * A^-1 * Z^-1 * B^-1, Z * B * Z * A, (S * Z)^2, S * B * S * A, Z^6, (A * Z^-2)^2 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 43, 67, 91, 19, 47, 71, 95, 23, 40, 64, 88, 16, 34, 58, 82, 10, 27, 51, 75)(5, 37, 61, 85, 13, 46, 70, 94, 22, 48, 72, 96, 24, 41, 65, 89, 17, 31, 55, 79, 7, 29, 53, 77)(8, 42, 66, 90, 18, 35, 59, 83, 11, 45, 69, 93, 21, 44, 68, 92, 20, 39, 63, 87, 15, 32, 56, 80)
	L = (1, 51)(2, 55)(3, 53)(4, 59)(5, 49)(6, 63)(7, 56)(8, 50)(9, 52)(10, 68)(11, 57)(12, 70)(13, 58)(14, 71)(15, 64)(16, 54)(17, 67)(18, 65)(19, 66)(20, 61)(21, 60)(22, 69)(23, 72)(24, 62)(25, 77)(26, 80)(27, 73)(28, 81)(29, 75)(30, 88)(31, 74)(32, 79)(33, 83)(34, 85)(35, 76)(36, 93)(37, 92)(38, 96)(39, 78)(40, 87)(41, 90)(42, 91)(43, 89)(44, 82)(45, 94)(46, 84)(47, 86)(48, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.47 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 12})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, Z^-1 * B * Z * B, Z^-1 * A * Z * A, S * B * S * A, (S * Z)^2, Z^4, (B * A)^3, (B * Z^-1 * A)^12 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76)(9, 39, 63, 87, 15, 44, 68, 92, 20, 42, 66, 90, 18, 33, 57, 81)(11, 40, 64, 88, 16, 45, 69, 93, 21, 43, 67, 91, 19, 35, 59, 83)(17, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 41, 65, 89)
	L = (1, 51)(2, 55)(3, 49)(4, 59)(5, 58)(6, 61)(7, 50)(8, 64)(9, 65)(10, 53)(11, 52)(12, 67)(13, 54)(14, 69)(15, 70)(16, 56)(17, 57)(18, 71)(19, 60)(20, 72)(21, 62)(22, 63)(23, 66)(24, 68)(25, 76)(26, 80)(27, 81)(28, 73)(29, 84)(30, 86)(31, 87)(32, 74)(33, 75)(34, 90)(35, 89)(36, 77)(37, 92)(38, 78)(39, 79)(40, 94)(41, 83)(42, 82)(43, 95)(44, 85)(45, 96)(46, 88)(47, 91)(48, 93)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.49
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.48 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 12})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, Z^4, B * Z * B * Z^-1, A * Z^-1 * A * Z, S * B * S * A, (S * Z)^2, A * B * Z^-1 * A * B * A * B * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76)(9, 39, 63, 87, 15, 45, 69, 93, 21, 42, 66, 90, 18, 33, 57, 81)(11, 40, 64, 88, 16, 46, 70, 94, 22, 44, 68, 92, 20, 35, 59, 83)(17, 47, 71, 95, 23, 43, 67, 91, 19, 48, 72, 96, 24, 41, 65, 89)
	L = (1, 51)(2, 55)(3, 49)(4, 59)(5, 58)(6, 61)(7, 50)(8, 64)(9, 65)(10, 53)(11, 52)(12, 68)(13, 54)(14, 70)(15, 71)(16, 56)(17, 57)(18, 72)(19, 69)(20, 60)(21, 67)(22, 62)(23, 63)(24, 66)(25, 76)(26, 80)(27, 81)(28, 73)(29, 84)(30, 86)(31, 87)(32, 74)(33, 75)(34, 90)(35, 91)(36, 77)(37, 93)(38, 78)(39, 79)(40, 96)(41, 94)(42, 82)(43, 83)(44, 95)(45, 85)(46, 89)(47, 92)(48, 88)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.50
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.49 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 12})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ B^2, S^2, A^2, Z * B * Z^-1 * A, (S * Z)^2, S * B * S * A, B * A * Z * A * B * Z^-1, B * A * B * Z * A * Z^-1, (Z^-1 * A * Z^-1)^2, Z^-1 * B * A * Z^-3 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 40, 64, 88, 16, 36, 60, 84, 12, 46, 70, 94, 22, 48, 72, 96, 24, 47, 71, 95, 23, 33, 57, 81, 9, 43, 67, 91, 19, 39, 63, 87, 15, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 45, 69, 93, 21, 38, 62, 86, 14, 44, 68, 92, 20, 31, 55, 79, 7, 42, 66, 90, 18, 37, 61, 85, 13, 28, 52, 76, 4, 35, 59, 83, 11, 41, 65, 89, 17, 34, 58, 82, 10, 27, 51, 75)
	L = (1, 51)(2, 55)(3, 49)(4, 60)(5, 61)(6, 65)(7, 50)(8, 70)(9, 68)(10, 71)(11, 67)(12, 52)(13, 53)(14, 64)(15, 69)(16, 62)(17, 54)(18, 72)(19, 59)(20, 57)(21, 63)(22, 56)(23, 58)(24, 66)(25, 76)(26, 80)(27, 81)(28, 73)(29, 86)(30, 90)(31, 91)(32, 74)(33, 75)(34, 88)(35, 94)(36, 92)(37, 95)(38, 77)(39, 89)(40, 82)(41, 87)(42, 78)(43, 79)(44, 84)(45, 96)(46, 83)(47, 85)(48, 93)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.47
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.50 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 12})
Quotient :: toric
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^-2 * A * B, (S * Z)^2, S * A * S * B, Z^-2 * B * Z * A * Z^-1, A * Z * A * B * Z * B * Z^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 46, 70, 94, 22, 43, 67, 91, 19, 47, 71, 95, 23, 44, 68, 92, 20, 48, 72, 96, 24, 45, 69, 93, 21, 36, 60, 84, 12, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 35, 59, 83, 11, 41, 65, 89, 17, 31, 55, 79, 7, 40, 64, 88, 16, 32, 56, 80, 8, 42, 66, 90, 18, 37, 61, 85, 13, 39, 63, 87, 15, 34, 58, 82, 10, 27, 51, 75)
	L = (1, 51)(2, 55)(3, 49)(4, 60)(5, 56)(6, 63)(7, 50)(8, 53)(9, 67)(10, 68)(11, 62)(12, 52)(13, 69)(14, 59)(15, 54)(16, 71)(17, 72)(18, 70)(19, 57)(20, 58)(21, 61)(22, 66)(23, 64)(24, 65)(25, 76)(26, 80)(27, 78)(28, 73)(29, 85)(30, 75)(31, 86)(32, 74)(33, 92)(34, 93)(35, 91)(36, 89)(37, 77)(38, 79)(39, 94)(40, 96)(41, 84)(42, 95)(43, 83)(44, 81)(45, 82)(46, 87)(47, 90)(48, 88)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.48
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.51 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z, A^-1), S * A * S * B, (S * Z)^2, A * Z^-1 * B^-1 * Z, Z^5, A^2 * Z^-1 * A^2 * B ]
Map::
	R = (1, 27, 52, 77, 2, 31, 56, 81, 6, 36, 61, 86, 11, 29, 54, 79, 4, 26, 51, 76)(3, 32, 57, 82, 7, 39, 64, 89, 14, 44, 69, 94, 19, 35, 60, 85, 10, 28, 53, 78)(5, 33, 58, 83, 8, 40, 65, 90, 15, 45, 70, 95, 20, 37, 62, 87, 12, 30, 55, 80)(9, 41, 66, 91, 16, 47, 72, 97, 22, 49, 74, 99, 24, 43, 68, 93, 18, 34, 59, 84)(13, 42, 67, 92, 17, 48, 73, 98, 23, 50, 75, 100, 25, 46, 71, 96, 21, 38, 63, 88)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 64)(7, 66)(8, 52)(9, 67)(10, 68)(11, 69)(12, 54)(13, 55)(14, 72)(15, 56)(16, 73)(17, 58)(18, 63)(19, 74)(20, 61)(21, 62)(22, 75)(23, 65)(24, 71)(25, 70)(26, 80)(27, 83)(28, 76)(29, 87)(30, 88)(31, 90)(32, 77)(33, 92)(34, 78)(35, 79)(36, 95)(37, 96)(38, 93)(39, 81)(40, 98)(41, 82)(42, 84)(43, 85)(44, 86)(45, 100)(46, 99)(47, 89)(48, 91)(49, 94)(50, 97)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 50 f = 5
	degree seq :: [ 20^5 ]

E21.52 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * A * S * B, (S * Z)^2, (A, Z), Z^5, A^-2 * B * Z^-1 * A * Z, A^-2 * Z * B^-1 * A^-2 * Z ]
Map::
	R = (1, 27, 52, 77, 2, 31, 56, 81, 6, 36, 61, 86, 11, 29, 54, 79, 4, 26, 51, 76)(3, 32, 57, 82, 7, 39, 64, 89, 14, 45, 70, 95, 20, 35, 60, 85, 10, 28, 53, 78)(5, 33, 58, 83, 8, 40, 65, 90, 15, 46, 71, 96, 21, 37, 62, 87, 12, 30, 55, 80)(9, 41, 66, 91, 16, 49, 74, 99, 24, 48, 73, 98, 23, 44, 69, 94, 19, 34, 59, 84)(13, 42, 67, 92, 17, 43, 68, 93, 18, 50, 75, 100, 25, 47, 72, 97, 22, 38, 63, 88)
	L = (1, 53)(2, 57)(3, 59)(4, 60)(5, 51)(6, 64)(7, 66)(8, 52)(9, 68)(10, 69)(11, 70)(12, 54)(13, 55)(14, 74)(15, 56)(16, 75)(17, 58)(18, 65)(19, 67)(20, 73)(21, 61)(22, 62)(23, 63)(24, 72)(25, 71)(26, 80)(27, 83)(28, 76)(29, 87)(30, 88)(31, 90)(32, 77)(33, 92)(34, 78)(35, 79)(36, 96)(37, 97)(38, 98)(39, 81)(40, 93)(41, 82)(42, 94)(43, 84)(44, 85)(45, 86)(46, 100)(47, 99)(48, 95)(49, 89)(50, 91)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 50 f = 5
	degree seq :: [ 20^5 ]

E21.53 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 x C5 (small group id <25, 2>)
Aut   = C5 x D10 (small group id <50, 3>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, (Z, A^-1), (S * Z)^2, S * A * S * B, (B^-1, Z^-1), A^3 * B^-2, Z^5 ]
Map:: non-degenerate
	R = (1, 27, 52, 77, 2, 31, 56, 81, 6, 38, 63, 88, 13, 30, 55, 80, 5, 26, 51, 76)(3, 32, 57, 82, 7, 39, 64, 89, 14, 44, 69, 94, 19, 35, 60, 85, 10, 28, 53, 78)(4, 33, 58, 83, 8, 40, 65, 90, 15, 46, 71, 96, 21, 37, 62, 87, 12, 29, 54, 79)(9, 41, 66, 91, 16, 47, 72, 97, 22, 49, 74, 99, 24, 43, 68, 93, 18, 34, 59, 84)(11, 42, 67, 92, 17, 48, 73, 98, 23, 50, 75, 100, 25, 45, 70, 95, 20, 36, 61, 86)
	L = (1, 53)(2, 57)(3, 59)(4, 51)(5, 60)(6, 64)(7, 66)(8, 52)(9, 61)(10, 68)(11, 54)(12, 55)(13, 69)(14, 72)(15, 56)(16, 67)(17, 58)(18, 70)(19, 74)(20, 62)(21, 63)(22, 73)(23, 65)(24, 75)(25, 71)(26, 78)(27, 82)(28, 84)(29, 76)(30, 85)(31, 89)(32, 91)(33, 77)(34, 86)(35, 93)(36, 79)(37, 80)(38, 94)(39, 97)(40, 81)(41, 92)(42, 83)(43, 95)(44, 99)(45, 87)(46, 88)(47, 98)(48, 90)(49, 100)(50, 96)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 50 f = 5
	degree seq :: [ 20^5 ]

E21.54 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 x C5 (small group id <25, 2>)
Aut   = C5 x D10 (small group id <50, 3>)
|r| :: 2
Presentation :: [ S^2, (B^-1, Z^-1), Z * A * Z * B, Z * B * A * Z, (A, Z^-1), (S * Z)^2, B * Z^2 * A, S * A * S * B, B^-1 * A^-2 * Z * B^-1, A * B * Z^-3, A^5, B^5, A * B^-2 * A * Z * A, B * A^-1 * B * A^-1 * B * Z ]
Map:: non-degenerate
	R = (1, 27, 52, 77, 2, 33, 58, 83, 8, 39, 64, 89, 14, 30, 55, 80, 5, 26, 51, 76)(3, 34, 59, 84, 9, 32, 57, 82, 7, 37, 62, 87, 12, 40, 65, 90, 15, 28, 53, 78)(4, 35, 60, 85, 10, 31, 56, 81, 6, 36, 61, 86, 11, 43, 68, 93, 18, 29, 54, 79)(13, 47, 72, 97, 22, 41, 66, 91, 16, 48, 73, 98, 23, 46, 71, 96, 21, 38, 63, 88)(17, 49, 74, 99, 24, 44, 69, 94, 19, 50, 75, 100, 25, 45, 70, 95, 20, 42, 67, 92)
	L = (1, 53)(2, 59)(3, 63)(4, 64)(5, 65)(6, 51)(7, 66)(8, 57)(9, 72)(10, 55)(11, 52)(12, 73)(13, 70)(14, 62)(15, 71)(16, 74)(17, 61)(18, 58)(19, 54)(20, 56)(21, 75)(22, 67)(23, 69)(24, 68)(25, 60)(26, 82)(27, 87)(28, 91)(29, 76)(30, 84)(31, 83)(32, 96)(33, 90)(34, 98)(35, 77)(36, 89)(37, 88)(38, 99)(39, 78)(40, 97)(41, 100)(42, 79)(43, 80)(44, 81)(45, 93)(46, 92)(47, 94)(48, 95)(49, 85)(50, 86)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 5 e = 50 f = 5
	degree seq :: [ 20^5 ]

E21.55 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
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 * B^-1, Z^3, S * B * S * A, (S * Z)^2, (Z, B^-1), (Z, A^-1), B^5 * A^-5 ]
Map:: non-degenerate
	R = (1, 32, 62, 92, 2, 35, 65, 95, 5, 31, 61, 91)(3, 36, 66, 96, 6, 39, 69, 99, 9, 33, 63, 93)(4, 37, 67, 97, 7, 41, 71, 101, 11, 34, 64, 94)(8, 42, 72, 102, 12, 45, 75, 105, 15, 38, 68, 98)(10, 43, 73, 103, 13, 47, 77, 107, 17, 40, 70, 100)(14, 48, 78, 108, 18, 51, 81, 111, 21, 44, 74, 104)(16, 49, 79, 109, 19, 53, 83, 113, 23, 46, 76, 106)(20, 54, 84, 114, 24, 57, 87, 117, 27, 50, 80, 110)(22, 55, 85, 115, 25, 58, 88, 118, 28, 52, 82, 112)(26, 59, 89, 119, 29, 60, 90, 120, 30, 56, 86, 116)
	L = (1, 63)(2, 66)(3, 68)(4, 61)(5, 69)(6, 72)(7, 62)(8, 74)(9, 75)(10, 64)(11, 65)(12, 78)(13, 67)(14, 80)(15, 81)(16, 70)(17, 71)(18, 84)(19, 73)(20, 86)(21, 87)(22, 76)(23, 77)(24, 89)(25, 79)(26, 82)(27, 90)(28, 83)(29, 85)(30, 88)(31, 93)(32, 96)(33, 98)(34, 91)(35, 99)(36, 102)(37, 92)(38, 104)(39, 105)(40, 94)(41, 95)(42, 108)(43, 97)(44, 110)(45, 111)(46, 100)(47, 101)(48, 114)(49, 103)(50, 116)(51, 117)(52, 106)(53, 107)(54, 119)(55, 109)(56, 112)(57, 120)(58, 113)(59, 115)(60, 118)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 60 f = 10
	degree seq :: [ 12^10 ]

E21.56 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^3, (A, Z), S * B * S * A, (S * Z)^2, A^10 ]
Map::
	R = (1, 32, 62, 92, 2, 34, 64, 94, 4, 31, 61, 91)(3, 36, 66, 96, 6, 39, 69, 99, 9, 33, 63, 93)(5, 37, 67, 97, 7, 40, 70, 100, 10, 35, 65, 95)(8, 42, 72, 102, 12, 45, 75, 105, 15, 38, 68, 98)(11, 43, 73, 103, 13, 46, 76, 106, 16, 41, 71, 101)(14, 48, 78, 108, 18, 51, 81, 111, 21, 44, 74, 104)(17, 49, 79, 109, 19, 52, 82, 112, 22, 47, 77, 107)(20, 54, 84, 114, 24, 57, 87, 117, 27, 50, 80, 110)(23, 55, 85, 115, 25, 58, 88, 118, 28, 53, 83, 113)(26, 59, 89, 119, 29, 60, 90, 120, 30, 56, 86, 116)
	L = (1, 63)(2, 66)(3, 68)(4, 69)(5, 61)(6, 72)(7, 62)(8, 74)(9, 75)(10, 64)(11, 65)(12, 78)(13, 67)(14, 80)(15, 81)(16, 70)(17, 71)(18, 84)(19, 73)(20, 86)(21, 87)(22, 76)(23, 77)(24, 89)(25, 79)(26, 83)(27, 90)(28, 82)(29, 85)(30, 88)(31, 95)(32, 97)(33, 91)(34, 100)(35, 101)(36, 92)(37, 103)(38, 93)(39, 94)(40, 106)(41, 107)(42, 96)(43, 109)(44, 98)(45, 99)(46, 112)(47, 113)(48, 102)(49, 115)(50, 104)(51, 105)(52, 118)(53, 116)(54, 108)(55, 119)(56, 110)(57, 111)(58, 120)(59, 114)(60, 117)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 60 f = 10
	degree seq :: [ 12^10 ]

E21.57 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 4})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Z^2, B^2, S^2, A^2, S * B * S * A, (S * Z)^2, B * Z * B * A * Z * A, (Z * B)^4, (A * Z)^4, A * B * A * B * A * B * A * Z * B * Z ]
Map:: polytopal non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 44, 76, 108, 12, 40, 72, 104)(10, 46, 78, 110, 14, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 53, 85, 117, 21, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 55, 87, 119, 23, 50, 82, 114)(19, 59, 91, 123, 27, 51, 83, 115)(22, 61, 93, 125, 29, 54, 86, 118)(24, 63, 95, 127, 31, 56, 88, 120)(26, 62, 94, 126, 30, 58, 90, 122)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 69)(3, 65)(4, 74)(5, 66)(6, 78)(7, 79)(8, 81)(9, 82)(10, 68)(11, 84)(12, 86)(13, 87)(14, 70)(15, 71)(16, 89)(17, 72)(18, 73)(19, 92)(20, 75)(21, 93)(22, 76)(23, 77)(24, 96)(25, 80)(26, 95)(27, 94)(28, 83)(29, 85)(30, 91)(31, 90)(32, 88)(33, 100)(34, 102)(35, 104)(36, 97)(37, 108)(38, 98)(39, 112)(40, 99)(41, 111)(42, 115)(43, 117)(44, 101)(45, 116)(46, 120)(47, 105)(48, 103)(49, 122)(50, 123)(51, 106)(52, 109)(53, 107)(54, 126)(55, 127)(56, 110)(57, 128)(58, 113)(59, 114)(60, 125)(61, 124)(62, 118)(63, 119)(64, 121)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.58
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.58 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 4})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, Z^-1 * A * Z * A, Z^-1 * B * Z * B, S * B * S * A, (S * Z)^2, Z^4, (A * Z^-1 * B * A * B)^2 ]
Map:: polytopal non-degenerate
	R = (1, 34, 66, 98, 2, 38, 70, 102, 6, 37, 69, 101, 5, 33, 65, 97)(3, 39, 71, 103, 7, 45, 77, 109, 13, 42, 74, 106, 10, 35, 67, 99)(4, 40, 72, 104, 8, 46, 78, 110, 14, 44, 76, 108, 12, 36, 68, 100)(9, 47, 79, 111, 15, 53, 85, 117, 21, 50, 82, 114, 18, 41, 73, 105)(11, 48, 80, 112, 16, 54, 86, 118, 22, 52, 84, 116, 20, 43, 75, 107)(17, 55, 87, 119, 23, 61, 93, 125, 29, 58, 90, 122, 26, 49, 81, 113)(19, 56, 88, 120, 24, 62, 94, 126, 30, 60, 92, 124, 28, 51, 83, 115)(25, 63, 95, 127, 31, 59, 91, 123, 27, 64, 96, 128, 32, 57, 89, 121)
	L = (1, 67)(2, 71)(3, 65)(4, 75)(5, 74)(6, 77)(7, 66)(8, 80)(9, 81)(10, 69)(11, 68)(12, 84)(13, 70)(14, 86)(15, 87)(16, 72)(17, 73)(18, 90)(19, 91)(20, 76)(21, 93)(22, 78)(23, 79)(24, 96)(25, 94)(26, 82)(27, 83)(28, 95)(29, 85)(30, 89)(31, 92)(32, 88)(33, 100)(34, 104)(35, 105)(36, 97)(37, 108)(38, 110)(39, 111)(40, 98)(41, 99)(42, 114)(43, 115)(44, 101)(45, 117)(46, 102)(47, 103)(48, 120)(49, 121)(50, 106)(51, 107)(52, 124)(53, 109)(54, 126)(55, 127)(56, 112)(57, 113)(58, 128)(59, 125)(60, 116)(61, 123)(62, 118)(63, 119)(64, 122)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.57
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.59 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = C2 x C4 x D10 (small group id <80, 36>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (B * A^-1)^2, (S * Z)^2, S * B * S * A, B * Z * B * A^-1 * Z * A^-1, A^2 * Z * A^-2 * Z, B * Z * B * Z * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 51, 91, 131, 11, 48, 88, 128)(13, 57, 97, 137, 17, 53, 93, 133)(14, 58, 98, 138, 18, 54, 94, 134)(15, 59, 99, 139, 19, 55, 95, 135)(16, 60, 100, 140, 20, 56, 96, 136)(21, 65, 105, 145, 25, 61, 101, 141)(22, 66, 106, 146, 26, 62, 102, 142)(23, 67, 107, 147, 27, 63, 103, 143)(24, 68, 108, 148, 28, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 91)(6, 82)(7, 93)(8, 84)(9, 94)(10, 95)(11, 86)(12, 96)(13, 89)(14, 87)(15, 92)(16, 90)(17, 101)(18, 102)(19, 103)(20, 104)(21, 98)(22, 97)(23, 100)(24, 99)(25, 109)(26, 110)(27, 111)(28, 112)(29, 106)(30, 105)(31, 108)(32, 107)(33, 117)(34, 118)(35, 119)(36, 120)(37, 114)(38, 113)(39, 116)(40, 115)(41, 123)(42, 125)(43, 128)(44, 121)(45, 131)(46, 122)(47, 133)(48, 124)(49, 134)(50, 135)(51, 126)(52, 136)(53, 129)(54, 127)(55, 132)(56, 130)(57, 141)(58, 142)(59, 143)(60, 144)(61, 138)(62, 137)(63, 140)(64, 139)(65, 149)(66, 150)(67, 151)(68, 152)(69, 146)(70, 145)(71, 148)(72, 147)(73, 157)(74, 158)(75, 159)(76, 160)(77, 154)(78, 153)(79, 156)(80, 155)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.60 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = C2 x C4 x D10 (small group id <80, 36>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, S * B * S * A, (S * Z)^2, B * Z * B * A^-1 * Z * A^-1, A^2 * Z * B^-2 * Z, B * Z * B * Z * A^-1 * Z * A^-1 * Z, B^3 * Z * A^2 * B^-5 * Z, A^3 * Z * B^2 * A^-5 * Z ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 51, 91, 131, 11, 45, 85, 125)(6, 53, 93, 133, 13, 46, 86, 126)(8, 54, 94, 134, 14, 48, 88, 128)(10, 52, 92, 132, 12, 50, 90, 130)(15, 60, 100, 140, 20, 55, 95, 135)(16, 63, 103, 143, 23, 56, 96, 136)(17, 65, 105, 145, 25, 57, 97, 137)(18, 61, 101, 141, 21, 58, 98, 138)(19, 67, 107, 147, 27, 59, 99, 139)(22, 69, 109, 149, 29, 62, 102, 142)(24, 71, 111, 151, 31, 64, 104, 144)(26, 72, 112, 152, 32, 66, 106, 146)(28, 70, 110, 150, 30, 68, 108, 148)(33, 79, 119, 159, 39, 73, 113, 153)(34, 78, 118, 158, 38, 74, 114, 154)(35, 77, 117, 157, 37, 75, 115, 155)(36, 80, 120, 160, 40, 76, 116, 156)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 98)(10, 84)(11, 100)(12, 102)(13, 103)(14, 86)(15, 89)(16, 87)(17, 106)(18, 107)(19, 90)(20, 93)(21, 91)(22, 110)(23, 111)(24, 94)(25, 96)(26, 114)(27, 115)(28, 99)(29, 101)(30, 118)(31, 119)(32, 104)(33, 105)(34, 117)(35, 120)(36, 108)(37, 109)(38, 113)(39, 116)(40, 112)(41, 123)(42, 125)(43, 128)(44, 121)(45, 132)(46, 122)(47, 135)(48, 137)(49, 138)(50, 124)(51, 140)(52, 142)(53, 143)(54, 126)(55, 129)(56, 127)(57, 146)(58, 147)(59, 130)(60, 133)(61, 131)(62, 150)(63, 151)(64, 134)(65, 136)(66, 154)(67, 155)(68, 139)(69, 141)(70, 158)(71, 159)(72, 144)(73, 145)(74, 157)(75, 160)(76, 148)(77, 149)(78, 153)(79, 156)(80, 152)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.61 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B, (S * Z)^2, S * A * S * B, A^-1 * Z * B * A * Z * A^-1, B^-1 * Z * A * Z * A * Z * B^-1 * Z, A^-9 * B^-1 ]
Map::
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 51, 91, 131, 11, 45, 85, 125)(6, 53, 93, 133, 13, 46, 86, 126)(8, 52, 92, 132, 12, 48, 88, 128)(10, 54, 94, 134, 14, 50, 90, 130)(15, 60, 100, 140, 20, 55, 95, 135)(16, 61, 101, 141, 21, 56, 96, 136)(17, 65, 105, 145, 25, 57, 97, 137)(18, 63, 103, 143, 23, 58, 98, 138)(19, 67, 107, 147, 27, 59, 99, 139)(22, 69, 109, 149, 29, 62, 102, 142)(24, 71, 111, 151, 31, 64, 104, 144)(26, 70, 110, 150, 30, 66, 106, 146)(28, 72, 112, 152, 32, 68, 108, 148)(33, 76, 116, 156, 36, 73, 113, 153)(34, 79, 119, 159, 39, 74, 114, 154)(35, 78, 118, 158, 38, 75, 115, 155)(37, 80, 120, 160, 40, 77, 117, 157)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 96)(10, 84)(11, 100)(12, 102)(13, 101)(14, 86)(15, 105)(16, 87)(17, 106)(18, 89)(19, 90)(20, 109)(21, 91)(22, 110)(23, 93)(24, 94)(25, 113)(26, 114)(27, 98)(28, 99)(29, 116)(30, 117)(31, 103)(32, 104)(33, 119)(34, 108)(35, 107)(36, 120)(37, 112)(38, 111)(39, 115)(40, 118)(41, 124)(42, 126)(43, 121)(44, 130)(45, 122)(46, 134)(47, 136)(48, 123)(49, 138)(50, 139)(51, 141)(52, 125)(53, 143)(54, 144)(55, 127)(56, 129)(57, 128)(58, 147)(59, 148)(60, 131)(61, 133)(62, 132)(63, 151)(64, 152)(65, 135)(66, 137)(67, 155)(68, 154)(69, 140)(70, 142)(71, 158)(72, 157)(73, 145)(74, 146)(75, 159)(76, 149)(77, 150)(78, 160)(79, 153)(80, 156)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.62 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B, A^-1), (B * A^-1)^2, B^-2 * A^2, (S * Z)^2, A * Z * B^-1 * Z, S * A * S * B, B^-2 * A^-2 * B^-1 * A^-5 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 48, 88, 128, 8, 43, 83, 123)(4, 47, 87, 127, 7, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 49, 89, 129, 9, 46, 86, 126)(11, 56, 96, 136, 16, 51, 91, 131)(12, 57, 97, 137, 17, 52, 92, 132)(13, 58, 98, 138, 18, 53, 93, 133)(14, 59, 99, 139, 19, 54, 94, 134)(15, 60, 100, 140, 20, 55, 95, 135)(21, 66, 106, 146, 26, 61, 101, 141)(22, 65, 105, 145, 25, 62, 102, 142)(23, 68, 108, 148, 28, 63, 103, 143)(24, 67, 107, 147, 27, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 91)(4, 92)(5, 81)(6, 93)(7, 96)(8, 97)(9, 82)(10, 98)(11, 101)(12, 102)(13, 84)(14, 85)(15, 86)(16, 105)(17, 106)(18, 88)(19, 89)(20, 90)(21, 109)(22, 110)(23, 94)(24, 95)(25, 113)(26, 114)(27, 99)(28, 100)(29, 117)(30, 118)(31, 103)(32, 104)(33, 119)(34, 120)(35, 107)(36, 108)(37, 112)(38, 111)(39, 116)(40, 115)(41, 126)(42, 130)(43, 133)(44, 121)(45, 135)(46, 134)(47, 138)(48, 122)(49, 140)(50, 139)(51, 124)(52, 123)(53, 125)(54, 144)(55, 143)(56, 128)(57, 127)(58, 129)(59, 148)(60, 147)(61, 132)(62, 131)(63, 152)(64, 151)(65, 137)(66, 136)(67, 156)(68, 155)(69, 142)(70, 141)(71, 157)(72, 158)(73, 146)(74, 145)(75, 159)(76, 160)(77, 150)(78, 149)(79, 154)(80, 153)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.63 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, S * B * S * A, (S * Z)^2, B * Z * B * A * Z * A, (B * Z)^10 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 51, 91, 131, 11, 48, 88, 128)(13, 57, 97, 137, 17, 53, 93, 133)(14, 58, 98, 138, 18, 54, 94, 134)(15, 59, 99, 139, 19, 55, 95, 135)(16, 60, 100, 140, 20, 56, 96, 136)(21, 65, 105, 145, 25, 61, 101, 141)(22, 66, 106, 146, 26, 62, 102, 142)(23, 67, 107, 147, 27, 63, 103, 143)(24, 68, 108, 148, 28, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 85)(3, 81)(4, 88)(5, 82)(6, 91)(7, 93)(8, 84)(9, 94)(10, 95)(11, 86)(12, 96)(13, 87)(14, 89)(15, 90)(16, 92)(17, 101)(18, 102)(19, 103)(20, 104)(21, 97)(22, 98)(23, 99)(24, 100)(25, 109)(26, 110)(27, 111)(28, 112)(29, 105)(30, 106)(31, 107)(32, 108)(33, 117)(34, 118)(35, 119)(36, 120)(37, 113)(38, 114)(39, 115)(40, 116)(41, 124)(42, 126)(43, 128)(44, 121)(45, 131)(46, 122)(47, 134)(48, 123)(49, 133)(50, 136)(51, 125)(52, 135)(53, 129)(54, 127)(55, 132)(56, 130)(57, 142)(58, 141)(59, 144)(60, 143)(61, 138)(62, 137)(63, 140)(64, 139)(65, 150)(66, 149)(67, 152)(68, 151)(69, 146)(70, 145)(71, 148)(72, 147)(73, 158)(74, 157)(75, 160)(76, 159)(77, 154)(78, 153)(79, 156)(80, 155)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.64 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, A^4, S * A * S * B, (S * Z)^2, (A^-1 * Z * A^-1)^2, A^-1 * Z * A^-1 * Z * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 51, 91, 131, 11, 48, 88, 128)(13, 57, 97, 137, 17, 53, 93, 133)(14, 58, 98, 138, 18, 54, 94, 134)(15, 59, 99, 139, 19, 55, 95, 135)(16, 60, 100, 140, 20, 56, 96, 136)(21, 65, 105, 145, 25, 61, 101, 141)(22, 66, 106, 146, 26, 62, 102, 142)(23, 67, 107, 147, 27, 63, 103, 143)(24, 68, 108, 148, 28, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 91)(6, 82)(7, 93)(8, 84)(9, 94)(10, 95)(11, 86)(12, 96)(13, 89)(14, 87)(15, 92)(16, 90)(17, 101)(18, 102)(19, 103)(20, 104)(21, 98)(22, 97)(23, 100)(24, 99)(25, 109)(26, 110)(27, 111)(28, 112)(29, 106)(30, 105)(31, 108)(32, 107)(33, 117)(34, 118)(35, 119)(36, 120)(37, 114)(38, 113)(39, 116)(40, 115)(41, 124)(42, 126)(43, 121)(44, 128)(45, 122)(46, 131)(47, 134)(48, 123)(49, 133)(50, 136)(51, 125)(52, 135)(53, 127)(54, 129)(55, 130)(56, 132)(57, 142)(58, 141)(59, 144)(60, 143)(61, 137)(62, 138)(63, 139)(64, 140)(65, 150)(66, 149)(67, 152)(68, 151)(69, 145)(70, 146)(71, 147)(72, 148)(73, 158)(74, 157)(75, 160)(76, 159)(77, 153)(78, 154)(79, 155)(80, 156)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.65 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-2 * A^-2, (A, B^-1), (A * Z)^2, S * A * S * B, (A^-1 * B^-1)^2, (S * Z)^2, (B^-1 * Z)^2, B^-2 * Z * A^2 * Z, B * A * Z * B^-1 * A^-1 * Z, B^2 * A^-1 * B^2 * A^-5 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 49, 89, 129, 9, 43, 83, 123)(4, 50, 90, 130, 10, 44, 84, 124)(5, 47, 87, 127, 7, 45, 85, 125)(6, 48, 88, 128, 8, 46, 86, 126)(11, 59, 99, 139, 19, 51, 91, 131)(12, 57, 97, 137, 17, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 56, 96, 136, 16, 54, 94, 134)(15, 58, 98, 138, 18, 55, 95, 135)(21, 68, 108, 148, 28, 61, 101, 141)(22, 67, 107, 147, 27, 62, 102, 142)(23, 66, 106, 146, 26, 63, 103, 143)(24, 65, 105, 145, 25, 64, 104, 144)(29, 75, 115, 155, 35, 69, 109, 149)(30, 76, 116, 156, 36, 70, 110, 150)(31, 73, 113, 153, 33, 71, 111, 151)(32, 74, 114, 154, 34, 72, 112, 152)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 91)(4, 92)(5, 81)(6, 93)(7, 96)(8, 97)(9, 82)(10, 98)(11, 101)(12, 86)(13, 102)(14, 85)(15, 84)(16, 105)(17, 90)(18, 106)(19, 89)(20, 88)(21, 109)(22, 110)(23, 95)(24, 94)(25, 113)(26, 114)(27, 100)(28, 99)(29, 117)(30, 118)(31, 104)(32, 103)(33, 119)(34, 120)(35, 108)(36, 107)(37, 111)(38, 112)(39, 115)(40, 116)(41, 126)(42, 130)(43, 133)(44, 121)(45, 132)(46, 131)(47, 138)(48, 122)(49, 137)(50, 136)(51, 142)(52, 123)(53, 141)(54, 124)(55, 125)(56, 146)(57, 127)(58, 145)(59, 128)(60, 129)(61, 150)(62, 149)(63, 134)(64, 135)(65, 154)(66, 153)(67, 139)(68, 140)(69, 158)(70, 157)(71, 143)(72, 144)(73, 160)(74, 159)(75, 147)(76, 148)(77, 152)(78, 151)(79, 156)(80, 155)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.66 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1 * B^-1)^2, (A, B^-1), (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, B^4 * A^-1 * B * A^-4, B^-1 * A^2 * Z * B^2 * A^-3 * Z * A * B^-1 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 48, 88, 128, 8, 43, 83, 123)(4, 47, 87, 127, 7, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 49, 89, 129, 9, 46, 86, 126)(11, 59, 99, 139, 19, 51, 91, 131)(12, 57, 97, 137, 17, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 56, 96, 136, 16, 54, 94, 134)(15, 58, 98, 138, 18, 55, 95, 135)(21, 67, 107, 147, 27, 61, 101, 141)(22, 68, 108, 148, 28, 62, 102, 142)(23, 65, 105, 145, 25, 63, 103, 143)(24, 66, 106, 146, 26, 64, 104, 144)(29, 75, 115, 155, 35, 69, 109, 149)(30, 76, 116, 156, 36, 70, 110, 150)(31, 73, 113, 153, 33, 71, 111, 151)(32, 74, 114, 154, 34, 72, 112, 152)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 91)(4, 92)(5, 81)(6, 93)(7, 96)(8, 97)(9, 82)(10, 98)(11, 101)(12, 86)(13, 102)(14, 85)(15, 84)(16, 105)(17, 90)(18, 106)(19, 89)(20, 88)(21, 109)(22, 110)(23, 95)(24, 94)(25, 113)(26, 114)(27, 100)(28, 99)(29, 117)(30, 118)(31, 104)(32, 103)(33, 119)(34, 120)(35, 108)(36, 107)(37, 112)(38, 111)(39, 116)(40, 115)(41, 126)(42, 130)(43, 133)(44, 121)(45, 132)(46, 131)(47, 138)(48, 122)(49, 137)(50, 136)(51, 142)(52, 123)(53, 141)(54, 124)(55, 125)(56, 146)(57, 127)(58, 145)(59, 128)(60, 129)(61, 150)(62, 149)(63, 134)(64, 135)(65, 154)(66, 153)(67, 139)(68, 140)(69, 158)(70, 157)(71, 143)(72, 144)(73, 160)(74, 159)(75, 147)(76, 148)(77, 151)(78, 152)(79, 155)(80, 156)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.67 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D40 (small group id <40, 6>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, S * B * S * A, (S * Z)^2, B * Z * B * A * Z * A, B * Z * B * Z * B * Z * B * Z * A * Z * B * Z * B * Z * B * Z * B * Z * B * Z ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 51, 91, 131, 11, 48, 88, 128)(13, 57, 97, 137, 17, 53, 93, 133)(14, 58, 98, 138, 18, 54, 94, 134)(15, 59, 99, 139, 19, 55, 95, 135)(16, 60, 100, 140, 20, 56, 96, 136)(21, 65, 105, 145, 25, 61, 101, 141)(22, 66, 106, 146, 26, 62, 102, 142)(23, 67, 107, 147, 27, 63, 103, 143)(24, 68, 108, 148, 28, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 85)(3, 81)(4, 88)(5, 82)(6, 91)(7, 93)(8, 84)(9, 94)(10, 95)(11, 86)(12, 96)(13, 87)(14, 89)(15, 90)(16, 92)(17, 101)(18, 102)(19, 103)(20, 104)(21, 97)(22, 98)(23, 99)(24, 100)(25, 109)(26, 110)(27, 111)(28, 112)(29, 105)(30, 106)(31, 107)(32, 108)(33, 117)(34, 118)(35, 119)(36, 120)(37, 113)(38, 114)(39, 115)(40, 116)(41, 124)(42, 126)(43, 128)(44, 121)(45, 131)(46, 122)(47, 134)(48, 123)(49, 133)(50, 136)(51, 125)(52, 135)(53, 129)(54, 127)(55, 132)(56, 130)(57, 142)(58, 141)(59, 144)(60, 143)(61, 138)(62, 137)(63, 140)(64, 139)(65, 150)(66, 149)(67, 152)(68, 151)(69, 146)(70, 145)(71, 148)(72, 147)(73, 158)(74, 157)(75, 160)(76, 159)(77, 154)(78, 153)(79, 156)(80, 155)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.68 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, S * A * S * B, (S * Z)^2, A^4, (A^-1 * Z * A^-1)^2, A^-1 * Z * A^-1 * Z * A * Z * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 51, 91, 131, 11, 48, 88, 128)(13, 57, 97, 137, 17, 53, 93, 133)(14, 58, 98, 138, 18, 54, 94, 134)(15, 59, 99, 139, 19, 55, 95, 135)(16, 60, 100, 140, 20, 56, 96, 136)(21, 65, 105, 145, 25, 61, 101, 141)(22, 66, 106, 146, 26, 62, 102, 142)(23, 67, 107, 147, 27, 63, 103, 143)(24, 68, 108, 148, 28, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 91)(6, 82)(7, 93)(8, 84)(9, 94)(10, 95)(11, 86)(12, 96)(13, 89)(14, 87)(15, 92)(16, 90)(17, 101)(18, 102)(19, 103)(20, 104)(21, 98)(22, 97)(23, 100)(24, 99)(25, 109)(26, 110)(27, 111)(28, 112)(29, 106)(30, 105)(31, 108)(32, 107)(33, 117)(34, 118)(35, 119)(36, 120)(37, 114)(38, 113)(39, 116)(40, 115)(41, 124)(42, 126)(43, 121)(44, 128)(45, 122)(46, 131)(47, 134)(48, 123)(49, 133)(50, 136)(51, 125)(52, 135)(53, 127)(54, 129)(55, 130)(56, 132)(57, 142)(58, 141)(59, 144)(60, 143)(61, 137)(62, 138)(63, 139)(64, 140)(65, 150)(66, 149)(67, 152)(68, 151)(69, 145)(70, 146)(71, 147)(72, 148)(73, 158)(74, 157)(75, 160)(76, 159)(77, 153)(78, 154)(79, 155)(80, 156)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.69 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-2 * A^-2, (A^-1 * B^-1)^2, (A, B^-1), (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, (Z * A^-2)^2, B^5 * A^-1 * B * A^-3 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 48, 88, 128, 8, 43, 83, 123)(4, 47, 87, 127, 7, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 49, 89, 129, 9, 46, 86, 126)(11, 59, 99, 139, 19, 51, 91, 131)(12, 57, 97, 137, 17, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 56, 96, 136, 16, 54, 94, 134)(15, 58, 98, 138, 18, 55, 95, 135)(21, 67, 107, 147, 27, 61, 101, 141)(22, 68, 108, 148, 28, 62, 102, 142)(23, 65, 105, 145, 25, 63, 103, 143)(24, 66, 106, 146, 26, 64, 104, 144)(29, 75, 115, 155, 35, 69, 109, 149)(30, 76, 116, 156, 36, 70, 110, 150)(31, 73, 113, 153, 33, 71, 111, 151)(32, 74, 114, 154, 34, 72, 112, 152)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 91)(4, 92)(5, 81)(6, 93)(7, 96)(8, 97)(9, 82)(10, 98)(11, 101)(12, 86)(13, 102)(14, 85)(15, 84)(16, 105)(17, 90)(18, 106)(19, 89)(20, 88)(21, 109)(22, 110)(23, 95)(24, 94)(25, 113)(26, 114)(27, 100)(28, 99)(29, 117)(30, 118)(31, 104)(32, 103)(33, 119)(34, 120)(35, 108)(36, 107)(37, 111)(38, 112)(39, 115)(40, 116)(41, 126)(42, 130)(43, 133)(44, 121)(45, 132)(46, 131)(47, 138)(48, 122)(49, 137)(50, 136)(51, 142)(52, 123)(53, 141)(54, 124)(55, 125)(56, 146)(57, 127)(58, 145)(59, 128)(60, 129)(61, 150)(62, 149)(63, 134)(64, 135)(65, 154)(66, 153)(67, 139)(68, 140)(69, 158)(70, 157)(71, 143)(72, 144)(73, 160)(74, 159)(75, 147)(76, 148)(77, 152)(78, 151)(79, 156)(80, 155)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.70 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D40 (small group id <40, 6>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^2 * B, (A^-1 * B^-1)^2, (A, B^-1), (B * Z)^2, S * A * S * B, (A * Z)^2, (S * Z)^2, (Z * B * A^-1)^2, B^2 * A^-1 * B^3 * A^-4 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 49, 89, 129, 9, 43, 83, 123)(4, 50, 90, 130, 10, 44, 84, 124)(5, 47, 87, 127, 7, 45, 85, 125)(6, 48, 88, 128, 8, 46, 86, 126)(11, 59, 99, 139, 19, 51, 91, 131)(12, 57, 97, 137, 17, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 56, 96, 136, 16, 54, 94, 134)(15, 58, 98, 138, 18, 55, 95, 135)(21, 68, 108, 148, 28, 61, 101, 141)(22, 67, 107, 147, 27, 62, 102, 142)(23, 66, 106, 146, 26, 63, 103, 143)(24, 65, 105, 145, 25, 64, 104, 144)(29, 75, 115, 155, 35, 69, 109, 149)(30, 76, 116, 156, 36, 70, 110, 150)(31, 73, 113, 153, 33, 71, 111, 151)(32, 74, 114, 154, 34, 72, 112, 152)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 91)(4, 92)(5, 81)(6, 93)(7, 96)(8, 97)(9, 82)(10, 98)(11, 101)(12, 86)(13, 102)(14, 85)(15, 84)(16, 105)(17, 90)(18, 106)(19, 89)(20, 88)(21, 109)(22, 110)(23, 95)(24, 94)(25, 113)(26, 114)(27, 100)(28, 99)(29, 117)(30, 118)(31, 104)(32, 103)(33, 119)(34, 120)(35, 108)(36, 107)(37, 112)(38, 111)(39, 116)(40, 115)(41, 126)(42, 130)(43, 133)(44, 121)(45, 132)(46, 131)(47, 138)(48, 122)(49, 137)(50, 136)(51, 142)(52, 123)(53, 141)(54, 124)(55, 125)(56, 146)(57, 127)(58, 145)(59, 128)(60, 129)(61, 150)(62, 149)(63, 134)(64, 135)(65, 154)(66, 153)(67, 139)(68, 140)(69, 158)(70, 157)(71, 143)(72, 144)(73, 160)(74, 159)(75, 147)(76, 148)(77, 151)(78, 152)(79, 155)(80, 156)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.71 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^20 ]
Map::
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 45, 85, 125, 5, 43, 83, 123)(4, 46, 86, 126, 6, 44, 84, 124)(7, 49, 89, 129, 9, 47, 87, 127)(8, 50, 90, 130, 10, 48, 88, 128)(11, 53, 93, 133, 13, 51, 91, 131)(12, 54, 94, 134, 14, 52, 92, 132)(15, 56, 96, 136, 16, 55, 95, 135)(17, 63, 103, 143, 23, 57, 97, 137)(18, 65, 105, 145, 25, 58, 98, 138)(19, 67, 107, 147, 27, 59, 99, 139)(20, 69, 109, 149, 29, 60, 100, 140)(21, 71, 111, 151, 31, 61, 101, 141)(22, 73, 113, 153, 33, 62, 102, 142)(24, 75, 115, 155, 35, 64, 104, 144)(26, 77, 117, 157, 37, 66, 106, 146)(28, 79, 119, 159, 39, 68, 108, 148)(30, 80, 120, 160, 40, 70, 110, 150)(32, 78, 118, 158, 38, 72, 112, 152)(34, 76, 116, 156, 36, 74, 114, 154)
	L = (1, 83)(2, 84)(3, 81)(4, 82)(5, 87)(6, 88)(7, 85)(8, 86)(9, 91)(10, 92)(11, 89)(12, 90)(13, 95)(14, 103)(15, 93)(16, 105)(17, 107)(18, 109)(19, 111)(20, 113)(21, 115)(22, 117)(23, 94)(24, 119)(25, 96)(26, 120)(27, 97)(28, 118)(29, 98)(30, 116)(31, 99)(32, 114)(33, 100)(34, 112)(35, 101)(36, 110)(37, 102)(38, 108)(39, 104)(40, 106)(41, 123)(42, 124)(43, 121)(44, 122)(45, 127)(46, 128)(47, 125)(48, 126)(49, 131)(50, 132)(51, 129)(52, 130)(53, 135)(54, 143)(55, 133)(56, 145)(57, 147)(58, 149)(59, 151)(60, 153)(61, 155)(62, 157)(63, 134)(64, 159)(65, 136)(66, 160)(67, 137)(68, 158)(69, 138)(70, 156)(71, 139)(72, 154)(73, 140)(74, 152)(75, 141)(76, 150)(77, 142)(78, 148)(79, 144)(80, 146)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.72 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, A * Z * B^-1 * Z, B^10 * A^-10 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 46, 86, 126, 6, 43, 83, 123)(4, 45, 85, 125, 5, 44, 84, 124)(7, 50, 90, 130, 10, 47, 87, 127)(8, 49, 89, 129, 9, 48, 88, 128)(11, 54, 94, 134, 14, 51, 91, 131)(12, 53, 93, 133, 13, 52, 92, 132)(15, 58, 98, 138, 18, 55, 95, 135)(16, 57, 97, 137, 17, 56, 96, 136)(19, 62, 102, 142, 22, 59, 99, 139)(20, 61, 101, 141, 21, 60, 100, 140)(23, 66, 106, 146, 26, 63, 103, 143)(24, 65, 105, 145, 25, 64, 104, 144)(27, 70, 110, 150, 30, 67, 107, 147)(28, 69, 109, 149, 29, 68, 108, 148)(31, 74, 114, 154, 34, 71, 111, 151)(32, 73, 113, 153, 33, 72, 112, 152)(35, 78, 118, 158, 38, 75, 115, 155)(36, 77, 117, 157, 37, 76, 116, 156)(39, 80, 120, 160, 40, 79, 119, 159)
	L = (1, 83)(2, 85)(3, 87)(4, 81)(5, 89)(6, 82)(7, 91)(8, 84)(9, 93)(10, 86)(11, 95)(12, 88)(13, 97)(14, 90)(15, 99)(16, 92)(17, 101)(18, 94)(19, 103)(20, 96)(21, 105)(22, 98)(23, 107)(24, 100)(25, 109)(26, 102)(27, 111)(28, 104)(29, 113)(30, 106)(31, 115)(32, 108)(33, 117)(34, 110)(35, 119)(36, 112)(37, 120)(38, 114)(39, 116)(40, 118)(41, 123)(42, 125)(43, 127)(44, 121)(45, 129)(46, 122)(47, 131)(48, 124)(49, 133)(50, 126)(51, 135)(52, 128)(53, 137)(54, 130)(55, 139)(56, 132)(57, 141)(58, 134)(59, 143)(60, 136)(61, 145)(62, 138)(63, 147)(64, 140)(65, 149)(66, 142)(67, 151)(68, 144)(69, 153)(70, 146)(71, 155)(72, 148)(73, 157)(74, 150)(75, 159)(76, 152)(77, 160)(78, 154)(79, 156)(80, 158)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.73 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (B * A^-1)^2, S * B * S * A, (S * Z)^2, B * Z * B * A^-1 * Z * A^-1, A^2 * Z * A^-2 * Z, B * Z * B * Z * A * Z * A * Z * A * Z * B^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 51, 91, 131, 11, 48, 88, 128)(13, 57, 97, 137, 17, 53, 93, 133)(14, 58, 98, 138, 18, 54, 94, 134)(15, 59, 99, 139, 19, 55, 95, 135)(16, 60, 100, 140, 20, 56, 96, 136)(21, 65, 105, 145, 25, 61, 101, 141)(22, 66, 106, 146, 26, 62, 102, 142)(23, 67, 107, 147, 27, 63, 103, 143)(24, 68, 108, 148, 28, 64, 104, 144)(29, 73, 113, 153, 33, 69, 109, 149)(30, 74, 114, 154, 34, 70, 110, 150)(31, 75, 115, 155, 35, 71, 111, 151)(32, 76, 116, 156, 36, 72, 112, 152)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 91)(6, 82)(7, 93)(8, 84)(9, 94)(10, 95)(11, 86)(12, 96)(13, 89)(14, 87)(15, 92)(16, 90)(17, 101)(18, 102)(19, 103)(20, 104)(21, 98)(22, 97)(23, 100)(24, 99)(25, 109)(26, 110)(27, 111)(28, 112)(29, 106)(30, 105)(31, 108)(32, 107)(33, 117)(34, 118)(35, 119)(36, 120)(37, 114)(38, 113)(39, 116)(40, 115)(41, 123)(42, 125)(43, 128)(44, 121)(45, 131)(46, 122)(47, 133)(48, 124)(49, 134)(50, 135)(51, 126)(52, 136)(53, 129)(54, 127)(55, 132)(56, 130)(57, 141)(58, 142)(59, 143)(60, 144)(61, 138)(62, 137)(63, 140)(64, 139)(65, 149)(66, 150)(67, 151)(68, 152)(69, 146)(70, 145)(71, 148)(72, 147)(73, 157)(74, 158)(75, 159)(76, 160)(77, 154)(78, 153)(79, 156)(80, 155)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.74 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * B * S * A, (B * Z * A^-1)^2, B * Z * B * Z * A^-1 * Z * A^-1 * Z, A^2 * B^-1 * A * B^-3 * A * B^-1 * A ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 51, 91, 131, 11, 45, 85, 125)(6, 53, 93, 133, 13, 46, 86, 126)(8, 54, 94, 134, 14, 48, 88, 128)(10, 52, 92, 132, 12, 50, 90, 130)(15, 60, 100, 140, 20, 55, 95, 135)(16, 63, 103, 143, 23, 56, 96, 136)(17, 65, 105, 145, 25, 57, 97, 137)(18, 61, 101, 141, 21, 58, 98, 138)(19, 67, 107, 147, 27, 59, 99, 139)(22, 69, 109, 149, 29, 62, 102, 142)(24, 71, 111, 151, 31, 64, 104, 144)(26, 72, 112, 152, 32, 66, 106, 146)(28, 70, 110, 150, 30, 68, 108, 148)(33, 78, 118, 158, 38, 73, 113, 153)(34, 79, 119, 159, 39, 74, 114, 154)(35, 76, 116, 156, 36, 75, 115, 155)(37, 80, 120, 160, 40, 77, 117, 157)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 98)(10, 84)(11, 100)(12, 102)(13, 103)(14, 86)(15, 89)(16, 87)(17, 106)(18, 107)(19, 90)(20, 93)(21, 91)(22, 110)(23, 111)(24, 94)(25, 96)(26, 114)(27, 115)(28, 99)(29, 101)(30, 117)(31, 118)(32, 104)(33, 105)(34, 108)(35, 119)(36, 109)(37, 112)(38, 120)(39, 113)(40, 116)(41, 123)(42, 125)(43, 128)(44, 121)(45, 132)(46, 122)(47, 135)(48, 137)(49, 138)(50, 124)(51, 140)(52, 142)(53, 143)(54, 126)(55, 129)(56, 127)(57, 146)(58, 147)(59, 130)(60, 133)(61, 131)(62, 150)(63, 151)(64, 134)(65, 136)(66, 154)(67, 155)(68, 139)(69, 141)(70, 157)(71, 158)(72, 144)(73, 145)(74, 148)(75, 159)(76, 149)(77, 152)(78, 160)(79, 153)(80, 156)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.75 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = C10 x D8 (small group id <80, 46>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, B * Z * B^-1 * A * Z * A^-1, A * B^-1 * Z * B * A^-1 * Z, A * Z * B * Z * B^-1 * Z * A^-1 * Z, B * Z * A * Z * A^-1 * Z * B^-1 * Z, B^5 * A^-5 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 51, 91, 131, 11, 45, 85, 125)(6, 53, 93, 133, 13, 46, 86, 126)(8, 52, 92, 132, 12, 48, 88, 128)(10, 54, 94, 134, 14, 50, 90, 130)(15, 60, 100, 140, 20, 55, 95, 135)(16, 61, 101, 141, 21, 56, 96, 136)(17, 65, 105, 145, 25, 57, 97, 137)(18, 63, 103, 143, 23, 58, 98, 138)(19, 67, 107, 147, 27, 59, 99, 139)(22, 69, 109, 149, 29, 62, 102, 142)(24, 71, 111, 151, 31, 64, 104, 144)(26, 70, 110, 150, 30, 66, 106, 146)(28, 72, 112, 152, 32, 68, 108, 148)(33, 76, 116, 156, 36, 73, 113, 153)(34, 79, 119, 159, 39, 74, 114, 154)(35, 78, 118, 158, 38, 75, 115, 155)(37, 80, 120, 160, 40, 77, 117, 157)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 96)(10, 84)(11, 100)(12, 102)(13, 101)(14, 86)(15, 105)(16, 87)(17, 106)(18, 89)(19, 90)(20, 109)(21, 91)(22, 110)(23, 93)(24, 94)(25, 113)(26, 114)(27, 98)(28, 99)(29, 116)(30, 117)(31, 103)(32, 104)(33, 119)(34, 108)(35, 107)(36, 120)(37, 112)(38, 111)(39, 115)(40, 118)(41, 123)(42, 125)(43, 128)(44, 121)(45, 132)(46, 122)(47, 135)(48, 137)(49, 136)(50, 124)(51, 140)(52, 142)(53, 141)(54, 126)(55, 145)(56, 127)(57, 146)(58, 129)(59, 130)(60, 149)(61, 131)(62, 150)(63, 133)(64, 134)(65, 153)(66, 154)(67, 138)(68, 139)(69, 156)(70, 157)(71, 143)(72, 144)(73, 159)(74, 148)(75, 147)(76, 160)(77, 152)(78, 151)(79, 155)(80, 158)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.76 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = C10 x D8 (small group id <80, 46>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, S * A * S * B, (S * Z)^2, A^2 * Z * A^-2 * Z, B^2 * Z * B^-2 * Z, B * Z * A * B^-1 * Z * A^-1, (B^-1 * Z * B * Z)^2, A * Z * A * Z * B * Z * A^-1 * Z, A^5 * Z * B^-5 * Z ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 51, 91, 131, 11, 45, 85, 125)(6, 53, 93, 133, 13, 46, 86, 126)(8, 52, 92, 132, 12, 48, 88, 128)(10, 54, 94, 134, 14, 50, 90, 130)(15, 60, 100, 140, 20, 55, 95, 135)(16, 61, 101, 141, 21, 56, 96, 136)(17, 65, 105, 145, 25, 57, 97, 137)(18, 63, 103, 143, 23, 58, 98, 138)(19, 67, 107, 147, 27, 59, 99, 139)(22, 69, 109, 149, 29, 62, 102, 142)(24, 71, 111, 151, 31, 64, 104, 144)(26, 70, 110, 150, 30, 66, 106, 146)(28, 72, 112, 152, 32, 68, 108, 148)(33, 77, 117, 157, 37, 73, 113, 153)(34, 80, 120, 160, 40, 74, 114, 154)(35, 79, 119, 159, 39, 75, 115, 155)(36, 78, 118, 158, 38, 76, 116, 156)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 92)(6, 82)(7, 95)(8, 97)(9, 96)(10, 84)(11, 100)(12, 102)(13, 101)(14, 86)(15, 105)(16, 87)(17, 106)(18, 89)(19, 90)(20, 109)(21, 91)(22, 110)(23, 93)(24, 94)(25, 113)(26, 114)(27, 98)(28, 99)(29, 117)(30, 118)(31, 103)(32, 104)(33, 120)(34, 119)(35, 107)(36, 108)(37, 116)(38, 115)(39, 111)(40, 112)(41, 123)(42, 125)(43, 128)(44, 121)(45, 132)(46, 122)(47, 135)(48, 137)(49, 136)(50, 124)(51, 140)(52, 142)(53, 141)(54, 126)(55, 145)(56, 127)(57, 146)(58, 129)(59, 130)(60, 149)(61, 131)(62, 150)(63, 133)(64, 134)(65, 153)(66, 154)(67, 138)(68, 139)(69, 157)(70, 158)(71, 143)(72, 144)(73, 160)(74, 159)(75, 147)(76, 148)(77, 156)(78, 155)(79, 151)(80, 152)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.77 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B^2, (A^-1, B^-1), B^4, (S * Z)^2, S * A * S * B, B^-1 * Z * B^-1 * A^-1 * Z * A^-1, Z * B^-1 * Z * A^-1 * B * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 51, 91, 131, 11, 43, 83, 123)(4, 55, 95, 135, 15, 44, 84, 124)(5, 56, 96, 136, 16, 45, 85, 125)(6, 57, 97, 137, 17, 46, 86, 126)(7, 58, 98, 138, 18, 47, 87, 127)(8, 62, 102, 142, 22, 48, 88, 128)(9, 63, 103, 143, 23, 49, 89, 129)(10, 64, 104, 144, 24, 50, 90, 130)(12, 69, 109, 149, 29, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 70, 110, 150, 30, 54, 94, 134)(19, 74, 114, 154, 34, 59, 99, 139)(21, 71, 111, 151, 31, 61, 101, 141)(25, 75, 115, 155, 35, 65, 105, 145)(26, 73, 113, 153, 33, 66, 106, 146)(27, 72, 112, 152, 32, 67, 107, 147)(28, 76, 116, 156, 36, 68, 108, 148)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 92)(4, 93)(5, 81)(6, 94)(7, 99)(8, 100)(9, 82)(10, 101)(11, 105)(12, 85)(13, 86)(14, 84)(15, 111)(16, 114)(17, 108)(18, 107)(19, 89)(20, 90)(21, 88)(22, 110)(23, 109)(24, 106)(25, 98)(26, 97)(27, 91)(28, 104)(29, 117)(30, 118)(31, 119)(32, 96)(33, 95)(34, 120)(35, 103)(36, 102)(37, 115)(38, 116)(39, 113)(40, 112)(41, 126)(42, 130)(43, 134)(44, 121)(45, 133)(46, 132)(47, 141)(48, 122)(49, 140)(50, 139)(51, 148)(52, 124)(53, 123)(54, 125)(55, 154)(56, 151)(57, 145)(58, 146)(59, 128)(60, 127)(61, 129)(62, 149)(63, 150)(64, 147)(65, 144)(66, 131)(67, 137)(68, 138)(69, 158)(70, 157)(71, 160)(72, 135)(73, 136)(74, 159)(75, 142)(76, 143)(77, 156)(78, 155)(79, 152)(80, 153)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.78
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.78 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^2, A^4, B^4, (S * Z)^2, (B^-1, A), S * A * S * B, B^-1 * Z * B * A * Z * A^-1, Z * A^-1 * Z * A^-2 * Z * A, Z * B^-1 * Z * B * Z * B^2, (B * Z * A^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 51, 91, 131, 11, 43, 83, 123)(4, 55, 95, 135, 15, 44, 84, 124)(5, 56, 96, 136, 16, 45, 85, 125)(6, 57, 97, 137, 17, 46, 86, 126)(7, 58, 98, 138, 18, 47, 87, 127)(8, 62, 102, 142, 22, 48, 88, 128)(9, 63, 103, 143, 23, 49, 89, 129)(10, 64, 104, 144, 24, 50, 90, 130)(12, 69, 109, 149, 29, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 70, 110, 150, 30, 54, 94, 134)(19, 67, 107, 147, 27, 59, 99, 139)(21, 66, 106, 146, 26, 61, 101, 141)(25, 74, 114, 154, 34, 65, 105, 145)(28, 71, 111, 151, 31, 68, 108, 148)(32, 75, 115, 155, 35, 72, 112, 152)(33, 76, 116, 156, 36, 73, 113, 153)(37, 80, 120, 160, 40, 77, 117, 157)(38, 79, 119, 159, 39, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 92)(4, 93)(5, 81)(6, 94)(7, 99)(8, 100)(9, 82)(10, 101)(11, 105)(12, 85)(13, 86)(14, 84)(15, 111)(16, 114)(17, 108)(18, 115)(19, 89)(20, 90)(21, 88)(22, 113)(23, 112)(24, 116)(25, 117)(26, 97)(27, 91)(28, 118)(29, 98)(30, 104)(31, 102)(32, 96)(33, 95)(34, 103)(35, 120)(36, 119)(37, 107)(38, 106)(39, 110)(40, 109)(41, 126)(42, 130)(43, 134)(44, 121)(45, 133)(46, 132)(47, 141)(48, 122)(49, 140)(50, 139)(51, 148)(52, 124)(53, 123)(54, 125)(55, 154)(56, 151)(57, 145)(58, 156)(59, 128)(60, 127)(61, 129)(62, 152)(63, 153)(64, 155)(65, 158)(66, 131)(67, 137)(68, 157)(69, 144)(70, 138)(71, 143)(72, 135)(73, 136)(74, 142)(75, 159)(76, 160)(77, 146)(78, 147)(79, 149)(80, 150)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.77
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.79 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-2 * A^2, B^2 * A^2, (S * Z)^2, S * A * S * B, (B^-1, A), A^4, (Z * B * A)^2, A^-1 * Z * A * B * Z * B^-1, B^-1 * Z * A^-1 * Z * A * Z * A, Z * B^-1 * Z * A^-1 * B * Z * B ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 51, 91, 131, 11, 43, 83, 123)(4, 55, 95, 135, 15, 44, 84, 124)(5, 56, 96, 136, 16, 45, 85, 125)(6, 57, 97, 137, 17, 46, 86, 126)(7, 58, 98, 138, 18, 47, 87, 127)(8, 62, 102, 142, 22, 48, 88, 128)(9, 63, 103, 143, 23, 49, 89, 129)(10, 64, 104, 144, 24, 50, 90, 130)(12, 69, 109, 149, 29, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 70, 110, 150, 30, 54, 94, 134)(19, 71, 111, 151, 31, 59, 99, 139)(21, 74, 114, 154, 34, 61, 101, 141)(25, 75, 115, 155, 35, 65, 105, 145)(26, 72, 112, 152, 32, 66, 106, 146)(27, 73, 113, 153, 33, 67, 107, 147)(28, 76, 116, 156, 36, 68, 108, 148)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 92)(4, 93)(5, 81)(6, 94)(7, 99)(8, 100)(9, 82)(10, 101)(11, 105)(12, 85)(13, 86)(14, 84)(15, 111)(16, 114)(17, 108)(18, 106)(19, 89)(20, 90)(21, 88)(22, 109)(23, 110)(24, 107)(25, 104)(26, 97)(27, 91)(28, 98)(29, 117)(30, 118)(31, 119)(32, 96)(33, 95)(34, 120)(35, 103)(36, 102)(37, 116)(38, 115)(39, 113)(40, 112)(41, 126)(42, 130)(43, 134)(44, 121)(45, 133)(46, 132)(47, 141)(48, 122)(49, 140)(50, 139)(51, 148)(52, 124)(53, 123)(54, 125)(55, 154)(56, 151)(57, 145)(58, 147)(59, 128)(60, 127)(61, 129)(62, 150)(63, 149)(64, 146)(65, 138)(66, 131)(67, 137)(68, 144)(69, 158)(70, 157)(71, 160)(72, 135)(73, 136)(74, 159)(75, 142)(76, 143)(77, 155)(78, 156)(79, 152)(80, 153)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.80
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.80 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B^-2, S * A * S * B, (B^-1, A^-1), B^4, A^4, (S * Z)^2, (Z * A^-1 * B^-1)^2, (B * Z * A)^2, Z * B * Z * B^-1 * A * Z * B^-1 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 51, 91, 131, 11, 43, 83, 123)(4, 55, 95, 135, 15, 44, 84, 124)(5, 56, 96, 136, 16, 45, 85, 125)(6, 57, 97, 137, 17, 46, 86, 126)(7, 58, 98, 138, 18, 47, 87, 127)(8, 62, 102, 142, 22, 48, 88, 128)(9, 63, 103, 143, 23, 49, 89, 129)(10, 64, 104, 144, 24, 50, 90, 130)(12, 69, 109, 149, 29, 52, 92, 132)(13, 60, 100, 140, 20, 53, 93, 133)(14, 70, 110, 150, 30, 54, 94, 134)(19, 66, 106, 146, 26, 59, 99, 139)(21, 67, 107, 147, 27, 61, 101, 141)(25, 71, 111, 151, 31, 65, 105, 145)(28, 74, 114, 154, 34, 68, 108, 148)(32, 75, 115, 155, 35, 72, 112, 152)(33, 76, 116, 156, 36, 73, 113, 153)(37, 79, 119, 159, 39, 77, 117, 157)(38, 80, 120, 160, 40, 78, 118, 158)
	L = (1, 83)(2, 87)(3, 92)(4, 93)(5, 81)(6, 94)(7, 99)(8, 100)(9, 82)(10, 101)(11, 105)(12, 85)(13, 86)(14, 84)(15, 111)(16, 114)(17, 108)(18, 115)(19, 89)(20, 90)(21, 88)(22, 112)(23, 113)(24, 116)(25, 117)(26, 97)(27, 91)(28, 118)(29, 104)(30, 98)(31, 103)(32, 96)(33, 95)(34, 102)(35, 119)(36, 120)(37, 107)(38, 106)(39, 110)(40, 109)(41, 126)(42, 130)(43, 134)(44, 121)(45, 133)(46, 132)(47, 141)(48, 122)(49, 140)(50, 139)(51, 148)(52, 124)(53, 123)(54, 125)(55, 154)(56, 151)(57, 145)(58, 156)(59, 128)(60, 127)(61, 129)(62, 153)(63, 152)(64, 155)(65, 158)(66, 131)(67, 137)(68, 157)(69, 138)(70, 144)(71, 142)(72, 135)(73, 136)(74, 143)(75, 160)(76, 159)(77, 146)(78, 147)(79, 149)(80, 150)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.79
Transitivity :: VT+
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.81 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, (S * Z)^2, A^-3 * B, S * B * S * A, A * Z * A * Z * B^-1 * Z * B^-1 * Z, Z * A * Z * A * Z * B^-1 * Z * A, B * Z * B * A^-1 * Z * A^-2 * Z * B^-1 * Z, B * Z * A * Z * A^-1 * Z * B^-1 * A * Z * A^-1, A * Z * B * Z * A^-1 * Z * B^-1 * Z * A * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 55, 95, 135, 15, 48, 88, 128)(11, 60, 100, 140, 20, 51, 91, 131)(13, 62, 102, 142, 22, 53, 93, 133)(14, 64, 104, 144, 24, 54, 94, 134)(16, 67, 107, 147, 27, 56, 96, 136)(17, 58, 98, 138, 18, 57, 97, 137)(19, 70, 110, 150, 30, 59, 99, 139)(21, 73, 113, 153, 33, 61, 101, 141)(23, 75, 115, 155, 35, 63, 103, 143)(25, 71, 111, 151, 31, 65, 105, 145)(26, 76, 116, 156, 36, 66, 106, 146)(28, 74, 114, 154, 34, 68, 108, 148)(29, 77, 117, 157, 37, 69, 109, 149)(32, 78, 118, 158, 38, 72, 112, 152)(39, 80, 120, 160, 40, 79, 119, 159)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 91)(6, 82)(7, 93)(8, 84)(9, 96)(10, 98)(11, 86)(12, 101)(13, 103)(14, 87)(15, 105)(16, 108)(17, 89)(18, 109)(19, 90)(20, 111)(21, 114)(22, 92)(23, 94)(24, 112)(25, 110)(26, 95)(27, 116)(28, 97)(29, 99)(30, 106)(31, 104)(32, 100)(33, 118)(34, 102)(35, 107)(36, 119)(37, 113)(38, 120)(39, 115)(40, 117)(41, 123)(42, 125)(43, 128)(44, 121)(45, 131)(46, 122)(47, 133)(48, 124)(49, 136)(50, 138)(51, 126)(52, 141)(53, 143)(54, 127)(55, 145)(56, 148)(57, 129)(58, 149)(59, 130)(60, 151)(61, 154)(62, 132)(63, 134)(64, 152)(65, 150)(66, 135)(67, 156)(68, 137)(69, 139)(70, 146)(71, 144)(72, 140)(73, 158)(74, 142)(75, 147)(76, 159)(77, 153)(78, 160)(79, 155)(80, 157)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.82
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.82 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C2 x C2 x (C5 : C4) (small group id <80, 50>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, A^2 * B^-1 * A, (S * Z)^2, S * B * S * A, Z * B * Z * A^-1 * Z * A^-1 * Z * A^-1, B * A^-1 * Z * B * Z * A * Z * A * B^-1 * Z, Z * A^2 * Z * A^-2 * Z * A^-1 * Z * A ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 41, 81, 121)(3, 47, 87, 127, 7, 43, 83, 123)(4, 49, 89, 129, 9, 44, 84, 124)(5, 50, 90, 130, 10, 45, 85, 125)(6, 52, 92, 132, 12, 46, 86, 126)(8, 55, 95, 135, 15, 48, 88, 128)(11, 60, 100, 140, 20, 51, 91, 131)(13, 62, 102, 142, 22, 53, 93, 133)(14, 64, 104, 144, 24, 54, 94, 134)(16, 67, 107, 147, 27, 56, 96, 136)(17, 58, 98, 138, 18, 57, 97, 137)(19, 70, 110, 150, 30, 59, 99, 139)(21, 73, 113, 153, 33, 61, 101, 141)(23, 69, 109, 149, 29, 63, 103, 143)(25, 76, 116, 156, 36, 65, 105, 145)(26, 72, 112, 152, 32, 66, 106, 146)(28, 75, 115, 155, 35, 68, 108, 148)(31, 78, 118, 158, 38, 71, 111, 151)(34, 77, 117, 157, 37, 74, 114, 154)(39, 80, 120, 160, 40, 79, 119, 159)
	L = (1, 83)(2, 85)(3, 88)(4, 81)(5, 91)(6, 82)(7, 93)(8, 84)(9, 96)(10, 98)(11, 86)(12, 101)(13, 103)(14, 87)(15, 105)(16, 108)(17, 89)(18, 109)(19, 90)(20, 111)(21, 114)(22, 92)(23, 94)(24, 115)(25, 113)(26, 95)(27, 112)(28, 97)(29, 99)(30, 117)(31, 107)(32, 100)(33, 106)(34, 102)(35, 119)(36, 104)(37, 120)(38, 110)(39, 116)(40, 118)(41, 123)(42, 125)(43, 128)(44, 121)(45, 131)(46, 122)(47, 133)(48, 124)(49, 136)(50, 138)(51, 126)(52, 141)(53, 143)(54, 127)(55, 145)(56, 148)(57, 129)(58, 149)(59, 130)(60, 151)(61, 154)(62, 132)(63, 134)(64, 155)(65, 153)(66, 135)(67, 152)(68, 137)(69, 139)(70, 157)(71, 147)(72, 140)(73, 146)(74, 142)(75, 159)(76, 144)(77, 160)(78, 150)(79, 156)(80, 158)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.81
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^7, (Y3^-1 * Y1^-1)^22, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 12, 34, 18, 40, 17, 39, 11, 33, 5, 27, 8, 30, 14, 36, 20, 42, 22, 44, 21, 43, 15, 37, 9, 31, 3, 25, 7, 29, 13, 35, 19, 41, 16, 38, 10, 32, 4, 26)(45, 67, 47, 69, 52, 74, 46, 68, 51, 73, 58, 80, 50, 72, 57, 79, 64, 86, 56, 78, 63, 85, 66, 88, 62, 84, 60, 82, 65, 87, 61, 83, 54, 76, 59, 81, 55, 77, 48, 70, 53, 75, 49, 71)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-7, (Y3 * Y2^-1)^22, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 12, 34, 18, 40, 16, 38, 10, 32, 3, 25, 7, 29, 13, 35, 19, 41, 22, 44, 21, 43, 15, 37, 9, 31, 5, 27, 8, 30, 14, 36, 20, 42, 17, 39, 11, 33, 4, 26)(45, 67, 47, 69, 53, 75, 48, 70, 54, 76, 59, 81, 55, 77, 60, 82, 65, 87, 61, 83, 62, 84, 66, 88, 64, 86, 56, 78, 63, 85, 58, 80, 50, 72, 57, 79, 52, 74, 46, 68, 51, 73, 49, 71)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|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, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y2^-2 * Y1^-4, Y2^4 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, (Y3^-1 * Y1^-1)^22, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 13, 35, 18, 40, 22, 44, 20, 42, 10, 32, 3, 25, 7, 29, 15, 37, 12, 34, 5, 27, 8, 30, 16, 38, 21, 43, 19, 41, 9, 31, 17, 39, 11, 33, 4, 26)(45, 67, 47, 69, 53, 75, 62, 84, 52, 74, 46, 68, 51, 73, 61, 83, 66, 88, 60, 82, 50, 72, 59, 81, 55, 77, 64, 86, 65, 87, 58, 80, 56, 78, 48, 70, 54, 76, 63, 85, 57, 79, 49, 71)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y1^-3, Y2^-3 * Y1^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^22, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 23, 2, 24, 6, 28, 14, 36, 9, 31, 17, 39, 22, 44, 20, 42, 12, 34, 5, 27, 8, 30, 16, 38, 10, 32, 3, 25, 7, 29, 15, 37, 21, 43, 19, 41, 13, 35, 18, 40, 11, 33, 4, 26)(45, 67, 47, 69, 53, 75, 63, 85, 56, 78, 48, 70, 54, 76, 58, 80, 65, 87, 64, 86, 55, 77, 60, 82, 50, 72, 59, 81, 66, 88, 62, 84, 52, 74, 46, 68, 51, 73, 61, 83, 57, 79, 49, 71)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-3, Y3 * Y1^-1 * Y3 * Y2^-1, (Y3^-1, Y2), (Y1^-1, Y3^-1), Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-3 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 16, 38, 4, 26, 10, 32, 15, 37, 3, 25, 9, 31, 19, 41, 22, 44, 14, 36, 20, 42, 21, 43, 13, 35, 6, 28, 11, 33, 18, 40, 7, 29, 12, 34, 17, 39, 5, 27)(45, 67, 47, 69, 57, 79, 49, 71, 59, 81, 65, 87, 61, 83, 54, 76, 64, 86, 56, 78, 48, 70, 58, 80, 51, 73, 60, 82, 66, 88, 62, 84, 52, 74, 63, 85, 55, 77, 46, 68, 53, 75, 50, 72)
	L = (1, 48)(2, 54)(3, 58)(4, 53)(5, 60)(6, 56)(7, 45)(8, 59)(9, 64)(10, 63)(11, 61)(12, 46)(13, 51)(14, 50)(15, 66)(16, 47)(17, 52)(18, 49)(19, 65)(20, 55)(21, 62)(22, 57)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.98
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y3 * Y2^2 * Y3, Y3 * Y2^2 * Y3, (Y2, Y1^-1), (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-3 * Y1 * Y2^-2, Y2 * Y3^-4 * Y1^-1, Y3^-1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3, (Y3 * Y2^-1)^22 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 4, 26, 9, 31, 15, 37, 19, 41, 22, 44, 14, 36, 13, 35, 3, 25, 8, 30, 12, 34, 17, 39, 6, 28, 10, 32, 16, 38, 20, 42, 21, 43, 11, 33, 18, 40, 7, 29, 5, 27)(45, 67, 47, 69, 55, 77, 63, 85, 54, 76, 46, 68, 52, 74, 62, 84, 66, 88, 60, 82, 48, 70, 56, 78, 51, 73, 58, 80, 64, 86, 53, 75, 61, 83, 49, 71, 57, 79, 65, 87, 59, 81, 50, 72)
	L = (1, 48)(2, 53)(3, 56)(4, 59)(5, 46)(6, 60)(7, 45)(8, 61)(9, 63)(10, 64)(11, 51)(12, 50)(13, 52)(14, 47)(15, 66)(16, 65)(17, 54)(18, 49)(19, 58)(20, 55)(21, 62)(22, 57)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.97
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y2^-1 * Y3^-2 * Y2^-1, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2^-2 * Y3^2 * Y2^-1 * Y1^-1, Y2^15 * Y1 * Y3^-1, (Y3 * Y2^-1)^22 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 7, 29, 10, 32, 11, 33, 19, 41, 22, 44, 17, 39, 18, 40, 6, 28, 9, 31, 12, 34, 13, 35, 3, 25, 8, 30, 14, 36, 20, 42, 21, 43, 15, 37, 16, 38, 4, 26, 5, 27)(45, 67, 47, 69, 55, 77, 65, 87, 62, 84, 49, 71, 57, 79, 54, 76, 64, 86, 61, 83, 48, 70, 56, 78, 51, 73, 58, 80, 66, 88, 60, 82, 53, 75, 46, 68, 52, 74, 63, 85, 59, 81, 50, 72)
	L = (1, 48)(2, 49)(3, 56)(4, 59)(5, 60)(6, 61)(7, 45)(8, 57)(9, 62)(10, 46)(11, 51)(12, 50)(13, 53)(14, 47)(15, 64)(16, 65)(17, 63)(18, 66)(19, 54)(20, 52)(21, 58)(22, 55)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.95
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^3, (Y2 * Y3)^2, (R * Y3)^2, (Y2, Y3^-1), (Y1^-1, Y2), (R * Y1)^2, (Y1^-1, Y3), (R * Y2)^2, Y3^-2 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1 * Y3^2 * Y1 * Y3, Y2 * Y1 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 6, 28, 11, 33, 16, 38, 17, 39, 20, 42, 7, 29, 12, 34, 21, 43, 14, 36, 22, 44, 18, 40, 4, 26, 10, 32, 13, 35, 19, 41, 15, 37, 3, 25, 9, 31, 5, 27)(45, 67, 47, 69, 57, 79, 62, 84, 65, 87, 64, 86, 55, 77, 46, 68, 53, 75, 63, 85, 48, 70, 58, 80, 51, 73, 60, 82, 52, 74, 49, 71, 59, 81, 54, 76, 66, 88, 56, 78, 61, 83, 50, 72)
	L = (1, 48)(2, 54)(3, 58)(4, 61)(5, 62)(6, 63)(7, 45)(8, 57)(9, 66)(10, 64)(11, 59)(12, 46)(13, 51)(14, 50)(15, 65)(16, 47)(17, 53)(18, 60)(19, 56)(20, 49)(21, 52)(22, 55)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.91
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1 * Y1, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y2^-1), (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^2, (R * Y2)^2, Y2^-2 * Y1 * Y2^-1 * Y3, Y1 * Y3^-2 * Y1 * Y3^-1, Y3 * Y2^-1 * Y1 * Y3^2, Y1 * Y3^-1 * Y2^2 * Y1, Y3^-2 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 3, 25, 9, 31, 18, 40, 13, 35, 17, 39, 4, 26, 10, 32, 21, 43, 14, 36, 22, 44, 20, 42, 7, 29, 12, 34, 16, 38, 15, 37, 19, 41, 6, 28, 11, 33, 5, 27)(45, 67, 47, 69, 57, 79, 54, 76, 66, 88, 56, 78, 63, 85, 49, 71, 52, 74, 62, 84, 48, 70, 58, 80, 51, 73, 59, 81, 55, 77, 46, 68, 53, 75, 61, 83, 65, 87, 64, 86, 60, 82, 50, 72)
	L = (1, 48)(2, 54)(3, 58)(4, 60)(5, 61)(6, 62)(7, 45)(8, 65)(9, 66)(10, 59)(11, 57)(12, 46)(13, 51)(14, 50)(15, 47)(16, 52)(17, 56)(18, 64)(19, 53)(20, 49)(21, 63)(22, 55)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.90
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3, Y2 * Y3^-1 * Y1, Y3 * Y2^2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1^3, Y1^2 * Y3 * Y1^2 * Y3^2, Y3^22, (Y3^-1 * Y1^-1)^22 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 17, 39, 13, 35, 3, 25, 4, 26, 9, 31, 18, 40, 21, 43, 11, 33, 12, 34, 14, 36, 20, 42, 22, 44, 16, 38, 7, 29, 6, 28, 10, 32, 19, 41, 15, 37, 5, 27)(45, 67, 47, 69, 55, 77, 60, 82, 59, 81, 61, 83, 62, 84, 64, 86, 54, 76, 46, 68, 48, 70, 56, 78, 51, 73, 49, 71, 57, 79, 65, 87, 66, 88, 63, 85, 52, 74, 53, 75, 58, 80, 50, 72)
	L = (1, 48)(2, 53)(3, 56)(4, 58)(5, 47)(6, 46)(7, 45)(8, 62)(9, 64)(10, 52)(11, 51)(12, 50)(13, 55)(14, 54)(15, 57)(16, 49)(17, 65)(18, 66)(19, 61)(20, 63)(21, 60)(22, 59)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.96
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y1^-1 * Y2 * Y3, Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-3 * Y2^-1 * Y1^-4, Y1 * Y3^8 * Y1, (Y3^-1 * Y1^-1)^22 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 14, 36, 20, 42, 18, 40, 12, 34, 6, 28, 4, 26, 10, 32, 16, 38, 22, 44, 19, 41, 13, 35, 7, 29, 3, 25, 9, 31, 15, 37, 21, 43, 17, 39, 11, 33, 5, 27)(45, 67, 47, 69, 48, 70, 46, 68, 53, 75, 54, 76, 52, 74, 59, 81, 60, 82, 58, 80, 65, 87, 66, 88, 64, 86, 61, 83, 63, 85, 62, 84, 55, 77, 57, 79, 56, 78, 49, 71, 51, 73, 50, 72)
	L = (1, 48)(2, 54)(3, 46)(4, 53)(5, 50)(6, 47)(7, 45)(8, 60)(9, 52)(10, 59)(11, 56)(12, 51)(13, 49)(14, 66)(15, 58)(16, 65)(17, 62)(18, 57)(19, 55)(20, 63)(21, 64)(22, 61)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.94
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y1 * Y3, (Y3^-1, Y1^-1), Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-4, (Y2 * Y1^-2)^2, Y1^-1 * Y3^8 * Y2, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 16, 38, 4, 26, 10, 32, 19, 41, 22, 44, 15, 37, 6, 28, 11, 33, 20, 42, 14, 36, 3, 25, 9, 31, 18, 40, 21, 43, 13, 35, 7, 29, 12, 34, 17, 39, 5, 27)(45, 67, 47, 69, 48, 70, 57, 79, 59, 81, 49, 71, 58, 80, 60, 82, 65, 87, 66, 88, 61, 83, 64, 86, 52, 74, 62, 84, 63, 85, 56, 78, 55, 77, 46, 68, 53, 75, 54, 76, 51, 73, 50, 72)
	L = (1, 48)(2, 54)(3, 57)(4, 59)(5, 60)(6, 47)(7, 45)(8, 63)(9, 51)(10, 50)(11, 53)(12, 46)(13, 49)(14, 65)(15, 58)(16, 66)(17, 52)(18, 56)(19, 55)(20, 62)(21, 61)(22, 64)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.93
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y2^-1 * Y1^-3, (Y1, Y3^-1), (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y1 * Y2^-1, Y2^-1 * Y1^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 6, 28, 11, 33, 17, 39, 7, 29, 12, 34, 20, 42, 18, 40, 15, 37, 22, 44, 19, 41, 13, 35, 21, 43, 16, 38, 4, 26, 10, 32, 14, 36, 3, 25, 9, 31, 5, 27)(45, 67, 47, 69, 48, 70, 57, 79, 59, 81, 56, 78, 55, 77, 46, 68, 53, 75, 54, 76, 65, 87, 66, 88, 64, 86, 61, 83, 52, 74, 49, 71, 58, 80, 60, 82, 63, 85, 62, 84, 51, 73, 50, 72)
	L = (1, 48)(2, 54)(3, 57)(4, 59)(5, 60)(6, 47)(7, 45)(8, 58)(9, 65)(10, 66)(11, 53)(12, 46)(13, 56)(14, 63)(15, 55)(16, 62)(17, 49)(18, 50)(19, 51)(20, 52)(21, 64)(22, 61)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.89
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^-1 * Y2 * Y1^-2, Y2 * Y1^-3, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^2 * Y2, Y3 * Y1^-1 * Y3^3 * Y1^-1, (Y3 * Y1^-1 * Y2)^11 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 3, 25, 9, 31, 15, 37, 4, 26, 10, 32, 20, 42, 13, 35, 19, 41, 22, 44, 14, 36, 18, 40, 21, 43, 17, 39, 7, 29, 12, 34, 16, 38, 6, 28, 11, 33, 5, 27)(45, 67, 47, 69, 48, 70, 57, 79, 58, 80, 61, 83, 60, 82, 49, 71, 52, 74, 59, 81, 64, 86, 66, 88, 65, 87, 56, 78, 55, 77, 46, 68, 53, 75, 54, 76, 63, 85, 62, 84, 51, 73, 50, 72)
	L = (1, 48)(2, 54)(3, 57)(4, 58)(5, 59)(6, 47)(7, 45)(8, 64)(9, 63)(10, 62)(11, 53)(12, 46)(13, 61)(14, 60)(15, 66)(16, 52)(17, 49)(18, 50)(19, 51)(20, 65)(21, 55)(22, 56)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.92
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^-1, (Y2, Y1^-1), (Y3^-1, Y1^-1), Y1^-1 * Y3^2 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-3, Y1^-1 * Y3^-8 * Y2, Y1 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 17, 39, 7, 29, 12, 34, 20, 42, 22, 44, 16, 38, 6, 28, 11, 33, 19, 41, 13, 35, 3, 25, 9, 31, 18, 40, 21, 43, 14, 36, 4, 26, 10, 32, 15, 37, 5, 27)(45, 67, 47, 69, 51, 73, 58, 80, 60, 82, 49, 71, 57, 79, 61, 83, 65, 87, 66, 88, 59, 81, 63, 85, 52, 74, 62, 84, 64, 86, 54, 76, 55, 77, 46, 68, 53, 75, 56, 78, 48, 70, 50, 72)
	L = (1, 48)(2, 54)(3, 50)(4, 53)(5, 58)(6, 56)(7, 45)(8, 59)(9, 55)(10, 62)(11, 64)(12, 46)(13, 60)(14, 47)(15, 65)(16, 51)(17, 49)(18, 63)(19, 66)(20, 52)(21, 57)(22, 61)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.88
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 22, 22, 22})
Quotient :: dipole
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3 * Y2^-1, (Y1^-1, Y3), Y2 * Y1 * Y3^-2, (R * Y2)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2^3, Y3^-1 * Y1^3 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 23, 2, 24, 8, 30, 14, 36, 20, 42, 19, 41, 7, 29, 12, 34, 15, 37, 3, 25, 9, 31, 22, 44, 18, 40, 6, 28, 11, 33, 16, 38, 4, 26, 10, 32, 13, 35, 21, 43, 17, 39, 5, 27)(45, 67, 47, 69, 57, 79, 63, 85, 55, 77, 46, 68, 53, 75, 65, 87, 51, 73, 60, 82, 52, 74, 66, 88, 61, 83, 56, 78, 48, 70, 58, 80, 62, 84, 49, 71, 59, 81, 54, 76, 64, 86, 50, 72)
	L = (1, 48)(2, 54)(3, 58)(4, 53)(5, 60)(6, 56)(7, 45)(8, 57)(9, 64)(10, 66)(11, 59)(12, 46)(13, 62)(14, 65)(15, 52)(16, 47)(17, 55)(18, 51)(19, 49)(20, 61)(21, 50)(22, 63)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.87
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.99 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {12, 12, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y3^2 * Y1, Y1^-2 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y1^3, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3^5 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 18, 42, 24, 48, 16, 40, 23, 47, 17, 41, 22, 46, 15, 39, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 12, 36, 21, 45, 13, 37, 20, 44, 9, 33, 19, 43, 11, 35, 14, 38, 8, 32)(49, 50, 54, 62, 70, 67, 71, 68, 72, 69, 58, 52)(51, 57, 53, 61, 63, 60, 65, 55, 64, 56, 66, 59)(73, 74, 78, 86, 94, 91, 95, 92, 96, 93, 82, 76)(75, 81, 77, 85, 87, 84, 89, 79, 88, 80, 90, 83)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.100
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 12^4, 24^2 ]

E21.100 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {12, 12, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y3^2 * Y1, Y1^-2 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y1^3, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3^5 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 18, 42, 66, 90, 24, 48, 72, 96, 16, 40, 64, 88, 23, 47, 71, 95, 17, 41, 65, 89, 22, 46, 70, 94, 15, 39, 63, 87, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 4, 28, 52, 76, 12, 36, 60, 84, 21, 45, 69, 93, 13, 37, 61, 85, 20, 44, 68, 92, 9, 33, 57, 81, 19, 43, 67, 91, 11, 35, 59, 83, 14, 38, 62, 86, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 37)(6, 38)(7, 40)(8, 42)(9, 29)(10, 28)(11, 27)(12, 41)(13, 39)(14, 46)(15, 36)(16, 32)(17, 31)(18, 35)(19, 47)(20, 48)(21, 34)(22, 43)(23, 44)(24, 45)(49, 74)(50, 78)(51, 81)(52, 73)(53, 85)(54, 86)(55, 88)(56, 90)(57, 77)(58, 76)(59, 75)(60, 89)(61, 87)(62, 94)(63, 84)(64, 80)(65, 79)(66, 83)(67, 95)(68, 96)(69, 82)(70, 91)(71, 92)(72, 93)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.99
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1, Y3^-1), (Y1^-1, Y2^-1), Y3 * Y2 * Y1^-2, Y2^-1 * Y1 * Y3^-1 * Y1, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2^4, Y3 * Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 23, 47, 24, 48, 16, 40, 5, 29)(3, 27, 9, 33, 19, 43, 22, 46, 15, 39, 18, 42, 7, 31, 12, 36)(4, 28, 10, 34, 14, 38, 21, 45, 13, 37, 17, 41, 6, 30, 11, 35)(49, 73, 51, 75, 61, 85, 64, 88, 55, 79, 62, 86, 71, 95, 63, 87, 52, 76, 56, 80, 67, 91, 54, 78)(50, 74, 57, 81, 65, 89, 53, 77, 60, 84, 69, 93, 72, 96, 66, 90, 58, 82, 68, 92, 70, 94, 59, 83)
	L = (1, 52)(2, 58)(3, 56)(4, 55)(5, 59)(6, 63)(7, 49)(8, 62)(9, 68)(10, 60)(11, 66)(12, 50)(13, 67)(14, 51)(15, 64)(16, 54)(17, 70)(18, 53)(19, 71)(20, 69)(21, 57)(22, 72)(23, 61)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.108
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^2 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, (Y1^-1, Y3), Y3^-1 * Y2^-4, Y2^-1 * Y3^-1 * Y1^6, (Y2 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 23, 47, 24, 48, 14, 38, 5, 29)(3, 27, 9, 33, 7, 31, 12, 36, 18, 42, 22, 46, 19, 43, 15, 39)(4, 28, 10, 34, 6, 30, 11, 35, 13, 37, 21, 45, 16, 40, 17, 41)(49, 73, 51, 75, 61, 85, 56, 80, 55, 79, 64, 88, 71, 95, 66, 90, 52, 76, 62, 86, 67, 91, 54, 78)(50, 74, 57, 81, 69, 93, 68, 92, 60, 84, 65, 89, 72, 96, 70, 94, 58, 82, 53, 77, 63, 87, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 65)(6, 66)(7, 49)(8, 54)(9, 53)(10, 60)(11, 70)(12, 50)(13, 67)(14, 64)(15, 72)(16, 51)(17, 57)(18, 56)(19, 71)(20, 59)(21, 63)(22, 68)(23, 61)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.107
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (Y1^-1, Y3), Y1^2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3, Y1^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, Y3^6, Y3^-2 * Y1 * Y2^-1 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 23, 47, 22, 46, 13, 37, 5, 29)(3, 27, 9, 33, 7, 31, 12, 36, 19, 43, 24, 48, 15, 39, 14, 38)(4, 28, 10, 34, 6, 30, 11, 35, 17, 41, 20, 44, 21, 45, 16, 40)(49, 73, 51, 75, 52, 76, 61, 85, 63, 87, 69, 93, 71, 95, 67, 91, 65, 89, 56, 80, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 53, 77, 62, 86, 64, 88, 70, 94, 72, 96, 68, 92, 66, 90, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 64)(6, 51)(7, 49)(8, 54)(9, 53)(10, 62)(11, 57)(12, 50)(13, 69)(14, 70)(15, 71)(16, 72)(17, 55)(18, 59)(19, 56)(20, 60)(21, 67)(22, 68)(23, 65)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.109
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1 * Y2^-1 * Y1 * Y3^-1, (Y3^-1, Y1), (R * Y3)^2, Y3 * Y2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^-2 * Y1, Y3^6, Y1^-24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 21, 45, 22, 46, 14, 38, 5, 29)(3, 27, 9, 33, 13, 37, 20, 44, 23, 47, 16, 40, 7, 31, 12, 36)(4, 28, 10, 34, 19, 43, 24, 48, 17, 41, 15, 39, 6, 30, 11, 35)(49, 73, 51, 75, 52, 76, 56, 80, 61, 85, 67, 91, 69, 93, 71, 95, 65, 89, 62, 86, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 66, 90, 68, 92, 72, 96, 70, 94, 64, 88, 63, 87, 53, 77, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 56)(4, 61)(5, 59)(6, 51)(7, 49)(8, 67)(9, 66)(10, 68)(11, 57)(12, 50)(13, 69)(14, 54)(15, 60)(16, 53)(17, 55)(18, 72)(19, 71)(20, 70)(21, 65)(22, 63)(23, 62)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.110
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, (Y2^-1 * Y1)^2, Y1^-1 * Y2^2 * Y1^-1, (Y3^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^-5 * Y1^-1, Y2^2 * Y1 * Y2 * Y1^2, (Y1^-1 * Y3^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 16, 40, 6, 30, 11, 35, 3, 27, 9, 33, 20, 44, 15, 39, 5, 29)(4, 28, 10, 34, 21, 45, 23, 47, 17, 41, 7, 31, 12, 36, 13, 37, 22, 46, 24, 48, 18, 42, 14, 38)(49, 73, 51, 75, 56, 80, 68, 92, 64, 88, 53, 77, 59, 83, 50, 74, 57, 81, 67, 91, 63, 87, 54, 78)(52, 76, 61, 85, 69, 93, 72, 96, 65, 89, 62, 86, 60, 84, 58, 82, 70, 94, 71, 95, 66, 90, 55, 79)
	L = (1, 52)(2, 58)(3, 61)(4, 51)(5, 62)(6, 55)(7, 49)(8, 69)(9, 70)(10, 57)(11, 60)(12, 50)(13, 56)(14, 59)(15, 66)(16, 65)(17, 53)(18, 54)(19, 71)(20, 72)(21, 68)(22, 67)(23, 63)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.106
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y3^-1 * Y1, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-2, Y1^-6 * Y2^2, Y2^2 * Y3^-1 * Y2^2 * Y1^-1 * Y2 * 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 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 20, 44, 9, 33, 17, 41, 12, 36, 5, 29, 8, 32, 16, 40, 23, 47, 21, 45, 10, 34, 3, 27, 7, 31, 15, 39, 13, 37, 18, 42, 24, 48, 19, 43, 11, 35, 4, 28)(49, 73, 51, 75, 57, 81, 67, 91, 71, 95, 62, 86, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 59, 83, 69, 93, 70, 94, 66, 90, 56, 80)(52, 76, 58, 82, 68, 92, 72, 96, 64, 88, 54, 78, 63, 87, 60, 84)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 70)(15, 61)(16, 71)(17, 60)(18, 72)(19, 59)(20, 57)(21, 58)(22, 68)(23, 69)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^16 ), ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E21.105
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1, (Y3, Y2^-1), (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 4, 28, 9, 33, 20, 44, 18, 42, 7, 31, 11, 35, 17, 41, 5, 29)(3, 27, 6, 30, 10, 34, 21, 45, 12, 36, 16, 40, 22, 46, 24, 48, 14, 38, 19, 43, 23, 47, 13, 37)(49, 73, 51, 75, 53, 77, 61, 85, 65, 89, 71, 95, 59, 83, 67, 91, 55, 79, 62, 86, 66, 90, 72, 96, 68, 92, 70, 94, 57, 81, 64, 88, 52, 76, 60, 84, 63, 87, 69, 93, 56, 80, 58, 82, 50, 74, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 55)(5, 63)(6, 64)(7, 49)(8, 68)(9, 59)(10, 70)(11, 50)(12, 62)(13, 69)(14, 51)(15, 66)(16, 67)(17, 56)(18, 53)(19, 54)(20, 65)(21, 72)(22, 71)(23, 58)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.102
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y3, (Y3, Y2^-1), (R * Y1)^2, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1^4, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y1^-1 * Y2^-4 * Y1^-1, (Y3 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 4, 28, 10, 34, 21, 45, 18, 42, 7, 31, 12, 36, 16, 40, 5, 29)(3, 27, 9, 33, 20, 44, 19, 43, 13, 37, 23, 47, 17, 41, 6, 30, 11, 35, 22, 46, 24, 48, 14, 38)(49, 73, 51, 75, 58, 82, 71, 95, 64, 88, 72, 96, 63, 87, 67, 91, 55, 79, 59, 83, 50, 74, 57, 81, 69, 93, 65, 89, 53, 77, 62, 86, 52, 76, 61, 85, 60, 84, 70, 94, 56, 80, 68, 92, 66, 90, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 63)(6, 62)(7, 49)(8, 69)(9, 71)(10, 60)(11, 51)(12, 50)(13, 59)(14, 67)(15, 66)(16, 56)(17, 72)(18, 53)(19, 54)(20, 65)(21, 64)(22, 57)(23, 70)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.101
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y2 * Y1 * Y2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y3^6, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 9, 33, 15, 39, 17, 41, 20, 44, 21, 45, 12, 36, 13, 37, 4, 28, 5, 29)(3, 27, 6, 30, 8, 32, 14, 38, 16, 40, 22, 46, 23, 47, 24, 48, 18, 42, 19, 43, 10, 34, 11, 35)(49, 73, 51, 75, 53, 77, 59, 83, 52, 76, 58, 82, 61, 85, 67, 91, 60, 84, 66, 90, 69, 93, 72, 96, 68, 92, 71, 95, 65, 89, 70, 94, 63, 87, 64, 88, 57, 81, 62, 86, 55, 79, 56, 80, 50, 74, 54, 78)
	L = (1, 52)(2, 53)(3, 58)(4, 60)(5, 61)(6, 59)(7, 49)(8, 51)(9, 50)(10, 66)(11, 67)(12, 68)(13, 69)(14, 54)(15, 55)(16, 56)(17, 57)(18, 71)(19, 72)(20, 63)(21, 65)(22, 62)(23, 64)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.103
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, (R * Y2)^2, (Y2, Y3^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^4 * Y3^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 21, 45, 11, 35, 22, 46, 19, 43, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 23, 47, 24, 48, 17, 41, 18, 42, 6, 30, 9, 33, 20, 44, 12, 36, 13, 37)(49, 73, 51, 75, 59, 83, 65, 89, 52, 76, 60, 84, 58, 82, 71, 95, 63, 87, 57, 81, 50, 74, 56, 80, 70, 94, 66, 90, 53, 77, 61, 85, 69, 93, 72, 96, 64, 88, 68, 92, 55, 79, 62, 86, 67, 91, 54, 78)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 61)(9, 66)(10, 50)(11, 58)(12, 57)(13, 68)(14, 51)(15, 70)(16, 67)(17, 71)(18, 72)(19, 59)(20, 54)(21, 55)(22, 69)(23, 56)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.104
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ 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, Y2^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y2^6 * Y1^2, Y1^8, (Y3^-1 * Y1^-1)^8, Y2^24, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 19, 43, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 23, 47, 21, 45, 13, 37, 18, 42, 10, 34)(5, 29, 8, 32, 16, 40, 9, 33, 17, 41, 24, 48, 20, 44, 12, 36)(49, 73, 51, 75, 57, 81, 62, 86, 71, 95, 68, 92, 59, 83, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 70, 94, 69, 93, 60, 84, 52, 76, 58, 82, 64, 88, 54, 78, 63, 87, 72, 96, 67, 91, 61, 85, 53, 77)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|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, Y1), (R * Y1)^2, (R * Y3)^2, (Y1, Y2), Y1^3 * Y2^3, (R * Y2 * Y3^-1)^2, Y2^6 * Y1^-2, Y2^4 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 19, 43, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 13, 37, 18, 42, 24, 48, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 23, 47, 20, 44, 9, 33, 17, 41, 12, 36)(49, 73, 51, 75, 57, 81, 67, 91, 72, 96, 64, 88, 54, 78, 63, 87, 60, 84, 52, 76, 58, 82, 68, 92, 70, 94, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 59, 83, 69, 93, 71, 95, 62, 86, 61, 85, 53, 77)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 16, 40, 10, 34, 4, 28)(3, 27, 7, 31, 13, 37, 19, 43, 23, 47, 21, 45, 15, 39, 9, 33)(5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 22, 46, 17, 41, 11, 35)(49, 73, 51, 75, 56, 80, 50, 74, 55, 79, 62, 86, 54, 78, 61, 85, 68, 92, 60, 84, 67, 91, 72, 96, 66, 90, 71, 95, 70, 94, 64, 88, 69, 93, 65, 89, 58, 82, 63, 87, 59, 83, 52, 76, 57, 81, 53, 77)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 17, 41, 11, 35, 4, 28)(3, 27, 7, 31, 13, 37, 19, 43, 23, 47, 22, 46, 16, 40, 10, 34)(5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 21, 45, 15, 39, 9, 33)(49, 73, 51, 75, 57, 81, 52, 76, 58, 82, 63, 87, 59, 83, 64, 88, 69, 93, 65, 89, 70, 94, 72, 96, 66, 90, 71, 95, 68, 92, 60, 84, 67, 91, 62, 86, 54, 78, 61, 85, 56, 80, 50, 74, 55, 79, 53, 77)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1^-1 * Y3, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4 * Y3, Y2 * Y3 * Y2^2 * Y1, Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, (Y3 * Y2^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 14, 38, 4, 28, 9, 33, 16, 40, 5, 29)(3, 27, 8, 32, 19, 43, 23, 47, 12, 36, 18, 42, 22, 46, 13, 37)(6, 30, 10, 34, 20, 44, 11, 35, 15, 39, 21, 45, 24, 48, 17, 41)(49, 73, 51, 75, 59, 83, 62, 86, 71, 95, 72, 96, 64, 88, 70, 94, 58, 82, 50, 74, 56, 80, 63, 87, 52, 76, 60, 84, 65, 89, 53, 77, 61, 85, 68, 92, 55, 79, 67, 91, 69, 93, 57, 81, 66, 90, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 64)(8, 66)(9, 50)(10, 69)(11, 65)(12, 51)(13, 71)(14, 53)(15, 54)(16, 55)(17, 59)(18, 56)(19, 70)(20, 72)(21, 58)(22, 67)(23, 61)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (Y2, Y1), Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-2 * Y1, Y1^4 * Y3, Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 14, 38, 4, 28, 9, 33, 16, 40, 5, 29)(3, 27, 8, 32, 19, 43, 18, 42, 12, 36, 22, 46, 23, 47, 13, 37)(6, 30, 10, 34, 20, 44, 24, 48, 15, 39, 11, 35, 21, 45, 17, 41)(49, 73, 51, 75, 59, 83, 57, 81, 70, 94, 68, 92, 55, 79, 67, 91, 65, 89, 53, 77, 61, 85, 63, 87, 52, 76, 60, 84, 58, 82, 50, 74, 56, 80, 69, 93, 64, 88, 71, 95, 72, 96, 62, 86, 66, 90, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 64)(8, 70)(9, 50)(10, 59)(11, 58)(12, 51)(13, 66)(14, 53)(15, 54)(16, 55)(17, 72)(18, 61)(19, 71)(20, 69)(21, 68)(22, 56)(23, 67)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-1 * Y2, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y3 * Y1^4, Y3 * Y2^2 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 13, 37, 4, 28, 9, 33, 15, 39, 5, 29)(3, 27, 8, 32, 17, 41, 21, 45, 11, 35, 19, 43, 22, 46, 12, 36)(6, 30, 10, 34, 18, 42, 23, 47, 14, 38, 20, 44, 24, 48, 16, 40)(49, 73, 51, 75, 58, 82, 50, 74, 56, 80, 66, 90, 55, 79, 65, 89, 71, 95, 61, 85, 69, 93, 62, 86, 52, 76, 59, 83, 68, 92, 57, 81, 67, 91, 72, 96, 63, 87, 70, 94, 64, 88, 53, 77, 60, 84, 54, 78)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 61)(6, 62)(7, 63)(8, 67)(9, 50)(10, 68)(11, 51)(12, 69)(13, 53)(14, 54)(15, 55)(16, 71)(17, 70)(18, 72)(19, 56)(20, 58)(21, 60)(22, 65)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y1, Y2), Y1^-1 * Y3 * Y1 * Y3, Y1^4 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 14, 38, 4, 28, 9, 33, 16, 40, 5, 29)(3, 27, 8, 32, 17, 41, 23, 47, 12, 36, 19, 43, 24, 48, 13, 37)(6, 30, 10, 34, 18, 42, 21, 45, 15, 39, 20, 44, 22, 46, 11, 35)(49, 73, 51, 75, 59, 83, 53, 77, 61, 85, 70, 94, 64, 88, 72, 96, 68, 92, 57, 81, 67, 91, 63, 87, 52, 76, 60, 84, 69, 93, 62, 86, 71, 95, 66, 90, 55, 79, 65, 89, 58, 82, 50, 74, 56, 80, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 64)(8, 67)(9, 50)(10, 68)(11, 69)(12, 51)(13, 71)(14, 53)(15, 54)(16, 55)(17, 72)(18, 70)(19, 56)(20, 58)(21, 59)(22, 66)(23, 61)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y1^-1, Y2^-1), (R * Y3)^2, (Y2, Y3), (R * Y2)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y2^3 * Y3^-1, Y1^-1 * Y2^-1 * Y3^-2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 15, 39, 18, 42, 7, 31, 5, 29)(3, 27, 8, 32, 12, 36, 22, 46, 24, 48, 19, 43, 14, 38, 13, 37)(6, 30, 10, 34, 16, 40, 11, 35, 21, 45, 23, 47, 20, 44, 17, 41)(49, 73, 51, 75, 59, 83, 57, 81, 70, 94, 68, 92, 55, 79, 62, 86, 58, 82, 50, 74, 56, 80, 69, 93, 63, 87, 72, 96, 65, 89, 53, 77, 61, 85, 64, 88, 52, 76, 60, 84, 71, 95, 66, 90, 67, 91, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 50)(6, 64)(7, 49)(8, 70)(9, 66)(10, 59)(11, 71)(12, 72)(13, 56)(14, 51)(15, 55)(16, 69)(17, 58)(18, 53)(19, 61)(20, 54)(21, 68)(22, 67)(23, 65)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.122
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, (R * Y2)^2, (R * Y3)^2, Y3^4, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), Y2^-1 * Y3 * Y1^-1 * Y2^-2, Y3 * Y2^2 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 19, 43, 21, 45, 24, 48, 12, 36, 13, 37)(6, 30, 9, 33, 20, 44, 22, 46, 23, 47, 11, 35, 17, 41, 18, 42)(49, 73, 51, 75, 59, 83, 64, 88, 72, 96, 68, 92, 55, 79, 62, 86, 66, 90, 53, 77, 61, 85, 71, 95, 63, 87, 69, 93, 57, 81, 50, 74, 56, 80, 65, 89, 52, 76, 60, 84, 70, 94, 58, 82, 67, 91, 54, 78)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 61)(9, 66)(10, 50)(11, 70)(12, 69)(13, 72)(14, 51)(15, 55)(16, 58)(17, 71)(18, 59)(19, 56)(20, 54)(21, 62)(22, 57)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3^4, Y2^2 * Y1^-1 * Y2, Y3^4, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 14, 38, 15, 39, 4, 28, 5, 29)(3, 27, 8, 32, 13, 37, 19, 43, 21, 45, 22, 46, 11, 35, 12, 36)(6, 30, 9, 33, 18, 42, 20, 44, 23, 47, 24, 48, 16, 40, 17, 41)(49, 73, 51, 75, 57, 81, 50, 74, 56, 80, 66, 90, 55, 79, 61, 85, 68, 92, 58, 82, 67, 91, 71, 95, 62, 86, 69, 93, 72, 96, 63, 87, 70, 94, 64, 88, 52, 76, 59, 83, 65, 89, 53, 77, 60, 84, 54, 78)
	L = (1, 52)(2, 53)(3, 59)(4, 62)(5, 63)(6, 64)(7, 49)(8, 60)(9, 65)(10, 50)(11, 69)(12, 70)(13, 51)(14, 55)(15, 58)(16, 71)(17, 72)(18, 54)(19, 56)(20, 57)(21, 61)(22, 67)(23, 66)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y3^4, (Y2^-1, Y3), Y2^-2 * Y1^-1 * Y2^-1, Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 15, 39, 17, 41, 7, 31, 5, 29)(3, 27, 8, 32, 12, 36, 19, 43, 22, 46, 23, 47, 14, 38, 13, 37)(6, 30, 10, 34, 16, 40, 20, 44, 24, 48, 21, 45, 18, 42, 11, 35)(49, 73, 51, 75, 59, 83, 53, 77, 61, 85, 66, 90, 55, 79, 62, 86, 69, 93, 65, 89, 71, 95, 72, 96, 63, 87, 70, 94, 68, 92, 57, 81, 67, 91, 64, 88, 52, 76, 60, 84, 58, 82, 50, 74, 56, 80, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 50)(6, 64)(7, 49)(8, 67)(9, 65)(10, 68)(11, 58)(12, 70)(13, 56)(14, 51)(15, 55)(16, 72)(17, 53)(18, 54)(19, 71)(20, 69)(21, 59)(22, 62)(23, 61)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.119
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (Y2, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y2^-1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 22, 46, 24, 48, 19, 43, 12, 36, 13, 37)(6, 30, 9, 33, 20, 44, 11, 35, 21, 45, 23, 47, 17, 41, 18, 42)(49, 73, 51, 75, 59, 83, 58, 82, 70, 94, 65, 89, 52, 76, 60, 84, 57, 81, 50, 74, 56, 80, 69, 93, 63, 87, 72, 96, 66, 90, 53, 77, 61, 85, 68, 92, 55, 79, 62, 86, 71, 95, 64, 88, 67, 91, 54, 78)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 61)(9, 66)(10, 50)(11, 57)(12, 72)(13, 67)(14, 51)(15, 55)(16, 58)(17, 69)(18, 71)(19, 70)(20, 54)(21, 68)(22, 56)(23, 59)(24, 62)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.126
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y3^4, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 15, 39, 18, 42, 7, 31, 5, 29)(3, 27, 8, 32, 12, 36, 19, 43, 22, 46, 24, 48, 14, 38, 13, 37)(6, 30, 10, 34, 16, 40, 21, 45, 23, 47, 11, 35, 20, 44, 17, 41)(49, 73, 51, 75, 59, 83, 66, 90, 72, 96, 64, 88, 52, 76, 60, 84, 65, 89, 53, 77, 61, 85, 71, 95, 63, 87, 70, 94, 58, 82, 50, 74, 56, 80, 68, 92, 55, 79, 62, 86, 69, 93, 57, 81, 67, 91, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 50)(6, 64)(7, 49)(8, 67)(9, 66)(10, 69)(11, 65)(12, 70)(13, 56)(14, 51)(15, 55)(16, 71)(17, 58)(18, 53)(19, 72)(20, 54)(21, 59)(22, 62)(23, 68)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y2^3 * Y1^-1, Y2^3 * Y1^-1, Y2 * Y1^-1 * Y2^2, (R * Y3)^2, Y3^4, (Y1, Y2), (Y2, Y3), (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^8, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 14, 38, 17, 41, 7, 31, 5, 29)(3, 27, 8, 32, 11, 35, 19, 43, 21, 45, 22, 46, 13, 37, 12, 36)(6, 30, 10, 34, 15, 39, 20, 44, 23, 47, 24, 48, 18, 42, 16, 40)(49, 73, 51, 75, 58, 82, 50, 74, 56, 80, 63, 87, 52, 76, 59, 83, 68, 92, 57, 81, 67, 91, 71, 95, 62, 86, 69, 93, 72, 96, 65, 89, 70, 94, 66, 90, 55, 79, 61, 85, 64, 88, 53, 77, 60, 84, 54, 78)
	L = (1, 52)(2, 57)(3, 59)(4, 62)(5, 50)(6, 63)(7, 49)(8, 67)(9, 65)(10, 68)(11, 69)(12, 56)(13, 51)(14, 55)(15, 71)(16, 58)(17, 53)(18, 54)(19, 70)(20, 72)(21, 61)(22, 60)(23, 66)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y2^-2, Y3^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2 * Y3 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 19, 43, 22, 46, 23, 47, 12, 36, 13, 37)(6, 30, 9, 33, 18, 42, 20, 44, 24, 48, 21, 45, 17, 41, 11, 35)(49, 73, 51, 75, 59, 83, 53, 77, 61, 85, 65, 89, 52, 76, 60, 84, 69, 93, 64, 88, 71, 95, 72, 96, 63, 87, 70, 94, 68, 92, 58, 82, 67, 91, 66, 90, 55, 79, 62, 86, 57, 81, 50, 74, 56, 80, 54, 78)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 61)(9, 59)(10, 50)(11, 69)(12, 70)(13, 71)(14, 51)(15, 55)(16, 58)(17, 72)(18, 54)(19, 56)(20, 57)(21, 68)(22, 62)(23, 67)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.123
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^2 * Y1 * Y2, Y3 * Y1 * Y3 * Y2, (Y3^-1, Y2^-1), Y1^-1 * Y2^-1 * Y3^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-2 * Y3^-2 * Y2, Y1^6, Y1^2 * Y2 * Y3^-1 * Y1^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 17, 41, 5, 29)(3, 27, 9, 33, 19, 43, 23, 47, 14, 38, 6, 30)(4, 28, 10, 34, 13, 37, 21, 45, 24, 48, 15, 39)(7, 31, 11, 35, 20, 44, 22, 46, 16, 40, 12, 36)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 67, 91, 66, 90, 71, 95, 65, 89, 62, 86, 53, 77, 54, 78)(52, 76, 60, 84, 58, 82, 55, 79, 61, 85, 59, 83, 69, 93, 68, 92, 72, 96, 70, 94, 63, 87, 64, 88)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 61)(9, 55)(10, 54)(11, 50)(12, 53)(13, 51)(14, 70)(15, 71)(16, 65)(17, 72)(18, 69)(19, 59)(20, 56)(21, 57)(22, 66)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.141
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 12^4, 24^2 ]

E21.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, Y3^2 * Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2, (Y3^-1, Y2), Y3^2 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^6, (Y3^-1 * Y1^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 14, 38, 5, 29)(3, 27, 9, 33, 19, 43, 22, 46, 15, 39, 6, 30)(4, 28, 10, 34, 20, 44, 24, 48, 17, 41, 13, 37)(7, 31, 11, 35, 12, 36, 21, 45, 23, 47, 16, 40)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 67, 91, 66, 90, 70, 94, 62, 86, 63, 87, 53, 77, 54, 78)(52, 76, 60, 84, 58, 82, 69, 93, 68, 92, 71, 95, 72, 96, 64, 88, 65, 89, 55, 79, 61, 85, 59, 83)
	L = (1, 52)(2, 58)(3, 60)(4, 57)(5, 61)(6, 59)(7, 49)(8, 68)(9, 69)(10, 67)(11, 50)(12, 56)(13, 51)(14, 65)(15, 55)(16, 53)(17, 54)(18, 72)(19, 71)(20, 70)(21, 66)(22, 64)(23, 62)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.142
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 12^4, 24^2 ]

E21.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, (Y1, Y3), (Y3, Y2), (R * Y1)^2, Y3^-1 * Y1^-3, (R * Y2)^2, Y3^4, (R * Y3)^2, Y1 * Y2 * Y1 * Y3 * 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 11, 35, 19, 43, 14, 38, 21, 45, 15, 39, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 18, 42, 13, 37, 20, 44, 23, 47, 22, 46, 24, 48, 16, 40, 12, 36, 17, 41, 6, 30)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 66, 90, 55, 79, 61, 85, 59, 83, 68, 92, 67, 91, 71, 95, 62, 86, 70, 94, 69, 93, 72, 96, 63, 87, 64, 88, 52, 76, 60, 84, 58, 82, 65, 89, 53, 77, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 53)(9, 65)(10, 69)(11, 50)(12, 70)(13, 51)(14, 55)(15, 67)(16, 71)(17, 72)(18, 54)(19, 56)(20, 57)(21, 59)(22, 61)(23, 66)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.136
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^3, (Y1^-1, Y2), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1^-1), Y3^4, Y3 * Y1 * Y2 * Y3 * Y2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2^2 * Y3^-2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 13, 37, 17, 41, 21, 45, 18, 42, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 23, 47, 16, 40, 19, 43, 24, 48, 20, 44, 6, 30, 11, 35, 14, 38, 22, 46, 15, 39)(49, 73, 51, 75, 61, 85, 72, 96, 58, 82, 70, 94, 55, 79, 64, 88, 66, 90, 59, 83, 50, 74, 57, 81, 65, 89, 68, 92, 53, 77, 63, 87, 60, 84, 67, 91, 52, 76, 62, 86, 56, 80, 71, 95, 69, 93, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 53)(9, 70)(10, 69)(11, 72)(12, 50)(13, 56)(14, 68)(15, 59)(16, 51)(17, 55)(18, 61)(19, 57)(20, 64)(21, 60)(22, 54)(23, 63)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.138
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y3, Y1), Y3^-1 * Y1^-3, (R * Y2)^2, (Y3, Y2^-1), Y3^4, (R * Y3)^2, (R * Y1)^2, 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 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 11, 35, 19, 43, 15, 39, 20, 44, 16, 40, 4, 28, 9, 33, 5, 29)(3, 27, 6, 30, 10, 34, 14, 38, 18, 42, 21, 45, 22, 46, 24, 48, 23, 47, 12, 36, 17, 41, 13, 37)(49, 73, 51, 75, 53, 77, 61, 85, 57, 81, 65, 89, 52, 76, 60, 84, 64, 88, 71, 95, 68, 92, 72, 96, 63, 87, 70, 94, 67, 91, 69, 93, 59, 83, 66, 90, 55, 79, 62, 86, 56, 80, 58, 82, 50, 74, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 53)(9, 68)(10, 61)(11, 50)(12, 70)(13, 71)(14, 51)(15, 55)(16, 67)(17, 72)(18, 54)(19, 56)(20, 59)(21, 58)(22, 62)(23, 69)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.135
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-3, (Y3^-1, Y2), (Y1^-1, Y3), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y3 * Y1 * Y3 * Y2^-2, Y1^-1 * Y2^2 * Y3^2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 21, 45, 17, 41, 13, 37, 18, 42, 4, 28, 10, 34, 5, 29)(3, 27, 9, 33, 19, 43, 16, 40, 20, 44, 6, 30, 11, 35, 23, 47, 22, 46, 14, 38, 24, 48, 15, 39)(49, 73, 51, 75, 61, 85, 71, 95, 56, 80, 67, 91, 52, 76, 62, 86, 60, 84, 68, 92, 53, 77, 63, 87, 65, 89, 59, 83, 50, 74, 57, 81, 66, 90, 70, 94, 55, 79, 64, 88, 58, 82, 72, 96, 69, 93, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 53)(9, 72)(10, 61)(11, 64)(12, 50)(13, 60)(14, 59)(15, 70)(16, 51)(17, 55)(18, 69)(19, 63)(20, 57)(21, 56)(22, 54)(23, 68)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.137
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^12, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 21, 45, 17, 41, 13, 37, 9, 33, 5, 29)(49, 73, 51, 75, 50, 74, 55, 79, 54, 78, 59, 83, 58, 82, 63, 87, 62, 86, 67, 91, 66, 90, 71, 95, 70, 94, 72, 96, 68, 92, 69, 93, 64, 88, 65, 89, 60, 84, 61, 85, 56, 80, 57, 81, 52, 76, 53, 77)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 51)(6, 58)(7, 59)(8, 52)(9, 53)(10, 62)(11, 63)(12, 56)(13, 57)(14, 66)(15, 67)(16, 60)(17, 61)(18, 70)(19, 71)(20, 64)(21, 65)(22, 68)(23, 72)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.139
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^2 * Y2 * Y1 * Y2 * Y1^2, (Y3^-1 * Y1^-1)^6, 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 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 13, 37, 18, 42, 9, 33, 17, 41, 20, 44, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 12, 36, 5, 29, 8, 32, 16, 40, 23, 47, 24, 48, 19, 43, 10, 34)(49, 73, 51, 75, 57, 81, 64, 88, 54, 78, 63, 87, 68, 92, 72, 96, 70, 94, 60, 84, 52, 76, 58, 82, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 71, 95, 62, 86, 69, 93, 59, 83, 67, 91, 61, 85, 53, 77)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 70)(15, 69)(16, 71)(17, 68)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 72)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.140
Graph:: bipartite
	v = 3 e = 48 f = 5
	degree seq :: [ 24^2, 48 ]

E21.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2 * Y1, Y2 * Y3 * Y1^2, Y1^2 * Y3 * Y2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3), (R * Y2)^2, Y3^4, Y2^-3 * Y3^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 3, 27, 9, 33, 7, 31, 12, 36, 13, 37, 21, 45, 16, 40, 22, 46, 17, 41, 23, 47, 19, 43, 24, 48, 20, 44, 18, 42, 4, 28, 10, 34, 6, 30, 11, 35, 14, 38, 5, 29)(49, 73, 51, 75, 61, 85, 65, 89, 68, 92, 54, 78)(50, 74, 57, 81, 69, 93, 71, 95, 66, 90, 59, 83)(52, 76, 62, 86, 56, 80, 55, 79, 64, 88, 67, 91)(53, 77, 63, 87, 60, 84, 70, 94, 72, 96, 58, 82)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 54)(9, 53)(10, 71)(11, 72)(12, 50)(13, 56)(14, 68)(15, 59)(16, 51)(17, 55)(18, 70)(19, 61)(20, 64)(21, 63)(22, 57)(23, 60)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.131
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), Y2 * Y3 * Y1^-2, (R * Y1)^2, Y3^4, Y3 * Y2 * Y1^-2, (R * Y2)^2, Y2 * Y1^4, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 6, 30, 11, 35, 4, 28, 10, 34, 20, 44, 24, 48, 16, 40, 23, 47, 15, 39, 22, 46, 14, 38, 21, 45, 13, 37, 19, 43, 7, 31, 12, 36, 3, 27, 9, 33, 17, 41, 5, 29)(49, 73, 51, 75, 61, 85, 63, 87, 68, 92, 54, 78)(50, 74, 57, 81, 67, 91, 70, 94, 72, 96, 59, 83)(52, 76, 56, 80, 65, 89, 55, 79, 62, 86, 64, 88)(53, 77, 60, 84, 69, 93, 71, 95, 58, 82, 66, 90)
	L = (1, 52)(2, 58)(3, 56)(4, 63)(5, 59)(6, 64)(7, 49)(8, 68)(9, 66)(10, 70)(11, 71)(12, 50)(13, 65)(14, 51)(15, 55)(16, 61)(17, 54)(18, 72)(19, 53)(20, 62)(21, 57)(22, 60)(23, 67)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.129
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y2^-1, Y3^-1), Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^4, Y1^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y1)^2, Y1^2 * Y2^-1 * Y3, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2^3 * Y3^2, Y2 * Y3^-1 * Y1^22, 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 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 6, 30, 11, 35, 7, 31, 12, 36, 19, 43, 23, 47, 20, 44, 24, 48, 15, 39, 22, 46, 14, 38, 21, 45, 13, 37, 16, 40, 4, 28, 10, 34, 3, 27, 9, 33, 17, 41, 5, 29)(49, 73, 51, 75, 61, 85, 63, 87, 67, 91, 54, 78)(50, 74, 57, 81, 64, 88, 70, 94, 71, 95, 59, 83)(52, 76, 62, 86, 68, 92, 55, 79, 56, 80, 65, 89)(53, 77, 58, 82, 69, 93, 72, 96, 60, 84, 66, 90)
	L = (1, 52)(2, 58)(3, 62)(4, 63)(5, 64)(6, 65)(7, 49)(8, 51)(9, 69)(10, 70)(11, 53)(12, 50)(13, 68)(14, 67)(15, 55)(16, 72)(17, 61)(18, 57)(19, 56)(20, 54)(21, 71)(22, 60)(23, 66)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.132
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y1^-2, (Y2, Y3^-1), Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y1^-1, Y2), (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2)^2, (Y1, Y3), Y3^2 * Y2^3, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, Y1^-24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 3, 27, 9, 33, 4, 28, 10, 34, 13, 37, 21, 45, 14, 38, 22, 46, 17, 41, 23, 47, 20, 44, 24, 48, 19, 43, 18, 42, 7, 31, 12, 36, 6, 30, 11, 35, 16, 40, 5, 29)(49, 73, 51, 75, 61, 85, 65, 89, 67, 91, 54, 78)(50, 74, 57, 81, 69, 93, 71, 95, 66, 90, 59, 83)(52, 76, 62, 86, 68, 92, 55, 79, 64, 88, 56, 80)(53, 77, 63, 87, 58, 82, 70, 94, 72, 96, 60, 84)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 57)(6, 56)(7, 49)(8, 61)(9, 70)(10, 71)(11, 63)(12, 50)(13, 68)(14, 67)(15, 69)(16, 51)(17, 55)(18, 53)(19, 64)(20, 54)(21, 72)(22, 66)(23, 60)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.130
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, Y2^6, Y2^2 * Y1^-1 * Y2 * Y3 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 6, 30, 9, 33, 15, 39, 18, 42, 14, 38, 17, 41, 22, 46, 24, 48, 19, 43, 23, 47, 20, 44, 21, 45, 11, 35, 16, 40, 12, 36, 13, 37, 3, 27, 8, 32, 4, 28, 5, 29)(49, 73, 51, 75, 59, 83, 67, 91, 62, 86, 54, 78)(50, 74, 56, 80, 64, 88, 71, 95, 65, 89, 57, 81)(52, 76, 60, 84, 68, 92, 70, 94, 63, 87, 55, 79)(53, 77, 61, 85, 69, 93, 72, 96, 66, 90, 58, 82)
	L = (1, 52)(2, 53)(3, 60)(4, 51)(5, 56)(6, 55)(7, 49)(8, 61)(9, 58)(10, 50)(11, 68)(12, 59)(13, 64)(14, 63)(15, 54)(16, 69)(17, 66)(18, 57)(19, 70)(20, 67)(21, 71)(22, 62)(23, 72)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.133
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1, Y3), (R * Y2)^2, Y2^-1 * Y1^-4, Y2^2 * Y1^-2 * Y3, Y2^6, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 6, 30, 11, 35, 14, 38, 24, 48, 20, 44, 16, 40, 4, 28, 10, 34, 22, 46, 19, 43, 7, 31, 12, 36, 13, 37, 23, 47, 21, 45, 15, 39, 3, 27, 9, 33, 17, 41, 5, 29)(49, 73, 51, 75, 61, 85, 70, 94, 68, 92, 54, 78)(50, 74, 57, 81, 71, 95, 67, 91, 64, 88, 59, 83)(52, 76, 62, 86, 56, 80, 65, 89, 69, 93, 55, 79)(53, 77, 63, 87, 60, 84, 58, 82, 72, 96, 66, 90)
	L = (1, 52)(2, 58)(3, 62)(4, 51)(5, 64)(6, 55)(7, 49)(8, 70)(9, 72)(10, 57)(11, 60)(12, 50)(13, 56)(14, 61)(15, 59)(16, 63)(17, 68)(18, 67)(19, 53)(20, 69)(21, 54)(22, 65)(23, 66)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.134
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y1^-1 * Y2^-1, Y1^-1 * Y2^2 * Y3^-1, Y2^-1 * Y3 * Y1 * Y2^-1, (Y3^-1, Y1^-1), (Y1, Y2^-1), Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^-3, Y1^-6 * Y3^-2, Y3^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 14, 38, 3, 27, 9, 33, 19, 43, 16, 40, 4, 28, 10, 34, 20, 44, 24, 48, 23, 47, 13, 37, 7, 31, 12, 36, 22, 46, 15, 39, 6, 30, 11, 35, 21, 45, 17, 41, 5, 29)(49, 73, 51, 75, 58, 82, 55, 79, 59, 83, 50, 74, 57, 81, 68, 92, 60, 84, 69, 93, 56, 80, 67, 91, 72, 96, 70, 94, 65, 89, 66, 90, 64, 88, 71, 95, 63, 87, 53, 77, 62, 86, 52, 76, 61, 85, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 64)(6, 62)(7, 49)(8, 68)(9, 55)(10, 54)(11, 51)(12, 50)(13, 53)(14, 71)(15, 66)(16, 70)(17, 67)(18, 72)(19, 60)(20, 59)(21, 57)(22, 56)(23, 65)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.127
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y3^-1 * Y1^-3, Y2^-2 * Y3^-1 * Y2^-1, (Y3, Y2^-1), (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, (Y1 * Y2^-1)^3, Y3 * Y1^-2 * Y2^-1 * Y1^-2, Y3^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 20, 44, 17, 41, 6, 30, 11, 35, 19, 43, 13, 37, 21, 45, 24, 48, 23, 47, 14, 38, 22, 46, 15, 39, 3, 27, 9, 33, 18, 42, 16, 40, 4, 28, 10, 34, 5, 29)(49, 73, 51, 75, 61, 85, 55, 79, 64, 88, 71, 95, 65, 89, 53, 77, 63, 87, 67, 91, 56, 80, 66, 90, 72, 96, 68, 92, 58, 82, 70, 94, 59, 83, 50, 74, 57, 81, 69, 93, 60, 84, 52, 76, 62, 86, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 57)(5, 64)(6, 60)(7, 49)(8, 53)(9, 70)(10, 66)(11, 68)(12, 50)(13, 54)(14, 69)(15, 71)(16, 51)(17, 55)(18, 63)(19, 65)(20, 56)(21, 59)(22, 72)(23, 61)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.128
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1, Y2^-1), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y2^3 * Y1^-1, Y3^-2 * Y2 * Y3^-1, (R * Y1)^2, (Y1, Y3^-1), Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 13, 40)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 17, 44)(7, 34, 11, 38, 18, 45)(12, 39, 20, 47, 24, 51)(14, 41, 21, 48, 25, 52)(16, 43, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 64, 91, 56, 83, 62, 89, 71, 98, 59, 86, 67, 94, 60, 87)(58, 85, 66, 93, 76, 103, 63, 90, 74, 101, 80, 107, 69, 96, 78, 105, 70, 97)(61, 88, 68, 95, 77, 104, 65, 92, 75, 102, 81, 108, 72, 99, 79, 106, 73, 100)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 74)(9, 75)(10, 76)(11, 56)(12, 77)(13, 78)(14, 57)(15, 79)(16, 61)(17, 80)(18, 59)(19, 60)(20, 81)(21, 62)(22, 65)(23, 64)(24, 73)(25, 67)(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) :: { ( 54^6 ), ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E21.177
Graph:: bipartite
	v = 12 e = 54 f = 2
	degree seq :: [ 6^9, 18^3 ]

E21.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-3 * Y1^-1, Y3^2 * Y2^-1 * Y3, (Y1, Y2), (R * Y3)^2, (Y3, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 16, 43)(6, 33, 10, 37, 12, 39)(7, 34, 11, 38, 18, 45)(13, 40, 20, 47, 26, 53)(15, 42, 21, 48, 27, 54)(17, 44, 22, 49, 24, 51)(19, 46, 23, 50, 25, 52)(55, 82, 57, 84, 66, 93, 59, 86, 68, 95, 64, 91, 56, 83, 62, 89, 60, 87)(58, 85, 67, 94, 78, 105, 70, 97, 80, 107, 76, 103, 63, 90, 74, 101, 71, 98)(61, 88, 69, 96, 79, 106, 72, 99, 81, 108, 77, 104, 65, 92, 75, 102, 73, 100)
	L = (1, 58)(2, 63)(3, 67)(4, 69)(5, 70)(6, 71)(7, 55)(8, 74)(9, 75)(10, 76)(11, 56)(12, 78)(13, 79)(14, 80)(15, 57)(16, 81)(17, 61)(18, 59)(19, 60)(20, 73)(21, 62)(22, 65)(23, 64)(24, 72)(25, 66)(26, 77)(27, 68)(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) :: { ( 54^6 ), ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E21.174
Graph:: bipartite
	v = 12 e = 54 f = 2
	degree seq :: [ 6^9, 18^3 ]

E21.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3 * Y1^-1, Y2^-1 * Y3^-3, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y3, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 13, 40)(4, 31, 9, 36, 16, 43)(6, 33, 10, 37, 18, 45)(7, 34, 11, 38, 19, 46)(12, 39, 20, 47, 24, 51)(14, 41, 21, 48, 25, 52)(15, 42, 22, 49, 26, 53)(17, 44, 23, 50, 27, 54)(55, 82, 57, 84, 64, 91, 56, 83, 62, 89, 72, 99, 59, 86, 67, 94, 60, 87)(58, 85, 66, 93, 77, 104, 63, 90, 74, 101, 81, 108, 70, 97, 78, 105, 71, 98)(61, 88, 68, 95, 76, 103, 65, 92, 75, 102, 80, 107, 73, 100, 79, 106, 69, 96)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 74)(9, 76)(10, 77)(11, 56)(12, 61)(13, 78)(14, 57)(15, 60)(16, 80)(17, 79)(18, 81)(19, 59)(20, 65)(21, 62)(22, 64)(23, 68)(24, 73)(25, 67)(26, 72)(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) :: { ( 54^6 ), ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E21.173
Graph:: bipartite
	v = 12 e = 54 f = 2
	degree seq :: [ 6^9, 18^3 ]

E21.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y1^-1), (Y3, Y2), Y2^3 * Y1, Y2^-1 * Y3^-3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y3^2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 17, 44)(6, 33, 10, 37, 12, 39)(7, 34, 11, 38, 19, 46)(13, 40, 20, 47, 26, 53)(15, 42, 21, 48, 27, 54)(16, 43, 22, 49, 25, 52)(18, 45, 23, 50, 24, 51)(55, 82, 57, 84, 66, 93, 59, 86, 68, 95, 64, 91, 56, 83, 62, 89, 60, 87)(58, 85, 67, 94, 78, 105, 71, 98, 80, 107, 77, 104, 63, 90, 74, 101, 72, 99)(61, 88, 69, 96, 79, 106, 73, 100, 81, 108, 76, 103, 65, 92, 75, 102, 70, 97)
	L = (1, 58)(2, 63)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 74)(9, 76)(10, 77)(11, 56)(12, 78)(13, 61)(14, 80)(15, 57)(16, 60)(17, 79)(18, 75)(19, 59)(20, 65)(21, 62)(22, 64)(23, 81)(24, 69)(25, 66)(26, 73)(27, 68)(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) :: { ( 54^6 ), ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E21.175
Graph:: bipartite
	v = 12 e = 54 f = 2
	degree seq :: [ 6^9, 18^3 ]

E21.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3 * Y1^-1, (Y3^-1, Y1), (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y3^2, Y2^-1 * Y3 * Y1 * Y3^2, Y2^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1, Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 13, 40)(4, 31, 9, 36, 16, 43)(6, 33, 10, 37, 18, 45)(7, 34, 11, 38, 19, 46)(12, 39, 22, 49, 26, 53)(14, 41, 23, 50, 15, 42)(17, 44, 21, 48, 25, 52)(20, 47, 24, 51, 27, 54)(55, 82, 57, 84, 64, 91, 56, 83, 62, 89, 72, 99, 59, 86, 67, 94, 60, 87)(58, 85, 66, 93, 75, 102, 63, 90, 76, 103, 79, 106, 70, 97, 80, 107, 71, 98)(61, 88, 68, 95, 78, 105, 65, 92, 77, 104, 81, 108, 73, 100, 69, 96, 74, 101)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 76)(9, 68)(10, 75)(11, 56)(12, 74)(13, 80)(14, 57)(15, 67)(16, 77)(17, 73)(18, 79)(19, 59)(20, 60)(21, 61)(22, 78)(23, 62)(24, 64)(25, 65)(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) :: { ( 54^6 ), ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E21.176
Graph:: bipartite
	v = 12 e = 54 f = 2
	degree seq :: [ 6^9, 18^3 ]

E21.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1, Y2), (Y1^-1, Y3), Y2^-3 * Y1^-1, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y3^-3 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 17, 44)(6, 33, 10, 37, 12, 39)(7, 34, 11, 38, 19, 46)(13, 40, 22, 49, 27, 54)(15, 42, 16, 43, 23, 50)(18, 45, 24, 51, 21, 48)(20, 47, 25, 52, 26, 53)(55, 82, 57, 84, 66, 93, 59, 86, 68, 95, 64, 91, 56, 83, 62, 89, 60, 87)(58, 85, 67, 94, 75, 102, 71, 98, 81, 108, 78, 105, 63, 90, 76, 103, 72, 99)(61, 88, 69, 96, 80, 107, 73, 100, 77, 104, 79, 106, 65, 92, 70, 97, 74, 101)
	L = (1, 58)(2, 63)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 76)(9, 77)(10, 78)(11, 56)(12, 75)(13, 74)(14, 81)(15, 57)(16, 62)(17, 69)(18, 65)(19, 59)(20, 60)(21, 61)(22, 79)(23, 68)(24, 73)(25, 64)(26, 66)(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) :: { ( 54^6 ), ( 54^18 ) }
Outer automorphisms :: reflexible
Dual of E21.178
Graph:: bipartite
	v = 12 e = 54 f = 2
	degree seq :: [ 6^9, 18^3 ]

E21.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y3 * Y2^-3, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y1^4 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 7, 34, 4, 31, 10, 37, 16, 43, 5, 32)(3, 30, 9, 36, 20, 47, 25, 52, 15, 42, 13, 40, 23, 50, 24, 51, 14, 41)(6, 33, 11, 38, 21, 48, 27, 54, 19, 46, 12, 39, 22, 49, 26, 53, 17, 44)(55, 82, 57, 84, 66, 93, 58, 85, 67, 94, 65, 92, 56, 83, 63, 90, 76, 103, 64, 91, 77, 104, 75, 102, 62, 89, 74, 101, 80, 107, 70, 97, 78, 105, 81, 108, 72, 99, 79, 106, 71, 98, 59, 86, 68, 95, 73, 100, 61, 88, 69, 96, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 66)(7, 55)(8, 70)(9, 77)(10, 62)(11, 76)(12, 65)(13, 63)(14, 69)(15, 57)(16, 72)(17, 73)(18, 59)(19, 60)(20, 78)(21, 80)(22, 75)(23, 74)(24, 79)(25, 68)(26, 81)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.164
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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^-2, Y2^-1 * Y3 * Y2^-2, Y2^-3 * Y3, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3), Y1 * Y3^4, Y2 * Y1 * Y3 * Y2 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 15, 42, 19, 46, 17, 44, 7, 34, 5, 32)(3, 30, 8, 35, 12, 39, 21, 48, 23, 50, 25, 52, 24, 51, 14, 41, 13, 40)(6, 33, 10, 37, 11, 38, 20, 47, 22, 49, 27, 54, 26, 53, 18, 45, 16, 43)(55, 82, 57, 84, 65, 92, 58, 85, 66, 93, 76, 103, 69, 96, 77, 104, 80, 107, 71, 98, 78, 105, 70, 97, 59, 86, 67, 94, 64, 91, 56, 83, 62, 89, 74, 101, 63, 90, 75, 102, 81, 108, 73, 100, 79, 106, 72, 99, 61, 88, 68, 95, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 56)(6, 65)(7, 55)(8, 75)(9, 73)(10, 74)(11, 76)(12, 77)(13, 62)(14, 57)(15, 71)(16, 64)(17, 59)(18, 60)(19, 61)(20, 81)(21, 79)(22, 80)(23, 78)(24, 67)(25, 68)(26, 70)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.169
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-2, Y2 * Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, (Y1^-1, Y2^-1), Y1^-4 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1^2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 19, 46, 7, 34, 4, 31, 10, 37, 17, 44, 5, 32)(3, 30, 9, 36, 20, 47, 26, 53, 15, 42, 13, 40, 22, 49, 25, 52, 14, 41)(6, 33, 11, 38, 21, 48, 24, 51, 12, 39, 16, 43, 23, 50, 27, 54, 18, 45)(55, 82, 57, 84, 66, 93, 61, 88, 69, 96, 72, 99, 59, 86, 68, 95, 78, 105, 73, 100, 80, 107, 81, 108, 71, 98, 79, 106, 75, 102, 62, 89, 74, 101, 77, 104, 64, 91, 76, 103, 65, 92, 56, 83, 63, 90, 70, 97, 58, 85, 67, 94, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 70)(7, 55)(8, 71)(9, 76)(10, 62)(11, 77)(12, 60)(13, 63)(14, 69)(15, 57)(16, 65)(17, 73)(18, 66)(19, 59)(20, 79)(21, 81)(22, 74)(23, 75)(24, 72)(25, 80)(26, 68)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.166
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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 * Y1^2, Y2^3 * Y3, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y3^4, Y2 * Y3^2 * Y2^-1 * Y3^-2, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 15, 42, 19, 46, 18, 45, 7, 34, 5, 32)(3, 30, 8, 35, 12, 39, 20, 47, 24, 51, 26, 53, 25, 52, 14, 41, 13, 40)(6, 33, 10, 37, 16, 43, 21, 48, 27, 54, 23, 50, 22, 49, 11, 38, 17, 44)(55, 82, 57, 84, 65, 92, 61, 88, 68, 95, 77, 104, 73, 100, 80, 107, 75, 102, 63, 90, 74, 101, 64, 91, 56, 83, 62, 89, 71, 98, 59, 86, 67, 94, 76, 103, 72, 99, 79, 106, 81, 108, 69, 96, 78, 105, 70, 97, 58, 85, 66, 93, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 56)(6, 70)(7, 55)(8, 74)(9, 73)(10, 75)(11, 60)(12, 78)(13, 62)(14, 57)(15, 72)(16, 81)(17, 64)(18, 59)(19, 61)(20, 80)(21, 77)(22, 71)(23, 65)(24, 79)(25, 67)(26, 68)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.171
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2^-1, Y1), Y2 * Y1 * Y2^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y1^-1 * Y3^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 15, 42, 19, 46, 17, 44, 7, 34, 5, 32)(3, 30, 8, 35, 12, 39, 20, 47, 23, 50, 25, 52, 24, 51, 14, 41, 13, 40)(6, 33, 10, 37, 16, 43, 21, 48, 26, 53, 27, 54, 22, 49, 18, 45, 11, 38)(55, 82, 57, 84, 65, 92, 59, 86, 67, 94, 72, 99, 61, 88, 68, 95, 76, 103, 71, 98, 78, 105, 81, 108, 73, 100, 79, 106, 80, 107, 69, 96, 77, 104, 75, 102, 63, 90, 74, 101, 70, 97, 58, 85, 66, 93, 64, 91, 56, 83, 62, 89, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 56)(6, 70)(7, 55)(8, 74)(9, 73)(10, 75)(11, 64)(12, 77)(13, 62)(14, 57)(15, 71)(16, 80)(17, 59)(18, 60)(19, 61)(20, 79)(21, 81)(22, 65)(23, 78)(24, 67)(25, 68)(26, 76)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.168
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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, (Y1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3), Y2^-2 * Y1^2 * Y2^-1, Y3 * Y1 * Y3 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^3 * Y3 * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 19, 46, 7, 34, 4, 31, 10, 37, 17, 44, 5, 32)(3, 30, 9, 36, 22, 49, 27, 54, 15, 42, 13, 40, 24, 51, 20, 47, 14, 41)(6, 33, 11, 38, 12, 39, 23, 50, 21, 48, 16, 43, 25, 52, 26, 53, 18, 45)(55, 82, 57, 84, 66, 93, 62, 89, 76, 103, 75, 102, 61, 88, 69, 96, 79, 106, 64, 91, 78, 105, 72, 99, 59, 86, 68, 95, 65, 92, 56, 83, 63, 90, 77, 104, 73, 100, 81, 108, 70, 97, 58, 85, 67, 94, 80, 107, 71, 98, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 70)(7, 55)(8, 71)(9, 78)(10, 62)(11, 79)(12, 80)(13, 63)(14, 69)(15, 57)(16, 65)(17, 73)(18, 75)(19, 59)(20, 81)(21, 60)(22, 74)(23, 72)(24, 76)(25, 66)(26, 77)(27, 68)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.161
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y2^3 * Y1^-1, (R * Y2)^2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, Y1 * Y3^4, Y1 * Y2 * Y3^-2 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 14, 41, 19, 46, 17, 44, 7, 34, 5, 32)(3, 30, 8, 35, 11, 38, 20, 47, 22, 49, 24, 51, 23, 50, 13, 40, 12, 39)(6, 33, 10, 37, 15, 42, 21, 48, 25, 52, 27, 54, 26, 53, 18, 45, 16, 43)(55, 82, 57, 84, 64, 91, 56, 83, 62, 89, 69, 96, 58, 85, 65, 92, 75, 102, 63, 90, 74, 101, 79, 106, 68, 95, 76, 103, 81, 108, 73, 100, 78, 105, 80, 107, 71, 98, 77, 104, 72, 99, 61, 88, 67, 94, 70, 97, 59, 86, 66, 93, 60, 87)
	L = (1, 58)(2, 63)(3, 65)(4, 68)(5, 56)(6, 69)(7, 55)(8, 74)(9, 73)(10, 75)(11, 76)(12, 62)(13, 57)(14, 71)(15, 79)(16, 64)(17, 59)(18, 60)(19, 61)(20, 78)(21, 81)(22, 77)(23, 66)(24, 67)(25, 80)(26, 70)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.170
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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, (Y2^-1, Y3^-1), (Y2, Y3), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y1^3 * Y3 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 19, 46, 7, 34, 4, 31, 10, 37, 17, 44, 5, 32)(3, 30, 9, 36, 20, 47, 25, 52, 15, 42, 13, 40, 23, 50, 27, 54, 14, 41)(6, 33, 11, 38, 22, 49, 26, 53, 21, 48, 16, 43, 24, 51, 12, 39, 18, 45)(55, 82, 57, 84, 66, 93, 71, 98, 81, 108, 70, 97, 58, 85, 67, 94, 80, 107, 73, 100, 79, 106, 65, 92, 56, 83, 63, 90, 72, 99, 59, 86, 68, 95, 78, 105, 64, 91, 77, 104, 75, 102, 61, 88, 69, 96, 76, 103, 62, 89, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 70)(7, 55)(8, 71)(9, 77)(10, 62)(11, 78)(12, 80)(13, 63)(14, 69)(15, 57)(16, 65)(17, 73)(18, 75)(19, 59)(20, 81)(21, 60)(22, 66)(23, 74)(24, 76)(25, 68)(26, 72)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.163
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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^-1 * Y3, Y2^3 * Y1^-1, Y1 * Y2^-3, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^4, Y2^2 * Y3 * Y2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 7, 34, 4, 31, 10, 37, 16, 43, 5, 32)(3, 30, 9, 36, 20, 47, 25, 52, 14, 41, 12, 39, 22, 49, 24, 51, 13, 40)(6, 33, 11, 38, 21, 48, 27, 54, 19, 46, 15, 42, 23, 50, 26, 53, 17, 44)(55, 82, 57, 84, 65, 92, 56, 83, 63, 90, 75, 102, 62, 89, 74, 101, 81, 108, 72, 99, 79, 106, 73, 100, 61, 88, 68, 95, 69, 96, 58, 85, 66, 93, 77, 104, 64, 91, 76, 103, 80, 107, 70, 97, 78, 105, 71, 98, 59, 86, 67, 94, 60, 87)
	L = (1, 58)(2, 64)(3, 66)(4, 56)(5, 61)(6, 69)(7, 55)(8, 70)(9, 76)(10, 62)(11, 77)(12, 63)(13, 68)(14, 57)(15, 65)(16, 72)(17, 73)(18, 59)(19, 60)(20, 78)(21, 80)(22, 74)(23, 75)(24, 79)(25, 67)(26, 81)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.162
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (Y1, Y2), (R * Y2)^2, Y2^3 * Y3^-2, Y2 * Y3^-1 * Y2^2 * Y3^-1, Y1 * Y3^4, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 15, 42, 21, 48, 18, 45, 7, 34, 5, 32)(3, 30, 8, 35, 12, 39, 23, 50, 27, 54, 19, 46, 25, 52, 14, 41, 13, 40)(6, 33, 10, 37, 16, 43, 24, 51, 11, 38, 22, 49, 26, 53, 20, 47, 17, 44)(55, 82, 57, 84, 65, 92, 69, 96, 81, 108, 71, 98, 59, 86, 67, 94, 78, 105, 63, 90, 77, 104, 74, 101, 61, 88, 68, 95, 70, 97, 58, 85, 66, 93, 80, 107, 72, 99, 79, 106, 64, 91, 56, 83, 62, 89, 76, 103, 75, 102, 73, 100, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 56)(6, 70)(7, 55)(8, 77)(9, 75)(10, 78)(11, 80)(12, 81)(13, 62)(14, 57)(15, 72)(16, 65)(17, 64)(18, 59)(19, 68)(20, 60)(21, 61)(22, 74)(23, 73)(24, 76)(25, 67)(26, 71)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.167
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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 * Y3^2, (Y2^-1, Y3^-1), (Y2, Y1^-1), Y2 * Y1 * Y2^2, (R * Y1)^2, (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y1^3 * Y3 * Y1, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, (Y2^-1 * Y3)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 7, 34, 4, 31, 10, 37, 17, 44, 5, 32)(3, 30, 9, 36, 20, 47, 27, 54, 15, 42, 13, 40, 22, 49, 26, 53, 14, 41)(6, 33, 11, 38, 21, 48, 25, 52, 19, 46, 16, 43, 23, 50, 24, 51, 12, 39)(55, 82, 57, 84, 66, 93, 59, 86, 68, 95, 78, 105, 71, 98, 80, 107, 77, 104, 64, 91, 76, 103, 70, 97, 58, 85, 67, 94, 73, 100, 61, 88, 69, 96, 79, 106, 72, 99, 81, 108, 75, 102, 62, 89, 74, 101, 65, 92, 56, 83, 63, 90, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 70)(7, 55)(8, 71)(9, 76)(10, 62)(11, 77)(12, 73)(13, 63)(14, 69)(15, 57)(16, 65)(17, 72)(18, 59)(19, 60)(20, 80)(21, 78)(22, 74)(23, 75)(24, 79)(25, 66)(26, 81)(27, 68)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.165
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^-3 * Y3^-2, Y1 * Y3^4, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 15, 42, 21, 48, 18, 45, 7, 34, 5, 32)(3, 30, 8, 35, 12, 39, 23, 50, 19, 46, 25, 52, 27, 54, 14, 41, 13, 40)(6, 33, 10, 37, 16, 43, 24, 51, 26, 53, 11, 38, 22, 49, 20, 47, 17, 44)(55, 82, 57, 84, 65, 92, 75, 102, 79, 106, 64, 91, 56, 83, 62, 89, 76, 103, 72, 99, 81, 108, 70, 97, 58, 85, 66, 93, 74, 101, 61, 88, 68, 95, 78, 105, 63, 90, 77, 104, 71, 98, 59, 86, 67, 94, 80, 107, 69, 96, 73, 100, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 56)(6, 70)(7, 55)(8, 77)(9, 75)(10, 78)(11, 74)(12, 73)(13, 62)(14, 57)(15, 72)(16, 80)(17, 64)(18, 59)(19, 81)(20, 60)(21, 61)(22, 71)(23, 79)(24, 65)(25, 68)(26, 76)(27, 67)(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) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.172
Graph:: bipartite
	v = 4 e = 54 f = 10
	degree seq :: [ 18^3, 54 ]

E21.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2, Y3^-1), Y1^-1 * Y3 * Y1^-2, Y3^3 * Y2^-1, (Y1, Y3), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y3 * Y1 * Y2^-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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 21, 48, 15, 42, 24, 51, 14, 41, 3, 30, 9, 36, 20, 47, 13, 40, 23, 50, 27, 54, 19, 46, 26, 53, 17, 44, 6, 33, 11, 38, 22, 49, 16, 43, 25, 52, 18, 45, 7, 34, 12, 39, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 70, 97)(59, 86, 68, 95, 71, 98)(61, 88, 69, 96, 73, 100)(62, 89, 74, 101, 76, 103)(64, 91, 77, 104, 79, 106)(66, 93, 78, 105, 80, 107)(72, 99, 75, 102, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 62)(6, 70)(7, 55)(8, 75)(9, 77)(10, 78)(11, 79)(12, 56)(13, 73)(14, 74)(15, 57)(16, 61)(17, 76)(18, 59)(19, 60)(20, 81)(21, 68)(22, 72)(23, 80)(24, 63)(25, 66)(26, 65)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.154
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3 * Y2^-1, Y3^-1 * Y1^-3, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 22, 49, 17, 44, 25, 52, 18, 45, 6, 33, 11, 38, 21, 48, 19, 46, 26, 53, 27, 54, 13, 40, 23, 50, 14, 41, 3, 30, 9, 36, 20, 47, 15, 42, 24, 51, 16, 43, 4, 31, 10, 37, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 71, 98)(59, 86, 68, 95, 72, 99)(61, 88, 69, 96, 73, 100)(62, 89, 74, 101, 75, 102)(64, 91, 77, 104, 79, 106)(66, 93, 78, 105, 80, 107)(70, 97, 81, 108, 76, 103)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 71)(7, 55)(8, 59)(9, 77)(10, 78)(11, 79)(12, 56)(13, 73)(14, 81)(15, 57)(16, 74)(17, 61)(18, 76)(19, 60)(20, 68)(21, 72)(22, 62)(23, 80)(24, 63)(25, 66)(26, 65)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.157
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y3^-3, (Y2, Y3), (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, Y1^2 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 24, 51, 26, 53, 13, 40, 23, 50, 19, 46, 6, 33, 11, 38, 20, 47, 7, 34, 12, 39, 16, 43, 4, 31, 10, 37, 14, 41, 3, 30, 9, 36, 22, 49, 21, 48, 25, 52, 27, 54, 17, 44, 18, 45, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 71, 98)(59, 86, 68, 95, 73, 100)(61, 88, 69, 96, 75, 102)(62, 89, 76, 103, 74, 101)(64, 91, 77, 104, 72, 99)(66, 93, 78, 105, 79, 106)(70, 97, 80, 107, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 71)(7, 55)(8, 68)(9, 77)(10, 78)(11, 72)(12, 56)(13, 75)(14, 80)(15, 57)(16, 62)(17, 61)(18, 66)(19, 81)(20, 59)(21, 60)(22, 73)(23, 79)(24, 63)(25, 65)(26, 76)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.156
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2^-1), Y3^-3 * Y2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^3 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 24, 51, 27, 54, 21, 48, 25, 52, 14, 41, 3, 30, 9, 36, 16, 43, 4, 31, 10, 37, 20, 47, 7, 34, 12, 39, 19, 46, 6, 33, 11, 38, 22, 49, 13, 40, 23, 50, 26, 53, 15, 42, 18, 45, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 71, 98)(59, 86, 68, 95, 73, 100)(61, 88, 69, 96, 75, 102)(62, 89, 70, 97, 76, 103)(64, 91, 77, 104, 78, 105)(66, 93, 72, 99, 79, 106)(74, 101, 80, 107, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 71)(7, 55)(8, 74)(9, 77)(10, 72)(11, 78)(12, 56)(13, 75)(14, 76)(15, 57)(16, 80)(17, 61)(18, 63)(19, 62)(20, 59)(21, 60)(22, 81)(23, 79)(24, 66)(25, 65)(26, 68)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.149
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3 * Y2^-1, (Y3, Y2), (Y1^-1, Y3^-1), (R * Y3)^2, (Y1, Y2), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^3 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y1^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 13, 40, 24, 51, 20, 47, 7, 34, 12, 39, 14, 41, 3, 30, 9, 36, 22, 49, 17, 44, 26, 53, 27, 54, 15, 42, 25, 52, 19, 46, 6, 33, 11, 38, 16, 43, 4, 31, 10, 37, 23, 50, 21, 48, 18, 45, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 71, 98)(59, 86, 68, 95, 73, 100)(61, 88, 69, 96, 75, 102)(62, 89, 76, 103, 70, 97)(64, 91, 78, 105, 80, 107)(66, 93, 79, 106, 72, 99)(74, 101, 81, 108, 77, 104)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 71)(7, 55)(8, 77)(9, 78)(10, 79)(11, 80)(12, 56)(13, 75)(14, 62)(15, 57)(16, 81)(17, 61)(18, 65)(19, 76)(20, 59)(21, 60)(22, 74)(23, 73)(24, 72)(25, 63)(26, 66)(27, 68)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.159
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3 * Y2^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y1^-1), Y1 * Y3 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^2 * Y1 * Y2^-1 * Y3, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2, 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, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 21, 48, 26, 53, 16, 43, 4, 31, 10, 37, 19, 46, 6, 33, 11, 38, 22, 49, 15, 42, 24, 51, 27, 54, 17, 44, 25, 52, 14, 41, 3, 30, 9, 36, 20, 47, 7, 34, 12, 39, 23, 50, 13, 40, 18, 45, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 71, 98)(59, 86, 68, 95, 73, 100)(61, 88, 69, 96, 75, 102)(62, 89, 74, 101, 76, 103)(64, 91, 72, 99, 79, 106)(66, 93, 78, 105, 80, 107)(70, 97, 77, 104, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 71)(7, 55)(8, 73)(9, 72)(10, 78)(11, 79)(12, 56)(13, 75)(14, 77)(15, 57)(16, 76)(17, 61)(18, 80)(19, 81)(20, 59)(21, 60)(22, 68)(23, 62)(24, 63)(25, 66)(26, 65)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.151
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^-3, (Y1, Y2^-1), Y1^3 * Y3, (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y3^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 7, 34, 12, 39, 22, 49, 13, 40, 23, 50, 14, 41, 3, 30, 9, 36, 20, 47, 15, 42, 24, 51, 27, 54, 18, 45, 26, 53, 19, 46, 6, 33, 11, 38, 21, 48, 16, 43, 25, 52, 17, 44, 4, 31, 10, 37, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 72, 99)(59, 86, 68, 95, 73, 100)(61, 88, 69, 96, 70, 97)(62, 89, 74, 101, 75, 102)(64, 91, 77, 104, 80, 107)(66, 93, 78, 105, 79, 106)(71, 98, 76, 103, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 59)(9, 77)(10, 79)(11, 80)(12, 56)(13, 61)(14, 76)(15, 57)(16, 60)(17, 75)(18, 69)(19, 81)(20, 68)(21, 73)(22, 62)(23, 66)(24, 63)(25, 65)(26, 78)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.158
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2^-1, Y3^-1), Y2^-1 * Y3^-3, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-3, (Y2^-1, Y1^-1), (Y3^-1, Y1), (R * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^9, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 21, 48, 16, 43, 25, 52, 18, 45, 6, 33, 11, 38, 22, 49, 17, 44, 26, 53, 27, 54, 15, 42, 24, 51, 14, 41, 3, 30, 9, 36, 20, 47, 13, 40, 23, 50, 19, 46, 7, 34, 12, 39, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 71, 98)(59, 86, 68, 95, 72, 99)(61, 88, 69, 96, 70, 97)(62, 89, 74, 101, 76, 103)(64, 91, 77, 104, 80, 107)(66, 93, 78, 105, 79, 106)(73, 100, 81, 108, 75, 102)
	L = (1, 58)(2, 64)(3, 67)(4, 70)(5, 62)(6, 71)(7, 55)(8, 75)(9, 77)(10, 79)(11, 80)(12, 56)(13, 61)(14, 74)(15, 57)(16, 60)(17, 69)(18, 76)(19, 59)(20, 73)(21, 72)(22, 81)(23, 66)(24, 63)(25, 65)(26, 78)(27, 68)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.153
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-3 * Y2^-1, (Y1^-1, Y3^-1), (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^-1 * Y1^2 * Y2^-1, Y1 * Y3^2 * Y1^2, Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 13, 40, 23, 50, 26, 53, 15, 42, 24, 51, 20, 47, 6, 33, 11, 38, 17, 44, 4, 31, 10, 37, 21, 48, 7, 34, 12, 39, 14, 41, 3, 30, 9, 36, 22, 49, 18, 45, 25, 52, 27, 54, 16, 43, 19, 46, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 72, 99)(59, 86, 68, 95, 74, 101)(61, 88, 69, 96, 70, 97)(62, 89, 76, 103, 71, 98)(64, 91, 77, 104, 79, 106)(66, 93, 78, 105, 73, 100)(75, 102, 80, 107, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 75)(9, 77)(10, 73)(11, 79)(12, 56)(13, 61)(14, 62)(15, 57)(16, 60)(17, 81)(18, 69)(19, 65)(20, 76)(21, 59)(22, 80)(23, 66)(24, 63)(25, 78)(26, 68)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.150
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y3^-3, (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y2)^2, Y3 * Y1 * Y2 * Y1^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, (Y2^-1 * Y3)^9, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 24, 51, 27, 54, 18, 45, 25, 52, 14, 41, 3, 30, 9, 36, 21, 48, 7, 34, 12, 39, 17, 44, 4, 31, 10, 37, 20, 47, 6, 33, 11, 38, 22, 49, 15, 42, 23, 50, 26, 53, 13, 40, 19, 46, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 72, 99)(59, 86, 68, 95, 74, 101)(61, 88, 69, 96, 70, 97)(62, 89, 75, 102, 76, 103)(64, 91, 73, 100, 79, 106)(66, 93, 77, 104, 78, 105)(71, 98, 80, 107, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 74)(9, 73)(10, 78)(11, 79)(12, 56)(13, 61)(14, 80)(15, 57)(16, 60)(17, 62)(18, 69)(19, 66)(20, 81)(21, 59)(22, 68)(23, 63)(24, 65)(25, 77)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.155
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-3 * Y2^-1, (Y3, Y2), (R * Y2)^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), Y2^-1 * Y1^2 * Y3 * Y1, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1 * Y2 * Y3, (Y3^-1 * Y2)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 25, 52, 17, 44, 4, 31, 10, 37, 14, 41, 3, 30, 9, 36, 22, 49, 16, 43, 26, 53, 27, 54, 13, 40, 24, 51, 20, 47, 6, 33, 11, 38, 21, 48, 7, 34, 12, 39, 23, 50, 18, 45, 19, 46, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 72, 99)(59, 86, 68, 95, 74, 101)(61, 88, 69, 96, 70, 97)(62, 89, 76, 103, 75, 102)(64, 91, 78, 105, 73, 100)(66, 93, 79, 106, 80, 107)(71, 98, 81, 108, 77, 104)
	L = (1, 58)(2, 64)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 68)(9, 78)(10, 80)(11, 73)(12, 56)(13, 61)(14, 81)(15, 57)(16, 60)(17, 76)(18, 69)(19, 79)(20, 77)(21, 59)(22, 74)(23, 62)(24, 66)(25, 63)(26, 65)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.152
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3 * Y2, (Y3, Y2), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y2)^2, Y2 * Y3^-2 * Y2 * Y3^-1, Y2 * Y1^3 * Y3^-1, Y2 * Y1 * Y3^-1 * Y1^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 18, 45, 26, 53, 21, 48, 7, 34, 12, 39, 20, 47, 6, 33, 11, 38, 23, 50, 13, 40, 24, 51, 27, 54, 16, 43, 25, 52, 14, 41, 3, 30, 9, 36, 17, 44, 4, 31, 10, 37, 22, 49, 15, 42, 19, 46, 5, 32)(55, 82, 57, 84, 60, 87)(56, 83, 63, 90, 65, 92)(58, 85, 67, 94, 72, 99)(59, 86, 68, 95, 74, 101)(61, 88, 69, 96, 70, 97)(62, 89, 71, 98, 77, 104)(64, 91, 78, 105, 80, 107)(66, 93, 73, 100, 79, 106)(75, 102, 76, 103, 81, 108)
	L = (1, 58)(2, 64)(3, 67)(4, 70)(5, 71)(6, 72)(7, 55)(8, 76)(9, 78)(10, 79)(11, 80)(12, 56)(13, 61)(14, 77)(15, 57)(16, 60)(17, 81)(18, 69)(19, 63)(20, 62)(21, 59)(22, 68)(23, 75)(24, 66)(25, 65)(26, 73)(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) :: { ( 18, 54, 18, 54, 18, 54 ), ( 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54, 18, 54 ) }
Outer automorphisms :: reflexible
Dual of E21.160
Graph:: bipartite
	v = 10 e = 54 f = 4
	degree seq :: [ 6^9, 54 ]

E21.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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, Y1), (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1^-1 * Y3 * Y2^-1, Y3^-1 * Y1^-4, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 19, 46, 7, 34, 11, 38, 23, 50, 27, 54, 21, 48, 16, 43, 12, 39, 24, 51, 18, 45, 6, 33, 3, 30, 9, 36, 22, 49, 20, 47, 13, 40, 14, 41, 25, 52, 26, 53, 15, 42, 4, 31, 10, 37, 17, 44, 5, 32)(55, 82, 57, 84, 56, 83, 63, 90, 62, 89, 76, 103, 73, 100, 74, 101, 61, 88, 67, 94, 65, 92, 68, 95, 77, 104, 79, 106, 81, 108, 80, 107, 75, 102, 69, 96, 70, 97, 58, 85, 66, 93, 64, 91, 78, 105, 71, 98, 72, 99, 59, 86, 60, 87)
	L = (1, 58)(2, 64)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 71)(9, 78)(10, 79)(11, 56)(12, 77)(13, 57)(14, 63)(15, 67)(16, 65)(17, 80)(18, 75)(19, 59)(20, 60)(21, 61)(22, 72)(23, 62)(24, 81)(25, 76)(26, 74)(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) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.145
Graph:: bipartite
	v = 2 e = 54 f = 12
	degree seq :: [ 54^2 ]

E21.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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 * Y1^2, (Y1^-1, Y2^-1), (R * Y2)^2, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1, Y2^3 * Y1 * Y2, Y2^-1 * Y1^-1 * Y3^-3, (Y2^-1 * Y3)^3, Y1 * Y2^-1 * Y3^2 * Y2^2 * Y3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31, 9, 36, 15, 42, 20, 47, 17, 44, 6, 33, 10, 37, 16, 43, 22, 49, 25, 52, 24, 51, 11, 38, 19, 46, 23, 50, 27, 54, 26, 53, 14, 41, 13, 40, 3, 30, 8, 35, 12, 39, 21, 48, 18, 45, 7, 34, 5, 32)(55, 82, 57, 84, 65, 92, 71, 98, 59, 86, 67, 94, 78, 105, 74, 101, 61, 88, 68, 95, 79, 106, 69, 96, 72, 99, 80, 107, 76, 103, 63, 90, 75, 102, 81, 108, 70, 97, 58, 85, 66, 93, 77, 104, 64, 91, 56, 83, 62, 89, 73, 100, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 69)(5, 56)(6, 70)(7, 55)(8, 75)(9, 74)(10, 76)(11, 77)(12, 72)(13, 62)(14, 57)(15, 71)(16, 79)(17, 64)(18, 59)(19, 81)(20, 60)(21, 61)(22, 78)(23, 80)(24, 73)(25, 65)(26, 67)(27, 68)(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) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.144
Graph:: bipartite
	v = 2 e = 54 f = 12
	degree seq :: [ 54^2 ]

E21.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1), (Y2, Y3^-1), (Y3, Y1^-1), Y3 * Y2^2 * Y1 * Y2, Y2^-2 * Y1 * Y3 * Y1, Y3^4 * Y1, Y1 * Y2 * Y1 * Y3^-2, Y3 * Y1 * Y2^3, Y3 * Y2 * Y1^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 26, 53, 14, 41, 23, 50, 22, 49, 7, 34, 12, 39, 19, 46, 15, 42, 3, 30, 9, 36, 17, 44, 25, 52, 21, 48, 6, 33, 11, 38, 16, 43, 18, 45, 4, 31, 10, 37, 13, 40, 24, 51, 27, 54, 20, 47, 5, 32)(55, 82, 57, 84, 67, 94, 76, 103, 65, 92, 56, 83, 63, 90, 78, 105, 61, 88, 70, 97, 62, 89, 71, 98, 81, 108, 66, 93, 72, 99, 80, 107, 79, 106, 74, 101, 73, 100, 58, 85, 68, 95, 75, 102, 59, 86, 69, 96, 64, 91, 77, 104, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 73)(7, 55)(8, 67)(9, 77)(10, 79)(11, 69)(12, 56)(13, 75)(14, 81)(15, 80)(16, 57)(17, 76)(18, 63)(19, 62)(20, 70)(21, 66)(22, 59)(23, 74)(24, 60)(25, 61)(26, 78)(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) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.146
Graph:: bipartite
	v = 2 e = 54 f = 12
	degree seq :: [ 54^2 ]

E21.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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 * Y3^-1, Y1^-1 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-3, Y2^-2 * Y3^3 * Y2^-1, (Y3 * Y2^-1)^3, Y1 * Y3^2 * Y1 * Y3^3, (Y3^-1 * Y1^-1)^9, Y3 * Y1 * Y2^22 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 6, 33, 4, 31, 10, 37, 20, 47, 18, 45, 14, 41, 13, 40, 22, 49, 27, 54, 25, 52, 24, 51, 23, 50, 26, 53, 19, 46, 12, 39, 11, 38, 21, 48, 17, 44, 7, 34, 3, 30, 9, 36, 15, 42, 5, 32)(55, 82, 57, 84, 65, 92, 77, 104, 76, 103, 74, 101, 70, 97, 59, 86, 61, 88, 66, 93, 78, 105, 67, 94, 64, 91, 62, 89, 69, 96, 71, 98, 73, 100, 79, 106, 68, 95, 58, 85, 56, 83, 63, 90, 75, 102, 80, 107, 81, 108, 72, 99, 60, 87)
	L = (1, 58)(2, 64)(3, 56)(4, 67)(5, 60)(6, 68)(7, 55)(8, 74)(9, 62)(10, 76)(11, 63)(12, 57)(13, 77)(14, 78)(15, 70)(16, 72)(17, 59)(18, 79)(19, 61)(20, 81)(21, 69)(22, 80)(23, 75)(24, 65)(25, 66)(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) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.147
Graph:: bipartite
	v = 2 e = 54 f = 12
	degree seq :: [ 54^2 ]

E21.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 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 * Y3^2, (Y2, Y1), (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-5, (Y1 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 14, 41, 3, 30, 9, 36, 23, 50, 21, 48, 16, 43, 12, 39, 26, 53, 19, 46, 7, 34, 4, 31, 10, 37, 24, 51, 20, 47, 15, 42, 13, 40, 27, 54, 18, 45, 6, 33, 11, 38, 25, 52, 17, 44, 5, 32)(55, 82, 57, 84, 66, 93, 64, 91, 81, 108, 71, 98, 76, 103, 75, 102, 61, 88, 69, 96, 65, 92, 56, 83, 63, 90, 80, 107, 78, 105, 72, 99, 59, 86, 68, 95, 70, 97, 58, 85, 67, 94, 79, 106, 62, 89, 77, 104, 73, 100, 74, 101, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 56)(5, 61)(6, 70)(7, 55)(8, 78)(9, 81)(10, 62)(11, 66)(12, 79)(13, 63)(14, 69)(15, 57)(16, 65)(17, 73)(18, 75)(19, 59)(20, 68)(21, 60)(22, 74)(23, 72)(24, 76)(25, 80)(26, 71)(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) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.143
Graph:: bipartite
	v = 2 e = 54 f = 12
	degree seq :: [ 54^2 ]

E21.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 9, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y3, Y1), (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^2 * Y2, Y2 * Y3 * Y2 * Y3 * Y1, Y3^3 * Y2^-3, Y2^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 3, 30, 8, 35, 11, 38, 21, 48, 23, 50, 25, 52, 27, 54, 16, 43, 15, 42, 4, 31, 9, 36, 12, 39, 20, 47, 18, 45, 7, 34, 10, 37, 13, 40, 22, 49, 24, 51, 26, 53, 14, 41, 19, 46, 17, 44, 6, 33, 5, 32)(55, 82, 57, 84, 65, 92, 77, 104, 81, 108, 69, 96, 63, 90, 74, 101, 61, 88, 67, 94, 78, 105, 68, 95, 71, 98, 59, 86, 56, 83, 62, 89, 75, 102, 79, 106, 70, 97, 58, 85, 66, 93, 72, 99, 64, 91, 76, 103, 80, 107, 73, 100, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 70)(7, 55)(8, 74)(9, 73)(10, 56)(11, 72)(12, 71)(13, 57)(14, 77)(15, 80)(16, 78)(17, 81)(18, 59)(19, 79)(20, 60)(21, 61)(22, 62)(23, 64)(24, 65)(25, 67)(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) :: { ( 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.148
Graph:: bipartite
	v = 2 e = 54 f = 12
	degree seq :: [ 54^2 ]

E21.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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^-1, (Y3^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^4, (Y2^-1, Y1^-1), Y2^7, (Y3 * Y2^-1)^7, Y3^-28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 5, 33)(3, 31, 7, 35, 13, 41, 10, 38)(4, 32, 8, 36, 14, 42, 12, 40)(9, 37, 15, 43, 21, 49, 18, 46)(11, 39, 16, 44, 22, 50, 20, 48)(17, 45, 23, 51, 27, 55, 25, 53)(19, 47, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 75, 103, 67, 95, 60, 88)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(61, 89, 66, 94, 74, 102, 81, 109, 82, 110, 76, 104, 68, 96)(62, 90, 69, 97, 77, 105, 83, 111, 84, 112, 78, 106, 70, 98)
	L = (1, 60)(2, 64)(3, 57)(4, 67)(5, 68)(6, 70)(7, 58)(8, 72)(9, 59)(10, 61)(11, 75)(12, 76)(13, 62)(14, 78)(15, 63)(16, 80)(17, 65)(18, 66)(19, 73)(20, 82)(21, 69)(22, 84)(23, 71)(24, 79)(25, 74)(26, 81)(27, 77)(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) :: { ( 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 E21.190
Graph:: bipartite
	v = 11 e = 56 f = 5
	degree seq :: [ 8^7, 14^4 ]

E21.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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^-1, Y2 * Y3^3, (R * Y3)^2, (Y1, Y2^-1), Y2 * Y3^3, (Y1, Y3^-1), (R * Y1)^2, Y1^4, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 19, 47, 14, 42)(4, 32, 10, 38, 20, 48, 16, 44)(6, 34, 11, 39, 21, 49, 17, 45)(7, 35, 12, 40, 22, 50, 18, 46)(13, 41, 23, 51, 27, 55, 25, 53)(15, 43, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 60, 88, 69, 97, 71, 99, 63, 91, 62, 90)(58, 86, 65, 93, 66, 94, 79, 107, 80, 108, 68, 96, 67, 95)(61, 89, 70, 98, 72, 100, 81, 109, 82, 110, 74, 102, 73, 101)(64, 92, 75, 103, 76, 104, 83, 111, 84, 112, 78, 106, 77, 105)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 59)(7, 57)(8, 76)(9, 79)(10, 80)(11, 65)(12, 58)(13, 63)(14, 81)(15, 62)(16, 82)(17, 70)(18, 61)(19, 83)(20, 84)(21, 75)(22, 64)(23, 68)(24, 67)(25, 74)(26, 73)(27, 78)(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) :: { ( 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 E21.191
Graph:: bipartite
	v = 11 e = 56 f = 5
	degree seq :: [ 8^7, 14^4 ]

E21.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (R * Y3)^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-3, Y1^4, 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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 19, 47, 13, 41)(4, 32, 10, 38, 20, 48, 15, 43)(6, 34, 11, 39, 21, 49, 17, 45)(7, 35, 12, 40, 22, 50, 18, 46)(14, 42, 23, 51, 27, 55, 25, 53)(16, 44, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 63, 91, 70, 98, 72, 100, 60, 88, 62, 90)(58, 86, 65, 93, 68, 96, 79, 107, 80, 108, 66, 94, 67, 95)(61, 89, 69, 97, 74, 102, 81, 109, 82, 110, 71, 99, 73, 101)(64, 92, 75, 103, 78, 106, 83, 111, 84, 112, 76, 104, 77, 105)
	L = (1, 60)(2, 66)(3, 62)(4, 70)(5, 71)(6, 72)(7, 57)(8, 76)(9, 67)(10, 79)(11, 80)(12, 58)(13, 73)(14, 59)(15, 81)(16, 63)(17, 82)(18, 61)(19, 77)(20, 83)(21, 84)(22, 64)(23, 65)(24, 68)(25, 69)(26, 74)(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) :: { ( 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 E21.189
Graph:: bipartite
	v = 11 e = 56 f = 5
	degree seq :: [ 8^7, 14^4 ]

E21.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (Y2^-1, Y1), (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-2 * Y3 * Y2^-1, 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 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 19, 47, 14, 42)(4, 32, 10, 38, 20, 48, 16, 44)(6, 34, 11, 39, 21, 49, 17, 45)(7, 35, 12, 40, 22, 50, 18, 46)(13, 41, 23, 51, 27, 55, 25, 53)(15, 43, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 69, 97, 60, 88, 63, 91, 71, 99, 62, 90)(58, 86, 65, 93, 79, 107, 66, 94, 68, 96, 80, 108, 67, 95)(61, 89, 70, 98, 81, 109, 72, 100, 74, 102, 82, 110, 73, 101)(64, 92, 75, 103, 83, 111, 76, 104, 78, 106, 84, 112, 77, 105)
	L = (1, 60)(2, 66)(3, 63)(4, 62)(5, 72)(6, 69)(7, 57)(8, 76)(9, 68)(10, 67)(11, 79)(12, 58)(13, 71)(14, 74)(15, 59)(16, 73)(17, 81)(18, 61)(19, 78)(20, 77)(21, 83)(22, 64)(23, 80)(24, 65)(25, 82)(26, 70)(27, 84)(28, 75)(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) :: { ( 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 E21.192
Graph:: bipartite
	v = 11 e = 56 f = 5
	degree seq :: [ 8^7, 14^4 ]

E21.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (Y1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^-3 * Y3^-1, Y1^4, 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, 5, 33)(3, 31, 9, 37, 19, 47, 15, 43)(4, 32, 10, 38, 20, 48, 16, 44)(6, 34, 11, 39, 21, 49, 17, 45)(7, 35, 12, 40, 22, 50, 18, 46)(13, 41, 23, 51, 27, 55, 25, 53)(14, 42, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 69, 97, 63, 91, 60, 88, 70, 98, 62, 90)(58, 86, 65, 93, 79, 107, 68, 96, 66, 94, 80, 108, 67, 95)(61, 89, 71, 99, 81, 109, 74, 102, 72, 100, 82, 110, 73, 101)(64, 92, 75, 103, 83, 111, 78, 106, 76, 104, 84, 112, 77, 105)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 72)(6, 63)(7, 57)(8, 76)(9, 80)(10, 65)(11, 68)(12, 58)(13, 62)(14, 69)(15, 82)(16, 71)(17, 74)(18, 61)(19, 84)(20, 75)(21, 78)(22, 64)(23, 67)(24, 79)(25, 73)(26, 81)(27, 77)(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) :: { ( 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 E21.188
Graph:: bipartite
	v = 11 e = 56 f = 5
	degree seq :: [ 8^7, 14^4 ]

E21.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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, Y2^-2 * Y1^-1 * Y2^-1, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1), Y2^-1 * Y3^4 * Y1^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 3, 31, 8, 36, 11, 39, 6, 34, 5, 33)(4, 32, 9, 37, 12, 40, 20, 48, 24, 52, 16, 44, 15, 43)(7, 35, 10, 38, 13, 41, 21, 49, 25, 53, 18, 46, 17, 45)(14, 42, 22, 50, 26, 54, 28, 56, 19, 47, 23, 51, 27, 55)(57, 85, 59, 87, 67, 95, 61, 89, 58, 86, 64, 92, 62, 90)(60, 88, 68, 96, 80, 108, 71, 99, 65, 93, 76, 104, 72, 100)(63, 91, 69, 97, 81, 109, 73, 101, 66, 94, 77, 105, 74, 102)(70, 98, 82, 110, 75, 103, 83, 111, 78, 106, 84, 112, 79, 107)
	L = (1, 60)(2, 65)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 76)(9, 78)(10, 58)(11, 80)(12, 82)(13, 59)(14, 77)(15, 83)(16, 79)(17, 61)(18, 62)(19, 63)(20, 84)(21, 64)(22, 81)(23, 66)(24, 75)(25, 67)(26, 74)(27, 69)(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) :: { ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.187
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 14^8 ]

E21.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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, Y1^-1), (Y2^-1, Y3), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-3, Y3 * Y2 * Y3^3 * Y1^-1, Y2^-2 * Y3^-1 * Y1 * Y2^-1 * Y3, (Y1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 9, 37, 12, 40, 3, 31, 5, 33)(4, 32, 8, 36, 16, 44, 21, 49, 24, 52, 11, 39, 15, 43)(7, 35, 10, 38, 18, 46, 22, 50, 25, 53, 13, 41, 17, 45)(14, 42, 20, 48, 26, 54, 28, 56, 19, 47, 23, 51, 27, 55)(57, 85, 59, 87, 65, 93, 58, 86, 61, 89, 68, 96, 62, 90)(60, 88, 67, 95, 77, 105, 64, 92, 71, 99, 80, 108, 72, 100)(63, 91, 69, 97, 78, 106, 66, 94, 73, 101, 81, 109, 74, 102)(70, 98, 79, 107, 84, 112, 76, 104, 83, 111, 75, 103, 82, 110)
	L = (1, 60)(2, 64)(3, 67)(4, 70)(5, 71)(6, 72)(7, 57)(8, 76)(9, 77)(10, 58)(11, 79)(12, 80)(13, 59)(14, 78)(15, 83)(16, 82)(17, 61)(18, 62)(19, 63)(20, 81)(21, 84)(22, 65)(23, 66)(24, 75)(25, 68)(26, 69)(27, 74)(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) :: { ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.186
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 14^8 ]

E21.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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 * Y2 * Y1^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y1^-1 * Y3, Y2^4, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2, (Y2^-1 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 27, 55, 25, 53, 15, 43, 3, 31, 9, 37, 7, 35, 12, 40, 21, 49, 18, 46, 24, 52, 13, 41, 22, 50, 16, 44, 23, 51, 17, 45, 4, 32, 10, 38, 6, 34, 11, 39, 20, 48, 28, 56, 26, 54, 14, 42, 5, 33)(57, 85, 59, 87, 69, 97, 62, 90)(58, 86, 65, 93, 78, 106, 67, 95)(60, 88, 70, 98, 81, 109, 74, 102)(61, 89, 71, 99, 80, 108, 66, 94)(63, 91, 72, 100, 76, 104, 64, 92)(68, 96, 79, 107, 84, 112, 75, 103)(73, 101, 82, 110, 83, 111, 77, 105)
	L = (1, 60)(2, 66)(3, 70)(4, 68)(5, 73)(6, 74)(7, 57)(8, 62)(9, 61)(10, 77)(11, 80)(12, 58)(13, 81)(14, 79)(15, 82)(16, 59)(17, 63)(18, 75)(19, 67)(20, 69)(21, 64)(22, 71)(23, 65)(24, 83)(25, 84)(26, 72)(27, 76)(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) :: { ( 14^8 ), ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E21.185
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), Y3 * Y1^-1 * Y2 * Y3, Y2 * Y3 * Y1^-1 * Y3, Y3^-2 * Y1 * Y2^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^4, Y3^2 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y1^2 * Y2, Y2 * Y3^-1 * Y1^-3 * Y2, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 17, 45, 28, 56, 14, 42, 3, 31, 9, 37, 22, 50, 16, 44, 4, 32, 10, 38, 23, 51, 13, 41, 26, 54, 20, 48, 7, 35, 12, 40, 25, 53, 19, 47, 6, 34, 11, 39, 24, 52, 15, 43, 27, 55, 18, 46, 5, 33)(57, 85, 59, 87, 69, 97, 62, 90)(58, 86, 65, 93, 82, 110, 67, 95)(60, 88, 68, 96, 83, 111, 73, 101)(61, 89, 70, 98, 79, 107, 75, 103)(63, 91, 71, 99, 77, 105, 72, 100)(64, 92, 78, 106, 76, 104, 80, 108)(66, 94, 81, 109, 74, 102, 84, 112)
	L = (1, 60)(2, 66)(3, 68)(4, 67)(5, 72)(6, 73)(7, 57)(8, 79)(9, 81)(10, 80)(11, 84)(12, 58)(13, 83)(14, 63)(15, 59)(16, 62)(17, 82)(18, 78)(19, 77)(20, 61)(21, 69)(22, 75)(23, 71)(24, 70)(25, 64)(26, 74)(27, 65)(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) :: { ( 14^8 ), ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E21.184
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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, (Y1, Y2^-1), Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2^3, Y1^7, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^3 * Y1^-1, (Y3^-1 * Y1^-1)^7, Y3^21 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 25, 53, 28, 56, 21, 49, 10, 38)(5, 33, 8, 36, 16, 44, 26, 54, 19, 47, 23, 51, 12, 40)(9, 37, 17, 45, 24, 52, 13, 41, 18, 46, 27, 55, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 78, 106, 84, 112, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 79, 107, 67, 95, 77, 105, 83, 111, 72, 100, 62, 90, 71, 99, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 70, 98, 81, 109, 69, 97, 61, 89)
	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, 78)(15, 81)(16, 82)(17, 80)(18, 83)(19, 79)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 84)(26, 75)(27, 76)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.183
Graph:: bipartite
	v = 5 e = 56 f = 11
	degree seq :: [ 14^4, 56 ]

E21.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (R * Y2)^2, (Y3^-1, Y2), (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1^2 * Y2^-1 * Y1 * Y3, (Y2^-1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 7, 35, 4, 32, 10, 38, 5, 33)(3, 31, 9, 37, 20, 48, 15, 43, 13, 41, 23, 51, 14, 42)(6, 34, 11, 39, 21, 49, 19, 47, 16, 44, 24, 52, 17, 45)(12, 40, 22, 50, 28, 56, 27, 55, 26, 54, 18, 46, 25, 53)(57, 85, 59, 87, 68, 96, 77, 105, 64, 92, 76, 104, 84, 112, 72, 100, 60, 88, 69, 97, 82, 110, 73, 101, 61, 89, 70, 98, 81, 109, 67, 95, 58, 86, 65, 93, 78, 106, 75, 103, 63, 91, 71, 99, 83, 111, 80, 108, 66, 94, 79, 107, 74, 102, 62, 90)
	L = (1, 60)(2, 66)(3, 69)(4, 58)(5, 63)(6, 72)(7, 57)(8, 61)(9, 79)(10, 64)(11, 80)(12, 82)(13, 65)(14, 71)(15, 59)(16, 67)(17, 75)(18, 84)(19, 62)(20, 70)(21, 73)(22, 74)(23, 76)(24, 77)(25, 83)(26, 78)(27, 68)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.181
Graph:: bipartite
	v = 5 e = 56 f = 11
	degree seq :: [ 14^4, 56 ]

E21.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y2, Y3), (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3, (R * Y2)^2, Y2^-1 * Y1^-2 * Y2 * Y3 * Y1^-1, Y2^-3 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 4, 32, 7, 35, 11, 39, 5, 33)(3, 31, 9, 37, 20, 48, 13, 41, 15, 43, 23, 51, 14, 42)(6, 34, 10, 38, 21, 49, 16, 44, 19, 47, 25, 53, 17, 45)(12, 40, 22, 50, 18, 46, 24, 52, 27, 55, 28, 56, 26, 54)(57, 85, 59, 87, 68, 96, 81, 109, 67, 95, 79, 107, 84, 112, 72, 100, 60, 88, 69, 97, 80, 108, 66, 94, 58, 86, 65, 93, 78, 106, 73, 101, 61, 89, 70, 98, 82, 110, 75, 103, 63, 91, 71, 99, 83, 111, 77, 105, 64, 92, 76, 104, 74, 102, 62, 90)
	L = (1, 60)(2, 63)(3, 69)(4, 61)(5, 64)(6, 72)(7, 57)(8, 67)(9, 71)(10, 75)(11, 58)(12, 80)(13, 70)(14, 76)(15, 59)(16, 73)(17, 77)(18, 84)(19, 62)(20, 79)(21, 81)(22, 83)(23, 65)(24, 82)(25, 66)(26, 74)(27, 68)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.179
Graph:: bipartite
	v = 5 e = 56 f = 11
	degree seq :: [ 14^4, 56 ]

E21.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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, Y1^-1 * Y3^3, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^4 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 10, 38, 15, 43, 4, 32, 5, 33)(3, 31, 8, 36, 14, 42, 20, 48, 25, 53, 12, 40, 13, 41)(6, 34, 9, 37, 19, 47, 22, 50, 26, 54, 16, 44, 17, 45)(11, 39, 18, 46, 21, 49, 27, 55, 28, 56, 23, 51, 24, 52)(57, 85, 59, 87, 67, 95, 73, 101, 61, 89, 69, 97, 80, 108, 72, 100, 60, 88, 68, 96, 79, 107, 82, 110, 71, 99, 81, 109, 84, 112, 78, 106, 66, 94, 76, 104, 83, 111, 75, 103, 63, 91, 70, 98, 77, 105, 65, 93, 58, 86, 64, 92, 74, 102, 62, 90)
	L = (1, 60)(2, 61)(3, 68)(4, 66)(5, 71)(6, 72)(7, 57)(8, 69)(9, 73)(10, 58)(11, 79)(12, 76)(13, 81)(14, 59)(15, 63)(16, 78)(17, 82)(18, 80)(19, 62)(20, 64)(21, 67)(22, 65)(23, 83)(24, 84)(25, 70)(26, 75)(27, 74)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.180
Graph:: bipartite
	v = 5 e = 56 f = 11
	degree seq :: [ 14^4, 56 ]

E21.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 7, 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, Y1 * Y3^3, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, Y2^-2 * Y1 * Y2^-2, (Y2^-1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 9, 37, 15, 43, 7, 35, 5, 33)(3, 31, 8, 36, 12, 40, 21, 49, 25, 53, 14, 42, 13, 41)(6, 34, 10, 38, 16, 44, 22, 50, 26, 54, 19, 47, 17, 45)(11, 39, 20, 48, 23, 51, 28, 56, 27, 55, 24, 52, 18, 46)(57, 85, 59, 87, 67, 95, 66, 94, 58, 86, 64, 92, 76, 104, 72, 100, 60, 88, 68, 96, 79, 107, 78, 106, 65, 93, 77, 105, 84, 112, 82, 110, 71, 99, 81, 109, 83, 111, 75, 103, 63, 91, 70, 98, 80, 108, 73, 101, 61, 89, 69, 97, 74, 102, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 58)(6, 72)(7, 57)(8, 77)(9, 63)(10, 78)(11, 79)(12, 81)(13, 64)(14, 59)(15, 61)(16, 82)(17, 66)(18, 76)(19, 62)(20, 84)(21, 70)(22, 75)(23, 83)(24, 67)(25, 69)(26, 73)(27, 74)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.182
Graph:: bipartite
	v = 5 e = 56 f = 11
	degree seq :: [ 14^4, 56 ]

E21.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 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, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-7 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 26, 54)(20, 48, 24, 52, 28, 56, 25, 53)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 82, 110, 84, 112, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 83, 111, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 76, 104, 68, 96, 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) :: { ( 8, 56, 8, 56, 8, 56, 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 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, R^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^-7 * Y1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^28 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 25, 53)(20, 48, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 84, 112, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 83, 111, 82, 110, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 81, 109, 76, 104, 68, 96, 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) :: { ( 8, 56, 8, 56, 8, 56, 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 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, Y3 * Y1^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y2^-7 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 5, 33)(3, 31, 7, 35, 10, 38, 11, 39)(6, 34, 8, 36, 12, 40, 13, 41)(9, 37, 15, 43, 18, 46, 19, 47)(14, 42, 16, 44, 20, 48, 21, 49)(17, 45, 23, 51, 26, 54, 27, 55)(22, 50, 24, 52, 28, 56, 25, 53)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 77, 105, 69, 97, 61, 89, 67, 95, 75, 103, 83, 111, 84, 112, 76, 104, 68, 96, 60, 88, 66, 94, 74, 102, 82, 110, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 78, 106, 70, 98, 62, 90)
	L = (1, 60)(2, 61)(3, 66)(4, 57)(5, 58)(6, 68)(7, 67)(8, 69)(9, 74)(10, 59)(11, 63)(12, 62)(13, 64)(14, 76)(15, 75)(16, 77)(17, 82)(18, 65)(19, 71)(20, 70)(21, 72)(22, 84)(23, 83)(24, 81)(25, 80)(26, 73)(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) :: { ( 8, 56, 8, 56, 8, 56, 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 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, Y3 * Y1^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, Y2^5 * Y1^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 4, 32, 5, 33)(3, 31, 7, 35, 10, 38, 11, 39)(6, 34, 8, 36, 12, 40, 13, 41)(9, 37, 15, 43, 18, 46, 19, 47)(14, 42, 16, 44, 20, 48, 21, 49)(17, 45, 23, 51, 25, 53, 26, 54)(22, 50, 24, 52, 27, 55, 28, 56)(57, 85, 59, 87, 65, 93, 73, 101, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 83, 111, 76, 104, 68, 96, 60, 88, 66, 94, 74, 102, 81, 109, 84, 112, 77, 105, 69, 97, 61, 89, 67, 95, 75, 103, 82, 110, 78, 106, 70, 98, 62, 90)
	L = (1, 60)(2, 61)(3, 66)(4, 57)(5, 58)(6, 68)(7, 67)(8, 69)(9, 74)(10, 59)(11, 63)(12, 62)(13, 64)(14, 76)(15, 75)(16, 77)(17, 81)(18, 65)(19, 71)(20, 70)(21, 72)(22, 83)(23, 82)(24, 84)(25, 73)(26, 79)(27, 78)(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) :: { ( 8, 56, 8, 56, 8, 56, 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.197 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^4 * Y1^-1, Y1^6, Y2^6, (Y3^-1 * Y1^-1)^5, 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 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 15, 45, 6, 36, 5, 35)(2, 32, 7, 37, 4, 34, 12, 42, 14, 44, 8, 38)(9, 39, 19, 49, 11, 41, 21, 51, 13, 43, 20, 50)(16, 46, 22, 52, 17, 47, 24, 54, 18, 48, 23, 53)(25, 55, 29, 59, 26, 56, 30, 60, 27, 57, 28, 58)(61, 62, 66, 74, 70, 64)(63, 69, 65, 73, 75, 71)(67, 76, 68, 78, 72, 77)(79, 85, 80, 87, 81, 86)(82, 88, 83, 90, 84, 89)(91, 92, 96, 104, 100, 94)(93, 99, 95, 103, 105, 101)(97, 106, 98, 108, 102, 107)(109, 115, 110, 117, 111, 116)(112, 118, 113, 120, 114, 119)
	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) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E21.198
Graph:: bipartite
	v = 15 e = 60 f = 5
	degree seq :: [ 6^10, 12^5 ]

E21.198 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^4 * Y1^-1, Y1^6, Y2^6, (Y3^-1 * Y1^-1)^5, 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 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 15, 45, 75, 105, 6, 36, 66, 96, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 4, 34, 64, 94, 12, 42, 72, 102, 14, 44, 74, 104, 8, 38, 68, 98)(9, 39, 69, 99, 19, 49, 79, 109, 11, 41, 71, 101, 21, 51, 81, 111, 13, 43, 73, 103, 20, 50, 80, 110)(16, 46, 76, 106, 22, 52, 82, 112, 17, 47, 77, 107, 24, 54, 84, 114, 18, 48, 78, 108, 23, 53, 83, 113)(25, 55, 85, 115, 29, 59, 89, 119, 26, 56, 86, 116, 30, 60, 90, 120, 27, 57, 87, 117, 28, 58, 88, 118)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 43)(6, 44)(7, 46)(8, 48)(9, 35)(10, 34)(11, 33)(12, 47)(13, 45)(14, 40)(15, 41)(16, 38)(17, 37)(18, 42)(19, 55)(20, 57)(21, 56)(22, 58)(23, 60)(24, 59)(25, 50)(26, 49)(27, 51)(28, 53)(29, 52)(30, 54)(61, 92)(62, 96)(63, 99)(64, 91)(65, 103)(66, 104)(67, 106)(68, 108)(69, 95)(70, 94)(71, 93)(72, 107)(73, 105)(74, 100)(75, 101)(76, 98)(77, 97)(78, 102)(79, 115)(80, 117)(81, 116)(82, 118)(83, 120)(84, 119)(85, 110)(86, 109)(87, 111)(88, 113)(89, 112)(90, 114)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.197
Transitivity :: VT+
Graph::
	v = 5 e = 60 f = 15
	degree seq :: [ 24^5 ]

E21.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (Y2 * Y1^-1)^2, (Y1^-1, Y3^-1), Y1 * Y3^5, (Y2^-1 * Y3)^10, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 6, 36, 9, 39)(4, 34, 8, 38, 14, 44)(7, 37, 10, 40, 16, 46)(11, 41, 15, 45, 20, 50)(12, 42, 17, 47, 21, 51)(13, 43, 19, 49, 26, 56)(18, 48, 22, 52, 25, 55)(23, 53, 27, 57, 29, 59)(24, 54, 28, 58, 30, 60)(61, 91, 63, 93, 65, 95, 69, 99, 62, 92, 66, 96)(64, 94, 71, 101, 74, 104, 80, 110, 68, 98, 75, 105)(67, 97, 72, 102, 76, 106, 81, 111, 70, 100, 77, 107)(73, 103, 83, 113, 86, 116, 89, 119, 79, 109, 87, 117)(78, 108, 84, 114, 85, 115, 90, 120, 82, 112, 88, 118)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 75)(7, 61)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 87)(16, 65)(17, 66)(18, 67)(19, 78)(20, 89)(21, 69)(22, 70)(23, 90)(24, 72)(25, 76)(26, 82)(27, 84)(28, 77)(29, 88)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.202
Graph:: bipartite
	v = 15 e = 60 f = 5
	degree seq :: [ 6^10, 12^5 ]

E21.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, Y1^-6, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^5 * Y1^3, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 22, 52, 12, 42)(9, 39, 17, 47, 27, 57, 24, 54, 30, 60, 20, 50)(13, 43, 18, 48, 28, 58, 19, 49, 29, 59, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 86, 116, 74, 104, 85, 115, 84, 114, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 89, 119, 82, 112, 71, 101, 81, 111, 90, 120, 78, 108, 68, 98)(64, 94, 70, 100, 80, 110, 88, 118, 76, 106, 66, 96, 75, 105, 87, 117, 83, 113, 72, 102)
	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, 71)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 69)(21, 70)(22, 72)(23, 73)(24, 90)(25, 81)(26, 82)(27, 84)(28, 79)(29, 83)(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) :: { ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E21.201
Graph:: bipartite
	v = 8 e = 60 f = 12
	degree seq :: [ 12^5, 20^3 ]

E21.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 10, 15})
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, Y2^3, Y2 * Y3^-2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1^5, (Y1^-1 * Y3^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 17, 47, 6, 36, 11, 41, 22, 52, 26, 56, 14, 44, 3, 33, 9, 39, 20, 50, 16, 46, 5, 35)(4, 34, 10, 40, 21, 51, 28, 58, 18, 48, 7, 37, 12, 42, 23, 53, 29, 59, 25, 55, 13, 43, 24, 54, 30, 60, 27, 57, 15, 45)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 67, 97)(65, 95, 74, 104, 77, 107)(68, 98, 80, 110, 82, 112)(70, 100, 84, 114, 72, 102)(75, 105, 85, 115, 78, 108)(76, 106, 86, 116, 79, 109)(81, 111, 90, 120, 83, 113)(87, 117, 89, 119, 88, 118)
	L = (1, 64)(2, 70)(3, 73)(4, 63)(5, 75)(6, 67)(7, 61)(8, 81)(9, 84)(10, 69)(11, 72)(12, 62)(13, 66)(14, 85)(15, 74)(16, 87)(17, 78)(18, 65)(19, 88)(20, 90)(21, 80)(22, 83)(23, 68)(24, 71)(25, 77)(26, 89)(27, 86)(28, 76)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E21.200
Graph:: bipartite
	v = 12 e = 60 f = 8
	degree seq :: [ 6^10, 30^2 ]

E21.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 10, 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), Y1^-2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y1 * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y3^3, Y3^-1 * Y2^-4, (Y3^-1 * Y2)^3, Y2^-1 * Y1^4 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 27, 57, 30, 60, 29, 59, 28, 58, 14, 44, 5, 35)(3, 33, 9, 39, 7, 37, 12, 42, 17, 47, 25, 55, 19, 49, 26, 56, 20, 50, 15, 45)(4, 34, 10, 40, 6, 36, 11, 41, 13, 43, 23, 53, 16, 46, 24, 54, 21, 51, 18, 48)(61, 91, 63, 93, 73, 103, 68, 98, 67, 97, 76, 106, 87, 117, 77, 107, 81, 111, 89, 119, 79, 109, 64, 94, 74, 104, 80, 110, 66, 96)(62, 92, 69, 99, 83, 113, 82, 112, 72, 102, 84, 114, 90, 120, 85, 115, 78, 108, 88, 118, 86, 116, 70, 100, 65, 95, 75, 105, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 66)(9, 65)(10, 85)(11, 86)(12, 62)(13, 80)(14, 81)(15, 88)(16, 63)(17, 68)(18, 72)(19, 87)(20, 89)(21, 67)(22, 71)(23, 75)(24, 69)(25, 82)(26, 90)(27, 73)(28, 84)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.199
Graph:: bipartite
	v = 5 e = 60 f = 15
	degree seq :: [ 20^3, 30^2 ]

E21.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y1^-1), (R * Y3)^2, (Y3, Y1^-1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, Y2^2 * Y3^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y2^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 24, 54, 16, 46)(13, 43, 25, 55, 29, 59)(15, 45, 26, 56, 18, 48)(21, 51, 23, 53, 28, 58)(22, 52, 27, 57, 30, 60)(61, 91, 63, 93, 72, 102, 87, 117, 71, 101, 86, 116, 77, 107, 89, 119, 81, 111, 66, 96)(62, 92, 68, 98, 84, 114, 90, 120, 80, 110, 78, 108, 64, 94, 73, 103, 83, 113, 70, 100)(65, 95, 74, 104, 76, 106, 82, 112, 67, 97, 75, 105, 69, 99, 85, 115, 88, 118, 79, 109)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 85)(9, 72)(10, 75)(11, 62)(12, 83)(13, 82)(14, 89)(15, 63)(16, 81)(17, 84)(18, 74)(19, 86)(20, 65)(21, 80)(22, 66)(23, 67)(24, 88)(25, 87)(26, 68)(27, 70)(28, 71)(29, 90)(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) :: { ( 12, 30, 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 E21.204
Graph:: bipartite
	v = 13 e = 60 f = 7
	degree seq :: [ 6^10, 20^3 ]

E21.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^-5 * Y1^2, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 22, 52, 12, 42)(9, 39, 17, 47, 27, 57, 30, 60, 24, 54, 20, 50)(13, 43, 18, 48, 19, 49, 28, 58, 29, 59, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 76, 106, 66, 96, 75, 105, 87, 117, 89, 119, 82, 112, 71, 101, 81, 111, 84, 114, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 88, 118, 86, 116, 74, 104, 85, 115, 90, 120, 83, 113, 72, 102, 64, 94, 70, 100, 80, 110, 78, 108, 68, 98)
	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, 71)(15, 85)(16, 86)(17, 87)(18, 79)(19, 88)(20, 69)(21, 70)(22, 72)(23, 73)(24, 80)(25, 81)(26, 82)(27, 90)(28, 89)(29, 83)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.203
Graph:: bipartite
	v = 7 e = 60 f = 13
	degree seq :: [ 12^5, 30^2 ]

E21.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y3^-1), (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, Y3^-2 * Y2^3, Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3^-30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 21, 51, 26, 56)(13, 43, 22, 52, 27, 57)(15, 45, 23, 53, 28, 58)(16, 46, 24, 54, 29, 59)(18, 48, 25, 55, 30, 60)(61, 91, 63, 93, 72, 102, 76, 106, 66, 96)(62, 92, 68, 98, 81, 111, 84, 114, 70, 100)(64, 94, 73, 103, 67, 97, 75, 105, 78, 108)(65, 95, 74, 104, 86, 116, 89, 119, 79, 109)(69, 99, 82, 112, 71, 101, 83, 113, 85, 115)(77, 107, 87, 117, 80, 110, 88, 118, 90, 120)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 84)(10, 85)(11, 62)(12, 67)(13, 66)(14, 87)(15, 63)(16, 75)(17, 89)(18, 72)(19, 90)(20, 65)(21, 71)(22, 70)(23, 68)(24, 83)(25, 81)(26, 80)(27, 79)(28, 74)(29, 88)(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, 60, 20, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.215
Graph:: simple bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 6^10, 10^6 ]

E21.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y1^3, (Y1, Y2^-1), (R * Y1)^2, (Y1, Y3), (R * Y2)^2, (R * Y3)^2, Y2^5, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 15, 45)(6, 36, 10, 40, 16, 46)(7, 37, 11, 41, 17, 47)(12, 42, 20, 50, 25, 55)(13, 43, 21, 51, 26, 56)(18, 48, 22, 52, 27, 57)(19, 49, 23, 53, 28, 58)(24, 54, 29, 59, 30, 60)(61, 91, 63, 93, 72, 102, 78, 108, 66, 96)(62, 92, 68, 98, 80, 110, 82, 112, 70, 100)(64, 94, 73, 103, 84, 114, 79, 109, 67, 97)(65, 95, 74, 104, 85, 115, 87, 117, 76, 106)(69, 99, 81, 111, 89, 119, 83, 113, 71, 101)(75, 105, 86, 116, 90, 120, 88, 118, 77, 107)
	L = (1, 64)(2, 69)(3, 73)(4, 63)(5, 75)(6, 67)(7, 61)(8, 81)(9, 68)(10, 71)(11, 62)(12, 84)(13, 72)(14, 86)(15, 74)(16, 77)(17, 65)(18, 79)(19, 66)(20, 89)(21, 80)(22, 83)(23, 70)(24, 78)(25, 90)(26, 85)(27, 88)(28, 76)(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, 60, 20, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.214
Graph:: simple bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 6^10, 10^6 ]

E21.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y1^3, (R * Y2)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), Y2^5, (Y3 * Y2^-1)^10, 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 13, 43)(4, 34, 9, 39, 15, 45)(6, 36, 10, 40, 17, 47)(7, 37, 11, 41, 18, 48)(12, 42, 20, 50, 24, 54)(14, 44, 21, 51, 26, 56)(16, 46, 22, 52, 27, 57)(19, 49, 23, 53, 28, 58)(25, 55, 29, 59, 30, 60)(61, 91, 63, 93, 72, 102, 79, 109, 66, 96)(62, 92, 68, 98, 80, 110, 83, 113, 70, 100)(64, 94, 67, 97, 74, 104, 85, 115, 76, 106)(65, 95, 73, 103, 84, 114, 88, 118, 77, 107)(69, 99, 71, 101, 81, 111, 89, 119, 82, 112)(75, 105, 78, 108, 86, 116, 90, 120, 87, 117)
	L = (1, 64)(2, 69)(3, 67)(4, 66)(5, 75)(6, 76)(7, 61)(8, 71)(9, 70)(10, 82)(11, 62)(12, 74)(13, 78)(14, 63)(15, 77)(16, 79)(17, 87)(18, 65)(19, 85)(20, 81)(21, 68)(22, 83)(23, 89)(24, 86)(25, 72)(26, 73)(27, 88)(28, 90)(29, 80)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.216
Graph:: simple bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 6^10, 10^6 ]

E21.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (R * Y1)^2, (Y2, Y1^-1), (Y1^-1, Y3^-1), (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y3^2, Y3^-1 * Y1^2 * Y3^-2, Y2^4 * Y1, Y3^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 9, 39, 19, 49, 6, 36, 11, 41)(4, 34, 10, 40, 23, 53, 22, 52, 16, 46)(7, 37, 12, 42, 15, 45, 26, 56, 20, 50)(13, 43, 24, 54, 30, 60, 17, 47, 27, 57)(14, 44, 25, 55, 29, 59, 21, 51, 28, 58)(61, 91, 63, 93, 68, 98, 79, 109, 65, 95, 71, 101, 62, 92, 69, 99, 78, 108, 66, 96)(64, 94, 73, 103, 83, 113, 90, 120, 76, 106, 87, 117, 70, 100, 84, 114, 82, 112, 77, 107)(67, 97, 74, 104, 75, 105, 89, 119, 80, 110, 88, 118, 72, 102, 85, 115, 86, 116, 81, 111)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 83)(9, 84)(10, 86)(11, 87)(12, 62)(13, 89)(14, 63)(15, 68)(16, 72)(17, 74)(18, 82)(19, 90)(20, 65)(21, 66)(22, 67)(23, 80)(24, 81)(25, 69)(26, 78)(27, 85)(28, 71)(29, 79)(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) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.211
Graph:: bipartite
	v = 9 e = 60 f = 11
	degree seq :: [ 10^6, 20^3 ]

E21.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (R * Y2)^2, (Y2^-1, Y3^-1), (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^3 * Y1^-2, Y1^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 6, 36, 10, 40, 23, 53, 13, 43)(4, 34, 9, 39, 22, 52, 21, 51, 16, 46)(7, 37, 11, 41, 15, 45, 24, 54, 19, 49)(12, 42, 17, 47, 25, 55, 29, 59, 27, 57)(14, 44, 20, 50, 26, 56, 30, 60, 28, 58)(61, 91, 63, 93, 65, 95, 73, 103, 78, 108, 83, 113, 68, 98, 70, 100, 62, 92, 66, 96)(64, 94, 72, 102, 76, 106, 87, 117, 81, 111, 89, 119, 82, 112, 85, 115, 69, 99, 77, 107)(67, 97, 74, 104, 79, 109, 88, 118, 84, 114, 90, 120, 75, 105, 86, 116, 71, 101, 80, 110)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 82)(9, 84)(10, 85)(11, 62)(12, 86)(13, 87)(14, 63)(15, 68)(16, 71)(17, 90)(18, 81)(19, 65)(20, 66)(21, 67)(22, 79)(23, 89)(24, 78)(25, 88)(26, 70)(27, 80)(28, 73)(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) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.213
Graph:: bipartite
	v = 9 e = 60 f = 11
	degree seq :: [ 10^6, 20^3 ]

E21.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y2)^2, Y3^-3 * Y1^2, Y1^5, Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 18, 48, 6, 36)(4, 34, 10, 40, 23, 53, 21, 51, 15, 45)(7, 37, 11, 41, 14, 44, 26, 56, 19, 49)(12, 42, 24, 54, 30, 60, 28, 58, 16, 46)(13, 43, 25, 55, 27, 57, 29, 59, 20, 50)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 82, 112, 77, 107, 78, 108, 65, 95, 66, 96)(64, 94, 72, 102, 70, 100, 84, 114, 83, 113, 90, 120, 81, 111, 88, 118, 75, 105, 76, 106)(67, 97, 73, 103, 71, 101, 85, 115, 74, 104, 87, 117, 86, 116, 89, 119, 79, 109, 80, 110)
	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, 68)(15, 71)(16, 85)(17, 81)(18, 88)(19, 65)(20, 66)(21, 67)(22, 90)(23, 79)(24, 89)(25, 69)(26, 77)(27, 82)(28, 73)(29, 78)(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) :: { ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.212
Graph:: bipartite
	v = 9 e = 60 f = 11
	degree seq :: [ 10^6, 20^3 ]

E21.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 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^-2 * Y3, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y2, Y3), Y2 * Y3^5, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, (Y2^-1 * Y3)^5, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 14, 44, 21, 51, 26, 56, 28, 58, 18, 48, 16, 46, 6, 36, 10, 40, 15, 45, 22, 52, 27, 57, 30, 60, 25, 55, 24, 54, 13, 43, 12, 42, 3, 33, 8, 38, 11, 41, 20, 50, 23, 53, 29, 59, 19, 49, 17, 47, 7, 37, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 68, 98, 70, 100)(64, 94, 71, 101, 75, 105)(65, 95, 72, 102, 76, 106)(67, 97, 73, 103, 78, 108)(69, 99, 80, 110, 82, 112)(74, 104, 83, 113, 87, 117)(77, 107, 84, 114, 88, 118)(79, 109, 85, 115, 86, 116)(81, 111, 89, 119, 90, 120)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 62)(6, 75)(7, 61)(8, 80)(9, 81)(10, 82)(11, 83)(12, 68)(13, 63)(14, 86)(15, 87)(16, 70)(17, 65)(18, 66)(19, 67)(20, 89)(21, 88)(22, 90)(23, 79)(24, 72)(25, 73)(26, 78)(27, 85)(28, 76)(29, 77)(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, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.208
Graph:: bipartite
	v = 11 e = 60 f = 9
	degree seq :: [ 6^10, 60 ]

E21.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2^-1, Y1^-1), (R * Y3)^2, (Y1, Y3), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y3^-1), Y3^-2 * Y2 * Y1^2, Y3^2 * Y2^-1 * Y1^-2, Y3 * Y1^4, Y2 * Y3^5, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 7, 37, 12, 42, 18, 48, 27, 57, 23, 53, 20, 50, 6, 36, 11, 41, 24, 54, 30, 60, 22, 52, 28, 58, 13, 43, 25, 55, 29, 59, 14, 44, 3, 33, 9, 39, 16, 46, 26, 56, 15, 45, 17, 47, 4, 34, 10, 40, 19, 49, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 78, 108)(65, 95, 74, 104, 80, 110)(67, 97, 75, 105, 82, 112)(68, 98, 76, 106, 84, 114)(70, 100, 85, 115, 87, 117)(72, 102, 77, 107, 88, 118)(79, 109, 89, 119, 83, 113)(81, 111, 86, 116, 90, 120)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 79)(9, 85)(10, 86)(11, 87)(12, 62)(13, 84)(14, 88)(15, 63)(16, 89)(17, 69)(18, 68)(19, 75)(20, 72)(21, 65)(22, 66)(23, 67)(24, 83)(25, 90)(26, 74)(27, 81)(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) :: { ( 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.210
Graph:: bipartite
	v = 11 e = 60 f = 9
	degree seq :: [ 6^10, 60 ]

E21.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 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, Y2), Y3^-1 * Y2^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^3 * Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y1^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 27, 57, 30, 60, 25, 55, 17, 47, 4, 34, 10, 40, 6, 36, 11, 41, 15, 45, 22, 52, 19, 49, 24, 54, 16, 46, 23, 53, 18, 48, 14, 44, 3, 33, 9, 39, 7, 37, 12, 42, 21, 51, 29, 59, 28, 58, 26, 56, 13, 43, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 78, 108)(65, 95, 74, 104, 70, 100)(67, 97, 75, 105, 68, 98)(72, 102, 82, 112, 80, 110)(76, 106, 85, 115, 88, 118)(77, 107, 86, 116, 83, 113)(79, 109, 87, 117, 81, 111)(84, 114, 90, 120, 89, 119)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 66)(9, 65)(10, 83)(11, 74)(12, 62)(13, 85)(14, 86)(15, 63)(16, 81)(17, 84)(18, 88)(19, 67)(20, 71)(21, 68)(22, 69)(23, 89)(24, 72)(25, 79)(26, 90)(27, 75)(28, 87)(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) :: { ( 10, 20, 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.209
Graph:: bipartite
	v = 11 e = 60 f = 9
	degree seq :: [ 6^10, 60 ]

E21.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^3 * Y2^-3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^-7 * Y2^-3, (Y3^-1 * Y1^-1)^5, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 22, 52, 28, 58, 25, 55, 19, 49, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 29, 59, 27, 57, 21, 51, 13, 43, 18, 48, 10, 40)(5, 35, 8, 38, 16, 46, 9, 39, 17, 47, 24, 54, 30, 60, 26, 56, 20, 50, 12, 42)(61, 91, 63, 93, 69, 99, 74, 104, 83, 113, 90, 120, 85, 115, 81, 111, 72, 102, 64, 94, 70, 100, 76, 106, 66, 96, 75, 105, 84, 114, 88, 118, 87, 117, 80, 110, 71, 101, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 82, 112, 89, 119, 86, 116, 79, 109, 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, 83)(16, 69)(17, 84)(18, 70)(19, 71)(20, 72)(21, 73)(22, 88)(23, 89)(24, 90)(25, 79)(26, 80)(27, 81)(28, 85)(29, 87)(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) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E21.206
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 20^3, 60 ]

E21.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y2, Y1), Y2^3 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, Y1^3 * Y3, (R * Y3)^2, Y3^3 * Y1^-1, (R * Y2)^2, Y2 * Y3^2 * Y2^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 22, 52, 16, 46, 4, 34, 10, 40, 5, 35)(3, 33, 9, 39, 20, 50, 15, 45, 24, 54, 29, 59, 27, 57, 13, 43, 23, 53, 14, 44)(6, 36, 11, 41, 21, 51, 19, 49, 26, 56, 30, 60, 28, 58, 17, 47, 25, 55, 18, 48)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 81, 111, 68, 98, 80, 110, 79, 109, 67, 97, 75, 105, 86, 116, 72, 102, 84, 114, 90, 120, 82, 112, 89, 119, 88, 118, 76, 106, 87, 117, 77, 107, 64, 94, 73, 103, 85, 115, 70, 100, 83, 113, 78, 108, 65, 95, 74, 104, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 72)(5, 76)(6, 77)(7, 61)(8, 65)(9, 83)(10, 82)(11, 85)(12, 62)(13, 84)(14, 87)(15, 63)(16, 67)(17, 86)(18, 88)(19, 66)(20, 74)(21, 78)(22, 68)(23, 89)(24, 69)(25, 90)(26, 71)(27, 75)(28, 79)(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) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E21.205
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 20^3, 60 ]

E21.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-2, Y2^-3 * Y1^-1, Y3 * Y1^-3, (Y2, Y1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y1, Y3^-1), (R * Y2)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 21, 51, 17, 47, 7, 37, 12, 42, 5, 35)(3, 33, 9, 39, 20, 50, 14, 44, 23, 53, 29, 59, 28, 58, 16, 46, 24, 54, 15, 45)(6, 36, 11, 41, 22, 52, 18, 48, 25, 55, 30, 60, 27, 57, 19, 49, 26, 56, 13, 43)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 86, 116, 72, 102, 84, 114, 79, 109, 67, 97, 76, 106, 87, 117, 77, 107, 88, 118, 90, 120, 81, 111, 89, 119, 85, 115, 70, 100, 83, 113, 78, 108, 64, 94, 74, 104, 82, 112, 68, 98, 80, 110, 71, 101, 62, 92, 69, 99, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 68)(6, 78)(7, 61)(8, 81)(9, 83)(10, 67)(11, 85)(12, 62)(13, 82)(14, 88)(15, 80)(16, 63)(17, 65)(18, 87)(19, 66)(20, 89)(21, 72)(22, 90)(23, 76)(24, 69)(25, 79)(26, 71)(27, 73)(28, 75)(29, 84)(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) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E21.207
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 20^3, 60 ]

E21.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^3, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y1)^2, (Y3 * Y2^-1)^5, Y2^10, Y3^-30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 6, 36, 9, 39)(4, 34, 7, 37, 11, 41)(8, 38, 12, 42, 15, 45)(10, 40, 13, 43, 17, 47)(14, 44, 18, 48, 21, 51)(16, 46, 19, 49, 23, 53)(20, 50, 24, 54, 27, 57)(22, 52, 25, 55, 28, 58)(26, 56, 29, 59, 30, 60)(61, 91, 63, 93, 68, 98, 74, 104, 80, 110, 86, 116, 82, 112, 76, 106, 70, 100, 64, 94)(62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 89, 119, 85, 115, 79, 109, 73, 103, 67, 97)(65, 95, 69, 99, 75, 105, 81, 111, 87, 117, 90, 120, 88, 118, 83, 113, 77, 107, 71, 101)
	L = (1, 64)(2, 67)(3, 61)(4, 70)(5, 71)(6, 62)(7, 73)(8, 63)(9, 65)(10, 76)(11, 77)(12, 66)(13, 79)(14, 68)(15, 69)(16, 82)(17, 83)(18, 72)(19, 85)(20, 74)(21, 75)(22, 86)(23, 88)(24, 78)(25, 89)(26, 80)(27, 81)(28, 90)(29, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.222
Graph:: bipartite
	v = 13 e = 60 f = 7
	degree seq :: [ 6^10, 20^3 ]

E21.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-1 * Y2^-1 * Y3^-2, Y3 * Y2^-3, (Y3, Y2^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1^-1) ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 18, 48)(7, 37, 11, 41, 19, 49)(12, 42, 20, 50, 25, 55)(13, 43, 21, 51, 26, 56)(15, 45, 22, 52, 27, 57)(16, 46, 23, 53, 28, 58)(24, 54, 29, 59, 30, 60)(61, 91, 63, 93, 72, 102, 64, 94, 73, 103, 84, 114, 76, 106, 67, 97, 75, 105, 66, 96)(62, 92, 68, 98, 80, 110, 69, 99, 81, 111, 89, 119, 83, 113, 71, 101, 82, 112, 70, 100)(65, 95, 74, 104, 85, 115, 77, 107, 86, 116, 90, 120, 88, 118, 79, 109, 87, 117, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 72)(7, 61)(8, 81)(9, 83)(10, 80)(11, 62)(12, 84)(13, 67)(14, 86)(15, 63)(16, 66)(17, 88)(18, 85)(19, 65)(20, 89)(21, 71)(22, 68)(23, 70)(24, 75)(25, 90)(26, 79)(27, 74)(28, 78)(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) :: { ( 10, 60, 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 E21.221
Graph:: bipartite
	v = 13 e = 60 f = 7
	degree seq :: [ 6^10, 20^3 ]

E21.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-1 * Y3^-1 * Y2^-2, Y3^2 * Y2^-1 * Y3, (Y3, Y2), (Y2^-1, Y1^-1), (R * Y2)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2^-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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 16, 46)(6, 36, 10, 40, 18, 48)(7, 37, 11, 41, 19, 49)(12, 42, 20, 50, 24, 54)(13, 43, 21, 51, 26, 56)(15, 45, 22, 52, 27, 57)(17, 47, 23, 53, 28, 58)(25, 55, 29, 59, 30, 60)(61, 91, 63, 93, 72, 102, 67, 97, 75, 105, 85, 115, 77, 107, 64, 94, 73, 103, 66, 96)(62, 92, 68, 98, 80, 110, 71, 101, 82, 112, 89, 119, 83, 113, 69, 99, 81, 111, 70, 100)(65, 95, 74, 104, 84, 114, 79, 109, 87, 117, 90, 120, 88, 118, 76, 106, 86, 116, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 81)(9, 82)(10, 83)(11, 62)(12, 66)(13, 85)(14, 86)(15, 63)(16, 87)(17, 67)(18, 88)(19, 65)(20, 70)(21, 89)(22, 68)(23, 71)(24, 78)(25, 72)(26, 90)(27, 74)(28, 79)(29, 80)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.220
Graph:: bipartite
	v = 13 e = 60 f = 7
	degree seq :: [ 6^10, 20^3 ]

E21.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 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^-1 * Y2^-1, (Y3^-1, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3^3 * Y1^-2, Y1^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 9, 39, 22, 52, 28, 58, 13, 43)(4, 34, 10, 40, 23, 53, 21, 51, 16, 46)(6, 36, 11, 41, 24, 54, 30, 60, 19, 49)(7, 37, 12, 42, 15, 45, 26, 56, 20, 50)(14, 44, 25, 55, 17, 47, 27, 57, 29, 59)(61, 91, 63, 93, 67, 97, 74, 104, 81, 111, 90, 120, 78, 108, 88, 118, 86, 116, 87, 117, 70, 100, 71, 101, 62, 92, 69, 99, 72, 102, 85, 115, 76, 106, 79, 109, 65, 95, 73, 103, 80, 110, 89, 119, 83, 113, 84, 114, 68, 98, 82, 112, 75, 105, 77, 107, 64, 94, 66, 96)
	L = (1, 64)(2, 70)(3, 66)(4, 75)(5, 76)(6, 77)(7, 61)(8, 83)(9, 71)(10, 86)(11, 87)(12, 62)(13, 79)(14, 63)(15, 68)(16, 72)(17, 82)(18, 81)(19, 85)(20, 65)(21, 67)(22, 84)(23, 80)(24, 89)(25, 69)(26, 78)(27, 88)(28, 90)(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) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.219
Graph:: bipartite
	v = 7 e = 60 f = 13
	degree seq :: [ 10^6, 60 ]

E21.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 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, Y1^-1), Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y3^-1 * Y1, (R * Y3)^2, Y3^3 * Y1^-2, Y2^4 * Y3^-1, Y1^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 9, 39, 22, 52, 27, 57, 13, 43)(4, 34, 10, 40, 23, 53, 21, 51, 16, 46)(6, 36, 11, 41, 24, 54, 29, 59, 19, 49)(7, 37, 12, 42, 15, 45, 25, 55, 20, 50)(14, 44, 17, 47, 26, 56, 30, 60, 28, 58)(61, 91, 63, 93, 72, 102, 77, 107, 64, 94, 71, 101, 62, 92, 69, 99, 75, 105, 86, 116, 70, 100, 84, 114, 68, 98, 82, 112, 85, 115, 90, 120, 83, 113, 89, 119, 78, 108, 87, 117, 80, 110, 88, 118, 81, 111, 79, 109, 65, 95, 73, 103, 67, 97, 74, 104, 76, 106, 66, 96)
	L = (1, 64)(2, 70)(3, 71)(4, 75)(5, 76)(6, 77)(7, 61)(8, 83)(9, 84)(10, 85)(11, 86)(12, 62)(13, 66)(14, 63)(15, 68)(16, 72)(17, 69)(18, 81)(19, 74)(20, 65)(21, 67)(22, 89)(23, 80)(24, 90)(25, 78)(26, 82)(27, 79)(28, 73)(29, 88)(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) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.218
Graph:: bipartite
	v = 7 e = 60 f = 13
	degree seq :: [ 10^6, 60 ]

E21.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 10, 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 * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y3^-1 * Y2^-2 * Y1^-2, Y1^2 * Y3^-3, Y2^2 * Y3^-2 * Y1^-1, Y1^5, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y3)^10, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 24, 54, 28, 58, 15, 45)(4, 34, 10, 40, 23, 53, 25, 55, 18, 48)(6, 36, 11, 41, 26, 56, 14, 44, 21, 51)(7, 37, 12, 42, 17, 47, 13, 43, 22, 52)(16, 46, 27, 57, 30, 60, 29, 59, 19, 49)(61, 91, 63, 93, 73, 103, 89, 119, 78, 108, 86, 116, 68, 98, 84, 114, 67, 97, 76, 106, 70, 100, 81, 111, 65, 95, 75, 105, 77, 107, 90, 120, 85, 115, 71, 101, 62, 92, 69, 99, 82, 112, 79, 109, 64, 94, 74, 104, 80, 110, 88, 118, 72, 102, 87, 117, 83, 113, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 81)(10, 73)(11, 76)(12, 62)(13, 80)(14, 90)(15, 86)(16, 63)(17, 68)(18, 72)(19, 75)(20, 85)(21, 89)(22, 65)(23, 82)(24, 66)(25, 67)(26, 87)(27, 69)(28, 71)(29, 88)(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) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.217
Graph:: bipartite
	v = 7 e = 60 f = 13
	degree seq :: [ 10^6, 60 ]

E21.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2^15, Y3^30, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 5, 35)(4, 34, 6, 36)(7, 37, 9, 39)(8, 38, 10, 40)(11, 41, 13, 43)(12, 42, 14, 44)(15, 45, 17, 47)(16, 46, 18, 48)(19, 49, 21, 51)(20, 50, 22, 52)(23, 53, 25, 55)(24, 54, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 67, 97, 71, 101, 75, 105, 79, 109, 83, 113, 87, 117, 88, 118, 84, 114, 80, 110, 76, 106, 72, 102, 68, 98, 64, 94)(62, 92, 65, 95, 69, 99, 73, 103, 77, 107, 81, 111, 85, 115, 89, 119, 90, 120, 86, 116, 82, 112, 78, 108, 74, 104, 70, 100, 66, 96)
	L = (1, 64)(2, 66)(3, 61)(4, 68)(5, 62)(6, 70)(7, 63)(8, 72)(9, 65)(10, 74)(11, 67)(12, 76)(13, 69)(14, 78)(15, 71)(16, 80)(17, 73)(18, 82)(19, 75)(20, 84)(21, 77)(22, 86)(23, 79)(24, 88)(25, 81)(26, 90)(27, 83)(28, 87)(29, 85)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.229
Graph:: bipartite
	v = 17 e = 60 f = 3
	degree seq :: [ 4^15, 30^2 ]

E21.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^-1 * Y3^-7 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 15, 45)(12, 42, 16, 46)(13, 43, 17, 47)(14, 44, 18, 48)(19, 49, 23, 53)(20, 50, 24, 54)(21, 51, 25, 55)(22, 52, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 64, 94, 71, 101, 72, 102, 79, 109, 80, 110, 87, 117, 88, 118, 82, 112, 81, 111, 74, 104, 73, 103, 66, 96, 65, 95)(62, 92, 67, 97, 68, 98, 75, 105, 76, 106, 83, 113, 84, 114, 89, 119, 90, 120, 86, 116, 85, 115, 78, 108, 77, 107, 70, 100, 69, 99)
	L = (1, 64)(2, 68)(3, 71)(4, 72)(5, 63)(6, 61)(7, 75)(8, 76)(9, 67)(10, 62)(11, 79)(12, 80)(13, 65)(14, 66)(15, 83)(16, 84)(17, 69)(18, 70)(19, 87)(20, 88)(21, 73)(22, 74)(23, 89)(24, 90)(25, 77)(26, 78)(27, 82)(28, 81)(29, 86)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.230
Graph:: bipartite
	v = 17 e = 60 f = 3
	degree seq :: [ 4^15, 30^2 ]

E21.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^-3 * Y3^-1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 15, 45)(12, 42, 16, 46)(13, 43, 17, 47)(14, 44, 18, 48)(19, 49, 23, 53)(20, 50, 24, 54)(21, 51, 25, 55)(22, 52, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 79, 109, 87, 117, 82, 112, 74, 104, 66, 96, 64, 94, 72, 102, 80, 110, 88, 118, 81, 111, 73, 103, 65, 95)(62, 92, 67, 97, 75, 105, 83, 113, 89, 119, 86, 116, 78, 108, 70, 100, 68, 98, 76, 106, 84, 114, 90, 120, 85, 115, 77, 107, 69, 99)
	L = (1, 64)(2, 68)(3, 72)(4, 63)(5, 66)(6, 61)(7, 76)(8, 67)(9, 70)(10, 62)(11, 80)(12, 71)(13, 74)(14, 65)(15, 84)(16, 75)(17, 78)(18, 69)(19, 88)(20, 79)(21, 82)(22, 73)(23, 90)(24, 83)(25, 86)(26, 77)(27, 81)(28, 87)(29, 85)(30, 89)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.228
Graph:: bipartite
	v = 17 e = 60 f = 3
	degree seq :: [ 4^15, 30^2 ]

E21.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-2, Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1^-1, Y3^-1), Y1 * Y2^-7 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 9, 39, 15, 45, 17, 47, 23, 53, 25, 55, 28, 58, 19, 49, 21, 51, 11, 41, 13, 43, 3, 33, 5, 35)(4, 34, 8, 38, 7, 37, 10, 40, 16, 46, 18, 48, 24, 54, 26, 56, 30, 60, 27, 57, 29, 59, 20, 50, 22, 52, 12, 42, 14, 44)(61, 91, 63, 93, 71, 101, 79, 109, 85, 115, 77, 107, 69, 99, 62, 92, 65, 95, 73, 103, 81, 111, 88, 118, 83, 113, 75, 105, 66, 96)(64, 94, 72, 102, 80, 110, 87, 117, 86, 116, 78, 108, 70, 100, 68, 98, 74, 104, 82, 112, 89, 119, 90, 120, 84, 114, 76, 106, 67, 97)
	L = (1, 64)(2, 68)(3, 72)(4, 63)(5, 74)(6, 67)(7, 61)(8, 65)(9, 70)(10, 62)(11, 80)(12, 71)(13, 82)(14, 73)(15, 76)(16, 66)(17, 78)(18, 69)(19, 87)(20, 79)(21, 89)(22, 81)(23, 84)(24, 75)(25, 86)(26, 77)(27, 85)(28, 90)(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) :: { ( 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 E21.227
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 30^4 ]

E21.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y1^-1, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-15 * Y2, (Y3 * Y2)^15, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35, 9, 39, 13, 43, 17, 47, 21, 51, 25, 55, 29, 59, 27, 57, 23, 53, 19, 49, 15, 45, 11, 41, 7, 37, 3, 33, 6, 36, 10, 40, 14, 44, 18, 48, 22, 52, 26, 56, 30, 60, 28, 58, 24, 54, 20, 50, 16, 46, 12, 42, 8, 38, 4, 34)(61, 91, 63, 93)(62, 92, 66, 96)(64, 94, 67, 97)(65, 95, 70, 100)(68, 98, 71, 101)(69, 99, 74, 104)(72, 102, 75, 105)(73, 103, 78, 108)(76, 106, 79, 109)(77, 107, 82, 112)(80, 110, 83, 113)(81, 111, 86, 116)(84, 114, 87, 117)(85, 115, 90, 120)(88, 118, 89, 119)
	L = (1, 62)(2, 65)(3, 66)(4, 61)(5, 69)(6, 70)(7, 63)(8, 64)(9, 73)(10, 74)(11, 67)(12, 68)(13, 77)(14, 78)(15, 71)(16, 72)(17, 81)(18, 82)(19, 75)(20, 76)(21, 85)(22, 86)(23, 79)(24, 80)(25, 89)(26, 90)(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) :: { ( 30^4 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E21.226
Graph:: bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 4^15, 60 ]

E21.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y2^-4, Y2^2 * Y1^13, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 11, 41, 15, 45, 19, 49, 23, 53, 27, 57, 29, 59, 25, 55, 21, 51, 17, 47, 13, 43, 9, 39, 4, 34)(3, 33, 7, 37, 12, 42, 16, 46, 20, 50, 24, 54, 28, 58, 30, 60, 26, 56, 22, 52, 18, 48, 14, 44, 10, 40, 5, 35, 8, 38)(61, 91, 63, 93, 66, 96, 72, 102, 75, 105, 80, 110, 83, 113, 88, 118, 89, 119, 86, 116, 81, 111, 78, 108, 73, 103, 70, 100, 64, 94, 68, 98, 62, 92, 67, 97, 71, 101, 76, 106, 79, 109, 84, 114, 87, 117, 90, 120, 85, 115, 82, 112, 77, 107, 74, 104, 69, 99, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 72)(8, 63)(9, 64)(10, 65)(11, 75)(12, 76)(13, 69)(14, 70)(15, 79)(16, 80)(17, 73)(18, 74)(19, 83)(20, 84)(21, 77)(22, 78)(23, 87)(24, 88)(25, 81)(26, 82)(27, 89)(28, 90)(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) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E21.225
Graph:: bipartite
	v = 3 e = 60 f = 17
	degree seq :: [ 30^2, 60 ]

E21.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y3^-2, Y1 * Y2^2, (Y2^-1 * Y3)^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y1^-7 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 25, 55, 23, 53, 14, 44, 4, 34, 7, 37, 10, 40, 19, 49, 27, 57, 24, 54, 15, 45, 5, 35)(3, 33, 6, 36, 9, 39, 18, 48, 26, 56, 29, 59, 21, 51, 11, 41, 13, 43, 16, 46, 20, 50, 28, 58, 30, 60, 22, 52, 12, 42)(61, 91, 63, 93, 65, 95, 72, 102, 75, 105, 82, 112, 84, 114, 90, 120, 87, 117, 88, 118, 79, 109, 80, 110, 70, 100, 76, 106, 67, 97, 73, 103, 64, 94, 71, 101, 74, 104, 81, 111, 83, 113, 89, 119, 85, 115, 86, 116, 77, 107, 78, 108, 68, 98, 69, 99, 62, 92, 66, 96)
	L = (1, 64)(2, 67)(3, 71)(4, 65)(5, 74)(6, 73)(7, 61)(8, 70)(9, 76)(10, 62)(11, 72)(12, 81)(13, 63)(14, 75)(15, 83)(16, 66)(17, 79)(18, 80)(19, 68)(20, 69)(21, 82)(22, 89)(23, 84)(24, 85)(25, 87)(26, 88)(27, 77)(28, 78)(29, 90)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E21.223
Graph:: bipartite
	v = 3 e = 60 f = 17
	degree seq :: [ 30^2, 60 ]

E21.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 15, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3, Y3^-1 * Y2^2 * Y3^-1, (Y3^-1 * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, (Y2, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^2 * Y1, Y2^-2 * Y3^-5 * Y1, Y1 * Y2^22 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 17, 47, 19, 49, 26, 56, 28, 58, 30, 60, 22, 52, 23, 53, 11, 41, 15, 45, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 16, 46, 6, 36, 9, 39, 18, 48, 20, 50, 25, 55, 27, 57, 29, 59, 21, 51, 24, 54, 12, 42, 13, 43)(61, 91, 63, 93, 71, 101, 81, 111, 88, 118, 80, 110, 70, 100, 76, 106, 65, 95, 73, 103, 83, 113, 89, 119, 86, 116, 78, 108, 67, 97, 74, 104, 64, 94, 72, 102, 82, 112, 87, 117, 79, 109, 69, 99, 62, 92, 68, 98, 75, 105, 84, 114, 90, 120, 85, 115, 77, 107, 66, 96)
	L = (1, 64)(2, 65)(3, 72)(4, 71)(5, 75)(6, 74)(7, 61)(8, 73)(9, 76)(10, 62)(11, 82)(12, 81)(13, 84)(14, 63)(15, 83)(16, 68)(17, 67)(18, 66)(19, 70)(20, 69)(21, 87)(22, 88)(23, 90)(24, 89)(25, 78)(26, 77)(27, 80)(28, 79)(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) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 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 E21.224
Graph:: bipartite
	v = 3 e = 60 f = 17
	degree seq :: [ 30^2, 60 ]

E21.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^3 * Y2^-2, Y2^5 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 19, 49)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(15, 45, 23, 53)(16, 46, 24, 54)(17, 47, 25, 55)(18, 48, 26, 56)(27, 57, 30, 60)(28, 58, 29, 59)(61, 91, 63, 93, 71, 101, 84, 114, 69, 99, 62, 92, 67, 97, 79, 109, 76, 106, 65, 95)(64, 94, 72, 102, 87, 117, 86, 116, 83, 113, 68, 98, 80, 110, 90, 120, 78, 108, 75, 105)(66, 96, 73, 103, 74, 104, 88, 118, 85, 115, 70, 100, 81, 111, 82, 112, 89, 119, 77, 107)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 87)(12, 88)(13, 63)(14, 71)(15, 73)(16, 78)(17, 65)(18, 66)(19, 90)(20, 89)(21, 67)(22, 79)(23, 81)(24, 86)(25, 69)(26, 70)(27, 85)(28, 84)(29, 76)(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) :: { ( 60^4 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E21.238
Graph:: bipartite
	v = 18 e = 60 f = 2
	degree seq :: [ 4^15, 20^3 ]

E21.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, (Y2^-1, Y1), (Y2^-1, Y3), (R * Y2)^2, Y3^5, Y3 * Y1^-4, Y3^-1 * Y2^3 * Y1, Y1^-1 * Y2^2 * Y1^-2 * Y2, Y3 * Y2^2 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 4, 34, 10, 40, 7, 37, 12, 42, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 29, 59, 14, 44, 25, 55, 16, 46, 21, 51, 27, 57, 15, 45)(6, 36, 11, 41, 24, 54, 13, 43, 19, 49, 26, 56, 22, 52, 28, 58, 30, 60, 20, 50)(61, 91, 63, 93, 73, 103, 78, 108, 89, 119, 82, 112, 67, 97, 76, 106, 80, 110, 65, 95, 75, 105, 84, 114, 68, 98, 83, 113, 86, 116, 70, 100, 85, 115, 90, 120, 77, 107, 87, 117, 71, 101, 62, 92, 69, 99, 79, 109, 64, 94, 74, 104, 88, 118, 72, 102, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 85)(10, 65)(11, 86)(12, 62)(13, 88)(14, 87)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 73)(21, 69)(22, 66)(23, 76)(24, 82)(25, 75)(26, 80)(27, 83)(28, 71)(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) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.237
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 20^3, 60 ]

E21.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^-1), (Y3 * Y1)^2, (Y2, Y3), Y3^-2 * Y1^-2, (R * Y1)^2, Y2^2 * Y1^-1 * Y2, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1^2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, (Y2^-1 * Y3)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 4, 34, 10, 40, 7, 37, 12, 42, 16, 46, 5, 35)(3, 33, 9, 39, 21, 51, 28, 58, 13, 43, 23, 53, 15, 45, 24, 54, 27, 57, 14, 44)(6, 36, 11, 41, 22, 52, 30, 60, 18, 48, 25, 55, 20, 50, 26, 56, 29, 59, 19, 49)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 82, 112, 68, 98, 81, 111, 90, 120, 77, 107, 88, 118, 78, 108, 64, 94, 73, 103, 85, 115, 70, 100, 83, 113, 80, 110, 67, 97, 75, 105, 86, 116, 72, 102, 84, 114, 89, 119, 76, 106, 87, 117, 79, 109, 65, 95, 74, 104, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 67)(9, 83)(10, 65)(11, 85)(12, 62)(13, 87)(14, 88)(15, 63)(16, 68)(17, 72)(18, 89)(19, 90)(20, 66)(21, 75)(22, 80)(23, 74)(24, 69)(25, 79)(26, 71)(27, 81)(28, 84)(29, 82)(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) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.236
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 20^3, 60 ]

E21.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-1, Y1^-1), Y2^-3 * Y1^-1, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, Y3^-1 * Y1^4, Y3^5, Y3^2 * Y2^-1 * Y1 * Y2^-2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 4, 34, 10, 40, 7, 37, 12, 42, 17, 47, 5, 35)(3, 33, 9, 39, 21, 51, 30, 60, 14, 44, 23, 53, 16, 46, 24, 54, 29, 59, 15, 45)(6, 36, 11, 41, 22, 52, 27, 57, 19, 49, 25, 55, 20, 50, 26, 56, 28, 58, 13, 43)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 88, 118, 77, 107, 89, 119, 86, 116, 72, 102, 84, 114, 80, 110, 67, 97, 76, 106, 85, 115, 70, 100, 83, 113, 79, 109, 64, 94, 74, 104, 87, 117, 78, 108, 90, 120, 82, 112, 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, 67)(9, 83)(10, 65)(11, 85)(12, 62)(13, 87)(14, 89)(15, 90)(16, 63)(17, 68)(18, 72)(19, 88)(20, 66)(21, 76)(22, 80)(23, 75)(24, 69)(25, 73)(26, 71)(27, 86)(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) :: { ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.235
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 20^3, 60 ]

E21.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y1 * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (Y1^-1, Y3), (R * Y2)^2, Y3^5, Y1^3 * Y3^2 * Y2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1^2 * Y2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 19, 49, 30, 60, 15, 45, 4, 34, 9, 39, 21, 51, 13, 43, 24, 54, 29, 59, 14, 44, 25, 55, 12, 42, 3, 33, 8, 38, 20, 50, 18, 48, 26, 56, 28, 58, 11, 41, 23, 53, 17, 47, 6, 36, 10, 40, 22, 52, 27, 57, 16, 46, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 80, 110)(69, 99, 83, 113)(70, 100, 84, 114)(74, 104, 87, 117)(75, 105, 88, 118)(76, 106, 85, 115)(77, 107, 81, 111)(78, 108, 79, 109)(82, 112, 89, 119)(86, 116, 90, 120)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 75)(6, 61)(7, 81)(8, 83)(9, 85)(10, 62)(11, 87)(12, 88)(13, 63)(14, 78)(15, 89)(16, 90)(17, 65)(18, 66)(19, 73)(20, 77)(21, 72)(22, 67)(23, 76)(24, 68)(25, 86)(26, 70)(27, 79)(28, 82)(29, 80)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.234
Graph:: bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 4^15, 60 ]

E21.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1^3 * Y2, Y3^5, Y3^-2 * Y2 * Y1^-1 * Y3^-2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 11, 41, 20, 50, 26, 56, 14, 44, 21, 51, 29, 59, 25, 55, 27, 57, 17, 47, 6, 36, 10, 40, 12, 42, 3, 33, 8, 38, 15, 45, 4, 34, 9, 39, 19, 49, 23, 53, 30, 60, 28, 58, 18, 48, 22, 52, 24, 54, 13, 43, 16, 46, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 75, 105)(69, 99, 80, 110)(70, 100, 76, 106)(74, 104, 83, 113)(77, 107, 84, 114)(78, 108, 85, 115)(79, 109, 86, 116)(81, 111, 90, 120)(82, 112, 87, 117)(88, 118, 89, 119)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 75)(6, 61)(7, 79)(8, 80)(9, 81)(10, 62)(11, 83)(12, 67)(13, 63)(14, 78)(15, 86)(16, 68)(17, 65)(18, 66)(19, 89)(20, 90)(21, 82)(22, 70)(23, 85)(24, 72)(25, 73)(26, 88)(27, 76)(28, 77)(29, 84)(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, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 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 E21.233
Graph:: bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 4^15, 60 ]

E21.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1^2 * Y3 * Y1, Y3^5, Y3^2 * Y2 * Y1^-1 * Y3^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 13, 43, 20, 50, 28, 58, 18, 48, 22, 52, 29, 59, 23, 53, 27, 57, 15, 45, 4, 34, 9, 39, 12, 42, 3, 33, 8, 38, 17, 47, 6, 36, 10, 40, 19, 49, 25, 55, 30, 60, 26, 56, 14, 44, 21, 51, 24, 54, 11, 41, 16, 46, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 77, 107)(69, 99, 76, 106)(70, 100, 80, 110)(74, 104, 83, 113)(75, 105, 84, 114)(78, 108, 85, 115)(79, 109, 88, 118)(81, 111, 87, 117)(82, 112, 90, 120)(86, 116, 89, 119)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 75)(6, 61)(7, 72)(8, 76)(9, 81)(10, 62)(11, 83)(12, 84)(13, 63)(14, 78)(15, 86)(16, 87)(17, 65)(18, 66)(19, 67)(20, 68)(21, 82)(22, 70)(23, 85)(24, 89)(25, 73)(26, 88)(27, 90)(28, 77)(29, 79)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 60, 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 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 E21.232
Graph:: bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 4^15, 60 ]

E21.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y1^2, Y2^2 * Y3^-2, (Y2^-1, Y3^-1), (Y2, Y1), (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-6, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2, Y3^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 11, 41, 19, 49, 22, 52, 28, 58, 29, 59, 25, 55, 24, 54, 18, 48, 15, 45, 6, 36, 10, 40, 14, 44, 13, 43, 3, 33, 8, 38, 12, 42, 20, 50, 21, 51, 27, 57, 30, 60, 26, 56, 23, 53, 17, 47, 16, 46, 7, 37, 5, 35)(61, 91, 63, 93, 71, 101, 81, 111, 89, 119, 83, 113, 75, 105, 65, 95, 73, 103, 69, 99, 80, 110, 88, 118, 86, 116, 78, 108, 67, 97, 74, 104, 64, 94, 72, 102, 82, 112, 90, 120, 84, 114, 76, 106, 70, 100, 62, 92, 68, 98, 79, 109, 87, 117, 85, 115, 77, 107, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 71)(5, 62)(6, 74)(7, 61)(8, 80)(9, 79)(10, 73)(11, 82)(12, 81)(13, 68)(14, 63)(15, 70)(16, 65)(17, 67)(18, 66)(19, 88)(20, 87)(21, 90)(22, 89)(23, 76)(24, 75)(25, 78)(26, 77)(27, 86)(28, 85)(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) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E21.231
Graph:: bipartite
	v = 2 e = 60 f = 18
	degree seq :: [ 60^2 ]

E21.239 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = C4 x D16 (small group id <64, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3^-2 * Y1, Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y1^4, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-2 * Y2^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-1, Y1 * Y2 * Y3^6, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 22, 54, 29, 61, 27, 59, 13, 45, 7, 39)(2, 34, 10, 42, 6, 38, 18, 50, 26, 58, 31, 63, 21, 53, 12, 44)(3, 35, 14, 46, 25, 57, 32, 64, 23, 55, 17, 49, 5, 37, 16, 48)(8, 40, 19, 51, 11, 43, 24, 56, 30, 62, 28, 60, 15, 47, 20, 52)(65, 66, 72, 69)(67, 77, 70, 79)(68, 76, 83, 81)(71, 74, 84, 80)(73, 85, 75, 87)(78, 91, 82, 92)(86, 95, 88, 96)(89, 93, 90, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 115, 106)(103, 110, 116, 114)(108, 118, 113, 120)(109, 121, 111, 122)(117, 125, 119, 126)(123, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.244
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.240 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = C4 x D16 (small group id <64, 118>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2 * Y1, Y2^-2 * Y1^2, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^-6 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 26, 58, 29, 61, 23, 55, 9, 41, 7, 39)(2, 34, 10, 42, 21, 53, 30, 62, 27, 59, 17, 49, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 18, 50, 22, 54, 32, 64, 25, 57, 16, 48)(8, 40, 19, 51, 15, 47, 28, 60, 31, 63, 24, 56, 11, 43, 20, 52)(65, 66, 72, 69)(67, 77, 70, 79)(68, 76, 83, 78)(71, 74, 84, 82)(73, 85, 75, 86)(80, 90, 81, 92)(87, 94, 88, 96)(89, 93, 91, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 115, 113)(103, 110, 116, 108)(106, 119, 114, 120)(109, 121, 111, 123)(117, 125, 118, 127)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.245
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.241 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = (C8 x C4) : C2 (small group id <64, 176>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^2 * Y2, Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * R * Y1, Y3^-2 * Y2^2 * Y3^-2, Y3 * Y1 * Y3^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 22, 54, 8, 40, 21, 53, 20, 52, 7, 39)(2, 34, 10, 42, 25, 57, 16, 48, 5, 37, 18, 50, 28, 60, 12, 44)(3, 35, 13, 45, 29, 61, 17, 49, 6, 38, 19, 51, 30, 62, 14, 46)(9, 41, 23, 55, 31, 63, 26, 58, 11, 43, 27, 59, 32, 64, 24, 56)(65, 66, 72, 69)(67, 75, 70, 73)(68, 76, 85, 80)(71, 74, 86, 82)(77, 90, 83, 88)(78, 91, 81, 87)(79, 92, 84, 89)(93, 95, 94, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 117, 113)(103, 109, 118, 115)(106, 120, 114, 122)(108, 119, 112, 123)(111, 126, 116, 125)(121, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.246
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.242 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = C8 x D8 (small group id <64, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, Y2^-1 * Y3^2 * Y1^-1, Y1^-1 * Y3^2 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1^-1, (Y1, Y2^-1), (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 18, 50, 11, 43, 20, 52)(13, 45, 22, 54, 15, 47, 24, 56)(17, 49, 26, 58, 19, 51, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(25, 57, 31, 63, 27, 59, 32, 64)(65, 66, 72, 81, 89, 87, 77, 69)(67, 73, 70, 75, 83, 91, 85, 79)(68, 76, 82, 92, 95, 93, 86, 78)(71, 74, 84, 90, 96, 94, 88, 80)(97, 99, 109, 117, 121, 115, 104, 102)(98, 105, 101, 111, 119, 123, 113, 107)(100, 112, 118, 126, 127, 122, 114, 106)(103, 110, 120, 125, 128, 124, 116, 108)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.247
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.243 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C8 x C4) : C2 (small group id <64, 117>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, (Y1^-1, Y2), Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^2 * Y3 * Y1^-1 * Y2 * Y3, Y1^8, Y2^8, (Y3 * Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 28, 60, 12, 44)(3, 35, 14, 46, 22, 54, 16, 48)(5, 37, 20, 52, 24, 56, 18, 50)(6, 38, 21, 53, 31, 63, 19, 51)(8, 40, 23, 55, 15, 47, 25, 57)(9, 41, 26, 58, 32, 64, 27, 59)(11, 43, 30, 62, 13, 45, 29, 61)(65, 66, 72, 86, 96, 95, 77, 69)(67, 73, 70, 75, 88, 81, 92, 79)(68, 76, 87, 78, 91, 85, 93, 82)(71, 74, 89, 80, 90, 83, 94, 84)(97, 99, 109, 124, 128, 120, 104, 102)(98, 105, 101, 111, 127, 113, 118, 107)(100, 112, 125, 106, 123, 116, 119, 115)(103, 110, 126, 108, 122, 114, 121, 117)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.248
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.244 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = C4 x D16 (small group id <64, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3^-2 * Y1, Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y1^4, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-2 * Y2^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-1, Y1 * Y2 * Y3^6, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 22, 54, 86, 118, 29, 61, 93, 125, 27, 59, 91, 123, 13, 45, 77, 109, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 18, 50, 82, 114, 26, 58, 90, 122, 31, 63, 95, 127, 21, 53, 85, 117, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 25, 57, 89, 121, 32, 64, 96, 128, 23, 55, 87, 119, 17, 49, 81, 113, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 24, 56, 88, 120, 30, 62, 94, 126, 28, 60, 92, 124, 15, 47, 79, 111, 20, 52, 84, 116)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 47)(7, 42)(8, 37)(9, 53)(10, 52)(11, 55)(12, 51)(13, 38)(14, 59)(15, 35)(16, 39)(17, 36)(18, 60)(19, 49)(20, 48)(21, 43)(22, 63)(23, 41)(24, 64)(25, 61)(26, 62)(27, 50)(28, 46)(29, 58)(30, 57)(31, 56)(32, 54)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 100)(75, 98)(76, 118)(77, 121)(78, 116)(79, 122)(80, 115)(81, 120)(82, 103)(83, 106)(84, 114)(85, 125)(86, 113)(87, 126)(88, 108)(89, 111)(90, 109)(91, 128)(92, 127)(93, 119)(94, 117)(95, 123)(96, 124)
	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 E21.239
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.245 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = C4 x D16 (small group id <64, 118>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2 * Y1, Y2^-2 * Y1^2, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^-6 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 26, 58, 90, 122, 29, 61, 93, 125, 23, 55, 87, 119, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 21, 53, 85, 117, 30, 62, 94, 126, 27, 59, 91, 123, 17, 49, 81, 113, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 18, 50, 82, 114, 22, 54, 86, 118, 32, 64, 96, 128, 25, 57, 89, 121, 16, 48, 80, 112)(8, 40, 72, 104, 19, 51, 83, 115, 15, 47, 79, 111, 28, 60, 92, 124, 31, 63, 95, 127, 24, 56, 88, 120, 11, 43, 75, 107, 20, 52, 84, 116)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 47)(7, 42)(8, 37)(9, 53)(10, 52)(11, 54)(12, 51)(13, 38)(14, 36)(15, 35)(16, 58)(17, 60)(18, 39)(19, 46)(20, 50)(21, 43)(22, 41)(23, 62)(24, 64)(25, 61)(26, 49)(27, 63)(28, 48)(29, 59)(30, 56)(31, 57)(32, 55)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 119)(75, 98)(76, 103)(77, 121)(78, 116)(79, 123)(80, 115)(81, 100)(82, 120)(83, 113)(84, 108)(85, 125)(86, 127)(87, 114)(88, 106)(89, 111)(90, 128)(91, 109)(92, 126)(93, 118)(94, 122)(95, 117)(96, 124)
	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 E21.240
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.246 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = (C8 x C4) : C2 (small group id <64, 176>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^2 * Y2, Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * R * Y1, Y3^-2 * Y2^2 * Y3^-2, Y3 * Y1 * Y3^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 22, 54, 86, 118, 8, 40, 72, 104, 21, 53, 85, 117, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 16, 48, 80, 112, 5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 29, 61, 93, 125, 17, 49, 81, 113, 6, 38, 70, 102, 19, 51, 83, 115, 30, 62, 94, 126, 14, 46, 78, 110)(9, 41, 73, 105, 23, 55, 87, 119, 31, 63, 95, 127, 26, 58, 90, 122, 11, 43, 75, 107, 27, 59, 91, 123, 32, 64, 96, 128, 24, 56, 88, 120)
	L = (1, 34)(2, 40)(3, 43)(4, 44)(5, 33)(6, 41)(7, 42)(8, 37)(9, 35)(10, 54)(11, 38)(12, 53)(13, 58)(14, 59)(15, 60)(16, 36)(17, 55)(18, 39)(19, 56)(20, 57)(21, 48)(22, 50)(23, 46)(24, 45)(25, 47)(26, 51)(27, 49)(28, 52)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 120)(75, 98)(76, 119)(77, 118)(78, 117)(79, 126)(80, 123)(81, 100)(82, 122)(83, 103)(84, 125)(85, 113)(86, 115)(87, 112)(88, 114)(89, 128)(90, 106)(91, 108)(92, 127)(93, 111)(94, 116)(95, 121)(96, 124)
	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 E21.241
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.247 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = C8 x D8 (small group id <64, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, Y2^-1 * Y3^2 * Y1^-1, Y1^-1 * Y3^2 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3^-1 * Y1^-1, (Y1, Y2^-1), (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 18, 50, 82, 114, 11, 43, 75, 107, 20, 52, 84, 116)(13, 45, 77, 109, 22, 54, 86, 118, 15, 47, 79, 111, 24, 56, 88, 120)(17, 49, 81, 113, 26, 58, 90, 122, 19, 51, 83, 115, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(25, 57, 89, 121, 31, 63, 95, 127, 27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 44)(5, 33)(6, 43)(7, 42)(8, 49)(9, 38)(10, 52)(11, 51)(12, 50)(13, 37)(14, 36)(15, 35)(16, 39)(17, 57)(18, 60)(19, 59)(20, 58)(21, 47)(22, 46)(23, 45)(24, 48)(25, 55)(26, 64)(27, 53)(28, 63)(29, 54)(30, 56)(31, 61)(32, 62)(65, 99)(66, 105)(67, 109)(68, 112)(69, 111)(70, 97)(71, 110)(72, 102)(73, 101)(74, 100)(75, 98)(76, 103)(77, 117)(78, 120)(79, 119)(80, 118)(81, 107)(82, 106)(83, 104)(84, 108)(85, 121)(86, 126)(87, 123)(88, 125)(89, 115)(90, 114)(91, 113)(92, 116)(93, 128)(94, 127)(95, 122)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.242
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.248 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C8 x C4) : C2 (small group id <64, 117>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, (Y1^-1, Y2), Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^2 * Y3 * Y1^-1 * Y2 * Y3, Y1^8, Y2^8, (Y3 * Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 22, 54, 86, 118, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 24, 56, 88, 120, 18, 50, 82, 114)(6, 38, 70, 102, 21, 53, 85, 117, 31, 63, 95, 127, 19, 51, 83, 115)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 32, 64, 96, 128, 27, 59, 91, 123)(11, 43, 75, 107, 30, 62, 94, 126, 13, 45, 77, 109, 29, 61, 93, 125)
	L = (1, 34)(2, 40)(3, 41)(4, 44)(5, 33)(6, 43)(7, 42)(8, 54)(9, 38)(10, 57)(11, 56)(12, 55)(13, 37)(14, 59)(15, 35)(16, 58)(17, 60)(18, 36)(19, 62)(20, 39)(21, 61)(22, 64)(23, 46)(24, 49)(25, 48)(26, 51)(27, 53)(28, 47)(29, 50)(30, 52)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 112)(69, 111)(70, 97)(71, 110)(72, 102)(73, 101)(74, 123)(75, 98)(76, 122)(77, 124)(78, 126)(79, 127)(80, 125)(81, 118)(82, 121)(83, 100)(84, 119)(85, 103)(86, 107)(87, 115)(88, 104)(89, 117)(90, 114)(91, 116)(92, 128)(93, 106)(94, 108)(95, 113)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.243
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y1, Y3), (R * Y1)^2, (R * Y2)^2, Y2^4, Y1^4, 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 15, 47)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 11, 43, 22, 54, 17, 49)(7, 39, 12, 44, 23, 55, 18, 50)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 25, 57, 31, 63, 28, 60)(19, 51, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 78, 110, 83, 115, 71, 103)(69, 101, 79, 111, 91, 123, 81, 113)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 89, 121, 90, 122, 76, 108)(80, 112, 92, 124, 93, 125, 82, 114)(85, 117, 95, 127, 96, 128, 87, 119)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 80)(6, 71)(7, 65)(8, 85)(9, 89)(10, 73)(11, 76)(12, 66)(13, 83)(14, 77)(15, 92)(16, 79)(17, 82)(18, 69)(19, 70)(20, 95)(21, 84)(22, 87)(23, 72)(24, 90)(25, 88)(26, 75)(27, 93)(28, 91)(29, 81)(30, 96)(31, 94)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.267
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1), Y2^4, 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 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 14, 46)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 11, 43, 22, 54, 18, 50)(7, 39, 12, 44, 23, 55, 19, 51)(13, 45, 24, 56, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(17, 49, 26, 58, 32, 64, 29, 61)(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, 82, 114)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 76, 108, 89, 121, 90, 122)(80, 112, 83, 115, 92, 124, 93, 125)(85, 117, 87, 119, 95, 127, 96, 128)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 80)(6, 81)(7, 65)(8, 85)(9, 76)(10, 75)(11, 90)(12, 66)(13, 79)(14, 83)(15, 67)(16, 82)(17, 77)(18, 93)(19, 69)(20, 87)(21, 86)(22, 96)(23, 72)(24, 89)(25, 73)(26, 88)(27, 92)(28, 78)(29, 91)(30, 95)(31, 84)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.268
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^4, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 7, 39, 13, 45, 10, 42)(5, 37, 8, 40, 14, 46, 11, 43)(9, 41, 15, 47, 21, 53, 18, 50)(12, 44, 16, 48, 22, 54, 19, 51)(17, 49, 23, 55, 28, 60, 26, 58)(20, 52, 24, 56, 29, 61, 27, 59)(25, 57, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 91, 123, 83, 115, 75, 107)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 10, 42, 20, 52, 16, 48)(11, 43, 21, 53, 29, 61, 25, 57)(12, 44, 22, 54, 30, 62, 26, 58)(15, 47, 23, 55, 31, 63, 27, 59)(17, 49, 24, 56, 32, 64, 28, 60)(65, 97, 67, 99, 75, 107, 79, 111, 68, 100, 76, 108, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 87, 119, 73, 105, 86, 118, 88, 120, 74, 106)(69, 101, 77, 109, 89, 121, 91, 123, 78, 110, 90, 122, 92, 124, 80, 112)(71, 103, 82, 114, 93, 125, 95, 127, 83, 115, 94, 126, 96, 128, 84, 116)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 81)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 75)(18, 94)(19, 71)(20, 95)(21, 88)(22, 72)(23, 74)(24, 85)(25, 92)(26, 77)(27, 80)(28, 89)(29, 96)(30, 82)(31, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y2^-1 * Y3 * Y2 * Y3, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 7, 39, 10, 42, 11, 43)(6, 38, 8, 40, 12, 44, 13, 45)(9, 41, 15, 47, 18, 50, 19, 51)(14, 46, 16, 48, 20, 52, 21, 53)(17, 49, 23, 55, 26, 58, 27, 59)(22, 54, 24, 56, 28, 60, 29, 61)(25, 57, 30, 62, 31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 86, 118, 78, 110, 70, 102)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 92, 124, 84, 116, 76, 108)(69, 101, 75, 107, 83, 115, 91, 123, 96, 128, 93, 125, 85, 117, 77, 109)
	L = (1, 68)(2, 69)(3, 74)(4, 65)(5, 66)(6, 76)(7, 75)(8, 77)(9, 82)(10, 67)(11, 71)(12, 70)(13, 72)(14, 84)(15, 83)(16, 85)(17, 90)(18, 73)(19, 79)(20, 78)(21, 80)(22, 92)(23, 91)(24, 93)(25, 95)(26, 81)(27, 87)(28, 86)(29, 88)(30, 96)(31, 89)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y1^-2 * Y2 * Y3 * Y2^3, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y3, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 10, 42, 20, 52, 16, 48)(11, 43, 21, 53, 30, 62, 27, 59)(12, 44, 22, 54, 32, 64, 28, 60)(15, 47, 23, 55, 25, 57, 29, 61)(17, 49, 24, 56, 26, 58, 31, 63)(65, 97, 67, 99, 75, 107, 89, 121, 83, 115, 96, 128, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 93, 125, 78, 110, 92, 124, 88, 120, 74, 106)(68, 100, 76, 108, 90, 122, 84, 116, 71, 103, 82, 114, 94, 126, 79, 111)(69, 101, 77, 109, 91, 123, 87, 119, 73, 105, 86, 118, 95, 127, 80, 112)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 90)(12, 67)(13, 92)(14, 69)(15, 70)(16, 93)(17, 94)(18, 96)(19, 71)(20, 89)(21, 95)(22, 72)(23, 74)(24, 91)(25, 84)(26, 75)(27, 88)(28, 77)(29, 80)(30, 81)(31, 85)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (R * Y3)^2, Y3^4, (Y1, Y2^-1), (R * Y2)^2, Y1^4, (Y1, Y3^-1), (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 14, 46)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 11, 43, 22, 54, 17, 49)(7, 39, 12, 44, 23, 55, 18, 50)(13, 45, 24, 56, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(19, 51, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 68, 100, 77, 109, 79, 111, 83, 115, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 88, 120, 89, 121, 90, 122, 76, 108, 75, 107)(69, 101, 78, 110, 80, 112, 91, 123, 92, 124, 93, 125, 82, 114, 81, 113)(72, 104, 84, 116, 85, 117, 94, 126, 95, 127, 96, 128, 87, 119, 86, 118)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 80)(6, 67)(7, 65)(8, 85)(9, 88)(10, 89)(11, 73)(12, 66)(13, 83)(14, 91)(15, 71)(16, 92)(17, 78)(18, 69)(19, 70)(20, 94)(21, 95)(22, 84)(23, 72)(24, 90)(25, 76)(26, 75)(27, 93)(28, 82)(29, 81)(30, 96)(31, 87)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y1)^2, Y3^4, (R * Y2)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 13, 45)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 11, 43, 22, 54, 18, 50)(7, 39, 12, 44, 23, 55, 19, 51)(14, 46, 24, 56, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(17, 49, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 71, 103, 78, 110, 79, 111, 81, 113, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 88, 120, 89, 121, 90, 122, 74, 106, 75, 107)(69, 101, 77, 109, 83, 115, 91, 123, 92, 124, 93, 125, 80, 112, 82, 114)(72, 104, 84, 116, 87, 119, 94, 126, 95, 127, 96, 128, 85, 117, 86, 118)
	L = (1, 68)(2, 74)(3, 70)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 75)(10, 89)(11, 90)(12, 66)(13, 82)(14, 67)(15, 71)(16, 92)(17, 78)(18, 93)(19, 69)(20, 86)(21, 95)(22, 96)(23, 72)(24, 73)(25, 76)(26, 88)(27, 77)(28, 83)(29, 91)(30, 84)(31, 87)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1, Y1^-4, (Y3, Y2), (Y3, Y1^-1), Y1^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 17, 49, 6, 38)(4, 36, 10, 42, 20, 52, 15, 47)(7, 39, 11, 43, 21, 53, 18, 50)(12, 44, 22, 54, 28, 60, 16, 48)(13, 45, 23, 55, 29, 61, 19, 51)(14, 46, 24, 56, 30, 62, 26, 58)(25, 57, 31, 63, 32, 64, 27, 59)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 81, 113, 69, 101, 70, 102)(68, 100, 76, 108, 74, 106, 86, 118, 84, 116, 92, 124, 79, 111, 80, 112)(71, 103, 77, 109, 75, 107, 87, 119, 85, 117, 93, 125, 82, 114, 83, 115)(78, 110, 89, 121, 88, 120, 95, 127, 94, 126, 96, 128, 90, 122, 91, 123)
	L = (1, 68)(2, 74)(3, 76)(4, 78)(5, 79)(6, 80)(7, 65)(8, 84)(9, 86)(10, 88)(11, 66)(12, 89)(13, 67)(14, 71)(15, 90)(16, 91)(17, 92)(18, 69)(19, 70)(20, 94)(21, 72)(22, 95)(23, 73)(24, 75)(25, 77)(26, 82)(27, 83)(28, 96)(29, 81)(30, 85)(31, 87)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.263
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (R * Y2)^2, (Y3, Y1^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^4, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 20, 52, 16, 48)(7, 39, 11, 43, 21, 53, 18, 50)(12, 44, 17, 49, 23, 55, 26, 58)(14, 46, 19, 51, 24, 56, 27, 59)(15, 47, 22, 54, 30, 62, 28, 60)(25, 57, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 76, 108, 80, 112, 90, 122, 84, 116, 87, 119, 73, 105, 81, 113)(71, 103, 78, 110, 82, 114, 91, 123, 85, 117, 88, 120, 75, 107, 83, 115)(79, 111, 89, 121, 92, 124, 96, 128, 94, 126, 95, 127, 86, 118, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 84)(9, 86)(10, 87)(11, 66)(12, 89)(13, 90)(14, 67)(15, 71)(16, 92)(17, 93)(18, 69)(19, 70)(20, 94)(21, 72)(22, 75)(23, 95)(24, 74)(25, 78)(26, 96)(27, 77)(28, 82)(29, 83)(30, 85)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.261
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (Y3^-1, Y1), Y3^4, Y1^4, (R * Y2)^2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y3^2 * Y1 * Y2^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y2^8, 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, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 15, 47)(4, 36, 10, 42, 25, 57, 18, 50)(6, 38, 11, 43, 26, 58, 20, 52)(7, 39, 12, 44, 27, 59, 21, 53)(13, 45, 28, 60, 22, 54, 17, 49)(14, 46, 29, 61, 32, 64, 23, 55)(16, 48, 30, 62, 31, 63, 19, 51)(65, 97, 67, 99, 77, 109, 90, 122, 72, 104, 88, 120, 86, 118, 70, 102)(66, 98, 73, 105, 92, 124, 84, 116, 69, 101, 79, 111, 81, 113, 75, 107)(68, 100, 78, 110, 76, 108, 94, 126, 89, 121, 96, 128, 85, 117, 83, 115)(71, 103, 80, 112, 74, 106, 93, 125, 91, 123, 95, 127, 82, 114, 87, 119)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 89)(9, 93)(10, 77)(11, 80)(12, 66)(13, 76)(14, 75)(15, 87)(16, 67)(17, 71)(18, 86)(19, 79)(20, 95)(21, 69)(22, 85)(23, 70)(24, 96)(25, 92)(26, 94)(27, 72)(28, 91)(29, 90)(30, 73)(31, 88)(32, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.262
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2^-1), (R * Y1)^2, (Y3, Y2^-1), Y1^4, Y3^4, (R * Y3)^2, (Y1^-1, Y3), (R * Y2)^2, Y2^2 * Y1 * Y3^-2, Y3 * Y1 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 15, 47)(4, 36, 10, 42, 25, 57, 18, 50)(6, 38, 11, 43, 26, 58, 20, 52)(7, 39, 12, 44, 27, 59, 21, 53)(13, 45, 17, 49, 22, 54, 29, 61)(14, 46, 23, 55, 30, 62, 31, 63)(16, 48, 19, 51, 28, 60, 32, 64)(65, 97, 67, 99, 77, 109, 90, 122, 72, 104, 88, 120, 86, 118, 70, 102)(66, 98, 73, 105, 81, 113, 84, 116, 69, 101, 79, 111, 93, 125, 75, 107)(68, 100, 78, 110, 85, 117, 96, 128, 89, 121, 94, 126, 76, 108, 83, 115)(71, 103, 80, 112, 82, 114, 95, 127, 91, 123, 92, 124, 74, 106, 87, 119)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 89)(9, 87)(10, 86)(11, 92)(12, 66)(13, 85)(14, 84)(15, 95)(16, 67)(17, 71)(18, 77)(19, 73)(20, 80)(21, 69)(22, 76)(23, 70)(24, 94)(25, 93)(26, 96)(27, 72)(28, 88)(29, 91)(30, 75)(31, 90)(32, 79)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.264
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2^-2, (Y3, Y1^-1), (R * Y1)^2, Y3^4, (Y2^-1, Y3), Y1^4, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3 * Y2^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 15, 47)(4, 36, 10, 42, 21, 53, 13, 45)(6, 38, 11, 43, 22, 54, 16, 48)(7, 39, 12, 44, 23, 55, 18, 50)(14, 46, 24, 56, 30, 62, 27, 59)(17, 49, 25, 57, 31, 63, 28, 60)(19, 51, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 91, 123, 95, 127, 90, 122, 76, 108, 70, 102)(66, 98, 73, 105, 68, 100, 78, 110, 92, 124, 96, 128, 87, 119, 75, 107)(69, 101, 79, 111, 85, 117, 94, 126, 89, 121, 83, 115, 71, 103, 80, 112)(72, 104, 84, 116, 74, 106, 88, 120, 81, 113, 93, 125, 82, 114, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 77)(6, 73)(7, 65)(8, 85)(9, 88)(10, 89)(11, 84)(12, 66)(13, 92)(14, 93)(15, 91)(16, 67)(17, 71)(18, 69)(19, 70)(20, 94)(21, 95)(22, 79)(23, 72)(24, 83)(25, 76)(26, 75)(27, 96)(28, 82)(29, 80)(30, 90)(31, 87)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.258
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2 * Y1^-1, (Y2, Y3^-1), Y2^-2 * Y1 * Y3, (R * Y1)^2, (Y2, Y1^-1), (Y1, Y3^-1), Y3 * Y2^-1 * Y1 * Y2^-1, Y1^4, (R * Y2)^2, Y3^4, (R * Y3)^2, Y1 * Y3 * Y2^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 14, 46)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 11, 43, 22, 54, 17, 49)(7, 39, 12, 44, 23, 55, 18, 50)(13, 45, 24, 56, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(19, 51, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 74, 106, 88, 120, 95, 127, 93, 125, 82, 114, 70, 102)(66, 98, 73, 105, 85, 117, 94, 126, 92, 124, 83, 115, 71, 103, 75, 107)(68, 100, 77, 109, 89, 121, 96, 128, 87, 119, 81, 113, 69, 101, 78, 110)(72, 104, 84, 116, 80, 112, 91, 123, 79, 111, 90, 122, 76, 108, 86, 118)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 80)(6, 78)(7, 65)(8, 85)(9, 88)(10, 89)(11, 67)(12, 66)(13, 90)(14, 91)(15, 71)(16, 92)(17, 84)(18, 69)(19, 70)(20, 94)(21, 95)(22, 73)(23, 72)(24, 96)(25, 76)(26, 75)(27, 83)(28, 82)(29, 81)(30, 93)(31, 87)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.259
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1, (Y3, Y1^-1), Y2^2 * Y3 * Y1^-1, Y1^4, (R * Y2)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 13, 45)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 11, 43, 22, 54, 18, 50)(7, 39, 12, 44, 23, 55, 19, 51)(14, 46, 24, 56, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(17, 49, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 76, 108, 88, 120, 95, 127, 93, 125, 80, 112, 70, 102)(66, 98, 73, 105, 87, 119, 94, 126, 92, 124, 81, 113, 68, 100, 75, 107)(69, 101, 77, 109, 71, 103, 78, 110, 89, 121, 96, 128, 85, 117, 82, 114)(72, 104, 84, 116, 83, 115, 91, 123, 79, 111, 90, 122, 74, 106, 86, 118)
	L = (1, 68)(2, 74)(3, 75)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 86)(10, 89)(11, 90)(12, 66)(13, 70)(14, 67)(15, 71)(16, 92)(17, 91)(18, 93)(19, 69)(20, 82)(21, 95)(22, 96)(23, 72)(24, 73)(25, 76)(26, 78)(27, 77)(28, 83)(29, 94)(30, 84)(31, 87)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.257
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y1^4, Y1^-1 * Y2^-2 * Y3^-1, Y3 * Y1 * Y2^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^4, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2, Y2^2 * Y3^-1 * Y1 * Y3^-2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 15, 47)(4, 36, 10, 42, 21, 53, 18, 50)(6, 38, 11, 43, 22, 54, 14, 46)(7, 39, 12, 44, 23, 55, 13, 45)(16, 48, 24, 56, 30, 62, 27, 59)(17, 49, 25, 57, 31, 63, 28, 60)(19, 51, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 91, 123, 95, 127, 90, 122, 74, 106, 70, 102)(66, 98, 73, 105, 71, 103, 80, 112, 92, 124, 96, 128, 85, 117, 75, 107)(68, 100, 78, 110, 69, 101, 79, 111, 87, 119, 94, 126, 89, 121, 83, 115)(72, 104, 84, 116, 76, 108, 88, 120, 81, 113, 93, 125, 82, 114, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 85)(9, 70)(10, 89)(11, 90)(12, 66)(13, 69)(14, 93)(15, 86)(16, 67)(17, 71)(18, 92)(19, 88)(20, 75)(21, 95)(22, 96)(23, 72)(24, 73)(25, 76)(26, 94)(27, 79)(28, 77)(29, 80)(30, 84)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.260
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y2)^2, (Y3^-1, Y1^-1), (Y2, Y1^-1), (Y3, Y2^-1), (R * Y3)^2, Y1^4, (R * Y1)^2, Y1^-2 * Y2^2 * Y3^-1, Y3 * Y1^2 * Y2^-2, Y1^-2 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 19, 51, 15, 47)(4, 36, 10, 42, 13, 45, 18, 50)(6, 38, 11, 43, 16, 48, 20, 52)(7, 39, 12, 44, 22, 54, 21, 53)(14, 46, 24, 56, 27, 59, 30, 62)(17, 49, 25, 57, 28, 60, 31, 63)(23, 55, 26, 58, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 91, 123, 81, 113, 93, 125, 86, 118, 70, 102)(66, 98, 73, 105, 82, 114, 94, 126, 89, 121, 96, 128, 85, 117, 75, 107)(68, 100, 78, 110, 92, 124, 87, 119, 71, 103, 80, 112, 72, 104, 83, 115)(69, 101, 79, 111, 74, 106, 88, 120, 95, 127, 90, 122, 76, 108, 84, 116)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 77)(9, 88)(10, 89)(11, 79)(12, 66)(13, 92)(14, 93)(15, 94)(16, 67)(17, 71)(18, 95)(19, 91)(20, 73)(21, 69)(22, 72)(23, 70)(24, 96)(25, 76)(26, 75)(27, 87)(28, 86)(29, 80)(30, 90)(31, 85)(32, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.266
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (Y2^-1, Y3^-1), (Y3^-1, Y1^-1), (R * Y3)^2, Y1^4, Y3^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y3 * Y1, Y2^4 * Y3^2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 23, 55, 15, 47)(4, 36, 10, 42, 22, 54, 18, 50)(6, 38, 11, 43, 14, 46, 20, 52)(7, 39, 12, 44, 13, 45, 21, 53)(16, 48, 24, 56, 27, 59, 30, 62)(17, 49, 25, 57, 28, 60, 31, 63)(19, 51, 26, 58, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 91, 123, 81, 113, 93, 125, 86, 118, 70, 102)(66, 98, 73, 105, 85, 117, 94, 126, 89, 121, 96, 128, 82, 114, 75, 107)(68, 100, 78, 110, 72, 104, 87, 119, 71, 103, 80, 112, 92, 124, 83, 115)(69, 101, 79, 111, 76, 108, 88, 120, 95, 127, 90, 122, 74, 106, 84, 116)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 86)(9, 84)(10, 89)(11, 90)(12, 66)(13, 72)(14, 93)(15, 75)(16, 67)(17, 71)(18, 95)(19, 91)(20, 96)(21, 69)(22, 92)(23, 70)(24, 73)(25, 76)(26, 94)(27, 87)(28, 77)(29, 80)(30, 79)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.265
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y2^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, (Y3^-1, Y1^-1), Y3^-4 * Y1^4, (Y3 * Y2^-1)^4, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 25, 57, 13, 45, 5, 37)(3, 35, 7, 39, 15, 47, 27, 59, 22, 54, 32, 64, 21, 53, 10, 42)(4, 36, 8, 40, 16, 48, 28, 60, 19, 51, 31, 63, 24, 56, 12, 44)(9, 41, 17, 49, 29, 61, 23, 55, 11, 43, 18, 50, 30, 62, 20, 52)(65, 97, 67, 99, 73, 105, 83, 115, 90, 122, 86, 118, 75, 107, 68, 100)(66, 98, 71, 103, 81, 113, 95, 127, 89, 121, 96, 128, 82, 114, 72, 104)(69, 101, 74, 106, 84, 116, 92, 124, 78, 110, 91, 123, 87, 119, 76, 108)(70, 102, 79, 111, 93, 125, 88, 120, 77, 109, 85, 117, 94, 126, 80, 112)
	L = (1, 68)(2, 72)(3, 65)(4, 75)(5, 76)(6, 80)(7, 66)(8, 82)(9, 67)(10, 69)(11, 86)(12, 87)(13, 88)(14, 92)(15, 70)(16, 94)(17, 71)(18, 96)(19, 73)(20, 74)(21, 77)(22, 90)(23, 91)(24, 93)(25, 95)(26, 83)(27, 78)(28, 84)(29, 79)(30, 85)(31, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.249
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y2^-1, (Y2^-1, Y3^-1), (R * Y2)^2, (Y3^-1 * Y2^-1)^2, Y2^-2 * Y3 * Y2^-1, (R * Y1)^2, Y2 * Y3^2 * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 14, 46, 27, 59, 18, 50, 5, 37)(3, 35, 9, 41, 22, 54, 20, 52, 7, 39, 12, 44, 25, 57, 15, 47)(4, 36, 10, 42, 23, 55, 19, 51, 6, 38, 11, 43, 24, 56, 17, 49)(13, 45, 26, 58, 31, 63, 30, 62, 16, 48, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 68, 100, 78, 110, 71, 103, 80, 112, 70, 102)(66, 98, 73, 105, 90, 122, 74, 106, 91, 123, 76, 108, 92, 124, 75, 107)(69, 101, 79, 111, 93, 125, 81, 113, 85, 117, 84, 116, 94, 126, 83, 115)(72, 104, 86, 118, 95, 127, 87, 119, 82, 114, 89, 121, 96, 128, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 77)(7, 65)(8, 87)(9, 91)(10, 92)(11, 90)(12, 66)(13, 71)(14, 70)(15, 85)(16, 67)(17, 94)(18, 88)(19, 93)(20, 69)(21, 83)(22, 82)(23, 96)(24, 95)(25, 72)(26, 76)(27, 75)(28, 73)(29, 84)(30, 79)(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) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.250
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.269 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C4 x D8) : C2 (small group id <64, 123>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^-2 * Y2 * Y1^-1, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y1 * Y3^3 * Y1^-1, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 23, 55, 32, 64, 20, 52, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 14, 46, 27, 59, 11, 43, 24, 56, 8, 40)(3, 35, 9, 41, 25, 57, 15, 47, 28, 60, 12, 44, 26, 58, 10, 42)(6, 38, 17, 49, 29, 61, 22, 54, 31, 63, 19, 51, 30, 62, 18, 50)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 85, 93, 89)(80, 88, 94, 90)(91, 95, 92, 96)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 121, 125, 117)(112, 122, 126, 120)(123, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.281
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.270 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C4 x D8) : C2 (small group id <64, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y1^4, Y1^-2 * Y2^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3, R * Y1 * R * Y2, Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 24, 56, 31, 63, 27, 59, 13, 45, 7, 39)(2, 34, 10, 42, 6, 38, 17, 49, 30, 62, 19, 51, 23, 55, 12, 44)(3, 35, 14, 46, 29, 61, 18, 50, 25, 57, 20, 52, 5, 37, 16, 48)(8, 40, 21, 53, 11, 43, 26, 58, 32, 64, 28, 60, 15, 47, 22, 54)(65, 66, 72, 69)(67, 77, 70, 79)(68, 81, 85, 78)(71, 83, 86, 82)(73, 87, 75, 89)(74, 90, 80, 88)(76, 92, 84, 91)(93, 95, 94, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 114, 117, 115)(103, 116, 118, 108)(106, 123, 112, 124)(109, 125, 111, 126)(110, 122, 113, 120)(119, 127, 121, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.282
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.271 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C4 x D8) : C2 (small group id <64, 123>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^-2, Y1^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2, (R * Y3)^2, Y2^-2 * Y1^-2, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^3 * Y2^-1, Y3^-1 * Y2^-2 * Y3 * Y1^-2, Y2^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 27, 59, 31, 63, 25, 57, 9, 41, 7, 39)(2, 34, 10, 42, 23, 55, 17, 49, 30, 62, 20, 52, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 18, 50, 24, 56, 19, 51, 29, 61, 16, 48)(8, 40, 21, 53, 15, 47, 26, 58, 32, 64, 28, 60, 11, 43, 22, 54)(65, 66, 72, 69)(67, 77, 70, 79)(68, 81, 85, 83)(71, 84, 86, 80)(73, 87, 75, 88)(74, 90, 82, 91)(76, 92, 78, 89)(93, 95, 94, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 114, 117, 106)(103, 115, 118, 113)(108, 123, 110, 122)(109, 125, 111, 126)(112, 124, 116, 121)(119, 127, 120, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.283
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.272 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^-2 * Y2 * Y1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (Y2, Y1^-1), Y2^4, Y1^4, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 27, 59, 32, 64, 29, 61, 21, 53, 7, 39)(2, 34, 10, 42, 22, 54, 20, 52, 31, 63, 17, 49, 6, 38, 12, 44)(3, 35, 14, 46, 26, 58, 19, 51, 24, 56, 18, 50, 5, 37, 16, 48)(8, 40, 23, 55, 15, 47, 30, 62, 13, 45, 28, 60, 11, 43, 25, 57)(65, 66, 72, 69)(67, 73, 86, 79)(68, 81, 87, 83)(70, 75, 88, 85)(71, 84, 89, 78)(74, 92, 80, 93)(76, 94, 82, 91)(77, 90, 96, 95)(97, 99, 109, 102)(98, 105, 122, 107)(100, 114, 124, 116)(101, 111, 127, 117)(103, 115, 126, 106)(104, 118, 128, 120)(108, 125, 110, 119)(112, 121, 113, 123)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.284
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.273 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1^3 * Y2, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y2^4, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^3 * Y1 * Y3, Y3 * Y1 * Y3^3 * Y1^-1, (Y1, Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 23, 55, 32, 64, 21, 53, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 14, 46, 25, 57, 9, 41, 24, 56, 8, 40)(4, 36, 12, 44, 26, 58, 15, 47, 28, 60, 11, 43, 27, 59, 13, 45)(6, 38, 17, 49, 29, 61, 22, 54, 31, 63, 19, 51, 30, 62, 18, 50)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 93, 90)(80, 88, 94, 91)(89, 95, 92, 96)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 116, 125, 122)(112, 120, 126, 123)(121, 127, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.285
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.274 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-1, Y2^-2 * Y1^2, Y2^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^2, Y2^-2 * Y3^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y1^-1 * Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 22, 54, 8, 40, 21, 53, 20, 52, 7, 39)(2, 34, 10, 42, 26, 58, 15, 47, 5, 37, 18, 50, 28, 60, 12, 44)(3, 35, 13, 45, 29, 61, 16, 48, 6, 38, 19, 51, 30, 62, 14, 46)(9, 41, 23, 55, 31, 63, 25, 57, 11, 43, 27, 59, 32, 64, 24, 56)(65, 66, 72, 69)(67, 75, 70, 73)(68, 79, 85, 76)(71, 82, 86, 74)(77, 88, 83, 89)(78, 87, 80, 91)(81, 92, 84, 90)(93, 95, 94, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 117, 110)(103, 115, 118, 109)(106, 121, 114, 120)(108, 123, 111, 119)(113, 126, 116, 125)(122, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.286
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.275 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^3 * Y3 * Y1^-1 * Y3^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-2 * Y3^-1 * Y1^-1, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^8, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 26, 58, 11, 43)(6, 38, 18, 50, 30, 62, 19, 51)(9, 41, 20, 52, 31, 63, 23, 55)(12, 44, 27, 59, 15, 47, 25, 57)(13, 45, 28, 60, 16, 48, 17, 49)(21, 53, 32, 64, 24, 56, 29, 61)(65, 66, 70, 81, 93, 89, 73, 67)(68, 76, 82, 74, 85, 71, 84, 77)(69, 79, 83, 75, 88, 72, 87, 80)(78, 86, 94, 92, 96, 91, 95, 90)(97, 99, 105, 121, 125, 113, 102, 98)(100, 109, 116, 103, 117, 106, 114, 108)(101, 112, 119, 104, 120, 107, 115, 111)(110, 122, 127, 123, 128, 124, 126, 118)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.287
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.276 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y3, Y2^2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^8, Y3^2 * Y2^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 26, 58, 11, 43)(6, 38, 18, 50, 30, 62, 19, 51)(9, 41, 23, 55, 31, 63, 20, 52)(12, 44, 25, 57, 15, 47, 27, 59)(13, 45, 17, 49, 16, 48, 28, 60)(21, 53, 29, 61, 24, 56, 32, 64)(65, 66, 70, 81, 93, 89, 73, 67)(68, 76, 82, 75, 88, 72, 87, 77)(69, 79, 83, 74, 85, 71, 84, 80)(78, 86, 94, 92, 96, 91, 95, 90)(97, 99, 105, 121, 125, 113, 102, 98)(100, 109, 119, 104, 120, 107, 114, 108)(101, 112, 116, 103, 117, 106, 115, 111)(110, 122, 127, 123, 128, 124, 126, 118)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.288
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.277 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y1, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (Y2 * Y1)^2, Y1^-2 * Y2^-2, Y3^-1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y3^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y3, Y3 * Y2^-1 * Y3 * Y2^5 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 22, 54, 11, 43, 24, 56)(13, 45, 28, 60, 15, 47, 25, 57)(17, 49, 30, 62, 20, 52, 29, 61)(18, 50, 23, 55, 19, 51, 21, 53)(26, 58, 32, 64, 27, 59, 31, 63)(65, 66, 72, 85, 95, 94, 77, 69)(67, 73, 70, 75, 87, 96, 93, 79)(68, 81, 86, 78, 90, 76, 92, 83)(71, 84, 88, 80, 91, 74, 89, 82)(97, 99, 109, 125, 127, 119, 104, 102)(98, 105, 101, 111, 126, 128, 117, 107)(100, 114, 124, 106, 122, 112, 118, 116)(103, 115, 121, 108, 123, 110, 120, 113)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.289
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.278 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y1^-1, Y3^-2 * Y2 * Y1, Y2^2 * Y1^2, Y1 * Y2 * Y3^2, (Y1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2^-2 * Y3 * Y2^2, Y1^-2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y2 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y3 * Y2^-3, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 22, 54, 11, 43, 24, 56)(13, 45, 25, 57, 15, 47, 28, 60)(17, 49, 29, 61, 20, 52, 30, 62)(18, 50, 21, 53, 19, 51, 23, 55)(26, 58, 31, 63, 27, 59, 32, 64)(65, 66, 72, 85, 95, 94, 77, 69)(67, 73, 70, 75, 87, 96, 93, 79)(68, 81, 86, 80, 91, 74, 89, 83)(71, 84, 88, 78, 90, 76, 92, 82)(97, 99, 109, 125, 127, 119, 104, 102)(98, 105, 101, 111, 126, 128, 117, 107)(100, 114, 121, 108, 123, 110, 118, 116)(103, 115, 124, 106, 122, 112, 120, 113)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.290
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.279 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, Y2 * Y1^-2 * Y2, Y1^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1^-1, Y3^4, Y3^-2 * Y2 * Y1^3, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-3 * Y3^-2 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-3, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y2 * Y3^2, (Y3 * Y2^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 15, 47, 7, 39)(2, 34, 10, 42, 28, 60, 12, 44)(3, 35, 13, 45, 31, 63, 14, 46)(5, 37, 18, 50, 23, 55, 17, 49)(6, 38, 21, 53, 22, 54, 16, 48)(8, 40, 24, 56, 20, 52, 25, 57)(9, 41, 26, 58, 19, 51, 27, 59)(11, 43, 30, 62, 32, 64, 29, 61)(65, 66, 72, 86, 96, 95, 83, 69)(67, 73, 87, 79, 92, 84, 70, 75)(68, 78, 88, 82, 93, 74, 91, 80)(71, 77, 89, 81, 94, 76, 90, 85)(97, 99, 104, 119, 128, 124, 115, 102)(98, 105, 118, 111, 127, 116, 101, 107)(100, 108, 120, 117, 125, 109, 123, 113)(103, 106, 121, 112, 126, 110, 122, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.291
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.280 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2, Y1^-1), Y1^-1 * Y2^-3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^4, Y1^-1 * Y3 * Y2 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2, Y1^8, Y1^-1 * Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 15, 47, 7, 39)(2, 34, 10, 42, 24, 56, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 17, 49, 28, 60, 18, 50)(6, 38, 16, 48, 29, 61, 19, 51)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 25, 57, 32, 64, 26, 58)(65, 66, 72, 70, 75, 67, 73, 69)(68, 77, 84, 81, 89, 74, 86, 80)(71, 78, 85, 82, 90, 76, 87, 83)(79, 88, 94, 93, 96, 91, 95, 92)(97, 99, 104, 101, 107, 98, 105, 102)(100, 106, 116, 112, 121, 109, 118, 113)(103, 108, 117, 115, 122, 110, 119, 114)(111, 123, 126, 124, 128, 120, 127, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.292
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.281 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C4 x D8) : C2 (small group id <64, 123>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^-2 * Y2 * Y1^-1, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y1 * Y3^3 * Y1^-1, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 23, 55, 87, 119, 32, 64, 96, 128, 20, 52, 84, 116, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 14, 46, 78, 110, 27, 59, 91, 123, 11, 43, 75, 107, 24, 56, 88, 120, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 12, 44, 76, 108, 26, 58, 90, 122, 10, 42, 74, 106)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 22, 54, 86, 118, 31, 63, 95, 127, 19, 51, 83, 115, 30, 62, 94, 126, 18, 50, 82, 114)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 53)(14, 50)(15, 37)(16, 56)(17, 44)(18, 47)(19, 41)(20, 39)(21, 61)(22, 42)(23, 40)(24, 62)(25, 45)(26, 48)(27, 63)(28, 64)(29, 57)(30, 58)(31, 60)(32, 59)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 121)(78, 101)(79, 114)(80, 122)(81, 107)(82, 110)(83, 103)(84, 105)(85, 109)(86, 104)(87, 106)(88, 112)(89, 125)(90, 126)(91, 128)(92, 127)(93, 117)(94, 120)(95, 123)(96, 124)
	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 E21.269
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.282 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C4 x D8) : C2 (small group id <64, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y1^4, Y1^-2 * Y2^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3, R * Y1 * R * Y2, Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 24, 56, 88, 120, 31, 63, 95, 127, 27, 59, 91, 123, 13, 45, 77, 109, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 17, 49, 81, 113, 30, 62, 94, 126, 19, 51, 83, 115, 23, 55, 87, 119, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 29, 61, 93, 125, 18, 50, 82, 114, 25, 57, 89, 121, 20, 52, 84, 116, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 28, 60, 92, 124, 15, 47, 79, 111, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 51)(8, 37)(9, 55)(10, 58)(11, 57)(12, 60)(13, 38)(14, 36)(15, 35)(16, 56)(17, 53)(18, 39)(19, 54)(20, 59)(21, 46)(22, 50)(23, 43)(24, 42)(25, 41)(26, 48)(27, 44)(28, 52)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 114)(69, 107)(70, 97)(71, 116)(72, 102)(73, 101)(74, 123)(75, 98)(76, 103)(77, 125)(78, 122)(79, 126)(80, 124)(81, 120)(82, 117)(83, 100)(84, 118)(85, 115)(86, 108)(87, 127)(88, 110)(89, 128)(90, 113)(91, 112)(92, 106)(93, 111)(94, 109)(95, 121)(96, 119)
	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 E21.270
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.283 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C4 x D8) : C2 (small group id <64, 123>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^-2, Y1^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2, (R * Y3)^2, Y2^-2 * Y1^-2, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^3 * Y2^-1, Y3^-1 * Y2^-2 * Y3 * Y1^-2, Y2^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 27, 59, 91, 123, 31, 63, 95, 127, 25, 57, 89, 121, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 23, 55, 87, 119, 17, 49, 81, 113, 30, 62, 94, 126, 20, 52, 84, 116, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 18, 50, 82, 114, 24, 56, 88, 120, 19, 51, 83, 115, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 15, 47, 79, 111, 26, 58, 90, 122, 32, 64, 96, 128, 28, 60, 92, 124, 11, 43, 75, 107, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 52)(8, 37)(9, 55)(10, 58)(11, 56)(12, 60)(13, 38)(14, 57)(15, 35)(16, 39)(17, 53)(18, 59)(19, 36)(20, 54)(21, 51)(22, 48)(23, 43)(24, 41)(25, 44)(26, 50)(27, 42)(28, 46)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 114)(69, 107)(70, 97)(71, 115)(72, 102)(73, 101)(74, 100)(75, 98)(76, 123)(77, 125)(78, 122)(79, 126)(80, 124)(81, 103)(82, 117)(83, 118)(84, 121)(85, 106)(86, 113)(87, 127)(88, 128)(89, 112)(90, 108)(91, 110)(92, 116)(93, 111)(94, 109)(95, 120)(96, 119)
	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 E21.271
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.284 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^-2 * Y2 * Y1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, (Y2, Y1^-1), Y2^4, Y1^4, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 27, 59, 91, 123, 32, 64, 96, 128, 29, 61, 93, 125, 21, 53, 85, 117, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 22, 54, 86, 118, 20, 52, 84, 116, 31, 63, 95, 127, 17, 49, 81, 113, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 26, 58, 90, 122, 19, 51, 83, 115, 24, 56, 88, 120, 18, 50, 82, 114, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 30, 62, 94, 126, 13, 45, 77, 109, 28, 60, 92, 124, 11, 43, 75, 107, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 37)(9, 54)(10, 60)(11, 56)(12, 62)(13, 58)(14, 39)(15, 35)(16, 61)(17, 55)(18, 59)(19, 36)(20, 57)(21, 38)(22, 47)(23, 51)(24, 53)(25, 46)(26, 64)(27, 44)(28, 48)(29, 42)(30, 50)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 115)(72, 118)(73, 122)(74, 103)(75, 98)(76, 125)(77, 102)(78, 119)(79, 127)(80, 121)(81, 123)(82, 124)(83, 126)(84, 100)(85, 101)(86, 128)(87, 108)(88, 104)(89, 113)(90, 107)(91, 112)(92, 116)(93, 110)(94, 106)(95, 117)(96, 120)
	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 E21.272
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.285 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y1^3 * Y2, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y2^4, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^3 * Y1 * Y3, Y3 * Y1 * Y3^3 * Y1^-1, (Y1, Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 23, 55, 87, 119, 32, 64, 96, 128, 21, 53, 85, 117, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 14, 46, 78, 110, 25, 57, 89, 121, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 26, 58, 90, 122, 15, 47, 79, 111, 28, 60, 92, 124, 11, 43, 75, 107, 27, 59, 91, 123, 13, 45, 77, 109)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 22, 54, 86, 118, 31, 63, 95, 127, 19, 51, 83, 115, 30, 62, 94, 126, 18, 50, 82, 114)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 52)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 56)(17, 43)(18, 47)(19, 44)(20, 61)(21, 39)(22, 45)(23, 40)(24, 62)(25, 63)(26, 42)(27, 48)(28, 64)(29, 58)(30, 59)(31, 60)(32, 57)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 115)(72, 118)(73, 113)(74, 116)(75, 99)(76, 117)(77, 119)(78, 114)(79, 101)(80, 120)(81, 107)(82, 111)(83, 108)(84, 125)(85, 103)(86, 109)(87, 104)(88, 126)(89, 127)(90, 106)(91, 112)(92, 128)(93, 122)(94, 123)(95, 124)(96, 121)
	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 E21.273
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.286 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-1, Y2^-2 * Y1^2, Y2^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^2, Y2^-2 * Y3^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y1^-1 * Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 22, 54, 86, 118, 8, 40, 72, 104, 21, 53, 85, 117, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 26, 58, 90, 122, 15, 47, 79, 111, 5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 29, 61, 93, 125, 16, 48, 80, 112, 6, 38, 70, 102, 19, 51, 83, 115, 30, 62, 94, 126, 14, 46, 78, 110)(9, 41, 73, 105, 23, 55, 87, 119, 31, 63, 95, 127, 25, 57, 89, 121, 11, 43, 75, 107, 27, 59, 91, 123, 32, 64, 96, 128, 24, 56, 88, 120)
	L = (1, 34)(2, 40)(3, 43)(4, 47)(5, 33)(6, 41)(7, 50)(8, 37)(9, 35)(10, 39)(11, 38)(12, 36)(13, 56)(14, 55)(15, 53)(16, 59)(17, 60)(18, 54)(19, 57)(20, 58)(21, 44)(22, 42)(23, 48)(24, 51)(25, 45)(26, 49)(27, 46)(28, 52)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 115)(72, 102)(73, 101)(74, 121)(75, 98)(76, 123)(77, 103)(78, 100)(79, 119)(80, 117)(81, 126)(82, 120)(83, 118)(84, 125)(85, 110)(86, 109)(87, 108)(88, 106)(89, 114)(90, 128)(91, 111)(92, 127)(93, 113)(94, 116)(95, 122)(96, 124)
	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 E21.274
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.287 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^3 * Y3 * Y1^-1 * Y3^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-2 * Y3^-1 * Y1^-1, Y1^2 * Y3^-1 * Y1^-2 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^8, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 26, 58, 90, 122, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 19, 51, 83, 115)(9, 41, 73, 105, 20, 52, 84, 116, 31, 63, 95, 127, 23, 55, 87, 119)(12, 44, 76, 108, 27, 59, 91, 123, 15, 47, 79, 111, 25, 57, 89, 121)(13, 45, 77, 109, 28, 60, 92, 124, 16, 48, 80, 112, 17, 49, 81, 113)(21, 53, 85, 117, 32, 64, 96, 128, 24, 56, 88, 120, 29, 61, 93, 125)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 53)(11, 56)(12, 50)(13, 36)(14, 54)(15, 51)(16, 37)(17, 61)(18, 42)(19, 43)(20, 45)(21, 39)(22, 62)(23, 48)(24, 40)(25, 41)(26, 46)(27, 63)(28, 64)(29, 57)(30, 60)(31, 58)(32, 59)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 121)(74, 114)(75, 115)(76, 100)(77, 116)(78, 122)(79, 101)(80, 119)(81, 102)(82, 108)(83, 111)(84, 103)(85, 106)(86, 110)(87, 104)(88, 107)(89, 125)(90, 127)(91, 128)(92, 126)(93, 113)(94, 118)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.275
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.288 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y3, Y2^2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^8, Y3^2 * Y2^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 26, 58, 90, 122, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 19, 51, 83, 115)(9, 41, 73, 105, 23, 55, 87, 119, 31, 63, 95, 127, 20, 52, 84, 116)(12, 44, 76, 108, 25, 57, 89, 121, 15, 47, 79, 111, 27, 59, 91, 123)(13, 45, 77, 109, 17, 49, 81, 113, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 53)(11, 56)(12, 50)(13, 36)(14, 54)(15, 51)(16, 37)(17, 61)(18, 43)(19, 42)(20, 48)(21, 39)(22, 62)(23, 45)(24, 40)(25, 41)(26, 46)(27, 63)(28, 64)(29, 57)(30, 60)(31, 58)(32, 59)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 121)(74, 115)(75, 114)(76, 100)(77, 119)(78, 122)(79, 101)(80, 116)(81, 102)(82, 108)(83, 111)(84, 103)(85, 106)(86, 110)(87, 104)(88, 107)(89, 125)(90, 127)(91, 128)(92, 126)(93, 113)(94, 118)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.276
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.289 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y1, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (Y2 * Y1)^2, Y1^-2 * Y2^-2, Y3^-1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y3^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y3, Y3 * Y2^-1 * Y3 * Y2^5 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 22, 54, 86, 118, 11, 43, 75, 107, 24, 56, 88, 120)(13, 45, 77, 109, 28, 60, 92, 124, 15, 47, 79, 111, 25, 57, 89, 121)(17, 49, 81, 113, 30, 62, 94, 126, 20, 52, 84, 116, 29, 61, 93, 125)(18, 50, 82, 114, 23, 55, 87, 119, 19, 51, 83, 115, 21, 53, 85, 117)(26, 58, 90, 122, 32, 64, 96, 128, 27, 59, 91, 123, 31, 63, 95, 127)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 53)(9, 38)(10, 57)(11, 55)(12, 60)(13, 37)(14, 58)(15, 35)(16, 59)(17, 54)(18, 39)(19, 36)(20, 56)(21, 63)(22, 46)(23, 64)(24, 48)(25, 50)(26, 44)(27, 42)(28, 51)(29, 47)(30, 45)(31, 62)(32, 61)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 115)(72, 102)(73, 101)(74, 122)(75, 98)(76, 123)(77, 125)(78, 120)(79, 126)(80, 118)(81, 103)(82, 124)(83, 121)(84, 100)(85, 107)(86, 116)(87, 104)(88, 113)(89, 108)(90, 112)(91, 110)(92, 106)(93, 127)(94, 128)(95, 119)(96, 117)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.277
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.290 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 116>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y1^-1, Y3^-2 * Y2 * Y1, Y2^2 * Y1^2, Y1 * Y2 * Y3^2, (Y1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2^-2 * Y3 * Y2^2, Y1^-2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y2 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y3 * Y2^-3, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 22, 54, 86, 118, 11, 43, 75, 107, 24, 56, 88, 120)(13, 45, 77, 109, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124)(17, 49, 81, 113, 29, 61, 93, 125, 20, 52, 84, 116, 30, 62, 94, 126)(18, 50, 82, 114, 21, 53, 85, 117, 19, 51, 83, 115, 23, 55, 87, 119)(26, 58, 90, 122, 31, 63, 95, 127, 27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 53)(9, 38)(10, 57)(11, 55)(12, 60)(13, 37)(14, 58)(15, 35)(16, 59)(17, 54)(18, 39)(19, 36)(20, 56)(21, 63)(22, 48)(23, 64)(24, 46)(25, 51)(26, 44)(27, 42)(28, 50)(29, 47)(30, 45)(31, 62)(32, 61)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 115)(72, 102)(73, 101)(74, 122)(75, 98)(76, 123)(77, 125)(78, 118)(79, 126)(80, 120)(81, 103)(82, 121)(83, 124)(84, 100)(85, 107)(86, 116)(87, 104)(88, 113)(89, 108)(90, 112)(91, 110)(92, 106)(93, 127)(94, 128)(95, 119)(96, 117)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.278
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.291 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, Y2 * Y1^-2 * Y2, Y1^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y1^-1, Y3^4, Y3^-2 * Y2 * Y1^3, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-3 * Y3^-2 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-3, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y2 * Y3^2, (Y3 * Y2^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 31, 63, 95, 127, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 23, 55, 87, 119, 17, 49, 81, 113)(6, 38, 70, 102, 21, 53, 85, 117, 22, 54, 86, 118, 16, 48, 80, 112)(8, 40, 72, 104, 24, 56, 88, 120, 20, 52, 84, 116, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 19, 51, 83, 115, 27, 59, 91, 123)(11, 43, 75, 107, 30, 62, 94, 126, 32, 64, 96, 128, 29, 61, 93, 125)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 45)(8, 54)(9, 55)(10, 59)(11, 35)(12, 58)(13, 57)(14, 56)(15, 60)(16, 36)(17, 62)(18, 61)(19, 37)(20, 38)(21, 39)(22, 64)(23, 47)(24, 50)(25, 49)(26, 53)(27, 48)(28, 52)(29, 42)(30, 44)(31, 51)(32, 63)(65, 99)(66, 105)(67, 104)(68, 108)(69, 107)(70, 97)(71, 106)(72, 119)(73, 118)(74, 121)(75, 98)(76, 120)(77, 123)(78, 122)(79, 127)(80, 126)(81, 100)(82, 103)(83, 102)(84, 101)(85, 125)(86, 111)(87, 128)(88, 117)(89, 112)(90, 114)(91, 113)(92, 115)(93, 109)(94, 110)(95, 116)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.279
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.292 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2, Y1^-1), Y1^-1 * Y2^-3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^4, Y1^-1 * Y3 * Y2 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2, Y1^8, Y1^-1 * Y3^-2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 24, 56, 88, 120, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 17, 49, 81, 113, 28, 60, 92, 124, 18, 50, 82, 114)(6, 38, 70, 102, 16, 48, 80, 112, 29, 61, 93, 125, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 25, 57, 89, 121, 32, 64, 96, 128, 26, 58, 90, 122)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 38)(9, 37)(10, 54)(11, 35)(12, 55)(13, 52)(14, 53)(15, 56)(16, 36)(17, 57)(18, 58)(19, 39)(20, 49)(21, 50)(22, 48)(23, 51)(24, 62)(25, 42)(26, 44)(27, 63)(28, 47)(29, 64)(30, 61)(31, 60)(32, 59)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 108)(72, 101)(73, 102)(74, 116)(75, 98)(76, 117)(77, 118)(78, 119)(79, 123)(80, 121)(81, 100)(82, 103)(83, 122)(84, 112)(85, 115)(86, 113)(87, 114)(88, 127)(89, 109)(90, 110)(91, 126)(92, 128)(93, 111)(94, 124)(95, 125)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.280
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1, Y2^4, (R * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), Y1^4, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 15, 47)(4, 36, 16, 48, 25, 57, 17, 49)(6, 38, 11, 43, 26, 58, 19, 51)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 29, 61, 18, 50, 21, 53)(12, 44, 30, 62, 20, 52, 14, 46)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 78, 110, 85, 117, 71, 103)(69, 101, 79, 111, 95, 127, 83, 115)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 86, 118, 80, 112, 76, 108)(81, 113, 84, 116, 82, 114, 87, 119)(89, 121, 94, 126, 93, 125, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 82)(6, 71)(7, 65)(8, 89)(9, 86)(10, 73)(11, 76)(12, 66)(13, 85)(14, 77)(15, 87)(16, 75)(17, 83)(18, 79)(19, 84)(20, 69)(21, 70)(22, 92)(23, 95)(24, 94)(25, 88)(26, 91)(27, 72)(28, 80)(29, 90)(30, 96)(31, 81)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.312
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (R * Y1)^2, Y1^4, Y2^4, (R * Y2^-1)^2, (Y1, Y2^-1), (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 14, 46)(4, 36, 16, 48, 25, 57, 17, 49)(6, 38, 11, 43, 26, 58, 20, 52)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 29, 61, 19, 51, 15, 47)(12, 44, 30, 62, 21, 53, 18, 50)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 71, 103, 79, 111, 82, 114)(69, 101, 78, 110, 95, 127, 84, 116)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 76, 108, 80, 112, 86, 118)(81, 113, 87, 119, 83, 115, 85, 117)(89, 121, 91, 123, 93, 125, 94, 126)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 83)(6, 82)(7, 65)(8, 89)(9, 76)(10, 75)(11, 86)(12, 66)(13, 79)(14, 85)(15, 67)(16, 73)(17, 78)(18, 77)(19, 84)(20, 87)(21, 69)(22, 92)(23, 95)(24, 91)(25, 90)(26, 94)(27, 72)(28, 80)(29, 88)(30, 96)(31, 81)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.311
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|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, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y1^-1 * Y2^3 * Y1 * Y2, Y2 * Y1 * Y2^3 * Y1^-1, (Y1, Y2)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 29, 61, 26, 58)(16, 48, 24, 56, 30, 62, 27, 59)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 87, 119, 96, 128, 85, 117, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 78, 110, 89, 121, 73, 105, 88, 120, 72, 104)(68, 100, 76, 108, 90, 122, 79, 111, 92, 124, 75, 107, 91, 123, 77, 109)(70, 102, 81, 113, 93, 125, 86, 118, 95, 127, 83, 115, 94, 126, 82, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y1^4, Y2^4 * Y3, Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 25, 57, 17, 49, 13, 45)(10, 42, 27, 59, 18, 50, 16, 48)(12, 44, 26, 58, 31, 63, 29, 61)(21, 53, 28, 60, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 80, 112, 68, 100, 77, 109, 85, 117, 70, 102)(66, 98, 72, 104, 90, 122, 83, 115, 73, 105, 75, 107, 92, 124, 74, 106)(69, 101, 81, 113, 93, 125, 84, 116, 79, 111, 78, 110, 94, 126, 82, 114)(71, 103, 86, 118, 95, 127, 91, 123, 87, 119, 89, 121, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 75)(9, 66)(10, 83)(11, 72)(12, 85)(13, 67)(14, 81)(15, 69)(16, 70)(17, 78)(18, 84)(19, 74)(20, 82)(21, 76)(22, 89)(23, 71)(24, 91)(25, 86)(26, 92)(27, 88)(28, 90)(29, 94)(30, 93)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2^3 * Y1^-1, Y1 * Y2^2 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 20, 52, 26, 58, 27, 59)(18, 50, 24, 56, 30, 62, 28, 60)(25, 57, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 74, 106, 87, 119, 96, 128, 85, 117, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 80, 112, 89, 121, 73, 105, 88, 120, 72, 104)(68, 100, 75, 107, 90, 122, 86, 118, 95, 127, 83, 115, 94, 126, 77, 109)(69, 101, 78, 110, 91, 123, 81, 113, 93, 125, 76, 108, 92, 124, 79, 111)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 90)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 94)(19, 85)(20, 91)(21, 83)(22, 87)(23, 86)(24, 92)(25, 93)(26, 74)(27, 84)(28, 88)(29, 89)(30, 82)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1 * Y3 * Y2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2^3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 13, 45, 17, 49, 26, 58)(10, 42, 16, 48, 18, 50, 27, 59)(12, 44, 25, 57, 32, 64, 30, 62)(21, 53, 28, 60, 29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 91, 123, 87, 119, 90, 122, 85, 117, 70, 102)(66, 98, 72, 104, 89, 121, 83, 115, 79, 111, 75, 107, 92, 124, 74, 106)(68, 100, 77, 109, 93, 125, 88, 120, 71, 103, 86, 118, 96, 128, 80, 112)(69, 101, 81, 113, 94, 126, 84, 116, 73, 105, 78, 110, 95, 127, 82, 114)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 78)(9, 66)(10, 84)(11, 81)(12, 93)(13, 67)(14, 72)(15, 69)(16, 70)(17, 75)(18, 83)(19, 82)(20, 74)(21, 96)(22, 90)(23, 71)(24, 91)(25, 95)(26, 86)(27, 88)(28, 94)(29, 76)(30, 92)(31, 89)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1, Y1), Y1^4, (R * Y2)^2, Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 15, 47)(4, 36, 10, 42, 25, 57, 17, 49)(6, 38, 21, 53, 26, 58, 22, 54)(7, 39, 12, 44, 27, 59, 20, 52)(9, 41, 28, 60, 18, 50, 23, 55)(11, 43, 30, 62, 19, 51, 14, 46)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 68, 100, 78, 110, 80, 112, 87, 119, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 85, 117, 93, 125, 77, 109, 76, 108, 75, 107)(69, 101, 82, 114, 81, 113, 86, 118, 95, 127, 79, 111, 84, 116, 83, 115)(72, 104, 88, 120, 89, 121, 94, 126, 96, 128, 92, 124, 91, 123, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 67)(7, 65)(8, 89)(9, 85)(10, 93)(11, 73)(12, 66)(13, 75)(14, 87)(15, 83)(16, 71)(17, 95)(18, 86)(19, 82)(20, 69)(21, 77)(22, 79)(23, 70)(24, 94)(25, 96)(26, 88)(27, 72)(28, 90)(29, 76)(30, 92)(31, 84)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3^4, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 14, 46)(4, 36, 10, 42, 25, 57, 17, 49)(6, 38, 22, 54, 26, 58, 23, 55)(7, 39, 12, 44, 27, 59, 21, 53)(9, 41, 28, 60, 19, 51, 18, 50)(11, 43, 30, 62, 20, 52, 15, 47)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 71, 103, 79, 111, 80, 112, 82, 114, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 86, 118, 93, 125, 77, 109, 74, 106, 75, 107)(69, 101, 83, 115, 85, 117, 87, 119, 95, 127, 78, 110, 81, 113, 84, 116)(72, 104, 88, 120, 91, 123, 94, 126, 96, 128, 92, 124, 89, 121, 90, 122)
	L = (1, 68)(2, 74)(3, 70)(4, 80)(5, 81)(6, 82)(7, 65)(8, 89)(9, 75)(10, 93)(11, 77)(12, 66)(13, 86)(14, 87)(15, 67)(16, 71)(17, 95)(18, 79)(19, 84)(20, 78)(21, 69)(22, 73)(23, 83)(24, 90)(25, 96)(26, 92)(27, 72)(28, 94)(29, 76)(30, 88)(31, 85)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y3^4, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^2 * Y1^-2 * Y3, Y3 * Y2 * Y1^2 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 27, 59, 16, 48)(4, 36, 10, 42, 26, 58, 19, 51)(6, 38, 24, 56, 15, 47, 25, 57)(7, 39, 12, 44, 14, 46, 23, 55)(9, 41, 20, 52, 21, 53, 28, 60)(11, 43, 17, 49, 22, 54, 30, 62)(18, 50, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 92, 124, 90, 122, 70, 102)(66, 98, 73, 105, 87, 119, 88, 120, 93, 125, 77, 109, 83, 115, 75, 107)(68, 100, 79, 111, 72, 104, 91, 123, 71, 103, 81, 113, 95, 127, 84, 116)(69, 101, 85, 117, 76, 108, 89, 121, 96, 128, 80, 112, 74, 106, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 90)(9, 86)(10, 93)(11, 80)(12, 66)(13, 89)(14, 72)(15, 92)(16, 88)(17, 67)(18, 71)(19, 96)(20, 94)(21, 75)(22, 77)(23, 69)(24, 85)(25, 73)(26, 95)(27, 70)(28, 81)(29, 76)(30, 91)(31, 78)(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, 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 E21.302
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (Y3^-1, Y1^-1), Y1^4, Y3^4, Y2 * Y3 * Y1 * Y2 * Y1, Y3 * Y1^2 * Y2^-2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y1^2 * Y2^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 16, 48)(4, 36, 10, 42, 14, 46, 19, 51)(6, 38, 24, 56, 17, 49, 25, 57)(7, 39, 12, 44, 26, 58, 23, 55)(9, 41, 27, 59, 21, 53, 28, 60)(11, 43, 15, 47, 22, 54, 30, 62)(18, 50, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 92, 124, 90, 122, 70, 102)(66, 98, 73, 105, 83, 115, 88, 120, 93, 125, 77, 109, 87, 119, 75, 107)(68, 100, 79, 111, 95, 127, 91, 123, 71, 103, 81, 113, 72, 104, 84, 116)(69, 101, 85, 117, 74, 106, 89, 121, 96, 128, 80, 112, 76, 108, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 78)(9, 89)(10, 93)(11, 85)(12, 66)(13, 86)(14, 95)(15, 92)(16, 75)(17, 67)(18, 71)(19, 96)(20, 94)(21, 88)(22, 73)(23, 69)(24, 80)(25, 77)(26, 72)(27, 70)(28, 81)(29, 76)(30, 91)(31, 90)(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, 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 E21.301
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1, Y3), Y3^4, Y1 * Y2 * R * Y2^-1 * R, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y3^2 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 18, 50, 6, 38)(4, 36, 10, 42, 24, 56, 16, 48)(7, 39, 11, 43, 25, 57, 19, 51)(12, 44, 17, 49, 14, 46, 20, 52)(13, 45, 23, 55, 22, 54, 21, 53)(15, 47, 26, 58, 32, 64, 29, 61)(27, 59, 31, 63, 28, 60, 30, 62)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 82, 114, 69, 101, 70, 102)(68, 100, 78, 110, 74, 106, 84, 116, 88, 120, 76, 108, 80, 112, 81, 113)(71, 103, 86, 118, 75, 107, 85, 117, 89, 121, 77, 109, 83, 115, 87, 119)(79, 111, 91, 123, 90, 122, 95, 127, 96, 128, 92, 124, 93, 125, 94, 126)
	L = (1, 68)(2, 74)(3, 76)(4, 79)(5, 80)(6, 84)(7, 65)(8, 88)(9, 81)(10, 90)(11, 66)(12, 91)(13, 67)(14, 92)(15, 71)(16, 93)(17, 95)(18, 78)(19, 69)(20, 94)(21, 70)(22, 82)(23, 73)(24, 96)(25, 72)(26, 75)(27, 77)(28, 86)(29, 83)(30, 85)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.309
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, (R * Y1)^2, Y1^4, Y3^4, (Y1, Y3), (R * Y3)^2, Y1^-1 * Y2 * R * Y2^-1 * R, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1, Y2^-1 * Y3^2 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 24, 56, 17, 49)(7, 39, 11, 43, 25, 57, 19, 51)(12, 44, 20, 52, 15, 47, 18, 50)(14, 46, 21, 53, 22, 54, 23, 55)(16, 48, 26, 58, 32, 64, 29, 61)(27, 59, 30, 62, 28, 60, 31, 63)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 79, 111, 81, 113, 84, 116, 88, 120, 76, 108, 73, 105, 82, 114)(71, 103, 86, 118, 83, 115, 85, 117, 89, 121, 78, 110, 75, 107, 87, 119)(80, 112, 91, 123, 93, 125, 95, 127, 96, 128, 92, 124, 90, 122, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 81)(6, 84)(7, 65)(8, 88)(9, 90)(10, 79)(11, 66)(12, 91)(13, 82)(14, 67)(15, 92)(16, 71)(17, 93)(18, 95)(19, 69)(20, 94)(21, 70)(22, 74)(23, 77)(24, 96)(25, 72)(26, 75)(27, 78)(28, 86)(29, 83)(30, 85)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.307
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y1^4, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), Y3 * Y1 * Y2^2 * Y3, Y2 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2 * Y1 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, Y2^-2 * R * Y2 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 28, 60, 15, 47)(4, 36, 10, 42, 29, 61, 19, 51)(6, 38, 11, 43, 30, 62, 21, 53)(7, 39, 12, 44, 31, 63, 22, 54)(13, 45, 18, 50, 24, 56, 32, 64)(14, 46, 25, 57, 17, 49, 27, 59)(16, 48, 23, 55, 26, 58, 20, 52)(65, 97, 67, 99, 77, 109, 94, 126, 72, 104, 92, 124, 88, 120, 70, 102)(66, 98, 73, 105, 82, 114, 85, 117, 69, 101, 79, 111, 96, 128, 75, 107)(68, 100, 81, 113, 86, 118, 87, 119, 93, 125, 78, 110, 76, 108, 84, 116)(71, 103, 90, 122, 83, 115, 89, 121, 95, 127, 80, 112, 74, 106, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 87)(7, 65)(8, 93)(9, 89)(10, 88)(11, 90)(12, 66)(13, 86)(14, 85)(15, 91)(16, 67)(17, 75)(18, 71)(19, 77)(20, 79)(21, 80)(22, 69)(23, 73)(24, 76)(25, 70)(26, 92)(27, 94)(28, 81)(29, 96)(30, 84)(31, 72)(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) :: { ( 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 E21.310
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1^-4, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, Y3^4, Y1^4, (Y1, Y2^-1), Y1^-1 * Y2 * Y3^-2 * Y2, Y2 * Y1 * Y3 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1 * Y3 * Y2^-2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y1^2 * Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 28, 60, 15, 47)(4, 36, 10, 42, 29, 61, 19, 51)(6, 38, 11, 43, 30, 62, 21, 53)(7, 39, 12, 44, 31, 63, 22, 54)(13, 45, 32, 64, 24, 56, 18, 50)(14, 46, 27, 59, 17, 49, 25, 57)(16, 48, 20, 52, 26, 58, 23, 55)(65, 97, 67, 99, 77, 109, 94, 126, 72, 104, 92, 124, 88, 120, 70, 102)(66, 98, 73, 105, 96, 128, 85, 117, 69, 101, 79, 111, 82, 114, 75, 107)(68, 100, 81, 113, 76, 108, 87, 119, 93, 125, 78, 110, 86, 118, 84, 116)(71, 103, 90, 122, 74, 106, 89, 121, 95, 127, 80, 112, 83, 115, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 87)(7, 65)(8, 93)(9, 91)(10, 77)(11, 80)(12, 66)(13, 76)(14, 75)(15, 89)(16, 67)(17, 85)(18, 71)(19, 88)(20, 73)(21, 90)(22, 69)(23, 79)(24, 86)(25, 70)(26, 92)(27, 94)(28, 81)(29, 96)(30, 84)(31, 72)(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) :: { ( 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 E21.308
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), Y2^-2 * Y3^-1 * Y1, Y3^4, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2, Y3 * Y2^-1 * Y3 * Y2 * Y1^-2, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 15, 47)(4, 36, 10, 42, 23, 55, 18, 50)(6, 38, 14, 46, 24, 56, 21, 53)(7, 39, 12, 44, 25, 57, 20, 52)(9, 41, 26, 58, 19, 51, 28, 60)(11, 43, 27, 59, 16, 48, 30, 62)(17, 49, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 76, 108, 94, 126, 96, 128, 92, 124, 82, 114, 70, 102)(66, 98, 73, 105, 89, 121, 78, 110, 95, 127, 77, 109, 68, 100, 75, 107)(69, 101, 83, 115, 71, 103, 85, 117, 93, 125, 79, 111, 87, 119, 80, 112)(72, 104, 86, 118, 84, 116, 91, 123, 81, 113, 90, 122, 74, 106, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 73)(7, 65)(8, 87)(9, 91)(10, 93)(11, 86)(12, 66)(13, 88)(14, 90)(15, 70)(16, 67)(17, 71)(18, 95)(19, 94)(20, 69)(21, 92)(22, 85)(23, 96)(24, 83)(25, 72)(26, 80)(27, 79)(28, 75)(29, 76)(30, 77)(31, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.304
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, (Y3^-1, Y1), Y3^4, Y1^-1 * Y2 * Y3^-1 * Y2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y3 * Y2 * Y1^-2 * Y2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^2 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 16, 48)(4, 36, 10, 42, 23, 55, 19, 51)(6, 38, 21, 53, 24, 56, 15, 47)(7, 39, 12, 44, 25, 57, 14, 46)(9, 41, 26, 58, 20, 52, 28, 60)(11, 43, 30, 62, 17, 49, 27, 59)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 91, 123, 96, 128, 92, 124, 74, 106, 70, 102)(66, 98, 73, 105, 71, 103, 85, 117, 95, 127, 77, 109, 87, 119, 75, 107)(68, 100, 81, 113, 69, 101, 84, 116, 89, 121, 79, 111, 93, 125, 80, 112)(72, 104, 86, 118, 76, 108, 94, 126, 82, 114, 90, 122, 83, 115, 88, 120)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 87)(9, 91)(10, 93)(11, 67)(12, 66)(13, 70)(14, 69)(15, 90)(16, 88)(17, 86)(18, 71)(19, 95)(20, 94)(21, 92)(22, 85)(23, 96)(24, 73)(25, 72)(26, 75)(27, 80)(28, 81)(29, 76)(30, 77)(31, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.306
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3 * Y1^-1, (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y1^4, Y3^4, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-2, Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 15, 47)(4, 36, 10, 42, 23, 55, 14, 46)(6, 38, 17, 49, 24, 56, 16, 48)(7, 39, 12, 44, 25, 57, 21, 53)(9, 41, 26, 58, 19, 51, 27, 59)(11, 43, 29, 61, 20, 52, 28, 60)(18, 50, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 92, 124, 96, 128, 91, 123, 76, 108, 70, 102)(66, 98, 73, 105, 68, 100, 81, 113, 95, 127, 77, 109, 89, 121, 75, 107)(69, 101, 83, 115, 87, 119, 80, 112, 94, 126, 79, 111, 71, 103, 84, 116)(72, 104, 86, 118, 74, 106, 93, 125, 82, 114, 90, 122, 85, 117, 88, 120)
	L = (1, 68)(2, 74)(3, 75)(4, 82)(5, 78)(6, 77)(7, 65)(8, 87)(9, 88)(10, 94)(11, 90)(12, 66)(13, 93)(14, 95)(15, 92)(16, 67)(17, 86)(18, 71)(19, 70)(20, 91)(21, 69)(22, 84)(23, 96)(24, 79)(25, 72)(26, 80)(27, 81)(28, 73)(29, 83)(30, 76)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.303
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2 * Y3, (Y3^-1, Y1), Y2 * Y3^-1 * Y1^-1 * Y2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y3 * Y1^-2, (Y1, Y2^-1)^2, 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, 5, 37)(3, 35, 13, 45, 22, 54, 15, 47)(4, 36, 10, 42, 23, 55, 19, 51)(6, 38, 16, 48, 24, 56, 17, 49)(7, 39, 12, 44, 25, 57, 21, 53)(9, 41, 26, 58, 20, 52, 27, 59)(11, 43, 28, 60, 14, 46, 29, 61)(18, 50, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 93, 125, 96, 128, 91, 123, 85, 117, 70, 102)(66, 98, 73, 105, 87, 119, 80, 112, 95, 127, 77, 109, 71, 103, 75, 107)(68, 100, 81, 113, 94, 126, 79, 111, 89, 121, 78, 110, 69, 101, 84, 116)(72, 104, 86, 118, 83, 115, 92, 124, 82, 114, 90, 122, 76, 108, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 79)(7, 65)(8, 87)(9, 70)(10, 94)(11, 91)(12, 66)(13, 93)(14, 90)(15, 92)(16, 67)(17, 86)(18, 71)(19, 95)(20, 88)(21, 69)(22, 75)(23, 96)(24, 77)(25, 72)(26, 80)(27, 81)(28, 73)(29, 84)(30, 76)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.305
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3, (Y2, Y3), (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1, (Y2 * Y1^2 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 14, 46, 27, 59, 20, 52, 5, 37)(3, 35, 12, 44, 22, 54, 18, 50, 7, 39, 9, 41, 25, 57, 15, 47)(4, 36, 11, 43, 23, 55, 19, 51, 6, 38, 10, 42, 24, 56, 17, 49)(13, 45, 26, 58, 31, 63, 30, 62, 16, 48, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 68, 100, 78, 110, 71, 103, 80, 112, 70, 102)(66, 98, 73, 105, 90, 122, 74, 106, 91, 123, 76, 108, 92, 124, 75, 107)(69, 101, 82, 114, 93, 125, 83, 115, 85, 117, 79, 111, 94, 126, 81, 113)(72, 104, 86, 118, 95, 127, 87, 119, 84, 116, 89, 121, 96, 128, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 83)(6, 77)(7, 65)(8, 87)(9, 91)(10, 92)(11, 90)(12, 66)(13, 71)(14, 70)(15, 69)(16, 67)(17, 93)(18, 85)(19, 94)(20, 88)(21, 81)(22, 84)(23, 96)(24, 95)(25, 72)(26, 76)(27, 75)(28, 73)(29, 79)(30, 82)(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) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.294
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-1, Y2^-2 * Y1^-1 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y2^-2, Y2 * Y1^-3 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3^-2 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^8, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 27, 59, 17, 49, 5, 37)(3, 35, 9, 41, 19, 51, 15, 47, 23, 55, 7, 39, 21, 53, 11, 43)(4, 36, 12, 44, 20, 52, 16, 48, 26, 58, 8, 40, 24, 56, 14, 46)(10, 42, 22, 54, 31, 63, 29, 61, 13, 45, 25, 57, 32, 64, 28, 60)(65, 97, 67, 99, 74, 106, 90, 122, 94, 126, 87, 119, 77, 109, 68, 100)(66, 98, 71, 103, 86, 118, 76, 108, 91, 123, 73, 105, 89, 121, 72, 104)(69, 101, 79, 111, 92, 124, 78, 110, 82, 114, 75, 107, 93, 125, 80, 112)(70, 102, 83, 115, 95, 127, 88, 120, 81, 113, 85, 117, 96, 128, 84, 116)
	L = (1, 68)(2, 72)(3, 65)(4, 77)(5, 80)(6, 84)(7, 66)(8, 89)(9, 91)(10, 67)(11, 82)(12, 86)(13, 87)(14, 92)(15, 69)(16, 93)(17, 88)(18, 78)(19, 70)(20, 96)(21, 81)(22, 71)(23, 94)(24, 95)(25, 73)(26, 74)(27, 76)(28, 79)(29, 75)(30, 90)(31, 83)(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) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.293
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.313 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y1^-3, Y2 * Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y3^2 * Y1)^2, Y1^-1 * Y3^4 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^2 * 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 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 13, 45, 4, 36, 12, 44, 24, 56, 8, 40)(9, 41, 25, 57, 15, 47, 28, 60, 11, 43, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 21, 53, 31, 63, 22, 54, 30, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 80, 88)(89, 93, 91, 95)(90, 94, 92, 96)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 116, 112, 120)(121, 125, 123, 127)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.335
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.314 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^4, (Y3 * Y1^-1)^2, Y3^2 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2, Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3^-1)^2, R * Y1 * R * Y2, (Y3^-1 * Y2^-1)^2, (Y1 * Y2)^4, (Y3 * Y1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 22, 54, 29, 61, 27, 59, 13, 45, 7, 39)(2, 34, 10, 42, 6, 38, 18, 50, 26, 58, 31, 63, 21, 53, 12, 44)(3, 35, 14, 46, 25, 57, 32, 64, 23, 55, 17, 49, 5, 37, 16, 48)(8, 40, 19, 51, 11, 43, 24, 56, 30, 62, 28, 60, 15, 47, 20, 52)(65, 66, 72, 69)(67, 77, 70, 79)(68, 81, 83, 76)(71, 80, 84, 74)(73, 85, 75, 87)(78, 92, 82, 91)(86, 96, 88, 95)(89, 93, 90, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 106, 115, 112)(103, 114, 116, 110)(108, 120, 113, 118)(109, 121, 111, 122)(117, 125, 119, 126)(123, 127, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.336
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.315 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1^-1, Y1^4, R * Y1 * R * Y2, Y2^2 * Y1^2, (Y3 * Y1^-1)^2, Y3^2 * Y1^-1 * Y2^-1, Y3^2 * Y1 * Y2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1^-1, (Y2^-1 * Y1^-1)^4, Y3^-1 * Y1 * Y3^5 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 26, 58, 29, 61, 23, 55, 9, 41, 7, 39)(2, 34, 10, 42, 21, 53, 30, 62, 27, 59, 17, 49, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 18, 50, 22, 54, 32, 64, 25, 57, 16, 48)(8, 40, 19, 51, 15, 47, 28, 60, 31, 63, 24, 56, 11, 43, 20, 52)(65, 66, 72, 69)(67, 77, 70, 79)(68, 78, 83, 76)(71, 82, 84, 74)(73, 85, 75, 86)(80, 92, 81, 90)(87, 96, 88, 94)(89, 93, 91, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 113, 115, 112)(103, 108, 116, 110)(106, 120, 114, 119)(109, 121, 111, 123)(117, 125, 118, 127)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.337
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.316 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y1^-1 * Y2^-1, Y2 * Y1, Y2 * Y1^-2 * Y2, R * Y1 * R * Y2, Y1^2 * Y2^-1 * Y1, Y2^4, (R * Y3)^2, Y2 * Y3^-2 * Y1^-1 * Y3^-2, Y1^-1 * Y2 * Y3^4, (Y3^2 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 15, 47, 28, 60, 12, 44, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 20, 52, 31, 63, 22, 54, 30, 62)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 85, 80, 88)(89, 93, 91, 95)(90, 94, 92, 96)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 120, 112, 117)(121, 127, 123, 125)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.338
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.317 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^2 * Y1^-2, Y2^3 * Y1^-1, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, Y2^4, Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y3, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-2 * Y2 * Y1^-1 * Y3^-2, Y3^-1 * Y2^-1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^2 * Y1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 14, 46, 28, 60, 12, 44, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 20, 52, 31, 63, 23, 55, 30, 62)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 88, 80, 85)(89, 93, 91, 95)(90, 96, 92, 94)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 117, 112, 120)(121, 127, 123, 125)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.339
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.318 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^4, Y1 * Y3^4 * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 13, 45, 4, 36, 12, 44, 24, 56, 8, 40)(9, 41, 25, 57, 14, 46, 28, 60, 11, 43, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 21, 53, 31, 63, 23, 55, 30, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 80, 84)(89, 93, 91, 95)(90, 96, 92, 94)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 120, 112, 116)(121, 125, 123, 127)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.340
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.319 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y2^4, Y2^-1 * Y3^-2 * Y1^-1, Y1^-2 * Y2^-2, Y1^4, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^5, (Y1^-2 * Y3^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 24, 56, 31, 63, 28, 60, 13, 45, 7, 39)(2, 34, 10, 42, 6, 38, 18, 50, 30, 62, 17, 49, 23, 55, 12, 44)(3, 35, 14, 46, 29, 61, 19, 51, 25, 57, 20, 52, 5, 37, 16, 48)(8, 40, 21, 53, 11, 43, 27, 59, 32, 64, 26, 58, 15, 47, 22, 54)(65, 66, 72, 69)(67, 77, 70, 79)(68, 78, 85, 82)(71, 83, 86, 81)(73, 87, 75, 89)(74, 88, 80, 91)(76, 92, 84, 90)(93, 95, 94, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 113, 117, 115)(103, 108, 118, 116)(106, 122, 112, 124)(109, 125, 111, 126)(110, 120, 114, 123)(119, 127, 121, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.341
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.320 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^2 * Y1^-1 * Y2^-1, Y2^2 * Y1^2, (R * Y3)^2, Y3^2 * Y1 * Y2, R * Y1 * R * Y2, Y2^2 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1, Y1 * Y3^6 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 26, 58, 31, 63, 25, 57, 9, 41, 7, 39)(2, 34, 10, 42, 23, 55, 18, 50, 30, 62, 20, 52, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 19, 51, 24, 56, 17, 49, 29, 61, 16, 48)(8, 40, 21, 53, 15, 47, 27, 59, 32, 64, 28, 60, 11, 43, 22, 54)(65, 66, 72, 69)(67, 77, 70, 79)(68, 81, 85, 82)(71, 80, 86, 84)(73, 87, 75, 88)(74, 90, 83, 91)(76, 89, 78, 92)(93, 95, 94, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 106, 117, 115)(103, 114, 118, 113)(108, 123, 110, 122)(109, 125, 111, 126)(112, 121, 116, 124)(119, 127, 120, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.342
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.321 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 89>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2^2 * Y1^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^4, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y2 * Y3^2 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^8, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 17, 49, 11, 43)(6, 38, 18, 50, 9, 41, 19, 51)(12, 44, 25, 57, 15, 47, 26, 58)(13, 45, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(21, 53, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 78, 86, 73, 67)(68, 76, 82, 80, 69, 79, 83, 77)(71, 84, 75, 88, 72, 87, 74, 85)(89, 93, 92, 96, 90, 94, 91, 95)(97, 99, 105, 118, 110, 113, 102, 98)(100, 109, 115, 111, 101, 112, 114, 108)(103, 117, 106, 119, 104, 120, 107, 116)(121, 127, 123, 126, 122, 128, 124, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.343
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.322 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y2, Y2^2 * Y1^2, (Y1^-1 * Y2^-1)^2, (Y1^-1, Y2), (R * Y3)^2, Y1^-2 * Y2 * Y1^-1, R * Y2 * R * Y1, Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3^-1 * Y2^2 * Y3 * Y2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y1^-1 * Y3^-10 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 67, 73, 70, 75, 69)(68, 79, 83, 80, 71, 82, 84, 81)(74, 85, 77, 86, 76, 88, 78, 87)(89, 93, 91, 95, 90, 94, 92, 96)(97, 99, 107, 98, 105, 101, 104, 102)(100, 112, 116, 111, 103, 113, 115, 114)(106, 118, 110, 117, 108, 119, 109, 120)(121, 127, 124, 125, 122, 128, 123, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.344
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.323 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-2 * Y2^-2, Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^-2, Y3^4, Y3^-1 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, Y3^-2 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1, Y2^-1), Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 18, 50, 11, 43, 20, 52)(13, 45, 22, 54, 15, 47, 24, 56)(17, 49, 26, 58, 19, 51, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(25, 57, 31, 63, 27, 59, 32, 64)(65, 66, 72, 81, 89, 87, 77, 69)(67, 73, 70, 75, 83, 91, 85, 79)(68, 78, 86, 93, 95, 92, 82, 76)(71, 80, 88, 94, 96, 90, 84, 74)(97, 99, 109, 117, 121, 115, 104, 102)(98, 105, 101, 111, 119, 123, 113, 107)(100, 106, 114, 122, 127, 126, 118, 112)(103, 108, 116, 124, 128, 125, 120, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.345
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.324 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, (Y2^-1, Y1), Y3^-2 * Y1 * Y2, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-2 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 22, 54, 11, 43, 24, 56)(13, 45, 26, 58, 15, 47, 27, 59)(17, 49, 21, 53, 20, 52, 23, 55)(18, 50, 29, 61, 19, 51, 30, 62)(25, 57, 31, 63, 28, 60, 32, 64)(65, 66, 72, 85, 95, 94, 77, 69)(67, 73, 70, 75, 87, 96, 93, 79)(68, 81, 90, 76, 92, 78, 86, 83)(71, 84, 91, 74, 89, 80, 88, 82)(97, 99, 109, 125, 127, 119, 104, 102)(98, 105, 101, 111, 126, 128, 117, 107)(100, 114, 118, 112, 124, 106, 122, 116)(103, 115, 120, 110, 121, 108, 123, 113)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.346
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.325 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^2 * Y2^4, Y3^-2 * Y2^-3 * Y1^-1, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y2, Y2^-3 * Y3^2 * Y1^-1, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y1^8, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 21, 53, 8, 40)(4, 36, 12, 44, 17, 49, 14, 46)(6, 38, 18, 50, 13, 45, 19, 51)(9, 41, 25, 57, 15, 47, 26, 58)(11, 43, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 74, 85, 77, 68)(67, 73, 83, 80, 69, 79, 82, 75)(71, 84, 76, 88, 72, 87, 78, 86)(89, 93, 91, 95, 90, 94, 92, 96)(97, 98, 102, 113, 106, 117, 109, 100)(99, 105, 115, 112, 101, 111, 114, 107)(103, 116, 108, 120, 104, 119, 110, 118)(121, 125, 123, 127, 122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.347
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.326 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y3^4, (Y2 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, R * Y1 * R * Y2, (Y1^-1 * Y3^-1)^2, Y3^2 * Y2^2 * Y1^2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y3^2 * Y1^-4, Y3^-1 * Y2^-2 * Y3 * Y1^-2, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 29, 61, 12, 44)(3, 35, 13, 45, 31, 63, 14, 46)(5, 37, 18, 50, 22, 54, 15, 47)(6, 38, 21, 53, 23, 55, 16, 48)(8, 40, 24, 56, 19, 51, 25, 57)(9, 41, 26, 58, 20, 52, 27, 59)(11, 43, 30, 62, 32, 64, 28, 60)(65, 66, 72, 86, 81, 93, 83, 69)(67, 73, 87, 96, 95, 84, 70, 75)(68, 79, 89, 74, 71, 82, 88, 76)(77, 92, 85, 90, 78, 94, 80, 91)(97, 99, 104, 119, 113, 127, 115, 102)(98, 105, 118, 128, 125, 116, 101, 107)(100, 112, 121, 109, 103, 117, 120, 110)(106, 124, 114, 122, 108, 126, 111, 123)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.348
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.327 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1^-1 * Y3^-1, (Y2 * Y1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y1^-2 * Y2^-2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y2 * Y1^-3, Y2 * Y1^-2 * Y2^5 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 28, 60, 12, 44)(3, 35, 14, 46, 22, 54, 16, 48)(5, 37, 19, 51, 24, 56, 20, 52)(6, 38, 18, 50, 31, 63, 21, 53)(8, 40, 23, 55, 15, 47, 25, 57)(9, 41, 26, 58, 32, 64, 27, 59)(11, 43, 29, 61, 13, 45, 30, 62)(65, 66, 72, 86, 96, 95, 77, 69)(67, 73, 70, 75, 88, 81, 92, 79)(68, 78, 94, 76, 91, 84, 87, 82)(71, 80, 93, 74, 90, 83, 89, 85)(97, 99, 109, 124, 128, 120, 104, 102)(98, 105, 101, 111, 127, 113, 118, 107)(100, 106, 119, 112, 123, 117, 126, 115)(103, 108, 121, 110, 122, 114, 125, 116)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.349
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.328 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y3^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, R * Y1 * R * Y2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y2^8, Y1^8, Y2^-2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 19, 51, 7, 39)(2, 34, 10, 42, 29, 61, 12, 44)(3, 35, 14, 46, 22, 54, 16, 48)(5, 37, 20, 52, 24, 56, 17, 49)(6, 38, 21, 53, 31, 63, 18, 50)(8, 40, 23, 55, 15, 47, 25, 57)(9, 41, 26, 58, 32, 64, 27, 59)(11, 43, 30, 62, 13, 45, 28, 60)(65, 66, 72, 86, 96, 95, 77, 69)(67, 73, 70, 75, 88, 83, 93, 79)(68, 81, 92, 85, 91, 78, 87, 76)(71, 84, 94, 82, 90, 80, 89, 74)(97, 99, 109, 125, 128, 120, 104, 102)(98, 105, 101, 111, 127, 115, 118, 107)(100, 114, 119, 116, 123, 106, 124, 112)(103, 117, 121, 113, 122, 108, 126, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.350
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.329 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1, Y3^4, (Y2^-1, Y1^-1), Y2^-1 * Y1^-3, Y1^-1 * Y2^-3, Y2^2 * Y1^-2, (Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 70, 75, 67, 73, 69)(68, 77, 84, 80, 71, 78, 83, 79)(74, 85, 81, 88, 76, 86, 82, 87)(89, 93, 91, 95, 90, 94, 92, 96)(97, 99, 104, 101, 107, 98, 105, 102)(100, 110, 116, 111, 103, 109, 115, 112)(106, 118, 113, 119, 108, 117, 114, 120)(121, 126, 123, 128, 122, 125, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.351
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.330 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (Y2^-1, Y1^-1), Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3^-2 * Y2^-2 * Y1^-2, Y1^-1 * Y3^2 * Y1^-3, Y2^2 * Y1 * Y3^2 * Y1, Y1^-1 * Y3^2 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 29, 61, 12, 44)(3, 35, 13, 45, 31, 63, 14, 46)(5, 37, 15, 47, 22, 54, 20, 52)(6, 38, 16, 48, 23, 55, 21, 53)(8, 40, 24, 56, 18, 50, 25, 57)(9, 41, 26, 58, 19, 51, 27, 59)(11, 43, 28, 60, 32, 64, 30, 62)(65, 66, 72, 86, 81, 93, 82, 69)(67, 73, 87, 96, 95, 83, 70, 75)(68, 79, 89, 76, 71, 84, 88, 74)(77, 92, 80, 91, 78, 94, 85, 90)(97, 99, 104, 119, 113, 127, 114, 102)(98, 105, 118, 128, 125, 115, 101, 107)(100, 112, 121, 110, 103, 117, 120, 109)(106, 124, 111, 123, 108, 126, 116, 122)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.352
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.331 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, Y1^-2 * Y2^-2, Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, Y2^-1 * Y3^2 * Y1^-1, R * Y1 * R * Y2, (Y1, Y2^-1), Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 18, 50, 11, 43, 20, 52)(13, 45, 22, 54, 15, 47, 24, 56)(17, 49, 26, 58, 19, 51, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(25, 57, 31, 63, 27, 59, 32, 64)(65, 66, 72, 81, 89, 87, 77, 69)(67, 73, 70, 75, 83, 91, 85, 79)(68, 80, 86, 94, 95, 90, 82, 74)(71, 78, 88, 93, 96, 92, 84, 76)(97, 99, 109, 117, 121, 115, 104, 102)(98, 105, 101, 111, 119, 123, 113, 107)(100, 108, 114, 124, 127, 125, 118, 110)(103, 106, 116, 122, 128, 126, 120, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.353
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.332 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y1^-2 * Y2^-2, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3, Y2^-1 * Y3^2 * Y1^-1, Y2^-2 * Y1^-2, Y2^-2 * Y3 * Y1^2 * Y3^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^2 * Y3 * Y2^-2, Y3^-1 * Y1^-1 * Y2^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(8, 40, 22, 54, 11, 43, 24, 56)(13, 45, 27, 59, 15, 47, 26, 58)(17, 49, 23, 55, 20, 52, 21, 53)(18, 50, 30, 62, 19, 51, 29, 61)(25, 57, 32, 64, 28, 60, 31, 63)(65, 66, 72, 85, 95, 94, 77, 69)(67, 73, 70, 75, 87, 96, 93, 79)(68, 81, 91, 74, 89, 80, 86, 83)(71, 84, 90, 76, 92, 78, 88, 82)(97, 99, 109, 125, 127, 119, 104, 102)(98, 105, 101, 111, 126, 128, 117, 107)(100, 114, 118, 110, 121, 108, 123, 116)(103, 115, 120, 112, 124, 106, 122, 113)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.354
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.333 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, (Y1^-1 * Y2^-1)^2, (Y2^-1, Y1^-1), R * Y2 * R * Y1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1^-3, Y3^-1 * Y2^-3 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^5, Y3^-1 * Y1^-1 * Y3^-1 * Y2^5 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 19, 51, 7, 39)(2, 34, 10, 42, 29, 61, 12, 44)(3, 35, 14, 46, 22, 54, 16, 48)(5, 37, 17, 49, 24, 56, 20, 52)(6, 38, 18, 50, 31, 63, 21, 53)(8, 40, 23, 55, 15, 47, 25, 57)(9, 41, 26, 58, 32, 64, 27, 59)(11, 43, 28, 60, 13, 45, 30, 62)(65, 66, 72, 86, 96, 95, 77, 69)(67, 73, 70, 75, 88, 83, 93, 79)(68, 81, 94, 85, 91, 80, 87, 74)(71, 84, 92, 82, 90, 78, 89, 76)(97, 99, 109, 125, 128, 120, 104, 102)(98, 105, 101, 111, 127, 115, 118, 107)(100, 114, 119, 116, 123, 108, 126, 110)(103, 117, 121, 113, 122, 106, 124, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.355
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.334 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, (Y1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2 * Y1^-2, Y2^2 * Y3 * Y2^2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-2, Y1^-2 * Y2 * Y1^-1 * Y3^2, Y3^-1 * Y1 * Y3 * Y1^-3, (Y3^-1 * Y1^-1 * Y3 * Y1^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 28, 60, 12, 44)(3, 35, 14, 46, 22, 54, 16, 48)(5, 37, 20, 52, 24, 56, 19, 51)(6, 38, 21, 53, 31, 63, 18, 50)(8, 40, 23, 55, 15, 47, 25, 57)(9, 41, 26, 58, 32, 64, 27, 59)(11, 43, 30, 62, 13, 45, 29, 61)(65, 66, 72, 86, 96, 95, 77, 69)(67, 73, 70, 75, 88, 81, 92, 79)(68, 80, 93, 74, 91, 84, 87, 82)(71, 78, 94, 76, 90, 83, 89, 85)(97, 99, 109, 124, 128, 120, 104, 102)(98, 105, 101, 111, 127, 113, 118, 107)(100, 108, 119, 110, 123, 117, 125, 115)(103, 106, 121, 112, 122, 114, 126, 116)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.356
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.335 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y1^-3, Y2 * Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y3^2 * Y1)^2, Y1^-1 * Y3^4 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^2 * 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 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 13, 45, 77, 109, 4, 36, 68, 100, 12, 44, 76, 108, 24, 56, 88, 120, 8, 40, 72, 104)(9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 11, 43, 75, 107, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 21, 53, 85, 117, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 52)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 56)(17, 43)(18, 47)(19, 44)(20, 48)(21, 39)(22, 45)(23, 40)(24, 42)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 57)(32, 58)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 115)(72, 118)(73, 113)(74, 116)(75, 99)(76, 117)(77, 119)(78, 114)(79, 101)(80, 120)(81, 107)(82, 111)(83, 108)(84, 112)(85, 103)(86, 109)(87, 104)(88, 106)(89, 125)(90, 126)(91, 127)(92, 128)(93, 123)(94, 124)(95, 121)(96, 122)
	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 E21.313
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.336 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^4, (Y3 * Y1^-1)^2, Y3^2 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2, Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3^-1)^2, R * Y1 * R * Y2, (Y3^-1 * Y2^-1)^2, (Y1 * Y2)^4, (Y3 * Y1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 22, 54, 86, 118, 29, 61, 93, 125, 27, 59, 91, 123, 13, 45, 77, 109, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 18, 50, 82, 114, 26, 58, 90, 122, 31, 63, 95, 127, 21, 53, 85, 117, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 25, 57, 89, 121, 32, 64, 96, 128, 23, 55, 87, 119, 17, 49, 81, 113, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 24, 56, 88, 120, 30, 62, 94, 126, 28, 60, 92, 124, 15, 47, 79, 111, 20, 52, 84, 116)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 48)(8, 37)(9, 53)(10, 39)(11, 55)(12, 36)(13, 38)(14, 60)(15, 35)(16, 52)(17, 51)(18, 59)(19, 44)(20, 42)(21, 43)(22, 64)(23, 41)(24, 63)(25, 61)(26, 62)(27, 46)(28, 50)(29, 58)(30, 57)(31, 54)(32, 56)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 115)(75, 98)(76, 120)(77, 121)(78, 103)(79, 122)(80, 100)(81, 118)(82, 116)(83, 112)(84, 110)(85, 125)(86, 108)(87, 126)(88, 113)(89, 111)(90, 109)(91, 127)(92, 128)(93, 119)(94, 117)(95, 124)(96, 123)
	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 E21.314
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.337 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1^-1, Y1^4, R * Y1 * R * Y2, Y2^2 * Y1^2, (Y3 * Y1^-1)^2, Y3^2 * Y1^-1 * Y2^-1, Y3^2 * Y1 * Y2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1^-1, (Y2^-1 * Y1^-1)^4, Y3^-1 * Y1 * Y3^5 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 26, 58, 90, 122, 29, 61, 93, 125, 23, 55, 87, 119, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 21, 53, 85, 117, 30, 62, 94, 126, 27, 59, 91, 123, 17, 49, 81, 113, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 18, 50, 82, 114, 22, 54, 86, 118, 32, 64, 96, 128, 25, 57, 89, 121, 16, 48, 80, 112)(8, 40, 72, 104, 19, 51, 83, 115, 15, 47, 79, 111, 28, 60, 92, 124, 31, 63, 95, 127, 24, 56, 88, 120, 11, 43, 75, 107, 20, 52, 84, 116)
	L = (1, 34)(2, 40)(3, 45)(4, 46)(5, 33)(6, 47)(7, 50)(8, 37)(9, 53)(10, 39)(11, 54)(12, 36)(13, 38)(14, 51)(15, 35)(16, 60)(17, 58)(18, 52)(19, 44)(20, 42)(21, 43)(22, 41)(23, 64)(24, 62)(25, 61)(26, 48)(27, 63)(28, 49)(29, 59)(30, 55)(31, 57)(32, 56)(65, 99)(66, 105)(67, 104)(68, 113)(69, 107)(70, 97)(71, 108)(72, 102)(73, 101)(74, 120)(75, 98)(76, 116)(77, 121)(78, 103)(79, 123)(80, 100)(81, 115)(82, 119)(83, 112)(84, 110)(85, 125)(86, 127)(87, 106)(88, 114)(89, 111)(90, 126)(91, 109)(92, 128)(93, 118)(94, 124)(95, 117)(96, 122)
	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 E21.315
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.338 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y1^-1 * Y2^-1, Y2 * Y1, Y2 * Y1^-2 * Y2, R * Y1 * R * Y2, Y1^2 * Y2^-1 * Y1, Y2^4, (R * Y3)^2, Y2 * Y3^-2 * Y1^-1 * Y3^-2, Y1^-1 * Y2 * Y3^4, (Y3^2 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 53)(14, 50)(15, 37)(16, 56)(17, 44)(18, 47)(19, 41)(20, 39)(21, 48)(22, 42)(23, 40)(24, 45)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 120)(78, 101)(79, 114)(80, 117)(81, 107)(82, 110)(83, 103)(84, 105)(85, 109)(86, 104)(87, 106)(88, 112)(89, 127)(90, 128)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	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 E21.316
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.339 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^2 * Y1^-2, Y2^3 * Y1^-1, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, Y2^4, Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y3^2 * Y2^-1 * Y3, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-2 * Y2 * Y1^-1 * Y3^-2, Y3^-1 * Y2^-1 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^2 * Y1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 14, 46, 78, 110, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 22, 54, 86, 118, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 23, 55, 87, 119, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 56)(14, 50)(15, 37)(16, 53)(17, 44)(18, 47)(19, 41)(20, 39)(21, 45)(22, 42)(23, 40)(24, 48)(25, 61)(26, 64)(27, 63)(28, 62)(29, 59)(30, 58)(31, 57)(32, 60)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 117)(78, 101)(79, 114)(80, 120)(81, 107)(82, 110)(83, 103)(84, 105)(85, 112)(86, 104)(87, 106)(88, 109)(89, 127)(90, 126)(91, 125)(92, 128)(93, 121)(94, 124)(95, 123)(96, 122)
	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 E21.317
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.340 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y1^4, Y1 * Y3^4 * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 13, 45, 77, 109, 4, 36, 68, 100, 12, 44, 76, 108, 24, 56, 88, 120, 8, 40, 72, 104)(9, 41, 73, 105, 25, 57, 89, 121, 14, 46, 78, 110, 28, 60, 92, 124, 11, 43, 75, 107, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 22, 54, 86, 118, 32, 64, 96, 128, 21, 53, 85, 117, 31, 63, 95, 127, 23, 55, 87, 119, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 56)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 52)(17, 43)(18, 47)(19, 44)(20, 42)(21, 39)(22, 45)(23, 40)(24, 48)(25, 61)(26, 64)(27, 63)(28, 62)(29, 59)(30, 58)(31, 57)(32, 60)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 115)(72, 118)(73, 113)(74, 120)(75, 99)(76, 117)(77, 119)(78, 114)(79, 101)(80, 116)(81, 107)(82, 111)(83, 108)(84, 106)(85, 103)(86, 109)(87, 104)(88, 112)(89, 125)(90, 128)(91, 127)(92, 126)(93, 123)(94, 122)(95, 121)(96, 124)
	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 E21.318
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.341 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y2^4, Y2^-1 * Y3^-2 * Y1^-1, Y1^-2 * Y2^-2, Y1^4, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3^5, (Y1^-2 * Y3^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 24, 56, 88, 120, 31, 63, 95, 127, 28, 60, 92, 124, 13, 45, 77, 109, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 17, 49, 81, 113, 23, 55, 87, 119, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 29, 61, 93, 125, 19, 51, 83, 115, 25, 57, 89, 121, 20, 52, 84, 116, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 11, 43, 75, 107, 27, 59, 91, 123, 32, 64, 96, 128, 26, 58, 90, 122, 15, 47, 79, 111, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 45)(4, 46)(5, 33)(6, 47)(7, 51)(8, 37)(9, 55)(10, 56)(11, 57)(12, 60)(13, 38)(14, 53)(15, 35)(16, 59)(17, 39)(18, 36)(19, 54)(20, 58)(21, 50)(22, 49)(23, 43)(24, 48)(25, 41)(26, 44)(27, 42)(28, 52)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 113)(69, 107)(70, 97)(71, 108)(72, 102)(73, 101)(74, 122)(75, 98)(76, 118)(77, 125)(78, 120)(79, 126)(80, 124)(81, 117)(82, 123)(83, 100)(84, 103)(85, 115)(86, 116)(87, 127)(88, 114)(89, 128)(90, 112)(91, 110)(92, 106)(93, 111)(94, 109)(95, 121)(96, 119)
	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 E21.319
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.342 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^2 * Y1^-1 * Y2^-1, Y2^2 * Y1^2, (R * Y3)^2, Y3^2 * Y1 * Y2, R * Y1 * R * Y2, Y2^2 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1, Y1 * Y3^6 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 26, 58, 90, 122, 31, 63, 95, 127, 25, 57, 89, 121, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 23, 55, 87, 119, 18, 50, 82, 114, 30, 62, 94, 126, 20, 52, 84, 116, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 19, 51, 83, 115, 24, 56, 88, 120, 17, 49, 81, 113, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 15, 47, 79, 111, 27, 59, 91, 123, 32, 64, 96, 128, 28, 60, 92, 124, 11, 43, 75, 107, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 48)(8, 37)(9, 55)(10, 58)(11, 56)(12, 57)(13, 38)(14, 60)(15, 35)(16, 54)(17, 53)(18, 36)(19, 59)(20, 39)(21, 50)(22, 52)(23, 43)(24, 41)(25, 46)(26, 51)(27, 42)(28, 44)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 117)(75, 98)(76, 123)(77, 125)(78, 122)(79, 126)(80, 121)(81, 103)(82, 118)(83, 100)(84, 124)(85, 115)(86, 113)(87, 127)(88, 128)(89, 116)(90, 108)(91, 110)(92, 112)(93, 111)(94, 109)(95, 120)(96, 119)
	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 E21.320
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.343 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 89>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2^2 * Y1^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^4, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y2 * Y3^2 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^8, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 17, 49, 81, 113, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 9, 41, 73, 105, 19, 51, 83, 115)(12, 44, 76, 108, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(13, 45, 77, 109, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 53)(11, 56)(12, 50)(13, 36)(14, 54)(15, 51)(16, 37)(17, 46)(18, 48)(19, 45)(20, 43)(21, 39)(22, 41)(23, 42)(24, 40)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 118)(74, 119)(75, 116)(76, 100)(77, 115)(78, 113)(79, 101)(80, 114)(81, 102)(82, 108)(83, 111)(84, 103)(85, 106)(86, 110)(87, 104)(88, 107)(89, 127)(90, 128)(91, 126)(92, 125)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.321
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.344 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-1 * Y2, Y2^2 * Y1^2, (Y1^-1 * Y2^-1)^2, (Y1^-1, Y2), (R * Y3)^2, Y1^-2 * Y2 * Y1^-1, R * Y2 * R * Y1, Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3^-1 * Y2^2 * Y3 * Y2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y1^-1 * Y3^-10 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 35)(9, 38)(10, 53)(11, 37)(12, 56)(13, 54)(14, 55)(15, 51)(16, 39)(17, 36)(18, 52)(19, 48)(20, 49)(21, 45)(22, 44)(23, 42)(24, 46)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 58)(32, 57)(65, 99)(66, 105)(67, 107)(68, 112)(69, 104)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 120)(78, 117)(79, 103)(80, 116)(81, 115)(82, 100)(83, 114)(84, 111)(85, 108)(86, 110)(87, 109)(88, 106)(89, 127)(90, 128)(91, 126)(92, 125)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.322
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.345 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-2 * Y2^-2, Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^-2, Y3^4, Y3^-1 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, Y3^-2 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y1, Y2^-1), Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 18, 50, 82, 114, 11, 43, 75, 107, 20, 52, 84, 116)(13, 45, 77, 109, 22, 54, 86, 118, 15, 47, 79, 111, 24, 56, 88, 120)(17, 49, 81, 113, 26, 58, 90, 122, 19, 51, 83, 115, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(25, 57, 89, 121, 31, 63, 95, 127, 27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 48)(8, 49)(9, 38)(10, 39)(11, 51)(12, 36)(13, 37)(14, 54)(15, 35)(16, 56)(17, 57)(18, 44)(19, 59)(20, 42)(21, 47)(22, 61)(23, 45)(24, 62)(25, 55)(26, 52)(27, 53)(28, 50)(29, 63)(30, 64)(31, 60)(32, 58)(65, 99)(66, 105)(67, 109)(68, 106)(69, 111)(70, 97)(71, 108)(72, 102)(73, 101)(74, 114)(75, 98)(76, 116)(77, 117)(78, 103)(79, 119)(80, 100)(81, 107)(82, 122)(83, 104)(84, 124)(85, 121)(86, 112)(87, 123)(88, 110)(89, 115)(90, 127)(91, 113)(92, 128)(93, 120)(94, 118)(95, 126)(96, 125)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.323
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.346 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, (Y2^-1, Y1), Y3^-2 * Y1 * Y2, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-2 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 22, 54, 86, 118, 11, 43, 75, 107, 24, 56, 88, 120)(13, 45, 77, 109, 26, 58, 90, 122, 15, 47, 79, 111, 27, 59, 91, 123)(17, 49, 81, 113, 21, 53, 85, 117, 20, 52, 84, 116, 23, 55, 87, 119)(18, 50, 82, 114, 29, 61, 93, 125, 19, 51, 83, 115, 30, 62, 94, 126)(25, 57, 89, 121, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 53)(9, 38)(10, 57)(11, 55)(12, 60)(13, 37)(14, 54)(15, 35)(16, 56)(17, 58)(18, 39)(19, 36)(20, 59)(21, 63)(22, 51)(23, 64)(24, 50)(25, 48)(26, 44)(27, 42)(28, 46)(29, 47)(30, 45)(31, 62)(32, 61)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 115)(72, 102)(73, 101)(74, 122)(75, 98)(76, 123)(77, 125)(78, 121)(79, 126)(80, 124)(81, 103)(82, 118)(83, 120)(84, 100)(85, 107)(86, 112)(87, 104)(88, 110)(89, 108)(90, 116)(91, 113)(92, 106)(93, 127)(94, 128)(95, 119)(96, 117)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.324
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.347 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^2 * Y2^4, Y3^-2 * Y2^-3 * Y1^-1, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y2, Y2^-3 * Y3^2 * Y1^-1, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y1^8, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 17, 49, 81, 113, 14, 46, 78, 110)(6, 38, 70, 102, 18, 50, 82, 114, 13, 45, 77, 109, 19, 51, 83, 115)(9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(11, 43, 75, 107, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 49)(7, 52)(8, 55)(9, 51)(10, 53)(11, 35)(12, 56)(13, 36)(14, 54)(15, 50)(16, 37)(17, 42)(18, 43)(19, 48)(20, 44)(21, 45)(22, 39)(23, 46)(24, 40)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 58)(32, 57)(65, 98)(66, 102)(67, 105)(68, 97)(69, 111)(70, 113)(71, 116)(72, 119)(73, 115)(74, 117)(75, 99)(76, 120)(77, 100)(78, 118)(79, 114)(80, 101)(81, 106)(82, 107)(83, 112)(84, 108)(85, 109)(86, 103)(87, 110)(88, 104)(89, 125)(90, 126)(91, 127)(92, 128)(93, 123)(94, 124)(95, 122)(96, 121)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.325
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.348 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2 * Y1^-1, Y3^4, (Y2 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, R * Y1 * R * Y2, (Y1^-1 * Y3^-1)^2, Y3^2 * Y2^2 * Y1^2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-2, Y3^2 * Y1^-4, Y3^-1 * Y2^-2 * Y3 * Y1^-2, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 29, 61, 93, 125, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 31, 63, 95, 127, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 22, 54, 86, 118, 15, 47, 79, 111)(6, 38, 70, 102, 21, 53, 85, 117, 23, 55, 87, 119, 16, 48, 80, 112)(8, 40, 72, 104, 24, 56, 88, 120, 19, 51, 83, 115, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 20, 52, 84, 116, 27, 59, 91, 123)(11, 43, 75, 107, 30, 62, 94, 126, 32, 64, 96, 128, 28, 60, 92, 124)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 54)(9, 55)(10, 39)(11, 35)(12, 36)(13, 60)(14, 62)(15, 57)(16, 59)(17, 61)(18, 56)(19, 37)(20, 38)(21, 58)(22, 49)(23, 64)(24, 44)(25, 42)(26, 46)(27, 45)(28, 53)(29, 51)(30, 48)(31, 52)(32, 63)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 117)(72, 119)(73, 118)(74, 124)(75, 98)(76, 126)(77, 103)(78, 100)(79, 123)(80, 121)(81, 127)(82, 122)(83, 102)(84, 101)(85, 120)(86, 128)(87, 113)(88, 110)(89, 109)(90, 108)(91, 106)(92, 114)(93, 116)(94, 111)(95, 115)(96, 125)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.326
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.349 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1^-1 * Y3^-1, (Y2 * Y1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y1^-2 * Y2^-2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y2 * Y1^-3, Y2 * Y1^-2 * Y2^5 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 22, 54, 86, 118, 16, 48, 80, 112)(5, 37, 69, 101, 19, 51, 83, 115, 24, 56, 88, 120, 20, 52, 84, 116)(6, 38, 70, 102, 18, 50, 82, 114, 31, 63, 95, 127, 21, 53, 85, 117)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 32, 64, 96, 128, 27, 59, 91, 123)(11, 43, 75, 107, 29, 61, 93, 125, 13, 45, 77, 109, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 48)(8, 54)(9, 38)(10, 58)(11, 56)(12, 59)(13, 37)(14, 62)(15, 35)(16, 61)(17, 60)(18, 36)(19, 57)(20, 55)(21, 39)(22, 64)(23, 50)(24, 49)(25, 53)(26, 51)(27, 52)(28, 47)(29, 42)(30, 44)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 106)(69, 111)(70, 97)(71, 108)(72, 102)(73, 101)(74, 119)(75, 98)(76, 121)(77, 124)(78, 122)(79, 127)(80, 123)(81, 118)(82, 125)(83, 100)(84, 103)(85, 126)(86, 107)(87, 112)(88, 104)(89, 110)(90, 114)(91, 117)(92, 128)(93, 116)(94, 115)(95, 113)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.327
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.350 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y3^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, R * Y1 * R * Y2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y2^8, Y1^8, Y2^-2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 19, 51, 83, 115, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 29, 61, 93, 125, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 22, 54, 86, 118, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 24, 56, 88, 120, 17, 49, 81, 113)(6, 38, 70, 102, 21, 53, 85, 117, 31, 63, 95, 127, 18, 50, 82, 114)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 32, 64, 96, 128, 27, 59, 91, 123)(11, 43, 75, 107, 30, 62, 94, 126, 13, 45, 77, 109, 28, 60, 92, 124)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 54)(9, 38)(10, 39)(11, 56)(12, 36)(13, 37)(14, 55)(15, 35)(16, 57)(17, 60)(18, 58)(19, 61)(20, 62)(21, 59)(22, 64)(23, 44)(24, 51)(25, 42)(26, 48)(27, 46)(28, 53)(29, 47)(30, 50)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 117)(72, 102)(73, 101)(74, 124)(75, 98)(76, 126)(77, 125)(78, 103)(79, 127)(80, 100)(81, 122)(82, 119)(83, 118)(84, 123)(85, 121)(86, 107)(87, 116)(88, 104)(89, 113)(90, 108)(91, 106)(92, 112)(93, 128)(94, 110)(95, 115)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.328
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.351 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1, Y3^4, (Y2^-1, Y1^-1), Y2^-1 * Y1^-3, Y1^-1 * Y2^-3, Y2^2 * Y1^-2, (Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 38)(9, 37)(10, 53)(11, 35)(12, 54)(13, 52)(14, 51)(15, 36)(16, 39)(17, 56)(18, 55)(19, 47)(20, 48)(21, 49)(22, 50)(23, 42)(24, 44)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 58)(32, 57)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 101)(73, 102)(74, 118)(75, 98)(76, 117)(77, 115)(78, 116)(79, 103)(80, 100)(81, 119)(82, 120)(83, 112)(84, 111)(85, 114)(86, 113)(87, 108)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 124)(94, 123)(95, 121)(96, 122)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.329
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.352 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (Y2^-1, Y1^-1), Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3^-2 * Y2^-2 * Y1^-2, Y1^-1 * Y3^2 * Y1^-3, Y2^2 * Y1 * Y3^2 * Y1, Y1^-1 * Y3^2 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 29, 61, 93, 125, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 31, 63, 95, 127, 14, 46, 78, 110)(5, 37, 69, 101, 15, 47, 79, 111, 22, 54, 86, 118, 20, 52, 84, 116)(6, 38, 70, 102, 16, 48, 80, 112, 23, 55, 87, 119, 21, 53, 85, 117)(8, 40, 72, 104, 24, 56, 88, 120, 18, 50, 82, 114, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 19, 51, 83, 115, 27, 59, 91, 123)(11, 43, 75, 107, 28, 60, 92, 124, 32, 64, 96, 128, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 52)(8, 54)(9, 55)(10, 36)(11, 35)(12, 39)(13, 60)(14, 62)(15, 57)(16, 59)(17, 61)(18, 37)(19, 38)(20, 56)(21, 58)(22, 49)(23, 64)(24, 42)(25, 44)(26, 45)(27, 46)(28, 48)(29, 50)(30, 53)(31, 51)(32, 63)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 117)(72, 119)(73, 118)(74, 124)(75, 98)(76, 126)(77, 100)(78, 103)(79, 123)(80, 121)(81, 127)(82, 102)(83, 101)(84, 122)(85, 120)(86, 128)(87, 113)(88, 109)(89, 110)(90, 106)(91, 108)(92, 111)(93, 115)(94, 116)(95, 114)(96, 125)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.330
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.353 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, Y1^-2 * Y2^-2, Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, Y2^-1 * Y3^2 * Y1^-1, R * Y1 * R * Y2, (Y1, Y2^-1), Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 18, 50, 82, 114, 11, 43, 75, 107, 20, 52, 84, 116)(13, 45, 77, 109, 22, 54, 86, 118, 15, 47, 79, 111, 24, 56, 88, 120)(17, 49, 81, 113, 26, 58, 90, 122, 19, 51, 83, 115, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(25, 57, 89, 121, 31, 63, 95, 127, 27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 48)(5, 33)(6, 43)(7, 46)(8, 49)(9, 38)(10, 36)(11, 51)(12, 39)(13, 37)(14, 56)(15, 35)(16, 54)(17, 57)(18, 42)(19, 59)(20, 44)(21, 47)(22, 62)(23, 45)(24, 61)(25, 55)(26, 50)(27, 53)(28, 52)(29, 64)(30, 63)(31, 58)(32, 60)(65, 99)(66, 105)(67, 109)(68, 108)(69, 111)(70, 97)(71, 106)(72, 102)(73, 101)(74, 116)(75, 98)(76, 114)(77, 117)(78, 100)(79, 119)(80, 103)(81, 107)(82, 124)(83, 104)(84, 122)(85, 121)(86, 110)(87, 123)(88, 112)(89, 115)(90, 128)(91, 113)(92, 127)(93, 118)(94, 120)(95, 125)(96, 126)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.331
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.354 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y1^-2 * Y2^-2, Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3, Y2^-1 * Y3^2 * Y1^-1, Y2^-2 * Y1^-2, Y2^-2 * Y3 * Y1^2 * Y3^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^2 * Y3 * Y2^-2, Y3^-1 * Y1^-1 * Y2^2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 22, 54, 86, 118, 11, 43, 75, 107, 24, 56, 88, 120)(13, 45, 77, 109, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(17, 49, 81, 113, 23, 55, 87, 119, 20, 52, 84, 116, 21, 53, 85, 117)(18, 50, 82, 114, 30, 62, 94, 126, 19, 51, 83, 115, 29, 61, 93, 125)(25, 57, 89, 121, 32, 64, 96, 128, 28, 60, 92, 124, 31, 63, 95, 127)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 53)(9, 38)(10, 57)(11, 55)(12, 60)(13, 37)(14, 56)(15, 35)(16, 54)(17, 59)(18, 39)(19, 36)(20, 58)(21, 63)(22, 51)(23, 64)(24, 50)(25, 48)(26, 44)(27, 42)(28, 46)(29, 47)(30, 45)(31, 62)(32, 61)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 115)(72, 102)(73, 101)(74, 122)(75, 98)(76, 123)(77, 125)(78, 121)(79, 126)(80, 124)(81, 103)(82, 118)(83, 120)(84, 100)(85, 107)(86, 110)(87, 104)(88, 112)(89, 108)(90, 113)(91, 116)(92, 106)(93, 127)(94, 128)(95, 119)(96, 117)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.332
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.355 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, (Y1^-1 * Y2^-1)^2, (Y2^-1, Y1^-1), R * Y2 * R * Y1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1^-3, Y3^-1 * Y2^-3 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^5, Y3^-1 * Y1^-1 * Y3^-1 * Y2^5 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 19, 51, 83, 115, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 29, 61, 93, 125, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 22, 54, 86, 118, 16, 48, 80, 112)(5, 37, 69, 101, 17, 49, 81, 113, 24, 56, 88, 120, 20, 52, 84, 116)(6, 38, 70, 102, 18, 50, 82, 114, 31, 63, 95, 127, 21, 53, 85, 117)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 32, 64, 96, 128, 27, 59, 91, 123)(11, 43, 75, 107, 28, 60, 92, 124, 13, 45, 77, 109, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 54)(9, 38)(10, 36)(11, 56)(12, 39)(13, 37)(14, 57)(15, 35)(16, 55)(17, 62)(18, 58)(19, 61)(20, 60)(21, 59)(22, 64)(23, 42)(24, 51)(25, 44)(26, 46)(27, 48)(28, 50)(29, 47)(30, 53)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 117)(72, 102)(73, 101)(74, 124)(75, 98)(76, 126)(77, 125)(78, 100)(79, 127)(80, 103)(81, 122)(82, 119)(83, 118)(84, 123)(85, 121)(86, 107)(87, 116)(88, 104)(89, 113)(90, 106)(91, 108)(92, 112)(93, 128)(94, 110)(95, 115)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.333
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.356 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, (Y1, Y2^-1), R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2 * Y1^-2, Y2^2 * Y3 * Y2^2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-2, Y1^-2 * Y2 * Y1^-1 * Y3^2, Y3^-1 * Y1 * Y3 * Y1^-3, (Y3^-1 * Y1^-1 * Y3 * Y1^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 22, 54, 86, 118, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 24, 56, 88, 120, 19, 51, 83, 115)(6, 38, 70, 102, 21, 53, 85, 117, 31, 63, 95, 127, 18, 50, 82, 114)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 25, 57, 89, 121)(9, 41, 73, 105, 26, 58, 90, 122, 32, 64, 96, 128, 27, 59, 91, 123)(11, 43, 75, 107, 30, 62, 94, 126, 13, 45, 77, 109, 29, 61, 93, 125)
	L = (1, 34)(2, 40)(3, 41)(4, 48)(5, 33)(6, 43)(7, 46)(8, 54)(9, 38)(10, 59)(11, 56)(12, 58)(13, 37)(14, 62)(15, 35)(16, 61)(17, 60)(18, 36)(19, 57)(20, 55)(21, 39)(22, 64)(23, 50)(24, 49)(25, 53)(26, 51)(27, 52)(28, 47)(29, 42)(30, 44)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 108)(69, 111)(70, 97)(71, 106)(72, 102)(73, 101)(74, 121)(75, 98)(76, 119)(77, 124)(78, 123)(79, 127)(80, 122)(81, 118)(82, 126)(83, 100)(84, 103)(85, 125)(86, 107)(87, 110)(88, 104)(89, 112)(90, 114)(91, 117)(92, 128)(93, 115)(94, 116)(95, 113)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.334
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-1, Y1^2 * Y2^2, Y1^4, Y1^2 * Y2^-2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 14, 46, 13, 45, 15, 47)(7, 39, 19, 51, 16, 48, 20, 52)(10, 42, 21, 53, 17, 49, 22, 54)(12, 44, 23, 55, 18, 50, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 71, 103, 77, 109, 80, 112)(74, 106, 76, 108, 81, 113, 82, 114)(78, 110, 83, 115, 79, 111, 84, 116)(85, 117, 87, 119, 86, 118, 88, 120)(89, 121, 90, 122, 91, 123, 92, 124)(93, 125, 94, 126, 95, 127, 96, 128)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 81)(6, 80)(7, 65)(8, 77)(9, 76)(10, 75)(11, 82)(12, 66)(13, 67)(14, 89)(15, 91)(16, 72)(17, 73)(18, 69)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 84)(26, 78)(27, 83)(28, 79)(29, 88)(30, 85)(31, 87)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.396
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, (Y1^-1 * Y2)^2, Y1^2 * Y2^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1^2 * Y2^-2, (R * Y2)^2, (Y1^-1, Y2), Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, (Y1^-1, Y3^-1, Y1^-1), (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 13, 45, 20, 52)(10, 42, 21, 53, 16, 48, 22, 54)(12, 44, 23, 55, 17, 49, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 82, 114, 71, 103)(74, 106, 81, 113, 80, 112, 76, 108)(78, 110, 84, 116, 79, 111, 83, 115)(85, 117, 88, 120, 86, 118, 87, 119)(89, 121, 92, 124, 91, 123, 90, 122)(93, 125, 96, 128, 95, 127, 94, 126)
	L = (1, 68)(2, 74)(3, 77)(4, 67)(5, 80)(6, 71)(7, 65)(8, 82)(9, 81)(10, 73)(11, 76)(12, 66)(13, 72)(14, 89)(15, 91)(16, 75)(17, 69)(18, 70)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 84)(26, 78)(27, 83)(28, 79)(29, 88)(30, 85)(31, 87)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.395
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^4, (R * Y1)^2, Y1^4, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^4 * Y1^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1, Y2^-1, Y1^-1), (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 16, 48, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 79, 111, 92, 124, 75, 107, 91, 123, 78, 110, 90, 122)(83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 95, 127, 86, 118, 94, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^4, (Y2^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 13, 45, 8, 40)(5, 37, 11, 43, 14, 46, 7, 39)(10, 42, 16, 48, 21, 53, 17, 49)(12, 44, 15, 47, 22, 54, 19, 51)(18, 50, 25, 57, 28, 60, 24, 56)(20, 52, 27, 59, 29, 61, 23, 55)(26, 58, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 83, 115, 91, 123, 95, 127, 89, 121, 81, 113, 73, 105)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y1, Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 20, 52, 18, 50, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 77, 109, 68, 100, 75, 107, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 79, 111, 69, 101, 78, 110, 88, 120, 72, 104)(73, 105, 89, 121, 81, 113, 92, 124, 76, 108, 91, 123, 80, 112, 90, 122)(83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 95, 127, 86, 118, 94, 126)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 82)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 74)(19, 85)(20, 88)(21, 83)(22, 87)(23, 86)(24, 84)(25, 91)(26, 92)(27, 89)(28, 90)(29, 95)(30, 96)(31, 93)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y1^-1 * Y2^-1)^2, Y1^4, Y3 * Y2^-4, (Y2^-1 * Y3 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 10, 42)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 16, 48, 20, 52, 8, 40)(12, 44, 24, 56, 29, 61, 26, 58)(13, 45, 25, 57, 30, 62, 23, 55)(15, 47, 27, 59, 31, 63, 22, 54)(17, 49, 21, 53, 32, 64, 28, 60)(65, 97, 67, 99, 76, 108, 79, 111, 68, 100, 77, 109, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 87, 119, 73, 105, 86, 118, 88, 120, 74, 106)(69, 101, 80, 112, 92, 124, 89, 121, 78, 110, 91, 123, 90, 122, 75, 107)(71, 103, 82, 114, 93, 125, 95, 127, 83, 115, 94, 126, 96, 128, 84, 116)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 81)(13, 67)(14, 69)(15, 70)(16, 91)(17, 76)(18, 94)(19, 71)(20, 95)(21, 88)(22, 72)(23, 74)(24, 85)(25, 75)(26, 92)(27, 80)(28, 90)(29, 96)(30, 82)(31, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, (Y2 * Y1 * Y2)^2, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 25, 57, 17, 49, 13, 45)(10, 42, 27, 59, 18, 50, 16, 48)(12, 44, 26, 58, 21, 53, 28, 60)(29, 61, 32, 64, 31, 63, 30, 62)(65, 97, 67, 99, 76, 108, 88, 120, 71, 103, 86, 118, 85, 117, 70, 102)(66, 98, 72, 104, 90, 122, 82, 114, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 77, 109, 94, 126, 91, 123, 87, 119, 89, 121, 96, 128, 80, 112)(73, 105, 75, 107, 93, 125, 84, 116, 79, 111, 78, 110, 95, 127, 83, 115)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 75)(9, 66)(10, 83)(11, 72)(12, 94)(13, 67)(14, 81)(15, 69)(16, 70)(17, 78)(18, 84)(19, 74)(20, 82)(21, 96)(22, 89)(23, 71)(24, 91)(25, 86)(26, 93)(27, 88)(28, 95)(29, 90)(30, 76)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, (R * Y3)^2, (Y1 * Y2^-1)^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 8, 40)(6, 38, 13, 45, 12, 44, 7, 39)(10, 42, 16, 48, 19, 51, 17, 49)(14, 46, 15, 47, 20, 52, 21, 53)(18, 50, 25, 57, 27, 59, 24, 56)(22, 54, 29, 61, 28, 60, 23, 55)(26, 58, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 86, 118, 78, 110, 70, 102)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 83, 115, 91, 123, 96, 128, 92, 124, 84, 116, 76, 108)(69, 101, 77, 109, 85, 117, 93, 125, 95, 127, 89, 121, 81, 113, 73, 105)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 76)(7, 77)(8, 73)(9, 72)(10, 83)(11, 67)(12, 70)(13, 71)(14, 84)(15, 85)(16, 81)(17, 80)(18, 91)(19, 74)(20, 78)(21, 79)(22, 92)(23, 93)(24, 89)(25, 88)(26, 96)(27, 82)(28, 86)(29, 87)(30, 95)(31, 94)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^4, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^3 * Y1^-2 * Y2, (Y2 * Y1^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 13, 45, 17, 49, 26, 58)(10, 42, 16, 48, 18, 50, 27, 59)(12, 44, 25, 57, 21, 53, 28, 60)(29, 61, 30, 62, 31, 63, 32, 64)(65, 97, 67, 99, 76, 108, 88, 120, 71, 103, 86, 118, 85, 117, 70, 102)(66, 98, 72, 104, 89, 121, 82, 114, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 77, 109, 94, 126, 91, 123, 87, 119, 90, 122, 96, 128, 80, 112)(73, 105, 78, 110, 95, 127, 83, 115, 79, 111, 75, 107, 93, 125, 84, 116)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 78)(9, 66)(10, 84)(11, 81)(12, 94)(13, 67)(14, 72)(15, 69)(16, 70)(17, 75)(18, 83)(19, 82)(20, 74)(21, 96)(22, 90)(23, 71)(24, 91)(25, 95)(26, 86)(27, 88)(28, 93)(29, 92)(30, 76)(31, 89)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1)^2, Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^4, (Y1^-1 * Y3 * Y2^-1)^2, (Y2^-1 * Y3 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 10, 42)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 16, 48, 20, 52, 8, 40)(12, 44, 24, 56, 30, 62, 26, 58)(13, 45, 25, 57, 32, 64, 23, 55)(15, 47, 29, 61, 27, 59, 22, 54)(17, 49, 21, 53, 28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 91, 123, 83, 115, 96, 128, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 89, 121, 78, 110, 93, 125, 88, 120, 74, 106)(68, 100, 77, 109, 92, 124, 84, 116, 71, 103, 82, 114, 94, 126, 79, 111)(69, 101, 80, 112, 95, 127, 87, 119, 73, 105, 86, 118, 90, 122, 75, 107)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 92)(13, 67)(14, 69)(15, 70)(16, 93)(17, 94)(18, 96)(19, 71)(20, 91)(21, 90)(22, 72)(23, 74)(24, 95)(25, 75)(26, 85)(27, 84)(28, 76)(29, 80)(30, 81)(31, 88)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, Y3 * Y1 * Y3 * Y1^-1, Y1^4, (R * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 6, 38, 9, 41, 11, 43)(4, 36, 8, 40, 16, 48, 13, 45)(10, 42, 15, 47, 18, 50, 20, 52)(12, 44, 14, 46, 17, 49, 23, 55)(19, 51, 21, 53, 25, 57, 27, 59)(22, 54, 24, 56, 26, 58, 30, 62)(28, 60, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 69, 101, 75, 107, 71, 103, 73, 105, 66, 98, 70, 102)(68, 100, 76, 108, 77, 109, 87, 119, 80, 112, 81, 113, 72, 104, 78, 110)(74, 106, 83, 115, 84, 116, 91, 123, 82, 114, 89, 121, 79, 111, 85, 117)(86, 118, 92, 124, 94, 126, 96, 128, 90, 122, 95, 127, 88, 120, 93, 125)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 77)(6, 79)(7, 80)(8, 66)(9, 82)(10, 67)(11, 84)(12, 86)(13, 69)(14, 88)(15, 70)(16, 71)(17, 90)(18, 73)(19, 92)(20, 75)(21, 93)(22, 76)(23, 94)(24, 78)(25, 95)(26, 81)(27, 96)(28, 83)(29, 85)(30, 87)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.374
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, Y1^4, (R * Y1^-1)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 14, 46, 6, 38)(4, 36, 9, 41, 16, 48, 12, 44)(10, 42, 17, 49, 24, 56, 15, 47)(11, 43, 18, 50, 22, 54, 13, 45)(19, 51, 26, 58, 25, 57, 20, 52)(21, 53, 27, 59, 30, 62, 23, 55)(28, 60, 32, 64, 31, 63, 29, 61)(65, 97, 67, 99, 66, 98, 72, 104, 71, 103, 78, 110, 69, 101, 70, 102)(68, 100, 75, 107, 73, 105, 82, 114, 80, 112, 86, 118, 76, 108, 77, 109)(74, 106, 83, 115, 81, 113, 90, 122, 88, 120, 89, 121, 79, 111, 84, 116)(85, 117, 92, 124, 91, 123, 96, 128, 94, 126, 95, 127, 87, 119, 93, 125)
	L = (1, 68)(2, 73)(3, 74)(4, 65)(5, 76)(6, 79)(7, 80)(8, 81)(9, 66)(10, 67)(11, 85)(12, 69)(13, 87)(14, 88)(15, 70)(16, 71)(17, 72)(18, 91)(19, 92)(20, 93)(21, 75)(22, 94)(23, 77)(24, 78)(25, 95)(26, 96)(27, 82)(28, 83)(29, 84)(30, 86)(31, 89)(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, 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 E21.372
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2, R * Y2 * Y1 * R * Y2^-1, Y2^4 * Y1^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 20, 52, 13, 45)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 10, 42, 22, 54, 17, 49)(11, 43, 23, 55, 19, 51, 26, 58)(12, 44, 16, 48, 24, 56, 28, 60)(14, 46, 18, 50, 25, 57, 30, 62)(27, 59, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 77, 109, 90, 122, 74, 106)(68, 100, 78, 110, 91, 123, 92, 124, 85, 117, 89, 121, 95, 127, 80, 112)(73, 105, 82, 114, 93, 125, 76, 108, 79, 111, 94, 126, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 79)(6, 82)(7, 85)(8, 80)(9, 66)(10, 89)(11, 91)(12, 67)(13, 92)(14, 81)(15, 69)(16, 72)(17, 78)(18, 70)(19, 95)(20, 88)(21, 71)(22, 94)(23, 93)(24, 84)(25, 74)(26, 96)(27, 75)(28, 77)(29, 87)(30, 86)(31, 83)(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, 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 E21.371
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^4 * Y1^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 20, 52, 13, 45)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 10, 42, 22, 54, 17, 49)(11, 43, 23, 55, 19, 51, 26, 58)(12, 44, 24, 56, 29, 61, 16, 48)(14, 46, 25, 57, 31, 63, 18, 50)(27, 59, 32, 64, 30, 62, 28, 60)(65, 97, 67, 99, 75, 107, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 77, 109, 90, 122, 74, 106)(68, 100, 78, 110, 91, 123, 88, 120, 85, 117, 95, 127, 94, 126, 80, 112)(73, 105, 89, 121, 96, 128, 93, 125, 79, 111, 82, 114, 92, 124, 76, 108)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 66)(10, 78)(11, 91)(12, 67)(13, 80)(14, 74)(15, 69)(16, 77)(17, 95)(18, 70)(19, 94)(20, 93)(21, 71)(22, 89)(23, 96)(24, 72)(25, 86)(26, 92)(27, 75)(28, 90)(29, 84)(30, 83)(31, 81)(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, 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 E21.373
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y2^-2, Y1^-1 * Y2^-2 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y1^2 * Y2^-1 * Y3 * Y1, Y1^-1 * Y2^4 * Y1^-1, (R * Y2 * Y3)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2^-1 * R * Y1 * Y3 * R * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 14, 46)(4, 36, 9, 41, 19, 51, 12, 44)(6, 38, 17, 49, 20, 52, 13, 45)(8, 40, 21, 53, 16, 48, 23, 55)(10, 42, 24, 56, 15, 47, 22, 54)(25, 57, 29, 61, 28, 60, 32, 64)(26, 58, 30, 62, 27, 59, 31, 63)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 73, 105, 70, 102)(66, 98, 72, 104, 68, 100, 79, 111, 69, 101, 80, 112, 83, 115, 74, 106)(75, 107, 89, 121, 77, 109, 91, 123, 78, 110, 92, 124, 81, 113, 90, 122)(85, 117, 93, 125, 86, 118, 95, 127, 87, 119, 96, 128, 88, 120, 94, 126)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 76)(6, 75)(7, 83)(8, 86)(9, 66)(10, 85)(11, 70)(12, 69)(13, 67)(14, 84)(15, 87)(16, 88)(17, 82)(18, 81)(19, 71)(20, 78)(21, 74)(22, 72)(23, 79)(24, 80)(25, 95)(26, 93)(27, 96)(28, 94)(29, 90)(30, 92)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.369
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y1^4, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^3 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 13, 45)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 14, 46, 22, 54, 18, 50)(8, 40, 23, 55, 16, 48, 25, 57)(10, 42, 26, 58, 17, 49, 27, 59)(12, 44, 24, 56, 19, 51, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 88, 120, 81, 113, 69, 101, 80, 112, 92, 124, 74, 106)(68, 100, 78, 110, 93, 125, 75, 107, 85, 117, 82, 114, 94, 126, 77, 109)(73, 105, 90, 122, 95, 127, 87, 119, 79, 111, 91, 123, 96, 128, 89, 121)
	L = (1, 68)(2, 73)(3, 74)(4, 65)(5, 79)(6, 80)(7, 85)(8, 86)(9, 66)(10, 67)(11, 90)(12, 93)(13, 91)(14, 89)(15, 69)(16, 70)(17, 84)(18, 87)(19, 94)(20, 81)(21, 71)(22, 72)(23, 82)(24, 95)(25, 78)(26, 75)(27, 77)(28, 96)(29, 76)(30, 83)(31, 88)(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, 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 E21.368
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1 * Y3 * Y2, Y3 * Y2^-2 * Y1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, R * Y2 * Y1^-1 * R * Y2^-1 * Y3, Y2^-1 * R * Y3 * Y1^-1 * R * Y2^-1, Y2 * Y3 * Y1 * Y2 * Y1^-2, Y1 * Y3 * Y2^6, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y1^-1 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 12, 44, 20, 52, 17, 49)(8, 40, 21, 53, 15, 47, 23, 55)(10, 42, 22, 54, 16, 48, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 73, 105, 84, 116, 71, 103, 82, 114, 78, 110, 70, 102)(66, 98, 72, 104, 83, 115, 80, 112, 69, 101, 79, 111, 68, 100, 74, 106)(75, 107, 89, 121, 81, 113, 92, 124, 77, 109, 91, 123, 76, 108, 90, 122)(85, 117, 93, 125, 88, 120, 96, 128, 87, 119, 95, 127, 86, 118, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 77)(7, 83)(8, 86)(9, 66)(10, 87)(11, 84)(12, 67)(13, 70)(14, 69)(15, 88)(16, 85)(17, 82)(18, 81)(19, 71)(20, 75)(21, 80)(22, 72)(23, 74)(24, 79)(25, 94)(26, 95)(27, 96)(28, 93)(29, 92)(30, 89)(31, 90)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.370
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1 * Y1, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 14, 46)(4, 36, 9, 41, 21, 53, 16, 48)(6, 38, 18, 50, 22, 54, 15, 47)(8, 40, 23, 55, 17, 49, 25, 57)(10, 42, 27, 59, 13, 45, 26, 58)(12, 44, 24, 56, 19, 51, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 88, 120, 77, 109, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 79, 111, 94, 126, 78, 110, 85, 117, 82, 114, 93, 125, 75, 107)(73, 105, 90, 122, 96, 128, 89, 121, 80, 112, 91, 123, 95, 127, 87, 119)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 80)(6, 72)(7, 85)(8, 70)(9, 66)(10, 84)(11, 90)(12, 94)(13, 67)(14, 91)(15, 89)(16, 69)(17, 86)(18, 87)(19, 93)(20, 74)(21, 71)(22, 81)(23, 82)(24, 96)(25, 79)(26, 75)(27, 78)(28, 95)(29, 83)(30, 76)(31, 92)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.367
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3^4, Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 11, 43)(4, 36, 12, 44, 21, 53, 16, 48)(6, 38, 18, 50, 22, 54, 9, 41)(7, 39, 10, 42, 23, 55, 19, 51)(14, 46, 27, 59, 30, 62, 26, 58)(15, 47, 25, 57, 31, 63, 28, 60)(17, 49, 29, 61, 32, 64, 24, 56)(65, 97, 67, 99, 71, 103, 78, 110, 79, 111, 81, 113, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 88, 120, 89, 121, 90, 122, 74, 106, 75, 107)(69, 101, 82, 114, 80, 112, 93, 125, 92, 124, 91, 123, 83, 115, 77, 109)(72, 104, 84, 116, 87, 119, 94, 126, 95, 127, 96, 128, 85, 117, 86, 118)
	L = (1, 68)(2, 74)(3, 70)(4, 79)(5, 83)(6, 81)(7, 65)(8, 85)(9, 75)(10, 89)(11, 90)(12, 66)(13, 91)(14, 67)(15, 71)(16, 69)(17, 78)(18, 77)(19, 92)(20, 86)(21, 95)(22, 96)(23, 72)(24, 73)(25, 76)(26, 88)(27, 93)(28, 80)(29, 82)(30, 84)(31, 87)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y1 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^4, Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 11, 43)(4, 36, 12, 44, 21, 53, 16, 48)(6, 38, 17, 49, 22, 54, 9, 41)(7, 39, 10, 42, 23, 55, 18, 50)(14, 46, 27, 59, 30, 62, 26, 58)(15, 47, 25, 57, 31, 63, 28, 60)(19, 51, 29, 61, 32, 64, 24, 56)(65, 97, 67, 99, 68, 100, 78, 110, 79, 111, 83, 115, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 88, 120, 89, 121, 90, 122, 76, 108, 75, 107)(69, 101, 81, 113, 82, 114, 93, 125, 92, 124, 91, 123, 80, 112, 77, 109)(72, 104, 84, 116, 85, 117, 94, 126, 95, 127, 96, 128, 87, 119, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 79)(5, 82)(6, 67)(7, 65)(8, 85)(9, 88)(10, 89)(11, 73)(12, 66)(13, 81)(14, 83)(15, 71)(16, 69)(17, 93)(18, 92)(19, 70)(20, 94)(21, 95)(22, 84)(23, 72)(24, 90)(25, 76)(26, 75)(27, 77)(28, 80)(29, 91)(30, 96)(31, 87)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (Y3^-1, Y2), (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^4, Y1^4, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y3^-2 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 12, 44, 22, 54, 18, 50)(6, 38, 20, 52, 15, 47, 9, 41)(7, 39, 10, 42, 14, 46, 21, 53)(16, 48, 27, 59, 28, 60, 26, 58)(17, 49, 25, 57, 29, 61, 31, 63)(19, 51, 32, 64, 30, 62, 24, 56)(65, 97, 67, 99, 78, 110, 92, 124, 81, 113, 94, 126, 86, 118, 70, 102)(66, 98, 73, 105, 82, 114, 96, 128, 89, 121, 91, 123, 85, 117, 75, 107)(68, 100, 79, 111, 72, 104, 87, 119, 71, 103, 80, 112, 93, 125, 83, 115)(69, 101, 84, 116, 76, 108, 88, 120, 95, 127, 90, 122, 74, 106, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 85)(6, 83)(7, 65)(8, 86)(9, 77)(10, 89)(11, 90)(12, 66)(13, 91)(14, 72)(15, 94)(16, 67)(17, 71)(18, 69)(19, 92)(20, 75)(21, 95)(22, 93)(23, 70)(24, 73)(25, 76)(26, 96)(27, 88)(28, 87)(29, 78)(30, 80)(31, 82)(32, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2^-1)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y1^-1 * Y2^-1)^2, Y3^4, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 19, 51, 11, 43)(4, 36, 12, 44, 14, 46, 18, 50)(6, 38, 20, 52, 16, 48, 9, 41)(7, 39, 10, 42, 22, 54, 21, 53)(15, 47, 27, 59, 28, 60, 26, 58)(17, 49, 25, 57, 29, 61, 31, 63)(23, 55, 32, 64, 30, 62, 24, 56)(65, 97, 67, 99, 78, 110, 92, 124, 81, 113, 94, 126, 86, 118, 70, 102)(66, 98, 73, 105, 85, 117, 96, 128, 89, 121, 91, 123, 82, 114, 75, 107)(68, 100, 79, 111, 93, 125, 87, 119, 71, 103, 80, 112, 72, 104, 83, 115)(69, 101, 84, 116, 74, 106, 88, 120, 95, 127, 90, 122, 76, 108, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 85)(6, 83)(7, 65)(8, 78)(9, 88)(10, 89)(11, 84)(12, 66)(13, 73)(14, 93)(15, 94)(16, 67)(17, 71)(18, 69)(19, 92)(20, 96)(21, 95)(22, 72)(23, 70)(24, 91)(25, 76)(26, 75)(27, 77)(28, 87)(29, 86)(30, 80)(31, 82)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|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, (R * Y1)^2, Y1^4, Y1^-1 * Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^2 * Y1^-1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 24, 56, 16, 48, 20, 52)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 78, 110, 92, 124, 75, 107, 91, 123, 79, 111, 90, 122)(83, 115, 93, 125, 86, 118, 96, 128, 85, 117, 95, 127, 87, 119, 94, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|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, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^2 * Y1 * Y2^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 24, 56, 29, 61, 27, 59)(16, 48, 20, 52, 30, 62, 26, 58)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 83, 115, 95, 127, 86, 118, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 75, 107, 92, 124, 79, 111, 88, 120, 72, 104)(68, 100, 76, 108, 90, 122, 73, 105, 89, 121, 78, 110, 91, 123, 77, 109)(70, 102, 81, 113, 93, 125, 85, 117, 96, 128, 87, 119, 94, 126, 82, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y3, Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 24, 56, 18, 50, 20, 52)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 74, 106, 77, 109, 68, 100, 75, 107, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 79, 111, 69, 101, 78, 110, 88, 120, 72, 104)(73, 105, 89, 121, 80, 112, 92, 124, 76, 108, 91, 123, 81, 113, 90, 122)(83, 115, 93, 125, 86, 118, 96, 128, 85, 117, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 82)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 74)(19, 85)(20, 88)(21, 83)(22, 87)(23, 86)(24, 84)(25, 91)(26, 92)(27, 89)(28, 90)(29, 95)(30, 96)(31, 93)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^4 * Y3, Y1 * Y3 * Y2 * Y1 * Y2, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 16, 48, 17, 49, 26, 58)(10, 42, 13, 45, 18, 50, 27, 59)(12, 44, 28, 60, 31, 63, 30, 62)(21, 53, 25, 57, 32, 64, 29, 61)(65, 97, 67, 99, 76, 108, 80, 112, 68, 100, 77, 109, 85, 117, 70, 102)(66, 98, 72, 104, 89, 121, 78, 110, 73, 105, 84, 116, 92, 124, 74, 106)(69, 101, 81, 113, 93, 125, 75, 107, 79, 111, 83, 115, 94, 126, 82, 114)(71, 103, 86, 118, 95, 127, 90, 122, 87, 119, 91, 123, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 84)(9, 66)(10, 78)(11, 82)(12, 85)(13, 67)(14, 74)(15, 69)(16, 70)(17, 83)(18, 75)(19, 81)(20, 72)(21, 76)(22, 91)(23, 71)(24, 90)(25, 92)(26, 88)(27, 86)(28, 89)(29, 94)(30, 93)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2, Y1 * Y3 * Y2 * Y1^-1 * Y2, Y2^4 * Y1^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 25, 57, 17, 49, 16, 48)(10, 42, 27, 59, 18, 50, 13, 45)(12, 44, 28, 60, 21, 53, 26, 58)(29, 61, 32, 64, 31, 63, 30, 62)(65, 97, 67, 99, 76, 108, 88, 120, 71, 103, 86, 118, 85, 117, 70, 102)(66, 98, 72, 104, 90, 122, 82, 114, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 77, 109, 94, 126, 89, 121, 87, 119, 91, 123, 96, 128, 80, 112)(73, 105, 83, 115, 95, 127, 78, 110, 79, 111, 84, 116, 93, 125, 75, 107)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 83)(9, 66)(10, 75)(11, 74)(12, 94)(13, 67)(14, 82)(15, 69)(16, 70)(17, 84)(18, 78)(19, 72)(20, 81)(21, 96)(22, 91)(23, 71)(24, 89)(25, 88)(26, 95)(27, 86)(28, 93)(29, 92)(30, 76)(31, 90)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^4, (R * Y1)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y3 * Y2, Y1^2 * Y2 * Y1^2 * Y2^-1, Y1 * Y2 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 25, 57, 17, 49, 16, 48)(10, 42, 27, 59, 18, 50, 13, 45)(12, 44, 28, 60, 32, 64, 31, 63)(21, 53, 26, 58, 30, 62, 29, 61)(65, 97, 67, 99, 76, 108, 89, 121, 87, 119, 91, 123, 85, 117, 70, 102)(66, 98, 72, 104, 90, 122, 78, 110, 79, 111, 84, 116, 92, 124, 74, 106)(68, 100, 77, 109, 94, 126, 88, 120, 71, 103, 86, 118, 96, 128, 80, 112)(69, 101, 81, 113, 93, 125, 75, 107, 73, 105, 83, 115, 95, 127, 82, 114)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 83)(9, 66)(10, 75)(11, 74)(12, 94)(13, 67)(14, 82)(15, 69)(16, 70)(17, 84)(18, 78)(19, 72)(20, 81)(21, 96)(22, 91)(23, 71)(24, 89)(25, 88)(26, 95)(27, 86)(28, 93)(29, 92)(30, 76)(31, 90)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y2)^2, Y1^4, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, Y2 * Y1 * Y2 * Y3 * Y1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1^-2 * Y2^2, Y1 * Y2^2 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 16, 48, 17, 49, 26, 58)(10, 42, 13, 45, 18, 50, 27, 59)(12, 44, 28, 60, 21, 53, 25, 57)(29, 61, 30, 62, 31, 63, 32, 64)(65, 97, 67, 99, 76, 108, 88, 120, 71, 103, 86, 118, 85, 117, 70, 102)(66, 98, 72, 104, 89, 121, 82, 114, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 77, 109, 94, 126, 90, 122, 87, 119, 91, 123, 96, 128, 80, 112)(73, 105, 84, 116, 93, 125, 75, 107, 79, 111, 83, 115, 95, 127, 78, 110)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 84)(9, 66)(10, 78)(11, 82)(12, 94)(13, 67)(14, 74)(15, 69)(16, 70)(17, 83)(18, 75)(19, 81)(20, 72)(21, 96)(22, 91)(23, 71)(24, 90)(25, 93)(26, 88)(27, 86)(28, 95)(29, 89)(30, 76)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-3, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 24, 56, 27, 59, 28, 60)(18, 50, 20, 52, 30, 62, 26, 58)(25, 57, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 74, 106, 83, 115, 95, 127, 86, 118, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 76, 108, 93, 125, 81, 113, 88, 120, 72, 104)(68, 100, 75, 107, 91, 123, 85, 117, 96, 128, 87, 119, 94, 126, 77, 109)(69, 101, 78, 110, 90, 122, 73, 105, 89, 121, 80, 112, 92, 124, 79, 111)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 91)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 94)(19, 85)(20, 90)(21, 83)(22, 87)(23, 86)(24, 92)(25, 93)(26, 84)(27, 74)(28, 88)(29, 89)(30, 82)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3^-2 * Y1^2, Y3^4, Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1^-2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 16, 48, 14, 46)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 19, 51, 15, 47, 20, 52)(9, 41, 21, 53, 17, 49, 22, 54)(11, 43, 23, 55, 18, 50, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 71, 103, 79, 111, 72, 104, 80, 112, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 82, 114, 69, 101, 81, 113, 74, 106, 75, 107)(77, 109, 89, 121, 83, 115, 92, 124, 78, 110, 91, 123, 84, 116, 90, 122)(85, 117, 93, 125, 87, 119, 96, 128, 86, 118, 95, 127, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 70)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 75)(10, 69)(11, 81)(12, 66)(13, 84)(14, 83)(15, 67)(16, 79)(17, 82)(18, 73)(19, 77)(20, 78)(21, 88)(22, 87)(23, 85)(24, 86)(25, 90)(26, 91)(27, 92)(28, 89)(29, 94)(30, 95)(31, 96)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1, Y3^4, Y1^4, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 14, 46)(4, 36, 12, 44, 25, 57, 17, 49)(6, 38, 22, 54, 26, 58, 23, 55)(7, 39, 10, 42, 27, 59, 20, 52)(9, 41, 15, 47, 19, 51, 28, 60)(11, 43, 18, 50, 21, 53, 30, 62)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 71, 103, 79, 111, 80, 112, 82, 114, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 78, 110, 93, 125, 87, 119, 74, 106, 75, 107)(69, 101, 83, 115, 81, 113, 77, 109, 95, 127, 86, 118, 84, 116, 85, 117)(72, 104, 88, 120, 91, 123, 92, 124, 96, 128, 94, 126, 89, 121, 90, 122)
	L = (1, 68)(2, 74)(3, 70)(4, 80)(5, 84)(6, 82)(7, 65)(8, 89)(9, 75)(10, 93)(11, 87)(12, 66)(13, 83)(14, 73)(15, 67)(16, 71)(17, 69)(18, 79)(19, 85)(20, 95)(21, 86)(22, 77)(23, 78)(24, 90)(25, 96)(26, 94)(27, 72)(28, 88)(29, 76)(30, 92)(31, 81)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^2 * Y1^2, Y3 * Y1^-2 * Y3, Y3 * Y1^-1 * Y3 * Y1, Y1^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y2)^2, (R * Y1)^2, Y3^2 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 18, 50, 14, 46, 19, 51)(9, 41, 21, 53, 16, 48, 22, 54)(11, 43, 23, 55, 17, 49, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 68, 100, 78, 110, 72, 104, 84, 116, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 81, 113, 69, 101, 80, 112, 76, 108, 75, 107)(77, 109, 89, 121, 82, 114, 92, 124, 79, 111, 91, 123, 83, 115, 90, 122)(85, 117, 93, 125, 87, 119, 96, 128, 86, 118, 95, 127, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 67)(7, 65)(8, 71)(9, 81)(10, 69)(11, 73)(12, 66)(13, 82)(14, 84)(15, 83)(16, 75)(17, 80)(18, 79)(19, 77)(20, 70)(21, 87)(22, 88)(23, 86)(24, 85)(25, 92)(26, 89)(27, 90)(28, 91)(29, 96)(30, 93)(31, 94)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y1^-1 * Y3, Y1^4, (R * Y1)^2, Y3^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 15, 47)(4, 36, 12, 44, 25, 57, 17, 49)(6, 38, 21, 53, 26, 58, 22, 54)(7, 39, 10, 42, 27, 59, 19, 51)(9, 41, 14, 46, 18, 50, 28, 60)(11, 43, 23, 55, 20, 52, 30, 62)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 68, 100, 78, 110, 80, 112, 87, 119, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 79, 111, 93, 125, 86, 118, 76, 108, 75, 107)(69, 101, 82, 114, 83, 115, 77, 109, 95, 127, 85, 117, 81, 113, 84, 116)(72, 104, 88, 120, 89, 121, 92, 124, 96, 128, 94, 126, 91, 123, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 83)(6, 67)(7, 65)(8, 89)(9, 79)(10, 93)(11, 73)(12, 66)(13, 85)(14, 87)(15, 86)(16, 71)(17, 69)(18, 77)(19, 95)(20, 82)(21, 84)(22, 75)(23, 70)(24, 92)(25, 96)(26, 88)(27, 72)(28, 94)(29, 76)(30, 90)(31, 81)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y2)^2, Y1^4, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y2^-4 * Y1^2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y3^4 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 16, 48)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 21, 53, 26, 58, 22, 54)(9, 41, 17, 49, 19, 51, 15, 47)(11, 43, 18, 50, 20, 52, 24, 56)(14, 46, 28, 60, 23, 55, 27, 59)(29, 61, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 90, 122, 72, 104, 89, 121, 87, 119, 70, 102)(66, 98, 73, 105, 91, 123, 84, 116, 69, 101, 83, 115, 92, 124, 75, 107)(68, 100, 79, 111, 94, 126, 88, 120, 71, 103, 81, 113, 95, 127, 82, 114)(74, 106, 77, 109, 93, 125, 85, 117, 76, 108, 80, 112, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 77)(10, 69)(11, 86)(12, 66)(13, 83)(14, 94)(15, 89)(16, 73)(17, 67)(18, 90)(19, 80)(20, 85)(21, 75)(22, 84)(23, 95)(24, 70)(25, 81)(26, 88)(27, 93)(28, 96)(29, 92)(30, 87)(31, 78)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^4, Y1^4, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^2 * Y3^-1 * Y1^-2, Y1^-2 * Y2^-1 * Y3 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 16, 48)(4, 36, 12, 44, 14, 46, 19, 51)(6, 38, 24, 56, 17, 49, 25, 57)(7, 39, 10, 42, 26, 58, 22, 54)(9, 41, 28, 60, 21, 53, 15, 47)(11, 43, 30, 62, 23, 55, 27, 59)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 92, 124, 82, 114, 94, 126, 90, 122, 70, 102)(66, 98, 73, 105, 86, 118, 80, 112, 93, 125, 89, 121, 83, 115, 75, 107)(68, 100, 79, 111, 96, 128, 91, 123, 71, 103, 81, 113, 72, 104, 84, 116)(69, 101, 85, 117, 74, 106, 77, 109, 95, 127, 88, 120, 76, 108, 87, 119)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 86)(6, 84)(7, 65)(8, 78)(9, 77)(10, 93)(11, 85)(12, 66)(13, 89)(14, 96)(15, 94)(16, 88)(17, 67)(18, 71)(19, 69)(20, 92)(21, 80)(22, 95)(23, 73)(24, 75)(25, 87)(26, 72)(27, 70)(28, 91)(29, 76)(30, 81)(31, 83)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y3^2 * Y1^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (Y2, Y3^-1), Y1^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y2^-2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 16, 48)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 21, 53, 26, 58, 22, 54)(9, 41, 15, 47, 19, 51, 17, 49)(11, 43, 24, 56, 20, 52, 18, 50)(14, 46, 28, 60, 23, 55, 27, 59)(29, 61, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 90, 122, 72, 104, 89, 121, 87, 119, 70, 102)(66, 98, 73, 105, 91, 123, 84, 116, 69, 101, 83, 115, 92, 124, 75, 107)(68, 100, 79, 111, 94, 126, 88, 120, 71, 103, 81, 113, 95, 127, 82, 114)(74, 106, 80, 112, 96, 128, 86, 118, 76, 108, 77, 109, 93, 125, 85, 117)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 80)(10, 69)(11, 85)(12, 66)(13, 73)(14, 94)(15, 89)(16, 83)(17, 67)(18, 90)(19, 77)(20, 86)(21, 84)(22, 75)(23, 95)(24, 70)(25, 81)(26, 88)(27, 96)(28, 93)(29, 91)(30, 87)(31, 78)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^4, Y2 * Y1 * Y3^-1 * Y1 * Y2, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2^2 * Y1^-1, Y3 * Y2 * Y1^2 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 27, 59, 16, 48)(4, 36, 12, 44, 26, 58, 19, 51)(6, 38, 24, 56, 15, 47, 25, 57)(7, 39, 10, 42, 14, 46, 22, 54)(9, 41, 28, 60, 21, 53, 17, 49)(11, 43, 30, 62, 23, 55, 20, 52)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 92, 124, 82, 114, 94, 126, 90, 122, 70, 102)(66, 98, 73, 105, 83, 115, 80, 112, 93, 125, 89, 121, 86, 118, 75, 107)(68, 100, 79, 111, 72, 104, 91, 123, 71, 103, 81, 113, 96, 128, 84, 116)(69, 101, 85, 117, 76, 108, 77, 109, 95, 127, 88, 120, 74, 106, 87, 119)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 86)(6, 84)(7, 65)(8, 90)(9, 87)(10, 93)(11, 88)(12, 66)(13, 73)(14, 72)(15, 94)(16, 85)(17, 67)(18, 71)(19, 69)(20, 92)(21, 75)(22, 95)(23, 89)(24, 80)(25, 77)(26, 96)(27, 70)(28, 91)(29, 76)(30, 81)(31, 83)(32, 78)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y1^3 * Y3^-1 * Y1^-1 * Y3^-1, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 26, 58, 15, 47, 5, 37)(3, 35, 9, 41, 17, 49, 8, 40, 21, 53, 29, 61, 27, 59, 11, 43)(4, 36, 12, 44, 18, 50, 31, 63, 24, 56, 14, 46, 20, 52, 7, 39)(10, 42, 19, 51, 30, 62, 23, 55, 13, 45, 22, 54, 32, 64, 25, 57)(65, 97, 67, 99, 74, 106, 88, 120, 92, 124, 85, 117, 77, 109, 68, 100)(66, 98, 71, 103, 83, 115, 75, 107, 90, 122, 95, 127, 86, 118, 72, 104)(69, 101, 78, 110, 89, 121, 93, 125, 80, 112, 76, 108, 87, 119, 73, 105)(70, 102, 81, 113, 94, 126, 84, 116, 79, 111, 91, 123, 96, 128, 82, 114)
	L = (1, 68)(2, 72)(3, 65)(4, 77)(5, 73)(6, 82)(7, 66)(8, 86)(9, 87)(10, 67)(11, 83)(12, 80)(13, 85)(14, 69)(15, 84)(16, 93)(17, 70)(18, 96)(19, 71)(20, 94)(21, 92)(22, 95)(23, 76)(24, 74)(25, 78)(26, 75)(27, 79)(28, 88)(29, 89)(30, 81)(31, 90)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.358
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1)^2, Y3 * Y2^-1 * Y1^-2, Y2 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, Y3 * Y2^-1 * Y1^6, Y3^-2 * Y1^-2 * Y3^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 29, 61, 28, 60, 16, 48, 5, 37)(3, 35, 12, 44, 4, 36, 11, 43, 20, 52, 31, 63, 27, 59, 15, 47)(6, 38, 10, 42, 21, 53, 30, 62, 25, 57, 18, 50, 7, 39, 9, 41)(13, 45, 22, 54, 14, 46, 23, 55, 17, 49, 24, 56, 32, 64, 26, 58)(65, 97, 67, 99, 77, 109, 89, 121, 93, 125, 84, 116, 81, 113, 70, 102)(66, 98, 73, 105, 86, 118, 79, 111, 92, 124, 94, 126, 88, 120, 75, 107)(68, 100, 78, 110, 71, 103, 80, 112, 91, 123, 96, 128, 85, 117, 72, 104)(69, 101, 82, 114, 90, 122, 95, 127, 83, 115, 74, 106, 87, 119, 76, 108)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 73)(6, 72)(7, 65)(8, 84)(9, 87)(10, 88)(11, 83)(12, 66)(13, 71)(14, 70)(15, 69)(16, 67)(17, 85)(18, 86)(19, 94)(20, 96)(21, 93)(22, 76)(23, 75)(24, 95)(25, 80)(26, 79)(27, 77)(28, 82)(29, 91)(30, 90)(31, 92)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.357
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.397 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^2, Y2 * Y1^-2 * Y2, Y2^4, Y1^4, Y3^-1 * Y2^-1 * Y1 * Y3^-3, Y3^2 * Y1 * Y3^2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 14, 46, 28, 60, 12, 44, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 20, 52, 31, 63, 23, 55, 30, 62)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 88, 80, 85)(89, 95, 91, 93)(90, 94, 92, 96)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 117, 112, 120)(121, 125, 123, 127)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.408
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.398 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1^3, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3^-3, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y2^-2 * 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, 33, 3, 35, 10, 42, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 13, 45, 4, 36, 12, 44, 24, 56, 8, 40)(9, 41, 25, 57, 14, 46, 28, 60, 11, 43, 27, 59, 15, 47, 26, 58)(19, 51, 29, 61, 22, 54, 32, 64, 21, 53, 31, 63, 23, 55, 30, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 80, 84)(89, 95, 91, 93)(90, 94, 92, 96)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 120, 112, 116)(121, 127, 123, 125)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.409
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.399 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, (Y1, Y2^-1), Y2^4, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y3^-1)^2, (Y1^-1 * Y3^-1)^2, Y1^4, Y3^-2 * Y2^-1 * Y1 * Y2^-2, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1^2 * Y3 * Y1^-1, Y2^2 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 27, 59, 32, 64, 30, 62, 21, 53, 7, 39)(2, 34, 10, 42, 22, 54, 19, 51, 31, 63, 18, 50, 6, 38, 12, 44)(3, 35, 14, 46, 26, 58, 20, 52, 24, 56, 17, 49, 5, 37, 16, 48)(8, 40, 23, 55, 15, 47, 29, 61, 13, 45, 28, 60, 11, 43, 25, 57)(65, 66, 72, 69)(67, 73, 86, 79)(68, 81, 92, 83)(70, 75, 88, 85)(71, 84, 93, 74)(76, 94, 78, 87)(77, 90, 96, 95)(80, 89, 82, 91)(97, 99, 109, 102)(98, 105, 122, 107)(100, 114, 119, 116)(101, 111, 127, 117)(103, 115, 121, 110)(104, 118, 128, 120)(106, 124, 112, 126)(108, 125, 113, 123)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.410
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.400 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y2, Y1^-1), Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2^4, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2^-1)^2, Y3^-1 * Y2^-2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3 * Y2^-2 * Y1, Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 19, 51, 28, 60, 32, 64, 27, 59, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 21, 53, 31, 63, 18, 50, 22, 54, 12, 44)(3, 35, 14, 46, 5, 37, 20, 52, 24, 56, 17, 49, 26, 58, 16, 48)(8, 40, 23, 55, 11, 43, 30, 62, 13, 45, 29, 61, 15, 47, 25, 57)(65, 66, 72, 69)(67, 73, 86, 79)(68, 81, 93, 76)(70, 75, 88, 83)(71, 84, 94, 82)(74, 92, 80, 89)(77, 90, 96, 95)(78, 87, 85, 91)(97, 99, 109, 102)(98, 105, 122, 107)(100, 114, 119, 112)(101, 111, 127, 115)(103, 117, 121, 113)(104, 118, 128, 120)(106, 125, 116, 123)(108, 126, 110, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.411
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.401 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2 * Y1, Y2 * Y1, Y1^-1 * Y2^-1, Y2^4, (Y2^-1 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y2 * Y3^4 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 10, 42, 3, 35, 9, 41, 24, 56, 8, 40)(11, 43, 25, 57, 15, 47, 28, 60, 12, 44, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 20, 52, 31, 63, 22, 54, 30, 62)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 85, 80, 88)(89, 95, 91, 93)(90, 96, 92, 94)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 120, 112, 117)(121, 125, 123, 127)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.412
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.402 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x QD16) : C2 (small group id <64, 152>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y2^-1, Y2 * Y3^2 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1, Y1^-2 * Y2^2, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y2, Y2^4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-2 * Y2^-2, Y2^-2 * Y3 * Y2^-2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 20, 52, 8, 40, 19, 51, 11, 43, 7, 39)(2, 34, 10, 42, 6, 38, 18, 50, 5, 37, 13, 45, 3, 35, 12, 44)(14, 46, 25, 57, 17, 49, 28, 60, 16, 48, 27, 59, 15, 47, 26, 58)(21, 53, 29, 61, 24, 56, 32, 64, 23, 55, 31, 63, 22, 54, 30, 62)(65, 66, 72, 69)(67, 75, 70, 73)(68, 78, 83, 80)(71, 81, 84, 79)(74, 85, 77, 87)(76, 88, 82, 86)(89, 95, 91, 93)(90, 94, 92, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 111, 115, 113)(103, 110, 116, 112)(106, 118, 109, 120)(108, 117, 114, 119)(121, 128, 123, 126)(122, 127, 124, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.413
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.403 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x QD16) : C2 (small group id <64, 152>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2 * Y1, Y3^-2 * Y1 * Y2^-1, Y1^-2 * Y2^2, (R * Y3)^2, Y2^2 * Y1^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^4, Y2 * Y3^-2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 20, 52, 8, 40, 19, 51, 9, 41, 7, 39)(2, 34, 10, 42, 3, 35, 13, 45, 5, 37, 18, 50, 6, 38, 12, 44)(14, 46, 25, 57, 15, 47, 27, 59, 16, 48, 28, 60, 17, 49, 26, 58)(21, 53, 29, 61, 22, 54, 31, 63, 23, 55, 32, 64, 24, 56, 30, 62)(65, 66, 72, 69)(67, 75, 70, 73)(68, 78, 83, 80)(71, 79, 84, 81)(74, 85, 82, 87)(76, 86, 77, 88)(89, 96, 92, 93)(90, 94, 91, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 111, 115, 113)(103, 112, 116, 110)(106, 118, 114, 120)(108, 119, 109, 117)(121, 126, 124, 127)(122, 125, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.414
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.404 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 94>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^2 * Y1^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1^4, Y3 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^2 * Y1^-3, Y3^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^8, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 17, 49, 11, 43)(6, 38, 18, 50, 9, 41, 19, 51)(12, 44, 25, 57, 15, 47, 26, 58)(13, 45, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(21, 53, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 78, 86, 73, 67)(68, 76, 83, 80, 69, 79, 82, 77)(71, 84, 74, 88, 72, 87, 75, 85)(89, 94, 91, 96, 90, 93, 92, 95)(97, 99, 105, 118, 110, 113, 102, 98)(100, 109, 114, 111, 101, 112, 115, 108)(103, 117, 107, 119, 104, 120, 106, 116)(121, 127, 124, 125, 122, 128, 123, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.415
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.405 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 94>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), Y1^-2 * Y2 * Y1^-1, Y2^-2 * Y1^-2, (Y2^-1 * Y1^-1)^2, Y3^2 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2, R * Y1 * R * Y2, (Y2^-1, Y1), (R * Y3)^2, Y1 * Y3^2 * Y2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2 * Y3^-1 * Y1^-2 * Y3, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 67, 73, 70, 75, 69)(68, 79, 84, 80, 71, 82, 83, 81)(74, 85, 78, 86, 76, 88, 77, 87)(89, 94, 92, 95, 90, 93, 91, 96)(97, 99, 107, 98, 105, 101, 104, 102)(100, 112, 115, 111, 103, 113, 116, 114)(106, 118, 109, 117, 108, 119, 110, 120)(121, 127, 123, 126, 122, 128, 124, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.416
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.406 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 21, 53, 8, 40)(4, 36, 12, 44, 17, 49, 14, 46)(6, 38, 18, 50, 13, 45, 19, 51)(9, 41, 25, 57, 15, 47, 26, 58)(11, 43, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 74, 85, 77, 68)(67, 73, 83, 80, 69, 79, 82, 75)(71, 84, 76, 88, 72, 87, 78, 86)(89, 94, 91, 96, 90, 93, 92, 95)(97, 98, 102, 113, 106, 117, 109, 100)(99, 105, 115, 112, 101, 111, 114, 107)(103, 116, 108, 120, 104, 119, 110, 118)(121, 126, 123, 128, 122, 125, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.417
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.407 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 137>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, Y1 * Y2 * Y1^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y3)^2, Y2 * Y1 * Y2^2, Y2^2 * Y1^-2, Y2 * Y1^-1 * Y3^2, (Y2^-1, Y1), R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 70, 75, 67, 73, 69)(68, 77, 84, 80, 71, 78, 83, 79)(74, 85, 81, 88, 76, 86, 82, 87)(89, 94, 91, 96, 90, 93, 92, 95)(97, 99, 104, 101, 107, 98, 105, 102)(100, 110, 116, 111, 103, 109, 115, 112)(106, 118, 113, 119, 108, 117, 114, 120)(121, 125, 123, 127, 122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.418
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.408 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^2, Y2 * Y1^-2 * Y2, Y2^4, Y1^4, Y3^-1 * Y2^-1 * Y1 * Y3^-3, Y3^2 * Y1 * Y3^2 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 14, 46, 78, 110, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 22, 54, 86, 118, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 23, 55, 87, 119, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 56)(14, 50)(15, 37)(16, 53)(17, 44)(18, 47)(19, 41)(20, 39)(21, 45)(22, 42)(23, 40)(24, 48)(25, 63)(26, 62)(27, 61)(28, 64)(29, 57)(30, 60)(31, 59)(32, 58)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 117)(78, 101)(79, 114)(80, 120)(81, 107)(82, 110)(83, 103)(84, 105)(85, 112)(86, 104)(87, 106)(88, 109)(89, 125)(90, 128)(91, 127)(92, 126)(93, 123)(94, 122)(95, 121)(96, 124)
	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 E21.397
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.409 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1^3, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3^-3, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y2^-2 * 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, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 13, 45, 77, 109, 4, 36, 68, 100, 12, 44, 76, 108, 24, 56, 88, 120, 8, 40, 72, 104)(9, 41, 73, 105, 25, 57, 89, 121, 14, 46, 78, 110, 28, 60, 92, 124, 11, 43, 75, 107, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 22, 54, 86, 118, 32, 64, 96, 128, 21, 53, 85, 117, 31, 63, 95, 127, 23, 55, 87, 119, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 56)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 52)(17, 43)(18, 47)(19, 44)(20, 42)(21, 39)(22, 45)(23, 40)(24, 48)(25, 63)(26, 62)(27, 61)(28, 64)(29, 57)(30, 60)(31, 59)(32, 58)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 115)(72, 118)(73, 113)(74, 120)(75, 99)(76, 117)(77, 119)(78, 114)(79, 101)(80, 116)(81, 107)(82, 111)(83, 108)(84, 106)(85, 103)(86, 109)(87, 104)(88, 112)(89, 127)(90, 126)(91, 125)(92, 128)(93, 121)(94, 124)(95, 123)(96, 122)
	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 E21.398
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.410 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^2, (Y1, Y2^-1), Y2^4, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y3^-1)^2, (Y1^-1 * Y3^-1)^2, Y1^4, Y3^-2 * Y2^-1 * Y1 * Y2^-2, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1^2 * Y3 * Y1^-1, Y2^2 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 27, 59, 91, 123, 32, 64, 96, 128, 30, 62, 94, 126, 21, 53, 85, 117, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 22, 54, 86, 118, 19, 51, 83, 115, 31, 63, 95, 127, 18, 50, 82, 114, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 26, 58, 90, 122, 20, 52, 84, 116, 24, 56, 88, 120, 17, 49, 81, 113, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 29, 61, 93, 125, 13, 45, 77, 109, 28, 60, 92, 124, 11, 43, 75, 107, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 37)(9, 54)(10, 39)(11, 56)(12, 62)(13, 58)(14, 55)(15, 35)(16, 57)(17, 60)(18, 59)(19, 36)(20, 61)(21, 38)(22, 47)(23, 44)(24, 53)(25, 50)(26, 64)(27, 48)(28, 51)(29, 42)(30, 46)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 115)(72, 118)(73, 122)(74, 124)(75, 98)(76, 125)(77, 102)(78, 103)(79, 127)(80, 126)(81, 123)(82, 119)(83, 121)(84, 100)(85, 101)(86, 128)(87, 116)(88, 104)(89, 110)(90, 107)(91, 108)(92, 112)(93, 113)(94, 106)(95, 117)(96, 120)
	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 E21.399
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.411 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y2, Y1^-1), Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2^4, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2^-1)^2, Y3^-1 * Y2^-2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3 * Y2^-2 * Y1, Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 19, 51, 83, 115, 28, 60, 92, 124, 32, 64, 96, 128, 27, 59, 91, 123, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 21, 53, 85, 117, 31, 63, 95, 127, 18, 50, 82, 114, 22, 54, 86, 118, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 20, 52, 84, 116, 24, 56, 88, 120, 17, 49, 81, 113, 26, 58, 90, 122, 16, 48, 80, 112)(8, 40, 72, 104, 23, 55, 87, 119, 11, 43, 75, 107, 30, 62, 94, 126, 13, 45, 77, 109, 29, 61, 93, 125, 15, 47, 79, 111, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 41)(4, 49)(5, 33)(6, 43)(7, 52)(8, 37)(9, 54)(10, 60)(11, 56)(12, 36)(13, 58)(14, 55)(15, 35)(16, 57)(17, 61)(18, 39)(19, 38)(20, 62)(21, 59)(22, 47)(23, 53)(24, 51)(25, 42)(26, 64)(27, 46)(28, 48)(29, 44)(30, 50)(31, 45)(32, 63)(65, 99)(66, 105)(67, 109)(68, 114)(69, 111)(70, 97)(71, 117)(72, 118)(73, 122)(74, 125)(75, 98)(76, 126)(77, 102)(78, 124)(79, 127)(80, 100)(81, 103)(82, 119)(83, 101)(84, 123)(85, 121)(86, 128)(87, 112)(88, 104)(89, 113)(90, 107)(91, 106)(92, 108)(93, 116)(94, 110)(95, 115)(96, 120)
	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 E21.400
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.412 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2 * Y1, Y2 * Y1, Y1^-1 * Y2^-1, Y2^4, (Y2^-1 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y2 * Y3^4 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 10, 42, 74, 106, 3, 35, 67, 99, 9, 41, 73, 105, 24, 56, 88, 120, 8, 40, 72, 104)(11, 43, 75, 107, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 12, 44, 76, 108, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 53)(14, 50)(15, 37)(16, 56)(17, 44)(18, 47)(19, 41)(20, 39)(21, 48)(22, 42)(23, 40)(24, 45)(25, 63)(26, 64)(27, 61)(28, 62)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 120)(78, 101)(79, 114)(80, 117)(81, 107)(82, 110)(83, 103)(84, 105)(85, 109)(86, 104)(87, 106)(88, 112)(89, 125)(90, 126)(91, 127)(92, 128)(93, 123)(94, 124)(95, 121)(96, 122)
	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 E21.401
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.413 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x QD16) : C2 (small group id <64, 152>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y2^-1, Y2 * Y3^2 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1, Y1^-2 * Y2^2, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y2, Y2^4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-2 * Y2^-2, Y2^-2 * Y3 * Y2^-2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 20, 52, 84, 116, 8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 18, 50, 82, 114, 5, 37, 69, 101, 13, 45, 77, 109, 3, 35, 67, 99, 12, 44, 76, 108)(14, 46, 78, 110, 25, 57, 89, 121, 17, 49, 81, 113, 28, 60, 92, 124, 16, 48, 80, 112, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 32, 64, 96, 128, 23, 55, 87, 119, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 43)(4, 46)(5, 33)(6, 41)(7, 49)(8, 37)(9, 35)(10, 53)(11, 38)(12, 56)(13, 55)(14, 51)(15, 39)(16, 36)(17, 52)(18, 54)(19, 48)(20, 47)(21, 45)(22, 44)(23, 42)(24, 50)(25, 63)(26, 62)(27, 61)(28, 64)(29, 57)(30, 60)(31, 59)(32, 58)(65, 99)(66, 105)(67, 104)(68, 111)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 120)(78, 116)(79, 115)(80, 103)(81, 100)(82, 119)(83, 113)(84, 112)(85, 114)(86, 109)(87, 108)(88, 106)(89, 128)(90, 127)(91, 126)(92, 125)(93, 122)(94, 121)(95, 124)(96, 123)
	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 E21.402
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.414 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x QD16) : C2 (small group id <64, 152>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2 * Y1, Y3^-2 * Y1 * Y2^-1, Y1^-2 * Y2^2, (R * Y3)^2, Y2^2 * Y1^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^4, Y2 * Y3^-2 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 20, 52, 84, 116, 8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 18, 50, 82, 114, 6, 38, 70, 102, 12, 44, 76, 108)(14, 46, 78, 110, 25, 57, 89, 121, 15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113, 26, 58, 90, 122)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128, 24, 56, 88, 120, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 43)(4, 46)(5, 33)(6, 41)(7, 47)(8, 37)(9, 35)(10, 53)(11, 38)(12, 54)(13, 56)(14, 51)(15, 52)(16, 36)(17, 39)(18, 55)(19, 48)(20, 49)(21, 50)(22, 45)(23, 42)(24, 44)(25, 64)(26, 62)(27, 63)(28, 61)(29, 57)(30, 59)(31, 58)(32, 60)(65, 99)(66, 105)(67, 104)(68, 111)(69, 107)(70, 97)(71, 112)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 103)(79, 115)(80, 116)(81, 100)(82, 120)(83, 113)(84, 110)(85, 108)(86, 114)(87, 109)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 123)(94, 124)(95, 121)(96, 122)
	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 E21.403
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.415 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 94>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^2 * Y1^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1^4, Y3 * Y2^2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^2 * Y1^-3, Y3^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^8, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 17, 49, 81, 113, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 9, 41, 73, 105, 19, 51, 83, 115)(12, 44, 76, 108, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(13, 45, 77, 109, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 56)(11, 53)(12, 51)(13, 36)(14, 54)(15, 50)(16, 37)(17, 46)(18, 45)(19, 48)(20, 42)(21, 39)(22, 41)(23, 43)(24, 40)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 118)(74, 116)(75, 119)(76, 100)(77, 114)(78, 113)(79, 101)(80, 115)(81, 102)(82, 111)(83, 108)(84, 103)(85, 107)(86, 110)(87, 104)(88, 106)(89, 127)(90, 128)(91, 126)(92, 125)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.404
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.416 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 94>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), Y1^-2 * Y2 * Y1^-1, Y2^-2 * Y1^-2, (Y2^-1 * Y1^-1)^2, Y3^2 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2, R * Y1 * R * Y2, (Y2^-1, Y1), (R * Y3)^2, Y1 * Y3^2 * Y2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2 * Y3^-1 * Y1^-2 * Y3, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 35)(9, 38)(10, 53)(11, 37)(12, 56)(13, 55)(14, 54)(15, 52)(16, 39)(17, 36)(18, 51)(19, 49)(20, 48)(21, 46)(22, 44)(23, 42)(24, 45)(25, 62)(26, 61)(27, 64)(28, 63)(29, 59)(30, 60)(31, 58)(32, 57)(65, 99)(66, 105)(67, 107)(68, 112)(69, 104)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 120)(79, 103)(80, 115)(81, 116)(82, 100)(83, 111)(84, 114)(85, 108)(86, 109)(87, 110)(88, 106)(89, 127)(90, 128)(91, 126)(92, 125)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.405
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.417 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 17, 49, 81, 113, 14, 46, 78, 110)(6, 38, 70, 102, 18, 50, 82, 114, 13, 45, 77, 109, 19, 51, 83, 115)(9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(11, 43, 75, 107, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 49)(7, 52)(8, 55)(9, 51)(10, 53)(11, 35)(12, 56)(13, 36)(14, 54)(15, 50)(16, 37)(17, 42)(18, 43)(19, 48)(20, 44)(21, 45)(22, 39)(23, 46)(24, 40)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 57)(32, 58)(65, 98)(66, 102)(67, 105)(68, 97)(69, 111)(70, 113)(71, 116)(72, 119)(73, 115)(74, 117)(75, 99)(76, 120)(77, 100)(78, 118)(79, 114)(80, 101)(81, 106)(82, 107)(83, 112)(84, 108)(85, 109)(86, 103)(87, 110)(88, 104)(89, 126)(90, 125)(91, 128)(92, 127)(93, 124)(94, 123)(95, 121)(96, 122)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.406
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.418 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 137>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, Y1 * Y2 * Y1^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y3)^2, Y2 * Y1 * Y2^2, Y2^2 * Y1^-2, Y2 * Y1^-1 * Y3^2, (Y2^-1, Y1), R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 38)(9, 37)(10, 53)(11, 35)(12, 54)(13, 52)(14, 51)(15, 36)(16, 39)(17, 56)(18, 55)(19, 47)(20, 48)(21, 49)(22, 50)(23, 42)(24, 44)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 101)(73, 102)(74, 118)(75, 98)(76, 117)(77, 115)(78, 116)(79, 103)(80, 100)(81, 119)(82, 120)(83, 112)(84, 111)(85, 114)(86, 113)(87, 108)(88, 106)(89, 125)(90, 126)(91, 127)(92, 128)(93, 123)(94, 124)(95, 122)(96, 121)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.407
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-1, Y2^4, Y2 * Y1^2 * Y2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 14, 46, 13, 45, 15, 47)(7, 39, 19, 51, 16, 48, 20, 52)(10, 42, 21, 53, 17, 49, 22, 54)(12, 44, 23, 55, 18, 50, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 71, 103, 77, 109, 80, 112)(74, 106, 76, 108, 81, 113, 82, 114)(78, 110, 84, 116, 79, 111, 83, 115)(85, 117, 88, 120, 86, 118, 87, 119)(89, 121, 90, 122, 91, 123, 92, 124)(93, 125, 94, 126, 95, 127, 96, 128)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 81)(6, 80)(7, 65)(8, 77)(9, 76)(10, 75)(11, 82)(12, 66)(13, 67)(14, 89)(15, 91)(16, 72)(17, 73)(18, 69)(19, 92)(20, 90)(21, 93)(22, 95)(23, 96)(24, 94)(25, 83)(26, 78)(27, 84)(28, 79)(29, 87)(30, 85)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.430
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, Y1 * Y2^-1 * Y1 * Y2, Y2^4, Y1^4, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-2 * Y1, Y2 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 13, 45, 20, 52)(10, 42, 21, 53, 16, 48, 22, 54)(12, 44, 23, 55, 17, 49, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 82, 114, 71, 103)(74, 106, 81, 113, 80, 112, 76, 108)(78, 110, 83, 115, 79, 111, 84, 116)(85, 117, 87, 119, 86, 118, 88, 120)(89, 121, 92, 124, 91, 123, 90, 122)(93, 125, 96, 128, 95, 127, 94, 126)
	L = (1, 68)(2, 74)(3, 77)(4, 67)(5, 80)(6, 71)(7, 65)(8, 82)(9, 81)(10, 73)(11, 76)(12, 66)(13, 72)(14, 89)(15, 91)(16, 75)(17, 69)(18, 70)(19, 92)(20, 90)(21, 93)(22, 95)(23, 96)(24, 94)(25, 83)(26, 78)(27, 84)(28, 79)(29, 87)(30, 85)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.429
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|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, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-4 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 24, 56, 16, 48, 20, 52)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 78, 110, 92, 124, 75, 107, 91, 123, 79, 111, 90, 122)(83, 115, 93, 125, 86, 118, 96, 128, 85, 117, 95, 127, 87, 119, 94, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-4 * Y3, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1, Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 24, 56, 18, 50, 20, 52)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 77, 109, 68, 100, 75, 107, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 79, 111, 69, 101, 78, 110, 88, 120, 72, 104)(73, 105, 89, 121, 80, 112, 92, 124, 76, 108, 91, 123, 81, 113, 90, 122)(83, 115, 93, 125, 86, 118, 96, 128, 85, 117, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 82)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 74)(19, 85)(20, 88)(21, 83)(22, 87)(23, 86)(24, 84)(25, 91)(26, 92)(27, 89)(28, 90)(29, 95)(30, 96)(31, 93)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3^-2 * Y1^2, Y3^4, Y3^-1 * Y1^-2 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 16, 48, 14, 46)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 19, 51, 15, 47, 20, 52)(9, 41, 21, 53, 17, 49, 22, 54)(11, 43, 23, 55, 18, 50, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 71, 103, 79, 111, 72, 104, 80, 112, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 82, 114, 69, 101, 81, 113, 74, 106, 75, 107)(77, 109, 89, 121, 83, 115, 92, 124, 78, 110, 91, 123, 84, 116, 90, 122)(85, 117, 93, 125, 87, 119, 96, 128, 86, 118, 95, 127, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 70)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 75)(10, 69)(11, 81)(12, 66)(13, 84)(14, 83)(15, 67)(16, 79)(17, 82)(18, 73)(19, 77)(20, 78)(21, 88)(22, 87)(23, 85)(24, 86)(25, 90)(26, 91)(27, 92)(28, 89)(29, 94)(30, 95)(31, 96)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^-2 * Y1^-2, Y3^4, Y3^-2 * Y1^2, (R * Y2)^2, Y1^4, (R * Y3)^2, Y1 * Y3 * Y1^-1 * Y3, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 18, 50, 14, 46, 19, 51)(9, 41, 21, 53, 16, 48, 22, 54)(11, 43, 23, 55, 17, 49, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 68, 100, 78, 110, 72, 104, 84, 116, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 81, 113, 69, 101, 80, 112, 76, 108, 75, 107)(77, 109, 89, 121, 82, 114, 92, 124, 79, 111, 91, 123, 83, 115, 90, 122)(85, 117, 93, 125, 87, 119, 96, 128, 86, 118, 95, 127, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 67)(7, 65)(8, 71)(9, 81)(10, 69)(11, 73)(12, 66)(13, 82)(14, 84)(15, 83)(16, 75)(17, 80)(18, 79)(19, 77)(20, 70)(21, 87)(22, 88)(23, 86)(24, 85)(25, 92)(26, 89)(27, 90)(28, 91)(29, 96)(30, 93)(31, 94)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 9, 41)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 19, 51, 26, 58, 11, 43)(14, 46, 27, 59, 21, 53, 28, 60)(15, 47, 24, 56, 16, 48, 18, 50)(17, 49, 20, 52, 23, 55, 22, 54)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 90, 122, 72, 104, 89, 121, 85, 117, 70, 102)(66, 98, 73, 105, 91, 123, 83, 115, 69, 101, 77, 109, 92, 124, 75, 107)(68, 100, 81, 113, 94, 126, 88, 120, 71, 103, 87, 119, 93, 125, 82, 114)(74, 106, 84, 116, 96, 128, 80, 112, 76, 108, 86, 118, 95, 127, 79, 111)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 84)(7, 65)(8, 71)(9, 88)(10, 69)(11, 87)(12, 66)(13, 82)(14, 93)(15, 89)(16, 67)(17, 75)(18, 73)(19, 81)(20, 90)(21, 94)(22, 70)(23, 83)(24, 77)(25, 80)(26, 86)(27, 95)(28, 96)(29, 85)(30, 78)(31, 92)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.427
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1, R * Y2 * R * Y1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y1^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 9, 41)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 19, 51, 26, 58, 11, 43)(14, 46, 27, 59, 21, 53, 28, 60)(15, 47, 18, 50, 16, 48, 24, 56)(17, 49, 22, 54, 23, 55, 20, 52)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 90, 122, 72, 104, 89, 121, 85, 117, 70, 102)(66, 98, 73, 105, 91, 123, 83, 115, 69, 101, 77, 109, 92, 124, 75, 107)(68, 100, 81, 113, 94, 126, 88, 120, 71, 103, 87, 119, 93, 125, 82, 114)(74, 106, 86, 118, 95, 127, 79, 111, 76, 108, 84, 116, 96, 128, 80, 112)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 84)(7, 65)(8, 71)(9, 82)(10, 69)(11, 81)(12, 66)(13, 88)(14, 93)(15, 89)(16, 67)(17, 83)(18, 77)(19, 87)(20, 90)(21, 94)(22, 70)(23, 75)(24, 73)(25, 80)(26, 86)(27, 96)(28, 95)(29, 85)(30, 78)(31, 91)(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, 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 E21.428
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1 * Y1, Y1 * Y2^-2 * Y3, Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^2 * Y1^2, Y3^2 * Y1^-2, Y3^-1 * Y2^-2 * Y1, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1, Y2^-1 * R * Y1 * Y3^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-2 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 19, 51, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 14, 46, 20, 52, 16, 48)(9, 41, 21, 53, 18, 50, 23, 55)(11, 43, 22, 54, 17, 49, 24, 56)(25, 57, 32, 64, 28, 60, 29, 61)(26, 58, 30, 62, 27, 59, 31, 63)(65, 97, 67, 99, 76, 108, 84, 116, 72, 104, 83, 115, 74, 106, 70, 102)(66, 98, 73, 105, 68, 100, 81, 113, 69, 101, 82, 114, 71, 103, 75, 107)(77, 109, 89, 121, 78, 110, 91, 123, 79, 111, 92, 124, 80, 112, 90, 122)(85, 117, 93, 125, 86, 118, 95, 127, 87, 119, 96, 128, 88, 120, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 79)(7, 65)(8, 71)(9, 86)(10, 69)(11, 87)(12, 66)(13, 70)(14, 83)(15, 84)(16, 67)(17, 85)(18, 88)(19, 80)(20, 77)(21, 75)(22, 82)(23, 81)(24, 73)(25, 94)(26, 93)(27, 96)(28, 95)(29, 91)(30, 92)(31, 89)(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, 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 E21.425
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2^2, Y3^2 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, Y1^-2 * Y3^-2, Y3^4, Y1^-1 * Y2^-2 * Y3, Y3^-1 * R * Y2 * Y1^-1 * R * Y2^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (Y1^-1 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 19, 51, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 16, 48, 20, 52, 14, 46)(9, 41, 21, 53, 17, 49, 23, 55)(11, 43, 24, 56, 18, 50, 22, 54)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 84, 116, 72, 104, 83, 115, 76, 108, 70, 102)(66, 98, 73, 105, 71, 103, 82, 114, 69, 101, 81, 113, 68, 100, 75, 107)(77, 109, 89, 121, 80, 112, 92, 124, 79, 111, 91, 123, 78, 110, 90, 122)(85, 117, 93, 125, 88, 120, 96, 128, 87, 119, 95, 127, 86, 118, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 77)(7, 65)(8, 71)(9, 86)(10, 69)(11, 85)(12, 66)(13, 84)(14, 83)(15, 70)(16, 67)(17, 88)(18, 87)(19, 80)(20, 79)(21, 82)(22, 81)(23, 75)(24, 73)(25, 96)(26, 95)(27, 94)(28, 93)(29, 90)(30, 89)(31, 92)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.426
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1^-3 * Y2^-1 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y3, (Y3 * Y2^-1)^4, Y2^8, (Y3^-1 * Y1^-1)^4, Y2 * Y1 * Y3^-1 * Y1^5 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 29, 61, 17, 49, 5, 37)(3, 35, 9, 41, 26, 58, 8, 40, 24, 56, 16, 48, 19, 51, 11, 43)(4, 36, 12, 44, 23, 55, 7, 39, 21, 53, 15, 47, 20, 52, 14, 46)(10, 42, 25, 57, 31, 63, 27, 59, 13, 45, 22, 54, 32, 64, 28, 60)(65, 97, 67, 99, 74, 106, 85, 117, 94, 126, 88, 120, 77, 109, 68, 100)(66, 98, 71, 103, 86, 118, 75, 107, 93, 125, 78, 110, 89, 121, 72, 104)(69, 101, 79, 111, 91, 123, 73, 105, 82, 114, 76, 108, 92, 124, 80, 112)(70, 102, 83, 115, 95, 127, 87, 119, 81, 113, 90, 122, 96, 128, 84, 116)
	L = (1, 68)(2, 72)(3, 65)(4, 77)(5, 80)(6, 84)(7, 66)(8, 89)(9, 91)(10, 67)(11, 86)(12, 82)(13, 88)(14, 93)(15, 69)(16, 92)(17, 87)(18, 73)(19, 70)(20, 96)(21, 74)(22, 71)(23, 95)(24, 94)(25, 78)(26, 81)(27, 79)(28, 76)(29, 75)(30, 85)(31, 83)(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) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.420
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, Y2^-1 * Y3^-2 * Y2^-1, (Y3, Y2^-1), Y3 * Y2^-1 * Y3^2, (Y2 * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 15, 47, 27, 59, 18, 50, 5, 37)(3, 35, 13, 45, 25, 57, 11, 43, 7, 39, 19, 51, 22, 54, 10, 42)(4, 36, 17, 49, 24, 56, 12, 44, 6, 38, 20, 52, 23, 55, 9, 41)(14, 46, 28, 60, 31, 63, 30, 62, 16, 48, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 68, 100, 79, 111, 71, 103, 80, 112, 70, 102)(66, 98, 73, 105, 90, 122, 74, 106, 91, 123, 76, 108, 92, 124, 75, 107)(69, 101, 81, 113, 94, 126, 77, 109, 85, 117, 84, 116, 93, 125, 83, 115)(72, 104, 86, 118, 95, 127, 87, 119, 82, 114, 89, 121, 96, 128, 88, 120)
	L = (1, 68)(2, 74)(3, 79)(4, 80)(5, 77)(6, 78)(7, 65)(8, 87)(9, 91)(10, 92)(11, 90)(12, 66)(13, 93)(14, 71)(15, 70)(16, 67)(17, 85)(18, 88)(19, 94)(20, 69)(21, 83)(22, 82)(23, 96)(24, 95)(25, 72)(26, 76)(27, 75)(28, 73)(29, 81)(30, 84)(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) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.419
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.431 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 19, 51, 27, 59, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 30, 62, 24, 56, 16, 48, 8, 40)(3, 35, 9, 41, 17, 49, 25, 57, 31, 63, 26, 58, 18, 50, 10, 42)(6, 38, 13, 45, 21, 53, 28, 60, 32, 64, 29, 61, 22, 54, 14, 46)(65, 66, 70, 67)(68, 73, 77, 71)(69, 74, 78, 72)(75, 79, 85, 81)(76, 80, 86, 82)(83, 89, 92, 87)(84, 90, 93, 88)(91, 94, 96, 95)(97, 99, 102, 98)(100, 103, 109, 105)(101, 104, 110, 106)(107, 113, 117, 111)(108, 114, 118, 112)(115, 119, 124, 121)(116, 120, 125, 122)(123, 127, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.459
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.432 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 19, 51, 27, 59, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 30, 62, 24, 56, 16, 48, 8, 40)(3, 35, 9, 41, 17, 49, 25, 57, 31, 63, 26, 58, 18, 50, 10, 42)(6, 38, 13, 45, 21, 53, 28, 60, 32, 64, 29, 61, 22, 54, 14, 46)(65, 66, 70, 67)(68, 74, 77, 72)(69, 73, 78, 71)(75, 80, 85, 82)(76, 79, 86, 81)(83, 90, 92, 88)(84, 89, 93, 87)(91, 94, 96, 95)(97, 99, 102, 98)(100, 104, 109, 106)(101, 103, 110, 105)(107, 114, 117, 112)(108, 113, 118, 111)(115, 120, 124, 122)(116, 119, 125, 121)(123, 127, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.460
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.433 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2, Y1^-1), (R * Y3)^2, Y1^4, R * Y2 * R * Y1, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3^3 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y2^-2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 24, 56, 9, 41, 23, 55, 20, 52, 7, 39)(2, 34, 10, 42, 26, 58, 16, 48, 6, 38, 19, 51, 28, 60, 12, 44)(3, 35, 13, 45, 29, 61, 15, 47, 5, 37, 18, 50, 30, 62, 14, 46)(8, 40, 21, 53, 31, 63, 25, 57, 11, 43, 27, 59, 32, 64, 22, 54)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 85, 76)(71, 82, 86, 74)(77, 89, 83, 88)(78, 91, 80, 87)(81, 92, 95, 93)(84, 90, 96, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 117, 110)(103, 115, 118, 109)(106, 121, 114, 120)(108, 123, 111, 119)(113, 126, 127, 122)(116, 125, 128, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.461
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.434 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, R * Y1 * R * Y2, (Y2, Y1^-1), Y1^4, Y2^4, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^3 * Y2^-1 * Y3, (Y3^-1 * Y2^-2)^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 24, 56, 9, 41, 23, 55, 20, 52, 7, 39)(2, 34, 10, 42, 25, 57, 19, 51, 6, 38, 16, 48, 28, 60, 12, 44)(3, 35, 13, 45, 29, 61, 18, 50, 5, 37, 17, 49, 30, 62, 14, 46)(8, 40, 21, 53, 31, 63, 27, 59, 11, 43, 26, 58, 32, 64, 22, 54)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 85, 80)(71, 78, 86, 83)(74, 87, 81, 90)(76, 88, 82, 91)(79, 89, 95, 94)(84, 92, 96, 93)(97, 99, 104, 102)(98, 105, 101, 107)(100, 106, 117, 113)(103, 108, 118, 114)(109, 119, 112, 122)(110, 120, 115, 123)(111, 125, 127, 124)(116, 126, 128, 121)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.462
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.435 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2^4, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^2 * Y1 * Y3 * Y2^-1 * Y3, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^3 * Y2^-1, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 22, 54, 31, 63, 19, 51, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 15, 47, 28, 60, 12, 44, 24, 56, 8, 40)(3, 35, 9, 41, 25, 57, 14, 46, 27, 59, 11, 43, 26, 58, 10, 42)(6, 38, 17, 49, 29, 61, 23, 55, 32, 64, 20, 52, 30, 62, 18, 50)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 85, 93, 89)(80, 88, 94, 90)(91, 95, 92, 96)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 121, 125, 117)(112, 122, 126, 120)(123, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.463
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.436 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, Y1^4, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^3, Y3^-2 * Y2^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 19, 51, 31, 63, 22, 54, 16, 48, 5, 37)(2, 34, 7, 39, 21, 53, 12, 44, 28, 60, 15, 47, 24, 56, 8, 40)(3, 35, 9, 41, 25, 57, 11, 43, 27, 59, 14, 46, 26, 58, 10, 42)(6, 38, 17, 49, 29, 61, 20, 52, 32, 64, 23, 55, 30, 62, 18, 50)(65, 66, 70, 67)(68, 75, 81, 76)(69, 78, 82, 79)(71, 83, 73, 84)(72, 86, 74, 87)(77, 88, 93, 90)(80, 85, 94, 89)(91, 95, 92, 96)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 114, 110)(103, 116, 105, 115)(104, 119, 106, 118)(109, 122, 125, 120)(112, 121, 126, 117)(123, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.464
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.437 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2, Y1^-1), Y1^-2 * Y2^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2, Y1^-1 * Y3^-4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 24, 56, 9, 41, 23, 55, 20, 52, 7, 39)(2, 34, 10, 42, 25, 57, 16, 48, 6, 38, 19, 51, 28, 60, 12, 44)(3, 35, 13, 45, 29, 61, 17, 49, 5, 37, 18, 50, 30, 62, 14, 46)(8, 40, 21, 53, 31, 63, 26, 58, 11, 43, 27, 59, 32, 64, 22, 54)(65, 66, 72, 69)(67, 73, 70, 75)(68, 78, 85, 80)(71, 77, 86, 83)(74, 88, 82, 90)(76, 87, 81, 91)(79, 92, 95, 93)(84, 89, 96, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 108, 117, 113)(103, 106, 118, 114)(109, 120, 115, 122)(110, 119, 112, 123)(111, 126, 127, 121)(116, 125, 128, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.465
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.438 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y1^4, (R * Y3)^2, (Y2, Y1^-1), R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y3^-1, Y3^3 * Y2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 24, 56, 9, 41, 23, 55, 20, 52, 7, 39)(2, 34, 10, 42, 26, 58, 19, 51, 6, 38, 16, 48, 28, 60, 12, 44)(3, 35, 13, 45, 29, 61, 18, 50, 5, 37, 15, 47, 30, 62, 14, 46)(8, 40, 21, 53, 31, 63, 27, 59, 11, 43, 25, 57, 32, 64, 22, 54)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 85, 74)(71, 82, 86, 76)(77, 89, 80, 87)(78, 91, 83, 88)(81, 90, 95, 94)(84, 92, 96, 93)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 117, 109)(103, 115, 118, 110)(106, 121, 111, 119)(108, 123, 114, 120)(113, 125, 127, 124)(116, 126, 128, 122)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.466
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.439 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^2 * Y1^-1 * Y2, Y3^2 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^4, Y3^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y3)^2, Y2^2 * Y1^2, Y2 * Y3 * Y1^-2 * Y3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 20, 52, 8, 40, 19, 51, 11, 43, 7, 39)(2, 34, 10, 42, 6, 38, 18, 50, 5, 37, 13, 45, 3, 35, 12, 44)(14, 46, 25, 57, 17, 49, 28, 60, 16, 48, 27, 59, 15, 47, 26, 58)(21, 53, 29, 61, 24, 56, 32, 64, 23, 55, 31, 63, 22, 54, 30, 62)(65, 66, 72, 69)(67, 75, 70, 73)(68, 78, 83, 80)(71, 81, 84, 79)(74, 85, 77, 87)(76, 88, 82, 86)(89, 93, 91, 95)(90, 96, 92, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 111, 115, 113)(103, 110, 116, 112)(106, 118, 109, 120)(108, 117, 114, 119)(121, 126, 123, 128)(122, 125, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.467
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.440 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3^-1, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y2^4, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1^-2 * Y3 * Y1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^6 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 20, 52, 8, 40, 19, 51, 9, 41, 7, 39)(2, 34, 10, 42, 3, 35, 13, 45, 5, 37, 18, 50, 6, 38, 12, 44)(14, 46, 25, 57, 15, 47, 27, 59, 16, 48, 28, 60, 17, 49, 26, 58)(21, 53, 29, 61, 22, 54, 31, 63, 23, 55, 32, 64, 24, 56, 30, 62)(65, 66, 72, 69)(67, 75, 70, 73)(68, 78, 83, 80)(71, 79, 84, 81)(74, 85, 82, 87)(76, 86, 77, 88)(89, 93, 92, 96)(90, 95, 91, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 111, 115, 113)(103, 112, 116, 110)(106, 118, 114, 120)(108, 119, 109, 117)(121, 127, 124, 126)(122, 128, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.468
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.441 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^4, Y3^8, (Y3 * Y1^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 9, 41, 17, 49, 25, 57, 20, 52, 12, 44, 5, 37)(2, 34, 7, 39, 15, 47, 23, 55, 30, 62, 24, 56, 16, 48, 8, 40)(4, 36, 11, 43, 19, 51, 27, 59, 31, 63, 26, 58, 18, 50, 10, 42)(6, 38, 13, 45, 21, 53, 28, 60, 32, 64, 29, 61, 22, 54, 14, 46)(65, 66, 70, 68)(67, 72, 77, 74)(69, 71, 78, 75)(73, 80, 85, 82)(76, 79, 86, 83)(81, 88, 92, 90)(84, 87, 93, 91)(89, 94, 96, 95)(97, 98, 102, 100)(99, 104, 109, 106)(101, 103, 110, 107)(105, 112, 117, 114)(108, 111, 118, 115)(113, 120, 124, 122)(116, 119, 125, 123)(121, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.469
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.442 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y1^4, Y2^2 * Y1^2, Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2, R * Y1 * R * Y2, (Y2^-1, Y1), (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^3 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 26, 58, 11, 43, 27, 59, 20, 52, 7, 39)(2, 34, 10, 42, 25, 57, 14, 46, 3, 35, 13, 45, 28, 60, 12, 44)(5, 37, 18, 50, 30, 62, 17, 49, 6, 38, 19, 51, 29, 61, 16, 48)(8, 40, 21, 53, 31, 63, 24, 56, 9, 41, 23, 55, 32, 64, 22, 54)(65, 66, 72, 69)(67, 73, 70, 75)(68, 76, 85, 80)(71, 74, 86, 82)(77, 88, 83, 90)(78, 87, 81, 91)(79, 92, 95, 93)(84, 89, 96, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 117, 113)(103, 109, 118, 115)(106, 120, 114, 122)(108, 119, 112, 123)(111, 121, 127, 126)(116, 124, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.470
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.443 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y2^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^3 * Y1^-1, Y1^-1 * Y3^3 * Y1 * Y3^-1, (Y1 * Y3 * Y1^-1 * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 21, 53, 32, 64, 23, 55, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 9, 41, 25, 57, 14, 46, 24, 56, 8, 40)(4, 36, 12, 44, 28, 60, 11, 43, 27, 59, 15, 47, 26, 58, 13, 45)(6, 38, 17, 49, 29, 61, 19, 51, 31, 63, 22, 54, 30, 62, 18, 50)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 93, 90)(80, 84, 94, 92)(89, 95, 91, 96)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 120, 125, 122)(112, 116, 126, 124)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.471
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.444 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y2^2 * Y1^2, Y1^4, (Y2^-1, Y1), Y3 * Y1 * Y3 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3^-1, Y3 * Y2^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 26, 58, 11, 43, 27, 59, 20, 52, 7, 39)(2, 34, 10, 42, 25, 57, 14, 46, 3, 35, 13, 45, 28, 60, 12, 44)(5, 37, 18, 50, 30, 62, 16, 48, 6, 38, 19, 51, 29, 61, 17, 49)(8, 40, 21, 53, 31, 63, 24, 56, 9, 41, 23, 55, 32, 64, 22, 54)(65, 66, 72, 69)(67, 73, 70, 75)(68, 78, 85, 80)(71, 77, 86, 83)(74, 88, 82, 90)(76, 87, 81, 91)(79, 92, 95, 93)(84, 89, 96, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 108, 117, 113)(103, 106, 118, 114)(109, 120, 115, 122)(110, 119, 112, 123)(111, 121, 127, 126)(116, 124, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.472
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.445 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 97>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y2^-2 * Y1, Y2 * Y3^-2 * Y2 * Y1^-2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y2, Y2^2 * Y3^-2 * Y1^-2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 17, 49, 11, 43)(6, 38, 18, 50, 9, 41, 19, 51)(12, 44, 25, 57, 15, 47, 26, 58)(13, 45, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(21, 53, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 78, 86, 73, 67)(68, 76, 83, 80, 69, 79, 82, 77)(71, 84, 74, 88, 72, 87, 75, 85)(89, 93, 91, 95, 90, 94, 92, 96)(97, 99, 105, 118, 110, 113, 102, 98)(100, 109, 114, 111, 101, 112, 115, 108)(103, 117, 107, 119, 104, 120, 106, 116)(121, 128, 124, 126, 122, 127, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.473
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.446 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, (Y2 * Y1)^2, Y2^-3 * Y1, (Y2, Y1^-1), Y2 * Y3^-2 * Y1, Y1 * Y2 * Y3^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-2 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 67, 73, 70, 75, 69)(68, 79, 84, 80, 71, 82, 83, 81)(74, 85, 78, 86, 76, 88, 77, 87)(89, 93, 92, 96, 90, 94, 91, 95)(97, 99, 107, 98, 105, 101, 104, 102)(100, 112, 115, 111, 103, 113, 116, 114)(106, 118, 109, 117, 108, 119, 110, 120)(121, 128, 123, 125, 122, 127, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.474
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.447 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y1^8, Y2^8, (Y3 * Y1^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 9, 41, 5, 37)(2, 34, 7, 39, 16, 48, 8, 40)(4, 36, 11, 43, 17, 49, 10, 42)(6, 38, 14, 46, 24, 56, 15, 47)(12, 44, 18, 50, 25, 57, 19, 51)(13, 45, 22, 54, 30, 62, 23, 55)(20, 52, 27, 59, 31, 63, 26, 58)(21, 53, 28, 60, 32, 64, 29, 61)(65, 66, 70, 77, 85, 84, 76, 68)(67, 72, 78, 87, 92, 90, 82, 74)(69, 71, 79, 86, 93, 91, 83, 75)(73, 80, 88, 94, 96, 95, 89, 81)(97, 98, 102, 109, 117, 116, 108, 100)(99, 104, 110, 119, 124, 122, 114, 106)(101, 103, 111, 118, 125, 123, 115, 107)(105, 112, 120, 126, 128, 127, 121, 113)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.476
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.448 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3 * Y1^-3 * Y3 * Y1^-1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 21, 53, 8, 40)(4, 36, 12, 44, 27, 59, 14, 46)(6, 38, 18, 50, 30, 62, 19, 51)(9, 41, 25, 57, 15, 47, 26, 58)(11, 43, 17, 49, 16, 48, 28, 60)(13, 45, 23, 55, 31, 63, 20, 52)(22, 54, 29, 61, 24, 56, 32, 64)(65, 66, 70, 81, 93, 89, 77, 68)(67, 73, 82, 78, 88, 72, 87, 75)(69, 79, 83, 76, 86, 71, 84, 80)(74, 85, 94, 92, 96, 90, 95, 91)(97, 98, 102, 113, 125, 121, 109, 100)(99, 105, 114, 110, 120, 104, 119, 107)(101, 111, 115, 108, 118, 103, 116, 112)(106, 117, 126, 124, 128, 122, 127, 123)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.475
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.449 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C2 x QD16) : C2 (small group id <64, 141>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1^-1, (Y2^-1 * Y1)^2, Y1^2 * Y2 * Y1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^4, Y2 * Y1^-2 * Y2, Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 15, 47, 7, 39)(2, 34, 10, 42, 24, 56, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 18, 50, 28, 60, 16, 48)(6, 38, 19, 51, 29, 61, 17, 49)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 26, 58, 32, 64, 25, 57)(65, 66, 72, 70, 75, 67, 73, 69)(68, 76, 84, 81, 90, 78, 86, 80)(71, 74, 85, 83, 89, 77, 87, 82)(79, 88, 94, 93, 96, 91, 95, 92)(97, 99, 104, 101, 107, 98, 105, 102)(100, 110, 116, 112, 122, 108, 118, 113)(103, 109, 117, 114, 121, 106, 119, 115)(111, 123, 126, 124, 128, 120, 127, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.478
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.450 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C2 x QD16) : C2 (small group id <64, 141>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1^-1, (Y1^-1 * Y2)^2, Y2^-1 * Y1^-3, R * Y1 * R * Y2, Y1^-2 * Y2^2, Y1^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3^4, (Y2^-1, Y1), Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^2 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 15, 47, 7, 39)(2, 34, 10, 42, 24, 56, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 18, 50, 28, 60, 17, 49)(6, 38, 19, 51, 29, 61, 16, 48)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 26, 58, 32, 64, 25, 57)(65, 66, 72, 70, 75, 67, 73, 69)(68, 78, 84, 81, 90, 76, 86, 80)(71, 77, 85, 82, 89, 74, 87, 83)(79, 88, 94, 93, 96, 91, 95, 92)(97, 99, 104, 101, 107, 98, 105, 102)(100, 108, 116, 112, 122, 110, 118, 113)(103, 106, 117, 115, 121, 109, 119, 114)(111, 123, 126, 124, 128, 120, 127, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.477
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.451 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^2 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y2^-2 * Y3^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 26, 58, 11, 43)(6, 38, 18, 50, 30, 62, 19, 51)(9, 41, 21, 53, 32, 64, 24, 56)(12, 44, 27, 59, 15, 47, 17, 49)(13, 45, 28, 60, 16, 48, 25, 57)(20, 52, 31, 63, 23, 55, 29, 61)(65, 66, 70, 81, 93, 89, 73, 67)(68, 76, 85, 71, 84, 74, 82, 77)(69, 79, 88, 72, 87, 75, 83, 80)(78, 86, 94, 91, 95, 92, 96, 90)(97, 99, 105, 121, 125, 113, 102, 98)(100, 109, 114, 106, 116, 103, 117, 108)(101, 112, 115, 107, 119, 104, 120, 111)(110, 122, 128, 124, 127, 123, 126, 118)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.479
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.452 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y1^2 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2 * Y3 * Y1 * Y3 * Y1^-2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-1, Y1^8, Y2^8, Y3 * Y1 * Y3^-2 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 26, 58, 11, 43)(6, 38, 18, 50, 30, 62, 19, 51)(9, 41, 24, 56, 32, 64, 21, 53)(12, 44, 17, 49, 15, 47, 27, 59)(13, 45, 25, 57, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 31, 63)(65, 66, 70, 81, 93, 89, 73, 67)(68, 76, 88, 72, 87, 75, 82, 77)(69, 79, 85, 71, 84, 74, 83, 80)(78, 86, 94, 91, 95, 92, 96, 90)(97, 99, 105, 121, 125, 113, 102, 98)(100, 109, 114, 107, 119, 104, 120, 108)(101, 112, 115, 106, 116, 103, 117, 111)(110, 122, 128, 124, 127, 123, 126, 118)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.480
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.453 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 12, 44, 5, 37)(2, 34, 7, 39, 16, 48, 8, 40)(3, 35, 10, 42, 20, 52, 11, 43)(6, 38, 14, 46, 24, 56, 15, 47)(9, 41, 18, 50, 27, 59, 19, 51)(13, 45, 22, 54, 30, 62, 23, 55)(17, 49, 25, 57, 31, 63, 26, 58)(21, 53, 28, 60, 32, 64, 29, 61)(65, 66, 70, 77, 85, 81, 73, 67)(68, 74, 82, 89, 92, 86, 78, 71)(69, 75, 83, 90, 93, 87, 79, 72)(76, 80, 88, 94, 96, 95, 91, 84)(97, 99, 105, 113, 117, 109, 102, 98)(100, 103, 110, 118, 124, 121, 114, 106)(101, 104, 111, 119, 125, 122, 115, 107)(108, 116, 123, 127, 128, 126, 120, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.481
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.454 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^-1 * Y1^-1, Y2^-1 * Y1^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, (Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y2^-1, (Y3 * Y1^-1)^2, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 12, 44, 5, 37)(2, 34, 7, 39, 16, 48, 8, 40)(3, 35, 10, 42, 20, 52, 11, 43)(6, 38, 14, 46, 24, 56, 15, 47)(9, 41, 18, 50, 27, 59, 19, 51)(13, 45, 22, 54, 30, 62, 23, 55)(17, 49, 25, 57, 31, 63, 26, 58)(21, 53, 28, 60, 32, 64, 29, 61)(65, 66, 70, 77, 85, 81, 73, 67)(68, 75, 82, 90, 92, 87, 78, 72)(69, 74, 83, 89, 93, 86, 79, 71)(76, 80, 88, 94, 96, 95, 91, 84)(97, 99, 105, 113, 117, 109, 102, 98)(100, 104, 110, 119, 124, 122, 114, 107)(101, 103, 111, 118, 125, 121, 115, 106)(108, 116, 123, 127, 128, 126, 120, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.482
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.455 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y2 * Y1^-3, Y2^2 * Y1^-1 * Y2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^4, (R * Y3)^2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, Y3 * Y2^-2 * Y3^-1 * Y1^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 15, 47, 28, 60, 18, 50)(6, 38, 16, 48, 29, 61, 19, 51)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 24, 56, 32, 64, 26, 58)(65, 66, 72, 67, 73, 70, 75, 69)(68, 79, 88, 80, 86, 77, 84, 74)(71, 82, 90, 83, 87, 78, 85, 76)(81, 89, 94, 91, 95, 93, 96, 92)(97, 99, 107, 98, 105, 101, 104, 102)(100, 112, 116, 111, 118, 106, 120, 109)(103, 115, 117, 114, 119, 108, 122, 110)(113, 123, 128, 121, 127, 124, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.483
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.456 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-3, Y2^-2 * Y1 * Y2^-1, Y3^4, Y3 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, Y2^2 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 7, 39)(2, 34, 10, 42, 24, 56, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 18, 50, 28, 60, 17, 49)(6, 38, 19, 51, 29, 61, 16, 48)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 26, 58, 32, 64, 25, 57)(65, 66, 72, 67, 73, 70, 75, 69)(68, 78, 90, 76, 86, 81, 84, 80)(71, 77, 89, 74, 87, 82, 85, 83)(79, 88, 94, 91, 95, 93, 96, 92)(97, 99, 107, 98, 105, 101, 104, 102)(100, 108, 116, 110, 118, 112, 122, 113)(103, 106, 117, 109, 119, 115, 121, 114)(111, 123, 128, 120, 127, 124, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.484
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.457 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2 * Y2, (Y2^-1 * Y1^-1)^2, Y3^4, Y1^-3 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 15, 47, 7, 39)(2, 34, 10, 42, 24, 56, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 17, 49, 28, 60, 18, 50)(6, 38, 16, 48, 29, 61, 19, 51)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 25, 57, 32, 64, 26, 58)(65, 66, 72, 67, 73, 70, 75, 69)(68, 77, 89, 74, 86, 81, 84, 80)(71, 78, 90, 76, 87, 82, 85, 83)(79, 88, 94, 91, 95, 93, 96, 92)(97, 99, 107, 98, 105, 101, 104, 102)(100, 106, 116, 109, 118, 112, 121, 113)(103, 108, 117, 110, 119, 115, 122, 114)(111, 123, 128, 120, 127, 124, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.485
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.458 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1, Y2^2 * Y1^2, Y2 * Y1^-3, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y3^4, (Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 18, 50, 28, 60, 15, 47)(6, 38, 19, 51, 29, 61, 16, 48)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 26, 58, 32, 64, 24, 56)(65, 66, 72, 67, 73, 70, 75, 69)(68, 79, 90, 80, 86, 78, 84, 76)(71, 82, 88, 83, 87, 77, 85, 74)(81, 89, 94, 91, 95, 93, 96, 92)(97, 99, 107, 98, 105, 101, 104, 102)(100, 112, 116, 111, 118, 108, 122, 110)(103, 115, 117, 114, 119, 106, 120, 109)(113, 123, 128, 121, 127, 124, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.486
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.459 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 19, 51, 83, 115, 27, 59, 91, 123, 20, 52, 84, 116, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 15, 47, 79, 111, 23, 55, 87, 119, 30, 62, 94, 126, 24, 56, 88, 120, 16, 48, 80, 112, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 31, 63, 95, 127, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)(6, 38, 70, 102, 13, 45, 77, 109, 21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125, 22, 54, 86, 118, 14, 46, 78, 110)
	L = (1, 34)(2, 38)(3, 33)(4, 41)(5, 42)(6, 35)(7, 36)(8, 37)(9, 45)(10, 46)(11, 47)(12, 48)(13, 39)(14, 40)(15, 53)(16, 54)(17, 43)(18, 44)(19, 57)(20, 58)(21, 49)(22, 50)(23, 51)(24, 52)(25, 60)(26, 61)(27, 62)(28, 55)(29, 56)(30, 64)(31, 59)(32, 63)(65, 99)(66, 97)(67, 102)(68, 103)(69, 104)(70, 98)(71, 109)(72, 110)(73, 100)(74, 101)(75, 113)(76, 114)(77, 105)(78, 106)(79, 107)(80, 108)(81, 117)(82, 118)(83, 119)(84, 120)(85, 111)(86, 112)(87, 124)(88, 125)(89, 115)(90, 116)(91, 127)(92, 121)(93, 122)(94, 123)(95, 128)(96, 126)
	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 E21.431
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.460 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 19, 51, 83, 115, 27, 59, 91, 123, 20, 52, 84, 116, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 15, 47, 79, 111, 23, 55, 87, 119, 30, 62, 94, 126, 24, 56, 88, 120, 16, 48, 80, 112, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 31, 63, 95, 127, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)(6, 38, 70, 102, 13, 45, 77, 109, 21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125, 22, 54, 86, 118, 14, 46, 78, 110)
	L = (1, 34)(2, 38)(3, 33)(4, 42)(5, 41)(6, 35)(7, 37)(8, 36)(9, 46)(10, 45)(11, 48)(12, 47)(13, 40)(14, 39)(15, 54)(16, 53)(17, 44)(18, 43)(19, 58)(20, 57)(21, 50)(22, 49)(23, 52)(24, 51)(25, 61)(26, 60)(27, 62)(28, 56)(29, 55)(30, 64)(31, 59)(32, 63)(65, 99)(66, 97)(67, 102)(68, 104)(69, 103)(70, 98)(71, 110)(72, 109)(73, 101)(74, 100)(75, 114)(76, 113)(77, 106)(78, 105)(79, 108)(80, 107)(81, 118)(82, 117)(83, 120)(84, 119)(85, 112)(86, 111)(87, 125)(88, 124)(89, 116)(90, 115)(91, 127)(92, 122)(93, 121)(94, 123)(95, 128)(96, 126)
	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 E21.432
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.461 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2, Y1^-1), (R * Y3)^2, Y1^4, R * Y2 * R * Y1, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3^3 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y2^-2 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 24, 56, 88, 120, 9, 41, 73, 105, 23, 55, 87, 119, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 26, 58, 90, 122, 16, 48, 80, 112, 6, 38, 70, 102, 19, 51, 83, 115, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 29, 61, 93, 125, 15, 47, 79, 111, 5, 37, 69, 101, 18, 50, 82, 114, 30, 62, 94, 126, 14, 46, 78, 110)(8, 40, 72, 104, 21, 53, 85, 117, 31, 63, 95, 127, 25, 57, 89, 121, 11, 43, 75, 107, 27, 59, 91, 123, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 39)(11, 35)(12, 36)(13, 57)(14, 59)(15, 53)(16, 55)(17, 60)(18, 54)(19, 56)(20, 58)(21, 44)(22, 42)(23, 46)(24, 45)(25, 51)(26, 64)(27, 48)(28, 63)(29, 49)(30, 52)(31, 61)(32, 62)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 115)(72, 102)(73, 101)(74, 121)(75, 98)(76, 123)(77, 103)(78, 100)(79, 119)(80, 117)(81, 126)(82, 120)(83, 118)(84, 125)(85, 110)(86, 109)(87, 108)(88, 106)(89, 114)(90, 113)(91, 111)(92, 116)(93, 128)(94, 127)(95, 122)(96, 124)
	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 E21.433
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.462 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, R * Y1 * R * Y2, (Y2, Y1^-1), Y1^4, Y2^4, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^3 * Y2^-1 * Y3, (Y3^-1 * Y2^-2)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 24, 56, 88, 120, 9, 41, 73, 105, 23, 55, 87, 119, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 19, 51, 83, 115, 6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 29, 61, 93, 125, 18, 50, 82, 114, 5, 37, 69, 101, 17, 49, 81, 113, 30, 62, 94, 126, 14, 46, 78, 110)(8, 40, 72, 104, 21, 53, 85, 117, 31, 63, 95, 127, 27, 59, 91, 123, 11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 55)(11, 35)(12, 56)(13, 53)(14, 54)(15, 57)(16, 36)(17, 58)(18, 59)(19, 39)(20, 60)(21, 48)(22, 51)(23, 49)(24, 50)(25, 63)(26, 42)(27, 44)(28, 64)(29, 52)(30, 47)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 108)(72, 102)(73, 101)(74, 117)(75, 98)(76, 118)(77, 119)(78, 120)(79, 125)(80, 122)(81, 100)(82, 103)(83, 123)(84, 126)(85, 113)(86, 114)(87, 112)(88, 115)(89, 116)(90, 109)(91, 110)(92, 111)(93, 127)(94, 128)(95, 124)(96, 121)
	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 E21.434
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.463 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2^4, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^2 * Y1 * Y3 * Y2^-1 * Y3, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^3 * Y2^-1, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 22, 54, 86, 118, 31, 63, 95, 127, 19, 51, 83, 115, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 15, 47, 79, 111, 28, 60, 92, 124, 12, 44, 76, 108, 24, 56, 88, 120, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 25, 57, 89, 121, 14, 46, 78, 110, 27, 59, 91, 123, 11, 43, 75, 107, 26, 58, 90, 122, 10, 42, 74, 106)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 20, 52, 84, 116, 30, 62, 94, 126, 18, 50, 82, 114)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 53)(14, 50)(15, 37)(16, 56)(17, 44)(18, 47)(19, 41)(20, 39)(21, 61)(22, 42)(23, 40)(24, 62)(25, 45)(26, 48)(27, 63)(28, 64)(29, 57)(30, 58)(31, 60)(32, 59)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 121)(78, 101)(79, 114)(80, 122)(81, 107)(82, 110)(83, 103)(84, 105)(85, 109)(86, 104)(87, 106)(88, 112)(89, 125)(90, 126)(91, 128)(92, 127)(93, 117)(94, 120)(95, 123)(96, 124)
	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 E21.435
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.464 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, Y1^4, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^3, Y3^-2 * Y2^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 19, 51, 83, 115, 31, 63, 95, 127, 22, 54, 86, 118, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 12, 44, 76, 108, 28, 60, 92, 124, 15, 47, 79, 111, 24, 56, 88, 120, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 25, 57, 89, 121, 11, 43, 75, 107, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122, 10, 42, 74, 106)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 20, 52, 84, 116, 32, 64, 96, 128, 23, 55, 87, 119, 30, 62, 94, 126, 18, 50, 82, 114)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 51)(8, 54)(9, 52)(10, 55)(11, 49)(12, 36)(13, 56)(14, 50)(15, 37)(16, 53)(17, 44)(18, 47)(19, 41)(20, 39)(21, 62)(22, 42)(23, 40)(24, 61)(25, 48)(26, 45)(27, 63)(28, 64)(29, 58)(30, 57)(31, 60)(32, 59)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 116)(72, 119)(73, 115)(74, 118)(75, 100)(76, 113)(77, 122)(78, 101)(79, 114)(80, 121)(81, 107)(82, 110)(83, 103)(84, 105)(85, 112)(86, 104)(87, 106)(88, 109)(89, 126)(90, 125)(91, 128)(92, 127)(93, 120)(94, 117)(95, 123)(96, 124)
	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 E21.436
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.465 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2, Y1^-1), Y1^-2 * Y2^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2, Y1^-1 * Y3^-4 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 24, 56, 88, 120, 9, 41, 73, 105, 23, 55, 87, 119, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 16, 48, 80, 112, 6, 38, 70, 102, 19, 51, 83, 115, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 29, 61, 93, 125, 17, 49, 81, 113, 5, 37, 69, 101, 18, 50, 82, 114, 30, 62, 94, 126, 14, 46, 78, 110)(8, 40, 72, 104, 21, 53, 85, 117, 31, 63, 95, 127, 26, 58, 90, 122, 11, 43, 75, 107, 27, 59, 91, 123, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 45)(8, 37)(9, 38)(10, 56)(11, 35)(12, 55)(13, 54)(14, 53)(15, 60)(16, 36)(17, 59)(18, 58)(19, 39)(20, 57)(21, 48)(22, 51)(23, 49)(24, 50)(25, 64)(26, 42)(27, 44)(28, 63)(29, 47)(30, 52)(31, 61)(32, 62)(65, 99)(66, 105)(67, 104)(68, 108)(69, 107)(70, 97)(71, 106)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 120)(78, 119)(79, 126)(80, 123)(81, 100)(82, 103)(83, 122)(84, 125)(85, 113)(86, 114)(87, 112)(88, 115)(89, 111)(90, 109)(91, 110)(92, 116)(93, 128)(94, 127)(95, 121)(96, 124)
	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 E21.437
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.466 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y1^4, (R * Y3)^2, (Y2, Y1^-1), R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y3^-1, Y3^3 * Y2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 24, 56, 88, 120, 9, 41, 73, 105, 23, 55, 87, 119, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 26, 58, 90, 122, 19, 51, 83, 115, 6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 29, 61, 93, 125, 18, 50, 82, 114, 5, 37, 69, 101, 15, 47, 79, 111, 30, 62, 94, 126, 14, 46, 78, 110)(8, 40, 72, 104, 21, 53, 85, 117, 31, 63, 95, 127, 27, 59, 91, 123, 11, 43, 75, 107, 25, 57, 89, 121, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 36)(11, 35)(12, 39)(13, 57)(14, 59)(15, 53)(16, 55)(17, 58)(18, 54)(19, 56)(20, 60)(21, 42)(22, 44)(23, 45)(24, 46)(25, 48)(26, 63)(27, 51)(28, 64)(29, 52)(30, 49)(31, 62)(32, 61)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 115)(72, 102)(73, 101)(74, 121)(75, 98)(76, 123)(77, 100)(78, 103)(79, 119)(80, 117)(81, 125)(82, 120)(83, 118)(84, 126)(85, 109)(86, 110)(87, 106)(88, 108)(89, 111)(90, 116)(91, 114)(92, 113)(93, 127)(94, 128)(95, 124)(96, 122)
	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 E21.438
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.467 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^2 * Y1^-1 * Y2, Y3^2 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^4, Y3^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y3)^2, Y2^2 * Y1^2, Y2 * Y3 * Y1^-2 * Y3 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 20, 52, 84, 116, 8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 18, 50, 82, 114, 5, 37, 69, 101, 13, 45, 77, 109, 3, 35, 67, 99, 12, 44, 76, 108)(14, 46, 78, 110, 25, 57, 89, 121, 17, 49, 81, 113, 28, 60, 92, 124, 16, 48, 80, 112, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 32, 64, 96, 128, 23, 55, 87, 119, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 43)(4, 46)(5, 33)(6, 41)(7, 49)(8, 37)(9, 35)(10, 53)(11, 38)(12, 56)(13, 55)(14, 51)(15, 39)(16, 36)(17, 52)(18, 54)(19, 48)(20, 47)(21, 45)(22, 44)(23, 42)(24, 50)(25, 61)(26, 64)(27, 63)(28, 62)(29, 59)(30, 58)(31, 57)(32, 60)(65, 99)(66, 105)(67, 104)(68, 111)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 120)(78, 116)(79, 115)(80, 103)(81, 100)(82, 119)(83, 113)(84, 112)(85, 114)(86, 109)(87, 108)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 124)(94, 123)(95, 122)(96, 121)
	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 E21.439
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.468 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C4 x D8) : C2 (small group id <64, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3^-1, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y2^4, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1^-2 * Y3 * Y1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3^6 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 20, 52, 84, 116, 8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 18, 50, 82, 114, 6, 38, 70, 102, 12, 44, 76, 108)(14, 46, 78, 110, 25, 57, 89, 121, 15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113, 26, 58, 90, 122)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128, 24, 56, 88, 120, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 43)(4, 46)(5, 33)(6, 41)(7, 47)(8, 37)(9, 35)(10, 53)(11, 38)(12, 54)(13, 56)(14, 51)(15, 52)(16, 36)(17, 39)(18, 55)(19, 48)(20, 49)(21, 50)(22, 45)(23, 42)(24, 44)(25, 61)(26, 63)(27, 62)(28, 64)(29, 60)(30, 58)(31, 59)(32, 57)(65, 99)(66, 105)(67, 104)(68, 111)(69, 107)(70, 97)(71, 112)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 103)(79, 115)(80, 116)(81, 100)(82, 120)(83, 113)(84, 110)(85, 108)(86, 114)(87, 109)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 122)(94, 121)(95, 124)(96, 123)
	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 E21.440
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.469 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^4, Y3^8, (Y3 * Y1^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 20, 52, 84, 116, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 15, 47, 79, 111, 23, 55, 87, 119, 30, 62, 94, 126, 24, 56, 88, 120, 16, 48, 80, 112, 8, 40, 72, 104)(4, 36, 68, 100, 11, 43, 75, 107, 19, 51, 83, 115, 27, 59, 91, 123, 31, 63, 95, 127, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)(6, 38, 70, 102, 13, 45, 77, 109, 21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125, 22, 54, 86, 118, 14, 46, 78, 110)
	L = (1, 34)(2, 38)(3, 40)(4, 33)(5, 39)(6, 36)(7, 46)(8, 45)(9, 48)(10, 35)(11, 37)(12, 47)(13, 42)(14, 43)(15, 54)(16, 53)(17, 56)(18, 41)(19, 44)(20, 55)(21, 50)(22, 51)(23, 61)(24, 60)(25, 62)(26, 49)(27, 52)(28, 58)(29, 59)(30, 64)(31, 57)(32, 63)(65, 98)(66, 102)(67, 104)(68, 97)(69, 103)(70, 100)(71, 110)(72, 109)(73, 112)(74, 99)(75, 101)(76, 111)(77, 106)(78, 107)(79, 118)(80, 117)(81, 120)(82, 105)(83, 108)(84, 119)(85, 114)(86, 115)(87, 125)(88, 124)(89, 126)(90, 113)(91, 116)(92, 122)(93, 123)(94, 128)(95, 121)(96, 127)
	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 E21.441
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.470 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y1^4, Y2^2 * Y1^2, Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2, R * Y1 * R * Y2, (Y2^-1, Y1), (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^3 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 26, 58, 90, 122, 11, 43, 75, 107, 27, 59, 91, 123, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 14, 46, 78, 110, 3, 35, 67, 99, 13, 45, 77, 109, 28, 60, 92, 124, 12, 44, 76, 108)(5, 37, 69, 101, 18, 50, 82, 114, 30, 62, 94, 126, 17, 49, 81, 113, 6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 9, 41, 73, 105, 23, 55, 87, 119, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 41)(4, 44)(5, 33)(6, 43)(7, 42)(8, 37)(9, 38)(10, 54)(11, 35)(12, 53)(13, 56)(14, 55)(15, 60)(16, 36)(17, 59)(18, 39)(19, 58)(20, 57)(21, 48)(22, 50)(23, 49)(24, 51)(25, 64)(26, 45)(27, 46)(28, 63)(29, 47)(30, 52)(31, 61)(32, 62)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 120)(75, 98)(76, 119)(77, 118)(78, 117)(79, 121)(80, 123)(81, 100)(82, 122)(83, 103)(84, 124)(85, 113)(86, 115)(87, 112)(88, 114)(89, 127)(90, 106)(91, 108)(92, 128)(93, 116)(94, 111)(95, 126)(96, 125)
	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 E21.442
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.471 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, Y1^4, (R * Y3)^2, Y2^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^3 * Y1^-1, Y1^-1 * Y3^3 * Y1 * Y3^-1, (Y1 * Y3 * Y1^-1 * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 21, 53, 85, 117, 32, 64, 96, 128, 23, 55, 87, 119, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 9, 41, 73, 105, 25, 57, 89, 121, 14, 46, 78, 110, 24, 56, 88, 120, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 28, 60, 92, 124, 11, 43, 75, 107, 27, 59, 91, 123, 15, 47, 79, 111, 26, 58, 90, 122, 13, 45, 77, 109)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 19, 51, 83, 115, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126, 18, 50, 82, 114)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 56)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 52)(17, 43)(18, 47)(19, 44)(20, 62)(21, 39)(22, 45)(23, 40)(24, 61)(25, 63)(26, 42)(27, 64)(28, 48)(29, 58)(30, 60)(31, 59)(32, 57)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 115)(72, 118)(73, 113)(74, 120)(75, 99)(76, 117)(77, 119)(78, 114)(79, 101)(80, 116)(81, 107)(82, 111)(83, 108)(84, 126)(85, 103)(86, 109)(87, 104)(88, 125)(89, 127)(90, 106)(91, 128)(92, 112)(93, 122)(94, 124)(95, 123)(96, 121)
	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 E21.443
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.472 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y2^2 * Y1^2, Y1^4, (Y2^-1, Y1), Y3 * Y1 * Y3 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3^-1, Y3 * Y2^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 26, 58, 90, 122, 11, 43, 75, 107, 27, 59, 91, 123, 20, 52, 84, 116, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 14, 46, 78, 110, 3, 35, 67, 99, 13, 45, 77, 109, 28, 60, 92, 124, 12, 44, 76, 108)(5, 37, 69, 101, 18, 50, 82, 114, 30, 62, 94, 126, 16, 48, 80, 112, 6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 17, 49, 81, 113)(8, 40, 72, 104, 21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 9, 41, 73, 105, 23, 55, 87, 119, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 45)(8, 37)(9, 38)(10, 56)(11, 35)(12, 55)(13, 54)(14, 53)(15, 60)(16, 36)(17, 59)(18, 58)(19, 39)(20, 57)(21, 48)(22, 51)(23, 49)(24, 50)(25, 64)(26, 42)(27, 44)(28, 63)(29, 47)(30, 52)(31, 61)(32, 62)(65, 99)(66, 105)(67, 104)(68, 108)(69, 107)(70, 97)(71, 106)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 120)(78, 119)(79, 121)(80, 123)(81, 100)(82, 103)(83, 122)(84, 124)(85, 113)(86, 114)(87, 112)(88, 115)(89, 127)(90, 109)(91, 110)(92, 128)(93, 116)(94, 111)(95, 126)(96, 125)
	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 E21.444
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.473 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 97>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y2^-2 * Y1, Y2 * Y3^-2 * Y2 * Y1^-2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y2, Y2^2 * Y3^-2 * Y1^-2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 17, 49, 81, 113, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 9, 41, 73, 105, 19, 51, 83, 115)(12, 44, 76, 108, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(13, 45, 77, 109, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 56)(11, 53)(12, 51)(13, 36)(14, 54)(15, 50)(16, 37)(17, 46)(18, 45)(19, 48)(20, 42)(21, 39)(22, 41)(23, 43)(24, 40)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 58)(32, 57)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 118)(74, 116)(75, 119)(76, 100)(77, 114)(78, 113)(79, 101)(80, 115)(81, 102)(82, 111)(83, 108)(84, 103)(85, 107)(86, 110)(87, 104)(88, 106)(89, 128)(90, 127)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.445
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.474 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, (Y2 * Y1)^2, Y2^-3 * Y1, (Y2, Y1^-1), Y2 * Y3^-2 * Y1, Y1 * Y2 * Y3^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-2 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 35)(9, 38)(10, 53)(11, 37)(12, 56)(13, 55)(14, 54)(15, 52)(16, 39)(17, 36)(18, 51)(19, 49)(20, 48)(21, 46)(22, 44)(23, 42)(24, 45)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 105)(67, 107)(68, 112)(69, 104)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 120)(79, 103)(80, 115)(81, 116)(82, 100)(83, 111)(84, 114)(85, 108)(86, 109)(87, 110)(88, 106)(89, 128)(90, 127)(91, 125)(92, 126)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.446
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.475 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y1^8, Y2^8, (Y3 * Y1^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 9, 41, 73, 105, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 16, 48, 80, 112, 8, 40, 72, 104)(4, 36, 68, 100, 11, 43, 75, 107, 17, 49, 81, 113, 10, 42, 74, 106)(6, 38, 70, 102, 14, 46, 78, 110, 24, 56, 88, 120, 15, 47, 79, 111)(12, 44, 76, 108, 18, 50, 82, 114, 25, 57, 89, 121, 19, 51, 83, 115)(13, 45, 77, 109, 22, 54, 86, 118, 30, 62, 94, 126, 23, 55, 87, 119)(20, 52, 84, 116, 27, 59, 91, 123, 31, 63, 95, 127, 26, 58, 90, 122)(21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125)
	L = (1, 34)(2, 38)(3, 40)(4, 33)(5, 39)(6, 45)(7, 47)(8, 46)(9, 48)(10, 35)(11, 37)(12, 36)(13, 53)(14, 55)(15, 54)(16, 56)(17, 41)(18, 42)(19, 43)(20, 44)(21, 52)(22, 61)(23, 60)(24, 62)(25, 49)(26, 50)(27, 51)(28, 58)(29, 59)(30, 64)(31, 57)(32, 63)(65, 98)(66, 102)(67, 104)(68, 97)(69, 103)(70, 109)(71, 111)(72, 110)(73, 112)(74, 99)(75, 101)(76, 100)(77, 117)(78, 119)(79, 118)(80, 120)(81, 105)(82, 106)(83, 107)(84, 108)(85, 116)(86, 125)(87, 124)(88, 126)(89, 113)(90, 114)(91, 115)(92, 122)(93, 123)(94, 128)(95, 121)(96, 127)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.448
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.476 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3 * Y1^-3 * Y3 * Y1^-1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 27, 59, 91, 123, 14, 46, 78, 110)(6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 19, 51, 83, 115)(9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(11, 43, 75, 107, 17, 49, 81, 113, 16, 48, 80, 112, 28, 60, 92, 124)(13, 45, 77, 109, 23, 55, 87, 119, 31, 63, 95, 127, 20, 52, 84, 116)(22, 54, 86, 118, 29, 61, 93, 125, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 49)(7, 52)(8, 55)(9, 50)(10, 53)(11, 35)(12, 54)(13, 36)(14, 56)(15, 51)(16, 37)(17, 61)(18, 46)(19, 44)(20, 48)(21, 62)(22, 39)(23, 43)(24, 40)(25, 45)(26, 63)(27, 42)(28, 64)(29, 57)(30, 60)(31, 59)(32, 58)(65, 98)(66, 102)(67, 105)(68, 97)(69, 111)(70, 113)(71, 116)(72, 119)(73, 114)(74, 117)(75, 99)(76, 118)(77, 100)(78, 120)(79, 115)(80, 101)(81, 125)(82, 110)(83, 108)(84, 112)(85, 126)(86, 103)(87, 107)(88, 104)(89, 109)(90, 127)(91, 106)(92, 128)(93, 121)(94, 124)(95, 123)(96, 122)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.447
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.477 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C2 x QD16) : C2 (small group id <64, 141>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1^-1, (Y2^-1 * Y1)^2, Y1^2 * Y2 * Y1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3^4, Y2 * Y1^-2 * Y2, Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 24, 56, 88, 120, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 16, 48, 80, 112)(6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 17, 49, 81, 113)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 41)(4, 44)(5, 33)(6, 43)(7, 42)(8, 38)(9, 37)(10, 53)(11, 35)(12, 52)(13, 55)(14, 54)(15, 56)(16, 36)(17, 58)(18, 39)(19, 57)(20, 49)(21, 51)(22, 48)(23, 50)(24, 62)(25, 45)(26, 46)(27, 63)(28, 47)(29, 64)(30, 61)(31, 60)(32, 59)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 101)(73, 102)(74, 119)(75, 98)(76, 118)(77, 117)(78, 116)(79, 123)(80, 122)(81, 100)(82, 121)(83, 103)(84, 112)(85, 114)(86, 113)(87, 115)(88, 127)(89, 106)(90, 108)(91, 126)(92, 128)(93, 111)(94, 124)(95, 125)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.450
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.478 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C2 x QD16) : C2 (small group id <64, 141>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1^-1, (Y1^-1 * Y2)^2, Y2^-1 * Y1^-3, R * Y1 * R * Y2, Y1^-2 * Y2^2, Y1^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3^4, (Y2^-1, Y1), Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^2 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 24, 56, 88, 120, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 17, 49, 81, 113)(6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 45)(8, 38)(9, 37)(10, 55)(11, 35)(12, 54)(13, 53)(14, 52)(15, 56)(16, 36)(17, 58)(18, 57)(19, 39)(20, 49)(21, 50)(22, 48)(23, 51)(24, 62)(25, 42)(26, 44)(27, 63)(28, 47)(29, 64)(30, 61)(31, 60)(32, 59)(65, 99)(66, 105)(67, 104)(68, 108)(69, 107)(70, 97)(71, 106)(72, 101)(73, 102)(74, 117)(75, 98)(76, 116)(77, 119)(78, 118)(79, 123)(80, 122)(81, 100)(82, 103)(83, 121)(84, 112)(85, 115)(86, 113)(87, 114)(88, 127)(89, 109)(90, 110)(91, 126)(92, 128)(93, 111)(94, 124)(95, 125)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.449
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.479 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^2 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y2^-2 * Y3^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y1^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 26, 58, 90, 122, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 19, 51, 83, 115)(9, 41, 73, 105, 21, 53, 85, 117, 32, 64, 96, 128, 24, 56, 88, 120)(12, 44, 76, 108, 27, 59, 91, 123, 15, 47, 79, 111, 17, 49, 81, 113)(13, 45, 77, 109, 28, 60, 92, 124, 16, 48, 80, 112, 25, 57, 89, 121)(20, 52, 84, 116, 31, 63, 95, 127, 23, 55, 87, 119, 29, 61, 93, 125)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 50)(11, 51)(12, 53)(13, 36)(14, 54)(15, 56)(16, 37)(17, 61)(18, 45)(19, 48)(20, 42)(21, 39)(22, 62)(23, 43)(24, 40)(25, 41)(26, 46)(27, 63)(28, 64)(29, 57)(30, 59)(31, 60)(32, 58)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 121)(74, 116)(75, 119)(76, 100)(77, 114)(78, 122)(79, 101)(80, 115)(81, 102)(82, 106)(83, 107)(84, 103)(85, 108)(86, 110)(87, 104)(88, 111)(89, 125)(90, 128)(91, 126)(92, 127)(93, 113)(94, 118)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.451
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.480 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y1^2 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2 * Y3 * Y1 * Y3 * Y1^-2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-1, Y1^8, Y2^8, Y3 * Y1 * Y3^-2 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 26, 58, 90, 122, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 19, 51, 83, 115)(9, 41, 73, 105, 24, 56, 88, 120, 32, 64, 96, 128, 21, 53, 85, 117)(12, 44, 76, 108, 17, 49, 81, 113, 15, 47, 79, 111, 27, 59, 91, 123)(13, 45, 77, 109, 25, 57, 89, 121, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 31, 63, 95, 127)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 51)(11, 50)(12, 56)(13, 36)(14, 54)(15, 53)(16, 37)(17, 61)(18, 45)(19, 48)(20, 42)(21, 39)(22, 62)(23, 43)(24, 40)(25, 41)(26, 46)(27, 63)(28, 64)(29, 57)(30, 59)(31, 60)(32, 58)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 121)(74, 116)(75, 119)(76, 100)(77, 114)(78, 122)(79, 101)(80, 115)(81, 102)(82, 107)(83, 106)(84, 103)(85, 111)(86, 110)(87, 104)(88, 108)(89, 125)(90, 128)(91, 126)(92, 127)(93, 113)(94, 118)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.452
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.481 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 16, 48, 80, 112, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 20, 52, 84, 116, 11, 43, 75, 107)(6, 38, 70, 102, 14, 46, 78, 110, 24, 56, 88, 120, 15, 47, 79, 111)(9, 41, 73, 105, 18, 50, 82, 114, 27, 59, 91, 123, 19, 51, 83, 115)(13, 45, 77, 109, 22, 54, 86, 118, 30, 62, 94, 126, 23, 55, 87, 119)(17, 49, 81, 113, 25, 57, 89, 121, 31, 63, 95, 127, 26, 58, 90, 122)(21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125)
	L = (1, 34)(2, 38)(3, 33)(4, 42)(5, 43)(6, 45)(7, 36)(8, 37)(9, 35)(10, 50)(11, 51)(12, 48)(13, 53)(14, 39)(15, 40)(16, 56)(17, 41)(18, 57)(19, 58)(20, 44)(21, 49)(22, 46)(23, 47)(24, 62)(25, 60)(26, 61)(27, 52)(28, 54)(29, 55)(30, 64)(31, 59)(32, 63)(65, 99)(66, 97)(67, 105)(68, 103)(69, 104)(70, 98)(71, 110)(72, 111)(73, 113)(74, 100)(75, 101)(76, 116)(77, 102)(78, 118)(79, 119)(80, 108)(81, 117)(82, 106)(83, 107)(84, 123)(85, 109)(86, 124)(87, 125)(88, 112)(89, 114)(90, 115)(91, 127)(92, 121)(93, 122)(94, 120)(95, 128)(96, 126)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.453
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.482 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^-1 * Y1^-1, Y2^-1 * Y1^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, (Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y2^-1, (Y3 * Y1^-1)^2, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 12, 44, 76, 108, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 16, 48, 80, 112, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 20, 52, 84, 116, 11, 43, 75, 107)(6, 38, 70, 102, 14, 46, 78, 110, 24, 56, 88, 120, 15, 47, 79, 111)(9, 41, 73, 105, 18, 50, 82, 114, 27, 59, 91, 123, 19, 51, 83, 115)(13, 45, 77, 109, 22, 54, 86, 118, 30, 62, 94, 126, 23, 55, 87, 119)(17, 49, 81, 113, 25, 57, 89, 121, 31, 63, 95, 127, 26, 58, 90, 122)(21, 53, 85, 117, 28, 60, 92, 124, 32, 64, 96, 128, 29, 61, 93, 125)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 42)(6, 45)(7, 37)(8, 36)(9, 35)(10, 51)(11, 50)(12, 48)(13, 53)(14, 40)(15, 39)(16, 56)(17, 41)(18, 58)(19, 57)(20, 44)(21, 49)(22, 47)(23, 46)(24, 62)(25, 61)(26, 60)(27, 52)(28, 55)(29, 54)(30, 64)(31, 59)(32, 63)(65, 99)(66, 97)(67, 105)(68, 104)(69, 103)(70, 98)(71, 111)(72, 110)(73, 113)(74, 101)(75, 100)(76, 116)(77, 102)(78, 119)(79, 118)(80, 108)(81, 117)(82, 107)(83, 106)(84, 123)(85, 109)(86, 125)(87, 124)(88, 112)(89, 115)(90, 114)(91, 127)(92, 122)(93, 121)(94, 120)(95, 128)(96, 126)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.454
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.483 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y2 * Y1^-3, Y2^2 * Y1^-1 * Y2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^4, (R * Y3)^2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, Y3 * Y2^-2 * Y3^-1 * Y1^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 15, 47, 79, 111, 28, 60, 92, 124, 18, 50, 82, 114)(6, 38, 70, 102, 16, 48, 80, 112, 29, 61, 93, 125, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 24, 56, 88, 120, 32, 64, 96, 128, 26, 58, 90, 122)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 35)(9, 38)(10, 36)(11, 37)(12, 39)(13, 52)(14, 53)(15, 56)(16, 54)(17, 57)(18, 58)(19, 55)(20, 42)(21, 44)(22, 45)(23, 46)(24, 48)(25, 62)(26, 51)(27, 63)(28, 49)(29, 64)(30, 59)(31, 61)(32, 60)(65, 99)(66, 105)(67, 107)(68, 112)(69, 104)(70, 97)(71, 115)(72, 102)(73, 101)(74, 120)(75, 98)(76, 122)(77, 100)(78, 103)(79, 118)(80, 116)(81, 123)(82, 119)(83, 117)(84, 111)(85, 114)(86, 106)(87, 108)(88, 109)(89, 127)(90, 110)(91, 128)(92, 126)(93, 113)(94, 125)(95, 124)(96, 121)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.455
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.484 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-3, Y2^-2 * Y1 * Y2^-1, Y3^4, Y3 * Y2 * Y3 * Y1^-1, R * Y1 * R * Y2, Y2^2 * Y3 * Y2^2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 24, 56, 88, 120, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 17, 49, 81, 113)(6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 45)(8, 35)(9, 38)(10, 55)(11, 37)(12, 54)(13, 57)(14, 58)(15, 56)(16, 36)(17, 52)(18, 53)(19, 39)(20, 48)(21, 51)(22, 49)(23, 50)(24, 62)(25, 42)(26, 44)(27, 63)(28, 47)(29, 64)(30, 59)(31, 61)(32, 60)(65, 99)(66, 105)(67, 107)(68, 108)(69, 104)(70, 97)(71, 106)(72, 102)(73, 101)(74, 117)(75, 98)(76, 116)(77, 119)(78, 118)(79, 123)(80, 122)(81, 100)(82, 103)(83, 121)(84, 110)(85, 109)(86, 112)(87, 115)(88, 127)(89, 114)(90, 113)(91, 128)(92, 126)(93, 111)(94, 125)(95, 124)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.456
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.485 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2 * Y2, (Y2^-1 * Y1^-1)^2, Y3^4, Y1^-3 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 15, 47, 79, 111, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 24, 56, 88, 120, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 17, 49, 81, 113, 28, 60, 92, 124, 18, 50, 82, 114)(6, 38, 70, 102, 16, 48, 80, 112, 29, 61, 93, 125, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 25, 57, 89, 121, 32, 64, 96, 128, 26, 58, 90, 122)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 35)(9, 38)(10, 54)(11, 37)(12, 55)(13, 57)(14, 58)(15, 56)(16, 36)(17, 52)(18, 53)(19, 39)(20, 48)(21, 51)(22, 49)(23, 50)(24, 62)(25, 42)(26, 44)(27, 63)(28, 47)(29, 64)(30, 59)(31, 61)(32, 60)(65, 99)(66, 105)(67, 107)(68, 106)(69, 104)(70, 97)(71, 108)(72, 102)(73, 101)(74, 116)(75, 98)(76, 117)(77, 118)(78, 119)(79, 123)(80, 121)(81, 100)(82, 103)(83, 122)(84, 109)(85, 110)(86, 112)(87, 115)(88, 127)(89, 113)(90, 114)(91, 128)(92, 126)(93, 111)(94, 125)(95, 124)(96, 120)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.457
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.486 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1, Y2^2 * Y1^2, Y2 * Y1^-3, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y3^4, (Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 15, 47, 79, 111)(6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 24, 56, 88, 120)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 35)(9, 38)(10, 39)(11, 37)(12, 36)(13, 53)(14, 52)(15, 58)(16, 54)(17, 57)(18, 56)(19, 55)(20, 44)(21, 42)(22, 46)(23, 45)(24, 51)(25, 62)(26, 48)(27, 63)(28, 49)(29, 64)(30, 59)(31, 61)(32, 60)(65, 99)(66, 105)(67, 107)(68, 112)(69, 104)(70, 97)(71, 115)(72, 102)(73, 101)(74, 120)(75, 98)(76, 122)(77, 103)(78, 100)(79, 118)(80, 116)(81, 123)(82, 119)(83, 117)(84, 111)(85, 114)(86, 108)(87, 106)(88, 109)(89, 127)(90, 110)(91, 128)(92, 126)(93, 113)(94, 125)(95, 124)(96, 121)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.458
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y1^4, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 14, 46)(4, 36, 16, 48, 25, 57, 17, 49)(6, 38, 11, 43, 26, 58, 20, 52)(7, 39, 22, 54, 27, 59, 23, 55)(10, 42, 15, 47, 19, 51, 29, 61)(12, 44, 18, 50, 21, 53, 30, 62)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 71, 103, 79, 111, 82, 114)(69, 101, 78, 110, 95, 127, 84, 116)(72, 104, 88, 120, 96, 128, 90, 122)(74, 106, 76, 108, 81, 113, 87, 119)(80, 112, 86, 118, 83, 115, 85, 117)(89, 121, 91, 123, 93, 125, 94, 126)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 83)(6, 82)(7, 65)(8, 89)(9, 76)(10, 75)(11, 87)(12, 66)(13, 79)(14, 85)(15, 67)(16, 78)(17, 73)(18, 77)(19, 84)(20, 86)(21, 69)(22, 95)(23, 92)(24, 91)(25, 90)(26, 94)(27, 72)(28, 81)(29, 88)(30, 96)(31, 80)(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) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.537
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, Y2^4, (Y1, Y2^-1), (Y3, Y2), Y1 * Y3 * Y1^-1 * Y2 * Y3, Y1^-2 * Y2 * Y3^-2, Y2^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 18, 50, 15, 47)(4, 36, 17, 49, 16, 48, 19, 51)(6, 38, 11, 43, 27, 59, 22, 54)(7, 39, 25, 57, 20, 52, 26, 58)(10, 42, 29, 61, 21, 53, 24, 56)(12, 44, 30, 62, 23, 55, 14, 46)(13, 45, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 78, 110, 93, 125, 84, 116)(69, 101, 79, 111, 95, 127, 86, 118)(71, 103, 80, 112, 94, 126, 88, 120)(72, 104, 82, 114, 96, 128, 91, 123)(74, 106, 89, 121, 83, 115, 87, 119)(76, 108, 85, 117, 90, 122, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 84)(7, 65)(8, 80)(9, 89)(10, 79)(11, 87)(12, 66)(13, 93)(14, 96)(15, 90)(16, 67)(17, 75)(18, 94)(19, 86)(20, 72)(21, 73)(22, 76)(23, 69)(24, 70)(25, 95)(26, 92)(27, 71)(28, 83)(29, 91)(30, 77)(31, 81)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.538
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^4, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 13, 45, 7, 39)(5, 37, 11, 43, 14, 46, 8, 40)(10, 42, 15, 47, 21, 53, 17, 49)(12, 44, 16, 48, 22, 54, 19, 51)(18, 50, 25, 57, 28, 60, 23, 55)(20, 52, 27, 59, 29, 61, 24, 56)(26, 58, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 73, 105, 81, 113, 89, 121, 95, 127, 91, 123, 83, 115, 75, 107)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|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, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^3 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 29, 61, 27, 59)(16, 48, 24, 56, 30, 62, 25, 57)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 86, 118, 95, 127, 83, 115, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 79, 111, 92, 124, 75, 107, 88, 120, 72, 104)(68, 100, 76, 108, 91, 123, 78, 110, 90, 122, 73, 105, 89, 121, 77, 109)(70, 102, 81, 113, 93, 125, 87, 119, 96, 128, 85, 117, 94, 126, 82, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, (R * Y2)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 7, 39)(6, 38, 13, 45, 12, 44, 8, 40)(10, 42, 15, 47, 19, 51, 17, 49)(14, 46, 16, 48, 20, 52, 21, 53)(18, 50, 25, 57, 27, 59, 23, 55)(22, 54, 29, 61, 28, 60, 24, 56)(26, 58, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 86, 118, 78, 110, 70, 102)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 83, 115, 91, 123, 96, 128, 92, 124, 84, 116, 76, 108)(69, 101, 73, 105, 81, 113, 89, 121, 95, 127, 93, 125, 85, 117, 77, 109)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 76)(7, 73)(8, 77)(9, 71)(10, 83)(11, 67)(12, 70)(13, 72)(14, 84)(15, 81)(16, 85)(17, 79)(18, 91)(19, 74)(20, 78)(21, 80)(22, 92)(23, 89)(24, 93)(25, 87)(26, 96)(27, 82)(28, 86)(29, 88)(30, 95)(31, 94)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1 * Y2^3 * Y1, Y1^2 * Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 25, 57, 17, 49, 13, 45)(10, 42, 27, 59, 18, 50, 16, 48)(12, 44, 26, 58, 32, 64, 31, 63)(21, 53, 28, 60, 30, 62, 29, 61)(65, 97, 67, 99, 76, 108, 91, 123, 87, 119, 89, 121, 85, 117, 70, 102)(66, 98, 72, 104, 90, 122, 84, 116, 79, 111, 78, 110, 92, 124, 74, 106)(68, 100, 77, 109, 94, 126, 88, 120, 71, 103, 86, 118, 96, 128, 80, 112)(69, 101, 81, 113, 95, 127, 83, 115, 73, 105, 75, 107, 93, 125, 82, 114)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 75)(9, 66)(10, 83)(11, 72)(12, 94)(13, 67)(14, 81)(15, 69)(16, 70)(17, 78)(18, 84)(19, 74)(20, 82)(21, 96)(22, 89)(23, 71)(24, 91)(25, 86)(26, 93)(27, 88)(28, 95)(29, 90)(30, 76)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y3 * Y2^4, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 8, 40)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 16, 48, 20, 52, 10, 42)(12, 44, 21, 53, 29, 61, 25, 57)(13, 45, 26, 58, 30, 62, 22, 54)(15, 47, 27, 59, 31, 63, 23, 55)(17, 49, 24, 56, 32, 64, 28, 60)(65, 97, 67, 99, 76, 108, 79, 111, 68, 100, 77, 109, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 87, 119, 73, 105, 86, 118, 88, 120, 74, 106)(69, 101, 75, 107, 89, 121, 91, 123, 78, 110, 90, 122, 92, 124, 80, 112)(71, 103, 82, 114, 93, 125, 95, 127, 83, 115, 94, 126, 96, 128, 84, 116)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 90)(12, 81)(13, 67)(14, 69)(15, 70)(16, 91)(17, 76)(18, 94)(19, 71)(20, 95)(21, 88)(22, 72)(23, 74)(24, 85)(25, 92)(26, 75)(27, 80)(28, 89)(29, 96)(30, 82)(31, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-4 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y2, Y1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 13, 45, 17, 49, 26, 58)(10, 42, 16, 48, 18, 50, 27, 59)(12, 44, 25, 57, 31, 63, 30, 62)(21, 53, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 76, 108, 80, 112, 68, 100, 77, 109, 85, 117, 70, 102)(66, 98, 72, 104, 89, 121, 84, 116, 73, 105, 78, 110, 92, 124, 74, 106)(69, 101, 81, 113, 94, 126, 83, 115, 79, 111, 75, 107, 93, 125, 82, 114)(71, 103, 86, 118, 95, 127, 91, 123, 87, 119, 90, 122, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 78)(9, 66)(10, 84)(11, 81)(12, 85)(13, 67)(14, 72)(15, 69)(16, 70)(17, 75)(18, 83)(19, 82)(20, 74)(21, 76)(22, 90)(23, 71)(24, 91)(25, 92)(26, 86)(27, 88)(28, 89)(29, 94)(30, 93)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^2 * Y3 * Y2^3, Y2 * Y3 * Y2 * Y1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 8, 40)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 16, 48, 20, 52, 10, 42)(12, 44, 21, 53, 30, 62, 25, 57)(13, 45, 26, 58, 32, 64, 22, 54)(15, 47, 29, 61, 27, 59, 23, 55)(17, 49, 24, 56, 28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 91, 123, 83, 115, 96, 128, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 93, 125, 78, 110, 90, 122, 88, 120, 74, 106)(68, 100, 77, 109, 92, 124, 84, 116, 71, 103, 82, 114, 94, 126, 79, 111)(69, 101, 75, 107, 89, 121, 87, 119, 73, 105, 86, 118, 95, 127, 80, 112)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 90)(12, 92)(13, 67)(14, 69)(15, 70)(16, 93)(17, 94)(18, 96)(19, 71)(20, 91)(21, 95)(22, 72)(23, 74)(24, 89)(25, 88)(26, 75)(27, 84)(28, 76)(29, 80)(30, 81)(31, 85)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 20, 52, 27, 59, 28, 60)(18, 50, 24, 56, 30, 62, 25, 57)(26, 58, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 74, 106, 86, 118, 95, 127, 83, 115, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 81, 113, 93, 125, 76, 108, 88, 120, 72, 104)(68, 100, 75, 107, 91, 123, 87, 119, 96, 128, 85, 117, 94, 126, 77, 109)(69, 101, 78, 110, 92, 124, 80, 112, 90, 122, 73, 105, 89, 121, 79, 111)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 91)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 94)(19, 85)(20, 92)(21, 83)(22, 87)(23, 86)(24, 89)(25, 88)(26, 93)(27, 74)(28, 84)(29, 90)(30, 82)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 20, 52, 16, 48)(7, 39, 11, 43, 21, 53, 18, 50)(12, 44, 19, 51, 24, 56, 26, 58)(14, 46, 17, 49, 23, 55, 27, 59)(15, 47, 22, 54, 30, 62, 28, 60)(25, 57, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 78, 110, 80, 112, 91, 123, 84, 116, 87, 119, 73, 105, 81, 113)(71, 103, 76, 108, 82, 114, 90, 122, 85, 117, 88, 120, 75, 107, 83, 115)(79, 111, 89, 121, 92, 124, 96, 128, 94, 126, 95, 127, 86, 118, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 83)(7, 65)(8, 84)(9, 86)(10, 88)(11, 66)(12, 89)(13, 90)(14, 67)(15, 71)(16, 92)(17, 70)(18, 69)(19, 93)(20, 94)(21, 72)(22, 75)(23, 74)(24, 95)(25, 78)(26, 96)(27, 77)(28, 82)(29, 81)(30, 85)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.504
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 17, 49, 6, 38)(4, 36, 10, 42, 20, 52, 15, 47)(7, 39, 11, 43, 21, 53, 18, 50)(12, 44, 22, 54, 29, 61, 19, 51)(13, 45, 23, 55, 28, 60, 16, 48)(14, 46, 24, 56, 30, 62, 26, 58)(25, 57, 31, 63, 32, 64, 27, 59)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 81, 113, 69, 101, 70, 102)(68, 100, 77, 109, 74, 106, 87, 119, 84, 116, 92, 124, 79, 111, 80, 112)(71, 103, 76, 108, 75, 107, 86, 118, 85, 117, 93, 125, 82, 114, 83, 115)(78, 110, 89, 121, 88, 120, 95, 127, 94, 126, 96, 128, 90, 122, 91, 123)
	L = (1, 68)(2, 74)(3, 76)(4, 78)(5, 79)(6, 83)(7, 65)(8, 84)(9, 86)(10, 88)(11, 66)(12, 89)(13, 67)(14, 71)(15, 90)(16, 70)(17, 93)(18, 69)(19, 91)(20, 94)(21, 72)(22, 95)(23, 73)(24, 75)(25, 77)(26, 82)(27, 80)(28, 81)(29, 96)(30, 85)(31, 87)(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, 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 E21.502
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3^4, (Y1^-1, Y3), Y2 * Y1 * Y3^-2 * Y2, Y2 * Y3^-1 * Y2 * Y3 * Y1, R * Y2 * R * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 15, 47)(4, 36, 10, 42, 25, 57, 18, 50)(6, 38, 11, 43, 26, 58, 20, 52)(7, 39, 12, 44, 27, 59, 21, 53)(13, 45, 17, 49, 23, 55, 30, 62)(14, 46, 19, 51, 28, 60, 31, 63)(16, 48, 22, 54, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 90, 122, 72, 104, 88, 120, 87, 119, 70, 102)(66, 98, 73, 105, 81, 113, 84, 116, 69, 101, 79, 111, 94, 126, 75, 107)(68, 100, 80, 112, 85, 117, 95, 127, 89, 121, 93, 125, 76, 108, 83, 115)(71, 103, 78, 110, 82, 114, 96, 128, 91, 123, 92, 124, 74, 106, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 86)(7, 65)(8, 89)(9, 83)(10, 87)(11, 93)(12, 66)(13, 85)(14, 84)(15, 95)(16, 67)(17, 71)(18, 77)(19, 70)(20, 80)(21, 69)(22, 73)(23, 76)(24, 92)(25, 94)(26, 96)(27, 72)(28, 75)(29, 88)(30, 91)(31, 90)(32, 79)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.501
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3 * Y2, (Y1^-1, Y2), (R * Y3)^2, (Y1, Y3), (R * Y1)^2, Y3^4, Y1^4, Y2 * Y1^-1 * R * Y2^-1 * R, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 24, 56, 15, 47)(4, 36, 10, 42, 25, 57, 18, 50)(6, 38, 11, 43, 26, 58, 20, 52)(7, 39, 12, 44, 27, 59, 21, 53)(13, 45, 28, 60, 23, 55, 17, 49)(14, 46, 29, 61, 31, 63, 19, 51)(16, 48, 30, 62, 32, 64, 22, 54)(65, 97, 67, 99, 77, 109, 90, 122, 72, 104, 88, 120, 87, 119, 70, 102)(66, 98, 73, 105, 92, 124, 84, 116, 69, 101, 79, 111, 81, 113, 75, 107)(68, 100, 80, 112, 76, 108, 93, 125, 89, 121, 96, 128, 85, 117, 83, 115)(71, 103, 78, 110, 74, 106, 94, 126, 91, 123, 95, 127, 82, 114, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 86)(7, 65)(8, 89)(9, 93)(10, 77)(11, 80)(12, 66)(13, 76)(14, 75)(15, 83)(16, 67)(17, 71)(18, 87)(19, 70)(20, 96)(21, 69)(22, 79)(23, 85)(24, 95)(25, 92)(26, 94)(27, 72)(28, 91)(29, 90)(30, 73)(31, 84)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.503
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^2 * Y1 * Y3^-1, (Y1, Y3^-1), Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y3 * Y2^-2, Y1^4, Y2 * Y1 * Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 16, 48)(4, 36, 10, 42, 23, 55, 14, 46)(6, 38, 21, 53, 24, 56, 17, 49)(7, 39, 12, 44, 25, 57, 20, 52)(9, 41, 26, 58, 19, 51, 27, 59)(11, 43, 30, 62, 15, 47, 28, 60)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 94, 126, 96, 128, 90, 122, 76, 108, 70, 102)(66, 98, 73, 105, 68, 100, 81, 113, 95, 127, 80, 112, 89, 121, 75, 107)(69, 101, 83, 115, 87, 119, 85, 117, 93, 125, 77, 109, 71, 103, 79, 111)(72, 104, 86, 118, 74, 106, 92, 124, 82, 114, 91, 123, 84, 116, 88, 120)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 78)(6, 77)(7, 65)(8, 87)(9, 70)(10, 93)(11, 90)(12, 66)(13, 92)(14, 95)(15, 91)(16, 94)(17, 67)(18, 71)(19, 88)(20, 69)(21, 86)(22, 75)(23, 96)(24, 80)(25, 72)(26, 85)(27, 81)(28, 73)(29, 76)(30, 83)(31, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.499
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (Y1, Y3^-1), Y2^2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^2, (R * Y3)^2, Y1^4, Y2 * Y3 * Y2^-1 * Y3, Y3^4, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1^-2 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 14, 46)(4, 36, 10, 42, 23, 55, 17, 49)(6, 38, 15, 47, 24, 56, 21, 53)(7, 39, 12, 44, 25, 57, 20, 52)(9, 41, 26, 58, 18, 50, 27, 59)(11, 43, 28, 60, 19, 51, 30, 62)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 92, 124, 96, 128, 90, 122, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 85, 117, 95, 127, 78, 110, 71, 103, 75, 107)(68, 100, 79, 111, 93, 125, 77, 109, 89, 121, 83, 115, 69, 101, 82, 114)(72, 104, 86, 118, 81, 113, 94, 126, 80, 112, 91, 123, 76, 108, 88, 120)
	L = (1, 68)(2, 74)(3, 75)(4, 80)(5, 81)(6, 78)(7, 65)(8, 87)(9, 88)(10, 93)(11, 91)(12, 66)(13, 92)(14, 94)(15, 67)(16, 71)(17, 95)(18, 70)(19, 90)(20, 69)(21, 86)(22, 83)(23, 96)(24, 77)(25, 72)(26, 85)(27, 79)(28, 73)(29, 76)(30, 82)(31, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.498
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), Y3^-1 * Y2 * Y1^-1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, Y3 * Y2^2 * Y1^-1, Y1^4, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 15, 47)(4, 36, 10, 42, 23, 55, 17, 49)(6, 38, 14, 46, 24, 56, 21, 53)(7, 39, 12, 44, 25, 57, 20, 52)(9, 41, 26, 58, 18, 50, 28, 60)(11, 43, 27, 59, 19, 51, 30, 62)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 76, 108, 91, 123, 96, 128, 90, 122, 81, 113, 70, 102)(66, 98, 73, 105, 89, 121, 85, 117, 95, 127, 79, 111, 68, 100, 75, 107)(69, 101, 82, 114, 71, 103, 78, 110, 93, 125, 77, 109, 87, 119, 83, 115)(72, 104, 86, 118, 84, 116, 94, 126, 80, 112, 92, 124, 74, 106, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 82)(7, 65)(8, 87)(9, 91)(10, 93)(11, 67)(12, 66)(13, 88)(14, 92)(15, 70)(16, 71)(17, 95)(18, 94)(19, 86)(20, 69)(21, 90)(22, 85)(23, 96)(24, 73)(25, 72)(26, 83)(27, 77)(28, 75)(29, 76)(30, 79)(31, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.500
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2, Y2^2 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3, (R * Y3)^2, (Y1^-1, Y3^-1), Y3^4, Y1^4, (R * Y1)^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y1^-1, Y3^-1 * Y1^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 16, 48)(4, 36, 10, 42, 23, 55, 19, 51)(6, 38, 21, 53, 24, 56, 15, 47)(7, 39, 12, 44, 25, 57, 14, 46)(9, 41, 26, 58, 20, 52, 28, 60)(11, 43, 30, 62, 17, 49, 27, 59)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 94, 126, 96, 128, 90, 122, 74, 106, 70, 102)(66, 98, 73, 105, 71, 103, 79, 111, 95, 127, 80, 112, 87, 119, 75, 107)(68, 100, 81, 113, 69, 101, 84, 116, 89, 121, 85, 117, 93, 125, 77, 109)(72, 104, 86, 118, 76, 108, 91, 123, 82, 114, 92, 124, 83, 115, 88, 120)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 73)(7, 65)(8, 87)(9, 91)(10, 93)(11, 86)(12, 66)(13, 70)(14, 69)(15, 92)(16, 88)(17, 67)(18, 71)(19, 95)(20, 94)(21, 90)(22, 85)(23, 96)(24, 84)(25, 72)(26, 75)(27, 77)(28, 81)(29, 76)(30, 80)(31, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.497
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (R * Y3)^2, Y3^4, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y3^-1, Y1), Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 9, 41)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 18, 50, 22, 54, 11, 43)(7, 39, 12, 44, 23, 55, 19, 51)(14, 46, 27, 59, 30, 62, 24, 56)(15, 47, 25, 57, 31, 63, 28, 60)(17, 49, 29, 61, 32, 64, 26, 58)(65, 97, 67, 99, 71, 103, 78, 110, 79, 111, 81, 113, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 88, 120, 89, 121, 90, 122, 74, 106, 75, 107)(69, 101, 77, 109, 83, 115, 91, 123, 92, 124, 93, 125, 80, 112, 82, 114)(72, 104, 84, 116, 87, 119, 94, 126, 95, 127, 96, 128, 85, 117, 86, 118)
	L = (1, 68)(2, 74)(3, 70)(4, 79)(5, 80)(6, 81)(7, 65)(8, 85)(9, 75)(10, 89)(11, 90)(12, 66)(13, 82)(14, 67)(15, 71)(16, 92)(17, 78)(18, 93)(19, 69)(20, 86)(21, 95)(22, 96)(23, 72)(24, 73)(25, 76)(26, 88)(27, 77)(28, 83)(29, 91)(30, 84)(31, 87)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.506
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (R * Y3)^2, (Y1, Y3^-1), (R * Y2)^2, Y3^4, (R * Y1)^2, Y1^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 14, 46)(4, 36, 10, 42, 25, 57, 17, 49)(6, 38, 22, 54, 26, 58, 23, 55)(7, 39, 12, 44, 27, 59, 21, 53)(9, 41, 18, 50, 19, 51, 28, 60)(11, 43, 15, 47, 20, 52, 30, 62)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 71, 103, 79, 111, 80, 112, 82, 114, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 87, 119, 93, 125, 78, 110, 74, 106, 75, 107)(69, 101, 83, 115, 85, 117, 86, 118, 95, 127, 77, 109, 81, 113, 84, 116)(72, 104, 88, 120, 91, 123, 94, 126, 96, 128, 92, 124, 89, 121, 90, 122)
	L = (1, 68)(2, 74)(3, 70)(4, 80)(5, 81)(6, 82)(7, 65)(8, 89)(9, 75)(10, 93)(11, 78)(12, 66)(13, 86)(14, 87)(15, 67)(16, 71)(17, 95)(18, 79)(19, 84)(20, 77)(21, 69)(22, 83)(23, 73)(24, 90)(25, 96)(26, 92)(27, 72)(28, 94)(29, 76)(30, 88)(31, 85)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.505
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1 * Y2 * Y1 * Y2^-1, Y3^4, (R * Y2)^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 9, 41)(4, 36, 10, 42, 21, 53, 16, 48)(6, 38, 17, 49, 22, 54, 11, 43)(7, 39, 12, 44, 23, 55, 18, 50)(14, 46, 27, 59, 30, 62, 24, 56)(15, 47, 25, 57, 31, 63, 28, 60)(19, 51, 29, 61, 32, 64, 26, 58)(65, 97, 67, 99, 68, 100, 78, 110, 79, 111, 83, 115, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 88, 120, 89, 121, 90, 122, 76, 108, 75, 107)(69, 101, 77, 109, 80, 112, 91, 123, 92, 124, 93, 125, 82, 114, 81, 113)(72, 104, 84, 116, 85, 117, 94, 126, 95, 127, 96, 128, 87, 119, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 79)(5, 80)(6, 67)(7, 65)(8, 85)(9, 88)(10, 89)(11, 73)(12, 66)(13, 91)(14, 83)(15, 71)(16, 92)(17, 77)(18, 69)(19, 70)(20, 94)(21, 95)(22, 84)(23, 72)(24, 90)(25, 76)(26, 75)(27, 93)(28, 82)(29, 81)(30, 96)(31, 87)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.508
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, Y1^4, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 15, 47)(4, 36, 10, 42, 25, 57, 17, 49)(6, 38, 21, 53, 26, 58, 22, 54)(7, 39, 12, 44, 27, 59, 20, 52)(9, 41, 23, 55, 18, 50, 28, 60)(11, 43, 14, 46, 19, 51, 30, 62)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 68, 100, 78, 110, 80, 112, 87, 119, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 86, 118, 93, 125, 79, 111, 76, 108, 75, 107)(69, 101, 82, 114, 81, 113, 85, 117, 95, 127, 77, 109, 84, 116, 83, 115)(72, 104, 88, 120, 89, 121, 94, 126, 96, 128, 92, 124, 91, 123, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 67)(7, 65)(8, 89)(9, 86)(10, 93)(11, 73)(12, 66)(13, 83)(14, 87)(15, 75)(16, 71)(17, 95)(18, 85)(19, 82)(20, 69)(21, 77)(22, 79)(23, 70)(24, 94)(25, 96)(26, 88)(27, 72)(28, 90)(29, 76)(30, 92)(31, 84)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.507
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y2)^2, (Y3^-1, Y1^-1), Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2^-1, Y3^-1), Y3^4, Y2 * Y1^-1 * Y2 * Y3 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y2^-4 * Y3^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 9, 41)(4, 36, 10, 42, 22, 54, 18, 50)(6, 38, 20, 52, 15, 47, 11, 43)(7, 39, 12, 44, 14, 46, 21, 53)(16, 48, 27, 59, 28, 60, 24, 56)(17, 49, 25, 57, 29, 61, 31, 63)(19, 51, 32, 64, 30, 62, 26, 58)(65, 97, 67, 99, 78, 110, 92, 124, 81, 113, 94, 126, 86, 118, 70, 102)(66, 98, 73, 105, 85, 117, 91, 123, 89, 121, 96, 128, 82, 114, 75, 107)(68, 100, 79, 111, 72, 104, 87, 119, 71, 103, 80, 112, 93, 125, 83, 115)(69, 101, 77, 109, 76, 108, 88, 120, 95, 127, 90, 122, 74, 106, 84, 116)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 82)(6, 83)(7, 65)(8, 86)(9, 84)(10, 89)(11, 90)(12, 66)(13, 75)(14, 72)(15, 94)(16, 67)(17, 71)(18, 95)(19, 92)(20, 96)(21, 69)(22, 93)(23, 70)(24, 73)(25, 76)(26, 91)(27, 77)(28, 87)(29, 78)(30, 80)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E21.510
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y3, Y2), Y2^2 * Y3^-1 * Y1^-2, Y2^-1 * Y3 * Y1^-2 * Y2^-1, Y3 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 16, 48)(4, 36, 10, 42, 14, 46, 19, 51)(6, 38, 24, 56, 17, 49, 25, 57)(7, 39, 12, 44, 26, 58, 23, 55)(9, 41, 28, 60, 21, 53, 27, 59)(11, 43, 30, 62, 22, 54, 15, 47)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 92, 124, 90, 122, 70, 102)(66, 98, 73, 105, 83, 115, 89, 121, 93, 125, 80, 112, 87, 119, 75, 107)(68, 100, 79, 111, 96, 128, 91, 123, 71, 103, 81, 113, 72, 104, 84, 116)(69, 101, 85, 117, 74, 106, 88, 120, 95, 127, 77, 109, 76, 108, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 78)(9, 88)(10, 93)(11, 85)(12, 66)(13, 75)(14, 96)(15, 92)(16, 86)(17, 67)(18, 71)(19, 95)(20, 94)(21, 89)(22, 73)(23, 69)(24, 80)(25, 77)(26, 72)(27, 70)(28, 81)(29, 76)(30, 91)(31, 87)(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, 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 E21.509
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y1^4, (R * Y2)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1, Y3^-2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 19, 51, 9, 41)(4, 36, 10, 42, 14, 46, 18, 50)(6, 38, 20, 52, 16, 48, 11, 43)(7, 39, 12, 44, 22, 54, 21, 53)(15, 47, 27, 59, 28, 60, 24, 56)(17, 49, 25, 57, 29, 61, 31, 63)(23, 55, 32, 64, 30, 62, 26, 58)(65, 97, 67, 99, 78, 110, 92, 124, 81, 113, 94, 126, 86, 118, 70, 102)(66, 98, 73, 105, 82, 114, 91, 123, 89, 121, 96, 128, 85, 117, 75, 107)(68, 100, 79, 111, 93, 125, 87, 119, 71, 103, 80, 112, 72, 104, 83, 115)(69, 101, 77, 109, 74, 106, 88, 120, 95, 127, 90, 122, 76, 108, 84, 116)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 82)(6, 83)(7, 65)(8, 78)(9, 88)(10, 89)(11, 77)(12, 66)(13, 91)(14, 93)(15, 94)(16, 67)(17, 71)(18, 95)(19, 92)(20, 73)(21, 69)(22, 72)(23, 70)(24, 96)(25, 76)(26, 75)(27, 90)(28, 87)(29, 86)(30, 80)(31, 85)(32, 84)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.512
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, (Y3, Y1), Y3^4, (Y3, Y2), Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y3 * Y2^2 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1, Y3 * Y1^2 * Y2^2, Y3^-2 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 27, 59, 16, 48)(4, 36, 10, 42, 26, 58, 19, 51)(6, 38, 24, 56, 15, 47, 25, 57)(7, 39, 12, 44, 14, 46, 23, 55)(9, 41, 28, 60, 21, 53, 20, 52)(11, 43, 30, 62, 22, 54, 17, 49)(18, 50, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 92, 124, 90, 122, 70, 102)(66, 98, 73, 105, 87, 119, 89, 121, 93, 125, 80, 112, 83, 115, 75, 107)(68, 100, 79, 111, 72, 104, 91, 123, 71, 103, 81, 113, 96, 128, 84, 116)(69, 101, 85, 117, 76, 108, 88, 120, 95, 127, 77, 109, 74, 106, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 90)(9, 86)(10, 93)(11, 77)(12, 66)(13, 89)(14, 72)(15, 92)(16, 88)(17, 67)(18, 71)(19, 95)(20, 94)(21, 75)(22, 80)(23, 69)(24, 73)(25, 85)(26, 96)(27, 70)(28, 81)(29, 76)(30, 91)(31, 87)(32, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.511
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, Y3 * Y2 * Y1 * Y2, (Y3, Y1), Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^4, Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 9, 41)(4, 36, 10, 42, 23, 55, 17, 49)(6, 38, 14, 46, 24, 56, 11, 43)(7, 39, 12, 44, 25, 57, 19, 51)(15, 47, 30, 62, 21, 53, 26, 58)(16, 48, 27, 59, 32, 64, 31, 63)(18, 50, 29, 61, 20, 52, 28, 60)(65, 97, 67, 99, 76, 108, 94, 126, 96, 128, 93, 125, 81, 113, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 95, 127, 82, 114, 68, 100, 75, 107)(69, 101, 77, 109, 71, 103, 85, 117, 91, 123, 84, 116, 87, 119, 78, 110)(72, 104, 86, 118, 83, 115, 90, 122, 80, 112, 92, 124, 74, 106, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 84)(7, 65)(8, 87)(9, 70)(10, 91)(11, 93)(12, 66)(13, 88)(14, 92)(15, 67)(16, 71)(17, 95)(18, 94)(19, 69)(20, 90)(21, 86)(22, 75)(23, 96)(24, 82)(25, 72)(26, 73)(27, 76)(28, 79)(29, 85)(30, 77)(31, 83)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.520
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-1 * Y3^-1, Y2 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^4, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2^-1 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 9, 41)(4, 36, 10, 42, 23, 55, 18, 50)(6, 38, 16, 48, 24, 56, 11, 43)(7, 39, 12, 44, 25, 57, 14, 46)(15, 47, 30, 62, 21, 53, 26, 58)(17, 49, 27, 59, 32, 64, 31, 63)(19, 51, 29, 61, 20, 52, 28, 60)(65, 97, 67, 99, 78, 110, 90, 122, 96, 128, 92, 124, 74, 106, 70, 102)(66, 98, 73, 105, 71, 103, 85, 117, 95, 127, 84, 116, 87, 119, 75, 107)(68, 100, 80, 112, 69, 101, 77, 109, 89, 121, 79, 111, 91, 123, 83, 115)(72, 104, 86, 118, 76, 108, 94, 126, 81, 113, 93, 125, 82, 114, 88, 120)
	L = (1, 68)(2, 74)(3, 75)(4, 81)(5, 82)(6, 84)(7, 65)(8, 87)(9, 88)(10, 91)(11, 93)(12, 66)(13, 70)(14, 69)(15, 67)(16, 92)(17, 71)(18, 95)(19, 90)(20, 94)(21, 86)(22, 80)(23, 96)(24, 83)(25, 72)(26, 73)(27, 76)(28, 85)(29, 79)(30, 77)(31, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.516
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, Y1^4, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^4, Y2 * Y1^-1 * Y3 * Y2 * Y3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 24, 56, 17, 49)(7, 39, 11, 43, 25, 57, 19, 51)(12, 44, 20, 52, 22, 54, 23, 55)(14, 46, 21, 53, 15, 47, 18, 50)(16, 48, 26, 58, 32, 64, 29, 61)(27, 59, 30, 62, 28, 60, 31, 63)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 79, 111, 81, 113, 85, 117, 88, 120, 78, 110, 73, 105, 82, 114)(71, 103, 86, 118, 83, 115, 84, 116, 89, 121, 76, 108, 75, 107, 87, 119)(80, 112, 91, 123, 93, 125, 95, 127, 96, 128, 92, 124, 90, 122, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 81)(6, 84)(7, 65)(8, 88)(9, 90)(10, 86)(11, 66)(12, 91)(13, 87)(14, 67)(15, 74)(16, 71)(17, 93)(18, 77)(19, 69)(20, 94)(21, 70)(22, 92)(23, 95)(24, 96)(25, 72)(26, 75)(27, 78)(28, 79)(29, 83)(30, 85)(31, 82)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.518
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2, (R * Y1)^2, Y1^4, (Y3^-1, Y1), Y3^4, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 18, 50, 6, 38)(4, 36, 10, 42, 24, 56, 16, 48)(7, 39, 11, 43, 25, 57, 19, 51)(12, 44, 23, 55, 22, 54, 20, 52)(13, 45, 17, 49, 14, 46, 21, 53)(15, 47, 26, 58, 32, 64, 29, 61)(27, 59, 31, 63, 28, 60, 30, 62)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 82, 114, 69, 101, 70, 102)(68, 100, 78, 110, 74, 106, 85, 117, 88, 120, 77, 109, 80, 112, 81, 113)(71, 103, 86, 118, 75, 107, 84, 116, 89, 121, 76, 108, 83, 115, 87, 119)(79, 111, 91, 123, 90, 122, 95, 127, 96, 128, 92, 124, 93, 125, 94, 126)
	L = (1, 68)(2, 74)(3, 76)(4, 79)(5, 80)(6, 84)(7, 65)(8, 88)(9, 87)(10, 90)(11, 66)(12, 91)(13, 67)(14, 82)(15, 71)(16, 93)(17, 73)(18, 86)(19, 69)(20, 94)(21, 70)(22, 92)(23, 95)(24, 96)(25, 72)(26, 75)(27, 77)(28, 78)(29, 83)(30, 85)(31, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.514
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2^-2, (R * Y3)^2, Y3^4, Y1^4, (Y1, Y3), (R * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 9, 41)(4, 36, 10, 42, 23, 55, 14, 46)(6, 38, 18, 50, 24, 56, 11, 43)(7, 39, 12, 44, 25, 57, 19, 51)(15, 47, 27, 59, 16, 48, 26, 58)(17, 49, 28, 60, 32, 64, 31, 63)(20, 52, 30, 62, 21, 53, 29, 61)(65, 97, 67, 99, 78, 110, 90, 122, 96, 128, 94, 126, 76, 108, 70, 102)(66, 98, 73, 105, 68, 100, 80, 112, 95, 127, 84, 116, 89, 121, 75, 107)(69, 101, 77, 109, 87, 119, 79, 111, 92, 124, 85, 117, 71, 103, 82, 114)(72, 104, 86, 118, 74, 106, 91, 123, 81, 113, 93, 125, 83, 115, 88, 120)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 78)(6, 77)(7, 65)(8, 87)(9, 90)(10, 92)(11, 67)(12, 66)(13, 91)(14, 95)(15, 93)(16, 94)(17, 71)(18, 86)(19, 69)(20, 70)(21, 88)(22, 80)(23, 96)(24, 73)(25, 72)(26, 85)(27, 84)(28, 76)(29, 75)(30, 82)(31, 83)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.519
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1, Y1), Y2^-2 * Y1 * Y3, Y1^4, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 9, 41)(4, 36, 10, 42, 23, 55, 18, 50)(6, 38, 15, 47, 24, 56, 11, 43)(7, 39, 12, 44, 25, 57, 19, 51)(14, 46, 27, 59, 16, 48, 26, 58)(17, 49, 28, 60, 32, 64, 31, 63)(20, 52, 30, 62, 21, 53, 29, 61)(65, 97, 67, 99, 74, 106, 91, 123, 96, 128, 93, 125, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 78, 110, 95, 127, 85, 117, 71, 103, 75, 107)(68, 100, 80, 112, 92, 124, 84, 116, 89, 121, 79, 111, 69, 101, 77, 109)(72, 104, 86, 118, 82, 114, 90, 122, 81, 113, 94, 126, 76, 108, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 73)(7, 65)(8, 87)(9, 90)(10, 92)(11, 86)(12, 66)(13, 91)(14, 94)(15, 67)(16, 93)(17, 71)(18, 95)(19, 69)(20, 70)(21, 88)(22, 80)(23, 96)(24, 77)(25, 72)(26, 84)(27, 85)(28, 76)(29, 75)(30, 79)(31, 83)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.515
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y1^-4, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y1^4, Y3^4, Y3 * Y2^2 * Y1^-1 * Y3, R * Y2 * R * Y1^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3, Y3 * Y1 * Y3 * Y2^-2, Y1^-1 * Y2 * Y3^-2 * Y2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1, Y1^2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 28, 60, 15, 47)(4, 36, 10, 42, 29, 61, 19, 51)(6, 38, 11, 43, 30, 62, 21, 53)(7, 39, 12, 44, 31, 63, 22, 54)(13, 45, 32, 64, 24, 56, 18, 50)(14, 46, 20, 52, 26, 58, 25, 57)(16, 48, 27, 59, 17, 49, 23, 55)(65, 97, 67, 99, 77, 109, 94, 126, 72, 104, 92, 124, 88, 120, 70, 102)(66, 98, 73, 105, 96, 128, 85, 117, 69, 101, 79, 111, 82, 114, 75, 107)(68, 100, 81, 113, 76, 108, 89, 121, 93, 125, 80, 112, 86, 118, 84, 116)(71, 103, 90, 122, 74, 106, 87, 119, 95, 127, 78, 110, 83, 115, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 87)(7, 65)(8, 93)(9, 84)(10, 77)(11, 80)(12, 66)(13, 76)(14, 75)(15, 89)(16, 67)(17, 92)(18, 71)(19, 88)(20, 94)(21, 81)(22, 69)(23, 79)(24, 86)(25, 70)(26, 85)(27, 73)(28, 90)(29, 96)(30, 91)(31, 72)(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) :: { ( 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 E21.517
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^4, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y2^2 * Y3^-1, Y2 * Y1 * Y3^2 * Y2, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 28, 60, 15, 47)(4, 36, 10, 42, 29, 61, 19, 51)(6, 38, 11, 43, 30, 62, 21, 53)(7, 39, 12, 44, 31, 63, 22, 54)(13, 45, 18, 50, 24, 56, 32, 64)(14, 46, 25, 57, 26, 58, 20, 52)(16, 48, 23, 55, 17, 49, 27, 59)(65, 97, 67, 99, 77, 109, 94, 126, 72, 104, 92, 124, 88, 120, 70, 102)(66, 98, 73, 105, 82, 114, 85, 117, 69, 101, 79, 111, 96, 128, 75, 107)(68, 100, 81, 113, 86, 118, 89, 121, 93, 125, 80, 112, 76, 108, 84, 116)(71, 103, 90, 122, 83, 115, 87, 119, 95, 127, 78, 110, 74, 106, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 87)(7, 65)(8, 93)(9, 89)(10, 88)(11, 81)(12, 66)(13, 86)(14, 85)(15, 84)(16, 67)(17, 92)(18, 71)(19, 77)(20, 94)(21, 80)(22, 69)(23, 73)(24, 76)(25, 70)(26, 75)(27, 79)(28, 90)(29, 96)(30, 91)(31, 72)(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) :: { ( 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 E21.513
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 8, 40, 13, 45, 10, 42)(5, 37, 7, 39, 14, 46, 11, 43)(9, 41, 16, 48, 21, 53, 18, 50)(12, 44, 15, 47, 22, 54, 19, 51)(17, 49, 24, 56, 28, 60, 26, 58)(20, 52, 23, 55, 29, 61, 27, 59)(25, 57, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 75, 107, 83, 115, 91, 123, 95, 127, 90, 122, 82, 114, 74, 106)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y3 * Y2^4, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 8, 40, 20, 52, 16, 48)(11, 43, 24, 56, 29, 61, 25, 57)(12, 44, 23, 55, 30, 62, 26, 58)(15, 47, 22, 54, 31, 63, 27, 59)(17, 49, 21, 53, 32, 64, 28, 60)(65, 97, 67, 99, 75, 107, 79, 111, 68, 100, 76, 108, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 87, 119, 73, 105, 86, 118, 88, 120, 74, 106)(69, 101, 80, 112, 92, 124, 90, 122, 78, 110, 91, 123, 89, 121, 77, 109)(71, 103, 82, 114, 93, 125, 95, 127, 83, 115, 94, 126, 96, 128, 84, 116)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 81)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 75)(18, 94)(19, 71)(20, 95)(21, 88)(22, 72)(23, 74)(24, 85)(25, 92)(26, 77)(27, 80)(28, 89)(29, 96)(30, 82)(31, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y2)^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 8, 40, 10, 42, 11, 43)(6, 38, 7, 39, 12, 44, 13, 45)(9, 41, 16, 48, 18, 50, 19, 51)(14, 46, 15, 47, 20, 52, 21, 53)(17, 49, 24, 56, 26, 58, 27, 59)(22, 54, 23, 55, 28, 60, 29, 61)(25, 57, 30, 62, 31, 63, 32, 64)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 86, 118, 78, 110, 70, 102)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 92, 124, 84, 116, 76, 108)(69, 101, 77, 109, 85, 117, 93, 125, 96, 128, 91, 123, 83, 115, 75, 107)
	L = (1, 68)(2, 69)(3, 74)(4, 65)(5, 66)(6, 76)(7, 77)(8, 75)(9, 82)(10, 67)(11, 72)(12, 70)(13, 71)(14, 84)(15, 85)(16, 83)(17, 90)(18, 73)(19, 80)(20, 78)(21, 79)(22, 92)(23, 93)(24, 91)(25, 95)(26, 81)(27, 88)(28, 86)(29, 87)(30, 96)(31, 89)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 8, 40, 20, 52, 16, 48)(11, 43, 24, 56, 30, 62, 27, 59)(12, 44, 23, 55, 32, 64, 28, 60)(15, 47, 22, 54, 25, 57, 29, 61)(17, 49, 21, 53, 26, 58, 31, 63)(65, 97, 67, 99, 75, 107, 89, 121, 83, 115, 96, 128, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 92, 124, 78, 110, 93, 125, 88, 120, 74, 106)(68, 100, 76, 108, 90, 122, 84, 116, 71, 103, 82, 114, 94, 126, 79, 111)(69, 101, 80, 112, 95, 127, 87, 119, 73, 105, 86, 118, 91, 123, 77, 109)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 90)(12, 67)(13, 92)(14, 69)(15, 70)(16, 93)(17, 94)(18, 96)(19, 71)(20, 89)(21, 91)(22, 72)(23, 74)(24, 95)(25, 84)(26, 75)(27, 85)(28, 77)(29, 80)(30, 81)(31, 88)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (R * Y3)^2, (R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y3^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 14, 46)(4, 36, 12, 44, 21, 53, 16, 48)(6, 38, 9, 41, 22, 54, 17, 49)(7, 39, 10, 42, 23, 55, 18, 50)(13, 45, 26, 58, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(19, 51, 24, 56, 32, 64, 29, 61)(65, 97, 67, 99, 68, 100, 77, 109, 79, 111, 83, 115, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 88, 120, 89, 121, 90, 122, 76, 108, 75, 107)(69, 101, 81, 113, 82, 114, 93, 125, 92, 124, 91, 123, 80, 112, 78, 110)(72, 104, 84, 116, 85, 117, 94, 126, 95, 127, 96, 128, 87, 119, 86, 118)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 82)(6, 67)(7, 65)(8, 85)(9, 88)(10, 89)(11, 73)(12, 66)(13, 83)(14, 81)(15, 71)(16, 69)(17, 93)(18, 92)(19, 70)(20, 94)(21, 95)(22, 84)(23, 72)(24, 90)(25, 76)(26, 75)(27, 78)(28, 80)(29, 91)(30, 96)(31, 87)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y2^-1)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, Y3^4, Y1^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 13, 45)(4, 36, 12, 44, 21, 53, 16, 48)(6, 38, 9, 41, 22, 54, 18, 50)(7, 39, 10, 42, 23, 55, 19, 51)(14, 46, 26, 58, 30, 62, 27, 59)(15, 47, 25, 57, 31, 63, 28, 60)(17, 49, 24, 56, 32, 64, 29, 61)(65, 97, 67, 99, 71, 103, 78, 110, 79, 111, 81, 113, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 88, 120, 89, 121, 90, 122, 74, 106, 75, 107)(69, 101, 82, 114, 80, 112, 93, 125, 92, 124, 91, 123, 83, 115, 77, 109)(72, 104, 84, 116, 87, 119, 94, 126, 95, 127, 96, 128, 85, 117, 86, 118)
	L = (1, 68)(2, 74)(3, 70)(4, 79)(5, 83)(6, 81)(7, 65)(8, 85)(9, 75)(10, 89)(11, 90)(12, 66)(13, 91)(14, 67)(15, 71)(16, 69)(17, 78)(18, 77)(19, 92)(20, 86)(21, 95)(22, 96)(23, 72)(24, 73)(25, 76)(26, 88)(27, 93)(28, 80)(29, 82)(30, 84)(31, 87)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (Y3^-1, Y2), Y1^4, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, Y3^4, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-2 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 12, 44, 22, 54, 18, 50)(6, 38, 9, 41, 14, 46, 20, 52)(7, 39, 10, 42, 13, 45, 21, 53)(16, 48, 26, 58, 27, 59, 30, 62)(17, 49, 25, 57, 28, 60, 31, 63)(19, 51, 24, 56, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 91, 123, 81, 113, 93, 125, 86, 118, 70, 102)(66, 98, 73, 105, 82, 114, 96, 128, 89, 121, 94, 126, 85, 117, 75, 107)(68, 100, 78, 110, 72, 104, 87, 119, 71, 103, 80, 112, 92, 124, 83, 115)(69, 101, 84, 116, 76, 108, 88, 120, 95, 127, 90, 122, 74, 106, 79, 111)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 83)(7, 65)(8, 86)(9, 79)(10, 89)(11, 90)(12, 66)(13, 72)(14, 93)(15, 94)(16, 67)(17, 71)(18, 69)(19, 91)(20, 75)(21, 95)(22, 92)(23, 70)(24, 73)(25, 76)(26, 96)(27, 87)(28, 77)(29, 80)(30, 88)(31, 82)(32, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (Y2, Y3^-1), Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^4, Y2^-1 * Y1 * Y2 * Y1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 19, 51, 15, 47)(4, 36, 12, 44, 13, 45, 18, 50)(6, 38, 9, 41, 16, 48, 20, 52)(7, 39, 10, 42, 22, 54, 21, 53)(14, 46, 26, 58, 27, 59, 30, 62)(17, 49, 25, 57, 28, 60, 31, 63)(23, 55, 24, 56, 29, 61, 32, 64)(65, 97, 67, 99, 77, 109, 91, 123, 81, 113, 93, 125, 86, 118, 70, 102)(66, 98, 73, 105, 85, 117, 96, 128, 89, 121, 94, 126, 82, 114, 75, 107)(68, 100, 78, 110, 92, 124, 87, 119, 71, 103, 80, 112, 72, 104, 83, 115)(69, 101, 84, 116, 74, 106, 88, 120, 95, 127, 90, 122, 76, 108, 79, 111)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 83)(7, 65)(8, 77)(9, 88)(10, 89)(11, 84)(12, 66)(13, 92)(14, 93)(15, 73)(16, 67)(17, 71)(18, 69)(19, 91)(20, 96)(21, 95)(22, 72)(23, 70)(24, 94)(25, 76)(26, 75)(27, 87)(28, 86)(29, 80)(30, 79)(31, 82)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|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, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y1^-1 * Y2^-3 * Y1 * Y2, Y2^-1 * Y1 * Y2^3 * Y1^-1, (Y1^-1 * Y2 * Y1 * Y2)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 24, 56, 29, 61, 26, 58)(16, 48, 20, 52, 30, 62, 28, 60)(25, 57, 31, 63, 27, 59, 32, 64)(65, 97, 67, 99, 74, 106, 85, 117, 96, 128, 87, 119, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 73, 105, 89, 121, 78, 110, 88, 120, 72, 104)(68, 100, 76, 108, 92, 124, 75, 107, 91, 123, 79, 111, 90, 122, 77, 109)(70, 102, 81, 113, 93, 125, 83, 115, 95, 127, 86, 118, 94, 126, 82, 114)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y1^4, Y2^4 * Y3, Y1 * Y2 * Y1^-1 * Y3 * Y2, Y1 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 25, 57, 17, 49, 16, 48)(10, 42, 27, 59, 18, 50, 13, 45)(12, 44, 28, 60, 31, 63, 29, 61)(21, 53, 26, 58, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 80, 112, 68, 100, 77, 109, 85, 117, 70, 102)(66, 98, 72, 104, 90, 122, 75, 107, 73, 105, 83, 115, 92, 124, 74, 106)(69, 101, 81, 113, 94, 126, 78, 110, 79, 111, 84, 116, 93, 125, 82, 114)(71, 103, 86, 118, 95, 127, 89, 121, 87, 119, 91, 123, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 83)(9, 66)(10, 75)(11, 74)(12, 85)(13, 67)(14, 82)(15, 69)(16, 70)(17, 84)(18, 78)(19, 72)(20, 81)(21, 76)(22, 91)(23, 71)(24, 89)(25, 88)(26, 92)(27, 86)(28, 90)(29, 94)(30, 93)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-3 * Y1^-1 * Y2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 24, 56, 26, 58, 27, 59)(18, 50, 20, 52, 30, 62, 29, 61)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 85, 117, 96, 128, 87, 119, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 73, 105, 89, 121, 80, 112, 88, 120, 72, 104)(68, 100, 75, 107, 90, 122, 83, 115, 95, 127, 86, 118, 94, 126, 77, 109)(69, 101, 78, 110, 93, 125, 76, 108, 92, 124, 81, 113, 91, 123, 79, 111)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 90)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 94)(19, 85)(20, 93)(21, 83)(22, 87)(23, 86)(24, 91)(25, 92)(26, 74)(27, 88)(28, 89)(29, 84)(30, 82)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^4, (R * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y1, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-3 * Y1 * Y2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y1 * Y2^3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 22, 54, 14, 46)(4, 36, 9, 41, 23, 55, 15, 47)(6, 38, 19, 51, 24, 56, 20, 52)(8, 40, 16, 48, 17, 49, 26, 58)(10, 42, 13, 45, 18, 50, 27, 59)(12, 44, 28, 60, 32, 64, 30, 62)(21, 53, 25, 57, 29, 61, 31, 63)(65, 97, 67, 99, 76, 108, 90, 122, 87, 119, 91, 123, 85, 117, 70, 102)(66, 98, 72, 104, 89, 121, 75, 107, 79, 111, 83, 115, 92, 124, 74, 106)(68, 100, 77, 109, 93, 125, 88, 120, 71, 103, 86, 118, 96, 128, 80, 112)(69, 101, 81, 113, 95, 127, 78, 110, 73, 105, 84, 116, 94, 126, 82, 114)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 87)(8, 84)(9, 66)(10, 78)(11, 82)(12, 93)(13, 67)(14, 74)(15, 69)(16, 70)(17, 83)(18, 75)(19, 81)(20, 72)(21, 96)(22, 91)(23, 71)(24, 90)(25, 94)(26, 88)(27, 86)(28, 95)(29, 76)(30, 89)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3^4, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 15, 47)(4, 36, 12, 44, 25, 57, 17, 49)(6, 38, 21, 53, 26, 58, 22, 54)(7, 39, 10, 42, 27, 59, 19, 51)(9, 41, 28, 60, 18, 50, 14, 46)(11, 43, 30, 62, 20, 52, 23, 55)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 68, 100, 78, 110, 80, 112, 87, 119, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 77, 109, 93, 125, 85, 117, 76, 108, 75, 107)(69, 101, 82, 114, 83, 115, 79, 111, 95, 127, 86, 118, 81, 113, 84, 116)(72, 104, 88, 120, 89, 121, 92, 124, 96, 128, 94, 126, 91, 123, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 83)(6, 67)(7, 65)(8, 89)(9, 77)(10, 93)(11, 73)(12, 66)(13, 85)(14, 87)(15, 86)(16, 71)(17, 69)(18, 79)(19, 95)(20, 82)(21, 75)(22, 84)(23, 70)(24, 92)(25, 96)(26, 88)(27, 72)(28, 94)(29, 76)(30, 90)(31, 81)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (Y2 * R)^2, Y1^4, (R * Y1)^2, Y3^4, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 14, 46)(4, 36, 12, 44, 25, 57, 17, 49)(6, 38, 22, 54, 26, 58, 23, 55)(7, 39, 10, 42, 27, 59, 20, 52)(9, 41, 28, 60, 19, 51, 15, 47)(11, 43, 30, 62, 21, 53, 18, 50)(16, 48, 29, 61, 32, 64, 31, 63)(65, 97, 67, 99, 71, 103, 79, 111, 80, 112, 82, 114, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 77, 109, 93, 125, 86, 118, 74, 106, 75, 107)(69, 101, 83, 115, 81, 113, 78, 110, 95, 127, 87, 119, 84, 116, 85, 117)(72, 104, 88, 120, 91, 123, 92, 124, 96, 128, 94, 126, 89, 121, 90, 122)
	L = (1, 68)(2, 74)(3, 70)(4, 80)(5, 84)(6, 82)(7, 65)(8, 89)(9, 75)(10, 93)(11, 86)(12, 66)(13, 73)(14, 83)(15, 67)(16, 71)(17, 69)(18, 79)(19, 85)(20, 95)(21, 87)(22, 77)(23, 78)(24, 90)(25, 96)(26, 94)(27, 72)(28, 88)(29, 76)(30, 92)(31, 81)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), Y1^4, Y3^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y2^2 * Y3 * Y1^-2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-2 * Y3 * Y2^2, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y1 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 27, 59, 16, 48)(4, 36, 12, 44, 26, 58, 19, 51)(6, 38, 24, 56, 15, 47, 25, 57)(7, 39, 10, 42, 14, 46, 22, 54)(9, 41, 17, 49, 21, 53, 28, 60)(11, 43, 20, 52, 23, 55, 30, 62)(18, 50, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 78, 110, 92, 124, 82, 114, 94, 126, 90, 122, 70, 102)(66, 98, 73, 105, 83, 115, 77, 109, 93, 125, 88, 120, 86, 118, 75, 107)(68, 100, 79, 111, 72, 104, 91, 123, 71, 103, 81, 113, 95, 127, 84, 116)(69, 101, 85, 117, 76, 108, 80, 112, 96, 128, 89, 121, 74, 106, 87, 119)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 86)(6, 84)(7, 65)(8, 90)(9, 87)(10, 93)(11, 89)(12, 66)(13, 85)(14, 72)(15, 94)(16, 73)(17, 67)(18, 71)(19, 69)(20, 92)(21, 75)(22, 96)(23, 88)(24, 80)(25, 77)(26, 95)(27, 70)(28, 91)(29, 76)(30, 81)(31, 78)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^4, Y1^4, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y1^-2 * Y2^2 * Y3^-1, Y1^-2 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y2^-1 * Y1 * Y2, Y1 * Y2^-2 * Y3 * Y1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 16, 48)(4, 36, 12, 44, 14, 46, 19, 51)(6, 38, 24, 56, 17, 49, 25, 57)(7, 39, 10, 42, 26, 58, 22, 54)(9, 41, 15, 47, 21, 53, 28, 60)(11, 43, 27, 59, 23, 55, 30, 62)(18, 50, 29, 61, 31, 63, 32, 64)(65, 97, 67, 99, 78, 110, 92, 124, 82, 114, 94, 126, 90, 122, 70, 102)(66, 98, 73, 105, 86, 118, 77, 109, 93, 125, 88, 120, 83, 115, 75, 107)(68, 100, 79, 111, 95, 127, 91, 123, 71, 103, 81, 113, 72, 104, 84, 116)(69, 101, 85, 117, 74, 106, 80, 112, 96, 128, 89, 121, 76, 108, 87, 119)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 86)(6, 84)(7, 65)(8, 78)(9, 80)(10, 93)(11, 85)(12, 66)(13, 89)(14, 95)(15, 94)(16, 88)(17, 67)(18, 71)(19, 69)(20, 92)(21, 77)(22, 96)(23, 73)(24, 87)(25, 75)(26, 72)(27, 70)(28, 91)(29, 76)(30, 81)(31, 90)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y2^2 * Y1, Y1^2 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^6, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^8, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 22, 54, 10, 42, 5, 37)(3, 35, 9, 41, 4, 36, 12, 44, 15, 47, 28, 60, 21, 53, 11, 43)(7, 39, 16, 48, 8, 40, 18, 50, 27, 59, 25, 57, 13, 45, 17, 49)(19, 51, 29, 61, 20, 52, 30, 62, 24, 56, 32, 64, 23, 55, 31, 63)(65, 97, 67, 99, 74, 106, 85, 117, 90, 122, 79, 111, 70, 102, 68, 100)(66, 98, 71, 103, 69, 101, 77, 109, 86, 118, 91, 123, 78, 110, 72, 104)(73, 105, 83, 115, 75, 107, 87, 119, 92, 124, 88, 120, 76, 108, 84, 116)(80, 112, 93, 125, 81, 113, 95, 127, 89, 121, 96, 128, 82, 114, 94, 126)
	L = (1, 68)(2, 72)(3, 65)(4, 70)(5, 71)(6, 79)(7, 66)(8, 78)(9, 84)(10, 67)(11, 83)(12, 88)(13, 69)(14, 91)(15, 90)(16, 94)(17, 93)(18, 96)(19, 73)(20, 76)(21, 74)(22, 77)(23, 75)(24, 92)(25, 95)(26, 85)(27, 86)(28, 87)(29, 80)(30, 82)(31, 81)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.487
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3 * Y1^-1, Y3^-2 * Y2^-2, Y1^-2 * Y2^-2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3 * Y1 * Y2 * Y1^-1, Y3^2 * Y1^6, Y3^-2 * Y2^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 29, 61, 26, 58, 13, 45, 5, 37)(3, 35, 12, 44, 6, 38, 10, 42, 21, 53, 30, 62, 25, 57, 15, 47)(4, 36, 11, 43, 20, 52, 31, 63, 27, 59, 18, 50, 7, 39, 9, 41)(14, 46, 22, 54, 17, 49, 24, 56, 32, 64, 28, 60, 16, 48, 23, 55)(65, 97, 67, 99, 77, 109, 89, 121, 93, 125, 85, 117, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 82, 114, 90, 122, 95, 127, 83, 115, 75, 107)(68, 100, 78, 110, 71, 103, 80, 112, 91, 123, 96, 128, 84, 116, 81, 113)(74, 106, 86, 118, 76, 108, 87, 119, 79, 111, 92, 124, 94, 126, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 84)(9, 86)(10, 83)(11, 88)(12, 66)(13, 71)(14, 70)(15, 69)(16, 67)(17, 85)(18, 87)(19, 94)(20, 93)(21, 96)(22, 75)(23, 73)(24, 95)(25, 80)(26, 79)(27, 77)(28, 82)(29, 91)(30, 90)(31, 92)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.488
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.539 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3^2 * Y1^-1 * Y2^-1, (Y3 * Y1^-1)^2, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3^-22 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 25, 57, 30, 62, 29, 61, 17, 49, 7, 39)(2, 34, 10, 42, 20, 52, 31, 63, 27, 59, 19, 51, 6, 38, 12, 44)(3, 35, 14, 46, 24, 56, 32, 64, 22, 54, 18, 50, 5, 37, 16, 48)(8, 40, 21, 53, 15, 47, 28, 60, 13, 45, 26, 58, 11, 43, 23, 55)(65, 66, 72, 69)(67, 73, 84, 79)(68, 78, 90, 76)(70, 75, 86, 81)(71, 80, 92, 83)(74, 89, 96, 87)(77, 88, 94, 91)(82, 85, 95, 93)(97, 99, 109, 102)(98, 105, 120, 107)(100, 106, 117, 112)(101, 111, 123, 113)(103, 108, 119, 114)(104, 116, 126, 118)(110, 121, 127, 124)(115, 122, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.548
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.540 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y2^-1 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1^-1)^2, Y3^2 * Y1 * Y2, Y2^4, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 29, 61, 30, 62, 25, 57, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 18, 50, 28, 60, 31, 63, 20, 52, 12, 44)(3, 35, 14, 46, 5, 37, 19, 51, 22, 54, 32, 64, 24, 56, 16, 48)(8, 40, 21, 53, 11, 43, 26, 58, 13, 45, 27, 59, 15, 47, 23, 55)(65, 66, 72, 69)(67, 73, 84, 79)(68, 78, 91, 82)(70, 75, 86, 81)(71, 80, 90, 74)(76, 89, 96, 85)(77, 88, 94, 92)(83, 87, 95, 93)(97, 99, 109, 102)(98, 105, 120, 107)(100, 106, 117, 115)(101, 111, 124, 113)(103, 108, 119, 110)(104, 116, 126, 118)(112, 121, 127, 123)(114, 122, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.549
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.541 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, (Y3^2 * Y1)^2, Y1^-1 * Y3^4 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 18, 50, 6, 38, 17, 49, 16, 48, 5, 37)(2, 34, 7, 39, 20, 52, 13, 45, 4, 36, 12, 44, 24, 56, 8, 40)(9, 41, 25, 57, 15, 47, 28, 60, 11, 43, 27, 59, 14, 46, 26, 58)(19, 51, 29, 61, 23, 55, 32, 64, 21, 53, 31, 63, 22, 54, 30, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 80, 88)(89, 95, 91, 93)(90, 96, 92, 94)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 116, 112, 120)(121, 127, 123, 125)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.550
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.542 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-1 * Y3, (Y2, Y1), (Y1 * Y2)^2, R * Y2 * R * Y1, Y2^2 * Y1^-1 * Y2, Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3^-1, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y3 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 67, 73, 70, 75, 69)(68, 79, 83, 80, 71, 82, 84, 81)(74, 85, 77, 86, 76, 88, 78, 87)(89, 94, 91, 96, 90, 93, 92, 95)(97, 99, 107, 98, 105, 101, 104, 102)(100, 112, 116, 111, 103, 113, 115, 114)(106, 118, 110, 117, 108, 119, 109, 120)(121, 128, 124, 126, 122, 127, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.551
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.543 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^-1 * Y2^-1, Y3^4, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^4, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y2 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^8, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 14, 46, 5, 37)(2, 34, 7, 39, 22, 54, 8, 40)(3, 35, 10, 42, 17, 49, 11, 43)(6, 38, 18, 50, 9, 41, 19, 51)(12, 44, 25, 57, 15, 47, 26, 58)(13, 45, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(21, 53, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 78, 86, 73, 67)(68, 76, 82, 80, 69, 79, 83, 77)(71, 84, 75, 88, 72, 87, 74, 85)(89, 94, 92, 95, 90, 93, 91, 96)(97, 99, 105, 118, 110, 113, 102, 98)(100, 109, 115, 111, 101, 112, 114, 108)(103, 117, 106, 119, 104, 120, 107, 116)(121, 128, 123, 125, 122, 127, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.552
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.544 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (Y2^-1 * Y3)^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, (Y3 * Y1^-1)^2, Y2^2 * Y1^-2, Y3^4, Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y3)^2, Y2 * Y1^3 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 22, 54, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(6, 38, 19, 51, 29, 61, 20, 52)(8, 40, 23, 55, 15, 47, 24, 56)(11, 43, 27, 59, 18, 50, 28, 60)(13, 45, 26, 58, 31, 63, 30, 62)(17, 49, 21, 53, 32, 64, 25, 57)(65, 66, 72, 85, 95, 93, 82, 69)(67, 77, 86, 75, 89, 73, 70, 79)(68, 81, 87, 83, 94, 78, 92, 76)(71, 80, 88, 74, 90, 96, 91, 84)(97, 99, 104, 118, 127, 121, 114, 102)(98, 105, 117, 111, 125, 109, 101, 107)(100, 106, 119, 128, 126, 116, 124, 112)(103, 115, 120, 110, 122, 108, 123, 113)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.553
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.545 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, Y2^2 * Y1^-2, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^5 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 21, 53, 16, 48)(5, 37, 19, 51, 26, 58, 17, 49)(8, 40, 23, 55, 11, 43, 24, 56)(9, 41, 25, 57, 31, 63, 27, 59)(15, 47, 28, 60, 20, 52, 30, 62)(18, 50, 29, 61, 32, 64, 22, 54)(65, 66, 72, 85, 95, 93, 84, 69)(67, 77, 86, 75, 90, 73, 70, 79)(68, 81, 87, 76, 91, 78, 94, 82)(71, 80, 88, 96, 89, 83, 92, 74)(97, 99, 104, 118, 127, 122, 116, 102)(98, 105, 117, 111, 125, 109, 101, 107)(100, 106, 119, 112, 123, 128, 126, 115)(103, 114, 120, 113, 121, 108, 124, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.554
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.546 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1, (Y1 * Y2)^2, Y3^4, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 22, 54, 12, 44)(3, 35, 14, 46, 5, 37, 16, 48)(6, 38, 18, 50, 30, 62, 17, 49)(8, 40, 23, 55, 15, 47, 24, 56)(11, 43, 27, 59, 20, 52, 26, 58)(13, 45, 29, 61, 31, 63, 28, 60)(19, 51, 25, 57, 32, 64, 21, 53)(65, 66, 72, 85, 95, 94, 84, 69)(67, 77, 86, 75, 89, 73, 70, 79)(68, 78, 87, 76, 92, 96, 90, 82)(71, 83, 88, 81, 93, 80, 91, 74)(97, 99, 104, 118, 127, 121, 116, 102)(98, 105, 117, 111, 126, 109, 101, 107)(100, 113, 119, 112, 124, 106, 122, 115)(103, 108, 120, 128, 125, 114, 123, 110)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.555
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.547 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y1^-2 * Y2^2, Y3^-2 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y3^-2, R * Y1 * R * Y2, (Y2 * Y3^-1)^2, (R * Y3)^2, Y3^4, Y3 * Y2^-2 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y2^-1, Y1^8, (Y3^-1 * Y2^-2)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 14, 46, 21, 53, 16, 48)(5, 37, 18, 50, 26, 58, 20, 52)(8, 40, 23, 55, 11, 43, 24, 56)(9, 41, 25, 57, 31, 63, 27, 59)(15, 47, 30, 62, 19, 51, 28, 60)(17, 49, 22, 54, 32, 64, 29, 61)(65, 66, 72, 85, 95, 93, 83, 69)(67, 77, 86, 75, 90, 73, 70, 79)(68, 78, 87, 96, 91, 84, 92, 76)(71, 82, 88, 74, 89, 80, 94, 81)(97, 99, 104, 118, 127, 122, 115, 102)(98, 105, 117, 111, 125, 109, 101, 107)(100, 113, 119, 114, 123, 106, 124, 112)(103, 108, 120, 110, 121, 128, 126, 116)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.556
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.548 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y3^2 * Y1^-1 * Y2^-1, (Y3 * Y1^-1)^2, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^-1 * Y3^2 * Y2^-1, Y1^-1 * Y3^-22 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 25, 57, 89, 121, 30, 62, 94, 126, 29, 61, 93, 125, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 20, 52, 84, 116, 31, 63, 95, 127, 27, 59, 91, 123, 19, 51, 83, 115, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 24, 56, 88, 120, 32, 64, 96, 128, 22, 54, 86, 118, 18, 50, 82, 114, 5, 37, 69, 101, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 15, 47, 79, 111, 28, 60, 92, 124, 13, 45, 77, 109, 26, 58, 90, 122, 11, 43, 75, 107, 23, 55, 87, 119)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 48)(8, 37)(9, 52)(10, 57)(11, 54)(12, 36)(13, 56)(14, 58)(15, 35)(16, 60)(17, 38)(18, 53)(19, 39)(20, 47)(21, 63)(22, 49)(23, 42)(24, 62)(25, 64)(26, 44)(27, 45)(28, 51)(29, 50)(30, 59)(31, 61)(32, 55)(65, 99)(66, 105)(67, 109)(68, 106)(69, 111)(70, 97)(71, 108)(72, 116)(73, 120)(74, 117)(75, 98)(76, 119)(77, 102)(78, 121)(79, 123)(80, 100)(81, 101)(82, 103)(83, 122)(84, 126)(85, 112)(86, 104)(87, 114)(88, 107)(89, 127)(90, 128)(91, 113)(92, 110)(93, 115)(94, 118)(95, 124)(96, 125)
	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 E21.539
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.549 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y2^-1 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1^-1)^2, Y3^2 * Y1 * Y2, Y2^4, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, R * Y1 * R * Y2, Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 29, 61, 93, 125, 30, 62, 94, 126, 25, 57, 89, 121, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 18, 50, 82, 114, 28, 60, 92, 124, 31, 63, 95, 127, 20, 52, 84, 116, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 19, 51, 83, 115, 22, 54, 86, 118, 32, 64, 96, 128, 24, 56, 88, 120, 16, 48, 80, 112)(8, 40, 72, 104, 21, 53, 85, 117, 11, 43, 75, 107, 26, 58, 90, 122, 13, 45, 77, 109, 27, 59, 91, 123, 15, 47, 79, 111, 23, 55, 87, 119)
	L = (1, 34)(2, 40)(3, 41)(4, 46)(5, 33)(6, 43)(7, 48)(8, 37)(9, 52)(10, 39)(11, 54)(12, 57)(13, 56)(14, 59)(15, 35)(16, 58)(17, 38)(18, 36)(19, 55)(20, 47)(21, 44)(22, 49)(23, 63)(24, 62)(25, 64)(26, 42)(27, 50)(28, 45)(29, 51)(30, 60)(31, 61)(32, 53)(65, 99)(66, 105)(67, 109)(68, 106)(69, 111)(70, 97)(71, 108)(72, 116)(73, 120)(74, 117)(75, 98)(76, 119)(77, 102)(78, 103)(79, 124)(80, 121)(81, 101)(82, 122)(83, 100)(84, 126)(85, 115)(86, 104)(87, 110)(88, 107)(89, 127)(90, 128)(91, 112)(92, 113)(93, 114)(94, 118)(95, 123)(96, 125)
	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 E21.540
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.550 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^4, Y2^4, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, (Y3^2 * Y1)^2, Y1^-1 * Y3^4 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 18, 50, 82, 114, 6, 38, 70, 102, 17, 49, 81, 113, 16, 48, 80, 112, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 13, 45, 77, 109, 4, 36, 68, 100, 12, 44, 76, 108, 24, 56, 88, 120, 8, 40, 72, 104)(9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 28, 60, 92, 124, 11, 43, 75, 107, 27, 59, 91, 123, 14, 46, 78, 110, 26, 58, 90, 122)(19, 51, 83, 115, 29, 61, 93, 125, 23, 55, 87, 119, 32, 64, 96, 128, 21, 53, 85, 117, 31, 63, 95, 127, 22, 54, 86, 118, 30, 62, 94, 126)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 51)(8, 54)(9, 49)(10, 52)(11, 35)(12, 53)(13, 55)(14, 50)(15, 37)(16, 56)(17, 43)(18, 47)(19, 44)(20, 48)(21, 39)(22, 45)(23, 40)(24, 42)(25, 63)(26, 64)(27, 61)(28, 62)(29, 57)(30, 58)(31, 59)(32, 60)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 115)(72, 118)(73, 113)(74, 116)(75, 99)(76, 117)(77, 119)(78, 114)(79, 101)(80, 120)(81, 107)(82, 111)(83, 108)(84, 112)(85, 103)(86, 109)(87, 104)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	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 E21.541
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.551 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-1 * Y3, (Y2, Y1), (Y1 * Y2)^2, R * Y2 * R * Y1, Y2^2 * Y1^-1 * Y2, Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3^-1, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y3 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 35)(9, 38)(10, 53)(11, 37)(12, 56)(13, 54)(14, 55)(15, 51)(16, 39)(17, 36)(18, 52)(19, 48)(20, 49)(21, 45)(22, 44)(23, 42)(24, 46)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 105)(67, 107)(68, 112)(69, 104)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 120)(78, 117)(79, 103)(80, 116)(81, 115)(82, 100)(83, 114)(84, 111)(85, 108)(86, 110)(87, 109)(88, 106)(89, 128)(90, 127)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.542
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.552 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^-1 * Y2^-1, Y3^4, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^2 * Y1^4, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y2 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^8, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 14, 46, 78, 110, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 8, 40, 72, 104)(3, 35, 67, 99, 10, 42, 74, 106, 17, 49, 81, 113, 11, 43, 75, 107)(6, 38, 70, 102, 18, 50, 82, 114, 9, 41, 73, 105, 19, 51, 83, 115)(12, 44, 76, 108, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(13, 45, 77, 109, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(21, 53, 85, 117, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 44)(5, 47)(6, 49)(7, 52)(8, 55)(9, 35)(10, 53)(11, 56)(12, 50)(13, 36)(14, 54)(15, 51)(16, 37)(17, 46)(18, 48)(19, 45)(20, 43)(21, 39)(22, 41)(23, 42)(24, 40)(25, 62)(26, 61)(27, 64)(28, 63)(29, 59)(30, 60)(31, 58)(32, 57)(65, 99)(66, 97)(67, 105)(68, 109)(69, 112)(70, 98)(71, 117)(72, 120)(73, 118)(74, 119)(75, 116)(76, 100)(77, 115)(78, 113)(79, 101)(80, 114)(81, 102)(82, 108)(83, 111)(84, 103)(85, 106)(86, 110)(87, 104)(88, 107)(89, 128)(90, 127)(91, 125)(92, 126)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.543
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.553 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, (Y2^-1 * Y3)^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, (Y3 * Y1^-1)^2, Y2^2 * Y1^-2, Y3^4, Y3^-1 * Y1 * Y3 * Y2^-1, (R * Y3)^2, Y2 * Y1^3 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 22, 54, 86, 118, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 20, 52, 84, 116)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 24, 56, 88, 120)(11, 43, 75, 107, 27, 59, 91, 123, 18, 50, 82, 114, 28, 60, 92, 124)(13, 45, 77, 109, 26, 58, 90, 122, 31, 63, 95, 127, 30, 62, 94, 126)(17, 49, 81, 113, 21, 53, 85, 117, 32, 64, 96, 128, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 48)(8, 53)(9, 38)(10, 58)(11, 57)(12, 36)(13, 54)(14, 60)(15, 35)(16, 56)(17, 55)(18, 37)(19, 62)(20, 39)(21, 63)(22, 43)(23, 51)(24, 42)(25, 41)(26, 64)(27, 52)(28, 44)(29, 50)(30, 46)(31, 61)(32, 59)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 115)(72, 118)(73, 117)(74, 119)(75, 98)(76, 123)(77, 101)(78, 122)(79, 125)(80, 100)(81, 103)(82, 102)(83, 120)(84, 124)(85, 111)(86, 127)(87, 128)(88, 110)(89, 114)(90, 108)(91, 113)(92, 112)(93, 109)(94, 116)(95, 121)(96, 126)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.544
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.554 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, Y2^2 * Y1^-2, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^5 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 21, 53, 85, 117, 16, 48, 80, 112)(5, 37, 69, 101, 19, 51, 83, 115, 26, 58, 90, 122, 17, 49, 81, 113)(8, 40, 72, 104, 23, 55, 87, 119, 11, 43, 75, 107, 24, 56, 88, 120)(9, 41, 73, 105, 25, 57, 89, 121, 31, 63, 95, 127, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124, 20, 52, 84, 116, 30, 62, 94, 126)(18, 50, 82, 114, 29, 61, 93, 125, 32, 64, 96, 128, 22, 54, 86, 118)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 48)(8, 53)(9, 38)(10, 39)(11, 58)(12, 59)(13, 54)(14, 62)(15, 35)(16, 56)(17, 55)(18, 36)(19, 60)(20, 37)(21, 63)(22, 43)(23, 44)(24, 64)(25, 51)(26, 41)(27, 46)(28, 42)(29, 52)(30, 50)(31, 61)(32, 57)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 114)(72, 118)(73, 117)(74, 119)(75, 98)(76, 124)(77, 101)(78, 103)(79, 125)(80, 123)(81, 121)(82, 120)(83, 100)(84, 102)(85, 111)(86, 127)(87, 112)(88, 113)(89, 108)(90, 116)(91, 128)(92, 110)(93, 109)(94, 115)(95, 122)(96, 126)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.545
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.555 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1, (Y1 * Y2)^2, Y3^4, Y3^2 * Y2^-1 * Y1^-1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 22, 54, 86, 118, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 18, 50, 82, 114, 30, 62, 94, 126, 17, 49, 81, 113)(8, 40, 72, 104, 23, 55, 87, 119, 15, 47, 79, 111, 24, 56, 88, 120)(11, 43, 75, 107, 27, 59, 91, 123, 20, 52, 84, 116, 26, 58, 90, 122)(13, 45, 77, 109, 29, 61, 93, 125, 31, 63, 95, 127, 28, 60, 92, 124)(19, 51, 83, 115, 25, 57, 89, 121, 32, 64, 96, 128, 21, 53, 85, 117)
	L = (1, 34)(2, 40)(3, 45)(4, 46)(5, 33)(6, 47)(7, 51)(8, 53)(9, 38)(10, 39)(11, 57)(12, 60)(13, 54)(14, 55)(15, 35)(16, 59)(17, 61)(18, 36)(19, 56)(20, 37)(21, 63)(22, 43)(23, 44)(24, 49)(25, 41)(26, 50)(27, 42)(28, 64)(29, 48)(30, 52)(31, 62)(32, 58)(65, 99)(66, 105)(67, 104)(68, 113)(69, 107)(70, 97)(71, 108)(72, 118)(73, 117)(74, 122)(75, 98)(76, 120)(77, 101)(78, 103)(79, 126)(80, 124)(81, 119)(82, 123)(83, 100)(84, 102)(85, 111)(86, 127)(87, 112)(88, 128)(89, 116)(90, 115)(91, 110)(92, 106)(93, 114)(94, 109)(95, 121)(96, 125)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.546
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.556 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y1^-2 * Y2^2, Y3^-2 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y3^-2, R * Y1 * R * Y2, (Y2 * Y3^-1)^2, (R * Y3)^2, Y3^4, Y3 * Y2^-2 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y2^-1, Y1^8, (Y3^-1 * Y2^-2)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 21, 53, 85, 117, 16, 48, 80, 112)(5, 37, 69, 101, 18, 50, 82, 114, 26, 58, 90, 122, 20, 52, 84, 116)(8, 40, 72, 104, 23, 55, 87, 119, 11, 43, 75, 107, 24, 56, 88, 120)(9, 41, 73, 105, 25, 57, 89, 121, 31, 63, 95, 127, 27, 59, 91, 123)(15, 47, 79, 111, 30, 62, 94, 126, 19, 51, 83, 115, 28, 60, 92, 124)(17, 49, 81, 113, 22, 54, 86, 118, 32, 64, 96, 128, 29, 61, 93, 125)
	L = (1, 34)(2, 40)(3, 45)(4, 46)(5, 33)(6, 47)(7, 50)(8, 53)(9, 38)(10, 57)(11, 58)(12, 36)(13, 54)(14, 55)(15, 35)(16, 62)(17, 39)(18, 56)(19, 37)(20, 60)(21, 63)(22, 43)(23, 64)(24, 42)(25, 48)(26, 41)(27, 52)(28, 44)(29, 51)(30, 49)(31, 61)(32, 59)(65, 99)(66, 105)(67, 104)(68, 113)(69, 107)(70, 97)(71, 108)(72, 118)(73, 117)(74, 124)(75, 98)(76, 120)(77, 101)(78, 121)(79, 125)(80, 100)(81, 119)(82, 123)(83, 102)(84, 103)(85, 111)(86, 127)(87, 114)(88, 110)(89, 128)(90, 115)(91, 106)(92, 112)(93, 109)(94, 116)(95, 122)(96, 126)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.547
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^4, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y2^2 * Y1^-1)^2, Y2^4 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 16, 48, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 79, 111, 92, 124, 75, 107, 91, 123, 78, 110, 90, 122)(83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 95, 127, 86, 118, 94, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ 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 * Y1)^2, Y1^4, (R * Y3)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 19, 51, 8, 40)(5, 37, 11, 43, 23, 55, 13, 45)(7, 39, 17, 49, 29, 61, 16, 48)(10, 42, 18, 50, 28, 60, 22, 54)(12, 44, 15, 47, 27, 59, 24, 56)(14, 46, 20, 52, 30, 62, 25, 57)(21, 53, 31, 63, 26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 81, 113, 95, 127, 88, 120, 78, 110, 69, 101)(66, 98, 71, 103, 82, 114, 91, 123, 90, 122, 77, 109, 84, 116, 72, 104)(68, 100, 75, 107, 86, 118, 73, 105, 85, 117, 93, 125, 89, 121, 76, 108)(70, 102, 79, 111, 92, 124, 87, 119, 96, 128, 83, 115, 94, 126, 80, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|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, Y1^4, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2^-3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^8, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 21, 53, 11, 43)(5, 37, 13, 45, 18, 50, 7, 39)(8, 40, 19, 51, 28, 60, 15, 47)(10, 42, 17, 49, 27, 59, 24, 56)(12, 44, 16, 48, 29, 61, 23, 55)(14, 46, 20, 52, 30, 62, 22, 54)(25, 57, 31, 63, 26, 58, 32, 64)(65, 97, 67, 99, 74, 106, 87, 119, 96, 128, 83, 115, 78, 110, 69, 101)(66, 98, 71, 103, 81, 113, 75, 107, 89, 121, 93, 125, 84, 116, 72, 104)(68, 100, 76, 108, 88, 120, 92, 124, 90, 122, 77, 109, 86, 118, 73, 105)(70, 102, 79, 111, 91, 123, 82, 114, 95, 127, 85, 117, 94, 126, 80, 112)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, Y2 * Y3 * Y2^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 19, 51, 14, 46, 21, 53)(8, 40, 22, 54, 15, 47, 23, 55)(10, 42, 20, 52, 18, 50, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 74, 106, 77, 109, 68, 100, 75, 107, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 79, 111, 69, 101, 78, 110, 88, 120, 72, 104)(73, 105, 89, 121, 81, 113, 92, 124, 76, 108, 91, 123, 80, 112, 90, 122)(83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 95, 127, 86, 118, 94, 126)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 82)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 74)(19, 85)(20, 88)(21, 83)(22, 87)(23, 86)(24, 84)(25, 91)(26, 92)(27, 89)(28, 90)(29, 95)(30, 96)(31, 93)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y3 * Y2^4, Y2 * Y3 * Y1 * Y2 * Y1, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 25, 57, 10, 42)(4, 36, 9, 41, 21, 53, 14, 46)(6, 38, 16, 48, 29, 61, 18, 50)(8, 40, 15, 47, 28, 60, 22, 54)(12, 44, 23, 55, 31, 63, 27, 59)(13, 45, 17, 49, 20, 52, 24, 56)(19, 51, 26, 58, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 79, 111, 68, 100, 77, 109, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 88, 120, 73, 105, 82, 114, 90, 122, 74, 106)(69, 101, 80, 112, 91, 123, 75, 107, 78, 110, 92, 124, 94, 126, 81, 113)(71, 103, 84, 116, 95, 127, 93, 125, 85, 117, 89, 121, 96, 128, 86, 118)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 85)(8, 82)(9, 66)(10, 88)(11, 81)(12, 83)(13, 67)(14, 69)(15, 70)(16, 92)(17, 75)(18, 72)(19, 76)(20, 89)(21, 71)(22, 93)(23, 90)(24, 74)(25, 84)(26, 87)(27, 94)(28, 80)(29, 86)(30, 91)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y1^4, (Y1^-1 * Y2^-1)^2, Y2^4 * Y3, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, (Y2^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 27, 59, 14, 46)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 18, 50, 25, 57, 8, 40)(10, 42, 13, 45, 28, 60, 20, 52)(12, 44, 23, 55, 31, 63, 30, 62)(16, 48, 17, 49, 22, 54, 24, 56)(19, 51, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 76, 108, 80, 112, 68, 100, 77, 109, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 78, 110, 73, 105, 88, 120, 90, 122, 74, 106)(69, 101, 81, 113, 94, 126, 92, 124, 79, 111, 82, 114, 93, 125, 75, 107)(71, 103, 84, 116, 95, 127, 89, 121, 85, 117, 91, 123, 96, 128, 86, 118)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 85)(8, 88)(9, 66)(10, 78)(11, 92)(12, 83)(13, 67)(14, 74)(15, 69)(16, 70)(17, 82)(18, 81)(19, 76)(20, 91)(21, 71)(22, 89)(23, 90)(24, 72)(25, 86)(26, 87)(27, 84)(28, 75)(29, 94)(30, 93)(31, 96)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * R * Y2 * R, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y3 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 8, 40)(6, 38, 14, 46, 16, 48, 17, 49)(7, 39, 19, 51, 21, 53, 13, 45)(10, 42, 20, 52, 25, 57, 24, 56)(12, 44, 28, 60, 29, 61, 15, 47)(18, 50, 22, 54, 26, 58, 30, 62)(23, 55, 32, 64, 31, 63, 27, 59)(65, 97, 67, 99, 74, 106, 83, 115, 96, 128, 93, 125, 82, 114, 70, 102)(66, 98, 71, 103, 84, 116, 92, 124, 95, 127, 81, 113, 86, 118, 72, 104)(68, 100, 76, 108, 89, 121, 80, 112, 91, 123, 75, 107, 90, 122, 77, 109)(69, 101, 78, 110, 88, 120, 73, 105, 87, 119, 85, 117, 94, 126, 79, 111)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 80)(7, 85)(8, 73)(9, 72)(10, 89)(11, 67)(12, 93)(13, 83)(14, 81)(15, 92)(16, 70)(17, 78)(18, 90)(19, 77)(20, 88)(21, 71)(22, 94)(23, 95)(24, 84)(25, 74)(26, 82)(27, 96)(28, 79)(29, 76)(30, 86)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1^-1, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-2 * Y1 * Y2^2 * Y1^-1, (R * Y2 * Y3)^2, Y3 * Y2^2 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 17, 49, 7, 39)(8, 40, 20, 52, 21, 53, 13, 45)(10, 42, 19, 51, 25, 57, 26, 58)(14, 46, 30, 62, 24, 56, 15, 47)(18, 50, 22, 54, 27, 59, 23, 55)(28, 60, 31, 63, 32, 64, 29, 61)(65, 97, 67, 99, 74, 106, 88, 120, 96, 128, 84, 116, 82, 114, 70, 102)(66, 98, 71, 103, 83, 115, 76, 108, 93, 125, 94, 126, 86, 118, 72, 104)(68, 100, 77, 109, 89, 121, 81, 113, 92, 124, 75, 107, 91, 123, 78, 110)(69, 101, 79, 111, 90, 122, 85, 117, 95, 127, 80, 112, 87, 119, 73, 105)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 81)(7, 80)(8, 85)(9, 76)(10, 89)(11, 67)(12, 73)(13, 84)(14, 88)(15, 94)(16, 71)(17, 70)(18, 91)(19, 90)(20, 77)(21, 72)(22, 87)(23, 86)(24, 78)(25, 74)(26, 83)(27, 82)(28, 96)(29, 95)(30, 79)(31, 93)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1, Y1^-2 * Y2^-1 * Y3 * Y2, Y1 * Y2^3 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-1 * R * Y2 * R * Y2^-2, (R * Y2 * Y3)^2, Y3 * Y2^-3 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 15, 47, 14, 46)(4, 36, 9, 41, 22, 54, 16, 48)(6, 38, 19, 51, 17, 49, 8, 40)(10, 42, 25, 57, 24, 56, 13, 45)(12, 44, 23, 55, 31, 63, 30, 62)(18, 50, 20, 52, 32, 64, 28, 60)(21, 53, 26, 58, 29, 61, 27, 59)(65, 97, 67, 99, 76, 108, 92, 124, 86, 118, 89, 121, 85, 117, 70, 102)(66, 98, 72, 104, 87, 119, 78, 110, 80, 112, 96, 128, 90, 122, 74, 106)(68, 100, 79, 111, 93, 125, 84, 116, 71, 103, 77, 109, 95, 127, 81, 113)(69, 101, 82, 114, 94, 126, 88, 120, 73, 105, 83, 115, 91, 123, 75, 107)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 80)(6, 84)(7, 86)(8, 82)(9, 66)(10, 75)(11, 74)(12, 93)(13, 67)(14, 88)(15, 89)(16, 69)(17, 92)(18, 72)(19, 96)(20, 70)(21, 95)(22, 71)(23, 91)(24, 78)(25, 79)(26, 94)(27, 87)(28, 81)(29, 76)(30, 90)(31, 85)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 14, 46, 10, 42)(4, 36, 9, 41, 22, 54, 15, 47)(6, 38, 17, 49, 16, 48, 20, 52)(8, 40, 23, 55, 25, 57, 19, 51)(12, 44, 24, 56, 30, 62, 28, 60)(13, 45, 27, 59, 31, 63, 18, 50)(21, 53, 26, 58, 29, 61, 32, 64)(65, 97, 67, 99, 76, 108, 87, 119, 86, 118, 95, 127, 85, 117, 70, 102)(66, 98, 72, 104, 88, 120, 91, 123, 79, 111, 84, 116, 90, 122, 74, 106)(68, 100, 78, 110, 93, 125, 83, 115, 71, 103, 77, 109, 94, 126, 80, 112)(69, 101, 81, 113, 92, 124, 75, 107, 73, 105, 89, 121, 96, 128, 82, 114)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 83)(7, 86)(8, 81)(9, 66)(10, 82)(11, 91)(12, 93)(13, 67)(14, 95)(15, 69)(16, 87)(17, 72)(18, 74)(19, 70)(20, 89)(21, 94)(22, 71)(23, 80)(24, 96)(25, 84)(26, 92)(27, 75)(28, 90)(29, 76)(30, 85)(31, 78)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (Y1^-1, Y3), Y3^4, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^4, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 28, 60, 11, 43)(4, 36, 10, 42, 23, 55, 16, 48)(6, 38, 18, 50, 31, 63, 21, 53)(7, 39, 12, 44, 25, 57, 20, 52)(9, 41, 14, 46, 30, 62, 24, 56)(15, 47, 27, 59, 32, 64, 29, 61)(17, 49, 19, 51, 22, 54, 26, 58)(65, 97, 67, 99, 71, 103, 78, 110, 79, 111, 81, 113, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 90, 122, 91, 123, 85, 117, 74, 106, 75, 107)(69, 101, 82, 114, 84, 116, 77, 109, 93, 125, 94, 126, 80, 112, 83, 115)(72, 104, 86, 118, 89, 121, 95, 127, 96, 128, 92, 124, 87, 119, 88, 120)
	L = (1, 68)(2, 74)(3, 70)(4, 79)(5, 80)(6, 81)(7, 65)(8, 87)(9, 75)(10, 91)(11, 85)(12, 66)(13, 82)(14, 67)(15, 71)(16, 93)(17, 78)(18, 83)(19, 94)(20, 69)(21, 90)(22, 88)(23, 96)(24, 92)(25, 72)(26, 73)(27, 76)(28, 95)(29, 84)(30, 77)(31, 86)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (Y1 * Y2)^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, Y3^4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 29, 61, 14, 46)(4, 36, 10, 42, 23, 55, 17, 49)(6, 38, 21, 53, 26, 58, 9, 41)(7, 39, 12, 44, 25, 57, 20, 52)(11, 43, 18, 50, 31, 63, 22, 54)(15, 47, 19, 51, 24, 56, 28, 60)(16, 48, 27, 59, 32, 64, 30, 62)(65, 97, 67, 99, 71, 103, 79, 111, 80, 112, 82, 114, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 78, 110, 91, 123, 92, 124, 74, 106, 75, 107)(69, 101, 83, 115, 84, 116, 95, 127, 94, 126, 85, 117, 81, 113, 77, 109)(72, 104, 86, 118, 89, 121, 90, 122, 96, 128, 93, 125, 87, 119, 88, 120)
	L = (1, 68)(2, 74)(3, 70)(4, 80)(5, 81)(6, 82)(7, 65)(8, 87)(9, 75)(10, 91)(11, 92)(12, 66)(13, 85)(14, 73)(15, 67)(16, 71)(17, 94)(18, 79)(19, 77)(20, 69)(21, 95)(22, 88)(23, 96)(24, 93)(25, 72)(26, 86)(27, 76)(28, 78)(29, 90)(30, 84)(31, 83)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y3^4, Y1^4, (Y1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 28, 60, 11, 43)(4, 36, 10, 42, 23, 55, 16, 48)(6, 38, 17, 49, 31, 63, 20, 52)(7, 39, 12, 44, 25, 57, 19, 51)(9, 41, 14, 46, 30, 62, 24, 56)(15, 47, 27, 59, 32, 64, 29, 61)(18, 50, 22, 54, 26, 58, 21, 53)(65, 97, 67, 99, 68, 100, 78, 110, 79, 111, 85, 117, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 90, 122, 91, 123, 84, 116, 76, 108, 75, 107)(69, 101, 81, 113, 80, 112, 77, 109, 93, 125, 94, 126, 83, 115, 82, 114)(72, 104, 86, 118, 87, 119, 95, 127, 96, 128, 92, 124, 89, 121, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 79)(5, 80)(6, 67)(7, 65)(8, 87)(9, 90)(10, 91)(11, 73)(12, 66)(13, 94)(14, 85)(15, 71)(16, 93)(17, 77)(18, 81)(19, 69)(20, 75)(21, 70)(22, 95)(23, 96)(24, 86)(25, 72)(26, 84)(27, 76)(28, 88)(29, 83)(30, 82)(31, 92)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y1^4, Y3^4, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 29, 61, 15, 47)(4, 36, 10, 42, 23, 55, 17, 49)(6, 38, 20, 52, 26, 58, 9, 41)(7, 39, 12, 44, 25, 57, 19, 51)(11, 43, 21, 53, 31, 63, 22, 54)(14, 46, 18, 50, 24, 56, 28, 60)(16, 48, 27, 59, 32, 64, 30, 62)(65, 97, 67, 99, 68, 100, 78, 110, 80, 112, 85, 117, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 79, 111, 91, 123, 92, 124, 76, 108, 75, 107)(69, 101, 82, 114, 81, 113, 95, 127, 94, 126, 84, 116, 83, 115, 77, 109)(72, 104, 86, 118, 87, 119, 90, 122, 96, 128, 93, 125, 89, 121, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 67)(7, 65)(8, 87)(9, 79)(10, 91)(11, 73)(12, 66)(13, 82)(14, 85)(15, 92)(16, 71)(17, 94)(18, 95)(19, 69)(20, 77)(21, 70)(22, 90)(23, 96)(24, 86)(25, 72)(26, 93)(27, 76)(28, 75)(29, 88)(30, 83)(31, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y3^4, Y1^4, Y3 * Y1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y2^-1 * Y1 * Y2, Y1^-2 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y2^2 * Y3^-1 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 19, 51, 11, 43)(4, 36, 10, 42, 25, 57, 18, 50)(6, 38, 20, 52, 15, 47, 24, 56)(7, 39, 12, 44, 14, 46, 22, 54)(9, 41, 26, 58, 28, 60, 16, 48)(17, 49, 27, 59, 30, 62, 29, 61)(21, 53, 23, 55, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 90, 122, 81, 113, 95, 127, 89, 121, 70, 102)(66, 98, 73, 105, 86, 118, 96, 128, 91, 123, 88, 120, 82, 114, 75, 107)(68, 100, 80, 112, 72, 104, 87, 119, 71, 103, 79, 111, 94, 126, 83, 115)(69, 101, 84, 116, 76, 108, 77, 109, 93, 125, 92, 124, 74, 106, 85, 117)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 82)(6, 87)(7, 65)(8, 89)(9, 77)(10, 91)(11, 84)(12, 66)(13, 88)(14, 72)(15, 95)(16, 67)(17, 71)(18, 93)(19, 70)(20, 96)(21, 73)(22, 69)(23, 90)(24, 85)(25, 94)(26, 83)(27, 76)(28, 75)(29, 86)(30, 78)(31, 80)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y1^-1 * Y2^-1)^2, Y1^4, Y3 * Y1^2 * Y2^2, Y1^-2 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 16, 48)(4, 36, 10, 42, 25, 57, 19, 51)(6, 38, 23, 55, 15, 47, 9, 41)(7, 39, 12, 44, 14, 46, 22, 54)(11, 43, 28, 60, 26, 58, 24, 56)(17, 49, 29, 61, 30, 62, 21, 53)(18, 50, 27, 59, 31, 63, 32, 64)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 92, 124, 89, 121, 70, 102)(66, 98, 73, 105, 86, 118, 80, 112, 91, 123, 93, 125, 83, 115, 75, 107)(68, 100, 81, 113, 72, 104, 88, 120, 71, 103, 79, 111, 95, 127, 84, 116)(69, 101, 85, 117, 76, 108, 90, 122, 96, 128, 87, 119, 74, 106, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 88)(7, 65)(8, 89)(9, 90)(10, 91)(11, 85)(12, 66)(13, 73)(14, 72)(15, 92)(16, 87)(17, 67)(18, 71)(19, 96)(20, 70)(21, 80)(22, 69)(23, 75)(24, 94)(25, 95)(26, 93)(27, 76)(28, 81)(29, 77)(30, 84)(31, 78)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3, Y1), Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y3^4, Y1^4, (Y1^-1 * Y2^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y1^2 * Y2^2 * Y3^-1, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1 * Y2^-2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 16, 48)(4, 36, 10, 42, 14, 46, 19, 51)(6, 38, 23, 55, 17, 49, 9, 41)(7, 39, 12, 44, 25, 57, 22, 54)(11, 43, 28, 60, 26, 58, 20, 52)(15, 47, 29, 61, 30, 62, 21, 53)(18, 50, 27, 59, 31, 63, 32, 64)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 92, 124, 89, 121, 70, 102)(66, 98, 73, 105, 83, 115, 80, 112, 91, 123, 93, 125, 86, 118, 75, 107)(68, 100, 81, 113, 95, 127, 88, 120, 71, 103, 79, 111, 72, 104, 84, 116)(69, 101, 85, 117, 74, 106, 90, 122, 96, 128, 87, 119, 76, 108, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 88)(7, 65)(8, 78)(9, 77)(10, 91)(11, 87)(12, 66)(13, 93)(14, 95)(15, 92)(16, 85)(17, 67)(18, 71)(19, 96)(20, 70)(21, 75)(22, 69)(23, 80)(24, 94)(25, 72)(26, 73)(27, 76)(28, 81)(29, 90)(30, 84)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1, Y1^-1), Y1^4, Y3^4, Y3^-1 * Y1 * Y2^2 * Y1, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-2 * Y3^-1 * Y2, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y1^-2 * Y2^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 10, 42, 14, 46, 18, 50)(6, 38, 20, 52, 16, 48, 24, 56)(7, 39, 12, 44, 25, 57, 22, 54)(9, 41, 26, 58, 28, 60, 15, 47)(17, 49, 27, 59, 30, 62, 29, 61)(19, 51, 32, 64, 31, 63, 21, 53)(65, 97, 67, 99, 78, 110, 90, 122, 81, 113, 95, 127, 89, 121, 70, 102)(66, 98, 73, 105, 82, 114, 96, 128, 91, 123, 88, 120, 86, 118, 75, 107)(68, 100, 80, 112, 94, 126, 87, 119, 71, 103, 79, 111, 72, 104, 83, 115)(69, 101, 84, 116, 74, 106, 77, 109, 93, 125, 92, 124, 76, 108, 85, 117)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 82)(6, 87)(7, 65)(8, 78)(9, 85)(10, 91)(11, 92)(12, 66)(13, 73)(14, 94)(15, 95)(16, 67)(17, 71)(18, 93)(19, 70)(20, 75)(21, 88)(22, 69)(23, 90)(24, 77)(25, 72)(26, 83)(27, 76)(28, 96)(29, 86)(30, 89)(31, 80)(32, 84)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 x C2 (small group id <32, 36>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y2^4 * Y1^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 10, 42, 20, 52, 16, 48)(11, 43, 21, 53, 17, 49, 24, 56)(12, 44, 22, 54, 29, 61, 26, 58)(15, 47, 23, 55, 30, 62, 27, 59)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 80, 112, 69, 101, 77, 109, 88, 120, 74, 106)(68, 100, 76, 108, 89, 121, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 91, 123, 78, 110, 90, 122, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 77)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 253>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 18, 50, 13, 45)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 8, 40, 20, 52, 16, 48)(11, 43, 24, 56, 17, 49, 21, 53)(12, 44, 23, 55, 29, 61, 26, 58)(15, 47, 22, 54, 30, 62, 27, 59)(25, 57, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 77, 109, 69, 101, 80, 112, 88, 120, 74, 106)(68, 100, 76, 108, 89, 121, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 90, 122, 78, 110, 91, 123, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 77)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 253>)
|r| :: 2
Presentation :: [ R^2, Y3^-4, Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1, Y1^4, (Y3, Y2^-1), (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^4, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 9, 41, 22, 54, 18, 50)(13, 45, 27, 59, 19, 51, 23, 55)(14, 46, 28, 60, 16, 48, 26, 58)(17, 49, 25, 57, 20, 52, 24, 56)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 69, 101, 82, 114, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 85)(15, 92)(16, 67)(17, 86)(18, 89)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 82)(25, 73)(26, 79)(27, 96)(28, 75)(29, 83)(30, 77)(31, 91)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y1^4, Y2 * Y1 * Y2^-3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, (Y3 * Y2 * Y1^-1)^2, (Y2^-1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 10, 42)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 16, 48, 20, 52, 8, 40)(12, 44, 24, 56, 17, 49, 21, 53)(13, 45, 25, 57, 29, 61, 23, 55)(15, 47, 27, 59, 30, 62, 22, 54)(26, 58, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 75, 107, 69, 101, 80, 112, 88, 120, 74, 106)(68, 100, 77, 109, 90, 122, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 89, 121, 78, 110, 91, 123, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 90)(13, 67)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 76)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 8, 40)(4, 36, 9, 41, 19, 51, 14, 46)(6, 38, 16, 48, 20, 52, 10, 42)(12, 44, 21, 53, 17, 49, 24, 56)(13, 45, 25, 57, 29, 61, 22, 54)(15, 47, 27, 59, 30, 62, 23, 55)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 80, 112, 69, 101, 75, 107, 88, 120, 74, 106)(68, 100, 77, 109, 90, 122, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 91, 123, 78, 110, 89, 121, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 90)(13, 67)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 76)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (Y2, Y1), (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y1^4, Y2^4 * Y1^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2^-2 * R * Y2 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 20, 52, 13, 45)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 10, 42, 22, 54, 17, 49)(11, 43, 23, 55, 19, 51, 28, 60)(12, 44, 24, 56, 14, 46, 25, 57)(16, 48, 26, 58, 18, 50, 27, 59)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 75, 107, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 77, 109, 92, 124, 74, 106)(68, 100, 78, 110, 93, 125, 82, 114, 85, 117, 76, 108, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 79, 111, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 93)(12, 67)(13, 89)(14, 84)(15, 69)(16, 86)(17, 90)(18, 70)(19, 94)(20, 78)(21, 71)(22, 80)(23, 95)(24, 72)(25, 77)(26, 81)(27, 74)(28, 96)(29, 75)(30, 83)(31, 87)(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, 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 E21.581
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, Y1^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y1^2 * Y2, Y3 * Y2 * Y3 * Y1^2 * Y2^-1, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 8, 40)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 17, 49, 22, 54, 10, 42)(12, 44, 23, 55, 19, 51, 28, 60)(13, 45, 25, 57, 14, 46, 24, 56)(16, 48, 27, 59, 18, 50, 26, 58)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 75, 107, 92, 124, 74, 106)(68, 100, 78, 110, 93, 125, 82, 114, 85, 117, 77, 109, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 79, 111, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 89)(12, 93)(13, 67)(14, 84)(15, 69)(16, 86)(17, 90)(18, 70)(19, 94)(20, 78)(21, 71)(22, 80)(23, 95)(24, 72)(25, 75)(26, 81)(27, 74)(28, 96)(29, 76)(30, 83)(31, 87)(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, 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 E21.580
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^-2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3^-2 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (Y2^-2 * Y3)^2, (Y2^-1 * Y3 * Y1^-1)^2, Y1^-2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 27, 59, 19, 51, 23, 55)(15, 47, 26, 58, 16, 48, 28, 60)(17, 49, 24, 56, 20, 52, 25, 57)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 77, 109, 69, 101, 82, 114, 91, 123, 75, 107)(68, 100, 79, 111, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 92)(14, 93)(15, 85)(16, 67)(17, 86)(18, 89)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 82)(25, 73)(26, 77)(27, 96)(28, 75)(29, 83)(30, 78)(31, 91)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1, Y2^-4 * Y1^-2, Y2 * Y3 * Y2^-1 * Y1^-2 * Y3, (R * Y2 * Y3)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 20, 52, 13, 45)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 8, 40, 22, 54, 17, 49)(11, 43, 28, 60, 19, 51, 23, 55)(12, 44, 27, 59, 14, 46, 26, 58)(16, 48, 25, 57, 18, 50, 24, 56)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 75, 107, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 77, 109, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 78, 110, 93, 125, 82, 114, 85, 117, 76, 108, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 79, 111, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 93)(12, 67)(13, 90)(14, 84)(15, 69)(16, 86)(17, 89)(18, 70)(19, 94)(20, 78)(21, 71)(22, 80)(23, 95)(24, 72)(25, 81)(26, 77)(27, 74)(28, 96)(29, 75)(30, 83)(31, 87)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1, (Y2 * Y1^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y2 * Y1 * Y2^-3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 10, 42)(4, 36, 9, 41, 21, 53, 15, 47)(6, 38, 17, 49, 22, 54, 8, 40)(12, 44, 28, 60, 19, 51, 23, 55)(13, 45, 26, 58, 14, 46, 27, 59)(16, 48, 24, 56, 18, 50, 25, 57)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 75, 107, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 78, 110, 93, 125, 82, 114, 85, 117, 77, 109, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 79, 111, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 90)(12, 93)(13, 67)(14, 84)(15, 69)(16, 86)(17, 89)(18, 70)(19, 94)(20, 78)(21, 71)(22, 80)(23, 95)(24, 72)(25, 81)(26, 75)(27, 74)(28, 96)(29, 76)(30, 83)(31, 87)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^4, (Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 28, 60, 20, 52, 23, 55)(15, 47, 27, 59, 16, 48, 26, 58)(17, 49, 25, 57, 19, 51, 24, 56)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 77, 109, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 90)(14, 93)(15, 85)(16, 67)(17, 70)(18, 89)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 77)(28, 96)(29, 84)(30, 78)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 256>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 9, 41, 22, 54, 18, 50)(13, 45, 28, 60, 20, 52, 23, 55)(14, 46, 26, 58, 16, 48, 27, 59)(17, 49, 24, 56, 19, 51, 25, 57)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 78, 110, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 93)(14, 85)(15, 90)(16, 67)(17, 70)(18, 89)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 79)(28, 96)(29, 84)(30, 77)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y1^-4, Y3^2 * Y1^-2, (R * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^2 * Y1^-2, (Y3, Y2^-1), (R * Y3)^2, Y1^4, Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1, Y1), (R * Y1)^2, Y2^4 * Y1^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 19, 51, 27, 59)(14, 46, 25, 57, 16, 48, 24, 56)(17, 49, 28, 60, 20, 52, 26, 58)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 79, 111, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 79)(25, 73)(26, 82)(27, 96)(28, 75)(29, 83)(30, 77)(31, 91)(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, 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 E21.589
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (R * Y3)^2, Y1^-1 * Y3^2 * Y1^-1, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 20, 52, 28, 60)(15, 47, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 19, 51, 27, 59)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 77, 109, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 89)(14, 93)(15, 85)(16, 67)(17, 70)(18, 90)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 77)(25, 73)(26, 75)(27, 82)(28, 96)(29, 84)(30, 78)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^-1 * Y3^-2 * Y1^-1, Y3^-2 * Y1^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^4, (R * Y2)^2, (R * Y1)^2, (Y3, Y2^-1), Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, (Y2^-2 * Y3)^2, Y1^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 19, 51, 27, 59)(15, 47, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 28, 60)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 77, 109, 91, 123, 75, 107)(68, 100, 79, 111, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 89)(14, 93)(15, 85)(16, 67)(17, 86)(18, 92)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 77)(25, 73)(26, 82)(27, 96)(28, 75)(29, 83)(30, 78)(31, 91)(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, 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 E21.587
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^4, Y1 * Y3^2 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1), (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y2^-4 * Y1^2, (R * Y2 * Y3^-1)^2, Y2^-2 * R * Y2 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 20, 52, 28, 60)(14, 46, 25, 57, 16, 48, 24, 56)(17, 49, 27, 59, 19, 51, 26, 58)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 79, 111, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 78, 110, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 70)(18, 90)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 79)(25, 73)(26, 75)(27, 82)(28, 96)(29, 84)(30, 77)(31, 92)(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, 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 selfdual
Graph:: bipartite
	v = 12 e = 64 f = 12
	degree seq :: [ 8^8, 16^4 ]

E21.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^8, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 15, 47)(12, 44, 16, 48)(13, 45, 17, 49)(14, 46, 18, 50)(19, 51, 23, 55)(20, 52, 24, 56)(21, 53, 25, 57)(22, 54, 26, 58)(27, 59, 30, 62)(28, 60, 31, 63)(29, 61, 32, 64)(65, 97, 67, 99, 75, 107, 83, 115, 91, 123, 86, 118, 78, 110, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 90, 122, 82, 114, 73, 105)(68, 100, 70, 102, 76, 108, 84, 116, 92, 124, 93, 125, 85, 117, 77, 109)(72, 104, 74, 106, 80, 112, 88, 120, 95, 127, 96, 128, 89, 121, 81, 113)
	L = (1, 68)(2, 72)(3, 70)(4, 69)(5, 77)(6, 65)(7, 74)(8, 73)(9, 81)(10, 66)(11, 76)(12, 67)(13, 78)(14, 85)(15, 80)(16, 71)(17, 82)(18, 89)(19, 84)(20, 75)(21, 86)(22, 93)(23, 88)(24, 79)(25, 90)(26, 96)(27, 92)(28, 83)(29, 91)(30, 95)(31, 87)(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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.614
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 15, 47)(12, 44, 16, 48)(13, 45, 17, 49)(14, 46, 18, 50)(19, 51, 23, 55)(20, 52, 24, 56)(21, 53, 25, 57)(22, 54, 26, 58)(27, 59, 30, 62)(28, 60, 31, 63)(29, 61, 32, 64)(65, 97, 67, 99, 75, 107, 83, 115, 91, 123, 86, 118, 78, 110, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 90, 122, 82, 114, 73, 105)(68, 100, 74, 106, 80, 112, 88, 120, 95, 127, 93, 125, 85, 117, 77, 109)(70, 102, 76, 108, 84, 116, 92, 124, 96, 128, 89, 121, 81, 113, 72, 104)
	L = (1, 68)(2, 72)(3, 74)(4, 73)(5, 77)(6, 65)(7, 70)(8, 69)(9, 81)(10, 66)(11, 80)(12, 67)(13, 82)(14, 85)(15, 76)(16, 71)(17, 78)(18, 89)(19, 88)(20, 75)(21, 90)(22, 93)(23, 84)(24, 79)(25, 86)(26, 96)(27, 95)(28, 83)(29, 94)(30, 92)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.613
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y3^-2 * Y1^-2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1), (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^-6 * Y1^2, Y1^8, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 27, 59, 24, 56, 15, 47, 5, 37)(3, 35, 9, 41, 20, 52, 28, 60, 31, 63, 26, 58, 17, 49, 13, 45)(4, 36, 10, 42, 7, 39, 12, 44, 21, 53, 29, 61, 23, 55, 16, 48)(6, 38, 11, 43, 14, 46, 22, 54, 30, 62, 32, 64, 25, 57, 18, 50)(65, 97, 67, 99, 71, 103, 78, 110, 72, 104, 84, 116, 85, 117, 94, 126, 91, 123, 95, 127, 87, 119, 89, 121, 79, 111, 81, 113, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 86, 118, 83, 115, 92, 124, 93, 125, 96, 128, 88, 120, 90, 122, 80, 112, 82, 114, 69, 101, 77, 109, 74, 106, 75, 107)
	L = (1, 68)(2, 74)(3, 70)(4, 79)(5, 80)(6, 81)(7, 65)(8, 71)(9, 75)(10, 69)(11, 77)(12, 66)(13, 82)(14, 67)(15, 87)(16, 88)(17, 89)(18, 90)(19, 76)(20, 78)(21, 72)(22, 73)(23, 91)(24, 93)(25, 95)(26, 96)(27, 85)(28, 86)(29, 83)(30, 84)(31, 94)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.605
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (Y1, Y2^-1), Y3^2 * Y1^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^8, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 27, 59, 26, 58, 15, 47, 5, 37)(3, 35, 9, 41, 18, 50, 22, 54, 30, 62, 32, 64, 23, 55, 14, 46)(4, 36, 10, 42, 7, 39, 12, 44, 21, 53, 29, 61, 25, 57, 16, 48)(6, 38, 11, 43, 20, 52, 28, 60, 31, 63, 24, 56, 13, 45, 17, 49)(65, 97, 67, 99, 68, 100, 77, 109, 79, 111, 87, 119, 89, 121, 95, 127, 91, 123, 94, 126, 85, 117, 84, 116, 72, 104, 82, 114, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 81, 113, 69, 101, 78, 110, 80, 112, 88, 120, 90, 122, 96, 128, 93, 125, 92, 124, 83, 115, 86, 118, 76, 108, 75, 107)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 80)(6, 67)(7, 65)(8, 71)(9, 81)(10, 69)(11, 73)(12, 66)(13, 87)(14, 88)(15, 89)(16, 90)(17, 78)(18, 70)(19, 76)(20, 82)(21, 72)(22, 75)(23, 95)(24, 96)(25, 91)(26, 93)(27, 85)(28, 86)(29, 83)(30, 84)(31, 94)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.603
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^2 * Y3^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y2^2, Y3 * Y2 * Y3^2 * Y2, Y2^-1 * Y3^2 * Y2^-3, Y3^2 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 30, 62, 31, 63, 17, 49, 5, 37)(3, 35, 9, 41, 24, 56, 32, 64, 19, 51, 28, 60, 22, 54, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 13, 45, 25, 57, 21, 53, 18, 50)(6, 38, 11, 43, 14, 46, 26, 58, 16, 48, 27, 59, 29, 61, 20, 52)(65, 97, 67, 99, 77, 109, 93, 125, 81, 113, 86, 118, 71, 103, 80, 112, 94, 126, 83, 115, 68, 100, 78, 110, 72, 104, 88, 120, 85, 117, 70, 102)(66, 98, 73, 105, 89, 121, 84, 116, 69, 101, 79, 111, 76, 108, 91, 123, 95, 127, 92, 124, 74, 106, 90, 122, 87, 119, 96, 128, 82, 114, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 71)(9, 90)(10, 69)(11, 92)(12, 66)(13, 72)(14, 86)(15, 75)(16, 67)(17, 85)(18, 95)(19, 93)(20, 96)(21, 94)(22, 70)(23, 76)(24, 80)(25, 87)(26, 79)(27, 73)(28, 84)(29, 88)(30, 77)(31, 89)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.606
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y1^2 * Y3^2, (Y1 * Y3)^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^-2 * Y2^2 * Y3^-1, Y1 * Y2 * Y3^-1 * Y2 * Y1, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y3^-2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 29, 61, 32, 64, 17, 49, 5, 37)(3, 35, 9, 41, 19, 51, 26, 58, 22, 54, 28, 60, 30, 62, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 21, 53, 27, 59, 13, 45, 18, 50)(6, 38, 11, 43, 24, 56, 31, 63, 14, 46, 25, 57, 16, 48, 20, 52)(65, 97, 67, 99, 77, 109, 88, 120, 72, 104, 83, 115, 68, 100, 78, 110, 93, 125, 86, 118, 71, 103, 80, 112, 81, 113, 94, 126, 85, 117, 70, 102)(66, 98, 73, 105, 82, 114, 95, 127, 87, 119, 90, 122, 74, 106, 89, 121, 96, 128, 92, 124, 76, 108, 84, 116, 69, 101, 79, 111, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 71)(9, 89)(10, 69)(11, 90)(12, 66)(13, 93)(14, 94)(15, 95)(16, 67)(17, 77)(18, 96)(19, 80)(20, 73)(21, 72)(22, 70)(23, 76)(24, 86)(25, 79)(26, 84)(27, 87)(28, 75)(29, 85)(30, 88)(31, 92)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.604
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^2 * Y1^2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y1^-2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y1^6, (Y2^-1 * Y3)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 27, 59, 24, 56, 14, 46, 5, 37)(3, 35, 9, 41, 20, 52, 28, 60, 32, 64, 25, 57, 17, 49, 6, 38)(4, 36, 10, 42, 7, 39, 11, 43, 21, 53, 29, 61, 23, 55, 15, 47)(12, 44, 18, 50, 13, 45, 22, 54, 30, 62, 31, 63, 26, 58, 16, 48)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 84, 116, 83, 115, 92, 124, 91, 123, 96, 128, 88, 120, 89, 121, 78, 110, 81, 113, 69, 101, 70, 102)(68, 100, 76, 108, 74, 106, 82, 114, 71, 103, 77, 109, 75, 107, 86, 118, 85, 117, 94, 126, 93, 125, 95, 127, 87, 119, 90, 122, 79, 111, 80, 112)
	L = (1, 68)(2, 74)(3, 76)(4, 78)(5, 79)(6, 80)(7, 65)(8, 71)(9, 82)(10, 69)(11, 66)(12, 81)(13, 67)(14, 87)(15, 88)(16, 89)(17, 90)(18, 70)(19, 75)(20, 77)(21, 72)(22, 73)(23, 91)(24, 93)(25, 95)(26, 96)(27, 85)(28, 86)(29, 83)(30, 84)(31, 92)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.609
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^-2 * Y1^-2, (R * Y1)^2, Y2^2 * Y1 * Y3^-2, Y1 * Y2^2 * Y3^-2, Y3^-2 * Y2^-4, (Y2^-1 * Y3)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 21, 53, 27, 59, 13, 45, 17, 49, 5, 37)(3, 35, 9, 41, 20, 52, 6, 38, 11, 43, 23, 55, 30, 62, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 24, 56, 29, 61, 32, 64, 18, 50)(14, 46, 25, 57, 16, 48, 19, 51, 26, 58, 22, 54, 28, 60, 31, 63)(65, 97, 67, 99, 77, 109, 87, 119, 72, 104, 84, 116, 69, 101, 79, 111, 91, 123, 75, 107, 66, 98, 73, 105, 81, 113, 94, 126, 85, 117, 70, 102)(68, 100, 78, 110, 93, 125, 86, 118, 71, 103, 80, 112, 82, 114, 95, 127, 88, 120, 90, 122, 74, 106, 89, 121, 96, 128, 92, 124, 76, 108, 83, 115)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 71)(9, 89)(10, 69)(11, 90)(12, 66)(13, 93)(14, 94)(15, 95)(16, 67)(17, 96)(18, 77)(19, 73)(20, 80)(21, 76)(22, 70)(23, 86)(24, 72)(25, 79)(26, 84)(27, 88)(28, 75)(29, 85)(30, 92)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.608
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^-3 * Y1, Y1^2 * Y3^-1 * Y1, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2, Y1^-1), (Y3, Y2), (R * Y1)^2, Y1^-1 * Y2^3 * Y1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 9, 41, 21, 53, 14, 46, 24, 56, 16, 48, 25, 57, 15, 47)(6, 38, 11, 43, 22, 54, 17, 49, 26, 58, 20, 52, 28, 60, 18, 50)(13, 45, 23, 55, 31, 63, 29, 61, 32, 64, 30, 62, 19, 51, 27, 59)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 95, 127, 90, 122, 74, 106, 88, 120, 96, 128, 92, 124, 76, 108, 89, 121, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 81, 113, 68, 100, 78, 110, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 82, 114, 69, 101, 79, 111, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 89)(15, 85)(16, 67)(17, 92)(18, 86)(19, 87)(20, 70)(21, 80)(22, 84)(23, 96)(24, 79)(25, 73)(26, 82)(27, 95)(28, 75)(29, 83)(30, 77)(31, 94)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.612
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, (Y3, Y2^-1), Y3^-2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y3^2 * Y2^-1, Y3^8, Y1^-2 * Y3^2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 27, 59, 26, 58, 15, 47, 5, 37)(3, 35, 6, 38, 10, 42, 20, 52, 28, 60, 32, 64, 23, 55, 13, 45)(4, 36, 9, 41, 7, 39, 11, 43, 21, 53, 29, 61, 25, 57, 16, 48)(12, 44, 17, 49, 14, 46, 18, 50, 22, 54, 30, 62, 31, 63, 24, 56)(65, 97, 67, 99, 69, 101, 77, 109, 79, 111, 87, 119, 90, 122, 96, 128, 91, 123, 92, 124, 83, 115, 84, 116, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 76, 108, 80, 112, 88, 120, 89, 121, 95, 127, 93, 125, 94, 126, 85, 117, 86, 118, 75, 107, 82, 114, 71, 103, 78, 110, 73, 105, 81, 113)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 81)(7, 65)(8, 71)(9, 69)(10, 78)(11, 66)(12, 87)(13, 88)(14, 67)(15, 89)(16, 90)(17, 77)(18, 70)(19, 75)(20, 82)(21, 72)(22, 74)(23, 95)(24, 96)(25, 91)(26, 93)(27, 85)(28, 86)(29, 83)(30, 84)(31, 92)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.607
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (Y1^-1, Y2), (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3, Y3^-2 * Y1 * Y2^-2, Y2^-1 * Y3^2 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 13, 45, 25, 57, 21, 53, 17, 49, 5, 37)(3, 35, 9, 41, 23, 55, 29, 61, 20, 52, 6, 38, 11, 43, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 24, 56, 30, 62, 31, 63, 18, 50)(14, 46, 26, 58, 16, 48, 27, 59, 32, 64, 19, 51, 28, 60, 22, 54)(65, 97, 67, 99, 77, 109, 93, 125, 81, 113, 75, 107, 66, 98, 73, 105, 89, 121, 84, 116, 69, 101, 79, 111, 72, 104, 87, 119, 85, 117, 70, 102)(68, 100, 78, 110, 76, 108, 91, 123, 95, 127, 92, 124, 74, 106, 90, 122, 88, 120, 96, 128, 82, 114, 86, 118, 71, 103, 80, 112, 94, 126, 83, 115)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 83)(7, 65)(8, 71)(9, 90)(10, 69)(11, 92)(12, 66)(13, 76)(14, 75)(15, 86)(16, 67)(17, 95)(18, 85)(19, 93)(20, 96)(21, 94)(22, 70)(23, 80)(24, 72)(25, 88)(26, 79)(27, 73)(28, 84)(29, 91)(30, 77)(31, 89)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.610
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), Y3^2 * Y1^2, Y1^-1 * Y3^3, Y1^-2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (Y2, Y3), Y2^-4 * Y3^2, Y2^-3 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1^-2 * Y2 * Y3 * Y1^-1, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 9, 41, 21, 53, 14, 46, 24, 56, 16, 48, 25, 57, 15, 47)(6, 38, 11, 43, 22, 54, 17, 49, 26, 58, 20, 52, 28, 60, 18, 50)(13, 45, 23, 55, 19, 51, 27, 59, 31, 63, 30, 62, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122, 74, 106, 88, 120, 95, 127, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 79, 111, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113, 68, 100, 78, 110, 91, 123, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 91)(14, 89)(15, 85)(16, 67)(17, 92)(18, 86)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 79)(25, 73)(26, 82)(27, 96)(28, 75)(29, 83)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.611
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 8, 40, 14, 46, 16, 48, 22, 54, 24, 56, 28, 60, 29, 61, 20, 52, 21, 53, 12, 44, 13, 45, 4, 36, 5, 37)(3, 35, 7, 39, 11, 43, 15, 47, 19, 51, 23, 55, 27, 59, 30, 62, 31, 63, 32, 64, 25, 57, 26, 58, 17, 49, 18, 50, 9, 41, 10, 42)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 75, 107)(72, 104, 79, 111)(76, 108, 81, 113)(77, 109, 82, 114)(78, 110, 83, 115)(80, 112, 87, 119)(84, 116, 89, 121)(85, 117, 90, 122)(86, 118, 91, 123)(88, 120, 94, 126)(92, 124, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 69)(3, 73)(4, 76)(5, 77)(6, 65)(7, 74)(8, 66)(9, 81)(10, 82)(11, 67)(12, 84)(13, 85)(14, 70)(15, 71)(16, 72)(17, 89)(18, 90)(19, 75)(20, 92)(21, 93)(22, 78)(23, 79)(24, 80)(25, 95)(26, 96)(27, 83)(28, 86)(29, 88)(30, 87)(31, 91)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.594
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-2 * Y3, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^8, (Y3^-1 * Y1^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 8, 40, 12, 44, 16, 48, 20, 52, 24, 56, 28, 60, 29, 61, 22, 54, 21, 53, 14, 46, 13, 45, 6, 38, 5, 37)(3, 35, 7, 39, 9, 41, 15, 47, 17, 49, 23, 55, 25, 57, 30, 62, 31, 63, 32, 64, 27, 59, 26, 58, 19, 51, 18, 50, 11, 43, 10, 42)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 73, 105)(69, 101, 74, 106)(70, 102, 75, 107)(72, 104, 79, 111)(76, 108, 81, 113)(77, 109, 82, 114)(78, 110, 83, 115)(80, 112, 87, 119)(84, 116, 89, 121)(85, 117, 90, 122)(86, 118, 91, 123)(88, 120, 94, 126)(92, 124, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 72)(3, 73)(4, 76)(5, 66)(6, 65)(7, 79)(8, 80)(9, 81)(10, 71)(11, 67)(12, 84)(13, 69)(14, 70)(15, 87)(16, 88)(17, 89)(18, 74)(19, 75)(20, 92)(21, 77)(22, 78)(23, 94)(24, 93)(25, 95)(26, 82)(27, 83)(28, 86)(29, 85)(30, 96)(31, 91)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.596
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y3^3 * Y1^2, Y1^4 * Y3^-2, Y3^2 * Y1^-4, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 14, 46, 17, 49, 6, 38, 10, 42, 21, 53, 15, 47, 4, 36, 9, 41, 18, 50, 24, 56, 16, 48, 5, 37)(3, 35, 8, 40, 20, 52, 30, 62, 25, 57, 28, 60, 13, 45, 23, 55, 31, 63, 26, 58, 11, 43, 22, 54, 29, 61, 32, 64, 27, 59, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(83, 115, 94, 126)(85, 117, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 82)(8, 86)(9, 81)(10, 66)(11, 89)(12, 90)(13, 67)(14, 80)(15, 83)(16, 85)(17, 69)(18, 70)(19, 88)(20, 93)(21, 71)(22, 92)(23, 72)(24, 74)(25, 91)(26, 94)(27, 95)(28, 76)(29, 77)(30, 96)(31, 84)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.593
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y2)^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^3 * Y1^-2, Y3^-2 * Y1^-4, Y3^-2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 18, 50, 15, 47, 4, 36, 9, 41, 21, 53, 17, 49, 6, 38, 10, 42, 14, 46, 24, 56, 16, 48, 5, 37)(3, 35, 8, 40, 20, 52, 30, 62, 29, 61, 26, 58, 11, 43, 22, 54, 31, 63, 28, 60, 13, 45, 23, 55, 25, 57, 32, 64, 27, 59, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(83, 115, 94, 126)(85, 117, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 86)(9, 88)(10, 66)(11, 89)(12, 90)(13, 67)(14, 71)(15, 74)(16, 82)(17, 69)(18, 70)(19, 81)(20, 95)(21, 80)(22, 96)(23, 72)(24, 83)(25, 84)(26, 87)(27, 93)(28, 76)(29, 77)(30, 92)(31, 91)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.595
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2, Y1^-2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^8, Y3^-1 * Y1^12 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 14, 46, 18, 50, 24, 56, 30, 62, 28, 60, 32, 64, 27, 59, 21, 53, 12, 44, 17, 49, 11, 43, 5, 37)(3, 35, 8, 40, 6, 38, 10, 42, 16, 48, 23, 55, 22, 54, 26, 58, 31, 63, 29, 61, 20, 52, 25, 57, 19, 51, 13, 45, 4, 36, 9, 41)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 73, 105)(70, 102, 71, 103)(74, 106, 79, 111)(76, 108, 83, 115)(77, 109, 81, 113)(78, 110, 80, 112)(82, 114, 87, 119)(84, 116, 91, 123)(85, 117, 89, 121)(86, 118, 88, 120)(90, 122, 94, 126)(92, 124, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 76)(5, 77)(6, 65)(7, 67)(8, 69)(9, 81)(10, 66)(11, 83)(12, 84)(13, 85)(14, 70)(15, 72)(16, 71)(17, 89)(18, 74)(19, 91)(20, 92)(21, 93)(22, 78)(23, 79)(24, 80)(25, 96)(26, 82)(27, 95)(28, 86)(29, 94)(30, 87)(31, 88)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.600
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y2 * Y1^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y2)^2, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-1 * Y3^2 * Y1, Y3^8, (Y2 * Y3)^8, (Y3^-1 * Y1^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 12, 44, 17, 49, 24, 56, 30, 62, 28, 60, 32, 64, 27, 59, 21, 53, 14, 46, 18, 50, 11, 43, 5, 37)(3, 35, 8, 40, 4, 36, 9, 41, 16, 48, 23, 55, 20, 52, 25, 57, 31, 63, 29, 61, 22, 54, 26, 58, 19, 51, 13, 45, 6, 38, 10, 42)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 71, 103)(69, 101, 74, 106)(70, 102, 75, 107)(73, 105, 79, 111)(76, 108, 80, 112)(77, 109, 82, 114)(78, 110, 83, 115)(81, 113, 87, 119)(84, 116, 88, 120)(85, 117, 90, 122)(86, 118, 91, 123)(89, 121, 94, 126)(92, 124, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 71)(4, 76)(5, 72)(6, 65)(7, 80)(8, 79)(9, 81)(10, 66)(11, 67)(12, 84)(13, 69)(14, 70)(15, 87)(16, 88)(17, 89)(18, 74)(19, 75)(20, 92)(21, 77)(22, 78)(23, 94)(24, 95)(25, 96)(26, 82)(27, 83)(28, 86)(29, 85)(30, 93)(31, 91)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.598
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y2 * Y1^-1 * Y2, (Y1, Y3^-1), Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-4 * Y3^2, Y3 * Y2 * Y3^2 * Y1^2, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 14, 46, 25, 57, 13, 45, 24, 56, 32, 64, 28, 60, 11, 43, 23, 55, 18, 50, 26, 58, 16, 48, 5, 37)(3, 35, 8, 40, 20, 52, 30, 62, 27, 59, 17, 49, 6, 38, 10, 42, 22, 54, 15, 47, 4, 36, 9, 41, 21, 53, 31, 63, 29, 61, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 88, 120)(78, 110, 91, 123)(79, 111, 92, 124)(80, 112, 93, 125)(81, 113, 89, 121)(82, 114, 85, 117)(83, 115, 94, 126)(86, 118, 96, 128)(90, 122, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 87)(9, 89)(10, 66)(11, 91)(12, 92)(13, 67)(14, 93)(15, 83)(16, 86)(17, 69)(18, 70)(19, 95)(20, 82)(21, 77)(22, 71)(23, 81)(24, 72)(25, 76)(26, 74)(27, 80)(28, 94)(29, 96)(30, 90)(31, 88)(32, 84)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.597
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1), Y3^-2 * Y1^-4, Y2 * Y3^3 * Y1^-2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1, Y3^-8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 18, 50, 26, 58, 11, 43, 23, 55, 32, 64, 28, 60, 13, 45, 24, 56, 14, 46, 25, 57, 16, 48, 5, 37)(3, 35, 8, 40, 20, 52, 30, 62, 29, 61, 15, 47, 4, 36, 9, 41, 21, 53, 17, 49, 6, 38, 10, 42, 22, 54, 31, 63, 27, 59, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 88, 120)(78, 110, 86, 118)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(83, 115, 94, 126)(85, 117, 96, 128)(89, 121, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 87)(9, 89)(10, 66)(11, 86)(12, 90)(13, 67)(14, 84)(15, 88)(16, 93)(17, 69)(18, 70)(19, 81)(20, 96)(21, 80)(22, 71)(23, 95)(24, 72)(25, 94)(26, 74)(27, 82)(28, 76)(29, 77)(30, 92)(31, 83)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.601
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-4 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3, Y1^-4 * Y3^-2, Y2 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, Y3^-8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 18, 50, 26, 58, 28, 60, 12, 44, 3, 35, 8, 40, 20, 52, 30, 62, 14, 46, 25, 57, 16, 48, 5, 37)(4, 36, 9, 41, 21, 53, 17, 49, 6, 38, 10, 42, 22, 54, 27, 59, 11, 43, 23, 55, 32, 64, 29, 61, 13, 45, 24, 56, 31, 63, 15, 47)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 88, 120)(78, 110, 82, 114)(79, 111, 91, 123)(80, 112, 92, 124)(81, 113, 93, 125)(83, 115, 94, 126)(85, 117, 96, 128)(86, 118, 95, 127)(89, 121, 90, 122)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 87)(9, 89)(10, 66)(11, 82)(12, 91)(13, 67)(14, 77)(15, 94)(16, 95)(17, 69)(18, 70)(19, 81)(20, 96)(21, 80)(22, 71)(23, 90)(24, 72)(25, 88)(26, 74)(27, 83)(28, 86)(29, 76)(30, 93)(31, 84)(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) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.602
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y2 * Y1^-1 * Y2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^4, Y3^-1 * Y1 * Y3^-1 * Y1^3, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 14, 46, 25, 57, 28, 60, 12, 44, 3, 35, 8, 40, 20, 52, 31, 63, 18, 50, 26, 58, 16, 48, 5, 37)(4, 36, 9, 41, 21, 53, 29, 61, 13, 45, 24, 56, 32, 64, 27, 59, 11, 43, 23, 55, 30, 62, 17, 49, 6, 38, 10, 42, 22, 54, 15, 47)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 88, 120)(78, 110, 82, 114)(79, 111, 91, 123)(80, 112, 92, 124)(81, 113, 93, 125)(83, 115, 95, 127)(85, 117, 94, 126)(86, 118, 96, 128)(89, 121, 90, 122)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 87)(9, 89)(10, 66)(11, 82)(12, 91)(13, 67)(14, 77)(15, 83)(16, 86)(17, 69)(18, 70)(19, 93)(20, 94)(21, 92)(22, 71)(23, 90)(24, 72)(25, 88)(26, 74)(27, 95)(28, 96)(29, 76)(30, 80)(31, 81)(32, 84)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.599
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y2, (Y3, Y2^-1), Y1^-1 * Y3^-2 * Y2^-1, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2)^2, Y2 * Y1^-5, (Y1^3 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 15, 47, 3, 35, 9, 41, 20, 52, 29, 61, 26, 58, 13, 45, 6, 38, 11, 43, 22, 54, 18, 50, 5, 37)(4, 36, 10, 42, 21, 53, 30, 62, 27, 59, 14, 46, 7, 39, 12, 44, 23, 55, 31, 63, 25, 57, 16, 48, 24, 56, 32, 64, 28, 60, 17, 49)(65, 97, 67, 99, 77, 109, 69, 101, 79, 111, 90, 122, 82, 114, 83, 115, 93, 125, 86, 118, 72, 104, 84, 116, 75, 107, 66, 98, 73, 105, 70, 102)(68, 100, 78, 110, 89, 121, 81, 113, 91, 123, 95, 127, 92, 124, 94, 126, 87, 119, 96, 128, 85, 117, 76, 108, 88, 120, 74, 106, 71, 103, 80, 112)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 81)(6, 80)(7, 65)(8, 85)(9, 71)(10, 70)(11, 88)(12, 66)(13, 89)(14, 69)(15, 91)(16, 67)(17, 90)(18, 92)(19, 94)(20, 76)(21, 75)(22, 96)(23, 72)(24, 73)(25, 79)(26, 95)(27, 82)(28, 93)(29, 87)(30, 86)(31, 83)(32, 84)(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) :: { ( 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 E21.592
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C2 (small group id <32, 16>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), Y1^-1 * Y2^-2 * Y3^-1, Y3^2 * Y2^-2, (R * Y2)^2, (Y3^-1, Y1^-1), Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3, Y2^-1), Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-3 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^-3 * Y3 * Y1^-2, Y1^-2 * Y2^10 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 17, 49, 4, 36, 10, 42, 21, 53, 30, 62, 26, 58, 13, 45, 7, 39, 12, 44, 23, 55, 18, 50, 5, 37)(3, 35, 9, 41, 20, 52, 29, 61, 27, 59, 14, 46, 6, 38, 11, 43, 22, 54, 31, 63, 25, 57, 16, 48, 24, 56, 32, 64, 28, 60, 15, 47)(65, 97, 67, 99, 77, 109, 89, 121, 81, 113, 91, 123, 82, 114, 92, 124, 94, 126, 86, 118, 72, 104, 84, 116, 76, 108, 88, 120, 74, 106, 70, 102)(66, 98, 73, 105, 71, 103, 80, 112, 68, 100, 78, 110, 69, 101, 79, 111, 90, 122, 95, 127, 83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 81)(6, 80)(7, 65)(8, 85)(9, 70)(10, 71)(11, 88)(12, 66)(13, 69)(14, 89)(15, 91)(16, 67)(17, 90)(18, 83)(19, 94)(20, 75)(21, 76)(22, 96)(23, 72)(24, 73)(25, 79)(26, 82)(27, 95)(28, 93)(29, 86)(30, 87)(31, 92)(32, 84)(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) :: { ( 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 E21.591
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.615 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 16, 16})
Quotient :: edge^2
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y3 * Y2 * Y1 * Y3, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^-2 * Y3 * Y1^-1 * Y2^-1 * Y1^-3 * Y3 * Y1^-1, Y2^16, (Y1^-1 * Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 12, 44)(7, 39, 15, 47)(8, 40, 16, 48)(10, 42, 17, 49)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(18, 50, 25, 57)(19, 51, 27, 59)(20, 52, 30, 62)(22, 54, 32, 64)(26, 58, 29, 61)(28, 60, 31, 63)(65, 66, 69, 75, 84, 93, 89, 80, 88, 79, 87, 96, 92, 83, 74, 68)(67, 71, 76, 86, 94, 91, 82, 73, 78, 70, 77, 85, 95, 90, 81, 72)(97, 98, 101, 107, 116, 125, 121, 112, 120, 111, 119, 128, 124, 115, 106, 100)(99, 103, 108, 118, 126, 123, 114, 105, 110, 102, 109, 117, 127, 122, 113, 104)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.618
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.616 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 8, 16, 16})
Quotient :: edge^2
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-2 * Y1^-4, Y3^-3 * Y1^-1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y1, Y3)^2, Y2^16 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 10, 42, 25, 57, 32, 64, 23, 55, 17, 49, 5, 37)(2, 34, 7, 39, 22, 54, 15, 47, 27, 59, 9, 41, 26, 58, 8, 40)(4, 36, 12, 44, 28, 60, 16, 48, 29, 61, 11, 43, 18, 50, 14, 46)(6, 38, 19, 51, 13, 45, 24, 56, 31, 63, 21, 53, 30, 62, 20, 52)(65, 66, 70, 82, 81, 90, 94, 93, 96, 91, 95, 92, 74, 86, 77, 68)(67, 73, 83, 80, 69, 79, 84, 76, 87, 71, 85, 78, 89, 72, 88, 75)(97, 98, 102, 114, 113, 122, 126, 125, 128, 123, 127, 124, 106, 118, 109, 100)(99, 105, 115, 112, 101, 111, 116, 108, 119, 103, 117, 110, 121, 104, 120, 107)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.617
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.617 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 16, 16})
Quotient :: loop^2
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-2 * Y3 * Y2 * Y1 * Y3, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^-2 * Y3 * Y1^-1 * Y2^-1 * Y1^-3 * Y3 * Y1^-1, Y2^16, (Y1^-1 * Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 15, 47, 79, 111)(8, 40, 72, 104, 16, 48, 80, 112)(10, 42, 74, 106, 17, 49, 81, 113)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(18, 50, 82, 114, 25, 57, 89, 121)(19, 51, 83, 115, 27, 59, 91, 123)(20, 52, 84, 116, 30, 62, 94, 126)(22, 54, 86, 118, 32, 64, 96, 128)(26, 58, 90, 122, 29, 61, 93, 125)(28, 60, 92, 124, 31, 63, 95, 127)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 43)(6, 45)(7, 44)(8, 35)(9, 46)(10, 36)(11, 52)(12, 54)(13, 53)(14, 38)(15, 55)(16, 56)(17, 40)(18, 41)(19, 42)(20, 61)(21, 63)(22, 62)(23, 64)(24, 47)(25, 48)(26, 49)(27, 50)(28, 51)(29, 57)(30, 59)(31, 58)(32, 60)(65, 98)(66, 101)(67, 103)(68, 97)(69, 107)(70, 109)(71, 108)(72, 99)(73, 110)(74, 100)(75, 116)(76, 118)(77, 117)(78, 102)(79, 119)(80, 120)(81, 104)(82, 105)(83, 106)(84, 125)(85, 127)(86, 126)(87, 128)(88, 111)(89, 112)(90, 113)(91, 114)(92, 115)(93, 121)(94, 123)(95, 122)(96, 124)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.616
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.618 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 8, 16, 16})
Quotient :: loop^2
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-2 * Y1^-4, Y3^-3 * Y1^-1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y1, Y3)^2, Y2^16 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 25, 57, 89, 121, 32, 64, 96, 128, 23, 55, 87, 119, 17, 49, 81, 113, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 22, 54, 86, 118, 15, 47, 79, 111, 27, 59, 91, 123, 9, 41, 73, 105, 26, 58, 90, 122, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 28, 60, 92, 124, 16, 48, 80, 112, 29, 61, 93, 125, 11, 43, 75, 107, 18, 50, 82, 114, 14, 46, 78, 110)(6, 38, 70, 102, 19, 51, 83, 115, 13, 45, 77, 109, 24, 56, 88, 120, 31, 63, 95, 127, 21, 53, 85, 117, 30, 62, 94, 126, 20, 52, 84, 116)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 50)(7, 53)(8, 56)(9, 51)(10, 54)(11, 35)(12, 55)(13, 36)(14, 57)(15, 52)(16, 37)(17, 58)(18, 49)(19, 48)(20, 44)(21, 46)(22, 45)(23, 39)(24, 43)(25, 40)(26, 62)(27, 63)(28, 42)(29, 64)(30, 61)(31, 60)(32, 59)(65, 98)(66, 102)(67, 105)(68, 97)(69, 111)(70, 114)(71, 117)(72, 120)(73, 115)(74, 118)(75, 99)(76, 119)(77, 100)(78, 121)(79, 116)(80, 101)(81, 122)(82, 113)(83, 112)(84, 108)(85, 110)(86, 109)(87, 103)(88, 107)(89, 104)(90, 126)(91, 127)(92, 106)(93, 128)(94, 125)(95, 124)(96, 123)
	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 E21.615
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y2^-2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 13, 45)(5, 37, 9, 41)(6, 38, 16, 48)(8, 40, 19, 51)(10, 42, 22, 54)(11, 43, 17, 49)(12, 44, 25, 57)(14, 46, 20, 52)(15, 47, 30, 62)(18, 50, 29, 61)(21, 53, 24, 56)(23, 55, 31, 63)(26, 58, 28, 60)(27, 59, 32, 64)(65, 97, 67, 99, 75, 107, 87, 119, 96, 128, 92, 124, 78, 110, 69, 101)(66, 98, 71, 103, 81, 113, 95, 127, 91, 123, 90, 122, 84, 116, 73, 105)(68, 100, 76, 108, 88, 120, 86, 118, 83, 115, 93, 125, 79, 111, 70, 102)(72, 104, 82, 114, 94, 126, 80, 112, 77, 109, 89, 121, 85, 117, 74, 106)
	L = (1, 68)(2, 72)(3, 76)(4, 67)(5, 70)(6, 65)(7, 82)(8, 71)(9, 74)(10, 66)(11, 88)(12, 75)(13, 90)(14, 79)(15, 69)(16, 91)(17, 94)(18, 81)(19, 92)(20, 85)(21, 73)(22, 96)(23, 86)(24, 87)(25, 84)(26, 89)(27, 77)(28, 93)(29, 78)(30, 95)(31, 80)(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) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.640
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (Y1^-1 * Y3^-1)^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^2 * Y3^-6 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 32, 64, 29, 61, 16, 48, 5, 37)(3, 35, 13, 45, 24, 56, 19, 51, 26, 58, 9, 41, 18, 50, 14, 46)(4, 36, 10, 42, 7, 39, 12, 44, 25, 57, 30, 62, 31, 63, 17, 49)(6, 38, 21, 53, 15, 47, 20, 52, 28, 60, 11, 43, 27, 59, 22, 54)(65, 97, 67, 99, 71, 103, 79, 111, 72, 104, 88, 120, 89, 121, 92, 124, 96, 128, 90, 122, 95, 127, 91, 123, 80, 112, 82, 114, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 86, 118, 87, 119, 78, 110, 94, 126, 85, 117, 93, 125, 77, 109, 81, 113, 84, 116, 69, 101, 83, 115, 74, 106, 75, 107)
	L = (1, 68)(2, 74)(3, 70)(4, 80)(5, 81)(6, 82)(7, 65)(8, 71)(9, 75)(10, 69)(11, 83)(12, 66)(13, 85)(14, 86)(15, 67)(16, 95)(17, 93)(18, 91)(19, 84)(20, 77)(21, 78)(22, 73)(23, 76)(24, 79)(25, 72)(26, 92)(27, 90)(28, 88)(29, 94)(30, 87)(31, 96)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.634
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 32, 64, 30, 62, 16, 48, 5, 37)(3, 35, 13, 45, 22, 54, 18, 50, 27, 59, 9, 41, 26, 58, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 25, 57, 29, 61, 31, 63, 17, 49)(6, 38, 20, 52, 24, 56, 19, 51, 28, 60, 11, 43, 14, 46, 21, 53)(65, 97, 67, 99, 68, 100, 78, 110, 80, 112, 90, 122, 95, 127, 92, 124, 96, 128, 91, 123, 89, 121, 88, 120, 72, 104, 86, 118, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 83, 115, 69, 101, 82, 114, 81, 113, 84, 116, 94, 126, 77, 109, 93, 125, 85, 117, 87, 119, 79, 111, 76, 108, 75, 107)
	L = (1, 68)(2, 74)(3, 78)(4, 80)(5, 81)(6, 67)(7, 65)(8, 71)(9, 83)(10, 69)(11, 73)(12, 66)(13, 85)(14, 90)(15, 75)(16, 95)(17, 94)(18, 84)(19, 82)(20, 77)(21, 79)(22, 70)(23, 76)(24, 86)(25, 72)(26, 92)(27, 88)(28, 91)(29, 87)(30, 93)(31, 96)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.632
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3^-1, Y2), (R * Y1)^2, Y1^2 * Y3^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-2 * Y3^-1 * Y1, Y3 * Y2^-4 * Y3, Y3 * Y1^-4 * 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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 27, 59, 32, 64, 31, 63, 18, 50, 5, 37)(3, 35, 13, 45, 28, 60, 21, 53, 20, 52, 9, 41, 26, 58, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44, 14, 46, 29, 61, 25, 57, 19, 51)(6, 38, 23, 55, 15, 47, 22, 54, 17, 49, 11, 43, 30, 62, 24, 56)(65, 97, 67, 99, 78, 110, 94, 126, 82, 114, 90, 122, 71, 103, 81, 113, 96, 128, 84, 116, 68, 100, 79, 111, 72, 104, 92, 124, 89, 121, 70, 102)(66, 98, 73, 105, 93, 125, 86, 118, 69, 101, 85, 117, 76, 108, 87, 119, 95, 127, 77, 109, 74, 106, 88, 120, 91, 123, 80, 112, 83, 115, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 71)(9, 88)(10, 69)(11, 77)(12, 66)(13, 86)(14, 72)(15, 90)(16, 87)(17, 67)(18, 89)(19, 95)(20, 94)(21, 75)(22, 80)(23, 73)(24, 85)(25, 96)(26, 70)(27, 76)(28, 81)(29, 91)(30, 92)(31, 93)(32, 78)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.635
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y1^2 * Y3^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), (R * Y1)^2, Y3^-3 * Y2^2, Y3 * Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y3 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y2^4 * Y3^2, Y3^2 * Y2^4, Y3^-2 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 27, 59, 32, 64, 31, 63, 18, 50, 5, 37)(3, 35, 13, 45, 20, 52, 21, 53, 26, 58, 9, 41, 29, 61, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44, 25, 57, 30, 62, 14, 46, 19, 51)(6, 38, 23, 55, 28, 60, 22, 54, 15, 47, 11, 43, 17, 49, 24, 56)(65, 97, 67, 99, 78, 110, 92, 124, 72, 104, 84, 116, 68, 100, 79, 111, 96, 128, 90, 122, 71, 103, 81, 113, 82, 114, 93, 125, 89, 121, 70, 102)(66, 98, 73, 105, 83, 115, 88, 120, 91, 123, 80, 112, 74, 106, 87, 119, 95, 127, 77, 109, 76, 108, 86, 118, 69, 101, 85, 117, 94, 126, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 83)(6, 84)(7, 65)(8, 71)(9, 87)(10, 69)(11, 80)(12, 66)(13, 75)(14, 96)(15, 93)(16, 86)(17, 67)(18, 78)(19, 95)(20, 81)(21, 88)(22, 73)(23, 85)(24, 77)(25, 72)(26, 70)(27, 76)(28, 90)(29, 92)(30, 91)(31, 94)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.633
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, Y3 * Y1^2 * Y3, (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 32, 64, 29, 61, 15, 47, 5, 37)(3, 35, 9, 41, 24, 56, 31, 63, 28, 60, 30, 62, 18, 50, 6, 38)(4, 36, 10, 42, 7, 39, 11, 43, 25, 57, 26, 58, 27, 59, 16, 48)(12, 44, 20, 52, 13, 45, 17, 49, 14, 46, 22, 54, 21, 53, 19, 51)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 88, 120, 87, 119, 95, 127, 96, 128, 92, 124, 93, 125, 94, 126, 79, 111, 82, 114, 69, 101, 70, 102)(68, 100, 78, 110, 74, 106, 86, 118, 71, 103, 85, 117, 75, 107, 83, 115, 89, 121, 76, 108, 90, 122, 84, 116, 91, 123, 77, 109, 80, 112, 81, 113)
	L = (1, 68)(2, 74)(3, 76)(4, 79)(5, 80)(6, 83)(7, 65)(8, 71)(9, 84)(10, 69)(11, 66)(12, 82)(13, 67)(14, 88)(15, 91)(16, 93)(17, 73)(18, 85)(19, 94)(20, 70)(21, 92)(22, 95)(23, 75)(24, 77)(25, 72)(26, 87)(27, 96)(28, 78)(29, 90)(30, 86)(31, 81)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.637
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-2, (Y1^-1, Y3^-1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y3^-2 * Y2, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y3^-2 * Y1 * Y2^2, Y3^-2 * Y2^-4, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 29, 61, 13, 45, 18, 50, 5, 37)(3, 35, 9, 41, 21, 53, 6, 38, 11, 43, 27, 59, 31, 63, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 28, 60, 30, 62, 32, 64, 19, 51)(14, 46, 26, 58, 16, 48, 22, 54, 17, 49, 24, 56, 25, 57, 20, 52)(65, 97, 67, 99, 77, 109, 91, 123, 72, 104, 85, 117, 69, 101, 79, 111, 93, 125, 75, 107, 66, 98, 73, 105, 82, 114, 95, 127, 87, 119, 70, 102)(68, 100, 81, 113, 94, 126, 90, 122, 71, 103, 89, 121, 83, 115, 86, 118, 92, 124, 78, 110, 74, 106, 88, 120, 96, 128, 80, 112, 76, 108, 84, 116)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 86)(7, 65)(8, 71)(9, 90)(10, 69)(11, 81)(12, 66)(13, 94)(14, 95)(15, 84)(16, 67)(17, 85)(18, 96)(19, 77)(20, 91)(21, 80)(22, 73)(23, 76)(24, 70)(25, 75)(26, 79)(27, 88)(28, 72)(29, 92)(30, 87)(31, 89)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.638
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3, Y1^-1), Y3 * Y1^-3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1, Y3^2 * Y1^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^3 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 13, 45, 21, 53, 15, 47, 25, 57, 9, 41, 23, 55, 16, 48)(6, 38, 19, 51, 22, 54, 18, 50, 26, 58, 11, 43, 27, 59, 17, 49)(14, 46, 24, 56, 31, 63, 30, 62, 32, 64, 29, 61, 20, 52, 28, 60)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 95, 127, 90, 122, 74, 106, 89, 121, 96, 128, 91, 123, 76, 108, 87, 119, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 81, 113, 68, 100, 80, 112, 94, 126, 83, 115, 71, 103, 77, 109, 93, 125, 82, 114, 69, 101, 79, 111, 92, 124, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 76)(5, 72)(6, 82)(7, 65)(8, 71)(9, 67)(10, 69)(11, 70)(12, 66)(13, 89)(14, 94)(15, 87)(16, 85)(17, 86)(18, 91)(19, 90)(20, 88)(21, 73)(22, 75)(23, 77)(24, 96)(25, 80)(26, 81)(27, 83)(28, 95)(29, 78)(30, 84)(31, 93)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.631
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (Y1 * Y3)^2, Y3 * Y1^2 * Y3, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3, Y3 * Y2 * Y1^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-6, (Y3^-2 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 32, 64, 30, 62, 16, 48, 5, 37)(3, 35, 6, 38, 10, 42, 24, 56, 29, 61, 31, 63, 26, 58, 13, 45)(4, 36, 9, 41, 7, 39, 11, 43, 25, 57, 27, 59, 28, 60, 17, 49)(12, 44, 19, 51, 14, 46, 20, 52, 15, 47, 18, 50, 21, 53, 22, 54)(65, 97, 67, 99, 69, 101, 77, 109, 80, 112, 90, 122, 94, 126, 95, 127, 96, 128, 93, 125, 87, 119, 88, 120, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 79, 111, 81, 113, 84, 116, 92, 124, 78, 110, 91, 123, 83, 115, 89, 121, 76, 108, 75, 107, 86, 118, 71, 103, 85, 117, 73, 105, 82, 114)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 81)(6, 83)(7, 65)(8, 71)(9, 69)(10, 78)(11, 66)(12, 90)(13, 86)(14, 67)(15, 74)(16, 92)(17, 94)(18, 88)(19, 77)(20, 70)(21, 93)(22, 95)(23, 75)(24, 84)(25, 72)(26, 85)(27, 87)(28, 96)(29, 79)(30, 91)(31, 82)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.639
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (Y1, Y2), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1, R * Y2 * R * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^4, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 13, 45, 29, 61, 23, 55, 18, 50, 5, 37)(3, 35, 9, 41, 27, 59, 30, 62, 21, 53, 6, 38, 11, 43, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44, 28, 60, 31, 63, 32, 64, 19, 51)(14, 46, 20, 52, 16, 48, 26, 58, 17, 49, 22, 54, 25, 57, 24, 56)(65, 97, 67, 99, 77, 109, 94, 126, 82, 114, 75, 107, 66, 98, 73, 105, 93, 125, 85, 117, 69, 101, 79, 111, 72, 104, 91, 123, 87, 119, 70, 102)(68, 100, 81, 113, 76, 108, 88, 120, 96, 128, 80, 112, 74, 106, 86, 118, 92, 124, 78, 110, 83, 115, 90, 122, 71, 103, 89, 121, 95, 127, 84, 116)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 83)(6, 86)(7, 65)(8, 71)(9, 84)(10, 69)(11, 89)(12, 66)(13, 76)(14, 75)(15, 88)(16, 67)(17, 91)(18, 96)(19, 87)(20, 79)(21, 81)(22, 94)(23, 95)(24, 70)(25, 85)(26, 73)(27, 80)(28, 72)(29, 92)(30, 90)(31, 77)(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) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.636
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, (Y1, Y3), Y1^-1 * Y3^-2 * Y1^-1, Y1^-2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^2 * Y3 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^2 * Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 13, 45, 21, 53, 15, 47, 25, 57, 9, 41, 23, 55, 16, 48)(6, 38, 19, 51, 22, 54, 18, 50, 26, 58, 11, 43, 27, 59, 17, 49)(14, 46, 24, 56, 20, 52, 28, 60, 31, 63, 29, 61, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 91, 123, 76, 108, 87, 119, 96, 128, 90, 122, 74, 106, 89, 121, 95, 127, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 82, 114, 69, 101, 79, 111, 94, 126, 83, 115, 71, 103, 77, 109, 93, 125, 81, 113, 68, 100, 80, 112, 92, 124, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 76)(5, 72)(6, 82)(7, 65)(8, 71)(9, 67)(10, 69)(11, 70)(12, 66)(13, 89)(14, 92)(15, 87)(16, 85)(17, 86)(18, 91)(19, 90)(20, 93)(21, 73)(22, 75)(23, 77)(24, 95)(25, 80)(26, 81)(27, 83)(28, 96)(29, 78)(30, 84)(31, 94)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.630
Graph:: bipartite
	v = 6 e = 64 f = 18
	degree seq :: [ 16^4, 32^2 ]

E21.630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3, Y3^4 * Y2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-3, Y1^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 23, 55, 22, 54, 30, 62, 31, 63, 12, 44, 3, 35, 8, 40, 24, 56, 32, 64, 15, 47, 28, 60, 18, 50, 5, 37)(4, 36, 14, 46, 25, 57, 21, 53, 6, 38, 20, 52, 26, 58, 17, 49, 11, 43, 9, 41, 27, 59, 19, 51, 13, 45, 10, 42, 29, 61, 16, 48)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 88, 120)(73, 105, 78, 110)(74, 106, 84, 116)(79, 111, 86, 118)(80, 112, 81, 113)(82, 114, 95, 127)(83, 115, 85, 117)(87, 119, 96, 128)(89, 121, 91, 123)(90, 122, 93, 125)(92, 124, 94, 126)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 89)(8, 78)(9, 92)(10, 66)(11, 86)(12, 80)(13, 67)(14, 94)(15, 77)(16, 87)(17, 96)(18, 93)(19, 69)(20, 72)(21, 76)(22, 70)(23, 83)(24, 91)(25, 82)(26, 71)(27, 95)(28, 84)(29, 88)(30, 74)(31, 90)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.629
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3^4 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, (Y3 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 23, 55, 15, 47, 28, 60, 31, 63, 12, 44, 3, 35, 8, 40, 24, 56, 32, 64, 22, 54, 30, 62, 18, 50, 5, 37)(4, 36, 14, 46, 25, 57, 19, 51, 13, 45, 10, 42, 29, 61, 17, 49, 11, 43, 9, 41, 27, 59, 21, 53, 6, 38, 20, 52, 26, 58, 16, 48)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 88, 120)(73, 105, 78, 110)(74, 106, 84, 116)(79, 111, 86, 118)(80, 112, 81, 113)(82, 114, 95, 127)(83, 115, 85, 117)(87, 119, 96, 128)(89, 121, 91, 123)(90, 122, 93, 125)(92, 124, 94, 126)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 89)(8, 78)(9, 92)(10, 66)(11, 86)(12, 80)(13, 67)(14, 94)(15, 77)(16, 96)(17, 87)(18, 90)(19, 69)(20, 72)(21, 76)(22, 70)(23, 85)(24, 91)(25, 95)(26, 71)(27, 82)(28, 84)(29, 88)(30, 74)(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) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.626
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.632 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y3^-3 * Y2, Y3^8, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 8, 40, 16, 48, 20, 52, 31, 63, 25, 57, 32, 64, 21, 53, 27, 59, 28, 60, 13, 45, 14, 46, 4, 36, 5, 37)(3, 35, 9, 41, 12, 44, 22, 54, 26, 58, 29, 61, 30, 62, 15, 47, 18, 50, 7, 39, 17, 49, 19, 51, 23, 55, 24, 56, 10, 42, 11, 43)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 79, 111)(70, 102, 76, 108)(72, 104, 83, 115)(73, 105, 85, 117)(75, 107, 89, 121)(77, 109, 87, 119)(78, 110, 93, 125)(80, 112, 90, 122)(81, 113, 91, 123)(82, 114, 96, 128)(84, 116, 88, 120)(86, 118, 92, 124)(94, 126, 95, 127)
	L = (1, 68)(2, 69)(3, 74)(4, 77)(5, 78)(6, 65)(7, 79)(8, 66)(9, 75)(10, 87)(11, 88)(12, 67)(13, 91)(14, 92)(15, 93)(16, 70)(17, 82)(18, 94)(19, 71)(20, 72)(21, 89)(22, 73)(23, 81)(24, 83)(25, 84)(26, 76)(27, 96)(28, 85)(29, 86)(30, 90)(31, 80)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.621
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.633 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y2 * Y3^2 * Y1 * Y2, Y3^8, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 8, 40, 13, 45, 20, 52, 27, 59, 24, 56, 32, 64, 21, 53, 31, 63, 30, 62, 16, 48, 15, 47, 6, 38, 5, 37)(3, 35, 9, 41, 10, 42, 22, 54, 23, 55, 29, 61, 28, 60, 14, 46, 19, 51, 7, 39, 17, 49, 18, 50, 26, 58, 25, 57, 12, 44, 11, 43)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 76, 108)(72, 104, 82, 114)(73, 105, 85, 117)(75, 107, 88, 120)(77, 109, 87, 119)(79, 111, 93, 125)(80, 112, 90, 122)(81, 113, 95, 127)(83, 115, 96, 128)(84, 116, 89, 121)(86, 118, 94, 126)(91, 123, 92, 124)
	L = (1, 68)(2, 72)(3, 74)(4, 77)(5, 66)(6, 65)(7, 82)(8, 84)(9, 86)(10, 87)(11, 73)(12, 67)(13, 91)(14, 71)(15, 69)(16, 70)(17, 90)(18, 89)(19, 81)(20, 88)(21, 94)(22, 93)(23, 92)(24, 85)(25, 75)(26, 76)(27, 96)(28, 83)(29, 78)(30, 79)(31, 80)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.623
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1^2 * Y3^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^2 * Y1^-4, Y3 * Y1^-3 * Y3 * Y1^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 21, 53, 15, 47, 19, 51, 6, 38, 10, 42, 23, 55, 16, 48, 4, 36, 9, 41, 20, 52, 26, 58, 18, 50, 5, 37)(3, 35, 11, 43, 22, 54, 24, 56, 28, 60, 30, 62, 14, 46, 17, 49, 25, 57, 8, 40, 12, 44, 27, 59, 31, 63, 32, 64, 29, 61, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 86, 118)(73, 105, 88, 120)(74, 106, 77, 109)(75, 107, 80, 112)(79, 111, 92, 124)(82, 114, 93, 125)(83, 115, 96, 128)(84, 116, 95, 127)(85, 117, 91, 123)(87, 119, 89, 121)(90, 122, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 84)(8, 88)(9, 83)(10, 66)(11, 91)(12, 92)(13, 72)(14, 67)(15, 82)(16, 85)(17, 75)(18, 87)(19, 69)(20, 70)(21, 90)(22, 95)(23, 71)(24, 96)(25, 86)(26, 74)(27, 94)(28, 93)(29, 89)(30, 77)(31, 78)(32, 81)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.620
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1^2 * Y3^-2, Y1 * Y3 * Y2 * Y1 * Y2, Y3^-2 * Y1^-4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2, 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 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 21, 53, 20, 52, 16, 48, 4, 36, 9, 41, 23, 55, 19, 51, 6, 38, 10, 42, 15, 47, 26, 58, 18, 50, 5, 37)(3, 35, 11, 43, 22, 54, 25, 57, 31, 63, 29, 61, 12, 44, 17, 49, 24, 56, 8, 40, 14, 46, 27, 59, 28, 60, 32, 64, 30, 62, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 86, 118)(73, 105, 77, 109)(74, 106, 89, 121)(75, 107, 83, 115)(79, 111, 92, 124)(80, 112, 96, 128)(82, 114, 94, 126)(84, 116, 95, 127)(85, 117, 91, 123)(87, 119, 88, 120)(90, 122, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 87)(8, 77)(9, 90)(10, 66)(11, 81)(12, 92)(13, 93)(14, 67)(15, 71)(16, 74)(17, 96)(18, 84)(19, 69)(20, 70)(21, 83)(22, 88)(23, 82)(24, 94)(25, 72)(26, 85)(27, 75)(28, 86)(29, 91)(30, 95)(31, 78)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.622
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3^-1 * Y2, Y1^-2 * Y3^-1 * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y1^-2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^2, Y1^-1 * Y2 * Y1^-1 * Y3^3, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 18, 50, 26, 58, 30, 62, 28, 60, 32, 64, 27, 59, 31, 63, 29, 61, 14, 46, 23, 55, 12, 44, 5, 37)(3, 35, 11, 43, 6, 38, 17, 49, 20, 52, 16, 48, 24, 56, 9, 41, 22, 54, 8, 40, 21, 53, 10, 42, 25, 57, 15, 47, 4, 36, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 73, 105)(70, 102, 71, 103)(74, 106, 83, 115)(75, 107, 91, 123)(77, 109, 92, 124)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 87, 119)(81, 113, 93, 125)(82, 114, 84, 116)(85, 117, 95, 127)(86, 118, 96, 128)(88, 120, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 78)(5, 80)(6, 65)(7, 67)(8, 69)(9, 87)(10, 66)(11, 92)(12, 89)(13, 90)(14, 85)(15, 83)(16, 93)(17, 91)(18, 70)(19, 72)(20, 71)(21, 96)(22, 94)(23, 81)(24, 82)(25, 95)(26, 74)(27, 77)(28, 79)(29, 75)(30, 84)(31, 86)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.628
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-1 * Y2 * Y3, Y1^-2 * Y3 * Y2, (R * Y3)^2, Y1^-2 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1 * Y2, Y1^5 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1, Y3^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 15, 47, 24, 56, 30, 62, 29, 61, 32, 64, 27, 59, 31, 63, 28, 60, 18, 50, 26, 58, 13, 45, 5, 37)(3, 35, 11, 43, 4, 36, 14, 46, 20, 52, 16, 48, 25, 57, 10, 42, 22, 54, 8, 40, 21, 53, 9, 41, 23, 55, 17, 49, 6, 38, 12, 44)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 71, 103)(69, 101, 74, 106)(70, 102, 77, 109)(73, 105, 83, 115)(75, 107, 91, 123)(76, 108, 93, 125)(78, 110, 92, 124)(79, 111, 84, 116)(80, 112, 90, 122)(81, 113, 88, 120)(82, 114, 87, 119)(85, 117, 95, 127)(86, 118, 96, 128)(89, 121, 94, 126)
	L = (1, 68)(2, 73)(3, 71)(4, 79)(5, 72)(6, 65)(7, 84)(8, 83)(9, 88)(10, 66)(11, 92)(12, 91)(13, 67)(14, 90)(15, 89)(16, 69)(17, 93)(18, 70)(19, 81)(20, 94)(21, 82)(22, 95)(23, 77)(24, 76)(25, 96)(26, 74)(27, 78)(28, 80)(29, 75)(30, 86)(31, 87)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.624
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1^3 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3^2 * Y1 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^3 * Y1 * Y3 * Y1^-1, (Y1^-1, Y3)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 21, 53, 15, 47, 28, 60, 13, 45, 26, 58, 32, 64, 31, 63, 12, 44, 25, 57, 20, 52, 30, 62, 17, 49, 5, 37)(3, 35, 11, 43, 22, 54, 9, 41, 27, 59, 19, 51, 6, 38, 16, 48, 24, 56, 8, 40, 4, 36, 14, 46, 23, 55, 18, 50, 29, 61, 10, 42)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 80, 112)(70, 102, 77, 109)(71, 103, 86, 118)(73, 105, 89, 121)(74, 106, 90, 122)(75, 107, 95, 127)(78, 110, 85, 117)(79, 111, 91, 123)(81, 113, 93, 125)(82, 114, 92, 124)(83, 115, 94, 126)(84, 116, 87, 119)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 75)(6, 65)(7, 87)(8, 89)(9, 92)(10, 66)(11, 85)(12, 91)(13, 67)(14, 94)(15, 93)(16, 95)(17, 88)(18, 69)(19, 90)(20, 70)(21, 83)(22, 84)(23, 77)(24, 71)(25, 82)(26, 72)(27, 81)(28, 80)(29, 96)(30, 74)(31, 78)(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, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.625
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y3 * Y1^-3 * Y3 * Y1^-1, Y3^3 * Y1^-1 * Y3 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 21, 53, 20, 52, 30, 62, 12, 44, 25, 57, 32, 64, 31, 63, 13, 45, 26, 58, 15, 47, 27, 59, 18, 50, 5, 37)(3, 35, 11, 43, 22, 54, 10, 42, 29, 61, 16, 48, 4, 36, 14, 46, 23, 55, 8, 40, 6, 38, 19, 51, 24, 56, 17, 49, 28, 60, 9, 41)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 78, 110)(70, 102, 77, 109)(71, 103, 86, 118)(73, 105, 89, 121)(74, 106, 90, 122)(75, 107, 95, 127)(79, 111, 88, 120)(80, 112, 91, 123)(81, 113, 94, 126)(82, 114, 92, 124)(83, 115, 85, 117)(84, 116, 93, 125)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 81)(6, 65)(7, 87)(8, 89)(9, 91)(10, 66)(11, 69)(12, 88)(13, 67)(14, 94)(15, 86)(16, 85)(17, 90)(18, 93)(19, 95)(20, 70)(21, 75)(22, 96)(23, 82)(24, 71)(25, 80)(26, 72)(27, 83)(28, 84)(29, 77)(30, 74)(31, 78)(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) :: { ( 16, 32, 16, 32 ), ( 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.627
Graph:: bipartite
	v = 18 e = 64 f = 6
	degree seq :: [ 4^16, 32^2 ]

E21.640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^3, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 27, 59, 15, 47, 22, 54, 32, 64, 23, 55, 10, 42, 20, 52, 31, 63, 24, 56, 12, 44, 4, 36)(3, 35, 9, 41, 17, 49, 30, 62, 25, 57, 14, 46, 5, 37, 11, 43, 18, 50, 7, 39, 19, 51, 29, 61, 26, 58, 13, 45, 21, 53, 8, 40)(65, 97, 67, 99, 74, 106, 83, 115, 92, 124, 89, 121, 76, 108, 85, 117, 96, 128, 82, 114, 70, 102, 81, 113, 95, 127, 90, 122, 79, 111, 69, 101)(66, 98, 71, 103, 84, 116, 94, 126, 91, 123, 77, 109, 68, 100, 75, 107, 87, 119, 73, 105, 80, 112, 93, 125, 88, 120, 78, 110, 86, 118, 72, 104)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 80)(7, 83)(8, 67)(9, 81)(10, 84)(11, 82)(12, 68)(13, 85)(14, 69)(15, 86)(16, 92)(17, 94)(18, 71)(19, 93)(20, 95)(21, 72)(22, 96)(23, 74)(24, 76)(25, 78)(26, 77)(27, 79)(28, 91)(29, 90)(30, 89)(31, 88)(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) :: { ( 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 E21.619
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 11, 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, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^11, (Y3 * Y2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 32, 65)(29, 62, 31, 64, 33, 66)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)(68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106)(70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 98, 131, 99, 132, 94, 127, 88, 121, 82, 115, 76, 109)
	L = (1, 68)(2, 70)(3, 72)(4, 67)(5, 73)(6, 75)(7, 76)(8, 78)(9, 69)(10, 71)(11, 79)(12, 81)(13, 82)(14, 84)(15, 74)(16, 77)(17, 85)(18, 87)(19, 88)(20, 90)(21, 80)(22, 83)(23, 91)(24, 93)(25, 94)(26, 96)(27, 86)(28, 89)(29, 97)(30, 98)(31, 99)(32, 92)(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) :: { ( 6, 66, 6, 66, 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 E21.642
Graph:: bipartite
	v = 14 e = 66 f = 12
	degree seq :: [ 6^11, 22^3 ]

E21.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 11, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3^3, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y1, Y3^-1), (Y3 * Y2^-1)^3, Y1^-11 * Y3, (Y1^-1 * Y3^-1)^11 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 6, 39, 12, 45, 18, 51, 24, 57, 30, 63, 28, 61, 22, 55, 16, 49, 10, 43, 4, 37, 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, 29, 62, 23, 56, 17, 50, 11, 44, 5, 38)(67, 100, 69, 102, 70, 103)(68, 101, 73, 106, 74, 107)(71, 104, 75, 108, 76, 109)(72, 105, 79, 112, 80, 113)(77, 110, 81, 114, 82, 115)(78, 111, 85, 118, 86, 119)(83, 116, 87, 120, 88, 121)(84, 117, 91, 124, 92, 125)(89, 122, 93, 126, 94, 127)(90, 123, 97, 130, 98, 131)(95, 128, 99, 132, 96, 129)
	L = (1, 70)(2, 74)(3, 67)(4, 69)(5, 76)(6, 80)(7, 68)(8, 73)(9, 71)(10, 75)(11, 82)(12, 86)(13, 72)(14, 79)(15, 77)(16, 81)(17, 88)(18, 92)(19, 78)(20, 85)(21, 83)(22, 87)(23, 94)(24, 98)(25, 84)(26, 91)(27, 89)(28, 93)(29, 96)(30, 99)(31, 90)(32, 97)(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) :: { ( 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, 6, 22, 6, 22, 6, 22 ) }
Outer automorphisms :: reflexible
Dual of E21.641
Graph:: bipartite
	v = 12 e = 66 f = 14
	degree seq :: [ 6^11, 66 ]

E21.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, R * Y2 * Y1 * R * Y2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y3^2 * Y2^-2 * Y3, Y1 * Y3^-1 * Y2^-1 * Y3^-2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 14, 50)(5, 41, 9, 45)(6, 42, 21, 57)(8, 44, 27, 63)(10, 46, 30, 66)(11, 47, 25, 61)(12, 48, 24, 60)(13, 49, 22, 58)(15, 51, 32, 68)(16, 52, 29, 65)(17, 53, 35, 71)(18, 54, 34, 70)(19, 55, 28, 64)(20, 56, 23, 59)(26, 62, 31, 67)(33, 69, 36, 72)(73, 109, 75, 111, 83, 119, 105, 141, 91, 127, 77, 113)(74, 110, 79, 115, 97, 133, 108, 144, 100, 136, 81, 117)(76, 112, 87, 123, 106, 142, 99, 135, 96, 132, 89, 125)(78, 114, 94, 130, 88, 124, 82, 118, 103, 139, 95, 131)(80, 116, 84, 120, 107, 143, 86, 122, 104, 140, 90, 126)(85, 121, 101, 137, 102, 138, 98, 134, 92, 128, 93, 129)
	L = (1, 76)(2, 80)(3, 84)(4, 88)(5, 90)(6, 73)(7, 87)(8, 95)(9, 89)(10, 74)(11, 106)(12, 102)(13, 75)(14, 92)(15, 93)(16, 83)(17, 98)(18, 85)(19, 96)(20, 77)(21, 108)(22, 100)(23, 97)(24, 78)(25, 107)(26, 79)(27, 101)(28, 104)(29, 81)(30, 105)(31, 91)(32, 82)(33, 86)(34, 103)(35, 94)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18^4 ), ( 18^12 ) }
Outer automorphisms :: reflexible
Dual of E21.648
Graph:: simple bipartite
	v = 24 e = 72 f = 8
	degree seq :: [ 4^18, 12^6 ]

E21.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, Y2^-3 * Y3, (Y2^-1, Y3^-1), (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^2 * Y3 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 13, 49, 27, 63, 15, 51, 14, 50)(6, 42, 18, 54, 12, 48, 29, 65, 20, 56, 19, 55)(8, 44, 21, 57, 23, 59, 32, 68, 16, 52, 24, 60)(10, 46, 25, 61, 22, 58, 30, 66, 17, 53, 26, 62)(28, 64, 34, 70, 36, 72, 33, 69, 31, 67, 35, 71)(73, 109, 75, 111, 84, 120, 76, 112, 85, 121, 92, 128, 79, 115, 87, 123, 78, 114)(74, 110, 80, 116, 94, 130, 81, 117, 95, 131, 89, 125, 77, 113, 88, 124, 82, 118)(83, 119, 98, 134, 108, 144, 99, 135, 97, 133, 103, 139, 86, 122, 102, 138, 100, 136)(90, 126, 105, 141, 104, 140, 101, 137, 107, 143, 96, 132, 91, 127, 106, 142, 93, 129)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 74)(6, 84)(7, 73)(8, 95)(9, 77)(10, 94)(11, 99)(12, 92)(13, 87)(14, 83)(15, 75)(16, 80)(17, 82)(18, 101)(19, 90)(20, 78)(21, 104)(22, 89)(23, 88)(24, 93)(25, 102)(26, 97)(27, 86)(28, 108)(29, 91)(30, 98)(31, 100)(32, 96)(33, 107)(34, 105)(35, 106)(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) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.646
Graph:: bipartite
	v = 10 e = 72 f = 22
	degree seq :: [ 12^6, 18^4 ]

E21.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, (Y2, Y3), Y3 * Y2^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 13, 49, 27, 63, 15, 51, 14, 50)(6, 42, 19, 55, 16, 52, 29, 65, 12, 48, 20, 56)(8, 44, 21, 57, 22, 58, 31, 67, 17, 53, 23, 59)(10, 46, 25, 61, 24, 60, 32, 68, 18, 54, 26, 62)(28, 64, 34, 70, 36, 72, 33, 69, 30, 66, 35, 71)(73, 109, 75, 111, 84, 120, 79, 115, 87, 123, 88, 124, 76, 112, 85, 121, 78, 114)(74, 110, 80, 116, 90, 126, 77, 113, 89, 125, 96, 132, 81, 117, 94, 130, 82, 118)(83, 119, 97, 133, 102, 138, 86, 122, 98, 134, 108, 144, 99, 135, 104, 140, 100, 136)(91, 127, 105, 141, 103, 139, 92, 128, 106, 142, 93, 129, 101, 137, 107, 143, 95, 131)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 74)(6, 88)(7, 73)(8, 94)(9, 77)(10, 96)(11, 99)(12, 78)(13, 87)(14, 83)(15, 75)(16, 84)(17, 80)(18, 82)(19, 101)(20, 91)(21, 103)(22, 89)(23, 93)(24, 90)(25, 104)(26, 97)(27, 86)(28, 108)(29, 92)(30, 100)(31, 95)(32, 98)(33, 107)(34, 105)(35, 106)(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) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.647
Graph:: bipartite
	v = 10 e = 72 f = 22
	degree seq :: [ 12^6, 18^4 ]

E21.646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3, Y1), Y3 * Y1^-3, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 16, 52, 6, 42, 10, 46, 5, 41)(3, 39, 11, 47, 22, 58, 12, 48, 24, 60, 27, 63, 14, 50, 25, 61, 13, 49)(8, 44, 18, 54, 32, 68, 19, 55, 33, 69, 34, 70, 21, 57, 26, 62, 20, 56)(15, 51, 28, 64, 23, 59, 17, 53, 31, 67, 35, 71, 30, 66, 36, 72, 29, 65)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 84, 120)(77, 113, 87, 123)(78, 114, 86, 122)(79, 115, 89, 125)(81, 117, 91, 127)(82, 118, 93, 129)(83, 119, 95, 131)(85, 121, 98, 134)(88, 124, 102, 138)(90, 126, 94, 130)(92, 128, 100, 136)(96, 132, 107, 143)(97, 133, 101, 137)(99, 135, 105, 141)(103, 139, 104, 140)(106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 78)(5, 79)(6, 73)(7, 88)(8, 91)(9, 82)(10, 74)(11, 96)(12, 86)(13, 94)(14, 75)(15, 89)(16, 77)(17, 102)(18, 105)(19, 93)(20, 104)(21, 80)(22, 99)(23, 107)(24, 97)(25, 83)(26, 90)(27, 85)(28, 103)(29, 95)(30, 87)(31, 108)(32, 106)(33, 98)(34, 92)(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, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.644
Graph:: bipartite
	v = 22 e = 72 f = 10
	degree seq :: [ 4^18, 18^4 ]

E21.647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y3^-1 * Y1^-3, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 6, 42, 10, 46, 15, 51, 4, 40, 9, 45, 5, 41)(3, 39, 11, 47, 22, 58, 14, 50, 25, 61, 26, 62, 12, 48, 24, 60, 13, 49)(8, 44, 18, 54, 32, 68, 21, 57, 33, 69, 34, 70, 19, 55, 27, 63, 20, 56)(16, 52, 29, 65, 23, 59, 17, 53, 31, 67, 35, 71, 28, 64, 36, 72, 30, 66)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 84, 120)(77, 113, 88, 124)(78, 114, 86, 122)(79, 115, 89, 125)(81, 117, 91, 127)(82, 118, 93, 129)(83, 119, 95, 131)(85, 121, 99, 135)(87, 123, 100, 136)(90, 126, 94, 130)(92, 128, 101, 137)(96, 132, 102, 138)(97, 133, 107, 143)(98, 134, 105, 141)(103, 139, 104, 140)(106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 78)(5, 87)(6, 73)(7, 77)(8, 91)(9, 82)(10, 74)(11, 96)(12, 86)(13, 98)(14, 75)(15, 79)(16, 100)(17, 88)(18, 99)(19, 93)(20, 106)(21, 80)(22, 85)(23, 102)(24, 97)(25, 83)(26, 94)(27, 105)(28, 89)(29, 108)(30, 107)(31, 101)(32, 92)(33, 90)(34, 104)(35, 95)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.645
Graph:: bipartite
	v = 22 e = 72 f = 10
	degree seq :: [ 4^18, 18^4 ]

E21.648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y3, Y2 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^2, (R * Y1^-1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y3^-2 * Y1^-1 * Y2^-1, Y1^9, Y2^9, Y1^-3 * 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, 26, 62, 36, 72, 35, 71, 34, 70, 18, 54, 5, 41)(3, 39, 10, 46, 31, 67, 23, 59, 33, 69, 16, 52, 30, 66, 19, 55, 7, 43)(4, 40, 15, 51, 27, 63, 25, 61, 21, 57, 13, 49, 29, 65, 20, 56, 17, 53)(6, 42, 11, 47, 9, 45, 28, 64, 24, 60, 14, 50, 12, 48, 32, 68, 22, 58)(73, 109, 75, 111, 84, 120, 106, 142, 102, 138, 100, 136, 98, 134, 95, 131, 78, 114)(74, 110, 81, 117, 101, 137, 90, 126, 94, 130, 97, 133, 108, 144, 86, 122, 76, 112)(77, 113, 89, 125, 105, 141, 107, 143, 85, 121, 82, 118, 80, 116, 99, 135, 91, 127)(79, 115, 93, 129, 83, 119, 88, 124, 87, 123, 104, 140, 103, 139, 92, 128, 96, 132)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 78)(6, 93)(7, 73)(8, 100)(9, 102)(10, 104)(11, 74)(12, 87)(13, 81)(14, 75)(15, 80)(16, 106)(17, 86)(18, 91)(19, 96)(20, 77)(21, 107)(22, 95)(23, 89)(24, 108)(25, 79)(26, 97)(27, 94)(28, 92)(29, 103)(30, 99)(31, 98)(32, 90)(33, 83)(34, 101)(35, 84)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.643
Graph:: bipartite
	v = 8 e = 72 f = 24
	degree seq :: [ 18^8 ]

E21.649 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 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, Y3 * Y2 * Y3 * Y2^-1, Y1^2 * Y2^2, Y1^4, Y2^4, Y1^2 * Y2^-2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y3^3 * Y1^-1, Y2 * Y1 * Y3^2 * Y2 * Y1^-1 * Y3^-1, (Y3 * Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 30, 66, 15, 51, 9, 45, 25, 61, 36, 72, 24, 60, 8, 44, 23, 59, 35, 71, 29, 65, 13, 49, 11, 47, 27, 63, 22, 58, 7, 43)(2, 38, 10, 46, 26, 62, 33, 69, 19, 55, 6, 42, 21, 57, 32, 68, 18, 54, 5, 41, 20, 56, 34, 70, 31, 67, 16, 52, 3, 39, 14, 50, 28, 64, 12, 48)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 95, 90)(79, 82, 96, 92)(81, 88, 83, 91)(86, 101, 93, 102)(89, 100, 107, 104)(94, 98, 108, 106)(97, 103, 99, 105)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 131, 127)(115, 122, 132, 129)(118, 123, 128, 121)(120, 133, 126, 135)(125, 139, 143, 141)(130, 136, 144, 140)(134, 138, 142, 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) :: { ( 12^4 ), ( 12^36 ) }
Outer automorphisms :: reflexible
Dual of E21.652
Graph:: bipartite
	v = 20 e = 72 f = 12
	degree seq :: [ 4^18, 36^2 ]

E21.650 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 4, 4, 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, Y3^3, Y1 * Y2^2 * Y1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^-2 * Y1, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * 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 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 14, 50, 16, 52)(5, 41, 19, 55, 17, 53)(6, 42, 20, 56, 18, 54)(8, 44, 21, 57, 22, 58)(9, 45, 24, 60, 26, 62)(11, 47, 28, 64, 27, 63)(13, 49, 30, 66, 32, 68)(15, 51, 34, 70, 33, 69)(23, 59, 35, 71, 29, 65)(25, 61, 36, 72, 31, 67)(73, 74, 80, 77)(75, 85, 78, 87)(76, 84, 93, 89)(79, 82, 94, 91)(81, 95, 83, 97)(86, 104, 92, 105)(88, 102, 90, 106)(96, 101, 100, 103)(98, 107, 99, 108)(109, 111, 116, 114)(110, 117, 113, 119)(112, 124, 129, 126)(115, 122, 130, 128)(118, 134, 127, 135)(120, 132, 125, 136)(121, 137, 123, 139)(131, 141, 133, 140)(138, 143, 142, 144)
	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 ), ( 72^6 ) }
Outer automorphisms :: reflexible
Dual of E21.651
Graph:: simple bipartite
	v = 30 e = 72 f = 2
	degree seq :: [ 4^18, 6^12 ]

E21.651 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 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, Y3 * Y2 * Y3 * Y2^-1, Y1^2 * Y2^2, Y1^4, Y2^4, Y1^2 * Y2^-2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y3^3 * Y1^-1, Y2 * Y1 * Y3^2 * Y2 * Y1^-1 * Y3^-1, (Y3 * Y1^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 30, 66, 102, 138, 15, 51, 87, 123, 9, 45, 81, 117, 25, 61, 97, 133, 36, 72, 108, 144, 24, 60, 96, 132, 8, 44, 80, 116, 23, 59, 95, 131, 35, 71, 107, 143, 29, 65, 101, 137, 13, 49, 85, 121, 11, 47, 83, 119, 27, 63, 99, 135, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 26, 62, 98, 134, 33, 69, 105, 141, 19, 55, 91, 127, 6, 42, 78, 114, 21, 57, 93, 129, 32, 68, 104, 140, 18, 54, 90, 126, 5, 41, 77, 113, 20, 56, 92, 128, 34, 70, 106, 142, 31, 67, 103, 139, 16, 52, 88, 124, 3, 39, 75, 111, 14, 50, 86, 122, 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, 52)(10, 60)(11, 55)(12, 59)(13, 42)(14, 65)(15, 39)(16, 47)(17, 64)(18, 40)(19, 45)(20, 43)(21, 66)(22, 62)(23, 54)(24, 56)(25, 67)(26, 72)(27, 69)(28, 71)(29, 57)(30, 50)(31, 63)(32, 53)(33, 61)(34, 58)(35, 68)(36, 70)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 122)(80, 114)(81, 113)(82, 123)(83, 110)(84, 133)(85, 118)(86, 132)(87, 128)(88, 131)(89, 139)(90, 135)(91, 112)(92, 121)(93, 115)(94, 136)(95, 127)(96, 129)(97, 126)(98, 138)(99, 120)(100, 144)(101, 134)(102, 142)(103, 143)(104, 130)(105, 125)(106, 137)(107, 141)(108, 140)
	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 E21.650
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 30
	degree seq :: [ 72^2 ]

E21.652 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 4, 4, 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, Y3^3, Y1 * Y2^2 * Y1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^-2 * Y1, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * 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 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 16, 52, 88, 124)(5, 41, 77, 113, 19, 55, 91, 127, 17, 53, 89, 125)(6, 42, 78, 114, 20, 56, 92, 128, 18, 54, 90, 126)(8, 44, 80, 116, 21, 57, 93, 129, 22, 58, 94, 130)(9, 45, 81, 117, 24, 60, 96, 132, 26, 62, 98, 134)(11, 47, 83, 119, 28, 64, 100, 136, 27, 63, 99, 135)(13, 49, 85, 121, 30, 66, 102, 138, 32, 68, 104, 140)(15, 51, 87, 123, 34, 70, 106, 142, 33, 69, 105, 141)(23, 59, 95, 131, 35, 71, 107, 143, 29, 65, 101, 137)(25, 61, 97, 133, 36, 72, 108, 144, 31, 67, 103, 139)
	L = (1, 38)(2, 44)(3, 49)(4, 48)(5, 37)(6, 51)(7, 46)(8, 41)(9, 59)(10, 58)(11, 61)(12, 57)(13, 42)(14, 68)(15, 39)(16, 66)(17, 40)(18, 70)(19, 43)(20, 69)(21, 53)(22, 55)(23, 47)(24, 65)(25, 45)(26, 71)(27, 72)(28, 67)(29, 64)(30, 54)(31, 60)(32, 56)(33, 50)(34, 52)(35, 63)(36, 62)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 122)(80, 114)(81, 113)(82, 134)(83, 110)(84, 132)(85, 137)(86, 130)(87, 139)(88, 129)(89, 136)(90, 112)(91, 135)(92, 115)(93, 126)(94, 128)(95, 141)(96, 125)(97, 140)(98, 127)(99, 118)(100, 120)(101, 123)(102, 143)(103, 121)(104, 131)(105, 133)(106, 144)(107, 142)(108, 138)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E21.649
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 20
	degree seq :: [ 12^12 ]

E21.653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y1^3, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3, Y1^-1), Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-2 * Y2^-1, R * Y2 * Y1^-1 * Y3 * R * Y2^-1, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 23, 59, 30, 66)(14, 50, 31, 67, 24, 60)(15, 51, 32, 68, 25, 61)(16, 52, 26, 62, 33, 69)(18, 54, 34, 70, 27, 63)(21, 57, 35, 71, 28, 64)(22, 58, 29, 65, 36, 72)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 95, 131, 82, 118)(76, 112, 87, 123, 101, 137, 90, 126)(77, 113, 84, 120, 102, 138, 91, 127)(79, 115, 86, 122, 105, 141, 93, 129)(81, 117, 97, 133, 108, 144, 99, 135)(83, 119, 96, 132, 88, 124, 100, 136)(89, 125, 104, 140, 94, 130, 106, 142)(92, 128, 103, 139, 98, 134, 107, 143)
	L = (1, 76)(2, 81)(3, 86)(4, 88)(5, 89)(6, 93)(7, 73)(8, 96)(9, 98)(10, 100)(11, 74)(12, 103)(13, 101)(14, 106)(15, 75)(16, 95)(17, 105)(18, 78)(19, 107)(20, 77)(21, 104)(22, 79)(23, 108)(24, 90)(25, 80)(26, 102)(27, 82)(28, 87)(29, 83)(30, 94)(31, 99)(32, 84)(33, 85)(34, 91)(35, 97)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.656
Graph:: simple bipartite
	v = 21 e = 72 f = 11
	degree seq :: [ 6^12, 8^9 ]

E21.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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, Y1^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, Y2^4, (Y3^-1, Y1^-1), Y2^-1 * Y3^-3 * Y1^-1 * Y2^-1, Y3^-2 * Y2^2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2^-2 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 23, 59, 30, 66)(14, 50, 31, 67, 24, 60)(15, 51, 32, 68, 25, 61)(16, 52, 26, 62, 35, 71)(18, 54, 36, 72, 27, 63)(21, 57, 34, 70, 28, 64)(22, 58, 29, 65, 33, 69)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 95, 131, 82, 118)(76, 112, 87, 123, 105, 141, 90, 126)(77, 113, 84, 120, 102, 138, 91, 127)(79, 115, 86, 122, 98, 134, 93, 129)(81, 117, 97, 133, 94, 130, 99, 135)(83, 119, 96, 132, 107, 143, 100, 136)(88, 124, 106, 142, 92, 128, 103, 139)(89, 125, 104, 140, 101, 137, 108, 144)
	L = (1, 76)(2, 81)(3, 86)(4, 88)(5, 89)(6, 93)(7, 73)(8, 96)(9, 98)(10, 100)(11, 74)(12, 103)(13, 105)(14, 99)(15, 75)(16, 102)(17, 107)(18, 78)(19, 106)(20, 77)(21, 97)(22, 79)(23, 94)(24, 108)(25, 80)(26, 85)(27, 82)(28, 104)(29, 83)(30, 101)(31, 90)(32, 84)(33, 92)(34, 87)(35, 95)(36, 91)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E21.655
Graph:: simple bipartite
	v = 21 e = 72 f = 11
	degree seq :: [ 6^12, 8^9 ]

E21.655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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^-1, Y2^-1), Y1 * Y2 * Y1^-1 * Y2, Y1 * Y3 * Y1^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1, Y2 * Y1^2 * Y3^2, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2, Y2^-1 * Y3^-1 * Y2^-4, Y2^-2 * Y1^2 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 24, 60, 15, 51)(4, 40, 12, 48, 23, 59, 18, 54)(6, 42, 9, 45, 17, 53, 20, 56)(7, 43, 10, 46, 14, 50, 21, 57)(13, 49, 28, 64, 34, 70, 31, 67)(16, 52, 27, 63, 30, 66, 33, 69)(19, 55, 26, 62, 29, 65, 35, 71)(22, 58, 25, 61, 32, 68, 36, 72)(73, 109, 75, 111, 85, 121, 101, 137, 95, 131, 79, 115, 88, 124, 104, 140, 89, 125, 80, 116, 96, 132, 106, 142, 91, 127, 76, 112, 86, 122, 102, 138, 94, 130, 78, 114)(74, 110, 81, 117, 97, 133, 105, 141, 93, 129, 84, 120, 98, 134, 103, 139, 87, 123, 77, 113, 92, 128, 108, 144, 99, 135, 82, 118, 90, 126, 107, 143, 100, 136, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 93)(6, 91)(7, 73)(8, 95)(9, 90)(10, 87)(11, 99)(12, 74)(13, 102)(14, 80)(15, 105)(16, 75)(17, 101)(18, 77)(19, 104)(20, 84)(21, 83)(22, 106)(23, 78)(24, 79)(25, 107)(26, 81)(27, 103)(28, 108)(29, 94)(30, 96)(31, 97)(32, 85)(33, 100)(34, 88)(35, 92)(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, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.654
Graph:: bipartite
	v = 11 e = 72 f = 21
	degree seq :: [ 8^9, 36^2 ]

E21.656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4, 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), (R * Y2^-1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y1^2 * Y3 * Y2, Y3^3 * Y2^-3, 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, 22, 58, 18, 54)(6, 42, 9, 45, 14, 50, 20, 56)(7, 43, 10, 46, 13, 49, 21, 57)(16, 52, 27, 63, 29, 65, 32, 68)(17, 53, 28, 64, 33, 69, 34, 70)(19, 55, 25, 61, 31, 67, 35, 71)(24, 60, 26, 62, 30, 66, 36, 72)(73, 109, 75, 111, 85, 121, 101, 137, 96, 132, 105, 141, 91, 127, 76, 112, 86, 122, 80, 116, 95, 131, 79, 115, 88, 124, 102, 138, 89, 125, 103, 139, 94, 130, 78, 114)(74, 110, 81, 117, 90, 126, 107, 143, 100, 136, 108, 144, 99, 135, 82, 118, 87, 123, 77, 113, 92, 128, 84, 120, 97, 133, 106, 142, 98, 134, 104, 140, 93, 129, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 93)(6, 91)(7, 73)(8, 94)(9, 87)(10, 98)(11, 99)(12, 74)(13, 80)(14, 103)(15, 104)(16, 75)(17, 101)(18, 77)(19, 102)(20, 83)(21, 108)(22, 105)(23, 78)(24, 79)(25, 81)(26, 107)(27, 106)(28, 84)(29, 95)(30, 85)(31, 96)(32, 100)(33, 88)(34, 90)(35, 92)(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) :: { ( 6, 8, 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.653
Graph:: bipartite
	v = 11 e = 72 f = 21
	degree seq :: [ 8^9, 36^2 ]

E21.657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 9, 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 * Y1 * Y2, Y1 * Y3 * Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), Y3^7 * Y2^-1 * Y3^2, (Y2^-1 * Y3)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 7, 43)(6, 42, 8, 44)(9, 45, 12, 48)(10, 46, 13, 49)(11, 47, 15, 51)(14, 50, 16, 52)(17, 53, 20, 56)(18, 54, 21, 57)(19, 55, 23, 59)(22, 58, 24, 60)(25, 61, 28, 64)(26, 62, 29, 65)(27, 63, 31, 67)(30, 66, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 74, 110, 77, 113)(76, 112, 81, 117, 79, 115, 84, 120)(78, 114, 82, 118, 80, 116, 85, 121)(83, 119, 89, 125, 87, 123, 92, 128)(86, 122, 90, 126, 88, 124, 93, 129)(91, 127, 97, 133, 95, 131, 100, 136)(94, 130, 98, 134, 96, 132, 101, 137)(99, 135, 105, 141, 103, 139, 107, 143)(102, 138, 106, 142, 104, 140, 108, 144)
	L = (1, 76)(2, 79)(3, 81)(4, 83)(5, 84)(6, 73)(7, 87)(8, 74)(9, 89)(10, 75)(11, 91)(12, 92)(13, 77)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 100)(21, 85)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 106)(28, 107)(29, 93)(30, 94)(31, 108)(32, 96)(33, 104)(34, 98)(35, 102)(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) :: { ( 18, 72, 18, 72 ), ( 18, 72, 18, 72, 18, 72, 18, 72 ) }
Outer automorphisms :: reflexible
Dual of E21.660
Graph:: bipartite
	v = 27 e = 72 f = 5
	degree seq :: [ 4^18, 8^9 ]

E21.658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^9, (Y3 * Y2^-1)^36 ]
Map:: non-degenerate
	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, 35, 71, 33, 69)(28, 64, 32, 68, 36, 72, 34, 70)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 104, 140, 96, 132, 88, 124, 80, 116)(76, 112, 82, 118, 90, 126, 98, 134, 105, 141, 106, 142, 99, 135, 91, 127, 83, 119)(78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 108, 144, 102, 138, 94, 130, 86, 122)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 76)(7, 85)(8, 86)(9, 87)(10, 75)(11, 77)(12, 88)(13, 82)(14, 83)(15, 93)(16, 94)(17, 95)(18, 81)(19, 84)(20, 96)(21, 90)(22, 91)(23, 101)(24, 102)(25, 103)(26, 89)(27, 92)(28, 104)(29, 98)(30, 99)(31, 107)(32, 108)(33, 97)(34, 100)(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) :: { ( 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 E21.659
Graph:: bipartite
	v = 13 e = 72 f = 19
	degree seq :: [ 8^9, 18^4 ]

E21.659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-2, Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (Y1, Y3), Y1^-1 * Y3^-1 * Y1^-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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 15, 51, 23, 59, 31, 67, 30, 66, 22, 58, 14, 50, 6, 42, 10, 46, 18, 54, 26, 62, 34, 70, 35, 71, 27, 63, 19, 55, 11, 47, 3, 39, 8, 44, 16, 52, 24, 60, 32, 68, 36, 72, 28, 64, 20, 56, 12, 48, 4, 40, 9, 45, 17, 53, 25, 61, 33, 69, 29, 65, 21, 57, 13, 49, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 78, 114)(77, 113, 83, 119)(79, 115, 88, 124)(81, 117, 82, 118)(84, 120, 86, 122)(85, 121, 91, 127)(87, 123, 96, 132)(89, 125, 90, 126)(92, 128, 94, 130)(93, 129, 99, 135)(95, 131, 104, 140)(97, 133, 98, 134)(100, 136, 102, 138)(101, 137, 107, 143)(103, 139, 108, 144)(105, 141, 106, 142)
	L = (1, 76)(2, 81)(3, 78)(4, 75)(5, 84)(6, 73)(7, 89)(8, 82)(9, 80)(10, 74)(11, 86)(12, 83)(13, 92)(14, 77)(15, 97)(16, 90)(17, 88)(18, 79)(19, 94)(20, 91)(21, 100)(22, 85)(23, 105)(24, 98)(25, 96)(26, 87)(27, 102)(28, 99)(29, 108)(30, 93)(31, 101)(32, 106)(33, 104)(34, 95)(35, 103)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.658
Graph:: bipartite
	v = 19 e = 72 f = 13
	degree seq :: [ 4^18, 72 ]

E21.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3^-1, Y1^-1), (Y3^-1, Y2), (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-4, Y3^-1 * Y2^-1 * Y1^7, Y2^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 29, 65, 33, 69, 28, 64, 14, 50, 5, 41)(3, 39, 9, 45, 7, 43, 12, 48, 21, 57, 31, 67, 36, 72, 26, 62, 15, 51)(4, 40, 10, 46, 6, 42, 11, 47, 20, 56, 30, 66, 35, 71, 25, 61, 17, 53)(13, 49, 22, 58, 16, 52, 23, 59, 18, 54, 24, 60, 32, 68, 34, 70, 27, 63)(73, 109, 75, 111, 85, 121, 97, 133, 105, 141, 103, 139, 96, 132, 83, 119, 74, 110, 81, 117, 94, 130, 89, 125, 100, 136, 108, 144, 104, 140, 92, 128, 80, 116, 79, 115, 88, 124, 76, 112, 86, 122, 98, 134, 106, 142, 102, 138, 91, 127, 84, 120, 95, 131, 82, 118, 77, 113, 87, 123, 99, 135, 107, 143, 101, 137, 93, 129, 90, 126, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 89)(6, 88)(7, 73)(8, 78)(9, 77)(10, 94)(11, 95)(12, 74)(13, 98)(14, 97)(15, 100)(16, 75)(17, 99)(18, 79)(19, 83)(20, 90)(21, 80)(22, 87)(23, 81)(24, 84)(25, 106)(26, 105)(27, 108)(28, 107)(29, 92)(30, 96)(31, 91)(32, 93)(33, 102)(34, 103)(35, 104)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.657
Graph:: bipartite
	v = 5 e = 72 f = 27
	degree seq :: [ 18^4, 72 ]

E21.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3, Y2), Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^2 * Y3^-2, Y2^2 * Y3 * Y2 * Y3^3 * Y2^2, (Y2^-2 * Y3^-1)^12 ]
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, 14, 50)(12, 48, 19, 55)(13, 49, 15, 51)(16, 52, 18, 54)(17, 53, 20, 56)(21, 57, 23, 59)(22, 58, 24, 60)(25, 61, 27, 63)(26, 62, 28, 64)(29, 65, 31, 67)(30, 66, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 93, 129, 101, 137, 105, 141, 97, 133, 88, 124, 77, 113)(74, 110, 79, 115, 86, 122, 95, 131, 103, 139, 107, 143, 99, 135, 90, 126, 81, 117)(76, 112, 84, 120, 94, 130, 102, 138, 108, 144, 100, 136, 92, 128, 82, 118, 87, 123)(78, 114, 85, 121, 80, 116, 91, 127, 96, 132, 104, 140, 106, 142, 98, 134, 89, 125)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 91)(8, 83)(9, 85)(10, 74)(11, 94)(12, 95)(13, 75)(14, 96)(15, 79)(16, 82)(17, 77)(18, 78)(19, 93)(20, 81)(21, 102)(22, 103)(23, 104)(24, 101)(25, 92)(26, 88)(27, 89)(28, 90)(29, 108)(30, 107)(31, 106)(32, 105)(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) :: { ( 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 E21.662
Graph:: simple bipartite
	v = 22 e = 72 f = 10
	degree seq :: [ 4^18, 18^4 ]

E21.662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 9, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, Y2^9 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	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, 35, 71, 33, 69)(28, 64, 32, 68, 36, 72, 34, 70)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 104, 140, 96, 132, 88, 124, 80, 116, 74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 108, 144, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 106, 142, 99, 135, 91, 127, 83, 119, 76, 112, 82, 118, 90, 126, 98, 134, 105, 141, 100, 136, 92, 128, 84, 120, 77, 113)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 76)(7, 85)(8, 86)(9, 87)(10, 75)(11, 77)(12, 88)(13, 82)(14, 83)(15, 93)(16, 94)(17, 95)(18, 81)(19, 84)(20, 96)(21, 90)(22, 91)(23, 101)(24, 102)(25, 103)(26, 89)(27, 92)(28, 104)(29, 98)(30, 99)(31, 107)(32, 108)(33, 97)(34, 100)(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) :: { ( 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E21.661
Graph:: bipartite
	v = 10 e = 72 f = 22
	degree seq :: [ 8^9, 72 ]

E21.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y2^3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3^5 * 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 * Y2^-1 ]
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, 17, 53)(12, 48, 18, 54)(13, 49, 19, 55)(14, 50, 20, 56)(15, 51, 21, 57)(16, 52, 22, 58)(23, 59, 29, 65)(24, 60, 30, 66)(25, 61, 31, 67)(26, 62, 32, 68)(27, 63, 33, 69)(28, 64, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 83, 119, 86, 122)(78, 114, 84, 120, 87, 123)(80, 116, 89, 125, 92, 128)(82, 118, 90, 126, 93, 129)(85, 121, 95, 131, 98, 134)(88, 124, 96, 132, 99, 135)(91, 127, 101, 137, 104, 140)(94, 130, 102, 138, 105, 141)(97, 133, 106, 142, 108, 144)(100, 136, 107, 143, 103, 139)
	L = (1, 76)(2, 80)(3, 83)(4, 85)(5, 86)(6, 73)(7, 89)(8, 91)(9, 92)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 77)(16, 78)(17, 101)(18, 79)(19, 103)(20, 104)(21, 81)(22, 82)(23, 106)(24, 84)(25, 105)(26, 108)(27, 87)(28, 88)(29, 100)(30, 90)(31, 99)(32, 107)(33, 93)(34, 94)(35, 96)(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) :: { ( 72^4 ), ( 72^6 ) }
Outer automorphisms :: reflexible
Dual of E21.668
Graph:: simple bipartite
	v = 30 e = 72 f = 2
	degree seq :: [ 4^18, 6^12 ]

E21.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3, Y2), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2^2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-5, 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 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 7, 43)(6, 42, 10, 46, 16, 52)(11, 47, 19, 55, 25, 61)(12, 48, 20, 56, 14, 50)(15, 51, 21, 57, 18, 54)(17, 53, 22, 58, 28, 64)(23, 59, 31, 67, 35, 71)(24, 60, 32, 68, 26, 62)(27, 63, 33, 69, 30, 66)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 99, 135, 87, 123, 76, 112, 84, 120, 96, 132, 106, 142, 94, 130, 82, 118, 74, 110, 80, 116, 91, 127, 103, 139, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 108, 144, 100, 136, 88, 124, 77, 113, 85, 121, 97, 133, 107, 143, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 101, 137, 89, 125, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 74)(5, 79)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 80)(13, 86)(14, 75)(15, 82)(16, 90)(17, 99)(18, 78)(19, 104)(20, 85)(21, 88)(22, 105)(23, 106)(24, 91)(25, 98)(26, 83)(27, 94)(28, 102)(29, 95)(30, 89)(31, 108)(32, 97)(33, 100)(34, 103)(35, 101)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E21.666
Graph:: bipartite
	v = 13 e = 72 f = 19
	degree seq :: [ 6^12, 72 ]

E21.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3), (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y3 * Y2^2 * Y3, Y2^-4 * Y3^-1 * Y2^-2, (Y2^-1 * Y3)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 7, 43)(6, 42, 10, 46, 16, 52)(11, 47, 19, 55, 25, 61)(12, 48, 20, 56, 14, 50)(15, 51, 21, 57, 18, 54)(17, 53, 22, 58, 28, 64)(23, 59, 31, 67, 35, 71)(24, 60, 32, 68, 26, 62)(27, 63, 33, 69, 30, 66)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 108, 144, 100, 136, 88, 124, 77, 113, 85, 121, 97, 133, 107, 143, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 106, 142, 94, 130, 82, 118, 74, 110, 80, 116, 91, 127, 103, 139, 99, 135, 87, 123, 76, 112, 84, 120, 96, 132, 101, 137, 89, 125, 78, 114)
	L = (1, 76)(2, 81)(3, 84)(4, 74)(5, 79)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 80)(13, 86)(14, 75)(15, 82)(16, 90)(17, 99)(18, 78)(19, 104)(20, 85)(21, 88)(22, 105)(23, 101)(24, 91)(25, 98)(26, 83)(27, 94)(28, 102)(29, 103)(30, 89)(31, 106)(32, 97)(33, 100)(34, 107)(35, 108)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E21.667
Graph:: bipartite
	v = 13 e = 72 f = 19
	degree seq :: [ 6^12, 72 ]

E21.666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y3^-3 * Y2, (R * Y2)^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1^5, Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 26, 62, 14, 50, 4, 40, 9, 45, 19, 55, 30, 66, 35, 71, 25, 61, 13, 49, 22, 58, 32, 68, 34, 70, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 29, 65, 33, 69, 23, 59, 11, 47, 21, 57, 31, 67, 36, 72, 28, 64, 16, 52, 6, 42, 10, 46, 20, 56, 27, 63, 15, 51, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 90, 126)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(89, 125, 101, 137)(91, 127, 103, 139)(92, 128, 104, 140)(98, 134, 105, 141)(99, 135, 106, 142)(100, 136, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 86)(6, 73)(7, 91)(8, 93)(9, 94)(10, 74)(11, 78)(12, 95)(13, 75)(14, 97)(15, 98)(16, 77)(17, 102)(18, 103)(19, 104)(20, 79)(21, 82)(22, 80)(23, 88)(24, 105)(25, 84)(26, 107)(27, 89)(28, 87)(29, 108)(30, 106)(31, 92)(32, 90)(33, 100)(34, 101)(35, 96)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E21.664
Graph:: bipartite
	v = 19 e = 72 f = 13
	degree seq :: [ 4^18, 72 ]

E21.667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 * Y3^-3, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (Y3, Y1), Y2 * Y1 * Y2 * Y1^-1, Y1 * Y3 * Y1^5, (Y1^-1 * Y3^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 28, 64, 16, 52, 6, 42, 10, 46, 20, 56, 30, 66, 33, 69, 23, 59, 11, 47, 21, 57, 31, 67, 34, 70, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 29, 65, 35, 71, 25, 61, 13, 49, 22, 58, 32, 68, 36, 72, 26, 62, 14, 50, 4, 40, 9, 45, 19, 55, 27, 63, 15, 51, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 90, 126)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(89, 125, 101, 137)(91, 127, 103, 139)(92, 128, 104, 140)(98, 134, 105, 141)(99, 135, 106, 142)(100, 136, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 86)(6, 73)(7, 91)(8, 93)(9, 94)(10, 74)(11, 78)(12, 95)(13, 75)(14, 97)(15, 98)(16, 77)(17, 99)(18, 103)(19, 104)(20, 79)(21, 82)(22, 80)(23, 88)(24, 105)(25, 84)(26, 107)(27, 108)(28, 87)(29, 106)(30, 89)(31, 92)(32, 90)(33, 100)(34, 102)(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) :: { ( 6, 72, 6, 72 ), ( 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72, 6, 72 ) }
Outer automorphisms :: reflexible
Dual of E21.665
Graph:: bipartite
	v = 19 e = 72 f = 13
	degree seq :: [ 4^18, 72 ]

E21.668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y2^-1 * Y3^2 * Y2^-1, (Y3, Y2), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^-2 * Y3 * Y1^-2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1)^3, Y3 * Y2^2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 14, 50, 29, 65, 19, 55, 6, 42, 11, 47, 26, 62, 17, 53, 4, 40, 10, 46, 25, 61, 21, 57, 31, 67, 36, 72, 34, 70, 16, 52, 30, 66, 35, 71, 33, 69, 13, 49, 28, 64, 20, 56, 7, 43, 12, 48, 27, 63, 15, 51, 3, 39, 9, 45, 24, 60, 22, 58, 32, 68, 18, 54, 5, 41)(73, 109, 75, 111, 85, 121, 103, 139, 83, 119, 74, 110, 81, 117, 100, 136, 108, 144, 98, 134, 80, 116, 96, 132, 92, 128, 106, 142, 89, 125, 95, 131, 94, 130, 79, 115, 88, 124, 76, 112, 86, 122, 104, 140, 84, 120, 102, 138, 82, 118, 101, 137, 90, 126, 99, 135, 107, 143, 97, 133, 91, 127, 77, 113, 87, 123, 105, 141, 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, 104)(14, 103)(15, 95)(16, 75)(17, 105)(18, 98)(19, 106)(20, 77)(21, 79)(22, 78)(23, 93)(24, 91)(25, 92)(26, 107)(27, 80)(28, 90)(29, 108)(30, 81)(31, 84)(32, 83)(33, 94)(34, 87)(35, 96)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E21.663
Graph:: bipartite
	v = 2 e = 72 f = 30
	degree seq :: [ 72^2 ]

E21.669 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
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, Y1^-1 * Y2, Y3^4, Y1^-1 * Y2^-1 * Y3^2, Y3^-1 * Y1^-2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 6, 46, 5, 45)(2, 42, 7, 47, 4, 44, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 82, 86, 84)(83, 89, 85, 90)(87, 91, 88, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 120, 118, 119)(121, 122, 126, 124)(123, 129, 125, 130)(127, 131, 128, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 145, 142, 146)(143, 147, 144, 148)(149, 153, 150, 154)(151, 155, 152, 156)(157, 160, 158, 159)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.672
Graph:: bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.670 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 40>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y3^-2 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3, Y3^4, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 6, 46, 5, 45)(2, 42, 7, 47, 3, 43, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 82, 86, 83)(84, 89, 85, 90)(87, 91, 88, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 119, 118, 120)(121, 123, 126, 122)(124, 130, 125, 129)(127, 132, 128, 131)(133, 138, 134, 137)(135, 140, 136, 139)(141, 146, 142, 145)(143, 148, 144, 147)(149, 154, 150, 153)(151, 156, 152, 155)(157, 160, 158, 159)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.673
Graph:: bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.671 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 40>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y3^2 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 6, 46, 5, 45)(2, 42, 7, 47, 3, 43, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 82, 86, 83)(84, 89, 85, 90)(87, 91, 88, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 120, 118, 119)(121, 123, 126, 122)(124, 130, 125, 129)(127, 132, 128, 131)(133, 138, 134, 137)(135, 140, 136, 139)(141, 146, 142, 145)(143, 148, 144, 147)(149, 154, 150, 153)(151, 156, 152, 155)(157, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.674
Graph:: bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.672 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
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, Y1^-1 * Y2, Y3^4, Y1^-1 * Y2^-1 * Y3^2, Y3^-1 * Y1^-2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 3, 43, 83, 123, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 4, 44, 84, 124, 8, 48, 88, 128)(9, 49, 89, 129, 13, 53, 93, 133, 10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 50)(6, 44)(7, 51)(8, 52)(9, 45)(10, 43)(11, 48)(12, 47)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 80)(38, 79)(39, 77)(40, 78)(81, 122)(82, 126)(83, 129)(84, 121)(85, 130)(86, 124)(87, 131)(88, 132)(89, 125)(90, 123)(91, 128)(92, 127)(93, 137)(94, 138)(95, 139)(96, 140)(97, 134)(98, 133)(99, 136)(100, 135)(101, 145)(102, 146)(103, 147)(104, 148)(105, 142)(106, 141)(107, 144)(108, 143)(109, 153)(110, 154)(111, 155)(112, 156)(113, 150)(114, 149)(115, 152)(116, 151)(117, 160)(118, 159)(119, 157)(120, 158)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.669
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 16^10 ]

E21.673 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 40>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y3^-2 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3, Y3^4, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 3, 43, 83, 123, 8, 48, 88, 128)(9, 49, 89, 129, 13, 53, 93, 133, 10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 46)(3, 41)(4, 49)(5, 50)(6, 43)(7, 51)(8, 52)(9, 45)(10, 44)(11, 48)(12, 47)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 79)(38, 80)(39, 78)(40, 77)(81, 123)(82, 121)(83, 126)(84, 130)(85, 129)(86, 122)(87, 132)(88, 131)(89, 124)(90, 125)(91, 127)(92, 128)(93, 138)(94, 137)(95, 140)(96, 139)(97, 133)(98, 134)(99, 135)(100, 136)(101, 146)(102, 145)(103, 148)(104, 147)(105, 141)(106, 142)(107, 143)(108, 144)(109, 154)(110, 153)(111, 156)(112, 155)(113, 149)(114, 150)(115, 151)(116, 152)(117, 160)(118, 159)(119, 157)(120, 158)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.670
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 16^10 ]

E21.674 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 40>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y3^2 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y2^4, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 3, 43, 83, 123, 8, 48, 88, 128)(9, 49, 89, 129, 13, 53, 93, 133, 10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 46)(3, 41)(4, 49)(5, 50)(6, 43)(7, 51)(8, 52)(9, 45)(10, 44)(11, 48)(12, 47)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 80)(38, 79)(39, 77)(40, 78)(81, 123)(82, 121)(83, 126)(84, 130)(85, 129)(86, 122)(87, 132)(88, 131)(89, 124)(90, 125)(91, 127)(92, 128)(93, 138)(94, 137)(95, 140)(96, 139)(97, 133)(98, 134)(99, 135)(100, 136)(101, 146)(102, 145)(103, 148)(104, 147)(105, 141)(106, 142)(107, 143)(108, 144)(109, 154)(110, 153)(111, 156)(112, 155)(113, 149)(114, 150)(115, 151)(116, 152)(117, 159)(118, 160)(119, 158)(120, 157)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.671
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 16^10 ]

E21.675 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (Y2 * Y1)^2, R * Y2 * R * Y1, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y1^4, Y2^4, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 6, 46, 5, 45)(2, 42, 7, 47, 4, 44, 8, 48)(9, 49, 13, 53, 10, 50, 14, 54)(11, 51, 15, 55, 12, 52, 16, 56)(17, 57, 21, 61, 18, 58, 22, 62)(19, 59, 23, 63, 20, 60, 24, 64)(25, 65, 29, 69, 26, 66, 30, 70)(27, 67, 31, 71, 28, 68, 32, 72)(33, 73, 37, 77, 34, 74, 38, 78)(35, 75, 39, 79, 36, 76, 40, 80)(81, 82, 86, 84)(83, 89, 85, 90)(87, 91, 88, 92)(93, 97, 94, 98)(95, 99, 96, 100)(101, 105, 102, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 119, 118, 120)(121, 122, 126, 124)(123, 129, 125, 130)(127, 131, 128, 132)(133, 137, 134, 138)(135, 139, 136, 140)(141, 145, 142, 146)(143, 147, 144, 148)(149, 153, 150, 154)(151, 155, 152, 156)(157, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.676
Graph:: bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.676 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (Y2 * Y1)^2, R * Y2 * R * Y1, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y1^4, Y2^4, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 3, 43, 83, 123, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 4, 44, 84, 124, 8, 48, 88, 128)(9, 49, 89, 129, 13, 53, 93, 133, 10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 15, 55, 95, 135, 12, 52, 92, 132, 16, 56, 96, 136)(17, 57, 97, 137, 21, 61, 101, 141, 18, 58, 98, 138, 22, 62, 102, 142)(19, 59, 99, 139, 23, 63, 103, 143, 20, 60, 100, 140, 24, 64, 104, 144)(25, 65, 105, 145, 29, 69, 109, 149, 26, 66, 106, 146, 30, 70, 110, 150)(27, 67, 107, 147, 31, 71, 111, 151, 28, 68, 108, 148, 32, 72, 112, 152)(33, 73, 113, 153, 37, 77, 117, 157, 34, 74, 114, 154, 38, 78, 118, 158)(35, 75, 115, 155, 39, 79, 119, 159, 36, 76, 116, 156, 40, 80, 120, 160)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 50)(6, 44)(7, 51)(8, 52)(9, 45)(10, 43)(11, 48)(12, 47)(13, 57)(14, 58)(15, 59)(16, 60)(17, 54)(18, 53)(19, 56)(20, 55)(21, 65)(22, 66)(23, 67)(24, 68)(25, 62)(26, 61)(27, 64)(28, 63)(29, 73)(30, 74)(31, 75)(32, 76)(33, 70)(34, 69)(35, 72)(36, 71)(37, 79)(38, 80)(39, 78)(40, 77)(81, 122)(82, 126)(83, 129)(84, 121)(85, 130)(86, 124)(87, 131)(88, 132)(89, 125)(90, 123)(91, 128)(92, 127)(93, 137)(94, 138)(95, 139)(96, 140)(97, 134)(98, 133)(99, 136)(100, 135)(101, 145)(102, 146)(103, 147)(104, 148)(105, 142)(106, 141)(107, 144)(108, 143)(109, 153)(110, 154)(111, 155)(112, 156)(113, 150)(114, 149)(115, 152)(116, 151)(117, 159)(118, 160)(119, 158)(120, 157)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.675
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 16^10 ]

E21.677 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C4 x (C5 : C4) (small group id <80, 30>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y2 * R^-1 * Y1 * R, Y1^4, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (Y2 * Y1^-1)^2, Y2^4, (Y3 * Y2 * Y1^-1)^2, Y2^2 * Y1^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 11, 51, 26, 66, 10, 50)(4, 44, 9, 49, 20, 60, 14, 54)(6, 46, 16, 56, 27, 67, 18, 58)(8, 48, 22, 62, 12, 52, 21, 61)(13, 53, 28, 68, 38, 78, 25, 65)(15, 55, 30, 70, 39, 79, 32, 72)(17, 57, 19, 59, 33, 73, 23, 63)(24, 64, 36, 76, 29, 69, 35, 75)(31, 71, 34, 74, 40, 80, 37, 77)(81, 121, 83, 123, 92, 132, 86, 126)(82, 122, 88, 128, 103, 143, 90, 130)(84, 124, 93, 133, 109, 149, 95, 135)(85, 125, 96, 136, 106, 146, 97, 137)(87, 127, 99, 139, 98, 138, 101, 141)(89, 129, 104, 144, 117, 157, 105, 145)(91, 131, 107, 147, 113, 153, 102, 142)(94, 134, 110, 150, 118, 158, 111, 151)(100, 140, 114, 154, 112, 152, 115, 155)(108, 148, 119, 159, 120, 160, 116, 156)
	L = (1, 84)(2, 89)(3, 93)(4, 81)(5, 94)(6, 95)(7, 100)(8, 104)(9, 82)(10, 105)(11, 108)(12, 109)(13, 83)(14, 85)(15, 86)(16, 110)(17, 111)(18, 112)(19, 114)(20, 87)(21, 115)(22, 116)(23, 117)(24, 88)(25, 90)(26, 118)(27, 119)(28, 91)(29, 92)(30, 96)(31, 97)(32, 98)(33, 120)(34, 99)(35, 101)(36, 102)(37, 103)(38, 106)(39, 107)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.678 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C4 x (C5 : C4) (small group id <80, 30>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y1^-1 * R * Y2^-1 * R^-1, Y1^4, (Y2 * Y1^-1)^2, Y2^4, Y3 * Y2^-1 * Y3 * Y1^2 * Y2^-1, Y3 * Y1^-2 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3 * Y1^-1, Y2^-1 * Y1^-2 * Y2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 11, 51, 34, 74, 10, 50)(4, 44, 14, 54, 32, 72, 16, 56)(6, 46, 18, 58, 27, 67, 22, 62)(8, 48, 26, 66, 40, 80, 25, 65)(9, 49, 29, 69, 39, 79, 31, 71)(12, 52, 35, 75, 20, 60, 23, 63)(13, 53, 37, 77, 38, 78, 24, 64)(15, 55, 30, 70, 21, 61, 33, 73)(17, 57, 36, 76, 19, 59, 28, 68)(81, 121, 83, 123, 92, 132, 86, 126)(82, 122, 88, 128, 107, 147, 90, 130)(84, 124, 95, 135, 109, 149, 97, 137)(85, 125, 98, 138, 106, 146, 100, 140)(87, 127, 103, 143, 91, 131, 105, 145)(89, 129, 110, 150, 93, 133, 112, 152)(94, 134, 117, 157, 99, 139, 113, 153)(96, 136, 116, 156, 118, 158, 111, 151)(101, 141, 108, 148, 119, 159, 104, 144)(102, 142, 115, 155, 120, 160, 114, 154)
	L = (1, 84)(2, 89)(3, 93)(4, 81)(5, 99)(6, 101)(7, 104)(8, 108)(9, 82)(10, 113)(11, 111)(12, 116)(13, 83)(14, 103)(15, 105)(16, 107)(17, 114)(18, 109)(19, 85)(20, 110)(21, 86)(22, 117)(23, 94)(24, 87)(25, 95)(26, 118)(27, 96)(28, 88)(29, 98)(30, 100)(31, 91)(32, 120)(33, 90)(34, 97)(35, 119)(36, 92)(37, 102)(38, 106)(39, 115)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.679 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C20 : C4 (small group id <80, 31>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y1^4, Y2 * R^-1 * Y1 * R, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1 * Y1)^2, Y2^4, (Y3 * Y2 * Y1^-1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y1^-2 * Y2 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 11, 51, 26, 66, 10, 50)(4, 44, 9, 49, 20, 60, 14, 54)(6, 46, 16, 56, 35, 75, 18, 58)(8, 48, 22, 62, 31, 71, 21, 61)(12, 52, 30, 70, 24, 64, 29, 69)(13, 53, 28, 68, 36, 76, 25, 65)(15, 55, 32, 72, 27, 67, 34, 74)(17, 57, 19, 59, 39, 79, 37, 77)(23, 63, 33, 73, 38, 78, 40, 80)(81, 121, 83, 123, 92, 132, 86, 126)(82, 122, 88, 128, 103, 143, 90, 130)(84, 124, 93, 133, 111, 151, 95, 135)(85, 125, 96, 136, 116, 156, 97, 137)(87, 127, 99, 139, 114, 154, 101, 141)(89, 129, 104, 144, 117, 157, 105, 145)(91, 131, 107, 147, 119, 159, 109, 149)(94, 134, 112, 152, 106, 146, 113, 153)(98, 138, 110, 150, 100, 140, 118, 158)(102, 142, 108, 148, 115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 93)(4, 81)(5, 94)(6, 95)(7, 100)(8, 104)(9, 82)(10, 105)(11, 108)(12, 111)(13, 83)(14, 85)(15, 86)(16, 112)(17, 113)(18, 114)(19, 118)(20, 87)(21, 110)(22, 109)(23, 117)(24, 88)(25, 90)(26, 116)(27, 115)(28, 91)(29, 102)(30, 101)(31, 92)(32, 96)(33, 97)(34, 98)(35, 107)(36, 106)(37, 103)(38, 99)(39, 120)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.680 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = C20 : C4 (small group id <80, 31>)
|r| :: 4
Presentation :: [ Y3^2, R^-1 * Y3 * R^-1, Y1^4, Y2 * R^-1 * Y1 * R, (Y1 * Y2^-1)^2, Y2^4, Y2 * Y3 * Y2^-1 * Y1^-2, R^-1 * Y1^-1 * Y2 * Y1 * R^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 11, 51, 31, 71, 10, 50)(4, 44, 14, 54, 37, 77, 16, 56)(6, 46, 18, 58, 17, 57, 22, 62)(8, 48, 25, 65, 32, 72, 24, 64)(9, 49, 27, 67, 38, 78, 29, 69)(12, 52, 34, 74, 23, 63, 33, 73)(13, 53, 36, 76, 40, 80, 20, 60)(15, 55, 28, 68, 21, 61, 30, 70)(19, 59, 39, 79, 26, 66, 35, 75)(81, 121, 83, 123, 92, 132, 86, 126)(82, 122, 88, 128, 106, 146, 90, 130)(84, 124, 95, 135, 107, 147, 97, 137)(85, 125, 98, 138, 118, 158, 100, 140)(87, 127, 93, 133, 117, 157, 104, 144)(89, 129, 108, 148, 113, 153, 91, 131)(94, 134, 116, 156, 99, 139, 110, 150)(96, 136, 102, 142, 114, 154, 112, 152)(101, 141, 119, 159, 105, 145, 103, 143)(109, 149, 111, 151, 115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 93)(4, 81)(5, 99)(6, 101)(7, 103)(8, 98)(9, 82)(10, 110)(11, 112)(12, 115)(13, 83)(14, 113)(15, 104)(16, 106)(17, 111)(18, 88)(19, 85)(20, 108)(21, 86)(22, 116)(23, 87)(24, 95)(25, 120)(26, 96)(27, 119)(28, 100)(29, 117)(30, 90)(31, 97)(32, 91)(33, 94)(34, 118)(35, 92)(36, 102)(37, 109)(38, 114)(39, 107)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.681 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2 * Y3^-1, Y2 * R^-1 * Y1 * R, Y1^4, Y2^4, (Y2 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-2 * Y2^2 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 9, 49, 18, 58, 8, 48)(5, 45, 11, 51, 22, 62, 13, 53)(7, 47, 16, 56, 28, 68, 15, 55)(10, 50, 21, 61, 33, 73, 20, 60)(12, 52, 14, 54, 26, 66, 24, 64)(17, 57, 31, 71, 25, 65, 30, 70)(19, 59, 27, 67, 36, 76, 32, 72)(23, 63, 35, 75, 37, 77, 29, 69)(34, 74, 38, 78, 40, 80, 39, 79)(81, 121, 83, 123, 90, 130, 85, 125)(82, 122, 87, 127, 97, 137, 88, 128)(84, 124, 91, 131, 103, 143, 92, 132)(86, 126, 94, 134, 107, 147, 95, 135)(89, 129, 99, 139, 106, 146, 100, 140)(93, 133, 101, 141, 114, 154, 105, 145)(96, 136, 109, 149, 102, 142, 110, 150)(98, 138, 111, 151, 118, 158, 112, 152)(104, 144, 115, 155, 119, 159, 113, 153)(108, 148, 116, 156, 120, 160, 117, 157)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.682 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y3 * Y1 * Y2^-1, Y1^4, Y2^4, Y2 * R^-1 * Y1 * R, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 10, 50, 13, 53, 4, 44)(6, 46, 15, 55, 29, 69, 17, 57)(8, 48, 19, 59, 21, 61, 9, 49)(11, 51, 25, 65, 26, 66, 12, 52)(14, 54, 28, 68, 36, 76, 20, 60)(16, 56, 18, 58, 34, 74, 32, 72)(22, 62, 33, 73, 39, 79, 35, 75)(23, 63, 31, 71, 30, 70, 24, 64)(27, 67, 37, 77, 40, 80, 38, 78)(81, 121, 83, 123, 91, 131, 86, 126)(82, 122, 88, 128, 94, 134, 84, 124)(85, 125, 95, 135, 110, 150, 96, 136)(87, 127, 98, 138, 102, 142, 89, 129)(90, 130, 103, 143, 107, 147, 92, 132)(93, 133, 108, 148, 112, 152, 104, 144)(97, 137, 105, 145, 101, 141, 113, 153)(99, 139, 106, 146, 117, 157, 100, 140)(109, 149, 119, 159, 118, 158, 111, 151)(114, 154, 116, 156, 120, 160, 115, 155)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 86)(6, 85)(7, 96)(8, 100)(9, 82)(10, 104)(11, 97)(12, 83)(13, 94)(14, 93)(15, 111)(16, 87)(17, 91)(18, 115)(19, 105)(20, 88)(21, 102)(22, 101)(23, 118)(24, 90)(25, 99)(26, 107)(27, 106)(28, 114)(29, 113)(30, 112)(31, 95)(32, 110)(33, 109)(34, 108)(35, 98)(36, 117)(37, 116)(38, 103)(39, 120)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y3^2 * Y1^2, Y3^4, (R * Y2)^2, (Y3, Y1^-1), (R * Y3)^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2^5, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 21, 61, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52)(6, 46, 9, 49, 22, 62, 18, 58)(13, 53, 27, 67, 35, 75, 30, 70)(14, 54, 26, 66, 16, 56, 28, 68)(17, 57, 24, 64, 20, 60, 25, 65)(19, 59, 23, 63, 36, 76, 33, 73)(29, 69, 39, 79, 31, 71, 40, 80)(32, 72, 37, 77, 34, 74, 38, 78)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.687
Graph:: simple bipartite
	v = 18 e = 80 f = 22
	degree seq :: [ 8^10, 10^8 ]

E21.684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^2, Y3^4 * Y2^-1, Y2^5, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y1 * Y2^-2 * Y3^-1 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 25, 65, 15, 55)(4, 44, 17, 57, 26, 66, 12, 52)(6, 46, 9, 49, 27, 67, 20, 60)(7, 47, 21, 61, 28, 68, 10, 50)(13, 53, 34, 74, 24, 64, 32, 72)(14, 54, 30, 70, 23, 63, 35, 75)(16, 56, 38, 78, 40, 80, 33, 73)(18, 58, 36, 76, 22, 62, 29, 69)(19, 59, 39, 79, 37, 77, 31, 71)(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, 98, 138, 107, 147)(90, 130, 110, 150, 97, 137, 119, 159, 113, 153)(92, 132, 111, 151, 118, 158, 101, 141, 115, 155)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(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, 85)(18, 96)(19, 104)(20, 115)(21, 114)(22, 120)(23, 86)(24, 87)(25, 103)(26, 102)(27, 117)(28, 88)(29, 97)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.689
Graph:: simple bipartite
	v = 18 e = 80 f = 22
	degree seq :: [ 8^10, 10^8 ]

E21.685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3), Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^2, Y1^4, (Y1 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y3^-2 * Y1, Y1 * Y2^-1 * Y3^2 * Y1, Y2^5, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y3^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 18, 58, 15, 55)(4, 44, 17, 57, 16, 56, 12, 52)(6, 46, 9, 49, 24, 64, 20, 60)(7, 47, 21, 61, 19, 59, 10, 50)(13, 53, 27, 67, 33, 73, 30, 70)(14, 54, 32, 72, 31, 71, 28, 68)(22, 62, 25, 65, 38, 78, 35, 75)(23, 63, 36, 76, 34, 74, 26, 66)(29, 69, 39, 79, 37, 77, 40, 80)(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, 98, 138, 113, 153, 118, 158, 104, 144)(90, 130, 106, 146, 119, 159, 112, 152, 97, 137)(92, 132, 101, 141, 116, 156, 120, 160, 108, 148)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 101)(6, 99)(7, 81)(8, 96)(9, 106)(10, 100)(11, 97)(12, 82)(13, 109)(14, 113)(15, 92)(16, 83)(17, 85)(18, 111)(19, 88)(20, 116)(21, 89)(22, 114)(23, 86)(24, 87)(25, 119)(26, 115)(27, 112)(28, 91)(29, 118)(30, 108)(31, 93)(32, 95)(33, 117)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.688
Graph:: simple bipartite
	v = 18 e = 80 f = 22
	degree seq :: [ 8^10, 10^8 ]

E21.686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y1^4, (Y3 * Y1^-1)^2, (Y1 * Y3)^2, Y1 * Y2 * Y3^2 * Y1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y2^5, Y3^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 24, 64, 15, 55)(4, 44, 17, 57, 23, 63, 12, 52)(6, 46, 9, 49, 18, 58, 20, 60)(7, 47, 21, 61, 14, 54, 10, 50)(13, 53, 28, 68, 33, 73, 30, 70)(16, 56, 32, 72, 29, 69, 27, 67)(19, 59, 34, 74, 35, 75, 26, 66)(22, 62, 25, 65, 36, 76, 38, 78)(31, 71, 39, 79, 37, 77, 40, 80)(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, 115, 155, 103, 143)(88, 128, 104, 144, 113, 153, 116, 156, 98, 138)(90, 130, 97, 137, 114, 154, 120, 160, 107, 147)(92, 132, 106, 146, 119, 159, 112, 152, 101, 141)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 101)(6, 99)(7, 81)(8, 103)(9, 97)(10, 95)(11, 107)(12, 82)(13, 109)(14, 88)(15, 112)(16, 83)(17, 85)(18, 115)(19, 116)(20, 92)(21, 91)(22, 117)(23, 86)(24, 87)(25, 114)(26, 89)(27, 110)(28, 120)(29, 104)(30, 119)(31, 93)(32, 108)(33, 96)(34, 100)(35, 102)(36, 111)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.690
Graph:: simple bipartite
	v = 18 e = 80 f = 22
	degree seq :: [ 8^10, 10^8 ]

E21.687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2)^2, Y1^-5 * Y3^-1, (Y1^-1 * Y2 * Y1^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 20, 60, 19, 59, 6, 46, 10, 50, 23, 63, 36, 76, 30, 70, 15, 55, 28, 68, 40, 80, 33, 73, 16, 56, 4, 44, 9, 49, 22, 62, 18, 58, 5, 45)(3, 43, 11, 51, 29, 69, 39, 79, 25, 65, 14, 54, 32, 72, 35, 75, 26, 66, 8, 48, 24, 64, 17, 57, 34, 74, 37, 77, 27, 67, 12, 52, 31, 71, 38, 78, 21, 61, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 97, 137)(86, 126, 94, 134)(87, 127, 101, 141)(89, 129, 105, 145)(90, 130, 107, 147)(91, 131, 110, 150)(93, 133, 108, 148)(95, 135, 104, 144)(96, 136, 112, 152)(98, 138, 109, 149)(99, 139, 111, 151)(100, 140, 115, 155)(102, 142, 117, 157)(103, 143, 119, 159)(106, 146, 120, 160)(113, 153, 118, 158)(114, 154, 116, 156)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 96)(6, 81)(7, 102)(8, 105)(9, 108)(10, 82)(11, 111)(12, 104)(13, 107)(14, 83)(15, 86)(16, 110)(17, 112)(18, 113)(19, 85)(20, 98)(21, 117)(22, 120)(23, 87)(24, 94)(25, 93)(26, 119)(27, 88)(28, 90)(29, 118)(30, 99)(31, 97)(32, 91)(33, 116)(34, 115)(35, 109)(36, 100)(37, 106)(38, 114)(39, 101)(40, 103)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.683
Graph:: bipartite
	v = 22 e = 80 f = 18
	degree seq :: [ 4^20, 40^2 ]

E21.688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, Y3^2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1^-1 * Y2, (Y3^-2 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^5, Y3^2 * Y1^18 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 16, 56, 25, 65, 33, 73, 32, 72, 24, 64, 15, 55, 6, 46, 10, 50, 4, 44, 9, 49, 18, 58, 27, 67, 35, 75, 31, 71, 23, 63, 14, 54, 5, 45)(3, 43, 11, 51, 21, 61, 29, 69, 37, 77, 39, 79, 36, 76, 26, 66, 20, 60, 8, 48, 19, 59, 12, 52, 22, 62, 30, 70, 38, 78, 40, 80, 34, 74, 28, 68, 17, 57, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 93, 133)(85, 125, 92, 132)(86, 126, 91, 131)(87, 127, 97, 137)(89, 129, 100, 140)(90, 130, 99, 139)(94, 134, 101, 141)(95, 135, 102, 142)(96, 136, 106, 146)(98, 138, 108, 148)(103, 143, 110, 150)(104, 144, 109, 149)(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, 89)(3, 92)(4, 87)(5, 90)(6, 81)(7, 98)(8, 83)(9, 96)(10, 82)(11, 102)(12, 101)(13, 99)(14, 86)(15, 85)(16, 107)(17, 88)(18, 105)(19, 91)(20, 93)(21, 110)(22, 109)(23, 95)(24, 94)(25, 115)(26, 97)(27, 113)(28, 100)(29, 118)(30, 117)(31, 104)(32, 103)(33, 111)(34, 106)(35, 112)(36, 108)(37, 120)(38, 119)(39, 114)(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) :: { ( 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 E21.685
Graph:: bipartite
	v = 22 e = 80 f = 18
	degree seq :: [ 4^20, 40^2 ]

E21.689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y1^-1, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-2)^2, Y3^-1 * Y2 * Y1^-1 * R * Y2 * R, (Y2 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * R * Y1^-1 * Y3^-1 * Y1^-1 * R * Y2 * Y1^-1, (Y1^-1 * Y2)^4, Y2 * Y3^-2 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y1^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 21, 61, 36, 76, 35, 75, 16, 56, 4, 44, 9, 49, 23, 63, 37, 77, 32, 72, 19, 59, 6, 46, 10, 50, 24, 64, 38, 78, 33, 73, 18, 58, 5, 45)(3, 43, 11, 51, 28, 68, 15, 55, 34, 74, 39, 79, 30, 70, 12, 52, 27, 67, 8, 48, 25, 65, 17, 57, 29, 69, 14, 54, 31, 71, 40, 80, 26, 66, 20, 60, 22, 62, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 95, 135)(85, 125, 97, 137)(86, 126, 100, 140)(87, 127, 102, 142)(89, 129, 109, 149)(90, 130, 110, 150)(91, 131, 103, 143)(92, 132, 101, 141)(93, 133, 112, 152)(94, 134, 113, 153)(96, 136, 111, 151)(98, 138, 108, 148)(99, 139, 107, 147)(104, 144, 120, 160)(105, 145, 117, 157)(106, 146, 116, 156)(114, 154, 118, 158)(115, 155, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 90)(5, 96)(6, 81)(7, 103)(8, 106)(9, 104)(10, 82)(11, 107)(12, 111)(13, 110)(14, 83)(15, 105)(16, 86)(17, 102)(18, 115)(19, 85)(20, 114)(21, 117)(22, 119)(23, 118)(24, 87)(25, 100)(26, 95)(27, 120)(28, 88)(29, 93)(30, 94)(31, 91)(32, 98)(33, 116)(34, 97)(35, 99)(36, 112)(37, 113)(38, 101)(39, 109)(40, 108)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E21.684
Graph:: bipartite
	v = 22 e = 80 f = 18
	degree seq :: [ 4^20, 40^2 ]

E21.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-3, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1^-2, (Y1^-1 * Y2 * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y2 * Y3^3 * Y2 * Y1^-1, (Y1^-1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 4, 44, 9, 49, 22, 62, 16, 56, 28, 68, 38, 78, 31, 71, 39, 79, 33, 73, 40, 80, 34, 74, 20, 60, 30, 70, 18, 58, 6, 46, 10, 50, 5, 45)(3, 43, 11, 51, 29, 69, 12, 52, 32, 72, 37, 77, 26, 66, 15, 55, 25, 65, 8, 48, 23, 63, 17, 57, 24, 64, 19, 59, 35, 75, 36, 76, 27, 67, 14, 54, 21, 61, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 95, 135)(85, 125, 97, 137)(86, 126, 99, 139)(87, 127, 101, 141)(89, 129, 107, 147)(90, 130, 109, 149)(91, 131, 111, 151)(92, 132, 108, 148)(93, 133, 113, 153)(94, 134, 114, 154)(96, 136, 115, 155)(98, 138, 112, 152)(100, 140, 106, 146)(102, 142, 117, 157)(103, 143, 119, 159)(104, 144, 118, 158)(105, 145, 120, 160)(110, 150, 116, 156)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 87)(6, 81)(7, 102)(8, 104)(9, 108)(10, 82)(11, 112)(12, 106)(13, 109)(14, 83)(15, 103)(16, 111)(17, 115)(18, 85)(19, 107)(20, 86)(21, 91)(22, 118)(23, 99)(24, 116)(25, 97)(26, 88)(27, 93)(28, 119)(29, 117)(30, 90)(31, 120)(32, 95)(33, 100)(34, 98)(35, 94)(36, 101)(37, 105)(38, 113)(39, 114)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 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 E21.686
Graph:: bipartite
	v = 22 e = 80 f = 18
	degree seq :: [ 4^20, 40^2 ]

E21.691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, R * Y2 * R * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2^5, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 14, 54)(5, 45, 7, 47)(6, 46, 19, 59)(8, 48, 12, 52)(10, 50, 13, 53)(11, 51, 23, 63)(15, 55, 29, 69)(16, 56, 22, 62)(17, 57, 20, 60)(18, 58, 33, 73)(21, 61, 25, 65)(24, 64, 26, 66)(27, 67, 35, 75)(28, 68, 31, 71)(30, 70, 34, 74)(32, 72, 36, 76)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 91, 131, 97, 137, 85, 125)(82, 122, 87, 127, 100, 140, 103, 143, 89, 129)(84, 124, 95, 135, 110, 150, 105, 145, 92, 132)(86, 126, 98, 138, 112, 152, 106, 146, 93, 133)(88, 128, 101, 141, 114, 154, 109, 149, 94, 134)(90, 130, 104, 144, 116, 156, 113, 153, 99, 139)(96, 136, 107, 147, 117, 157, 119, 159, 111, 151)(102, 142, 108, 148, 118, 158, 120, 160, 115, 155)
	L = (1, 84)(2, 88)(3, 92)(4, 96)(5, 95)(6, 81)(7, 94)(8, 102)(9, 101)(10, 82)(11, 105)(12, 107)(13, 83)(14, 108)(15, 111)(16, 86)(17, 110)(18, 85)(19, 87)(20, 109)(21, 115)(22, 90)(23, 114)(24, 89)(25, 117)(26, 91)(27, 93)(28, 99)(29, 118)(30, 119)(31, 98)(32, 97)(33, 100)(34, 120)(35, 104)(36, 103)(37, 106)(38, 113)(39, 112)(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) :: { ( 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.696
Graph:: simple bipartite
	v = 28 e = 80 f = 12
	degree seq :: [ 4^20, 10^8 ]

E21.692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^5, (Y3^2 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 14, 54)(5, 45, 7, 47)(6, 46, 19, 59)(8, 48, 15, 55)(10, 50, 18, 58)(11, 51, 24, 64)(12, 52, 27, 67)(13, 53, 29, 69)(16, 56, 23, 63)(17, 57, 20, 60)(21, 61, 31, 71)(22, 62, 33, 73)(25, 65, 34, 74)(26, 66, 35, 75)(28, 68, 30, 70)(32, 72, 36, 76)(37, 77, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 97, 137, 85, 125)(82, 122, 87, 127, 100, 140, 104, 144, 89, 129)(84, 124, 95, 135, 111, 151, 105, 145, 92, 132)(86, 126, 98, 138, 113, 153, 106, 146, 93, 133)(88, 128, 94, 134, 107, 147, 114, 154, 101, 141)(90, 130, 99, 139, 109, 149, 115, 155, 102, 142)(96, 136, 108, 148, 117, 157, 119, 159, 112, 152)(103, 143, 116, 156, 120, 160, 118, 158, 110, 150)
	L = (1, 84)(2, 88)(3, 92)(4, 96)(5, 95)(6, 81)(7, 101)(8, 103)(9, 94)(10, 82)(11, 105)(12, 108)(13, 83)(14, 110)(15, 112)(16, 86)(17, 111)(18, 85)(19, 89)(20, 114)(21, 116)(22, 87)(23, 90)(24, 107)(25, 117)(26, 91)(27, 118)(28, 93)(29, 104)(30, 99)(31, 119)(32, 98)(33, 97)(34, 120)(35, 100)(36, 102)(37, 106)(38, 109)(39, 113)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.697
Graph:: simple bipartite
	v = 28 e = 80 f = 12
	degree seq :: [ 4^20, 10^8 ]

E21.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1 * Y1)^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y3^4, R * Y2 * R * Y2^-1, Y2^5, Y3^-1 * Y2^-2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2^2 * Y1 * Y3 * Y2 * Y1 * Y3^-1, Y3^-2 * Y2^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 14, 54)(5, 45, 7, 47)(6, 46, 19, 59)(8, 48, 23, 63)(10, 50, 28, 68)(11, 51, 26, 66)(12, 52, 21, 61)(13, 53, 22, 62)(15, 55, 31, 71)(16, 56, 25, 65)(17, 57, 20, 60)(18, 58, 35, 75)(24, 64, 32, 72)(27, 67, 34, 74)(29, 69, 38, 78)(30, 70, 39, 79)(33, 73, 36, 76)(37, 77, 40, 80)(81, 121, 83, 123, 91, 131, 97, 137, 85, 125)(82, 122, 87, 127, 100, 140, 106, 146, 89, 129)(84, 124, 95, 135, 112, 152, 103, 143, 92, 132)(86, 126, 98, 138, 114, 154, 108, 148, 93, 133)(88, 128, 104, 144, 111, 151, 94, 134, 101, 141)(90, 130, 107, 147, 115, 155, 99, 139, 102, 142)(96, 136, 109, 149, 117, 157, 119, 159, 113, 153)(105, 145, 116, 156, 110, 150, 120, 160, 118, 158)
	L = (1, 84)(2, 88)(3, 92)(4, 96)(5, 95)(6, 81)(7, 101)(8, 105)(9, 104)(10, 82)(11, 103)(12, 109)(13, 83)(14, 110)(15, 113)(16, 86)(17, 112)(18, 85)(19, 100)(20, 94)(21, 116)(22, 87)(23, 117)(24, 118)(25, 90)(26, 111)(27, 89)(28, 91)(29, 93)(30, 99)(31, 120)(32, 119)(33, 98)(34, 97)(35, 106)(36, 102)(37, 108)(38, 107)(39, 114)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.695
Graph:: simple bipartite
	v = 28 e = 80 f = 12
	degree seq :: [ 4^20, 10^8 ]

E21.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (Y1 * Y2^-1)^2, Y3^4, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^5, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, (Y3^-1 * Y2^-1 * Y3^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 14, 54)(5, 45, 7, 47)(6, 46, 19, 59)(8, 48, 23, 63)(10, 50, 28, 68)(11, 51, 26, 66)(12, 52, 31, 71)(13, 53, 33, 73)(15, 55, 24, 64)(16, 56, 25, 65)(17, 57, 20, 60)(18, 58, 27, 67)(21, 61, 29, 69)(22, 62, 30, 70)(32, 72, 38, 78)(34, 74, 39, 79)(35, 75, 36, 76)(37, 77, 40, 80)(81, 121, 83, 123, 91, 131, 97, 137, 85, 125)(82, 122, 87, 127, 100, 140, 106, 146, 89, 129)(84, 124, 95, 135, 103, 143, 109, 149, 92, 132)(86, 126, 98, 138, 108, 148, 110, 150, 93, 133)(88, 128, 104, 144, 94, 134, 111, 151, 101, 141)(90, 130, 107, 147, 99, 139, 113, 153, 102, 142)(96, 136, 112, 152, 119, 159, 117, 157, 115, 155)(105, 145, 116, 156, 120, 160, 114, 154, 118, 158)
	L = (1, 84)(2, 88)(3, 92)(4, 96)(5, 95)(6, 81)(7, 101)(8, 105)(9, 104)(10, 82)(11, 109)(12, 112)(13, 83)(14, 114)(15, 115)(16, 86)(17, 103)(18, 85)(19, 106)(20, 111)(21, 116)(22, 87)(23, 117)(24, 118)(25, 90)(26, 94)(27, 89)(28, 97)(29, 119)(30, 91)(31, 120)(32, 93)(33, 100)(34, 99)(35, 98)(36, 102)(37, 108)(38, 107)(39, 110)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.698
Graph:: simple bipartite
	v = 28 e = 80 f = 12
	degree seq :: [ 4^20, 10^8 ]

E21.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y1^4, Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1)^2, Y3^2 * Y1^-2, (R * Y3)^2, (Y2, Y3^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y1^2, Y2^-5 * Y3, Y2 * Y3^2 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 21, 61, 11, 51)(4, 44, 10, 50, 7, 47, 12, 52)(6, 46, 18, 58, 22, 62, 9, 49)(14, 54, 27, 67, 35, 75, 29, 69)(15, 55, 28, 68, 16, 56, 26, 66)(17, 57, 25, 65, 20, 60, 24, 64)(19, 59, 23, 63, 36, 76, 33, 73)(30, 70, 38, 78, 34, 74, 39, 79)(31, 71, 37, 77, 32, 72, 40, 80)(81, 121, 83, 123, 94, 134, 110, 150, 97, 137, 84, 124, 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)(82, 122, 89, 129, 103, 143, 117, 157, 106, 146, 90, 130, 104, 144, 118, 158, 109, 149, 93, 133, 85, 125, 98, 138, 113, 153, 120, 160, 108, 148, 92, 132, 105, 145, 119, 159, 107, 147, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 88)(5, 92)(6, 97)(7, 81)(8, 87)(9, 104)(10, 85)(11, 106)(12, 82)(13, 108)(14, 111)(15, 101)(16, 83)(17, 102)(18, 105)(19, 110)(20, 86)(21, 96)(22, 100)(23, 118)(24, 98)(25, 89)(26, 93)(27, 117)(28, 91)(29, 120)(30, 116)(31, 115)(32, 94)(33, 119)(34, 99)(35, 112)(36, 114)(37, 109)(38, 113)(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, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E21.693
Graph:: bipartite
	v = 12 e = 80 f = 28
	degree seq :: [ 8^10, 40^2 ]

E21.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1^2, Y2^2 * Y3^2, (Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^4, (Y2 * Y1)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (Y3 * Y2^-1)^5, Y3^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 10, 50, 7, 47, 11, 51)(4, 44, 9, 49, 6, 46, 12, 52)(13, 53, 19, 59, 14, 54, 20, 60)(15, 55, 17, 57, 16, 56, 18, 58)(21, 61, 27, 67, 22, 62, 28, 68)(23, 63, 25, 65, 24, 64, 26, 66)(29, 69, 35, 75, 30, 70, 36, 76)(31, 71, 33, 73, 32, 72, 34, 74)(37, 77, 39, 79, 38, 78, 40, 80)(81, 121, 83, 123, 93, 133, 101, 141, 109, 149, 117, 157, 112, 152, 103, 143, 96, 136, 84, 124, 88, 128, 87, 127, 94, 134, 102, 142, 110, 150, 118, 158, 111, 151, 104, 144, 95, 135, 86, 126)(82, 122, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 116, 156, 107, 147, 100, 140, 90, 130, 85, 125, 92, 132, 98, 138, 106, 146, 114, 154, 120, 160, 115, 155, 108, 148, 99, 139, 91, 131)
	L = (1, 84)(2, 90)(3, 88)(4, 95)(5, 91)(6, 96)(7, 81)(8, 86)(9, 85)(10, 99)(11, 100)(12, 82)(13, 87)(14, 83)(15, 103)(16, 104)(17, 92)(18, 89)(19, 107)(20, 108)(21, 94)(22, 93)(23, 111)(24, 112)(25, 98)(26, 97)(27, 115)(28, 116)(29, 102)(30, 101)(31, 117)(32, 118)(33, 106)(34, 105)(35, 119)(36, 120)(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) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E21.691
Graph:: bipartite
	v = 12 e = 80 f = 28
	degree seq :: [ 8^10, 40^2 ]

E21.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3^-3 * Y2^-1, (Y3 * Y1^-1)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1, Y1^2 * Y3 * Y2 * Y1^2 * Y3^2, Y2^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 23, 63, 11, 51)(4, 44, 17, 57, 24, 64, 12, 52)(6, 46, 20, 60, 25, 65, 9, 49)(7, 47, 21, 61, 26, 66, 10, 50)(14, 54, 32, 72, 19, 59, 29, 69)(15, 55, 30, 70, 37, 77, 33, 73)(16, 56, 31, 71, 22, 62, 27, 67)(18, 58, 28, 68, 38, 78, 35, 75)(34, 74, 39, 79, 36, 76, 40, 80)(81, 121, 83, 123, 94, 134, 104, 144, 117, 157, 116, 156, 98, 138, 87, 127, 96, 136, 105, 145, 88, 128, 103, 143, 99, 139, 84, 124, 95, 135, 114, 154, 118, 158, 106, 146, 102, 142, 86, 126)(82, 122, 89, 129, 107, 147, 101, 141, 115, 155, 120, 160, 110, 150, 92, 132, 109, 149, 93, 133, 85, 125, 100, 140, 111, 151, 90, 130, 108, 148, 119, 159, 113, 153, 97, 137, 112, 152, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 98)(5, 101)(6, 99)(7, 81)(8, 104)(9, 108)(10, 110)(11, 111)(12, 82)(13, 107)(14, 114)(15, 87)(16, 83)(17, 85)(18, 86)(19, 116)(20, 115)(21, 113)(22, 103)(23, 117)(24, 118)(25, 94)(26, 88)(27, 119)(28, 92)(29, 89)(30, 91)(31, 120)(32, 100)(33, 93)(34, 96)(35, 97)(36, 102)(37, 106)(38, 105)(39, 109)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.692
Graph:: bipartite
	v = 12 e = 80 f = 28
	degree seq :: [ 8^10, 40^2 ]

E21.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1^-1)^2, Y3^-1 * Y2^-3, (Y1^-1 * Y2)^2, (Y3^-1, Y2), (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y2)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3 * Y1^-2, Y1 * Y2^-1 * Y1^-1 * Y3^-3, Y2 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1, Y1^2 * Y2^-1 * Y3^-1 * Y1^2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 23, 63, 11, 51)(4, 44, 17, 57, 24, 64, 12, 52)(6, 46, 20, 60, 25, 65, 9, 49)(7, 47, 21, 61, 26, 66, 10, 50)(14, 54, 28, 68, 37, 77, 33, 73)(15, 55, 27, 67, 38, 78, 34, 74)(16, 56, 31, 71, 18, 58, 32, 72)(19, 59, 29, 69, 22, 62, 30, 70)(35, 75, 39, 79, 36, 76, 40, 80)(81, 121, 83, 123, 94, 134, 87, 127, 96, 136, 115, 155, 102, 142, 104, 144, 118, 158, 105, 145, 88, 128, 103, 143, 117, 157, 106, 146, 98, 138, 116, 156, 99, 139, 84, 124, 95, 135, 86, 126)(82, 122, 89, 129, 107, 147, 92, 132, 109, 149, 119, 159, 112, 152, 101, 141, 113, 153, 93, 133, 85, 125, 100, 140, 114, 154, 97, 137, 110, 150, 120, 160, 111, 151, 90, 130, 108, 148, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 98)(5, 101)(6, 99)(7, 81)(8, 104)(9, 108)(10, 110)(11, 111)(12, 82)(13, 112)(14, 86)(15, 116)(16, 83)(17, 85)(18, 103)(19, 106)(20, 113)(21, 109)(22, 87)(23, 118)(24, 96)(25, 102)(26, 88)(27, 91)(28, 120)(29, 89)(30, 100)(31, 97)(32, 92)(33, 119)(34, 93)(35, 94)(36, 117)(37, 105)(38, 115)(39, 107)(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, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E21.694
Graph:: bipartite
	v = 12 e = 80 f = 28
	degree seq :: [ 8^10, 40^2 ]

E21.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^5 * 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, 18, 58)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(16, 56, 23, 63)(17, 57, 24, 64)(25, 65, 31, 71)(26, 66, 32, 72)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(30, 70, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 92, 132, 105, 145, 95, 135)(86, 126, 93, 133, 106, 146, 96, 136)(88, 128, 99, 139, 111, 151, 102, 142)(90, 130, 100, 140, 112, 152, 103, 143)(94, 134, 107, 147, 117, 157, 109, 149)(97, 137, 108, 148, 118, 158, 110, 150)(101, 141, 113, 153, 119, 159, 115, 155)(104, 144, 114, 154, 120, 160, 116, 156)
	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, 85)(17, 86)(18, 111)(19, 113)(20, 87)(21, 114)(22, 115)(23, 89)(24, 90)(25, 117)(26, 91)(27, 118)(28, 93)(29, 97)(30, 96)(31, 119)(32, 98)(33, 120)(34, 100)(35, 104)(36, 103)(37, 110)(38, 106)(39, 116)(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) :: { ( 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.702
Graph:: simple bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (R * Y2)^2, (Y3, Y1^-1), Y3^4, (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (Y2, Y1^-1), Y2^5, Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 9, 49, 21, 61, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52)(6, 46, 11, 51, 22, 62, 18, 58)(13, 53, 23, 63, 35, 75, 30, 70)(14, 54, 24, 64, 16, 56, 25, 65)(17, 57, 26, 66, 20, 60, 28, 68)(19, 59, 27, 67, 36, 76, 33, 73)(29, 69, 37, 77, 31, 71, 38, 78)(32, 72, 39, 79, 34, 74, 40, 80)(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) :: { ( 4, 40, 4, 40, 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.701
Graph:: simple bipartite
	v = 18 e = 80 f = 22
	degree seq :: [ 8^10, 10^8 ]

E21.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y2 * Y1 * Y2, (Y1, Y3^-1), Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y1^5 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 18, 58, 17, 57, 6, 46, 10, 50, 21, 61, 32, 72, 29, 69, 14, 54, 24, 64, 35, 75, 30, 70, 15, 55, 4, 44, 9, 49, 20, 60, 16, 56, 5, 45)(3, 43, 8, 48, 19, 59, 31, 71, 28, 68, 13, 53, 23, 63, 34, 74, 39, 79, 37, 77, 25, 65, 36, 76, 40, 80, 38, 78, 26, 66, 11, 51, 22, 62, 33, 73, 27, 67, 12, 52)(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, 102, 142)(90, 130, 103, 143)(94, 134, 105, 145)(95, 135, 106, 146)(96, 136, 107, 147)(97, 137, 108, 148)(98, 138, 111, 151)(100, 140, 113, 153)(101, 141, 114, 154)(104, 144, 116, 156)(109, 149, 117, 157)(110, 150, 118, 158)(112, 152, 119, 159)(115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 104)(10, 82)(11, 105)(12, 106)(13, 83)(14, 86)(15, 109)(16, 110)(17, 85)(18, 96)(19, 113)(20, 115)(21, 87)(22, 116)(23, 88)(24, 90)(25, 93)(26, 117)(27, 118)(28, 92)(29, 97)(30, 112)(31, 107)(32, 98)(33, 120)(34, 99)(35, 101)(36, 103)(37, 108)(38, 119)(39, 111)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E21.700
Graph:: bipartite
	v = 22 e = 80 f = 18
	degree seq :: [ 4^20, 40^2 ]

E21.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (Y3, Y2^-1), (R * Y1)^2, Y3^-2 * Y2^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3, Y1^-1), Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^4 * Y1^-1, Y1^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 5, 45)(3, 43, 9, 49, 23, 63, 30, 70, 15, 55)(4, 44, 10, 50, 24, 64, 32, 72, 17, 57)(6, 46, 11, 51, 25, 65, 33, 73, 19, 59)(7, 47, 12, 52, 26, 66, 34, 74, 20, 60)(13, 53, 27, 67, 37, 77, 35, 75, 21, 61)(14, 54, 28, 68, 38, 78, 36, 76, 22, 62)(16, 56, 29, 69, 39, 79, 40, 80, 31, 71)(81, 121, 83, 123, 93, 133, 91, 131, 82, 122, 89, 129, 107, 147, 105, 145, 88, 128, 103, 143, 117, 157, 113, 153, 98, 138, 110, 150, 115, 155, 99, 139, 85, 125, 95, 135, 101, 141, 86, 126)(84, 124, 94, 134, 92, 132, 109, 149, 90, 130, 108, 148, 106, 146, 119, 159, 104, 144, 118, 158, 114, 154, 120, 160, 112, 152, 116, 156, 100, 140, 111, 151, 97, 137, 102, 142, 87, 127, 96, 136)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 97)(6, 96)(7, 81)(8, 104)(9, 108)(10, 107)(11, 109)(12, 82)(13, 92)(14, 91)(15, 102)(16, 83)(17, 101)(18, 112)(19, 111)(20, 85)(21, 87)(22, 86)(23, 118)(24, 117)(25, 119)(26, 88)(27, 106)(28, 105)(29, 89)(30, 116)(31, 95)(32, 115)(33, 120)(34, 98)(35, 100)(36, 99)(37, 114)(38, 113)(39, 103)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.699
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 10^8, 40^2 ]

E21.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3^4, Y2^5, Y2^-1 * Y3^2 * 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, 111, 151, 95, 135)(86, 126, 93, 133, 108, 148, 112, 152, 97, 137)(88, 128, 100, 140, 113, 153, 117, 157, 103, 143)(90, 130, 101, 141, 114, 154, 118, 158, 105, 145)(94, 134, 98, 138, 109, 149, 119, 159, 110, 150)(102, 142, 106, 146, 115, 155, 120, 160, 116, 156)
	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, 119)(32, 96)(33, 115)(34, 99)(35, 101)(36, 118)(37, 120)(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) :: { ( 8, 40, 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.704
Graph:: simple bipartite
	v = 28 e = 80 f = 12
	degree seq :: [ 4^20, 10^8 ]

E21.704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 5, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (Y2, Y1^-1), Y3^4, (R * Y2)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y2, Y3^-1), (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^-5 * Y3, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^2 * Y2^2 * Y3^2 * Y2^-1, Y2 * Y1^-1 * Y2^2 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 9, 49, 21, 61, 15, 55)(4, 44, 10, 50, 7, 47, 12, 52)(6, 46, 11, 51, 22, 62, 18, 58)(13, 53, 23, 63, 35, 75, 31, 71)(14, 54, 24, 64, 16, 56, 25, 65)(17, 57, 26, 66, 20, 60, 28, 68)(19, 59, 27, 67, 36, 76, 33, 73)(29, 69, 37, 77, 34, 74, 40, 80)(30, 70, 38, 78, 32, 72, 39, 79)(81, 121, 83, 123, 93, 133, 109, 149, 97, 137, 84, 124, 94, 134, 110, 150, 116, 156, 102, 142, 88, 128, 101, 141, 115, 155, 114, 154, 100, 140, 87, 127, 96, 136, 112, 152, 99, 139, 86, 126)(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, 120, 160, 108, 148, 92, 132, 105, 145, 119, 159, 107, 147, 91, 131)
	L = (1, 84)(2, 90)(3, 94)(4, 88)(5, 92)(6, 97)(7, 81)(8, 87)(9, 104)(10, 85)(11, 106)(12, 82)(13, 110)(14, 101)(15, 105)(16, 83)(17, 102)(18, 108)(19, 109)(20, 86)(21, 96)(22, 100)(23, 118)(24, 95)(25, 89)(26, 98)(27, 117)(28, 91)(29, 116)(30, 115)(31, 119)(32, 93)(33, 120)(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, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 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 E21.703
Graph:: bipartite
	v = 12 e = 80 f = 28
	degree seq :: [ 8^10, 40^2 ]

E21.705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2 * Y1)^2, (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3^-2 * Y1 * Y3^2 * Y2^-1 * Y1, Y2^-1 * Y3^7 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 13, 55)(5, 47, 7, 49)(6, 48, 17, 59)(8, 50, 11, 53)(10, 52, 16, 58)(12, 54, 19, 61)(14, 56, 26, 68)(15, 57, 21, 63)(18, 60, 31, 73)(20, 62, 28, 70)(22, 64, 24, 66)(23, 65, 25, 67)(27, 69, 33, 75)(29, 71, 30, 72)(32, 74, 34, 76)(35, 77, 38, 80)(36, 78, 41, 83)(37, 79, 39, 81)(40, 82, 42, 84)(85, 127, 87, 129, 89, 131)(86, 128, 91, 133, 93, 135)(88, 130, 95, 137, 99, 141)(90, 132, 96, 138, 100, 142)(92, 134, 97, 139, 105, 147)(94, 136, 103, 145, 101, 143)(98, 140, 107, 149, 112, 154)(102, 144, 108, 150, 113, 155)(104, 146, 109, 151, 110, 152)(106, 148, 115, 157, 114, 156)(111, 153, 119, 161, 123, 165)(116, 158, 120, 162, 124, 166)(117, 159, 121, 163, 122, 164)(118, 160, 126, 168, 125, 167)
	L = (1, 88)(2, 92)(3, 95)(4, 98)(5, 99)(6, 85)(7, 97)(8, 104)(9, 105)(10, 86)(11, 107)(12, 87)(13, 109)(14, 111)(15, 112)(16, 89)(17, 93)(18, 90)(19, 91)(20, 117)(21, 110)(22, 94)(23, 119)(24, 96)(25, 121)(26, 122)(27, 120)(28, 123)(29, 100)(30, 101)(31, 103)(32, 102)(33, 126)(34, 106)(35, 124)(36, 108)(37, 125)(38, 118)(39, 116)(40, 113)(41, 114)(42, 115)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E21.708
Graph:: simple bipartite
	v = 35 e = 84 f = 9
	degree seq :: [ 4^21, 6^14 ]

E21.706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 7, 49, 12, 54)(4, 46, 13, 55, 8, 50)(6, 48, 9, 51, 15, 57)(10, 52, 17, 59, 23, 65)(11, 53, 24, 66, 18, 60)(14, 56, 25, 67, 19, 61)(16, 58, 20, 62, 27, 69)(21, 63, 29, 71, 34, 76)(22, 64, 35, 77, 30, 72)(26, 68, 36, 78, 31, 73)(28, 70, 32, 74, 38, 80)(33, 75, 41, 83, 39, 81)(37, 79, 42, 84, 40, 82)(85, 127, 87, 129, 94, 136, 105, 147, 112, 154, 100, 142, 90, 132)(86, 128, 91, 133, 101, 143, 113, 155, 116, 158, 104, 146, 93, 135)(88, 130, 95, 137, 106, 148, 117, 159, 121, 163, 110, 152, 98, 140)(89, 131, 96, 138, 107, 149, 118, 160, 122, 164, 111, 153, 99, 141)(92, 134, 102, 144, 114, 156, 123, 165, 124, 166, 115, 157, 103, 145)(97, 139, 108, 150, 119, 161, 125, 167, 126, 168, 120, 162, 109, 151)
	L = (1, 88)(2, 92)(3, 95)(4, 85)(5, 97)(6, 98)(7, 102)(8, 86)(9, 103)(10, 106)(11, 87)(12, 108)(13, 89)(14, 90)(15, 109)(16, 110)(17, 114)(18, 91)(19, 93)(20, 115)(21, 117)(22, 94)(23, 119)(24, 96)(25, 99)(26, 100)(27, 120)(28, 121)(29, 123)(30, 101)(31, 104)(32, 124)(33, 105)(34, 125)(35, 107)(36, 111)(37, 112)(38, 126)(39, 113)(40, 116)(41, 118)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E21.707
Graph:: simple bipartite
	v = 20 e = 84 f = 24
	degree seq :: [ 6^14, 14^6 ]

E21.707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3)^2, Y2 * Y1^-2 * Y2 * Y1^2, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y3 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 6, 48, 16, 58, 29, 71, 26, 68, 13, 55, 4, 46, 8, 50, 18, 60, 31, 73, 28, 70, 15, 57, 5, 47)(3, 45, 9, 51, 17, 59, 32, 74, 39, 81, 35, 77, 23, 65, 10, 52, 22, 64, 33, 75, 42, 84, 37, 79, 25, 67, 11, 53)(7, 49, 19, 61, 30, 72, 40, 82, 36, 78, 24, 66, 12, 54, 20, 62, 34, 76, 41, 83, 38, 80, 27, 69, 14, 56, 21, 63)(85, 127, 87, 129)(86, 128, 91, 133)(88, 130, 96, 138)(89, 131, 98, 140)(90, 132, 101, 143)(92, 134, 106, 148)(93, 135, 104, 146)(94, 136, 105, 147)(95, 137, 108, 150)(97, 139, 107, 149)(99, 141, 109, 151)(100, 142, 114, 156)(102, 144, 118, 160)(103, 145, 117, 159)(110, 152, 120, 162)(111, 153, 119, 161)(112, 154, 122, 164)(113, 155, 123, 165)(115, 157, 126, 168)(116, 158, 125, 167)(121, 163, 124, 166)
	L = (1, 88)(2, 92)(3, 94)(4, 85)(5, 97)(6, 102)(7, 104)(8, 86)(9, 106)(10, 87)(11, 107)(12, 105)(13, 89)(14, 108)(15, 110)(16, 115)(17, 117)(18, 90)(19, 118)(20, 91)(21, 96)(22, 93)(23, 95)(24, 98)(25, 119)(26, 99)(27, 120)(28, 113)(29, 112)(30, 125)(31, 100)(32, 126)(33, 101)(34, 103)(35, 109)(36, 111)(37, 123)(38, 124)(39, 121)(40, 122)(41, 114)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 14, 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.706
Graph:: bipartite
	v = 24 e = 84 f = 20
	degree seq :: [ 4^21, 28^3 ]

E21.708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, (Y3, Y1), (Y2^-1 * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, R * Y3^-1 * Y1 * Y2 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-3, Y1^-1 * Y2^6, Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^7 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 8, 50, 25, 67, 39, 81, 13, 55, 5, 47)(3, 45, 9, 51, 6, 48, 11, 53, 27, 69, 37, 79, 15, 57)(4, 46, 10, 52, 26, 68, 24, 66, 36, 78, 38, 80, 19, 61)(7, 49, 12, 54, 28, 70, 40, 82, 18, 60, 32, 74, 20, 62)(14, 56, 29, 71, 21, 63, 33, 75, 23, 65, 35, 77, 42, 84)(16, 58, 30, 72, 22, 64, 34, 76, 41, 83, 17, 59, 31, 73)(85, 127, 87, 129, 97, 139, 121, 163, 109, 151, 95, 137, 86, 128, 93, 135, 89, 131, 99, 141, 123, 165, 111, 153, 92, 134, 90, 132)(88, 130, 101, 143, 122, 164, 118, 160, 108, 150, 114, 156, 94, 136, 115, 157, 103, 145, 125, 167, 120, 162, 106, 148, 110, 152, 100, 142)(91, 133, 105, 147, 116, 158, 98, 140, 124, 166, 119, 161, 96, 138, 117, 159, 104, 146, 113, 155, 102, 144, 126, 168, 112, 154, 107, 149)
	L = (1, 88)(2, 94)(3, 98)(4, 102)(5, 103)(6, 105)(7, 85)(8, 110)(9, 113)(10, 116)(11, 117)(12, 86)(13, 122)(14, 125)(15, 126)(16, 87)(17, 121)(18, 123)(19, 124)(20, 89)(21, 115)(22, 90)(23, 114)(24, 91)(25, 108)(26, 104)(27, 107)(28, 92)(29, 101)(30, 93)(31, 99)(32, 97)(33, 100)(34, 95)(35, 106)(36, 96)(37, 119)(38, 112)(39, 120)(40, 109)(41, 111)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 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 E21.705
Graph:: bipartite
	v = 9 e = 84 f = 35
	degree seq :: [ 14^6, 28^3 ]

E21.709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-3 * Y3^3, Y2^-1 * Y3^2 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^-6, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 14, 56)(5, 47, 9, 51)(6, 48, 19, 61)(8, 50, 24, 66)(10, 52, 29, 71)(11, 53, 21, 63)(12, 54, 25, 67)(13, 55, 26, 68)(15, 57, 22, 64)(16, 58, 23, 65)(17, 59, 27, 69)(18, 60, 30, 72)(20, 62, 28, 70)(31, 73, 37, 79)(32, 74, 39, 81)(33, 75, 38, 80)(34, 76, 40, 82)(35, 77, 42, 84)(36, 78, 41, 83)(85, 127, 87, 129, 95, 137, 115, 157, 118, 160, 101, 143, 89, 131)(86, 128, 91, 133, 105, 147, 121, 163, 124, 166, 111, 153, 93, 135)(88, 130, 96, 138, 116, 158, 120, 162, 104, 146, 113, 155, 100, 142)(90, 132, 97, 139, 108, 150, 99, 141, 117, 159, 119, 161, 102, 144)(92, 134, 106, 148, 122, 164, 126, 168, 114, 156, 103, 145, 110, 152)(94, 136, 107, 149, 98, 140, 109, 151, 123, 165, 125, 167, 112, 154)
	L = (1, 88)(2, 92)(3, 96)(4, 99)(5, 100)(6, 85)(7, 106)(8, 109)(9, 110)(10, 86)(11, 116)(12, 117)(13, 87)(14, 105)(15, 115)(16, 108)(17, 113)(18, 89)(19, 107)(20, 90)(21, 122)(22, 123)(23, 91)(24, 95)(25, 121)(26, 98)(27, 103)(28, 93)(29, 97)(30, 94)(31, 120)(32, 119)(33, 118)(34, 104)(35, 101)(36, 102)(37, 126)(38, 125)(39, 124)(40, 114)(41, 111)(42, 112)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.710
Graph:: simple bipartite
	v = 27 e = 84 f = 17
	degree seq :: [ 4^21, 14^6 ]

E21.710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 14})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-7 * Y3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 10, 52, 7, 49)(4, 46, 13, 55, 8, 50)(6, 48, 15, 57, 9, 51)(11, 53, 17, 59, 21, 63)(12, 54, 18, 60, 22, 64)(14, 56, 19, 61, 25, 67)(16, 58, 20, 62, 27, 69)(23, 65, 33, 75, 29, 71)(24, 66, 34, 76, 30, 72)(26, 68, 37, 79, 31, 73)(28, 70, 38, 80, 32, 74)(35, 77, 39, 81, 41, 83)(36, 78, 40, 82, 42, 84)(85, 127, 87, 129, 95, 137, 107, 149, 119, 161, 110, 152, 98, 140, 88, 130, 96, 138, 108, 150, 120, 162, 112, 154, 100, 142, 90, 132)(86, 128, 91, 133, 101, 143, 113, 155, 123, 165, 115, 157, 103, 145, 92, 134, 102, 144, 114, 156, 124, 166, 116, 158, 104, 146, 93, 135)(89, 131, 94, 136, 105, 147, 117, 159, 125, 167, 121, 163, 109, 151, 97, 139, 106, 148, 118, 160, 126, 168, 122, 164, 111, 153, 99, 141)
	L = (1, 88)(2, 92)(3, 96)(4, 85)(5, 97)(6, 98)(7, 102)(8, 86)(9, 103)(10, 106)(11, 108)(12, 87)(13, 89)(14, 90)(15, 109)(16, 110)(17, 114)(18, 91)(19, 93)(20, 115)(21, 118)(22, 94)(23, 120)(24, 95)(25, 99)(26, 100)(27, 121)(28, 119)(29, 124)(30, 101)(31, 104)(32, 123)(33, 126)(34, 105)(35, 112)(36, 107)(37, 111)(38, 125)(39, 116)(40, 113)(41, 122)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.709
Graph:: bipartite
	v = 17 e = 84 f = 27
	degree seq :: [ 6^14, 28^3 ]

E21.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3, (Y2 * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 12, 54)(5, 47, 9, 51)(6, 48, 13, 55)(8, 50, 15, 57)(10, 52, 16, 58)(11, 53, 17, 59)(14, 56, 21, 63)(18, 60, 25, 67)(19, 61, 26, 68)(20, 62, 27, 69)(22, 64, 28, 70)(23, 65, 29, 71)(24, 66, 30, 72)(31, 73, 37, 79)(32, 74, 38, 80)(33, 75, 39, 81)(34, 76, 40, 82)(35, 77, 41, 83)(36, 78, 42, 84)(85, 127, 87, 129, 89, 131)(86, 128, 91, 133, 93, 135)(88, 130, 95, 137, 90, 132)(92, 134, 98, 140, 94, 136)(96, 138, 101, 143, 97, 139)(99, 141, 105, 147, 100, 142)(102, 144, 104, 146, 103, 145)(106, 148, 108, 150, 107, 149)(109, 151, 111, 153, 110, 152)(112, 154, 114, 156, 113, 155)(115, 157, 117, 159, 116, 158)(118, 160, 120, 162, 119, 161)(121, 163, 123, 165, 122, 164)(124, 166, 126, 168, 125, 167)
	L = (1, 88)(2, 92)(3, 95)(4, 87)(5, 90)(6, 85)(7, 98)(8, 91)(9, 94)(10, 86)(11, 89)(12, 102)(13, 103)(14, 93)(15, 106)(16, 107)(17, 104)(18, 101)(19, 96)(20, 97)(21, 108)(22, 105)(23, 99)(24, 100)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 111)(32, 109)(33, 110)(34, 114)(35, 112)(36, 113)(37, 125)(38, 126)(39, 124)(40, 122)(41, 123)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 42, 12, 42 ), ( 12, 42, 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E21.714
Graph:: simple bipartite
	v = 35 e = 84 f = 9
	degree seq :: [ 4^21, 6^14 ]

E21.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2 * Y1 * Y2, Y1^3, (Y2^-1 * Y1)^2, (R * Y3^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, R * Y2^-1 * R * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * R * Y2^-1 * R * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 6, 48, 9, 51)(4, 46, 8, 50, 7, 49)(10, 52, 14, 56, 11, 53)(12, 54, 13, 55, 15, 57)(16, 58, 17, 59, 18, 60)(19, 61, 21, 63, 20, 62)(22, 64, 24, 66, 23, 65)(25, 67, 26, 68, 27, 69)(28, 70, 29, 71, 30, 72)(31, 73, 33, 75, 32, 74)(34, 76, 36, 78, 35, 77)(37, 79, 38, 80, 39, 81)(40, 82, 41, 83, 42, 84)(85, 127, 87, 129, 89, 131, 93, 135, 86, 128, 90, 132)(88, 130, 96, 138, 91, 133, 99, 141, 92, 134, 97, 139)(94, 136, 100, 142, 95, 137, 102, 144, 98, 140, 101, 143)(103, 145, 109, 151, 104, 146, 111, 153, 105, 147, 110, 152)(106, 148, 112, 154, 107, 149, 114, 156, 108, 150, 113, 155)(115, 157, 121, 163, 116, 158, 123, 165, 117, 159, 122, 164)(118, 160, 124, 166, 119, 161, 126, 168, 120, 162, 125, 167)
	L = (1, 88)(2, 92)(3, 94)(4, 86)(5, 91)(6, 98)(7, 85)(8, 89)(9, 95)(10, 90)(11, 87)(12, 103)(13, 105)(14, 93)(15, 104)(16, 106)(17, 108)(18, 107)(19, 97)(20, 96)(21, 99)(22, 101)(23, 100)(24, 102)(25, 115)(26, 117)(27, 116)(28, 118)(29, 120)(30, 119)(31, 110)(32, 109)(33, 111)(34, 113)(35, 112)(36, 114)(37, 125)(38, 126)(39, 124)(40, 121)(41, 122)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E21.713
Graph:: bipartite
	v = 21 e = 84 f = 23
	degree seq :: [ 6^14, 12^7 ]

E21.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2, Y3^-3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^2 * Y2 * Y1^-1 * Y3 * Y1^4, Y1^3 * Y3 * Y1^-4 * Y2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 29, 71, 36, 78, 25, 67, 12, 54, 21, 63, 33, 75, 41, 83, 42, 84, 37, 79, 24, 66, 13, 55, 22, 64, 34, 76, 40, 82, 28, 70, 16, 58, 5, 47)(3, 45, 11, 53, 23, 65, 35, 77, 31, 73, 18, 60, 10, 52, 4, 46, 14, 56, 26, 68, 38, 80, 32, 74, 19, 61, 8, 50, 6, 48, 15, 57, 27, 69, 39, 81, 30, 72, 20, 62, 9, 51)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 96, 138)(89, 131, 98, 140)(90, 132, 97, 139)(91, 133, 102, 144)(93, 135, 105, 147)(94, 136, 106, 148)(95, 137, 108, 150)(99, 141, 109, 151)(100, 142, 111, 153)(101, 143, 114, 156)(103, 145, 117, 159)(104, 146, 118, 160)(107, 149, 120, 162)(110, 152, 121, 163)(112, 154, 119, 161)(113, 155, 122, 164)(115, 157, 125, 167)(116, 158, 124, 166)(123, 165, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 97)(5, 99)(6, 85)(7, 103)(8, 105)(9, 106)(10, 86)(11, 89)(12, 90)(13, 87)(14, 109)(15, 108)(16, 107)(17, 115)(18, 117)(19, 118)(20, 91)(21, 94)(22, 92)(23, 121)(24, 98)(25, 95)(26, 100)(27, 120)(28, 122)(29, 123)(30, 125)(31, 124)(32, 101)(33, 104)(34, 102)(35, 113)(36, 110)(37, 111)(38, 126)(39, 112)(40, 114)(41, 116)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.712
Graph:: bipartite
	v = 23 e = 84 f = 21
	degree seq :: [ 4^21, 42^2 ]

E21.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^3 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2 * Y1 * Y2)^2, R * Y2^-1 * R * Y1^-2 * Y2, Y2^-2 * Y1^-2 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 6, 48, 16, 58, 12, 54, 4, 46)(3, 45, 9, 51, 17, 59, 13, 55, 21, 63, 8, 50)(5, 47, 11, 53, 18, 60, 7, 49, 19, 61, 14, 56)(10, 52, 24, 66, 29, 71, 22, 64, 33, 75, 23, 65)(15, 57, 27, 69, 30, 72, 26, 68, 31, 73, 20, 62)(25, 67, 34, 76, 40, 82, 35, 77, 42, 84, 36, 78)(28, 70, 32, 74, 41, 83, 39, 81, 37, 79, 38, 80)(85, 127, 87, 129, 94, 136, 109, 151, 121, 163, 115, 157, 103, 145, 96, 138, 105, 147, 117, 159, 126, 168, 125, 167, 114, 156, 102, 144, 90, 132, 101, 143, 113, 155, 124, 166, 112, 154, 99, 141, 89, 131)(86, 128, 91, 133, 104, 146, 116, 158, 120, 162, 108, 150, 97, 139, 88, 130, 95, 137, 110, 152, 122, 164, 119, 161, 107, 149, 93, 135, 100, 142, 98, 140, 111, 153, 123, 165, 118, 160, 106, 148, 92, 134)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 95)(6, 100)(7, 103)(8, 87)(9, 101)(10, 108)(11, 102)(12, 88)(13, 105)(14, 89)(15, 111)(16, 96)(17, 97)(18, 91)(19, 98)(20, 99)(21, 92)(22, 117)(23, 94)(24, 113)(25, 118)(26, 115)(27, 114)(28, 116)(29, 106)(30, 110)(31, 104)(32, 125)(33, 107)(34, 124)(35, 126)(36, 109)(37, 122)(38, 112)(39, 121)(40, 119)(41, 123)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E21.711
Graph:: bipartite
	v = 9 e = 84 f = 35
	degree seq :: [ 12^7, 42^2 ]

E21.715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2^6, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y3^2 * Y1 * Y3^-2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^21 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 9, 51)(5, 47, 11, 53)(6, 48, 13, 55)(8, 50, 12, 54)(10, 52, 14, 56)(15, 57, 23, 65)(16, 58, 25, 67)(17, 59, 24, 66)(18, 60, 26, 68)(19, 61, 27, 69)(20, 62, 29, 71)(21, 63, 28, 70)(22, 64, 30, 72)(31, 73, 37, 79)(32, 74, 38, 80)(33, 75, 39, 81)(34, 76, 40, 82)(35, 77, 41, 83)(36, 78, 42, 84)(85, 127, 87, 129, 92, 134, 101, 143, 94, 136, 88, 130)(86, 128, 89, 131, 96, 138, 105, 147, 98, 140, 90, 132)(91, 133, 99, 141, 108, 150, 102, 144, 93, 135, 100, 142)(95, 137, 103, 145, 112, 154, 106, 148, 97, 139, 104, 146)(107, 149, 115, 157, 110, 152, 117, 159, 109, 151, 116, 158)(111, 153, 118, 160, 114, 156, 120, 162, 113, 155, 119, 161)(121, 163, 125, 167, 123, 165, 124, 166, 122, 164, 126, 168)
	L = (1, 88)(2, 90)(3, 85)(4, 94)(5, 86)(6, 98)(7, 100)(8, 87)(9, 102)(10, 101)(11, 104)(12, 89)(13, 106)(14, 105)(15, 91)(16, 93)(17, 92)(18, 108)(19, 95)(20, 97)(21, 96)(22, 112)(23, 116)(24, 99)(25, 117)(26, 115)(27, 119)(28, 103)(29, 120)(30, 118)(31, 107)(32, 109)(33, 110)(34, 111)(35, 113)(36, 114)(37, 126)(38, 124)(39, 125)(40, 123)(41, 121)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 6, 42, 6, 42 ), ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E21.716
Graph:: bipartite
	v = 28 e = 84 f = 16
	degree seq :: [ 4^21, 12^7 ]

E21.716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 21})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y1, (Y2^-1, Y1), (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1, R * Y2 * Y1 * R * Y2^-1, Y2^7 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 13, 55)(4, 46, 9, 51, 7, 49)(6, 48, 10, 52, 17, 59)(11, 53, 21, 63, 25, 67)(12, 54, 16, 58, 14, 56)(15, 57, 18, 60, 20, 62)(19, 61, 22, 64, 29, 71)(23, 65, 33, 75, 36, 78)(24, 66, 27, 69, 26, 68)(28, 70, 30, 72, 31, 73)(32, 74, 34, 76, 40, 82)(35, 77, 38, 80, 37, 79)(39, 81, 41, 83, 42, 84)(85, 127, 87, 129, 95, 137, 107, 149, 118, 160, 106, 148, 94, 136, 86, 128, 92, 134, 105, 147, 117, 159, 124, 166, 113, 155, 101, 143, 89, 131, 97, 139, 109, 151, 120, 162, 116, 158, 103, 145, 90, 132)(88, 130, 99, 141, 112, 154, 123, 165, 122, 164, 108, 150, 98, 140, 93, 135, 102, 144, 114, 156, 125, 167, 121, 163, 111, 153, 96, 138, 91, 133, 104, 146, 115, 157, 126, 168, 119, 161, 110, 152, 100, 142)
	L = (1, 88)(2, 93)(3, 96)(4, 86)(5, 91)(6, 102)(7, 85)(8, 100)(9, 89)(10, 104)(11, 108)(12, 92)(13, 98)(14, 87)(15, 90)(16, 97)(17, 99)(18, 94)(19, 115)(20, 101)(21, 111)(22, 112)(23, 119)(24, 105)(25, 110)(26, 95)(27, 109)(28, 113)(29, 114)(30, 103)(31, 106)(32, 123)(33, 122)(34, 125)(35, 117)(36, 121)(37, 107)(38, 120)(39, 118)(40, 126)(41, 124)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E21.715
Graph:: bipartite
	v = 16 e = 84 f = 28
	degree seq :: [ 6^14, 42^2 ]

E21.717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^21 * Y1, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44)(3, 45, 5, 47)(4, 46, 6, 48)(7, 49, 9, 51)(8, 50, 10, 52)(11, 53, 13, 55)(12, 54, 14, 56)(15, 57, 17, 59)(16, 58, 18, 60)(19, 61, 21, 63)(20, 62, 22, 64)(23, 65, 25, 67)(24, 66, 26, 68)(27, 69, 29, 71)(28, 70, 30, 72)(31, 73, 33, 75)(32, 74, 34, 76)(35, 77, 37, 79)(36, 78, 38, 80)(39, 81, 41, 83)(40, 82, 42, 84)(85, 127, 87, 129, 91, 133, 95, 137, 99, 141, 103, 145, 107, 149, 111, 153, 115, 157, 119, 161, 123, 165, 126, 168, 122, 164, 118, 160, 114, 156, 110, 152, 106, 148, 102, 144, 98, 140, 94, 136, 90, 132, 86, 128, 89, 131, 93, 135, 97, 139, 101, 143, 105, 147, 109, 151, 113, 155, 117, 159, 121, 163, 125, 167, 124, 166, 120, 162, 116, 158, 112, 154, 108, 150, 104, 146, 100, 142, 96, 138, 92, 134, 88, 130)
	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) :: { ( 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 22 e = 84 f = 22
	degree seq :: [ 4^21, 84 ]

E21.718 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^21, (T2^-1 * T1^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(44, 45, 46, 49, 50, 53, 54, 57, 58, 61, 62, 65, 66, 69, 70, 73, 74, 77, 78, 81, 82, 85, 86, 84, 83, 80, 79, 76, 75, 72, 71, 68, 67, 64, 63, 60, 59, 56, 55, 52, 51, 48, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.741
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.719 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T2^-21 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 43, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(44, 45, 48, 49, 52, 53, 56, 57, 60, 61, 64, 65, 68, 69, 72, 73, 76, 77, 80, 81, 84, 85, 86, 82, 83, 78, 79, 74, 75, 70, 71, 66, 67, 62, 63, 58, 59, 54, 55, 50, 51, 46, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.738
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.720 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^14, (T2^-1 * T1^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 43, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 41, 35, 29, 23, 17, 11, 5)(44, 45, 49, 46, 50, 55, 52, 56, 61, 58, 62, 67, 64, 68, 73, 70, 74, 79, 76, 80, 85, 82, 84, 86, 83, 78, 81, 77, 72, 75, 71, 66, 69, 65, 60, 63, 59, 54, 57, 53, 48, 51, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.743
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.721 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T1 * T2^-14 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 41, 35, 29, 23, 17, 11, 5)(44, 45, 49, 48, 51, 55, 54, 57, 61, 60, 63, 67, 66, 69, 73, 72, 75, 79, 78, 81, 85, 84, 82, 86, 83, 76, 80, 77, 70, 74, 71, 64, 68, 65, 58, 62, 59, 52, 56, 53, 46, 50, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.739
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.722 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^2 * T2^-1 * T1^2, T2^10 * T1^-1 * T2, T2 * T1 * T2^4 * T1 * T2^5 * T1, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 42, 35, 27, 19, 11, 6, 14, 22, 30, 38, 43, 36, 28, 20, 12, 4, 10, 18, 26, 34, 41, 37, 29, 21, 13, 5)(44, 45, 49, 53, 46, 50, 57, 61, 52, 58, 65, 69, 60, 66, 73, 77, 68, 74, 81, 84, 76, 82, 86, 80, 83, 85, 79, 72, 75, 78, 71, 64, 67, 70, 63, 56, 59, 62, 55, 48, 51, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.745
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.723 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^-2 * T2^-1 * T1^-2, T2^-10 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 36, 28, 20, 12, 4, 10, 18, 26, 34, 42, 38, 30, 22, 14, 6, 11, 19, 27, 35, 43, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 37, 29, 21, 13, 5)(44, 45, 49, 55, 48, 51, 57, 63, 56, 59, 65, 71, 64, 67, 73, 79, 72, 75, 81, 84, 80, 83, 85, 76, 82, 86, 77, 68, 74, 78, 69, 60, 66, 70, 61, 52, 58, 62, 53, 46, 50, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.740
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.724 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 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^-4 * T1 * T2^2, T2^-4 * T1 * T2^-5 * T1, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 36, 26, 16, 6, 15, 25, 35, 42, 32, 22, 12, 4, 10, 20, 30, 40, 38, 28, 18, 8, 2, 7, 17, 27, 37, 41, 31, 21, 11, 14, 24, 34, 43, 33, 23, 13, 5)(44, 45, 49, 57, 53, 46, 50, 58, 67, 63, 52, 60, 68, 77, 73, 62, 70, 78, 86, 83, 72, 80, 85, 76, 81, 82, 84, 75, 66, 71, 79, 74, 65, 56, 61, 69, 64, 55, 48, 51, 59, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.747
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.725 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T1^-1 * T2^3 * T1 * T2^-3, T2^4 * T1 * T2^5 * 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 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 34, 24, 14, 11, 21, 31, 41, 38, 28, 18, 8, 2, 7, 17, 27, 37, 42, 32, 22, 12, 4, 10, 20, 30, 40, 36, 26, 16, 6, 15, 25, 35, 43, 33, 23, 13, 5)(44, 45, 49, 57, 55, 48, 51, 59, 67, 65, 56, 61, 69, 77, 75, 66, 71, 79, 82, 85, 76, 81, 83, 72, 80, 86, 84, 73, 62, 70, 78, 74, 63, 52, 60, 68, 64, 53, 46, 50, 58, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.742
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.726 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-5, T2 * T1 * T2^6, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 24, 12, 4, 10, 20, 32, 39, 35, 23, 11, 21, 33, 40, 43, 41, 34, 22, 14, 26, 36, 42, 38, 28, 16, 6, 15, 27, 37, 30, 18, 8, 2, 7, 17, 29, 25, 13, 5)(44, 45, 49, 57, 64, 53, 46, 50, 58, 69, 76, 63, 52, 60, 70, 79, 83, 75, 62, 72, 80, 85, 86, 82, 74, 68, 73, 81, 84, 78, 67, 56, 61, 71, 77, 66, 55, 48, 51, 59, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.746
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.727 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T2^-7 * T1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 18, 8, 2, 7, 17, 29, 38, 28, 16, 6, 15, 27, 37, 42, 36, 26, 14, 22, 33, 40, 43, 41, 34, 23, 11, 21, 32, 39, 35, 24, 12, 4, 10, 20, 31, 25, 13, 5)(44, 45, 49, 57, 66, 55, 48, 51, 59, 69, 77, 67, 56, 61, 71, 79, 84, 78, 68, 73, 81, 85, 86, 82, 74, 62, 72, 80, 83, 75, 63, 52, 60, 70, 76, 64, 53, 46, 50, 58, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.744
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.728 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-4 * T1^-1, T1^2 * T2^-1 * T1^6, T1^2 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3, T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 43, 40, 30, 16, 6, 15, 29, 24, 12, 4, 10, 20, 34, 41, 37, 26, 38, 32, 18, 8, 2, 7, 17, 31, 23, 11, 21, 35, 42, 39, 28, 14, 27, 25, 13, 5)(44, 45, 49, 57, 69, 79, 64, 53, 46, 50, 58, 70, 81, 86, 78, 63, 52, 60, 72, 68, 75, 83, 85, 77, 62, 74, 67, 56, 61, 73, 82, 84, 76, 66, 55, 48, 51, 59, 71, 80, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.751
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.729 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-3 * T1 * T2^-1 * T1^2 * T2^-1, T1^4 * T2 * T1^4, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 39, 43, 36, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 38, 26, 34, 41, 37, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 40, 42, 35, 22, 33, 25, 13, 5)(44, 45, 49, 57, 69, 78, 66, 55, 48, 51, 59, 71, 81, 85, 79, 67, 56, 61, 73, 62, 74, 83, 86, 80, 68, 75, 63, 52, 60, 72, 82, 84, 76, 64, 53, 46, 50, 58, 70, 77, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.748
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.730 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^3, T1^6 * T2^-1 * T1^3, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 40, 38, 26, 37, 42, 33, 22, 31, 35, 24, 12, 4, 10, 20, 18, 8, 2, 7, 17, 30, 28, 14, 27, 39, 41, 32, 36, 43, 34, 23, 11, 21, 25, 13, 5)(44, 45, 49, 57, 69, 79, 74, 64, 53, 46, 50, 58, 70, 80, 86, 78, 68, 63, 52, 60, 72, 82, 85, 77, 67, 56, 61, 62, 73, 83, 84, 76, 66, 55, 48, 51, 59, 71, 81, 75, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.752
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.731 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1^-4 * T2^-1 * T1^-5, T1^3 * T2^-1 * T1^3 * 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^-3 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 41, 36, 34, 43, 39, 28, 14, 27, 30, 18, 8, 2, 7, 17, 24, 12, 4, 10, 20, 31, 35, 22, 33, 42, 38, 26, 37, 40, 29, 16, 6, 15, 25, 13, 5)(44, 45, 49, 57, 69, 79, 78, 66, 55, 48, 51, 59, 71, 81, 84, 74, 62, 67, 56, 61, 72, 82, 85, 75, 63, 52, 60, 68, 73, 83, 86, 76, 64, 53, 46, 50, 58, 70, 80, 77, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.749
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.732 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2 * T1^-2 * T2^-1, T2^3 * T1^3 * T2, T1^-1 * T2 * T1^-9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 42, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 43, 36, 27, 14, 25, 13, 5)(44, 45, 49, 57, 69, 77, 83, 75, 64, 53, 46, 50, 58, 68, 72, 80, 86, 82, 74, 63, 52, 60, 67, 56, 61, 71, 79, 85, 81, 73, 62, 66, 55, 48, 51, 59, 70, 78, 84, 76, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.754
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^2 * T2^-3 * T1, T1^-6 * T2^-1 * T1^-4, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 43, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 42, 40, 31, 22, 25, 13, 5)(44, 45, 49, 57, 69, 77, 82, 74, 66, 55, 48, 51, 59, 62, 72, 80, 86, 83, 75, 67, 56, 61, 63, 52, 60, 71, 79, 85, 84, 76, 68, 64, 53, 46, 50, 58, 70, 78, 81, 73, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.750
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.734 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T1^-5 * T2^4, T2^3 * T1 * T2^4 * T1, T2^-43, T2^43, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 39, 23, 11, 21, 35, 28, 14, 27, 43, 37, 32, 18, 8, 2, 7, 17, 31, 40, 24, 12, 4, 10, 20, 34, 26, 42, 38, 22, 36, 30, 16, 6, 15, 29, 41, 25, 13, 5)(44, 45, 49, 57, 69, 76, 83, 68, 75, 79, 64, 53, 46, 50, 58, 70, 85, 82, 67, 56, 61, 73, 78, 63, 52, 60, 72, 86, 81, 66, 55, 48, 51, 59, 71, 77, 62, 74, 84, 80, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.755
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.735 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1^-1 * T2^-3 * T1 * T2^2, T2^-4 * T1^-5, T2^-3 * T1 * T2^-4 * T1, T2^43, T2^43, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 30, 16, 6, 15, 29, 38, 22, 36, 42, 26, 40, 24, 12, 4, 10, 20, 34, 32, 18, 8, 2, 7, 17, 31, 37, 43, 28, 14, 27, 39, 23, 11, 21, 35, 41, 25, 13, 5)(44, 45, 49, 57, 69, 84, 77, 62, 74, 81, 66, 55, 48, 51, 59, 71, 85, 78, 63, 52, 60, 72, 82, 67, 56, 61, 73, 86, 79, 64, 53, 46, 50, 58, 70, 83, 68, 75, 76, 80, 65, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.753
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.736 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^2 * T1^-1, T1^7 * T2 * T1 * T2 * T1^5, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(44, 45, 49, 57, 63, 69, 75, 81, 86, 80, 74, 68, 62, 56, 53, 46, 50, 58, 64, 70, 76, 82, 85, 79, 73, 67, 61, 55, 48, 51, 52, 59, 65, 71, 77, 83, 84, 78, 72, 66, 60, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.757
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.737 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {43, 43, 43})
Quotient :: edge
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^-1 * T1^-1 * T2^-2 * T1^-1, T1^12 * T2^-1 * T1 * T2^-1, T1^-1 * T2^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 38, 40, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(44, 45, 49, 57, 63, 69, 75, 81, 84, 78, 72, 66, 60, 52, 55, 48, 51, 58, 64, 70, 76, 82, 85, 79, 73, 67, 61, 53, 46, 50, 56, 59, 65, 71, 77, 83, 86, 80, 74, 68, 62, 54, 47)
	L = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.756
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.738 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T1)^2, (F * T2)^2, T2^43, T1^43, (T2^-1 * T1^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 2, 45, 6, 49, 14, 57, 26, 69, 34, 77, 40, 83, 32, 75, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 25, 68, 29, 72, 37, 80, 43, 86, 39, 82, 31, 74, 20, 63, 9, 52, 17, 60, 24, 67, 13, 56, 18, 61, 28, 71, 36, 79, 42, 85, 38, 81, 30, 73, 19, 62, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 27, 70, 35, 78, 41, 84, 33, 76, 22, 65, 11, 54, 4, 47)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 68)(16, 70)(17, 67)(18, 71)(19, 66)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 72)(26, 77)(27, 78)(28, 79)(29, 80)(30, 62)(31, 63)(32, 64)(33, 65)(34, 83)(35, 84)(36, 85)(37, 86)(38, 73)(39, 74)(40, 75)(41, 76)(42, 81)(43, 82)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.719
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.739 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^21, (T2^-1 * T1^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 7, 50, 11, 54, 15, 58, 19, 62, 23, 66, 27, 70, 31, 74, 35, 78, 39, 82, 43, 86, 40, 83, 36, 79, 32, 75, 28, 71, 24, 67, 20, 63, 16, 59, 12, 55, 8, 51, 4, 47, 2, 45, 6, 49, 10, 53, 14, 57, 18, 61, 22, 65, 26, 69, 30, 73, 34, 77, 38, 81, 42, 85, 41, 84, 37, 80, 33, 76, 29, 72, 25, 68, 21, 64, 17, 60, 13, 56, 9, 52, 5, 48)
	L = (1, 45)(2, 46)(3, 49)(4, 44)(5, 47)(6, 50)(7, 53)(8, 48)(9, 51)(10, 54)(11, 57)(12, 52)(13, 55)(14, 58)(15, 61)(16, 56)(17, 59)(18, 62)(19, 65)(20, 60)(21, 63)(22, 66)(23, 69)(24, 64)(25, 67)(26, 70)(27, 73)(28, 68)(29, 71)(30, 74)(31, 77)(32, 72)(33, 75)(34, 78)(35, 81)(36, 76)(37, 79)(38, 82)(39, 85)(40, 80)(41, 83)(42, 86)(43, 84)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.721
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.740 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^14, (T2^-1 * T1^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 15, 58, 21, 64, 27, 70, 33, 76, 39, 82, 40, 83, 34, 77, 28, 71, 22, 65, 16, 59, 10, 53, 4, 47, 6, 49, 12, 55, 18, 61, 24, 67, 30, 73, 36, 79, 42, 85, 43, 86, 38, 81, 32, 75, 26, 69, 20, 63, 14, 57, 8, 51, 2, 45, 7, 50, 13, 56, 19, 62, 25, 68, 31, 74, 37, 80, 41, 84, 35, 78, 29, 72, 23, 66, 17, 60, 11, 54, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 46)(7, 55)(8, 47)(9, 56)(10, 48)(11, 57)(12, 52)(13, 61)(14, 53)(15, 62)(16, 54)(17, 63)(18, 58)(19, 67)(20, 59)(21, 68)(22, 60)(23, 69)(24, 64)(25, 73)(26, 65)(27, 74)(28, 66)(29, 75)(30, 70)(31, 79)(32, 71)(33, 80)(34, 72)(35, 81)(36, 76)(37, 85)(38, 77)(39, 84)(40, 78)(41, 86)(42, 82)(43, 83)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.723
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.741 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T1 * T2^-14 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 15, 58, 21, 64, 27, 70, 33, 76, 39, 82, 38, 81, 32, 75, 26, 69, 20, 63, 14, 57, 8, 51, 2, 45, 7, 50, 13, 56, 19, 62, 25, 68, 31, 74, 37, 80, 43, 86, 42, 85, 36, 79, 30, 73, 24, 67, 18, 61, 12, 55, 6, 49, 4, 47, 10, 53, 16, 59, 22, 65, 28, 71, 34, 77, 40, 83, 41, 84, 35, 78, 29, 72, 23, 66, 17, 60, 11, 54, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 48)(7, 47)(8, 55)(9, 56)(10, 46)(11, 57)(12, 54)(13, 53)(14, 61)(15, 62)(16, 52)(17, 63)(18, 60)(19, 59)(20, 67)(21, 68)(22, 58)(23, 69)(24, 66)(25, 65)(26, 73)(27, 74)(28, 64)(29, 75)(30, 72)(31, 71)(32, 79)(33, 80)(34, 70)(35, 81)(36, 78)(37, 77)(38, 85)(39, 86)(40, 76)(41, 82)(42, 84)(43, 83)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.718
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.742 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^2 * T2^-1 * T1^2, T2^10 * T1^-1 * T2, T2 * T1 * T2^4 * T1 * T2^5 * T1, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 17, 60, 25, 68, 33, 76, 40, 83, 32, 75, 24, 67, 16, 59, 8, 51, 2, 45, 7, 50, 15, 58, 23, 66, 31, 74, 39, 82, 42, 85, 35, 78, 27, 70, 19, 62, 11, 54, 6, 49, 14, 57, 22, 65, 30, 73, 38, 81, 43, 86, 36, 79, 28, 71, 20, 63, 12, 55, 4, 47, 10, 53, 18, 61, 26, 69, 34, 77, 41, 84, 37, 80, 29, 72, 21, 64, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 53)(7, 57)(8, 54)(9, 58)(10, 46)(11, 47)(12, 48)(13, 59)(14, 61)(15, 65)(16, 62)(17, 66)(18, 52)(19, 55)(20, 56)(21, 67)(22, 69)(23, 73)(24, 70)(25, 74)(26, 60)(27, 63)(28, 64)(29, 75)(30, 77)(31, 81)(32, 78)(33, 82)(34, 68)(35, 71)(36, 72)(37, 83)(38, 84)(39, 86)(40, 85)(41, 76)(42, 79)(43, 80)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.725
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.743 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^-2 * T2^-1 * T1^-2, T2^-10 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 17, 60, 25, 68, 33, 76, 41, 84, 36, 79, 28, 71, 20, 63, 12, 55, 4, 47, 10, 53, 18, 61, 26, 69, 34, 77, 42, 85, 38, 81, 30, 73, 22, 65, 14, 57, 6, 49, 11, 54, 19, 62, 27, 70, 35, 78, 43, 86, 40, 83, 32, 75, 24, 67, 16, 59, 8, 51, 2, 45, 7, 50, 15, 58, 23, 66, 31, 74, 39, 82, 37, 80, 29, 72, 21, 64, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 55)(7, 54)(8, 57)(9, 58)(10, 46)(11, 47)(12, 48)(13, 59)(14, 63)(15, 62)(16, 65)(17, 66)(18, 52)(19, 53)(20, 56)(21, 67)(22, 71)(23, 70)(24, 73)(25, 74)(26, 60)(27, 61)(28, 64)(29, 75)(30, 79)(31, 78)(32, 81)(33, 82)(34, 68)(35, 69)(36, 72)(37, 83)(38, 84)(39, 86)(40, 85)(41, 80)(42, 76)(43, 77)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.720
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.744 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 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^-4 * T1 * T2^2, T2^-4 * T1 * T2^-5 * T1, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 29, 72, 39, 82, 36, 79, 26, 69, 16, 59, 6, 49, 15, 58, 25, 68, 35, 78, 42, 85, 32, 75, 22, 65, 12, 55, 4, 47, 10, 53, 20, 63, 30, 73, 40, 83, 38, 81, 28, 71, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 27, 70, 37, 80, 41, 84, 31, 74, 21, 64, 11, 54, 14, 57, 24, 67, 34, 77, 43, 86, 33, 76, 23, 66, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 53)(15, 67)(16, 54)(17, 68)(18, 69)(19, 70)(20, 52)(21, 55)(22, 56)(23, 71)(24, 63)(25, 77)(26, 64)(27, 78)(28, 79)(29, 80)(30, 62)(31, 65)(32, 66)(33, 81)(34, 73)(35, 86)(36, 74)(37, 85)(38, 82)(39, 84)(40, 72)(41, 75)(42, 76)(43, 83)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.727
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.745 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T1^-1 * T2^3 * T1 * T2^-3, T2^4 * T1 * T2^5 * 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 * T1^2 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 29, 72, 39, 82, 34, 77, 24, 67, 14, 57, 11, 54, 21, 64, 31, 74, 41, 84, 38, 81, 28, 71, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 27, 70, 37, 80, 42, 85, 32, 75, 22, 65, 12, 55, 4, 47, 10, 53, 20, 63, 30, 73, 40, 83, 36, 79, 26, 69, 16, 59, 6, 49, 15, 58, 25, 68, 35, 78, 43, 86, 33, 76, 23, 66, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 55)(15, 54)(16, 67)(17, 68)(18, 69)(19, 70)(20, 52)(21, 53)(22, 56)(23, 71)(24, 65)(25, 64)(26, 77)(27, 78)(28, 79)(29, 80)(30, 62)(31, 63)(32, 66)(33, 81)(34, 75)(35, 74)(36, 82)(37, 86)(38, 83)(39, 85)(40, 72)(41, 73)(42, 76)(43, 84)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.722
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-5, T2 * T1 * T2^6, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 31, 74, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 32, 75, 39, 82, 35, 78, 23, 66, 11, 54, 21, 64, 33, 76, 40, 83, 43, 86, 41, 84, 34, 77, 22, 65, 14, 57, 26, 69, 36, 79, 42, 85, 38, 81, 28, 71, 16, 59, 6, 49, 15, 58, 27, 70, 37, 80, 30, 73, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 29, 72, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 64)(15, 69)(16, 65)(17, 70)(18, 71)(19, 72)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 73)(26, 76)(27, 79)(28, 77)(29, 80)(30, 81)(31, 68)(32, 62)(33, 63)(34, 66)(35, 67)(36, 83)(37, 85)(38, 84)(39, 74)(40, 75)(41, 78)(42, 86)(43, 82)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.726
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.747 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T2^-7 * T1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^3 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 30, 73, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 29, 72, 38, 81, 28, 71, 16, 59, 6, 49, 15, 58, 27, 70, 37, 80, 42, 85, 36, 79, 26, 69, 14, 57, 22, 65, 33, 76, 40, 83, 43, 86, 41, 84, 34, 77, 23, 66, 11, 54, 21, 64, 32, 75, 39, 82, 35, 78, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 31, 74, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 66)(15, 65)(16, 69)(17, 70)(18, 71)(19, 72)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 73)(26, 77)(27, 76)(28, 79)(29, 80)(30, 81)(31, 62)(32, 63)(33, 64)(34, 67)(35, 68)(36, 84)(37, 83)(38, 85)(39, 74)(40, 75)(41, 78)(42, 86)(43, 82)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.724
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.748 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-3 * T2^-1 * T1^3, T1^-1 * T2 * T1^-6, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 32, 75, 35, 78, 23, 66, 11, 54, 21, 64, 33, 76, 40, 83, 41, 84, 34, 77, 22, 65, 26, 69, 36, 79, 42, 85, 43, 86, 38, 81, 28, 71, 14, 57, 27, 70, 37, 80, 39, 82, 30, 73, 16, 59, 6, 49, 15, 58, 29, 72, 31, 74, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 68)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 74)(26, 64)(27, 79)(28, 65)(29, 80)(30, 81)(31, 82)(32, 62)(33, 63)(34, 66)(35, 67)(36, 76)(37, 85)(38, 77)(39, 86)(40, 75)(41, 78)(42, 83)(43, 84)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.729
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.749 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-4 * T1^-1, T1^2 * T2^-1 * T1^6, T1^2 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3, T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^3 * T1 * T2^2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 33, 76, 22, 65, 36, 79, 43, 86, 40, 83, 30, 73, 16, 59, 6, 49, 15, 58, 29, 72, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 34, 77, 41, 84, 37, 80, 26, 69, 38, 81, 32, 75, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 31, 74, 23, 66, 11, 54, 21, 64, 35, 78, 42, 85, 39, 82, 28, 71, 14, 57, 27, 70, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 75)(26, 79)(27, 81)(28, 80)(29, 68)(30, 82)(31, 67)(32, 83)(33, 66)(34, 62)(35, 63)(36, 64)(37, 65)(38, 86)(39, 84)(40, 85)(41, 76)(42, 77)(43, 78)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.731
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.750 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^3, T1^6 * T2^-1 * T1^3, 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 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 16, 59, 6, 49, 15, 58, 29, 72, 40, 83, 38, 81, 26, 69, 37, 80, 42, 85, 33, 76, 22, 65, 31, 74, 35, 78, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 30, 73, 28, 71, 14, 57, 27, 70, 39, 82, 41, 84, 32, 75, 36, 79, 43, 86, 34, 77, 23, 66, 11, 54, 21, 64, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 70)(16, 71)(17, 72)(18, 62)(19, 73)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 63)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 64)(32, 65)(33, 66)(34, 67)(35, 68)(36, 74)(37, 86)(38, 75)(39, 85)(40, 84)(41, 76)(42, 77)(43, 78)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.733
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.751 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1^-4 * T2^-1 * T1^-5, T1^3 * T2^-1 * T1^3 * 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^-3 * T2 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 23, 66, 11, 54, 21, 64, 32, 75, 41, 84, 36, 79, 34, 77, 43, 86, 39, 82, 28, 71, 14, 57, 27, 70, 30, 73, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 31, 74, 35, 78, 22, 65, 33, 76, 42, 85, 38, 81, 26, 69, 37, 80, 40, 83, 29, 72, 16, 59, 6, 49, 15, 58, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 70)(16, 71)(17, 68)(18, 72)(19, 67)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 73)(26, 79)(27, 80)(28, 81)(29, 82)(30, 83)(31, 62)(32, 63)(33, 64)(34, 65)(35, 66)(36, 78)(37, 77)(38, 84)(39, 85)(40, 86)(41, 74)(42, 75)(43, 76)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.728
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.752 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^2 * T2^-3 * T1, T1^-6 * T2^-1 * T1^-4, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 14, 57, 27, 70, 36, 79, 43, 86, 39, 82, 30, 73, 33, 76, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 16, 59, 6, 49, 15, 58, 28, 71, 37, 80, 34, 77, 38, 81, 41, 84, 32, 75, 23, 66, 11, 54, 21, 64, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 29, 72, 26, 69, 35, 78, 42, 85, 40, 83, 31, 74, 22, 65, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 70)(16, 62)(17, 71)(18, 63)(19, 72)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 64)(26, 77)(27, 78)(28, 79)(29, 80)(30, 65)(31, 66)(32, 67)(33, 68)(34, 82)(35, 81)(36, 85)(37, 86)(38, 73)(39, 74)(40, 75)(41, 76)(42, 84)(43, 83)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.730
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.753 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^3 * T1^-1 * T2, T1^4 * T2^-1 * T1^7, (T1^-1 * T2^-1)^43 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 8, 51, 2, 45, 7, 50, 17, 60, 16, 59, 6, 49, 15, 58, 25, 68, 24, 67, 14, 57, 23, 66, 33, 76, 32, 75, 22, 65, 31, 74, 41, 84, 40, 83, 30, 73, 39, 82, 42, 85, 35, 78, 38, 81, 43, 86, 36, 79, 27, 70, 34, 77, 37, 80, 28, 71, 19, 62, 26, 69, 29, 72, 20, 63, 11, 54, 18, 61, 21, 64, 12, 55, 4, 47, 10, 53, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 52)(14, 65)(15, 66)(16, 67)(17, 68)(18, 53)(19, 54)(20, 55)(21, 56)(22, 73)(23, 74)(24, 75)(25, 76)(26, 61)(27, 62)(28, 63)(29, 64)(30, 81)(31, 82)(32, 83)(33, 84)(34, 69)(35, 70)(36, 71)(37, 72)(38, 77)(39, 86)(40, 78)(41, 85)(42, 79)(43, 80)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.735
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.754 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-1 * T2^-2, T1^-10 * T2^-1 * T1^-1, T1^4 * T2^-1 * T1^5 * T2^-2 * T1, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 12, 55, 4, 47, 10, 53, 18, 61, 21, 64, 11, 54, 19, 62, 26, 69, 29, 72, 20, 63, 27, 70, 34, 77, 37, 80, 28, 71, 35, 78, 42, 85, 38, 81, 36, 79, 43, 86, 40, 83, 30, 73, 39, 82, 41, 84, 32, 75, 22, 65, 31, 74, 33, 76, 24, 67, 14, 57, 23, 66, 25, 68, 16, 59, 6, 49, 15, 58, 17, 60, 8, 51, 2, 45, 7, 50, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 56)(10, 46)(11, 47)(12, 48)(13, 60)(14, 65)(15, 66)(16, 67)(17, 68)(18, 52)(19, 53)(20, 54)(21, 55)(22, 73)(23, 74)(24, 75)(25, 76)(26, 61)(27, 62)(28, 63)(29, 64)(30, 81)(31, 82)(32, 83)(33, 84)(34, 69)(35, 70)(36, 71)(37, 72)(38, 80)(39, 79)(40, 85)(41, 86)(42, 77)(43, 78)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.732
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.755 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2^-1 * T1 * T2^-2, T2^-10 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 44, 3, 46, 9, 52, 19, 62, 29, 72, 37, 80, 40, 83, 32, 75, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 14, 57, 26, 69, 34, 77, 42, 85, 39, 82, 31, 74, 23, 66, 11, 54, 21, 64, 16, 59, 6, 49, 15, 58, 27, 70, 35, 78, 43, 86, 38, 81, 30, 73, 22, 65, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 28, 71, 36, 79, 41, 84, 33, 76, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 62)(15, 69)(16, 63)(17, 70)(18, 64)(19, 71)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 65)(26, 72)(27, 77)(28, 78)(29, 79)(30, 66)(31, 67)(32, 68)(33, 73)(34, 80)(35, 85)(36, 86)(37, 84)(38, 74)(39, 75)(40, 76)(41, 81)(42, 83)(43, 82)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.734
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.756 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-14 * T2 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 4, 47, 10, 53, 15, 58, 11, 54, 16, 59, 21, 64, 17, 60, 22, 65, 27, 70, 23, 66, 28, 71, 33, 76, 29, 72, 34, 77, 39, 82, 35, 78, 40, 83, 43, 86, 41, 84, 36, 79, 42, 85, 38, 81, 30, 73, 37, 80, 32, 75, 24, 67, 31, 74, 26, 69, 18, 61, 25, 68, 20, 63, 12, 55, 19, 62, 14, 57, 6, 49, 13, 56, 8, 51, 2, 45, 7, 50, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 55)(7, 56)(8, 57)(9, 48)(10, 46)(11, 47)(12, 61)(13, 62)(14, 63)(15, 52)(16, 53)(17, 54)(18, 67)(19, 68)(20, 69)(21, 58)(22, 59)(23, 60)(24, 73)(25, 74)(26, 75)(27, 64)(28, 65)(29, 66)(30, 79)(31, 80)(32, 81)(33, 70)(34, 71)(35, 72)(36, 83)(37, 85)(38, 84)(39, 76)(40, 77)(41, 78)(42, 86)(43, 82)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.737
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.757 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {43, 43, 43})
Quotient :: loop
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-4 * T2^-1, T2^2 * T1^-1 * T2^6, T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-3 * 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 ]
Map:: non-degenerate
	R = (1, 44, 3, 46, 9, 52, 19, 62, 33, 76, 32, 75, 18, 61, 8, 51, 2, 45, 7, 50, 17, 60, 31, 74, 41, 84, 40, 83, 30, 73, 16, 59, 6, 49, 15, 58, 29, 72, 22, 65, 36, 79, 43, 86, 39, 82, 28, 71, 14, 57, 27, 70, 23, 66, 11, 54, 21, 64, 35, 78, 42, 85, 38, 81, 26, 69, 24, 67, 12, 55, 4, 47, 10, 53, 20, 63, 34, 77, 37, 80, 25, 68, 13, 56, 5, 48)
	L = (1, 45)(2, 49)(3, 50)(4, 44)(5, 51)(6, 57)(7, 58)(8, 59)(9, 60)(10, 46)(11, 47)(12, 48)(13, 61)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 52)(21, 53)(22, 54)(23, 55)(24, 56)(25, 75)(26, 68)(27, 67)(28, 81)(29, 66)(30, 82)(31, 65)(32, 83)(33, 84)(34, 62)(35, 63)(36, 64)(37, 76)(38, 80)(39, 85)(40, 86)(41, 79)(42, 77)(43, 78)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.736
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^21 * Y2, Y2 * Y1^-21 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 10, 53, 14, 57, 18, 61, 22, 65, 26, 69, 30, 73, 34, 77, 38, 81, 42, 85, 40, 83, 36, 79, 32, 75, 28, 71, 24, 67, 20, 63, 16, 59, 12, 55, 8, 51, 3, 46, 5, 48, 7, 50, 11, 54, 15, 58, 19, 62, 23, 66, 27, 70, 31, 74, 35, 78, 39, 82, 43, 86, 41, 84, 37, 80, 33, 76, 29, 72, 25, 68, 21, 64, 17, 60, 13, 56, 9, 52, 4, 47)(87, 130, 89, 132, 90, 133, 94, 137, 95, 138, 98, 141, 99, 142, 102, 145, 103, 146, 106, 149, 107, 150, 110, 153, 111, 154, 114, 157, 115, 158, 118, 161, 119, 162, 122, 165, 123, 166, 126, 169, 127, 170, 128, 171, 129, 172, 124, 167, 125, 168, 120, 163, 121, 164, 116, 159, 117, 160, 112, 155, 113, 156, 108, 151, 109, 152, 104, 147, 105, 148, 100, 143, 101, 144, 96, 139, 97, 140, 92, 135, 93, 136, 88, 131, 91, 134)
	L = (1, 90)(2, 87)(3, 94)(4, 95)(5, 89)(6, 88)(7, 91)(8, 98)(9, 99)(10, 92)(11, 93)(12, 102)(13, 103)(14, 96)(15, 97)(16, 106)(17, 107)(18, 100)(19, 101)(20, 110)(21, 111)(22, 104)(23, 105)(24, 114)(25, 115)(26, 108)(27, 109)(28, 118)(29, 119)(30, 112)(31, 113)(32, 122)(33, 123)(34, 116)(35, 117)(36, 126)(37, 127)(38, 120)(39, 121)(40, 128)(41, 129)(42, 124)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.778
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2 * Y1^20 * Y3^-1, (Y3 * Y2^-1)^43 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 10, 53, 14, 57, 18, 61, 22, 65, 26, 69, 30, 73, 34, 77, 38, 81, 42, 85, 41, 84, 37, 80, 33, 76, 29, 72, 25, 68, 21, 64, 17, 60, 13, 56, 9, 52, 5, 48, 3, 46, 7, 50, 11, 54, 15, 58, 19, 62, 23, 66, 27, 70, 31, 74, 35, 78, 39, 82, 43, 86, 40, 83, 36, 79, 32, 75, 28, 71, 24, 67, 20, 63, 16, 59, 12, 55, 8, 51, 4, 47)(87, 130, 89, 132, 88, 131, 93, 136, 92, 135, 97, 140, 96, 139, 101, 144, 100, 143, 105, 148, 104, 147, 109, 152, 108, 151, 113, 156, 112, 155, 117, 160, 116, 159, 121, 164, 120, 163, 125, 168, 124, 167, 129, 172, 128, 171, 126, 169, 127, 170, 122, 165, 123, 166, 118, 161, 119, 162, 114, 157, 115, 158, 110, 153, 111, 154, 106, 149, 107, 150, 102, 145, 103, 146, 98, 141, 99, 142, 94, 137, 95, 138, 90, 133, 91, 134)
	L = (1, 90)(2, 87)(3, 91)(4, 94)(5, 95)(6, 88)(7, 89)(8, 98)(9, 99)(10, 92)(11, 93)(12, 102)(13, 103)(14, 96)(15, 97)(16, 106)(17, 107)(18, 100)(19, 101)(20, 110)(21, 111)(22, 104)(23, 105)(24, 114)(25, 115)(26, 108)(27, 109)(28, 118)(29, 119)(30, 112)(31, 113)(32, 122)(33, 123)(34, 116)(35, 117)(36, 126)(37, 127)(38, 120)(39, 121)(40, 129)(41, 128)(42, 124)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.791
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2, (R * Y2)^2, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^-1 * Y2 * Y3^12 * Y1^-1, Y3 * Y2 * Y3^5 * Y2 * Y1^-4 * Y3^-6 * Y2 * Y3^6 * Y2 * Y3^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 12, 55, 18, 61, 24, 67, 30, 73, 36, 79, 40, 83, 34, 77, 28, 71, 22, 65, 16, 59, 10, 53, 3, 46, 7, 50, 13, 56, 19, 62, 25, 68, 31, 74, 37, 80, 42, 85, 43, 86, 39, 82, 33, 76, 27, 70, 21, 64, 15, 58, 9, 52, 5, 48, 8, 51, 14, 57, 20, 63, 26, 69, 32, 75, 38, 81, 41, 84, 35, 78, 29, 72, 23, 66, 17, 60, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 90, 133, 96, 139, 101, 144, 97, 140, 102, 145, 107, 150, 103, 146, 108, 151, 113, 156, 109, 152, 114, 157, 119, 162, 115, 158, 120, 163, 125, 168, 121, 164, 126, 169, 129, 172, 127, 170, 122, 165, 128, 171, 124, 167, 116, 159, 123, 166, 118, 161, 110, 153, 117, 160, 112, 155, 104, 147, 111, 154, 106, 149, 98, 141, 105, 148, 100, 143, 92, 135, 99, 142, 94, 137, 88, 131, 93, 136, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 95)(6, 88)(7, 89)(8, 91)(9, 101)(10, 102)(11, 103)(12, 92)(13, 93)(14, 94)(15, 107)(16, 108)(17, 109)(18, 98)(19, 99)(20, 100)(21, 113)(22, 114)(23, 115)(24, 104)(25, 105)(26, 106)(27, 119)(28, 120)(29, 121)(30, 110)(31, 111)(32, 112)(33, 125)(34, 126)(35, 127)(36, 116)(37, 117)(38, 118)(39, 129)(40, 122)(41, 124)(42, 123)(43, 128)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.797
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * 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 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 12, 55, 18, 61, 24, 67, 30, 73, 36, 79, 41, 84, 35, 78, 29, 72, 23, 66, 17, 60, 11, 54, 5, 48, 8, 51, 14, 57, 20, 63, 26, 69, 32, 75, 38, 81, 42, 85, 43, 86, 39, 82, 33, 76, 27, 70, 21, 64, 15, 58, 9, 52, 3, 46, 7, 50, 13, 56, 19, 62, 25, 68, 31, 74, 37, 80, 40, 83, 34, 77, 28, 71, 22, 65, 16, 59, 10, 53, 4, 47)(87, 130, 89, 132, 94, 137, 88, 131, 93, 136, 100, 143, 92, 135, 99, 142, 106, 149, 98, 141, 105, 148, 112, 155, 104, 147, 111, 154, 118, 161, 110, 153, 117, 160, 124, 167, 116, 159, 123, 166, 128, 171, 122, 165, 126, 169, 129, 172, 127, 170, 120, 163, 125, 168, 121, 164, 114, 157, 119, 162, 115, 158, 108, 151, 113, 156, 109, 152, 102, 145, 107, 150, 103, 146, 96, 139, 101, 144, 97, 140, 90, 133, 95, 138, 91, 134)
	L = (1, 90)(2, 87)(3, 95)(4, 96)(5, 97)(6, 88)(7, 89)(8, 91)(9, 101)(10, 102)(11, 103)(12, 92)(13, 93)(14, 94)(15, 107)(16, 108)(17, 109)(18, 98)(19, 99)(20, 100)(21, 113)(22, 114)(23, 115)(24, 104)(25, 105)(26, 106)(27, 119)(28, 120)(29, 121)(30, 110)(31, 111)(32, 112)(33, 125)(34, 126)(35, 127)(36, 116)(37, 117)(38, 118)(39, 129)(40, 123)(41, 122)(42, 124)(43, 128)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.787
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^-3 * Y1^-1 * Y2^-1, Y1^-9 * Y2^-1 * Y1^-2, Y1^5 * Y2^-1 * Y1 * Y3^-4 * Y2^-2, Y2 * Y3^3 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^4 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 22, 65, 30, 73, 38, 81, 37, 80, 29, 72, 21, 64, 12, 55, 5, 48, 8, 51, 16, 59, 24, 67, 32, 75, 40, 83, 42, 85, 34, 77, 26, 69, 18, 61, 9, 52, 13, 56, 17, 60, 25, 68, 33, 76, 41, 84, 43, 86, 35, 78, 27, 70, 19, 62, 10, 53, 3, 46, 7, 50, 15, 58, 23, 66, 31, 74, 39, 82, 36, 79, 28, 71, 20, 63, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 98, 141, 90, 133, 96, 139, 104, 147, 107, 150, 97, 140, 105, 148, 112, 155, 115, 158, 106, 149, 113, 156, 120, 163, 123, 166, 114, 157, 121, 164, 128, 171, 124, 167, 122, 165, 129, 172, 126, 169, 116, 159, 125, 168, 127, 170, 118, 161, 108, 151, 117, 160, 119, 162, 110, 153, 100, 143, 109, 152, 111, 154, 102, 145, 92, 135, 101, 144, 103, 146, 94, 137, 88, 131, 93, 136, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 104)(10, 105)(11, 106)(12, 107)(13, 95)(14, 92)(15, 93)(16, 94)(17, 99)(18, 112)(19, 113)(20, 114)(21, 115)(22, 100)(23, 101)(24, 102)(25, 103)(26, 120)(27, 121)(28, 122)(29, 123)(30, 108)(31, 109)(32, 110)(33, 111)(34, 128)(35, 129)(36, 125)(37, 124)(38, 116)(39, 117)(40, 118)(41, 119)(42, 126)(43, 127)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.790
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2, Y1^-1), Y2^-4 * Y1, Y1^5 * Y2^-1 * Y1 * Y3^-5, Y1^43, 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 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 22, 65, 30, 73, 38, 81, 34, 77, 26, 69, 18, 61, 10, 53, 3, 46, 7, 50, 15, 58, 23, 66, 31, 74, 39, 82, 43, 86, 37, 80, 29, 72, 21, 64, 13, 56, 9, 52, 17, 60, 25, 68, 33, 76, 41, 84, 42, 85, 36, 79, 28, 71, 20, 63, 12, 55, 5, 48, 8, 51, 16, 59, 24, 67, 32, 75, 40, 83, 35, 78, 27, 70, 19, 62, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 94, 137, 88, 131, 93, 136, 103, 146, 102, 145, 92, 135, 101, 144, 111, 154, 110, 153, 100, 143, 109, 152, 119, 162, 118, 161, 108, 151, 117, 160, 127, 170, 126, 169, 116, 159, 125, 168, 128, 171, 121, 164, 124, 167, 129, 172, 122, 165, 113, 156, 120, 163, 123, 166, 114, 157, 105, 148, 112, 155, 115, 158, 106, 149, 97, 140, 104, 147, 107, 150, 98, 141, 90, 133, 96, 139, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 99)(10, 104)(11, 105)(12, 106)(13, 107)(14, 92)(15, 93)(16, 94)(17, 95)(18, 112)(19, 113)(20, 114)(21, 115)(22, 100)(23, 101)(24, 102)(25, 103)(26, 120)(27, 121)(28, 122)(29, 123)(30, 108)(31, 109)(32, 110)(33, 111)(34, 124)(35, 126)(36, 128)(37, 129)(38, 116)(39, 117)(40, 118)(41, 119)(42, 127)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.794
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^3 * Y3^-1 * Y2^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-2 * Y3^-5, Y2^2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-4, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^2 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 24, 67, 34, 77, 39, 82, 29, 72, 19, 62, 13, 56, 18, 61, 28, 71, 38, 81, 41, 84, 31, 74, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 25, 68, 35, 78, 43, 86, 33, 76, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 26, 69, 36, 79, 40, 83, 30, 73, 20, 63, 9, 52, 17, 60, 27, 70, 37, 80, 42, 85, 32, 75, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 98, 141, 90, 133, 96, 139, 106, 149, 115, 158, 109, 152, 97, 140, 107, 150, 116, 159, 125, 168, 119, 162, 108, 151, 117, 160, 126, 169, 120, 163, 129, 172, 118, 161, 127, 170, 122, 165, 110, 153, 121, 164, 128, 171, 124, 167, 112, 155, 100, 143, 111, 154, 123, 166, 114, 157, 102, 145, 92, 135, 101, 144, 113, 156, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 105)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 120)(40, 122)(41, 124)(42, 123)(43, 121)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.788
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^5, Y1^3 * Y2^-1 * Y1^2 * Y3^-3 * Y2^-1 * Y1, Y3^-1 * Y1^5 * Y2 * Y1 * Y2^2 * Y3^-1, (Y1^-1 * Y2^-1)^43 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 24, 67, 34, 77, 39, 82, 29, 72, 19, 62, 9, 52, 17, 60, 27, 70, 37, 80, 42, 85, 32, 75, 22, 65, 12, 55, 5, 48, 8, 51, 16, 59, 26, 69, 36, 79, 40, 83, 30, 73, 20, 63, 10, 53, 3, 46, 7, 50, 15, 58, 25, 68, 35, 78, 43, 86, 33, 76, 23, 66, 13, 56, 18, 61, 28, 71, 38, 81, 41, 84, 31, 74, 21, 64, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 114, 157, 102, 145, 92, 135, 101, 144, 113, 156, 124, 167, 112, 155, 100, 143, 111, 154, 123, 166, 127, 170, 122, 165, 110, 153, 121, 164, 128, 171, 117, 160, 126, 169, 120, 163, 129, 172, 118, 161, 107, 150, 116, 159, 125, 168, 119, 162, 108, 151, 97, 140, 106, 149, 115, 158, 109, 152, 98, 141, 90, 133, 96, 139, 105, 148, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 120)(40, 122)(41, 124)(42, 123)(43, 121)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.784
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^6 * Y1, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y3^2 * Y2 * Y3^2 * Y1^-3, Y1^-7 * Y2, Y2 * Y3^-1 * Y1^3 * Y2^-2 * Y3^-3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 26, 69, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 27, 70, 36, 79, 33, 76, 20, 63, 9, 52, 17, 60, 29, 72, 37, 80, 42, 85, 40, 83, 32, 75, 19, 62, 25, 68, 31, 74, 39, 82, 43, 86, 41, 84, 35, 78, 24, 67, 13, 56, 18, 61, 30, 73, 38, 81, 34, 77, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 28, 71, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 118, 161, 121, 164, 109, 152, 97, 140, 107, 150, 119, 162, 126, 169, 127, 170, 120, 163, 108, 151, 112, 155, 122, 165, 128, 171, 129, 172, 124, 167, 114, 157, 100, 143, 113, 156, 123, 166, 125, 168, 116, 159, 102, 145, 92, 135, 101, 144, 115, 158, 117, 160, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 118)(20, 119)(21, 112)(22, 114)(23, 120)(24, 121)(25, 105)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 111)(32, 126)(33, 122)(34, 124)(35, 127)(36, 113)(37, 115)(38, 116)(39, 117)(40, 128)(41, 129)(42, 123)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.793
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (Y2, Y1^-1), (R * Y2)^2, Y2 * Y3^-2 * Y2^-1 * Y1^-2, Y3 * Y2^6, Y1^3 * Y2 * Y3^-4, Y2^-1 * Y3^3 * Y1^-4, Y2^-1 * Y1^36, (Y2^-1 * Y3)^43 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 26, 69, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 28, 71, 36, 79, 34, 77, 24, 67, 13, 56, 18, 61, 30, 73, 38, 81, 42, 85, 41, 84, 35, 78, 25, 68, 19, 62, 31, 74, 39, 82, 43, 86, 40, 83, 32, 75, 20, 63, 9, 52, 17, 60, 29, 72, 37, 80, 33, 76, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 27, 70, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 117, 160, 116, 159, 102, 145, 92, 135, 101, 144, 115, 158, 125, 168, 124, 167, 114, 157, 100, 143, 113, 156, 123, 166, 129, 172, 128, 171, 122, 165, 112, 155, 108, 151, 119, 162, 126, 169, 127, 170, 120, 163, 109, 152, 97, 140, 107, 150, 118, 161, 121, 164, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 111)(20, 118)(21, 119)(22, 113)(23, 112)(24, 120)(25, 121)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 126)(33, 123)(34, 122)(35, 127)(36, 114)(37, 115)(38, 116)(39, 117)(40, 129)(41, 128)(42, 124)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.783
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^2 * Y3 * Y2 * Y1^-4, Y3^2 * Y2 * Y3 * Y2^2 * Y3 * Y1^-1, Y2^3 * Y1 * Y2^5, Y2^2 * Y3 * Y2 * Y1^39, 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 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 26, 69, 19, 62, 31, 74, 40, 83, 42, 85, 35, 78, 24, 67, 13, 56, 18, 61, 30, 73, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 27, 70, 38, 81, 33, 76, 37, 80, 41, 84, 34, 77, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 28, 71, 20, 63, 9, 52, 17, 60, 29, 72, 39, 82, 43, 86, 36, 79, 25, 68, 32, 75, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 119, 162, 122, 165, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 112, 155, 124, 167, 129, 172, 121, 164, 109, 152, 97, 140, 107, 150, 114, 157, 100, 143, 113, 156, 125, 168, 128, 171, 120, 163, 108, 151, 116, 159, 102, 145, 92, 135, 101, 144, 115, 158, 126, 169, 127, 170, 118, 161, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 117, 160, 123, 166, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 112)(20, 114)(21, 116)(22, 118)(23, 120)(24, 121)(25, 122)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 111)(33, 124)(34, 127)(35, 128)(36, 129)(37, 119)(38, 113)(39, 115)(40, 117)(41, 123)(42, 126)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.782
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-1 * Y1^-1, Y3 * Y1, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-3, Y2^-8 * Y1, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-3 * Y2^-2, Y2^-1 * Y3^-2 * Y1^2 * Y2^-1 * Y3^-2 * Y2^-3, Y1^43, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, 44, 2, 45, 6, 49, 14, 57, 26, 69, 25, 68, 32, 75, 40, 83, 43, 86, 35, 78, 20, 63, 9, 52, 17, 60, 29, 72, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 28, 71, 38, 81, 37, 80, 33, 76, 41, 84, 36, 79, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 27, 70, 24, 67, 13, 56, 18, 61, 30, 73, 39, 82, 42, 85, 34, 77, 19, 62, 31, 74, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 119, 162, 118, 161, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 117, 160, 127, 170, 126, 169, 116, 159, 102, 145, 92, 135, 101, 144, 115, 158, 108, 151, 122, 165, 129, 172, 125, 168, 114, 157, 100, 143, 113, 156, 109, 152, 97, 140, 107, 150, 121, 164, 128, 171, 124, 167, 112, 155, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 120, 163, 123, 166, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 120)(20, 121)(21, 122)(22, 117)(23, 115)(24, 113)(25, 112)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 111)(33, 123)(34, 128)(35, 129)(36, 127)(37, 124)(38, 114)(39, 116)(40, 118)(41, 119)(42, 125)(43, 126)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.796
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2, Y1^3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-8, Y1 * Y2^-1 * Y3^-1 * Y2^-3 * Y3^-2 * Y2^-3, Y1^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^2 * Y2^4, Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-2 * Y2^-1 * Y3^2 * Y2^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^57 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 24, 67, 13, 56, 18, 61, 27, 70, 36, 79, 40, 83, 35, 78, 39, 82, 42, 85, 31, 74, 19, 62, 28, 71, 33, 76, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 26, 69, 34, 77, 25, 68, 29, 72, 37, 80, 41, 84, 30, 73, 38, 81, 43, 86, 32, 75, 20, 63, 9, 52, 17, 60, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 116, 159, 126, 169, 120, 163, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 117, 160, 127, 170, 122, 165, 112, 155, 100, 143, 109, 152, 97, 140, 107, 150, 118, 161, 128, 171, 123, 166, 113, 156, 102, 145, 92, 135, 101, 144, 108, 151, 119, 162, 129, 172, 125, 168, 115, 158, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 114, 157, 124, 167, 121, 164, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 117)(20, 118)(21, 119)(22, 103)(23, 101)(24, 100)(25, 120)(26, 102)(27, 104)(28, 105)(29, 111)(30, 127)(31, 128)(32, 129)(33, 114)(34, 112)(35, 126)(36, 113)(37, 115)(38, 116)(39, 121)(40, 122)(41, 123)(42, 125)(43, 124)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.792
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), Y2^-2 * Y1^2 * Y3^-3, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2^6 * Y3 * Y2^3, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^4 * Y3^-1, Y1 * Y2 * Y1 * Y3 * Y2^-4 * Y3 * Y2^-5 * Y3 * Y2^-5 * Y3 * Y2^-3 * 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 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 20, 63, 9, 52, 17, 60, 27, 70, 36, 79, 40, 83, 30, 73, 38, 81, 42, 85, 34, 77, 25, 68, 29, 72, 32, 75, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 26, 69, 31, 74, 19, 62, 28, 71, 37, 80, 43, 86, 35, 78, 39, 82, 41, 84, 33, 76, 24, 67, 13, 56, 18, 61, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 116, 159, 125, 168, 115, 158, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 114, 157, 124, 167, 127, 170, 118, 161, 108, 151, 102, 145, 92, 135, 101, 144, 113, 156, 123, 166, 128, 171, 119, 162, 109, 152, 97, 140, 107, 150, 100, 143, 112, 155, 122, 165, 129, 172, 120, 163, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 117, 160, 126, 169, 121, 164, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 117)(20, 100)(21, 102)(22, 104)(23, 118)(24, 119)(25, 120)(26, 101)(27, 103)(28, 105)(29, 111)(30, 126)(31, 112)(32, 115)(33, 127)(34, 128)(35, 129)(36, 113)(37, 114)(38, 116)(39, 121)(40, 122)(41, 125)(42, 124)(43, 123)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.789
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), Y2^3 * Y1^-4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 44, 2, 45, 6, 49, 14, 57, 19, 62, 28, 71, 35, 78, 42, 85, 40, 83, 33, 76, 30, 73, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 20, 63, 9, 52, 17, 60, 27, 70, 34, 77, 37, 80, 41, 84, 38, 81, 31, 74, 24, 67, 13, 56, 18, 61, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 26, 69, 29, 72, 36, 79, 43, 86, 39, 82, 32, 75, 25, 68, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 115, 158, 123, 166, 126, 169, 118, 161, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 100, 143, 112, 155, 120, 163, 128, 171, 125, 168, 117, 160, 109, 152, 97, 140, 107, 150, 102, 145, 92, 135, 101, 144, 113, 156, 121, 164, 129, 172, 124, 167, 116, 159, 108, 151, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 114, 157, 122, 165, 127, 170, 119, 162, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 100)(20, 102)(21, 104)(22, 111)(23, 116)(24, 117)(25, 118)(26, 101)(27, 103)(28, 105)(29, 112)(30, 119)(31, 124)(32, 125)(33, 126)(34, 113)(35, 114)(36, 115)(37, 120)(38, 127)(39, 129)(40, 128)(41, 123)(42, 121)(43, 122)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.795
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y2^-1 * Y1 * Y2^-9, Y2^3 * Y3 * Y2 * Y3 * Y2^3 * Y1^-3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 25, 68, 28, 71, 35, 78, 42, 85, 38, 81, 29, 72, 32, 75, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 24, 67, 13, 56, 18, 61, 27, 70, 34, 77, 41, 84, 37, 80, 40, 83, 31, 74, 20, 63, 9, 52, 17, 60, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 26, 69, 33, 76, 36, 79, 43, 86, 39, 82, 30, 73, 19, 62, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 115, 158, 123, 166, 122, 165, 114, 157, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 108, 151, 118, 161, 126, 169, 129, 172, 121, 164, 113, 156, 102, 145, 92, 135, 101, 144, 109, 152, 97, 140, 107, 150, 117, 160, 125, 168, 128, 171, 120, 163, 112, 155, 100, 143, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 116, 159, 124, 167, 127, 170, 119, 162, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 116)(20, 117)(21, 118)(22, 105)(23, 103)(24, 101)(25, 100)(26, 102)(27, 104)(28, 111)(29, 124)(30, 125)(31, 126)(32, 115)(33, 112)(34, 113)(35, 114)(36, 119)(37, 127)(38, 128)(39, 129)(40, 123)(41, 120)(42, 121)(43, 122)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.780
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, Y1^2 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-4, Y2 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^4 * Y3^-1, Y2^3 * Y3 * Y2^4 * Y1^-2, Y1^43, 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 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 26, 69, 35, 78, 20, 63, 9, 52, 17, 60, 29, 72, 40, 83, 25, 68, 32, 75, 42, 85, 33, 76, 38, 81, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 28, 71, 36, 79, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 27, 70, 41, 84, 43, 86, 34, 77, 19, 62, 31, 74, 39, 82, 24, 67, 13, 56, 18, 61, 30, 73, 37, 80, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 119, 162, 123, 166, 114, 157, 100, 143, 113, 156, 126, 169, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 120, 163, 128, 171, 116, 159, 102, 145, 92, 135, 101, 144, 115, 158, 125, 168, 109, 152, 97, 140, 107, 150, 121, 164, 129, 172, 118, 161, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 117, 160, 124, 167, 108, 151, 122, 165, 112, 155, 127, 170, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 120)(20, 121)(21, 122)(22, 123)(23, 124)(24, 125)(25, 126)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 111)(33, 128)(34, 129)(35, 112)(36, 114)(37, 116)(38, 119)(39, 117)(40, 115)(41, 113)(42, 118)(43, 127)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.781
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1), Y1 * Y2 * Y3^2 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1^2 * Y2^-4 * Y1, Y1^3 * Y2^2 * Y3^-4, Y2^-1 * Y1 * Y2^-2 * Y1 * Y3^-2 * Y2^-2, Y2^2 * Y3^-2 * Y1 * Y3^-4, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-4 * 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 * Y2 * Y1^2, Y2^43, Y3^38 * Y2^4 * Y1 * Y2^-2 * Y1, Y3^-236 * Y2^-1 * Y1^-3 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 14, 57, 26, 69, 39, 82, 24, 67, 13, 56, 18, 61, 30, 73, 34, 77, 19, 62, 31, 74, 42, 85, 41, 84, 36, 79, 21, 64, 10, 53, 3, 46, 7, 50, 15, 58, 27, 70, 38, 81, 23, 66, 12, 55, 5, 48, 8, 51, 16, 59, 28, 71, 33, 76, 43, 86, 40, 83, 25, 68, 32, 75, 35, 78, 20, 63, 9, 52, 17, 60, 29, 72, 37, 80, 22, 65, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 105, 148, 119, 162, 112, 155, 124, 167, 108, 151, 122, 165, 118, 161, 104, 147, 94, 137, 88, 131, 93, 136, 103, 146, 117, 160, 129, 172, 125, 168, 109, 152, 97, 140, 107, 150, 121, 164, 116, 159, 102, 145, 92, 135, 101, 144, 115, 158, 128, 171, 126, 169, 110, 153, 98, 141, 90, 133, 96, 139, 106, 149, 120, 163, 114, 157, 100, 143, 113, 156, 123, 166, 127, 170, 111, 154, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 106)(10, 107)(11, 108)(12, 109)(13, 110)(14, 92)(15, 93)(16, 94)(17, 95)(18, 99)(19, 120)(20, 121)(21, 122)(22, 123)(23, 124)(24, 125)(25, 126)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 111)(33, 114)(34, 116)(35, 118)(36, 127)(37, 115)(38, 113)(39, 112)(40, 129)(41, 128)(42, 117)(43, 119)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.786
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^2 * Y1 * Y3^-2, Y2^-13 * Y1^2, Y3^2 * Y2^-5 * Y1^2 * Y2^-5 * Y1^2 * Y2^-5 * Y1^2 * Y2^-5 * Y1^2 * Y2^-4 * Y1, Y1^43, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^271 * Y3^2 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 13, 56, 15, 58, 20, 63, 25, 68, 27, 70, 32, 75, 37, 80, 39, 82, 40, 83, 42, 85, 35, 78, 28, 71, 30, 73, 23, 66, 16, 59, 18, 61, 10, 53, 3, 46, 7, 50, 12, 55, 5, 48, 8, 51, 14, 57, 19, 62, 21, 64, 26, 69, 31, 74, 33, 76, 38, 81, 43, 86, 41, 84, 34, 77, 36, 79, 29, 72, 22, 65, 24, 67, 17, 60, 9, 52, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 102, 145, 108, 151, 114, 157, 120, 163, 126, 169, 124, 167, 118, 161, 112, 155, 106, 149, 100, 143, 92, 135, 98, 141, 90, 133, 96, 139, 103, 146, 109, 152, 115, 158, 121, 164, 127, 170, 125, 168, 119, 162, 113, 156, 107, 150, 101, 144, 94, 137, 88, 131, 93, 136, 97, 140, 104, 147, 110, 153, 116, 159, 122, 165, 128, 171, 129, 172, 123, 166, 117, 160, 111, 154, 105, 148, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 103)(10, 104)(11, 95)(12, 93)(13, 92)(14, 94)(15, 99)(16, 109)(17, 110)(18, 102)(19, 100)(20, 101)(21, 105)(22, 115)(23, 116)(24, 108)(25, 106)(26, 107)(27, 111)(28, 121)(29, 122)(30, 114)(31, 112)(32, 113)(33, 117)(34, 127)(35, 128)(36, 120)(37, 118)(38, 119)(39, 123)(40, 125)(41, 129)(42, 126)(43, 124)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.779
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3, Y2^13 * Y1^2, Y2^-2 * Y1^-2 * Y2^-5 * Y1^-2 * Y2^-5 * Y1^-2 * Y2^-5 * Y1^-2 * Y2^-5 * Y1^-2, Y1^43, 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, Y2^-271 * Y3 * Y1^-1 ]
Map::
	R = (1, 44, 2, 45, 6, 49, 9, 52, 15, 58, 20, 63, 22, 65, 27, 70, 32, 75, 34, 77, 39, 82, 43, 86, 41, 84, 36, 79, 31, 74, 29, 72, 24, 67, 19, 62, 17, 60, 12, 55, 5, 48, 8, 51, 10, 53, 3, 46, 7, 50, 14, 57, 16, 59, 21, 64, 26, 69, 28, 71, 33, 76, 38, 81, 40, 83, 42, 85, 37, 80, 35, 78, 30, 73, 25, 68, 23, 66, 18, 61, 13, 56, 11, 54, 4, 47)(87, 130, 89, 132, 95, 138, 102, 145, 108, 151, 114, 157, 120, 163, 126, 169, 127, 170, 121, 164, 115, 158, 109, 152, 103, 146, 97, 140, 94, 137, 88, 131, 93, 136, 101, 144, 107, 150, 113, 156, 119, 162, 125, 168, 128, 171, 122, 165, 116, 159, 110, 153, 104, 147, 98, 141, 90, 133, 96, 139, 92, 135, 100, 143, 106, 149, 112, 155, 118, 161, 124, 167, 129, 172, 123, 166, 117, 160, 111, 154, 105, 148, 99, 142, 91, 134)
	L = (1, 90)(2, 87)(3, 96)(4, 97)(5, 98)(6, 88)(7, 89)(8, 91)(9, 92)(10, 94)(11, 99)(12, 103)(13, 104)(14, 93)(15, 95)(16, 100)(17, 105)(18, 109)(19, 110)(20, 101)(21, 102)(22, 106)(23, 111)(24, 115)(25, 116)(26, 107)(27, 108)(28, 112)(29, 117)(30, 121)(31, 122)(32, 113)(33, 114)(34, 118)(35, 123)(36, 127)(37, 128)(38, 119)(39, 120)(40, 124)(41, 129)(42, 126)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.785
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^43, (Y3 * Y2^-1)^43, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 90, 133, 92, 135, 94, 137, 96, 139, 98, 141, 100, 143, 109, 152, 118, 161, 127, 170, 129, 172, 128, 171, 126, 169, 125, 168, 124, 167, 119, 162, 123, 166, 122, 165, 121, 164, 120, 163, 117, 160, 116, 159, 115, 158, 114, 157, 113, 156, 112, 155, 111, 154, 110, 153, 108, 151, 107, 150, 106, 149, 105, 148, 104, 147, 103, 146, 102, 145, 101, 144, 99, 142, 97, 140, 95, 138, 93, 136, 91, 134, 89, 132)
	L = (1, 89)(2, 87)(3, 91)(4, 88)(5, 93)(6, 90)(7, 95)(8, 92)(9, 97)(10, 94)(11, 99)(12, 96)(13, 101)(14, 98)(15, 102)(16, 103)(17, 104)(18, 105)(19, 106)(20, 107)(21, 108)(22, 110)(23, 100)(24, 111)(25, 112)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 120)(32, 109)(33, 124)(34, 121)(35, 122)(36, 123)(37, 119)(38, 125)(39, 126)(40, 128)(41, 118)(42, 129)(43, 127)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.758
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-21, (Y3 * Y2^-1)^43, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 91, 134, 92, 135, 95, 138, 96, 139, 99, 142, 100, 143, 103, 146, 104, 147, 107, 150, 108, 151, 111, 154, 112, 155, 115, 158, 116, 159, 119, 162, 120, 163, 123, 166, 124, 167, 127, 170, 128, 171, 129, 172, 125, 168, 126, 169, 121, 164, 122, 165, 117, 160, 118, 161, 113, 156, 114, 157, 109, 152, 110, 153, 105, 148, 106, 149, 101, 144, 102, 145, 97, 140, 98, 141, 93, 136, 94, 137, 89, 132, 90, 133)
	L = (1, 89)(2, 90)(3, 93)(4, 94)(5, 87)(6, 88)(7, 97)(8, 98)(9, 91)(10, 92)(11, 101)(12, 102)(13, 95)(14, 96)(15, 105)(16, 106)(17, 99)(18, 100)(19, 109)(20, 110)(21, 103)(22, 104)(23, 113)(24, 114)(25, 107)(26, 108)(27, 117)(28, 118)(29, 111)(30, 112)(31, 121)(32, 122)(33, 115)(34, 116)(35, 125)(36, 126)(37, 119)(38, 120)(39, 128)(40, 129)(41, 123)(42, 124)(43, 127)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.776
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-1 * Y2^-3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^-1 * Y2 * Y3^-13, (Y2^-1 * Y3)^43, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 91, 134, 94, 137, 98, 141, 97, 140, 100, 143, 104, 147, 103, 146, 106, 149, 110, 153, 109, 152, 112, 155, 116, 159, 115, 158, 118, 161, 122, 165, 121, 164, 124, 167, 128, 171, 127, 170, 125, 168, 129, 172, 126, 169, 119, 162, 123, 166, 120, 163, 113, 156, 117, 160, 114, 157, 107, 150, 111, 154, 108, 151, 101, 144, 105, 148, 102, 145, 95, 138, 99, 142, 96, 139, 89, 132, 93, 136, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 90)(7, 99)(8, 88)(9, 101)(10, 102)(11, 91)(12, 92)(13, 105)(14, 94)(15, 107)(16, 108)(17, 97)(18, 98)(19, 111)(20, 100)(21, 113)(22, 114)(23, 103)(24, 104)(25, 117)(26, 106)(27, 119)(28, 120)(29, 109)(30, 110)(31, 123)(32, 112)(33, 125)(34, 126)(35, 115)(36, 116)(37, 129)(38, 118)(39, 124)(40, 127)(41, 121)(42, 122)(43, 128)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.773
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), Y3 * Y2^4, Y3^-10 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3^-4 * Y2 * Y3^-5, (Y2^-1 * Y3)^43, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 98, 141, 91, 134, 94, 137, 100, 143, 106, 149, 99, 142, 102, 145, 108, 151, 114, 157, 107, 150, 110, 153, 116, 159, 122, 165, 115, 158, 118, 161, 124, 167, 127, 170, 123, 166, 126, 169, 128, 171, 119, 162, 125, 168, 129, 172, 120, 163, 111, 154, 117, 160, 121, 164, 112, 155, 103, 146, 109, 152, 113, 156, 104, 147, 95, 138, 101, 144, 105, 148, 96, 139, 89, 132, 93, 136, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 97)(7, 101)(8, 88)(9, 103)(10, 104)(11, 105)(12, 90)(13, 91)(14, 92)(15, 109)(16, 94)(17, 111)(18, 112)(19, 113)(20, 98)(21, 99)(22, 100)(23, 117)(24, 102)(25, 119)(26, 120)(27, 121)(28, 106)(29, 107)(30, 108)(31, 125)(32, 110)(33, 127)(34, 128)(35, 129)(36, 114)(37, 115)(38, 116)(39, 123)(40, 118)(41, 122)(42, 124)(43, 126)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.774
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^-5, Y3 * Y2 * Y3^-4 * Y2^-1 * Y3^3, Y3^-2 * Y2^-1 * Y3^-7 * Y2^-1, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 98, 141, 91, 134, 94, 137, 102, 145, 110, 153, 108, 151, 99, 142, 104, 147, 112, 155, 120, 163, 118, 161, 109, 152, 114, 157, 122, 165, 125, 168, 128, 171, 119, 162, 124, 167, 126, 169, 115, 158, 123, 166, 129, 172, 127, 170, 116, 159, 105, 148, 113, 156, 121, 164, 117, 160, 106, 149, 95, 138, 103, 146, 111, 154, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 97)(15, 111)(16, 92)(17, 113)(18, 94)(19, 115)(20, 116)(21, 117)(22, 98)(23, 99)(24, 100)(25, 121)(26, 102)(27, 123)(28, 104)(29, 125)(30, 126)(31, 127)(32, 108)(33, 109)(34, 110)(35, 129)(36, 112)(37, 128)(38, 114)(39, 120)(40, 122)(41, 124)(42, 118)(43, 119)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.768
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^3 * Y3 * Y2^3, Y3^-7 * Y2, 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^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 112, 155, 120, 163, 110, 153, 99, 142, 104, 147, 114, 157, 122, 165, 127, 170, 121, 164, 111, 154, 116, 159, 124, 167, 128, 171, 129, 172, 125, 168, 117, 160, 105, 148, 115, 158, 123, 166, 126, 169, 118, 161, 106, 149, 95, 138, 103, 146, 113, 156, 119, 162, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 108)(15, 113)(16, 92)(17, 115)(18, 94)(19, 116)(20, 117)(21, 118)(22, 119)(23, 97)(24, 98)(25, 99)(26, 100)(27, 123)(28, 102)(29, 124)(30, 104)(31, 111)(32, 125)(33, 126)(34, 109)(35, 110)(36, 112)(37, 128)(38, 114)(39, 121)(40, 129)(41, 120)(42, 122)(43, 127)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.767
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y3^-6 * Y2, Y2^-1 * Y3^-1 * Y2^-6, Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^-3, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 114, 157, 122, 165, 120, 163, 110, 153, 99, 142, 104, 147, 116, 159, 124, 167, 128, 171, 127, 170, 121, 164, 111, 154, 105, 148, 117, 160, 125, 168, 129, 172, 126, 169, 118, 161, 106, 149, 95, 138, 103, 146, 115, 158, 123, 166, 119, 162, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 115)(16, 92)(17, 117)(18, 94)(19, 104)(20, 111)(21, 118)(22, 119)(23, 97)(24, 98)(25, 99)(26, 108)(27, 123)(28, 100)(29, 125)(30, 102)(31, 116)(32, 121)(33, 126)(34, 109)(35, 110)(36, 112)(37, 129)(38, 114)(39, 124)(40, 127)(41, 120)(42, 122)(43, 128)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.765
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y2 * Y3^-1 * Y2^2 * Y3^-1, Y2^4 * Y3 * Y2^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 121, 164, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 114, 157, 124, 167, 128, 171, 122, 165, 110, 153, 99, 142, 104, 147, 116, 159, 105, 148, 117, 160, 126, 169, 129, 172, 123, 166, 111, 154, 118, 161, 106, 149, 95, 138, 103, 146, 115, 158, 125, 168, 127, 170, 119, 162, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 120, 163, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 115)(16, 92)(17, 117)(18, 94)(19, 114)(20, 116)(21, 118)(22, 119)(23, 97)(24, 98)(25, 99)(26, 120)(27, 125)(28, 100)(29, 126)(30, 102)(31, 124)(32, 104)(33, 111)(34, 127)(35, 108)(36, 109)(37, 110)(38, 112)(39, 129)(40, 128)(41, 123)(42, 121)(43, 122)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.777
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-4 * Y3^-1 * Y2^-5, Y2^3 * 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^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 122, 165, 121, 164, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 114, 157, 124, 167, 127, 170, 117, 160, 105, 148, 110, 153, 99, 142, 104, 147, 115, 158, 125, 168, 128, 171, 118, 161, 106, 149, 95, 138, 103, 146, 111, 154, 116, 159, 126, 169, 129, 172, 119, 162, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 123, 166, 120, 163, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 111)(16, 92)(17, 110)(18, 94)(19, 109)(20, 117)(21, 118)(22, 119)(23, 97)(24, 98)(25, 99)(26, 123)(27, 116)(28, 100)(29, 102)(30, 104)(31, 121)(32, 127)(33, 128)(34, 129)(35, 108)(36, 120)(37, 126)(38, 112)(39, 114)(40, 115)(41, 122)(42, 124)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.775
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-1 * Y2^2 * Y3^-3 * Y2, Y2^-8 * Y3^-1 * Y2^-2, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 120, 163, 125, 168, 117, 160, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 105, 148, 115, 158, 123, 166, 129, 172, 126, 169, 118, 161, 110, 153, 99, 142, 104, 147, 106, 149, 95, 138, 103, 146, 114, 157, 122, 165, 128, 171, 127, 170, 119, 162, 111, 154, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 121, 164, 124, 167, 116, 159, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 114)(16, 92)(17, 115)(18, 94)(19, 100)(20, 102)(21, 104)(22, 111)(23, 97)(24, 98)(25, 99)(26, 121)(27, 122)(28, 123)(29, 112)(30, 119)(31, 108)(32, 109)(33, 110)(34, 124)(35, 128)(36, 129)(37, 120)(38, 127)(39, 116)(40, 117)(41, 118)(42, 126)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.761
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^-3 * Y2^-1 * Y3^-1, Y2^-3 * Y3^-1 * Y2^-8, (Y2^-1 * Y3)^43, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 108, 151, 116, 159, 124, 167, 123, 166, 115, 158, 107, 150, 98, 141, 91, 134, 94, 137, 102, 145, 110, 153, 118, 161, 126, 169, 128, 171, 120, 163, 112, 155, 104, 147, 95, 138, 99, 142, 103, 146, 111, 154, 119, 162, 127, 170, 129, 172, 121, 164, 113, 156, 105, 148, 96, 139, 89, 132, 93, 136, 101, 144, 109, 152, 117, 160, 125, 168, 122, 165, 114, 157, 106, 149, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 99)(8, 88)(9, 98)(10, 104)(11, 105)(12, 90)(13, 91)(14, 109)(15, 103)(16, 92)(17, 94)(18, 107)(19, 112)(20, 113)(21, 97)(22, 117)(23, 111)(24, 100)(25, 102)(26, 115)(27, 120)(28, 121)(29, 106)(30, 125)(31, 119)(32, 108)(33, 110)(34, 123)(35, 128)(36, 129)(37, 114)(38, 122)(39, 127)(40, 116)(41, 118)(42, 124)(43, 126)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.764
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3^3 * Y2^4, Y3^-1 * Y2 * Y3^-6 * Y2, Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-4, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^42 * Y3^-3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 127, 170, 120, 163, 105, 148, 117, 160, 124, 167, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 114, 157, 128, 171, 121, 164, 106, 149, 95, 138, 103, 146, 115, 158, 125, 168, 110, 153, 99, 142, 104, 147, 116, 159, 129, 172, 122, 165, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 126, 169, 111, 154, 118, 161, 119, 162, 123, 166, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 115)(16, 92)(17, 117)(18, 94)(19, 119)(20, 120)(21, 121)(22, 122)(23, 97)(24, 98)(25, 99)(26, 126)(27, 125)(28, 100)(29, 124)(30, 102)(31, 123)(32, 104)(33, 116)(34, 118)(35, 127)(36, 128)(37, 129)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 114)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.771
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y3 * Y2^-1 * Y3^2, Y3^10 * Y2, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 105, 148, 114, 157, 121, 164, 128, 171, 126, 169, 119, 162, 116, 159, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 106, 149, 95, 138, 103, 146, 113, 156, 120, 163, 123, 166, 127, 170, 124, 167, 117, 160, 110, 153, 99, 142, 104, 147, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 112, 155, 115, 158, 122, 165, 129, 172, 125, 168, 118, 161, 111, 154, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 112)(15, 113)(16, 92)(17, 114)(18, 94)(19, 115)(20, 100)(21, 102)(22, 104)(23, 97)(24, 98)(25, 99)(26, 120)(27, 121)(28, 122)(29, 123)(30, 108)(31, 109)(32, 110)(33, 111)(34, 128)(35, 129)(36, 127)(37, 126)(38, 116)(39, 117)(40, 118)(41, 119)(42, 125)(43, 124)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.762
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^6 * Y3 * Y2^8, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 98, 141, 104, 147, 110, 153, 116, 159, 122, 165, 127, 170, 121, 164, 115, 158, 109, 152, 103, 146, 97, 140, 91, 134, 94, 137, 100, 143, 106, 149, 112, 155, 118, 161, 124, 167, 128, 171, 129, 172, 125, 168, 119, 162, 113, 156, 107, 150, 101, 144, 95, 138, 89, 132, 93, 136, 99, 142, 105, 148, 111, 154, 117, 160, 123, 166, 126, 169, 120, 163, 114, 157, 108, 151, 102, 145, 96, 139, 90, 133)
	L = (1, 89)(2, 93)(3, 94)(4, 95)(5, 87)(6, 99)(7, 100)(8, 88)(9, 91)(10, 101)(11, 90)(12, 105)(13, 106)(14, 92)(15, 97)(16, 107)(17, 96)(18, 111)(19, 112)(20, 98)(21, 103)(22, 113)(23, 102)(24, 117)(25, 118)(26, 104)(27, 109)(28, 119)(29, 108)(30, 123)(31, 124)(32, 110)(33, 115)(34, 125)(35, 114)(36, 126)(37, 128)(38, 116)(39, 121)(40, 129)(41, 120)(42, 122)(43, 127)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.759
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y3 * Y2 * Y3^2 * Y2, Y2^12 * Y3^-1 * Y2 * Y3^-1, (Y2^-1 * Y3)^43, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 106, 149, 112, 155, 118, 161, 124, 167, 127, 170, 121, 164, 115, 158, 109, 152, 103, 146, 95, 138, 98, 141, 91, 134, 94, 137, 101, 144, 107, 150, 113, 156, 119, 162, 125, 168, 128, 171, 122, 165, 116, 159, 110, 153, 104, 147, 96, 139, 89, 132, 93, 136, 99, 142, 102, 145, 108, 151, 114, 157, 120, 163, 126, 169, 129, 172, 123, 166, 117, 160, 111, 154, 105, 148, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 99)(7, 98)(8, 88)(9, 97)(10, 103)(11, 104)(12, 90)(13, 91)(14, 102)(15, 92)(16, 94)(17, 105)(18, 109)(19, 110)(20, 108)(21, 100)(22, 101)(23, 111)(24, 115)(25, 116)(26, 114)(27, 106)(28, 107)(29, 117)(30, 121)(31, 122)(32, 120)(33, 112)(34, 113)(35, 123)(36, 127)(37, 128)(38, 126)(39, 118)(40, 119)(41, 129)(42, 124)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.770
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2), Y3^-1 * Y2^-1 * Y3^-1 * Y2^-4 * Y3^-1, Y3^2 * Y2^-1 * Y3^6, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^3 * Y3^-3 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^2 * Y3^-1, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 111, 154, 118, 161, 126, 169, 129, 172, 121, 164, 106, 149, 95, 138, 103, 146, 115, 158, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 114, 157, 124, 167, 123, 166, 119, 162, 127, 170, 122, 165, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 110, 153, 99, 142, 104, 147, 116, 159, 125, 168, 128, 171, 120, 163, 105, 148, 117, 160, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 115)(16, 92)(17, 117)(18, 94)(19, 119)(20, 120)(21, 121)(22, 122)(23, 97)(24, 98)(25, 99)(26, 110)(27, 109)(28, 100)(29, 108)(30, 102)(31, 127)(32, 104)(33, 118)(34, 123)(35, 128)(36, 129)(37, 111)(38, 112)(39, 114)(40, 116)(41, 126)(42, 124)(43, 125)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.766
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3^2 * Y2^-1 * Y3^3, Y3^-1 * Y2^9 * Y3^-1, Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^-2, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 110, 153, 120, 163, 125, 168, 115, 158, 105, 148, 95, 138, 103, 146, 113, 156, 123, 166, 128, 171, 118, 161, 108, 151, 98, 141, 91, 134, 94, 137, 102, 145, 112, 155, 122, 165, 126, 169, 116, 159, 106, 149, 96, 139, 89, 132, 93, 136, 101, 144, 111, 154, 121, 164, 129, 172, 119, 162, 109, 152, 99, 142, 104, 147, 114, 157, 124, 167, 127, 170, 117, 160, 107, 150, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 104)(10, 105)(11, 106)(12, 90)(13, 91)(14, 111)(15, 113)(16, 92)(17, 114)(18, 94)(19, 99)(20, 115)(21, 116)(22, 97)(23, 98)(24, 121)(25, 123)(26, 100)(27, 124)(28, 102)(29, 109)(30, 125)(31, 126)(32, 107)(33, 108)(34, 129)(35, 128)(36, 110)(37, 127)(38, 112)(39, 119)(40, 120)(41, 122)(42, 117)(43, 118)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.763
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), Y3^3 * Y2 * Y3^2 * Y2^3, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^5, Y3 * Y2^-1 * Y3^5 * Y2^-2 * Y3, 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 * Y2^4, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 112, 155, 121, 164, 106, 149, 95, 138, 103, 146, 115, 158, 126, 169, 111, 154, 118, 161, 128, 171, 119, 162, 124, 167, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 114, 157, 122, 165, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 113, 156, 127, 170, 129, 172, 120, 163, 105, 148, 117, 160, 125, 168, 110, 153, 99, 142, 104, 147, 116, 159, 123, 166, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 113)(15, 115)(16, 92)(17, 117)(18, 94)(19, 119)(20, 120)(21, 121)(22, 122)(23, 97)(24, 98)(25, 99)(26, 127)(27, 126)(28, 100)(29, 125)(30, 102)(31, 124)(32, 104)(33, 123)(34, 128)(35, 129)(36, 112)(37, 114)(38, 108)(39, 109)(40, 110)(41, 111)(42, 116)(43, 118)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.772
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-2 * Y2^5, Y3^8 * Y2^-1 * Y3, Y3 * Y2 * Y3^3 * Y2 * 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 * Y2^2, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 100, 143, 106, 149, 95, 138, 103, 146, 113, 156, 122, 165, 126, 169, 116, 159, 124, 167, 128, 171, 120, 163, 111, 154, 115, 158, 118, 161, 109, 152, 98, 141, 91, 134, 94, 137, 102, 145, 107, 150, 96, 139, 89, 132, 93, 136, 101, 144, 112, 155, 117, 160, 105, 148, 114, 157, 123, 166, 129, 172, 121, 164, 125, 168, 127, 170, 119, 162, 110, 153, 99, 142, 104, 147, 108, 151, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 101)(7, 103)(8, 88)(9, 105)(10, 106)(11, 107)(12, 90)(13, 91)(14, 112)(15, 113)(16, 92)(17, 114)(18, 94)(19, 116)(20, 117)(21, 100)(22, 102)(23, 97)(24, 98)(25, 99)(26, 122)(27, 123)(28, 124)(29, 104)(30, 125)(31, 126)(32, 108)(33, 109)(34, 110)(35, 111)(36, 129)(37, 128)(38, 127)(39, 115)(40, 121)(41, 118)(42, 119)(43, 120)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.769
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {43, 43, 43})
Quotient :: dipole
Aut^+ = C43 (small group id <43, 1>)
Aut   = D86 (small group id <86, 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, Y3^11 * Y2 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^43 ]
Map::
	R = (1, 44)(2, 45)(3, 46)(4, 47)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14, 57)(15, 58)(16, 59)(17, 60)(18, 61)(19, 62)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 68)(26, 69)(27, 70)(28, 71)(29, 72)(30, 73)(31, 74)(32, 75)(33, 76)(34, 77)(35, 78)(36, 79)(37, 80)(38, 81)(39, 82)(40, 83)(41, 84)(42, 85)(43, 86)(87, 130, 88, 131, 92, 135, 95, 138, 101, 144, 106, 149, 108, 151, 113, 156, 118, 161, 120, 163, 125, 168, 129, 172, 127, 170, 122, 165, 117, 160, 115, 158, 110, 153, 105, 148, 103, 146, 98, 141, 91, 134, 94, 137, 96, 139, 89, 132, 93, 136, 100, 143, 102, 145, 107, 150, 112, 155, 114, 157, 119, 162, 124, 167, 126, 169, 128, 171, 123, 166, 121, 164, 116, 159, 111, 154, 109, 152, 104, 147, 99, 142, 97, 140, 90, 133)
	L = (1, 89)(2, 93)(3, 95)(4, 96)(5, 87)(6, 100)(7, 101)(8, 88)(9, 102)(10, 92)(11, 94)(12, 90)(13, 91)(14, 106)(15, 107)(16, 108)(17, 97)(18, 98)(19, 99)(20, 112)(21, 113)(22, 114)(23, 103)(24, 104)(25, 105)(26, 118)(27, 119)(28, 120)(29, 109)(30, 110)(31, 111)(32, 124)(33, 125)(34, 126)(35, 115)(36, 116)(37, 117)(38, 129)(39, 128)(40, 127)(41, 121)(42, 122)(43, 123)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.760
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.798 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 11})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-11 * Y1 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 7, 51)(6, 50, 8, 52)(9, 53, 13, 57)(10, 54, 12, 56)(11, 55, 15, 59)(14, 58, 16, 60)(17, 61, 21, 65)(18, 62, 20, 64)(19, 63, 23, 67)(22, 66, 24, 68)(25, 69, 29, 73)(26, 70, 28, 72)(27, 71, 31, 75)(30, 74, 32, 76)(33, 77, 37, 81)(34, 78, 36, 80)(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, 98, 142, 95, 139, 100, 144)(94, 138, 97, 141, 96, 140, 101, 145)(99, 143, 106, 150, 103, 147, 108, 152)(102, 146, 105, 149, 104, 148, 109, 153)(107, 151, 114, 158, 111, 155, 116, 160)(110, 154, 113, 157, 112, 156, 117, 161)(115, 159, 122, 166, 119, 163, 124, 168)(118, 162, 121, 165, 120, 164, 125, 169)(123, 167, 130, 174, 127, 171, 131, 175)(126, 170, 129, 173, 128, 172, 132, 176)
	L = (1, 92)(2, 95)(3, 97)(4, 99)(5, 101)(6, 89)(7, 103)(8, 90)(9, 105)(10, 91)(11, 107)(12, 93)(13, 109)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 100)(21, 117)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 108)(29, 125)(30, 110)(31, 127)(32, 112)(33, 129)(34, 114)(35, 128)(36, 116)(37, 132)(38, 118)(39, 126)(40, 120)(41, 131)(42, 122)(43, 124)(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) :: { ( 8, 22, 8, 22 ), ( 8, 22, 8, 22, 8, 22, 8, 22 ) }
Outer automorphisms :: reflexible
Dual of E21.799
Graph:: bipartite
	v = 33 e = 88 f = 15
	degree seq :: [ 4^22, 8^11 ]

E21.799 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 11})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2 * Y1, (Y3^-1 * Y2)^2, Y2^-1 * Y1^2 * Y3, Y2^-1 * Y3 * Y1^-2, (R * Y1)^2, Y1^4, (R * Y2)^2, Y3^2 * Y2^-2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^2 * Y2^9 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 8, 52, 5, 49)(3, 47, 11, 55, 4, 48, 12, 56)(6, 50, 9, 53, 7, 51, 10, 54)(13, 57, 19, 63, 14, 58, 20, 64)(15, 59, 17, 61, 16, 60, 18, 62)(21, 65, 27, 71, 22, 66, 28, 72)(23, 67, 25, 69, 24, 68, 26, 70)(29, 73, 35, 79, 30, 74, 36, 80)(31, 75, 33, 77, 32, 76, 34, 78)(37, 81, 43, 87, 38, 82, 44, 88)(39, 83, 41, 85, 40, 84, 42, 86)(89, 133, 91, 135, 101, 145, 109, 153, 117, 161, 125, 169, 127, 171, 119, 163, 111, 155, 103, 147, 94, 138)(90, 134, 97, 141, 105, 149, 113, 157, 121, 165, 129, 173, 131, 175, 123, 167, 115, 159, 107, 151, 99, 143)(92, 136, 102, 146, 110, 154, 118, 162, 126, 170, 128, 172, 120, 164, 112, 156, 104, 148, 95, 139, 96, 140)(93, 137, 98, 142, 106, 150, 114, 158, 122, 166, 130, 174, 132, 176, 124, 168, 116, 160, 108, 152, 100, 144)
	L = (1, 92)(2, 98)(3, 102)(4, 101)(5, 97)(6, 96)(7, 89)(8, 91)(9, 106)(10, 105)(11, 93)(12, 90)(13, 110)(14, 109)(15, 95)(16, 94)(17, 114)(18, 113)(19, 100)(20, 99)(21, 118)(22, 117)(23, 104)(24, 103)(25, 122)(26, 121)(27, 108)(28, 107)(29, 126)(30, 125)(31, 112)(32, 111)(33, 130)(34, 129)(35, 116)(36, 115)(37, 128)(38, 127)(39, 120)(40, 119)(41, 132)(42, 131)(43, 124)(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) :: { ( 4, 8, 4, 8, 4, 8, 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 E21.798
Graph:: bipartite
	v = 15 e = 88 f = 33
	degree seq :: [ 8^11, 22^4 ]

E21.800 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: halfedge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y1)^2, Y1^22 ]
Map::
	R = (1, 46, 2, 49, 5, 53, 9, 57, 13, 61, 17, 65, 21, 69, 25, 73, 29, 77, 33, 81, 37, 85, 41, 84, 40, 80, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 45)(3, 51, 7, 55, 11, 59, 15, 63, 19, 67, 23, 71, 27, 75, 31, 79, 35, 83, 39, 87, 43, 88, 44, 86, 42, 82, 38, 78, 34, 74, 30, 70, 26, 66, 22, 62, 18, 58, 14, 54, 10, 50, 6, 47)
	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, 44)(45, 47)(46, 50)(48, 51)(49, 54)(52, 55)(53, 58)(56, 59)(57, 62)(60, 63)(61, 66)(64, 67)(65, 70)(68, 71)(69, 74)(72, 75)(73, 78)(76, 79)(77, 82)(80, 83)(81, 86)(84, 87)(85, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.801 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: halfedge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, R * Y3 * R * Y2, Y1^2 * Y2 * Y1^-1 * Y3 * Y1, Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^22 ]
Map:: non-degenerate
	R = (1, 46, 2, 50, 6, 58, 14, 56, 12, 62, 18, 68, 24, 75, 31, 74, 30, 78, 34, 84, 40, 88, 44, 87, 43, 80, 36, 73, 29, 77, 33, 71, 27, 64, 20, 54, 10, 61, 17, 57, 13, 49, 5, 45)(3, 53, 9, 63, 19, 69, 25, 65, 21, 72, 28, 79, 35, 85, 41, 81, 37, 86, 42, 82, 38, 83, 39, 76, 32, 70, 26, 66, 22, 67, 23, 60, 16, 52, 8, 48, 4, 55, 11, 59, 15, 51, 7, 47)
	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, 42)(38, 43)(39, 44)(45, 48)(46, 52)(47, 54)(49, 55)(50, 60)(51, 61)(53, 64)(56, 66)(57, 59)(58, 67)(62, 70)(63, 71)(65, 73)(68, 76)(69, 77)(72, 80)(74, 82)(75, 83)(78, 86)(79, 87)(81, 84)(85, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.803
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.802 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: halfedge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1^-3, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 46, 2, 50, 6, 58, 14, 54, 10, 61, 17, 68, 24, 75, 31, 71, 27, 77, 33, 84, 40, 88, 44, 87, 43, 81, 37, 74, 30, 78, 34, 72, 28, 65, 21, 56, 12, 62, 18, 57, 13, 49, 5, 45)(3, 53, 9, 60, 16, 52, 8, 48, 4, 55, 11, 64, 20, 70, 26, 66, 22, 73, 29, 80, 36, 86, 42, 82, 38, 85, 41, 79, 35, 83, 39, 76, 32, 69, 25, 63, 19, 67, 23, 59, 15, 51, 7, 47)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 28)(22, 30)(24, 32)(26, 34)(27, 35)(29, 37)(31, 39)(33, 41)(36, 43)(38, 40)(42, 44)(45, 48)(46, 52)(47, 54)(49, 55)(50, 60)(51, 61)(53, 58)(56, 66)(57, 64)(59, 68)(62, 70)(63, 71)(65, 73)(67, 75)(69, 77)(72, 80)(74, 82)(76, 84)(78, 86)(79, 87)(81, 85)(83, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.804
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.803 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: halfedge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^2 * Y2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-5, (Y2 * Y1 * Y3)^22 ]
Map:: non-degenerate
	R = (1, 46, 2, 50, 6, 58, 14, 70, 26, 83, 39, 80, 36, 67, 23, 56, 12, 62, 18, 74, 30, 87, 43, 78, 34, 64, 20, 54, 10, 61, 17, 73, 29, 86, 42, 82, 38, 69, 25, 57, 13, 49, 5, 45)(3, 53, 9, 63, 19, 77, 33, 88, 44, 76, 32, 68, 24, 75, 31, 65, 21, 79, 35, 85, 41, 72, 28, 60, 16, 52, 8, 48, 4, 55, 11, 66, 22, 81, 37, 84, 40, 71, 27, 59, 15, 51, 7, 47)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 36)(24, 29)(25, 33)(26, 40)(28, 43)(32, 42)(34, 41)(37, 39)(38, 44)(45, 48)(46, 52)(47, 54)(49, 55)(50, 60)(51, 61)(53, 64)(56, 68)(57, 66)(58, 72)(59, 73)(62, 76)(63, 78)(65, 80)(67, 75)(69, 81)(70, 85)(71, 86)(74, 88)(77, 87)(79, 83)(82, 84)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.801
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.804 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: halfedge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y1^-8 ]
Map:: non-degenerate
	R = (1, 46, 2, 50, 6, 58, 14, 70, 26, 83, 39, 78, 34, 64, 20, 54, 10, 61, 17, 73, 29, 86, 42, 80, 36, 67, 23, 56, 12, 62, 18, 74, 30, 87, 43, 82, 38, 69, 25, 57, 13, 49, 5, 45)(3, 53, 9, 63, 19, 77, 33, 85, 41, 72, 28, 60, 16, 52, 8, 48, 4, 55, 11, 66, 22, 79, 35, 88, 44, 75, 31, 65, 21, 76, 32, 68, 24, 81, 37, 84, 40, 71, 27, 59, 15, 51, 7, 47)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 32)(22, 36)(24, 34)(25, 33)(26, 40)(28, 43)(29, 44)(35, 42)(37, 39)(38, 41)(45, 48)(46, 52)(47, 54)(49, 55)(50, 60)(51, 61)(53, 64)(56, 68)(57, 66)(58, 72)(59, 73)(62, 76)(63, 78)(65, 74)(67, 81)(69, 79)(70, 85)(71, 86)(75, 87)(77, 83)(80, 84)(82, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.802
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.805 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: edge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|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, Y3^22 ]
Map::
	R = (1, 45, 3, 47, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 83, 43, 87, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)(2, 46, 5, 49, 9, 53, 13, 57, 17, 61, 21, 65, 25, 69, 29, 73, 33, 77, 37, 81, 41, 85, 44, 88, 42, 86, 38, 82, 34, 78, 30, 74, 26, 70, 22, 66, 18, 62, 14, 58, 10, 54, 6, 50)(89, 90)(91, 94)(92, 93)(95, 98)(96, 97)(99, 102)(100, 101)(103, 106)(104, 105)(107, 110)(108, 109)(111, 114)(112, 113)(115, 118)(116, 117)(119, 122)(120, 121)(123, 126)(124, 125)(127, 130)(128, 129)(131, 132)(133, 134)(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, 166)(164, 165)(167, 170)(168, 169)(171, 174)(172, 173)(175, 176)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.811
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.806 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: edge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3^3 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 45, 4, 48, 12, 56, 21, 65, 9, 53, 20, 64, 30, 74, 37, 81, 27, 71, 36, 80, 39, 83, 44, 88, 42, 86, 33, 77, 23, 67, 32, 76, 26, 70, 16, 60, 6, 50, 15, 59, 13, 57, 5, 49)(2, 46, 7, 51, 17, 61, 25, 69, 14, 58, 24, 68, 34, 78, 41, 85, 31, 75, 40, 84, 35, 79, 43, 87, 38, 82, 29, 73, 19, 63, 28, 72, 22, 66, 11, 55, 3, 47, 10, 54, 18, 62, 8, 52)(89, 90)(91, 97)(92, 96)(93, 95)(94, 102)(98, 109)(99, 108)(100, 106)(101, 105)(103, 113)(104, 112)(107, 115)(110, 118)(111, 119)(114, 122)(116, 125)(117, 124)(120, 129)(121, 128)(123, 130)(126, 127)(131, 132)(133, 135)(134, 138)(136, 143)(137, 142)(139, 148)(140, 147)(141, 151)(144, 154)(145, 150)(146, 155)(149, 158)(152, 161)(153, 160)(156, 165)(157, 164)(159, 167)(162, 170)(163, 171)(166, 174)(168, 172)(169, 175)(173, 176)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.814
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.807 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: edge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3^-3 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^22 ]
Map::
	R = (1, 45, 4, 48, 12, 56, 16, 60, 6, 50, 15, 59, 26, 70, 33, 77, 23, 67, 32, 76, 42, 86, 44, 88, 39, 83, 37, 81, 27, 71, 36, 80, 30, 74, 21, 65, 9, 53, 20, 64, 13, 57, 5, 49)(2, 46, 7, 51, 17, 61, 11, 55, 3, 47, 10, 54, 22, 66, 29, 73, 19, 63, 28, 72, 38, 82, 43, 87, 35, 79, 41, 85, 31, 75, 40, 84, 34, 78, 25, 69, 14, 58, 24, 68, 18, 62, 8, 52)(89, 90)(91, 97)(92, 96)(93, 95)(94, 102)(98, 109)(99, 108)(100, 106)(101, 105)(103, 113)(104, 112)(107, 115)(110, 118)(111, 119)(114, 122)(116, 125)(117, 124)(120, 129)(121, 128)(123, 130)(126, 127)(131, 132)(133, 135)(134, 138)(136, 143)(137, 142)(139, 148)(140, 147)(141, 151)(144, 149)(145, 154)(146, 155)(150, 158)(152, 161)(153, 160)(156, 165)(157, 164)(159, 167)(162, 170)(163, 171)(166, 174)(168, 175)(169, 173)(172, 176)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.815
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.808 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: edge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^5 * Y2 * Y1, (Y3 * Y1 * Y2)^22 ]
Map::
	R = (1, 45, 4, 48, 12, 56, 24, 68, 37, 81, 39, 83, 26, 70, 21, 65, 9, 53, 20, 64, 34, 78, 42, 86, 30, 74, 16, 60, 6, 50, 15, 59, 29, 73, 41, 85, 38, 82, 25, 69, 13, 57, 5, 49)(2, 46, 7, 51, 17, 61, 31, 75, 43, 87, 33, 77, 19, 63, 28, 72, 14, 58, 27, 71, 40, 84, 36, 80, 23, 67, 11, 55, 3, 47, 10, 54, 22, 66, 35, 79, 44, 88, 32, 76, 18, 62, 8, 52)(89, 90)(91, 97)(92, 96)(93, 95)(94, 102)(98, 109)(99, 108)(100, 106)(101, 105)(103, 116)(104, 115)(107, 117)(110, 114)(111, 122)(112, 120)(113, 119)(118, 128)(121, 129)(123, 127)(124, 130)(125, 132)(126, 131)(133, 135)(134, 138)(136, 143)(137, 142)(139, 148)(140, 147)(141, 151)(144, 155)(145, 154)(146, 158)(149, 162)(150, 161)(152, 165)(153, 160)(156, 168)(157, 167)(159, 171)(163, 174)(164, 173)(166, 175)(169, 172)(170, 176)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.812
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.809 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: edge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-2 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^4 * Y1, Y3^3 * Y2 * Y3^-5 * Y1, Y3^3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 45, 4, 48, 12, 56, 24, 68, 37, 81, 42, 86, 30, 74, 16, 60, 6, 50, 15, 59, 29, 73, 41, 85, 34, 78, 21, 65, 9, 53, 20, 64, 26, 70, 39, 83, 38, 82, 25, 69, 13, 57, 5, 49)(2, 46, 7, 51, 17, 61, 31, 75, 43, 87, 36, 80, 23, 67, 11, 55, 3, 47, 10, 54, 22, 66, 35, 79, 40, 84, 28, 72, 14, 58, 27, 71, 19, 63, 33, 77, 44, 88, 32, 76, 18, 62, 8, 52)(89, 90)(91, 97)(92, 96)(93, 95)(94, 102)(98, 109)(99, 108)(100, 106)(101, 105)(103, 116)(104, 115)(107, 118)(110, 122)(111, 114)(112, 120)(113, 119)(117, 128)(121, 130)(123, 129)(124, 127)(125, 132)(126, 131)(133, 135)(134, 138)(136, 143)(137, 142)(139, 148)(140, 147)(141, 151)(144, 155)(145, 154)(146, 158)(149, 162)(150, 161)(152, 159)(153, 165)(156, 168)(157, 167)(160, 171)(163, 174)(164, 173)(166, 176)(169, 175)(170, 172)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.813
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.810 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 22, 22})
Quotient :: edge^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^22, Y2^22 ]
Map:: non-degenerate
	R = (1, 45, 4, 48)(2, 46, 6, 50)(3, 47, 8, 52)(5, 49, 10, 54)(7, 51, 12, 56)(9, 53, 14, 58)(11, 55, 16, 60)(13, 57, 18, 62)(15, 59, 20, 64)(17, 61, 22, 66)(19, 63, 24, 68)(21, 65, 26, 70)(23, 67, 28, 72)(25, 69, 30, 74)(27, 71, 32, 76)(29, 73, 34, 78)(31, 75, 36, 80)(33, 77, 38, 82)(35, 79, 40, 84)(37, 81, 42, 86)(39, 83, 43, 87)(41, 85, 44, 88)(89, 90, 93, 97, 101, 105, 109, 113, 117, 121, 125, 129, 127, 123, 119, 115, 111, 107, 103, 99, 95, 91)(92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 131, 132, 130, 126, 122, 118, 114, 110, 106, 102, 98, 94)(133, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 173, 169, 165, 161, 157, 153, 149, 145, 141, 137, 134)(136, 138, 142, 146, 150, 154, 158, 162, 166, 170, 174, 176, 175, 172, 168, 164, 160, 156, 152, 148, 144, 140)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 8^4 ), ( 8^22 ) }
Outer automorphisms :: reflexible
Dual of E21.816
Graph:: simple bipartite
	v = 26 e = 88 f = 22
	degree seq :: [ 4^22, 22^4 ]

E21.811 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 22, 22})
Quotient :: loop^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|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, Y3^22 ]
Map::
	R = (1, 45, 89, 133, 3, 47, 91, 135, 7, 51, 95, 139, 11, 55, 99, 143, 15, 59, 103, 147, 19, 63, 107, 151, 23, 67, 111, 155, 27, 71, 115, 159, 31, 75, 119, 163, 35, 79, 123, 167, 39, 83, 127, 171, 43, 87, 131, 175, 40, 84, 128, 172, 36, 80, 124, 168, 32, 76, 120, 164, 28, 72, 116, 160, 24, 68, 112, 156, 20, 64, 108, 152, 16, 60, 104, 148, 12, 56, 100, 144, 8, 52, 96, 140, 4, 48, 92, 136)(2, 46, 90, 134, 5, 49, 93, 137, 9, 53, 97, 141, 13, 57, 101, 145, 17, 61, 105, 149, 21, 65, 109, 153, 25, 69, 113, 157, 29, 73, 117, 161, 33, 77, 121, 165, 37, 81, 125, 169, 41, 85, 129, 173, 44, 88, 132, 176, 42, 86, 130, 174, 38, 82, 126, 170, 34, 78, 122, 166, 30, 74, 118, 162, 26, 70, 114, 158, 22, 66, 110, 154, 18, 62, 106, 150, 14, 58, 102, 146, 10, 54, 98, 142, 6, 50, 94, 138)
	L = (1, 46)(2, 45)(3, 50)(4, 49)(5, 48)(6, 47)(7, 54)(8, 53)(9, 52)(10, 51)(11, 58)(12, 57)(13, 56)(14, 55)(15, 62)(16, 61)(17, 60)(18, 59)(19, 66)(20, 65)(21, 64)(22, 63)(23, 70)(24, 69)(25, 68)(26, 67)(27, 74)(28, 73)(29, 72)(30, 71)(31, 78)(32, 77)(33, 76)(34, 75)(35, 82)(36, 81)(37, 80)(38, 79)(39, 86)(40, 85)(41, 84)(42, 83)(43, 88)(44, 87)(89, 134)(90, 133)(91, 138)(92, 137)(93, 136)(94, 135)(95, 142)(96, 141)(97, 140)(98, 139)(99, 146)(100, 145)(101, 144)(102, 143)(103, 150)(104, 149)(105, 148)(106, 147)(107, 154)(108, 153)(109, 152)(110, 151)(111, 158)(112, 157)(113, 156)(114, 155)(115, 162)(116, 161)(117, 160)(118, 159)(119, 166)(120, 165)(121, 164)(122, 163)(123, 170)(124, 169)(125, 168)(126, 167)(127, 174)(128, 173)(129, 172)(130, 171)(131, 176)(132, 175)
	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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.805
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.812 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 22, 22})
Quotient :: loop^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3^3 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 45, 89, 133, 4, 48, 92, 136, 12, 56, 100, 144, 21, 65, 109, 153, 9, 53, 97, 141, 20, 64, 108, 152, 30, 74, 118, 162, 37, 81, 125, 169, 27, 71, 115, 159, 36, 80, 124, 168, 39, 83, 127, 171, 44, 88, 132, 176, 42, 86, 130, 174, 33, 77, 121, 165, 23, 67, 111, 155, 32, 76, 120, 164, 26, 70, 114, 158, 16, 60, 104, 148, 6, 50, 94, 138, 15, 59, 103, 147, 13, 57, 101, 145, 5, 49, 93, 137)(2, 46, 90, 134, 7, 51, 95, 139, 17, 61, 105, 149, 25, 69, 113, 157, 14, 58, 102, 146, 24, 68, 112, 156, 34, 78, 122, 166, 41, 85, 129, 173, 31, 75, 119, 163, 40, 84, 128, 172, 35, 79, 123, 167, 43, 87, 131, 175, 38, 82, 126, 170, 29, 73, 117, 161, 19, 63, 107, 151, 28, 72, 116, 160, 22, 66, 110, 154, 11, 55, 99, 143, 3, 47, 91, 135, 10, 54, 98, 142, 18, 62, 106, 150, 8, 52, 96, 140)
	L = (1, 46)(2, 45)(3, 53)(4, 52)(5, 51)(6, 58)(7, 49)(8, 48)(9, 47)(10, 65)(11, 64)(12, 62)(13, 61)(14, 50)(15, 69)(16, 68)(17, 57)(18, 56)(19, 71)(20, 55)(21, 54)(22, 74)(23, 75)(24, 60)(25, 59)(26, 78)(27, 63)(28, 81)(29, 80)(30, 66)(31, 67)(32, 85)(33, 84)(34, 70)(35, 86)(36, 73)(37, 72)(38, 83)(39, 82)(40, 77)(41, 76)(42, 79)(43, 88)(44, 87)(89, 135)(90, 138)(91, 133)(92, 143)(93, 142)(94, 134)(95, 148)(96, 147)(97, 151)(98, 137)(99, 136)(100, 154)(101, 150)(102, 155)(103, 140)(104, 139)(105, 158)(106, 145)(107, 141)(108, 161)(109, 160)(110, 144)(111, 146)(112, 165)(113, 164)(114, 149)(115, 167)(116, 153)(117, 152)(118, 170)(119, 171)(120, 157)(121, 156)(122, 174)(123, 159)(124, 172)(125, 175)(126, 162)(127, 163)(128, 168)(129, 176)(130, 166)(131, 169)(132, 173)
	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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.808
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.813 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 22, 22})
Quotient :: loop^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3^-3 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^22 ]
Map::
	R = (1, 45, 89, 133, 4, 48, 92, 136, 12, 56, 100, 144, 16, 60, 104, 148, 6, 50, 94, 138, 15, 59, 103, 147, 26, 70, 114, 158, 33, 77, 121, 165, 23, 67, 111, 155, 32, 76, 120, 164, 42, 86, 130, 174, 44, 88, 132, 176, 39, 83, 127, 171, 37, 81, 125, 169, 27, 71, 115, 159, 36, 80, 124, 168, 30, 74, 118, 162, 21, 65, 109, 153, 9, 53, 97, 141, 20, 64, 108, 152, 13, 57, 101, 145, 5, 49, 93, 137)(2, 46, 90, 134, 7, 51, 95, 139, 17, 61, 105, 149, 11, 55, 99, 143, 3, 47, 91, 135, 10, 54, 98, 142, 22, 66, 110, 154, 29, 73, 117, 161, 19, 63, 107, 151, 28, 72, 116, 160, 38, 82, 126, 170, 43, 87, 131, 175, 35, 79, 123, 167, 41, 85, 129, 173, 31, 75, 119, 163, 40, 84, 128, 172, 34, 78, 122, 166, 25, 69, 113, 157, 14, 58, 102, 146, 24, 68, 112, 156, 18, 62, 106, 150, 8, 52, 96, 140)
	L = (1, 46)(2, 45)(3, 53)(4, 52)(5, 51)(6, 58)(7, 49)(8, 48)(9, 47)(10, 65)(11, 64)(12, 62)(13, 61)(14, 50)(15, 69)(16, 68)(17, 57)(18, 56)(19, 71)(20, 55)(21, 54)(22, 74)(23, 75)(24, 60)(25, 59)(26, 78)(27, 63)(28, 81)(29, 80)(30, 66)(31, 67)(32, 85)(33, 84)(34, 70)(35, 86)(36, 73)(37, 72)(38, 83)(39, 82)(40, 77)(41, 76)(42, 79)(43, 88)(44, 87)(89, 135)(90, 138)(91, 133)(92, 143)(93, 142)(94, 134)(95, 148)(96, 147)(97, 151)(98, 137)(99, 136)(100, 149)(101, 154)(102, 155)(103, 140)(104, 139)(105, 144)(106, 158)(107, 141)(108, 161)(109, 160)(110, 145)(111, 146)(112, 165)(113, 164)(114, 150)(115, 167)(116, 153)(117, 152)(118, 170)(119, 171)(120, 157)(121, 156)(122, 174)(123, 159)(124, 175)(125, 173)(126, 162)(127, 163)(128, 176)(129, 169)(130, 166)(131, 168)(132, 172)
	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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.809
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.814 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 22, 22})
Quotient :: loop^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^5 * Y2 * Y1, (Y3 * Y1 * Y2)^22 ]
Map::
	R = (1, 45, 89, 133, 4, 48, 92, 136, 12, 56, 100, 144, 24, 68, 112, 156, 37, 81, 125, 169, 39, 83, 127, 171, 26, 70, 114, 158, 21, 65, 109, 153, 9, 53, 97, 141, 20, 64, 108, 152, 34, 78, 122, 166, 42, 86, 130, 174, 30, 74, 118, 162, 16, 60, 104, 148, 6, 50, 94, 138, 15, 59, 103, 147, 29, 73, 117, 161, 41, 85, 129, 173, 38, 82, 126, 170, 25, 69, 113, 157, 13, 57, 101, 145, 5, 49, 93, 137)(2, 46, 90, 134, 7, 51, 95, 139, 17, 61, 105, 149, 31, 75, 119, 163, 43, 87, 131, 175, 33, 77, 121, 165, 19, 63, 107, 151, 28, 72, 116, 160, 14, 58, 102, 146, 27, 71, 115, 159, 40, 84, 128, 172, 36, 80, 124, 168, 23, 67, 111, 155, 11, 55, 99, 143, 3, 47, 91, 135, 10, 54, 98, 142, 22, 66, 110, 154, 35, 79, 123, 167, 44, 88, 132, 176, 32, 76, 120, 164, 18, 62, 106, 150, 8, 52, 96, 140)
	L = (1, 46)(2, 45)(3, 53)(4, 52)(5, 51)(6, 58)(7, 49)(8, 48)(9, 47)(10, 65)(11, 64)(12, 62)(13, 61)(14, 50)(15, 72)(16, 71)(17, 57)(18, 56)(19, 73)(20, 55)(21, 54)(22, 70)(23, 78)(24, 76)(25, 75)(26, 66)(27, 60)(28, 59)(29, 63)(30, 84)(31, 69)(32, 68)(33, 85)(34, 67)(35, 83)(36, 86)(37, 88)(38, 87)(39, 79)(40, 74)(41, 77)(42, 80)(43, 82)(44, 81)(89, 135)(90, 138)(91, 133)(92, 143)(93, 142)(94, 134)(95, 148)(96, 147)(97, 151)(98, 137)(99, 136)(100, 155)(101, 154)(102, 158)(103, 140)(104, 139)(105, 162)(106, 161)(107, 141)(108, 165)(109, 160)(110, 145)(111, 144)(112, 168)(113, 167)(114, 146)(115, 171)(116, 153)(117, 150)(118, 149)(119, 174)(120, 173)(121, 152)(122, 175)(123, 157)(124, 156)(125, 172)(126, 176)(127, 159)(128, 169)(129, 164)(130, 163)(131, 166)(132, 170)
	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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.806
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.815 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 22, 22})
Quotient :: loop^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-2 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^4 * Y1, Y3^3 * Y2 * Y3^-5 * Y1, Y3^3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 45, 89, 133, 4, 48, 92, 136, 12, 56, 100, 144, 24, 68, 112, 156, 37, 81, 125, 169, 42, 86, 130, 174, 30, 74, 118, 162, 16, 60, 104, 148, 6, 50, 94, 138, 15, 59, 103, 147, 29, 73, 117, 161, 41, 85, 129, 173, 34, 78, 122, 166, 21, 65, 109, 153, 9, 53, 97, 141, 20, 64, 108, 152, 26, 70, 114, 158, 39, 83, 127, 171, 38, 82, 126, 170, 25, 69, 113, 157, 13, 57, 101, 145, 5, 49, 93, 137)(2, 46, 90, 134, 7, 51, 95, 139, 17, 61, 105, 149, 31, 75, 119, 163, 43, 87, 131, 175, 36, 80, 124, 168, 23, 67, 111, 155, 11, 55, 99, 143, 3, 47, 91, 135, 10, 54, 98, 142, 22, 66, 110, 154, 35, 79, 123, 167, 40, 84, 128, 172, 28, 72, 116, 160, 14, 58, 102, 146, 27, 71, 115, 159, 19, 63, 107, 151, 33, 77, 121, 165, 44, 88, 132, 176, 32, 76, 120, 164, 18, 62, 106, 150, 8, 52, 96, 140)
	L = (1, 46)(2, 45)(3, 53)(4, 52)(5, 51)(6, 58)(7, 49)(8, 48)(9, 47)(10, 65)(11, 64)(12, 62)(13, 61)(14, 50)(15, 72)(16, 71)(17, 57)(18, 56)(19, 74)(20, 55)(21, 54)(22, 78)(23, 70)(24, 76)(25, 75)(26, 67)(27, 60)(28, 59)(29, 84)(30, 63)(31, 69)(32, 68)(33, 86)(34, 66)(35, 85)(36, 83)(37, 88)(38, 87)(39, 80)(40, 73)(41, 79)(42, 77)(43, 82)(44, 81)(89, 135)(90, 138)(91, 133)(92, 143)(93, 142)(94, 134)(95, 148)(96, 147)(97, 151)(98, 137)(99, 136)(100, 155)(101, 154)(102, 158)(103, 140)(104, 139)(105, 162)(106, 161)(107, 141)(108, 159)(109, 165)(110, 145)(111, 144)(112, 168)(113, 167)(114, 146)(115, 152)(116, 171)(117, 150)(118, 149)(119, 174)(120, 173)(121, 153)(122, 176)(123, 157)(124, 156)(125, 175)(126, 172)(127, 160)(128, 170)(129, 164)(130, 163)(131, 169)(132, 166)
	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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.807
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.816 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 22, 22})
Quotient :: loop^2
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^22, Y2^22 ]
Map:: non-degenerate
	R = (1, 45, 89, 133, 4, 48, 92, 136)(2, 46, 90, 134, 6, 50, 94, 138)(3, 47, 91, 135, 8, 52, 96, 140)(5, 49, 93, 137, 10, 54, 98, 142)(7, 51, 95, 139, 12, 56, 100, 144)(9, 53, 97, 141, 14, 58, 102, 146)(11, 55, 99, 143, 16, 60, 104, 148)(13, 57, 101, 145, 18, 62, 106, 150)(15, 59, 103, 147, 20, 64, 108, 152)(17, 61, 105, 149, 22, 66, 110, 154)(19, 63, 107, 151, 24, 68, 112, 156)(21, 65, 109, 153, 26, 70, 114, 158)(23, 67, 111, 155, 28, 72, 116, 160)(25, 69, 113, 157, 30, 74, 118, 162)(27, 71, 115, 159, 32, 76, 120, 164)(29, 73, 117, 161, 34, 78, 122, 166)(31, 75, 119, 163, 36, 80, 124, 168)(33, 77, 121, 165, 38, 82, 126, 170)(35, 79, 123, 167, 40, 84, 128, 172)(37, 81, 125, 169, 42, 86, 130, 174)(39, 83, 127, 171, 43, 87, 131, 175)(41, 85, 129, 173, 44, 88, 132, 176)
	L = (1, 46)(2, 49)(3, 45)(4, 52)(5, 53)(6, 48)(7, 47)(8, 56)(9, 57)(10, 50)(11, 51)(12, 60)(13, 61)(14, 54)(15, 55)(16, 64)(17, 65)(18, 58)(19, 59)(20, 68)(21, 69)(22, 62)(23, 63)(24, 72)(25, 73)(26, 66)(27, 67)(28, 76)(29, 77)(30, 70)(31, 71)(32, 80)(33, 81)(34, 74)(35, 75)(36, 84)(37, 85)(38, 78)(39, 79)(40, 87)(41, 83)(42, 82)(43, 88)(44, 86)(89, 135)(90, 133)(91, 139)(92, 138)(93, 134)(94, 142)(95, 143)(96, 136)(97, 137)(98, 146)(99, 147)(100, 140)(101, 141)(102, 150)(103, 151)(104, 144)(105, 145)(106, 154)(107, 155)(108, 148)(109, 149)(110, 158)(111, 159)(112, 152)(113, 153)(114, 162)(115, 163)(116, 156)(117, 157)(118, 166)(119, 167)(120, 160)(121, 161)(122, 170)(123, 171)(124, 164)(125, 165)(126, 174)(127, 173)(128, 168)(129, 169)(130, 176)(131, 172)(132, 175)
	local type(s) :: { ( 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E21.810
Transitivity :: VT+
Graph:: bipartite
	v = 22 e = 88 f = 26
	degree seq :: [ 8^22 ]

E21.817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ 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, Y2^22, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 6, 50)(7, 51, 9, 53)(8, 52, 10, 54)(11, 55, 13, 57)(12, 56, 14, 58)(15, 59, 17, 61)(16, 60, 18, 62)(19, 63, 21, 65)(20, 64, 22, 66)(23, 67, 25, 69)(24, 68, 26, 70)(27, 71, 29, 73)(28, 72, 30, 74)(31, 75, 33, 77)(32, 76, 34, 78)(35, 79, 37, 81)(36, 80, 38, 82)(39, 83, 41, 85)(40, 84, 42, 86)(43, 87, 44, 88)(89, 133, 91, 135, 95, 139, 99, 143, 103, 147, 107, 151, 111, 155, 115, 159, 119, 163, 123, 167, 127, 171, 131, 175, 128, 172, 124, 168, 120, 164, 116, 160, 112, 156, 108, 152, 104, 148, 100, 144, 96, 140, 92, 136)(90, 134, 93, 137, 97, 141, 101, 145, 105, 149, 109, 153, 113, 157, 117, 161, 121, 165, 125, 169, 129, 173, 132, 176, 130, 174, 126, 170, 122, 166, 118, 162, 114, 158, 110, 154, 106, 150, 102, 146, 98, 142, 94, 138)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ 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, Y2^22, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 45, 2, 46)(3, 47, 6, 50)(4, 48, 5, 49)(7, 51, 10, 54)(8, 52, 9, 53)(11, 55, 14, 58)(12, 56, 13, 57)(15, 59, 18, 62)(16, 60, 17, 61)(19, 63, 22, 66)(20, 64, 21, 65)(23, 67, 26, 70)(24, 68, 25, 69)(27, 71, 30, 74)(28, 72, 29, 73)(31, 75, 34, 78)(32, 76, 33, 77)(35, 79, 38, 82)(36, 80, 37, 81)(39, 83, 42, 86)(40, 84, 41, 85)(43, 87, 44, 88)(89, 133, 91, 135, 95, 139, 99, 143, 103, 147, 107, 151, 111, 155, 115, 159, 119, 163, 123, 167, 127, 171, 131, 175, 128, 172, 124, 168, 120, 164, 116, 160, 112, 156, 108, 152, 104, 148, 100, 144, 96, 140, 92, 136)(90, 134, 93, 137, 97, 141, 101, 145, 105, 149, 109, 153, 113, 157, 117, 161, 121, 165, 125, 169, 129, 173, 132, 176, 130, 174, 126, 170, 122, 166, 118, 162, 114, 158, 110, 154, 106, 150, 102, 146, 98, 142, 94, 138)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^11 * Y1 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 6, 50)(4, 48, 7, 51)(5, 49, 8, 52)(9, 53, 13, 57)(10, 54, 14, 58)(11, 55, 15, 59)(12, 56, 16, 60)(17, 61, 21, 65)(18, 62, 22, 66)(19, 63, 23, 67)(20, 64, 24, 68)(25, 69, 29, 73)(26, 70, 30, 74)(27, 71, 31, 75)(28, 72, 32, 76)(33, 77, 37, 81)(34, 78, 38, 82)(35, 79, 39, 83)(36, 80, 40, 84)(41, 85, 43, 87)(42, 86, 44, 88)(89, 133, 91, 135, 97, 141, 105, 149, 113, 157, 121, 165, 128, 172, 120, 164, 112, 156, 104, 148, 96, 140, 90, 134, 94, 138, 101, 145, 109, 153, 117, 161, 125, 169, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137)(92, 136, 98, 142, 106, 150, 114, 158, 122, 166, 129, 173, 132, 176, 127, 171, 119, 163, 111, 155, 103, 147, 95, 139, 102, 146, 110, 154, 118, 162, 126, 170, 131, 175, 130, 174, 123, 167, 115, 159, 107, 151, 99, 143)
	L = (1, 92)(2, 95)(3, 98)(4, 89)(5, 99)(6, 102)(7, 90)(8, 103)(9, 106)(10, 91)(11, 93)(12, 107)(13, 110)(14, 94)(15, 96)(16, 111)(17, 114)(18, 97)(19, 100)(20, 115)(21, 118)(22, 101)(23, 104)(24, 119)(25, 122)(26, 105)(27, 108)(28, 123)(29, 126)(30, 109)(31, 112)(32, 127)(33, 129)(34, 113)(35, 116)(36, 130)(37, 131)(38, 117)(39, 120)(40, 132)(41, 121)(42, 124)(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) :: { ( 4, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = C22 x C2 (small group id <44, 4>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2^-1 * Y1 * Y2, Y2^11 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 6, 50)(4, 48, 7, 51)(5, 49, 8, 52)(9, 53, 13, 57)(10, 54, 14, 58)(11, 55, 15, 59)(12, 56, 16, 60)(17, 61, 21, 65)(18, 62, 22, 66)(19, 63, 23, 67)(20, 64, 24, 68)(25, 69, 29, 73)(26, 70, 30, 74)(27, 71, 31, 75)(28, 72, 32, 76)(33, 77, 37, 81)(34, 78, 38, 82)(35, 79, 39, 83)(36, 80, 40, 84)(41, 85, 43, 87)(42, 86, 44, 88)(89, 133, 91, 135, 97, 141, 105, 149, 113, 157, 121, 165, 129, 173, 127, 171, 119, 163, 111, 155, 103, 147, 95, 139, 102, 146, 110, 154, 118, 162, 126, 170, 132, 176, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137)(90, 134, 94, 138, 101, 145, 109, 153, 117, 161, 125, 169, 131, 175, 123, 167, 115, 159, 107, 151, 99, 143, 92, 136, 98, 142, 106, 150, 114, 158, 122, 166, 130, 174, 128, 172, 120, 164, 112, 156, 104, 148, 96, 140)
	L = (1, 92)(2, 95)(3, 98)(4, 89)(5, 99)(6, 102)(7, 90)(8, 103)(9, 106)(10, 91)(11, 93)(12, 107)(13, 110)(14, 94)(15, 96)(16, 111)(17, 114)(18, 97)(19, 100)(20, 115)(21, 118)(22, 101)(23, 104)(24, 119)(25, 122)(26, 105)(27, 108)(28, 123)(29, 126)(30, 109)(31, 112)(32, 127)(33, 130)(34, 113)(35, 116)(36, 131)(37, 132)(38, 117)(39, 120)(40, 129)(41, 128)(42, 121)(43, 124)(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) :: { ( 4, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^2, (Y3^-1 * Y2^-1)^2, Y2^-2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, Y2^-2 * Y3^9, (Y3 * Y2^-1)^22 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 19, 63)(12, 56, 17, 61)(13, 57, 20, 64)(14, 58, 16, 60)(15, 59, 18, 62)(21, 65, 28, 72)(22, 66, 27, 71)(23, 67, 26, 70)(24, 68, 25, 69)(29, 73, 35, 79)(30, 74, 36, 80)(31, 75, 33, 77)(32, 76, 34, 78)(37, 81, 44, 88)(38, 82, 43, 87)(39, 83, 42, 86)(40, 84, 41, 85)(89, 133, 91, 135, 99, 143, 109, 153, 117, 161, 125, 169, 127, 171, 120, 164, 111, 155, 103, 147, 92, 136, 100, 144, 94, 138, 101, 145, 110, 154, 118, 162, 126, 170, 128, 172, 119, 163, 112, 156, 102, 146, 93, 137)(90, 134, 95, 139, 104, 148, 113, 157, 121, 165, 129, 173, 131, 175, 124, 168, 115, 159, 108, 152, 96, 140, 105, 149, 98, 142, 106, 150, 114, 158, 122, 166, 130, 174, 132, 176, 123, 167, 116, 160, 107, 151, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 105)(8, 107)(9, 108)(10, 90)(11, 94)(12, 93)(13, 91)(14, 111)(15, 112)(16, 98)(17, 97)(18, 95)(19, 115)(20, 116)(21, 101)(22, 99)(23, 119)(24, 120)(25, 106)(26, 104)(27, 123)(28, 124)(29, 110)(30, 109)(31, 127)(32, 128)(33, 114)(34, 113)(35, 131)(36, 132)(37, 118)(38, 117)(39, 126)(40, 125)(41, 122)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.829
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|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, Y3^11 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 17, 61)(12, 56, 18, 62)(13, 57, 15, 59)(14, 58, 16, 60)(19, 63, 25, 69)(20, 64, 26, 70)(21, 65, 23, 67)(22, 66, 24, 68)(27, 71, 33, 77)(28, 72, 34, 78)(29, 73, 31, 75)(30, 74, 32, 76)(35, 79, 41, 85)(36, 80, 42, 86)(37, 81, 39, 83)(38, 82, 40, 84)(43, 87, 44, 88)(89, 133, 91, 135, 92, 136, 99, 143, 100, 144, 107, 151, 108, 152, 115, 159, 116, 160, 123, 167, 124, 168, 131, 175, 126, 170, 125, 169, 118, 162, 117, 161, 110, 154, 109, 153, 102, 146, 101, 145, 94, 138, 93, 137)(90, 134, 95, 139, 96, 140, 103, 147, 104, 148, 111, 155, 112, 156, 119, 163, 120, 164, 127, 171, 128, 172, 132, 176, 130, 174, 129, 173, 122, 166, 121, 165, 114, 158, 113, 157, 106, 150, 105, 149, 98, 142, 97, 141)
	L = (1, 92)(2, 96)(3, 99)(4, 100)(5, 91)(6, 89)(7, 103)(8, 104)(9, 95)(10, 90)(11, 107)(12, 108)(13, 93)(14, 94)(15, 111)(16, 112)(17, 97)(18, 98)(19, 115)(20, 116)(21, 101)(22, 102)(23, 119)(24, 120)(25, 105)(26, 106)(27, 123)(28, 124)(29, 109)(30, 110)(31, 127)(32, 128)(33, 113)(34, 114)(35, 131)(36, 126)(37, 117)(38, 118)(39, 132)(40, 130)(41, 121)(42, 122)(43, 125)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^11, (Y3^5 * Y2^-1)^2, (Y3 * Y2^-1)^22 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 17, 61)(12, 56, 18, 62)(13, 57, 15, 59)(14, 58, 16, 60)(19, 63, 25, 69)(20, 64, 26, 70)(21, 65, 23, 67)(22, 66, 24, 68)(27, 71, 33, 77)(28, 72, 34, 78)(29, 73, 31, 75)(30, 74, 32, 76)(35, 79, 41, 85)(36, 80, 42, 86)(37, 81, 39, 83)(38, 82, 40, 84)(43, 87, 44, 88)(89, 133, 91, 135, 94, 138, 99, 143, 102, 146, 107, 151, 110, 154, 115, 159, 118, 162, 123, 167, 126, 170, 131, 175, 124, 168, 125, 169, 116, 160, 117, 161, 108, 152, 109, 153, 100, 144, 101, 145, 92, 136, 93, 137)(90, 134, 95, 139, 98, 142, 103, 147, 106, 150, 111, 155, 114, 158, 119, 163, 122, 166, 127, 171, 130, 174, 132, 176, 128, 172, 129, 173, 120, 164, 121, 165, 112, 156, 113, 157, 104, 148, 105, 149, 96, 140, 97, 141)
	L = (1, 92)(2, 96)(3, 93)(4, 100)(5, 101)(6, 89)(7, 97)(8, 104)(9, 105)(10, 90)(11, 91)(12, 108)(13, 109)(14, 94)(15, 95)(16, 112)(17, 113)(18, 98)(19, 99)(20, 116)(21, 117)(22, 102)(23, 103)(24, 120)(25, 121)(26, 106)(27, 107)(28, 124)(29, 125)(30, 110)(31, 111)(32, 128)(33, 129)(34, 114)(35, 115)(36, 126)(37, 131)(38, 118)(39, 119)(40, 130)(41, 132)(42, 122)(43, 123)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.825
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^2 * Y3^2, Y2^6 * Y3^-2, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 24, 68)(12, 56, 25, 69)(13, 57, 23, 67)(14, 58, 26, 70)(15, 59, 21, 65)(16, 60, 19, 63)(17, 61, 20, 64)(18, 62, 22, 66)(27, 71, 38, 82)(28, 72, 37, 81)(29, 73, 36, 80)(30, 74, 35, 79)(31, 75, 34, 78)(32, 76, 33, 77)(39, 83, 44, 88)(40, 84, 43, 87)(41, 85, 42, 86)(89, 133, 91, 135, 99, 143, 115, 159, 127, 171, 118, 162, 102, 146, 105, 149, 94, 138, 101, 145, 116, 160, 128, 172, 119, 163, 103, 147, 92, 136, 100, 144, 106, 150, 117, 161, 129, 173, 120, 164, 104, 148, 93, 137)(90, 134, 95, 139, 107, 151, 121, 165, 130, 174, 124, 168, 110, 154, 113, 157, 98, 142, 109, 153, 122, 166, 131, 175, 125, 169, 111, 155, 96, 140, 108, 152, 114, 158, 123, 167, 132, 176, 126, 170, 112, 156, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 108)(8, 110)(9, 111)(10, 90)(11, 106)(12, 105)(13, 91)(14, 104)(15, 118)(16, 119)(17, 93)(18, 94)(19, 114)(20, 113)(21, 95)(22, 112)(23, 124)(24, 125)(25, 97)(26, 98)(27, 117)(28, 99)(29, 101)(30, 120)(31, 127)(32, 128)(33, 123)(34, 107)(35, 109)(36, 126)(37, 130)(38, 131)(39, 129)(40, 115)(41, 116)(42, 132)(43, 121)(44, 122)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.827
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^-3 * Y2^2, Y2^6 * Y3^2, Y3^2 * Y2^6, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 24, 68)(12, 56, 25, 69)(13, 57, 23, 67)(14, 58, 26, 70)(15, 59, 21, 65)(16, 60, 19, 63)(17, 61, 20, 64)(18, 62, 22, 66)(27, 71, 36, 80)(28, 72, 37, 81)(29, 73, 38, 82)(30, 74, 33, 77)(31, 75, 34, 78)(32, 76, 35, 79)(39, 83, 44, 88)(40, 84, 43, 87)(41, 85, 42, 86)(89, 133, 91, 135, 99, 143, 115, 159, 127, 171, 120, 164, 106, 150, 103, 147, 92, 136, 100, 144, 116, 160, 128, 172, 119, 163, 105, 149, 94, 138, 101, 145, 102, 146, 117, 161, 129, 173, 118, 162, 104, 148, 93, 137)(90, 134, 95, 139, 107, 151, 121, 165, 130, 174, 126, 170, 114, 158, 111, 155, 96, 140, 108, 152, 122, 166, 131, 175, 125, 169, 113, 157, 98, 142, 109, 153, 110, 154, 123, 167, 132, 176, 124, 168, 112, 156, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 108)(8, 110)(9, 111)(10, 90)(11, 116)(12, 117)(13, 91)(14, 99)(15, 101)(16, 106)(17, 93)(18, 94)(19, 122)(20, 123)(21, 95)(22, 107)(23, 109)(24, 114)(25, 97)(26, 98)(27, 128)(28, 129)(29, 115)(30, 120)(31, 104)(32, 105)(33, 131)(34, 132)(35, 121)(36, 126)(37, 112)(38, 113)(39, 119)(40, 118)(41, 127)(42, 125)(43, 124)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.823
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2^2, Y3^2 * Y2^-2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 24, 68)(12, 56, 25, 69)(13, 57, 23, 67)(14, 58, 26, 70)(15, 59, 21, 65)(16, 60, 19, 63)(17, 61, 20, 64)(18, 62, 22, 66)(27, 71, 40, 84)(28, 72, 41, 85)(29, 73, 39, 83)(30, 74, 42, 86)(31, 75, 37, 81)(32, 76, 35, 79)(33, 77, 36, 80)(34, 78, 38, 82)(43, 87, 44, 88)(89, 133, 91, 135, 99, 143, 103, 147, 92, 136, 100, 144, 115, 159, 119, 163, 102, 146, 116, 160, 122, 166, 131, 175, 118, 162, 121, 165, 106, 150, 117, 161, 120, 164, 105, 149, 94, 138, 101, 145, 104, 148, 93, 137)(90, 134, 95, 139, 107, 151, 111, 155, 96, 140, 108, 152, 123, 167, 127, 171, 110, 154, 124, 168, 130, 174, 132, 176, 126, 170, 129, 173, 114, 158, 125, 169, 128, 172, 113, 157, 98, 142, 109, 153, 112, 156, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 108)(8, 110)(9, 111)(10, 90)(11, 115)(12, 116)(13, 91)(14, 118)(15, 119)(16, 99)(17, 93)(18, 94)(19, 123)(20, 124)(21, 95)(22, 126)(23, 127)(24, 107)(25, 97)(26, 98)(27, 122)(28, 121)(29, 101)(30, 120)(31, 131)(32, 104)(33, 105)(34, 106)(35, 130)(36, 129)(37, 109)(38, 128)(39, 132)(40, 112)(41, 113)(42, 114)(43, 117)(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) :: { ( 4, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.828
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3, Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 24, 68)(12, 56, 25, 69)(13, 57, 23, 67)(14, 58, 26, 70)(15, 59, 21, 65)(16, 60, 19, 63)(17, 61, 20, 64)(18, 62, 22, 66)(27, 71, 40, 84)(28, 72, 41, 85)(29, 73, 39, 83)(30, 74, 42, 86)(31, 75, 37, 81)(32, 76, 35, 79)(33, 77, 36, 80)(34, 78, 38, 82)(43, 87, 44, 88)(89, 133, 91, 135, 99, 143, 105, 149, 94, 138, 101, 145, 115, 159, 121, 165, 106, 150, 117, 161, 118, 162, 131, 175, 122, 166, 119, 163, 102, 146, 116, 160, 120, 164, 103, 147, 92, 136, 100, 144, 104, 148, 93, 137)(90, 134, 95, 139, 107, 151, 113, 157, 98, 142, 109, 153, 123, 167, 129, 173, 114, 158, 125, 169, 126, 170, 132, 176, 130, 174, 127, 171, 110, 154, 124, 168, 128, 172, 111, 155, 96, 140, 108, 152, 112, 156, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 108)(8, 110)(9, 111)(10, 90)(11, 104)(12, 116)(13, 91)(14, 118)(15, 119)(16, 120)(17, 93)(18, 94)(19, 112)(20, 124)(21, 95)(22, 126)(23, 127)(24, 128)(25, 97)(26, 98)(27, 99)(28, 131)(29, 101)(30, 115)(31, 117)(32, 122)(33, 105)(34, 106)(35, 107)(36, 132)(37, 109)(38, 123)(39, 125)(40, 130)(41, 113)(42, 114)(43, 121)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.824
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3^3 * Y2^2 * Y3, Y2^2 * Y3^-1 * Y2 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 24, 68)(12, 56, 25, 69)(13, 57, 23, 67)(14, 58, 26, 70)(15, 59, 21, 65)(16, 60, 19, 63)(17, 61, 20, 64)(18, 62, 22, 66)(27, 71, 44, 88)(28, 72, 41, 85)(29, 73, 43, 87)(30, 74, 39, 83)(31, 75, 42, 86)(32, 76, 37, 81)(33, 77, 40, 84)(34, 78, 38, 82)(35, 79, 36, 80)(89, 133, 91, 135, 99, 143, 115, 159, 120, 164, 105, 149, 94, 138, 101, 145, 117, 161, 121, 165, 102, 146, 118, 162, 106, 150, 119, 163, 122, 166, 103, 147, 92, 136, 100, 144, 116, 160, 123, 167, 104, 148, 93, 137)(90, 134, 95, 139, 107, 151, 124, 168, 129, 173, 113, 157, 98, 142, 109, 153, 126, 170, 130, 174, 110, 154, 127, 171, 114, 158, 128, 172, 131, 175, 111, 155, 96, 140, 108, 152, 125, 169, 132, 176, 112, 156, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 108)(8, 110)(9, 111)(10, 90)(11, 116)(12, 118)(13, 91)(14, 120)(15, 121)(16, 122)(17, 93)(18, 94)(19, 125)(20, 127)(21, 95)(22, 129)(23, 130)(24, 131)(25, 97)(26, 98)(27, 123)(28, 106)(29, 99)(30, 105)(31, 101)(32, 104)(33, 115)(34, 117)(35, 119)(36, 132)(37, 114)(38, 107)(39, 113)(40, 109)(41, 112)(42, 124)(43, 126)(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) :: { ( 4, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.826
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 22, 22})
Quotient :: dipole
Aut^+ = D44 (small group id <44, 3>)
Aut   = C2 x C2 x D22 (small group id <88, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y3 * Y2^-1 * Y3^3 * Y2^-1, Y2 * Y3 * Y2^2 * Y3^2 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 9, 53)(4, 48, 10, 54)(5, 49, 7, 51)(6, 50, 8, 52)(11, 55, 24, 68)(12, 56, 25, 69)(13, 57, 23, 67)(14, 58, 26, 70)(15, 59, 21, 65)(16, 60, 19, 63)(17, 61, 20, 64)(18, 62, 22, 66)(27, 71, 42, 86)(28, 72, 43, 87)(29, 73, 41, 85)(30, 74, 44, 88)(31, 75, 40, 84)(32, 76, 38, 82)(33, 77, 36, 80)(34, 78, 37, 81)(35, 79, 39, 83)(89, 133, 91, 135, 99, 143, 115, 159, 120, 164, 103, 147, 92, 136, 100, 144, 116, 160, 123, 167, 106, 150, 119, 163, 102, 146, 118, 162, 122, 166, 105, 149, 94, 138, 101, 145, 117, 161, 121, 165, 104, 148, 93, 137)(90, 134, 95, 139, 107, 151, 124, 168, 129, 173, 111, 155, 96, 140, 108, 152, 125, 169, 132, 176, 114, 158, 128, 172, 110, 154, 127, 171, 131, 175, 113, 157, 98, 142, 109, 153, 126, 170, 130, 174, 112, 156, 97, 141)
	L = (1, 92)(2, 96)(3, 100)(4, 102)(5, 103)(6, 89)(7, 108)(8, 110)(9, 111)(10, 90)(11, 116)(12, 118)(13, 91)(14, 117)(15, 119)(16, 120)(17, 93)(18, 94)(19, 125)(20, 127)(21, 95)(22, 126)(23, 128)(24, 129)(25, 97)(26, 98)(27, 123)(28, 122)(29, 99)(30, 121)(31, 101)(32, 106)(33, 115)(34, 104)(35, 105)(36, 132)(37, 131)(38, 107)(39, 130)(40, 109)(41, 114)(42, 124)(43, 112)(44, 113)(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, 44, 4, 44 ), ( 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.821
Graph:: bipartite
	v = 24 e = 88 f = 24
	degree seq :: [ 4^22, 44^2 ]

E21.830 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T2)^2, (F * T1)^2, T1^22, (T2^-1 * T1^-1)^44 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 31, 30, 35, 34, 39, 38, 43, 42, 44, 40, 41, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(45, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 84, 80, 76, 72, 68, 64, 60, 56, 52, 48)(47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 88, 85, 81, 77, 73, 69, 65, 61, 57, 53, 49)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.846
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.831 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^22 ]
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, 42, 43, 38, 39, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(45, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 85, 81, 77, 73, 69, 65, 61, 57, 53, 48)(47, 49, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 88, 84, 80, 76, 72, 68, 64, 60, 56, 52)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.844
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.832 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^13, (T1^-1 * T2^-1)^44 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 42, 36, 30, 24, 18, 12, 4, 10, 6, 14, 20, 26, 32, 38, 44, 41, 35, 29, 23, 17, 11, 8, 2, 7, 15, 21, 27, 33, 39, 43, 37, 31, 25, 19, 13, 5)(45, 46, 50, 53, 59, 64, 66, 71, 76, 78, 83, 88, 86, 81, 79, 74, 69, 67, 62, 57, 55, 48)(47, 51, 58, 60, 65, 70, 72, 77, 82, 84, 87, 85, 80, 75, 73, 68, 63, 61, 56, 49, 52, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.848
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.833 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1^-1), T2^2 * T1^3, T1 * T2^-14 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 39, 33, 27, 21, 15, 8, 2, 7, 11, 18, 24, 30, 36, 42, 44, 38, 32, 26, 20, 14, 6, 12, 4, 10, 17, 23, 29, 35, 41, 43, 37, 31, 25, 19, 13, 5)(45, 46, 50, 57, 59, 64, 69, 71, 76, 81, 83, 88, 85, 78, 80, 73, 66, 68, 61, 53, 55, 48)(47, 51, 56, 49, 52, 58, 63, 65, 70, 75, 77, 82, 87, 84, 86, 79, 72, 74, 67, 60, 62, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.843
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.834 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-2 * T1^5, T1 * T2 * T1 * T2^7, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 33, 23, 11, 21, 14, 26, 36, 43, 39, 29, 18, 8, 2, 7, 17, 28, 38, 34, 24, 12, 4, 10, 20, 31, 41, 44, 42, 32, 22, 16, 6, 15, 27, 37, 35, 25, 13, 5)(45, 46, 50, 58, 64, 53, 61, 71, 80, 85, 74, 82, 79, 83, 86, 77, 68, 57, 62, 66, 55, 48)(47, 51, 59, 70, 75, 63, 72, 81, 87, 88, 84, 78, 69, 73, 76, 67, 56, 49, 52, 60, 65, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.850
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.835 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^3 * T2 * T1 * T2 * T1, T2^3 * T1^-1 * T2^5 * 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^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 37, 27, 16, 6, 15, 22, 33, 41, 44, 42, 34, 24, 12, 4, 10, 20, 31, 39, 29, 18, 8, 2, 7, 17, 28, 38, 43, 36, 26, 14, 23, 11, 21, 32, 40, 35, 25, 13, 5)(45, 46, 50, 58, 68, 57, 62, 71, 80, 86, 79, 83, 74, 82, 85, 76, 64, 53, 61, 66, 55, 48)(47, 51, 59, 67, 56, 49, 52, 60, 70, 78, 69, 73, 81, 87, 88, 84, 75, 63, 72, 77, 65, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.845
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.836 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-1 * T2 * T1^-6, (T1^-1 * T2^-1)^44 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 41, 43, 36, 22, 34, 26, 38, 44, 42, 35, 28, 14, 27, 39, 40, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(45, 46, 50, 58, 70, 77, 64, 53, 61, 73, 83, 88, 87, 81, 68, 57, 62, 74, 79, 66, 55, 48)(47, 51, 59, 71, 82, 85, 76, 63, 69, 75, 84, 86, 80, 67, 56, 49, 52, 60, 72, 78, 65, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.851
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.837 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-6 * T1, T1 * T2 * T1^6 * T2, 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 * T1^3 * T2^-3 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 40, 39, 28, 14, 27, 34, 42, 44, 38, 26, 35, 22, 33, 41, 43, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(45, 46, 50, 58, 70, 80, 68, 57, 62, 74, 83, 88, 85, 76, 64, 53, 61, 73, 78, 66, 55, 48)(47, 51, 59, 71, 79, 67, 56, 49, 52, 60, 72, 82, 87, 81, 69, 63, 75, 84, 86, 77, 65, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.847
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.838 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^4 * T1^-4, T2^10 * T1, T1^9 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 38, 41, 36, 24, 12, 4, 10, 20, 28, 14, 27, 39, 44, 35, 23, 11, 21, 30, 16, 6, 15, 29, 40, 43, 34, 22, 32, 18, 8, 2, 7, 17, 31, 37, 42, 33, 25, 13, 5)(45, 46, 50, 58, 70, 81, 87, 79, 68, 57, 62, 74, 64, 53, 61, 73, 83, 85, 77, 66, 55, 48)(47, 51, 59, 71, 82, 86, 78, 67, 56, 49, 52, 60, 72, 63, 75, 84, 88, 80, 69, 76, 65, 54)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^22 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.849
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 44 f = 1
	degree seq :: [ 22^2, 44 ]

E21.839 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^3, (F * T2)^2, (F * T1)^2, T2^-14 * T1^2, T2^-7 * T1 * T2^7 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 41, 35, 29, 23, 17, 11, 5)(45, 46, 50, 49, 52, 56, 55, 58, 62, 61, 64, 68, 67, 70, 74, 73, 76, 80, 79, 82, 86, 85, 88, 83, 87, 84, 77, 81, 78, 71, 75, 72, 65, 69, 66, 59, 63, 60, 53, 57, 54, 47, 51, 48)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.852
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.840 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|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, T2^8 * T1^-1 * T2, (T1^-1 * T2^-1)^22 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 38, 28, 18, 8, 2, 7, 17, 27, 37, 44, 36, 26, 16, 6, 15, 25, 35, 43, 40, 31, 21, 11, 14, 24, 34, 42, 41, 32, 22, 12, 4, 10, 20, 30, 39, 33, 23, 13, 5)(45, 46, 50, 58, 54, 47, 51, 59, 68, 64, 53, 61, 69, 78, 74, 63, 71, 79, 86, 83, 73, 81, 87, 85, 77, 82, 88, 84, 76, 67, 72, 80, 75, 66, 57, 62, 70, 65, 56, 49, 52, 60, 55, 48)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.854
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.841 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T2^-1 * T1^-7, T1^-2 * T2^6, T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 40, 43, 37, 26, 22, 34, 41, 36, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 39, 28, 14, 27, 38, 44, 42, 35, 23, 11, 21, 33, 25, 13, 5)(45, 46, 50, 58, 70, 67, 56, 49, 52, 60, 72, 81, 79, 68, 57, 62, 74, 83, 87, 86, 80, 69, 76, 63, 75, 84, 88, 85, 77, 64, 53, 61, 73, 82, 78, 65, 54, 47, 51, 59, 71, 66, 55, 48)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.853
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.842 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {22, 44, 44})
Quotient :: edge
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-5 * T2^-3, T1^-2 * T2^-1 * T1^-1 * T2^-2 * T1^-2, T2^2 * T1^-1 * T2^4 * T1^-2 * T2, T2^-10 * T1^-2, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 39, 28, 14, 27, 23, 11, 21, 35, 42, 32, 18, 8, 2, 7, 17, 31, 41, 44, 38, 26, 24, 12, 4, 10, 20, 34, 40, 30, 16, 6, 15, 29, 22, 36, 43, 37, 25, 13, 5)(45, 46, 50, 58, 70, 69, 76, 84, 77, 85, 80, 65, 54, 47, 51, 59, 71, 68, 57, 62, 74, 83, 88, 87, 79, 64, 53, 61, 73, 67, 56, 49, 52, 60, 72, 82, 81, 86, 78, 63, 75, 66, 55, 48)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.855
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.843 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T2)^2, (F * T1)^2, T1^22, (T2^-1 * T1^-1)^44 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 2, 46, 7, 51, 6, 50, 11, 55, 10, 54, 15, 59, 14, 58, 19, 63, 18, 62, 23, 67, 22, 66, 27, 71, 26, 70, 31, 75, 30, 74, 35, 79, 34, 78, 39, 83, 38, 82, 43, 87, 42, 86, 44, 88, 40, 84, 41, 85, 36, 80, 37, 81, 32, 76, 33, 77, 28, 72, 29, 73, 24, 68, 25, 69, 20, 64, 21, 65, 16, 60, 17, 61, 12, 56, 13, 57, 8, 52, 9, 53, 4, 48, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 47)(6, 54)(7, 55)(8, 48)(9, 49)(10, 58)(11, 59)(12, 52)(13, 53)(14, 62)(15, 63)(16, 56)(17, 57)(18, 66)(19, 67)(20, 60)(21, 61)(22, 70)(23, 71)(24, 64)(25, 65)(26, 74)(27, 75)(28, 68)(29, 69)(30, 78)(31, 79)(32, 72)(33, 73)(34, 82)(35, 83)(36, 76)(37, 77)(38, 86)(39, 87)(40, 80)(41, 81)(42, 84)(43, 88)(44, 85)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.833
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.844 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^22 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 4, 48, 8, 52, 9, 53, 12, 56, 13, 57, 16, 60, 17, 61, 20, 64, 21, 65, 24, 68, 25, 69, 28, 72, 29, 73, 32, 76, 33, 77, 36, 80, 37, 81, 40, 84, 41, 85, 44, 88, 42, 86, 43, 87, 38, 82, 39, 83, 34, 78, 35, 79, 30, 74, 31, 75, 26, 70, 27, 71, 22, 66, 23, 67, 18, 62, 19, 63, 14, 58, 15, 59, 10, 54, 11, 55, 6, 50, 7, 51, 2, 46, 5, 49)
	L = (1, 46)(2, 50)(3, 49)(4, 45)(5, 51)(6, 54)(7, 55)(8, 47)(9, 48)(10, 58)(11, 59)(12, 52)(13, 53)(14, 62)(15, 63)(16, 56)(17, 57)(18, 66)(19, 67)(20, 60)(21, 61)(22, 70)(23, 71)(24, 64)(25, 65)(26, 74)(27, 75)(28, 68)(29, 69)(30, 78)(31, 79)(32, 72)(33, 73)(34, 82)(35, 83)(36, 76)(37, 77)(38, 86)(39, 87)(40, 80)(41, 81)(42, 85)(43, 88)(44, 84)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.831
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.845 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^13, (T1^-1 * T2^-1)^44 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 16, 60, 22, 66, 28, 72, 34, 78, 40, 84, 42, 86, 36, 80, 30, 74, 24, 68, 18, 62, 12, 56, 4, 48, 10, 54, 6, 50, 14, 58, 20, 64, 26, 70, 32, 76, 38, 82, 44, 88, 41, 85, 35, 79, 29, 73, 23, 67, 17, 61, 11, 55, 8, 52, 2, 46, 7, 51, 15, 59, 21, 65, 27, 71, 33, 77, 39, 83, 43, 87, 37, 81, 31, 75, 25, 69, 19, 63, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 53)(7, 58)(8, 54)(9, 59)(10, 47)(11, 48)(12, 49)(13, 55)(14, 60)(15, 64)(16, 65)(17, 56)(18, 57)(19, 61)(20, 66)(21, 70)(22, 71)(23, 62)(24, 63)(25, 67)(26, 72)(27, 76)(28, 77)(29, 68)(30, 69)(31, 73)(32, 78)(33, 82)(34, 83)(35, 74)(36, 75)(37, 79)(38, 84)(39, 88)(40, 87)(41, 80)(42, 81)(43, 85)(44, 86)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.835
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.846 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1^-1), T2^2 * T1^3, T1 * T2^-14 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 16, 60, 22, 66, 28, 72, 34, 78, 40, 84, 39, 83, 33, 77, 27, 71, 21, 65, 15, 59, 8, 52, 2, 46, 7, 51, 11, 55, 18, 62, 24, 68, 30, 74, 36, 80, 42, 86, 44, 88, 38, 82, 32, 76, 26, 70, 20, 64, 14, 58, 6, 50, 12, 56, 4, 48, 10, 54, 17, 61, 23, 67, 29, 73, 35, 79, 41, 85, 43, 87, 37, 81, 31, 75, 25, 69, 19, 63, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 57)(7, 56)(8, 58)(9, 55)(10, 47)(11, 48)(12, 49)(13, 59)(14, 63)(15, 64)(16, 62)(17, 53)(18, 54)(19, 65)(20, 69)(21, 70)(22, 68)(23, 60)(24, 61)(25, 71)(26, 75)(27, 76)(28, 74)(29, 66)(30, 67)(31, 77)(32, 81)(33, 82)(34, 80)(35, 72)(36, 73)(37, 83)(38, 87)(39, 88)(40, 86)(41, 78)(42, 79)(43, 84)(44, 85)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.830
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.847 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-2 * T1^5, T1 * T2 * T1 * T2^7, T2^3 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 30, 74, 40, 84, 33, 77, 23, 67, 11, 55, 21, 65, 14, 58, 26, 70, 36, 80, 43, 87, 39, 83, 29, 73, 18, 62, 8, 52, 2, 46, 7, 51, 17, 61, 28, 72, 38, 82, 34, 78, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 31, 75, 41, 85, 44, 88, 42, 86, 32, 76, 22, 66, 16, 60, 6, 50, 15, 59, 27, 71, 37, 81, 35, 79, 25, 69, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 64)(15, 70)(16, 65)(17, 71)(18, 66)(19, 72)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 73)(26, 75)(27, 80)(28, 81)(29, 76)(30, 82)(31, 63)(32, 67)(33, 68)(34, 69)(35, 83)(36, 85)(37, 87)(38, 79)(39, 86)(40, 78)(41, 74)(42, 77)(43, 88)(44, 84)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.837
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.848 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^3 * T2 * T1 * T2 * T1, T2^3 * T1^-1 * T2^5 * 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^-4 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 30, 74, 37, 81, 27, 71, 16, 60, 6, 50, 15, 59, 22, 66, 33, 77, 41, 85, 44, 88, 42, 86, 34, 78, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 31, 75, 39, 83, 29, 73, 18, 62, 8, 52, 2, 46, 7, 51, 17, 61, 28, 72, 38, 82, 43, 87, 36, 80, 26, 70, 14, 58, 23, 67, 11, 55, 21, 65, 32, 76, 40, 84, 35, 79, 25, 69, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 68)(15, 67)(16, 70)(17, 66)(18, 71)(19, 72)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 73)(26, 78)(27, 80)(28, 77)(29, 81)(30, 82)(31, 63)(32, 64)(33, 65)(34, 69)(35, 83)(36, 86)(37, 87)(38, 85)(39, 74)(40, 75)(41, 76)(42, 79)(43, 88)(44, 84)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.832
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.849 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-1 * T2 * T1^-6, (T1^-1 * T2^-1)^44 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 32, 76, 37, 81, 23, 67, 11, 55, 21, 65, 33, 77, 41, 85, 43, 87, 36, 80, 22, 66, 34, 78, 26, 70, 38, 82, 44, 88, 42, 86, 35, 79, 28, 72, 14, 58, 27, 71, 39, 83, 40, 84, 30, 74, 16, 60, 6, 50, 15, 59, 29, 73, 31, 75, 18, 62, 8, 52, 2, 46, 7, 51, 17, 61, 25, 69, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 69)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 75)(26, 77)(27, 82)(28, 78)(29, 83)(30, 79)(31, 84)(32, 63)(33, 64)(34, 65)(35, 66)(36, 67)(37, 68)(38, 85)(39, 88)(40, 86)(41, 76)(42, 80)(43, 81)(44, 87)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.838
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.850 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2^-6 * T1, T1 * T2 * T1^6 * T2, 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 * T1^3 * T2^-3 * T1^3 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 18, 62, 8, 52, 2, 46, 7, 51, 17, 61, 31, 75, 30, 74, 16, 60, 6, 50, 15, 59, 29, 73, 40, 84, 39, 83, 28, 72, 14, 58, 27, 71, 34, 78, 42, 86, 44, 88, 38, 82, 26, 70, 35, 79, 22, 66, 33, 77, 41, 85, 43, 87, 36, 80, 23, 67, 11, 55, 21, 65, 32, 76, 37, 81, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 25, 69, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 63)(26, 80)(27, 79)(28, 82)(29, 78)(30, 83)(31, 84)(32, 64)(33, 65)(34, 66)(35, 67)(36, 68)(37, 69)(38, 87)(39, 88)(40, 86)(41, 76)(42, 77)(43, 81)(44, 85)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.834
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.851 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^4 * T1^-4, T2^10 * T1, T1^9 * T2^2 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 26, 70, 38, 82, 41, 85, 36, 80, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 28, 72, 14, 58, 27, 71, 39, 83, 44, 88, 35, 79, 23, 67, 11, 55, 21, 65, 30, 74, 16, 60, 6, 50, 15, 59, 29, 73, 40, 84, 43, 87, 34, 78, 22, 66, 32, 76, 18, 62, 8, 52, 2, 46, 7, 51, 17, 61, 31, 75, 37, 81, 42, 86, 33, 77, 25, 69, 13, 57, 5, 49)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 76)(26, 81)(27, 82)(28, 63)(29, 83)(30, 64)(31, 84)(32, 65)(33, 66)(34, 67)(35, 68)(36, 69)(37, 87)(38, 86)(39, 85)(40, 88)(41, 77)(42, 78)(43, 79)(44, 80)
	local type(s) :: { ( 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44, 22, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.836
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 44 f = 3
	degree seq :: [ 88 ]

E21.852 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^22, (T2^-1 * T1^-1)^44 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 83, 43, 87, 41, 85, 37, 81, 33, 77, 29, 73, 25, 69, 21, 65, 17, 61, 13, 57, 9, 53, 5, 49)(2, 46, 6, 50, 10, 54, 14, 58, 18, 62, 22, 66, 26, 70, 30, 74, 34, 78, 38, 82, 42, 86, 44, 88, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)
	L = (1, 46)(2, 47)(3, 50)(4, 45)(5, 48)(6, 51)(7, 54)(8, 49)(9, 52)(10, 55)(11, 58)(12, 53)(13, 56)(14, 59)(15, 62)(16, 57)(17, 60)(18, 63)(19, 66)(20, 61)(21, 64)(22, 67)(23, 70)(24, 65)(25, 68)(26, 71)(27, 74)(28, 69)(29, 72)(30, 75)(31, 78)(32, 73)(33, 76)(34, 79)(35, 82)(36, 77)(37, 80)(38, 83)(39, 86)(40, 81)(41, 84)(42, 87)(43, 88)(44, 85)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.839
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.853 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-5, T1 * T2 * T1 * T2^6, T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 31, 75, 35, 79, 23, 67, 11, 55, 21, 65, 33, 77, 42, 86, 44, 88, 39, 83, 28, 72, 16, 60, 6, 50, 15, 59, 27, 71, 37, 81, 25, 69, 13, 57, 5, 49)(2, 46, 7, 51, 17, 61, 29, 73, 36, 80, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 32, 76, 41, 85, 43, 87, 34, 78, 22, 66, 14, 58, 26, 70, 38, 82, 40, 84, 30, 74, 18, 62, 8, 52)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 65)(15, 70)(16, 66)(17, 71)(18, 72)(19, 73)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 74)(26, 77)(27, 82)(28, 78)(29, 81)(30, 83)(31, 80)(32, 63)(33, 64)(34, 67)(35, 68)(36, 69)(37, 84)(38, 86)(39, 87)(40, 88)(41, 75)(42, 76)(43, 79)(44, 85)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.841
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.854 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T1^3 * T2 * T1^3, T2 * T1^-1 * T2 * T1^-1 * T2^5, 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 * T1^3 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 19, 63, 31, 75, 28, 72, 16, 60, 6, 50, 15, 59, 27, 71, 39, 83, 44, 88, 42, 86, 35, 79, 23, 67, 11, 55, 21, 65, 33, 77, 37, 81, 25, 69, 13, 57, 5, 49)(2, 46, 7, 51, 17, 61, 29, 73, 40, 84, 38, 82, 26, 70, 14, 58, 22, 66, 34, 78, 41, 85, 43, 87, 36, 80, 24, 68, 12, 56, 4, 48, 10, 54, 20, 64, 32, 76, 30, 74, 18, 62, 8, 52)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 60)(9, 61)(10, 47)(11, 48)(12, 49)(13, 62)(14, 67)(15, 66)(16, 70)(17, 71)(18, 72)(19, 73)(20, 53)(21, 54)(22, 55)(23, 56)(24, 57)(25, 74)(26, 79)(27, 78)(28, 82)(29, 83)(30, 75)(31, 84)(32, 63)(33, 64)(34, 65)(35, 68)(36, 69)(37, 76)(38, 86)(39, 85)(40, 88)(41, 77)(42, 80)(43, 81)(44, 87)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.840
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.855 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {22, 44, 44})
Quotient :: loop
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^14 * T2, (T1^-1 * T2^-1)^44 ]
Map:: non-degenerate
	R = (1, 45, 3, 47, 9, 53, 6, 50, 15, 59, 22, 66, 20, 64, 27, 71, 34, 78, 32, 76, 39, 83, 44, 88, 42, 86, 35, 79, 37, 81, 30, 74, 23, 67, 25, 69, 18, 62, 11, 55, 13, 57, 5, 49)(2, 46, 7, 51, 16, 60, 14, 58, 21, 65, 28, 72, 26, 70, 33, 77, 40, 84, 38, 82, 41, 85, 43, 87, 36, 80, 29, 73, 31, 75, 24, 68, 17, 61, 19, 63, 12, 56, 4, 48, 10, 54, 8, 52)
	L = (1, 46)(2, 50)(3, 51)(4, 45)(5, 52)(6, 58)(7, 59)(8, 53)(9, 60)(10, 47)(11, 48)(12, 49)(13, 54)(14, 64)(15, 65)(16, 66)(17, 55)(18, 56)(19, 57)(20, 70)(21, 71)(22, 72)(23, 61)(24, 62)(25, 63)(26, 76)(27, 77)(28, 78)(29, 67)(30, 68)(31, 69)(32, 82)(33, 83)(34, 84)(35, 73)(36, 74)(37, 75)(38, 86)(39, 85)(40, 88)(41, 79)(42, 80)(43, 81)(44, 87)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible
Dual of E21.842
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^22, Y1^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 10, 54, 14, 58, 18, 62, 22, 66, 26, 70, 30, 74, 34, 78, 38, 82, 42, 86, 41, 85, 37, 81, 33, 77, 29, 73, 25, 69, 21, 65, 17, 61, 13, 57, 9, 53, 4, 48)(3, 47, 5, 49, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 83, 43, 87, 44, 88, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52)(89, 133, 91, 135, 92, 136, 96, 140, 97, 141, 100, 144, 101, 145, 104, 148, 105, 149, 108, 152, 109, 153, 112, 156, 113, 157, 116, 160, 117, 161, 120, 164, 121, 165, 124, 168, 125, 169, 128, 172, 129, 173, 132, 176, 130, 174, 131, 175, 126, 170, 127, 171, 122, 166, 123, 167, 118, 162, 119, 163, 114, 158, 115, 159, 110, 154, 111, 155, 106, 150, 107, 151, 102, 146, 103, 147, 98, 142, 99, 143, 94, 138, 95, 139, 90, 134, 93, 137)
	L = (1, 92)(2, 89)(3, 96)(4, 97)(5, 91)(6, 90)(7, 93)(8, 100)(9, 101)(10, 94)(11, 95)(12, 104)(13, 105)(14, 98)(15, 99)(16, 108)(17, 109)(18, 102)(19, 103)(20, 112)(21, 113)(22, 106)(23, 107)(24, 116)(25, 117)(26, 110)(27, 111)(28, 120)(29, 121)(30, 114)(31, 115)(32, 124)(33, 125)(34, 118)(35, 119)(36, 128)(37, 129)(38, 122)(39, 123)(40, 132)(41, 130)(42, 126)(43, 127)(44, 131)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.874
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|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), Y1^22, Y3^22, Y1^11 * Y3^-11, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 10, 54, 14, 58, 18, 62, 22, 66, 26, 70, 30, 74, 34, 78, 38, 82, 42, 86, 40, 84, 36, 80, 32, 76, 28, 72, 24, 68, 20, 64, 16, 60, 12, 56, 8, 52, 4, 48)(3, 47, 7, 51, 11, 55, 15, 59, 19, 63, 23, 67, 27, 71, 31, 75, 35, 79, 39, 83, 43, 87, 44, 88, 41, 85, 37, 81, 33, 77, 29, 73, 25, 69, 21, 65, 17, 61, 13, 57, 9, 53, 5, 49)(89, 133, 91, 135, 90, 134, 95, 139, 94, 138, 99, 143, 98, 142, 103, 147, 102, 146, 107, 151, 106, 150, 111, 155, 110, 154, 115, 159, 114, 158, 119, 163, 118, 162, 123, 167, 122, 166, 127, 171, 126, 170, 131, 175, 130, 174, 132, 176, 128, 172, 129, 173, 124, 168, 125, 169, 120, 164, 121, 165, 116, 160, 117, 161, 112, 156, 113, 157, 108, 152, 109, 153, 104, 148, 105, 149, 100, 144, 101, 145, 96, 140, 97, 141, 92, 136, 93, 137)
	L = (1, 92)(2, 89)(3, 93)(4, 96)(5, 97)(6, 90)(7, 91)(8, 100)(9, 101)(10, 94)(11, 95)(12, 104)(13, 105)(14, 98)(15, 99)(16, 108)(17, 109)(18, 102)(19, 103)(20, 112)(21, 113)(22, 106)(23, 107)(24, 116)(25, 117)(26, 110)(27, 111)(28, 120)(29, 121)(30, 114)(31, 115)(32, 124)(33, 125)(34, 118)(35, 119)(36, 128)(37, 129)(38, 122)(39, 123)(40, 130)(41, 132)(42, 126)(43, 127)(44, 131)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.876
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y3^-1 * Y2^2, Y3^2 * Y2^2 * Y3^5, Y2 * Y3 * Y2 * Y3^6, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-4, Y1^5 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-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 * Y2^3 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 33, 77, 20, 64, 9, 53, 17, 61, 29, 73, 39, 83, 44, 88, 43, 87, 37, 81, 24, 68, 13, 57, 18, 62, 30, 74, 35, 79, 22, 66, 11, 55, 4, 48)(3, 47, 7, 51, 15, 59, 27, 71, 38, 82, 41, 85, 32, 76, 19, 63, 25, 69, 31, 75, 40, 84, 42, 86, 36, 80, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 34, 78, 21, 65, 10, 54)(89, 133, 91, 135, 97, 141, 107, 151, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 120, 164, 125, 169, 111, 155, 99, 143, 109, 153, 121, 165, 129, 173, 131, 175, 124, 168, 110, 154, 122, 166, 114, 158, 126, 170, 132, 176, 130, 174, 123, 167, 116, 160, 102, 146, 115, 159, 127, 171, 128, 172, 118, 162, 104, 148, 94, 138, 103, 147, 117, 161, 119, 163, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 113, 157, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 108)(10, 109)(11, 110)(12, 111)(13, 112)(14, 94)(15, 95)(16, 96)(17, 97)(18, 101)(19, 120)(20, 121)(21, 122)(22, 123)(23, 124)(24, 125)(25, 107)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 113)(32, 129)(33, 114)(34, 116)(35, 118)(36, 130)(37, 131)(38, 115)(39, 117)(40, 119)(41, 126)(42, 128)(43, 132)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.881
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y3, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y2^-1 * Y3^-1 * Y2^-5, Y3^-2 * Y1^3 * Y2^2 * Y3^-2, Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y3 * Y2^2, (Y2^-1 * Y1^-1)^44 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 36, 80, 24, 68, 13, 57, 18, 62, 30, 74, 39, 83, 44, 88, 41, 85, 32, 76, 20, 64, 9, 53, 17, 61, 29, 73, 34, 78, 22, 66, 11, 55, 4, 48)(3, 47, 7, 51, 15, 59, 27, 71, 35, 79, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 38, 82, 43, 87, 37, 81, 25, 69, 19, 63, 31, 75, 40, 84, 42, 86, 33, 77, 21, 65, 10, 54)(89, 133, 91, 135, 97, 141, 107, 151, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 119, 163, 118, 162, 104, 148, 94, 138, 103, 147, 117, 161, 128, 172, 127, 171, 116, 160, 102, 146, 115, 159, 122, 166, 130, 174, 132, 176, 126, 170, 114, 158, 123, 167, 110, 154, 121, 165, 129, 173, 131, 175, 124, 168, 111, 155, 99, 143, 109, 153, 120, 164, 125, 169, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 113, 157, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 108)(10, 109)(11, 110)(12, 111)(13, 112)(14, 94)(15, 95)(16, 96)(17, 97)(18, 101)(19, 113)(20, 120)(21, 121)(22, 122)(23, 123)(24, 124)(25, 125)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 129)(33, 130)(34, 117)(35, 115)(36, 114)(37, 131)(38, 116)(39, 118)(40, 119)(41, 132)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.877
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), Y3 * Y2^4 * Y1^-3, Y1 * Y2 * Y1 * Y3^-1 * Y1^3 * Y2 * Y1 * Y3^-2, Y2^3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2, Y2^-1 * Y1 * Y2^-1 * Y3^3 * Y2^-2 * Y3^3 * Y2^-2, Y2^-1 * Y3 * Y2^-4 * Y3 * Y2^-4 * Y3 * Y2^-4 * Y3 * Y2^-4 * Y3 * Y1^-3 * Y3^-3 * Y2 * Y1^-1, (Y2^-1 * Y3)^44 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 37, 81, 43, 87, 35, 79, 24, 68, 13, 57, 18, 62, 30, 74, 20, 64, 9, 53, 17, 61, 29, 73, 39, 83, 41, 85, 33, 77, 22, 66, 11, 55, 4, 48)(3, 47, 7, 51, 15, 59, 27, 71, 38, 82, 42, 86, 34, 78, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 19, 63, 31, 75, 40, 84, 44, 88, 36, 80, 25, 69, 32, 76, 21, 65, 10, 54)(89, 133, 91, 135, 97, 141, 107, 151, 114, 158, 126, 170, 129, 173, 124, 168, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 116, 160, 102, 146, 115, 159, 127, 171, 132, 176, 123, 167, 111, 155, 99, 143, 109, 153, 118, 162, 104, 148, 94, 138, 103, 147, 117, 161, 128, 172, 131, 175, 122, 166, 110, 154, 120, 164, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 119, 163, 125, 169, 130, 174, 121, 165, 113, 157, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 108)(10, 109)(11, 110)(12, 111)(13, 112)(14, 94)(15, 95)(16, 96)(17, 97)(18, 101)(19, 116)(20, 118)(21, 120)(22, 121)(23, 122)(24, 123)(25, 124)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 113)(33, 129)(34, 130)(35, 131)(36, 132)(37, 114)(38, 115)(39, 117)(40, 119)(41, 127)(42, 126)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.879
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * Y2^13, 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 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 9, 53, 15, 59, 20, 64, 22, 66, 27, 71, 32, 76, 34, 78, 39, 83, 44, 88, 42, 86, 37, 81, 35, 79, 30, 74, 25, 69, 23, 67, 18, 62, 13, 57, 11, 55, 4, 48)(3, 47, 7, 51, 14, 58, 16, 60, 21, 65, 26, 70, 28, 72, 33, 77, 38, 82, 40, 84, 43, 87, 41, 85, 36, 80, 31, 75, 29, 73, 24, 68, 19, 63, 17, 61, 12, 56, 5, 49, 8, 52, 10, 54)(89, 133, 91, 135, 97, 141, 104, 148, 110, 154, 116, 160, 122, 166, 128, 172, 130, 174, 124, 168, 118, 162, 112, 156, 106, 150, 100, 144, 92, 136, 98, 142, 94, 138, 102, 146, 108, 152, 114, 158, 120, 164, 126, 170, 132, 176, 129, 173, 123, 167, 117, 161, 111, 155, 105, 149, 99, 143, 96, 140, 90, 134, 95, 139, 103, 147, 109, 153, 115, 159, 121, 165, 127, 171, 131, 175, 125, 169, 119, 163, 113, 157, 107, 151, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 94)(10, 96)(11, 101)(12, 105)(13, 106)(14, 95)(15, 97)(16, 102)(17, 107)(18, 111)(19, 112)(20, 103)(21, 104)(22, 108)(23, 113)(24, 117)(25, 118)(26, 109)(27, 110)(28, 114)(29, 119)(30, 123)(31, 124)(32, 115)(33, 116)(34, 120)(35, 125)(36, 129)(37, 130)(38, 121)(39, 122)(40, 126)(41, 131)(42, 132)(43, 128)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.878
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y2 * Y1^2, Y2^-1 * Y1 * Y2^-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 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 13, 57, 15, 59, 20, 64, 25, 69, 27, 71, 32, 76, 37, 81, 39, 83, 44, 88, 41, 85, 34, 78, 36, 80, 29, 73, 22, 66, 24, 68, 17, 61, 9, 53, 11, 55, 4, 48)(3, 47, 7, 51, 12, 56, 5, 49, 8, 52, 14, 58, 19, 63, 21, 65, 26, 70, 31, 75, 33, 77, 38, 82, 43, 87, 40, 84, 42, 86, 35, 79, 28, 72, 30, 74, 23, 67, 16, 60, 18, 62, 10, 54)(89, 133, 91, 135, 97, 141, 104, 148, 110, 154, 116, 160, 122, 166, 128, 172, 127, 171, 121, 165, 115, 159, 109, 153, 103, 147, 96, 140, 90, 134, 95, 139, 99, 143, 106, 150, 112, 156, 118, 162, 124, 168, 130, 174, 132, 176, 126, 170, 120, 164, 114, 158, 108, 152, 102, 146, 94, 138, 100, 144, 92, 136, 98, 142, 105, 149, 111, 155, 117, 161, 123, 167, 129, 173, 131, 175, 125, 169, 119, 163, 113, 157, 107, 151, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 105)(10, 106)(11, 97)(12, 95)(13, 94)(14, 96)(15, 101)(16, 111)(17, 112)(18, 104)(19, 102)(20, 103)(21, 107)(22, 117)(23, 118)(24, 110)(25, 108)(26, 109)(27, 113)(28, 123)(29, 124)(30, 116)(31, 114)(32, 115)(33, 119)(34, 129)(35, 130)(36, 122)(37, 120)(38, 121)(39, 125)(40, 131)(41, 132)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.873
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2, Y1^3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-3 * Y2, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^3 * Y3^-2, Y2^3 * Y1^-1 * Y2^5 * Y1^-1, Y3^-1 * Y2^-2 * Y1^60 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 24, 68, 13, 57, 18, 62, 27, 71, 36, 80, 42, 86, 35, 79, 39, 83, 30, 74, 38, 82, 41, 85, 32, 76, 20, 64, 9, 53, 17, 61, 22, 66, 11, 55, 4, 48)(3, 47, 7, 51, 15, 59, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 26, 70, 34, 78, 25, 69, 29, 73, 37, 81, 43, 87, 44, 88, 40, 84, 31, 75, 19, 63, 28, 72, 33, 77, 21, 65, 10, 54)(89, 133, 91, 135, 97, 141, 107, 151, 118, 162, 125, 169, 115, 159, 104, 148, 94, 138, 103, 147, 110, 154, 121, 165, 129, 173, 132, 176, 130, 174, 122, 166, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 119, 163, 127, 171, 117, 161, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 116, 160, 126, 170, 131, 175, 124, 168, 114, 158, 102, 146, 111, 155, 99, 143, 109, 153, 120, 164, 128, 172, 123, 167, 113, 157, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 108)(10, 109)(11, 110)(12, 111)(13, 112)(14, 94)(15, 95)(16, 96)(17, 97)(18, 101)(19, 119)(20, 120)(21, 121)(22, 105)(23, 103)(24, 102)(25, 122)(26, 104)(27, 106)(28, 107)(29, 113)(30, 127)(31, 128)(32, 129)(33, 116)(34, 114)(35, 130)(36, 115)(37, 117)(38, 118)(39, 123)(40, 132)(41, 126)(42, 124)(43, 125)(44, 131)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.875
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y3)^2, Y2^-2 * Y1^2 * Y3^-3, Y1^4 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-5, Y2 * Y1 * Y2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^2 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 20, 64, 9, 53, 17, 61, 27, 71, 36, 80, 41, 85, 30, 74, 38, 82, 35, 79, 39, 83, 42, 86, 33, 77, 24, 68, 13, 57, 18, 62, 22, 66, 11, 55, 4, 48)(3, 47, 7, 51, 15, 59, 26, 70, 31, 75, 19, 63, 28, 72, 37, 81, 43, 87, 44, 88, 40, 84, 34, 78, 25, 69, 29, 73, 32, 76, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 21, 65, 10, 54)(89, 133, 91, 135, 97, 141, 107, 151, 118, 162, 128, 172, 121, 165, 111, 155, 99, 143, 109, 153, 102, 146, 114, 158, 124, 168, 131, 175, 127, 171, 117, 161, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 116, 160, 126, 170, 122, 166, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 119, 163, 129, 173, 132, 176, 130, 174, 120, 164, 110, 154, 104, 148, 94, 138, 103, 147, 115, 159, 125, 169, 123, 167, 113, 157, 101, 145, 93, 137)
	L = (1, 92)(2, 89)(3, 98)(4, 99)(5, 100)(6, 90)(7, 91)(8, 93)(9, 108)(10, 109)(11, 110)(12, 111)(13, 112)(14, 94)(15, 95)(16, 96)(17, 97)(18, 101)(19, 119)(20, 102)(21, 104)(22, 106)(23, 120)(24, 121)(25, 122)(26, 103)(27, 105)(28, 107)(29, 113)(30, 129)(31, 114)(32, 117)(33, 130)(34, 128)(35, 126)(36, 115)(37, 116)(38, 118)(39, 123)(40, 132)(41, 124)(42, 127)(43, 125)(44, 131)(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) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.880
Graph:: bipartite
	v = 3 e = 88 f = 45
	degree seq :: [ 44^2, 88 ]

E21.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-2, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^-1 * Y1^-15, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 12, 56, 18, 62, 24, 68, 30, 74, 36, 80, 42, 86, 39, 83, 33, 77, 27, 71, 21, 65, 15, 59, 9, 53, 5, 49, 8, 52, 14, 58, 20, 64, 26, 70, 32, 76, 38, 82, 44, 88, 40, 84, 34, 78, 28, 72, 22, 66, 16, 60, 10, 54, 3, 47, 7, 51, 13, 57, 19, 63, 25, 69, 31, 75, 37, 81, 43, 87, 41, 85, 35, 79, 29, 73, 23, 67, 17, 61, 11, 55, 4, 48)(89, 133, 91, 135, 97, 141, 92, 136, 98, 142, 103, 147, 99, 143, 104, 148, 109, 153, 105, 149, 110, 154, 115, 159, 111, 155, 116, 160, 121, 165, 117, 161, 122, 166, 127, 171, 123, 167, 128, 172, 130, 174, 129, 173, 132, 176, 124, 168, 131, 175, 126, 170, 118, 162, 125, 169, 120, 164, 112, 156, 119, 163, 114, 158, 106, 150, 113, 157, 108, 152, 100, 144, 107, 151, 102, 146, 94, 138, 101, 145, 96, 140, 90, 134, 95, 139, 93, 137)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 101)(7, 93)(8, 90)(9, 92)(10, 103)(11, 104)(12, 107)(13, 96)(14, 94)(15, 99)(16, 109)(17, 110)(18, 113)(19, 102)(20, 100)(21, 105)(22, 115)(23, 116)(24, 119)(25, 108)(26, 106)(27, 111)(28, 121)(29, 122)(30, 125)(31, 114)(32, 112)(33, 117)(34, 127)(35, 128)(36, 131)(37, 120)(38, 118)(39, 123)(40, 130)(41, 132)(42, 129)(43, 126)(44, 124)(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) :: { ( 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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.869
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^4 * Y1^-1 * Y2, Y1^-3 * Y2 * Y1^-6, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 24, 68, 34, 78, 30, 74, 20, 64, 10, 54, 3, 47, 7, 51, 15, 59, 25, 69, 35, 79, 42, 86, 39, 83, 29, 73, 19, 63, 9, 53, 17, 61, 27, 71, 37, 81, 43, 87, 41, 85, 33, 77, 23, 67, 13, 57, 18, 62, 28, 72, 38, 82, 44, 88, 40, 84, 32, 76, 22, 66, 12, 56, 5, 49, 8, 52, 16, 60, 26, 70, 36, 80, 31, 75, 21, 65, 11, 55, 4, 48)(89, 133, 91, 135, 97, 141, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 116, 160, 104, 148, 94, 138, 103, 147, 115, 159, 126, 170, 114, 158, 102, 146, 113, 157, 125, 169, 132, 176, 124, 168, 112, 156, 123, 167, 131, 175, 128, 172, 119, 163, 122, 166, 130, 174, 129, 173, 120, 164, 109, 153, 118, 162, 127, 171, 121, 165, 110, 154, 99, 143, 108, 152, 117, 161, 111, 155, 100, 144, 92, 136, 98, 142, 107, 151, 101, 145, 93, 137)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 106)(10, 107)(11, 108)(12, 92)(13, 93)(14, 113)(15, 115)(16, 94)(17, 116)(18, 96)(19, 101)(20, 117)(21, 118)(22, 99)(23, 100)(24, 123)(25, 125)(26, 102)(27, 126)(28, 104)(29, 111)(30, 127)(31, 122)(32, 109)(33, 110)(34, 130)(35, 131)(36, 112)(37, 132)(38, 114)(39, 121)(40, 119)(41, 120)(42, 129)(43, 128)(44, 124)(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) :: { ( 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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.872
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-3, Y2^-1 * Y1^-1 * Y2^-6, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 20, 64, 9, 53, 17, 61, 29, 73, 38, 82, 43, 87, 41, 85, 33, 77, 25, 69, 32, 76, 40, 84, 35, 79, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 27, 71, 37, 81, 34, 78, 19, 63, 31, 75, 39, 83, 44, 88, 42, 86, 36, 80, 24, 68, 13, 57, 18, 62, 30, 74, 22, 66, 11, 55, 4, 48)(89, 133, 91, 135, 97, 141, 107, 151, 121, 165, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 122, 166, 129, 173, 124, 168, 111, 155, 99, 143, 109, 153, 114, 158, 125, 169, 131, 175, 130, 174, 123, 167, 110, 154, 116, 160, 102, 146, 115, 159, 126, 170, 132, 176, 128, 172, 118, 162, 104, 148, 94, 138, 103, 147, 117, 161, 127, 171, 120, 164, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 119, 163, 113, 157, 101, 145, 93, 137)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 115)(15, 117)(16, 94)(17, 119)(18, 96)(19, 121)(20, 122)(21, 114)(22, 116)(23, 99)(24, 100)(25, 101)(26, 125)(27, 126)(28, 102)(29, 127)(30, 104)(31, 113)(32, 106)(33, 112)(34, 129)(35, 110)(36, 111)(37, 131)(38, 132)(39, 120)(40, 118)(41, 124)(42, 123)(43, 130)(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) :: { ( 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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.871
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-2 * Y1^-1 * Y2^2 * Y1, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-5, Y2^2 * Y1^37 * Y2, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 38, 82, 34, 78, 19, 63, 31, 75, 24, 68, 13, 57, 18, 62, 30, 74, 41, 85, 36, 80, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 27, 71, 39, 83, 44, 88, 43, 87, 33, 77, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 40, 84, 35, 79, 20, 64, 9, 53, 17, 61, 29, 73, 25, 69, 32, 76, 42, 86, 37, 81, 22, 66, 11, 55, 4, 48)(89, 133, 91, 135, 97, 141, 107, 151, 121, 165, 110, 154, 124, 168, 128, 172, 114, 158, 127, 171, 120, 164, 106, 150, 96, 140, 90, 134, 95, 139, 105, 149, 119, 163, 111, 155, 99, 143, 109, 153, 123, 167, 126, 170, 132, 176, 130, 174, 118, 162, 104, 148, 94, 138, 103, 147, 117, 161, 112, 156, 100, 144, 92, 136, 98, 142, 108, 152, 122, 166, 131, 175, 125, 169, 129, 173, 116, 160, 102, 146, 115, 159, 113, 157, 101, 145, 93, 137)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 115)(15, 117)(16, 94)(17, 119)(18, 96)(19, 121)(20, 122)(21, 123)(22, 124)(23, 99)(24, 100)(25, 101)(26, 127)(27, 113)(28, 102)(29, 112)(30, 104)(31, 111)(32, 106)(33, 110)(34, 131)(35, 126)(36, 128)(37, 129)(38, 132)(39, 120)(40, 114)(41, 116)(42, 118)(43, 125)(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) :: { ( 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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.870
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^22, (Y3^-1 * Y1^-1)^44, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)(89, 133, 90, 134, 94, 138, 98, 142, 102, 146, 106, 150, 110, 154, 114, 158, 118, 162, 122, 166, 126, 170, 130, 174, 129, 173, 125, 169, 121, 165, 117, 161, 113, 157, 109, 153, 105, 149, 101, 145, 97, 141, 92, 136)(91, 135, 93, 137, 95, 139, 99, 143, 103, 147, 107, 151, 111, 155, 115, 159, 119, 163, 123, 167, 127, 171, 131, 175, 132, 176, 128, 172, 124, 168, 120, 164, 116, 160, 112, 156, 108, 152, 104, 148, 100, 144, 96, 140)
	L = (1, 91)(2, 93)(3, 92)(4, 96)(5, 89)(6, 95)(7, 90)(8, 97)(9, 100)(10, 99)(11, 94)(12, 101)(13, 104)(14, 103)(15, 98)(16, 105)(17, 108)(18, 107)(19, 102)(20, 109)(21, 112)(22, 111)(23, 106)(24, 113)(25, 116)(26, 115)(27, 110)(28, 117)(29, 120)(30, 119)(31, 114)(32, 121)(33, 124)(34, 123)(35, 118)(36, 125)(37, 128)(38, 127)(39, 122)(40, 129)(41, 132)(42, 131)(43, 126)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.865
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), Y3^2 * Y2^3, Y3^-1 * Y2 * Y3^-13, (Y2^-1 * Y3)^44, (Y3^-1 * Y1^-1)^44 ]
Map::
	R = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)(89, 133, 90, 134, 94, 138, 101, 145, 103, 147, 108, 152, 113, 157, 115, 159, 120, 164, 125, 169, 127, 171, 132, 176, 129, 173, 122, 166, 124, 168, 117, 161, 110, 154, 112, 156, 105, 149, 97, 141, 99, 143, 92, 136)(91, 135, 95, 139, 100, 144, 93, 137, 96, 140, 102, 146, 107, 151, 109, 153, 114, 158, 119, 163, 121, 165, 126, 170, 131, 175, 128, 172, 130, 174, 123, 167, 116, 160, 118, 162, 111, 155, 104, 148, 106, 150, 98, 142)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 100)(7, 99)(8, 90)(9, 104)(10, 105)(11, 106)(12, 92)(13, 93)(14, 94)(15, 96)(16, 110)(17, 111)(18, 112)(19, 101)(20, 102)(21, 103)(22, 116)(23, 117)(24, 118)(25, 107)(26, 108)(27, 109)(28, 122)(29, 123)(30, 124)(31, 113)(32, 114)(33, 115)(34, 128)(35, 129)(36, 130)(37, 119)(38, 120)(39, 121)(40, 127)(41, 131)(42, 132)(43, 125)(44, 126)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.868
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3 * Y2^4 * Y3, Y2^2 * Y3^-2 * Y2^-2 * Y3^2, Y3^3 * Y2^-1 * Y3^5 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-4, (Y3^-1 * Y1^-1)^44 ]
Map::
	R = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)(89, 133, 90, 134, 94, 138, 102, 146, 112, 156, 101, 145, 106, 150, 115, 159, 124, 168, 130, 174, 123, 167, 127, 171, 118, 162, 126, 170, 129, 173, 120, 164, 108, 152, 97, 141, 105, 149, 110, 154, 99, 143, 92, 136)(91, 135, 95, 139, 103, 147, 111, 155, 100, 144, 93, 137, 96, 140, 104, 148, 114, 158, 122, 166, 113, 157, 117, 161, 125, 169, 131, 175, 132, 176, 128, 172, 119, 163, 107, 151, 116, 160, 121, 165, 109, 153, 98, 142)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 111)(15, 110)(16, 94)(17, 116)(18, 96)(19, 118)(20, 119)(21, 120)(22, 121)(23, 99)(24, 100)(25, 101)(26, 102)(27, 104)(28, 126)(29, 106)(30, 125)(31, 127)(32, 128)(33, 129)(34, 112)(35, 113)(36, 114)(37, 115)(38, 131)(39, 117)(40, 123)(41, 132)(42, 122)(43, 124)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.867
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^-6 * Y2, Y2^4 * Y3 * Y2 * Y3 * Y2^2, Y2^-1 * Y3 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-1 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^44 ]
Map::
	R = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)(89, 133, 90, 134, 94, 138, 102, 146, 114, 158, 124, 168, 112, 156, 101, 145, 106, 150, 118, 162, 127, 171, 132, 176, 129, 173, 120, 164, 108, 152, 97, 141, 105, 149, 117, 161, 122, 166, 110, 154, 99, 143, 92, 136)(91, 135, 95, 139, 103, 147, 115, 159, 123, 167, 111, 155, 100, 144, 93, 137, 96, 140, 104, 148, 116, 160, 126, 170, 131, 175, 125, 169, 113, 157, 107, 151, 119, 163, 128, 172, 130, 174, 121, 165, 109, 153, 98, 142)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 115)(15, 117)(16, 94)(17, 119)(18, 96)(19, 106)(20, 113)(21, 120)(22, 121)(23, 99)(24, 100)(25, 101)(26, 123)(27, 122)(28, 102)(29, 128)(30, 104)(31, 118)(32, 125)(33, 129)(34, 130)(35, 110)(36, 111)(37, 112)(38, 114)(39, 116)(40, 127)(41, 131)(42, 132)(43, 124)(44, 126)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.866
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^22, (Y3 * Y2^-1)^22, (Y3^-1 * Y1^-1)^44 ]
Map::
	R = (1, 45, 2, 46, 3, 47, 6, 50, 7, 51, 10, 54, 11, 55, 14, 58, 15, 59, 18, 62, 19, 63, 22, 66, 23, 67, 26, 70, 27, 71, 30, 74, 31, 75, 34, 78, 35, 79, 38, 82, 39, 83, 42, 86, 43, 87, 44, 88, 41, 85, 40, 84, 37, 81, 36, 80, 33, 77, 32, 76, 29, 73, 28, 72, 25, 69, 24, 68, 21, 65, 20, 64, 17, 61, 16, 60, 13, 57, 12, 56, 9, 53, 8, 52, 5, 49, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 94)(3, 95)(4, 90)(5, 89)(6, 98)(7, 99)(8, 92)(9, 93)(10, 102)(11, 103)(12, 96)(13, 97)(14, 106)(15, 107)(16, 100)(17, 101)(18, 110)(19, 111)(20, 104)(21, 105)(22, 114)(23, 115)(24, 108)(25, 109)(26, 118)(27, 119)(28, 112)(29, 113)(30, 122)(31, 123)(32, 116)(33, 117)(34, 126)(35, 127)(36, 120)(37, 121)(38, 130)(39, 131)(40, 124)(41, 125)(42, 132)(43, 129)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.862
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^22, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 45, 2, 46, 5, 49, 6, 50, 9, 53, 10, 54, 13, 57, 14, 58, 17, 61, 18, 62, 21, 65, 22, 66, 25, 69, 26, 70, 29, 73, 30, 74, 33, 77, 34, 78, 37, 81, 38, 82, 41, 85, 42, 86, 43, 87, 44, 88, 39, 83, 40, 84, 35, 79, 36, 80, 31, 75, 32, 76, 27, 71, 28, 72, 23, 67, 24, 68, 19, 63, 20, 64, 15, 59, 16, 60, 11, 55, 12, 56, 7, 51, 8, 52, 3, 47, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 92)(3, 95)(4, 96)(5, 89)(6, 90)(7, 99)(8, 100)(9, 93)(10, 94)(11, 103)(12, 104)(13, 97)(14, 98)(15, 107)(16, 108)(17, 101)(18, 102)(19, 111)(20, 112)(21, 105)(22, 106)(23, 115)(24, 116)(25, 109)(26, 110)(27, 119)(28, 120)(29, 113)(30, 114)(31, 123)(32, 124)(33, 117)(34, 118)(35, 127)(36, 128)(37, 121)(38, 122)(39, 131)(40, 132)(41, 125)(42, 126)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.856
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^-1 * Y1 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, Y1^6 * Y3 * Y1^8, (Y3 * Y2^-1)^22, (Y1^-1 * Y3^-1)^44 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 20, 64, 26, 70, 32, 76, 38, 82, 42, 86, 36, 80, 30, 74, 24, 68, 18, 62, 12, 56, 5, 49, 8, 52, 9, 53, 16, 60, 22, 66, 28, 72, 34, 78, 40, 84, 44, 88, 43, 87, 37, 81, 31, 75, 25, 69, 19, 63, 13, 57, 10, 54, 3, 47, 7, 51, 15, 59, 21, 65, 27, 71, 33, 77, 39, 83, 41, 85, 35, 79, 29, 73, 23, 67, 17, 61, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 104)(8, 90)(9, 94)(10, 96)(11, 101)(12, 92)(13, 93)(14, 109)(15, 110)(16, 102)(17, 107)(18, 99)(19, 100)(20, 115)(21, 116)(22, 108)(23, 113)(24, 105)(25, 106)(26, 121)(27, 122)(28, 114)(29, 119)(30, 111)(31, 112)(32, 127)(33, 128)(34, 120)(35, 125)(36, 117)(37, 118)(38, 129)(39, 132)(40, 126)(41, 131)(42, 123)(43, 124)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.863
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-14 * Y3, (Y3 * Y2^-1)^22 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 20, 64, 26, 70, 32, 76, 38, 82, 42, 86, 36, 80, 30, 74, 24, 68, 18, 62, 10, 54, 3, 47, 7, 51, 13, 57, 16, 60, 22, 66, 28, 72, 34, 78, 40, 84, 44, 88, 41, 85, 35, 79, 29, 73, 23, 67, 17, 61, 9, 53, 12, 56, 5, 49, 8, 52, 15, 59, 21, 65, 27, 71, 33, 77, 39, 83, 43, 87, 37, 81, 31, 75, 25, 69, 19, 63, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 101)(7, 100)(8, 90)(9, 99)(10, 105)(11, 106)(12, 92)(13, 93)(14, 104)(15, 94)(16, 96)(17, 107)(18, 111)(19, 112)(20, 110)(21, 102)(22, 103)(23, 113)(24, 117)(25, 118)(26, 116)(27, 108)(28, 109)(29, 119)(30, 123)(31, 124)(32, 122)(33, 114)(34, 115)(35, 125)(36, 129)(37, 130)(38, 128)(39, 120)(40, 121)(41, 131)(42, 132)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.857
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|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^-1 * Y3^-1 * Y1^-4, (Y3 * Y2^-1)^22, Y1^4 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^5 * Y3^-1 * Y1^4 * Y3^-3 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 36, 80, 34, 78, 24, 68, 13, 57, 18, 62, 19, 63, 30, 74, 40, 84, 44, 88, 41, 85, 31, 75, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 27, 71, 37, 81, 33, 77, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 38, 82, 43, 87, 42, 86, 35, 79, 25, 69, 20, 64, 9, 53, 17, 61, 29, 73, 39, 83, 32, 76, 22, 66, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 115)(15, 117)(16, 94)(17, 118)(18, 96)(19, 104)(20, 106)(21, 113)(22, 119)(23, 99)(24, 100)(25, 101)(26, 125)(27, 127)(28, 102)(29, 128)(30, 116)(31, 123)(32, 129)(33, 110)(34, 111)(35, 112)(36, 121)(37, 120)(38, 114)(39, 132)(40, 126)(41, 130)(42, 122)(43, 124)(44, 131)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.859
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^4 * Y1, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-5, Y1^-1 * Y3^3 * Y1^-2 * Y3^2 * Y1^-2 * Y3^2 * Y1^-2 * Y3^2 * Y1^-2 * Y3 * Y1^5 * Y3^2, (Y3 * Y2^-1)^22, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-4 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 36, 80, 32, 76, 20, 64, 9, 53, 17, 61, 25, 69, 30, 74, 40, 84, 44, 88, 42, 86, 35, 79, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 38, 82, 33, 77, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 27, 71, 37, 81, 43, 87, 41, 85, 31, 75, 19, 63, 24, 68, 13, 57, 18, 62, 29, 73, 39, 83, 34, 78, 22, 66, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 115)(15, 113)(16, 94)(17, 112)(18, 96)(19, 111)(20, 119)(21, 120)(22, 121)(23, 99)(24, 100)(25, 101)(26, 125)(27, 118)(28, 102)(29, 104)(30, 106)(31, 123)(32, 129)(33, 124)(34, 126)(35, 110)(36, 131)(37, 128)(38, 114)(39, 116)(40, 117)(41, 130)(42, 122)(43, 132)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.861
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, Y1^3 * Y3^-1 * Y1^2 * Y3^2 * Y1, Y3^-4 * Y1 * Y3^-3 * Y1, (Y3 * Y2^-1)^22, 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 * Y1^3 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 26, 70, 35, 79, 24, 68, 13, 57, 18, 62, 28, 72, 38, 82, 42, 86, 36, 80, 25, 69, 30, 74, 31, 75, 40, 84, 44, 88, 43, 87, 37, 81, 32, 76, 19, 63, 29, 73, 39, 83, 41, 85, 33, 77, 20, 64, 9, 53, 17, 61, 27, 71, 34, 78, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 22, 66, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 110)(15, 115)(16, 94)(17, 117)(18, 96)(19, 119)(20, 120)(21, 121)(22, 122)(23, 99)(24, 100)(25, 101)(26, 102)(27, 127)(28, 104)(29, 128)(30, 106)(31, 116)(32, 118)(33, 125)(34, 129)(35, 111)(36, 112)(37, 113)(38, 114)(39, 132)(40, 126)(41, 131)(42, 123)(43, 124)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.860
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y1 * Y3 * Y1 * Y3^6, (Y3 * Y2^-1)^22, Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 26, 70, 33, 77, 20, 64, 9, 53, 17, 61, 27, 71, 38, 82, 42, 86, 32, 76, 19, 63, 29, 73, 37, 81, 40, 84, 44, 88, 41, 85, 31, 75, 36, 80, 25, 69, 30, 74, 39, 83, 43, 87, 35, 79, 24, 68, 13, 57, 18, 62, 28, 72, 34, 78, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 22, 66, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 114)(15, 115)(16, 94)(17, 117)(18, 96)(19, 119)(20, 120)(21, 121)(22, 102)(23, 99)(24, 100)(25, 101)(26, 126)(27, 125)(28, 104)(29, 124)(30, 106)(31, 123)(32, 129)(33, 130)(34, 110)(35, 111)(36, 112)(37, 113)(38, 128)(39, 116)(40, 118)(41, 131)(42, 132)(43, 122)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.864
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {22, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^3 * Y3^-3, Y1^4 * Y3 * Y1^6, (Y3 * Y2^-1)^22, 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 ]
Map::
	R = (1, 45, 2, 46, 6, 50, 14, 58, 26, 70, 37, 81, 42, 86, 34, 78, 23, 67, 12, 56, 5, 49, 8, 52, 16, 60, 28, 72, 19, 63, 31, 75, 40, 84, 43, 87, 35, 79, 24, 68, 13, 57, 18, 62, 30, 74, 20, 64, 9, 53, 17, 61, 29, 73, 39, 83, 44, 88, 36, 80, 25, 69, 32, 76, 21, 65, 10, 54, 3, 47, 7, 51, 15, 59, 27, 71, 38, 82, 41, 85, 33, 77, 22, 66, 11, 55, 4, 48)(89, 133)(90, 134)(91, 135)(92, 136)(93, 137)(94, 138)(95, 139)(96, 140)(97, 141)(98, 142)(99, 143)(100, 144)(101, 145)(102, 146)(103, 147)(104, 148)(105, 149)(106, 150)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 156)(113, 157)(114, 158)(115, 159)(116, 160)(117, 161)(118, 162)(119, 163)(120, 164)(121, 165)(122, 166)(123, 167)(124, 168)(125, 169)(126, 170)(127, 171)(128, 172)(129, 173)(130, 174)(131, 175)(132, 176)
	L = (1, 91)(2, 95)(3, 97)(4, 98)(5, 89)(6, 103)(7, 105)(8, 90)(9, 107)(10, 108)(11, 109)(12, 92)(13, 93)(14, 115)(15, 117)(16, 94)(17, 119)(18, 96)(19, 114)(20, 116)(21, 118)(22, 120)(23, 99)(24, 100)(25, 101)(26, 126)(27, 127)(28, 102)(29, 128)(30, 104)(31, 125)(32, 106)(33, 113)(34, 110)(35, 111)(36, 112)(37, 129)(38, 132)(39, 131)(40, 130)(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) :: { ( 44, 88 ), ( 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88, 44, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.858
Graph:: bipartite
	v = 45 e = 88 f = 3
	degree seq :: [ 2^44, 88 ]

E21.882 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 8, 2, 7, 14, 6, 13, 20, 12, 19, 26, 18, 25, 32, 24, 31, 38, 30, 37, 43, 36, 42, 45, 40, 44, 41, 34, 39, 35, 28, 33, 29, 22, 27, 23, 16, 21, 17, 10, 15, 11, 4, 9, 5)(46, 47, 51, 57, 63, 69, 75, 81, 85, 79, 73, 67, 61, 55, 49)(48, 52, 58, 64, 70, 76, 82, 87, 89, 84, 78, 72, 66, 60, 54)(50, 53, 59, 65, 71, 77, 83, 88, 90, 86, 80, 74, 68, 62, 56)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^15 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E21.895
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 1
	degree seq :: [ 15^3, 45 ]

E21.883 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T2)^2, (F * T1)^2, T1^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 4, 10, 15, 11, 16, 21, 17, 22, 27, 23, 28, 33, 29, 34, 39, 35, 40, 44, 41, 45, 43, 36, 42, 38, 30, 37, 32, 24, 31, 26, 18, 25, 20, 12, 19, 14, 6, 13, 8, 2, 7, 5)(46, 47, 51, 57, 63, 69, 75, 81, 86, 80, 74, 68, 62, 56, 49)(48, 52, 58, 64, 70, 76, 82, 87, 90, 85, 79, 73, 67, 61, 55)(50, 53, 59, 65, 71, 77, 83, 88, 89, 84, 78, 72, 66, 60, 54)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^15 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E21.893
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 1
	degree seq :: [ 15^3, 45 ]

E21.884 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^15, T1^-15, T1^15, T1^-6 * T2^2 * T1^-7 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 44, 38, 40, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 45, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(46, 47, 51, 59, 65, 71, 77, 83, 88, 82, 76, 70, 64, 56, 49)(48, 52, 58, 61, 67, 73, 79, 85, 90, 87, 81, 75, 69, 63, 55)(50, 53, 60, 66, 72, 78, 84, 89, 86, 80, 74, 68, 62, 54, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^15 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E21.892
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 1
	degree seq :: [ 15^3, 45 ]

E21.885 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2^-1 * T1 * T2^-2, T1^-1 * T2^-1 * T1^-1 * T2^-8 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 29, 37, 45, 38, 30, 22, 18, 8, 2, 7, 17, 28, 36, 44, 39, 31, 23, 11, 21, 16, 6, 15, 27, 35, 43, 40, 32, 24, 12, 4, 10, 20, 14, 26, 34, 42, 41, 33, 25, 13, 5)(46, 47, 51, 59, 64, 73, 80, 87, 90, 84, 77, 70, 67, 56, 49)(48, 52, 60, 71, 74, 81, 88, 86, 83, 76, 69, 58, 63, 66, 55)(50, 53, 61, 65, 54, 62, 72, 79, 82, 89, 85, 78, 75, 68, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^15 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E21.896
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 1
	degree seq :: [ 15^3, 45 ]

E21.886 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2^2, T1 * T2^-1 * T1 * T2^-8 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 37, 42, 34, 26, 14, 24, 12, 4, 10, 20, 30, 38, 43, 35, 27, 16, 6, 15, 23, 11, 21, 31, 39, 44, 36, 28, 18, 8, 2, 7, 17, 22, 32, 40, 45, 41, 33, 25, 13, 5)(46, 47, 51, 59, 70, 73, 80, 87, 90, 84, 75, 64, 67, 56, 49)(48, 52, 60, 69, 58, 63, 72, 79, 86, 89, 83, 74, 77, 66, 55)(50, 53, 61, 71, 78, 81, 88, 82, 85, 76, 65, 54, 62, 68, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^15 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E21.891
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 1
	degree seq :: [ 15^3, 45 ]

E21.887 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-6 * T1, T2 * T1 * T2 * T1^6 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-1 * T1, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 43, 42, 28, 14, 27, 41, 34, 45, 40, 26, 39, 35, 22, 33, 44, 38, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(46, 47, 51, 59, 71, 83, 82, 70, 64, 76, 88, 79, 67, 56, 49)(48, 52, 60, 72, 84, 81, 69, 58, 63, 75, 87, 90, 78, 66, 55)(50, 53, 61, 73, 85, 89, 77, 65, 54, 62, 74, 86, 80, 68, 57)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^15 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E21.894
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 45 f = 1
	degree seq :: [ 15^3, 45 ]

E21.888 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^22, (T2^-1 * T1^-1)^15 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 44, 40, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(46, 47, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 72, 75, 76, 79, 80, 83, 84, 87, 88, 90, 89, 86, 85, 82, 81, 78, 77, 74, 73, 70, 69, 66, 65, 62, 61, 58, 57, 54, 53, 50, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 30^45 ) }
Outer automorphisms :: reflexible
Dual of E21.898
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 3
	degree seq :: [ 45^2 ]

E21.889 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T2^-1 * T1 * T2^-10, (T1 * T2^-2)^5 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 44, 38, 30, 22, 14, 6, 11, 19, 27, 35, 42, 45, 43, 36, 28, 20, 12, 4, 10, 18, 26, 34, 41, 37, 29, 21, 13, 5)(46, 47, 51, 57, 50, 53, 59, 65, 58, 61, 67, 73, 66, 69, 75, 81, 74, 77, 83, 88, 82, 85, 89, 90, 86, 78, 84, 87, 79, 70, 76, 80, 71, 62, 68, 72, 63, 54, 60, 64, 55, 48, 52, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 30^45 ) }
Outer automorphisms :: reflexible
Dual of E21.897
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 3
	degree seq :: [ 45^2 ]

E21.890 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {15, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T2^-1 * T1^-7, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-4, T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2, T2^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 41, 45, 38, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 42, 44, 37, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 43, 40, 26, 22, 36, 39, 25, 13, 5)(46, 47, 51, 59, 71, 68, 57, 50, 53, 61, 73, 85, 82, 69, 58, 63, 75, 78, 88, 89, 83, 70, 77, 79, 64, 76, 87, 90, 84, 80, 65, 54, 62, 74, 86, 81, 66, 55, 48, 52, 60, 72, 67, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 30^45 ) }
Outer automorphisms :: reflexible
Dual of E21.899
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 3
	degree seq :: [ 45^2 ]

E21.891 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 46, 3, 48, 8, 53, 2, 47, 7, 52, 14, 59, 6, 51, 13, 58, 20, 65, 12, 57, 19, 64, 26, 71, 18, 63, 25, 70, 32, 77, 24, 69, 31, 76, 38, 83, 30, 75, 37, 82, 43, 88, 36, 81, 42, 87, 45, 90, 40, 85, 44, 89, 41, 86, 34, 79, 39, 84, 35, 80, 28, 73, 33, 78, 29, 74, 22, 67, 27, 72, 23, 68, 16, 61, 21, 66, 17, 62, 10, 55, 15, 60, 11, 56, 4, 49, 9, 54, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 57)(7, 58)(8, 59)(9, 48)(10, 49)(11, 50)(12, 63)(13, 64)(14, 65)(15, 54)(16, 55)(17, 56)(18, 69)(19, 70)(20, 71)(21, 60)(22, 61)(23, 62)(24, 75)(25, 76)(26, 77)(27, 66)(28, 67)(29, 68)(30, 81)(31, 82)(32, 83)(33, 72)(34, 73)(35, 74)(36, 85)(37, 87)(38, 88)(39, 78)(40, 79)(41, 80)(42, 89)(43, 90)(44, 84)(45, 86)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E21.886
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 4
	degree seq :: [ 90 ]

E21.892 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T2)^2, (F * T1)^2, T1^15 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 4, 49, 10, 55, 15, 60, 11, 56, 16, 61, 21, 66, 17, 62, 22, 67, 27, 72, 23, 68, 28, 73, 33, 78, 29, 74, 34, 79, 39, 84, 35, 80, 40, 85, 44, 89, 41, 86, 45, 90, 43, 88, 36, 81, 42, 87, 38, 83, 30, 75, 37, 82, 32, 77, 24, 69, 31, 76, 26, 71, 18, 63, 25, 70, 20, 65, 12, 57, 19, 64, 14, 59, 6, 51, 13, 58, 8, 53, 2, 47, 7, 52, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 57)(7, 58)(8, 59)(9, 50)(10, 48)(11, 49)(12, 63)(13, 64)(14, 65)(15, 54)(16, 55)(17, 56)(18, 69)(19, 70)(20, 71)(21, 60)(22, 61)(23, 62)(24, 75)(25, 76)(26, 77)(27, 66)(28, 67)(29, 68)(30, 81)(31, 82)(32, 83)(33, 72)(34, 73)(35, 74)(36, 86)(37, 87)(38, 88)(39, 78)(40, 79)(41, 80)(42, 90)(43, 89)(44, 84)(45, 85)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E21.884
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 4
	degree seq :: [ 90 ]

E21.893 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^15, T1^-15, T1^15, T1^-6 * T2^2 * T1^-7 * T2 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 11, 56, 18, 63, 23, 68, 25, 70, 30, 75, 35, 80, 37, 82, 42, 87, 44, 89, 38, 83, 40, 85, 33, 78, 26, 71, 28, 73, 21, 66, 14, 59, 16, 61, 8, 53, 2, 47, 7, 52, 12, 57, 4, 49, 10, 55, 17, 62, 19, 64, 24, 69, 29, 74, 31, 76, 36, 81, 41, 86, 43, 88, 45, 90, 39, 84, 32, 77, 34, 79, 27, 72, 20, 65, 22, 67, 15, 60, 6, 51, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 58)(8, 60)(9, 57)(10, 48)(11, 49)(12, 50)(13, 61)(14, 65)(15, 66)(16, 67)(17, 54)(18, 55)(19, 56)(20, 71)(21, 72)(22, 73)(23, 62)(24, 63)(25, 64)(26, 77)(27, 78)(28, 79)(29, 68)(30, 69)(31, 70)(32, 83)(33, 84)(34, 85)(35, 74)(36, 75)(37, 76)(38, 88)(39, 89)(40, 90)(41, 80)(42, 81)(43, 82)(44, 86)(45, 87)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E21.883
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 4
	degree seq :: [ 90 ]

E21.894 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2^-1 * T1 * T2^-2, T1^-1 * T2^-1 * T1^-1 * T2^-8 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 46, 3, 48, 9, 54, 19, 64, 29, 74, 37, 82, 45, 90, 38, 83, 30, 75, 22, 67, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 28, 73, 36, 81, 44, 89, 39, 84, 31, 76, 23, 68, 11, 56, 21, 66, 16, 61, 6, 51, 15, 60, 27, 72, 35, 80, 43, 88, 40, 85, 32, 77, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 14, 59, 26, 71, 34, 79, 42, 87, 41, 86, 33, 78, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 64)(15, 71)(16, 65)(17, 72)(18, 66)(19, 73)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 67)(26, 74)(27, 79)(28, 80)(29, 81)(30, 68)(31, 69)(32, 70)(33, 75)(34, 82)(35, 87)(36, 88)(37, 89)(38, 76)(39, 77)(40, 78)(41, 83)(42, 90)(43, 86)(44, 85)(45, 84)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E21.887
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 4
	degree seq :: [ 90 ]

E21.895 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2^2, T1 * T2^-1 * T1 * T2^-8 * T1 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 29, 74, 37, 82, 42, 87, 34, 79, 26, 71, 14, 59, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 30, 75, 38, 83, 43, 88, 35, 80, 27, 72, 16, 61, 6, 51, 15, 60, 23, 68, 11, 56, 21, 66, 31, 76, 39, 84, 44, 89, 36, 81, 28, 73, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 22, 67, 32, 77, 40, 85, 45, 90, 41, 86, 33, 78, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 70)(15, 69)(16, 71)(17, 68)(18, 72)(19, 67)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 73)(26, 78)(27, 79)(28, 80)(29, 77)(30, 64)(31, 65)(32, 66)(33, 81)(34, 86)(35, 87)(36, 88)(37, 85)(38, 74)(39, 75)(40, 76)(41, 89)(42, 90)(43, 82)(44, 83)(45, 84)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E21.882
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 4
	degree seq :: [ 90 ]

E21.896 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-6 * T1, T2 * T1 * T2 * T1^6 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-1 * T1, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 31, 76, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 43, 88, 42, 87, 28, 73, 14, 59, 27, 72, 41, 86, 34, 79, 45, 90, 40, 85, 26, 71, 39, 84, 35, 80, 22, 67, 33, 78, 44, 89, 38, 83, 36, 81, 23, 68, 11, 56, 21, 66, 32, 77, 37, 82, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 64)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 65)(33, 66)(34, 67)(35, 68)(36, 69)(37, 70)(38, 82)(39, 81)(40, 89)(41, 80)(42, 90)(43, 79)(44, 77)(45, 78)
	local type(s) :: { ( 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45, 15, 45 ) }
Outer automorphisms :: reflexible
Dual of E21.885
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 4
	degree seq :: [ 90 ]

E21.897 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^15, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 15, 60, 21, 66, 27, 72, 33, 78, 39, 84, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56, 5, 50)(2, 47, 7, 52, 13, 58, 19, 64, 25, 70, 31, 76, 37, 82, 43, 88, 44, 89, 38, 83, 32, 77, 26, 71, 20, 65, 14, 59, 8, 53)(4, 49, 6, 51, 12, 57, 18, 63, 24, 69, 30, 75, 36, 81, 42, 87, 45, 90, 40, 85, 34, 79, 28, 73, 22, 67, 16, 61, 10, 55)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 48)(7, 57)(8, 49)(9, 58)(10, 50)(11, 59)(12, 54)(13, 63)(14, 55)(15, 64)(16, 56)(17, 65)(18, 60)(19, 69)(20, 61)(21, 70)(22, 62)(23, 71)(24, 66)(25, 75)(26, 67)(27, 76)(28, 68)(29, 77)(30, 72)(31, 81)(32, 73)(33, 82)(34, 74)(35, 83)(36, 78)(37, 87)(38, 79)(39, 88)(40, 80)(41, 89)(42, 84)(43, 90)(44, 85)(45, 86)
	local type(s) :: { ( 45^30 ) }
Outer automorphisms :: reflexible
Dual of E21.889
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 2
	degree seq :: [ 30^3 ]

E21.898 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^15 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 15, 60, 21, 66, 27, 72, 33, 78, 39, 84, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56, 5, 50)(2, 47, 7, 52, 13, 58, 19, 64, 25, 70, 31, 76, 37, 82, 43, 88, 44, 89, 38, 83, 32, 77, 26, 71, 20, 65, 14, 59, 8, 53)(4, 49, 10, 55, 16, 61, 22, 67, 28, 73, 34, 79, 40, 85, 45, 90, 42, 87, 36, 81, 30, 75, 24, 69, 18, 63, 12, 57, 6, 51)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 50)(7, 49)(8, 57)(9, 58)(10, 48)(11, 59)(12, 56)(13, 55)(14, 63)(15, 64)(16, 54)(17, 65)(18, 62)(19, 61)(20, 69)(21, 70)(22, 60)(23, 71)(24, 68)(25, 67)(26, 75)(27, 76)(28, 66)(29, 77)(30, 74)(31, 73)(32, 81)(33, 82)(34, 72)(35, 83)(36, 80)(37, 79)(38, 87)(39, 88)(40, 78)(41, 89)(42, 86)(43, 85)(44, 90)(45, 84)
	local type(s) :: { ( 45^30 ) }
Outer automorphisms :: reflexible
Dual of E21.888
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 2
	degree seq :: [ 30^3 ]

E21.899 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {15, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-5, T1 * T2^-2 * T1^3 * T2 * T1^2, T1^2 * T2 * T1 * T2^6, T2^2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 31, 76, 43, 88, 34, 79, 22, 67, 14, 59, 26, 71, 38, 83, 37, 82, 25, 70, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 29, 74, 41, 86, 35, 80, 23, 68, 11, 56, 21, 66, 33, 78, 45, 90, 42, 87, 30, 75, 18, 63, 8, 53)(4, 49, 10, 55, 20, 65, 32, 77, 44, 89, 40, 85, 28, 73, 16, 61, 6, 51, 15, 60, 27, 72, 39, 84, 36, 81, 24, 69, 12, 57)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 66)(15, 71)(16, 67)(17, 72)(18, 73)(19, 74)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 75)(26, 78)(27, 83)(28, 79)(29, 84)(30, 85)(31, 86)(32, 64)(33, 65)(34, 68)(35, 69)(36, 70)(37, 87)(38, 90)(39, 82)(40, 88)(41, 81)(42, 89)(43, 80)(44, 76)(45, 77)
	local type(s) :: { ( 45^30 ) }
Outer automorphisms :: reflexible
Dual of E21.890
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 45 f = 2
	degree seq :: [ 30^3 ]

E21.900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^15, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 12, 57, 18, 63, 24, 69, 30, 75, 36, 81, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56, 4, 49)(3, 48, 7, 52, 13, 58, 19, 64, 25, 70, 31, 76, 37, 82, 42, 87, 45, 90, 40, 85, 34, 79, 28, 73, 22, 67, 16, 61, 10, 55)(5, 50, 8, 53, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 43, 88, 44, 89, 39, 84, 33, 78, 27, 72, 21, 66, 15, 60, 9, 54)(91, 136, 93, 138, 99, 144, 94, 139, 100, 145, 105, 150, 101, 146, 106, 151, 111, 156, 107, 152, 112, 157, 117, 162, 113, 158, 118, 163, 123, 168, 119, 164, 124, 169, 129, 174, 125, 170, 130, 175, 134, 179, 131, 176, 135, 180, 133, 178, 126, 171, 132, 177, 128, 173, 120, 165, 127, 172, 122, 167, 114, 159, 121, 166, 116, 161, 108, 153, 115, 160, 110, 155, 102, 147, 109, 154, 104, 149, 96, 141, 103, 148, 98, 143, 92, 137, 97, 142, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 99)(6, 92)(7, 93)(8, 95)(9, 105)(10, 106)(11, 107)(12, 96)(13, 97)(14, 98)(15, 111)(16, 112)(17, 113)(18, 102)(19, 103)(20, 104)(21, 117)(22, 118)(23, 119)(24, 108)(25, 109)(26, 110)(27, 123)(28, 124)(29, 125)(30, 114)(31, 115)(32, 116)(33, 129)(34, 130)(35, 131)(36, 120)(37, 121)(38, 122)(39, 134)(40, 135)(41, 126)(42, 127)(43, 128)(44, 133)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.914
Graph:: bipartite
	v = 4 e = 90 f = 46
	degree seq :: [ 30^3, 90 ]

E21.901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y1^15, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 12, 57, 18, 63, 24, 69, 30, 75, 36, 81, 40, 85, 34, 79, 28, 73, 22, 67, 16, 61, 10, 55, 4, 49)(3, 48, 7, 52, 13, 58, 19, 64, 25, 70, 31, 76, 37, 82, 42, 87, 44, 89, 39, 84, 33, 78, 27, 72, 21, 66, 15, 60, 9, 54)(5, 50, 8, 53, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 43, 88, 45, 90, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 11, 56)(91, 136, 93, 138, 98, 143, 92, 137, 97, 142, 104, 149, 96, 141, 103, 148, 110, 155, 102, 147, 109, 154, 116, 161, 108, 153, 115, 160, 122, 167, 114, 159, 121, 166, 128, 173, 120, 165, 127, 172, 133, 178, 126, 171, 132, 177, 135, 180, 130, 175, 134, 179, 131, 176, 124, 169, 129, 174, 125, 170, 118, 163, 123, 168, 119, 164, 112, 157, 117, 162, 113, 158, 106, 151, 111, 156, 107, 152, 100, 145, 105, 150, 101, 146, 94, 139, 99, 144, 95, 140)
	L = (1, 94)(2, 91)(3, 99)(4, 100)(5, 101)(6, 92)(7, 93)(8, 95)(9, 105)(10, 106)(11, 107)(12, 96)(13, 97)(14, 98)(15, 111)(16, 112)(17, 113)(18, 102)(19, 103)(20, 104)(21, 117)(22, 118)(23, 119)(24, 108)(25, 109)(26, 110)(27, 123)(28, 124)(29, 125)(30, 114)(31, 115)(32, 116)(33, 129)(34, 130)(35, 131)(36, 120)(37, 121)(38, 122)(39, 134)(40, 126)(41, 135)(42, 127)(43, 128)(44, 132)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.916
Graph:: bipartite
	v = 4 e = 90 f = 46
	degree seq :: [ 30^3, 90 ]

E21.902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^3 * Y1^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1^15, Y3 * Y1^-14, Y1^15, Y3 * Y2 * Y3^5 * Y2^2 * Y1^-7, Y3^30 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 20, 65, 26, 71, 32, 77, 38, 83, 43, 88, 37, 82, 31, 76, 25, 70, 19, 64, 11, 56, 4, 49)(3, 48, 7, 52, 13, 58, 16, 61, 22, 67, 28, 73, 34, 79, 40, 85, 45, 90, 42, 87, 36, 81, 30, 75, 24, 69, 18, 63, 10, 55)(5, 50, 8, 53, 15, 60, 21, 66, 27, 72, 33, 78, 39, 84, 44, 89, 41, 86, 35, 80, 29, 74, 23, 68, 17, 62, 9, 54, 12, 57)(91, 136, 93, 138, 99, 144, 101, 146, 108, 153, 113, 158, 115, 160, 120, 165, 125, 170, 127, 172, 132, 177, 134, 179, 128, 173, 130, 175, 123, 168, 116, 161, 118, 163, 111, 156, 104, 149, 106, 151, 98, 143, 92, 137, 97, 142, 102, 147, 94, 139, 100, 145, 107, 152, 109, 154, 114, 159, 119, 164, 121, 166, 126, 171, 131, 176, 133, 178, 135, 180, 129, 174, 122, 167, 124, 169, 117, 162, 110, 155, 112, 157, 105, 150, 96, 141, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 107)(10, 108)(11, 109)(12, 99)(13, 97)(14, 96)(15, 98)(16, 103)(17, 113)(18, 114)(19, 115)(20, 104)(21, 105)(22, 106)(23, 119)(24, 120)(25, 121)(26, 110)(27, 111)(28, 112)(29, 125)(30, 126)(31, 127)(32, 116)(33, 117)(34, 118)(35, 131)(36, 132)(37, 133)(38, 122)(39, 123)(40, 124)(41, 134)(42, 135)(43, 128)(44, 129)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.913
Graph:: bipartite
	v = 4 e = 90 f = 46
	degree seq :: [ 30^3, 90 ]

E21.903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^2 * Y3 * Y2^4, Y3^-2 * Y2^-4 * Y3 * Y2^-2, Y2 * Y3^-1 * Y2 * Y1^6 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y1^-1, Y3^-3 * Y2^-1 * Y1 * Y2^-1 * Y3^-4 * Y2^-1, Y3^-3 * Y1 * Y2^-1 * Y1 * Y3^-3 * Y2^-2, Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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 * Y2^-1 * 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, 46, 2, 47, 6, 51, 14, 59, 26, 71, 38, 83, 37, 82, 25, 70, 19, 64, 31, 76, 43, 88, 34, 79, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 27, 72, 39, 84, 36, 81, 24, 69, 13, 58, 18, 63, 30, 75, 42, 87, 45, 90, 33, 78, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 28, 73, 40, 85, 44, 89, 32, 77, 20, 65, 9, 54, 17, 62, 29, 74, 41, 86, 35, 80, 23, 68, 12, 57)(91, 136, 93, 138, 99, 144, 109, 154, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 121, 166, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 133, 178, 132, 177, 118, 163, 104, 149, 117, 162, 131, 176, 124, 169, 135, 180, 130, 175, 116, 161, 129, 174, 125, 170, 112, 157, 123, 168, 134, 179, 128, 173, 126, 171, 113, 158, 101, 146, 111, 156, 122, 167, 127, 172, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 115, 160, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 115)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 134)(33, 135)(34, 133)(35, 131)(36, 129)(37, 128)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 130)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.915
Graph:: bipartite
	v = 4 e = 90 f = 46
	degree seq :: [ 30^3, 90 ]

E21.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y2^-1), Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y2^2 * Y3^2 * Y2^-2 * Y1^2, Y1^2 * Y2^-1 * Y1 * Y2^-8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 25, 70, 28, 73, 35, 80, 42, 87, 45, 90, 39, 84, 30, 75, 19, 64, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 24, 69, 13, 58, 18, 63, 27, 72, 34, 79, 41, 86, 44, 89, 38, 83, 29, 74, 32, 77, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 26, 71, 33, 78, 36, 81, 43, 88, 37, 82, 40, 85, 31, 76, 20, 65, 9, 54, 17, 62, 23, 68, 12, 57)(91, 136, 93, 138, 99, 144, 109, 154, 119, 164, 127, 172, 132, 177, 124, 169, 116, 161, 104, 149, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 120, 165, 128, 173, 133, 178, 125, 170, 117, 162, 106, 151, 96, 141, 105, 150, 113, 158, 101, 146, 111, 156, 121, 166, 129, 174, 134, 179, 126, 171, 118, 163, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 112, 157, 122, 167, 130, 175, 135, 180, 131, 176, 123, 168, 115, 160, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 120)(20, 121)(21, 122)(22, 109)(23, 107)(24, 105)(25, 104)(26, 106)(27, 108)(28, 115)(29, 128)(30, 129)(31, 130)(32, 119)(33, 116)(34, 117)(35, 118)(36, 123)(37, 133)(38, 134)(39, 135)(40, 127)(41, 124)(42, 125)(43, 126)(44, 131)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.912
Graph:: bipartite
	v = 4 e = 90 f = 46
	degree seq :: [ 30^3, 90 ]

E21.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y1^-1, Y2), Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y3 * Y1^-2 * Y2^3 * Y3, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^2 * Y2^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-8 * 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 * Y2^5 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 19, 64, 28, 73, 35, 80, 42, 87, 45, 90, 39, 84, 32, 77, 25, 70, 22, 67, 11, 56, 4, 49)(3, 48, 7, 52, 15, 60, 26, 71, 29, 74, 36, 81, 43, 88, 41, 86, 38, 83, 31, 76, 24, 69, 13, 58, 18, 63, 21, 66, 10, 55)(5, 50, 8, 53, 16, 61, 20, 65, 9, 54, 17, 62, 27, 72, 34, 79, 37, 82, 44, 89, 40, 85, 33, 78, 30, 75, 23, 68, 12, 57)(91, 136, 93, 138, 99, 144, 109, 154, 119, 164, 127, 172, 135, 180, 128, 173, 120, 165, 112, 157, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 118, 163, 126, 171, 134, 179, 129, 174, 121, 166, 113, 158, 101, 146, 111, 156, 106, 151, 96, 141, 105, 150, 117, 162, 125, 170, 133, 178, 130, 175, 122, 167, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 104, 149, 116, 161, 124, 169, 132, 177, 131, 176, 123, 168, 115, 160, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 104)(20, 106)(21, 108)(22, 115)(23, 120)(24, 121)(25, 122)(26, 105)(27, 107)(28, 109)(29, 116)(30, 123)(31, 128)(32, 129)(33, 130)(34, 117)(35, 118)(36, 119)(37, 124)(38, 131)(39, 135)(40, 134)(41, 133)(42, 125)(43, 126)(44, 127)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.917
Graph:: bipartite
	v = 4 e = 90 f = 46
	degree seq :: [ 30^3, 90 ]

E21.906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^20 * Y2 * Y1^2, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 10, 55, 14, 59, 18, 63, 22, 67, 26, 71, 30, 75, 34, 79, 38, 83, 42, 87, 45, 90, 41, 86, 37, 82, 33, 78, 29, 74, 25, 70, 21, 66, 17, 62, 13, 58, 9, 54, 5, 50, 3, 48, 7, 52, 11, 56, 15, 60, 19, 64, 23, 68, 27, 72, 31, 76, 35, 80, 39, 84, 43, 88, 44, 89, 40, 85, 36, 81, 32, 77, 28, 73, 24, 69, 20, 65, 16, 61, 12, 57, 8, 53, 4, 49)(91, 136, 93, 138, 92, 137, 97, 142, 96, 141, 101, 146, 100, 145, 105, 150, 104, 149, 109, 154, 108, 153, 113, 158, 112, 157, 117, 162, 116, 161, 121, 166, 120, 165, 125, 170, 124, 169, 129, 174, 128, 173, 133, 178, 132, 177, 134, 179, 135, 180, 130, 175, 131, 176, 126, 171, 127, 172, 122, 167, 123, 168, 118, 163, 119, 164, 114, 159, 115, 160, 110, 155, 111, 156, 106, 151, 107, 152, 102, 147, 103, 148, 98, 143, 99, 144, 94, 139, 95, 140)
	L = (1, 93)(2, 97)(3, 92)(4, 95)(5, 91)(6, 101)(7, 96)(8, 99)(9, 94)(10, 105)(11, 100)(12, 103)(13, 98)(14, 109)(15, 104)(16, 107)(17, 102)(18, 113)(19, 108)(20, 111)(21, 106)(22, 117)(23, 112)(24, 115)(25, 110)(26, 121)(27, 116)(28, 119)(29, 114)(30, 125)(31, 120)(32, 123)(33, 118)(34, 129)(35, 124)(36, 127)(37, 122)(38, 133)(39, 128)(40, 131)(41, 126)(42, 134)(43, 132)(44, 135)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E21.909
Graph:: bipartite
	v = 2 e = 90 f = 48
	degree seq :: [ 90^2 ]

E21.907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y1, Y1^-11 * Y2, (Y3^-1 * Y1^-1)^15 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 22, 67, 30, 75, 38, 83, 35, 80, 27, 72, 19, 64, 10, 55, 3, 48, 7, 52, 15, 60, 23, 68, 31, 76, 39, 84, 44, 89, 42, 87, 34, 79, 26, 71, 18, 63, 9, 54, 13, 58, 17, 62, 25, 70, 33, 78, 41, 86, 45, 90, 43, 88, 37, 82, 29, 74, 21, 66, 12, 57, 5, 50, 8, 53, 16, 61, 24, 69, 32, 77, 40, 85, 36, 81, 28, 73, 20, 65, 11, 56, 4, 49)(91, 136, 93, 138, 99, 144, 102, 147, 94, 139, 100, 145, 108, 153, 111, 156, 101, 146, 109, 154, 116, 161, 119, 164, 110, 155, 117, 162, 124, 169, 127, 172, 118, 163, 125, 170, 132, 177, 133, 178, 126, 171, 128, 173, 134, 179, 135, 180, 130, 175, 120, 165, 129, 174, 131, 176, 122, 167, 112, 157, 121, 166, 123, 168, 114, 159, 104, 149, 113, 158, 115, 160, 106, 151, 96, 141, 105, 150, 107, 152, 98, 143, 92, 137, 97, 142, 103, 148, 95, 140)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 103)(8, 92)(9, 102)(10, 108)(11, 109)(12, 94)(13, 95)(14, 113)(15, 107)(16, 96)(17, 98)(18, 111)(19, 116)(20, 117)(21, 101)(22, 121)(23, 115)(24, 104)(25, 106)(26, 119)(27, 124)(28, 125)(29, 110)(30, 129)(31, 123)(32, 112)(33, 114)(34, 127)(35, 132)(36, 128)(37, 118)(38, 134)(39, 131)(40, 120)(41, 122)(42, 133)(43, 126)(44, 135)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E21.910
Graph:: bipartite
	v = 2 e = 90 f = 48
	degree seq :: [ 90^2 ]

E21.908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y2^-7 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^4 * Y2^-1, (Y3^-1 * Y1^-1)^15, Y1^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 19, 64, 31, 76, 42, 87, 44, 89, 38, 83, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 28, 73, 35, 80, 20, 65, 9, 54, 17, 62, 29, 74, 41, 86, 45, 90, 39, 84, 24, 69, 13, 58, 18, 63, 30, 75, 36, 81, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 27, 72, 40, 85, 43, 88, 33, 78, 25, 70, 32, 77, 37, 82, 22, 67, 11, 56, 4, 49)(91, 136, 93, 138, 99, 144, 109, 154, 123, 168, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 124, 169, 133, 178, 129, 174, 113, 158, 101, 146, 111, 156, 125, 170, 116, 161, 130, 175, 135, 180, 128, 173, 112, 157, 126, 171, 118, 163, 104, 149, 117, 162, 131, 176, 134, 179, 127, 172, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 132, 177, 122, 167, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 121, 166, 115, 160, 103, 148, 95, 140)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 117)(15, 119)(16, 96)(17, 121)(18, 98)(19, 123)(20, 124)(21, 125)(22, 126)(23, 101)(24, 102)(25, 103)(26, 130)(27, 131)(28, 104)(29, 132)(30, 106)(31, 115)(32, 108)(33, 114)(34, 133)(35, 116)(36, 118)(37, 120)(38, 112)(39, 113)(40, 135)(41, 134)(42, 122)(43, 129)(44, 127)(45, 128)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 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 E21.911
Graph:: bipartite
	v = 2 e = 90 f = 48
	degree seq :: [ 90^2 ]

E21.909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^15, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 102, 147, 108, 153, 114, 159, 120, 165, 126, 171, 130, 175, 124, 169, 118, 163, 112, 157, 106, 151, 100, 145, 94, 139)(93, 138, 97, 142, 103, 148, 109, 154, 115, 160, 121, 166, 127, 172, 132, 177, 134, 179, 129, 174, 123, 168, 117, 162, 111, 156, 105, 150, 99, 144)(95, 140, 98, 143, 104, 149, 110, 155, 116, 161, 122, 167, 128, 173, 133, 178, 135, 180, 131, 176, 125, 170, 119, 164, 113, 158, 107, 152, 101, 146)
	L = (1, 93)(2, 97)(3, 98)(4, 99)(5, 91)(6, 103)(7, 104)(8, 92)(9, 95)(10, 105)(11, 94)(12, 109)(13, 110)(14, 96)(15, 101)(16, 111)(17, 100)(18, 115)(19, 116)(20, 102)(21, 107)(22, 117)(23, 106)(24, 121)(25, 122)(26, 108)(27, 113)(28, 123)(29, 112)(30, 127)(31, 128)(32, 114)(33, 119)(34, 129)(35, 118)(36, 132)(37, 133)(38, 120)(39, 125)(40, 134)(41, 124)(42, 135)(43, 126)(44, 131)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^30 ) }
Outer automorphisms :: reflexible
Dual of E21.906
Graph:: simple bipartite
	v = 48 e = 90 f = 2
	degree seq :: [ 2^45, 30^3 ]

E21.910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), 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^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 102, 147, 108, 153, 114, 159, 120, 165, 126, 171, 131, 176, 125, 170, 119, 164, 113, 158, 107, 152, 101, 146, 94, 139)(93, 138, 97, 142, 103, 148, 109, 154, 115, 160, 121, 166, 127, 172, 132, 177, 135, 180, 130, 175, 124, 169, 118, 163, 112, 157, 106, 151, 100, 145)(95, 140, 98, 143, 104, 149, 110, 155, 116, 161, 122, 167, 128, 173, 133, 178, 134, 179, 129, 174, 123, 168, 117, 162, 111, 156, 105, 150, 99, 144)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 103)(7, 95)(8, 92)(9, 94)(10, 105)(11, 106)(12, 109)(13, 98)(14, 96)(15, 101)(16, 111)(17, 112)(18, 115)(19, 104)(20, 102)(21, 107)(22, 117)(23, 118)(24, 121)(25, 110)(26, 108)(27, 113)(28, 123)(29, 124)(30, 127)(31, 116)(32, 114)(33, 119)(34, 129)(35, 130)(36, 132)(37, 122)(38, 120)(39, 125)(40, 134)(41, 135)(42, 128)(43, 126)(44, 131)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^30 ) }
Outer automorphisms :: reflexible
Dual of E21.907
Graph:: simple bipartite
	v = 48 e = 90 f = 2
	degree seq :: [ 2^45, 30^3 ]

E21.911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y2^2 * Y3 * Y2 * Y3^2 * Y2, Y2^2 * Y3^-1 * Y2 * Y3^-8, (Y2^-1 * Y3)^45, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 104, 149, 115, 160, 118, 163, 125, 170, 132, 177, 135, 180, 129, 174, 120, 165, 109, 154, 112, 157, 101, 146, 94, 139)(93, 138, 97, 142, 105, 150, 114, 159, 103, 148, 108, 153, 117, 162, 124, 169, 131, 176, 134, 179, 128, 173, 119, 164, 122, 167, 111, 156, 100, 145)(95, 140, 98, 143, 106, 151, 116, 161, 123, 168, 126, 171, 133, 178, 127, 172, 130, 175, 121, 166, 110, 155, 99, 144, 107, 152, 113, 158, 102, 147)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 114)(15, 113)(16, 96)(17, 112)(18, 98)(19, 119)(20, 120)(21, 121)(22, 122)(23, 101)(24, 102)(25, 103)(26, 104)(27, 106)(28, 108)(29, 127)(30, 128)(31, 129)(32, 130)(33, 115)(34, 116)(35, 117)(36, 118)(37, 132)(38, 133)(39, 134)(40, 135)(41, 123)(42, 124)(43, 125)(44, 126)(45, 131)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^30 ) }
Outer automorphisms :: reflexible
Dual of E21.908
Graph:: simple bipartite
	v = 48 e = 90 f = 2
	degree seq :: [ 2^45, 30^3 ]

E21.912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-1 * Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^15, (Y3 * Y2^-1)^15, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 3, 48, 7, 52, 12, 57, 9, 54, 13, 58, 18, 63, 15, 60, 19, 64, 24, 69, 21, 66, 25, 70, 30, 75, 27, 72, 31, 76, 36, 81, 33, 78, 37, 82, 42, 87, 39, 84, 43, 88, 45, 90, 41, 86, 44, 89, 40, 85, 35, 80, 38, 83, 34, 79, 29, 74, 32, 77, 28, 73, 23, 68, 26, 71, 22, 67, 17, 62, 20, 65, 16, 61, 11, 56, 14, 59, 10, 55, 5, 50, 8, 53, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 96)(5, 91)(6, 102)(7, 103)(8, 92)(9, 105)(10, 94)(11, 95)(12, 108)(13, 109)(14, 98)(15, 111)(16, 100)(17, 101)(18, 114)(19, 115)(20, 104)(21, 117)(22, 106)(23, 107)(24, 120)(25, 121)(26, 110)(27, 123)(28, 112)(29, 113)(30, 126)(31, 127)(32, 116)(33, 129)(34, 118)(35, 119)(36, 132)(37, 133)(38, 122)(39, 131)(40, 124)(41, 125)(42, 135)(43, 134)(44, 128)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.904
Graph:: bipartite
	v = 46 e = 90 f = 4
	degree seq :: [ 2^45, 90 ]

E21.913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^15, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 5, 50, 8, 53, 12, 57, 11, 56, 14, 59, 18, 63, 17, 62, 20, 65, 24, 69, 23, 68, 26, 71, 30, 75, 29, 74, 32, 77, 36, 81, 35, 80, 38, 83, 42, 87, 41, 86, 44, 89, 45, 90, 39, 84, 43, 88, 40, 85, 33, 78, 37, 82, 34, 79, 27, 72, 31, 76, 28, 73, 21, 66, 25, 70, 22, 67, 15, 60, 19, 64, 16, 61, 9, 54, 13, 58, 10, 55, 3, 48, 7, 52, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 94)(7, 103)(8, 92)(9, 105)(10, 106)(11, 95)(12, 96)(13, 109)(14, 98)(15, 111)(16, 112)(17, 101)(18, 102)(19, 115)(20, 104)(21, 117)(22, 118)(23, 107)(24, 108)(25, 121)(26, 110)(27, 123)(28, 124)(29, 113)(30, 114)(31, 127)(32, 116)(33, 129)(34, 130)(35, 119)(36, 120)(37, 133)(38, 122)(39, 131)(40, 135)(41, 125)(42, 126)(43, 134)(44, 128)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.902
Graph:: bipartite
	v = 46 e = 90 f = 4
	degree seq :: [ 2^45, 90 ]

E21.914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^15, Y3^15, Y3^4 * Y1^-1 * Y3 * Y1^-1 * Y3^7 * Y1^-1 * Y3, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 13, 58, 15, 60, 20, 65, 25, 70, 27, 72, 32, 77, 37, 82, 39, 84, 44, 89, 40, 85, 42, 87, 35, 80, 28, 73, 30, 75, 23, 68, 16, 61, 18, 63, 10, 55, 3, 48, 7, 52, 12, 57, 5, 50, 8, 53, 14, 59, 19, 64, 21, 66, 26, 71, 31, 76, 33, 78, 38, 83, 43, 88, 45, 90, 41, 86, 34, 79, 36, 81, 29, 74, 22, 67, 24, 69, 17, 62, 9, 54, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 102)(7, 101)(8, 92)(9, 106)(10, 107)(11, 108)(12, 94)(13, 95)(14, 96)(15, 98)(16, 112)(17, 113)(18, 114)(19, 103)(20, 104)(21, 105)(22, 118)(23, 119)(24, 120)(25, 109)(26, 110)(27, 111)(28, 124)(29, 125)(30, 126)(31, 115)(32, 116)(33, 117)(34, 130)(35, 131)(36, 132)(37, 121)(38, 122)(39, 123)(40, 133)(41, 134)(42, 135)(43, 127)(44, 128)(45, 129)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.900
Graph:: bipartite
	v = 46 e = 90 f = 4
	degree seq :: [ 2^45, 90 ]

E21.915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-3 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-8 * Y3^-1, (Y3 * Y2^-1)^15, (Y1^-1 * Y3^-1)^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 42, 87, 41, 86, 33, 78, 25, 70, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 27, 72, 35, 80, 43, 88, 40, 85, 32, 77, 24, 69, 13, 58, 18, 63, 20, 65, 9, 54, 17, 62, 28, 73, 36, 81, 44, 89, 39, 84, 31, 76, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 19, 64, 29, 74, 37, 82, 45, 90, 38, 83, 30, 75, 22, 67, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 117)(15, 118)(16, 96)(17, 119)(18, 98)(19, 104)(20, 106)(21, 108)(22, 115)(23, 101)(24, 102)(25, 103)(26, 125)(27, 126)(28, 127)(29, 116)(30, 123)(31, 112)(32, 113)(33, 114)(34, 133)(35, 134)(36, 135)(37, 124)(38, 131)(39, 120)(40, 121)(41, 122)(42, 130)(43, 129)(44, 128)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.903
Graph:: bipartite
	v = 46 e = 90 f = 4
	degree seq :: [ 2^45, 90 ]

E21.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3 * Y1^2 * Y3, Y1^-9 * Y3^3, Y3^2 * Y1^-1 * Y3 * Y1^-8, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 42, 87, 38, 83, 30, 75, 19, 64, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 27, 72, 35, 80, 43, 88, 39, 84, 31, 76, 20, 65, 9, 54, 17, 62, 24, 69, 13, 58, 18, 63, 28, 73, 36, 81, 44, 89, 40, 85, 32, 77, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 25, 70, 29, 74, 37, 82, 45, 90, 41, 86, 33, 78, 22, 67, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 115)(15, 114)(16, 96)(17, 113)(18, 98)(19, 112)(20, 120)(21, 121)(22, 122)(23, 101)(24, 102)(25, 103)(26, 119)(27, 104)(28, 106)(29, 108)(30, 123)(31, 128)(32, 129)(33, 130)(34, 127)(35, 116)(36, 117)(37, 118)(38, 131)(39, 132)(40, 133)(41, 134)(42, 135)(43, 124)(44, 125)(45, 126)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.901
Graph:: bipartite
	v = 46 e = 90 f = 4
	degree seq :: [ 2^45, 90 ]

E21.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {15, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y1 * Y3^-2 * Y1^3 * Y3 * Y1^2, Y1^2 * Y3 * Y1 * Y3^6, (Y3 * Y2^-1)^15, Y3^2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 * Y3^-2 * Y1^-2 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 26, 71, 33, 78, 20, 65, 9, 54, 17, 62, 27, 72, 38, 83, 45, 90, 32, 77, 19, 64, 29, 74, 39, 84, 37, 82, 42, 87, 44, 89, 31, 76, 41, 86, 36, 81, 25, 70, 30, 75, 40, 85, 43, 88, 35, 80, 24, 69, 13, 58, 18, 63, 28, 73, 34, 79, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 22, 67, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 116)(15, 117)(16, 96)(17, 119)(18, 98)(19, 121)(20, 122)(21, 123)(22, 104)(23, 101)(24, 102)(25, 103)(26, 128)(27, 129)(28, 106)(29, 131)(30, 108)(31, 133)(32, 134)(33, 135)(34, 112)(35, 113)(36, 114)(37, 115)(38, 127)(39, 126)(40, 118)(41, 125)(42, 120)(43, 124)(44, 130)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 30, 90 ), ( 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90, 30, 90 ) }
Outer automorphisms :: reflexible
Dual of E21.905
Graph:: bipartite
	v = 46 e = 90 f = 4
	degree seq :: [ 2^45, 90 ]

E21.918 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^3, Y1 * Y2^-2, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2^-1 * Y3^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 5, 53)(2, 50, 6, 54, 17, 65, 7, 55)(3, 51, 8, 56, 22, 70, 9, 57)(10, 58, 24, 72, 42, 90, 25, 73)(11, 59, 18, 66, 35, 83, 26, 74)(13, 61, 29, 77, 38, 86, 21, 69)(14, 62, 30, 78, 31, 79, 15, 63)(16, 64, 23, 71, 41, 89, 32, 80)(19, 67, 36, 84, 37, 85, 20, 68)(27, 75, 44, 92, 40, 88, 45, 93)(28, 76, 43, 91, 33, 81, 46, 94)(34, 82, 47, 95, 39, 87, 48, 96)(97, 98, 99)(100, 106, 107)(101, 109, 110)(102, 111, 112)(103, 114, 115)(104, 116, 117)(105, 119, 120)(108, 123, 124)(113, 129, 130)(118, 135, 136)(121, 139, 132)(122, 137, 140)(125, 142, 128)(126, 133, 141)(127, 143, 138)(131, 144, 134)(145, 147, 146)(148, 155, 154)(149, 158, 157)(150, 160, 159)(151, 163, 162)(152, 165, 164)(153, 168, 167)(156, 172, 171)(161, 178, 177)(166, 184, 183)(169, 180, 187)(170, 188, 185)(173, 176, 190)(174, 189, 181)(175, 186, 191)(179, 182, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.925
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.919 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y1^-1 * Y3^-2 * Y1^-1 * Y2, Y3^-2 * Y2 * Y1^-1 * Y2, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 18, 66, 7, 55)(2, 50, 9, 57, 14, 62, 11, 59)(3, 51, 13, 61, 10, 58, 15, 63)(5, 53, 22, 70, 24, 72, 23, 71)(6, 54, 25, 73, 21, 69, 26, 74)(8, 56, 31, 79, 12, 60, 32, 80)(16, 64, 42, 90, 30, 78, 47, 95)(17, 65, 33, 81, 29, 77, 40, 88)(19, 67, 37, 85, 28, 76, 36, 84)(20, 68, 46, 94, 27, 75, 43, 91)(34, 82, 44, 92, 39, 87, 45, 93)(35, 83, 48, 96, 38, 86, 41, 89)(97, 98, 101)(99, 108, 110)(100, 112, 115)(102, 120, 104)(103, 123, 125)(105, 129, 131)(106, 114, 117)(107, 133, 135)(109, 137, 139)(111, 141, 143)(113, 128, 126)(116, 124, 127)(118, 140, 142)(119, 144, 138)(121, 136, 130)(122, 132, 134)(145, 147, 150)(146, 152, 154)(148, 161, 164)(149, 165, 156)(151, 172, 174)(153, 178, 180)(155, 182, 184)(157, 186, 188)(158, 162, 168)(159, 190, 192)(160, 175, 173)(163, 171, 176)(166, 191, 185)(167, 187, 189)(169, 179, 181)(170, 183, 177)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.927
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.920 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2 * Y1)^2, Y1 * Y3^-2 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3, (Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 7, 55)(2, 50, 9, 57, 6, 54, 11, 59)(3, 51, 13, 61, 23, 71, 15, 63)(5, 53, 21, 69, 10, 58, 22, 70)(8, 56, 26, 74, 32, 80, 27, 75)(14, 62, 39, 87, 20, 68, 40, 88)(16, 64, 43, 91, 19, 67, 37, 85)(17, 65, 31, 79, 45, 93, 28, 76)(18, 66, 33, 81, 44, 92, 34, 82)(24, 72, 36, 84, 25, 73, 46, 94)(29, 77, 35, 83, 48, 96, 38, 86)(30, 78, 42, 90, 47, 95, 41, 89)(97, 98, 101)(99, 108, 110)(100, 112, 114)(102, 119, 104)(103, 120, 113)(105, 124, 126)(106, 128, 116)(107, 129, 125)(109, 131, 133)(111, 137, 132)(115, 141, 122)(117, 134, 142)(118, 138, 139)(121, 140, 123)(127, 144, 136)(130, 143, 135)(145, 147, 150)(146, 152, 154)(148, 161, 163)(149, 164, 156)(151, 162, 169)(153, 173, 175)(155, 174, 178)(157, 180, 182)(158, 176, 167)(159, 181, 186)(160, 170, 188)(165, 187, 179)(166, 190, 185)(168, 171, 189)(172, 184, 191)(177, 183, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.926
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.921 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^-2 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 8, 56, 7, 55)(2, 50, 9, 57, 20, 68, 11, 59)(3, 51, 13, 61, 5, 53, 15, 63)(6, 54, 22, 70, 14, 62, 23, 71)(10, 58, 31, 79, 21, 69, 32, 80)(12, 60, 35, 83, 30, 78, 36, 84)(16, 64, 39, 87, 45, 93, 38, 86)(17, 65, 43, 91, 18, 66, 29, 77)(19, 67, 41, 89, 44, 92, 42, 90)(24, 72, 26, 74, 25, 73, 46, 94)(27, 75, 47, 95, 28, 76, 37, 85)(33, 81, 40, 88, 34, 82, 48, 96)(97, 98, 101)(99, 108, 110)(100, 112, 114)(102, 117, 104)(103, 115, 121)(105, 122, 124)(106, 126, 116)(107, 125, 130)(109, 133, 135)(111, 136, 138)(113, 131, 140)(118, 139, 123)(119, 142, 129)(120, 132, 141)(127, 143, 137)(128, 144, 134)(145, 147, 150)(146, 152, 154)(148, 161, 163)(149, 164, 156)(151, 168, 160)(153, 171, 173)(155, 177, 170)(157, 182, 184)(158, 174, 165)(159, 185, 181)(162, 189, 179)(166, 172, 190)(167, 178, 187)(169, 188, 180)(175, 186, 192)(176, 183, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.928
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.922 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 18, 66, 7, 55)(2, 50, 9, 57, 38, 86, 11, 59)(3, 51, 13, 61, 19, 67, 15, 63)(5, 53, 22, 70, 30, 78, 24, 72)(6, 54, 26, 74, 33, 81, 28, 76)(8, 56, 34, 82, 39, 87, 35, 83)(10, 58, 17, 65, 48, 96, 41, 89)(12, 60, 44, 92, 23, 71, 37, 85)(14, 62, 20, 68, 29, 77, 21, 69)(16, 64, 45, 93, 46, 94, 32, 80)(25, 73, 43, 91, 36, 84, 31, 79)(27, 75, 47, 95, 42, 90, 40, 88)(97, 98, 101)(99, 108, 110)(100, 112, 115)(102, 121, 123)(103, 125, 127)(104, 129, 109)(105, 132, 135)(106, 136, 128)(107, 111, 138)(113, 140, 134)(114, 122, 137)(116, 118, 143)(117, 144, 130)(119, 142, 139)(120, 131, 141)(124, 126, 133)(145, 147, 150)(146, 152, 154)(148, 161, 164)(149, 165, 167)(151, 174, 176)(153, 181, 163)(155, 162, 187)(156, 185, 189)(157, 190, 191)(158, 184, 180)(159, 173, 179)(160, 178, 169)(166, 170, 183)(168, 182, 171)(172, 186, 192)(175, 177, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.929
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.923 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^4, (Y1^-1, Y2^-1), Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 14, 62, 16, 64)(5, 53, 20, 68, 22, 70)(6, 54, 17, 65, 23, 71)(8, 56, 27, 75, 29, 77)(9, 57, 31, 79, 32, 80)(11, 59, 18, 66, 25, 73)(13, 61, 35, 83, 37, 85)(15, 63, 19, 67, 24, 72)(21, 69, 42, 90, 44, 92)(26, 74, 43, 91, 45, 93)(28, 76, 33, 81, 34, 82)(30, 78, 40, 88, 46, 94)(36, 84, 38, 86, 39, 87)(41, 89, 47, 95, 48, 96)(97, 98, 104, 101)(99, 105, 122, 111)(100, 113, 131, 110)(102, 107, 124, 117)(103, 120, 143, 121)(106, 114, 136, 127)(108, 112, 135, 130)(109, 126, 144, 132)(115, 116, 138, 134)(118, 141, 142, 119)(123, 129, 137, 139)(125, 128, 133, 140)(145, 147, 157, 150)(146, 153, 174, 155)(148, 162, 185, 163)(149, 159, 180, 165)(151, 166, 173, 156)(152, 170, 192, 172)(154, 177, 182, 158)(160, 168, 189, 176)(161, 184, 187, 164)(167, 188, 178, 169)(171, 186, 179, 175)(181, 183, 191, 190)
	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 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.930
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.924 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3 * Y1^-1, Y1^4, (R * Y3)^2, Y2^4, (Y2^-1, Y1^-1), Y2 * Y1 * Y3^-1 * Y1 * Y3, Y2^-2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 14, 62, 16, 64)(5, 53, 20, 68, 22, 70)(6, 54, 18, 66, 23, 71)(8, 56, 27, 75, 29, 77)(9, 57, 19, 67, 25, 73)(11, 59, 31, 79, 33, 81)(13, 61, 35, 83, 37, 85)(15, 63, 39, 87, 40, 88)(17, 65, 24, 72, 21, 69)(26, 74, 32, 80, 34, 82)(28, 76, 44, 92, 45, 93)(30, 78, 38, 86, 41, 89)(36, 84, 43, 91, 46, 94)(42, 90, 47, 95, 48, 96)(97, 98, 104, 101)(99, 105, 122, 111)(100, 110, 131, 114)(102, 107, 124, 117)(103, 120, 143, 121)(106, 115, 134, 127)(108, 119, 142, 130)(109, 126, 144, 132)(112, 118, 141, 137)(113, 116, 135, 139)(123, 128, 138, 140)(125, 129, 133, 136)(145, 147, 157, 150)(146, 153, 174, 155)(148, 161, 186, 163)(149, 159, 180, 165)(151, 156, 173, 166)(152, 170, 192, 172)(154, 162, 187, 176)(158, 164, 188, 182)(160, 169, 178, 184)(167, 177, 189, 168)(171, 175, 179, 183)(181, 185, 191, 190)
	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 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.931
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.925 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^3, Y1 * Y2^-2, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2^-1 * Y3^-1 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 6, 54, 102, 150, 17, 65, 113, 161, 7, 55, 103, 151)(3, 51, 99, 147, 8, 56, 104, 152, 22, 70, 118, 166, 9, 57, 105, 153)(10, 58, 106, 154, 24, 72, 120, 168, 42, 90, 138, 186, 25, 73, 121, 169)(11, 59, 107, 155, 18, 66, 114, 162, 35, 83, 131, 179, 26, 74, 122, 170)(13, 61, 109, 157, 29, 77, 125, 173, 38, 86, 134, 182, 21, 69, 117, 165)(14, 62, 110, 158, 30, 78, 126, 174, 31, 79, 127, 175, 15, 63, 111, 159)(16, 64, 112, 160, 23, 71, 119, 167, 41, 89, 137, 185, 32, 80, 128, 176)(19, 67, 115, 163, 36, 84, 132, 180, 37, 85, 133, 181, 20, 68, 116, 164)(27, 75, 123, 171, 44, 92, 140, 188, 40, 88, 136, 184, 45, 93, 141, 189)(28, 76, 124, 172, 43, 91, 139, 187, 33, 81, 129, 177, 46, 94, 142, 190)(34, 82, 130, 178, 47, 95, 143, 191, 39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 58)(5, 61)(6, 63)(7, 66)(8, 68)(9, 71)(10, 59)(11, 52)(12, 75)(13, 62)(14, 53)(15, 64)(16, 54)(17, 81)(18, 67)(19, 55)(20, 69)(21, 56)(22, 87)(23, 72)(24, 57)(25, 91)(26, 89)(27, 76)(28, 60)(29, 94)(30, 85)(31, 95)(32, 77)(33, 82)(34, 65)(35, 96)(36, 73)(37, 93)(38, 83)(39, 88)(40, 70)(41, 92)(42, 79)(43, 84)(44, 74)(45, 78)(46, 80)(47, 90)(48, 86)(97, 147)(98, 145)(99, 146)(100, 155)(101, 158)(102, 160)(103, 163)(104, 165)(105, 168)(106, 148)(107, 154)(108, 172)(109, 149)(110, 157)(111, 150)(112, 159)(113, 178)(114, 151)(115, 162)(116, 152)(117, 164)(118, 184)(119, 153)(120, 167)(121, 180)(122, 188)(123, 156)(124, 171)(125, 176)(126, 189)(127, 186)(128, 190)(129, 161)(130, 177)(131, 182)(132, 187)(133, 174)(134, 192)(135, 166)(136, 183)(137, 170)(138, 191)(139, 169)(140, 185)(141, 181)(142, 173)(143, 175)(144, 179)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.918
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.926 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y1^-1 * Y3^-2 * Y1^-1 * Y2, Y3^-2 * Y2 * Y1^-1 * Y2, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 18, 66, 114, 162, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 14, 62, 110, 158, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 10, 58, 106, 154, 15, 63, 111, 159)(5, 53, 101, 149, 22, 70, 118, 166, 24, 72, 120, 168, 23, 71, 119, 167)(6, 54, 102, 150, 25, 73, 121, 169, 21, 69, 117, 165, 26, 74, 122, 170)(8, 56, 104, 152, 31, 79, 127, 175, 12, 60, 108, 156, 32, 80, 128, 176)(16, 64, 112, 160, 42, 90, 138, 186, 30, 78, 126, 174, 47, 95, 143, 191)(17, 65, 113, 161, 33, 81, 129, 177, 29, 77, 125, 173, 40, 88, 136, 184)(19, 67, 115, 163, 37, 85, 133, 181, 28, 76, 124, 172, 36, 84, 132, 180)(20, 68, 116, 164, 46, 94, 142, 190, 27, 75, 123, 171, 43, 91, 139, 187)(34, 82, 130, 178, 44, 92, 140, 188, 39, 87, 135, 183, 45, 93, 141, 189)(35, 83, 131, 179, 48, 96, 144, 192, 38, 86, 134, 182, 41, 89, 137, 185)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 72)(7, 75)(8, 54)(9, 81)(10, 66)(11, 85)(12, 62)(13, 89)(14, 51)(15, 93)(16, 67)(17, 80)(18, 69)(19, 52)(20, 76)(21, 58)(22, 92)(23, 96)(24, 56)(25, 88)(26, 84)(27, 77)(28, 79)(29, 55)(30, 65)(31, 68)(32, 78)(33, 83)(34, 73)(35, 57)(36, 86)(37, 87)(38, 74)(39, 59)(40, 82)(41, 91)(42, 71)(43, 61)(44, 94)(45, 95)(46, 70)(47, 63)(48, 90)(97, 147)(98, 152)(99, 150)(100, 161)(101, 165)(102, 145)(103, 172)(104, 154)(105, 178)(106, 146)(107, 182)(108, 149)(109, 186)(110, 162)(111, 190)(112, 175)(113, 164)(114, 168)(115, 171)(116, 148)(117, 156)(118, 191)(119, 187)(120, 158)(121, 179)(122, 183)(123, 176)(124, 174)(125, 160)(126, 151)(127, 173)(128, 163)(129, 170)(130, 180)(131, 181)(132, 153)(133, 169)(134, 184)(135, 177)(136, 155)(137, 166)(138, 188)(139, 189)(140, 157)(141, 167)(142, 192)(143, 185)(144, 159)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.920
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.927 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2 * Y1)^2, Y1 * Y3^-2 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3, (Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 6, 54, 102, 150, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 23, 71, 119, 167, 15, 63, 111, 159)(5, 53, 101, 149, 21, 69, 117, 165, 10, 58, 106, 154, 22, 70, 118, 166)(8, 56, 104, 152, 26, 74, 122, 170, 32, 80, 128, 176, 27, 75, 123, 171)(14, 62, 110, 158, 39, 87, 135, 183, 20, 68, 116, 164, 40, 88, 136, 184)(16, 64, 112, 160, 43, 91, 139, 187, 19, 67, 115, 163, 37, 85, 133, 181)(17, 65, 113, 161, 31, 79, 127, 175, 45, 93, 141, 189, 28, 76, 124, 172)(18, 66, 114, 162, 33, 81, 129, 177, 44, 92, 140, 188, 34, 82, 130, 178)(24, 72, 120, 168, 36, 84, 132, 180, 25, 73, 121, 169, 46, 94, 142, 190)(29, 77, 125, 173, 35, 83, 131, 179, 48, 96, 144, 192, 38, 86, 134, 182)(30, 78, 126, 174, 42, 90, 138, 186, 47, 95, 143, 191, 41, 89, 137, 185)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 71)(7, 72)(8, 54)(9, 76)(10, 80)(11, 81)(12, 62)(13, 83)(14, 51)(15, 89)(16, 66)(17, 55)(18, 52)(19, 93)(20, 58)(21, 86)(22, 90)(23, 56)(24, 65)(25, 92)(26, 67)(27, 73)(28, 78)(29, 59)(30, 57)(31, 96)(32, 68)(33, 77)(34, 95)(35, 85)(36, 63)(37, 61)(38, 94)(39, 82)(40, 79)(41, 84)(42, 91)(43, 70)(44, 75)(45, 74)(46, 69)(47, 87)(48, 88)(97, 147)(98, 152)(99, 150)(100, 161)(101, 164)(102, 145)(103, 162)(104, 154)(105, 173)(106, 146)(107, 174)(108, 149)(109, 180)(110, 176)(111, 181)(112, 170)(113, 163)(114, 169)(115, 148)(116, 156)(117, 187)(118, 190)(119, 158)(120, 171)(121, 151)(122, 188)(123, 189)(124, 184)(125, 175)(126, 178)(127, 153)(128, 167)(129, 183)(130, 155)(131, 165)(132, 182)(133, 186)(134, 157)(135, 192)(136, 191)(137, 166)(138, 159)(139, 179)(140, 160)(141, 168)(142, 185)(143, 172)(144, 177)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.919
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.928 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^-2 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 8, 56, 104, 152, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 20, 68, 116, 164, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 5, 53, 101, 149, 15, 63, 111, 159)(6, 54, 102, 150, 22, 70, 118, 166, 14, 62, 110, 158, 23, 71, 119, 167)(10, 58, 106, 154, 31, 79, 127, 175, 21, 69, 117, 165, 32, 80, 128, 176)(12, 60, 108, 156, 35, 83, 131, 179, 30, 78, 126, 174, 36, 84, 132, 180)(16, 64, 112, 160, 39, 87, 135, 183, 45, 93, 141, 189, 38, 86, 134, 182)(17, 65, 113, 161, 43, 91, 139, 187, 18, 66, 114, 162, 29, 77, 125, 173)(19, 67, 115, 163, 41, 89, 137, 185, 44, 92, 140, 188, 42, 90, 138, 186)(24, 72, 120, 168, 26, 74, 122, 170, 25, 73, 121, 169, 46, 94, 142, 190)(27, 75, 123, 171, 47, 95, 143, 191, 28, 76, 124, 172, 37, 85, 133, 181)(33, 81, 129, 177, 40, 88, 136, 184, 34, 82, 130, 178, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 69)(7, 67)(8, 54)(9, 74)(10, 78)(11, 77)(12, 62)(13, 85)(14, 51)(15, 88)(16, 66)(17, 83)(18, 52)(19, 73)(20, 58)(21, 56)(22, 91)(23, 94)(24, 84)(25, 55)(26, 76)(27, 70)(28, 57)(29, 82)(30, 68)(31, 95)(32, 96)(33, 71)(34, 59)(35, 92)(36, 93)(37, 87)(38, 80)(39, 61)(40, 90)(41, 79)(42, 63)(43, 75)(44, 65)(45, 72)(46, 81)(47, 89)(48, 86)(97, 147)(98, 152)(99, 150)(100, 161)(101, 164)(102, 145)(103, 168)(104, 154)(105, 171)(106, 146)(107, 177)(108, 149)(109, 182)(110, 174)(111, 185)(112, 151)(113, 163)(114, 189)(115, 148)(116, 156)(117, 158)(118, 172)(119, 178)(120, 160)(121, 188)(122, 155)(123, 173)(124, 190)(125, 153)(126, 165)(127, 186)(128, 183)(129, 170)(130, 187)(131, 162)(132, 169)(133, 159)(134, 184)(135, 191)(136, 157)(137, 181)(138, 192)(139, 167)(140, 180)(141, 179)(142, 166)(143, 176)(144, 175)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.921
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.929 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 18, 66, 114, 162, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 38, 86, 134, 182, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 19, 67, 115, 163, 15, 63, 111, 159)(5, 53, 101, 149, 22, 70, 118, 166, 30, 78, 126, 174, 24, 72, 120, 168)(6, 54, 102, 150, 26, 74, 122, 170, 33, 81, 129, 177, 28, 76, 124, 172)(8, 56, 104, 152, 34, 82, 130, 178, 39, 87, 135, 183, 35, 83, 131, 179)(10, 58, 106, 154, 17, 65, 113, 161, 48, 96, 144, 192, 41, 89, 137, 185)(12, 60, 108, 156, 44, 92, 140, 188, 23, 71, 119, 167, 37, 85, 133, 181)(14, 62, 110, 158, 20, 68, 116, 164, 29, 77, 125, 173, 21, 69, 117, 165)(16, 64, 112, 160, 45, 93, 141, 189, 46, 94, 142, 190, 32, 80, 128, 176)(25, 73, 121, 169, 43, 91, 139, 187, 36, 84, 132, 180, 31, 79, 127, 175)(27, 75, 123, 171, 47, 95, 143, 191, 42, 90, 138, 186, 40, 88, 136, 184)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 73)(7, 77)(8, 81)(9, 84)(10, 88)(11, 63)(12, 62)(13, 56)(14, 51)(15, 90)(16, 67)(17, 92)(18, 74)(19, 52)(20, 70)(21, 96)(22, 95)(23, 94)(24, 83)(25, 75)(26, 89)(27, 54)(28, 78)(29, 79)(30, 85)(31, 55)(32, 58)(33, 61)(34, 69)(35, 93)(36, 87)(37, 76)(38, 65)(39, 57)(40, 80)(41, 66)(42, 59)(43, 71)(44, 86)(45, 72)(46, 91)(47, 68)(48, 82)(97, 147)(98, 152)(99, 150)(100, 161)(101, 165)(102, 145)(103, 174)(104, 154)(105, 181)(106, 146)(107, 162)(108, 185)(109, 190)(110, 184)(111, 173)(112, 178)(113, 164)(114, 187)(115, 153)(116, 148)(117, 167)(118, 170)(119, 149)(120, 182)(121, 160)(122, 183)(123, 168)(124, 186)(125, 179)(126, 176)(127, 177)(128, 151)(129, 188)(130, 169)(131, 159)(132, 158)(133, 163)(134, 171)(135, 166)(136, 180)(137, 189)(138, 192)(139, 155)(140, 175)(141, 156)(142, 191)(143, 157)(144, 172)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.922
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.930 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^4, (Y1^-1, Y2^-1), Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 14, 62, 110, 158, 16, 64, 112, 160)(5, 53, 101, 149, 20, 68, 116, 164, 22, 70, 118, 166)(6, 54, 102, 150, 17, 65, 113, 161, 23, 71, 119, 167)(8, 56, 104, 152, 27, 75, 123, 171, 29, 77, 125, 173)(9, 57, 105, 153, 31, 79, 127, 175, 32, 80, 128, 176)(11, 59, 107, 155, 18, 66, 114, 162, 25, 73, 121, 169)(13, 61, 109, 157, 35, 83, 131, 179, 37, 85, 133, 181)(15, 63, 111, 159, 19, 67, 115, 163, 24, 72, 120, 168)(21, 69, 117, 165, 42, 90, 138, 186, 44, 92, 140, 188)(26, 74, 122, 170, 43, 91, 139, 187, 45, 93, 141, 189)(28, 76, 124, 172, 33, 81, 129, 177, 34, 82, 130, 178)(30, 78, 126, 174, 40, 88, 136, 184, 46, 94, 142, 190)(36, 84, 132, 180, 38, 86, 134, 182, 39, 87, 135, 183)(41, 89, 137, 185, 47, 95, 143, 191, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 57)(4, 65)(5, 49)(6, 59)(7, 72)(8, 53)(9, 74)(10, 66)(11, 76)(12, 64)(13, 78)(14, 52)(15, 51)(16, 87)(17, 83)(18, 88)(19, 68)(20, 90)(21, 54)(22, 93)(23, 70)(24, 95)(25, 55)(26, 63)(27, 81)(28, 69)(29, 80)(30, 96)(31, 58)(32, 85)(33, 89)(34, 60)(35, 62)(36, 61)(37, 92)(38, 67)(39, 82)(40, 79)(41, 91)(42, 86)(43, 75)(44, 77)(45, 94)(46, 71)(47, 73)(48, 84)(97, 147)(98, 153)(99, 157)(100, 162)(101, 159)(102, 145)(103, 166)(104, 170)(105, 174)(106, 177)(107, 146)(108, 151)(109, 150)(110, 154)(111, 180)(112, 168)(113, 184)(114, 185)(115, 148)(116, 161)(117, 149)(118, 173)(119, 188)(120, 189)(121, 167)(122, 192)(123, 186)(124, 152)(125, 156)(126, 155)(127, 171)(128, 160)(129, 182)(130, 169)(131, 175)(132, 165)(133, 183)(134, 158)(135, 191)(136, 187)(137, 163)(138, 179)(139, 164)(140, 178)(141, 176)(142, 181)(143, 190)(144, 172)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.923
Transitivity :: VT+
Graph::
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.931 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3^3, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3 * Y1^-1, Y1^4, (R * Y3)^2, Y2^4, (Y2^-1, Y1^-1), Y2 * Y1 * Y3^-1 * Y1 * Y3, Y2^-2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 14, 62, 110, 158, 16, 64, 112, 160)(5, 53, 101, 149, 20, 68, 116, 164, 22, 70, 118, 166)(6, 54, 102, 150, 18, 66, 114, 162, 23, 71, 119, 167)(8, 56, 104, 152, 27, 75, 123, 171, 29, 77, 125, 173)(9, 57, 105, 153, 19, 67, 115, 163, 25, 73, 121, 169)(11, 59, 107, 155, 31, 79, 127, 175, 33, 81, 129, 177)(13, 61, 109, 157, 35, 83, 131, 179, 37, 85, 133, 181)(15, 63, 111, 159, 39, 87, 135, 183, 40, 88, 136, 184)(17, 65, 113, 161, 24, 72, 120, 168, 21, 69, 117, 165)(26, 74, 122, 170, 32, 80, 128, 176, 34, 82, 130, 178)(28, 76, 124, 172, 44, 92, 140, 188, 45, 93, 141, 189)(30, 78, 126, 174, 38, 86, 134, 182, 41, 89, 137, 185)(36, 84, 132, 180, 43, 91, 139, 187, 46, 94, 142, 190)(42, 90, 138, 186, 47, 95, 143, 191, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 57)(4, 62)(5, 49)(6, 59)(7, 72)(8, 53)(9, 74)(10, 67)(11, 76)(12, 71)(13, 78)(14, 83)(15, 51)(16, 70)(17, 68)(18, 52)(19, 86)(20, 87)(21, 54)(22, 93)(23, 94)(24, 95)(25, 55)(26, 63)(27, 80)(28, 69)(29, 81)(30, 96)(31, 58)(32, 90)(33, 85)(34, 60)(35, 66)(36, 61)(37, 88)(38, 79)(39, 91)(40, 77)(41, 64)(42, 92)(43, 65)(44, 75)(45, 89)(46, 82)(47, 73)(48, 84)(97, 147)(98, 153)(99, 157)(100, 161)(101, 159)(102, 145)(103, 156)(104, 170)(105, 174)(106, 162)(107, 146)(108, 173)(109, 150)(110, 164)(111, 180)(112, 169)(113, 186)(114, 187)(115, 148)(116, 188)(117, 149)(118, 151)(119, 177)(120, 167)(121, 178)(122, 192)(123, 175)(124, 152)(125, 166)(126, 155)(127, 179)(128, 154)(129, 189)(130, 184)(131, 183)(132, 165)(133, 185)(134, 158)(135, 171)(136, 160)(137, 191)(138, 163)(139, 176)(140, 182)(141, 168)(142, 181)(143, 190)(144, 172)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.924
Transitivity :: VT+
Graph::
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|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, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 25, 73, 27, 75)(12, 60, 28, 76, 20, 68)(16, 64, 32, 80, 33, 81)(21, 69, 38, 86, 36, 84)(24, 72, 42, 90, 39, 87)(26, 74, 44, 92, 45, 93)(29, 77, 41, 89, 34, 82)(30, 78, 43, 91, 40, 88)(31, 79, 47, 95, 37, 85)(35, 83, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 122, 170, 108, 156)(104, 152, 116, 164, 133, 181, 117, 165)(106, 154, 114, 162, 131, 179, 120, 168)(109, 157, 125, 173, 142, 190, 123, 171)(110, 158, 126, 174, 127, 175, 111, 159)(113, 161, 124, 172, 138, 186, 130, 178)(115, 163, 132, 180, 139, 187, 121, 169)(118, 166, 135, 183, 141, 189, 136, 184)(119, 167, 134, 182, 128, 176, 137, 185)(129, 177, 143, 191, 140, 188, 144, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y3 * Y2^-1, Y1^3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y2 * Y1)^3, (Y3 * Y1^-1)^3, Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 11, 59)(4, 52, 12, 60, 13, 61)(6, 54, 17, 65, 18, 66)(7, 55, 19, 67, 20, 68)(8, 56, 21, 69, 22, 70)(9, 57, 23, 71, 24, 72)(14, 62, 35, 83, 36, 84)(15, 63, 37, 85, 31, 79)(16, 64, 38, 86, 25, 73)(26, 74, 42, 90, 45, 93)(27, 75, 33, 81, 47, 95)(28, 76, 46, 94, 40, 88)(29, 77, 43, 91, 30, 78)(32, 80, 41, 89, 48, 96)(34, 82, 44, 92, 39, 87)(97, 145, 99, 147, 100, 148, 102, 150)(98, 146, 103, 151, 104, 152, 105, 153)(101, 149, 110, 158, 111, 159, 112, 160)(106, 154, 121, 169, 122, 170, 123, 171)(107, 155, 119, 167, 124, 172, 125, 173)(108, 156, 126, 174, 127, 175, 128, 176)(109, 157, 129, 177, 117, 165, 130, 178)(113, 161, 135, 183, 136, 184, 132, 180)(114, 162, 137, 185, 138, 186, 115, 163)(116, 164, 134, 182, 139, 187, 140, 188)(118, 166, 141, 189, 133, 181, 142, 190)(120, 168, 143, 191, 144, 192, 131, 179)
	L = (1, 100)(2, 104)(3, 102)(4, 97)(5, 111)(6, 99)(7, 105)(8, 98)(9, 103)(10, 122)(11, 124)(12, 127)(13, 117)(14, 112)(15, 101)(16, 110)(17, 136)(18, 138)(19, 137)(20, 139)(21, 109)(22, 133)(23, 125)(24, 144)(25, 123)(26, 106)(27, 121)(28, 107)(29, 119)(30, 128)(31, 108)(32, 126)(33, 130)(34, 129)(35, 143)(36, 135)(37, 118)(38, 140)(39, 132)(40, 113)(41, 115)(42, 114)(43, 116)(44, 134)(45, 142)(46, 141)(47, 131)(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, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.934 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 5, 53)(2, 50, 6, 54, 17, 65, 7, 55)(3, 51, 8, 56, 22, 70, 9, 57)(10, 58, 25, 73, 13, 61, 26, 74)(11, 59, 27, 75, 14, 62, 28, 76)(15, 63, 29, 77, 18, 66, 30, 78)(16, 64, 31, 79, 19, 67, 32, 80)(20, 68, 33, 81, 23, 71, 34, 82)(21, 69, 35, 83, 24, 72, 36, 84)(37, 85, 43, 91, 38, 86, 44, 92)(39, 87, 45, 93, 40, 88, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 98, 99)(100, 106, 107)(101, 109, 110)(102, 111, 112)(103, 114, 115)(104, 116, 117)(105, 119, 120)(108, 113, 118)(121, 132, 133)(122, 131, 134)(123, 135, 126)(124, 136, 125)(127, 137, 130)(128, 138, 129)(139, 144, 142)(140, 143, 141)(145, 147, 146)(148, 155, 154)(149, 158, 157)(150, 160, 159)(151, 163, 162)(152, 165, 164)(153, 168, 167)(156, 166, 161)(169, 181, 180)(170, 182, 179)(171, 174, 183)(172, 173, 184)(175, 178, 185)(176, 177, 186)(187, 190, 192)(188, 189, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.937
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.935 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1, Y2^2 * Y1^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2^-2 * Y3^-1 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 13, 61, 14, 62)(5, 53, 18, 66, 19, 67)(6, 54, 15, 63, 20, 68)(8, 56, 23, 71, 24, 72)(9, 57, 25, 73, 26, 74)(11, 59, 27, 75, 30, 78)(16, 64, 22, 70, 37, 85)(17, 65, 21, 69, 38, 86)(28, 76, 32, 80, 43, 91)(29, 77, 31, 79, 44, 92)(33, 81, 36, 84, 45, 93)(34, 82, 35, 83, 46, 94)(39, 87, 42, 90, 47, 95)(40, 88, 41, 89, 48, 96)(97, 98, 104, 101)(99, 107, 102, 105)(100, 111, 119, 109)(103, 117, 120, 118)(106, 123, 114, 121)(108, 127, 115, 128)(110, 131, 116, 132)(112, 129, 113, 130)(122, 137, 126, 138)(124, 135, 125, 136)(133, 140, 134, 139)(141, 143, 142, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 167, 161)(151, 163, 168, 156)(154, 172, 162, 173)(157, 177, 159, 178)(158, 170, 164, 174)(165, 175, 166, 176)(169, 183, 171, 184)(179, 186, 180, 185)(181, 190, 182, 189)(187, 192, 188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.938
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.936 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^3, Y1 * Y2^-3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 9, 57, 10, 58)(6, 54, 15, 63, 16, 64)(11, 59, 21, 69, 22, 70)(12, 60, 23, 71, 24, 72)(13, 61, 25, 73, 26, 74)(14, 62, 27, 75, 28, 76)(17, 65, 29, 77, 30, 78)(18, 66, 31, 79, 32, 80)(19, 67, 33, 81, 34, 82)(20, 68, 35, 83, 36, 84)(37, 85, 45, 93, 40, 88)(38, 86, 46, 94, 39, 87)(41, 89, 47, 95, 44, 92)(42, 90, 48, 96, 43, 91)(97, 98, 102, 99)(100, 107, 111, 108)(101, 109, 112, 110)(103, 113, 105, 114)(104, 115, 106, 116)(117, 132, 119, 130)(118, 133, 120, 134)(121, 135, 123, 136)(122, 127, 124, 125)(126, 137, 128, 138)(129, 139, 131, 140)(141, 144, 142, 143)(145, 147, 150, 146)(148, 156, 159, 155)(149, 158, 160, 157)(151, 162, 153, 161)(152, 164, 154, 163)(165, 178, 167, 180)(166, 182, 168, 181)(169, 184, 171, 183)(170, 173, 172, 175)(174, 186, 176, 185)(177, 188, 179, 187)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.939
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.937 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 6, 54, 102, 150, 17, 65, 113, 161, 7, 55, 103, 151)(3, 51, 99, 147, 8, 56, 104, 152, 22, 70, 118, 166, 9, 57, 105, 153)(10, 58, 106, 154, 25, 73, 121, 169, 13, 61, 109, 157, 26, 74, 122, 170)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 28, 76, 124, 172)(15, 63, 111, 159, 29, 77, 125, 173, 18, 66, 114, 162, 30, 78, 126, 174)(16, 64, 112, 160, 31, 79, 127, 175, 19, 67, 115, 163, 32, 80, 128, 176)(20, 68, 116, 164, 33, 81, 129, 177, 23, 71, 119, 167, 34, 82, 130, 178)(21, 69, 117, 165, 35, 83, 131, 179, 24, 72, 120, 168, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187, 38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189, 40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 58)(5, 61)(6, 63)(7, 66)(8, 68)(9, 71)(10, 59)(11, 52)(12, 65)(13, 62)(14, 53)(15, 64)(16, 54)(17, 70)(18, 67)(19, 55)(20, 69)(21, 56)(22, 60)(23, 72)(24, 57)(25, 84)(26, 83)(27, 87)(28, 88)(29, 76)(30, 75)(31, 89)(32, 90)(33, 80)(34, 79)(35, 86)(36, 85)(37, 73)(38, 74)(39, 78)(40, 77)(41, 82)(42, 81)(43, 96)(44, 95)(45, 92)(46, 91)(47, 93)(48, 94)(97, 147)(98, 145)(99, 146)(100, 155)(101, 158)(102, 160)(103, 163)(104, 165)(105, 168)(106, 148)(107, 154)(108, 166)(109, 149)(110, 157)(111, 150)(112, 159)(113, 156)(114, 151)(115, 162)(116, 152)(117, 164)(118, 161)(119, 153)(120, 167)(121, 181)(122, 182)(123, 174)(124, 173)(125, 184)(126, 183)(127, 178)(128, 177)(129, 186)(130, 185)(131, 170)(132, 169)(133, 180)(134, 179)(135, 171)(136, 172)(137, 175)(138, 176)(139, 190)(140, 189)(141, 191)(142, 192)(143, 188)(144, 187)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.934
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.938 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1, Y2^2 * Y1^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2^-2 * Y3^-1 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 14, 62, 110, 158)(5, 53, 101, 149, 18, 66, 114, 162, 19, 67, 115, 163)(6, 54, 102, 150, 15, 63, 111, 159, 20, 68, 116, 164)(8, 56, 104, 152, 23, 71, 119, 167, 24, 72, 120, 168)(9, 57, 105, 153, 25, 73, 121, 169, 26, 74, 122, 170)(11, 59, 107, 155, 27, 75, 123, 171, 30, 78, 126, 174)(16, 64, 112, 160, 22, 70, 118, 166, 37, 85, 133, 181)(17, 65, 113, 161, 21, 69, 117, 165, 38, 86, 134, 182)(28, 76, 124, 172, 32, 80, 128, 176, 43, 91, 139, 187)(29, 77, 125, 173, 31, 79, 127, 175, 44, 92, 140, 188)(33, 81, 129, 177, 36, 84, 132, 180, 45, 93, 141, 189)(34, 82, 130, 178, 35, 83, 131, 179, 46, 94, 142, 190)(39, 87, 135, 183, 42, 90, 138, 186, 47, 95, 143, 191)(40, 88, 136, 184, 41, 89, 137, 185, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 59)(4, 63)(5, 49)(6, 57)(7, 69)(8, 53)(9, 51)(10, 75)(11, 54)(12, 79)(13, 52)(14, 83)(15, 71)(16, 81)(17, 82)(18, 73)(19, 80)(20, 84)(21, 72)(22, 55)(23, 61)(24, 70)(25, 58)(26, 89)(27, 66)(28, 87)(29, 88)(30, 90)(31, 67)(32, 60)(33, 65)(34, 64)(35, 68)(36, 62)(37, 92)(38, 91)(39, 77)(40, 76)(41, 78)(42, 74)(43, 85)(44, 86)(45, 95)(46, 96)(47, 94)(48, 93)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 163)(104, 150)(105, 149)(106, 172)(107, 146)(108, 151)(109, 177)(110, 170)(111, 178)(112, 167)(113, 148)(114, 173)(115, 168)(116, 174)(117, 175)(118, 176)(119, 161)(120, 156)(121, 183)(122, 164)(123, 184)(124, 162)(125, 154)(126, 158)(127, 166)(128, 165)(129, 159)(130, 157)(131, 186)(132, 185)(133, 190)(134, 189)(135, 171)(136, 169)(137, 179)(138, 180)(139, 192)(140, 191)(141, 181)(142, 182)(143, 187)(144, 188)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.935
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.939 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^3, Y1 * Y2^-3, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 16, 64, 112, 160)(11, 59, 107, 155, 21, 69, 117, 165, 22, 70, 118, 166)(12, 60, 108, 156, 23, 71, 119, 167, 24, 72, 120, 168)(13, 61, 109, 157, 25, 73, 121, 169, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171, 28, 76, 124, 172)(17, 65, 113, 161, 29, 77, 125, 173, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175, 32, 80, 128, 176)(19, 67, 115, 163, 33, 81, 129, 177, 34, 82, 130, 178)(20, 68, 116, 164, 35, 83, 131, 179, 36, 84, 132, 180)(37, 85, 133, 181, 45, 93, 141, 189, 40, 88, 136, 184)(38, 86, 134, 182, 46, 94, 142, 190, 39, 87, 135, 183)(41, 89, 137, 185, 47, 95, 143, 191, 44, 92, 140, 188)(42, 90, 138, 186, 48, 96, 144, 192, 43, 91, 139, 187)
	L = (1, 50)(2, 54)(3, 49)(4, 59)(5, 61)(6, 51)(7, 65)(8, 67)(9, 66)(10, 68)(11, 63)(12, 52)(13, 64)(14, 53)(15, 60)(16, 62)(17, 57)(18, 55)(19, 58)(20, 56)(21, 84)(22, 85)(23, 82)(24, 86)(25, 87)(26, 79)(27, 88)(28, 77)(29, 74)(30, 89)(31, 76)(32, 90)(33, 91)(34, 69)(35, 92)(36, 71)(37, 72)(38, 70)(39, 75)(40, 73)(41, 80)(42, 78)(43, 83)(44, 81)(45, 96)(46, 95)(47, 93)(48, 94)(97, 147)(98, 145)(99, 150)(100, 156)(101, 158)(102, 146)(103, 162)(104, 164)(105, 161)(106, 163)(107, 148)(108, 159)(109, 149)(110, 160)(111, 155)(112, 157)(113, 151)(114, 153)(115, 152)(116, 154)(117, 178)(118, 182)(119, 180)(120, 181)(121, 184)(122, 173)(123, 183)(124, 175)(125, 172)(126, 186)(127, 170)(128, 185)(129, 188)(130, 167)(131, 187)(132, 165)(133, 166)(134, 168)(135, 169)(136, 171)(137, 174)(138, 176)(139, 177)(140, 179)(141, 191)(142, 192)(143, 190)(144, 189)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.936
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-1 * Y3^2 * Y2^-1, Y2 * Y3^2 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1^-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, 18, 66)(6, 54, 23, 71, 24, 72)(7, 55, 25, 73, 26, 74)(8, 56, 27, 75, 30, 78)(9, 57, 32, 80, 33, 81)(10, 58, 34, 82, 35, 83)(11, 59, 36, 84, 37, 85)(13, 61, 28, 76, 38, 86)(14, 62, 39, 87, 29, 77)(16, 64, 44, 92, 31, 79)(19, 67, 41, 89, 45, 93)(20, 68, 46, 94, 42, 90)(21, 69, 43, 91, 47, 95)(22, 70, 48, 96, 40, 88)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 112, 160, 103, 151, 110, 158)(101, 149, 115, 163, 134, 182, 117, 165)(105, 153, 127, 175, 107, 155, 125, 173)(108, 156, 128, 176, 119, 167, 132, 180)(111, 159, 136, 184, 120, 168, 138, 186)(113, 161, 139, 187, 121, 169, 137, 185)(114, 162, 126, 174, 122, 170, 131, 179)(116, 164, 140, 188, 118, 166, 135, 183)(123, 171, 142, 190, 130, 178, 144, 192)(129, 177, 141, 189, 133, 181, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 125)(9, 124)(10, 127)(11, 98)(12, 131)(13, 103)(14, 102)(15, 137)(16, 99)(17, 136)(18, 128)(19, 135)(20, 134)(21, 140)(22, 101)(23, 126)(24, 139)(25, 138)(26, 132)(27, 143)(28, 107)(29, 106)(30, 108)(31, 104)(32, 122)(33, 142)(34, 141)(35, 119)(36, 114)(37, 144)(38, 118)(39, 117)(40, 121)(41, 120)(42, 113)(43, 111)(44, 115)(45, 123)(46, 133)(47, 130)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 . S4 = SL(2,3) . C2 (small group id <48, 28>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y3, Y2^4, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3, R * Y3^-1 * Y2 * R * Y2^-1, Y3 * Y2^2 * Y3^2, Y3^-1 * Y1 * Y3^2 * Y1, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y3 * 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, 14, 62)(9, 57, 35, 83, 36, 84)(10, 58, 38, 86, 26, 74)(11, 59, 30, 78, 40, 88)(13, 61, 32, 80, 43, 91)(16, 64, 45, 93, 34, 82)(18, 66, 22, 70, 47, 95)(20, 68, 44, 92, 37, 85)(21, 69, 48, 96, 33, 81)(23, 71, 42, 90, 39, 87)(24, 72, 41, 89, 46, 94)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 128, 176, 106, 154)(100, 148, 112, 160, 126, 174, 116, 164)(101, 149, 117, 165, 139, 187, 119, 167)(103, 151, 110, 158, 114, 162, 122, 170)(105, 153, 130, 178, 137, 185, 133, 181)(107, 155, 129, 177, 115, 163, 135, 183)(108, 156, 136, 184, 121, 169, 113, 161)(111, 159, 132, 180, 123, 171, 120, 168)(118, 166, 141, 189, 124, 172, 140, 188)(125, 173, 138, 186, 143, 191, 144, 192)(127, 175, 142, 190, 134, 182, 131, 179)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 122)(7, 97)(8, 129)(9, 115)(10, 135)(11, 98)(12, 138)(13, 126)(14, 116)(15, 140)(16, 99)(17, 142)(18, 109)(19, 128)(20, 102)(21, 111)(22, 132)(23, 123)(24, 101)(25, 144)(26, 112)(27, 141)(28, 120)(29, 113)(30, 103)(31, 121)(32, 137)(33, 133)(34, 104)(35, 125)(36, 139)(37, 106)(38, 108)(39, 130)(40, 131)(41, 107)(42, 127)(43, 124)(44, 119)(45, 117)(46, 143)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 34, 82)(21, 69, 35, 83, 36, 84)(23, 71, 37, 85, 30, 78)(24, 72, 38, 86, 29, 77)(31, 79, 41, 89, 40, 88)(32, 80, 42, 90, 39, 87)(43, 91, 48, 96, 46, 94)(44, 92, 47, 95, 45, 93)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 135, 183, 123, 171, 136, 184)(122, 170, 131, 179, 124, 172, 129, 177)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
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^-2 * Y2^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, Y3^-2 * Y2^-2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
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, 39, 87, 38, 86)(20, 68, 40, 88, 37, 85)(24, 72, 41, 89, 42, 90)(25, 73, 43, 91, 44, 92)(31, 79, 45, 93, 46, 94)(32, 80, 47, 95, 48, 96)(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, 140, 188, 124, 172, 138, 186)(123, 171, 139, 187, 125, 173, 137, 185)(133, 181, 141, 189, 134, 182, 143, 191)(135, 183, 144, 192, 136, 184, 142, 190)
	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, 122)(18, 126)(19, 128)(20, 101)(21, 134)(22, 124)(23, 107)(24, 106)(25, 104)(26, 118)(27, 135)(28, 113)(29, 136)(30, 116)(31, 115)(32, 108)(33, 140)(34, 141)(35, 138)(36, 143)(37, 117)(38, 112)(39, 125)(40, 123)(41, 144)(42, 129)(43, 142)(44, 131)(45, 132)(46, 137)(47, 130)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.944 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-2 * Y2^-1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 5, 53)(2, 50, 6, 54, 17, 65, 7, 55)(3, 51, 8, 56, 22, 70, 9, 57)(10, 58, 25, 73, 13, 61, 26, 74)(11, 59, 27, 75, 14, 62, 28, 76)(15, 63, 29, 77, 18, 66, 30, 78)(16, 64, 31, 79, 19, 67, 32, 80)(20, 68, 33, 81, 23, 71, 34, 82)(21, 69, 35, 83, 24, 72, 36, 84)(37, 85, 43, 91, 38, 86, 44, 92)(39, 87, 45, 93, 40, 88, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 98, 99)(100, 106, 107)(101, 109, 110)(102, 111, 112)(103, 114, 115)(104, 116, 117)(105, 119, 120)(108, 113, 118)(121, 131, 133)(122, 132, 134)(123, 135, 125)(124, 136, 126)(127, 137, 129)(128, 138, 130)(139, 143, 141)(140, 144, 142)(145, 147, 146)(148, 155, 154)(149, 158, 157)(150, 160, 159)(151, 163, 162)(152, 165, 164)(153, 168, 167)(156, 166, 161)(169, 181, 179)(170, 182, 180)(171, 173, 183)(172, 174, 184)(175, 177, 185)(176, 178, 186)(187, 189, 191)(188, 190, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.955
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.945 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^4, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 18, 66, 7, 55)(2, 50, 9, 57, 26, 74, 11, 59)(3, 51, 13, 61, 32, 80, 15, 63)(5, 53, 16, 64, 34, 82, 20, 68)(6, 54, 17, 65, 36, 84, 22, 70)(8, 56, 23, 71, 40, 88, 24, 72)(10, 58, 25, 73, 41, 89, 28, 76)(12, 60, 29, 77, 44, 92, 30, 78)(14, 62, 31, 79, 45, 93, 33, 81)(19, 67, 35, 83, 46, 94, 38, 86)(21, 69, 37, 85, 47, 95, 39, 87)(27, 75, 42, 90, 48, 96, 43, 91)(97, 98, 101)(99, 108, 110)(100, 112, 105)(102, 117, 104)(103, 116, 107)(106, 123, 115)(109, 127, 125)(111, 129, 126)(113, 119, 133)(114, 122, 130)(118, 120, 135)(121, 131, 138)(124, 134, 139)(128, 140, 141)(132, 143, 136)(137, 144, 142)(145, 147, 150)(146, 152, 154)(148, 161, 157)(149, 163, 156)(151, 166, 159)(153, 169, 167)(155, 172, 168)(158, 171, 165)(160, 173, 179)(162, 176, 180)(164, 174, 182)(170, 184, 185)(175, 181, 186)(177, 183, 187)(178, 190, 188)(189, 192, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.958
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.946 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y2, Y3^4, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 16, 64, 7, 55)(2, 50, 9, 57, 25, 73, 11, 59)(3, 51, 13, 61, 31, 79, 15, 63)(5, 53, 18, 66, 34, 82, 20, 68)(6, 54, 17, 65, 35, 83, 22, 70)(8, 56, 23, 71, 40, 88, 24, 72)(10, 58, 26, 74, 41, 89, 28, 76)(12, 60, 29, 77, 44, 92, 30, 78)(14, 62, 32, 80, 45, 93, 33, 81)(19, 67, 37, 85, 46, 94, 38, 86)(21, 69, 36, 84, 47, 95, 39, 87)(27, 75, 42, 90, 48, 96, 43, 91)(97, 98, 101)(99, 108, 110)(100, 109, 113)(102, 117, 104)(103, 111, 118)(105, 119, 122)(106, 123, 115)(107, 120, 124)(112, 121, 130)(114, 133, 125)(116, 134, 126)(127, 140, 141)(128, 138, 132)(129, 139, 135)(131, 143, 136)(137, 144, 142)(145, 147, 150)(146, 152, 154)(148, 153, 162)(149, 163, 156)(151, 155, 164)(157, 173, 176)(158, 171, 165)(159, 174, 177)(160, 175, 179)(161, 180, 167)(166, 183, 168)(169, 184, 185)(170, 186, 181)(172, 187, 182)(178, 190, 188)(189, 192, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.960
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.947 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^4, Y3^-1 * Y1 * Y3 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 17, 65, 7, 55)(2, 50, 9, 57, 30, 78, 11, 59)(3, 51, 13, 61, 37, 85, 15, 63)(5, 53, 19, 67, 44, 92, 21, 69)(6, 54, 23, 71, 45, 93, 24, 72)(8, 56, 27, 75, 46, 94, 28, 76)(10, 58, 16, 64, 40, 88, 33, 81)(12, 60, 29, 77, 47, 95, 35, 83)(14, 62, 18, 66, 43, 91, 38, 86)(20, 68, 36, 84, 41, 89, 25, 73)(22, 70, 31, 79, 42, 90, 26, 74)(32, 80, 39, 87, 48, 96, 34, 82)(97, 98, 101)(99, 108, 110)(100, 112, 114)(102, 118, 104)(103, 111, 120)(105, 125, 127)(106, 128, 116)(107, 124, 129)(109, 132, 123)(113, 137, 138)(115, 119, 135)(117, 121, 131)(122, 134, 130)(126, 133, 144)(136, 143, 141)(139, 140, 142)(145, 147, 150)(146, 152, 154)(148, 153, 163)(149, 164, 156)(151, 169, 170)(155, 159, 178)(157, 173, 162)(158, 176, 166)(160, 183, 180)(161, 184, 187)(165, 172, 182)(167, 175, 171)(168, 177, 179)(174, 191, 186)(181, 185, 190)(188, 189, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.956
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.948 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2^3, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 17, 65, 7, 55)(2, 50, 9, 57, 30, 78, 11, 59)(3, 51, 13, 61, 36, 84, 15, 63)(5, 53, 19, 67, 43, 91, 21, 69)(6, 54, 23, 71, 45, 93, 24, 72)(8, 56, 27, 75, 46, 94, 28, 76)(10, 58, 32, 80, 41, 89, 26, 74)(12, 60, 35, 83, 48, 96, 34, 82)(14, 62, 37, 85, 40, 88, 25, 73)(16, 64, 39, 87, 33, 81, 22, 70)(18, 66, 42, 90, 38, 86, 20, 68)(29, 77, 47, 95, 44, 92, 31, 79)(97, 98, 101)(99, 108, 110)(100, 112, 114)(102, 118, 104)(103, 111, 120)(105, 125, 109)(106, 127, 116)(107, 124, 122)(113, 136, 137)(115, 133, 123)(117, 134, 130)(119, 131, 128)(121, 140, 129)(126, 135, 144)(132, 142, 138)(139, 143, 141)(145, 147, 150)(146, 152, 154)(148, 153, 163)(149, 164, 156)(151, 169, 170)(155, 177, 178)(157, 179, 181)(158, 175, 166)(159, 172, 182)(160, 171, 167)(161, 183, 186)(162, 176, 173)(165, 188, 168)(174, 191, 180)(184, 190, 187)(185, 189, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.959
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.949 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 17, 65, 7, 55)(2, 50, 9, 57, 29, 77, 11, 59)(3, 51, 13, 61, 36, 84, 15, 63)(5, 53, 21, 69, 44, 92, 22, 70)(6, 54, 18, 66, 43, 91, 24, 72)(8, 56, 27, 75, 46, 94, 28, 76)(10, 58, 30, 78, 40, 88, 25, 73)(12, 60, 35, 83, 47, 95, 33, 81)(14, 62, 37, 85, 42, 90, 26, 74)(16, 64, 39, 87, 38, 86, 20, 68)(19, 67, 41, 89, 34, 82, 23, 71)(31, 79, 48, 96, 45, 93, 32, 80)(97, 98, 101)(99, 108, 110)(100, 109, 114)(102, 119, 104)(103, 121, 122)(105, 123, 126)(106, 128, 116)(107, 129, 130)(111, 134, 124)(112, 131, 117)(113, 135, 137)(115, 133, 127)(118, 120, 141)(125, 132, 144)(136, 143, 139)(138, 140, 142)(145, 147, 150)(146, 152, 154)(148, 160, 163)(149, 164, 156)(151, 155, 166)(153, 157, 175)(158, 176, 167)(159, 177, 170)(161, 184, 186)(162, 174, 179)(165, 171, 181)(168, 178, 172)(169, 189, 182)(173, 191, 185)(180, 183, 190)(187, 192, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.957
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.950 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, Y1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 17, 65, 7, 55)(2, 50, 9, 57, 30, 78, 11, 59)(3, 51, 13, 61, 36, 84, 15, 63)(5, 53, 21, 69, 45, 93, 22, 70)(6, 54, 18, 66, 44, 92, 24, 72)(8, 56, 27, 75, 46, 94, 28, 76)(10, 58, 19, 67, 42, 90, 33, 81)(12, 60, 31, 79, 48, 96, 35, 83)(14, 62, 16, 64, 40, 88, 38, 86)(20, 68, 37, 85, 43, 91, 26, 74)(23, 71, 29, 77, 41, 89, 25, 73)(32, 80, 39, 87, 47, 95, 34, 82)(97, 98, 101)(99, 108, 110)(100, 109, 114)(102, 119, 104)(103, 121, 122)(105, 123, 115)(106, 128, 116)(107, 130, 111)(112, 135, 125)(113, 136, 138)(117, 133, 127)(118, 134, 124)(120, 131, 129)(126, 137, 144)(132, 142, 139)(140, 141, 143)(145, 147, 150)(146, 152, 154)(148, 160, 163)(149, 164, 156)(151, 155, 166)(153, 173, 175)(157, 171, 181)(158, 176, 167)(159, 179, 182)(161, 185, 187)(162, 165, 183)(168, 169, 172)(170, 177, 178)(174, 191, 180)(184, 190, 189)(186, 188, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.961
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.951 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 13, 61, 14, 62)(5, 53, 18, 66, 19, 67)(6, 54, 15, 63, 20, 68)(8, 56, 23, 71, 24, 72)(9, 57, 25, 73, 26, 74)(11, 59, 27, 75, 30, 78)(16, 64, 22, 70, 37, 85)(17, 65, 21, 69, 38, 86)(28, 76, 32, 80, 43, 91)(29, 77, 31, 79, 44, 92)(33, 81, 36, 84, 45, 93)(34, 82, 35, 83, 46, 94)(39, 87, 42, 90, 47, 95)(40, 88, 41, 89, 48, 96)(97, 98, 104, 101)(99, 105, 102, 107)(100, 111, 119, 109)(103, 117, 120, 118)(106, 123, 114, 121)(108, 127, 115, 128)(110, 131, 116, 132)(112, 130, 113, 129)(122, 137, 126, 138)(124, 136, 125, 135)(133, 139, 134, 140)(141, 143, 142, 144)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 167, 161)(151, 163, 168, 156)(154, 172, 162, 173)(157, 177, 159, 178)(158, 174, 164, 170)(165, 176, 166, 175)(169, 183, 171, 184)(179, 186, 180, 185)(181, 189, 182, 190)(187, 191, 188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.962
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.952 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^3, Y2^-2 * Y1^2, (Y2 * Y1^-1)^2, Y2^4, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y3 * Y1^-2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 5, 53)(2, 50, 7, 55, 8, 56)(3, 51, 9, 57, 10, 58)(6, 54, 15, 63, 16, 64)(11, 59, 21, 69, 22, 70)(12, 60, 23, 71, 24, 72)(13, 61, 25, 73, 26, 74)(14, 62, 27, 75, 28, 76)(17, 65, 29, 77, 30, 78)(18, 66, 31, 79, 32, 80)(19, 67, 33, 81, 34, 82)(20, 68, 35, 83, 36, 84)(37, 85, 45, 93, 39, 87)(38, 86, 46, 94, 40, 88)(41, 89, 47, 95, 43, 91)(42, 90, 48, 96, 44, 92)(97, 98, 102, 99)(100, 107, 111, 108)(101, 109, 112, 110)(103, 113, 105, 114)(104, 115, 106, 116)(117, 130, 119, 132)(118, 133, 120, 134)(121, 135, 123, 136)(122, 125, 124, 127)(126, 137, 128, 138)(129, 139, 131, 140)(141, 143, 142, 144)(145, 147, 150, 146)(148, 156, 159, 155)(149, 158, 160, 157)(151, 162, 153, 161)(152, 164, 154, 163)(165, 180, 167, 178)(166, 182, 168, 181)(169, 184, 171, 183)(170, 175, 172, 173)(174, 186, 176, 185)(177, 188, 179, 187)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.963
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.953 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, (Y2, Y1^-1), Y2^4, R * Y1 * R * Y2, Y1^4, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^2 * Y1^-2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 13, 61, 14, 62)(5, 53, 19, 67, 16, 64)(6, 54, 20, 68, 15, 63)(8, 56, 23, 71, 24, 72)(9, 57, 25, 73, 26, 74)(11, 59, 30, 78, 27, 75)(17, 65, 35, 83, 22, 70)(18, 66, 36, 84, 21, 69)(28, 76, 43, 91, 32, 80)(29, 77, 44, 92, 31, 79)(33, 81, 37, 85, 45, 93)(34, 82, 38, 86, 46, 94)(39, 87, 47, 95, 42, 90)(40, 88, 48, 96, 41, 89)(97, 98, 104, 101)(99, 105, 102, 107)(100, 111, 129, 113)(103, 117, 125, 109)(106, 123, 118, 124)(108, 127, 136, 121)(110, 128, 135, 119)(112, 130, 114, 126)(115, 122, 138, 133)(116, 120, 137, 134)(131, 142, 143, 140)(132, 141, 144, 139)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 177, 162)(151, 166, 173, 154)(156, 176, 184, 167)(157, 171, 165, 172)(158, 175, 183, 169)(159, 178, 161, 174)(163, 168, 186, 182)(164, 170, 185, 181)(179, 189, 191, 187)(180, 190, 192, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.964
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.954 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, Y2^2 * Y1^-2, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2^-1, Y1), Y2^4, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 13, 61, 14, 62)(5, 53, 17, 65, 18, 66)(6, 54, 19, 67, 20, 68)(8, 56, 23, 71, 24, 72)(9, 57, 25, 73, 26, 74)(11, 59, 29, 77, 30, 78)(15, 63, 33, 81, 22, 70)(16, 64, 34, 82, 21, 69)(27, 75, 43, 91, 32, 80)(28, 76, 44, 92, 31, 79)(35, 83, 46, 94, 38, 86)(36, 84, 45, 93, 37, 85)(39, 87, 47, 95, 42, 90)(40, 88, 48, 96, 41, 89)(97, 98, 104, 101)(99, 105, 102, 107)(100, 111, 128, 110)(103, 115, 132, 117)(106, 123, 138, 122)(108, 125, 112, 127)(109, 124, 137, 120)(113, 131, 118, 126)(114, 121, 136, 133)(116, 119, 135, 134)(129, 141, 143, 140)(130, 142, 144, 139)(145, 147, 152, 150)(146, 153, 149, 155)(148, 160, 176, 156)(151, 161, 180, 166)(154, 172, 186, 168)(157, 171, 185, 170)(158, 173, 159, 175)(162, 167, 184, 182)(163, 179, 165, 174)(164, 169, 183, 181)(177, 190, 191, 187)(178, 189, 192, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.965
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.955 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^-2 * Y2^-1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 6, 54, 102, 150, 17, 65, 113, 161, 7, 55, 103, 151)(3, 51, 99, 147, 8, 56, 104, 152, 22, 70, 118, 166, 9, 57, 105, 153)(10, 58, 106, 154, 25, 73, 121, 169, 13, 61, 109, 157, 26, 74, 122, 170)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 28, 76, 124, 172)(15, 63, 111, 159, 29, 77, 125, 173, 18, 66, 114, 162, 30, 78, 126, 174)(16, 64, 112, 160, 31, 79, 127, 175, 19, 67, 115, 163, 32, 80, 128, 176)(20, 68, 116, 164, 33, 81, 129, 177, 23, 71, 119, 167, 34, 82, 130, 178)(21, 69, 117, 165, 35, 83, 131, 179, 24, 72, 120, 168, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187, 38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189, 40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 58)(5, 61)(6, 63)(7, 66)(8, 68)(9, 71)(10, 59)(11, 52)(12, 65)(13, 62)(14, 53)(15, 64)(16, 54)(17, 70)(18, 67)(19, 55)(20, 69)(21, 56)(22, 60)(23, 72)(24, 57)(25, 83)(26, 84)(27, 87)(28, 88)(29, 75)(30, 76)(31, 89)(32, 90)(33, 79)(34, 80)(35, 85)(36, 86)(37, 73)(38, 74)(39, 77)(40, 78)(41, 81)(42, 82)(43, 95)(44, 96)(45, 91)(46, 92)(47, 93)(48, 94)(97, 147)(98, 145)(99, 146)(100, 155)(101, 158)(102, 160)(103, 163)(104, 165)(105, 168)(106, 148)(107, 154)(108, 166)(109, 149)(110, 157)(111, 150)(112, 159)(113, 156)(114, 151)(115, 162)(116, 152)(117, 164)(118, 161)(119, 153)(120, 167)(121, 181)(122, 182)(123, 173)(124, 174)(125, 183)(126, 184)(127, 177)(128, 178)(129, 185)(130, 186)(131, 169)(132, 170)(133, 179)(134, 180)(135, 171)(136, 172)(137, 175)(138, 176)(139, 189)(140, 190)(141, 191)(142, 192)(143, 187)(144, 188)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.944
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.956 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^4, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 18, 66, 114, 162, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 26, 74, 122, 170, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 32, 80, 128, 176, 15, 63, 111, 159)(5, 53, 101, 149, 16, 64, 112, 160, 34, 82, 130, 178, 20, 68, 116, 164)(6, 54, 102, 150, 17, 65, 113, 161, 36, 84, 132, 180, 22, 70, 118, 166)(8, 56, 104, 152, 23, 71, 119, 167, 40, 88, 136, 184, 24, 72, 120, 168)(10, 58, 106, 154, 25, 73, 121, 169, 41, 89, 137, 185, 28, 76, 124, 172)(12, 60, 108, 156, 29, 77, 125, 173, 44, 92, 140, 188, 30, 78, 126, 174)(14, 62, 110, 158, 31, 79, 127, 175, 45, 93, 141, 189, 33, 81, 129, 177)(19, 67, 115, 163, 35, 83, 131, 179, 46, 94, 142, 190, 38, 86, 134, 182)(21, 69, 117, 165, 37, 85, 133, 181, 47, 95, 143, 191, 39, 87, 135, 183)(27, 75, 123, 171, 42, 90, 138, 186, 48, 96, 144, 192, 43, 91, 139, 187)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 69)(7, 68)(8, 54)(9, 52)(10, 75)(11, 55)(12, 62)(13, 79)(14, 51)(15, 81)(16, 57)(17, 71)(18, 74)(19, 58)(20, 59)(21, 56)(22, 72)(23, 85)(24, 87)(25, 83)(26, 82)(27, 67)(28, 86)(29, 61)(30, 63)(31, 77)(32, 92)(33, 78)(34, 66)(35, 90)(36, 95)(37, 65)(38, 91)(39, 70)(40, 84)(41, 96)(42, 73)(43, 76)(44, 93)(45, 80)(46, 89)(47, 88)(48, 94)(97, 147)(98, 152)(99, 150)(100, 161)(101, 163)(102, 145)(103, 166)(104, 154)(105, 169)(106, 146)(107, 172)(108, 149)(109, 148)(110, 171)(111, 151)(112, 173)(113, 157)(114, 176)(115, 156)(116, 174)(117, 158)(118, 159)(119, 153)(120, 155)(121, 167)(122, 184)(123, 165)(124, 168)(125, 179)(126, 182)(127, 181)(128, 180)(129, 183)(130, 190)(131, 160)(132, 162)(133, 186)(134, 164)(135, 187)(136, 185)(137, 170)(138, 175)(139, 177)(140, 178)(141, 192)(142, 188)(143, 189)(144, 191)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.947
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.957 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y2, Y3^4, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 16, 64, 112, 160, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 25, 73, 121, 169, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 31, 79, 127, 175, 15, 63, 111, 159)(5, 53, 101, 149, 18, 66, 114, 162, 34, 82, 130, 178, 20, 68, 116, 164)(6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 22, 70, 118, 166)(8, 56, 104, 152, 23, 71, 119, 167, 40, 88, 136, 184, 24, 72, 120, 168)(10, 58, 106, 154, 26, 74, 122, 170, 41, 89, 137, 185, 28, 76, 124, 172)(12, 60, 108, 156, 29, 77, 125, 173, 44, 92, 140, 188, 30, 78, 126, 174)(14, 62, 110, 158, 32, 80, 128, 176, 45, 93, 141, 189, 33, 81, 129, 177)(19, 67, 115, 163, 37, 85, 133, 181, 46, 94, 142, 190, 38, 86, 134, 182)(21, 69, 117, 165, 36, 84, 132, 180, 47, 95, 143, 191, 39, 87, 135, 183)(27, 75, 123, 171, 42, 90, 138, 186, 48, 96, 144, 192, 43, 91, 139, 187)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 69)(7, 63)(8, 54)(9, 71)(10, 75)(11, 72)(12, 62)(13, 65)(14, 51)(15, 70)(16, 73)(17, 52)(18, 85)(19, 58)(20, 86)(21, 56)(22, 55)(23, 74)(24, 76)(25, 82)(26, 57)(27, 67)(28, 59)(29, 66)(30, 68)(31, 92)(32, 90)(33, 91)(34, 64)(35, 95)(36, 80)(37, 77)(38, 78)(39, 81)(40, 83)(41, 96)(42, 84)(43, 87)(44, 93)(45, 79)(46, 89)(47, 88)(48, 94)(97, 147)(98, 152)(99, 150)(100, 153)(101, 163)(102, 145)(103, 155)(104, 154)(105, 162)(106, 146)(107, 164)(108, 149)(109, 173)(110, 171)(111, 174)(112, 175)(113, 180)(114, 148)(115, 156)(116, 151)(117, 158)(118, 183)(119, 161)(120, 166)(121, 184)(122, 186)(123, 165)(124, 187)(125, 176)(126, 177)(127, 179)(128, 157)(129, 159)(130, 190)(131, 160)(132, 167)(133, 170)(134, 172)(135, 168)(136, 185)(137, 169)(138, 181)(139, 182)(140, 178)(141, 192)(142, 188)(143, 189)(144, 191)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.949
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.958 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^4, Y3^-1 * Y1 * Y3 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 30, 78, 126, 174, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 37, 85, 133, 181, 15, 63, 111, 159)(5, 53, 101, 149, 19, 67, 115, 163, 44, 92, 140, 188, 21, 69, 117, 165)(6, 54, 102, 150, 23, 71, 119, 167, 45, 93, 141, 189, 24, 72, 120, 168)(8, 56, 104, 152, 27, 75, 123, 171, 46, 94, 142, 190, 28, 76, 124, 172)(10, 58, 106, 154, 16, 64, 112, 160, 40, 88, 136, 184, 33, 81, 129, 177)(12, 60, 108, 156, 29, 77, 125, 173, 47, 95, 143, 191, 35, 83, 131, 179)(14, 62, 110, 158, 18, 66, 114, 162, 43, 91, 139, 187, 38, 86, 134, 182)(20, 68, 116, 164, 36, 84, 132, 180, 41, 89, 137, 185, 25, 73, 121, 169)(22, 70, 118, 166, 31, 79, 127, 175, 42, 90, 138, 186, 26, 74, 122, 170)(32, 80, 128, 176, 39, 87, 135, 183, 48, 96, 144, 192, 34, 82, 130, 178)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 70)(7, 63)(8, 54)(9, 77)(10, 80)(11, 76)(12, 62)(13, 84)(14, 51)(15, 72)(16, 66)(17, 89)(18, 52)(19, 71)(20, 58)(21, 73)(22, 56)(23, 87)(24, 55)(25, 83)(26, 86)(27, 61)(28, 81)(29, 79)(30, 85)(31, 57)(32, 68)(33, 59)(34, 74)(35, 69)(36, 75)(37, 96)(38, 82)(39, 67)(40, 95)(41, 90)(42, 65)(43, 92)(44, 94)(45, 88)(46, 91)(47, 93)(48, 78)(97, 147)(98, 152)(99, 150)(100, 153)(101, 164)(102, 145)(103, 169)(104, 154)(105, 163)(106, 146)(107, 159)(108, 149)(109, 173)(110, 176)(111, 178)(112, 183)(113, 184)(114, 157)(115, 148)(116, 156)(117, 172)(118, 158)(119, 175)(120, 177)(121, 170)(122, 151)(123, 167)(124, 182)(125, 162)(126, 191)(127, 171)(128, 166)(129, 179)(130, 155)(131, 168)(132, 160)(133, 185)(134, 165)(135, 180)(136, 187)(137, 190)(138, 174)(139, 161)(140, 189)(141, 192)(142, 181)(143, 186)(144, 188)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.945
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.959 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2^3, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 30, 78, 126, 174, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 36, 84, 132, 180, 15, 63, 111, 159)(5, 53, 101, 149, 19, 67, 115, 163, 43, 91, 139, 187, 21, 69, 117, 165)(6, 54, 102, 150, 23, 71, 119, 167, 45, 93, 141, 189, 24, 72, 120, 168)(8, 56, 104, 152, 27, 75, 123, 171, 46, 94, 142, 190, 28, 76, 124, 172)(10, 58, 106, 154, 32, 80, 128, 176, 41, 89, 137, 185, 26, 74, 122, 170)(12, 60, 108, 156, 35, 83, 131, 179, 48, 96, 144, 192, 34, 82, 130, 178)(14, 62, 110, 158, 37, 85, 133, 181, 40, 88, 136, 184, 25, 73, 121, 169)(16, 64, 112, 160, 39, 87, 135, 183, 33, 81, 129, 177, 22, 70, 118, 166)(18, 66, 114, 162, 42, 90, 138, 186, 38, 86, 134, 182, 20, 68, 116, 164)(29, 77, 125, 173, 47, 95, 143, 191, 44, 92, 140, 188, 31, 79, 127, 175)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 70)(7, 63)(8, 54)(9, 77)(10, 79)(11, 76)(12, 62)(13, 57)(14, 51)(15, 72)(16, 66)(17, 88)(18, 52)(19, 85)(20, 58)(21, 86)(22, 56)(23, 83)(24, 55)(25, 92)(26, 59)(27, 67)(28, 74)(29, 61)(30, 87)(31, 68)(32, 71)(33, 73)(34, 69)(35, 80)(36, 94)(37, 75)(38, 82)(39, 96)(40, 89)(41, 65)(42, 84)(43, 95)(44, 81)(45, 91)(46, 90)(47, 93)(48, 78)(97, 147)(98, 152)(99, 150)(100, 153)(101, 164)(102, 145)(103, 169)(104, 154)(105, 163)(106, 146)(107, 177)(108, 149)(109, 179)(110, 175)(111, 172)(112, 171)(113, 183)(114, 176)(115, 148)(116, 156)(117, 188)(118, 158)(119, 160)(120, 165)(121, 170)(122, 151)(123, 167)(124, 182)(125, 162)(126, 191)(127, 166)(128, 173)(129, 178)(130, 155)(131, 181)(132, 174)(133, 157)(134, 159)(135, 186)(136, 190)(137, 189)(138, 161)(139, 184)(140, 168)(141, 192)(142, 187)(143, 180)(144, 185)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.948
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.960 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 29, 77, 125, 173, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 36, 84, 132, 180, 15, 63, 111, 159)(5, 53, 101, 149, 21, 69, 117, 165, 44, 92, 140, 188, 22, 70, 118, 166)(6, 54, 102, 150, 18, 66, 114, 162, 43, 91, 139, 187, 24, 72, 120, 168)(8, 56, 104, 152, 27, 75, 123, 171, 46, 94, 142, 190, 28, 76, 124, 172)(10, 58, 106, 154, 30, 78, 126, 174, 40, 88, 136, 184, 25, 73, 121, 169)(12, 60, 108, 156, 35, 83, 131, 179, 47, 95, 143, 191, 33, 81, 129, 177)(14, 62, 110, 158, 37, 85, 133, 181, 42, 90, 138, 186, 26, 74, 122, 170)(16, 64, 112, 160, 39, 87, 135, 183, 38, 86, 134, 182, 20, 68, 116, 164)(19, 67, 115, 163, 41, 89, 137, 185, 34, 82, 130, 178, 23, 71, 119, 167)(31, 79, 127, 175, 48, 96, 144, 192, 45, 93, 141, 189, 32, 80, 128, 176)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 71)(7, 73)(8, 54)(9, 75)(10, 80)(11, 81)(12, 62)(13, 66)(14, 51)(15, 86)(16, 83)(17, 87)(18, 52)(19, 85)(20, 58)(21, 64)(22, 72)(23, 56)(24, 93)(25, 74)(26, 55)(27, 78)(28, 63)(29, 84)(30, 57)(31, 67)(32, 68)(33, 82)(34, 59)(35, 69)(36, 96)(37, 79)(38, 76)(39, 89)(40, 95)(41, 65)(42, 92)(43, 88)(44, 94)(45, 70)(46, 90)(47, 91)(48, 77)(97, 147)(98, 152)(99, 150)(100, 160)(101, 164)(102, 145)(103, 155)(104, 154)(105, 157)(106, 146)(107, 166)(108, 149)(109, 175)(110, 176)(111, 177)(112, 163)(113, 184)(114, 174)(115, 148)(116, 156)(117, 171)(118, 151)(119, 158)(120, 178)(121, 189)(122, 159)(123, 181)(124, 168)(125, 191)(126, 179)(127, 153)(128, 167)(129, 170)(130, 172)(131, 162)(132, 183)(133, 165)(134, 169)(135, 190)(136, 186)(137, 173)(138, 161)(139, 192)(140, 187)(141, 182)(142, 180)(143, 185)(144, 188)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.946
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.961 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, (Y1^-1 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, Y1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 30, 78, 126, 174, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 36, 84, 132, 180, 15, 63, 111, 159)(5, 53, 101, 149, 21, 69, 117, 165, 45, 93, 141, 189, 22, 70, 118, 166)(6, 54, 102, 150, 18, 66, 114, 162, 44, 92, 140, 188, 24, 72, 120, 168)(8, 56, 104, 152, 27, 75, 123, 171, 46, 94, 142, 190, 28, 76, 124, 172)(10, 58, 106, 154, 19, 67, 115, 163, 42, 90, 138, 186, 33, 81, 129, 177)(12, 60, 108, 156, 31, 79, 127, 175, 48, 96, 144, 192, 35, 83, 131, 179)(14, 62, 110, 158, 16, 64, 112, 160, 40, 88, 136, 184, 38, 86, 134, 182)(20, 68, 116, 164, 37, 85, 133, 181, 43, 91, 139, 187, 26, 74, 122, 170)(23, 71, 119, 167, 29, 77, 125, 173, 41, 89, 137, 185, 25, 73, 121, 169)(32, 80, 128, 176, 39, 87, 135, 183, 47, 95, 143, 191, 34, 82, 130, 178)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 71)(7, 73)(8, 54)(9, 75)(10, 80)(11, 82)(12, 62)(13, 66)(14, 51)(15, 59)(16, 87)(17, 88)(18, 52)(19, 57)(20, 58)(21, 85)(22, 86)(23, 56)(24, 83)(25, 74)(26, 55)(27, 67)(28, 70)(29, 64)(30, 89)(31, 69)(32, 68)(33, 72)(34, 63)(35, 81)(36, 94)(37, 79)(38, 76)(39, 77)(40, 90)(41, 96)(42, 65)(43, 84)(44, 93)(45, 95)(46, 91)(47, 92)(48, 78)(97, 147)(98, 152)(99, 150)(100, 160)(101, 164)(102, 145)(103, 155)(104, 154)(105, 173)(106, 146)(107, 166)(108, 149)(109, 171)(110, 176)(111, 179)(112, 163)(113, 185)(114, 165)(115, 148)(116, 156)(117, 183)(118, 151)(119, 158)(120, 169)(121, 172)(122, 177)(123, 181)(124, 168)(125, 175)(126, 191)(127, 153)(128, 167)(129, 178)(130, 170)(131, 182)(132, 174)(133, 157)(134, 159)(135, 162)(136, 190)(137, 187)(138, 188)(139, 161)(140, 192)(141, 184)(142, 189)(143, 180)(144, 186)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.950
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.962 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-2 * Y1^2, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 14, 62, 110, 158)(5, 53, 101, 149, 18, 66, 114, 162, 19, 67, 115, 163)(6, 54, 102, 150, 15, 63, 111, 159, 20, 68, 116, 164)(8, 56, 104, 152, 23, 71, 119, 167, 24, 72, 120, 168)(9, 57, 105, 153, 25, 73, 121, 169, 26, 74, 122, 170)(11, 59, 107, 155, 27, 75, 123, 171, 30, 78, 126, 174)(16, 64, 112, 160, 22, 70, 118, 166, 37, 85, 133, 181)(17, 65, 113, 161, 21, 69, 117, 165, 38, 86, 134, 182)(28, 76, 124, 172, 32, 80, 128, 176, 43, 91, 139, 187)(29, 77, 125, 173, 31, 79, 127, 175, 44, 92, 140, 188)(33, 81, 129, 177, 36, 84, 132, 180, 45, 93, 141, 189)(34, 82, 130, 178, 35, 83, 131, 179, 46, 94, 142, 190)(39, 87, 135, 183, 42, 90, 138, 186, 47, 95, 143, 191)(40, 88, 136, 184, 41, 89, 137, 185, 48, 96, 144, 192)
	L = (1, 50)(2, 56)(3, 57)(4, 63)(5, 49)(6, 59)(7, 69)(8, 53)(9, 54)(10, 75)(11, 51)(12, 79)(13, 52)(14, 83)(15, 71)(16, 82)(17, 81)(18, 73)(19, 80)(20, 84)(21, 72)(22, 55)(23, 61)(24, 70)(25, 58)(26, 89)(27, 66)(28, 88)(29, 87)(30, 90)(31, 67)(32, 60)(33, 64)(34, 65)(35, 68)(36, 62)(37, 91)(38, 92)(39, 76)(40, 77)(41, 78)(42, 74)(43, 86)(44, 85)(45, 95)(46, 96)(47, 94)(48, 93)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 163)(104, 150)(105, 149)(106, 172)(107, 146)(108, 151)(109, 177)(110, 174)(111, 178)(112, 167)(113, 148)(114, 173)(115, 168)(116, 170)(117, 176)(118, 175)(119, 161)(120, 156)(121, 183)(122, 158)(123, 184)(124, 162)(125, 154)(126, 164)(127, 165)(128, 166)(129, 159)(130, 157)(131, 186)(132, 185)(133, 189)(134, 190)(135, 171)(136, 169)(137, 179)(138, 180)(139, 191)(140, 192)(141, 182)(142, 181)(143, 188)(144, 187)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.951
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.963 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^3, Y2^-2 * Y1^2, (Y2 * Y1^-1)^2, Y2^4, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y3 * Y1^-2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 16, 64, 112, 160)(11, 59, 107, 155, 21, 69, 117, 165, 22, 70, 118, 166)(12, 60, 108, 156, 23, 71, 119, 167, 24, 72, 120, 168)(13, 61, 109, 157, 25, 73, 121, 169, 26, 74, 122, 170)(14, 62, 110, 158, 27, 75, 123, 171, 28, 76, 124, 172)(17, 65, 113, 161, 29, 77, 125, 173, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175, 32, 80, 128, 176)(19, 67, 115, 163, 33, 81, 129, 177, 34, 82, 130, 178)(20, 68, 116, 164, 35, 83, 131, 179, 36, 84, 132, 180)(37, 85, 133, 181, 45, 93, 141, 189, 39, 87, 135, 183)(38, 86, 134, 182, 46, 94, 142, 190, 40, 88, 136, 184)(41, 89, 137, 185, 47, 95, 143, 191, 43, 91, 139, 187)(42, 90, 138, 186, 48, 96, 144, 192, 44, 92, 140, 188)
	L = (1, 50)(2, 54)(3, 49)(4, 59)(5, 61)(6, 51)(7, 65)(8, 67)(9, 66)(10, 68)(11, 63)(12, 52)(13, 64)(14, 53)(15, 60)(16, 62)(17, 57)(18, 55)(19, 58)(20, 56)(21, 82)(22, 85)(23, 84)(24, 86)(25, 87)(26, 77)(27, 88)(28, 79)(29, 76)(30, 89)(31, 74)(32, 90)(33, 91)(34, 71)(35, 92)(36, 69)(37, 72)(38, 70)(39, 75)(40, 73)(41, 80)(42, 78)(43, 83)(44, 81)(45, 95)(46, 96)(47, 94)(48, 93)(97, 147)(98, 145)(99, 150)(100, 156)(101, 158)(102, 146)(103, 162)(104, 164)(105, 161)(106, 163)(107, 148)(108, 159)(109, 149)(110, 160)(111, 155)(112, 157)(113, 151)(114, 153)(115, 152)(116, 154)(117, 180)(118, 182)(119, 178)(120, 181)(121, 184)(122, 175)(123, 183)(124, 173)(125, 170)(126, 186)(127, 172)(128, 185)(129, 188)(130, 165)(131, 187)(132, 167)(133, 166)(134, 168)(135, 169)(136, 171)(137, 174)(138, 176)(139, 177)(140, 179)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.952
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.964 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, (Y2, Y1^-1), Y2^4, R * Y1 * R * Y2, Y1^4, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y2^2 * Y1^-2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 14, 62, 110, 158)(5, 53, 101, 149, 19, 67, 115, 163, 16, 64, 112, 160)(6, 54, 102, 150, 20, 68, 116, 164, 15, 63, 111, 159)(8, 56, 104, 152, 23, 71, 119, 167, 24, 72, 120, 168)(9, 57, 105, 153, 25, 73, 121, 169, 26, 74, 122, 170)(11, 59, 107, 155, 30, 78, 126, 174, 27, 75, 123, 171)(17, 65, 113, 161, 35, 83, 131, 179, 22, 70, 118, 166)(18, 66, 114, 162, 36, 84, 132, 180, 21, 69, 117, 165)(28, 76, 124, 172, 43, 91, 139, 187, 32, 80, 128, 176)(29, 77, 125, 173, 44, 92, 140, 188, 31, 79, 127, 175)(33, 81, 129, 177, 37, 85, 133, 181, 45, 93, 141, 189)(34, 82, 130, 178, 38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191, 42, 90, 138, 186)(40, 88, 136, 184, 48, 96, 144, 192, 41, 89, 137, 185)
	L = (1, 50)(2, 56)(3, 57)(4, 63)(5, 49)(6, 59)(7, 69)(8, 53)(9, 54)(10, 75)(11, 51)(12, 79)(13, 55)(14, 80)(15, 81)(16, 82)(17, 52)(18, 78)(19, 74)(20, 72)(21, 77)(22, 76)(23, 62)(24, 89)(25, 60)(26, 90)(27, 70)(28, 58)(29, 61)(30, 64)(31, 88)(32, 87)(33, 65)(34, 66)(35, 94)(36, 93)(37, 67)(38, 68)(39, 71)(40, 73)(41, 86)(42, 85)(43, 84)(44, 83)(45, 96)(46, 95)(47, 92)(48, 91)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 166)(104, 150)(105, 149)(106, 151)(107, 146)(108, 176)(109, 171)(110, 175)(111, 178)(112, 177)(113, 174)(114, 148)(115, 168)(116, 170)(117, 172)(118, 173)(119, 156)(120, 186)(121, 158)(122, 185)(123, 165)(124, 157)(125, 154)(126, 159)(127, 183)(128, 184)(129, 162)(130, 161)(131, 189)(132, 190)(133, 164)(134, 163)(135, 169)(136, 167)(137, 181)(138, 182)(139, 179)(140, 180)(141, 191)(142, 192)(143, 187)(144, 188)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.953
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.965 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = C4 x S4 (small group id <96, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, Y2^2 * Y1^-2, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2^-1, Y1), Y2^4, Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 13, 61, 109, 157, 14, 62, 110, 158)(5, 53, 101, 149, 17, 65, 113, 161, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163, 20, 68, 116, 164)(8, 56, 104, 152, 23, 71, 119, 167, 24, 72, 120, 168)(9, 57, 105, 153, 25, 73, 121, 169, 26, 74, 122, 170)(11, 59, 107, 155, 29, 77, 125, 173, 30, 78, 126, 174)(15, 63, 111, 159, 33, 81, 129, 177, 22, 70, 118, 166)(16, 64, 112, 160, 34, 82, 130, 178, 21, 69, 117, 165)(27, 75, 123, 171, 43, 91, 139, 187, 32, 80, 128, 176)(28, 76, 124, 172, 44, 92, 140, 188, 31, 79, 127, 175)(35, 83, 131, 179, 46, 94, 142, 190, 38, 86, 134, 182)(36, 84, 132, 180, 45, 93, 141, 189, 37, 85, 133, 181)(39, 87, 135, 183, 47, 95, 143, 191, 42, 90, 138, 186)(40, 88, 136, 184, 48, 96, 144, 192, 41, 89, 137, 185)
	L = (1, 50)(2, 56)(3, 57)(4, 63)(5, 49)(6, 59)(7, 67)(8, 53)(9, 54)(10, 75)(11, 51)(12, 77)(13, 76)(14, 52)(15, 80)(16, 79)(17, 83)(18, 73)(19, 84)(20, 71)(21, 55)(22, 78)(23, 87)(24, 61)(25, 88)(26, 58)(27, 90)(28, 89)(29, 64)(30, 65)(31, 60)(32, 62)(33, 93)(34, 94)(35, 70)(36, 69)(37, 66)(38, 68)(39, 86)(40, 85)(41, 72)(42, 74)(43, 82)(44, 81)(45, 95)(46, 96)(47, 92)(48, 91)(97, 147)(98, 153)(99, 152)(100, 160)(101, 155)(102, 145)(103, 161)(104, 150)(105, 149)(106, 172)(107, 146)(108, 148)(109, 171)(110, 173)(111, 175)(112, 176)(113, 180)(114, 167)(115, 179)(116, 169)(117, 174)(118, 151)(119, 184)(120, 154)(121, 183)(122, 157)(123, 185)(124, 186)(125, 159)(126, 163)(127, 158)(128, 156)(129, 190)(130, 189)(131, 165)(132, 166)(133, 164)(134, 162)(135, 181)(136, 182)(137, 170)(138, 168)(139, 177)(140, 178)(141, 192)(142, 191)(143, 187)(144, 188)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.954
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|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, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 34, 82)(21, 69, 35, 83, 36, 84)(23, 71, 37, 85, 29, 77)(24, 72, 38, 86, 30, 78)(31, 79, 41, 89, 39, 87)(32, 80, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 135, 183, 123, 171, 136, 184)(122, 170, 129, 177, 124, 172, 131, 179)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 7, 55)(4, 52, 13, 61, 14, 62)(6, 54, 17, 65, 9, 57)(8, 56, 20, 68, 21, 69)(11, 59, 18, 66, 23, 71)(12, 60, 26, 74, 27, 75)(15, 63, 30, 78, 29, 77)(16, 64, 31, 79, 28, 76)(19, 67, 34, 82, 35, 83)(22, 70, 37, 85, 36, 84)(24, 72, 39, 87, 40, 88)(25, 73, 41, 89, 42, 90)(32, 80, 43, 91, 44, 92)(33, 81, 45, 93, 46, 94)(38, 86, 47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 111, 159)(101, 149, 106, 154, 119, 167, 113, 161)(104, 152, 115, 163, 129, 177, 118, 166)(109, 157, 123, 171, 137, 185, 125, 173)(110, 158, 122, 170, 138, 186, 126, 174)(112, 160, 120, 168, 134, 182, 128, 176)(116, 164, 131, 179, 141, 189, 132, 180)(117, 165, 130, 178, 142, 190, 133, 181)(124, 172, 135, 183, 144, 192, 139, 187)(127, 175, 136, 184, 143, 191, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 112)(6, 111)(7, 115)(8, 98)(9, 118)(10, 120)(11, 121)(12, 99)(13, 124)(14, 116)(15, 102)(16, 101)(17, 128)(18, 129)(19, 103)(20, 110)(21, 127)(22, 105)(23, 134)(24, 106)(25, 107)(26, 131)(27, 135)(28, 109)(29, 139)(30, 132)(31, 117)(32, 113)(33, 114)(34, 136)(35, 122)(36, 126)(37, 140)(38, 119)(39, 123)(40, 130)(41, 144)(42, 141)(43, 125)(44, 133)(45, 138)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^-1 * Y3 * Y2 * Y3, Y2^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 13, 61)(4, 52, 14, 62, 15, 63)(6, 54, 20, 68, 21, 69)(7, 55, 22, 70, 25, 73)(8, 56, 26, 74, 27, 75)(9, 57, 29, 77, 30, 78)(11, 59, 23, 71, 33, 81)(12, 60, 34, 82, 24, 72)(16, 64, 39, 87, 28, 76)(17, 65, 36, 84, 40, 88)(18, 66, 41, 89, 37, 85)(19, 67, 38, 86, 42, 90)(31, 79, 46, 94, 44, 92)(32, 80, 47, 95, 45, 93)(35, 83, 48, 96, 43, 91)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 119, 167, 105, 153)(100, 148, 108, 156, 128, 176, 112, 160)(101, 149, 113, 161, 129, 177, 115, 163)(104, 152, 120, 168, 140, 188, 124, 172)(106, 154, 127, 175, 116, 164, 122, 170)(109, 157, 131, 179, 117, 165, 133, 181)(110, 158, 132, 180, 143, 191, 134, 182)(111, 159, 121, 169, 141, 189, 126, 174)(114, 162, 130, 178, 144, 192, 135, 183)(118, 166, 139, 187, 125, 173, 137, 185)(123, 171, 136, 184, 142, 190, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 114)(6, 112)(7, 120)(8, 98)(9, 124)(10, 121)(11, 128)(12, 99)(13, 132)(14, 133)(15, 122)(16, 102)(17, 130)(18, 101)(19, 135)(20, 126)(21, 134)(22, 136)(23, 140)(24, 103)(25, 106)(26, 111)(27, 137)(28, 105)(29, 138)(30, 116)(31, 141)(32, 107)(33, 144)(34, 113)(35, 143)(36, 109)(37, 110)(38, 117)(39, 115)(40, 118)(41, 123)(42, 125)(43, 142)(44, 119)(45, 127)(46, 139)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y1 * Y3^-1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2, Y2^4, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y3 * R * Y2^-1 * R * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 11, 59)(6, 54, 23, 71, 25, 73)(7, 55, 20, 68, 26, 74)(8, 56, 27, 75, 14, 62)(9, 57, 31, 79, 22, 70)(10, 58, 33, 81, 24, 72)(13, 61, 28, 76, 38, 86)(16, 64, 41, 89, 30, 78)(18, 66, 42, 90, 32, 80)(19, 67, 36, 84, 29, 77)(21, 69, 43, 91, 34, 82)(35, 83, 46, 94, 37, 85)(39, 87, 48, 96, 47, 95)(40, 88, 45, 93, 44, 92)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 112, 160, 133, 181, 114, 162)(101, 149, 115, 163, 134, 182, 117, 165)(103, 151, 110, 158, 135, 183, 120, 168)(105, 153, 126, 174, 141, 189, 128, 176)(107, 155, 125, 173, 142, 190, 130, 178)(108, 156, 131, 179, 119, 167, 113, 161)(111, 159, 136, 184, 121, 169, 118, 166)(116, 164, 137, 185, 144, 192, 138, 186)(122, 170, 132, 180, 143, 191, 139, 187)(123, 171, 140, 188, 129, 177, 127, 175)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 116)(6, 120)(7, 97)(8, 125)(9, 107)(10, 130)(11, 98)(12, 132)(13, 133)(14, 112)(15, 137)(16, 99)(17, 127)(18, 102)(19, 111)(20, 118)(21, 121)(22, 101)(23, 139)(24, 114)(25, 138)(26, 113)(27, 108)(28, 141)(29, 126)(30, 104)(31, 122)(32, 106)(33, 119)(34, 128)(35, 140)(36, 123)(37, 135)(38, 144)(39, 109)(40, 134)(41, 115)(42, 117)(43, 129)(44, 143)(45, 142)(46, 124)(47, 131)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y2^4, (R * Y3)^2, (Y1 * Y3^-1)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, R * Y2 * R * Y1^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 11, 59)(6, 54, 20, 68, 10, 58)(7, 55, 19, 67, 25, 73)(9, 57, 30, 78, 21, 69)(13, 61, 27, 75, 35, 83)(14, 62, 39, 87, 36, 84)(15, 63, 28, 76, 24, 72)(17, 65, 33, 81, 29, 77)(18, 66, 34, 82, 32, 80)(22, 70, 43, 91, 42, 90)(23, 71, 31, 79, 26, 74)(37, 85, 46, 94, 44, 92)(38, 86, 45, 93, 41, 89)(40, 88, 48, 96, 47, 95)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 113, 161, 133, 181, 114, 162)(101, 149, 108, 156, 131, 179, 116, 164)(103, 151, 120, 168, 134, 182, 122, 170)(105, 153, 110, 158, 136, 184, 118, 166)(107, 155, 129, 177, 140, 188, 130, 178)(111, 159, 137, 185, 119, 167, 121, 169)(112, 160, 125, 173, 142, 190, 128, 176)(115, 163, 124, 172, 141, 189, 127, 175)(117, 165, 135, 183, 143, 191, 139, 187)(126, 174, 132, 180, 144, 192, 138, 186)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 115)(6, 118)(7, 97)(8, 124)(9, 107)(10, 127)(11, 98)(12, 113)(13, 133)(14, 111)(15, 99)(16, 126)(17, 132)(18, 138)(19, 117)(20, 114)(21, 101)(22, 119)(23, 102)(24, 135)(25, 112)(26, 139)(27, 136)(28, 125)(29, 104)(30, 121)(31, 128)(32, 106)(33, 120)(34, 122)(35, 141)(36, 108)(37, 134)(38, 109)(39, 129)(40, 140)(41, 142)(42, 116)(43, 130)(44, 123)(45, 143)(46, 144)(47, 131)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.979
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 34, 82)(21, 69, 35, 83, 36, 84)(23, 71, 37, 85, 29, 77)(24, 72, 38, 86, 30, 78)(31, 79, 41, 89, 39, 87)(32, 80, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 135, 183, 123, 171, 136, 184)(122, 170, 129, 177, 124, 172, 131, 179)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 112)(10, 99)(11, 121)(12, 123)(13, 110)(14, 101)(15, 113)(16, 118)(17, 102)(18, 115)(19, 103)(20, 129)(21, 131)(22, 105)(23, 133)(24, 134)(25, 122)(26, 107)(27, 124)(28, 108)(29, 119)(30, 120)(31, 137)(32, 138)(33, 130)(34, 116)(35, 132)(36, 117)(37, 125)(38, 126)(39, 127)(40, 128)(41, 135)(42, 136)(43, 143)(44, 144)(45, 139)(46, 140)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.978
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, (Y1^-1 * Y2 * Y1^-1 * Y2^-1)^2, (Y3 * Y2^-1)^4, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 26, 74, 28, 76)(12, 60, 29, 77, 30, 78)(16, 64, 32, 80, 37, 85)(20, 68, 35, 83, 34, 82)(21, 69, 41, 89, 42, 90)(24, 72, 27, 75, 40, 88)(25, 73, 31, 79, 36, 84)(33, 81, 38, 86, 39, 87)(43, 91, 48, 96, 46, 94)(44, 92, 45, 93, 47, 95)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 123, 171, 108, 156)(104, 152, 116, 164, 115, 163, 117, 165)(106, 154, 120, 168, 141, 189, 121, 169)(109, 157, 127, 175, 142, 190, 128, 176)(110, 158, 129, 177, 122, 170, 130, 178)(111, 159, 131, 179, 126, 174, 132, 180)(113, 161, 119, 167, 140, 188, 134, 182)(114, 162, 135, 183, 144, 192, 136, 184)(118, 166, 125, 173, 138, 186, 139, 187)(124, 172, 133, 181, 143, 191, 137, 185)
	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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|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, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, (Y2 * Y1^-1)^4, (Y3 * Y2^-1)^4, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 26, 74, 28, 76)(12, 60, 29, 77, 30, 78)(16, 64, 20, 68, 37, 85)(21, 69, 38, 86, 33, 81)(24, 72, 32, 80, 39, 87)(25, 73, 40, 88, 36, 84)(27, 75, 35, 83, 34, 82)(31, 79, 45, 93, 44, 92)(41, 89, 42, 90, 47, 95)(43, 91, 46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 123, 171, 108, 156)(104, 152, 116, 164, 137, 185, 117, 165)(106, 154, 120, 168, 125, 173, 121, 169)(109, 157, 127, 175, 113, 161, 128, 176)(110, 158, 129, 177, 142, 190, 130, 178)(111, 159, 131, 179, 143, 191, 132, 180)(114, 162, 134, 182, 124, 172, 135, 183)(115, 163, 136, 184, 139, 187, 119, 167)(118, 166, 138, 186, 140, 188, 122, 170)(126, 174, 141, 189, 144, 192, 133, 181)
	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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y1^-2 * Y3, (Y3 * Y1^-1)^3, Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 13, 61)(4, 52, 14, 62, 15, 63)(6, 54, 20, 68, 21, 69)(7, 55, 12, 60, 24, 72)(8, 56, 25, 73, 26, 74)(9, 57, 27, 75, 28, 76)(11, 59, 30, 78, 32, 80)(16, 64, 19, 67, 38, 86)(17, 65, 23, 71, 40, 88)(18, 66, 41, 89, 35, 83)(22, 70, 43, 91, 45, 93)(29, 77, 31, 79, 44, 92)(33, 81, 39, 87, 48, 96)(34, 82, 46, 94, 37, 85)(36, 84, 47, 95, 42, 90)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 108, 156, 127, 175, 112, 160)(101, 149, 113, 161, 135, 183, 115, 163)(104, 152, 119, 167, 140, 188, 117, 165)(106, 154, 125, 173, 124, 172, 114, 162)(109, 157, 129, 177, 132, 180, 110, 158)(111, 159, 133, 181, 139, 187, 116, 164)(120, 168, 128, 176, 138, 186, 121, 169)(122, 170, 142, 190, 144, 192, 123, 171)(126, 174, 134, 182, 131, 179, 130, 178)(136, 184, 141, 189, 143, 191, 137, 185)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 114)(6, 112)(7, 119)(8, 98)(9, 117)(10, 113)(11, 127)(12, 99)(13, 130)(14, 131)(15, 121)(16, 102)(17, 106)(18, 101)(19, 124)(20, 138)(21, 105)(22, 140)(23, 103)(24, 133)(25, 111)(26, 137)(27, 143)(28, 115)(29, 135)(30, 129)(31, 107)(32, 139)(33, 126)(34, 109)(35, 110)(36, 134)(37, 120)(38, 132)(39, 125)(40, 142)(41, 122)(42, 116)(43, 128)(44, 118)(45, 144)(46, 136)(47, 123)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, Y2 * Y3 * Y1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1^-2 * Y3 * Y2, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 13, 61)(4, 52, 14, 62, 15, 63)(6, 54, 20, 68, 21, 69)(7, 55, 22, 70, 24, 72)(8, 56, 25, 73, 26, 74)(9, 57, 16, 64, 28, 76)(11, 59, 31, 79, 33, 81)(12, 60, 17, 65, 34, 82)(18, 66, 40, 88, 37, 85)(19, 67, 27, 75, 41, 89)(23, 71, 29, 77, 47, 95)(30, 78, 36, 84, 46, 94)(32, 80, 35, 83, 42, 90)(38, 86, 43, 91, 48, 96)(39, 87, 45, 93, 44, 92)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 119, 167, 105, 153)(100, 148, 108, 156, 128, 176, 112, 160)(101, 149, 113, 161, 135, 183, 115, 163)(104, 152, 109, 157, 131, 179, 123, 171)(106, 154, 125, 173, 134, 182, 111, 159)(110, 158, 132, 180, 140, 188, 117, 165)(114, 162, 120, 168, 138, 186, 116, 164)(118, 166, 141, 189, 144, 192, 122, 170)(121, 169, 126, 174, 129, 177, 124, 172)(127, 175, 139, 187, 133, 181, 130, 178)(136, 184, 142, 190, 143, 191, 137, 185)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 114)(6, 112)(7, 109)(8, 98)(9, 123)(10, 126)(11, 128)(12, 99)(13, 103)(14, 133)(15, 121)(16, 102)(17, 120)(18, 101)(19, 116)(20, 115)(21, 139)(22, 142)(23, 131)(24, 113)(25, 111)(26, 136)(27, 105)(28, 134)(29, 129)(30, 106)(31, 140)(32, 107)(33, 125)(34, 132)(35, 119)(36, 130)(37, 110)(38, 124)(39, 138)(40, 122)(41, 144)(42, 135)(43, 117)(44, 127)(45, 143)(46, 118)(47, 141)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^4, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 26, 74, 28, 76)(12, 60, 29, 77, 30, 78)(16, 64, 32, 80, 37, 85)(20, 68, 35, 83, 34, 82)(21, 69, 41, 89, 42, 90)(24, 72, 27, 75, 40, 88)(25, 73, 31, 79, 36, 84)(33, 81, 38, 86, 39, 87)(43, 91, 48, 96, 46, 94)(44, 92, 45, 93, 47, 95)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 123, 171, 108, 156)(104, 152, 116, 164, 115, 163, 117, 165)(106, 154, 120, 168, 141, 189, 121, 169)(109, 157, 127, 175, 142, 190, 128, 176)(110, 158, 129, 177, 122, 170, 130, 178)(111, 159, 131, 179, 126, 174, 132, 180)(113, 161, 119, 167, 140, 188, 134, 182)(114, 162, 135, 183, 144, 192, 136, 184)(118, 166, 125, 173, 138, 186, 139, 187)(124, 172, 133, 181, 143, 191, 137, 185)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 122)(12, 125)(13, 110)(14, 101)(15, 113)(16, 128)(17, 102)(18, 115)(19, 103)(20, 131)(21, 137)(22, 119)(23, 105)(24, 123)(25, 127)(26, 124)(27, 136)(28, 107)(29, 126)(30, 108)(31, 132)(32, 133)(33, 134)(34, 116)(35, 130)(36, 121)(37, 112)(38, 135)(39, 129)(40, 120)(41, 138)(42, 117)(43, 144)(44, 141)(45, 143)(46, 139)(47, 140)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^4, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 11, 59)(6, 54, 23, 71, 24, 72)(7, 55, 20, 68, 25, 73)(8, 56, 27, 75, 30, 78)(9, 57, 31, 79, 22, 70)(10, 58, 32, 80, 33, 81)(13, 61, 36, 84, 38, 86)(14, 62, 40, 88, 29, 77)(16, 64, 42, 90, 19, 67)(18, 66, 43, 91, 21, 69)(26, 74, 45, 93, 34, 82)(28, 76, 35, 83, 47, 95)(37, 85, 44, 92, 46, 94)(39, 87, 48, 96, 41, 89)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 111, 159, 137, 185, 114, 162)(101, 149, 115, 163, 140, 188, 117, 165)(103, 151, 108, 156, 131, 179, 122, 170)(105, 153, 126, 174, 135, 183, 119, 167)(107, 155, 123, 171, 142, 190, 130, 178)(110, 158, 134, 182, 129, 177, 113, 161)(112, 160, 132, 180, 141, 189, 118, 166)(116, 164, 138, 186, 144, 192, 128, 176)(120, 168, 121, 169, 136, 184, 133, 181)(125, 173, 143, 191, 139, 187, 127, 175)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 116)(6, 117)(7, 97)(8, 125)(9, 107)(10, 102)(11, 98)(12, 104)(13, 133)(14, 112)(15, 138)(16, 99)(17, 127)(18, 130)(19, 136)(20, 118)(21, 106)(22, 101)(23, 141)(24, 128)(25, 113)(26, 120)(27, 115)(28, 134)(29, 108)(30, 111)(31, 121)(32, 122)(33, 114)(34, 129)(35, 142)(36, 131)(37, 135)(38, 144)(39, 109)(40, 123)(41, 140)(42, 126)(43, 119)(44, 143)(45, 139)(46, 132)(47, 137)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2 * Y3^-1 * Y2^2 * Y1^-1 * Y2 * Y1, (Y3 * Y2^-1)^4, (Y2 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 22, 70, 23, 71)(11, 59, 26, 74, 28, 76)(12, 60, 29, 77, 30, 78)(16, 64, 20, 68, 37, 85)(21, 69, 38, 86, 33, 81)(24, 72, 32, 80, 39, 87)(25, 73, 40, 88, 36, 84)(27, 75, 35, 83, 34, 82)(31, 79, 45, 93, 44, 92)(41, 89, 42, 90, 47, 95)(43, 91, 46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 123, 171, 108, 156)(104, 152, 116, 164, 137, 185, 117, 165)(106, 154, 120, 168, 125, 173, 121, 169)(109, 157, 127, 175, 113, 161, 128, 176)(110, 158, 129, 177, 142, 190, 130, 178)(111, 159, 131, 179, 143, 191, 132, 180)(114, 162, 134, 182, 124, 172, 135, 183)(115, 163, 136, 184, 139, 187, 119, 167)(118, 166, 138, 186, 140, 188, 122, 170)(126, 174, 141, 189, 144, 192, 133, 181)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 118)(10, 99)(11, 122)(12, 125)(13, 110)(14, 101)(15, 113)(16, 116)(17, 102)(18, 115)(19, 103)(20, 133)(21, 134)(22, 119)(23, 105)(24, 128)(25, 136)(26, 124)(27, 131)(28, 107)(29, 126)(30, 108)(31, 141)(32, 135)(33, 117)(34, 123)(35, 130)(36, 121)(37, 112)(38, 129)(39, 120)(40, 132)(41, 138)(42, 143)(43, 142)(44, 127)(45, 140)(46, 144)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.971
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, Y2^4, (R * Y1)^2, Y1 * Y2 * Y3 * Y2^-1, (Y3 * Y1^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y1^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 16, 64, 11, 59)(6, 54, 22, 70, 18, 66)(7, 55, 19, 67, 26, 74)(8, 56, 27, 75, 29, 77)(9, 57, 30, 78, 21, 69)(10, 58, 32, 80, 31, 79)(13, 61, 38, 86, 40, 88)(14, 62, 17, 65, 37, 85)(20, 68, 24, 72, 43, 91)(23, 71, 44, 92, 33, 81)(25, 73, 36, 84, 34, 82)(28, 76, 45, 93, 47, 95)(35, 83, 46, 94, 42, 90)(39, 87, 41, 89, 48, 96)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 113, 161, 138, 186, 114, 162)(101, 149, 110, 158, 137, 185, 116, 164)(103, 151, 121, 169, 141, 189, 118, 166)(105, 153, 108, 156, 131, 179, 127, 175)(107, 155, 130, 178, 144, 192, 128, 176)(111, 159, 135, 183, 140, 188, 122, 170)(112, 160, 125, 173, 136, 184, 119, 167)(115, 163, 123, 171, 142, 190, 139, 187)(117, 165, 132, 180, 134, 182, 120, 168)(126, 174, 133, 181, 143, 191, 129, 177)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 115)(6, 119)(7, 97)(8, 99)(9, 107)(10, 129)(11, 98)(12, 132)(13, 135)(14, 104)(15, 123)(16, 126)(17, 130)(18, 139)(19, 117)(20, 140)(21, 101)(22, 106)(23, 120)(24, 102)(25, 111)(26, 112)(27, 121)(28, 136)(29, 113)(30, 122)(31, 114)(32, 116)(33, 118)(34, 125)(35, 109)(36, 133)(37, 108)(38, 141)(39, 131)(40, 142)(41, 143)(42, 137)(43, 127)(44, 128)(45, 144)(46, 124)(47, 138)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.970
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.980 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^3, Y1^2 * Y2^-1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 5, 53)(2, 50, 6, 54, 17, 65, 7, 55)(3, 51, 8, 56, 22, 70, 9, 57)(10, 58, 25, 73, 13, 61, 26, 74)(11, 59, 27, 75, 14, 62, 28, 76)(15, 63, 29, 77, 18, 66, 30, 78)(16, 64, 31, 79, 19, 67, 32, 80)(20, 68, 33, 81, 23, 71, 34, 82)(21, 69, 35, 83, 24, 72, 36, 84)(37, 85, 43, 91, 38, 86, 44, 92)(39, 87, 45, 93, 40, 88, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 98, 99)(100, 106, 107)(101, 109, 110)(102, 111, 112)(103, 114, 115)(104, 116, 117)(105, 119, 120)(108, 113, 118)(121, 133, 127)(122, 134, 128)(123, 129, 135)(124, 130, 136)(125, 137, 131)(126, 138, 132)(139, 143, 141)(140, 144, 142)(145, 147, 146)(148, 155, 154)(149, 158, 157)(150, 160, 159)(151, 163, 162)(152, 165, 164)(153, 168, 167)(156, 166, 161)(169, 175, 181)(170, 176, 182)(171, 183, 177)(172, 184, 178)(173, 179, 185)(174, 180, 186)(187, 189, 191)(188, 190, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.981
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.981 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2^3, Y1^2 * Y2^-1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 6, 54, 102, 150, 17, 65, 113, 161, 7, 55, 103, 151)(3, 51, 99, 147, 8, 56, 104, 152, 22, 70, 118, 166, 9, 57, 105, 153)(10, 58, 106, 154, 25, 73, 121, 169, 13, 61, 109, 157, 26, 74, 122, 170)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 28, 76, 124, 172)(15, 63, 111, 159, 29, 77, 125, 173, 18, 66, 114, 162, 30, 78, 126, 174)(16, 64, 112, 160, 31, 79, 127, 175, 19, 67, 115, 163, 32, 80, 128, 176)(20, 68, 116, 164, 33, 81, 129, 177, 23, 71, 119, 167, 34, 82, 130, 178)(21, 69, 117, 165, 35, 83, 131, 179, 24, 72, 120, 168, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187, 38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189, 40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 58)(5, 61)(6, 63)(7, 66)(8, 68)(9, 71)(10, 59)(11, 52)(12, 65)(13, 62)(14, 53)(15, 64)(16, 54)(17, 70)(18, 67)(19, 55)(20, 69)(21, 56)(22, 60)(23, 72)(24, 57)(25, 85)(26, 86)(27, 81)(28, 82)(29, 89)(30, 90)(31, 73)(32, 74)(33, 87)(34, 88)(35, 77)(36, 78)(37, 79)(38, 80)(39, 75)(40, 76)(41, 83)(42, 84)(43, 95)(44, 96)(45, 91)(46, 92)(47, 93)(48, 94)(97, 147)(98, 145)(99, 146)(100, 155)(101, 158)(102, 160)(103, 163)(104, 165)(105, 168)(106, 148)(107, 154)(108, 166)(109, 149)(110, 157)(111, 150)(112, 159)(113, 156)(114, 151)(115, 162)(116, 152)(117, 164)(118, 161)(119, 153)(120, 167)(121, 175)(122, 176)(123, 183)(124, 184)(125, 179)(126, 180)(127, 181)(128, 182)(129, 171)(130, 172)(131, 185)(132, 186)(133, 169)(134, 170)(135, 177)(136, 178)(137, 173)(138, 174)(139, 189)(140, 190)(141, 191)(142, 192)(143, 187)(144, 188)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.980
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y2^4, (R * Y2)^2, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 7, 55, 12, 60)(4, 52, 13, 61, 14, 62)(6, 54, 9, 57, 17, 65)(8, 56, 20, 68, 21, 69)(10, 58, 18, 66, 24, 72)(11, 59, 25, 73, 26, 74)(15, 63, 29, 77, 30, 78)(16, 64, 31, 79, 28, 76)(19, 67, 34, 82, 35, 83)(22, 70, 36, 84, 37, 85)(23, 71, 38, 86, 39, 87)(27, 75, 42, 90, 41, 89)(32, 80, 44, 92, 43, 91)(33, 81, 45, 93, 46, 94)(40, 88, 48, 96, 47, 95)(97, 145, 99, 147, 106, 154, 102, 150)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 107, 155, 119, 167, 111, 159)(101, 149, 108, 156, 120, 168, 113, 161)(104, 152, 115, 163, 129, 177, 118, 166)(109, 157, 121, 169, 134, 182, 125, 173)(110, 158, 122, 170, 135, 183, 126, 174)(112, 160, 123, 171, 136, 184, 128, 176)(116, 164, 130, 178, 141, 189, 132, 180)(117, 165, 131, 179, 142, 190, 133, 181)(124, 172, 137, 185, 143, 191, 139, 187)(127, 175, 138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 104)(3, 107)(4, 97)(5, 112)(6, 111)(7, 115)(8, 98)(9, 118)(10, 119)(11, 99)(12, 123)(13, 124)(14, 116)(15, 102)(16, 101)(17, 128)(18, 129)(19, 103)(20, 110)(21, 127)(22, 105)(23, 106)(24, 136)(25, 137)(26, 130)(27, 108)(28, 109)(29, 139)(30, 132)(31, 117)(32, 113)(33, 114)(34, 122)(35, 138)(36, 126)(37, 140)(38, 143)(39, 141)(40, 120)(41, 121)(42, 131)(43, 125)(44, 133)(45, 135)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.984
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|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, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^4, (Y2, Y1^-1)^2 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 31, 79)(21, 69, 34, 82, 32, 80)(23, 71, 35, 83, 36, 84)(24, 72, 37, 85, 38, 86)(29, 77, 41, 89, 39, 87)(30, 78, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 131, 179, 123, 171, 133, 181)(122, 170, 135, 183, 124, 172, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(132, 180, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2 * Y3 * Y2^-1 * Y3, (R * Y2)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^3, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 13, 61)(4, 52, 14, 62, 15, 63)(6, 54, 20, 68, 21, 69)(7, 55, 22, 70, 25, 73)(8, 56, 26, 74, 27, 75)(9, 57, 29, 77, 30, 78)(11, 59, 23, 71, 35, 83)(12, 60, 24, 72, 36, 84)(16, 64, 28, 76, 39, 87)(17, 65, 40, 88, 32, 80)(18, 66, 41, 89, 33, 81)(19, 67, 42, 90, 38, 86)(31, 79, 46, 94, 45, 93)(34, 82, 47, 95, 43, 91)(37, 85, 48, 96, 44, 92)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 119, 167, 105, 153)(100, 148, 108, 156, 130, 178, 112, 160)(101, 149, 113, 161, 131, 179, 115, 163)(104, 152, 120, 168, 140, 188, 124, 172)(106, 154, 127, 175, 116, 164, 129, 177)(109, 157, 133, 181, 117, 165, 122, 170)(110, 158, 128, 176, 143, 191, 134, 182)(111, 159, 118, 166, 139, 187, 125, 173)(114, 162, 132, 180, 142, 190, 135, 183)(121, 169, 141, 189, 126, 174, 137, 185)(123, 171, 136, 184, 144, 192, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 114)(6, 112)(7, 120)(8, 98)(9, 124)(10, 128)(11, 130)(12, 99)(13, 118)(14, 129)(15, 122)(16, 102)(17, 132)(18, 101)(19, 135)(20, 134)(21, 125)(22, 109)(23, 140)(24, 103)(25, 136)(26, 111)(27, 137)(28, 105)(29, 117)(30, 138)(31, 143)(32, 106)(33, 110)(34, 107)(35, 142)(36, 113)(37, 139)(38, 116)(39, 115)(40, 121)(41, 123)(42, 126)(43, 133)(44, 119)(45, 144)(46, 131)(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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.982
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.985 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^3, Y1^2 * Y2^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 12, 60, 5, 53)(2, 50, 6, 54, 17, 65, 7, 55)(3, 51, 8, 56, 22, 70, 9, 57)(10, 58, 25, 73, 13, 61, 26, 74)(11, 59, 27, 75, 14, 62, 28, 76)(15, 63, 29, 77, 18, 66, 30, 78)(16, 64, 31, 79, 19, 67, 32, 80)(20, 68, 33, 81, 23, 71, 34, 82)(21, 69, 35, 83, 24, 72, 36, 84)(37, 85, 43, 91, 38, 86, 44, 92)(39, 87, 45, 93, 40, 88, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 98, 99)(100, 106, 107)(101, 109, 110)(102, 111, 112)(103, 114, 115)(104, 116, 117)(105, 119, 120)(108, 113, 118)(121, 133, 128)(122, 134, 127)(123, 130, 135)(124, 129, 136)(125, 137, 132)(126, 138, 131)(139, 143, 142)(140, 144, 141)(145, 147, 146)(148, 155, 154)(149, 158, 157)(150, 160, 159)(151, 163, 162)(152, 165, 164)(153, 168, 167)(156, 166, 161)(169, 176, 181)(170, 175, 182)(171, 183, 178)(172, 184, 177)(173, 180, 185)(174, 179, 186)(187, 190, 191)(188, 189, 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) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.986
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.986 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = (C2 x SL(2,3)) : C2 (small group id <96, 202>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y2^3, Y1^2 * Y2^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 6, 54, 102, 150, 17, 65, 113, 161, 7, 55, 103, 151)(3, 51, 99, 147, 8, 56, 104, 152, 22, 70, 118, 166, 9, 57, 105, 153)(10, 58, 106, 154, 25, 73, 121, 169, 13, 61, 109, 157, 26, 74, 122, 170)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 28, 76, 124, 172)(15, 63, 111, 159, 29, 77, 125, 173, 18, 66, 114, 162, 30, 78, 126, 174)(16, 64, 112, 160, 31, 79, 127, 175, 19, 67, 115, 163, 32, 80, 128, 176)(20, 68, 116, 164, 33, 81, 129, 177, 23, 71, 119, 167, 34, 82, 130, 178)(21, 69, 117, 165, 35, 83, 131, 179, 24, 72, 120, 168, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187, 38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189, 40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 51)(3, 49)(4, 58)(5, 61)(6, 63)(7, 66)(8, 68)(9, 71)(10, 59)(11, 52)(12, 65)(13, 62)(14, 53)(15, 64)(16, 54)(17, 70)(18, 67)(19, 55)(20, 69)(21, 56)(22, 60)(23, 72)(24, 57)(25, 85)(26, 86)(27, 82)(28, 81)(29, 89)(30, 90)(31, 74)(32, 73)(33, 88)(34, 87)(35, 78)(36, 77)(37, 80)(38, 79)(39, 75)(40, 76)(41, 84)(42, 83)(43, 95)(44, 96)(45, 92)(46, 91)(47, 94)(48, 93)(97, 147)(98, 145)(99, 146)(100, 155)(101, 158)(102, 160)(103, 163)(104, 165)(105, 168)(106, 148)(107, 154)(108, 166)(109, 149)(110, 157)(111, 150)(112, 159)(113, 156)(114, 151)(115, 162)(116, 152)(117, 164)(118, 161)(119, 153)(120, 167)(121, 176)(122, 175)(123, 183)(124, 184)(125, 180)(126, 179)(127, 182)(128, 181)(129, 172)(130, 171)(131, 186)(132, 185)(133, 169)(134, 170)(135, 178)(136, 177)(137, 173)(138, 174)(139, 190)(140, 189)(141, 192)(142, 191)(143, 187)(144, 188)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.985
Transitivity :: VT+
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|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, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 10, 58)(5, 53, 13, 61, 14, 62)(6, 54, 15, 63, 17, 65)(7, 55, 18, 66, 19, 67)(9, 57, 16, 64, 22, 70)(11, 59, 25, 73, 26, 74)(12, 60, 27, 75, 28, 76)(20, 68, 33, 81, 32, 80)(21, 69, 34, 82, 31, 79)(23, 71, 35, 83, 36, 84)(24, 72, 37, 85, 38, 86)(29, 77, 41, 89, 40, 88)(30, 78, 42, 90, 39, 87)(43, 91, 47, 95, 46, 94)(44, 92, 48, 96, 45, 93)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 112, 160, 103, 151)(100, 148, 107, 155, 118, 166, 108, 156)(104, 152, 116, 164, 109, 157, 117, 165)(106, 154, 119, 167, 110, 158, 120, 168)(111, 159, 125, 173, 114, 162, 126, 174)(113, 161, 127, 175, 115, 163, 128, 176)(121, 169, 133, 181, 123, 171, 131, 179)(122, 170, 135, 183, 124, 172, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(132, 180, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 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) :: { ( 6, 8, 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.988 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y2, Y3^-2 * Y1^-1 * Y2^-1, Y1^4, Y2^4, Y2^2 * Y1^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1^-1 * Y3, Y2^2 * Y1^-2, (Y2 * Y3 * Y1^-1)^2, Y2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 9, 57, 28, 76, 13, 61, 7, 55)(2, 50, 10, 58, 6, 54, 22, 70, 27, 75, 12, 60)(3, 51, 14, 62, 29, 77, 21, 69, 5, 53, 16, 64)(8, 56, 25, 73, 11, 59, 34, 82, 15, 63, 26, 74)(17, 65, 37, 85, 20, 68, 42, 90, 24, 72, 38, 86)(18, 66, 39, 87, 23, 71, 41, 89, 19, 67, 40, 88)(30, 78, 43, 91, 33, 81, 48, 96, 36, 84, 44, 92)(31, 79, 45, 93, 35, 83, 47, 95, 32, 80, 46, 94)(97, 98, 104, 101)(99, 109, 102, 111)(100, 113, 121, 115)(103, 116, 122, 114)(105, 123, 107, 125)(106, 126, 112, 128)(108, 129, 117, 127)(110, 131, 118, 132)(119, 124, 120, 130)(133, 139, 136, 142)(134, 144, 137, 141)(135, 143, 138, 140)(145, 147, 152, 150)(146, 153, 149, 155)(148, 162, 169, 164)(151, 167, 170, 168)(154, 175, 160, 177)(156, 179, 165, 180)(157, 173, 159, 171)(158, 174, 166, 176)(161, 172, 163, 178)(181, 189, 184, 192)(182, 191, 185, 188)(183, 187, 186, 190)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.994
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.989 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^4, Y2^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y2^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3^4, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 11, 59, 34, 82, 15, 63, 7, 55)(2, 50, 10, 58, 3, 51, 14, 62, 29, 77, 12, 60)(5, 53, 20, 68, 6, 54, 22, 70, 27, 75, 21, 69)(8, 56, 25, 73, 9, 57, 28, 76, 13, 61, 26, 74)(16, 64, 37, 85, 17, 65, 39, 87, 23, 71, 38, 86)(18, 66, 40, 88, 19, 67, 42, 90, 24, 72, 41, 89)(30, 78, 43, 91, 31, 79, 45, 93, 35, 83, 44, 92)(32, 80, 46, 94, 33, 81, 48, 96, 36, 84, 47, 95)(97, 98, 104, 101)(99, 109, 102, 111)(100, 112, 121, 114)(103, 113, 122, 115)(105, 123, 107, 125)(106, 126, 116, 128)(108, 127, 117, 129)(110, 131, 118, 132)(119, 124, 120, 130)(133, 139, 136, 142)(134, 141, 137, 144)(135, 140, 138, 143)(145, 147, 152, 150)(146, 153, 149, 155)(148, 161, 169, 163)(151, 167, 170, 168)(154, 175, 164, 177)(156, 179, 165, 180)(157, 171, 159, 173)(158, 174, 166, 176)(160, 172, 162, 178)(181, 189, 184, 192)(182, 188, 185, 191)(183, 187, 186, 190)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.995
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.990 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^2 * Y2, Y1^4, (R * Y3)^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1)^3, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 22, 70)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(21, 69, 37, 85)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 101)(99, 107, 102, 109)(100, 110, 116, 112)(104, 117, 106, 119)(105, 120, 114, 122)(108, 126, 115, 127)(111, 125, 113, 128)(118, 134, 124, 135)(121, 133, 123, 136)(129, 137, 131, 139)(130, 141, 132, 142)(138, 143, 140, 144)(145, 147, 151, 150)(146, 152, 149, 154)(148, 159, 164, 161)(153, 169, 162, 171)(155, 167, 157, 165)(156, 168, 163, 170)(158, 166, 160, 172)(173, 183, 176, 182)(174, 184, 175, 181)(177, 186, 179, 188)(178, 185, 180, 187)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.992
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.991 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^2 * Y2, Y1^4, (R * Y3)^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 22, 70)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(21, 69, 37, 85)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 101)(99, 107, 102, 109)(100, 110, 116, 112)(104, 117, 106, 119)(105, 120, 114, 122)(108, 126, 115, 127)(111, 125, 113, 128)(118, 134, 124, 135)(121, 133, 123, 136)(129, 137, 131, 139)(130, 141, 132, 142)(138, 143, 140, 144)(145, 147, 151, 150)(146, 152, 149, 154)(148, 159, 164, 161)(153, 169, 162, 171)(155, 165, 157, 167)(156, 168, 163, 170)(158, 166, 160, 172)(173, 182, 176, 183)(174, 181, 175, 184)(177, 186, 179, 188)(178, 185, 180, 187)(189, 191, 190, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.993
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.992 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y2, Y3^-2 * Y1^-1 * Y2^-1, Y1^4, Y2^4, Y2^2 * Y1^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1^-1 * Y3, Y2^2 * Y1^-2, (Y2 * Y3 * Y1^-1)^2, Y2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 28, 76, 124, 172, 13, 61, 109, 157, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 6, 54, 102, 150, 22, 70, 118, 166, 27, 75, 123, 171, 12, 60, 108, 156)(3, 51, 99, 147, 14, 62, 110, 158, 29, 77, 125, 173, 21, 69, 117, 165, 5, 53, 101, 149, 16, 64, 112, 160)(8, 56, 104, 152, 25, 73, 121, 169, 11, 59, 107, 155, 34, 82, 130, 178, 15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 37, 85, 133, 181, 20, 68, 116, 164, 42, 90, 138, 186, 24, 72, 120, 168, 38, 86, 134, 182)(18, 66, 114, 162, 39, 87, 135, 183, 23, 71, 119, 167, 41, 89, 137, 185, 19, 67, 115, 163, 40, 88, 136, 184)(30, 78, 126, 174, 43, 91, 139, 187, 33, 81, 129, 177, 48, 96, 144, 192, 36, 84, 132, 180, 44, 92, 140, 188)(31, 79, 127, 175, 45, 93, 141, 189, 35, 83, 131, 179, 47, 95, 143, 191, 32, 80, 128, 176, 46, 94, 142, 190)
	L = (1, 50)(2, 56)(3, 61)(4, 65)(5, 49)(6, 63)(7, 68)(8, 53)(9, 75)(10, 78)(11, 77)(12, 81)(13, 54)(14, 83)(15, 51)(16, 80)(17, 73)(18, 55)(19, 52)(20, 74)(21, 79)(22, 84)(23, 76)(24, 82)(25, 67)(26, 66)(27, 59)(28, 72)(29, 57)(30, 64)(31, 60)(32, 58)(33, 69)(34, 71)(35, 70)(36, 62)(37, 91)(38, 96)(39, 95)(40, 94)(41, 93)(42, 92)(43, 88)(44, 87)(45, 86)(46, 85)(47, 90)(48, 89)(97, 147)(98, 153)(99, 152)(100, 162)(101, 155)(102, 145)(103, 167)(104, 150)(105, 149)(106, 175)(107, 146)(108, 179)(109, 173)(110, 174)(111, 171)(112, 177)(113, 172)(114, 169)(115, 178)(116, 148)(117, 180)(118, 176)(119, 170)(120, 151)(121, 164)(122, 168)(123, 157)(124, 163)(125, 159)(126, 166)(127, 160)(128, 158)(129, 154)(130, 161)(131, 165)(132, 156)(133, 189)(134, 191)(135, 187)(136, 192)(137, 188)(138, 190)(139, 186)(140, 182)(141, 184)(142, 183)(143, 185)(144, 181)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.990
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.993 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y1^4, Y2^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y2^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3^4, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 11, 59, 107, 155, 34, 82, 130, 178, 15, 63, 111, 159, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 3, 51, 99, 147, 14, 62, 110, 158, 29, 77, 125, 173, 12, 60, 108, 156)(5, 53, 101, 149, 20, 68, 116, 164, 6, 54, 102, 150, 22, 70, 118, 166, 27, 75, 123, 171, 21, 69, 117, 165)(8, 56, 104, 152, 25, 73, 121, 169, 9, 57, 105, 153, 28, 76, 124, 172, 13, 61, 109, 157, 26, 74, 122, 170)(16, 64, 112, 160, 37, 85, 133, 181, 17, 65, 113, 161, 39, 87, 135, 183, 23, 71, 119, 167, 38, 86, 134, 182)(18, 66, 114, 162, 40, 88, 136, 184, 19, 67, 115, 163, 42, 90, 138, 186, 24, 72, 120, 168, 41, 89, 137, 185)(30, 78, 126, 174, 43, 91, 139, 187, 31, 79, 127, 175, 45, 93, 141, 189, 35, 83, 131, 179, 44, 92, 140, 188)(32, 80, 128, 176, 46, 94, 142, 190, 33, 81, 129, 177, 48, 96, 144, 192, 36, 84, 132, 180, 47, 95, 143, 191)
	L = (1, 50)(2, 56)(3, 61)(4, 64)(5, 49)(6, 63)(7, 65)(8, 53)(9, 75)(10, 78)(11, 77)(12, 79)(13, 54)(14, 83)(15, 51)(16, 73)(17, 74)(18, 52)(19, 55)(20, 80)(21, 81)(22, 84)(23, 76)(24, 82)(25, 66)(26, 67)(27, 59)(28, 72)(29, 57)(30, 68)(31, 69)(32, 58)(33, 60)(34, 71)(35, 70)(36, 62)(37, 91)(38, 93)(39, 92)(40, 94)(41, 96)(42, 95)(43, 88)(44, 90)(45, 89)(46, 85)(47, 87)(48, 86)(97, 147)(98, 153)(99, 152)(100, 161)(101, 155)(102, 145)(103, 167)(104, 150)(105, 149)(106, 175)(107, 146)(108, 179)(109, 171)(110, 174)(111, 173)(112, 172)(113, 169)(114, 178)(115, 148)(116, 177)(117, 180)(118, 176)(119, 170)(120, 151)(121, 163)(122, 168)(123, 159)(124, 162)(125, 157)(126, 166)(127, 164)(128, 158)(129, 154)(130, 160)(131, 165)(132, 156)(133, 189)(134, 188)(135, 187)(136, 192)(137, 191)(138, 190)(139, 186)(140, 185)(141, 184)(142, 183)(143, 182)(144, 181)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.991
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.994 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^2 * Y2, Y1^4, (R * Y3)^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1)^3, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 20, 68, 116, 164)(8, 56, 104, 152, 22, 70, 118, 166)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 62)(5, 49)(6, 61)(7, 53)(8, 69)(9, 72)(10, 71)(11, 54)(12, 78)(13, 51)(14, 68)(15, 77)(16, 52)(17, 80)(18, 74)(19, 79)(20, 64)(21, 58)(22, 86)(23, 56)(24, 66)(25, 85)(26, 57)(27, 88)(28, 87)(29, 65)(30, 67)(31, 60)(32, 63)(33, 89)(34, 93)(35, 91)(36, 94)(37, 75)(38, 76)(39, 70)(40, 73)(41, 83)(42, 95)(43, 81)(44, 96)(45, 84)(46, 82)(47, 92)(48, 90)(97, 147)(98, 152)(99, 151)(100, 159)(101, 154)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 167)(108, 168)(109, 165)(110, 166)(111, 164)(112, 172)(113, 148)(114, 171)(115, 170)(116, 161)(117, 155)(118, 160)(119, 157)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 183)(126, 184)(127, 181)(128, 182)(129, 186)(130, 185)(131, 188)(132, 187)(133, 174)(134, 173)(135, 176)(136, 175)(137, 180)(138, 179)(139, 178)(140, 177)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.988
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.995 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^2 * Y2, Y1^4, (R * Y3)^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 20, 68, 116, 164)(8, 56, 104, 152, 22, 70, 118, 166)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 62)(5, 49)(6, 61)(7, 53)(8, 69)(9, 72)(10, 71)(11, 54)(12, 78)(13, 51)(14, 68)(15, 77)(16, 52)(17, 80)(18, 74)(19, 79)(20, 64)(21, 58)(22, 86)(23, 56)(24, 66)(25, 85)(26, 57)(27, 88)(28, 87)(29, 65)(30, 67)(31, 60)(32, 63)(33, 89)(34, 93)(35, 91)(36, 94)(37, 75)(38, 76)(39, 70)(40, 73)(41, 83)(42, 95)(43, 81)(44, 96)(45, 84)(46, 82)(47, 92)(48, 90)(97, 147)(98, 152)(99, 151)(100, 159)(101, 154)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 165)(108, 168)(109, 167)(110, 166)(111, 164)(112, 172)(113, 148)(114, 171)(115, 170)(116, 161)(117, 157)(118, 160)(119, 155)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 182)(126, 181)(127, 184)(128, 183)(129, 186)(130, 185)(131, 188)(132, 187)(133, 175)(134, 176)(135, 173)(136, 174)(137, 180)(138, 179)(139, 178)(140, 177)(141, 191)(142, 192)(143, 190)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.989
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y2)^2, (R * Y2 * Y3)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 17, 65)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 18, 66)(11, 59, 28, 76)(13, 61, 33, 81)(14, 62, 34, 82)(16, 64, 32, 80)(19, 67, 38, 86)(21, 69, 43, 91)(22, 70, 44, 92)(24, 72, 42, 90)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 45, 93)(29, 77, 46, 94)(30, 78, 41, 89)(31, 79, 40, 88)(37, 85, 47, 95)(39, 87, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 114, 162, 104, 152)(100, 148, 109, 157, 123, 171, 110, 158)(103, 151, 117, 165, 133, 181, 118, 166)(105, 153, 121, 169, 111, 159, 122, 170)(107, 155, 125, 173, 112, 160, 126, 174)(108, 156, 124, 172, 141, 189, 128, 176)(113, 161, 131, 179, 119, 167, 132, 180)(115, 163, 135, 183, 120, 168, 136, 184)(116, 164, 134, 182, 143, 191, 138, 186)(127, 175, 139, 187, 144, 192, 140, 188)(129, 177, 142, 190, 130, 178, 137, 185)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 115)(7, 98)(8, 120)(9, 117)(10, 123)(11, 99)(12, 127)(13, 113)(14, 119)(15, 118)(16, 101)(17, 109)(18, 133)(19, 102)(20, 137)(21, 105)(22, 111)(23, 110)(24, 104)(25, 135)(26, 136)(27, 106)(28, 134)(29, 131)(30, 132)(31, 108)(32, 138)(33, 139)(34, 140)(35, 125)(36, 126)(37, 114)(38, 124)(39, 121)(40, 122)(41, 116)(42, 128)(43, 129)(44, 130)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1020
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1, (Y2 * Y3 * Y2)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 17, 65)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 18, 66)(11, 59, 28, 76)(13, 61, 33, 81)(14, 62, 34, 82)(16, 64, 32, 80)(19, 67, 38, 86)(21, 69, 43, 91)(22, 70, 44, 92)(24, 72, 42, 90)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 41, 89)(29, 77, 45, 93)(30, 78, 46, 94)(31, 79, 37, 85)(39, 87, 47, 95)(40, 88, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 114, 162, 104, 152)(100, 148, 109, 157, 123, 171, 110, 158)(103, 151, 117, 165, 133, 181, 118, 166)(105, 153, 121, 169, 111, 159, 122, 170)(107, 155, 125, 173, 112, 160, 126, 174)(108, 156, 124, 172, 137, 185, 128, 176)(113, 161, 131, 179, 119, 167, 132, 180)(115, 163, 135, 183, 120, 168, 136, 184)(116, 164, 134, 182, 127, 175, 138, 186)(129, 177, 141, 189, 130, 178, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 115)(7, 98)(8, 120)(9, 117)(10, 123)(11, 99)(12, 127)(13, 113)(14, 119)(15, 118)(16, 101)(17, 109)(18, 133)(19, 102)(20, 137)(21, 105)(22, 111)(23, 110)(24, 104)(25, 135)(26, 136)(27, 106)(28, 140)(29, 131)(30, 132)(31, 108)(32, 139)(33, 138)(34, 134)(35, 125)(36, 126)(37, 114)(38, 130)(39, 121)(40, 122)(41, 116)(42, 129)(43, 128)(44, 124)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1021
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y1, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 17, 65)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 18, 66)(11, 59, 28, 76)(13, 61, 33, 81)(14, 62, 34, 82)(16, 64, 32, 80)(19, 67, 38, 86)(21, 69, 43, 91)(22, 70, 44, 92)(24, 72, 42, 90)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 45, 93)(29, 77, 41, 89)(30, 78, 46, 94)(31, 79, 39, 87)(37, 85, 47, 95)(40, 88, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 114, 162, 104, 152)(100, 148, 109, 157, 123, 171, 110, 158)(103, 151, 117, 165, 133, 181, 118, 166)(105, 153, 121, 169, 111, 159, 122, 170)(107, 155, 125, 173, 112, 160, 126, 174)(108, 156, 124, 172, 141, 189, 128, 176)(113, 161, 131, 179, 119, 167, 132, 180)(115, 163, 135, 183, 120, 168, 136, 184)(116, 164, 134, 182, 143, 191, 138, 186)(127, 175, 140, 188, 144, 192, 139, 187)(129, 177, 137, 185, 130, 178, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 115)(7, 98)(8, 120)(9, 117)(10, 123)(11, 99)(12, 127)(13, 113)(14, 119)(15, 118)(16, 101)(17, 109)(18, 133)(19, 102)(20, 137)(21, 105)(22, 111)(23, 110)(24, 104)(25, 135)(26, 136)(27, 106)(28, 138)(29, 131)(30, 132)(31, 108)(32, 134)(33, 140)(34, 139)(35, 125)(36, 126)(37, 114)(38, 128)(39, 121)(40, 122)(41, 116)(42, 124)(43, 130)(44, 129)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1022
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y3 * Y2^-1)^2, (Y2 * Y1 * Y2)^2, Y2^-1 * Y1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2)^4, (Y3 * Y2 * Y1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 17, 65)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 18, 66)(11, 59, 21, 69)(13, 61, 19, 67)(14, 62, 24, 72)(16, 64, 22, 70)(25, 73, 33, 81)(26, 74, 32, 80)(27, 75, 39, 87)(28, 76, 36, 84)(29, 77, 35, 83)(30, 78, 42, 90)(31, 79, 43, 91)(34, 82, 44, 92)(37, 85, 47, 95)(38, 86, 48, 96)(40, 88, 45, 93)(41, 89, 46, 94)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 114, 162, 104, 152)(100, 148, 109, 157, 122, 170, 110, 158)(103, 151, 117, 165, 129, 177, 118, 166)(105, 153, 121, 169, 111, 159, 116, 164)(107, 155, 123, 171, 112, 160, 124, 172)(108, 156, 113, 161, 128, 176, 119, 167)(115, 163, 130, 178, 120, 168, 131, 179)(125, 173, 138, 186, 140, 188, 139, 187)(126, 174, 136, 184, 127, 175, 137, 185)(132, 180, 143, 191, 135, 183, 144, 192)(133, 181, 141, 189, 134, 182, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 115)(7, 98)(8, 120)(9, 113)(10, 122)(11, 99)(12, 125)(13, 126)(14, 127)(15, 119)(16, 101)(17, 105)(18, 129)(19, 102)(20, 132)(21, 133)(22, 134)(23, 111)(24, 104)(25, 135)(26, 106)(27, 136)(28, 137)(29, 108)(30, 109)(31, 110)(32, 140)(33, 114)(34, 141)(35, 142)(36, 116)(37, 117)(38, 118)(39, 121)(40, 123)(41, 124)(42, 143)(43, 144)(44, 128)(45, 130)(46, 131)(47, 138)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1023
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3, Y3 * Y2^2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * 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, 17, 65)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 18, 66)(11, 59, 21, 69)(13, 61, 19, 67)(14, 62, 24, 72)(16, 64, 22, 70)(25, 73, 40, 88)(26, 74, 44, 92)(27, 75, 39, 87)(28, 76, 41, 89)(29, 77, 37, 85)(30, 78, 35, 83)(31, 79, 38, 86)(32, 80, 43, 91)(33, 81, 42, 90)(34, 82, 36, 84)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 114, 162, 104, 152)(100, 148, 109, 157, 124, 172, 110, 158)(103, 151, 117, 165, 134, 182, 118, 166)(105, 153, 121, 169, 111, 159, 123, 171)(107, 155, 125, 173, 112, 160, 126, 174)(108, 156, 122, 170, 137, 185, 128, 176)(113, 161, 131, 179, 119, 167, 133, 181)(115, 163, 135, 183, 120, 168, 136, 184)(116, 164, 132, 180, 127, 175, 138, 186)(129, 177, 141, 189, 130, 178, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 115)(7, 98)(8, 120)(9, 122)(10, 124)(11, 99)(12, 127)(13, 129)(14, 130)(15, 128)(16, 101)(17, 132)(18, 134)(19, 102)(20, 137)(21, 139)(22, 140)(23, 138)(24, 104)(25, 133)(26, 105)(27, 131)(28, 106)(29, 141)(30, 142)(31, 108)(32, 111)(33, 109)(34, 110)(35, 123)(36, 113)(37, 121)(38, 114)(39, 143)(40, 144)(41, 116)(42, 119)(43, 117)(44, 118)(45, 125)(46, 126)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1024
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1001 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2^-1 * Y3 * Y2^-1)^2, (Y3 * Y2)^4, (R * Y2 * Y1 * Y2^-1)^2, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2^-1 * Y1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 15, 63)(6, 54, 17, 65)(7, 55, 20, 68)(8, 56, 23, 71)(10, 58, 18, 66)(11, 59, 21, 69)(13, 61, 19, 67)(14, 62, 24, 72)(16, 64, 22, 70)(25, 73, 33, 81)(26, 74, 32, 80)(27, 75, 36, 84)(28, 76, 39, 87)(29, 77, 34, 82)(30, 78, 42, 90)(31, 79, 43, 91)(35, 83, 44, 92)(37, 85, 47, 95)(38, 86, 48, 96)(40, 88, 45, 93)(41, 89, 46, 94)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 114, 162, 104, 152)(100, 148, 109, 157, 122, 170, 110, 158)(103, 151, 117, 165, 129, 177, 118, 166)(105, 153, 116, 164, 111, 159, 121, 169)(107, 155, 123, 171, 112, 160, 124, 172)(108, 156, 119, 167, 128, 176, 113, 161)(115, 163, 130, 178, 120, 168, 131, 179)(125, 173, 138, 186, 140, 188, 139, 187)(126, 174, 136, 184, 127, 175, 137, 185)(132, 180, 143, 191, 135, 183, 144, 192)(133, 181, 141, 189, 134, 182, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 112)(6, 115)(7, 98)(8, 120)(9, 119)(10, 122)(11, 99)(12, 125)(13, 126)(14, 127)(15, 113)(16, 101)(17, 111)(18, 129)(19, 102)(20, 132)(21, 133)(22, 134)(23, 105)(24, 104)(25, 135)(26, 106)(27, 136)(28, 137)(29, 108)(30, 109)(31, 110)(32, 140)(33, 114)(34, 141)(35, 142)(36, 116)(37, 117)(38, 118)(39, 121)(40, 123)(41, 124)(42, 144)(43, 143)(44, 128)(45, 130)(46, 131)(47, 139)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1027
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1002 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^4, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 16, 64)(6, 54, 10, 58)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 19, 67)(13, 61, 26, 74)(14, 62, 28, 76)(15, 63, 31, 79)(17, 65, 32, 80)(20, 68, 34, 82)(21, 69, 36, 84)(22, 70, 39, 87)(24, 72, 40, 88)(25, 73, 33, 81)(27, 75, 35, 83)(29, 77, 37, 85)(30, 78, 38, 86)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 110, 158, 125, 173, 111, 159)(102, 150, 109, 157, 126, 174, 113, 161)(104, 152, 117, 165, 133, 181, 118, 166)(106, 154, 116, 164, 134, 182, 120, 168)(107, 155, 121, 169, 112, 160, 123, 171)(114, 162, 129, 177, 119, 167, 131, 179)(122, 170, 138, 186, 128, 176, 139, 187)(124, 172, 137, 185, 127, 175, 140, 188)(130, 178, 142, 190, 136, 184, 143, 191)(132, 180, 141, 189, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 116)(8, 106)(9, 120)(10, 98)(11, 122)(12, 125)(13, 110)(14, 99)(15, 101)(16, 128)(17, 111)(18, 130)(19, 133)(20, 117)(21, 103)(22, 105)(23, 136)(24, 118)(25, 137)(26, 124)(27, 140)(28, 107)(29, 126)(30, 108)(31, 112)(32, 127)(33, 141)(34, 132)(35, 144)(36, 114)(37, 134)(38, 115)(39, 119)(40, 135)(41, 138)(42, 121)(43, 123)(44, 139)(45, 142)(46, 129)(47, 131)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1029
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2^-1 * Y3, Y2^4, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y3 * R * Y2^-1, Y3^-2 * Y2^2 * Y3^-1, (Y2^-2 * Y1)^2, (Y2^-1 * Y1)^4, R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 17, 65)(6, 54, 10, 58)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 30, 78)(14, 62, 32, 80)(15, 63, 24, 72)(16, 64, 33, 81)(18, 66, 34, 82)(19, 67, 28, 76)(22, 70, 36, 84)(23, 71, 38, 86)(25, 73, 39, 87)(27, 75, 40, 88)(29, 77, 35, 83)(31, 79, 37, 85)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 115, 163, 112, 160)(102, 150, 109, 157, 111, 159, 114, 162)(104, 152, 119, 167, 124, 172, 121, 169)(106, 154, 118, 166, 120, 168, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(116, 164, 131, 179, 122, 170, 133, 181)(126, 174, 138, 186, 130, 178, 139, 187)(128, 176, 137, 185, 129, 177, 140, 188)(132, 180, 142, 190, 136, 184, 143, 191)(134, 182, 141, 189, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 115)(13, 112)(14, 99)(15, 108)(16, 101)(17, 130)(18, 110)(19, 102)(20, 132)(21, 124)(22, 121)(23, 103)(24, 117)(25, 105)(26, 136)(27, 119)(28, 106)(29, 137)(30, 129)(31, 140)(32, 107)(33, 113)(34, 128)(35, 141)(36, 135)(37, 144)(38, 116)(39, 122)(40, 134)(41, 139)(42, 125)(43, 127)(44, 138)(45, 143)(46, 131)(47, 133)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1030
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3^-1, Y3^6, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^2 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3^-3 * Y2, (Y2 * R * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 17, 65)(6, 54, 10, 58)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 30, 78)(14, 62, 32, 80)(15, 63, 24, 72)(16, 64, 39, 87)(18, 66, 40, 88)(19, 67, 28, 76)(22, 70, 36, 84)(23, 71, 35, 83)(25, 73, 41, 89)(27, 75, 38, 86)(29, 77, 42, 90)(31, 79, 37, 85)(33, 81, 43, 91)(34, 82, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 129, 177, 112, 160)(102, 150, 109, 157, 130, 178, 114, 162)(104, 152, 119, 167, 139, 187, 121, 169)(106, 154, 118, 166, 140, 188, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 132, 180, 143, 191, 134, 182)(115, 163, 131, 179, 144, 192, 137, 185)(116, 164, 138, 186, 122, 170, 133, 181)(120, 168, 126, 174, 142, 190, 136, 184)(124, 172, 128, 176, 141, 189, 135, 183)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 129)(13, 131)(14, 99)(15, 133)(16, 101)(17, 136)(18, 137)(19, 102)(20, 132)(21, 139)(22, 128)(23, 103)(24, 127)(25, 105)(26, 134)(27, 135)(28, 106)(29, 141)(30, 119)(31, 124)(32, 107)(33, 143)(34, 108)(35, 116)(36, 110)(37, 115)(38, 112)(39, 113)(40, 121)(41, 122)(42, 144)(43, 142)(44, 117)(45, 140)(46, 125)(47, 138)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1032
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3^6, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3^-3 * Y1 * Y2^-1, Y1 * Y2 * Y3^3 * Y1 * Y2, (Y2 * R * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 17, 65)(6, 54, 10, 58)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 30, 78)(14, 62, 32, 80)(15, 63, 24, 72)(16, 64, 39, 87)(18, 66, 40, 88)(19, 67, 28, 76)(22, 70, 38, 86)(23, 71, 41, 89)(25, 73, 35, 83)(27, 75, 36, 84)(29, 77, 37, 85)(31, 79, 42, 90)(33, 81, 43, 91)(34, 82, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 129, 177, 112, 160)(102, 150, 109, 157, 130, 178, 114, 162)(104, 152, 119, 167, 139, 187, 121, 169)(106, 154, 118, 166, 140, 188, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 132, 180, 143, 191, 134, 182)(115, 163, 131, 179, 144, 192, 137, 185)(116, 164, 133, 181, 122, 170, 138, 186)(120, 168, 136, 184, 141, 189, 126, 174)(124, 172, 135, 183, 142, 190, 128, 176)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 129)(13, 131)(14, 99)(15, 133)(16, 101)(17, 136)(18, 137)(19, 102)(20, 134)(21, 139)(22, 135)(23, 103)(24, 125)(25, 105)(26, 132)(27, 128)(28, 106)(29, 124)(30, 121)(31, 142)(32, 107)(33, 143)(34, 108)(35, 122)(36, 110)(37, 115)(38, 112)(39, 113)(40, 119)(41, 116)(42, 144)(43, 141)(44, 117)(45, 127)(46, 140)(47, 138)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1031
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal 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, 46, 94)(42, 90, 43, 91)(44, 92, 45, 93)(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, 133, 181, 127, 175, 136, 184)(124, 172, 138, 186, 128, 176, 139, 187)(125, 173, 140, 188, 132, 180, 141, 189)(130, 178, 134, 182, 131, 179, 137, 185)(135, 183, 143, 191, 142, 190, 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, 114)(30, 111)(31, 113)(32, 109)(33, 142)(34, 140)(35, 141)(36, 116)(37, 120)(38, 117)(39, 122)(40, 121)(41, 119)(42, 143)(43, 144)(44, 124)(45, 128)(46, 126)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1035
Graph:: bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2^-1 ]
Map:: polytopal 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, 22, 70)(12, 60, 19, 67)(13, 61, 14, 62)(15, 63, 23, 71)(16, 64, 18, 66)(17, 65, 20, 68)(21, 69, 24, 72)(25, 73, 29, 77)(26, 74, 27, 75)(28, 76, 36, 84)(30, 78, 31, 79)(32, 80, 38, 86)(33, 81, 34, 82)(35, 83, 37, 85)(39, 87, 43, 91)(40, 88, 41, 89)(42, 90, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 110, 158, 121, 169, 112, 160)(102, 150, 115, 163, 122, 170, 116, 164)(104, 152, 109, 157, 125, 173, 114, 162)(106, 154, 108, 156, 123, 171, 113, 161)(111, 159, 126, 174, 135, 183, 129, 177)(117, 165, 124, 172, 136, 184, 131, 179)(119, 167, 127, 175, 139, 187, 130, 178)(120, 168, 132, 180, 137, 185, 133, 181)(128, 176, 140, 188, 143, 191, 141, 189)(134, 182, 138, 186, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 115)(8, 119)(9, 116)(10, 98)(11, 121)(12, 124)(13, 99)(14, 103)(15, 128)(16, 105)(17, 131)(18, 101)(19, 132)(20, 133)(21, 102)(22, 125)(23, 134)(24, 106)(25, 135)(26, 107)(27, 118)(28, 138)(29, 139)(30, 109)(31, 110)(32, 117)(33, 114)(34, 112)(35, 142)(36, 140)(37, 141)(38, 120)(39, 143)(40, 122)(41, 123)(42, 126)(43, 144)(44, 127)(45, 130)(46, 129)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1033
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^6 ]
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, 22, 70)(12, 60, 20, 68)(13, 61, 16, 64)(14, 62, 18, 66)(15, 63, 23, 71)(17, 65, 19, 67)(21, 69, 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, 45, 93)(44, 92, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 110, 158, 121, 169, 112, 160)(102, 150, 115, 163, 122, 170, 116, 164)(104, 152, 114, 162, 125, 173, 109, 157)(106, 154, 113, 161, 124, 172, 108, 156)(111, 159, 126, 174, 135, 183, 129, 177)(117, 165, 123, 171, 136, 184, 131, 179)(119, 167, 130, 178, 139, 187, 127, 175)(120, 168, 133, 181, 138, 186, 132, 180)(128, 176, 140, 188, 143, 191, 141, 189)(134, 182, 142, 190, 144, 192, 137, 185)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 116)(8, 119)(9, 115)(10, 98)(11, 121)(12, 123)(13, 99)(14, 105)(15, 128)(16, 103)(17, 131)(18, 101)(19, 132)(20, 133)(21, 102)(22, 125)(23, 134)(24, 106)(25, 135)(26, 107)(27, 137)(28, 118)(29, 139)(30, 109)(31, 110)(32, 117)(33, 114)(34, 112)(35, 142)(36, 140)(37, 141)(38, 120)(39, 143)(40, 122)(41, 126)(42, 124)(43, 144)(44, 127)(45, 130)(46, 129)(47, 136)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1034
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y3^-1 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y3^6, Y2 * Y3 * Y2^-1 * Y1 * Y3^-2, Y3^-3 * Y2 * Y1 * Y2^-1, Y2 * Y3^-3 * Y2^-1 * Y1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2)^4, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 18, 66)(6, 54, 10, 58)(7, 55, 24, 72)(9, 57, 31, 79)(12, 60, 25, 73)(13, 61, 34, 82)(14, 62, 28, 76)(15, 63, 27, 75)(16, 64, 29, 77)(17, 65, 33, 81)(19, 67, 35, 83)(20, 68, 30, 78)(21, 69, 26, 74)(22, 70, 32, 80)(23, 71, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 121, 169, 105, 153)(100, 148, 111, 159, 135, 183, 113, 161)(102, 150, 117, 165, 136, 184, 118, 166)(104, 152, 124, 172, 141, 189, 126, 174)(106, 154, 130, 178, 142, 190, 131, 179)(107, 155, 133, 181, 114, 162, 134, 182)(109, 157, 137, 185, 115, 163, 125, 173)(110, 158, 138, 186, 116, 164, 132, 180)(112, 160, 122, 170, 143, 191, 128, 176)(119, 167, 123, 171, 144, 192, 129, 177)(120, 168, 139, 187, 127, 175, 140, 188)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 128)(10, 98)(11, 130)(12, 135)(13, 123)(14, 99)(15, 120)(16, 134)(17, 127)(18, 131)(19, 129)(20, 101)(21, 124)(22, 126)(23, 102)(24, 117)(25, 141)(26, 110)(27, 103)(28, 107)(29, 140)(30, 114)(31, 118)(32, 116)(33, 105)(34, 111)(35, 113)(36, 106)(37, 144)(38, 119)(39, 143)(40, 108)(41, 139)(42, 142)(43, 138)(44, 132)(45, 137)(46, 121)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1028
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y2^-2 * Y3^-3 * Y1, Y3^-2 * Y2^-2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y1 * Y3, Y2^-1 * Y3^-2 * Y2^-1 * Y1 * Y3, Y3^6, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (Y2^-2 * Y1)^2, Y2^-1 * Y3 * Y1 * Y3^2 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 18, 66)(6, 54, 10, 58)(7, 55, 24, 72)(9, 57, 31, 79)(12, 60, 25, 73)(13, 61, 34, 82)(14, 62, 28, 76)(15, 63, 27, 75)(16, 64, 29, 77)(17, 65, 33, 81)(19, 67, 35, 83)(20, 68, 30, 78)(21, 69, 26, 74)(22, 70, 32, 80)(23, 71, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 121, 169, 105, 153)(100, 148, 111, 159, 132, 180, 113, 161)(102, 150, 117, 165, 125, 173, 118, 166)(104, 152, 124, 172, 119, 167, 126, 174)(106, 154, 130, 178, 112, 160, 131, 179)(107, 155, 133, 181, 114, 162, 134, 182)(109, 157, 135, 183, 115, 163, 136, 184)(110, 158, 137, 185, 116, 164, 138, 186)(120, 168, 139, 187, 127, 175, 140, 188)(122, 170, 141, 189, 128, 176, 142, 190)(123, 171, 143, 191, 129, 177, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 128)(10, 98)(11, 130)(12, 132)(13, 126)(14, 99)(15, 120)(16, 121)(17, 127)(18, 131)(19, 124)(20, 101)(21, 129)(22, 123)(23, 102)(24, 117)(25, 119)(26, 113)(27, 103)(28, 107)(29, 108)(30, 114)(31, 118)(32, 111)(33, 105)(34, 116)(35, 110)(36, 106)(37, 143)(38, 144)(39, 139)(40, 140)(41, 142)(42, 141)(43, 137)(44, 138)(45, 133)(46, 134)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1026
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y3^6, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (Y2 * Y3^-1 * Y2^-1 * Y3^-1)^2, (Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 18, 66)(6, 54, 10, 58)(7, 55, 24, 72)(9, 57, 31, 79)(12, 60, 25, 73)(13, 61, 34, 82)(14, 62, 28, 76)(15, 63, 27, 75)(16, 64, 29, 77)(17, 65, 33, 81)(19, 67, 35, 83)(20, 68, 30, 78)(21, 69, 26, 74)(22, 70, 32, 80)(23, 71, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 121, 169, 105, 153)(100, 148, 111, 159, 135, 183, 113, 161)(102, 150, 117, 165, 136, 184, 118, 166)(104, 152, 124, 172, 141, 189, 126, 174)(106, 154, 130, 178, 142, 190, 131, 179)(107, 155, 133, 181, 114, 162, 134, 182)(109, 157, 125, 173, 115, 163, 137, 185)(110, 158, 132, 180, 116, 164, 138, 186)(112, 160, 128, 176, 143, 191, 122, 170)(119, 167, 129, 177, 144, 192, 123, 171)(120, 168, 139, 187, 127, 175, 140, 188)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 128)(10, 98)(11, 130)(12, 135)(13, 129)(14, 99)(15, 120)(16, 133)(17, 127)(18, 131)(19, 123)(20, 101)(21, 126)(22, 124)(23, 102)(24, 117)(25, 141)(26, 116)(27, 103)(28, 107)(29, 139)(30, 114)(31, 118)(32, 110)(33, 105)(34, 113)(35, 111)(36, 106)(37, 119)(38, 144)(39, 143)(40, 108)(41, 140)(42, 142)(43, 132)(44, 138)(45, 137)(46, 121)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1025
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, Y3^3 * Y2^-1, Y2^4, (Y3^-1 * Y1^-1)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 22, 70, 11, 59)(4, 52, 17, 65, 23, 71, 12, 60)(6, 54, 19, 67, 24, 72, 9, 57)(7, 55, 20, 68, 25, 73, 10, 58)(14, 62, 26, 74, 38, 86, 32, 80)(15, 63, 30, 78, 39, 87, 33, 81)(16, 64, 29, 77, 40, 88, 31, 79)(18, 66, 28, 76, 41, 89, 36, 84)(21, 69, 27, 75, 42, 90, 37, 85)(34, 82, 46, 94, 47, 95, 44, 92)(35, 83, 45, 93, 48, 96, 43, 91)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 122, 170, 107, 155)(100, 148, 111, 159, 130, 178, 114, 162)(101, 149, 115, 163, 128, 176, 109, 157)(103, 151, 112, 160, 131, 179, 117, 165)(104, 152, 118, 166, 134, 182, 120, 168)(106, 154, 123, 171, 139, 187, 125, 173)(108, 156, 124, 172, 140, 188, 126, 174)(113, 161, 132, 180, 142, 190, 129, 177)(116, 164, 133, 181, 141, 189, 127, 175)(119, 167, 135, 183, 143, 191, 137, 185)(121, 169, 136, 184, 144, 192, 138, 186)
	L = (1, 100)(2, 106)(3, 111)(4, 112)(5, 116)(6, 114)(7, 97)(8, 119)(9, 123)(10, 124)(11, 125)(12, 98)(13, 127)(14, 130)(15, 131)(16, 99)(17, 101)(18, 103)(19, 133)(20, 132)(21, 102)(22, 135)(23, 136)(24, 137)(25, 104)(26, 139)(27, 140)(28, 105)(29, 108)(30, 107)(31, 113)(32, 141)(33, 109)(34, 117)(35, 110)(36, 115)(37, 142)(38, 143)(39, 144)(40, 118)(41, 121)(42, 120)(43, 126)(44, 122)(45, 129)(46, 128)(47, 138)(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, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1018
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3^-1), (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y1^4, Y2^4, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-2 * Y1^-2, Y2^2 * Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 24, 72, 11, 59)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 20, 68, 26, 74, 9, 57)(7, 55, 21, 69, 27, 75, 10, 58)(14, 62, 28, 76, 42, 90, 36, 84)(15, 63, 33, 81, 23, 71, 31, 79)(16, 64, 32, 80, 43, 91, 35, 83)(18, 66, 34, 82, 22, 70, 29, 77)(19, 67, 30, 78, 44, 92, 40, 88)(37, 85, 48, 96, 39, 87, 46, 94)(38, 86, 47, 95, 41, 89, 45, 93)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 124, 172, 107, 155)(100, 148, 111, 159, 133, 181, 115, 163)(101, 149, 116, 164, 132, 180, 109, 157)(103, 151, 112, 160, 134, 182, 118, 166)(104, 152, 120, 168, 138, 186, 122, 170)(106, 154, 125, 173, 141, 189, 128, 176)(108, 156, 126, 174, 142, 190, 129, 177)(113, 161, 136, 184, 144, 192, 127, 175)(114, 162, 123, 171, 139, 187, 137, 185)(117, 165, 130, 178, 143, 191, 131, 179)(119, 167, 135, 183, 140, 188, 121, 169)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 117)(6, 115)(7, 97)(8, 121)(9, 125)(10, 127)(11, 128)(12, 98)(13, 131)(14, 133)(15, 123)(16, 99)(17, 101)(18, 122)(19, 137)(20, 130)(21, 129)(22, 102)(23, 103)(24, 119)(25, 118)(26, 140)(27, 104)(28, 141)(29, 113)(30, 105)(31, 109)(32, 144)(33, 107)(34, 108)(35, 142)(36, 143)(37, 139)(38, 110)(39, 112)(40, 116)(41, 138)(42, 135)(43, 120)(44, 134)(45, 136)(46, 124)(47, 126)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1017
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, (R * Y2)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1, Y2), Y2^4, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2, Y2 * Y1^-1 * Y3^3 * Y1, Y2 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1, Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 24, 72, 11, 59)(4, 52, 17, 65, 25, 73, 12, 60)(6, 54, 20, 68, 26, 74, 9, 57)(7, 55, 21, 69, 27, 75, 10, 58)(14, 62, 28, 76, 42, 90, 35, 83)(15, 63, 33, 81, 43, 91, 36, 84)(16, 64, 32, 80, 18, 66, 34, 82)(19, 67, 30, 78, 23, 71, 31, 79)(22, 70, 29, 77, 44, 92, 40, 88)(37, 85, 47, 95, 41, 89, 46, 94)(38, 86, 48, 96, 39, 87, 45, 93)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 124, 172, 107, 155)(100, 148, 111, 159, 133, 181, 115, 163)(101, 149, 116, 164, 131, 179, 109, 157)(103, 151, 112, 160, 134, 182, 118, 166)(104, 152, 120, 168, 138, 186, 122, 170)(106, 154, 125, 173, 141, 189, 128, 176)(108, 156, 126, 174, 142, 190, 129, 177)(113, 161, 127, 175, 143, 191, 132, 180)(114, 162, 135, 183, 140, 188, 123, 171)(117, 165, 136, 184, 144, 192, 130, 178)(119, 167, 121, 169, 139, 187, 137, 185)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 117)(6, 115)(7, 97)(8, 121)(9, 125)(10, 127)(11, 128)(12, 98)(13, 130)(14, 133)(15, 135)(16, 99)(17, 101)(18, 120)(19, 123)(20, 136)(21, 126)(22, 102)(23, 103)(24, 139)(25, 112)(26, 119)(27, 104)(28, 141)(29, 143)(30, 105)(31, 116)(32, 113)(33, 107)(34, 108)(35, 144)(36, 109)(37, 140)(38, 110)(39, 138)(40, 142)(41, 118)(42, 137)(43, 134)(44, 122)(45, 132)(46, 124)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1016
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2^4, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 16, 64, 11, 59)(5, 53, 14, 62, 17, 65, 15, 63)(7, 55, 18, 66, 12, 60, 20, 68)(8, 56, 21, 69, 13, 61, 22, 70)(10, 58, 19, 67, 28, 76, 25, 73)(23, 71, 33, 81, 26, 74, 34, 82)(24, 72, 35, 83, 27, 75, 36, 84)(29, 77, 37, 85, 31, 79, 38, 86)(30, 78, 39, 87, 32, 80, 40, 88)(41, 89, 48, 96, 43, 91, 46, 94)(42, 90, 47, 95, 44, 92, 45, 93)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 103, 151, 115, 163, 104, 152)(100, 148, 108, 156, 121, 169, 109, 157)(102, 150, 112, 160, 124, 172, 113, 161)(105, 153, 119, 167, 110, 158, 120, 168)(107, 155, 122, 170, 111, 159, 123, 171)(114, 162, 125, 173, 117, 165, 126, 174)(116, 164, 127, 175, 118, 166, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 115)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 124)(20, 103)(21, 109)(22, 104)(23, 129)(24, 131)(25, 106)(26, 130)(27, 132)(28, 121)(29, 133)(30, 135)(31, 134)(32, 136)(33, 122)(34, 119)(35, 123)(36, 120)(37, 127)(38, 125)(39, 128)(40, 126)(41, 144)(42, 143)(43, 142)(44, 141)(45, 138)(46, 137)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1019
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y1^-2 * Y3^-1 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y1^6, Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-2 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 17, 65, 5, 53)(3, 51, 11, 59, 29, 77, 39, 87, 21, 69, 8, 56)(4, 52, 14, 62, 35, 83, 32, 80, 22, 70, 9, 57)(6, 54, 18, 66, 40, 88, 34, 82, 23, 71, 10, 58)(12, 60, 24, 72, 36, 84, 15, 63, 26, 74, 30, 78)(13, 61, 25, 73, 41, 89, 19, 67, 28, 76, 31, 79)(16, 64, 27, 75, 42, 90, 46, 94, 47, 95, 37, 85)(33, 81, 45, 93, 44, 92, 38, 86, 48, 96, 43, 91)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 115, 163)(103, 151, 117, 165)(105, 153, 122, 170)(106, 154, 124, 172)(108, 156, 128, 176)(109, 157, 130, 178)(110, 158, 132, 180)(112, 160, 129, 177)(113, 161, 125, 173)(114, 162, 137, 185)(116, 164, 135, 183)(118, 166, 126, 174)(119, 167, 127, 175)(120, 168, 131, 179)(121, 169, 136, 184)(123, 171, 139, 187)(133, 181, 141, 189)(134, 182, 142, 190)(138, 186, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 110)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 129)(13, 99)(14, 133)(15, 134)(16, 102)(17, 131)(18, 101)(19, 135)(20, 128)(21, 132)(22, 138)(23, 103)(24, 139)(25, 104)(26, 140)(27, 106)(28, 125)(29, 122)(30, 141)(31, 107)(32, 142)(33, 109)(34, 116)(35, 143)(36, 144)(37, 114)(38, 115)(39, 111)(40, 113)(41, 117)(42, 119)(43, 121)(44, 124)(45, 127)(46, 130)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1014
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y3^-2 * Y1^-2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 17, 65, 5, 53)(3, 51, 11, 59, 25, 73, 29, 77, 20, 68, 8, 56)(4, 52, 14, 62, 10, 58, 6, 54, 18, 66, 9, 57)(12, 60, 21, 69, 27, 75, 13, 61, 22, 70, 26, 74)(15, 63, 23, 71, 34, 82, 19, 67, 24, 72, 31, 79)(28, 76, 39, 87, 36, 84, 30, 78, 40, 88, 35, 83)(32, 80, 43, 91, 38, 86, 33, 81, 44, 92, 37, 85)(41, 89, 45, 93, 48, 96, 42, 90, 46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 115, 163)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 120, 168)(108, 156, 124, 172)(109, 157, 126, 174)(110, 158, 127, 175)(112, 160, 125, 173)(113, 161, 121, 169)(114, 162, 130, 178)(117, 165, 131, 179)(118, 166, 132, 180)(122, 170, 135, 183)(123, 171, 136, 184)(128, 176, 137, 185)(129, 177, 138, 186)(133, 181, 141, 189)(134, 182, 142, 190)(139, 187, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 110)(6, 97)(7, 114)(8, 117)(9, 113)(10, 98)(11, 122)(12, 125)(13, 99)(14, 103)(15, 128)(16, 102)(17, 106)(18, 101)(19, 129)(20, 123)(21, 121)(22, 104)(23, 133)(24, 134)(25, 118)(26, 116)(27, 107)(28, 137)(29, 109)(30, 138)(31, 139)(32, 115)(33, 111)(34, 140)(35, 141)(36, 142)(37, 120)(38, 119)(39, 143)(40, 144)(41, 126)(42, 124)(43, 130)(44, 127)(45, 132)(46, 131)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1013
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2 * Y3^-1, Y1 * Y3^-1 * Y1^-2 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 17, 65, 5, 53)(3, 51, 11, 59, 29, 77, 38, 86, 21, 69, 8, 56)(4, 52, 14, 62, 35, 83, 34, 82, 22, 70, 9, 57)(6, 54, 18, 66, 40, 88, 32, 80, 23, 71, 10, 58)(12, 60, 24, 72, 41, 89, 19, 67, 28, 76, 30, 78)(13, 61, 25, 73, 36, 84, 15, 63, 26, 74, 31, 79)(16, 64, 27, 75, 42, 90, 46, 94, 47, 95, 37, 85)(33, 81, 45, 93, 44, 92, 39, 87, 48, 96, 43, 91)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 115, 163)(103, 151, 117, 165)(105, 153, 122, 170)(106, 154, 124, 172)(108, 156, 128, 176)(109, 157, 130, 178)(110, 158, 132, 180)(112, 160, 129, 177)(113, 161, 125, 173)(114, 162, 137, 185)(116, 164, 134, 182)(118, 166, 127, 175)(119, 167, 126, 174)(120, 168, 136, 184)(121, 169, 131, 179)(123, 171, 139, 187)(133, 181, 141, 189)(135, 183, 142, 190)(138, 186, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 110)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 129)(13, 99)(14, 133)(15, 134)(16, 102)(17, 131)(18, 101)(19, 135)(20, 130)(21, 137)(22, 138)(23, 103)(24, 139)(25, 104)(26, 125)(27, 106)(28, 140)(29, 124)(30, 141)(31, 107)(32, 116)(33, 109)(34, 142)(35, 143)(36, 117)(37, 114)(38, 115)(39, 111)(40, 113)(41, 144)(42, 119)(43, 121)(44, 122)(45, 127)(46, 128)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1012
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, (Y3 * R)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, Y1^-2 * Y3^-1 * Y1^-2 * Y3, Y1^6, (Y3^-1 * Y1)^4, (Y1^-1 * Y3 * Y1^-1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 15, 63, 5, 53)(3, 51, 8, 56, 20, 68, 36, 84, 27, 75, 11, 59)(4, 52, 12, 60, 28, 76, 39, 87, 21, 69, 13, 61)(6, 54, 17, 65, 34, 82, 40, 88, 22, 70, 18, 66)(9, 57, 23, 71, 14, 62, 33, 81, 37, 85, 24, 72)(10, 58, 25, 73, 16, 64, 35, 83, 38, 86, 26, 74)(29, 77, 41, 89, 31, 79, 43, 91, 47, 95, 45, 93)(30, 78, 42, 90, 32, 80, 44, 92, 48, 96, 46, 94)(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, 132, 180)(117, 165, 118, 166)(119, 167, 121, 169)(120, 168, 122, 170)(124, 172, 130, 178)(125, 173, 126, 174)(127, 175, 128, 176)(129, 177, 131, 179)(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, 130)(28, 123)(29, 113)(30, 108)(31, 114)(32, 109)(33, 141)(34, 111)(35, 142)(36, 134)(37, 132)(38, 115)(39, 143)(40, 144)(41, 121)(42, 119)(43, 122)(44, 120)(45, 131)(46, 129)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1015
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, R * Y2 * R * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y2^-1 * Y3)^2, Y2^6, (Y1^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 10, 58, 20, 68, 13, 61)(4, 52, 14, 62, 21, 69, 16, 64)(6, 54, 8, 56, 22, 70, 17, 65)(9, 57, 25, 73, 18, 66, 27, 75)(11, 59, 28, 76, 42, 90, 31, 79)(12, 60, 32, 80, 43, 91, 33, 81)(15, 63, 36, 84, 44, 92, 38, 86)(19, 67, 23, 71, 45, 93, 40, 88)(24, 72, 46, 94, 41, 89, 30, 78)(26, 74, 48, 96, 34, 82, 37, 85)(29, 77, 35, 83, 47, 95, 39, 87)(97, 145, 99, 147, 107, 155, 125, 173, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 131, 179, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 123, 171, 126, 174, 108, 156)(101, 149, 113, 161, 136, 184, 135, 183, 127, 175, 109, 157)(103, 151, 116, 164, 138, 186, 143, 191, 141, 189, 118, 166)(105, 153, 122, 170, 132, 180, 110, 158, 128, 176, 120, 168)(112, 160, 129, 177, 137, 185, 114, 162, 130, 178, 134, 182)(117, 165, 140, 188, 144, 192, 121, 169, 142, 190, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 114)(6, 111)(7, 117)(8, 120)(9, 98)(10, 122)(11, 126)(12, 99)(13, 130)(14, 131)(15, 102)(16, 135)(17, 137)(18, 101)(19, 133)(20, 139)(21, 103)(22, 140)(23, 128)(24, 104)(25, 143)(26, 106)(27, 125)(28, 132)(29, 123)(30, 107)(31, 134)(32, 119)(33, 136)(34, 109)(35, 110)(36, 124)(37, 115)(38, 127)(39, 112)(40, 129)(41, 113)(42, 142)(43, 116)(44, 118)(45, 144)(46, 138)(47, 121)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.996
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y2, (Y2^-1 * Y3)^2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, Y2^6, Y1^-1 * Y2^-2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-2, Y2^-2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 10, 58, 20, 68, 13, 61)(4, 52, 14, 62, 21, 69, 16, 64)(6, 54, 8, 56, 22, 70, 17, 65)(9, 57, 25, 73, 18, 66, 27, 75)(11, 59, 28, 76, 42, 90, 31, 79)(12, 60, 32, 80, 43, 91, 33, 81)(15, 63, 36, 84, 44, 92, 38, 86)(19, 67, 23, 71, 45, 93, 40, 88)(24, 72, 30, 78, 41, 89, 46, 94)(26, 74, 37, 85, 34, 82, 47, 95)(29, 77, 39, 87, 48, 96, 35, 83)(97, 145, 99, 147, 107, 155, 125, 173, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 135, 183, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 121, 169, 126, 174, 108, 156)(101, 149, 113, 161, 136, 184, 131, 179, 127, 175, 109, 157)(103, 151, 116, 164, 138, 186, 144, 192, 141, 189, 118, 166)(105, 153, 122, 170, 134, 182, 112, 160, 129, 177, 120, 168)(110, 158, 128, 176, 137, 185, 114, 162, 130, 178, 132, 180)(117, 165, 140, 188, 143, 191, 123, 171, 142, 190, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 114)(6, 111)(7, 117)(8, 120)(9, 98)(10, 122)(11, 126)(12, 99)(13, 130)(14, 131)(15, 102)(16, 135)(17, 137)(18, 101)(19, 133)(20, 139)(21, 103)(22, 140)(23, 129)(24, 104)(25, 125)(26, 106)(27, 144)(28, 134)(29, 121)(30, 107)(31, 132)(32, 136)(33, 119)(34, 109)(35, 110)(36, 127)(37, 115)(38, 124)(39, 112)(40, 128)(41, 113)(42, 142)(43, 116)(44, 118)(45, 143)(46, 138)(47, 141)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.997
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y1^-2 * Y2^3, (Y3 * Y1^-2)^2, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 10, 58, 19, 67, 13, 61)(4, 52, 14, 62, 20, 68, 16, 64)(6, 54, 8, 56, 11, 59, 17, 65)(9, 57, 22, 70, 18, 66, 24, 72)(12, 60, 26, 74, 31, 79, 27, 75)(15, 63, 30, 78, 25, 73, 32, 80)(21, 69, 35, 83, 34, 82, 36, 84)(23, 71, 38, 86, 28, 76, 39, 87)(29, 77, 37, 85, 33, 81, 40, 88)(41, 89, 47, 95, 42, 90, 48, 96)(43, 91, 45, 93, 44, 92, 46, 94)(97, 145, 99, 147, 107, 155, 103, 151, 115, 163, 102, 150)(98, 146, 104, 152, 109, 157, 101, 149, 113, 161, 106, 154)(100, 148, 111, 159, 127, 175, 116, 164, 121, 169, 108, 156)(105, 153, 119, 167, 130, 178, 114, 162, 124, 172, 117, 165)(110, 158, 122, 170, 128, 176, 112, 160, 123, 171, 126, 174)(118, 166, 131, 179, 135, 183, 120, 168, 132, 180, 134, 182)(125, 173, 139, 187, 138, 186, 129, 177, 140, 188, 137, 185)(133, 181, 143, 191, 142, 190, 136, 184, 144, 192, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 114)(6, 111)(7, 116)(8, 117)(9, 98)(10, 119)(11, 121)(12, 99)(13, 124)(14, 125)(15, 102)(16, 129)(17, 130)(18, 101)(19, 127)(20, 103)(21, 104)(22, 133)(23, 106)(24, 136)(25, 107)(26, 137)(27, 138)(28, 109)(29, 110)(30, 139)(31, 115)(32, 140)(33, 112)(34, 113)(35, 141)(36, 142)(37, 118)(38, 143)(39, 144)(40, 120)(41, 122)(42, 123)(43, 126)(44, 128)(45, 131)(46, 132)(47, 134)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.998
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (Y1, Y2^-1), (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3 * Y1^-2)^2, Y2^6, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y3, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 20, 68, 13, 61)(4, 52, 14, 62, 21, 69, 16, 64)(6, 54, 10, 58, 22, 70, 18, 66)(9, 57, 25, 73, 17, 65, 27, 75)(11, 59, 23, 71, 42, 90, 31, 79)(12, 60, 32, 80, 43, 91, 33, 81)(15, 63, 35, 83, 44, 92, 38, 86)(19, 67, 28, 76, 45, 93, 41, 89)(24, 72, 46, 94, 34, 82, 37, 85)(26, 74, 47, 95, 40, 88, 30, 78)(29, 77, 36, 84, 48, 96, 39, 87)(97, 145, 99, 147, 107, 155, 125, 173, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 132, 180, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 123, 171, 126, 174, 108, 156)(101, 149, 109, 157, 127, 175, 135, 183, 137, 185, 114, 162)(103, 151, 116, 164, 138, 186, 144, 192, 141, 189, 118, 166)(105, 153, 122, 170, 128, 176, 110, 158, 131, 179, 120, 168)(112, 160, 134, 182, 130, 178, 113, 161, 136, 184, 129, 177)(117, 165, 140, 188, 142, 190, 121, 169, 143, 191, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 113)(6, 111)(7, 117)(8, 120)(9, 98)(10, 122)(11, 126)(12, 99)(13, 130)(14, 132)(15, 102)(16, 135)(17, 101)(18, 136)(19, 133)(20, 139)(21, 103)(22, 140)(23, 131)(24, 104)(25, 144)(26, 106)(27, 125)(28, 128)(29, 123)(30, 107)(31, 134)(32, 124)(33, 137)(34, 109)(35, 119)(36, 110)(37, 115)(38, 127)(39, 112)(40, 114)(41, 129)(42, 143)(43, 116)(44, 118)(45, 142)(46, 141)(47, 138)(48, 121)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.999
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^4, (Y2^-1 * Y3)^2, Y2^6, (Y1^-1 * Y3 * Y1^-1)^2, Y2^2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 20, 68, 13, 61)(4, 52, 14, 62, 21, 69, 16, 64)(6, 54, 10, 58, 22, 70, 18, 66)(9, 57, 25, 73, 17, 65, 27, 75)(11, 59, 23, 71, 42, 90, 31, 79)(12, 60, 32, 80, 43, 91, 33, 81)(15, 63, 35, 83, 44, 92, 38, 86)(19, 67, 28, 76, 45, 93, 41, 89)(24, 72, 37, 85, 34, 82, 46, 94)(26, 74, 30, 78, 40, 88, 47, 95)(29, 77, 39, 87, 48, 96, 36, 84)(97, 145, 99, 147, 107, 155, 125, 173, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 135, 183, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 121, 169, 126, 174, 108, 156)(101, 149, 109, 157, 127, 175, 132, 180, 137, 185, 114, 162)(103, 151, 116, 164, 138, 186, 144, 192, 141, 189, 118, 166)(105, 153, 122, 170, 129, 177, 112, 160, 134, 182, 120, 168)(110, 158, 131, 179, 130, 178, 113, 161, 136, 184, 128, 176)(117, 165, 140, 188, 142, 190, 123, 171, 143, 191, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 113)(6, 111)(7, 117)(8, 120)(9, 98)(10, 122)(11, 126)(12, 99)(13, 130)(14, 132)(15, 102)(16, 135)(17, 101)(18, 136)(19, 133)(20, 139)(21, 103)(22, 140)(23, 134)(24, 104)(25, 125)(26, 106)(27, 144)(28, 129)(29, 121)(30, 107)(31, 131)(32, 137)(33, 124)(34, 109)(35, 127)(36, 110)(37, 115)(38, 119)(39, 112)(40, 114)(41, 128)(42, 143)(43, 116)(44, 118)(45, 142)(46, 141)(47, 138)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1000
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2), Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y1^-2 * Y3^-2 * Y2^-1, Y3 * Y1^-2 * Y3 * Y2, (Y3^-1 * Y1^-1)^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 22, 70, 15, 63)(4, 52, 17, 65, 23, 71, 18, 66)(6, 54, 9, 57, 13, 61, 19, 67)(7, 55, 24, 72, 14, 62, 25, 73)(10, 58, 27, 75, 20, 68, 28, 76)(12, 60, 29, 77, 21, 69, 30, 78)(16, 64, 33, 81, 31, 79, 34, 82)(26, 74, 41, 89, 32, 80, 42, 90)(35, 83, 43, 91, 37, 85, 45, 93)(36, 84, 47, 95, 38, 86, 48, 96)(39, 87, 44, 92, 40, 88, 46, 94)(97, 145, 99, 147, 109, 157, 104, 152, 118, 166, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 115, 163, 107, 155)(100, 148, 110, 158, 127, 175, 119, 167, 103, 151, 112, 160)(106, 154, 117, 165, 128, 176, 116, 164, 108, 156, 122, 170)(113, 161, 129, 177, 120, 168, 114, 162, 130, 178, 121, 169)(123, 171, 137, 185, 125, 173, 124, 172, 138, 186, 126, 174)(131, 179, 134, 182, 135, 183, 133, 181, 132, 180, 136, 184)(139, 187, 142, 190, 143, 191, 141, 189, 140, 188, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 119)(9, 117)(10, 111)(11, 122)(12, 98)(13, 127)(14, 104)(15, 128)(16, 99)(17, 131)(18, 133)(19, 108)(20, 107)(21, 101)(22, 103)(23, 102)(24, 135)(25, 136)(26, 105)(27, 139)(28, 141)(29, 143)(30, 144)(31, 118)(32, 115)(33, 134)(34, 132)(35, 120)(36, 113)(37, 121)(38, 114)(39, 130)(40, 129)(41, 142)(42, 140)(43, 125)(44, 123)(45, 126)(46, 124)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1011
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (Y3^-1 * Y2)^2, (R * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-2 * Y1^-1 * Y3^-1, Y3^-1 * Y2^-4 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 26, 74, 15, 63)(4, 52, 17, 65, 27, 75, 18, 66)(6, 54, 9, 57, 28, 76, 19, 67)(7, 55, 24, 72, 29, 77, 25, 73)(10, 58, 14, 62, 20, 68, 32, 80)(12, 60, 23, 71, 21, 69, 34, 82)(13, 61, 33, 81, 44, 92, 37, 85)(16, 64, 39, 87, 45, 93, 40, 88)(22, 70, 30, 78, 46, 94, 43, 91)(31, 79, 36, 84, 38, 86, 47, 95)(35, 83, 42, 90, 48, 96, 41, 89)(97, 145, 99, 147, 109, 157, 131, 179, 118, 166, 102, 150)(98, 146, 105, 153, 126, 174, 138, 186, 129, 177, 107, 155)(100, 148, 110, 158, 132, 180, 119, 167, 103, 151, 112, 160)(101, 149, 115, 163, 139, 187, 137, 185, 133, 181, 111, 159)(104, 152, 122, 170, 140, 188, 144, 192, 142, 190, 124, 172)(106, 154, 114, 162, 136, 184, 121, 169, 108, 156, 127, 175)(113, 161, 135, 183, 120, 168, 117, 165, 134, 182, 116, 164)(123, 171, 128, 176, 143, 191, 130, 178, 125, 173, 141, 189)
	L = (1, 100)(2, 106)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 123)(9, 114)(10, 126)(11, 127)(12, 98)(13, 132)(14, 131)(15, 134)(16, 99)(17, 137)(18, 138)(19, 113)(20, 139)(21, 101)(22, 103)(23, 102)(24, 111)(25, 107)(26, 128)(27, 140)(28, 141)(29, 104)(30, 136)(31, 105)(32, 144)(33, 108)(34, 124)(35, 119)(36, 118)(37, 117)(38, 115)(39, 133)(40, 129)(41, 120)(42, 121)(43, 135)(44, 143)(45, 122)(46, 125)(47, 142)(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) :: { ( 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 E21.1010
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y1^4, Y2^-3 * Y1^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 19, 67, 13, 61)(4, 52, 14, 62, 20, 68, 16, 64)(6, 54, 10, 58, 11, 59, 18, 66)(9, 57, 22, 70, 17, 65, 24, 72)(12, 60, 26, 74, 31, 79, 27, 75)(15, 63, 29, 77, 25, 73, 32, 80)(21, 69, 35, 83, 28, 76, 36, 84)(23, 71, 37, 85, 34, 82, 39, 87)(30, 78, 38, 86, 33, 81, 40, 88)(41, 89, 45, 93, 42, 90, 46, 94)(43, 91, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 107, 155, 103, 151, 115, 163, 102, 150)(98, 146, 104, 152, 114, 162, 101, 149, 109, 157, 106, 154)(100, 148, 111, 159, 127, 175, 116, 164, 121, 169, 108, 156)(105, 153, 119, 167, 124, 172, 113, 161, 130, 178, 117, 165)(110, 158, 125, 173, 123, 171, 112, 160, 128, 176, 122, 170)(118, 166, 133, 181, 132, 180, 120, 168, 135, 183, 131, 179)(126, 174, 137, 185, 140, 188, 129, 177, 138, 186, 139, 187)(134, 182, 141, 189, 144, 192, 136, 184, 142, 190, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 113)(6, 111)(7, 116)(8, 117)(9, 98)(10, 119)(11, 121)(12, 99)(13, 124)(14, 126)(15, 102)(16, 129)(17, 101)(18, 130)(19, 127)(20, 103)(21, 104)(22, 134)(23, 106)(24, 136)(25, 107)(26, 137)(27, 138)(28, 109)(29, 139)(30, 110)(31, 115)(32, 140)(33, 112)(34, 114)(35, 141)(36, 142)(37, 143)(38, 118)(39, 144)(40, 120)(41, 122)(42, 123)(43, 125)(44, 128)(45, 131)(46, 132)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1001
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (Y3, Y2^-1), (R * Y2^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y2^-2 * Y1 * Y3^-1, Y3^6, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 26, 74, 15, 63)(4, 52, 17, 65, 27, 75, 18, 66)(6, 54, 9, 57, 28, 76, 19, 67)(7, 55, 24, 72, 29, 77, 25, 73)(10, 58, 32, 80, 20, 68, 14, 62)(12, 60, 34, 82, 21, 69, 23, 71)(13, 61, 33, 81, 44, 92, 37, 85)(16, 64, 39, 87, 45, 93, 40, 88)(22, 70, 30, 78, 46, 94, 43, 91)(31, 79, 47, 95, 38, 86, 36, 84)(35, 83, 41, 89, 48, 96, 42, 90)(97, 145, 99, 147, 109, 157, 131, 179, 118, 166, 102, 150)(98, 146, 105, 153, 126, 174, 137, 185, 129, 177, 107, 155)(100, 148, 110, 158, 132, 180, 119, 167, 103, 151, 112, 160)(101, 149, 115, 163, 139, 187, 138, 186, 133, 181, 111, 159)(104, 152, 122, 170, 140, 188, 144, 192, 142, 190, 124, 172)(106, 154, 113, 161, 135, 183, 120, 168, 108, 156, 127, 175)(114, 162, 136, 184, 121, 169, 117, 165, 134, 182, 116, 164)(123, 171, 128, 176, 143, 191, 130, 178, 125, 173, 141, 189)
	L = (1, 100)(2, 106)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 123)(9, 113)(10, 126)(11, 127)(12, 98)(13, 132)(14, 131)(15, 134)(16, 99)(17, 137)(18, 138)(19, 114)(20, 139)(21, 101)(22, 103)(23, 102)(24, 107)(25, 111)(26, 128)(27, 140)(28, 141)(29, 104)(30, 135)(31, 105)(32, 144)(33, 108)(34, 124)(35, 119)(36, 118)(37, 117)(38, 115)(39, 129)(40, 133)(41, 120)(42, 121)(43, 136)(44, 143)(45, 122)(46, 125)(47, 142)(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) :: { ( 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 E21.1009
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 22, 70, 14, 62)(4, 52, 12, 60, 23, 71, 16, 64)(6, 54, 20, 68, 24, 72, 21, 69)(7, 55, 10, 58, 25, 73, 18, 66)(9, 57, 26, 74, 17, 65, 27, 75)(11, 59, 29, 77, 19, 67, 30, 78)(15, 63, 32, 80, 40, 88, 35, 83)(28, 76, 42, 90, 37, 85, 45, 93)(31, 79, 41, 89, 34, 82, 44, 92)(33, 81, 47, 95, 36, 84, 48, 96)(38, 86, 43, 91, 39, 87, 46, 94)(97, 145, 99, 147, 103, 151, 111, 159, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 124, 172, 106, 154, 107, 155)(101, 149, 113, 161, 112, 160, 133, 181, 114, 162, 115, 163)(104, 152, 118, 166, 121, 169, 136, 184, 119, 167, 120, 168)(109, 157, 127, 175, 116, 164, 134, 182, 128, 176, 129, 177)(110, 158, 130, 178, 117, 165, 135, 183, 131, 179, 132, 180)(122, 170, 137, 185, 125, 173, 143, 191, 138, 186, 139, 187)(123, 171, 140, 188, 126, 174, 144, 192, 141, 189, 142, 190)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 114)(6, 111)(7, 97)(8, 119)(9, 107)(10, 108)(11, 124)(12, 98)(13, 128)(14, 131)(15, 99)(16, 101)(17, 115)(18, 112)(19, 133)(20, 109)(21, 110)(22, 120)(23, 121)(24, 136)(25, 104)(26, 138)(27, 141)(28, 105)(29, 122)(30, 123)(31, 129)(32, 116)(33, 134)(34, 132)(35, 117)(36, 135)(37, 113)(38, 127)(39, 130)(40, 118)(41, 139)(42, 125)(43, 143)(44, 142)(45, 126)(46, 144)(47, 137)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1002
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^4, Y1^-2 * Y3 * Y2^2, Y2^6, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 16, 64)(4, 52, 12, 60, 24, 72, 18, 66)(6, 54, 22, 70, 15, 63, 23, 71)(7, 55, 10, 58, 14, 62, 20, 68)(9, 57, 26, 74, 19, 67, 27, 75)(11, 59, 29, 77, 21, 69, 30, 78)(17, 65, 32, 80, 34, 82, 36, 84)(28, 76, 42, 90, 38, 86, 45, 93)(31, 79, 41, 89, 35, 83, 44, 92)(33, 81, 47, 95, 37, 85, 48, 96)(39, 87, 43, 91, 40, 88, 46, 94)(97, 145, 99, 147, 110, 158, 130, 178, 120, 168, 102, 150)(98, 146, 105, 153, 114, 162, 134, 182, 116, 164, 107, 155)(100, 148, 111, 159, 104, 152, 121, 169, 103, 151, 113, 161)(101, 149, 115, 163, 108, 156, 124, 172, 106, 154, 117, 165)(109, 157, 127, 175, 118, 166, 135, 183, 132, 180, 129, 177)(112, 160, 131, 179, 119, 167, 136, 184, 128, 176, 133, 181)(122, 170, 137, 185, 125, 173, 143, 191, 141, 189, 139, 187)(123, 171, 140, 188, 126, 174, 144, 192, 138, 186, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 116)(6, 113)(7, 97)(8, 120)(9, 117)(10, 114)(11, 124)(12, 98)(13, 128)(14, 104)(15, 130)(16, 132)(17, 99)(18, 101)(19, 107)(20, 108)(21, 134)(22, 112)(23, 109)(24, 103)(25, 102)(26, 138)(27, 141)(28, 105)(29, 123)(30, 122)(31, 133)(32, 118)(33, 136)(34, 121)(35, 129)(36, 119)(37, 135)(38, 115)(39, 131)(40, 127)(41, 142)(42, 125)(43, 144)(44, 139)(45, 126)(46, 143)(47, 140)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1003
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3^-2, Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64)(4, 52, 12, 60, 27, 75, 18, 66)(6, 54, 22, 70, 28, 76, 23, 71)(7, 55, 10, 58, 29, 77, 20, 68)(9, 57, 15, 63, 19, 67, 31, 79)(11, 59, 25, 73, 21, 69, 33, 81)(14, 62, 34, 82, 44, 92, 39, 87)(17, 65, 36, 84, 45, 93, 41, 89)(24, 72, 30, 78, 46, 94, 43, 91)(32, 80, 37, 85, 42, 90, 48, 96)(35, 83, 38, 86, 40, 88, 47, 95)(97, 145, 99, 147, 110, 158, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 126, 174, 137, 185, 130, 178, 107, 155)(100, 148, 111, 159, 134, 182, 121, 169, 103, 151, 113, 161)(101, 149, 115, 163, 139, 187, 132, 180, 135, 183, 117, 165)(104, 152, 122, 170, 140, 188, 144, 192, 142, 190, 124, 172)(106, 154, 112, 160, 136, 184, 119, 167, 108, 156, 128, 176)(109, 157, 131, 179, 118, 166, 114, 162, 138, 186, 116, 164)(123, 171, 127, 175, 143, 191, 129, 177, 125, 173, 141, 189)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 116)(6, 113)(7, 97)(8, 123)(9, 112)(10, 126)(11, 128)(12, 98)(13, 132)(14, 134)(15, 133)(16, 137)(17, 99)(18, 101)(19, 109)(20, 139)(21, 138)(22, 117)(23, 107)(24, 103)(25, 102)(26, 127)(27, 140)(28, 141)(29, 104)(30, 136)(31, 144)(32, 105)(33, 124)(34, 108)(35, 135)(36, 118)(37, 121)(38, 120)(39, 114)(40, 130)(41, 119)(42, 115)(43, 131)(44, 143)(45, 122)(46, 125)(47, 142)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1005
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y2^2 * Y3^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^4, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64)(4, 52, 12, 60, 27, 75, 18, 66)(6, 54, 22, 70, 28, 76, 23, 71)(7, 55, 10, 58, 29, 77, 20, 68)(9, 57, 30, 78, 19, 67, 15, 63)(11, 59, 33, 81, 21, 69, 25, 73)(14, 62, 34, 82, 44, 92, 39, 87)(17, 65, 36, 84, 45, 93, 41, 89)(24, 72, 31, 79, 46, 94, 43, 91)(32, 80, 48, 96, 42, 90, 37, 85)(35, 83, 47, 95, 40, 88, 38, 86)(97, 145, 99, 147, 110, 158, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 127, 175, 132, 180, 130, 178, 107, 155)(100, 148, 111, 159, 134, 182, 121, 169, 103, 151, 113, 161)(101, 149, 115, 163, 139, 187, 137, 185, 135, 183, 117, 165)(104, 152, 122, 170, 140, 188, 144, 192, 142, 190, 124, 172)(106, 154, 109, 157, 131, 179, 118, 166, 108, 156, 128, 176)(112, 160, 136, 184, 119, 167, 114, 162, 138, 186, 116, 164)(123, 171, 126, 174, 143, 191, 129, 177, 125, 173, 141, 189)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 116)(6, 113)(7, 97)(8, 123)(9, 109)(10, 127)(11, 128)(12, 98)(13, 132)(14, 134)(15, 133)(16, 137)(17, 99)(18, 101)(19, 112)(20, 139)(21, 138)(22, 107)(23, 117)(24, 103)(25, 102)(26, 126)(27, 140)(28, 141)(29, 104)(30, 144)(31, 131)(32, 105)(33, 124)(34, 108)(35, 130)(36, 118)(37, 121)(38, 120)(39, 114)(40, 135)(41, 119)(42, 115)(43, 136)(44, 143)(45, 122)(46, 125)(47, 142)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1004
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (Y3, Y2^-1), Y3 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y1^4, Y2 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y3^6, Y3^-1 * Y2 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 12, 60, 22, 70, 15, 63)(4, 52, 11, 59, 23, 71, 17, 65)(6, 54, 10, 58, 24, 72, 19, 67)(7, 55, 9, 57, 25, 73, 18, 66)(13, 61, 29, 77, 38, 86, 33, 81)(14, 62, 30, 78, 39, 87, 34, 82)(16, 64, 28, 76, 40, 88, 35, 83)(20, 68, 26, 74, 41, 89, 36, 84)(21, 69, 27, 75, 42, 90, 37, 85)(31, 79, 44, 92, 47, 95, 45, 93)(32, 80, 43, 91, 48, 96, 46, 94)(97, 145, 99, 147, 109, 157, 127, 175, 116, 164, 102, 150)(98, 146, 105, 153, 122, 170, 139, 187, 125, 173, 107, 155)(100, 148, 110, 158, 128, 176, 117, 165, 103, 151, 112, 160)(101, 149, 114, 162, 132, 180, 142, 190, 129, 177, 113, 161)(104, 152, 118, 166, 134, 182, 143, 191, 137, 185, 120, 168)(106, 154, 123, 171, 140, 188, 126, 174, 108, 156, 124, 172)(111, 159, 131, 179, 115, 163, 133, 181, 141, 189, 130, 178)(119, 167, 135, 183, 144, 192, 138, 186, 121, 169, 136, 184)
	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, 128)(14, 127)(15, 101)(16, 99)(17, 131)(18, 133)(19, 132)(20, 103)(21, 102)(22, 135)(23, 134)(24, 136)(25, 104)(26, 140)(27, 139)(28, 105)(29, 108)(30, 107)(31, 117)(32, 116)(33, 111)(34, 113)(35, 114)(36, 141)(37, 142)(38, 144)(39, 143)(40, 118)(41, 121)(42, 120)(43, 126)(44, 125)(45, 129)(46, 130)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1007
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1034 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (Y3, Y2^-1), Y2^-1 * Y3 * Y1^2, Y2^-1 * Y3 * Y1^-2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3^6, Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 4, 52, 16, 64)(6, 54, 17, 65, 7, 55, 18, 66)(9, 57, 21, 69, 10, 58, 24, 72)(11, 59, 25, 73, 12, 60, 26, 74)(14, 62, 27, 75, 15, 63, 28, 76)(19, 67, 22, 70, 20, 68, 23, 71)(29, 77, 37, 85, 30, 78, 38, 86)(31, 79, 43, 91, 32, 80, 44, 92)(33, 81, 45, 93, 34, 82, 46, 94)(35, 83, 39, 87, 36, 84, 40, 88)(41, 89, 47, 95, 42, 90, 48, 96)(97, 145, 99, 147, 110, 158, 129, 177, 115, 163, 102, 150)(98, 146, 105, 153, 118, 166, 137, 185, 123, 171, 107, 155)(100, 148, 111, 159, 130, 178, 116, 164, 103, 151, 104, 152)(101, 149, 106, 154, 119, 167, 138, 186, 124, 172, 108, 156)(109, 157, 125, 173, 113, 161, 131, 179, 141, 189, 127, 175)(112, 160, 126, 174, 114, 162, 132, 180, 142, 190, 128, 176)(117, 165, 133, 181, 121, 169, 139, 187, 143, 191, 135, 183)(120, 168, 134, 182, 122, 170, 140, 188, 144, 192, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 105)(6, 104)(7, 97)(8, 99)(9, 119)(10, 118)(11, 101)(12, 98)(13, 126)(14, 130)(15, 129)(16, 125)(17, 132)(18, 131)(19, 103)(20, 102)(21, 134)(22, 138)(23, 137)(24, 133)(25, 140)(26, 139)(27, 108)(28, 107)(29, 114)(30, 113)(31, 112)(32, 109)(33, 116)(34, 115)(35, 142)(36, 141)(37, 122)(38, 121)(39, 120)(40, 117)(41, 124)(42, 123)(43, 144)(44, 143)(45, 128)(46, 127)(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) :: { ( 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 E21.1008
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1035 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (Y3, Y2^-1), Y2^2 * Y3^-2, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-4 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 22, 70, 12, 60)(4, 52, 17, 65, 23, 71, 11, 59)(6, 54, 19, 67, 24, 72, 10, 58)(7, 55, 18, 66, 25, 73, 9, 57)(14, 62, 29, 77, 38, 86, 33, 81)(15, 63, 30, 78, 39, 87, 32, 80)(16, 64, 28, 76, 40, 88, 31, 79)(20, 68, 26, 74, 41, 89, 36, 84)(21, 69, 27, 75, 42, 90, 37, 85)(34, 82, 45, 93, 47, 95, 44, 92)(35, 83, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 110, 158, 130, 178, 116, 164, 102, 150)(98, 146, 105, 153, 122, 170, 139, 187, 125, 173, 107, 155)(100, 148, 111, 159, 131, 179, 117, 165, 103, 151, 112, 160)(101, 149, 114, 162, 132, 180, 142, 190, 129, 177, 113, 161)(104, 152, 118, 166, 134, 182, 143, 191, 137, 185, 120, 168)(106, 154, 123, 171, 140, 188, 126, 174, 108, 156, 124, 172)(109, 157, 127, 175, 115, 163, 133, 181, 141, 189, 128, 176)(119, 167, 135, 183, 144, 192, 138, 186, 121, 169, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 115)(6, 112)(7, 97)(8, 119)(9, 123)(10, 122)(11, 124)(12, 98)(13, 101)(14, 131)(15, 130)(16, 99)(17, 127)(18, 133)(19, 132)(20, 103)(21, 102)(22, 135)(23, 134)(24, 136)(25, 104)(26, 140)(27, 139)(28, 105)(29, 108)(30, 107)(31, 114)(32, 113)(33, 109)(34, 117)(35, 116)(36, 141)(37, 142)(38, 144)(39, 143)(40, 118)(41, 121)(42, 120)(43, 126)(44, 125)(45, 129)(46, 128)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1006
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1036 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1, Y1^2 * Y2^2, Y3^2 * Y2^-1 * Y1, Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y1^-1 * Y2 * Y1 * Y3^-2 * Y2^-1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 11, 59, 34, 82, 15, 63, 7, 55)(2, 50, 10, 58, 3, 51, 14, 62, 29, 77, 12, 60)(5, 53, 20, 68, 6, 54, 22, 70, 27, 75, 21, 69)(8, 56, 25, 73, 9, 57, 28, 76, 13, 61, 26, 74)(16, 64, 37, 85, 17, 65, 39, 87, 23, 71, 38, 86)(18, 66, 40, 88, 19, 67, 42, 90, 24, 72, 41, 89)(30, 78, 43, 91, 31, 79, 45, 93, 35, 83, 44, 92)(32, 80, 46, 94, 33, 81, 48, 96, 36, 84, 47, 95)(97, 98, 104, 101)(99, 109, 102, 111)(100, 112, 121, 114)(103, 113, 122, 115)(105, 123, 107, 125)(106, 126, 116, 128)(108, 127, 117, 129)(110, 131, 118, 132)(119, 124, 120, 130)(133, 142, 136, 139)(134, 144, 137, 141)(135, 143, 138, 140)(145, 147, 152, 150)(146, 153, 149, 155)(148, 161, 169, 163)(151, 167, 170, 168)(154, 175, 164, 177)(156, 179, 165, 180)(157, 171, 159, 173)(158, 174, 166, 176)(160, 172, 162, 178)(181, 192, 184, 189)(182, 191, 185, 188)(183, 190, 186, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1042
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1037 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y2^4, Y3^-2 * Y1 * Y2, Y1^-2 * Y2^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^2 * Y1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 9, 57, 28, 76, 13, 61, 7, 55)(2, 50, 10, 58, 6, 54, 22, 70, 27, 75, 12, 60)(3, 51, 14, 62, 29, 77, 21, 69, 5, 53, 16, 64)(8, 56, 25, 73, 11, 59, 34, 82, 15, 63, 26, 74)(17, 65, 37, 85, 20, 68, 42, 90, 24, 72, 38, 86)(18, 66, 39, 87, 23, 71, 41, 89, 19, 67, 40, 88)(30, 78, 43, 91, 33, 81, 48, 96, 36, 84, 44, 92)(31, 79, 45, 93, 35, 83, 47, 95, 32, 80, 46, 94)(97, 98, 104, 101)(99, 109, 102, 111)(100, 113, 121, 115)(103, 116, 122, 114)(105, 123, 107, 125)(106, 126, 112, 128)(108, 129, 117, 127)(110, 131, 118, 132)(119, 124, 120, 130)(133, 142, 136, 139)(134, 141, 137, 144)(135, 140, 138, 143)(145, 147, 152, 150)(146, 153, 149, 155)(148, 162, 169, 164)(151, 167, 170, 168)(154, 175, 160, 177)(156, 179, 165, 180)(157, 173, 159, 171)(158, 174, 166, 176)(161, 172, 163, 178)(181, 192, 184, 189)(182, 188, 185, 191)(183, 190, 186, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1043
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1038 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y1^-1, Y2^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 22, 70)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(21, 69, 37, 85)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 101)(99, 107, 102, 109)(100, 110, 116, 112)(104, 117, 106, 119)(105, 120, 114, 122)(108, 126, 115, 127)(111, 125, 113, 128)(118, 134, 124, 135)(121, 133, 123, 136)(129, 139, 131, 137)(130, 142, 132, 141)(138, 144, 140, 143)(145, 147, 151, 150)(146, 152, 149, 154)(148, 159, 164, 161)(153, 169, 162, 171)(155, 165, 157, 167)(156, 168, 163, 170)(158, 166, 160, 172)(173, 182, 176, 183)(174, 181, 175, 184)(177, 188, 179, 186)(178, 187, 180, 185)(189, 192, 190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.1040
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.1039 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 6})
Quotient :: edge^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y1^-1, Y2^4, R * Y1 * R * Y2, (Y1 * Y2)^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 22, 70)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(21, 69, 37, 85)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 101)(99, 107, 102, 109)(100, 110, 116, 112)(104, 117, 106, 119)(105, 120, 114, 122)(108, 126, 115, 127)(111, 125, 113, 128)(118, 134, 124, 135)(121, 133, 123, 136)(129, 139, 131, 137)(130, 142, 132, 141)(138, 144, 140, 143)(145, 147, 151, 150)(146, 152, 149, 154)(148, 159, 164, 161)(153, 169, 162, 171)(155, 167, 157, 165)(156, 168, 163, 170)(158, 166, 160, 172)(173, 183, 176, 182)(174, 184, 175, 181)(177, 188, 179, 186)(178, 187, 180, 185)(189, 191, 190, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.1041
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.1040 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1, Y1^2 * Y2^2, Y3^2 * Y2^-1 * Y1, Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y1^-1 * Y2 * Y1 * Y3^-2 * Y2^-1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 11, 59, 107, 155, 34, 82, 130, 178, 15, 63, 111, 159, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 3, 51, 99, 147, 14, 62, 110, 158, 29, 77, 125, 173, 12, 60, 108, 156)(5, 53, 101, 149, 20, 68, 116, 164, 6, 54, 102, 150, 22, 70, 118, 166, 27, 75, 123, 171, 21, 69, 117, 165)(8, 56, 104, 152, 25, 73, 121, 169, 9, 57, 105, 153, 28, 76, 124, 172, 13, 61, 109, 157, 26, 74, 122, 170)(16, 64, 112, 160, 37, 85, 133, 181, 17, 65, 113, 161, 39, 87, 135, 183, 23, 71, 119, 167, 38, 86, 134, 182)(18, 66, 114, 162, 40, 88, 136, 184, 19, 67, 115, 163, 42, 90, 138, 186, 24, 72, 120, 168, 41, 89, 137, 185)(30, 78, 126, 174, 43, 91, 139, 187, 31, 79, 127, 175, 45, 93, 141, 189, 35, 83, 131, 179, 44, 92, 140, 188)(32, 80, 128, 176, 46, 94, 142, 190, 33, 81, 129, 177, 48, 96, 144, 192, 36, 84, 132, 180, 47, 95, 143, 191)
	L = (1, 50)(2, 56)(3, 61)(4, 64)(5, 49)(6, 63)(7, 65)(8, 53)(9, 75)(10, 78)(11, 77)(12, 79)(13, 54)(14, 83)(15, 51)(16, 73)(17, 74)(18, 52)(19, 55)(20, 80)(21, 81)(22, 84)(23, 76)(24, 82)(25, 66)(26, 67)(27, 59)(28, 72)(29, 57)(30, 68)(31, 69)(32, 58)(33, 60)(34, 71)(35, 70)(36, 62)(37, 94)(38, 96)(39, 95)(40, 91)(41, 93)(42, 92)(43, 85)(44, 87)(45, 86)(46, 88)(47, 90)(48, 89)(97, 147)(98, 153)(99, 152)(100, 161)(101, 155)(102, 145)(103, 167)(104, 150)(105, 149)(106, 175)(107, 146)(108, 179)(109, 171)(110, 174)(111, 173)(112, 172)(113, 169)(114, 178)(115, 148)(116, 177)(117, 180)(118, 176)(119, 170)(120, 151)(121, 163)(122, 168)(123, 159)(124, 162)(125, 157)(126, 166)(127, 164)(128, 158)(129, 154)(130, 160)(131, 165)(132, 156)(133, 192)(134, 191)(135, 190)(136, 189)(137, 188)(138, 187)(139, 183)(140, 182)(141, 181)(142, 186)(143, 185)(144, 184)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1038
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.1041 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y2^4, Y3^-2 * Y1 * Y2, Y1^-2 * Y2^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^2 * Y1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 28, 76, 124, 172, 13, 61, 109, 157, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 6, 54, 102, 150, 22, 70, 118, 166, 27, 75, 123, 171, 12, 60, 108, 156)(3, 51, 99, 147, 14, 62, 110, 158, 29, 77, 125, 173, 21, 69, 117, 165, 5, 53, 101, 149, 16, 64, 112, 160)(8, 56, 104, 152, 25, 73, 121, 169, 11, 59, 107, 155, 34, 82, 130, 178, 15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 37, 85, 133, 181, 20, 68, 116, 164, 42, 90, 138, 186, 24, 72, 120, 168, 38, 86, 134, 182)(18, 66, 114, 162, 39, 87, 135, 183, 23, 71, 119, 167, 41, 89, 137, 185, 19, 67, 115, 163, 40, 88, 136, 184)(30, 78, 126, 174, 43, 91, 139, 187, 33, 81, 129, 177, 48, 96, 144, 192, 36, 84, 132, 180, 44, 92, 140, 188)(31, 79, 127, 175, 45, 93, 141, 189, 35, 83, 131, 179, 47, 95, 143, 191, 32, 80, 128, 176, 46, 94, 142, 190)
	L = (1, 50)(2, 56)(3, 61)(4, 65)(5, 49)(6, 63)(7, 68)(8, 53)(9, 75)(10, 78)(11, 77)(12, 81)(13, 54)(14, 83)(15, 51)(16, 80)(17, 73)(18, 55)(19, 52)(20, 74)(21, 79)(22, 84)(23, 76)(24, 82)(25, 67)(26, 66)(27, 59)(28, 72)(29, 57)(30, 64)(31, 60)(32, 58)(33, 69)(34, 71)(35, 70)(36, 62)(37, 94)(38, 93)(39, 92)(40, 91)(41, 96)(42, 95)(43, 85)(44, 90)(45, 89)(46, 88)(47, 87)(48, 86)(97, 147)(98, 153)(99, 152)(100, 162)(101, 155)(102, 145)(103, 167)(104, 150)(105, 149)(106, 175)(107, 146)(108, 179)(109, 173)(110, 174)(111, 171)(112, 177)(113, 172)(114, 169)(115, 178)(116, 148)(117, 180)(118, 176)(119, 170)(120, 151)(121, 164)(122, 168)(123, 157)(124, 163)(125, 159)(126, 166)(127, 160)(128, 158)(129, 154)(130, 161)(131, 165)(132, 156)(133, 192)(134, 188)(135, 190)(136, 189)(137, 191)(138, 187)(139, 183)(140, 185)(141, 181)(142, 186)(143, 182)(144, 184)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1039
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.1042 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y1^-1, Y2^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 20, 68, 116, 164)(8, 56, 104, 152, 22, 70, 118, 166)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 62)(5, 49)(6, 61)(7, 53)(8, 69)(9, 72)(10, 71)(11, 54)(12, 78)(13, 51)(14, 68)(15, 77)(16, 52)(17, 80)(18, 74)(19, 79)(20, 64)(21, 58)(22, 86)(23, 56)(24, 66)(25, 85)(26, 57)(27, 88)(28, 87)(29, 65)(30, 67)(31, 60)(32, 63)(33, 91)(34, 94)(35, 89)(36, 93)(37, 75)(38, 76)(39, 70)(40, 73)(41, 81)(42, 96)(43, 83)(44, 95)(45, 82)(46, 84)(47, 90)(48, 92)(97, 147)(98, 152)(99, 151)(100, 159)(101, 154)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 165)(108, 168)(109, 167)(110, 166)(111, 164)(112, 172)(113, 148)(114, 171)(115, 170)(116, 161)(117, 157)(118, 160)(119, 155)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 182)(126, 181)(127, 184)(128, 183)(129, 188)(130, 187)(131, 186)(132, 185)(133, 175)(134, 176)(135, 173)(136, 174)(137, 178)(138, 177)(139, 180)(140, 179)(141, 192)(142, 191)(143, 189)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1036
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1043 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 6})
Quotient :: loop^2
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, (R * Y3)^2, Y1^-1 * Y2^-2 * Y1^-1, Y2^4, R * Y1 * R * Y2, (Y1 * Y2)^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 20, 68, 116, 164)(8, 56, 104, 152, 22, 70, 118, 166)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(23, 71, 119, 167, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 62)(5, 49)(6, 61)(7, 53)(8, 69)(9, 72)(10, 71)(11, 54)(12, 78)(13, 51)(14, 68)(15, 77)(16, 52)(17, 80)(18, 74)(19, 79)(20, 64)(21, 58)(22, 86)(23, 56)(24, 66)(25, 85)(26, 57)(27, 88)(28, 87)(29, 65)(30, 67)(31, 60)(32, 63)(33, 91)(34, 94)(35, 89)(36, 93)(37, 75)(38, 76)(39, 70)(40, 73)(41, 81)(42, 96)(43, 83)(44, 95)(45, 82)(46, 84)(47, 90)(48, 92)(97, 147)(98, 152)(99, 151)(100, 159)(101, 154)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 167)(108, 168)(109, 165)(110, 166)(111, 164)(112, 172)(113, 148)(114, 171)(115, 170)(116, 161)(117, 155)(118, 160)(119, 157)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 183)(126, 184)(127, 181)(128, 182)(129, 188)(130, 187)(131, 186)(132, 185)(133, 174)(134, 173)(135, 176)(136, 175)(137, 178)(138, 177)(139, 180)(140, 179)(141, 191)(142, 192)(143, 190)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1037
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, Y3^3, Y2^4, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 16, 64)(6, 54, 10, 58)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 19, 67)(13, 61, 26, 74)(14, 62, 28, 76)(15, 63, 31, 79)(17, 65, 32, 80)(20, 68, 34, 82)(21, 69, 36, 84)(22, 70, 39, 87)(24, 72, 40, 88)(25, 73, 35, 83)(27, 75, 33, 81)(29, 77, 37, 85)(30, 78, 38, 86)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 110, 158, 125, 173, 111, 159)(102, 150, 109, 157, 126, 174, 113, 161)(104, 152, 117, 165, 133, 181, 118, 166)(106, 154, 116, 164, 134, 182, 120, 168)(107, 155, 121, 169, 112, 160, 123, 171)(114, 162, 129, 177, 119, 167, 131, 179)(122, 170, 138, 186, 128, 176, 139, 187)(124, 172, 137, 185, 127, 175, 140, 188)(130, 178, 142, 190, 136, 184, 143, 191)(132, 180, 141, 189, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 113)(6, 97)(7, 116)(8, 106)(9, 120)(10, 98)(11, 122)(12, 125)(13, 110)(14, 99)(15, 101)(16, 128)(17, 111)(18, 130)(19, 133)(20, 117)(21, 103)(22, 105)(23, 136)(24, 118)(25, 137)(26, 124)(27, 140)(28, 107)(29, 126)(30, 108)(31, 112)(32, 127)(33, 141)(34, 132)(35, 144)(36, 114)(37, 134)(38, 115)(39, 119)(40, 135)(41, 138)(42, 121)(43, 123)(44, 139)(45, 142)(46, 129)(47, 131)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1046
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, Y2 * Y3 * Y2^-1 * Y3, Y2^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y3^-2 * Y2^2 * Y3^-1, (Y2^-1 * Y1 * Y2^-1)^2, R * Y2^-1 * Y1 * R * Y3^-1 * Y1 * Y2, Y3 * Y2 * Y1 * Y3^-2 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 17, 65)(6, 54, 10, 58)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 30, 78)(14, 62, 32, 80)(15, 63, 24, 72)(16, 64, 33, 81)(18, 66, 34, 82)(19, 67, 28, 76)(22, 70, 36, 84)(23, 71, 38, 86)(25, 73, 39, 87)(27, 75, 40, 88)(29, 77, 37, 85)(31, 79, 35, 83)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 115, 163, 112, 160)(102, 150, 109, 157, 111, 159, 114, 162)(104, 152, 119, 167, 124, 172, 121, 169)(106, 154, 118, 166, 120, 168, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(116, 164, 131, 179, 122, 170, 133, 181)(126, 174, 138, 186, 130, 178, 139, 187)(128, 176, 137, 185, 129, 177, 140, 188)(132, 180, 142, 190, 136, 184, 143, 191)(134, 182, 141, 189, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 126)(12, 115)(13, 112)(14, 99)(15, 108)(16, 101)(17, 130)(18, 110)(19, 102)(20, 132)(21, 124)(22, 121)(23, 103)(24, 117)(25, 105)(26, 136)(27, 119)(28, 106)(29, 137)(30, 129)(31, 140)(32, 107)(33, 113)(34, 128)(35, 141)(36, 135)(37, 144)(38, 116)(39, 122)(40, 134)(41, 139)(42, 125)(43, 127)(44, 138)(45, 143)(46, 131)(47, 133)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1047
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1046 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
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, Y3^3, Y2 * Y3 * Y2, Y1^-1 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^2, Y1^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 22, 70, 14, 62)(4, 52, 12, 60, 23, 71, 16, 64)(6, 54, 20, 68, 24, 72, 21, 69)(7, 55, 10, 58, 25, 73, 18, 66)(9, 57, 26, 74, 17, 65, 27, 75)(11, 59, 29, 77, 19, 67, 30, 78)(15, 63, 32, 80, 40, 88, 35, 83)(28, 76, 42, 90, 37, 85, 45, 93)(31, 79, 44, 92, 34, 82, 41, 89)(33, 81, 48, 96, 36, 84, 47, 95)(38, 86, 46, 94, 39, 87, 43, 91)(97, 145, 99, 147, 103, 151, 111, 159, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 124, 172, 106, 154, 107, 155)(101, 149, 113, 161, 112, 160, 133, 181, 114, 162, 115, 163)(104, 152, 118, 166, 121, 169, 136, 184, 119, 167, 120, 168)(109, 157, 127, 175, 116, 164, 134, 182, 128, 176, 129, 177)(110, 158, 130, 178, 117, 165, 135, 183, 131, 179, 132, 180)(122, 170, 137, 185, 125, 173, 143, 191, 138, 186, 139, 187)(123, 171, 140, 188, 126, 174, 144, 192, 141, 189, 142, 190)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 114)(6, 111)(7, 97)(8, 119)(9, 107)(10, 108)(11, 124)(12, 98)(13, 128)(14, 131)(15, 99)(16, 101)(17, 115)(18, 112)(19, 133)(20, 109)(21, 110)(22, 120)(23, 121)(24, 136)(25, 104)(26, 138)(27, 141)(28, 105)(29, 122)(30, 123)(31, 129)(32, 116)(33, 134)(34, 132)(35, 117)(36, 135)(37, 113)(38, 127)(39, 130)(40, 118)(41, 139)(42, 125)(43, 143)(44, 142)(45, 126)(46, 144)(47, 137)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1044
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1047 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 16>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^4, Y1^2 * Y2 * Y3 * Y2, Y1^-2 * Y3 * Y2^2, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 16, 64)(4, 52, 12, 60, 24, 72, 18, 66)(6, 54, 22, 70, 15, 63, 23, 71)(7, 55, 10, 58, 14, 62, 20, 68)(9, 57, 26, 74, 19, 67, 27, 75)(11, 59, 29, 77, 21, 69, 30, 78)(17, 65, 32, 80, 34, 82, 36, 84)(28, 76, 42, 90, 38, 86, 45, 93)(31, 79, 44, 92, 35, 83, 41, 89)(33, 81, 48, 96, 37, 85, 47, 95)(39, 87, 46, 94, 40, 88, 43, 91)(97, 145, 99, 147, 110, 158, 130, 178, 120, 168, 102, 150)(98, 146, 105, 153, 114, 162, 134, 182, 116, 164, 107, 155)(100, 148, 111, 159, 104, 152, 121, 169, 103, 151, 113, 161)(101, 149, 115, 163, 108, 156, 124, 172, 106, 154, 117, 165)(109, 157, 127, 175, 118, 166, 135, 183, 132, 180, 129, 177)(112, 160, 131, 179, 119, 167, 136, 184, 128, 176, 133, 181)(122, 170, 137, 185, 125, 173, 143, 191, 141, 189, 139, 187)(123, 171, 140, 188, 126, 174, 144, 192, 138, 186, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 116)(6, 113)(7, 97)(8, 120)(9, 117)(10, 114)(11, 124)(12, 98)(13, 128)(14, 104)(15, 130)(16, 132)(17, 99)(18, 101)(19, 107)(20, 108)(21, 134)(22, 112)(23, 109)(24, 103)(25, 102)(26, 138)(27, 141)(28, 105)(29, 123)(30, 122)(31, 133)(32, 118)(33, 136)(34, 121)(35, 129)(36, 119)(37, 135)(38, 115)(39, 131)(40, 127)(41, 142)(42, 125)(43, 144)(44, 139)(45, 126)(46, 143)(47, 140)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1045
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C6 x C2 x C2 x C2) : C2 (small group id <96, 160>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y2^2 * Y3^2, Y2^-1 * Y3^-2 * Y2^-1, Y2^4, (R * Y3)^2, Y3^4, Y2 * Y3^-2 * Y2, (Y3 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * R * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3^2 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64)(4, 52, 18, 66, 27, 75, 12, 60)(6, 54, 24, 72, 28, 76, 25, 73)(7, 55, 22, 70, 29, 77, 10, 58)(9, 57, 30, 78, 21, 69, 33, 81)(11, 59, 37, 85, 23, 71, 38, 86)(14, 62, 31, 79, 44, 92, 43, 91)(15, 63, 35, 83, 45, 93, 42, 90)(17, 65, 36, 84, 46, 94, 40, 88)(19, 67, 32, 80, 47, 95, 39, 87)(20, 68, 34, 82, 48, 96, 41, 89)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 127, 175, 107, 155)(100, 148, 115, 163, 103, 151, 116, 164)(101, 149, 117, 165, 139, 187, 119, 167)(104, 152, 122, 170, 140, 188, 124, 172)(106, 154, 131, 179, 108, 156, 132, 180)(109, 157, 135, 183, 120, 168, 137, 185)(111, 159, 133, 181, 113, 161, 126, 174)(112, 160, 128, 176, 121, 169, 130, 178)(114, 162, 136, 184, 118, 166, 138, 186)(123, 171, 143, 191, 125, 173, 144, 192)(129, 177, 141, 189, 134, 182, 142, 190)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 123)(9, 128)(10, 127)(11, 130)(12, 98)(13, 136)(14, 103)(15, 102)(16, 132)(17, 99)(18, 101)(19, 126)(20, 133)(21, 135)(22, 139)(23, 137)(24, 138)(25, 131)(26, 141)(27, 140)(28, 142)(29, 104)(30, 116)(31, 108)(32, 107)(33, 144)(34, 105)(35, 112)(36, 121)(37, 115)(38, 143)(39, 119)(40, 120)(41, 117)(42, 109)(43, 114)(44, 125)(45, 124)(46, 122)(47, 129)(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, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1049
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C6 x C2 x C2 x C2) : C2 (small group id <96, 160>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, Y3^4, Y3 * Y1^-2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 17, 65, 5, 53)(3, 51, 8, 56, 20, 68, 27, 75, 28, 76, 12, 60)(4, 52, 14, 62, 10, 58, 6, 54, 18, 66, 9, 57)(11, 59, 25, 73, 22, 70, 13, 61, 29, 77, 21, 69)(15, 63, 31, 79, 24, 72, 19, 67, 34, 82, 23, 71)(26, 74, 39, 87, 36, 84, 30, 78, 42, 90, 35, 83)(32, 80, 37, 85, 44, 92, 33, 81, 38, 86, 43, 91)(40, 88, 45, 93, 48, 96, 41, 89, 46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 108, 156)(102, 150, 115, 163)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 120, 168)(107, 155, 122, 170)(109, 157, 126, 174)(110, 158, 127, 175)(112, 160, 123, 171)(113, 161, 124, 172)(114, 162, 130, 178)(117, 165, 131, 179)(118, 166, 132, 180)(121, 169, 135, 183)(125, 173, 138, 186)(128, 176, 136, 184)(129, 177, 137, 185)(133, 181, 141, 189)(134, 182, 142, 190)(139, 187, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 112)(5, 110)(6, 97)(7, 114)(8, 117)(9, 113)(10, 98)(11, 123)(12, 121)(13, 99)(14, 103)(15, 128)(16, 102)(17, 106)(18, 101)(19, 129)(20, 125)(21, 124)(22, 104)(23, 133)(24, 134)(25, 116)(26, 136)(27, 109)(28, 118)(29, 108)(30, 137)(31, 139)(32, 115)(33, 111)(34, 140)(35, 141)(36, 142)(37, 120)(38, 119)(39, 143)(40, 126)(41, 122)(42, 144)(43, 130)(44, 127)(45, 132)(46, 131)(47, 138)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1048
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1050 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 ]
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, 35, 83)(14, 62, 23, 71)(16, 64, 25, 73)(18, 66, 42, 90)(22, 70, 40, 88)(27, 75, 30, 78)(29, 77, 39, 87)(31, 79, 44, 92)(32, 80, 38, 86)(33, 81, 48, 96)(34, 82, 47, 95)(36, 84, 41, 89)(37, 85, 46, 94)(43, 91, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 110, 158, 129, 177, 112, 160)(102, 150, 109, 157, 130, 178, 114, 162)(104, 152, 119, 167, 141, 189, 121, 169)(106, 154, 118, 166, 142, 190, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 132, 180, 144, 192, 134, 182)(115, 163, 126, 174, 143, 191, 136, 184)(116, 164, 135, 183, 122, 170, 140, 188)(120, 168, 137, 185, 139, 187, 128, 176)(124, 172, 138, 186, 133, 181, 131, 179)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 114)(6, 97)(7, 118)(8, 106)(9, 123)(10, 98)(11, 126)(12, 129)(13, 110)(14, 99)(15, 133)(16, 101)(17, 136)(18, 112)(19, 127)(20, 138)(21, 141)(22, 119)(23, 103)(24, 143)(25, 105)(26, 131)(27, 121)(28, 140)(29, 120)(30, 128)(31, 139)(32, 107)(33, 130)(34, 108)(35, 132)(36, 122)(37, 135)(38, 116)(39, 111)(40, 137)(41, 113)(42, 134)(43, 115)(44, 144)(45, 142)(46, 117)(47, 125)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1087
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y2^-1 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 7, 55)(6, 54, 8, 56)(9, 57, 13, 61)(10, 58, 14, 62)(11, 59, 12, 60)(15, 63, 16, 64)(17, 65, 18, 66)(19, 67, 20, 68)(21, 69, 23, 71)(22, 70, 24, 72)(25, 73, 27, 75)(26, 74, 28, 76)(29, 77, 31, 79)(30, 78, 32, 80)(33, 81, 35, 83)(34, 82, 36, 84)(37, 85, 38, 86)(39, 87, 40, 88)(41, 89, 42, 90)(43, 91, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 107, 155, 103, 151, 108, 156)(102, 150, 111, 159, 104, 152, 112, 160)(105, 153, 113, 161, 109, 157, 114, 162)(106, 154, 115, 163, 110, 158, 116, 164)(117, 165, 130, 178, 119, 167, 132, 180)(118, 166, 133, 181, 120, 168, 134, 182)(121, 169, 135, 183, 123, 171, 136, 184)(122, 170, 125, 173, 124, 172, 127, 175)(126, 174, 137, 185, 128, 176, 138, 186)(129, 177, 139, 187, 131, 179, 140, 188)(141, 189, 143, 191, 142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 102)(5, 109)(6, 97)(7, 104)(8, 98)(9, 106)(10, 99)(11, 117)(12, 119)(13, 110)(14, 101)(15, 121)(16, 123)(17, 125)(18, 127)(19, 129)(20, 131)(21, 118)(22, 107)(23, 120)(24, 108)(25, 122)(26, 111)(27, 124)(28, 112)(29, 126)(30, 113)(31, 128)(32, 114)(33, 130)(34, 115)(35, 132)(36, 116)(37, 141)(38, 142)(39, 133)(40, 134)(41, 143)(42, 144)(43, 137)(44, 138)(45, 135)(46, 136)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1084
Graph:: bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2^2 * Y3 * Y1 * Y3 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 27, 75)(9, 57, 28, 76)(10, 58, 30, 78)(12, 60, 25, 73)(13, 61, 31, 79)(14, 62, 17, 65)(16, 64, 20, 68)(19, 67, 32, 80)(22, 70, 26, 74)(23, 71, 29, 77)(33, 81, 42, 90)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 48, 96)(37, 85, 38, 86)(39, 87, 43, 91)(40, 88, 46, 94)(41, 89, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 121, 169, 105, 153)(100, 148, 112, 160, 132, 180, 113, 161)(102, 150, 118, 166, 133, 181, 119, 167)(104, 152, 116, 164, 135, 183, 110, 158)(106, 154, 127, 175, 142, 190, 128, 176)(107, 155, 129, 177, 114, 162, 130, 178)(109, 157, 117, 165, 115, 163, 134, 182)(111, 159, 131, 179, 144, 192, 137, 185)(120, 168, 138, 186, 124, 172, 140, 188)(122, 170, 126, 174, 125, 173, 136, 184)(123, 171, 141, 189, 139, 187, 143, 191)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 115)(6, 97)(7, 122)(8, 106)(9, 125)(10, 98)(11, 119)(12, 132)(13, 110)(14, 99)(15, 136)(16, 105)(17, 103)(18, 118)(19, 116)(20, 101)(21, 130)(22, 137)(23, 131)(24, 128)(25, 135)(26, 113)(27, 134)(28, 127)(29, 112)(30, 140)(31, 143)(32, 141)(33, 123)(34, 139)(35, 107)(36, 133)(37, 108)(38, 129)(39, 142)(40, 138)(41, 114)(42, 111)(43, 117)(44, 144)(45, 120)(46, 121)(47, 124)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1088
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-2 * Y3^3, R * Y2 * Y3 * R * Y2^-1, (Y1 * Y2^-2)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y2 * Y3, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 20, 68)(7, 55, 22, 70)(8, 56, 26, 74)(9, 57, 29, 77)(10, 58, 31, 79)(12, 60, 23, 71)(13, 61, 37, 85)(14, 62, 25, 73)(16, 64, 42, 90)(17, 65, 28, 76)(19, 67, 45, 93)(21, 69, 47, 95)(24, 72, 34, 82)(27, 75, 39, 87)(30, 78, 43, 91)(32, 80, 46, 94)(33, 81, 48, 96)(35, 83, 41, 89)(36, 84, 38, 86)(40, 88, 44, 92)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 119, 167, 105, 153)(100, 148, 110, 158, 117, 165, 113, 161)(102, 150, 109, 157, 112, 160, 115, 163)(104, 152, 121, 169, 128, 176, 124, 172)(106, 154, 120, 168, 123, 171, 126, 174)(107, 155, 129, 177, 114, 162, 131, 179)(111, 159, 134, 182, 143, 191, 136, 184)(116, 164, 130, 178, 138, 186, 139, 187)(118, 166, 144, 192, 125, 173, 137, 185)(122, 170, 132, 180, 142, 190, 140, 188)(127, 175, 133, 181, 135, 183, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 120)(8, 123)(9, 126)(10, 98)(11, 130)(12, 117)(13, 113)(14, 99)(15, 135)(16, 108)(17, 101)(18, 139)(19, 110)(20, 131)(21, 102)(22, 133)(23, 128)(24, 124)(25, 103)(26, 138)(27, 119)(28, 105)(29, 141)(30, 121)(31, 137)(32, 106)(33, 142)(34, 140)(35, 122)(36, 107)(37, 136)(38, 118)(39, 144)(40, 125)(41, 111)(42, 129)(43, 132)(44, 114)(45, 134)(46, 116)(47, 127)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1091
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3^-3, Y2 * Y1 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 19, 67)(6, 54, 22, 70)(7, 55, 26, 74)(8, 56, 29, 77)(9, 57, 31, 79)(10, 58, 33, 81)(12, 60, 27, 75)(13, 61, 34, 82)(14, 62, 16, 64)(17, 65, 40, 88)(18, 66, 21, 69)(20, 68, 35, 83)(23, 71, 28, 76)(24, 72, 32, 80)(25, 73, 45, 93)(30, 78, 41, 89)(36, 84, 44, 92)(37, 85, 46, 94)(38, 86, 43, 91)(39, 87, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 123, 171, 105, 153)(100, 148, 112, 160, 121, 169, 114, 162)(102, 150, 119, 167, 113, 161, 120, 168)(104, 152, 110, 158, 132, 180, 117, 165)(106, 154, 130, 178, 126, 174, 131, 179)(107, 155, 133, 181, 115, 163, 134, 182)(109, 157, 136, 184, 116, 164, 118, 166)(111, 159, 135, 183, 141, 189, 138, 186)(122, 170, 142, 190, 127, 175, 139, 187)(124, 172, 137, 185, 128, 176, 129, 177)(125, 173, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 113)(5, 116)(6, 97)(7, 124)(8, 126)(9, 128)(10, 98)(11, 119)(12, 121)(13, 117)(14, 99)(15, 137)(16, 103)(17, 108)(18, 105)(19, 120)(20, 110)(21, 101)(22, 134)(23, 138)(24, 135)(25, 102)(26, 130)(27, 132)(28, 114)(29, 136)(30, 123)(31, 131)(32, 112)(33, 139)(34, 144)(35, 143)(36, 106)(37, 140)(38, 125)(39, 107)(40, 133)(41, 142)(42, 115)(43, 111)(44, 118)(45, 129)(46, 141)(47, 122)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1092
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y2 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
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, 20, 68)(12, 60, 19, 67)(13, 61, 21, 69)(14, 62, 17, 65)(15, 63, 22, 70)(16, 64, 23, 71)(18, 66, 24, 72)(25, 73, 29, 77)(26, 74, 32, 80)(27, 75, 35, 83)(28, 76, 37, 85)(30, 78, 34, 82)(31, 79, 36, 84)(33, 81, 38, 86)(39, 87, 42, 90)(40, 88, 46, 94)(41, 89, 43, 91)(44, 92, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 110, 158, 126, 174, 111, 159)(102, 150, 114, 162, 131, 179, 115, 163)(104, 152, 113, 161, 130, 178, 118, 166)(106, 154, 120, 168, 123, 171, 108, 156)(109, 157, 124, 172, 138, 186, 125, 173)(112, 160, 128, 176, 142, 190, 129, 177)(117, 165, 133, 181, 135, 183, 121, 169)(119, 167, 122, 170, 136, 184, 134, 182)(127, 175, 141, 189, 143, 191, 139, 187)(132, 180, 140, 188, 144, 192, 137, 185)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 112)(6, 97)(7, 115)(8, 106)(9, 119)(10, 98)(11, 121)(12, 109)(13, 99)(14, 105)(15, 127)(16, 113)(17, 101)(18, 118)(19, 117)(20, 125)(21, 103)(22, 132)(23, 110)(24, 111)(25, 122)(26, 107)(27, 137)(28, 131)(29, 128)(30, 129)(31, 120)(32, 116)(33, 140)(34, 134)(35, 139)(36, 114)(37, 123)(38, 141)(39, 143)(40, 138)(41, 133)(42, 144)(43, 124)(44, 126)(45, 130)(46, 135)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1085
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y1 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 27, 75)(9, 57, 29, 77)(10, 58, 32, 80)(12, 60, 25, 73)(13, 61, 19, 67)(14, 62, 17, 65)(16, 64, 28, 76)(20, 68, 31, 79)(22, 70, 34, 82)(23, 71, 42, 90)(26, 74, 30, 78)(33, 81, 45, 93)(35, 83, 46, 94)(36, 84, 38, 86)(37, 85, 47, 95)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 121, 169, 105, 153)(100, 148, 112, 160, 137, 185, 113, 161)(102, 150, 118, 166, 106, 154, 119, 167)(104, 152, 124, 172, 135, 183, 110, 158)(107, 155, 129, 177, 114, 162, 131, 179)(109, 157, 133, 181, 122, 170, 134, 182)(111, 159, 136, 184, 144, 192, 127, 175)(115, 163, 128, 176, 126, 174, 117, 165)(116, 164, 123, 171, 139, 187, 140, 188)(120, 168, 141, 189, 125, 173, 142, 190)(130, 178, 143, 191, 138, 186, 132, 180)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 115)(6, 97)(7, 122)(8, 106)(9, 126)(10, 98)(11, 130)(12, 111)(13, 110)(14, 99)(15, 132)(16, 120)(17, 103)(18, 118)(19, 116)(20, 101)(21, 131)(22, 139)(23, 136)(24, 138)(25, 123)(26, 113)(27, 143)(28, 107)(29, 119)(30, 127)(31, 105)(32, 142)(33, 144)(34, 124)(35, 137)(36, 108)(37, 141)(38, 129)(39, 128)(40, 125)(41, 117)(42, 112)(43, 114)(44, 133)(45, 140)(46, 135)(47, 121)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1089
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y1 * Y3 * Y1 * Y3^-1, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, Y2^4, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^4 ]
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, 20, 68)(12, 60, 21, 69)(13, 61, 15, 63)(14, 62, 22, 70)(16, 64, 18, 66)(17, 65, 23, 71)(19, 67, 24, 72)(25, 73, 33, 81)(26, 74, 28, 76)(27, 75, 37, 85)(29, 77, 30, 78)(31, 79, 36, 84)(32, 80, 35, 83)(34, 82, 38, 86)(39, 87, 46, 94)(40, 88, 41, 89)(42, 90, 43, 91)(44, 92, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 110, 158, 126, 174, 111, 159)(102, 150, 114, 162, 131, 179, 115, 163)(104, 152, 118, 166, 125, 173, 109, 157)(106, 154, 112, 160, 128, 176, 120, 168)(108, 156, 123, 171, 137, 185, 124, 172)(113, 161, 129, 177, 142, 190, 130, 178)(117, 165, 133, 181, 136, 184, 122, 170)(119, 167, 121, 169, 135, 183, 134, 182)(127, 175, 140, 188, 143, 191, 139, 187)(132, 180, 141, 189, 144, 192, 138, 186)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 112)(6, 97)(7, 117)(8, 106)(9, 114)(10, 98)(11, 121)(12, 109)(13, 99)(14, 127)(15, 103)(16, 113)(17, 101)(18, 119)(19, 118)(20, 129)(21, 111)(22, 132)(23, 105)(24, 110)(25, 122)(26, 107)(27, 138)(28, 116)(29, 133)(30, 123)(31, 120)(32, 141)(33, 124)(34, 131)(35, 140)(36, 115)(37, 139)(38, 128)(39, 143)(40, 142)(41, 135)(42, 126)(43, 125)(44, 130)(45, 134)(46, 144)(47, 137)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1083
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2 * Y3 * Y2 * Y1, Y1 * Y3^-1 * Y2^2 * Y3, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 28, 76)(9, 57, 30, 78)(10, 58, 32, 80)(12, 60, 25, 73)(13, 61, 19, 67)(14, 62, 27, 75)(16, 64, 20, 68)(17, 65, 29, 77)(22, 70, 40, 88)(23, 71, 41, 89)(26, 74, 31, 79)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 38, 86)(36, 84, 42, 90)(37, 85, 44, 92)(39, 87, 48, 96)(43, 91, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 121, 169, 105, 153)(100, 148, 112, 160, 135, 183, 113, 161)(102, 150, 118, 166, 106, 154, 119, 167)(104, 152, 116, 164, 140, 188, 125, 173)(107, 155, 129, 177, 114, 162, 130, 178)(109, 157, 117, 165, 122, 170, 128, 176)(110, 158, 133, 181, 131, 179, 124, 172)(111, 159, 123, 171, 144, 192, 134, 182)(115, 163, 138, 186, 127, 175, 139, 187)(120, 168, 141, 189, 126, 174, 142, 190)(132, 180, 136, 184, 143, 191, 137, 185)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 115)(6, 97)(7, 122)(8, 106)(9, 127)(10, 98)(11, 119)(12, 111)(13, 110)(14, 99)(15, 132)(16, 105)(17, 126)(18, 137)(19, 116)(20, 101)(21, 130)(22, 134)(23, 131)(24, 118)(25, 124)(26, 123)(27, 103)(28, 143)(29, 114)(30, 136)(31, 112)(32, 142)(33, 144)(34, 135)(35, 107)(36, 108)(37, 139)(38, 120)(39, 117)(40, 113)(41, 125)(42, 129)(43, 141)(44, 128)(45, 133)(46, 140)(47, 121)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1086
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1059 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2 * Y3^-2 * Y2 * Y3, Y3 * Y2^-1 * Y3 * Y1 * Y2, Y2^2 * Y1 * Y2^-2 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3^6, Y3^-1 * Y2^2 * Y1 * Y3 * Y2^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 19, 67)(6, 54, 22, 70)(7, 55, 26, 74)(8, 56, 29, 77)(9, 57, 33, 81)(10, 58, 36, 84)(12, 60, 27, 75)(13, 61, 44, 92)(14, 62, 28, 76)(16, 64, 30, 78)(17, 65, 47, 95)(18, 66, 32, 80)(20, 68, 24, 72)(21, 69, 35, 83)(23, 71, 40, 88)(25, 73, 42, 90)(31, 79, 43, 91)(34, 82, 37, 85)(38, 86, 46, 94)(39, 87, 48, 96)(41, 89, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 123, 171, 105, 153)(100, 148, 112, 160, 142, 190, 114, 162)(102, 150, 119, 167, 127, 175, 120, 168)(104, 152, 126, 174, 138, 186, 128, 176)(106, 154, 109, 157, 113, 161, 133, 181)(107, 155, 135, 183, 115, 163, 137, 185)(110, 158, 134, 182, 131, 179, 111, 159)(116, 164, 132, 180, 136, 184, 143, 191)(117, 165, 125, 173, 124, 172, 121, 169)(118, 166, 140, 188, 139, 187, 130, 178)(122, 170, 144, 192, 129, 177, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 113)(5, 116)(6, 97)(7, 119)(8, 127)(9, 130)(10, 98)(11, 136)(12, 138)(13, 128)(14, 99)(15, 139)(16, 122)(17, 144)(18, 115)(19, 133)(20, 112)(21, 101)(22, 137)(23, 114)(24, 110)(25, 102)(26, 140)(27, 142)(28, 103)(29, 143)(30, 107)(31, 135)(32, 129)(33, 120)(34, 126)(35, 105)(36, 141)(37, 124)(38, 106)(39, 134)(40, 131)(41, 125)(42, 132)(43, 108)(44, 117)(45, 111)(46, 118)(47, 123)(48, 121)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1093
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1060 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y2 * Y3^2 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3^6, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^-2 * Y1 * Y3 * Y2^-2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 19, 67)(6, 54, 22, 70)(7, 55, 26, 74)(8, 56, 30, 78)(9, 57, 34, 82)(10, 58, 36, 84)(12, 60, 27, 75)(13, 61, 23, 71)(14, 62, 29, 77)(16, 64, 31, 79)(17, 65, 43, 91)(18, 66, 33, 81)(20, 68, 44, 92)(21, 69, 35, 83)(24, 72, 48, 96)(25, 73, 41, 89)(28, 76, 37, 85)(32, 80, 42, 90)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 123, 171, 105, 153)(100, 148, 112, 160, 142, 190, 114, 162)(102, 150, 119, 167, 128, 176, 120, 168)(104, 152, 127, 175, 137, 185, 129, 177)(106, 154, 133, 181, 113, 161, 116, 164)(107, 155, 135, 183, 115, 163, 136, 184)(109, 157, 139, 187, 144, 192, 132, 180)(110, 158, 121, 169, 131, 179, 126, 174)(111, 159, 125, 173, 134, 182, 117, 165)(118, 166, 124, 172, 138, 186, 140, 188)(122, 170, 143, 191, 130, 178, 141, 189)
	L = (1, 100)(2, 104)(3, 109)(4, 113)(5, 116)(6, 97)(7, 124)(8, 128)(9, 120)(10, 98)(11, 133)(12, 137)(13, 114)(14, 99)(15, 138)(16, 107)(17, 143)(18, 130)(19, 144)(20, 127)(21, 101)(22, 136)(23, 117)(24, 112)(25, 102)(26, 119)(27, 142)(28, 129)(29, 103)(30, 139)(31, 122)(32, 135)(33, 115)(34, 140)(35, 105)(36, 141)(37, 131)(38, 106)(39, 134)(40, 126)(41, 132)(42, 108)(43, 123)(44, 110)(45, 111)(46, 118)(47, 121)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1090
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y2^-1, Y1^4, Y1^-1 * Y3^-2 * Y1^-1, Y2^4, (Y3 * Y1)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(9, 57, 19, 67, 11, 59, 21, 69)(14, 62, 25, 73, 16, 64, 26, 74)(17, 65, 29, 77, 18, 66, 30, 78)(20, 68, 31, 79, 22, 70, 32, 80)(23, 71, 35, 83, 24, 72, 36, 84)(27, 75, 39, 87, 28, 76, 40, 88)(33, 81, 43, 91, 34, 82, 44, 92)(37, 85, 45, 93, 38, 86, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 113, 161, 103, 151, 114, 162)(106, 154, 119, 167, 108, 156, 120, 168)(109, 157, 115, 163, 111, 159, 117, 165)(110, 158, 123, 171, 112, 160, 124, 172)(116, 164, 129, 177, 118, 166, 130, 178)(121, 169, 133, 181, 122, 170, 134, 182)(125, 173, 131, 179, 126, 174, 132, 180)(127, 175, 137, 185, 128, 176, 138, 186)(135, 183, 141, 189, 136, 184, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 116)(10, 101)(11, 118)(12, 98)(13, 121)(14, 102)(15, 122)(16, 99)(17, 124)(18, 123)(19, 127)(20, 107)(21, 128)(22, 105)(23, 130)(24, 129)(25, 111)(26, 109)(27, 113)(28, 114)(29, 136)(30, 135)(31, 117)(32, 115)(33, 119)(34, 120)(35, 140)(36, 139)(37, 138)(38, 137)(39, 125)(40, 126)(41, 133)(42, 134)(43, 131)(44, 132)(45, 144)(46, 143)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1076
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y3^2 * Y2, Y3^-2 * Y1^2, Y3^2 * Y2^-2, (Y3, Y1^-1), (R * Y3)^2, Y2^2 * Y1^-2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(9, 57, 19, 67, 11, 59, 21, 69)(14, 62, 25, 73, 16, 64, 26, 74)(17, 65, 29, 77, 18, 66, 30, 78)(20, 68, 31, 79, 22, 70, 32, 80)(23, 71, 35, 83, 24, 72, 36, 84)(27, 75, 39, 87, 28, 76, 40, 88)(33, 81, 43, 91, 34, 82, 44, 92)(37, 85, 45, 93, 38, 86, 46, 94)(41, 89, 47, 95, 42, 90, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 113, 161, 103, 151, 114, 162)(106, 154, 119, 167, 108, 156, 120, 168)(109, 157, 117, 165, 111, 159, 115, 163)(110, 158, 123, 171, 112, 160, 124, 172)(116, 164, 129, 177, 118, 166, 130, 178)(121, 169, 133, 181, 122, 170, 134, 182)(125, 173, 132, 180, 126, 174, 131, 179)(127, 175, 137, 185, 128, 176, 138, 186)(135, 183, 142, 190, 136, 184, 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, 116)(10, 101)(11, 118)(12, 98)(13, 121)(14, 102)(15, 122)(16, 99)(17, 124)(18, 123)(19, 127)(20, 107)(21, 128)(22, 105)(23, 130)(24, 129)(25, 111)(26, 109)(27, 113)(28, 114)(29, 136)(30, 135)(31, 117)(32, 115)(33, 119)(34, 120)(35, 140)(36, 139)(37, 137)(38, 138)(39, 125)(40, 126)(41, 134)(42, 133)(43, 131)(44, 132)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1081
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^-2 * Y2^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y3^-1, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-2, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y1 * Y2 * Y1^-2, (Y3^-1 * Y2^-1)^3, (Y2 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 16, 64)(4, 52, 18, 66, 27, 75, 12, 60)(6, 54, 24, 72, 43, 91, 25, 73)(7, 55, 22, 70, 29, 77, 10, 58)(9, 57, 30, 78, 19, 67, 33, 81)(11, 59, 37, 85, 20, 68, 38, 86)(14, 62, 31, 79, 45, 93, 40, 88)(15, 63, 28, 76, 48, 96, 36, 84)(17, 65, 26, 74, 44, 92, 35, 83)(21, 69, 41, 89, 46, 94, 34, 82)(23, 71, 42, 90, 47, 95, 32, 80)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 127, 175, 107, 155)(100, 148, 115, 163, 103, 151, 116, 164)(101, 149, 117, 165, 136, 184, 119, 167)(104, 152, 122, 170, 141, 189, 124, 172)(106, 154, 131, 179, 108, 156, 132, 180)(109, 157, 130, 178, 120, 168, 128, 176)(111, 159, 137, 185, 113, 161, 138, 186)(112, 160, 133, 181, 121, 169, 126, 174)(114, 162, 139, 187, 118, 166, 135, 183)(123, 171, 142, 190, 125, 173, 143, 191)(129, 177, 144, 192, 134, 182, 140, 188)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 123)(9, 128)(10, 127)(11, 130)(12, 98)(13, 131)(14, 103)(15, 102)(16, 122)(17, 99)(18, 101)(19, 138)(20, 137)(21, 134)(22, 136)(23, 129)(24, 132)(25, 124)(26, 121)(27, 141)(28, 112)(29, 104)(30, 142)(31, 108)(32, 107)(33, 117)(34, 105)(35, 120)(36, 109)(37, 143)(38, 119)(39, 144)(40, 114)(41, 115)(42, 116)(43, 140)(44, 135)(45, 125)(46, 133)(47, 126)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1073
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, Y2^4, Y3^4, Y1^4, Y2 * Y3^2 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * R * Y2^-1)^2, (Y2^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 35, 83, 16, 64)(4, 52, 18, 66, 27, 75, 12, 60)(6, 54, 24, 72, 36, 84, 25, 73)(7, 55, 22, 70, 29, 77, 10, 58)(9, 57, 30, 78, 46, 94, 33, 81)(11, 59, 37, 85, 47, 95, 38, 86)(14, 62, 31, 79, 44, 92, 41, 89)(15, 63, 42, 90, 48, 96, 28, 76)(17, 65, 43, 91, 45, 93, 26, 74)(19, 67, 40, 88, 21, 69, 34, 82)(20, 68, 39, 87, 23, 71, 32, 80)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 127, 175, 107, 155)(100, 148, 115, 163, 103, 151, 116, 164)(101, 149, 117, 165, 137, 185, 119, 167)(104, 152, 122, 170, 140, 188, 124, 172)(106, 154, 131, 179, 108, 156, 132, 180)(109, 157, 135, 183, 120, 168, 136, 184)(111, 159, 129, 177, 113, 161, 134, 182)(112, 160, 126, 174, 121, 169, 133, 181)(114, 162, 138, 186, 118, 166, 139, 187)(123, 171, 142, 190, 125, 173, 143, 191)(128, 176, 141, 189, 130, 178, 144, 192)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 123)(9, 128)(10, 127)(11, 130)(12, 98)(13, 122)(14, 103)(15, 102)(16, 139)(17, 99)(18, 101)(19, 134)(20, 129)(21, 133)(22, 137)(23, 126)(24, 124)(25, 138)(26, 120)(27, 140)(28, 109)(29, 104)(30, 117)(31, 108)(32, 107)(33, 115)(34, 105)(35, 144)(36, 141)(37, 119)(38, 116)(39, 143)(40, 142)(41, 114)(42, 112)(43, 121)(44, 125)(45, 131)(46, 135)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1079
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y3^-1)^2, Y3^-2 * Y2^2, Y3^4, Y3^-1 * Y2^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y1^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y3^-1 * Y2^-1)^3, Y1^-1 * Y3^-1 * Y2 * Y1^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 16, 64)(4, 52, 18, 66, 27, 75, 12, 60)(6, 54, 24, 72, 43, 91, 25, 73)(7, 55, 22, 70, 29, 77, 10, 58)(9, 57, 30, 78, 20, 68, 33, 81)(11, 59, 37, 85, 19, 67, 38, 86)(14, 62, 31, 79, 45, 93, 40, 88)(15, 63, 26, 74, 44, 92, 36, 84)(17, 65, 28, 76, 48, 96, 35, 83)(21, 69, 41, 89, 47, 95, 32, 80)(23, 71, 42, 90, 46, 94, 34, 82)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 127, 175, 107, 155)(100, 148, 115, 163, 103, 151, 116, 164)(101, 149, 117, 165, 136, 184, 119, 167)(104, 152, 122, 170, 141, 189, 124, 172)(106, 154, 131, 179, 108, 156, 132, 180)(109, 157, 130, 178, 120, 168, 128, 176)(111, 159, 137, 185, 113, 161, 138, 186)(112, 160, 126, 174, 121, 169, 133, 181)(114, 162, 135, 183, 118, 166, 139, 187)(123, 171, 142, 190, 125, 173, 143, 191)(129, 177, 140, 188, 134, 182, 144, 192)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 123)(9, 128)(10, 127)(11, 130)(12, 98)(13, 131)(14, 103)(15, 102)(16, 124)(17, 99)(18, 101)(19, 138)(20, 137)(21, 129)(22, 136)(23, 134)(24, 132)(25, 122)(26, 112)(27, 141)(28, 121)(29, 104)(30, 142)(31, 108)(32, 107)(33, 119)(34, 105)(35, 120)(36, 109)(37, 143)(38, 117)(39, 140)(40, 114)(41, 115)(42, 116)(43, 144)(44, 139)(45, 125)(46, 133)(47, 126)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1078
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2 * Y3^-1, Y3 * Y2^-2 * Y3, Y3^4, Y3^2 * Y2^-2, Y2 * Y3^2 * Y2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * R * Y2^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 36, 84, 16, 64)(4, 52, 18, 66, 27, 75, 12, 60)(6, 54, 24, 72, 35, 83, 25, 73)(7, 55, 22, 70, 29, 77, 10, 58)(9, 57, 30, 78, 47, 95, 33, 81)(11, 59, 37, 85, 46, 94, 38, 86)(14, 62, 31, 79, 44, 92, 41, 89)(15, 63, 42, 90, 45, 93, 26, 74)(17, 65, 43, 91, 48, 96, 28, 76)(19, 67, 40, 88, 23, 71, 34, 82)(20, 68, 39, 87, 21, 69, 32, 80)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 127, 175, 107, 155)(100, 148, 115, 163, 103, 151, 116, 164)(101, 149, 117, 165, 137, 185, 119, 167)(104, 152, 122, 170, 140, 188, 124, 172)(106, 154, 131, 179, 108, 156, 132, 180)(109, 157, 135, 183, 120, 168, 136, 184)(111, 159, 129, 177, 113, 161, 134, 182)(112, 160, 133, 181, 121, 169, 126, 174)(114, 162, 138, 186, 118, 166, 139, 187)(123, 171, 142, 190, 125, 173, 143, 191)(128, 176, 141, 189, 130, 178, 144, 192)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 118)(6, 113)(7, 97)(8, 123)(9, 128)(10, 127)(11, 130)(12, 98)(13, 124)(14, 103)(15, 102)(16, 139)(17, 99)(18, 101)(19, 134)(20, 129)(21, 126)(22, 137)(23, 133)(24, 122)(25, 138)(26, 109)(27, 140)(28, 120)(29, 104)(30, 119)(31, 108)(32, 107)(33, 115)(34, 105)(35, 144)(36, 141)(37, 117)(38, 116)(39, 142)(40, 143)(41, 114)(42, 112)(43, 121)(44, 125)(45, 131)(46, 136)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1074
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, (R * Y3)^2, Y2^4, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (R * Y2^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, R * Y1^-2 * Y2^-1 * Y1^-1 * R * Y2^-1 * Y1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 23, 71, 11, 59)(5, 53, 14, 62, 29, 77, 15, 63)(7, 55, 18, 66, 35, 83, 20, 68)(8, 56, 21, 69, 36, 84, 22, 70)(10, 58, 19, 67, 31, 79, 26, 74)(12, 60, 27, 75, 40, 88, 25, 73)(13, 61, 28, 76, 39, 87, 24, 72)(16, 64, 30, 78, 41, 89, 32, 80)(17, 65, 33, 81, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 44, 92)(38, 86, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 103, 151, 115, 163, 104, 152)(100, 148, 108, 156, 122, 170, 109, 157)(102, 150, 112, 160, 127, 175, 113, 161)(105, 153, 120, 168, 110, 158, 121, 169)(107, 155, 114, 162, 111, 159, 117, 165)(116, 164, 126, 174, 118, 166, 129, 177)(119, 167, 133, 181, 125, 173, 134, 182)(123, 171, 130, 178, 124, 172, 128, 176)(131, 179, 139, 187, 132, 180, 140, 188)(135, 183, 141, 189, 136, 184, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 115)(11, 99)(12, 123)(13, 124)(14, 125)(15, 101)(16, 126)(17, 129)(18, 131)(19, 127)(20, 103)(21, 132)(22, 104)(23, 107)(24, 109)(25, 108)(26, 106)(27, 136)(28, 135)(29, 111)(30, 137)(31, 122)(32, 112)(33, 138)(34, 113)(35, 116)(36, 118)(37, 141)(38, 142)(39, 120)(40, 121)(41, 128)(42, 130)(43, 134)(44, 133)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1082
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-2, Y3^2 * Y1^2, Y3^-2 * Y1^2, Y1^4, (Y3^-1, Y1^-1), Y2^2 * Y3^-1 * Y1^-1, Y3 * Y2^2 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1^-1)^3, R * Y3^-1 * Y2 * Y1^-1 * Y2 * R * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(6, 54, 16, 64, 28, 76, 14, 62)(9, 57, 21, 69, 35, 83, 23, 71)(11, 59, 24, 72, 36, 84, 22, 70)(17, 65, 29, 77, 40, 88, 26, 74)(18, 66, 30, 78, 39, 87, 27, 75)(19, 67, 31, 79, 41, 89, 33, 81)(20, 68, 34, 82, 42, 90, 32, 80)(37, 85, 45, 93, 47, 95, 44, 92)(38, 86, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 106, 154, 102, 150)(98, 146, 105, 153, 103, 151, 107, 155)(100, 148, 113, 161, 101, 149, 114, 162)(104, 152, 115, 163, 108, 156, 116, 164)(109, 157, 122, 170, 112, 160, 123, 171)(110, 158, 120, 168, 111, 159, 117, 165)(118, 166, 130, 178, 119, 167, 127, 175)(121, 169, 133, 181, 124, 172, 134, 182)(125, 173, 129, 177, 126, 174, 128, 176)(131, 179, 139, 187, 132, 180, 140, 188)(135, 183, 142, 190, 136, 184, 141, 189)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 111)(7, 97)(8, 103)(9, 118)(10, 101)(11, 119)(12, 98)(13, 102)(14, 121)(15, 124)(16, 99)(17, 123)(18, 122)(19, 128)(20, 129)(21, 107)(22, 131)(23, 132)(24, 105)(25, 112)(26, 135)(27, 136)(28, 109)(29, 114)(30, 113)(31, 116)(32, 137)(33, 138)(34, 115)(35, 120)(36, 117)(37, 139)(38, 140)(39, 125)(40, 126)(41, 130)(42, 127)(43, 143)(44, 144)(45, 134)(46, 133)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1072
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2 * Y1, Y3^-2 * Y1^2, Y3^2 * Y1^2, (R * Y1)^2, Y1^4, (Y3^-1, Y1^-1), Y2^4, Y2^2 * Y3 * Y1^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3, (Y2 * Y1^-1)^3, R * Y1^-2 * Y2 * Y1^-1 * R * Y2 * Y1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(6, 54, 14, 62, 27, 75, 16, 64)(9, 57, 21, 69, 35, 83, 23, 71)(11, 59, 22, 70, 36, 84, 24, 72)(17, 65, 29, 77, 39, 87, 26, 74)(18, 66, 30, 78, 40, 88, 28, 76)(19, 67, 31, 79, 41, 89, 33, 81)(20, 68, 32, 80, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 44, 92)(38, 86, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 105, 153, 100, 148, 107, 155)(101, 149, 113, 161, 103, 151, 114, 162)(104, 152, 115, 163, 106, 154, 116, 164)(109, 157, 122, 170, 110, 158, 124, 172)(111, 159, 118, 166, 112, 160, 117, 165)(119, 167, 128, 176, 120, 168, 127, 175)(121, 169, 133, 181, 123, 171, 134, 182)(125, 173, 129, 177, 126, 174, 130, 178)(131, 179, 139, 187, 132, 180, 140, 188)(135, 183, 142, 190, 136, 184, 141, 189)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 109)(7, 97)(8, 103)(9, 118)(10, 101)(11, 117)(12, 98)(13, 123)(14, 121)(15, 102)(16, 99)(17, 126)(18, 125)(19, 128)(20, 127)(21, 132)(22, 131)(23, 107)(24, 105)(25, 112)(26, 114)(27, 111)(28, 113)(29, 136)(30, 135)(31, 138)(32, 137)(33, 116)(34, 115)(35, 120)(36, 119)(37, 142)(38, 141)(39, 124)(40, 122)(41, 130)(42, 129)(43, 133)(44, 134)(45, 144)(46, 143)(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) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1077
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y3, Y3 * Y1^-1 * Y2^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y3^4, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * R * Y2 * R * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 15, 63)(4, 52, 17, 65, 27, 75, 12, 60)(6, 54, 14, 62, 41, 89, 24, 72)(7, 55, 22, 70, 29, 77, 10, 58)(9, 57, 30, 78, 18, 66, 32, 80)(11, 59, 31, 79, 20, 68, 37, 85)(16, 64, 26, 74, 44, 92, 34, 82)(19, 67, 35, 83, 47, 95, 43, 91)(21, 69, 40, 88, 46, 94, 33, 81)(23, 71, 42, 90, 48, 96, 38, 86)(25, 73, 28, 76, 45, 93, 36, 84)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 114, 162, 139, 187, 116, 164)(101, 149, 117, 165, 103, 151, 119, 167)(104, 152, 122, 170, 113, 161, 124, 172)(106, 154, 130, 178, 115, 163, 132, 180)(109, 157, 126, 174, 140, 188, 136, 184)(110, 158, 128, 176, 141, 189, 129, 177)(111, 159, 127, 175, 112, 160, 138, 186)(118, 166, 135, 183, 143, 191, 137, 185)(120, 168, 133, 181, 121, 169, 134, 182)(123, 171, 142, 190, 131, 179, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 118)(6, 109)(7, 97)(8, 123)(9, 127)(10, 131)(11, 126)(12, 98)(13, 130)(14, 132)(15, 122)(16, 99)(17, 101)(18, 133)(19, 103)(20, 128)(21, 138)(22, 139)(23, 136)(24, 124)(25, 102)(26, 141)(27, 143)(28, 140)(29, 104)(30, 142)(31, 144)(32, 117)(33, 105)(34, 121)(35, 108)(36, 112)(37, 119)(38, 107)(39, 120)(40, 114)(41, 111)(42, 116)(43, 113)(44, 135)(45, 137)(46, 134)(47, 125)(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, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1075
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y3^-1, (R * Y3)^2, Y2^4, (Y1 * Y3^-1)^2, (Y3 * Y1)^2, Y1^4, (R * Y1)^2, Y3^4, Y2 * Y3^-1 * Y1^-1 * Y2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2 * Y1^-2 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * R * Y2 * R, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 15, 63)(4, 52, 17, 65, 27, 75, 12, 60)(6, 54, 16, 64, 40, 88, 23, 71)(7, 55, 21, 69, 29, 77, 10, 58)(9, 57, 30, 78, 24, 72, 32, 80)(11, 59, 33, 81, 25, 73, 36, 84)(14, 62, 26, 74, 44, 92, 37, 85)(18, 66, 41, 89, 48, 96, 35, 83)(19, 67, 34, 82, 46, 94, 42, 90)(20, 68, 43, 91, 47, 95, 31, 79)(22, 70, 28, 76, 45, 93, 38, 86)(97, 145, 99, 147, 106, 154, 102, 150)(98, 146, 105, 153, 123, 171, 107, 155)(100, 148, 114, 162, 101, 149, 116, 164)(103, 151, 120, 168, 138, 186, 121, 169)(104, 152, 122, 170, 117, 165, 124, 172)(108, 156, 133, 181, 115, 163, 134, 182)(109, 157, 131, 179, 140, 188, 132, 180)(110, 158, 128, 176, 111, 159, 127, 175)(112, 160, 137, 185, 141, 189, 129, 177)(113, 161, 135, 183, 142, 190, 136, 184)(118, 166, 126, 174, 119, 167, 139, 187)(125, 173, 143, 191, 130, 178, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 117)(6, 118)(7, 97)(8, 123)(9, 127)(10, 130)(11, 131)(12, 98)(13, 102)(14, 134)(15, 136)(16, 99)(17, 101)(18, 132)(19, 103)(20, 128)(21, 138)(22, 133)(23, 135)(24, 139)(25, 137)(26, 111)(27, 142)(28, 119)(29, 104)(30, 107)(31, 144)(32, 121)(33, 105)(34, 108)(35, 143)(36, 120)(37, 109)(38, 112)(39, 140)(40, 141)(41, 116)(42, 113)(43, 114)(44, 124)(45, 122)(46, 125)(47, 126)(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, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1080
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1072 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y2 * Y3, Y1 * Y2 * Y1^-1 * Y2, Y1^3 * Y2, (Y3 * R)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 3, 51, 8, 56, 5, 53)(4, 52, 11, 59, 16, 64, 6, 54, 15, 63, 12, 60)(9, 57, 17, 65, 20, 68, 10, 58, 19, 67, 18, 66)(13, 61, 25, 73, 28, 76, 14, 62, 27, 75, 26, 74)(21, 69, 33, 81, 36, 84, 22, 70, 35, 83, 34, 82)(23, 71, 37, 85, 30, 78, 24, 72, 38, 86, 29, 77)(31, 79, 41, 89, 39, 87, 32, 80, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93, 44, 92, 48, 96, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 102, 150)(101, 149, 103, 151)(105, 153, 106, 154)(107, 155, 111, 159)(108, 156, 112, 160)(109, 157, 110, 158)(113, 161, 115, 163)(114, 162, 116, 164)(117, 165, 118, 166)(119, 167, 120, 168)(121, 169, 123, 171)(122, 170, 124, 172)(125, 173, 126, 174)(127, 175, 128, 176)(129, 177, 131, 179)(130, 178, 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, 109)(6, 97)(7, 110)(8, 106)(9, 104)(10, 98)(11, 117)(12, 119)(13, 103)(14, 101)(15, 118)(16, 120)(17, 125)(18, 127)(19, 126)(20, 128)(21, 111)(22, 107)(23, 112)(24, 108)(25, 135)(26, 129)(27, 136)(28, 131)(29, 115)(30, 113)(31, 116)(32, 114)(33, 124)(34, 139)(35, 122)(36, 140)(37, 141)(38, 142)(39, 123)(40, 121)(41, 143)(42, 144)(43, 132)(44, 130)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1068
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1073 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-3 * Y3^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1, Y1^-1 * Y2 * Y1 * R * Y2 * R, Y1 * R * Y2 * R * Y1^-1 * Y2, Y2 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-2)^2, R * Y2 * R * Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 19, 67, 5, 53)(3, 51, 11, 59, 29, 77, 33, 81, 35, 83, 13, 61)(4, 52, 15, 63, 10, 58, 6, 54, 20, 68, 9, 57)(8, 56, 23, 71, 48, 96, 45, 93, 34, 82, 25, 73)(12, 60, 31, 79, 28, 76, 14, 62, 36, 84, 27, 75)(16, 64, 39, 87, 47, 95, 21, 69, 44, 92, 41, 89)(18, 66, 42, 90, 30, 78, 22, 70, 40, 88, 43, 91)(24, 72, 32, 80, 38, 86, 26, 74, 37, 85, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 128, 176)(109, 157, 130, 178)(110, 158, 133, 181)(111, 159, 134, 182)(113, 161, 129, 177)(115, 163, 141, 189)(116, 164, 142, 190)(119, 167, 125, 173)(120, 168, 137, 185)(121, 169, 138, 186)(122, 170, 143, 191)(127, 175, 135, 183)(131, 179, 139, 187)(132, 180, 140, 188)(136, 184, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 111)(6, 97)(7, 116)(8, 120)(9, 115)(10, 98)(11, 123)(12, 129)(13, 127)(14, 99)(15, 103)(16, 136)(17, 102)(18, 135)(19, 106)(20, 101)(21, 138)(22, 140)(23, 142)(24, 141)(25, 128)(26, 104)(27, 131)(28, 107)(29, 132)(30, 137)(31, 125)(32, 144)(33, 110)(34, 134)(35, 124)(36, 109)(37, 121)(38, 119)(39, 118)(40, 117)(41, 139)(42, 112)(43, 143)(44, 114)(45, 122)(46, 130)(47, 126)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1063
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3 * Y1, Y1 * Y2 * Y1^-1 * R * Y2 * R, Y1 * Y2 * Y1^-1 * R * Y2 * R, (Y2 * Y3^2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, R * Y1^-1 * Y2 * Y1 * Y2 * R * Y2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2, (Y3^-1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 19, 67, 5, 53)(3, 51, 11, 59, 29, 77, 35, 83, 37, 85, 13, 61)(4, 52, 15, 63, 10, 58, 6, 54, 20, 68, 9, 57)(8, 56, 23, 71, 41, 89, 46, 94, 36, 84, 25, 73)(12, 60, 33, 81, 32, 80, 14, 62, 38, 86, 31, 79)(16, 64, 40, 88, 26, 74, 21, 69, 47, 95, 24, 72)(18, 66, 42, 90, 30, 78, 22, 70, 48, 96, 44, 92)(27, 75, 34, 82, 43, 91, 28, 76, 39, 87, 45, 93)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 130, 178)(109, 157, 132, 180)(110, 158, 135, 183)(111, 159, 129, 177)(113, 161, 131, 179)(115, 163, 142, 190)(116, 164, 134, 182)(119, 167, 125, 173)(120, 168, 127, 175)(121, 169, 138, 186)(122, 170, 128, 176)(133, 181, 140, 188)(136, 184, 139, 187)(137, 185, 144, 192)(141, 189, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 111)(6, 97)(7, 116)(8, 120)(9, 115)(10, 98)(11, 127)(12, 131)(13, 129)(14, 99)(15, 103)(16, 137)(17, 102)(18, 139)(19, 106)(20, 101)(21, 121)(22, 141)(23, 143)(24, 142)(25, 112)(26, 104)(27, 140)(28, 126)(29, 134)(30, 123)(31, 133)(32, 107)(33, 125)(34, 144)(35, 110)(36, 136)(37, 128)(38, 109)(39, 138)(40, 119)(41, 117)(42, 130)(43, 118)(44, 124)(45, 114)(46, 122)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1066
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-2 * Y1, Y1 * Y3^-1 * Y1 * Y3 * Y2, Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2, R * Y2 * R * Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 21, 69, 5, 53)(3, 51, 11, 59, 33, 81, 36, 84, 39, 87, 13, 61)(4, 52, 15, 63, 25, 73, 6, 54, 23, 71, 18, 66)(8, 56, 27, 75, 46, 94, 45, 93, 37, 85, 29, 77)(9, 57, 12, 60, 32, 80, 10, 58, 14, 62, 31, 79)(16, 64, 20, 68, 30, 78, 24, 72, 22, 70, 28, 76)(19, 67, 43, 91, 34, 82, 26, 74, 42, 90, 44, 92)(35, 83, 38, 86, 48, 96, 41, 89, 40, 88, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 120, 168)(103, 151, 122, 170)(105, 153, 114, 162)(106, 154, 121, 169)(107, 155, 130, 178)(108, 156, 131, 179)(109, 157, 133, 181)(110, 158, 137, 185)(111, 159, 134, 182)(113, 161, 132, 180)(116, 164, 128, 176)(117, 165, 141, 189)(118, 166, 127, 175)(119, 167, 136, 184)(123, 171, 129, 177)(124, 172, 143, 191)(125, 173, 139, 187)(126, 174, 144, 192)(135, 183, 140, 188)(138, 186, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 118)(8, 124)(9, 117)(10, 98)(11, 114)(12, 132)(13, 134)(14, 99)(15, 122)(16, 138)(17, 102)(18, 135)(19, 111)(20, 103)(21, 106)(22, 101)(23, 115)(24, 139)(25, 107)(26, 119)(27, 127)(28, 141)(29, 131)(30, 104)(31, 133)(32, 123)(33, 136)(34, 143)(35, 142)(36, 110)(37, 128)(38, 129)(39, 121)(40, 109)(41, 125)(42, 120)(43, 112)(44, 144)(45, 126)(46, 137)(47, 140)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1070
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, Y3^4, (R * Y2)^2, Y3 * Y1^-2 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y1^-2 * Y2, Y2 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 18, 66, 5, 53)(3, 51, 11, 59, 25, 73, 30, 78, 32, 80, 13, 61)(4, 52, 15, 63, 10, 58, 6, 54, 19, 67, 9, 57)(8, 56, 21, 69, 40, 88, 38, 86, 31, 79, 23, 71)(12, 60, 29, 77, 28, 76, 14, 62, 33, 81, 27, 75)(17, 65, 35, 83, 26, 74, 20, 68, 39, 87, 36, 84)(22, 70, 43, 91, 42, 90, 24, 72, 44, 92, 41, 89)(34, 82, 46, 94, 48, 96, 37, 85, 45, 93, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 113, 161)(102, 150, 110, 158)(103, 151, 116, 164)(105, 153, 118, 166)(106, 154, 120, 168)(107, 155, 122, 170)(109, 157, 127, 175)(111, 159, 130, 178)(112, 160, 126, 174)(114, 162, 134, 182)(115, 163, 133, 181)(117, 165, 121, 169)(119, 167, 131, 179)(123, 171, 141, 189)(124, 172, 142, 190)(125, 173, 138, 186)(128, 176, 132, 180)(129, 177, 137, 185)(135, 183, 136, 184)(139, 187, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 111)(6, 97)(7, 115)(8, 118)(9, 114)(10, 98)(11, 123)(12, 126)(13, 125)(14, 99)(15, 103)(16, 102)(17, 130)(18, 106)(19, 101)(20, 133)(21, 137)(22, 134)(23, 139)(24, 104)(25, 129)(26, 141)(27, 128)(28, 107)(29, 121)(30, 110)(31, 138)(32, 124)(33, 109)(34, 116)(35, 143)(36, 142)(37, 113)(38, 120)(39, 144)(40, 140)(41, 127)(42, 117)(43, 136)(44, 119)(45, 132)(46, 122)(47, 135)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1061
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^6, Y2 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-1, Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3^-1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 26, 74, 21, 69, 5, 53)(3, 51, 11, 59, 36, 84, 44, 92, 42, 90, 13, 61)(4, 52, 15, 63, 10, 58, 34, 82, 47, 95, 18, 66)(6, 54, 23, 71, 32, 80, 39, 87, 20, 68, 25, 73)(8, 56, 29, 77, 17, 65, 46, 94, 41, 89, 31, 79)(9, 57, 16, 64, 28, 76, 43, 91, 14, 62, 22, 70)(12, 60, 38, 86, 35, 83, 24, 72, 48, 96, 30, 78)(19, 67, 45, 93, 37, 85, 27, 75, 40, 88, 33, 81)(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, 128, 176)(106, 154, 131, 179)(107, 155, 133, 181)(108, 156, 135, 183)(109, 157, 137, 185)(110, 158, 130, 178)(111, 159, 116, 164)(113, 161, 136, 184)(114, 162, 126, 174)(117, 165, 142, 190)(118, 166, 144, 192)(119, 167, 143, 191)(121, 169, 139, 187)(122, 170, 140, 188)(124, 172, 134, 182)(125, 173, 132, 180)(127, 175, 141, 189)(129, 177, 138, 186)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 119)(8, 126)(9, 129)(10, 98)(11, 128)(12, 136)(13, 124)(14, 99)(15, 123)(16, 140)(17, 102)(18, 117)(19, 134)(20, 132)(21, 139)(22, 101)(23, 109)(24, 141)(25, 104)(26, 130)(27, 144)(28, 103)(29, 143)(30, 138)(31, 135)(32, 142)(33, 106)(34, 127)(35, 107)(36, 118)(37, 114)(38, 125)(39, 122)(40, 110)(41, 111)(42, 121)(43, 133)(44, 120)(45, 112)(46, 131)(47, 115)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1069
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y3^-1, (Y2 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y1^-1 * Y2)^3, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 19, 67, 5, 53)(3, 51, 11, 59, 29, 77, 33, 81, 34, 82, 13, 61)(4, 52, 15, 63, 10, 58, 6, 54, 20, 68, 9, 57)(8, 56, 23, 71, 47, 95, 43, 91, 48, 96, 25, 73)(12, 60, 31, 79, 28, 76, 14, 62, 35, 83, 27, 75)(16, 64, 38, 86, 45, 93, 21, 69, 42, 90, 40, 88)(18, 66, 41, 89, 46, 94, 22, 70, 39, 87, 30, 78)(24, 72, 36, 84, 37, 85, 26, 74, 32, 80, 44, 92)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 128, 176)(109, 157, 119, 167)(110, 158, 132, 180)(111, 159, 133, 181)(113, 161, 129, 177)(115, 163, 139, 187)(116, 164, 140, 188)(120, 168, 141, 189)(121, 169, 135, 183)(122, 170, 136, 184)(125, 173, 144, 192)(127, 175, 138, 186)(130, 178, 142, 190)(131, 179, 134, 182)(137, 185, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 111)(6, 97)(7, 116)(8, 120)(9, 115)(10, 98)(11, 123)(12, 129)(13, 127)(14, 99)(15, 103)(16, 135)(17, 102)(18, 134)(19, 106)(20, 101)(21, 137)(22, 138)(23, 140)(24, 139)(25, 132)(26, 104)(27, 130)(28, 107)(29, 131)(30, 141)(31, 125)(32, 121)(33, 110)(34, 124)(35, 109)(36, 143)(37, 119)(38, 118)(39, 117)(40, 126)(41, 112)(42, 114)(43, 122)(44, 144)(45, 142)(46, 136)(47, 128)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1065
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y1)^2, Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1, (Y2 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1, (Y2 * Y3^-2)^2, Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 19, 67, 5, 53)(3, 51, 11, 59, 29, 77, 35, 83, 36, 84, 13, 61)(4, 52, 15, 63, 10, 58, 6, 54, 20, 68, 9, 57)(8, 56, 23, 71, 40, 88, 44, 92, 48, 96, 25, 73)(12, 60, 33, 81, 32, 80, 14, 62, 37, 85, 31, 79)(16, 64, 39, 87, 26, 74, 21, 69, 45, 93, 24, 72)(18, 66, 41, 89, 47, 95, 22, 70, 46, 94, 30, 78)(27, 75, 38, 86, 42, 90, 28, 76, 34, 82, 43, 91)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 117, 165)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 130, 178)(109, 157, 119, 167)(110, 158, 134, 182)(111, 159, 129, 177)(113, 161, 131, 179)(115, 163, 140, 188)(116, 164, 133, 181)(120, 168, 128, 176)(121, 169, 142, 190)(122, 170, 127, 175)(125, 173, 144, 192)(132, 180, 143, 191)(135, 183, 139, 187)(136, 184, 137, 185)(138, 186, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 111)(6, 97)(7, 116)(8, 120)(9, 115)(10, 98)(11, 127)(12, 131)(13, 129)(14, 99)(15, 103)(16, 136)(17, 102)(18, 138)(19, 106)(20, 101)(21, 121)(22, 139)(23, 141)(24, 140)(25, 112)(26, 104)(27, 126)(28, 143)(29, 133)(30, 124)(31, 132)(32, 107)(33, 125)(34, 137)(35, 110)(36, 128)(37, 109)(38, 142)(39, 119)(40, 117)(41, 134)(42, 118)(43, 114)(44, 122)(45, 144)(46, 130)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1064
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^2 * Y3^-2 * Y1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3, (Y2 * Y1^-1)^3, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 21, 69, 5, 53)(3, 51, 11, 59, 33, 81, 36, 84, 38, 86, 13, 61)(4, 52, 15, 63, 25, 73, 6, 54, 23, 71, 18, 66)(8, 56, 27, 75, 45, 93, 43, 91, 47, 95, 29, 77)(9, 57, 14, 62, 32, 80, 10, 58, 12, 60, 31, 79)(16, 64, 22, 70, 30, 78, 24, 72, 20, 68, 28, 76)(19, 67, 42, 90, 44, 92, 26, 74, 41, 89, 34, 82)(35, 83, 39, 87, 48, 96, 40, 88, 37, 85, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 120, 168)(103, 151, 122, 170)(105, 153, 121, 169)(106, 154, 114, 162)(107, 155, 130, 178)(108, 156, 131, 179)(109, 157, 123, 171)(110, 158, 136, 184)(111, 159, 133, 181)(113, 161, 132, 180)(116, 164, 127, 175)(117, 165, 139, 187)(118, 166, 128, 176)(119, 167, 135, 183)(124, 172, 142, 190)(125, 173, 137, 185)(126, 174, 144, 192)(129, 177, 143, 191)(134, 182, 140, 188)(138, 186, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 118)(8, 124)(9, 117)(10, 98)(11, 121)(12, 132)(13, 133)(14, 99)(15, 115)(16, 137)(17, 102)(18, 107)(19, 119)(20, 103)(21, 106)(22, 101)(23, 122)(24, 138)(25, 134)(26, 111)(27, 128)(28, 139)(29, 136)(30, 104)(31, 123)(32, 143)(33, 135)(34, 142)(35, 125)(36, 110)(37, 129)(38, 114)(39, 109)(40, 141)(41, 120)(42, 112)(43, 126)(44, 144)(45, 131)(46, 140)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1071
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1081 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^4, Y1 * Y3^-1 * Y1^-2 * Y3^-1, (Y2 * Y1)^3, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 18, 66, 5, 53)(3, 51, 11, 59, 25, 73, 30, 78, 31, 79, 13, 61)(4, 52, 15, 63, 10, 58, 6, 54, 19, 67, 9, 57)(8, 56, 21, 69, 39, 87, 36, 84, 43, 91, 23, 71)(12, 60, 29, 77, 28, 76, 14, 62, 32, 80, 27, 75)(17, 65, 34, 82, 38, 86, 20, 68, 37, 85, 26, 74)(22, 70, 42, 90, 41, 89, 24, 72, 44, 92, 40, 88)(33, 81, 45, 93, 48, 96, 35, 83, 46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 113, 161)(102, 150, 110, 158)(103, 151, 116, 164)(105, 153, 118, 166)(106, 154, 120, 168)(107, 155, 122, 170)(109, 157, 117, 165)(111, 159, 129, 177)(112, 160, 126, 174)(114, 162, 132, 180)(115, 163, 131, 179)(119, 167, 133, 181)(121, 169, 139, 187)(123, 171, 141, 189)(124, 172, 142, 190)(125, 173, 136, 184)(127, 175, 134, 182)(128, 176, 137, 185)(130, 178, 135, 183)(138, 186, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 111)(6, 97)(7, 115)(8, 118)(9, 114)(10, 98)(11, 123)(12, 126)(13, 125)(14, 99)(15, 103)(16, 102)(17, 129)(18, 106)(19, 101)(20, 131)(21, 136)(22, 132)(23, 138)(24, 104)(25, 128)(26, 141)(27, 127)(28, 107)(29, 121)(30, 110)(31, 124)(32, 109)(33, 116)(34, 143)(35, 113)(36, 120)(37, 144)(38, 142)(39, 140)(40, 139)(41, 117)(42, 135)(43, 137)(44, 119)(45, 134)(46, 122)(47, 133)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1062
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1082 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3^-2 * Y1, Y1 * Y3 * Y1^-1 * Y3 * Y1, Y1 * Y3 * Y1 * Y3 * Y2, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y1^6, (Y3^-2 * Y2)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 26, 74, 21, 69, 5, 53)(3, 51, 11, 59, 35, 83, 41, 89, 40, 88, 13, 61)(4, 52, 15, 63, 10, 58, 33, 81, 45, 93, 18, 66)(6, 54, 23, 71, 31, 79, 38, 86, 20, 68, 25, 73)(8, 56, 29, 77, 48, 96, 46, 94, 44, 92, 17, 65)(9, 57, 14, 62, 28, 76, 42, 90, 16, 64, 22, 70)(12, 60, 37, 85, 34, 82, 24, 72, 47, 95, 30, 78)(19, 67, 43, 91, 32, 80, 27, 75, 39, 87, 36, 84)(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, 121, 169)(106, 154, 130, 178)(107, 155, 132, 180)(108, 156, 134, 182)(109, 157, 125, 173)(110, 158, 129, 177)(111, 159, 119, 167)(113, 161, 135, 183)(114, 162, 126, 174)(116, 164, 141, 189)(117, 165, 142, 190)(118, 166, 143, 191)(122, 170, 137, 185)(124, 172, 133, 181)(127, 175, 138, 186)(128, 176, 136, 184)(131, 179, 140, 188)(139, 187, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 119)(8, 126)(9, 128)(10, 98)(11, 121)(12, 135)(13, 118)(14, 99)(15, 115)(16, 137)(17, 102)(18, 117)(19, 133)(20, 109)(21, 138)(22, 101)(23, 131)(24, 139)(25, 142)(26, 129)(27, 143)(28, 103)(29, 111)(30, 136)(31, 104)(32, 106)(33, 144)(34, 107)(35, 124)(36, 114)(37, 125)(38, 122)(39, 110)(40, 127)(41, 120)(42, 132)(43, 112)(44, 141)(45, 123)(46, 130)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1067
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1083 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y3, Y1^-1 * Y3^-1 * Y2 * Y1^-1, (Y2^-1 * Y3)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y2^-1 * Y1^2 * Y3, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 4, 52, 14, 62)(6, 54, 15, 63, 7, 55, 16, 64)(9, 57, 17, 65, 10, 58, 18, 66)(11, 59, 19, 67, 12, 60, 20, 68)(21, 69, 35, 83, 22, 70, 36, 84)(23, 71, 37, 85, 24, 72, 38, 86)(25, 73, 39, 87, 26, 74, 40, 88)(27, 75, 29, 77, 28, 76, 30, 78)(31, 79, 41, 89, 32, 80, 42, 90)(33, 81, 43, 91, 34, 82, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 103, 151, 104, 152, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 101, 149, 106, 154, 107, 155)(109, 157, 117, 165, 120, 168, 110, 158, 118, 166, 119, 167)(111, 159, 121, 169, 124, 172, 112, 160, 122, 170, 123, 171)(113, 161, 125, 173, 128, 176, 114, 162, 126, 174, 127, 175)(115, 163, 129, 177, 132, 180, 116, 164, 130, 178, 131, 179)(133, 181, 141, 189, 135, 183, 134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187, 138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 105)(6, 104)(7, 97)(8, 99)(9, 107)(10, 108)(11, 101)(12, 98)(13, 118)(14, 117)(15, 122)(16, 121)(17, 126)(18, 125)(19, 130)(20, 129)(21, 119)(22, 120)(23, 110)(24, 109)(25, 123)(26, 124)(27, 112)(28, 111)(29, 127)(30, 128)(31, 114)(32, 113)(33, 131)(34, 132)(35, 116)(36, 115)(37, 142)(38, 141)(39, 133)(40, 134)(41, 144)(42, 143)(43, 137)(44, 138)(45, 136)(46, 135)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1057
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1084 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y3^3, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 31, 79, 14, 62)(4, 52, 16, 64, 35, 83, 17, 65)(6, 54, 20, 68, 28, 76, 10, 58)(7, 55, 21, 69, 26, 74, 9, 57)(11, 59, 29, 77, 40, 88, 23, 71)(12, 60, 30, 78, 38, 86, 22, 70)(15, 63, 27, 75, 39, 87, 32, 80)(18, 66, 25, 73, 42, 90, 36, 84)(19, 67, 24, 72, 41, 89, 37, 85)(33, 81, 46, 94, 47, 95, 44, 92)(34, 82, 45, 93, 48, 96, 43, 91)(97, 145, 99, 147, 103, 151, 111, 159, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 123, 171, 106, 154, 107, 155)(101, 149, 114, 162, 109, 157, 128, 176, 115, 163, 112, 160)(104, 152, 118, 166, 121, 169, 135, 183, 119, 167, 120, 168)(110, 158, 129, 177, 117, 165, 113, 161, 130, 178, 116, 164)(122, 170, 139, 187, 126, 174, 124, 172, 140, 188, 125, 173)(127, 175, 133, 181, 142, 190, 131, 179, 132, 180, 141, 189)(134, 182, 143, 191, 138, 186, 136, 184, 144, 192, 137, 185)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 115)(6, 111)(7, 97)(8, 119)(9, 107)(10, 108)(11, 123)(12, 98)(13, 101)(14, 130)(15, 99)(16, 128)(17, 129)(18, 112)(19, 109)(20, 113)(21, 110)(22, 120)(23, 121)(24, 135)(25, 104)(26, 140)(27, 105)(28, 139)(29, 124)(30, 122)(31, 132)(32, 114)(33, 116)(34, 117)(35, 133)(36, 142)(37, 141)(38, 144)(39, 118)(40, 143)(41, 136)(42, 134)(43, 125)(44, 126)(45, 131)(46, 127)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1051
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y2, Y1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2^-1, Y1^4, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^4, (Y1^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 30, 78, 12, 60)(4, 52, 15, 63, 29, 77, 11, 59)(6, 54, 17, 65, 35, 83, 20, 68)(7, 55, 16, 64, 34, 82, 21, 69)(9, 57, 26, 74, 42, 90, 25, 73)(10, 58, 28, 76, 41, 89, 24, 72)(14, 62, 27, 75, 39, 87, 33, 81)(18, 66, 23, 71, 40, 88, 36, 84)(19, 67, 22, 70, 38, 86, 37, 85)(31, 79, 45, 93, 47, 95, 44, 92)(32, 80, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 103, 151, 110, 158, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 123, 171, 106, 154, 107, 155)(101, 149, 112, 160, 115, 163, 129, 177, 113, 161, 114, 162)(104, 152, 118, 166, 121, 169, 135, 183, 119, 167, 120, 168)(109, 157, 127, 175, 117, 165, 111, 159, 128, 176, 116, 164)(122, 170, 139, 187, 126, 174, 124, 172, 140, 188, 125, 173)(130, 178, 142, 190, 133, 181, 131, 179, 141, 189, 132, 180)(134, 182, 143, 191, 138, 186, 136, 184, 144, 192, 137, 185)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 113)(6, 110)(7, 97)(8, 119)(9, 107)(10, 108)(11, 123)(12, 98)(13, 128)(14, 99)(15, 127)(16, 114)(17, 115)(18, 129)(19, 101)(20, 111)(21, 109)(22, 120)(23, 121)(24, 135)(25, 104)(26, 140)(27, 105)(28, 139)(29, 124)(30, 122)(31, 116)(32, 117)(33, 112)(34, 141)(35, 142)(36, 131)(37, 130)(38, 144)(39, 118)(40, 143)(41, 136)(42, 134)(43, 125)(44, 126)(45, 133)(46, 132)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1055
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1 * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y1^-2 * Y2^3, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, (Y2^-2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 24, 72, 15, 63)(4, 52, 17, 65, 29, 77, 19, 67)(6, 54, 9, 57, 13, 61, 20, 68)(7, 55, 26, 74, 30, 78, 27, 75)(10, 58, 18, 66, 21, 69, 33, 81)(12, 60, 25, 73, 22, 70, 35, 83)(14, 62, 36, 84, 48, 96, 39, 87)(16, 64, 32, 80, 43, 91, 41, 89)(23, 71, 45, 93, 37, 85, 42, 90)(28, 76, 31, 79, 47, 95, 46, 94)(34, 82, 38, 86, 40, 88, 44, 92)(97, 145, 99, 147, 109, 157, 104, 152, 120, 168, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 116, 164, 107, 155)(100, 148, 114, 162, 139, 187, 125, 173, 129, 177, 112, 160)(103, 151, 119, 167, 143, 191, 126, 174, 133, 181, 124, 172)(106, 154, 115, 163, 137, 185, 117, 165, 113, 161, 128, 176)(108, 156, 130, 178, 135, 183, 118, 166, 136, 184, 132, 180)(110, 158, 134, 182, 121, 169, 144, 192, 140, 188, 131, 179)(122, 170, 127, 175, 138, 186, 123, 171, 142, 190, 141, 189)
	L = (1, 100)(2, 106)(3, 110)(4, 103)(5, 117)(6, 119)(7, 97)(8, 125)(9, 127)(10, 108)(11, 130)(12, 98)(13, 133)(14, 112)(15, 136)(16, 99)(17, 138)(18, 140)(19, 141)(20, 142)(21, 118)(22, 101)(23, 121)(24, 144)(25, 102)(26, 111)(27, 107)(28, 114)(29, 126)(30, 104)(31, 128)(32, 105)(33, 134)(34, 123)(35, 109)(36, 115)(37, 131)(38, 143)(39, 113)(40, 122)(41, 116)(42, 135)(43, 120)(44, 124)(45, 132)(46, 137)(47, 129)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1058
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1087 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^3 * Y1^-1, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1, (Y3^-1 * Y2^-2)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64)(4, 52, 12, 60, 29, 77, 19, 67)(6, 54, 23, 71, 14, 62, 25, 73)(7, 55, 10, 58, 30, 78, 21, 69)(9, 57, 31, 79, 20, 68, 15, 63)(11, 59, 34, 82, 22, 70, 28, 76)(17, 65, 32, 80, 45, 93, 43, 91)(18, 66, 36, 84, 44, 92, 38, 86)(24, 72, 42, 90, 39, 87, 37, 85)(27, 75, 33, 81, 40, 88, 48, 96)(35, 83, 41, 89, 47, 95, 46, 94)(97, 145, 99, 147, 110, 158, 104, 152, 122, 170, 102, 150)(98, 146, 105, 153, 118, 166, 101, 149, 116, 164, 107, 155)(100, 148, 114, 162, 141, 189, 125, 173, 140, 188, 113, 161)(103, 151, 120, 168, 130, 178, 126, 174, 135, 183, 124, 172)(106, 154, 129, 177, 139, 187, 117, 165, 144, 192, 128, 176)(108, 156, 131, 179, 121, 169, 115, 163, 143, 191, 119, 167)(109, 157, 133, 181, 132, 180, 112, 160, 138, 186, 134, 182)(111, 159, 137, 185, 123, 171, 127, 175, 142, 190, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 117)(6, 120)(7, 97)(8, 125)(9, 109)(10, 108)(11, 131)(12, 98)(13, 128)(14, 135)(15, 113)(16, 139)(17, 99)(18, 142)(19, 101)(20, 112)(21, 115)(22, 143)(23, 129)(24, 123)(25, 144)(26, 127)(27, 102)(28, 114)(29, 126)(30, 104)(31, 141)(32, 105)(33, 138)(34, 140)(35, 132)(36, 107)(37, 121)(38, 118)(39, 136)(40, 110)(41, 130)(42, 119)(43, 116)(44, 137)(45, 122)(46, 124)(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) :: { ( 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 E21.1050
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-1 * Y1^-2 * Y3, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^2 * Y2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, (Y2^-1 * Y3^-1 * Y2^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 35, 83, 16, 64)(4, 52, 17, 65, 27, 75, 19, 67)(6, 54, 22, 70, 7, 55, 24, 72)(9, 57, 29, 77, 41, 89, 18, 66)(10, 58, 30, 78, 34, 82, 14, 62)(11, 59, 25, 73, 12, 60, 26, 74)(15, 63, 33, 81, 28, 76, 32, 80)(20, 68, 46, 94, 21, 69, 48, 96)(23, 71, 42, 90, 40, 88, 36, 84)(31, 79, 39, 87, 47, 95, 45, 93)(37, 85, 44, 92, 43, 91, 38, 86)(97, 145, 99, 147, 110, 158, 134, 182, 121, 169, 102, 150)(98, 146, 105, 153, 112, 160, 133, 181, 128, 176, 107, 155)(100, 148, 114, 162, 140, 188, 142, 190, 124, 172, 104, 152)(101, 149, 106, 154, 115, 163, 139, 187, 118, 166, 116, 164)(103, 151, 119, 167, 144, 192, 126, 174, 135, 183, 123, 171)(108, 156, 127, 175, 120, 168, 109, 157, 132, 180, 130, 178)(111, 159, 136, 184, 122, 170, 125, 173, 141, 189, 131, 179)(113, 161, 138, 186, 137, 185, 117, 165, 143, 191, 129, 177)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 105)(6, 119)(7, 97)(8, 99)(9, 117)(10, 108)(11, 127)(12, 98)(13, 133)(14, 135)(15, 104)(16, 132)(17, 139)(18, 141)(19, 138)(20, 143)(21, 101)(22, 109)(23, 122)(24, 116)(25, 125)(26, 102)(27, 114)(28, 136)(29, 140)(30, 134)(31, 129)(32, 113)(33, 107)(34, 115)(35, 110)(36, 137)(37, 118)(38, 142)(39, 131)(40, 144)(41, 112)(42, 130)(43, 128)(44, 121)(45, 123)(46, 126)(47, 120)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1052
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, Y1^2 * Y2 * Y3^-1, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-2)^2, Y2^6, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 35, 83, 16, 64)(4, 52, 17, 65, 27, 75, 19, 67)(6, 54, 22, 70, 7, 55, 24, 72)(9, 57, 14, 62, 38, 86, 29, 77)(10, 58, 18, 66, 34, 82, 30, 78)(11, 59, 31, 79, 12, 60, 33, 81)(15, 63, 41, 89, 28, 76, 43, 91)(20, 68, 26, 74, 21, 69, 25, 73)(23, 71, 37, 85, 42, 90, 45, 93)(32, 80, 40, 88, 48, 96, 47, 95)(36, 84, 39, 87, 44, 92, 46, 94)(97, 145, 99, 147, 110, 158, 135, 183, 121, 169, 102, 150)(98, 146, 105, 153, 113, 161, 140, 188, 120, 168, 107, 155)(100, 148, 114, 162, 142, 190, 129, 177, 124, 172, 104, 152)(101, 149, 106, 154, 109, 157, 132, 180, 137, 185, 116, 164)(103, 151, 119, 167, 127, 175, 125, 173, 136, 184, 123, 171)(108, 156, 128, 176, 139, 187, 115, 163, 141, 189, 130, 178)(111, 159, 138, 186, 122, 170, 126, 174, 143, 191, 131, 179)(112, 160, 133, 181, 134, 182, 117, 165, 144, 192, 118, 166)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 105)(6, 119)(7, 97)(8, 99)(9, 117)(10, 108)(11, 128)(12, 98)(13, 133)(14, 136)(15, 104)(16, 132)(17, 141)(18, 143)(19, 140)(20, 144)(21, 101)(22, 107)(23, 122)(24, 112)(25, 126)(26, 102)(27, 114)(28, 138)(29, 135)(30, 142)(31, 124)(32, 118)(33, 125)(34, 109)(35, 110)(36, 120)(37, 130)(38, 113)(39, 129)(40, 131)(41, 115)(42, 127)(43, 116)(44, 137)(45, 134)(46, 121)(47, 123)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1056
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y2, Y1^4, Y1^-2 * Y3^-3, Y1 * Y3 * Y1 * Y2^-1 * Y3^-1, Y2^-2 * Y1^2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-2 * Y2^-1)^2, (Y1^-1 * Y2^-1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 25, 73, 15, 63)(4, 52, 17, 65, 30, 78, 20, 68)(6, 54, 9, 57, 13, 61, 21, 69)(7, 55, 27, 75, 19, 67, 28, 76)(10, 58, 18, 66, 22, 70, 33, 81)(12, 60, 26, 74, 23, 71, 35, 83)(14, 62, 36, 84, 43, 91, 40, 88)(16, 64, 32, 80, 39, 87, 42, 90)(24, 72, 44, 92, 37, 85, 46, 94)(29, 77, 31, 79, 45, 93, 47, 95)(34, 82, 38, 86, 41, 89, 48, 96)(97, 145, 99, 147, 109, 157, 104, 152, 121, 169, 102, 150)(98, 146, 105, 153, 111, 159, 101, 149, 117, 165, 107, 155)(100, 148, 114, 162, 135, 183, 126, 174, 129, 177, 112, 160)(103, 151, 120, 168, 141, 189, 115, 163, 133, 181, 125, 173)(106, 154, 116, 164, 138, 186, 118, 166, 113, 161, 128, 176)(108, 156, 130, 178, 136, 184, 119, 167, 137, 185, 132, 180)(110, 158, 134, 182, 122, 170, 139, 187, 144, 192, 131, 179)(123, 171, 127, 175, 142, 190, 124, 172, 143, 191, 140, 188)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 118)(6, 120)(7, 97)(8, 126)(9, 127)(10, 119)(11, 130)(12, 98)(13, 133)(14, 135)(15, 137)(16, 99)(17, 140)(18, 134)(19, 104)(20, 142)(21, 143)(22, 108)(23, 101)(24, 131)(25, 139)(26, 102)(27, 111)(28, 107)(29, 129)(30, 103)(31, 138)(32, 105)(33, 144)(34, 123)(35, 109)(36, 113)(37, 122)(38, 125)(39, 121)(40, 116)(41, 124)(42, 117)(43, 112)(44, 136)(45, 114)(46, 132)(47, 128)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1060
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1091 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y1 * Y3^3 * Y1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1, Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1, (Y3^-1 * Y2^-2)^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, 30, 78, 20, 68)(6, 54, 24, 72, 14, 62, 26, 74)(7, 55, 10, 58, 19, 67, 22, 70)(9, 57, 15, 63, 21, 69, 31, 79)(11, 59, 29, 77, 23, 71, 35, 83)(17, 65, 32, 80, 41, 89, 43, 91)(18, 66, 36, 84, 45, 93, 44, 92)(25, 73, 37, 85, 38, 86, 42, 90)(28, 76, 33, 81, 39, 87, 47, 95)(34, 82, 40, 88, 46, 94, 48, 96)(97, 145, 99, 147, 110, 158, 104, 152, 123, 171, 102, 150)(98, 146, 105, 153, 119, 167, 101, 149, 117, 165, 107, 155)(100, 148, 114, 162, 137, 185, 126, 174, 141, 189, 113, 161)(103, 151, 121, 169, 131, 179, 115, 163, 134, 182, 125, 173)(106, 154, 129, 177, 139, 187, 118, 166, 143, 191, 128, 176)(108, 156, 130, 178, 120, 168, 116, 164, 142, 190, 122, 170)(109, 157, 133, 181, 140, 188, 112, 160, 138, 186, 132, 180)(111, 159, 136, 184, 124, 172, 127, 175, 144, 192, 135, 183)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 121)(7, 97)(8, 126)(9, 112)(10, 116)(11, 130)(12, 98)(13, 128)(14, 134)(15, 137)(16, 139)(17, 99)(18, 136)(19, 104)(20, 101)(21, 109)(22, 108)(23, 142)(24, 129)(25, 135)(26, 143)(27, 127)(28, 102)(29, 141)(30, 103)(31, 113)(32, 105)(33, 138)(34, 140)(35, 114)(36, 107)(37, 120)(38, 124)(39, 110)(40, 125)(41, 123)(42, 122)(43, 117)(44, 119)(45, 144)(46, 132)(47, 133)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1053
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1092 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y2^-1 * Y1^2 * Y3^-2, Y1^-2 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^6, Y2^2 * Y1^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 12, 60, 27, 75, 15, 63)(4, 52, 17, 65, 29, 77, 20, 68)(6, 54, 10, 58, 19, 67, 25, 73)(7, 55, 28, 76, 13, 61, 21, 69)(9, 57, 14, 62, 36, 84, 31, 79)(11, 59, 26, 74, 33, 81, 35, 83)(16, 64, 32, 80, 37, 85, 40, 88)(18, 66, 22, 70, 43, 91, 42, 90)(23, 71, 45, 93, 47, 95, 30, 78)(24, 72, 44, 92, 39, 87, 41, 89)(34, 82, 38, 86, 46, 94, 48, 96)(97, 145, 99, 147, 109, 157, 133, 181, 122, 170, 102, 150)(98, 146, 105, 153, 111, 159, 136, 184, 118, 166, 107, 155)(100, 148, 114, 162, 104, 152, 126, 174, 127, 175, 112, 160)(101, 149, 117, 165, 143, 191, 128, 176, 106, 154, 116, 164)(103, 151, 120, 168, 141, 189, 115, 163, 134, 182, 125, 173)(108, 156, 130, 178, 124, 172, 129, 177, 137, 185, 121, 169)(110, 158, 135, 183, 123, 171, 139, 187, 144, 192, 131, 179)(113, 161, 140, 188, 138, 186, 119, 167, 142, 190, 132, 180)
	L = (1, 100)(2, 106)(3, 110)(4, 115)(5, 118)(6, 120)(7, 97)(8, 122)(9, 119)(10, 129)(11, 130)(12, 98)(13, 134)(14, 104)(15, 137)(16, 99)(17, 128)(18, 135)(19, 133)(20, 142)(21, 108)(22, 113)(23, 101)(24, 131)(25, 143)(26, 139)(27, 102)(28, 116)(29, 127)(30, 103)(31, 144)(32, 105)(33, 136)(34, 138)(35, 109)(36, 107)(37, 126)(38, 123)(39, 125)(40, 117)(41, 132)(42, 111)(43, 112)(44, 124)(45, 114)(46, 121)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1054
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = A4 : C4 (small group id <48, 30>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y2)^2, Y1^-2 * Y2^-2 * Y3^-1, Y1^-2 * Y2 * Y3^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^3 * Y2^-3, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 16, 64)(4, 52, 11, 59, 29, 77, 20, 68)(6, 54, 24, 72, 19, 67, 22, 70)(7, 55, 9, 57, 14, 62, 28, 76)(10, 58, 18, 66, 36, 84, 33, 81)(12, 60, 30, 78, 31, 79, 35, 83)(15, 63, 21, 69, 45, 93, 42, 90)(17, 65, 32, 80, 38, 86, 44, 92)(23, 71, 40, 88, 47, 95, 26, 74)(25, 73, 37, 85, 41, 89, 46, 94)(34, 82, 39, 87, 43, 91, 48, 96)(97, 145, 99, 147, 110, 158, 134, 182, 122, 170, 102, 150)(98, 146, 105, 153, 127, 175, 140, 188, 118, 166, 107, 155)(100, 148, 114, 162, 104, 152, 126, 174, 141, 189, 113, 161)(101, 149, 117, 165, 109, 157, 128, 176, 106, 154, 119, 167)(103, 151, 121, 169, 131, 179, 115, 163, 135, 183, 125, 173)(108, 156, 130, 178, 138, 186, 116, 164, 142, 190, 132, 180)(111, 159, 137, 185, 123, 171, 129, 177, 144, 192, 136, 184)(112, 160, 139, 187, 124, 172, 143, 191, 133, 181, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 121)(7, 97)(8, 122)(9, 112)(10, 116)(11, 130)(12, 98)(13, 133)(14, 135)(15, 104)(16, 101)(17, 99)(18, 137)(19, 134)(20, 140)(21, 108)(22, 143)(23, 139)(24, 127)(25, 136)(26, 129)(27, 102)(28, 107)(29, 141)(30, 103)(31, 142)(32, 105)(33, 113)(34, 120)(35, 114)(36, 109)(37, 138)(38, 126)(39, 123)(40, 110)(41, 125)(42, 119)(43, 132)(44, 117)(45, 144)(46, 124)(47, 128)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1059
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 8, 56)(7, 55, 15, 63)(9, 57, 13, 61)(10, 58, 18, 66)(12, 60, 20, 68)(14, 62, 22, 70)(16, 64, 24, 72)(17, 65, 25, 73)(19, 67, 27, 75)(21, 69, 29, 77)(23, 71, 31, 79)(26, 74, 34, 82)(28, 76, 36, 84)(30, 78, 38, 86)(32, 80, 40, 88)(33, 81, 41, 89)(35, 83, 39, 87)(37, 85, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 109, 157, 104, 152)(100, 148, 106, 154, 113, 161, 108, 156)(103, 151, 110, 158, 117, 165, 112, 160)(107, 155, 114, 162, 121, 169, 116, 164)(111, 159, 118, 166, 125, 173, 120, 168)(115, 163, 122, 170, 129, 177, 124, 172)(119, 167, 126, 174, 133, 181, 128, 176)(123, 171, 130, 178, 137, 185, 132, 180)(127, 175, 134, 182, 140, 188, 136, 184)(131, 179, 138, 186, 143, 191, 139, 187)(135, 183, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 108)(6, 110)(7, 98)(8, 112)(9, 113)(10, 99)(11, 115)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 105)(18, 122)(19, 107)(20, 124)(21, 109)(22, 126)(23, 111)(24, 128)(25, 129)(26, 114)(27, 131)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 121)(34, 138)(35, 123)(36, 139)(37, 125)(38, 141)(39, 127)(40, 142)(41, 143)(42, 130)(43, 132)(44, 144)(45, 134)(46, 136)(47, 137)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1105
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 11, 59)(5, 53, 6, 54)(7, 55, 15, 63)(9, 57, 13, 61)(10, 58, 18, 66)(12, 60, 19, 67)(14, 62, 22, 70)(16, 64, 23, 71)(17, 65, 25, 73)(20, 68, 28, 76)(21, 69, 29, 77)(24, 72, 32, 80)(26, 74, 34, 82)(27, 75, 35, 83)(30, 78, 38, 86)(31, 79, 39, 87)(33, 81, 41, 89)(36, 84, 40, 88)(37, 85, 44, 92)(42, 90, 46, 94)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 109, 157, 104, 152)(100, 148, 106, 154, 113, 161, 108, 156)(103, 151, 110, 158, 117, 165, 112, 160)(107, 155, 115, 163, 121, 169, 114, 162)(111, 159, 119, 167, 125, 173, 118, 166)(116, 164, 123, 171, 129, 177, 122, 170)(120, 168, 127, 175, 133, 181, 126, 174)(124, 172, 130, 178, 137, 185, 131, 179)(128, 176, 134, 182, 140, 188, 135, 183)(132, 180, 138, 186, 143, 191, 139, 187)(136, 184, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 108)(6, 110)(7, 98)(8, 112)(9, 113)(10, 99)(11, 116)(12, 101)(13, 117)(14, 102)(15, 120)(16, 104)(17, 105)(18, 122)(19, 123)(20, 107)(21, 109)(22, 126)(23, 127)(24, 111)(25, 129)(26, 114)(27, 115)(28, 132)(29, 133)(30, 118)(31, 119)(32, 136)(33, 121)(34, 138)(35, 139)(36, 124)(37, 125)(38, 141)(39, 142)(40, 128)(41, 143)(42, 130)(43, 131)(44, 144)(45, 134)(46, 135)(47, 137)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1107
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y2)^2, Y2^4, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 16, 64)(11, 59, 17, 65)(13, 61, 19, 67)(21, 69, 31, 79)(22, 70, 33, 81)(23, 71, 34, 82)(24, 72, 32, 80)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 38, 86)(28, 76, 39, 87)(29, 77, 37, 85)(30, 78, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 112, 160, 104, 152)(100, 148, 107, 155, 120, 168, 109, 157)(103, 151, 113, 161, 125, 173, 115, 163)(105, 153, 117, 165, 110, 158, 119, 167)(108, 156, 118, 166, 128, 176, 121, 169)(111, 159, 122, 170, 116, 164, 124, 172)(114, 162, 123, 171, 133, 181, 126, 174)(127, 175, 137, 185, 130, 178, 139, 187)(129, 177, 138, 186, 131, 179, 140, 188)(132, 180, 141, 189, 135, 183, 143, 191)(134, 182, 142, 190, 136, 184, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 113)(7, 98)(8, 115)(9, 118)(10, 120)(11, 99)(12, 119)(13, 101)(14, 121)(15, 123)(16, 125)(17, 102)(18, 124)(19, 104)(20, 126)(21, 128)(22, 105)(23, 108)(24, 106)(25, 110)(26, 133)(27, 111)(28, 114)(29, 112)(30, 116)(31, 138)(32, 117)(33, 139)(34, 140)(35, 137)(36, 142)(37, 122)(38, 143)(39, 144)(40, 141)(41, 131)(42, 127)(43, 129)(44, 130)(45, 136)(46, 132)(47, 134)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1104
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, Y2^4, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 16, 64)(11, 59, 19, 67)(13, 61, 17, 65)(21, 69, 31, 79)(22, 70, 32, 80)(23, 71, 34, 82)(24, 72, 33, 81)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 37, 85)(28, 76, 39, 87)(29, 77, 38, 86)(30, 78, 40, 88)(41, 89, 47, 95)(42, 90, 46, 94)(43, 91, 45, 93)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 112, 160, 104, 152)(100, 148, 107, 155, 120, 168, 109, 157)(103, 151, 113, 161, 125, 173, 115, 163)(105, 153, 117, 165, 110, 158, 119, 167)(108, 156, 121, 169, 129, 177, 118, 166)(111, 159, 122, 170, 116, 164, 124, 172)(114, 162, 126, 174, 134, 182, 123, 171)(127, 175, 137, 185, 130, 178, 139, 187)(128, 176, 140, 188, 131, 179, 138, 186)(132, 180, 141, 189, 135, 183, 143, 191)(133, 181, 144, 192, 136, 184, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 109)(6, 113)(7, 98)(8, 115)(9, 118)(10, 120)(11, 99)(12, 117)(13, 101)(14, 121)(15, 123)(16, 125)(17, 102)(18, 122)(19, 104)(20, 126)(21, 108)(22, 105)(23, 129)(24, 106)(25, 110)(26, 114)(27, 111)(28, 134)(29, 112)(30, 116)(31, 138)(32, 137)(33, 119)(34, 140)(35, 139)(36, 142)(37, 141)(38, 124)(39, 144)(40, 143)(41, 128)(42, 127)(43, 131)(44, 130)(45, 133)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1106
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, Y2^4, (Y2^-1 * Y1)^2, Y2 * R * Y2^-2 * R * Y2, (Y2^-1 * Y3^-1 * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 8, 56)(5, 53, 7, 55)(6, 54, 10, 58)(11, 59, 18, 66)(12, 60, 23, 71)(13, 61, 22, 70)(14, 62, 21, 69)(15, 63, 20, 68)(16, 64, 19, 67)(17, 65, 24, 72)(25, 73, 32, 80)(26, 74, 33, 81)(27, 75, 38, 86)(28, 76, 37, 85)(29, 77, 36, 84)(30, 78, 35, 83)(31, 79, 34, 82)(39, 87, 43, 91)(40, 88, 44, 92)(41, 89, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 109, 157, 121, 169, 111, 159)(102, 150, 108, 156, 122, 170, 112, 160)(104, 152, 116, 164, 128, 176, 118, 166)(106, 154, 115, 163, 129, 177, 119, 167)(110, 158, 124, 172, 135, 183, 126, 174)(113, 161, 123, 171, 136, 184, 127, 175)(117, 165, 131, 179, 139, 187, 133, 181)(120, 168, 130, 178, 140, 188, 134, 182)(125, 173, 137, 185, 143, 191, 138, 186)(132, 180, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 115)(8, 117)(9, 119)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 101)(16, 127)(17, 102)(18, 128)(19, 130)(20, 103)(21, 132)(22, 105)(23, 134)(24, 106)(25, 135)(26, 107)(27, 137)(28, 109)(29, 113)(30, 111)(31, 138)(32, 139)(33, 114)(34, 141)(35, 116)(36, 120)(37, 118)(38, 142)(39, 143)(40, 122)(41, 124)(42, 126)(43, 144)(44, 129)(45, 131)(46, 133)(47, 136)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1108
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 16, 64)(12, 60, 21, 69)(13, 61, 22, 70)(17, 65, 25, 73)(18, 66, 26, 74)(23, 71, 31, 79)(24, 72, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 44, 92)(40, 88, 43, 91)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 112, 160, 105, 153)(100, 148, 109, 157, 102, 150, 108, 156)(104, 152, 114, 162, 106, 154, 113, 161)(110, 158, 118, 166, 111, 159, 117, 165)(115, 163, 122, 170, 116, 164, 121, 169)(119, 167, 125, 173, 120, 168, 126, 174)(123, 171, 129, 177, 124, 172, 130, 178)(127, 175, 133, 181, 128, 176, 134, 182)(131, 179, 137, 185, 132, 180, 138, 186)(135, 183, 142, 190, 136, 184, 141, 189)(139, 187, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 107)(5, 109)(6, 97)(7, 113)(8, 112)(9, 114)(10, 98)(11, 102)(12, 101)(13, 99)(14, 119)(15, 120)(16, 106)(17, 105)(18, 103)(19, 123)(20, 124)(21, 125)(22, 126)(23, 111)(24, 110)(25, 129)(26, 130)(27, 116)(28, 115)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1110
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-2 * Y2, Y2^4, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
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, 19, 67)(13, 61, 21, 69)(14, 62, 20, 68)(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, 45, 93)(42, 90, 48, 96)(43, 91, 47, 95)(44, 92, 46, 94)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 110, 158, 102, 150, 109, 157)(104, 152, 117, 165, 106, 154, 116, 164)(107, 155, 121, 169, 112, 160, 123, 171)(111, 159, 122, 170, 113, 161, 124, 172)(114, 162, 125, 173, 119, 167, 127, 175)(118, 166, 126, 174, 120, 168, 128, 176)(129, 177, 137, 185, 131, 179, 139, 187)(130, 178, 138, 186, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 143, 191)(134, 182, 142, 190, 136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 116)(8, 115)(9, 117)(10, 98)(11, 122)(12, 102)(13, 101)(14, 99)(15, 123)(16, 124)(17, 121)(18, 126)(19, 106)(20, 105)(21, 103)(22, 127)(23, 128)(24, 125)(25, 111)(26, 112)(27, 113)(28, 107)(29, 118)(30, 119)(31, 120)(32, 114)(33, 138)(34, 139)(35, 140)(36, 137)(37, 142)(38, 143)(39, 144)(40, 141)(41, 130)(42, 131)(43, 132)(44, 129)(45, 134)(46, 135)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1109
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1)^2, Y2^-2 * Y3^-1 * Y1 * Y3 * Y1, (Y3^-1 * Y2^-1 * Y1)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^2 * Y2^-1 * Y3^-4 * Y2^-1, (Y3^2 * Y1 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 18, 66)(8, 56, 23, 71)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 26, 74)(13, 61, 25, 73)(15, 63, 24, 72)(16, 64, 22, 70)(17, 65, 21, 69)(19, 67, 28, 76)(29, 77, 37, 85)(30, 78, 38, 86)(31, 79, 39, 87)(32, 80, 44, 92)(33, 81, 41, 89)(34, 82, 42, 90)(35, 83, 43, 91)(36, 84, 40, 88)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 109, 157, 119, 167, 112, 160)(102, 150, 108, 156, 123, 171, 113, 161)(104, 152, 118, 166, 110, 158, 121, 169)(106, 154, 117, 165, 114, 162, 122, 170)(111, 159, 126, 174, 135, 183, 129, 177)(115, 163, 125, 173, 139, 187, 130, 178)(120, 168, 134, 182, 127, 175, 137, 185)(124, 172, 133, 181, 131, 179, 138, 186)(128, 176, 142, 190, 132, 180, 141, 189)(136, 184, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 117)(8, 120)(9, 122)(10, 98)(11, 119)(12, 125)(13, 99)(14, 127)(15, 128)(16, 101)(17, 130)(18, 116)(19, 102)(20, 110)(21, 133)(22, 103)(23, 135)(24, 136)(25, 105)(26, 138)(27, 107)(28, 106)(29, 141)(30, 109)(31, 140)(32, 139)(33, 112)(34, 142)(35, 114)(36, 115)(37, 143)(38, 118)(39, 132)(40, 131)(41, 121)(42, 144)(43, 123)(44, 124)(45, 129)(46, 126)(47, 137)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1111
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, (Y2, Y1), (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, Y2^4, Y2^2 * Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 6, 54, 11, 59)(4, 52, 15, 63, 21, 69, 12, 60)(7, 55, 18, 66, 22, 70, 10, 58)(13, 61, 27, 75, 17, 65, 24, 72)(14, 62, 26, 74, 19, 67, 23, 71)(16, 64, 28, 76, 37, 85, 31, 79)(20, 68, 25, 73, 38, 86, 34, 82)(29, 77, 40, 88, 33, 81, 43, 91)(30, 78, 39, 87, 35, 83, 42, 90)(32, 80, 41, 89, 36, 84, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 109, 157, 117, 165, 113, 161)(103, 151, 110, 158, 118, 166, 115, 163)(106, 154, 119, 167, 114, 162, 122, 170)(108, 156, 120, 168, 111, 159, 123, 171)(112, 160, 125, 173, 133, 181, 129, 177)(116, 164, 126, 174, 134, 182, 131, 179)(121, 169, 135, 183, 130, 178, 138, 186)(124, 172, 136, 184, 127, 175, 139, 187)(128, 176, 141, 189, 132, 180, 142, 190)(137, 185, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 106)(3, 109)(4, 112)(5, 114)(6, 113)(7, 97)(8, 117)(9, 119)(10, 121)(11, 122)(12, 98)(13, 125)(14, 99)(15, 101)(16, 128)(17, 129)(18, 130)(19, 102)(20, 103)(21, 133)(22, 104)(23, 135)(24, 105)(25, 137)(26, 138)(27, 107)(28, 108)(29, 141)(30, 110)(31, 111)(32, 134)(33, 142)(34, 140)(35, 115)(36, 116)(37, 132)(38, 118)(39, 143)(40, 120)(41, 127)(42, 144)(43, 123)(44, 124)(45, 131)(46, 126)(47, 139)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1103
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|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, (Y1^-1 * Y2)^2, Y3^4, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 16, 64, 5, 53)(3, 51, 11, 59, 25, 73, 32, 80, 19, 67, 8, 56)(4, 52, 14, 62, 29, 77, 33, 81, 20, 68, 9, 57)(6, 54, 17, 65, 31, 79, 34, 82, 21, 69, 10, 58)(12, 60, 22, 70, 35, 83, 43, 91, 39, 87, 26, 74)(13, 61, 23, 71, 36, 84, 44, 92, 40, 88, 27, 75)(15, 63, 24, 72, 37, 85, 45, 93, 42, 90, 30, 78)(28, 76, 41, 89, 47, 95, 48, 96, 46, 94, 38, 86)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 107, 155)(102, 150, 109, 157)(103, 151, 115, 163)(105, 153, 118, 166)(106, 154, 119, 167)(110, 158, 122, 170)(111, 159, 124, 172)(112, 160, 121, 169)(113, 161, 123, 171)(114, 162, 128, 176)(116, 164, 131, 179)(117, 165, 132, 180)(120, 168, 134, 182)(125, 173, 135, 183)(126, 174, 137, 185)(127, 175, 136, 184)(129, 177, 139, 187)(130, 178, 140, 188)(133, 181, 142, 190)(138, 186, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 110)(6, 97)(7, 116)(8, 118)(9, 120)(10, 98)(11, 122)(12, 124)(13, 99)(14, 126)(15, 102)(16, 125)(17, 101)(18, 129)(19, 131)(20, 133)(21, 103)(22, 134)(23, 104)(24, 106)(25, 135)(26, 137)(27, 107)(28, 109)(29, 138)(30, 113)(31, 112)(32, 139)(33, 141)(34, 114)(35, 142)(36, 115)(37, 117)(38, 119)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 130)(46, 132)(47, 136)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1102
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 18, 66, 13, 61)(4, 52, 9, 57, 19, 67, 15, 63)(6, 54, 10, 58, 20, 68, 16, 64)(11, 59, 21, 69, 32, 80, 27, 75)(12, 60, 22, 70, 33, 81, 28, 76)(14, 62, 23, 71, 34, 82, 30, 78)(17, 65, 24, 72, 35, 83, 31, 79)(25, 73, 36, 84, 43, 91, 40, 88)(26, 74, 37, 85, 44, 92, 41, 89)(29, 77, 38, 86, 45, 93, 42, 90)(39, 87, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 121, 169, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 132, 180, 120, 168, 106, 154)(100, 148, 110, 158, 125, 173, 135, 183, 122, 170, 108, 156)(101, 149, 109, 157, 123, 171, 136, 184, 127, 175, 112, 160)(103, 151, 114, 162, 128, 176, 139, 187, 131, 179, 116, 164)(105, 153, 119, 167, 134, 182, 142, 190, 133, 181, 118, 166)(111, 159, 126, 174, 138, 186, 143, 191, 137, 185, 124, 172)(115, 163, 130, 178, 141, 189, 144, 192, 140, 188, 129, 177)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 111)(6, 110)(7, 115)(8, 118)(9, 98)(10, 119)(11, 122)(12, 99)(13, 124)(14, 102)(15, 101)(16, 126)(17, 125)(18, 129)(19, 103)(20, 130)(21, 133)(22, 104)(23, 106)(24, 134)(25, 135)(26, 107)(27, 137)(28, 109)(29, 113)(30, 112)(31, 138)(32, 140)(33, 114)(34, 116)(35, 141)(36, 142)(37, 117)(38, 120)(39, 121)(40, 143)(41, 123)(42, 127)(43, 144)(44, 128)(45, 131)(46, 132)(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) :: { ( 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 E21.1096
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 10, 58, 18, 66, 13, 61)(4, 52, 9, 57, 19, 67, 15, 63)(6, 54, 8, 56, 20, 68, 16, 64)(11, 59, 24, 72, 32, 80, 27, 75)(12, 60, 23, 71, 33, 81, 28, 76)(14, 62, 22, 70, 34, 82, 30, 78)(17, 65, 21, 69, 35, 83, 31, 79)(25, 73, 36, 84, 43, 91, 40, 88)(26, 74, 38, 86, 44, 92, 41, 89)(29, 77, 37, 85, 45, 93, 42, 90)(39, 87, 46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 121, 169, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 132, 180, 120, 168, 106, 154)(100, 148, 110, 158, 125, 173, 135, 183, 122, 170, 108, 156)(101, 149, 112, 160, 127, 175, 136, 184, 123, 171, 109, 157)(103, 151, 114, 162, 128, 176, 139, 187, 131, 179, 116, 164)(105, 153, 119, 167, 134, 182, 142, 190, 133, 181, 118, 166)(111, 159, 124, 172, 137, 185, 143, 191, 138, 186, 126, 174)(115, 163, 130, 178, 141, 189, 144, 192, 140, 188, 129, 177)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 111)(6, 110)(7, 115)(8, 118)(9, 98)(10, 119)(11, 122)(12, 99)(13, 124)(14, 102)(15, 101)(16, 126)(17, 125)(18, 129)(19, 103)(20, 130)(21, 133)(22, 104)(23, 106)(24, 134)(25, 135)(26, 107)(27, 137)(28, 109)(29, 113)(30, 112)(31, 138)(32, 140)(33, 114)(34, 116)(35, 141)(36, 142)(37, 117)(38, 120)(39, 121)(40, 143)(41, 123)(42, 127)(43, 144)(44, 128)(45, 131)(46, 132)(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) :: { ( 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 E21.1094
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (Y2^-1 * Y1 * Y3)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 18, 66, 8, 56)(4, 52, 9, 57, 19, 67, 15, 63)(6, 54, 16, 64, 20, 68, 10, 58)(12, 60, 21, 69, 32, 80, 25, 73)(13, 61, 26, 74, 33, 81, 22, 70)(14, 62, 29, 77, 34, 82, 23, 71)(17, 65, 24, 72, 35, 83, 31, 79)(27, 75, 39, 87, 43, 91, 36, 84)(28, 76, 37, 85, 44, 92, 40, 88)(30, 78, 38, 86, 45, 93, 42, 90)(41, 89, 47, 95, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 123, 171, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 132, 180, 120, 168, 106, 154)(100, 148, 110, 158, 126, 174, 137, 185, 124, 172, 109, 157)(101, 149, 107, 155, 121, 169, 135, 183, 127, 175, 112, 160)(103, 151, 114, 162, 128, 176, 139, 187, 131, 179, 116, 164)(105, 153, 119, 167, 134, 182, 142, 190, 133, 181, 118, 166)(111, 159, 125, 173, 138, 186, 143, 191, 136, 184, 122, 170)(115, 163, 130, 178, 141, 189, 144, 192, 140, 188, 129, 177)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 110)(7, 115)(8, 118)(9, 98)(10, 119)(11, 122)(12, 124)(13, 99)(14, 102)(15, 101)(16, 125)(17, 126)(18, 129)(19, 103)(20, 130)(21, 133)(22, 104)(23, 106)(24, 134)(25, 136)(26, 107)(27, 137)(28, 108)(29, 112)(30, 113)(31, 138)(32, 140)(33, 114)(34, 116)(35, 141)(36, 142)(37, 117)(38, 120)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 131)(46, 132)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1097
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y1^4, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 18, 66, 10, 58)(4, 52, 9, 57, 19, 67, 15, 63)(6, 54, 16, 64, 20, 68, 8, 56)(12, 60, 24, 72, 32, 80, 26, 74)(13, 61, 25, 73, 33, 81, 23, 71)(14, 62, 29, 77, 34, 82, 22, 70)(17, 65, 21, 69, 35, 83, 31, 79)(27, 75, 40, 88, 43, 91, 36, 84)(28, 76, 38, 86, 44, 92, 39, 87)(30, 78, 37, 85, 45, 93, 42, 90)(41, 89, 47, 95, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 123, 171, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 132, 180, 120, 168, 106, 154)(100, 148, 110, 158, 126, 174, 137, 185, 124, 172, 109, 157)(101, 149, 112, 160, 127, 175, 136, 184, 122, 170, 107, 155)(103, 151, 114, 162, 128, 176, 139, 187, 131, 179, 116, 164)(105, 153, 119, 167, 134, 182, 142, 190, 133, 181, 118, 166)(111, 159, 121, 169, 135, 183, 143, 191, 138, 186, 125, 173)(115, 163, 130, 178, 141, 189, 144, 192, 140, 188, 129, 177)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 110)(7, 115)(8, 118)(9, 98)(10, 119)(11, 121)(12, 124)(13, 99)(14, 102)(15, 101)(16, 125)(17, 126)(18, 129)(19, 103)(20, 130)(21, 133)(22, 104)(23, 106)(24, 134)(25, 107)(26, 135)(27, 137)(28, 108)(29, 112)(30, 113)(31, 138)(32, 140)(33, 114)(34, 116)(35, 141)(36, 142)(37, 117)(38, 120)(39, 122)(40, 143)(41, 123)(42, 127)(43, 144)(44, 128)(45, 131)(46, 132)(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) :: { ( 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 E21.1095
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^2, (Y2^-1, Y3^-1), (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, (R * Y2)^2, (Y3^-1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 22, 70, 11, 59)(4, 52, 12, 60, 23, 71, 17, 65)(6, 54, 18, 66, 24, 72, 9, 57)(7, 55, 10, 58, 25, 73, 19, 67)(14, 62, 29, 77, 38, 86, 32, 80)(15, 63, 33, 81, 39, 87, 30, 78)(16, 64, 31, 79, 40, 88, 28, 76)(20, 68, 26, 74, 41, 89, 36, 84)(21, 69, 37, 85, 42, 90, 27, 75)(34, 82, 45, 93, 47, 95, 43, 91)(35, 83, 44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 110, 158, 130, 178, 116, 164, 102, 150)(98, 146, 105, 153, 122, 170, 139, 187, 125, 173, 107, 155)(100, 148, 111, 159, 131, 179, 117, 165, 103, 151, 112, 160)(101, 149, 114, 162, 132, 180, 141, 189, 128, 176, 109, 157)(104, 152, 118, 166, 134, 182, 143, 191, 137, 185, 120, 168)(106, 154, 123, 171, 140, 188, 126, 174, 108, 156, 124, 172)(113, 161, 127, 175, 115, 163, 133, 181, 142, 190, 129, 177)(119, 167, 135, 183, 144, 192, 138, 186, 121, 169, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 115)(6, 112)(7, 97)(8, 119)(9, 123)(10, 122)(11, 124)(12, 98)(13, 127)(14, 131)(15, 130)(16, 99)(17, 101)(18, 133)(19, 132)(20, 103)(21, 102)(22, 135)(23, 134)(24, 136)(25, 104)(26, 140)(27, 139)(28, 105)(29, 108)(30, 107)(31, 114)(32, 113)(33, 109)(34, 117)(35, 116)(36, 142)(37, 141)(38, 144)(39, 143)(40, 118)(41, 121)(42, 120)(43, 126)(44, 125)(45, 129)(46, 128)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1098
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3, (Y3 * Y2^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y1^4, (R * Y1)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 21, 69, 15, 63)(4, 52, 12, 60, 7, 55, 10, 58)(6, 54, 11, 59, 22, 70, 18, 66)(13, 61, 23, 71, 36, 84, 31, 79)(14, 62, 25, 73, 16, 64, 24, 72)(17, 65, 27, 75, 19, 67, 26, 74)(20, 68, 28, 76, 37, 85, 34, 82)(29, 77, 38, 86, 46, 94, 44, 92)(30, 78, 40, 88, 32, 80, 39, 87)(33, 81, 42, 90, 35, 83, 41, 89)(43, 91, 48, 96, 45, 93, 47, 95)(97, 145, 99, 147, 109, 157, 125, 173, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 134, 182, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 126, 174, 112, 160)(101, 149, 111, 159, 127, 175, 140, 188, 130, 178, 114, 162)(103, 151, 115, 163, 131, 179, 139, 187, 128, 176, 110, 158)(104, 152, 117, 165, 132, 180, 142, 190, 133, 181, 118, 166)(106, 154, 122, 170, 137, 185, 144, 192, 135, 183, 121, 169)(108, 156, 123, 171, 138, 186, 143, 191, 136, 184, 120, 168)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 126)(14, 117)(15, 121)(16, 99)(17, 102)(18, 122)(19, 118)(20, 129)(21, 112)(22, 113)(23, 135)(24, 111)(25, 105)(26, 107)(27, 114)(28, 137)(29, 139)(30, 132)(31, 136)(32, 109)(33, 133)(34, 138)(35, 116)(36, 128)(37, 131)(38, 143)(39, 127)(40, 119)(41, 130)(42, 124)(43, 142)(44, 144)(45, 125)(46, 141)(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) :: { ( 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 E21.1100
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y2^-1)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 21, 69, 15, 63)(4, 52, 12, 60, 7, 55, 10, 58)(6, 54, 9, 57, 22, 70, 18, 66)(13, 61, 28, 76, 36, 84, 31, 79)(14, 62, 26, 74, 16, 64, 27, 75)(17, 65, 24, 72, 19, 67, 25, 73)(20, 68, 23, 71, 37, 85, 34, 82)(29, 77, 38, 86, 46, 94, 44, 92)(30, 78, 42, 90, 32, 80, 41, 89)(33, 81, 40, 88, 35, 83, 39, 87)(43, 91, 48, 96, 45, 93, 47, 95)(97, 145, 99, 147, 109, 157, 125, 173, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 134, 182, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 126, 174, 112, 160)(101, 149, 114, 162, 130, 178, 140, 188, 127, 175, 111, 159)(103, 151, 115, 163, 131, 179, 139, 187, 128, 176, 110, 158)(104, 152, 117, 165, 132, 180, 142, 190, 133, 181, 118, 166)(106, 154, 122, 170, 137, 185, 144, 192, 135, 183, 121, 169)(108, 156, 123, 171, 138, 186, 143, 191, 136, 184, 120, 168)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 126)(14, 117)(15, 122)(16, 99)(17, 102)(18, 121)(19, 118)(20, 129)(21, 112)(22, 113)(23, 135)(24, 114)(25, 105)(26, 107)(27, 111)(28, 137)(29, 139)(30, 132)(31, 138)(32, 109)(33, 133)(34, 136)(35, 116)(36, 128)(37, 131)(38, 143)(39, 130)(40, 119)(41, 127)(42, 124)(43, 142)(44, 144)(45, 125)(46, 141)(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) :: { ( 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 E21.1099
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y1^4, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y3^-1 * Y2 * R * Y2^-1 * R * Y3^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^-2, Y1^-2 * Y2 * Y1^-2 * Y2^-1, Y2^6, (Y3 * Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^3, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-2 * Y2^2 * Y1^-1, Y2 * Y3^-3 * Y2 * Y3, Y2^2 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 27, 75, 15, 63)(4, 52, 12, 60, 28, 76, 19, 67)(6, 54, 9, 57, 29, 77, 20, 68)(7, 55, 10, 58, 30, 78, 21, 69)(13, 61, 37, 85, 18, 66, 40, 88)(14, 62, 38, 86, 17, 65, 39, 87)(16, 64, 36, 84, 22, 70, 33, 81)(23, 71, 31, 79, 26, 74, 35, 83)(24, 72, 32, 80, 25, 73, 34, 82)(41, 89, 45, 93, 44, 92, 48, 96)(42, 90, 47, 95, 43, 91, 46, 94)(97, 145, 99, 147, 109, 157, 137, 185, 119, 167, 102, 150)(98, 146, 105, 153, 127, 175, 141, 189, 133, 181, 107, 155)(100, 148, 113, 161, 138, 186, 120, 168, 126, 174, 112, 160)(101, 149, 116, 164, 131, 179, 144, 192, 136, 184, 111, 159)(103, 151, 118, 166, 124, 172, 110, 158, 139, 187, 121, 169)(104, 152, 123, 171, 114, 162, 140, 188, 122, 170, 125, 173)(106, 154, 130, 178, 142, 190, 134, 182, 115, 163, 129, 177)(108, 156, 132, 180, 117, 165, 128, 176, 143, 191, 135, 183)
	L = (1, 100)(2, 106)(3, 110)(4, 114)(5, 117)(6, 118)(7, 97)(8, 124)(9, 128)(10, 131)(11, 132)(12, 98)(13, 138)(14, 140)(15, 129)(16, 99)(17, 137)(18, 139)(19, 101)(20, 130)(21, 127)(22, 123)(23, 126)(24, 102)(25, 125)(26, 103)(27, 113)(28, 109)(29, 112)(30, 104)(31, 142)(32, 144)(33, 105)(34, 141)(35, 143)(36, 116)(37, 115)(38, 107)(39, 111)(40, 108)(41, 121)(42, 122)(43, 119)(44, 120)(45, 135)(46, 136)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1101
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y3^-1 * Y1)^6 ]
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, 19, 67)(13, 61, 20, 68)(14, 62, 21, 69)(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, 47, 95)(42, 90, 48, 96)(43, 91, 45, 93)(44, 92, 46, 94)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 110, 158, 102, 150, 109, 157)(104, 152, 117, 165, 106, 154, 116, 164)(107, 155, 121, 169, 112, 160, 123, 171)(111, 159, 124, 172, 113, 161, 122, 170)(114, 162, 125, 173, 119, 167, 127, 175)(118, 166, 128, 176, 120, 168, 126, 174)(129, 177, 137, 185, 131, 179, 139, 187)(130, 178, 140, 188, 132, 180, 138, 186)(133, 181, 141, 189, 135, 183, 143, 191)(134, 182, 144, 192, 136, 184, 142, 190)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 116)(8, 115)(9, 117)(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, 112)(27, 111)(28, 107)(29, 120)(30, 119)(31, 118)(32, 114)(33, 138)(34, 137)(35, 140)(36, 139)(37, 142)(38, 141)(39, 144)(40, 143)(41, 132)(42, 131)(43, 130)(44, 129)(45, 136)(46, 135)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1123
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y2 * R * Y2^-2 * Y1 * R * Y2^-1 * Y1, Y3^2 * Y2^-1 * Y3^-4 * Y2^-1, (Y3^2 * Y1 * 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, 23, 71)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 21, 69)(13, 61, 22, 70)(15, 63, 24, 72)(16, 64, 25, 73)(17, 65, 26, 74)(19, 67, 28, 76)(29, 77, 42, 90)(30, 78, 41, 89)(31, 79, 39, 87)(32, 80, 44, 92)(33, 81, 38, 86)(34, 82, 37, 85)(35, 83, 43, 91)(36, 84, 40, 88)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 109, 157, 119, 167, 112, 160)(102, 150, 108, 156, 123, 171, 113, 161)(104, 152, 118, 166, 110, 158, 121, 169)(106, 154, 117, 165, 114, 162, 122, 170)(111, 159, 126, 174, 135, 183, 129, 177)(115, 163, 125, 173, 139, 187, 130, 178)(120, 168, 134, 182, 127, 175, 137, 185)(124, 172, 133, 181, 131, 179, 138, 186)(128, 176, 142, 190, 132, 180, 141, 189)(136, 184, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 117)(8, 120)(9, 122)(10, 98)(11, 119)(12, 125)(13, 99)(14, 127)(15, 128)(16, 101)(17, 130)(18, 116)(19, 102)(20, 110)(21, 133)(22, 103)(23, 135)(24, 136)(25, 105)(26, 138)(27, 107)(28, 106)(29, 141)(30, 109)(31, 140)(32, 139)(33, 112)(34, 142)(35, 114)(36, 115)(37, 143)(38, 118)(39, 132)(40, 131)(41, 121)(42, 144)(43, 123)(44, 124)(45, 129)(46, 126)(47, 137)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1124
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y3^-2, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, Y3^4, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 16, 64)(12, 60, 21, 69)(13, 61, 22, 70)(17, 65, 25, 73)(18, 66, 26, 74)(23, 71, 31, 79)(24, 72, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 44, 92)(40, 88, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 112, 160, 105, 153)(100, 148, 109, 157, 102, 150, 108, 156)(104, 152, 114, 162, 106, 154, 113, 161)(110, 158, 117, 165, 111, 159, 118, 166)(115, 163, 121, 169, 116, 164, 122, 170)(119, 167, 126, 174, 120, 168, 125, 173)(123, 171, 130, 178, 124, 172, 129, 177)(127, 175, 133, 181, 128, 176, 134, 182)(131, 179, 137, 185, 132, 180, 138, 186)(135, 183, 142, 190, 136, 184, 141, 189)(139, 187, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 107)(5, 109)(6, 97)(7, 113)(8, 112)(9, 114)(10, 98)(11, 102)(12, 101)(13, 99)(14, 119)(15, 120)(16, 106)(17, 105)(18, 103)(19, 123)(20, 124)(21, 125)(22, 126)(23, 111)(24, 110)(25, 129)(26, 130)(27, 116)(28, 115)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(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) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1125
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^4, (R * Y1)^2, Y1 * Y2^2 * Y1, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 6, 54, 9, 57)(4, 52, 15, 63, 21, 69, 12, 60)(7, 55, 18, 66, 22, 70, 10, 58)(13, 61, 24, 72, 16, 64, 27, 75)(14, 62, 23, 71, 19, 67, 25, 73)(17, 65, 28, 76, 36, 84, 31, 79)(20, 68, 26, 74, 37, 85, 34, 82)(29, 77, 42, 90, 32, 80, 39, 87)(30, 78, 40, 88, 35, 83, 38, 86)(33, 81, 44, 92, 46, 94, 41, 89)(43, 91, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 112, 160, 117, 165, 109, 157)(103, 151, 115, 163, 118, 166, 110, 158)(106, 154, 121, 169, 114, 162, 119, 167)(108, 156, 123, 171, 111, 159, 120, 168)(113, 161, 125, 173, 132, 180, 128, 176)(116, 164, 126, 174, 133, 181, 131, 179)(122, 170, 134, 182, 130, 178, 136, 184)(124, 172, 135, 183, 127, 175, 138, 186)(129, 177, 141, 189, 142, 190, 139, 187)(137, 185, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 106)(3, 109)(4, 113)(5, 114)(6, 112)(7, 97)(8, 117)(9, 119)(10, 122)(11, 121)(12, 98)(13, 125)(14, 99)(15, 101)(16, 128)(17, 129)(18, 130)(19, 102)(20, 103)(21, 132)(22, 104)(23, 134)(24, 105)(25, 136)(26, 137)(27, 107)(28, 108)(29, 139)(30, 110)(31, 111)(32, 141)(33, 116)(34, 140)(35, 115)(36, 142)(37, 118)(38, 143)(39, 120)(40, 144)(41, 124)(42, 123)(43, 126)(44, 127)(45, 131)(46, 133)(47, 135)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1120
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^4, Y2^-2 * Y1^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1^-2 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 6, 54, 13, 61)(4, 52, 14, 62, 18, 66, 9, 57)(8, 56, 19, 67, 10, 58, 21, 69)(12, 60, 23, 71, 17, 65, 22, 70)(15, 63, 24, 72, 16, 64, 20, 68)(25, 73, 33, 81, 26, 74, 35, 83)(27, 75, 36, 84, 28, 76, 34, 82)(29, 77, 37, 85, 30, 78, 39, 87)(31, 79, 40, 88, 32, 80, 38, 86)(41, 89, 46, 94, 42, 90, 45, 93)(43, 91, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 103, 151, 102, 150)(98, 146, 104, 152, 101, 149, 106, 154)(100, 148, 111, 159, 114, 162, 112, 160)(105, 153, 118, 166, 110, 158, 119, 167)(107, 155, 121, 169, 109, 157, 122, 170)(108, 156, 123, 171, 113, 161, 124, 172)(115, 163, 125, 173, 117, 165, 126, 174)(116, 164, 127, 175, 120, 168, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 110)(6, 113)(7, 114)(8, 116)(9, 98)(10, 120)(11, 118)(12, 99)(13, 119)(14, 101)(15, 117)(16, 115)(17, 102)(18, 103)(19, 112)(20, 104)(21, 111)(22, 107)(23, 109)(24, 106)(25, 130)(26, 132)(27, 131)(28, 129)(29, 134)(30, 136)(31, 135)(32, 133)(33, 124)(34, 121)(35, 123)(36, 122)(37, 128)(38, 125)(39, 127)(40, 126)(41, 144)(42, 143)(43, 141)(44, 142)(45, 139)(46, 140)(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, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1119
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1^-1 * Y2^2 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), Y2^-2 * Y1^-2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^2, Y2^4, Y2^2 * Y3^6, Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 6, 54, 9, 57)(4, 52, 15, 63, 21, 69, 12, 60)(7, 55, 18, 66, 22, 70, 10, 58)(13, 61, 24, 72, 17, 65, 27, 75)(14, 62, 23, 71, 19, 67, 26, 74)(16, 64, 28, 76, 37, 85, 31, 79)(20, 68, 25, 73, 38, 86, 34, 82)(29, 77, 43, 91, 33, 81, 40, 88)(30, 78, 42, 90, 35, 83, 39, 87)(32, 80, 41, 89, 36, 84, 44, 92)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 109, 157, 117, 165, 113, 161)(103, 151, 110, 158, 118, 166, 115, 163)(106, 154, 119, 167, 114, 162, 122, 170)(108, 156, 120, 168, 111, 159, 123, 171)(112, 160, 125, 173, 133, 181, 129, 177)(116, 164, 126, 174, 134, 182, 131, 179)(121, 169, 135, 183, 130, 178, 138, 186)(124, 172, 136, 184, 127, 175, 139, 187)(128, 176, 141, 189, 132, 180, 142, 190)(137, 185, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 106)(3, 109)(4, 112)(5, 114)(6, 113)(7, 97)(8, 117)(9, 119)(10, 121)(11, 122)(12, 98)(13, 125)(14, 99)(15, 101)(16, 128)(17, 129)(18, 130)(19, 102)(20, 103)(21, 133)(22, 104)(23, 135)(24, 105)(25, 137)(26, 138)(27, 107)(28, 108)(29, 141)(30, 110)(31, 111)(32, 134)(33, 142)(34, 140)(35, 115)(36, 116)(37, 132)(38, 118)(39, 143)(40, 120)(41, 127)(42, 144)(43, 123)(44, 124)(45, 131)(46, 126)(47, 139)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1121
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, Y2^2 * Y1^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y2^-1, Y1^-1), (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y2^4, (R * Y3)^2, Y3^6, (R * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 6, 54, 11, 59)(4, 52, 15, 63, 21, 69, 12, 60)(7, 55, 18, 66, 22, 70, 10, 58)(13, 61, 27, 75, 16, 64, 24, 72)(14, 62, 25, 73, 19, 67, 23, 71)(17, 65, 28, 76, 36, 84, 31, 79)(20, 68, 26, 74, 37, 85, 34, 82)(29, 77, 39, 87, 32, 80, 42, 90)(30, 78, 38, 86, 35, 83, 40, 88)(33, 81, 44, 92, 46, 94, 41, 89)(43, 91, 48, 96, 45, 93, 47, 95)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 112, 160, 117, 165, 109, 157)(103, 151, 115, 163, 118, 166, 110, 158)(106, 154, 121, 169, 114, 162, 119, 167)(108, 156, 123, 171, 111, 159, 120, 168)(113, 161, 125, 173, 132, 180, 128, 176)(116, 164, 126, 174, 133, 181, 131, 179)(122, 170, 134, 182, 130, 178, 136, 184)(124, 172, 135, 183, 127, 175, 138, 186)(129, 177, 141, 189, 142, 190, 139, 187)(137, 185, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 106)(3, 109)(4, 113)(5, 114)(6, 112)(7, 97)(8, 117)(9, 119)(10, 122)(11, 121)(12, 98)(13, 125)(14, 99)(15, 101)(16, 128)(17, 129)(18, 130)(19, 102)(20, 103)(21, 132)(22, 104)(23, 134)(24, 105)(25, 136)(26, 137)(27, 107)(28, 108)(29, 139)(30, 110)(31, 111)(32, 141)(33, 116)(34, 140)(35, 115)(36, 142)(37, 118)(38, 143)(39, 120)(40, 144)(41, 124)(42, 123)(43, 126)(44, 127)(45, 131)(46, 133)(47, 135)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1122
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2 * Y1^-2 * Y2, Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y1^6, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, (Y1 * Y2 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 17, 65, 5, 53)(3, 51, 9, 57, 19, 67, 37, 85, 31, 79, 11, 59)(4, 52, 12, 60, 32, 80, 40, 88, 20, 68, 14, 62)(7, 55, 21, 69, 35, 83, 33, 81, 15, 63, 23, 71)(8, 56, 24, 72, 16, 64, 34, 82, 36, 84, 26, 74)(10, 58, 28, 76, 43, 91, 46, 94, 38, 86, 22, 70)(13, 61, 30, 78, 45, 93, 47, 95, 39, 87, 25, 73)(27, 75, 41, 89, 48, 96, 44, 92, 29, 77, 42, 90)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 123, 171)(106, 154, 120, 168)(107, 155, 125, 173)(108, 156, 124, 172)(110, 158, 118, 166)(112, 160, 126, 174)(113, 161, 127, 175)(114, 162, 131, 179)(116, 164, 135, 183)(117, 165, 137, 185)(119, 167, 138, 186)(122, 170, 134, 182)(128, 176, 141, 189)(129, 177, 140, 188)(130, 178, 139, 187)(132, 180, 143, 191)(133, 181, 144, 192)(136, 184, 142, 190)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 121)(10, 99)(11, 126)(12, 125)(13, 119)(14, 123)(15, 124)(16, 101)(17, 128)(18, 132)(19, 134)(20, 102)(21, 135)(22, 103)(23, 109)(24, 138)(25, 105)(26, 137)(27, 110)(28, 111)(29, 108)(30, 107)(31, 139)(32, 113)(33, 141)(34, 140)(35, 142)(36, 114)(37, 143)(38, 115)(39, 117)(40, 144)(41, 122)(42, 120)(43, 127)(44, 130)(45, 129)(46, 131)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1116
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 40, 88, 21, 69, 13, 61)(4, 52, 15, 63, 33, 81, 37, 85, 22, 70, 9, 57)(6, 54, 19, 67, 35, 83, 38, 86, 23, 71, 10, 58)(8, 56, 24, 72, 17, 65, 34, 82, 36, 84, 26, 74)(12, 60, 27, 75, 39, 87, 47, 95, 43, 91, 31, 79)(14, 62, 25, 73, 41, 89, 46, 94, 44, 92, 32, 80)(16, 64, 28, 76, 42, 90, 48, 96, 45, 93, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 113, 161)(102, 150, 110, 158)(103, 151, 117, 165)(105, 153, 121, 169)(106, 154, 123, 171)(107, 155, 126, 174)(109, 157, 124, 172)(111, 159, 128, 176)(112, 160, 120, 168)(114, 162, 125, 173)(115, 163, 127, 175)(116, 164, 132, 180)(118, 166, 135, 183)(119, 167, 137, 185)(122, 170, 138, 186)(129, 177, 139, 187)(130, 178, 141, 189)(131, 179, 140, 188)(133, 181, 142, 190)(134, 182, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 111)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 127)(12, 120)(13, 123)(14, 99)(15, 126)(16, 102)(17, 128)(18, 129)(19, 101)(20, 133)(21, 135)(22, 138)(23, 103)(24, 110)(25, 109)(26, 137)(27, 104)(28, 106)(29, 139)(30, 115)(31, 113)(32, 107)(33, 141)(34, 140)(35, 114)(36, 142)(37, 144)(38, 116)(39, 122)(40, 143)(41, 117)(42, 119)(43, 130)(44, 125)(45, 131)(46, 136)(47, 132)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1115
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y1^-2 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3)^2, Y1^-1 * R * Y2 * R * Y1^-1 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1^6, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 17, 65, 5, 53)(3, 51, 9, 57, 27, 75, 38, 86, 19, 67, 11, 59)(4, 52, 12, 60, 32, 80, 40, 88, 20, 68, 14, 62)(7, 55, 21, 69, 15, 63, 33, 81, 35, 83, 23, 71)(8, 56, 24, 72, 16, 64, 34, 82, 36, 84, 26, 74)(10, 58, 22, 70, 37, 85, 46, 94, 43, 91, 30, 78)(13, 61, 25, 73, 39, 87, 47, 95, 45, 93, 29, 77)(28, 76, 41, 89, 31, 79, 42, 90, 48, 96, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 124, 172)(106, 154, 120, 168)(107, 155, 127, 175)(108, 156, 126, 174)(110, 158, 118, 166)(112, 160, 125, 173)(113, 161, 123, 171)(114, 162, 131, 179)(116, 164, 135, 183)(117, 165, 137, 185)(119, 167, 138, 186)(122, 170, 133, 181)(128, 176, 141, 189)(129, 177, 140, 188)(130, 178, 139, 187)(132, 180, 143, 191)(134, 182, 144, 192)(136, 184, 142, 190)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 125)(10, 99)(11, 121)(12, 124)(13, 117)(14, 127)(15, 126)(16, 101)(17, 128)(18, 132)(19, 133)(20, 102)(21, 109)(22, 103)(23, 135)(24, 137)(25, 107)(26, 138)(27, 139)(28, 108)(29, 105)(30, 111)(31, 110)(32, 113)(33, 141)(34, 140)(35, 142)(36, 114)(37, 115)(38, 143)(39, 119)(40, 144)(41, 120)(42, 122)(43, 123)(44, 130)(45, 129)(46, 131)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1117
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (Y1^-2 * Y3)^2, Y1^6, (Y3 * Y1)^4, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 15, 63, 5, 53)(3, 51, 9, 57, 23, 71, 31, 79, 17, 65, 7, 55)(4, 52, 11, 59, 26, 74, 35, 83, 18, 66, 13, 61)(8, 56, 20, 68, 14, 62, 30, 78, 32, 80, 22, 70)(10, 58, 21, 69, 33, 81, 44, 92, 39, 87, 25, 73)(12, 60, 19, 67, 34, 82, 43, 91, 40, 88, 24, 72)(27, 75, 36, 84, 29, 77, 38, 86, 46, 94, 42, 90)(28, 76, 41, 89, 47, 95, 48, 96, 45, 93, 37, 85)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 105, 153)(102, 150, 113, 161)(104, 152, 117, 165)(106, 154, 116, 164)(107, 155, 120, 168)(109, 157, 115, 163)(110, 158, 121, 169)(111, 159, 119, 167)(112, 160, 127, 175)(114, 162, 130, 178)(118, 166, 129, 177)(122, 170, 136, 184)(123, 171, 137, 185)(124, 172, 132, 180)(125, 173, 133, 181)(126, 174, 135, 183)(128, 176, 140, 188)(131, 179, 139, 187)(134, 182, 141, 189)(138, 186, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 110)(6, 114)(7, 115)(8, 98)(9, 120)(10, 99)(11, 123)(12, 124)(13, 125)(14, 101)(15, 122)(16, 128)(17, 129)(18, 102)(19, 103)(20, 132)(21, 133)(22, 134)(23, 135)(24, 105)(25, 137)(26, 111)(27, 107)(28, 108)(29, 109)(30, 138)(31, 139)(32, 112)(33, 113)(34, 141)(35, 142)(36, 116)(37, 117)(38, 118)(39, 119)(40, 143)(41, 121)(42, 126)(43, 127)(44, 144)(45, 130)(46, 131)(47, 136)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1118
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 21, 69, 9, 57)(4, 52, 12, 60, 7, 55, 10, 58)(6, 54, 18, 66, 22, 70, 11, 59)(14, 62, 23, 71, 36, 84, 29, 77)(15, 63, 24, 72, 16, 64, 25, 73)(17, 65, 26, 74, 19, 67, 27, 75)(20, 68, 28, 76, 37, 85, 34, 82)(30, 78, 43, 91, 46, 94, 38, 86)(31, 79, 40, 88, 32, 80, 39, 87)(33, 81, 42, 90, 35, 83, 41, 89)(44, 92, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 110, 158, 126, 174, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 134, 182, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 127, 175, 112, 160)(101, 149, 109, 157, 125, 173, 139, 187, 130, 178, 114, 162)(103, 151, 115, 163, 131, 179, 140, 188, 128, 176, 111, 159)(104, 152, 117, 165, 132, 180, 142, 190, 133, 181, 118, 166)(106, 154, 122, 170, 137, 185, 144, 192, 135, 183, 121, 169)(108, 156, 123, 171, 138, 186, 143, 191, 136, 184, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 121)(14, 127)(15, 117)(16, 99)(17, 102)(18, 122)(19, 118)(20, 129)(21, 112)(22, 113)(23, 135)(24, 109)(25, 105)(26, 107)(27, 114)(28, 137)(29, 136)(30, 140)(31, 132)(32, 110)(33, 133)(34, 138)(35, 116)(36, 128)(37, 131)(38, 143)(39, 125)(40, 119)(41, 130)(42, 124)(43, 144)(44, 142)(45, 126)(46, 141)(47, 139)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1112
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y2 * Y1 * Y2^-1 * Y3^2 * Y1^-1, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-1 * Y3^-4 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^-2, Y1^-1 * R * Y2 * R * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 11, 59)(4, 52, 12, 60, 28, 76, 19, 67)(6, 54, 20, 68, 29, 77, 9, 57)(7, 55, 10, 58, 30, 78, 21, 69)(14, 62, 37, 85, 18, 66, 40, 88)(15, 63, 39, 87, 17, 65, 38, 86)(16, 64, 33, 81, 22, 70, 36, 84)(23, 71, 31, 79, 26, 74, 35, 83)(24, 72, 34, 82, 25, 73, 32, 80)(41, 89, 48, 96, 44, 92, 45, 93)(42, 90, 47, 95, 43, 91, 46, 94)(97, 145, 99, 147, 110, 158, 137, 185, 119, 167, 102, 150)(98, 146, 105, 153, 127, 175, 141, 189, 133, 181, 107, 155)(100, 148, 113, 161, 138, 186, 120, 168, 126, 174, 112, 160)(101, 149, 116, 164, 131, 179, 144, 192, 136, 184, 109, 157)(103, 151, 118, 166, 124, 172, 111, 159, 139, 187, 121, 169)(104, 152, 123, 171, 114, 162, 140, 188, 122, 170, 125, 173)(106, 154, 130, 178, 142, 190, 134, 182, 115, 163, 129, 177)(108, 156, 132, 180, 117, 165, 128, 176, 143, 191, 135, 183)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 117)(6, 118)(7, 97)(8, 124)(9, 128)(10, 131)(11, 132)(12, 98)(13, 129)(14, 138)(15, 140)(16, 99)(17, 137)(18, 139)(19, 101)(20, 130)(21, 127)(22, 123)(23, 126)(24, 102)(25, 125)(26, 103)(27, 113)(28, 110)(29, 112)(30, 104)(31, 142)(32, 144)(33, 105)(34, 141)(35, 143)(36, 116)(37, 115)(38, 107)(39, 109)(40, 108)(41, 121)(42, 122)(43, 119)(44, 120)(45, 135)(46, 136)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1113
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, Y3^2 * Y1^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y2^6, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 21, 69, 11, 59)(4, 52, 12, 60, 7, 55, 10, 58)(6, 54, 18, 66, 22, 70, 9, 57)(14, 62, 28, 76, 36, 84, 29, 77)(15, 63, 27, 75, 16, 64, 26, 74)(17, 65, 25, 73, 19, 67, 24, 72)(20, 68, 23, 71, 37, 85, 34, 82)(30, 78, 43, 91, 46, 94, 38, 86)(31, 79, 42, 90, 32, 80, 41, 89)(33, 81, 40, 88, 35, 83, 39, 87)(44, 92, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147, 110, 158, 126, 174, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 134, 182, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 127, 175, 112, 160)(101, 149, 114, 162, 130, 178, 139, 187, 125, 173, 109, 157)(103, 151, 115, 163, 131, 179, 140, 188, 128, 176, 111, 159)(104, 152, 117, 165, 132, 180, 142, 190, 133, 181, 118, 166)(106, 154, 122, 170, 137, 185, 144, 192, 135, 183, 121, 169)(108, 156, 123, 171, 138, 186, 143, 191, 136, 184, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 122)(14, 127)(15, 117)(16, 99)(17, 102)(18, 121)(19, 118)(20, 129)(21, 112)(22, 113)(23, 135)(24, 114)(25, 105)(26, 107)(27, 109)(28, 137)(29, 138)(30, 140)(31, 132)(32, 110)(33, 133)(34, 136)(35, 116)(36, 128)(37, 131)(38, 143)(39, 130)(40, 119)(41, 125)(42, 124)(43, 144)(44, 142)(45, 126)(46, 141)(47, 139)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1114
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x (C3 : C4) (small group id <48, 42>)
Aut   = C2 x C2 x ((C6 x C2) : C2) (small group id <96, 219>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^6 ]
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, 18, 66)(12, 60, 19, 67)(13, 61, 20, 68)(14, 62, 21, 69)(15, 63, 22, 70)(16, 64, 23, 71)(17, 65, 24, 72)(25, 73, 32, 80)(26, 74, 33, 81)(27, 75, 34, 82)(28, 76, 35, 83)(29, 77, 36, 84)(30, 78, 37, 85)(31, 79, 38, 86)(39, 87, 43, 91)(40, 88, 44, 92)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 109, 157, 121, 169, 111, 159)(102, 150, 108, 156, 122, 170, 112, 160)(104, 152, 116, 164, 128, 176, 118, 166)(106, 154, 115, 163, 129, 177, 119, 167)(110, 158, 124, 172, 135, 183, 126, 174)(113, 161, 123, 171, 136, 184, 127, 175)(117, 165, 131, 179, 139, 187, 133, 181)(120, 168, 130, 178, 140, 188, 134, 182)(125, 173, 137, 185, 143, 191, 138, 186)(132, 180, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 115)(8, 117)(9, 119)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 101)(16, 127)(17, 102)(18, 128)(19, 130)(20, 103)(21, 132)(22, 105)(23, 134)(24, 106)(25, 135)(26, 107)(27, 137)(28, 109)(29, 113)(30, 111)(31, 138)(32, 139)(33, 114)(34, 141)(35, 116)(36, 120)(37, 118)(38, 142)(39, 143)(40, 122)(41, 124)(42, 126)(43, 144)(44, 129)(45, 131)(46, 133)(47, 136)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1127
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x (C3 : C4) (small group id <48, 42>)
Aut   = C2 x C2 x ((C6 x C2) : C2) (small group id <96, 219>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), (Y3^-1 * Y2)^2, (R * Y2)^2, (R * Y1)^2, Y2^2 * Y3^-2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-4 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 22, 70, 15, 63)(4, 52, 12, 60, 23, 71, 17, 65)(6, 54, 9, 57, 24, 72, 18, 66)(7, 55, 10, 58, 25, 73, 19, 67)(13, 61, 29, 77, 38, 86, 33, 81)(14, 62, 30, 78, 39, 87, 34, 82)(16, 64, 28, 76, 40, 88, 35, 83)(20, 68, 26, 74, 41, 89, 36, 84)(21, 69, 27, 75, 42, 90, 37, 85)(31, 79, 43, 91, 47, 95, 45, 93)(32, 80, 44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 109, 157, 127, 175, 116, 164, 102, 150)(98, 146, 105, 153, 122, 170, 139, 187, 125, 173, 107, 155)(100, 148, 110, 158, 128, 176, 117, 165, 103, 151, 112, 160)(101, 149, 114, 162, 132, 180, 141, 189, 129, 177, 111, 159)(104, 152, 118, 166, 134, 182, 143, 191, 137, 185, 120, 168)(106, 154, 123, 171, 140, 188, 126, 174, 108, 156, 124, 172)(113, 161, 131, 179, 115, 163, 133, 181, 142, 190, 130, 178)(119, 167, 135, 183, 144, 192, 138, 186, 121, 169, 136, 184)
	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, 128)(14, 127)(15, 131)(16, 99)(17, 101)(18, 133)(19, 132)(20, 103)(21, 102)(22, 135)(23, 134)(24, 136)(25, 104)(26, 140)(27, 139)(28, 105)(29, 108)(30, 107)(31, 117)(32, 116)(33, 113)(34, 111)(35, 114)(36, 142)(37, 141)(38, 144)(39, 143)(40, 118)(41, 121)(42, 120)(43, 126)(44, 125)(45, 130)(46, 129)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1126
Graph:: simple bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4 ]
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, 19, 67)(13, 61, 20, 68)(14, 62, 21, 69)(15, 63, 22, 70)(16, 64, 23, 71)(17, 65, 24, 72)(25, 73, 32, 80)(26, 74, 33, 81)(27, 75, 34, 82)(28, 76, 35, 83)(29, 77, 36, 84)(30, 78, 37, 85)(31, 79, 38, 86)(39, 87, 43, 91)(40, 88, 44, 92)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 125, 173, 111, 159)(102, 150, 113, 161, 123, 171, 108, 156)(104, 152, 117, 165, 132, 180, 118, 166)(106, 154, 120, 168, 130, 178, 115, 163)(109, 157, 124, 172, 135, 183, 121, 169)(112, 160, 122, 170, 136, 184, 127, 175)(116, 164, 131, 179, 139, 187, 128, 176)(119, 167, 129, 177, 140, 188, 134, 182)(126, 174, 138, 186, 143, 191, 137, 185)(133, 181, 142, 190, 144, 192, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 112)(6, 97)(7, 115)(8, 106)(9, 119)(10, 98)(11, 121)(12, 109)(13, 99)(14, 101)(15, 126)(16, 110)(17, 111)(18, 128)(19, 116)(20, 103)(21, 105)(22, 133)(23, 117)(24, 118)(25, 122)(26, 107)(27, 137)(28, 123)(29, 127)(30, 113)(31, 138)(32, 129)(33, 114)(34, 141)(35, 130)(36, 134)(37, 120)(38, 142)(39, 143)(40, 135)(41, 124)(42, 125)(43, 144)(44, 139)(45, 131)(46, 132)(47, 136)(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, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1135
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (Y2 * Y3)^2, (Y2 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y2, (Y3^-1 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2^-2 * Y1 * Y3^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal 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, 23, 71)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 30, 78)(13, 61, 22, 70)(15, 63, 24, 72)(16, 64, 25, 73)(17, 65, 28, 76)(19, 67, 26, 74)(21, 69, 38, 86)(29, 77, 40, 88)(31, 79, 33, 81)(32, 80, 37, 85)(34, 82, 41, 89)(35, 83, 45, 93)(36, 84, 39, 87)(42, 90, 47, 95)(43, 91, 44, 92)(46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 116, 164, 105, 153)(100, 148, 111, 159, 119, 167, 112, 160)(102, 150, 115, 163, 127, 175, 108, 156)(104, 152, 120, 168, 110, 158, 121, 169)(106, 154, 124, 172, 135, 183, 117, 165)(109, 157, 128, 176, 139, 187, 125, 173)(113, 161, 123, 171, 134, 182, 132, 180)(114, 162, 126, 174, 129, 177, 122, 170)(118, 166, 136, 184, 140, 188, 133, 181)(130, 178, 141, 189, 144, 192, 138, 186)(131, 179, 137, 185, 143, 191, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 113)(6, 97)(7, 117)(8, 106)(9, 122)(10, 98)(11, 125)(12, 109)(13, 99)(14, 129)(15, 101)(16, 131)(17, 111)(18, 116)(19, 112)(20, 133)(21, 118)(22, 103)(23, 132)(24, 105)(25, 138)(26, 120)(27, 107)(28, 121)(29, 123)(30, 140)(31, 142)(32, 127)(33, 130)(34, 110)(35, 115)(36, 137)(37, 114)(38, 139)(39, 144)(40, 135)(41, 119)(42, 124)(43, 143)(44, 141)(45, 126)(46, 128)(47, 134)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1136
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y2)^2, (Y2 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y3^6, Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-2, (Y3^2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 23, 71)(10, 58, 27, 75)(11, 59, 22, 70)(12, 60, 18, 66)(13, 61, 17, 65)(15, 63, 24, 72)(16, 64, 33, 81)(20, 68, 26, 74)(21, 69, 39, 87)(25, 73, 31, 79)(28, 76, 37, 85)(29, 77, 38, 86)(30, 78, 32, 80)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 42, 90)(43, 91, 48, 96)(44, 92, 46, 94)(45, 93, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 111, 159, 119, 167, 113, 161)(102, 150, 116, 164, 106, 154, 108, 156)(104, 152, 120, 168, 110, 158, 109, 157)(112, 160, 130, 178, 121, 169, 126, 174)(114, 162, 123, 171, 122, 170, 115, 163)(117, 165, 132, 180, 133, 181, 134, 182)(124, 172, 138, 186, 135, 183, 125, 173)(127, 175, 136, 184, 129, 177, 128, 176)(131, 179, 139, 187, 140, 188, 141, 189)(137, 185, 143, 191, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 114)(6, 97)(7, 116)(8, 121)(9, 122)(10, 98)(11, 110)(12, 125)(13, 99)(14, 127)(15, 101)(16, 131)(17, 103)(18, 132)(19, 118)(20, 134)(21, 102)(22, 119)(23, 129)(24, 105)(25, 137)(26, 138)(27, 107)(28, 106)(29, 139)(30, 109)(31, 140)(32, 111)(33, 142)(34, 113)(35, 117)(36, 141)(37, 115)(38, 143)(39, 123)(40, 120)(41, 124)(42, 144)(43, 126)(44, 135)(45, 128)(46, 133)(47, 130)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1137
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y3 * Y1)^2, (Y3 * Y1^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1, (Y3 * Y2 * Y1^-1)^2, (Y2^-2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^3, (R * Y2 * Y3)^2, (Y2 * Y1^-1)^3, R * Y2^-1 * Y1 * Y2 * R * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, R * Y2^-1 * R * Y2 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 25, 73, 14, 62)(4, 52, 15, 63, 24, 72, 9, 57)(6, 54, 20, 68, 23, 71, 22, 70)(8, 56, 26, 74, 19, 67, 29, 77)(10, 58, 32, 80, 18, 66, 34, 82)(12, 60, 35, 83, 42, 90, 27, 75)(13, 61, 37, 85, 46, 94, 30, 78)(16, 64, 38, 86, 45, 93, 33, 81)(17, 65, 41, 89, 44, 92, 28, 76)(21, 69, 39, 87, 43, 91, 31, 79)(36, 84, 47, 95, 40, 88, 48, 96)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 112, 160, 136, 184, 113, 161)(101, 149, 114, 162, 131, 179, 115, 163)(103, 151, 119, 167, 138, 186, 121, 169)(105, 153, 126, 174, 144, 192, 127, 175)(107, 155, 122, 170, 118, 166, 130, 178)(109, 157, 134, 182, 139, 187, 124, 172)(110, 158, 128, 176, 116, 164, 125, 173)(111, 159, 135, 183, 143, 191, 133, 181)(117, 165, 129, 177, 142, 190, 137, 185)(120, 168, 140, 188, 132, 180, 141, 189)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 111)(6, 117)(7, 120)(8, 124)(9, 98)(10, 129)(11, 126)(12, 132)(13, 99)(14, 133)(15, 101)(16, 130)(17, 125)(18, 134)(19, 137)(20, 127)(21, 102)(22, 135)(23, 139)(24, 103)(25, 142)(26, 140)(27, 143)(28, 104)(29, 113)(30, 107)(31, 116)(32, 141)(33, 106)(34, 112)(35, 144)(36, 108)(37, 110)(38, 114)(39, 118)(40, 138)(41, 115)(42, 136)(43, 119)(44, 122)(45, 128)(46, 121)(47, 123)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1134
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y3 * Y1)^2, Y1^4, Y2^2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, (Y2 * Y1^-2)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 13, 61)(4, 52, 14, 62, 19, 67, 9, 57)(6, 54, 12, 60, 18, 66, 17, 65)(8, 56, 21, 69, 15, 63, 23, 71)(10, 58, 22, 70, 16, 64, 24, 72)(25, 73, 33, 81, 27, 75, 35, 83)(26, 74, 34, 82, 28, 76, 36, 84)(29, 77, 37, 85, 31, 79, 39, 87)(30, 78, 38, 86, 32, 80, 40, 88)(41, 89, 45, 93, 43, 91, 47, 95)(42, 90, 48, 96, 44, 92, 46, 94)(97, 145, 99, 147, 105, 153, 102, 150)(98, 146, 104, 152, 115, 163, 106, 154)(100, 148, 111, 159, 101, 149, 112, 160)(103, 151, 114, 162, 110, 158, 116, 164)(107, 155, 121, 169, 113, 161, 122, 170)(108, 156, 123, 171, 109, 157, 124, 172)(117, 165, 125, 173, 120, 168, 126, 174)(118, 166, 127, 175, 119, 167, 128, 176)(129, 177, 137, 185, 132, 180, 138, 186)(130, 178, 139, 187, 131, 179, 140, 188)(133, 181, 141, 189, 136, 184, 142, 190)(134, 182, 143, 191, 135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 110)(6, 107)(7, 115)(8, 118)(9, 98)(10, 117)(11, 102)(12, 99)(13, 114)(14, 101)(15, 120)(16, 119)(17, 116)(18, 109)(19, 103)(20, 113)(21, 106)(22, 104)(23, 112)(24, 111)(25, 130)(26, 129)(27, 132)(28, 131)(29, 134)(30, 133)(31, 136)(32, 135)(33, 122)(34, 121)(35, 124)(36, 123)(37, 126)(38, 125)(39, 128)(40, 127)(41, 144)(42, 141)(43, 142)(44, 143)(45, 138)(46, 139)(47, 140)(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, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1133
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3 * Y2, Y1 * R * Y2 * R * Y1^-1 * Y2, Y1 * R * Y2 * R * Y1^-1 * Y2, (Y1^-1 * Y3 * Y2)^2, (R * Y2 * Y3)^2, (Y2 * Y3 * Y1)^2, Y1^6, R * Y2 * R * Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 17, 65, 5, 53)(3, 51, 9, 57, 25, 73, 39, 87, 31, 79, 11, 59)(4, 52, 12, 60, 32, 80, 40, 88, 34, 82, 14, 62)(7, 55, 21, 69, 43, 91, 37, 85, 29, 77, 23, 71)(8, 56, 10, 58, 27, 75, 38, 86, 45, 93, 24, 72)(13, 61, 16, 64, 36, 84, 42, 90, 20, 68, 22, 70)(15, 63, 33, 81, 26, 74, 19, 67, 41, 89, 35, 83)(28, 76, 30, 78, 47, 95, 48, 96, 46, 94, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 110, 158)(105, 153, 122, 170)(106, 154, 124, 172)(107, 155, 125, 173)(108, 156, 126, 174)(112, 160, 123, 171)(113, 161, 133, 181)(114, 162, 135, 183)(116, 164, 120, 168)(117, 165, 121, 169)(118, 166, 140, 188)(119, 167, 129, 177)(127, 175, 131, 179)(128, 176, 134, 182)(130, 178, 142, 190)(132, 180, 143, 191)(136, 184, 138, 186)(137, 185, 139, 187)(141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 110)(10, 99)(11, 126)(12, 111)(13, 129)(14, 105)(15, 108)(16, 101)(17, 134)(18, 136)(19, 130)(20, 102)(21, 120)(22, 103)(23, 124)(24, 117)(25, 142)(26, 140)(27, 125)(28, 119)(29, 123)(30, 107)(31, 128)(32, 127)(33, 109)(34, 115)(35, 143)(36, 133)(37, 132)(38, 113)(39, 141)(40, 114)(41, 138)(42, 137)(43, 144)(44, 122)(45, 135)(46, 121)(47, 131)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1132
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y1^-1 * Y2 * Y1, Y3 * Y1^2 * Y2 * Y3 * Y1^-1, (Y3 * Y1 * Y2)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, (Y2 * Y1^-1)^3, Y1^6, (Y1^-1 * Y2 * Y1 * Y2)^2, R * Y1 * Y2 * Y1^2 * Y2 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 17, 65, 5, 53)(3, 51, 9, 57, 27, 75, 37, 85, 32, 80, 11, 59)(4, 52, 12, 60, 25, 73, 38, 86, 34, 82, 14, 62)(7, 55, 21, 69, 43, 91, 36, 84, 46, 94, 23, 71)(8, 56, 24, 72, 42, 90, 30, 78, 10, 58, 26, 74)(13, 61, 20, 68, 41, 89, 35, 83, 16, 64, 22, 70)(15, 63, 33, 81, 40, 88, 19, 67, 39, 87, 28, 76)(29, 77, 47, 95, 48, 96, 45, 93, 31, 79, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 124, 172)(106, 154, 125, 173)(107, 155, 117, 165)(108, 156, 127, 175)(110, 158, 126, 174)(112, 160, 122, 170)(113, 161, 132, 180)(114, 162, 133, 181)(116, 164, 138, 186)(118, 166, 140, 188)(119, 167, 135, 183)(120, 168, 141, 189)(123, 171, 142, 190)(128, 176, 136, 184)(129, 177, 139, 187)(130, 178, 143, 191)(131, 179, 134, 182)(137, 185, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 121)(10, 99)(11, 127)(12, 115)(13, 129)(14, 128)(15, 130)(16, 101)(17, 126)(18, 134)(19, 108)(20, 102)(21, 138)(22, 103)(23, 141)(24, 133)(25, 105)(26, 142)(27, 143)(28, 140)(29, 139)(30, 113)(31, 107)(32, 110)(33, 109)(34, 111)(35, 135)(36, 137)(37, 120)(38, 114)(39, 131)(40, 144)(41, 132)(42, 117)(43, 125)(44, 124)(45, 119)(46, 122)(47, 123)(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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1131
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y3 * Y2^-1)^2, (Y1 * Y2^-1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y1^2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, (Y2^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 11, 59)(4, 52, 15, 63, 30, 78, 12, 60)(6, 54, 16, 64, 34, 82, 20, 68)(7, 55, 17, 65, 35, 83, 21, 69)(9, 57, 26, 74, 41, 89, 24, 72)(10, 58, 28, 76, 42, 90, 25, 73)(14, 62, 27, 75, 39, 87, 33, 81)(18, 66, 22, 70, 38, 86, 36, 84)(19, 67, 23, 71, 40, 88, 37, 85)(31, 79, 45, 93, 47, 95, 43, 91)(32, 80, 46, 94, 48, 96, 44, 92)(97, 145, 99, 147, 103, 151, 110, 158, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 123, 171, 106, 154, 107, 155)(101, 149, 112, 160, 115, 163, 129, 177, 113, 161, 114, 162)(104, 152, 118, 166, 121, 169, 135, 183, 119, 167, 120, 168)(109, 157, 127, 175, 116, 164, 111, 159, 128, 176, 117, 165)(122, 170, 139, 187, 125, 173, 124, 172, 140, 188, 126, 174)(130, 178, 141, 189, 132, 180, 131, 179, 142, 190, 133, 181)(134, 182, 143, 191, 137, 185, 136, 184, 144, 192, 138, 186)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 113)(6, 110)(7, 97)(8, 119)(9, 107)(10, 108)(11, 123)(12, 98)(13, 128)(14, 99)(15, 127)(16, 114)(17, 115)(18, 129)(19, 101)(20, 109)(21, 111)(22, 120)(23, 121)(24, 135)(25, 104)(26, 140)(27, 105)(28, 139)(29, 122)(30, 124)(31, 117)(32, 116)(33, 112)(34, 142)(35, 141)(36, 130)(37, 131)(38, 144)(39, 118)(40, 143)(41, 134)(42, 136)(43, 126)(44, 125)(45, 133)(46, 132)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1128
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y1^4, R * Y2^-1 * R * Y2 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1, Y1^2 * Y3 * Y2^2, (Y2 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^6, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 26, 74, 16, 64)(4, 52, 18, 66, 35, 83, 12, 60)(6, 54, 23, 71, 31, 79, 9, 57)(7, 55, 21, 69, 14, 62, 27, 75)(10, 58, 33, 81, 48, 96, 30, 78)(11, 59, 28, 76, 47, 95, 29, 77)(15, 63, 20, 68, 19, 67, 36, 84)(17, 65, 32, 80, 38, 86, 43, 91)(22, 70, 25, 73, 46, 94, 40, 88)(24, 72, 37, 85, 45, 93, 34, 82)(39, 87, 42, 90, 41, 89, 44, 92)(97, 145, 99, 147, 110, 158, 134, 182, 121, 169, 102, 150)(98, 146, 105, 153, 114, 162, 139, 187, 117, 165, 107, 155)(100, 148, 115, 163, 104, 152, 125, 173, 129, 177, 113, 161)(101, 149, 116, 164, 142, 190, 128, 176, 106, 154, 109, 157)(103, 151, 120, 168, 131, 179, 127, 175, 135, 183, 124, 172)(108, 156, 130, 178, 144, 192, 143, 191, 140, 188, 132, 180)(111, 159, 137, 185, 122, 170, 126, 174, 141, 189, 136, 184)(112, 160, 138, 186, 119, 167, 118, 166, 133, 181, 123, 171)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 117)(6, 120)(7, 97)(8, 121)(9, 112)(10, 108)(11, 130)(12, 98)(13, 133)(14, 135)(15, 113)(16, 128)(17, 99)(18, 140)(19, 141)(20, 143)(21, 118)(22, 101)(23, 107)(24, 122)(25, 126)(26, 102)(27, 114)(28, 115)(29, 127)(30, 104)(31, 134)(32, 105)(33, 137)(34, 119)(35, 129)(36, 109)(37, 132)(38, 125)(39, 136)(40, 110)(41, 131)(42, 144)(43, 116)(44, 123)(45, 124)(46, 138)(47, 139)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1129
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y1^-1 * Y3)^2, Y3 * Y2^-1 * Y1^-2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y2 * Y3^-1 * Y1^-2, Y2^6, Y3 * Y2 * Y1^2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y1 * Y3^2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^2 * Y1^-1, Y3^-3 * Y2^3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 37, 85, 16, 64)(4, 52, 11, 59, 31, 79, 12, 60)(6, 54, 19, 67, 7, 55, 9, 57)(10, 58, 25, 73, 43, 91, 26, 74)(14, 62, 34, 82, 18, 66, 33, 81)(15, 63, 36, 84, 17, 65, 35, 83)(20, 68, 38, 86, 44, 92, 32, 80)(21, 69, 29, 77, 22, 70, 28, 76)(23, 71, 30, 78, 24, 72, 27, 75)(39, 87, 45, 93, 42, 90, 48, 96)(40, 88, 47, 95, 41, 89, 46, 94)(97, 145, 99, 147, 110, 158, 135, 183, 117, 165, 102, 150)(98, 146, 105, 153, 123, 171, 141, 189, 129, 177, 107, 155)(100, 148, 113, 161, 138, 186, 120, 168, 121, 169, 104, 152)(101, 149, 106, 154, 125, 173, 144, 192, 132, 180, 109, 157)(103, 151, 116, 164, 127, 175, 114, 162, 136, 184, 119, 167)(108, 156, 128, 176, 139, 187, 126, 174, 142, 190, 131, 179)(111, 159, 137, 185, 118, 166, 122, 170, 140, 188, 133, 181)(112, 160, 134, 182, 115, 163, 124, 172, 143, 191, 130, 178)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 105)(6, 116)(7, 97)(8, 99)(9, 124)(10, 126)(11, 128)(12, 98)(13, 134)(14, 136)(15, 138)(16, 101)(17, 137)(18, 135)(19, 123)(20, 133)(21, 122)(22, 102)(23, 121)(24, 103)(25, 140)(26, 104)(27, 142)(28, 144)(29, 143)(30, 141)(31, 113)(32, 115)(33, 112)(34, 107)(35, 109)(36, 108)(37, 110)(38, 139)(39, 120)(40, 118)(41, 119)(42, 117)(43, 125)(44, 127)(45, 132)(46, 130)(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) :: { ( 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 E21.1130
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 8^12, 12^8 ]

E21.1138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 19, 67)(12, 60, 20, 68)(13, 61, 21, 69)(14, 62, 22, 70)(15, 63, 23, 71)(16, 64, 24, 72)(17, 65, 25, 73)(18, 66, 26, 74)(27, 75, 37, 85)(28, 76, 38, 86)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 41, 89)(32, 80, 42, 90)(33, 81, 43, 91)(34, 82, 44, 92)(35, 83, 45, 93)(36, 84, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 110, 158)(102, 150, 113, 161, 114, 162)(104, 152, 117, 165, 118, 166)(106, 154, 121, 169, 122, 170)(107, 155, 123, 171, 124, 172)(108, 156, 125, 173, 126, 174)(111, 159, 129, 177, 128, 176)(112, 160, 130, 178, 131, 179)(115, 163, 133, 181, 134, 182)(116, 164, 135, 183, 136, 184)(119, 167, 139, 187, 138, 186)(120, 168, 140, 188, 141, 189)(127, 175, 143, 191, 132, 180)(137, 185, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 102)(5, 111)(6, 97)(7, 115)(8, 106)(9, 119)(10, 98)(11, 108)(12, 99)(13, 127)(14, 128)(15, 112)(16, 101)(17, 130)(18, 129)(19, 116)(20, 103)(21, 137)(22, 138)(23, 120)(24, 105)(25, 140)(26, 139)(27, 143)(28, 110)(29, 113)(30, 109)(31, 126)(32, 124)(33, 132)(34, 125)(35, 123)(36, 114)(37, 144)(38, 118)(39, 121)(40, 117)(41, 136)(42, 134)(43, 142)(44, 135)(45, 133)(46, 122)(47, 131)(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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1145
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^3 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 27, 75, 29, 77)(10, 58, 31, 79, 33, 81)(12, 60, 24, 72, 21, 69)(13, 61, 23, 71, 15, 63)(16, 64, 35, 83, 42, 90)(17, 65, 39, 87, 44, 92)(18, 66, 40, 88, 41, 89)(19, 67, 37, 85, 43, 91)(25, 73, 30, 78, 28, 76)(26, 74, 34, 82, 32, 80)(36, 84, 46, 94, 48, 96)(38, 86, 45, 93, 47, 95)(97, 145, 99, 147, 108, 156, 105, 153, 119, 167, 102, 150)(98, 146, 104, 152, 122, 170, 103, 151, 121, 169, 106, 154)(100, 148, 112, 160, 115, 163, 101, 149, 114, 162, 113, 161)(107, 155, 126, 174, 136, 184, 111, 159, 123, 171, 131, 179)(109, 157, 132, 180, 135, 183, 110, 158, 134, 182, 133, 181)(116, 164, 124, 172, 142, 190, 120, 168, 125, 173, 141, 189)(117, 165, 129, 177, 140, 188, 118, 166, 128, 176, 139, 187)(127, 175, 138, 186, 144, 192, 130, 178, 137, 185, 143, 191)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 128)(11, 119)(12, 118)(13, 107)(14, 111)(15, 99)(16, 137)(17, 139)(18, 138)(19, 140)(20, 108)(21, 116)(22, 120)(23, 110)(24, 102)(25, 125)(26, 129)(27, 121)(28, 123)(29, 126)(30, 104)(31, 122)(32, 127)(33, 130)(34, 106)(35, 114)(36, 143)(37, 113)(38, 144)(39, 115)(40, 112)(41, 131)(42, 136)(43, 135)(44, 133)(45, 132)(46, 134)(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) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1143
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 6^16, 12^8 ]

E21.1140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y1^3, Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y2^-2 * Y3, Y2^6, (Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 15, 63, 20, 68)(8, 56, 23, 71, 16, 64)(10, 58, 26, 74, 14, 62)(12, 60, 31, 79, 33, 81)(17, 65, 19, 67, 27, 75)(18, 66, 22, 70, 25, 73)(21, 69, 39, 87, 41, 89)(24, 72, 42, 90, 40, 88)(28, 76, 29, 77, 37, 85)(30, 78, 44, 92, 34, 82)(32, 80, 43, 91, 46, 94)(35, 83, 36, 84, 38, 86)(45, 93, 48, 96, 47, 95)(97, 145, 99, 147, 108, 156, 128, 176, 117, 165, 102, 150)(98, 146, 104, 152, 120, 168, 139, 187, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 141, 189, 127, 175, 112, 160)(101, 149, 113, 161, 134, 182, 142, 190, 130, 178, 114, 162)(103, 151, 118, 166, 137, 185, 143, 191, 131, 179, 109, 157)(105, 153, 122, 170, 140, 188, 144, 192, 138, 186, 123, 171)(107, 155, 125, 173, 115, 163, 135, 183, 119, 167, 126, 174)(110, 158, 132, 180, 116, 164, 136, 184, 121, 169, 129, 177)
	L = (1, 100)(2, 105)(3, 106)(4, 98)(5, 103)(6, 115)(7, 97)(8, 114)(9, 101)(10, 107)(11, 122)(12, 126)(13, 110)(14, 99)(15, 123)(16, 121)(17, 102)(18, 119)(19, 111)(20, 113)(21, 120)(22, 112)(23, 118)(24, 135)(25, 104)(26, 109)(27, 116)(28, 134)(29, 131)(30, 127)(31, 140)(32, 141)(33, 130)(34, 108)(35, 133)(36, 124)(37, 132)(38, 125)(39, 138)(40, 117)(41, 136)(42, 137)(43, 144)(44, 129)(45, 139)(46, 143)(47, 128)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1144
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 6^16, 12^8 ]

E21.1141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^6, (Y2^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 20, 68, 22, 70)(8, 56, 27, 75, 29, 77)(10, 58, 23, 71, 34, 82)(12, 60, 18, 66, 40, 88)(13, 61, 31, 79, 15, 63)(16, 64, 39, 87, 44, 92)(17, 65, 45, 93, 43, 91)(19, 67, 35, 83, 37, 85)(21, 69, 32, 80, 24, 72)(25, 73, 30, 78, 28, 76)(26, 74, 36, 84, 33, 81)(38, 86, 42, 90, 46, 94)(41, 89, 47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 134, 182, 119, 167, 102, 150)(98, 146, 104, 152, 110, 158, 138, 186, 131, 179, 106, 154)(100, 148, 112, 160, 124, 172, 143, 191, 120, 168, 113, 161)(101, 149, 114, 162, 125, 173, 142, 190, 116, 164, 115, 163)(103, 151, 121, 169, 109, 157, 137, 185, 141, 189, 122, 170)(105, 153, 127, 175, 140, 188, 144, 192, 132, 180, 128, 176)(107, 155, 133, 181, 136, 184, 130, 178, 123, 171, 118, 166)(111, 159, 139, 187, 135, 183, 129, 177, 126, 174, 117, 165)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 117)(7, 97)(8, 124)(9, 101)(10, 129)(11, 127)(12, 135)(13, 107)(14, 111)(15, 99)(16, 108)(17, 133)(18, 140)(19, 139)(20, 128)(21, 116)(22, 120)(23, 122)(24, 102)(25, 125)(26, 130)(27, 121)(28, 123)(29, 126)(30, 104)(31, 110)(32, 118)(33, 119)(34, 132)(35, 113)(36, 106)(37, 141)(38, 143)(39, 114)(40, 112)(41, 134)(42, 144)(43, 131)(44, 136)(45, 115)(46, 137)(47, 138)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1142
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 6^16, 12^8 ]

E21.1142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-3, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y3^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 3, 51, 8, 56, 5, 53)(4, 52, 13, 61, 28, 76, 11, 59, 27, 75, 14, 62)(6, 54, 17, 65, 30, 78, 12, 60, 29, 77, 18, 66)(9, 57, 23, 71, 42, 90, 21, 69, 41, 89, 24, 72)(10, 58, 25, 73, 44, 92, 22, 70, 43, 91, 26, 74)(15, 63, 31, 79, 38, 86, 19, 67, 37, 85, 34, 82)(16, 64, 33, 81, 40, 88, 20, 68, 39, 87, 35, 83)(32, 80, 45, 93, 48, 96, 47, 95, 36, 84, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 103, 151)(102, 150, 108, 156)(105, 153, 117, 165)(106, 154, 118, 166)(109, 157, 123, 171)(110, 158, 124, 172)(111, 159, 115, 163)(112, 160, 116, 164)(113, 161, 125, 173)(114, 162, 126, 174)(119, 167, 137, 185)(120, 168, 138, 186)(121, 169, 139, 187)(122, 170, 140, 188)(127, 175, 133, 181)(128, 176, 143, 191)(129, 177, 135, 183)(130, 178, 134, 182)(131, 179, 136, 184)(132, 180, 141, 189)(142, 190, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 108)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 102)(12, 99)(13, 119)(14, 128)(15, 116)(16, 101)(17, 120)(18, 122)(19, 112)(20, 103)(21, 106)(22, 104)(23, 133)(24, 141)(25, 134)(26, 136)(27, 137)(28, 143)(29, 138)(30, 140)(31, 109)(32, 135)(33, 110)(34, 142)(35, 114)(36, 113)(37, 123)(38, 144)(39, 124)(40, 126)(41, 127)(42, 132)(43, 130)(44, 131)(45, 125)(46, 121)(47, 129)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1141
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3, Y1^6, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 8, 56, 22, 70, 46, 94, 31, 79, 12, 60)(4, 52, 14, 62, 10, 58, 27, 75, 37, 85, 15, 63)(6, 54, 19, 67, 42, 90, 39, 87, 16, 64, 20, 68)(9, 57, 26, 74, 23, 71, 40, 88, 41, 89, 18, 66)(11, 59, 28, 76, 25, 73, 47, 95, 44, 92, 29, 77)(13, 61, 33, 81, 36, 84, 48, 96, 30, 78, 34, 82)(24, 72, 45, 93, 43, 91, 38, 86, 35, 83, 32, 80)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 120, 168)(106, 154, 121, 169)(110, 158, 124, 172)(111, 159, 125, 173)(112, 160, 126, 174)(113, 161, 127, 175)(114, 162, 128, 176)(115, 163, 129, 177)(116, 164, 130, 178)(117, 165, 142, 190)(119, 167, 139, 187)(122, 170, 141, 189)(123, 171, 143, 191)(131, 179, 137, 185)(132, 180, 138, 186)(133, 181, 140, 188)(134, 182, 136, 184)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 115)(8, 120)(9, 121)(10, 98)(11, 102)(12, 126)(13, 99)(14, 131)(15, 113)(16, 128)(17, 136)(18, 101)(19, 139)(20, 140)(21, 123)(22, 129)(23, 103)(24, 106)(25, 104)(26, 130)(27, 144)(28, 137)(29, 127)(30, 114)(31, 134)(32, 108)(33, 119)(34, 133)(35, 138)(36, 110)(37, 141)(38, 111)(39, 117)(40, 125)(41, 132)(42, 124)(43, 118)(44, 122)(45, 116)(46, 143)(47, 135)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1139
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-3, Y1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3, Y1^6, Y1^2 * Y2 * Y3 * Y1^2 * Y3, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 17, 65, 5, 53)(3, 51, 8, 56, 22, 70, 44, 92, 30, 78, 12, 60)(4, 52, 14, 62, 33, 81, 45, 93, 35, 83, 15, 63)(6, 54, 19, 67, 41, 89, 46, 94, 42, 90, 20, 68)(9, 57, 26, 74, 31, 79, 37, 85, 43, 91, 27, 75)(10, 58, 11, 59, 29, 77, 38, 86, 48, 96, 28, 76)(13, 61, 16, 64, 36, 84, 47, 95, 23, 71, 32, 80)(18, 66, 39, 87, 34, 82, 24, 72, 25, 73, 40, 88)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 121, 169)(106, 154, 111, 159)(110, 158, 125, 173)(112, 160, 115, 163)(113, 161, 126, 174)(114, 162, 127, 175)(116, 164, 128, 176)(117, 165, 140, 188)(119, 167, 138, 186)(120, 168, 123, 171)(122, 170, 136, 184)(124, 172, 131, 179)(129, 177, 134, 182)(130, 178, 139, 187)(132, 180, 137, 185)(133, 181, 135, 183)(141, 189, 144, 192)(142, 190, 143, 191)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 119)(8, 121)(9, 111)(10, 98)(11, 102)(12, 115)(13, 99)(14, 130)(15, 104)(16, 127)(17, 133)(18, 101)(19, 114)(20, 110)(21, 141)(22, 138)(23, 123)(24, 103)(25, 106)(26, 137)(27, 118)(28, 122)(29, 139)(30, 135)(31, 108)(32, 125)(33, 126)(34, 128)(35, 136)(36, 124)(37, 129)(38, 113)(39, 134)(40, 132)(41, 131)(42, 120)(43, 116)(44, 144)(45, 143)(46, 117)(47, 140)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1140
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1 * Y2 * Y1^-1 * Y2 * Y1, Y1^-1 * Y3 * Y1^2 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 20, 68, 5, 53)(3, 51, 13, 61, 11, 59, 33, 81, 40, 88, 14, 62)(4, 52, 16, 64, 12, 60, 34, 82, 44, 92, 17, 65)(6, 54, 23, 71, 38, 86, 45, 93, 18, 66, 24, 72)(7, 55, 25, 73, 37, 85, 46, 94, 19, 67, 26, 74)(9, 57, 30, 78, 28, 76, 42, 90, 36, 84, 21, 69)(10, 58, 32, 80, 29, 77, 41, 89, 35, 83, 22, 70)(15, 63, 31, 79, 47, 95, 48, 96, 39, 87, 43, 91)(97, 145, 99, 147, 103, 151, 111, 159, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 127, 175, 106, 154, 107, 155)(101, 149, 114, 162, 118, 166, 139, 187, 115, 163, 117, 165)(104, 152, 119, 167, 125, 173, 143, 191, 121, 169, 124, 172)(109, 157, 131, 179, 134, 182, 112, 160, 132, 180, 133, 181)(110, 158, 116, 164, 138, 186, 113, 161, 135, 183, 137, 185)(120, 168, 140, 188, 126, 174, 122, 170, 136, 184, 128, 176)(123, 171, 129, 177, 142, 190, 144, 192, 130, 178, 141, 189)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 115)(6, 111)(7, 97)(8, 121)(9, 107)(10, 108)(11, 127)(12, 98)(13, 132)(14, 135)(15, 99)(16, 131)(17, 116)(18, 117)(19, 118)(20, 137)(21, 139)(22, 101)(23, 124)(24, 136)(25, 125)(26, 140)(27, 130)(28, 143)(29, 104)(30, 120)(31, 105)(32, 122)(33, 141)(34, 142)(35, 133)(36, 134)(37, 112)(38, 109)(39, 138)(40, 126)(41, 113)(42, 110)(43, 114)(44, 128)(45, 144)(46, 123)(47, 119)(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, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1138
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.1146 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), Y2^2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3 * Y2)^2, Y1^2 * Y2^4, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y3, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 19, 67)(7, 55, 22, 70)(8, 56, 23, 71)(10, 58, 28, 76)(12, 60, 31, 79)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 36, 84)(17, 65, 41, 89)(18, 66, 42, 90)(20, 68, 43, 91)(21, 69, 44, 92)(24, 72, 30, 78)(25, 73, 29, 77)(26, 74, 38, 86)(27, 75, 37, 85)(34, 82, 40, 88)(35, 83, 39, 87)(45, 93, 48, 96)(46, 94, 47, 95)(97, 98, 103, 116, 113, 101)(99, 104, 117, 114, 102, 106)(100, 108, 125, 139, 130, 110)(105, 120, 143, 137, 132, 122)(107, 121, 144, 138, 129, 123)(109, 126, 140, 131, 111, 124)(112, 133, 128, 118, 141, 135)(115, 134, 127, 119, 142, 136)(145, 147, 151, 165, 161, 150)(146, 152, 164, 162, 149, 154)(148, 157, 173, 188, 178, 159)(153, 169, 191, 186, 180, 171)(155, 168, 192, 185, 177, 170)(156, 174, 187, 179, 158, 172)(160, 182, 176, 167, 189, 184)(163, 181, 175, 166, 190, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1149
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1147 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3^-1)^2, (Y2^-1 * Y1)^2, (Y1 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y1^2 * Y2^2 * Y3^-1, Y1 * Y2 * Y3 * Y1^-1 * Y2, Y3 * Y2^2 * Y1 * Y3 * Y1, Y1^6, Y2^-1 * Y3^-1 * Y2^-1 * Y1^2 * Y3, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 10, 58, 12, 60)(3, 51, 15, 63, 16, 64)(5, 53, 20, 68, 23, 71)(6, 54, 24, 72, 27, 75)(8, 56, 31, 79, 33, 81)(9, 57, 19, 67, 34, 82)(11, 59, 25, 73, 38, 86)(13, 61, 36, 84, 22, 70)(14, 62, 43, 91, 21, 69)(17, 65, 41, 89, 28, 76)(18, 66, 40, 88, 29, 77)(26, 74, 39, 87, 35, 83)(30, 78, 47, 95, 48, 96)(32, 80, 37, 85, 42, 90)(44, 92, 46, 94, 45, 93)(97, 98, 104, 126, 117, 101)(99, 109, 136, 130, 133, 107)(100, 113, 139, 143, 135, 108)(102, 115, 125, 141, 112, 121)(103, 116, 122, 144, 127, 124)(105, 120, 118, 111, 140, 128)(106, 131, 119, 110, 137, 129)(114, 132, 123, 134, 138, 142)(145, 147, 158, 186, 170, 150)(146, 153, 164, 190, 161, 155)(148, 162, 179, 176, 152, 160)(149, 163, 191, 182, 185, 166)(151, 168, 177, 181, 187, 173)(154, 180, 172, 189, 174, 178)(156, 169, 192, 188, 167, 157)(159, 175, 171, 183, 184, 165)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1148
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.1148 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), Y2^2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3 * Y2)^2, Y1^2 * Y2^4, Y1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1 * Y3, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
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, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 22, 70, 118, 166)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(12, 60, 108, 156, 31, 79, 127, 175)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 36, 84, 132, 180)(17, 65, 113, 161, 41, 89, 137, 185)(18, 66, 114, 162, 42, 90, 138, 186)(20, 68, 116, 164, 43, 91, 139, 187)(21, 69, 117, 165, 44, 92, 140, 188)(24, 72, 120, 168, 30, 78, 126, 174)(25, 73, 121, 169, 29, 77, 125, 173)(26, 74, 122, 170, 38, 86, 134, 182)(27, 75, 123, 171, 37, 85, 133, 181)(34, 82, 130, 178, 40, 88, 136, 184)(35, 83, 131, 179, 39, 87, 135, 183)(45, 93, 141, 189, 48, 96, 144, 192)(46, 94, 142, 190, 47, 95, 143, 191)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 68)(8, 69)(9, 72)(10, 51)(11, 73)(12, 77)(13, 78)(14, 52)(15, 76)(16, 85)(17, 53)(18, 54)(19, 86)(20, 65)(21, 66)(22, 93)(23, 94)(24, 95)(25, 96)(26, 57)(27, 59)(28, 61)(29, 91)(30, 92)(31, 71)(32, 70)(33, 75)(34, 62)(35, 63)(36, 74)(37, 80)(38, 79)(39, 64)(40, 67)(41, 84)(42, 81)(43, 82)(44, 83)(45, 87)(46, 88)(47, 89)(48, 90)(97, 147)(98, 152)(99, 151)(100, 157)(101, 154)(102, 145)(103, 165)(104, 164)(105, 169)(106, 146)(107, 168)(108, 174)(109, 173)(110, 172)(111, 148)(112, 182)(113, 150)(114, 149)(115, 181)(116, 162)(117, 161)(118, 190)(119, 189)(120, 192)(121, 191)(122, 155)(123, 153)(124, 156)(125, 188)(126, 187)(127, 166)(128, 167)(129, 170)(130, 159)(131, 158)(132, 171)(133, 175)(134, 176)(135, 163)(136, 160)(137, 177)(138, 180)(139, 179)(140, 178)(141, 184)(142, 183)(143, 186)(144, 185)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.1147
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1149 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = (C2 x C2 x A4) : C2 (small group id <96, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3^-1)^2, (Y2^-1 * Y1)^2, (Y1 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y1^2 * Y2^2 * Y3^-1, Y1 * Y2 * Y3 * Y1^-1 * Y2, Y3 * Y2^2 * Y1 * Y3 * Y1, Y1^6, Y2^-1 * Y3^-1 * Y2^-1 * Y1^2 * Y3, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 10, 58, 106, 154, 12, 60, 108, 156)(3, 51, 99, 147, 15, 63, 111, 159, 16, 64, 112, 160)(5, 53, 101, 149, 20, 68, 116, 164, 23, 71, 119, 167)(6, 54, 102, 150, 24, 72, 120, 168, 27, 75, 123, 171)(8, 56, 104, 152, 31, 79, 127, 175, 33, 81, 129, 177)(9, 57, 105, 153, 19, 67, 115, 163, 34, 82, 130, 178)(11, 59, 107, 155, 25, 73, 121, 169, 38, 86, 134, 182)(13, 61, 109, 157, 36, 84, 132, 180, 22, 70, 118, 166)(14, 62, 110, 158, 43, 91, 139, 187, 21, 69, 117, 165)(17, 65, 113, 161, 41, 89, 137, 185, 28, 76, 124, 172)(18, 66, 114, 162, 40, 88, 136, 184, 29, 77, 125, 173)(26, 74, 122, 170, 39, 87, 135, 183, 35, 83, 131, 179)(30, 78, 126, 174, 47, 95, 143, 191, 48, 96, 144, 192)(32, 80, 128, 176, 37, 85, 133, 181, 42, 90, 138, 186)(44, 92, 140, 188, 46, 94, 142, 190, 45, 93, 141, 189)
	L = (1, 50)(2, 56)(3, 61)(4, 65)(5, 49)(6, 67)(7, 68)(8, 78)(9, 72)(10, 83)(11, 51)(12, 52)(13, 88)(14, 89)(15, 92)(16, 73)(17, 91)(18, 84)(19, 77)(20, 74)(21, 53)(22, 63)(23, 62)(24, 70)(25, 54)(26, 96)(27, 86)(28, 55)(29, 93)(30, 69)(31, 76)(32, 57)(33, 58)(34, 85)(35, 71)(36, 75)(37, 59)(38, 90)(39, 60)(40, 82)(41, 81)(42, 94)(43, 95)(44, 80)(45, 64)(46, 66)(47, 87)(48, 79)(97, 147)(98, 153)(99, 158)(100, 162)(101, 163)(102, 145)(103, 168)(104, 160)(105, 164)(106, 180)(107, 146)(108, 169)(109, 156)(110, 186)(111, 175)(112, 148)(113, 155)(114, 179)(115, 191)(116, 190)(117, 159)(118, 149)(119, 157)(120, 177)(121, 192)(122, 150)(123, 183)(124, 189)(125, 151)(126, 178)(127, 171)(128, 152)(129, 181)(130, 154)(131, 176)(132, 172)(133, 187)(134, 185)(135, 184)(136, 165)(137, 166)(138, 170)(139, 173)(140, 167)(141, 174)(142, 161)(143, 182)(144, 188)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1146
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.1150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y1 * Y3^-1 * Y1 * Y3)^2, (Y3^-1 * Y1)^6 ]
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, 37, 85)(22, 70, 30, 78)(23, 71, 31, 79)(24, 72, 38, 86)(25, 73, 33, 81)(26, 74, 39, 87)(27, 75, 40, 88)(28, 76, 36, 84)(29, 77, 41, 89)(32, 80, 42, 90)(34, 82, 43, 91)(35, 83, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 108, 156, 102, 150)(104, 152, 113, 161, 106, 154)(107, 155, 117, 165, 119, 167)(109, 157, 121, 169, 123, 171)(110, 158, 124, 172, 122, 170)(111, 159, 120, 168, 118, 166)(112, 160, 125, 173, 127, 175)(114, 162, 129, 177, 131, 179)(115, 163, 132, 180, 130, 178)(116, 164, 128, 176, 126, 174)(133, 181, 141, 189, 135, 183)(134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187)(138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 99)(5, 102)(6, 97)(7, 113)(8, 103)(9, 106)(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, 117)(23, 120)(24, 107)(25, 110)(26, 121)(27, 124)(28, 109)(29, 116)(30, 125)(31, 128)(32, 112)(33, 115)(34, 129)(35, 132)(36, 114)(37, 136)(38, 135)(39, 142)(40, 141)(41, 140)(42, 139)(43, 144)(44, 143)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1157
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y2^-1), (Y3 * Y2)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y2^4, (Y2^-2 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y3, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 10, 58)(4, 52, 16, 64, 18, 66)(6, 54, 20, 68, 23, 71)(7, 55, 24, 72, 9, 57)(8, 56, 25, 73, 22, 70)(11, 59, 31, 79, 21, 69)(13, 61, 36, 84, 34, 82)(14, 62, 27, 75, 39, 87)(15, 63, 40, 88, 33, 81)(17, 65, 43, 91, 26, 74)(19, 67, 44, 92, 28, 76)(29, 77, 32, 80, 42, 90)(30, 78, 35, 83, 41, 89)(37, 85, 45, 93, 48, 96)(38, 86, 46, 94, 47, 95)(97, 145, 99, 147, 109, 157, 133, 181, 113, 161, 102, 150)(98, 146, 104, 152, 122, 170, 141, 189, 125, 173, 106, 154)(100, 148, 110, 158, 103, 151, 111, 159, 134, 182, 115, 163)(101, 149, 116, 164, 138, 186, 144, 192, 132, 180, 118, 166)(105, 153, 123, 171, 107, 155, 124, 172, 142, 190, 126, 174)(108, 156, 128, 176, 119, 167, 139, 187, 121, 169, 130, 178)(112, 160, 137, 185, 143, 191, 136, 184, 117, 165, 135, 183)(114, 162, 140, 188, 127, 175, 129, 177, 120, 168, 131, 179)
	L = (1, 100)(2, 105)(3, 110)(4, 113)(5, 117)(6, 115)(7, 97)(8, 123)(9, 125)(10, 126)(11, 98)(12, 129)(13, 103)(14, 102)(15, 99)(16, 101)(17, 134)(18, 128)(19, 133)(20, 135)(21, 132)(22, 136)(23, 131)(24, 130)(25, 140)(26, 107)(27, 106)(28, 104)(29, 142)(30, 141)(31, 139)(32, 120)(33, 121)(34, 127)(35, 108)(36, 143)(37, 111)(38, 109)(39, 118)(40, 144)(41, 116)(42, 112)(43, 114)(44, 119)(45, 124)(46, 122)(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, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1155
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 6^16, 12^8 ]

E21.1152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y1^-1, (Y1 * Y2^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-2 * Y1^-1)^2, Y2^6, (Y2^-2 * Y3)^2, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 10, 58)(4, 52, 9, 57, 7, 55)(6, 54, 17, 65, 20, 68)(8, 56, 23, 71, 18, 66)(12, 60, 31, 79, 30, 78)(13, 61, 26, 74, 14, 62)(15, 63, 19, 67, 27, 75)(16, 64, 22, 70, 25, 73)(21, 69, 40, 88, 24, 72)(28, 76, 29, 77, 38, 86)(32, 80, 42, 90, 45, 93)(33, 81, 44, 92, 34, 82)(35, 83, 36, 84, 37, 85)(39, 87, 41, 89, 43, 91)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 108, 156, 128, 176, 117, 165, 102, 150)(98, 146, 104, 152, 120, 168, 138, 186, 124, 172, 106, 154)(100, 148, 111, 159, 133, 181, 142, 190, 130, 178, 112, 160)(101, 149, 113, 161, 134, 182, 141, 189, 127, 175, 114, 162)(103, 151, 118, 166, 137, 185, 143, 191, 131, 179, 109, 157)(105, 153, 122, 170, 140, 188, 144, 192, 139, 187, 123, 171)(107, 155, 125, 173, 116, 164, 136, 184, 119, 167, 126, 174)(110, 158, 132, 180, 115, 163, 135, 183, 121, 169, 129, 177)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 115)(7, 97)(8, 112)(9, 101)(10, 110)(11, 122)(12, 129)(13, 107)(14, 99)(15, 102)(16, 119)(17, 123)(18, 121)(19, 113)(20, 111)(21, 137)(22, 114)(23, 118)(24, 135)(25, 104)(26, 106)(27, 116)(28, 133)(29, 131)(30, 130)(31, 140)(32, 142)(33, 127)(34, 108)(35, 134)(36, 124)(37, 125)(38, 132)(39, 117)(40, 139)(41, 136)(42, 144)(43, 120)(44, 126)(45, 143)(46, 138)(47, 128)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1154
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 6^16, 12^8 ]

E21.1153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^6, (Y3^-2 * Y1)^2, Y2^6, Y1 * Y3^-1 * Y2^-1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 10, 58)(4, 52, 16, 64, 19, 67)(6, 54, 21, 69, 25, 73)(7, 55, 27, 75, 9, 57)(8, 56, 30, 78, 23, 71)(11, 59, 36, 84, 22, 70)(13, 61, 37, 85, 18, 66)(14, 62, 24, 72, 42, 90)(15, 63, 33, 81, 20, 68)(17, 65, 43, 91, 28, 76)(26, 74, 34, 82, 31, 79)(29, 77, 38, 86, 46, 94)(32, 80, 35, 83, 39, 87)(40, 88, 48, 96, 41, 89)(44, 92, 47, 95, 45, 93)(97, 145, 99, 147, 109, 157, 136, 184, 122, 170, 102, 150)(98, 146, 104, 152, 127, 175, 144, 192, 125, 173, 106, 154)(100, 148, 113, 161, 140, 188, 138, 186, 132, 180, 116, 164)(101, 149, 117, 165, 142, 190, 137, 185, 133, 181, 119, 167)(103, 151, 124, 172, 112, 160, 128, 176, 107, 155, 110, 158)(105, 153, 120, 168, 143, 191, 135, 183, 115, 163, 111, 159)(108, 156, 134, 182, 121, 169, 130, 178, 126, 174, 114, 162)(118, 166, 131, 179, 141, 189, 139, 187, 123, 171, 129, 177)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 120)(7, 97)(8, 128)(9, 130)(10, 131)(11, 98)(12, 116)(13, 115)(14, 137)(15, 99)(16, 101)(17, 102)(18, 141)(19, 127)(20, 117)(21, 124)(22, 134)(23, 113)(24, 106)(25, 129)(26, 112)(27, 142)(28, 144)(29, 103)(30, 111)(31, 123)(32, 136)(33, 104)(34, 140)(35, 119)(36, 109)(37, 107)(38, 143)(39, 108)(40, 138)(41, 139)(42, 121)(43, 126)(44, 133)(45, 125)(46, 132)(47, 122)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1156
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 6^16, 12^8 ]

E21.1154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y1^6, (Y1^-2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 16, 64, 5, 53)(3, 51, 8, 56, 20, 68, 36, 84, 29, 77, 12, 60)(4, 52, 14, 62, 32, 80, 37, 85, 26, 74, 10, 58)(6, 54, 15, 63, 34, 82, 38, 86, 21, 69, 18, 66)(9, 57, 25, 73, 17, 65, 35, 83, 41, 89, 22, 70)(11, 59, 27, 75, 45, 93, 47, 95, 43, 91, 24, 72)(13, 61, 28, 76, 44, 92, 48, 96, 39, 87, 31, 79)(23, 71, 42, 90, 30, 78, 46, 94, 33, 81, 40, 88)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 120, 168)(110, 158, 123, 171)(111, 159, 124, 172)(112, 160, 125, 173)(113, 161, 126, 174)(114, 162, 127, 175)(115, 163, 132, 180)(117, 165, 135, 183)(118, 166, 136, 184)(121, 169, 138, 186)(122, 170, 139, 187)(128, 176, 141, 189)(129, 177, 137, 185)(130, 178, 140, 188)(131, 179, 142, 190)(133, 181, 143, 191)(134, 182, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 111)(6, 97)(7, 117)(8, 119)(9, 120)(10, 98)(11, 102)(12, 124)(13, 99)(14, 129)(15, 126)(16, 131)(17, 101)(18, 123)(19, 133)(20, 135)(21, 136)(22, 103)(23, 106)(24, 104)(25, 140)(26, 138)(27, 137)(28, 113)(29, 142)(30, 108)(31, 110)(32, 112)(33, 114)(34, 139)(35, 141)(36, 143)(37, 144)(38, 115)(39, 118)(40, 116)(41, 127)(42, 130)(43, 121)(44, 122)(45, 125)(46, 128)(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) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1152
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), Y3^2 * Y1^-2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^4, (Y3 * Y2)^3, (Y2 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1, R * Y2 * Y3 * R * Y2 * Y3^-2 * Y2, (Y2 * Y1^-3)^2, Y2 * Y3^2 * Y1 * Y2 * Y3^-2 * Y1^-1, (Y2 * Y3^-3)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 17, 65, 5, 53)(3, 51, 11, 59, 29, 77, 39, 87, 33, 81, 13, 61)(4, 52, 9, 57, 22, 70, 18, 66, 6, 54, 10, 58)(8, 56, 23, 71, 45, 93, 37, 85, 47, 95, 25, 73)(12, 60, 31, 79, 44, 92, 34, 82, 14, 62, 28, 76)(15, 63, 24, 72, 46, 94, 38, 86, 48, 96, 26, 74)(16, 64, 35, 83, 42, 90, 21, 69, 40, 88, 32, 80)(19, 67, 36, 84, 43, 91, 27, 75, 41, 89, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 112, 160)(102, 150, 115, 163)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 128, 176)(109, 157, 120, 168)(110, 158, 119, 167)(113, 161, 133, 181)(114, 162, 134, 182)(116, 164, 135, 183)(118, 166, 140, 188)(121, 169, 137, 185)(122, 170, 136, 184)(125, 173, 144, 192)(127, 175, 143, 191)(129, 177, 139, 187)(130, 178, 138, 186)(131, 179, 142, 190)(132, 180, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 103)(5, 106)(6, 97)(7, 118)(8, 120)(9, 116)(10, 98)(11, 127)(12, 125)(13, 124)(14, 99)(15, 119)(16, 132)(17, 102)(18, 101)(19, 131)(20, 114)(21, 137)(22, 113)(23, 142)(24, 141)(25, 111)(26, 104)(27, 136)(28, 107)(29, 140)(30, 112)(31, 135)(32, 115)(33, 110)(34, 109)(35, 139)(36, 138)(37, 144)(38, 143)(39, 130)(40, 126)(41, 128)(42, 123)(43, 117)(44, 129)(45, 134)(46, 133)(47, 122)(48, 121)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1151
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y1^2 * Y3 * Y2, (R * Y1)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y2 * Y1, Y3^6, Y1^-2 * Y3 * Y2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 15, 63, 5, 53)(3, 51, 11, 59, 6, 54, 17, 65, 33, 81, 13, 61)(4, 52, 14, 62, 26, 74, 8, 56, 24, 72, 10, 58)(9, 57, 27, 75, 18, 66, 22, 70, 40, 88, 23, 71)(12, 60, 30, 78, 44, 92, 31, 79, 46, 94, 29, 77)(16, 64, 37, 85, 42, 90, 25, 73, 43, 91, 36, 84)(19, 67, 28, 76, 20, 68, 32, 80, 41, 89, 35, 83)(34, 82, 45, 93, 39, 87, 48, 96, 38, 86, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 105, 153)(102, 150, 115, 163)(103, 151, 118, 166)(106, 154, 125, 173)(107, 155, 127, 175)(108, 156, 129, 177)(109, 157, 128, 176)(110, 158, 121, 169)(112, 160, 120, 168)(113, 161, 117, 165)(114, 162, 132, 180)(116, 164, 135, 183)(119, 167, 138, 186)(122, 170, 140, 188)(123, 171, 137, 185)(124, 172, 136, 184)(126, 174, 144, 192)(130, 178, 142, 190)(131, 179, 143, 191)(133, 181, 141, 189)(134, 182, 139, 187)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 99)(8, 121)(9, 124)(10, 98)(11, 128)(12, 130)(13, 117)(14, 125)(15, 118)(16, 134)(17, 127)(18, 101)(19, 123)(20, 102)(21, 104)(22, 137)(23, 103)(24, 140)(25, 141)(26, 111)(27, 138)(28, 143)(29, 107)(30, 106)(31, 144)(32, 136)(33, 115)(34, 139)(35, 109)(36, 110)(37, 114)(38, 116)(39, 142)(40, 132)(41, 135)(42, 120)(43, 119)(44, 129)(45, 131)(46, 122)(47, 126)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1153
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y1 * Y2^-1 * Y1^-1, (Y1^-1 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-2)^2, Y1^6, (Y3^-1 * Y1^-1)^3, Y2^6, (Y2^2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 32, 80, 21, 69, 8, 56)(5, 53, 11, 59, 28, 76, 33, 81, 17, 65, 14, 62)(7, 55, 19, 67, 13, 61, 30, 78, 35, 83, 18, 66)(10, 58, 26, 74, 37, 85, 44, 92, 36, 84, 25, 73)(15, 63, 31, 79, 43, 91, 45, 93, 38, 86, 20, 68)(22, 70, 40, 88, 29, 77, 41, 89, 24, 72, 34, 82)(27, 75, 39, 87, 46, 94, 48, 96, 47, 95, 42, 90)(97, 145, 99, 147, 106, 154, 123, 171, 111, 159, 101, 149)(98, 146, 103, 151, 116, 164, 135, 183, 118, 166, 104, 152)(100, 148, 107, 155, 125, 173, 138, 186, 122, 170, 109, 157)(102, 150, 113, 161, 130, 178, 142, 190, 132, 180, 114, 162)(105, 153, 120, 168, 110, 158, 127, 175, 131, 179, 121, 169)(108, 156, 126, 174, 139, 187, 143, 191, 137, 185, 119, 167)(112, 160, 128, 176, 140, 188, 144, 192, 141, 189, 129, 177)(115, 163, 133, 181, 117, 165, 136, 184, 124, 172, 134, 182)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 112)(7, 115)(8, 99)(9, 119)(10, 122)(11, 124)(12, 100)(13, 126)(14, 101)(15, 127)(16, 108)(17, 110)(18, 103)(19, 109)(20, 111)(21, 104)(22, 136)(23, 128)(24, 130)(25, 106)(26, 133)(27, 135)(28, 129)(29, 137)(30, 131)(31, 139)(32, 117)(33, 113)(34, 118)(35, 114)(36, 121)(37, 140)(38, 116)(39, 142)(40, 125)(41, 120)(42, 123)(43, 141)(44, 132)(45, 134)(46, 144)(47, 138)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1150
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.1158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3^4, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y1 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1 * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 17, 65)(8, 56, 20, 68)(10, 58, 24, 72)(11, 59, 25, 73)(12, 60, 27, 75)(14, 62, 29, 77)(15, 63, 22, 70)(16, 64, 32, 80)(18, 66, 33, 81)(19, 67, 35, 83)(21, 69, 37, 85)(23, 71, 40, 88)(26, 74, 39, 87)(28, 76, 43, 91)(30, 78, 46, 94)(31, 79, 34, 82)(36, 84, 41, 89)(38, 86, 42, 90)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 107, 155)(102, 150, 112, 160, 108, 156)(104, 152, 117, 165, 114, 162)(106, 154, 119, 167, 115, 163)(109, 157, 121, 169, 125, 173)(111, 159, 122, 170, 127, 175)(113, 161, 123, 171, 128, 176)(116, 164, 129, 177, 133, 181)(118, 166, 130, 178, 135, 183)(120, 168, 131, 179, 136, 184)(124, 172, 140, 188, 137, 185)(126, 174, 141, 189, 138, 186)(132, 180, 143, 191, 139, 187)(134, 182, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 110)(6, 97)(7, 114)(8, 118)(9, 117)(10, 98)(11, 122)(12, 99)(13, 124)(14, 127)(15, 102)(16, 101)(17, 126)(18, 130)(19, 103)(20, 132)(21, 135)(22, 106)(23, 105)(24, 134)(25, 137)(26, 108)(27, 138)(28, 113)(29, 140)(30, 109)(31, 112)(32, 141)(33, 139)(34, 115)(35, 142)(36, 120)(37, 143)(38, 116)(39, 119)(40, 144)(41, 123)(42, 121)(43, 131)(44, 128)(45, 125)(46, 129)(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) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1167
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1 * Y3^-1)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3, (Y2 * Y1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 17, 65)(8, 56, 20, 68)(10, 58, 24, 72)(11, 59, 25, 73)(12, 60, 27, 75)(14, 62, 29, 77)(15, 63, 22, 70)(16, 64, 32, 80)(18, 66, 33, 81)(19, 67, 35, 83)(21, 69, 37, 85)(23, 71, 40, 88)(26, 74, 39, 87)(28, 76, 43, 91)(30, 78, 46, 94)(31, 79, 34, 82)(36, 84, 44, 92)(38, 86, 45, 93)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 107, 155)(102, 150, 112, 160, 108, 156)(104, 152, 117, 165, 114, 162)(106, 154, 119, 167, 115, 163)(109, 157, 121, 169, 125, 173)(111, 159, 122, 170, 127, 175)(113, 161, 123, 171, 128, 176)(116, 164, 129, 177, 133, 181)(118, 166, 130, 178, 135, 183)(120, 168, 131, 179, 136, 184)(124, 172, 140, 188, 137, 185)(126, 174, 141, 189, 138, 186)(132, 180, 139, 187, 143, 191)(134, 182, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 110)(6, 97)(7, 114)(8, 118)(9, 117)(10, 98)(11, 122)(12, 99)(13, 124)(14, 127)(15, 102)(16, 101)(17, 126)(18, 130)(19, 103)(20, 132)(21, 135)(22, 106)(23, 105)(24, 134)(25, 137)(26, 108)(27, 138)(28, 113)(29, 140)(30, 109)(31, 112)(32, 141)(33, 143)(34, 115)(35, 144)(36, 120)(37, 139)(38, 116)(39, 119)(40, 142)(41, 123)(42, 121)(43, 136)(44, 128)(45, 125)(46, 133)(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) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1168
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^-1 * Y3^4, Y1 * Y3^-2 * Y1 * Y3^2, (Y3^-1 * Y1 * Y3 * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 ]
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, 29, 77)(14, 62, 22, 70)(15, 63, 31, 79)(16, 64, 33, 81)(18, 66, 26, 74)(19, 67, 35, 83)(20, 68, 37, 85)(23, 71, 39, 87)(24, 72, 41, 89)(28, 76, 36, 84)(30, 78, 38, 86)(32, 80, 40, 88)(34, 82, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(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, 124, 172, 114, 162)(113, 161, 125, 173, 129, 177)(117, 165, 131, 179, 135, 183)(118, 166, 132, 180, 122, 170)(121, 169, 133, 181, 137, 185)(126, 174, 139, 187, 130, 178)(128, 176, 140, 188, 141, 189)(134, 182, 142, 190, 138, 186)(136, 184, 143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 111)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 124)(12, 99)(13, 126)(14, 108)(15, 114)(16, 101)(17, 128)(18, 102)(19, 132)(20, 103)(21, 134)(22, 116)(23, 122)(24, 105)(25, 136)(26, 106)(27, 139)(28, 112)(29, 140)(30, 125)(31, 130)(32, 109)(33, 141)(34, 113)(35, 142)(36, 120)(37, 143)(38, 133)(39, 138)(40, 117)(41, 144)(42, 121)(43, 129)(44, 123)(45, 127)(46, 137)(47, 131)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1169
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1), (R * Y3)^2, Y2^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2)^12 ]
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, 22, 70, 28, 76)(12, 60, 23, 71, 14, 62)(15, 63, 24, 72, 20, 68)(16, 64, 25, 73, 21, 69)(18, 66, 26, 74, 19, 67)(27, 75, 40, 88, 29, 77)(30, 78, 41, 89, 32, 80)(31, 79, 42, 90, 33, 81)(34, 82, 38, 86, 35, 83)(36, 84, 39, 87, 37, 85)(43, 91, 47, 95, 44, 92)(45, 93, 48, 96, 46, 94)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 104, 152, 118, 166, 106, 154)(100, 148, 111, 159, 123, 171, 112, 160)(101, 149, 109, 157, 124, 172, 113, 161)(103, 151, 116, 164, 125, 173, 117, 165)(105, 153, 120, 168, 136, 184, 121, 169)(108, 156, 126, 174, 114, 162, 127, 175)(110, 158, 128, 176, 115, 163, 129, 177)(119, 167, 137, 185, 122, 170, 138, 186)(130, 178, 139, 187, 132, 180, 141, 189)(131, 179, 140, 188, 133, 181, 142, 190)(134, 182, 143, 191, 135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 119)(9, 101)(10, 122)(11, 123)(12, 104)(13, 110)(14, 99)(15, 130)(16, 132)(17, 115)(18, 106)(19, 102)(20, 131)(21, 133)(22, 136)(23, 109)(24, 134)(25, 135)(26, 113)(27, 118)(28, 125)(29, 107)(30, 139)(31, 141)(32, 140)(33, 142)(34, 120)(35, 111)(36, 121)(37, 112)(38, 116)(39, 117)(40, 124)(41, 143)(42, 144)(43, 137)(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, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1164
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^4, Y2 * Y1 * Y2^-1 * Y1, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y3 * Y2)^2, (R * Y2 * Y3)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 7, 55)(4, 52, 13, 61, 8, 56)(6, 54, 16, 64, 9, 57)(11, 59, 18, 66, 23, 71)(12, 60, 19, 67, 24, 72)(14, 62, 20, 68, 28, 76)(15, 63, 21, 69, 29, 77)(17, 65, 22, 70, 32, 80)(25, 73, 38, 86, 33, 81)(26, 74, 39, 87, 34, 82)(27, 75, 40, 88, 35, 83)(30, 78, 43, 91, 36, 84)(31, 79, 44, 92, 37, 85)(41, 89, 45, 93, 47, 95)(42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 121, 169, 111, 159)(101, 149, 106, 154, 119, 167, 112, 160)(104, 152, 116, 164, 129, 177, 117, 165)(108, 156, 122, 170, 113, 161, 123, 171)(109, 157, 124, 172, 134, 182, 125, 173)(115, 163, 130, 178, 118, 166, 131, 179)(120, 168, 135, 183, 128, 176, 136, 184)(126, 174, 141, 189, 127, 175, 142, 190)(132, 180, 143, 191, 133, 181, 144, 192)(137, 185, 140, 188, 138, 186, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 115)(8, 98)(9, 118)(10, 120)(11, 121)(12, 99)(13, 101)(14, 126)(15, 127)(16, 128)(17, 102)(18, 129)(19, 103)(20, 132)(21, 133)(22, 105)(23, 134)(24, 106)(25, 107)(26, 137)(27, 138)(28, 139)(29, 140)(30, 110)(31, 111)(32, 112)(33, 114)(34, 141)(35, 142)(36, 116)(37, 117)(38, 119)(39, 143)(40, 144)(41, 122)(42, 123)(43, 124)(44, 125)(45, 130)(46, 131)(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, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1165
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1^-1)^2, Y2^4, (Y2^-1 * R * Y2^-1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 7, 55)(4, 52, 13, 61, 8, 56)(6, 54, 16, 64, 9, 57)(11, 59, 18, 66, 23, 71)(12, 60, 19, 67, 24, 72)(14, 62, 20, 68, 28, 76)(15, 63, 21, 69, 29, 77)(17, 65, 22, 70, 32, 80)(25, 73, 38, 86, 33, 81)(26, 74, 39, 87, 34, 82)(27, 75, 40, 88, 35, 83)(30, 78, 43, 91, 36, 84)(31, 79, 44, 92, 37, 85)(41, 89, 47, 95, 45, 93)(42, 90, 48, 96, 46, 94)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 121, 169, 111, 159)(101, 149, 106, 154, 119, 167, 112, 160)(104, 152, 116, 164, 129, 177, 117, 165)(108, 156, 122, 170, 113, 161, 123, 171)(109, 157, 124, 172, 134, 182, 125, 173)(115, 163, 130, 178, 118, 166, 131, 179)(120, 168, 135, 183, 128, 176, 136, 184)(126, 174, 141, 189, 127, 175, 142, 190)(132, 180, 137, 185, 133, 181, 138, 186)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 115)(8, 98)(9, 118)(10, 120)(11, 121)(12, 99)(13, 101)(14, 126)(15, 127)(16, 128)(17, 102)(18, 129)(19, 103)(20, 132)(21, 133)(22, 105)(23, 134)(24, 106)(25, 107)(26, 137)(27, 138)(28, 139)(29, 140)(30, 110)(31, 111)(32, 112)(33, 114)(34, 143)(35, 144)(36, 116)(37, 117)(38, 119)(39, 141)(40, 142)(41, 122)(42, 123)(43, 124)(44, 125)(45, 135)(46, 136)(47, 130)(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, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1166
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y2 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, (Y3 * Y1^-2)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 14, 62, 30, 78, 42, 90, 38, 86, 12, 60, 28, 76, 19, 67, 5, 53)(3, 51, 11, 59, 24, 72, 22, 70, 6, 54, 21, 69, 26, 74, 16, 64, 4, 52, 15, 63, 25, 73, 13, 61)(8, 56, 27, 75, 20, 68, 34, 82, 10, 58, 33, 81, 18, 66, 32, 80, 9, 57, 31, 79, 17, 65, 29, 77)(35, 83, 43, 91, 41, 89, 48, 96, 37, 85, 45, 93, 40, 88, 47, 95, 36, 84, 44, 92, 39, 87, 46, 94)(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, 135, 183)(111, 159, 132, 180)(112, 160, 136, 184)(114, 162, 134, 182)(115, 163, 121, 169)(116, 164, 119, 167)(117, 165, 133, 181)(118, 166, 137, 185)(122, 170, 138, 186)(123, 171, 139, 187)(125, 173, 142, 190)(127, 175, 140, 188)(128, 176, 143, 191)(129, 177, 141, 189)(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, 136)(14, 99)(15, 133)(16, 137)(17, 134)(18, 119)(19, 122)(20, 101)(21, 131)(22, 135)(23, 113)(24, 115)(25, 138)(26, 103)(27, 140)(28, 106)(29, 143)(30, 104)(31, 141)(32, 144)(33, 139)(34, 142)(35, 111)(36, 117)(37, 107)(38, 116)(39, 112)(40, 118)(41, 109)(42, 120)(43, 127)(44, 129)(45, 123)(46, 128)(47, 130)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1161
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3)^2, Y3 * Y2 * Y1^-4, (Y3 * Y1^2)^2, (Y3 * Y2)^3, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^2 * Y3 * Y1^-2, (Y2 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 25, 73, 38, 86, 31, 79, 10, 58, 22, 70, 17, 65, 5, 53)(3, 51, 9, 57, 27, 75, 47, 95, 30, 78, 39, 87, 20, 68, 14, 62, 4, 52, 12, 60, 19, 67, 11, 59)(7, 55, 21, 69, 15, 63, 36, 84, 42, 90, 48, 96, 37, 85, 26, 74, 8, 56, 24, 72, 16, 64, 23, 71)(28, 76, 40, 88, 32, 80, 43, 91, 34, 82, 45, 93, 35, 83, 46, 94, 29, 77, 41, 89, 33, 81, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 124, 172)(106, 154, 126, 174)(107, 155, 128, 176)(108, 156, 130, 178)(110, 158, 131, 179)(112, 160, 114, 162)(113, 161, 123, 171)(116, 164, 134, 182)(117, 165, 136, 184)(118, 166, 138, 186)(119, 167, 139, 187)(120, 168, 141, 189)(122, 170, 142, 190)(125, 173, 135, 183)(127, 175, 133, 181)(129, 177, 143, 191)(132, 180, 140, 188)(137, 185, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 125)(10, 99)(11, 129)(12, 124)(13, 126)(14, 128)(15, 127)(16, 101)(17, 115)(18, 133)(19, 113)(20, 102)(21, 137)(22, 103)(23, 140)(24, 136)(25, 138)(26, 139)(27, 134)(28, 108)(29, 105)(30, 109)(31, 111)(32, 110)(33, 107)(34, 135)(35, 143)(36, 142)(37, 114)(38, 123)(39, 130)(40, 120)(41, 117)(42, 121)(43, 122)(44, 119)(45, 144)(46, 132)(47, 131)(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, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1162
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y1^-2 * Y2)^2, Y2 * Y3 * Y1^-4, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y2)^3, Y1 * Y3 * Y1^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 10, 58, 22, 70, 38, 86, 34, 82, 13, 61, 25, 73, 17, 65, 5, 53)(3, 51, 9, 57, 20, 68, 14, 62, 4, 52, 12, 60, 32, 80, 47, 95, 29, 77, 39, 87, 19, 67, 11, 59)(7, 55, 21, 69, 15, 63, 26, 74, 8, 56, 24, 72, 16, 64, 36, 84, 42, 90, 48, 96, 37, 85, 23, 71)(27, 75, 40, 88, 30, 78, 43, 91, 28, 76, 41, 89, 31, 79, 44, 92, 33, 81, 45, 93, 35, 83, 46, 94)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 123, 171)(106, 154, 125, 173)(107, 155, 126, 174)(108, 156, 129, 177)(110, 158, 131, 179)(112, 160, 130, 178)(113, 161, 116, 164)(114, 162, 133, 181)(117, 165, 136, 184)(118, 166, 138, 186)(119, 167, 139, 187)(120, 168, 141, 189)(122, 170, 142, 190)(124, 172, 135, 183)(127, 175, 143, 191)(128, 176, 134, 182)(132, 180, 140, 188)(137, 185, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 124)(10, 99)(11, 127)(12, 123)(13, 125)(14, 126)(15, 114)(16, 101)(17, 128)(18, 111)(19, 134)(20, 102)(21, 137)(22, 103)(23, 140)(24, 136)(25, 138)(26, 139)(27, 108)(28, 105)(29, 109)(30, 110)(31, 107)(32, 113)(33, 135)(34, 133)(35, 143)(36, 142)(37, 130)(38, 115)(39, 129)(40, 120)(41, 117)(42, 121)(43, 122)(44, 119)(45, 144)(46, 132)(47, 131)(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, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1163
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, Y3^4, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2^-3 * 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, 7, 55, 19, 67)(6, 54, 20, 68, 24, 72, 9, 57)(10, 58, 28, 76, 12, 60, 30, 78)(14, 62, 32, 80, 41, 89, 33, 81)(15, 63, 35, 83, 16, 64, 36, 84)(18, 66, 38, 86, 21, 69, 37, 85)(22, 70, 25, 73, 42, 90, 34, 82)(26, 74, 43, 91, 27, 75, 44, 92)(29, 77, 46, 94, 31, 79, 45, 93)(39, 87, 47, 95, 40, 88, 48, 96)(97, 145, 99, 147, 110, 158, 123, 171, 106, 154, 125, 173, 143, 191, 133, 181, 113, 161, 131, 179, 118, 166, 102, 150)(98, 146, 105, 153, 121, 169, 111, 159, 103, 151, 117, 165, 136, 184, 141, 189, 124, 172, 139, 187, 128, 176, 107, 155)(100, 148, 114, 162, 135, 183, 142, 190, 126, 174, 140, 188, 129, 177, 109, 157, 101, 149, 116, 164, 130, 178, 112, 160)(104, 152, 119, 167, 137, 185, 122, 170, 108, 156, 127, 175, 144, 192, 134, 182, 115, 163, 132, 180, 138, 186, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 103)(9, 122)(10, 101)(11, 127)(12, 98)(13, 125)(14, 130)(15, 119)(16, 99)(17, 126)(18, 102)(19, 124)(20, 123)(21, 120)(22, 135)(23, 112)(24, 114)(25, 110)(26, 116)(27, 105)(28, 113)(29, 107)(30, 115)(31, 109)(32, 143)(33, 144)(34, 137)(35, 141)(36, 142)(37, 139)(38, 140)(39, 138)(40, 118)(41, 121)(42, 136)(43, 134)(44, 133)(45, 132)(46, 131)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1158
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3^-1)^2, Y3^-2 * Y1^2, (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y1 * Y2^-1)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y2^-1 * Y3^-1 * Y2^3 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-3 * Y1^-1, (Y3 * Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 23, 71, 11, 59)(4, 52, 17, 65, 7, 55, 19, 67)(6, 54, 20, 68, 24, 72, 9, 57)(10, 58, 28, 76, 12, 60, 30, 78)(14, 62, 32, 80, 41, 89, 33, 81)(15, 63, 37, 85, 16, 64, 38, 86)(18, 66, 39, 87, 21, 69, 34, 82)(22, 70, 25, 73, 42, 90, 40, 88)(26, 74, 46, 94, 27, 75, 47, 95)(29, 77, 48, 96, 31, 79, 43, 91)(35, 83, 44, 92, 36, 84, 45, 93)(97, 145, 99, 147, 110, 158, 130, 178, 113, 161, 133, 181, 140, 188, 123, 171, 106, 154, 125, 173, 118, 166, 102, 150)(98, 146, 105, 153, 121, 169, 139, 187, 124, 172, 142, 190, 132, 180, 111, 159, 103, 151, 117, 165, 128, 176, 107, 155)(100, 148, 114, 162, 129, 177, 109, 157, 101, 149, 116, 164, 136, 184, 144, 192, 126, 174, 143, 191, 131, 179, 112, 160)(104, 152, 119, 167, 137, 185, 135, 183, 115, 163, 134, 182, 141, 189, 122, 170, 108, 156, 127, 175, 138, 186, 120, 168)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 103)(9, 122)(10, 101)(11, 127)(12, 98)(13, 125)(14, 131)(15, 119)(16, 99)(17, 126)(18, 102)(19, 124)(20, 123)(21, 120)(22, 129)(23, 112)(24, 114)(25, 140)(26, 116)(27, 105)(28, 113)(29, 107)(30, 115)(31, 109)(32, 118)(33, 138)(34, 142)(35, 137)(36, 110)(37, 139)(38, 144)(39, 143)(40, 141)(41, 132)(42, 128)(43, 134)(44, 136)(45, 121)(46, 135)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1159
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-3, (Y3^-1, Y1^-1), (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1, (R * Y1)^2, Y1^4, (Y2^-1 * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 15, 63)(4, 52, 10, 58, 26, 74, 18, 66)(6, 54, 17, 65, 27, 75, 23, 71)(7, 55, 12, 60, 28, 76, 21, 69)(9, 57, 29, 77, 19, 67, 31, 79)(11, 59, 33, 81, 20, 68, 35, 83)(14, 62, 30, 78, 43, 91, 38, 86)(16, 64, 34, 82, 44, 92, 40, 88)(22, 70, 32, 80, 45, 93, 41, 89)(24, 72, 36, 84, 46, 94, 42, 90)(37, 85, 47, 95, 39, 87, 48, 96)(97, 145, 99, 147, 110, 158, 128, 176, 106, 154, 129, 177, 143, 191, 125, 173, 117, 165, 136, 184, 120, 168, 102, 150)(98, 146, 105, 153, 126, 174, 140, 188, 122, 170, 119, 167, 135, 183, 111, 159, 103, 151, 118, 166, 132, 180, 107, 155)(100, 148, 113, 161, 133, 181, 109, 157, 124, 172, 141, 189, 138, 186, 116, 164, 101, 149, 115, 163, 134, 182, 112, 160)(104, 152, 121, 169, 139, 187, 137, 185, 114, 162, 131, 179, 144, 192, 127, 175, 108, 156, 130, 178, 142, 190, 123, 171)
	L = (1, 100)(2, 106)(3, 107)(4, 108)(5, 114)(6, 118)(7, 97)(8, 122)(9, 123)(10, 124)(11, 130)(12, 98)(13, 129)(14, 133)(15, 131)(16, 99)(17, 128)(18, 103)(19, 102)(20, 136)(21, 101)(22, 127)(23, 137)(24, 134)(25, 116)(26, 117)(27, 141)(28, 104)(29, 119)(30, 143)(31, 113)(32, 105)(33, 140)(34, 109)(35, 112)(36, 110)(37, 142)(38, 144)(39, 120)(40, 111)(41, 115)(42, 139)(43, 135)(44, 121)(45, 125)(46, 126)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1160
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (Y2^-1, Y3), (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^12 ]
Map:: polytopal 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, 37, 85)(30, 78, 38, 86)(31, 79, 39, 87)(32, 80, 40, 88)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 43, 91)(36, 84, 44, 92)(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, 113, 161)(102, 150, 110, 158, 130, 178, 112, 160)(104, 152, 118, 166, 137, 185, 122, 170)(106, 154, 119, 167, 138, 186, 121, 169)(107, 155, 125, 173, 114, 162, 127, 175)(111, 159, 126, 174, 141, 189, 132, 180)(115, 163, 128, 176, 142, 190, 131, 179)(116, 164, 133, 181, 123, 171, 135, 183)(120, 168, 134, 182, 143, 191, 140, 188)(124, 172, 136, 184, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 113)(6, 97)(7, 118)(8, 121)(9, 122)(10, 98)(11, 126)(12, 129)(13, 102)(14, 99)(15, 131)(16, 101)(17, 130)(18, 132)(19, 127)(20, 134)(21, 137)(22, 106)(23, 103)(24, 139)(25, 105)(26, 138)(27, 140)(28, 135)(29, 141)(30, 115)(31, 111)(32, 107)(33, 110)(34, 108)(35, 114)(36, 142)(37, 143)(38, 124)(39, 120)(40, 116)(41, 119)(42, 117)(43, 123)(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, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1171
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1^-1), (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, (R * Y2^-2)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal 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, 19, 67, 27, 75)(12, 60, 23, 71, 14, 62)(15, 63, 24, 72, 21, 69)(16, 64, 25, 73, 22, 70)(18, 66, 26, 74, 20, 68)(28, 76, 37, 85, 29, 77)(30, 78, 39, 87, 32, 80)(31, 79, 42, 90, 33, 81)(34, 82, 40, 88, 35, 83)(36, 84, 41, 89, 38, 86)(43, 91, 47, 95, 44, 92)(45, 93, 48, 96, 46, 94)(97, 145, 99, 147, 107, 155, 113, 161, 101, 149, 109, 157, 123, 171, 106, 154, 98, 146, 104, 152, 115, 163, 102, 150)(100, 148, 111, 159, 124, 172, 118, 166, 103, 151, 117, 165, 125, 173, 121, 169, 105, 153, 120, 168, 133, 181, 112, 160)(108, 156, 126, 174, 116, 164, 129, 177, 110, 158, 128, 176, 122, 170, 138, 186, 119, 167, 135, 183, 114, 162, 127, 175)(130, 178, 139, 187, 134, 182, 142, 190, 131, 179, 140, 188, 137, 185, 144, 192, 136, 184, 143, 191, 132, 180, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 119)(9, 101)(10, 122)(11, 124)(12, 104)(13, 110)(14, 99)(15, 130)(16, 132)(17, 116)(18, 106)(19, 133)(20, 102)(21, 131)(22, 134)(23, 109)(24, 136)(25, 137)(26, 113)(27, 125)(28, 115)(29, 107)(30, 139)(31, 141)(32, 140)(33, 142)(34, 120)(35, 111)(36, 121)(37, 123)(38, 112)(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, 8, 4, 8, 4, 8 ), ( 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 E21.1170
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^4, (Y1 * Y2^-1)^3, Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 29, 77)(12, 60, 34, 82)(13, 61, 23, 71)(15, 63, 38, 86)(16, 64, 26, 74)(18, 66, 42, 90)(20, 68, 45, 93)(22, 70, 31, 79)(25, 73, 36, 84)(28, 76, 41, 89)(30, 78, 44, 92)(32, 80, 39, 87)(33, 81, 43, 91)(35, 83, 46, 94)(37, 85, 40, 88)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 108, 156, 112, 160)(102, 150, 109, 157, 114, 162)(104, 152, 118, 166, 122, 170)(106, 154, 119, 167, 124, 172)(107, 155, 123, 171, 128, 176)(110, 158, 127, 175, 133, 181)(111, 159, 131, 179, 116, 164)(113, 161, 135, 183, 117, 165)(115, 163, 139, 187, 137, 185)(120, 168, 130, 178, 136, 184)(121, 169, 142, 190, 126, 174)(125, 173, 129, 177, 138, 186)(132, 180, 143, 191, 141, 189)(134, 182, 144, 192, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 118)(8, 121)(9, 122)(10, 98)(11, 127)(12, 131)(13, 99)(14, 132)(15, 109)(16, 116)(17, 136)(18, 101)(19, 135)(20, 102)(21, 130)(22, 142)(23, 103)(24, 134)(25, 119)(26, 126)(27, 133)(28, 105)(29, 128)(30, 106)(31, 143)(32, 110)(33, 107)(34, 144)(35, 114)(36, 129)(37, 141)(38, 139)(39, 120)(40, 140)(41, 113)(42, 123)(43, 117)(44, 115)(45, 125)(46, 124)(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) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1187
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^4, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, (Y3^-2 * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2, Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 29, 77)(12, 60, 34, 82)(13, 61, 23, 71)(15, 63, 37, 85)(16, 64, 26, 74)(18, 66, 41, 89)(20, 68, 43, 91)(22, 70, 45, 93)(25, 73, 31, 79)(28, 76, 48, 96)(30, 78, 40, 88)(32, 80, 44, 92)(33, 81, 39, 87)(35, 83, 46, 94)(36, 84, 42, 90)(38, 86, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 108, 156, 112, 160)(102, 150, 109, 157, 114, 162)(104, 152, 118, 166, 122, 170)(106, 154, 119, 167, 124, 172)(107, 155, 127, 175, 128, 176)(110, 158, 125, 173, 132, 180)(111, 159, 131, 179, 116, 164)(113, 161, 134, 182, 136, 184)(115, 163, 138, 186, 120, 168)(117, 165, 133, 181, 140, 188)(121, 169, 142, 190, 126, 174)(123, 171, 143, 191, 139, 187)(129, 177, 137, 185, 141, 189)(130, 178, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 118)(8, 121)(9, 122)(10, 98)(11, 125)(12, 131)(13, 99)(14, 123)(15, 109)(16, 116)(17, 135)(18, 101)(19, 134)(20, 102)(21, 115)(22, 142)(23, 103)(24, 113)(25, 119)(26, 126)(27, 129)(28, 105)(29, 143)(30, 106)(31, 132)(32, 110)(33, 107)(34, 140)(35, 114)(36, 139)(37, 138)(38, 144)(39, 117)(40, 130)(41, 127)(42, 136)(43, 141)(44, 120)(45, 128)(46, 124)(47, 137)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1190
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-2)^2, Y3^-6 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 21, 69)(12, 60, 15, 63)(13, 61, 22, 70)(14, 62, 23, 71)(16, 64, 18, 66)(17, 65, 24, 72)(19, 67, 25, 73)(20, 68, 26, 74)(27, 75, 37, 85)(28, 76, 42, 90)(29, 77, 35, 83)(30, 78, 43, 91)(31, 79, 34, 82)(32, 80, 44, 92)(33, 81, 41, 89)(36, 84, 38, 86)(39, 87, 40, 88)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 111, 159)(102, 150, 114, 162, 115, 163)(104, 152, 118, 166, 108, 156)(106, 154, 112, 160, 121, 169)(107, 155, 123, 171, 120, 168)(110, 158, 128, 176, 130, 178)(113, 161, 117, 165, 133, 181)(116, 164, 136, 184, 124, 172)(119, 167, 140, 188, 127, 175)(122, 170, 135, 183, 138, 186)(125, 173, 126, 174, 132, 180)(129, 177, 141, 189, 144, 192)(131, 179, 139, 187, 134, 182)(137, 185, 142, 190, 143, 191)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 117)(8, 119)(9, 114)(10, 98)(11, 124)(12, 99)(13, 126)(14, 129)(15, 103)(16, 132)(17, 101)(18, 134)(19, 135)(20, 102)(21, 138)(22, 139)(23, 137)(24, 105)(25, 136)(26, 106)(27, 130)(28, 141)(29, 108)(30, 115)(31, 109)(32, 113)(33, 122)(34, 118)(35, 111)(36, 144)(37, 127)(38, 143)(39, 123)(40, 133)(41, 116)(42, 142)(43, 121)(44, 120)(45, 131)(46, 125)(47, 128)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1189
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1, Y1 * Y3^-3 * Y2 * Y3^-1, (Y1 * Y2^-1)^3, (Y3^-2 * Y2^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1 * Y3^-1 * Y1 * Y2^-2 * Y3 * Y2^-1, Y1 * Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 25, 73)(8, 56, 28, 76)(9, 57, 32, 80)(10, 58, 34, 82)(12, 60, 15, 63)(13, 61, 27, 75)(16, 64, 42, 90)(17, 65, 31, 79)(19, 67, 33, 81)(20, 68, 47, 95)(22, 70, 35, 83)(23, 71, 39, 87)(24, 72, 44, 92)(26, 74, 29, 77)(30, 78, 40, 88)(36, 84, 46, 94)(37, 85, 45, 93)(38, 86, 48, 96)(41, 89, 43, 91)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 125, 173, 127, 175)(106, 154, 131, 179, 116, 164)(107, 155, 128, 176, 133, 181)(108, 156, 129, 177, 124, 172)(109, 157, 135, 183, 130, 178)(110, 158, 122, 170, 115, 163)(112, 160, 139, 187, 140, 188)(114, 162, 141, 189, 121, 169)(117, 165, 123, 171, 143, 191)(120, 168, 136, 184, 134, 182)(126, 174, 137, 185, 142, 190)(132, 180, 138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 122)(8, 126)(9, 129)(10, 98)(11, 125)(12, 134)(13, 99)(14, 136)(15, 137)(16, 123)(17, 132)(18, 127)(19, 142)(20, 101)(21, 141)(22, 107)(23, 105)(24, 102)(25, 111)(26, 144)(27, 103)(28, 138)(29, 139)(30, 109)(31, 120)(32, 113)(33, 140)(34, 133)(35, 121)(36, 106)(37, 110)(38, 143)(39, 114)(40, 131)(41, 119)(42, 118)(43, 116)(44, 130)(45, 124)(46, 117)(47, 128)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1188
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-2 * Y2^-1 * Y1, Y3^2 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-2, Y3^-1 * Y2^2 * Y1 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 13, 61)(5, 53, 15, 63)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(9, 57, 25, 73)(10, 58, 29, 77)(12, 60, 22, 70)(14, 62, 35, 83)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 40, 88)(20, 68, 30, 78)(24, 72, 39, 87)(28, 76, 33, 81)(31, 79, 34, 82)(32, 80, 44, 92)(36, 84, 45, 93)(37, 85, 46, 94)(38, 86, 41, 89)(42, 90, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 116, 164, 109, 157)(104, 152, 120, 168, 122, 170)(106, 154, 126, 174, 119, 167)(107, 155, 127, 175, 128, 176)(108, 156, 129, 177, 125, 173)(111, 159, 132, 180, 133, 181)(113, 161, 124, 172, 135, 183)(114, 162, 131, 179, 123, 171)(115, 163, 118, 166, 136, 184)(117, 165, 139, 187, 140, 188)(121, 169, 141, 189, 137, 185)(130, 178, 144, 192, 142, 190)(134, 182, 138, 186, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 111)(5, 113)(6, 97)(7, 102)(8, 121)(9, 123)(10, 98)(11, 120)(12, 99)(13, 130)(14, 128)(15, 122)(16, 134)(17, 107)(18, 101)(19, 132)(20, 137)(21, 110)(22, 103)(23, 138)(24, 140)(25, 112)(26, 142)(27, 117)(28, 105)(29, 141)(30, 133)(31, 108)(32, 109)(33, 139)(34, 126)(35, 144)(36, 114)(37, 125)(38, 131)(39, 143)(40, 127)(41, 115)(42, 116)(43, 118)(44, 119)(45, 124)(46, 135)(47, 129)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1191
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (Y3^-1, Y2), (Y3 * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 14, 62)(4, 52, 16, 64, 17, 65)(6, 54, 10, 58, 20, 68)(7, 55, 22, 70, 9, 57)(11, 59, 28, 76, 19, 67)(12, 60, 23, 71, 30, 78)(13, 61, 32, 80, 33, 81)(15, 63, 35, 83, 24, 72)(18, 66, 36, 84, 37, 85)(21, 69, 39, 87, 26, 74)(25, 73, 42, 90, 34, 82)(27, 75, 43, 91, 38, 86)(29, 77, 44, 92, 45, 93)(31, 79, 47, 95, 40, 88)(41, 89, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 109, 157, 125, 173, 114, 162)(101, 149, 110, 158, 126, 174, 116, 164)(103, 151, 111, 159, 127, 175, 117, 165)(105, 153, 120, 168, 136, 184, 122, 170)(107, 155, 121, 169, 137, 185, 123, 171)(112, 160, 128, 176, 140, 188, 132, 180)(113, 161, 129, 177, 141, 189, 133, 181)(115, 163, 130, 178, 142, 190, 134, 182)(118, 166, 131, 179, 143, 191, 135, 183)(124, 172, 138, 186, 144, 192, 139, 187)
	L = (1, 100)(2, 105)(3, 109)(4, 103)(5, 115)(6, 114)(7, 97)(8, 120)(9, 107)(10, 122)(11, 98)(12, 125)(13, 111)(14, 130)(15, 99)(16, 101)(17, 124)(18, 117)(19, 112)(20, 134)(21, 102)(22, 113)(23, 136)(24, 121)(25, 104)(26, 123)(27, 106)(28, 118)(29, 127)(30, 142)(31, 108)(32, 110)(33, 138)(34, 128)(35, 129)(36, 116)(37, 139)(38, 132)(39, 133)(40, 137)(41, 119)(42, 131)(43, 135)(44, 126)(45, 144)(46, 140)(47, 141)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1183
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2^-1)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^4, (Y3^-1 * Y1^-1)^2, Y2^2 * Y3^-3, (Y3^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 14, 62)(4, 52, 16, 64, 18, 66)(6, 54, 10, 58, 21, 69)(7, 55, 23, 71, 9, 57)(11, 59, 31, 79, 20, 68)(12, 60, 25, 73, 33, 81)(13, 61, 34, 82, 35, 83)(15, 63, 37, 85, 26, 74)(17, 65, 40, 88, 32, 80)(19, 67, 38, 86, 42, 90)(22, 70, 45, 93, 29, 77)(24, 72, 43, 91, 46, 94)(27, 75, 47, 95, 36, 84)(28, 76, 41, 89, 39, 87)(30, 78, 48, 96, 44, 92)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 121, 169, 106, 154)(100, 148, 109, 157, 120, 168, 115, 163)(101, 149, 110, 158, 129, 177, 117, 165)(103, 151, 111, 159, 113, 161, 118, 166)(105, 153, 122, 170, 128, 176, 125, 173)(107, 155, 123, 171, 124, 172, 126, 174)(112, 160, 130, 178, 139, 187, 134, 182)(114, 162, 131, 179, 142, 190, 138, 186)(116, 164, 132, 180, 135, 183, 140, 188)(119, 167, 133, 181, 136, 184, 141, 189)(127, 175, 143, 191, 137, 185, 144, 192)
	L = (1, 100)(2, 105)(3, 109)(4, 113)(5, 116)(6, 115)(7, 97)(8, 122)(9, 124)(10, 125)(11, 98)(12, 120)(13, 118)(14, 132)(15, 99)(16, 101)(17, 108)(18, 137)(19, 111)(20, 139)(21, 140)(22, 102)(23, 142)(24, 103)(25, 128)(26, 126)(27, 104)(28, 121)(29, 123)(30, 106)(31, 136)(32, 107)(33, 135)(34, 110)(35, 144)(36, 134)(37, 138)(38, 117)(39, 112)(40, 114)(41, 119)(42, 143)(43, 129)(44, 130)(45, 131)(46, 127)(47, 141)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1185
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^3 * Y2^-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, 24, 72, 26, 74)(7, 55, 28, 76, 9, 57)(8, 56, 14, 62, 33, 81)(10, 58, 25, 73, 37, 85)(11, 59, 38, 86, 22, 70)(13, 61, 31, 79, 41, 89)(16, 64, 18, 66, 34, 82)(20, 68, 35, 83, 27, 75)(21, 69, 32, 80, 29, 77)(23, 71, 36, 84, 30, 78)(39, 87, 40, 88, 48, 96)(42, 90, 43, 91, 46, 94)(44, 92, 47, 95, 45, 93)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 127, 175, 106, 154)(100, 148, 114, 162, 136, 184, 116, 164)(101, 149, 117, 165, 137, 185, 119, 167)(103, 151, 125, 173, 138, 186, 126, 174)(105, 153, 130, 178, 142, 190, 131, 179)(107, 155, 111, 159, 140, 188, 122, 170)(108, 156, 135, 183, 120, 168, 115, 163)(110, 158, 139, 187, 121, 169, 124, 172)(112, 160, 141, 189, 123, 171, 118, 166)(113, 161, 129, 177, 144, 192, 133, 181)(128, 176, 143, 191, 132, 180, 134, 182)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 118)(6, 121)(7, 97)(8, 128)(9, 107)(10, 132)(11, 98)(12, 130)(13, 136)(14, 112)(15, 125)(16, 99)(17, 101)(18, 104)(19, 134)(20, 106)(21, 108)(22, 113)(23, 120)(24, 131)(25, 123)(26, 126)(27, 102)(28, 115)(29, 129)(30, 133)(31, 142)(32, 114)(33, 111)(34, 117)(35, 119)(36, 116)(37, 122)(38, 124)(39, 143)(40, 138)(41, 141)(42, 109)(43, 135)(44, 127)(45, 144)(46, 140)(47, 139)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1184
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^2, (Y1^-1 * Y3^-1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * R * Y3^-1 * Y1^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 14, 62, 12, 60)(8, 56, 17, 65, 19, 67)(10, 58, 20, 68, 18, 66)(15, 63, 25, 73, 27, 75)(16, 64, 28, 76, 26, 74)(21, 69, 33, 81, 32, 80)(22, 70, 34, 82, 31, 79)(23, 71, 35, 83, 37, 85)(24, 72, 38, 86, 36, 84)(29, 77, 41, 89, 39, 87)(30, 78, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 102, 150)(98, 146, 104, 152, 103, 151, 106, 154)(100, 148, 111, 159, 101, 149, 112, 160)(107, 155, 117, 165, 110, 158, 118, 166)(108, 156, 119, 167, 109, 157, 120, 168)(113, 161, 125, 173, 116, 164, 126, 174)(114, 162, 127, 175, 115, 163, 128, 176)(121, 169, 131, 179, 124, 172, 134, 182)(122, 170, 135, 183, 123, 171, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(132, 180, 141, 189, 133, 181, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 109)(7, 97)(8, 114)(9, 101)(10, 115)(11, 102)(12, 107)(13, 110)(14, 99)(15, 122)(16, 123)(17, 106)(18, 113)(19, 116)(20, 104)(21, 127)(22, 128)(23, 132)(24, 133)(25, 112)(26, 121)(27, 124)(28, 111)(29, 136)(30, 135)(31, 129)(32, 130)(33, 118)(34, 117)(35, 120)(36, 131)(37, 134)(38, 119)(39, 138)(40, 137)(41, 126)(42, 125)(43, 142)(44, 141)(45, 144)(46, 143)(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, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1182
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y1^-1)^2, Y2^-2 * Y3^-3, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * R * Y2 * R * Y3^-1 * Y2^-1, (Y3^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 20, 68)(6, 54, 25, 73, 27, 75)(7, 55, 29, 77, 9, 57)(8, 56, 26, 74, 35, 83)(10, 58, 14, 62, 40, 88)(11, 59, 41, 89, 23, 71)(13, 61, 33, 81, 44, 92)(16, 64, 18, 66, 36, 84)(19, 67, 45, 93, 42, 90)(21, 69, 38, 86, 28, 76)(22, 70, 39, 87, 31, 79)(24, 72, 34, 82, 30, 78)(32, 80, 48, 96, 43, 91)(37, 85, 47, 95, 46, 94)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 129, 177, 106, 154)(100, 148, 114, 162, 128, 176, 117, 165)(101, 149, 118, 166, 140, 188, 120, 168)(103, 151, 126, 174, 115, 163, 127, 175)(105, 153, 132, 180, 138, 186, 134, 182)(107, 155, 123, 171, 133, 181, 111, 159)(108, 156, 116, 164, 121, 169, 139, 187)(110, 158, 141, 189, 122, 170, 125, 173)(112, 160, 142, 190, 124, 172, 119, 167)(113, 161, 136, 184, 144, 192, 131, 179)(130, 178, 143, 191, 135, 183, 137, 185)
	L = (1, 100)(2, 105)(3, 110)(4, 115)(5, 119)(6, 122)(7, 97)(8, 130)(9, 133)(10, 135)(11, 98)(12, 132)(13, 128)(14, 124)(15, 126)(16, 99)(17, 101)(18, 104)(19, 109)(20, 143)(21, 106)(22, 121)(23, 144)(24, 108)(25, 134)(26, 112)(27, 127)(28, 102)(29, 139)(30, 131)(31, 136)(32, 103)(33, 138)(34, 117)(35, 123)(36, 118)(37, 129)(38, 120)(39, 114)(40, 111)(41, 141)(42, 107)(43, 137)(44, 142)(45, 116)(46, 113)(47, 125)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1186
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y1^-6 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 31, 79, 12, 60, 3, 51, 8, 56, 22, 70, 37, 85, 17, 65, 5, 53)(4, 52, 14, 62, 33, 81, 42, 90, 44, 92, 29, 77, 11, 59, 18, 66, 39, 87, 45, 93, 24, 72, 15, 63)(6, 54, 19, 67, 36, 84, 43, 91, 26, 74, 9, 57, 13, 61, 32, 80, 47, 95, 48, 96, 41, 89, 20, 68)(10, 58, 27, 75, 16, 64, 35, 83, 34, 82, 23, 71, 25, 73, 46, 94, 30, 78, 38, 86, 40, 88, 28, 76)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 118, 166)(105, 153, 116, 164)(106, 154, 121, 169)(110, 158, 114, 162)(111, 159, 125, 173)(112, 160, 126, 174)(113, 161, 127, 175)(115, 163, 128, 176)(117, 165, 133, 181)(119, 167, 124, 172)(120, 168, 140, 188)(122, 170, 137, 185)(123, 171, 142, 190)(129, 177, 135, 183)(130, 178, 136, 184)(131, 179, 134, 182)(132, 180, 143, 191)(138, 186, 141, 189)(139, 187, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 119)(8, 116)(9, 121)(10, 98)(11, 102)(12, 126)(13, 99)(14, 108)(15, 130)(16, 110)(17, 132)(18, 101)(19, 111)(20, 106)(21, 138)(22, 124)(23, 140)(24, 103)(25, 104)(26, 129)(27, 122)(28, 120)(29, 136)(30, 114)(31, 143)(32, 125)(33, 142)(34, 128)(35, 127)(36, 131)(37, 141)(38, 113)(39, 123)(40, 115)(41, 135)(42, 144)(43, 117)(44, 118)(45, 139)(46, 137)(47, 134)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1180
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y1^-1, Y3), (R * Y3^-1)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y1^4 * Y3, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 6, 54, 10, 58, 22, 70, 16, 64, 4, 52, 9, 57, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 36, 84, 14, 62, 31, 79, 47, 95, 33, 81, 12, 60, 27, 75, 35, 83, 13, 61)(8, 56, 23, 71, 45, 93, 20, 68, 26, 74, 48, 96, 41, 89, 32, 80, 24, 72, 44, 92, 34, 82, 25, 73)(15, 63, 38, 86, 42, 90, 17, 65, 40, 88, 30, 78, 21, 69, 43, 91, 37, 85, 28, 76, 46, 94, 39, 87)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 113, 161)(102, 150, 116, 164)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 128, 176)(109, 157, 130, 178)(110, 158, 133, 181)(112, 160, 137, 185)(114, 162, 140, 188)(115, 163, 132, 180)(118, 166, 143, 191)(119, 167, 125, 173)(120, 168, 134, 182)(121, 169, 136, 184)(122, 170, 127, 175)(129, 177, 135, 183)(131, 179, 138, 186)(139, 187, 141, 189)(142, 190, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 112)(6, 97)(7, 114)(8, 120)(9, 106)(10, 98)(11, 123)(12, 110)(13, 129)(14, 99)(15, 133)(16, 115)(17, 135)(18, 118)(19, 101)(20, 121)(21, 138)(22, 103)(23, 140)(24, 122)(25, 128)(26, 104)(27, 127)(28, 126)(29, 131)(30, 134)(31, 107)(32, 116)(33, 132)(34, 137)(35, 143)(36, 109)(37, 136)(38, 124)(39, 139)(40, 111)(41, 141)(42, 142)(43, 113)(44, 144)(45, 130)(46, 117)(47, 125)(48, 119)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1177
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y1^-2 * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1^-4 * Y2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2, (Y3 * Y1^-2)^2, Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3 * R * Y2 * R * Y2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 25, 73, 14, 62, 31, 79, 48, 96, 44, 92, 16, 64, 33, 81, 20, 68, 5, 53)(3, 51, 11, 59, 37, 85, 24, 72, 6, 54, 22, 70, 47, 95, 46, 94, 34, 82, 9, 57, 32, 80, 13, 61)(4, 52, 15, 63, 43, 91, 18, 66, 45, 93, 38, 86, 26, 74, 21, 69, 23, 71, 39, 87, 28, 76, 17, 65)(8, 56, 29, 77, 42, 90, 36, 84, 10, 58, 35, 83, 19, 67, 12, 60, 40, 88, 27, 75, 41, 89, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 119, 167)(103, 151, 122, 170)(105, 153, 129, 177)(106, 154, 118, 166)(107, 155, 134, 182)(108, 156, 130, 178)(109, 157, 137, 185)(110, 158, 132, 180)(111, 159, 136, 184)(113, 161, 142, 190)(115, 163, 140, 188)(116, 164, 123, 171)(117, 165, 138, 186)(120, 168, 121, 169)(124, 172, 131, 179)(125, 173, 133, 181)(126, 174, 141, 189)(127, 175, 135, 183)(128, 176, 139, 187)(143, 191, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 115)(6, 97)(7, 123)(8, 111)(9, 106)(10, 98)(11, 129)(12, 110)(13, 113)(14, 99)(15, 127)(16, 132)(17, 138)(18, 142)(19, 117)(20, 143)(21, 101)(22, 134)(23, 126)(24, 137)(25, 114)(26, 128)(27, 124)(28, 103)(29, 116)(30, 130)(31, 104)(32, 144)(33, 135)(34, 119)(35, 133)(36, 141)(37, 139)(38, 136)(39, 107)(40, 118)(41, 140)(42, 109)(43, 131)(44, 120)(45, 112)(46, 121)(47, 125)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1179
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-2 * Y3, (R * Y1)^2, (Y3 * R)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, (Y2 * Y3)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1, Y3^6, Y1 * Y2 * Y1 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 8, 56, 14, 62, 24, 72, 36, 84, 39, 87, 18, 66, 16, 64, 6, 54, 5, 53)(3, 51, 9, 57, 10, 58, 23, 71, 27, 75, 43, 91, 47, 95, 48, 96, 31, 79, 29, 77, 12, 60, 11, 59)(7, 55, 19, 67, 20, 68, 35, 83, 28, 76, 46, 94, 45, 93, 26, 74, 40, 88, 17, 65, 22, 70, 21, 69)(13, 61, 32, 80, 30, 78, 44, 92, 42, 90, 25, 73, 41, 89, 38, 86, 37, 85, 15, 63, 34, 82, 33, 81)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 113, 161)(104, 152, 119, 167)(105, 153, 121, 169)(106, 154, 122, 170)(107, 155, 124, 172)(108, 156, 126, 174)(110, 158, 131, 179)(112, 160, 125, 173)(114, 162, 137, 185)(115, 163, 127, 175)(116, 164, 134, 182)(117, 165, 138, 186)(118, 166, 139, 187)(120, 168, 140, 188)(123, 171, 133, 181)(128, 176, 136, 184)(129, 177, 144, 192)(130, 178, 142, 190)(132, 180, 143, 191)(135, 183, 141, 189)
	L = (1, 100)(2, 104)(3, 106)(4, 110)(5, 98)(6, 97)(7, 116)(8, 120)(9, 119)(10, 123)(11, 105)(12, 99)(13, 126)(14, 132)(15, 129)(16, 101)(17, 117)(18, 102)(19, 131)(20, 124)(21, 115)(22, 103)(23, 139)(24, 135)(25, 134)(26, 113)(27, 143)(28, 141)(29, 107)(30, 138)(31, 108)(32, 140)(33, 128)(34, 109)(35, 142)(36, 114)(37, 130)(38, 111)(39, 112)(40, 118)(41, 133)(42, 137)(43, 144)(44, 121)(45, 136)(46, 122)(47, 127)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1178
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-2 * Y1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2 * Y1^-2 * Y3^-2, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y3^6, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 27, 75, 14, 62, 31, 79, 45, 93, 42, 90, 16, 64, 32, 80, 21, 69, 5, 53)(3, 51, 11, 59, 37, 85, 25, 73, 6, 54, 23, 71, 46, 94, 47, 95, 34, 82, 9, 57, 17, 65, 13, 61)(4, 52, 15, 63, 24, 72, 19, 67, 43, 91, 39, 87, 26, 74, 22, 70, 44, 92, 48, 96, 29, 77, 18, 66)(8, 56, 12, 60, 38, 86, 36, 84, 10, 58, 35, 83, 20, 68, 41, 89, 40, 88, 28, 76, 33, 81, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 120, 168)(103, 151, 122, 170)(105, 153, 128, 176)(106, 154, 109, 157)(107, 155, 114, 162)(108, 156, 130, 178)(110, 158, 132, 180)(111, 159, 134, 182)(113, 161, 140, 188)(116, 164, 138, 186)(117, 165, 124, 172)(118, 166, 136, 184)(119, 167, 129, 177)(121, 169, 123, 171)(125, 173, 126, 174)(127, 175, 144, 192)(131, 179, 139, 187)(133, 181, 137, 185)(135, 183, 143, 191)(141, 189, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 124)(8, 118)(9, 129)(10, 98)(11, 128)(12, 117)(13, 135)(14, 99)(15, 127)(16, 132)(17, 141)(18, 136)(19, 107)(20, 111)(21, 142)(22, 101)(23, 114)(24, 126)(25, 106)(26, 102)(27, 115)(28, 139)(29, 103)(30, 133)(31, 104)(32, 144)(33, 138)(34, 120)(35, 130)(36, 125)(37, 140)(38, 119)(39, 134)(40, 109)(41, 110)(42, 121)(43, 112)(44, 131)(45, 122)(46, 137)(47, 123)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1181
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y1 * Y2^-3, Y3^3 * Y1^-1, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, Y1^4, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 23, 71, 14, 62)(4, 52, 10, 58, 24, 72, 17, 65)(6, 54, 11, 59, 25, 73, 18, 66)(7, 55, 12, 60, 26, 74, 19, 67)(13, 61, 27, 75, 41, 89, 34, 82)(15, 63, 28, 76, 42, 90, 35, 83)(16, 64, 29, 77, 43, 91, 36, 84)(20, 68, 30, 78, 44, 92, 37, 85)(21, 69, 31, 79, 45, 93, 38, 86)(22, 70, 32, 80, 46, 94, 39, 87)(33, 81, 47, 95, 40, 88, 48, 96)(97, 145, 99, 147, 107, 155, 98, 146, 105, 153, 121, 169, 104, 152, 119, 167, 114, 162, 101, 149, 110, 158, 102, 150)(100, 148, 112, 160, 124, 172, 106, 154, 125, 173, 138, 186, 120, 168, 139, 187, 131, 179, 113, 161, 132, 180, 111, 159)(103, 151, 116, 164, 128, 176, 108, 156, 126, 174, 142, 190, 122, 170, 140, 188, 135, 183, 115, 163, 133, 181, 118, 166)(109, 157, 129, 177, 141, 189, 123, 171, 143, 191, 134, 182, 137, 185, 136, 184, 117, 165, 130, 178, 144, 192, 127, 175)
	L = (1, 100)(2, 106)(3, 109)(4, 108)(5, 113)(6, 116)(7, 97)(8, 120)(9, 123)(10, 122)(11, 126)(12, 98)(13, 124)(14, 130)(15, 99)(16, 129)(17, 103)(18, 133)(19, 101)(20, 127)(21, 102)(22, 132)(23, 137)(24, 115)(25, 140)(26, 104)(27, 138)(28, 105)(29, 143)(30, 141)(31, 107)(32, 112)(33, 142)(34, 111)(35, 110)(36, 144)(37, 117)(38, 114)(39, 139)(40, 118)(41, 131)(42, 119)(43, 136)(44, 134)(45, 121)(46, 125)(47, 135)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1172
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1^-1 * Y3 * Y2, (Y2^-1 * Y3)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3^-2 * Y2^2 * Y3 * Y2^-1, (Y1^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 27, 75, 15, 63)(4, 52, 17, 65, 28, 76, 19, 67)(6, 54, 18, 66, 29, 77, 25, 73)(7, 55, 14, 62, 30, 78, 26, 74)(9, 57, 31, 79, 20, 68, 33, 81)(10, 58, 35, 83, 21, 69, 37, 85)(11, 59, 36, 84, 22, 70, 39, 87)(12, 60, 32, 80, 23, 71, 40, 88)(16, 64, 34, 82, 45, 93, 44, 92)(24, 72, 38, 86, 46, 94, 42, 90)(41, 89, 47, 95, 43, 91, 48, 96)(97, 145, 99, 147, 110, 158, 130, 178, 106, 154, 125, 173, 104, 152, 123, 171, 122, 170, 140, 188, 117, 165, 102, 150)(98, 146, 105, 153, 128, 176, 141, 189, 124, 172, 118, 166, 101, 149, 116, 164, 136, 184, 112, 160, 100, 148, 107, 155)(103, 151, 120, 168, 129, 177, 114, 162, 137, 185, 113, 161, 126, 174, 142, 190, 127, 175, 121, 169, 139, 187, 115, 163)(108, 156, 134, 182, 109, 157, 132, 180, 143, 191, 131, 179, 119, 167, 138, 186, 111, 159, 135, 183, 144, 192, 133, 181)
	L = (1, 100)(2, 106)(3, 108)(4, 114)(5, 117)(6, 120)(7, 97)(8, 124)(9, 126)(10, 132)(11, 134)(12, 98)(13, 125)(14, 137)(15, 102)(16, 99)(17, 128)(18, 130)(19, 136)(20, 103)(21, 135)(22, 138)(23, 101)(24, 133)(25, 140)(26, 139)(27, 119)(28, 121)(29, 142)(30, 104)(31, 118)(32, 143)(33, 107)(34, 105)(35, 122)(36, 141)(37, 110)(38, 113)(39, 112)(40, 144)(41, 109)(42, 115)(43, 111)(44, 116)(45, 123)(46, 131)(47, 127)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1175
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), (Y2^-1 * Y3)^2, (R * Y2)^2, Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2^-5, Y1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3^2 * Y1 * Y3 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 4, 52, 16, 64)(6, 54, 17, 65, 7, 55, 18, 66)(9, 57, 21, 69, 10, 58, 24, 72)(11, 59, 25, 73, 12, 60, 26, 74)(14, 62, 31, 79, 15, 63, 34, 82)(19, 67, 37, 85, 20, 68, 38, 86)(22, 70, 41, 89, 23, 71, 44, 92)(27, 75, 47, 95, 28, 76, 48, 96)(29, 77, 39, 87, 30, 78, 40, 88)(32, 80, 42, 90, 33, 81, 43, 91)(35, 83, 45, 93, 36, 84, 46, 94)(97, 145, 99, 147, 110, 158, 128, 176, 116, 164, 103, 151, 104, 152, 100, 148, 111, 159, 129, 177, 115, 163, 102, 150)(98, 146, 105, 153, 118, 166, 138, 186, 124, 172, 108, 156, 101, 149, 106, 154, 119, 167, 139, 187, 123, 171, 107, 155)(109, 157, 122, 170, 142, 190, 134, 182, 140, 188, 126, 174, 112, 160, 121, 169, 141, 189, 133, 181, 137, 185, 125, 173)(113, 161, 131, 179, 144, 192, 127, 175, 136, 184, 120, 168, 114, 162, 132, 180, 143, 191, 130, 178, 135, 183, 117, 165)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 105)(6, 104)(7, 97)(8, 99)(9, 119)(10, 118)(11, 101)(12, 98)(13, 121)(14, 129)(15, 128)(16, 122)(17, 132)(18, 131)(19, 103)(20, 102)(21, 114)(22, 139)(23, 138)(24, 113)(25, 142)(26, 141)(27, 108)(28, 107)(29, 112)(30, 109)(31, 135)(32, 115)(33, 116)(34, 136)(35, 143)(36, 144)(37, 140)(38, 137)(39, 120)(40, 117)(41, 126)(42, 123)(43, 124)(44, 125)(45, 134)(46, 133)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1174
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y2^-2 * Y1^-1 * Y2^-1, Y3^3 * Y1^-1, (Y2^-1, Y1), (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2^-1 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 9, 57, 23, 71, 15, 63)(4, 52, 10, 58, 24, 72, 18, 66)(6, 54, 11, 59, 25, 73, 13, 61)(7, 55, 12, 60, 26, 74, 19, 67)(14, 62, 27, 75, 41, 89, 36, 84)(16, 64, 28, 76, 42, 90, 37, 85)(17, 65, 29, 77, 43, 91, 39, 87)(20, 68, 30, 78, 44, 92, 33, 81)(21, 69, 31, 79, 45, 93, 34, 82)(22, 70, 32, 80, 46, 94, 40, 88)(35, 83, 47, 95, 38, 86, 48, 96)(97, 145, 99, 147, 109, 157, 101, 149, 111, 159, 121, 169, 104, 152, 119, 167, 107, 155, 98, 146, 105, 153, 102, 150)(100, 148, 113, 161, 133, 181, 114, 162, 135, 183, 138, 186, 120, 168, 139, 187, 124, 172, 106, 154, 125, 173, 112, 160)(103, 151, 116, 164, 136, 184, 115, 163, 129, 177, 142, 190, 122, 170, 140, 188, 128, 176, 108, 156, 126, 174, 118, 166)(110, 158, 131, 179, 141, 189, 132, 180, 144, 192, 127, 175, 137, 185, 134, 182, 117, 165, 123, 171, 143, 191, 130, 178)
	L = (1, 100)(2, 106)(3, 110)(4, 108)(5, 114)(6, 116)(7, 97)(8, 120)(9, 123)(10, 122)(11, 126)(12, 98)(13, 129)(14, 124)(15, 132)(16, 99)(17, 134)(18, 103)(19, 101)(20, 127)(21, 102)(22, 135)(23, 137)(24, 115)(25, 140)(26, 104)(27, 138)(28, 105)(29, 144)(30, 141)(31, 107)(32, 113)(33, 117)(34, 109)(35, 118)(36, 112)(37, 111)(38, 142)(39, 143)(40, 139)(41, 133)(42, 119)(43, 131)(44, 130)(45, 121)(46, 125)(47, 128)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1173
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y3^-1)^2, (Y2 * Y3^-1)^2, Y1 * Y2 * Y3^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3^-3 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-2 * Y3, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y3^-1 * R * Y2 * R * Y3 * Y2, Y1 * Y2^6 * Y1 ]
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, 20, 68)(6, 54, 24, 72, 29, 77, 19, 67)(7, 55, 14, 62, 30, 78, 26, 74)(9, 57, 31, 79, 21, 69, 33, 81)(10, 58, 35, 83, 22, 70, 37, 85)(11, 59, 38, 86, 23, 71, 36, 84)(12, 60, 32, 80, 15, 63, 40, 88)(17, 65, 34, 82, 45, 93, 44, 92)(25, 73, 39, 87, 46, 94, 41, 89)(42, 90, 47, 95, 43, 91, 48, 96)(97, 145, 99, 147, 110, 158, 130, 178, 106, 154, 125, 173, 104, 152, 123, 171, 122, 170, 140, 188, 118, 166, 102, 150)(98, 146, 105, 153, 128, 176, 141, 189, 124, 172, 119, 167, 101, 149, 117, 165, 136, 184, 113, 161, 100, 148, 107, 155)(103, 151, 121, 169, 127, 175, 120, 168, 139, 187, 116, 164, 126, 174, 142, 190, 129, 177, 115, 163, 138, 186, 114, 162)(108, 156, 135, 183, 112, 160, 134, 182, 144, 192, 133, 181, 111, 159, 137, 185, 109, 157, 132, 180, 143, 191, 131, 179)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 121)(7, 97)(8, 124)(9, 103)(10, 132)(11, 135)(12, 98)(13, 125)(14, 139)(15, 101)(16, 102)(17, 99)(18, 128)(19, 140)(20, 136)(21, 126)(22, 134)(23, 137)(24, 130)(25, 131)(26, 138)(27, 108)(28, 120)(29, 142)(30, 104)(31, 119)(32, 144)(33, 107)(34, 105)(35, 122)(36, 113)(37, 110)(38, 141)(39, 116)(40, 143)(41, 114)(42, 109)(43, 112)(44, 117)(45, 123)(46, 133)(47, 127)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1176
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), Y2^-1 * Y3^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, Y1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (R * Y1 * Y2)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3, (Y3^-1 * Y2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 17, 65)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 18, 66)(12, 60, 27, 75)(13, 61, 28, 76)(15, 63, 32, 80)(16, 64, 30, 78)(19, 67, 34, 82)(20, 68, 37, 85)(22, 70, 29, 77)(23, 71, 38, 86)(25, 73, 39, 87)(26, 74, 40, 88)(31, 79, 33, 81)(35, 83, 43, 91)(36, 84, 45, 93)(41, 89, 42, 90)(44, 92, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 112, 160)(102, 150, 109, 157, 122, 170, 111, 159)(104, 152, 115, 163, 131, 179, 119, 167)(106, 154, 116, 164, 132, 180, 118, 166)(110, 158, 123, 171, 135, 183, 126, 174)(113, 161, 124, 172, 136, 184, 128, 176)(117, 165, 130, 178, 139, 187, 134, 182)(120, 168, 133, 181, 141, 189, 125, 173)(127, 175, 137, 185, 143, 191, 140, 188)(129, 177, 138, 186, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 121)(12, 102)(13, 99)(14, 125)(15, 101)(16, 122)(17, 129)(18, 131)(19, 106)(20, 103)(21, 128)(22, 105)(23, 132)(24, 127)(25, 109)(26, 107)(27, 120)(28, 138)(29, 140)(30, 141)(31, 110)(32, 142)(33, 117)(34, 113)(35, 116)(36, 114)(37, 137)(38, 136)(39, 133)(40, 144)(41, 123)(42, 130)(43, 124)(44, 126)(45, 143)(46, 134)(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) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1197
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (Y3^-1, Y2), Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^4, (R * Y1 * Y2)^2, (Y2^-1 * Y3)^3, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 17, 65)(8, 56, 21, 69)(10, 58, 24, 72)(11, 59, 18, 66)(12, 60, 27, 75)(13, 61, 28, 76)(15, 63, 32, 80)(16, 64, 30, 78)(19, 67, 37, 85)(20, 68, 29, 77)(22, 70, 39, 87)(23, 71, 34, 82)(25, 73, 41, 89)(26, 74, 42, 90)(31, 79, 38, 86)(33, 81, 40, 88)(35, 83, 48, 96)(36, 84, 43, 91)(44, 92, 47, 95)(45, 93, 46, 94)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 112, 160)(102, 150, 109, 157, 122, 170, 111, 159)(104, 152, 115, 163, 131, 179, 119, 167)(106, 154, 116, 164, 132, 180, 118, 166)(110, 158, 123, 171, 137, 185, 126, 174)(113, 161, 124, 172, 138, 186, 128, 176)(117, 165, 133, 181, 144, 192, 130, 178)(120, 168, 125, 173, 139, 187, 135, 183)(127, 175, 140, 188, 136, 184, 142, 190)(129, 177, 141, 189, 134, 182, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 112)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 121)(12, 102)(13, 99)(14, 125)(15, 101)(16, 122)(17, 129)(18, 131)(19, 106)(20, 103)(21, 124)(22, 105)(23, 132)(24, 136)(25, 109)(26, 107)(27, 139)(28, 141)(29, 142)(30, 120)(31, 110)(32, 143)(33, 144)(34, 113)(35, 116)(36, 114)(37, 138)(38, 117)(39, 140)(40, 137)(41, 135)(42, 134)(43, 127)(44, 123)(45, 130)(46, 126)(47, 133)(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) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1199
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2, Y3^6 * Y1, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3^3 * Y2 * Y3^-3 * 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, 32, 80)(24, 72, 25, 73)(26, 74, 33, 81)(27, 75, 31, 79)(28, 76, 30, 78)(29, 77, 38, 86)(34, 82, 35, 83)(36, 84, 37, 85)(39, 87, 43, 91)(40, 88, 42, 90)(41, 89, 48, 96)(44, 92, 45, 93)(46, 94, 47, 95)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 107, 155, 103, 151, 109, 157)(102, 150, 112, 160, 104, 152, 113, 161)(105, 153, 117, 165, 110, 158, 119, 167)(106, 154, 120, 168, 111, 159, 121, 169)(108, 156, 124, 172, 115, 163, 126, 174)(114, 162, 132, 180, 116, 164, 133, 181)(118, 166, 136, 184, 128, 176, 138, 186)(122, 170, 142, 190, 129, 177, 143, 191)(123, 171, 135, 183, 127, 175, 139, 187)(125, 173, 137, 185, 134, 182, 144, 192)(130, 178, 140, 188, 131, 179, 141, 189)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 110)(6, 97)(7, 115)(8, 98)(9, 118)(10, 99)(11, 121)(12, 125)(13, 120)(14, 128)(15, 101)(16, 130)(17, 131)(18, 102)(19, 134)(20, 104)(21, 112)(22, 137)(23, 113)(24, 140)(25, 141)(26, 106)(27, 107)(28, 139)(29, 116)(30, 135)(31, 109)(32, 144)(33, 111)(34, 143)(35, 142)(36, 136)(37, 138)(38, 114)(39, 117)(40, 123)(41, 129)(42, 127)(43, 119)(44, 132)(45, 133)(46, 126)(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) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1200
Graph:: bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, R * Y2 * R * Y1 * Y2, Y3 * Y1 * Y3^2 * Y2, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 20, 68)(8, 56, 26, 74)(10, 58, 28, 76)(11, 59, 24, 72)(12, 60, 23, 71)(13, 61, 21, 69)(15, 63, 30, 78)(16, 64, 27, 75)(17, 65, 36, 84)(18, 66, 40, 88)(19, 67, 22, 70)(25, 73, 29, 77)(31, 79, 35, 83)(32, 80, 34, 82)(33, 81, 45, 93)(37, 85, 42, 90)(38, 86, 44, 92)(39, 87, 41, 89)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 120, 168, 105, 153)(100, 148, 111, 159, 127, 175, 113, 161)(102, 150, 117, 165, 128, 176, 118, 166)(104, 152, 108, 156, 129, 177, 114, 162)(106, 154, 125, 173, 135, 183, 112, 160)(109, 157, 130, 178, 115, 163, 116, 164)(110, 158, 126, 174, 131, 179, 132, 180)(119, 167, 141, 189, 136, 184, 122, 170)(121, 169, 137, 185, 123, 171, 124, 172)(133, 181, 142, 190, 144, 192, 134, 182)(138, 186, 139, 187, 143, 191, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 114)(6, 97)(7, 111)(8, 118)(9, 113)(10, 98)(11, 127)(12, 124)(13, 99)(14, 115)(15, 116)(16, 134)(17, 130)(18, 137)(19, 101)(20, 138)(21, 139)(22, 140)(23, 102)(24, 129)(25, 103)(26, 123)(27, 105)(28, 133)(29, 142)(30, 106)(31, 125)(32, 107)(33, 117)(34, 143)(35, 109)(36, 135)(37, 110)(38, 136)(39, 120)(40, 128)(41, 144)(42, 122)(43, 126)(44, 132)(45, 121)(46, 119)(47, 141)(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, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1198
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, R * Y2 * Y1 * R * Y2^-1, Y2 * Y3^-1 * Y2 * Y1 * Y3, Y2 * Y3^-2 * Y1 * Y3^-1, Y2 * Y3 * Y1 * Y3^-4, (Y3 * Y1 * Y3^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 14, 62)(5, 53, 9, 57)(6, 54, 20, 68)(8, 56, 26, 74)(10, 58, 28, 76)(11, 59, 24, 72)(12, 60, 33, 81)(13, 61, 22, 70)(15, 63, 30, 78)(16, 64, 27, 75)(17, 65, 36, 84)(18, 66, 23, 71)(19, 67, 21, 69)(25, 73, 29, 77)(31, 79, 41, 89)(32, 80, 35, 83)(34, 82, 45, 93)(37, 85, 47, 95)(38, 86, 40, 88)(39, 87, 43, 91)(42, 90, 48, 96)(44, 92, 46, 94)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 120, 168, 105, 153)(100, 148, 111, 159, 127, 175, 113, 161)(102, 150, 117, 165, 128, 176, 118, 166)(104, 152, 114, 162, 130, 178, 108, 156)(106, 154, 112, 160, 134, 182, 125, 173)(109, 157, 116, 164, 115, 163, 131, 179)(110, 158, 126, 174, 137, 185, 132, 180)(119, 167, 141, 189, 129, 177, 122, 170)(121, 169, 124, 172, 123, 171, 136, 184)(133, 181, 135, 183, 144, 192, 142, 190)(138, 186, 140, 188, 143, 191, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 114)(6, 97)(7, 113)(8, 117)(9, 111)(10, 98)(11, 127)(12, 124)(13, 99)(14, 109)(15, 131)(16, 135)(17, 116)(18, 136)(19, 101)(20, 138)(21, 139)(22, 140)(23, 102)(24, 130)(25, 103)(26, 121)(27, 105)(28, 144)(29, 142)(30, 106)(31, 125)(32, 107)(33, 128)(34, 118)(35, 143)(36, 134)(37, 110)(38, 120)(39, 129)(40, 133)(41, 115)(42, 141)(43, 132)(44, 126)(45, 123)(46, 119)(47, 122)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1201
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), (Y3 * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^4, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 18, 66)(6, 54, 23, 71, 24, 72)(7, 55, 27, 75, 9, 57)(8, 56, 14, 62, 30, 78)(10, 58, 33, 81, 34, 82)(11, 59, 36, 84, 21, 69)(13, 61, 39, 87, 35, 83)(16, 64, 31, 79, 38, 86)(19, 67, 32, 80, 43, 91)(20, 68, 29, 77, 42, 90)(22, 70, 45, 93, 26, 74)(25, 73, 44, 92, 48, 96)(28, 76, 41, 89, 46, 94)(37, 85, 40, 88, 47, 95)(97, 145, 99, 147, 109, 157, 115, 163, 100, 148, 110, 158, 136, 184, 122, 170, 103, 151, 112, 160, 121, 169, 102, 150)(98, 146, 104, 152, 124, 172, 128, 176, 105, 153, 125, 173, 143, 191, 120, 168, 107, 155, 127, 175, 131, 179, 106, 154)(101, 149, 116, 164, 140, 188, 139, 187, 117, 165, 108, 156, 133, 181, 130, 178, 113, 161, 134, 182, 142, 190, 118, 166)(111, 159, 137, 185, 119, 167, 114, 162, 138, 186, 135, 183, 141, 189, 132, 180, 126, 174, 144, 192, 129, 177, 123, 171)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 117)(6, 115)(7, 97)(8, 125)(9, 107)(10, 128)(11, 98)(12, 134)(13, 136)(14, 112)(15, 138)(16, 99)(17, 101)(18, 132)(19, 122)(20, 108)(21, 113)(22, 139)(23, 141)(24, 106)(25, 109)(26, 102)(27, 114)(28, 143)(29, 127)(30, 111)(31, 104)(32, 120)(33, 119)(34, 118)(35, 124)(36, 123)(37, 142)(38, 116)(39, 144)(40, 121)(41, 135)(42, 126)(43, 130)(44, 133)(45, 129)(46, 140)(47, 131)(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, 8, 4, 8, 4, 8 ), ( 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 E21.1192
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1 * Y2)^2, (Y1^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 16, 64, 18, 66)(6, 54, 22, 70, 19, 67)(7, 55, 26, 74, 9, 57)(8, 56, 28, 76, 30, 78)(10, 58, 23, 71, 32, 80)(11, 59, 36, 84, 20, 68)(13, 61, 38, 86, 34, 82)(14, 62, 40, 88, 27, 75)(17, 65, 31, 79, 42, 90)(21, 69, 33, 81, 43, 91)(24, 72, 41, 89, 47, 95)(25, 73, 35, 83, 46, 94)(29, 77, 39, 87, 45, 93)(37, 85, 48, 96, 44, 92)(97, 145, 99, 147, 109, 157, 131, 179, 122, 170, 124, 172, 144, 192, 139, 187, 116, 164, 138, 186, 120, 168, 102, 150)(98, 146, 104, 152, 125, 173, 142, 190, 132, 180, 136, 184, 140, 188, 115, 163, 100, 148, 113, 161, 130, 178, 106, 154)(101, 149, 110, 158, 137, 185, 121, 169, 114, 162, 108, 156, 133, 181, 128, 176, 105, 153, 127, 175, 141, 189, 117, 165)(103, 151, 123, 171, 134, 182, 129, 177, 112, 160, 126, 174, 143, 191, 119, 167, 107, 155, 111, 159, 135, 183, 118, 166)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 116)(6, 119)(7, 97)(8, 99)(9, 107)(10, 129)(11, 98)(12, 126)(13, 135)(14, 104)(15, 138)(16, 101)(17, 108)(18, 132)(19, 139)(20, 112)(21, 118)(22, 142)(23, 121)(24, 141)(25, 102)(26, 114)(27, 127)(28, 123)(29, 143)(30, 113)(31, 124)(32, 115)(33, 131)(34, 120)(35, 106)(36, 122)(37, 109)(38, 140)(39, 133)(40, 111)(41, 134)(42, 136)(43, 128)(44, 137)(45, 130)(46, 117)(47, 144)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 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 E21.1195
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y1^3, (Y1 * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^2 * Y1^-1)^2, Y3^6, R * Y3^-1 * Y1 * Y2 * Y1^-1 * R * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 13, 61)(4, 52, 15, 63, 17, 65)(6, 54, 22, 70, 23, 71)(7, 55, 24, 72, 9, 57)(8, 56, 26, 74, 27, 75)(10, 58, 31, 79, 32, 80)(11, 59, 33, 81, 20, 68)(14, 62, 28, 76, 36, 84)(16, 64, 38, 86, 34, 82)(18, 66, 30, 78, 42, 90)(19, 67, 43, 91, 44, 92)(21, 69, 46, 94, 40, 88)(25, 73, 45, 93, 47, 95)(29, 77, 41, 89, 37, 85)(35, 83, 39, 87, 48, 96)(97, 145, 99, 147, 103, 151, 110, 158, 121, 169, 122, 170, 135, 183, 136, 184, 112, 160, 114, 162, 100, 148, 102, 150)(98, 146, 104, 152, 107, 155, 124, 172, 130, 178, 139, 187, 144, 192, 119, 167, 125, 173, 126, 174, 105, 153, 106, 154)(101, 149, 115, 163, 111, 159, 132, 180, 133, 181, 108, 156, 131, 179, 128, 176, 141, 189, 138, 186, 116, 164, 117, 165)(109, 157, 129, 177, 118, 166, 143, 191, 140, 188, 120, 168, 142, 190, 137, 185, 123, 171, 113, 161, 127, 175, 134, 182)
	L = (1, 100)(2, 105)(3, 102)(4, 112)(5, 116)(6, 114)(7, 97)(8, 106)(9, 125)(10, 126)(11, 98)(12, 132)(13, 127)(14, 99)(15, 101)(16, 135)(17, 137)(18, 136)(19, 117)(20, 141)(21, 138)(22, 109)(23, 139)(24, 143)(25, 103)(26, 110)(27, 142)(28, 104)(29, 144)(30, 119)(31, 123)(32, 108)(33, 134)(34, 107)(35, 133)(36, 115)(37, 111)(38, 113)(39, 121)(40, 122)(41, 120)(42, 128)(43, 124)(44, 118)(45, 131)(46, 140)(47, 129)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 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 E21.1193
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y1^3, Y2 * Y1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^2 * Y1^-1)^2, Y1 * Y2^6 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 18, 66, 19, 67)(8, 56, 23, 71, 21, 69)(10, 58, 26, 74, 16, 64)(12, 60, 30, 78, 27, 75)(13, 61, 25, 73, 15, 63)(17, 65, 22, 70, 28, 76)(20, 68, 38, 86, 41, 89)(24, 72, 35, 83, 36, 84)(29, 77, 40, 88, 34, 82)(31, 79, 44, 92, 47, 95)(32, 80, 45, 93, 33, 81)(37, 85, 39, 87, 43, 91)(42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 127, 175, 139, 187, 119, 167, 105, 153, 121, 169, 141, 189, 138, 186, 116, 164, 102, 150)(98, 146, 104, 152, 120, 168, 140, 188, 128, 176, 118, 166, 103, 151, 115, 163, 136, 184, 142, 190, 123, 171, 106, 154)(100, 148, 112, 160, 133, 181, 144, 192, 132, 180, 111, 159, 101, 149, 113, 161, 134, 182, 143, 191, 125, 173, 107, 155)(109, 157, 130, 178, 117, 165, 137, 185, 122, 170, 129, 177, 110, 158, 131, 179, 114, 162, 135, 183, 124, 172, 126, 174)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 104)(7, 97)(8, 114)(9, 101)(10, 113)(11, 121)(12, 128)(13, 107)(14, 111)(15, 99)(16, 124)(17, 122)(18, 119)(19, 117)(20, 135)(21, 102)(22, 112)(23, 115)(24, 125)(25, 110)(26, 118)(27, 129)(28, 106)(29, 131)(30, 141)(31, 144)(32, 126)(33, 108)(34, 120)(35, 136)(36, 130)(37, 116)(38, 139)(39, 134)(40, 132)(41, 133)(42, 143)(43, 137)(44, 138)(45, 123)(46, 127)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 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 E21.1194
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y1)^2, Y3^-1 * Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^6, (Y1 * Y2)^4, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 20, 68)(6, 54, 23, 71, 16, 64)(7, 55, 25, 73, 9, 57)(8, 56, 30, 78, 28, 76)(10, 58, 27, 75, 14, 62)(11, 59, 34, 82, 13, 61)(18, 66, 32, 80, 40, 88)(19, 67, 45, 93, 37, 85)(21, 69, 47, 95, 24, 72)(22, 70, 36, 84, 31, 79)(26, 74, 35, 83, 48, 96)(29, 77, 41, 89, 39, 87)(33, 81, 44, 92, 43, 91)(38, 86, 46, 94, 42, 90)(97, 145, 99, 147, 109, 157, 136, 184, 141, 189, 126, 174, 142, 190, 127, 175, 139, 187, 131, 179, 121, 169, 102, 150)(98, 146, 104, 152, 100, 148, 114, 162, 140, 188, 143, 191, 138, 186, 112, 160, 125, 173, 144, 192, 130, 178, 106, 154)(101, 149, 117, 165, 105, 153, 128, 176, 135, 183, 108, 156, 134, 182, 110, 158, 133, 181, 122, 170, 116, 164, 118, 166)(103, 151, 123, 171, 129, 177, 111, 159, 113, 161, 119, 167, 115, 163, 120, 168, 107, 155, 132, 180, 137, 185, 124, 172)
	L = (1, 100)(2, 105)(3, 110)(4, 115)(5, 109)(6, 120)(7, 97)(8, 127)(9, 129)(10, 111)(11, 98)(12, 119)(13, 137)(14, 104)(15, 136)(16, 99)(17, 101)(18, 108)(19, 142)(20, 140)(21, 112)(22, 124)(23, 144)(24, 128)(25, 135)(26, 102)(27, 122)(28, 114)(29, 103)(30, 123)(31, 117)(32, 126)(33, 138)(34, 141)(35, 106)(36, 131)(37, 107)(38, 139)(39, 130)(40, 143)(41, 134)(42, 133)(43, 113)(44, 121)(45, 116)(46, 125)(47, 132)(48, 118)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1196
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 20, 68)(7, 55, 23, 71)(8, 56, 26, 74)(9, 57, 29, 77)(10, 58, 32, 80)(12, 60, 37, 85)(13, 61, 25, 73)(15, 63, 35, 83)(16, 64, 28, 76)(18, 66, 33, 81)(19, 67, 44, 92)(21, 69, 30, 78)(22, 70, 42, 90)(24, 72, 46, 94)(27, 75, 43, 91)(31, 79, 39, 87)(34, 82, 40, 88)(36, 84, 45, 93)(38, 86, 41, 89)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 112, 160)(102, 150, 117, 165, 118, 166)(104, 152, 123, 171, 124, 172)(106, 154, 129, 177, 130, 178)(107, 155, 131, 179, 126, 174)(108, 156, 134, 182, 122, 170)(109, 157, 135, 183, 128, 176)(110, 158, 120, 168, 132, 180)(113, 161, 137, 185, 127, 175)(114, 162, 119, 167, 139, 187)(115, 163, 125, 173, 141, 189)(116, 164, 121, 169, 140, 188)(133, 181, 143, 191, 138, 186)(136, 184, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 114)(6, 97)(7, 120)(8, 106)(9, 126)(10, 98)(11, 123)(12, 109)(13, 99)(14, 133)(15, 134)(16, 136)(17, 124)(18, 115)(19, 101)(20, 137)(21, 122)(22, 128)(23, 111)(24, 121)(25, 103)(26, 142)(27, 132)(28, 138)(29, 112)(30, 127)(31, 105)(32, 141)(33, 110)(34, 116)(35, 143)(36, 107)(37, 129)(38, 119)(39, 139)(40, 125)(41, 130)(42, 113)(43, 144)(44, 131)(45, 118)(46, 117)(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, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1208
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y3^-1 * Y2 * Y3^2 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1, (Y2^-1 * Y3^-1)^3, Y3^6, Y2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 23, 71)(8, 56, 26, 74)(9, 57, 12, 60)(10, 58, 32, 80)(13, 61, 25, 73)(15, 63, 28, 76)(16, 64, 27, 75)(17, 65, 29, 77)(19, 67, 33, 81)(20, 68, 34, 82)(22, 70, 30, 78)(24, 72, 31, 79)(35, 83, 39, 87)(36, 84, 46, 94)(37, 85, 38, 86)(40, 88, 47, 95)(41, 89, 48, 96)(42, 90, 43, 91)(44, 92, 45, 93)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 123, 171, 125, 173)(106, 154, 129, 177, 107, 155)(108, 156, 132, 180, 122, 170)(109, 157, 120, 168, 128, 176)(110, 158, 114, 162, 131, 179)(112, 160, 115, 163, 137, 185)(116, 164, 133, 181, 135, 183)(117, 165, 121, 169, 130, 178)(124, 172, 126, 174, 139, 187)(127, 175, 141, 189, 142, 190)(134, 182, 143, 191, 144, 192)(136, 184, 138, 186, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 114)(8, 124)(9, 126)(10, 98)(11, 123)(12, 113)(13, 99)(14, 134)(15, 135)(16, 136)(17, 138)(18, 125)(19, 122)(20, 101)(21, 131)(22, 116)(23, 111)(24, 102)(25, 103)(26, 140)(27, 142)(28, 143)(29, 144)(30, 110)(31, 105)(32, 132)(33, 127)(34, 106)(35, 107)(36, 119)(37, 109)(38, 129)(39, 137)(40, 120)(41, 128)(42, 133)(43, 117)(44, 118)(45, 121)(46, 139)(47, 130)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1209
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.1204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^2 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^4, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y2^-1 * Y1^-1 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y1 * Y2 * R * Y3^2 * Y2 * R ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 19, 67)(6, 54, 18, 66, 25, 73)(7, 55, 27, 75, 9, 57)(8, 56, 29, 77, 31, 79)(10, 58, 33, 81, 36, 84)(11, 59, 37, 85, 22, 70)(13, 61, 30, 78, 42, 90)(15, 63, 17, 65, 32, 80)(20, 68, 34, 82, 26, 74)(21, 69, 46, 94, 40, 88)(23, 71, 47, 95, 39, 87)(24, 72, 45, 93, 44, 92)(28, 76, 41, 89, 35, 83)(38, 86, 48, 96, 43, 91)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 126, 174, 106, 154)(100, 148, 113, 161, 137, 185, 116, 164)(101, 149, 117, 165, 138, 186, 119, 167)(103, 151, 124, 172, 139, 187, 115, 163)(105, 153, 128, 176, 144, 192, 130, 178)(107, 155, 134, 182, 120, 168, 123, 171)(108, 156, 135, 183, 114, 162, 136, 184)(110, 158, 125, 173, 121, 169, 129, 177)(111, 159, 140, 188, 122, 170, 118, 166)(112, 160, 141, 189, 131, 179, 133, 181)(127, 175, 142, 190, 132, 180, 143, 191)
	L = (1, 100)(2, 105)(3, 107)(4, 114)(5, 118)(6, 120)(7, 97)(8, 112)(9, 129)(10, 131)(11, 98)(12, 128)(13, 137)(14, 124)(15, 99)(16, 101)(17, 104)(18, 130)(19, 127)(20, 106)(21, 103)(22, 143)(23, 139)(24, 126)(25, 115)(26, 102)(27, 136)(28, 132)(29, 111)(30, 144)(31, 134)(32, 117)(33, 122)(34, 119)(35, 138)(36, 123)(37, 110)(38, 135)(39, 133)(40, 141)(41, 108)(42, 140)(43, 109)(44, 142)(45, 121)(46, 113)(47, 116)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1207
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, (R * Y3)^2, Y3^2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, Y2 * Y3^-4 * Y1^-1, (R * Y2 * Y3^-1)^2, R * Y2 * R * Y2 * Y1 * Y2 * 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, 24, 72, 25, 73)(7, 55, 27, 75, 9, 57)(8, 56, 29, 77, 32, 80)(10, 58, 35, 83, 36, 84)(11, 59, 37, 85, 22, 70)(13, 61, 30, 78, 42, 90)(14, 62, 44, 92, 45, 93)(16, 64, 18, 66, 33, 81)(20, 68, 34, 82, 26, 74)(21, 69, 46, 94, 39, 87)(23, 71, 47, 95, 40, 88)(28, 76, 41, 89, 31, 79)(38, 86, 48, 96, 43, 91)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 126, 174, 106, 154)(100, 148, 114, 162, 137, 185, 116, 164)(101, 149, 117, 165, 138, 186, 119, 167)(103, 151, 115, 163, 139, 187, 124, 172)(105, 153, 129, 177, 144, 192, 130, 178)(107, 155, 123, 171, 110, 158, 134, 182)(108, 156, 135, 183, 120, 168, 136, 184)(111, 159, 131, 179, 121, 169, 125, 173)(112, 160, 141, 189, 122, 170, 118, 166)(113, 161, 133, 181, 127, 175, 140, 188)(128, 176, 143, 191, 132, 180, 142, 190)
	L = (1, 100)(2, 105)(3, 110)(4, 108)(5, 118)(6, 107)(7, 97)(8, 127)(9, 125)(10, 113)(11, 98)(12, 129)(13, 137)(14, 126)(15, 115)(16, 99)(17, 101)(18, 104)(19, 132)(20, 106)(21, 139)(22, 142)(23, 103)(24, 130)(25, 124)(26, 102)(27, 136)(28, 128)(29, 112)(30, 144)(31, 138)(32, 123)(33, 117)(34, 119)(35, 122)(36, 134)(37, 121)(38, 135)(39, 133)(40, 140)(41, 120)(42, 141)(43, 109)(44, 111)(45, 143)(46, 114)(47, 116)(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, 24, 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1206
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 6^16, 8^12 ]

E21.1206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-2 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y1 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y2, (Y3^-1 * Y2)^3, Y3 * Y2 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 13, 61, 29, 77, 44, 92, 39, 87, 15, 63, 31, 79, 19, 67, 5, 53)(3, 51, 11, 59, 35, 83, 22, 70, 6, 54, 21, 69, 41, 89, 42, 90, 32, 80, 9, 57, 30, 78, 12, 60)(4, 52, 14, 62, 38, 86, 17, 65, 40, 88, 43, 91, 24, 72, 20, 68, 36, 84, 47, 95, 26, 74, 16, 64)(8, 56, 27, 75, 48, 96, 34, 82, 10, 58, 33, 81, 18, 66, 37, 85, 46, 94, 25, 73, 45, 93, 28, 76)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 113, 161)(102, 150, 112, 160)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 128, 176)(107, 155, 132, 180)(108, 156, 133, 181)(109, 157, 130, 178)(110, 158, 124, 172)(114, 162, 135, 183)(115, 163, 121, 169)(116, 164, 129, 177)(117, 165, 123, 171)(118, 166, 119, 167)(122, 170, 142, 190)(125, 173, 143, 191)(126, 174, 139, 187)(131, 179, 141, 189)(134, 182, 138, 186)(136, 184, 144, 192)(137, 185, 140, 188)
	L = (1, 100)(2, 105)(3, 106)(4, 107)(5, 114)(6, 97)(7, 121)(8, 122)(9, 123)(10, 98)(11, 127)(12, 134)(13, 99)(14, 125)(15, 130)(16, 129)(17, 102)(18, 136)(19, 137)(20, 101)(21, 132)(22, 133)(23, 113)(24, 138)(25, 116)(26, 103)(27, 115)(28, 108)(29, 104)(30, 140)(31, 143)(32, 112)(33, 117)(34, 110)(35, 139)(36, 144)(37, 109)(38, 142)(39, 118)(40, 111)(41, 141)(42, 119)(43, 124)(44, 120)(45, 135)(46, 128)(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, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1205
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1^-2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3^-2 * Y1^-1, Y1 * Y2 * Y3^-2 * Y1^-1 * Y3^-1, (Y3^-1 * Y1^2)^2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-2 * Y2 * Y3^-1 * Y1^-2, Y2 * Y1^2 * Y2 * Y3 * Y1^-1, Y1 * R * Y2 * R * Y1^-1 * Y2, Y3^3 * Y1^-3, Y2 * Y1^-3 * Y3^-1 * Y1^-1, (Y3 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 27, 75, 14, 62, 34, 82, 46, 94, 44, 92, 16, 64, 36, 84, 21, 69, 5, 53)(3, 51, 11, 59, 40, 88, 25, 73, 6, 54, 23, 71, 42, 90, 17, 65, 38, 86, 9, 57, 35, 83, 13, 61)(4, 52, 15, 63, 43, 91, 19, 67, 32, 80, 24, 72, 28, 76, 22, 70, 45, 93, 26, 74, 30, 78, 18, 66)(8, 56, 31, 79, 48, 96, 41, 89, 10, 58, 39, 87, 20, 68, 37, 85, 47, 95, 29, 77, 12, 60, 33, 81)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 120, 168)(103, 151, 124, 172)(105, 153, 132, 180)(106, 154, 136, 184)(107, 155, 139, 187)(108, 156, 134, 182)(109, 157, 127, 175)(110, 158, 137, 185)(111, 159, 135, 183)(113, 161, 141, 189)(114, 162, 131, 179)(116, 164, 140, 188)(117, 165, 125, 173)(118, 166, 129, 177)(119, 167, 133, 181)(121, 169, 123, 171)(122, 170, 130, 178)(126, 174, 144, 192)(128, 176, 143, 191)(138, 186, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 125)(8, 128)(9, 133)(10, 98)(11, 132)(12, 140)(13, 141)(14, 99)(15, 130)(16, 137)(17, 123)(18, 129)(19, 131)(20, 126)(21, 138)(22, 101)(23, 139)(24, 135)(25, 127)(26, 102)(27, 115)(28, 107)(29, 111)(30, 103)(31, 117)(32, 112)(33, 119)(34, 104)(35, 142)(36, 122)(37, 110)(38, 120)(39, 109)(40, 114)(41, 118)(42, 106)(43, 144)(44, 121)(45, 143)(46, 124)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1204
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-1 * Y3, (R * Y3)^2, (Y2^-1 * Y3)^2, Y3^-1 * Y1 * Y2^-2, Y1^4, (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^2 * Y3^-1 * Y1^2 * Y3, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y1^2 * Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 16, 64)(4, 52, 18, 66, 30, 78, 19, 67)(6, 54, 24, 72, 31, 79, 26, 74)(7, 55, 14, 62, 32, 80, 27, 75)(9, 57, 33, 81, 20, 68, 28, 76)(10, 58, 36, 84, 21, 69, 37, 85)(11, 59, 38, 86, 22, 70, 15, 63)(12, 60, 34, 82, 23, 71, 40, 88)(17, 65, 35, 83, 48, 96, 45, 93)(25, 73, 46, 94, 42, 90, 39, 87)(41, 89, 47, 95, 44, 92, 43, 91)(97, 145, 99, 147, 110, 158, 131, 179, 106, 154, 127, 175, 104, 152, 125, 173, 123, 171, 141, 189, 117, 165, 102, 150)(98, 146, 105, 153, 130, 178, 144, 192, 126, 174, 118, 166, 101, 149, 116, 164, 136, 184, 113, 161, 100, 148, 107, 155)(103, 151, 121, 169, 114, 162, 120, 168, 139, 187, 129, 177, 128, 176, 138, 186, 115, 163, 122, 170, 143, 191, 124, 172)(108, 156, 135, 183, 132, 180, 134, 182, 140, 188, 112, 160, 119, 167, 142, 190, 133, 181, 111, 159, 137, 185, 109, 157)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 117)(6, 121)(7, 97)(8, 126)(9, 120)(10, 108)(11, 135)(12, 98)(13, 127)(14, 139)(15, 113)(16, 102)(17, 99)(18, 130)(19, 136)(20, 122)(21, 119)(22, 142)(23, 101)(24, 131)(25, 112)(26, 141)(27, 143)(28, 107)(29, 134)(30, 128)(31, 138)(32, 104)(33, 118)(34, 140)(35, 105)(36, 123)(37, 110)(38, 144)(39, 124)(40, 137)(41, 115)(42, 109)(43, 133)(44, 114)(45, 116)(46, 129)(47, 132)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1202
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-2, (R * Y3)^2, Y1^4, (Y2^-1 * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1^-2 * Y3^-3, Y1 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y2^10 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 31, 79, 16, 64)(4, 52, 18, 66, 30, 78, 20, 68)(6, 54, 25, 73, 32, 80, 27, 75)(7, 55, 14, 62, 19, 67, 28, 76)(9, 57, 29, 77, 21, 69, 34, 82)(10, 58, 36, 84, 22, 70, 37, 85)(11, 59, 15, 63, 23, 71, 39, 87)(12, 60, 33, 81, 24, 72, 40, 88)(17, 65, 35, 83, 43, 91, 46, 94)(26, 74, 47, 95, 45, 93, 38, 86)(41, 89, 42, 90, 44, 92, 48, 96)(97, 145, 99, 147, 110, 158, 131, 179, 106, 154, 128, 176, 104, 152, 127, 175, 124, 172, 142, 190, 118, 166, 102, 150)(98, 146, 105, 153, 129, 177, 139, 187, 126, 174, 119, 167, 101, 149, 117, 165, 136, 184, 113, 161, 100, 148, 107, 155)(103, 151, 122, 170, 116, 164, 121, 169, 138, 186, 130, 178, 115, 163, 141, 189, 114, 162, 123, 171, 144, 192, 125, 173)(108, 156, 134, 182, 133, 181, 111, 159, 137, 185, 109, 157, 120, 168, 143, 191, 132, 180, 135, 183, 140, 188, 112, 160)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 118)(6, 122)(7, 97)(8, 126)(9, 123)(10, 120)(11, 134)(12, 98)(13, 128)(14, 138)(15, 139)(16, 102)(17, 99)(18, 129)(19, 104)(20, 136)(21, 121)(22, 108)(23, 143)(24, 101)(25, 131)(26, 109)(27, 142)(28, 144)(29, 119)(30, 103)(31, 135)(32, 141)(33, 137)(34, 107)(35, 105)(36, 124)(37, 110)(38, 125)(39, 113)(40, 140)(41, 116)(42, 132)(43, 127)(44, 114)(45, 112)(46, 117)(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, 6, 4, 6, 4, 6, 4, 6 ), ( 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 E21.1203
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 8^12, 24^4 ]

E21.1210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1, (Y2^-1 * Y3)^3, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^2 * Y3 * Y2^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y1 * Y2 ]
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, 16, 64)(10, 58, 13, 61)(11, 59, 22, 70)(12, 60, 31, 79)(15, 63, 37, 85)(17, 65, 41, 89)(18, 66, 42, 90)(20, 68, 43, 91)(21, 69, 36, 84)(23, 71, 32, 80)(24, 72, 29, 77)(25, 73, 33, 81)(26, 74, 30, 78)(27, 75, 35, 83)(28, 76, 34, 82)(38, 86, 39, 87)(40, 88, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 118, 166, 105, 153)(100, 148, 111, 159, 125, 173, 112, 160)(102, 150, 116, 164, 126, 174, 117, 165)(104, 152, 120, 168, 133, 181, 110, 158)(106, 154, 123, 171, 138, 186, 124, 172)(108, 156, 128, 176, 113, 161, 129, 177)(109, 157, 130, 178, 114, 162, 131, 179)(115, 163, 132, 180, 122, 170, 139, 187)(119, 167, 127, 175, 121, 169, 137, 185)(134, 182, 143, 191, 142, 190, 144, 192)(135, 183, 141, 189, 136, 184, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 113)(6, 97)(7, 119)(8, 106)(9, 121)(10, 98)(11, 125)(12, 109)(13, 99)(14, 132)(15, 131)(16, 130)(17, 114)(18, 101)(19, 103)(20, 140)(21, 141)(22, 133)(23, 115)(24, 139)(25, 122)(26, 105)(27, 143)(28, 144)(29, 126)(30, 107)(31, 123)(32, 116)(33, 117)(34, 136)(35, 135)(36, 134)(37, 138)(38, 110)(39, 111)(40, 112)(41, 124)(42, 118)(43, 142)(44, 128)(45, 129)(46, 120)(47, 127)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1212
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
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, Y2^4, Y1 * Y3 * Y1 * Y2^-1 * Y3^-1, Y2^-2 * Y3^-3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-2, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 20, 68)(8, 56, 15, 63)(10, 58, 19, 67)(11, 59, 24, 72)(12, 60, 33, 81)(13, 61, 27, 75)(16, 64, 26, 74)(17, 65, 32, 80)(18, 66, 42, 90)(21, 69, 43, 91)(22, 70, 38, 86)(23, 71, 28, 76)(25, 73, 35, 83)(29, 77, 34, 82)(30, 78, 36, 84)(31, 79, 37, 85)(39, 87, 41, 89)(40, 88, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 120, 168, 105, 153)(100, 148, 111, 159, 119, 167, 113, 161)(102, 150, 117, 165, 112, 160, 118, 166)(104, 152, 110, 158, 128, 176, 124, 172)(106, 154, 126, 174, 123, 171, 127, 175)(108, 156, 130, 178, 114, 162, 131, 179)(109, 157, 132, 180, 115, 163, 133, 181)(116, 164, 134, 182, 122, 170, 139, 187)(121, 169, 138, 186, 125, 173, 129, 177)(135, 183, 143, 191, 142, 190, 144, 192)(136, 184, 140, 188, 137, 185, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 114)(6, 97)(7, 121)(8, 123)(9, 125)(10, 98)(11, 119)(12, 115)(13, 99)(14, 134)(15, 133)(16, 107)(17, 132)(18, 109)(19, 101)(20, 105)(21, 140)(22, 141)(23, 102)(24, 128)(25, 116)(26, 103)(27, 120)(28, 139)(29, 122)(30, 143)(31, 144)(32, 106)(33, 127)(34, 117)(35, 118)(36, 136)(37, 137)(38, 142)(39, 110)(40, 111)(41, 113)(42, 126)(43, 135)(44, 131)(45, 130)(46, 124)(47, 129)(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) :: { ( 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1213
Graph:: simple bipartite
	v = 36 e = 96 f = 20
	degree seq :: [ 4^24, 8^12 ]

E21.1212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y1^3, (R * Y3^-1)^2, (Y1^-1 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1^-1, (Y3 * R)^2, (Y1 * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^3 * Y2^-2, Y2 * Y3^-3 * Y2^2, Y2^-2 * Y1 * Y2^2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^4, Y3^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 9, 57, 7, 55)(4, 52, 14, 62, 16, 64)(6, 54, 10, 58, 8, 56)(11, 59, 21, 69, 13, 61)(12, 60, 22, 70, 20, 68)(15, 63, 37, 85, 38, 86)(17, 65, 36, 84, 35, 83)(18, 66, 24, 72, 23, 71)(19, 67, 26, 74, 25, 73)(27, 75, 33, 81, 29, 77)(28, 76, 34, 82, 32, 80)(30, 78, 44, 92, 39, 87)(31, 79, 43, 91, 41, 89)(40, 88, 45, 93, 42, 90)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 133, 181, 140, 188, 144, 192, 136, 184, 132, 180, 139, 187, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 129, 177, 109, 157, 128, 176, 143, 191, 126, 174, 118, 166, 137, 185, 113, 161, 100, 148)(101, 149, 112, 160, 134, 182, 125, 173, 120, 168, 141, 189, 142, 190, 130, 178, 122, 170, 127, 175, 108, 156, 105, 153)(103, 151, 116, 164, 135, 183, 111, 159, 110, 158, 131, 179, 138, 186, 114, 162, 106, 154, 121, 169, 124, 172, 117, 165)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 102)(6, 114)(7, 97)(8, 115)(9, 117)(10, 98)(11, 124)(12, 126)(13, 99)(14, 101)(15, 123)(16, 113)(17, 136)(18, 125)(19, 130)(20, 127)(21, 129)(22, 103)(23, 138)(24, 104)(25, 139)(26, 106)(27, 119)(28, 142)(29, 107)(30, 133)(31, 132)(32, 121)(33, 134)(34, 109)(35, 137)(36, 110)(37, 112)(38, 135)(39, 143)(40, 120)(41, 122)(42, 144)(43, 118)(44, 116)(45, 131)(46, 140)(47, 141)(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, 8, 4, 8, 4, 8 ), ( 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 E21.1210
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y2 * R * Y2^-1 * R, Y1 * Y3^-1 * Y2 * Y3^-2, Y1 * Y2^-2 * Y3 * Y2^-1, Y2^-3 * Y3^-3, Y1 * Y3^-2 * Y2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^3 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 20, 68)(6, 54, 24, 72, 8, 56)(7, 55, 28, 76, 9, 57)(10, 58, 36, 84, 22, 70)(11, 59, 39, 87, 23, 71)(13, 61, 35, 83, 21, 69)(14, 62, 32, 80, 29, 77)(16, 64, 44, 92, 30, 78)(18, 66, 27, 75, 38, 86)(19, 67, 33, 81, 47, 95)(25, 73, 34, 82, 31, 79)(26, 74, 40, 88, 37, 85)(41, 89, 48, 96, 43, 91)(42, 90, 46, 94, 45, 93)(97, 145, 99, 147, 109, 157, 137, 185, 129, 177, 119, 167, 134, 182, 124, 172, 140, 188, 142, 190, 122, 170, 102, 150)(98, 146, 104, 152, 128, 176, 144, 192, 117, 165, 100, 148, 114, 162, 135, 183, 127, 175, 141, 189, 112, 160, 106, 154)(101, 149, 118, 166, 143, 191, 139, 187, 110, 158, 105, 153, 123, 171, 116, 164, 136, 184, 138, 186, 130, 178, 108, 156)(103, 151, 125, 173, 120, 168, 133, 181, 113, 161, 131, 179, 111, 159, 121, 169, 107, 155, 115, 163, 132, 180, 126, 174)
	L = (1, 100)(2, 105)(3, 110)(4, 115)(5, 119)(6, 121)(7, 97)(8, 129)(9, 131)(10, 133)(11, 98)(12, 126)(13, 132)(14, 135)(15, 134)(16, 99)(17, 101)(18, 108)(19, 142)(20, 112)(21, 124)(22, 117)(23, 125)(24, 114)(25, 139)(26, 118)(27, 102)(28, 130)(29, 138)(30, 144)(31, 103)(32, 111)(33, 116)(34, 104)(35, 141)(36, 123)(37, 137)(38, 106)(39, 122)(40, 107)(41, 127)(42, 109)(43, 140)(44, 113)(45, 143)(46, 128)(47, 120)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1211
Graph:: bipartite
	v = 20 e = 96 f = 36
	degree seq :: [ 6^16, 24^4 ]

E21.1214 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, R * Y3 * R * Y2, (R * Y1)^2, Y1^-2 * Y2 * Y1^2 * Y3, Y1^-2 * Y3 * Y1^2 * Y2, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2, Y1^12 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 77, 29, 85, 37, 84, 36, 76, 28, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 60, 12, 70, 22, 78, 30, 87, 39, 92, 44, 90, 42, 82, 34, 74, 26, 65, 17, 56, 8, 51)(6, 61, 13, 69, 21, 79, 31, 86, 38, 93, 45, 91, 43, 83, 35, 75, 27, 66, 18, 57, 9, 62, 14, 54)(15, 71, 23, 80, 32, 88, 40, 94, 46, 96, 48, 95, 47, 89, 41, 81, 33, 73, 25, 64, 16, 72, 24, 63)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 44)(39, 46)(42, 47)(45, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 63)(56, 64)(58, 65)(59, 69)(61, 71)(62, 72)(66, 73)(67, 75)(68, 78)(70, 80)(74, 81)(76, 82)(77, 86)(79, 88)(83, 89)(84, 91)(85, 92)(87, 94)(90, 95)(93, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1215 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-2)^2, (Y2 * Y1)^4, Y1^12 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 77, 29, 85, 37, 84, 36, 76, 28, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 73, 25, 81, 33, 89, 41, 92, 44, 87, 39, 78, 30, 70, 22, 60, 12, 56, 8, 51)(6, 61, 13, 57, 9, 66, 18, 75, 27, 83, 35, 91, 43, 93, 45, 86, 38, 79, 31, 69, 21, 62, 14, 54)(16, 71, 23, 65, 17, 72, 24, 80, 32, 88, 40, 94, 46, 96, 48, 95, 47, 90, 42, 82, 34, 74, 26, 64)
	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, 44)(39, 46)(41, 47)(45, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 63)(59, 69)(61, 71)(62, 72)(66, 74)(67, 75)(68, 78)(70, 80)(73, 82)(76, 81)(77, 86)(79, 88)(83, 90)(84, 91)(85, 92)(87, 94)(89, 95)(93, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1216 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1^-4, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, (Y3 * Y2)^3, (Y1^-1 * Y3 * Y1^-1)^2, Y1 * Y2 * Y1^-2 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^4, (Y2 * Y1 * Y3 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 61, 13, 73, 25, 86, 38, 79, 31, 58, 10, 70, 22, 65, 17, 53, 5, 49)(3, 57, 9, 75, 27, 95, 47, 78, 30, 87, 39, 68, 20, 62, 14, 52, 4, 60, 12, 67, 19, 59, 11, 51)(7, 69, 21, 63, 15, 84, 36, 90, 42, 96, 48, 85, 37, 74, 26, 56, 8, 72, 24, 64, 16, 71, 23, 55)(28, 88, 40, 80, 32, 91, 43, 82, 34, 93, 45, 83, 35, 94, 46, 77, 29, 89, 41, 81, 33, 92, 44, 76)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 34)(14, 35)(16, 18)(17, 27)(20, 38)(21, 40)(22, 42)(23, 43)(24, 45)(26, 46)(29, 39)(31, 37)(33, 47)(36, 44)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 77)(59, 81)(60, 76)(61, 78)(62, 80)(63, 79)(65, 67)(66, 85)(69, 89)(71, 92)(72, 88)(73, 90)(74, 91)(75, 86)(82, 87)(83, 95)(84, 94)(93, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1217 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y1^-3 * Y2 * Y3 * Y1^-3, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^4 * Y2 * Y3 * Y1^4 * Y2 * Y3 * Y1^4 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 83, 35, 75, 27, 58, 10, 69, 21, 87, 39, 82, 34, 64, 16, 53, 5, 49)(3, 57, 9, 66, 18, 86, 38, 79, 31, 61, 13, 52, 4, 60, 12, 67, 19, 88, 40, 78, 30, 59, 11, 51)(7, 68, 20, 84, 36, 81, 33, 63, 15, 72, 24, 56, 8, 71, 23, 85, 37, 80, 32, 62, 14, 70, 22, 55)(25, 89, 41, 95, 47, 94, 46, 77, 29, 92, 44, 74, 26, 90, 42, 96, 48, 93, 45, 76, 28, 91, 43, 73)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 28)(12, 26)(13, 29)(15, 27)(16, 30)(17, 36)(19, 39)(20, 41)(22, 43)(23, 42)(24, 44)(31, 35)(32, 45)(33, 46)(34, 37)(38, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 77)(60, 73)(61, 76)(62, 75)(64, 79)(65, 85)(66, 87)(68, 90)(70, 92)(71, 89)(72, 91)(78, 83)(80, 94)(81, 93)(82, 84)(86, 96)(88, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1218 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, (Y1^-1 * Y2 * Y1^-1)^2, (Y3 * Y1^-2)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2, Y3 * Y1^-3 * Y3 * Y1^3, Y1^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 83, 35, 74, 26, 89, 41, 77, 29, 91, 43, 82, 34, 64, 16, 53, 5, 49)(3, 57, 9, 73, 25, 84, 36, 70, 22, 55, 7, 68, 20, 62, 14, 80, 32, 87, 39, 66, 18, 59, 11, 51)(4, 60, 12, 79, 31, 85, 37, 72, 24, 56, 8, 71, 23, 63, 15, 81, 33, 88, 40, 67, 19, 61, 13, 52)(10, 69, 21, 86, 38, 95, 47, 94, 46, 75, 27, 90, 42, 78, 30, 92, 44, 96, 48, 93, 45, 76, 28, 58)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 25)(17, 36)(19, 38)(20, 41)(22, 43)(23, 42)(24, 44)(31, 45)(32, 35)(33, 46)(34, 39)(37, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 75)(59, 78)(60, 74)(61, 77)(62, 76)(64, 79)(65, 85)(66, 86)(68, 90)(70, 92)(71, 89)(72, 91)(73, 93)(80, 94)(81, 83)(82, 88)(84, 95)(87, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1219 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^2 * Y2)^2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, (Y1 * Y3 * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2, Y1^3 * Y2 * Y3 * Y1^3, (Y3 * Y1^-1)^4, (Y1^-1 * Y3 * Y1^-1 * Y2)^2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 83, 35, 76, 28, 58, 10, 69, 21, 86, 38, 82, 34, 64, 16, 53, 5, 49)(3, 57, 9, 73, 25, 88, 40, 67, 19, 61, 13, 52, 4, 60, 12, 79, 31, 87, 39, 66, 18, 59, 11, 51)(7, 68, 20, 62, 14, 80, 32, 85, 37, 72, 24, 56, 8, 71, 23, 63, 15, 81, 33, 84, 36, 70, 22, 55)(26, 89, 41, 77, 29, 91, 43, 95, 47, 94, 46, 75, 27, 90, 42, 78, 30, 92, 44, 96, 48, 93, 45, 74)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 25)(17, 36)(19, 38)(20, 41)(22, 43)(23, 42)(24, 44)(31, 35)(32, 45)(33, 46)(34, 37)(39, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 75)(59, 78)(60, 74)(61, 77)(62, 76)(64, 79)(65, 85)(66, 86)(68, 90)(70, 92)(71, 89)(72, 91)(73, 83)(80, 94)(81, 93)(82, 84)(87, 96)(88, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1220 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y1^2 * Y3, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 85, 37, 93, 45, 91, 43, 82, 34, 72, 24, 60, 12, 53, 5, 49)(3, 57, 9, 52, 4, 59, 11, 70, 22, 81, 33, 89, 41, 95, 47, 86, 38, 76, 28, 63, 15, 58, 10, 51)(7, 64, 16, 56, 8, 66, 18, 61, 13, 73, 25, 84, 36, 92, 44, 94, 46, 87, 39, 75, 27, 65, 17, 55)(19, 77, 29, 68, 20, 78, 30, 69, 21, 79, 31, 88, 40, 96, 48, 90, 42, 83, 35, 71, 23, 80, 32, 67)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 23)(13, 24)(14, 27)(16, 29)(17, 30)(18, 32)(21, 28)(22, 34)(25, 35)(26, 38)(31, 39)(33, 42)(36, 43)(37, 46)(40, 47)(41, 45)(44, 48)(49, 52)(50, 56)(51, 54)(53, 61)(55, 62)(57, 68)(58, 69)(59, 67)(60, 70)(63, 74)(64, 78)(65, 79)(66, 77)(71, 81)(72, 84)(73, 80)(75, 85)(76, 88)(82, 89)(83, 92)(86, 93)(87, 96)(90, 95)(91, 94)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1221 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y1 * Y3 * Y1)^2, Y3^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 26, 74, 34, 82, 42, 90, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 30, 78, 38, 86, 45, 93, 40, 88, 32, 80, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 25, 73, 33, 81, 41, 89, 47, 95, 43, 91, 35, 83, 27, 75, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 29, 77, 37, 85, 44, 92, 48, 96, 46, 94, 39, 87, 31, 79, 23, 71, 13, 61, 21, 69)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 116)(112, 117)(113, 121)(114, 119)(115, 123)(118, 125)(120, 127)(122, 126)(124, 128)(129, 133)(130, 137)(131, 135)(132, 139)(134, 140)(136, 142)(138, 141)(143, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 156)(154, 158)(159, 164)(160, 165)(161, 169)(162, 167)(163, 171)(166, 173)(168, 175)(170, 174)(172, 176)(177, 181)(178, 185)(179, 183)(180, 187)(182, 188)(184, 190)(186, 189)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1234
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1222 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 26, 74, 34, 82, 42, 90, 36, 84, 28, 76, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 30, 78, 38, 86, 45, 93, 40, 88, 32, 80, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 9, 57, 18, 66, 27, 75, 35, 83, 43, 91, 47, 95, 41, 89, 33, 81, 25, 73, 16, 64)(11, 59, 20, 68, 13, 61, 23, 71, 31, 79, 39, 87, 46, 94, 48, 96, 44, 92, 37, 85, 29, 77, 21, 69)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 116)(112, 119)(113, 121)(114, 117)(115, 123)(118, 125)(120, 127)(122, 128)(124, 126)(129, 135)(130, 137)(131, 133)(132, 139)(134, 140)(136, 142)(138, 141)(143, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 164)(160, 167)(161, 169)(162, 165)(163, 171)(166, 173)(168, 175)(170, 176)(172, 174)(177, 183)(178, 185)(179, 181)(180, 187)(182, 188)(184, 190)(186, 189)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1235
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1223 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-3, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y2 * Y1)^3, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y2 * Y1 * Y2, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 20, 68, 6, 54, 19, 67, 40, 88, 28, 76, 9, 57, 27, 75, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 11, 59, 3, 51, 10, 58, 30, 78, 38, 86, 18, 66, 37, 85, 26, 74, 8, 56)(12, 60, 32, 80, 15, 63, 35, 83, 13, 61, 34, 82, 16, 64, 36, 84, 39, 87, 48, 96, 41, 89, 33, 81)(21, 69, 42, 90, 24, 72, 45, 93, 22, 70, 44, 92, 25, 73, 46, 94, 29, 77, 47, 95, 31, 79, 43, 91)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 127)(109, 123)(110, 122)(112, 124)(113, 119)(115, 135)(116, 137)(118, 133)(121, 134)(126, 136)(128, 138)(129, 141)(130, 143)(131, 139)(132, 142)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 167)(159, 164)(161, 174)(170, 184)(171, 183)(172, 185)(173, 181)(175, 182)(176, 188)(177, 190)(178, 186)(179, 189)(180, 187)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1236
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1224 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3^-2 * Y1 * Y3^2, (Y2 * Y3^-1 * Y2 * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^6 * Y1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 36, 84, 18, 66, 6, 54, 17, 65, 35, 83, 34, 82, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 41, 89, 26, 74, 10, 58, 3, 51, 9, 57, 25, 73, 44, 92, 24, 72, 8, 56)(11, 59, 27, 75, 45, 93, 33, 81, 15, 63, 30, 78, 12, 60, 29, 77, 46, 94, 32, 80, 14, 62, 28, 76)(19, 67, 37, 85, 47, 95, 43, 91, 23, 71, 40, 88, 20, 68, 39, 87, 48, 96, 42, 90, 22, 70, 38, 86)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 117)(111, 114)(112, 120)(121, 131)(122, 132)(123, 133)(124, 134)(125, 135)(126, 136)(127, 141)(128, 138)(129, 139)(130, 142)(137, 143)(140, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 169)(158, 162)(160, 170)(165, 179)(168, 180)(171, 183)(172, 184)(173, 181)(174, 182)(175, 190)(176, 187)(177, 186)(178, 189)(185, 192)(188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1237
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1225 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, (Y3^-2 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3^-5 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 38, 86, 19, 67, 37, 85, 22, 70, 42, 90, 34, 82, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 41, 89, 28, 76, 11, 59, 27, 75, 14, 62, 32, 80, 44, 92, 24, 72, 8, 56)(3, 51, 9, 57, 25, 73, 45, 93, 30, 78, 12, 60, 29, 77, 15, 63, 33, 81, 46, 94, 26, 74, 10, 58)(6, 54, 17, 65, 35, 83, 47, 95, 40, 88, 20, 68, 39, 87, 23, 71, 43, 91, 48, 96, 36, 84, 18, 66)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 132)(122, 131)(123, 133)(124, 138)(125, 135)(126, 139)(127, 137)(128, 134)(129, 136)(130, 140)(141, 143)(142, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 170)(158, 162)(160, 169)(165, 180)(168, 179)(171, 183)(172, 187)(173, 181)(174, 186)(175, 189)(176, 184)(177, 182)(178, 190)(185, 191)(188, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1238
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1226 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y3^-2 * Y1)^2, (Y3^2 * Y2)^2, Y3^-1 * Y1 * Y3^4 * Y2 * Y3^-1, (Y3^-1 * Y1)^4, (Y3^-1 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 36, 84, 18, 66, 6, 54, 17, 65, 35, 83, 34, 82, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 41, 89, 26, 74, 10, 58, 3, 51, 9, 57, 25, 73, 44, 92, 24, 72, 8, 56)(11, 59, 27, 75, 14, 62, 32, 80, 46, 94, 30, 78, 12, 60, 29, 77, 15, 63, 33, 81, 45, 93, 28, 76)(19, 67, 37, 85, 22, 70, 42, 90, 48, 96, 40, 88, 20, 68, 39, 87, 23, 71, 43, 91, 47, 95, 38, 86)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 132)(122, 131)(123, 133)(124, 138)(125, 135)(126, 139)(127, 141)(128, 134)(129, 136)(130, 142)(137, 143)(140, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 170)(158, 162)(160, 169)(165, 180)(168, 179)(171, 183)(172, 187)(173, 181)(174, 186)(175, 190)(176, 184)(177, 182)(178, 189)(185, 192)(188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1239
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1227 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y1 * Y2)^6 ]
Map::
	R = (1, 49, 4, 52, 9, 57, 20, 68, 33, 81, 42, 90, 45, 93, 38, 86, 26, 74, 15, 63, 6, 54, 5, 53)(2, 50, 7, 55, 14, 62, 27, 75, 37, 85, 46, 94, 41, 89, 34, 82, 19, 67, 10, 58, 3, 51, 8, 56)(11, 59, 22, 70, 13, 61, 25, 73, 28, 76, 40, 88, 47, 95, 44, 92, 35, 83, 24, 72, 12, 60, 23, 71)(16, 64, 29, 77, 18, 66, 32, 80, 21, 69, 36, 84, 43, 91, 48, 96, 39, 87, 31, 79, 17, 65, 30, 78)(97, 98)(99, 105)(100, 107)(101, 109)(102, 110)(103, 112)(104, 114)(106, 117)(108, 116)(111, 124)(113, 123)(115, 129)(118, 125)(119, 128)(120, 132)(121, 126)(122, 133)(127, 136)(130, 139)(131, 138)(134, 143)(135, 142)(137, 141)(140, 144)(145, 147)(146, 150)(148, 156)(149, 155)(151, 161)(152, 160)(153, 163)(154, 162)(157, 159)(158, 170)(164, 179)(165, 178)(166, 174)(167, 173)(168, 176)(169, 175)(171, 183)(172, 182)(177, 185)(180, 188)(181, 189)(184, 192)(186, 191)(187, 190)
	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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1240
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1228 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (Y1 * Y2)^2, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1 * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^-2 * Y2 * Y3 * Y2^-1 * Y1^2 * Y3, Y3 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^6 * Y2^-1, Y1^-2 * Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 30, 78)(13, 61, 34, 82)(14, 62, 35, 83)(15, 63, 36, 84)(16, 64, 37, 85)(17, 65, 38, 86)(20, 68, 40, 88)(22, 70, 44, 92)(24, 72, 45, 93)(25, 73, 46, 94)(26, 74, 47, 95)(27, 75, 48, 96)(29, 77, 42, 90)(31, 79, 43, 91)(32, 80, 41, 89)(33, 81, 39, 87)(97, 98, 103, 116, 135, 131, 141, 133, 143, 127, 107, 101)(99, 104, 102, 106, 118, 137, 134, 144, 132, 142, 125, 109)(100, 110, 126, 136, 122, 105, 120, 114, 129, 139, 117, 112)(108, 128, 138, 124, 111, 119, 113, 130, 140, 121, 115, 123)(145, 147, 155, 173, 191, 180, 189, 182, 183, 166, 151, 150)(146, 152, 149, 157, 175, 190, 181, 192, 179, 185, 164, 154)(148, 159, 165, 186, 177, 156, 168, 163, 170, 188, 174, 161)(153, 169, 184, 178, 158, 167, 160, 172, 187, 176, 162, 171)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1241
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1229 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1, Y2), (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^2 * Y3 * Y2 * Y1^-1, Y1^12, Y2^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 30, 78)(13, 61, 34, 82)(14, 62, 35, 83)(15, 63, 36, 84)(16, 64, 37, 85)(17, 65, 38, 86)(20, 68, 40, 88)(22, 70, 44, 92)(24, 72, 45, 93)(25, 73, 46, 94)(26, 74, 47, 95)(27, 75, 48, 96)(29, 77, 43, 91)(31, 79, 42, 90)(32, 80, 39, 87)(33, 81, 41, 89)(97, 98, 103, 116, 135, 134, 144, 132, 142, 127, 107, 101)(99, 104, 102, 106, 118, 137, 131, 141, 133, 143, 125, 109)(100, 110, 126, 140, 121, 115, 123, 108, 128, 139, 117, 112)(105, 120, 114, 129, 138, 124, 111, 119, 113, 130, 136, 122)(145, 147, 155, 173, 190, 181, 192, 179, 183, 166, 151, 150)(146, 152, 149, 157, 175, 191, 180, 189, 182, 185, 164, 154)(148, 159, 165, 186, 176, 162, 171, 153, 169, 184, 174, 161)(156, 168, 163, 170, 188, 178, 158, 167, 160, 172, 187, 177)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1242
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1230 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^12, Y2^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 17, 65)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(13, 61, 24, 72)(16, 64, 26, 74)(18, 66, 28, 76)(21, 69, 30, 78)(23, 71, 32, 80)(25, 73, 34, 82)(27, 75, 36, 84)(29, 77, 38, 86)(31, 79, 40, 88)(33, 81, 42, 90)(35, 83, 44, 92)(37, 85, 45, 93)(39, 87, 46, 94)(41, 89, 47, 95)(43, 91, 48, 96)(97, 98, 103, 112, 121, 129, 137, 135, 125, 119, 107, 101)(99, 104, 102, 106, 114, 123, 131, 139, 133, 127, 117, 109)(100, 110, 118, 128, 134, 142, 143, 138, 130, 122, 113, 105)(108, 120, 126, 136, 141, 144, 140, 132, 124, 116, 111, 115)(145, 147, 155, 165, 173, 181, 185, 179, 169, 162, 151, 150)(146, 152, 149, 157, 167, 175, 183, 187, 177, 171, 160, 154)(148, 159, 161, 172, 178, 188, 191, 189, 182, 174, 166, 156)(153, 164, 170, 180, 186, 192, 190, 184, 176, 168, 158, 163)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1243
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1231 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y3, Y2^-2 * Y1^10, Y1^-2 * Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 15, 63)(6, 54, 14, 62)(7, 55, 17, 65)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(13, 61, 24, 72)(16, 64, 26, 74)(18, 66, 28, 76)(21, 69, 30, 78)(23, 71, 32, 80)(25, 73, 34, 82)(27, 75, 36, 84)(29, 77, 38, 86)(31, 79, 40, 88)(33, 81, 42, 90)(35, 83, 44, 92)(37, 85, 45, 93)(39, 87, 46, 94)(41, 89, 47, 95)(43, 91, 48, 96)(97, 98, 103, 112, 121, 129, 137, 135, 125, 119, 107, 101)(99, 104, 102, 106, 114, 123, 131, 139, 133, 127, 117, 109)(100, 108, 118, 126, 134, 141, 143, 140, 130, 124, 113, 110)(105, 115, 111, 120, 128, 136, 142, 144, 138, 132, 122, 116)(145, 147, 155, 165, 173, 181, 185, 179, 169, 162, 151, 150)(146, 152, 149, 157, 167, 175, 183, 187, 177, 171, 160, 154)(148, 153, 161, 170, 178, 186, 191, 190, 182, 176, 166, 159)(156, 163, 158, 164, 172, 180, 188, 192, 189, 184, 174, 168)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1244
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 28, 76)(20, 68, 30, 78)(22, 70, 32, 80)(25, 73, 34, 82)(27, 75, 36, 84)(29, 77, 38, 86)(31, 79, 40, 88)(33, 81, 41, 89)(35, 83, 43, 91)(37, 85, 44, 92)(39, 87, 46, 94)(42, 90, 47, 95)(45, 93, 48, 96)(97, 98, 101, 107, 116, 125, 133, 129, 121, 111, 103, 99)(100, 105, 112, 123, 130, 138, 140, 135, 126, 118, 108, 106)(102, 109, 104, 113, 122, 131, 137, 141, 134, 127, 117, 110)(114, 119, 115, 120, 128, 136, 142, 144, 143, 139, 132, 124)(145, 147, 151, 159, 169, 177, 181, 173, 164, 155, 149, 146)(148, 154, 156, 166, 174, 183, 188, 186, 178, 171, 160, 153)(150, 158, 165, 175, 182, 189, 185, 179, 170, 161, 152, 157)(162, 172, 180, 187, 191, 192, 190, 184, 176, 168, 163, 167)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1245
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1233 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1, Y2), (Y1 * Y2)^2, R * Y1 * R * Y2, Y1^-2 * Y2^-2, (R * Y3)^2, Y1^-2 * Y2 * Y1^-3, (Y2 * Y3 * Y1)^2, Y2^5 * Y1^-1, (Y3 * Y1^-2)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y2^-2)^2, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 109, 99, 104, 102, 106, 118, 107, 101)(100, 110, 125, 134, 124, 111, 119, 113, 128, 135, 117, 112)(105, 120, 114, 127, 136, 121, 115, 123, 108, 126, 133, 122)(129, 137, 131, 139, 144, 141, 132, 140, 130, 138, 143, 142)(145, 147, 155, 164, 154, 146, 152, 149, 157, 166, 151, 150)(148, 159, 165, 182, 176, 158, 167, 160, 172, 183, 173, 161)(153, 169, 181, 175, 156, 168, 163, 170, 184, 174, 162, 171)(177, 189, 191, 187, 178, 185, 180, 190, 192, 186, 179, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1246
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y1 * Y3 * Y1)^2, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 26, 74, 122, 170, 34, 82, 130, 178, 42, 90, 138, 186, 36, 84, 132, 180, 28, 76, 124, 172, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 30, 78, 126, 174, 38, 86, 134, 182, 45, 93, 141, 189, 40, 88, 136, 184, 32, 80, 128, 176, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 25, 73, 121, 169, 33, 81, 129, 177, 41, 89, 137, 185, 47, 95, 143, 191, 43, 91, 139, 187, 35, 83, 131, 179, 27, 75, 123, 171, 18, 66, 114, 162, 9, 57, 105, 153, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 29, 77, 125, 173, 37, 85, 133, 181, 44, 92, 140, 188, 48, 96, 144, 192, 46, 94, 142, 190, 39, 87, 135, 183, 31, 79, 127, 175, 23, 71, 119, 167, 13, 61, 109, 157, 21, 69, 117, 165)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 68)(16, 69)(17, 73)(18, 71)(19, 75)(20, 63)(21, 64)(22, 77)(23, 66)(24, 79)(25, 65)(26, 78)(27, 67)(28, 80)(29, 70)(30, 74)(31, 72)(32, 76)(33, 85)(34, 89)(35, 87)(36, 91)(37, 81)(38, 92)(39, 83)(40, 94)(41, 82)(42, 93)(43, 84)(44, 86)(45, 90)(46, 88)(47, 96)(48, 95)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 156)(105, 148)(106, 158)(107, 149)(108, 152)(109, 150)(110, 154)(111, 164)(112, 165)(113, 169)(114, 167)(115, 171)(116, 159)(117, 160)(118, 173)(119, 162)(120, 175)(121, 161)(122, 174)(123, 163)(124, 176)(125, 166)(126, 170)(127, 168)(128, 172)(129, 181)(130, 185)(131, 183)(132, 187)(133, 177)(134, 188)(135, 179)(136, 190)(137, 178)(138, 189)(139, 180)(140, 182)(141, 186)(142, 184)(143, 192)(144, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1221
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1235 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 26, 74, 122, 170, 34, 82, 130, 178, 42, 90, 138, 186, 36, 84, 132, 180, 28, 76, 124, 172, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 30, 78, 126, 174, 38, 86, 134, 182, 45, 93, 141, 189, 40, 88, 136, 184, 32, 80, 128, 176, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 9, 57, 105, 153, 18, 66, 114, 162, 27, 75, 123, 171, 35, 83, 131, 179, 43, 91, 139, 187, 47, 95, 143, 191, 41, 89, 137, 185, 33, 81, 129, 177, 25, 73, 121, 169, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 13, 61, 109, 157, 23, 71, 119, 167, 31, 79, 127, 175, 39, 87, 135, 183, 46, 94, 142, 190, 48, 96, 144, 192, 44, 92, 140, 188, 37, 85, 133, 181, 29, 77, 125, 173, 21, 69, 117, 165)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 52)(10, 60)(11, 53)(12, 58)(13, 54)(14, 56)(15, 68)(16, 71)(17, 73)(18, 69)(19, 75)(20, 63)(21, 66)(22, 77)(23, 64)(24, 79)(25, 65)(26, 80)(27, 67)(28, 78)(29, 70)(30, 76)(31, 72)(32, 74)(33, 87)(34, 89)(35, 85)(36, 91)(37, 83)(38, 92)(39, 81)(40, 94)(41, 82)(42, 93)(43, 84)(44, 86)(45, 90)(46, 88)(47, 96)(48, 95)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 158)(105, 148)(106, 156)(107, 149)(108, 154)(109, 150)(110, 152)(111, 164)(112, 167)(113, 169)(114, 165)(115, 171)(116, 159)(117, 162)(118, 173)(119, 160)(120, 175)(121, 161)(122, 176)(123, 163)(124, 174)(125, 166)(126, 172)(127, 168)(128, 170)(129, 183)(130, 185)(131, 181)(132, 187)(133, 179)(134, 188)(135, 177)(136, 190)(137, 178)(138, 189)(139, 180)(140, 182)(141, 186)(142, 184)(143, 192)(144, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1222
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1236 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-3, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y2 * Y1)^3, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y2 * Y1 * Y2, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 28, 76, 124, 172, 9, 57, 105, 153, 27, 75, 123, 171, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 38, 86, 134, 182, 18, 66, 114, 162, 37, 85, 133, 181, 26, 74, 122, 170, 8, 56, 104, 152)(12, 60, 108, 156, 32, 80, 128, 176, 15, 63, 111, 159, 35, 83, 131, 179, 13, 61, 109, 157, 34, 82, 130, 178, 16, 64, 112, 160, 36, 84, 132, 180, 39, 87, 135, 183, 48, 96, 144, 192, 41, 89, 137, 185, 33, 81, 129, 177)(21, 69, 117, 165, 42, 90, 138, 186, 24, 72, 120, 168, 45, 93, 141, 189, 22, 70, 118, 166, 44, 92, 140, 188, 25, 73, 121, 169, 46, 94, 142, 190, 29, 77, 125, 173, 47, 95, 143, 191, 31, 79, 127, 175, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 79)(12, 52)(13, 75)(14, 74)(15, 53)(16, 76)(17, 71)(18, 54)(19, 87)(20, 89)(21, 55)(22, 85)(23, 65)(24, 56)(25, 86)(26, 62)(27, 61)(28, 64)(29, 58)(30, 88)(31, 59)(32, 90)(33, 93)(34, 95)(35, 91)(36, 94)(37, 70)(38, 73)(39, 67)(40, 78)(41, 68)(42, 80)(43, 83)(44, 96)(45, 81)(46, 84)(47, 82)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 167)(111, 164)(112, 149)(113, 174)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 158)(120, 155)(121, 152)(122, 184)(123, 183)(124, 185)(125, 181)(126, 161)(127, 182)(128, 188)(129, 190)(130, 186)(131, 189)(132, 187)(133, 173)(134, 175)(135, 171)(136, 170)(137, 172)(138, 178)(139, 180)(140, 176)(141, 179)(142, 177)(143, 192)(144, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1223
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1237 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 91>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3^-2 * Y1 * Y3^2, (Y2 * Y3^-1 * Y2 * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^6 * Y1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 36, 84, 132, 180, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 34, 82, 130, 178, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 41, 89, 137, 185, 26, 74, 122, 170, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 44, 92, 140, 188, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 27, 75, 123, 171, 45, 93, 141, 189, 33, 81, 129, 177, 15, 63, 111, 159, 30, 78, 126, 174, 12, 60, 108, 156, 29, 77, 125, 173, 46, 94, 142, 190, 32, 80, 128, 176, 14, 62, 110, 158, 28, 76, 124, 172)(19, 67, 115, 163, 37, 85, 133, 181, 47, 95, 143, 191, 43, 91, 139, 187, 23, 71, 119, 167, 40, 88, 136, 184, 20, 68, 116, 164, 39, 87, 135, 183, 48, 96, 144, 192, 42, 90, 138, 186, 22, 70, 118, 166, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 69)(14, 53)(15, 66)(16, 72)(17, 60)(18, 63)(19, 55)(20, 57)(21, 61)(22, 56)(23, 58)(24, 64)(25, 83)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 93)(32, 90)(33, 91)(34, 94)(35, 73)(36, 74)(37, 75)(38, 76)(39, 77)(40, 78)(41, 95)(42, 80)(43, 81)(44, 96)(45, 79)(46, 82)(47, 89)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 169)(110, 162)(111, 149)(112, 170)(113, 155)(114, 158)(115, 153)(116, 151)(117, 179)(118, 154)(119, 152)(120, 180)(121, 157)(122, 160)(123, 183)(124, 184)(125, 181)(126, 182)(127, 190)(128, 187)(129, 186)(130, 189)(131, 165)(132, 168)(133, 173)(134, 174)(135, 171)(136, 172)(137, 192)(138, 177)(139, 176)(140, 191)(141, 178)(142, 175)(143, 188)(144, 185)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1224
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1238 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, (Y3^-2 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y3^-5 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 38, 86, 134, 182, 19, 67, 115, 163, 37, 85, 133, 181, 22, 70, 118, 166, 42, 90, 138, 186, 34, 82, 130, 178, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 41, 89, 137, 185, 28, 76, 124, 172, 11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 32, 80, 128, 176, 44, 92, 140, 188, 24, 72, 120, 168, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 45, 93, 141, 189, 30, 78, 126, 174, 12, 60, 108, 156, 29, 77, 125, 173, 15, 63, 111, 159, 33, 81, 129, 177, 46, 94, 142, 190, 26, 74, 122, 170, 10, 58, 106, 154)(6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 47, 95, 143, 191, 40, 88, 136, 184, 20, 68, 116, 164, 39, 87, 135, 183, 23, 71, 119, 167, 43, 91, 139, 187, 48, 96, 144, 192, 36, 84, 132, 180, 18, 66, 114, 162)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 84)(26, 83)(27, 85)(28, 90)(29, 87)(30, 91)(31, 89)(32, 86)(33, 88)(34, 92)(35, 74)(36, 73)(37, 75)(38, 80)(39, 77)(40, 81)(41, 79)(42, 76)(43, 78)(44, 82)(45, 95)(46, 96)(47, 93)(48, 94)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 170)(110, 162)(111, 149)(112, 169)(113, 155)(114, 158)(115, 153)(116, 151)(117, 180)(118, 154)(119, 152)(120, 179)(121, 160)(122, 157)(123, 183)(124, 187)(125, 181)(126, 186)(127, 189)(128, 184)(129, 182)(130, 190)(131, 168)(132, 165)(133, 173)(134, 177)(135, 171)(136, 176)(137, 191)(138, 174)(139, 172)(140, 192)(141, 175)(142, 178)(143, 185)(144, 188)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1225
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1239 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y3^-2 * Y1)^2, (Y3^2 * Y2)^2, Y3^-1 * Y1 * Y3^4 * Y2 * Y3^-1, (Y3^-1 * Y1)^4, (Y3^-1 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 36, 84, 132, 180, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 34, 82, 130, 178, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 41, 89, 137, 185, 26, 74, 122, 170, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 44, 92, 140, 188, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 32, 80, 128, 176, 46, 94, 142, 190, 30, 78, 126, 174, 12, 60, 108, 156, 29, 77, 125, 173, 15, 63, 111, 159, 33, 81, 129, 177, 45, 93, 141, 189, 28, 76, 124, 172)(19, 67, 115, 163, 37, 85, 133, 181, 22, 70, 118, 166, 42, 90, 138, 186, 48, 96, 144, 192, 40, 88, 136, 184, 20, 68, 116, 164, 39, 87, 135, 183, 23, 71, 119, 167, 43, 91, 139, 187, 47, 95, 143, 191, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 84)(26, 83)(27, 85)(28, 90)(29, 87)(30, 91)(31, 93)(32, 86)(33, 88)(34, 94)(35, 74)(36, 73)(37, 75)(38, 80)(39, 77)(40, 81)(41, 95)(42, 76)(43, 78)(44, 96)(45, 79)(46, 82)(47, 89)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 170)(110, 162)(111, 149)(112, 169)(113, 155)(114, 158)(115, 153)(116, 151)(117, 180)(118, 154)(119, 152)(120, 179)(121, 160)(122, 157)(123, 183)(124, 187)(125, 181)(126, 186)(127, 190)(128, 184)(129, 182)(130, 189)(131, 168)(132, 165)(133, 173)(134, 177)(135, 171)(136, 176)(137, 192)(138, 174)(139, 172)(140, 191)(141, 178)(142, 175)(143, 188)(144, 185)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1226
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1240 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y1 * Y2)^6 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 20, 68, 116, 164, 33, 81, 129, 177, 42, 90, 138, 186, 45, 93, 141, 189, 38, 86, 134, 182, 26, 74, 122, 170, 15, 63, 111, 159, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 14, 62, 110, 158, 27, 75, 123, 171, 37, 85, 133, 181, 46, 94, 142, 190, 41, 89, 137, 185, 34, 82, 130, 178, 19, 67, 115, 163, 10, 58, 106, 154, 3, 51, 99, 147, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 13, 61, 109, 157, 25, 73, 121, 169, 28, 76, 124, 172, 40, 88, 136, 184, 47, 95, 143, 191, 44, 92, 140, 188, 35, 83, 131, 179, 24, 72, 120, 168, 12, 60, 108, 156, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 18, 66, 114, 162, 32, 80, 128, 176, 21, 69, 117, 165, 36, 84, 132, 180, 43, 91, 139, 187, 48, 96, 144, 192, 39, 87, 135, 183, 31, 79, 127, 175, 17, 65, 113, 161, 30, 78, 126, 174)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 61)(6, 62)(7, 64)(8, 66)(9, 51)(10, 69)(11, 52)(12, 68)(13, 53)(14, 54)(15, 76)(16, 55)(17, 75)(18, 56)(19, 81)(20, 60)(21, 58)(22, 77)(23, 80)(24, 84)(25, 78)(26, 85)(27, 65)(28, 63)(29, 70)(30, 73)(31, 88)(32, 71)(33, 67)(34, 91)(35, 90)(36, 72)(37, 74)(38, 95)(39, 94)(40, 79)(41, 93)(42, 83)(43, 82)(44, 96)(45, 89)(46, 87)(47, 86)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 155)(102, 146)(103, 161)(104, 160)(105, 163)(106, 162)(107, 149)(108, 148)(109, 159)(110, 170)(111, 157)(112, 152)(113, 151)(114, 154)(115, 153)(116, 179)(117, 178)(118, 174)(119, 173)(120, 176)(121, 175)(122, 158)(123, 183)(124, 182)(125, 167)(126, 166)(127, 169)(128, 168)(129, 185)(130, 165)(131, 164)(132, 188)(133, 189)(134, 172)(135, 171)(136, 192)(137, 177)(138, 191)(139, 190)(140, 180)(141, 181)(142, 187)(143, 186)(144, 184)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1227
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1241 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (Y1 * Y2)^2, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1 * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y1 * Y2^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^-2 * Y2 * Y3 * Y2^-1 * Y1^2 * Y3, Y3 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^6 * Y2^-1, Y1^-2 * Y2^10 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 30, 78, 126, 174)(13, 61, 109, 157, 34, 82, 130, 178)(14, 62, 110, 158, 35, 83, 131, 179)(15, 63, 111, 159, 36, 84, 132, 180)(16, 64, 112, 160, 37, 85, 133, 181)(17, 65, 113, 161, 38, 86, 134, 182)(20, 68, 116, 164, 40, 88, 136, 184)(22, 70, 118, 166, 44, 92, 140, 188)(24, 72, 120, 168, 45, 93, 141, 189)(25, 73, 121, 169, 46, 94, 142, 190)(26, 74, 122, 170, 47, 95, 143, 191)(27, 75, 123, 171, 48, 96, 144, 192)(29, 77, 125, 173, 42, 90, 138, 186)(31, 79, 127, 175, 43, 91, 139, 187)(32, 80, 128, 176, 41, 89, 137, 185)(33, 81, 129, 177, 39, 87, 135, 183)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 80)(13, 51)(14, 78)(15, 71)(16, 52)(17, 82)(18, 81)(19, 75)(20, 87)(21, 64)(22, 89)(23, 65)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 61)(30, 88)(31, 59)(32, 90)(33, 91)(34, 92)(35, 93)(36, 94)(37, 95)(38, 96)(39, 83)(40, 74)(41, 86)(42, 76)(43, 69)(44, 73)(45, 85)(46, 77)(47, 79)(48, 84)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 173)(108, 168)(109, 175)(110, 167)(111, 165)(112, 172)(113, 148)(114, 171)(115, 170)(116, 154)(117, 186)(118, 151)(119, 160)(120, 163)(121, 184)(122, 188)(123, 153)(124, 187)(125, 191)(126, 161)(127, 190)(128, 162)(129, 156)(130, 158)(131, 185)(132, 189)(133, 192)(134, 183)(135, 166)(136, 178)(137, 164)(138, 177)(139, 176)(140, 174)(141, 182)(142, 181)(143, 180)(144, 179)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1228
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1242 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 87>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1, Y2), (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^2 * Y3 * Y2 * Y1^-1, Y1^12, Y2^12 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 30, 78, 126, 174)(13, 61, 109, 157, 34, 82, 130, 178)(14, 62, 110, 158, 35, 83, 131, 179)(15, 63, 111, 159, 36, 84, 132, 180)(16, 64, 112, 160, 37, 85, 133, 181)(17, 65, 113, 161, 38, 86, 134, 182)(20, 68, 116, 164, 40, 88, 136, 184)(22, 70, 118, 166, 44, 92, 140, 188)(24, 72, 120, 168, 45, 93, 141, 189)(25, 73, 121, 169, 46, 94, 142, 190)(26, 74, 122, 170, 47, 95, 143, 191)(27, 75, 123, 171, 48, 96, 144, 192)(29, 77, 125, 173, 43, 91, 139, 187)(31, 79, 127, 175, 42, 90, 138, 186)(32, 80, 128, 176, 39, 87, 135, 183)(33, 81, 129, 177, 41, 89, 137, 185)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 80)(13, 51)(14, 78)(15, 71)(16, 52)(17, 82)(18, 81)(19, 75)(20, 87)(21, 64)(22, 89)(23, 65)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 61)(30, 92)(31, 59)(32, 91)(33, 90)(34, 88)(35, 93)(36, 94)(37, 95)(38, 96)(39, 86)(40, 74)(41, 83)(42, 76)(43, 69)(44, 73)(45, 85)(46, 79)(47, 77)(48, 84)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 173)(108, 168)(109, 175)(110, 167)(111, 165)(112, 172)(113, 148)(114, 171)(115, 170)(116, 154)(117, 186)(118, 151)(119, 160)(120, 163)(121, 184)(122, 188)(123, 153)(124, 187)(125, 190)(126, 161)(127, 191)(128, 162)(129, 156)(130, 158)(131, 183)(132, 189)(133, 192)(134, 185)(135, 166)(136, 174)(137, 164)(138, 176)(139, 177)(140, 178)(141, 182)(142, 181)(143, 180)(144, 179)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1229
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1243 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^12, Y2^12 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 14, 62, 110, 158)(6, 54, 102, 150, 15, 63, 111, 159)(7, 55, 103, 151, 17, 65, 113, 161)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 20, 68, 116, 164)(11, 59, 107, 155, 22, 70, 118, 166)(13, 61, 109, 157, 24, 72, 120, 168)(16, 64, 112, 160, 26, 74, 122, 170)(18, 66, 114, 162, 28, 76, 124, 172)(21, 69, 117, 165, 30, 78, 126, 174)(23, 71, 119, 167, 32, 80, 128, 176)(25, 73, 121, 169, 34, 82, 130, 178)(27, 75, 123, 171, 36, 84, 132, 180)(29, 77, 125, 173, 38, 86, 134, 182)(31, 79, 127, 175, 40, 88, 136, 184)(33, 81, 129, 177, 42, 90, 138, 186)(35, 83, 131, 179, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(39, 87, 135, 183, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 64)(8, 54)(9, 52)(10, 66)(11, 53)(12, 72)(13, 51)(14, 70)(15, 67)(16, 73)(17, 57)(18, 75)(19, 60)(20, 63)(21, 61)(22, 80)(23, 59)(24, 78)(25, 81)(26, 65)(27, 83)(28, 68)(29, 71)(30, 88)(31, 69)(32, 86)(33, 89)(34, 74)(35, 91)(36, 76)(37, 79)(38, 94)(39, 77)(40, 93)(41, 87)(42, 82)(43, 85)(44, 84)(45, 96)(46, 95)(47, 90)(48, 92)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 164)(106, 146)(107, 165)(108, 148)(109, 167)(110, 163)(111, 161)(112, 154)(113, 172)(114, 151)(115, 153)(116, 170)(117, 173)(118, 156)(119, 175)(120, 158)(121, 162)(122, 180)(123, 160)(124, 178)(125, 181)(126, 166)(127, 183)(128, 168)(129, 171)(130, 188)(131, 169)(132, 186)(133, 185)(134, 174)(135, 187)(136, 176)(137, 179)(138, 192)(139, 177)(140, 191)(141, 182)(142, 184)(143, 189)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1230
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1244 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y3, Y2^-2 * Y1^10, Y1^-2 * Y2^10 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 15, 63, 111, 159)(6, 54, 102, 150, 14, 62, 110, 158)(7, 55, 103, 151, 17, 65, 113, 161)(8, 56, 104, 152, 19, 67, 115, 163)(10, 58, 106, 154, 20, 68, 116, 164)(11, 59, 107, 155, 22, 70, 118, 166)(13, 61, 109, 157, 24, 72, 120, 168)(16, 64, 112, 160, 26, 74, 122, 170)(18, 66, 114, 162, 28, 76, 124, 172)(21, 69, 117, 165, 30, 78, 126, 174)(23, 71, 119, 167, 32, 80, 128, 176)(25, 73, 121, 169, 34, 82, 130, 178)(27, 75, 123, 171, 36, 84, 132, 180)(29, 77, 125, 173, 38, 86, 134, 182)(31, 79, 127, 175, 40, 88, 136, 184)(33, 81, 129, 177, 42, 90, 138, 186)(35, 83, 131, 179, 44, 92, 140, 188)(37, 85, 133, 181, 45, 93, 141, 189)(39, 87, 135, 183, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 64)(8, 54)(9, 67)(10, 66)(11, 53)(12, 70)(13, 51)(14, 52)(15, 72)(16, 73)(17, 62)(18, 75)(19, 63)(20, 57)(21, 61)(22, 78)(23, 59)(24, 80)(25, 81)(26, 68)(27, 83)(28, 65)(29, 71)(30, 86)(31, 69)(32, 88)(33, 89)(34, 76)(35, 91)(36, 74)(37, 79)(38, 93)(39, 77)(40, 94)(41, 87)(42, 84)(43, 85)(44, 82)(45, 95)(46, 96)(47, 92)(48, 90)(97, 147)(98, 152)(99, 155)(100, 153)(101, 157)(102, 145)(103, 150)(104, 149)(105, 161)(106, 146)(107, 165)(108, 163)(109, 167)(110, 164)(111, 148)(112, 154)(113, 170)(114, 151)(115, 158)(116, 172)(117, 173)(118, 159)(119, 175)(120, 156)(121, 162)(122, 178)(123, 160)(124, 180)(125, 181)(126, 168)(127, 183)(128, 166)(129, 171)(130, 186)(131, 169)(132, 188)(133, 185)(134, 176)(135, 187)(136, 174)(137, 179)(138, 191)(139, 177)(140, 192)(141, 184)(142, 182)(143, 190)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1231
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1245 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 28, 76, 124, 172)(20, 68, 116, 164, 30, 78, 126, 174)(22, 70, 118, 166, 32, 80, 128, 176)(25, 73, 121, 169, 34, 82, 130, 178)(27, 75, 123, 171, 36, 84, 132, 180)(29, 77, 125, 173, 38, 86, 134, 182)(31, 79, 127, 175, 40, 88, 136, 184)(33, 81, 129, 177, 41, 89, 137, 185)(35, 83, 131, 179, 43, 91, 139, 187)(37, 85, 133, 181, 44, 92, 140, 188)(39, 87, 135, 183, 46, 94, 142, 190)(42, 90, 138, 186, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 64)(10, 52)(11, 68)(12, 58)(13, 56)(14, 54)(15, 55)(16, 75)(17, 74)(18, 71)(19, 72)(20, 77)(21, 62)(22, 60)(23, 67)(24, 80)(25, 63)(26, 83)(27, 82)(28, 66)(29, 85)(30, 70)(31, 69)(32, 88)(33, 73)(34, 90)(35, 89)(36, 76)(37, 81)(38, 79)(39, 78)(40, 94)(41, 93)(42, 92)(43, 84)(44, 87)(45, 86)(46, 96)(47, 91)(48, 95)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 157)(105, 148)(106, 156)(107, 149)(108, 166)(109, 150)(110, 165)(111, 169)(112, 153)(113, 152)(114, 172)(115, 167)(116, 155)(117, 175)(118, 174)(119, 162)(120, 163)(121, 177)(122, 161)(123, 160)(124, 180)(125, 164)(126, 183)(127, 182)(128, 168)(129, 181)(130, 171)(131, 170)(132, 187)(133, 173)(134, 189)(135, 188)(136, 176)(137, 179)(138, 178)(139, 191)(140, 186)(141, 185)(142, 184)(143, 192)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1232
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1246 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1, Y2), (Y1 * Y2)^2, R * Y1 * R * Y2, Y1^-2 * Y2^-2, (R * Y3)^2, Y1^-2 * Y2 * Y1^-3, (Y2 * Y3 * Y1)^2, Y2^5 * Y1^-1, (Y3 * Y1^-2)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y3 * Y2^-2)^2, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 77)(15, 71)(16, 52)(17, 80)(18, 79)(19, 75)(20, 61)(21, 64)(22, 59)(23, 65)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 86)(30, 85)(31, 88)(32, 87)(33, 89)(34, 90)(35, 91)(36, 92)(37, 74)(38, 76)(39, 69)(40, 73)(41, 83)(42, 95)(43, 96)(44, 82)(45, 84)(46, 81)(47, 94)(48, 93)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 164)(108, 168)(109, 166)(110, 167)(111, 165)(112, 172)(113, 148)(114, 171)(115, 170)(116, 154)(117, 182)(118, 151)(119, 160)(120, 163)(121, 181)(122, 184)(123, 153)(124, 183)(125, 161)(126, 162)(127, 156)(128, 158)(129, 189)(130, 185)(131, 188)(132, 190)(133, 175)(134, 176)(135, 173)(136, 174)(137, 180)(138, 179)(139, 178)(140, 177)(141, 191)(142, 192)(143, 187)(144, 186)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1233
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|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, Y3^2 * Y1 * Y3^-2 * Y1, Y3^-6 * Y2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y1 * Y3^-3)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 17, 65)(8, 56, 19, 67)(9, 57, 21, 69)(10, 58, 23, 71)(12, 60, 18, 66)(14, 62, 20, 68)(15, 63, 30, 78)(16, 64, 32, 80)(22, 70, 31, 79)(24, 72, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(27, 75, 42, 90)(28, 76, 37, 85)(29, 77, 43, 91)(36, 84, 47, 95)(38, 86, 48, 96)(39, 87, 44, 92)(40, 88, 45, 93)(41, 89, 46, 94)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 111, 159)(104, 152, 112, 160)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(113, 161, 126, 174)(114, 162, 127, 175)(115, 163, 128, 176)(116, 164, 129, 177)(121, 169, 135, 183)(122, 170, 136, 184)(123, 171, 125, 173)(124, 172, 137, 185)(130, 178, 140, 188)(131, 179, 141, 189)(132, 180, 134, 182)(133, 181, 142, 190)(138, 186, 139, 187)(143, 191, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 111)(7, 114)(8, 98)(9, 118)(10, 99)(11, 121)(12, 123)(13, 122)(14, 101)(15, 127)(16, 102)(17, 130)(18, 132)(19, 131)(20, 104)(21, 135)(22, 125)(23, 136)(24, 106)(25, 138)(26, 107)(27, 120)(28, 109)(29, 110)(30, 140)(31, 134)(32, 141)(33, 112)(34, 143)(35, 113)(36, 129)(37, 115)(38, 116)(39, 139)(40, 117)(41, 119)(42, 137)(43, 124)(44, 144)(45, 126)(46, 128)(47, 142)(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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.1266
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.1248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|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, Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 20, 68)(16, 64, 21, 69)(17, 65, 25, 73)(18, 66, 23, 71)(19, 67, 27, 75)(22, 70, 29, 77)(24, 72, 31, 79)(26, 74, 30, 78)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 41, 89)(35, 83, 39, 87)(36, 84, 43, 91)(38, 86, 44, 92)(40, 88, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 122, 170, 130, 178, 138, 186, 132, 180, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 126, 174, 134, 182, 141, 189, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 121, 169, 129, 177, 137, 185, 143, 191, 139, 187, 131, 179, 123, 171, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 125, 173, 133, 181, 140, 188, 144, 192, 142, 190, 135, 183, 127, 175, 119, 167, 109, 157, 117, 165)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|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, Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y2 * Y1)^4, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	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, 20, 68)(16, 64, 23, 71)(17, 65, 25, 73)(18, 66, 21, 69)(19, 67, 27, 75)(22, 70, 29, 77)(24, 72, 31, 79)(26, 74, 32, 80)(28, 76, 30, 78)(33, 81, 39, 87)(34, 82, 41, 89)(35, 83, 37, 85)(36, 84, 43, 91)(38, 86, 44, 92)(40, 88, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 122, 170, 130, 178, 138, 186, 132, 180, 124, 172, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 126, 174, 134, 182, 141, 189, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 123, 171, 131, 179, 139, 187, 143, 191, 137, 185, 129, 177, 121, 169, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 127, 175, 135, 183, 142, 190, 144, 192, 140, 188, 133, 181, 125, 173, 117, 165)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6 * Y3, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 20, 68)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 30, 78)(23, 71, 32, 80)(24, 72, 39, 87)(25, 73, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 43, 91)(33, 81, 44, 92)(38, 86, 48, 96)(40, 88, 45, 93)(41, 89, 46, 94)(42, 90, 47, 95)(97, 145, 99, 147, 106, 154, 120, 168, 123, 171, 108, 156, 100, 148, 107, 155, 121, 169, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 132, 180, 114, 162, 103, 151, 113, 161, 130, 178, 134, 182, 116, 164, 104, 152)(105, 153, 117, 165, 135, 183, 138, 186, 122, 170, 137, 185, 118, 166, 136, 184, 139, 187, 124, 172, 109, 157, 119, 167)(111, 159, 126, 174, 140, 188, 143, 191, 131, 179, 142, 190, 127, 175, 141, 189, 144, 192, 133, 181, 115, 163, 128, 176)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 136)(22, 105)(23, 137)(24, 125)(25, 106)(26, 109)(27, 110)(28, 138)(29, 120)(30, 141)(31, 111)(32, 142)(33, 134)(34, 112)(35, 115)(36, 116)(37, 143)(38, 129)(39, 139)(40, 117)(41, 119)(42, 124)(43, 135)(44, 144)(45, 126)(46, 128)(47, 133)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6 * Y3, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 16, 64)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 30, 78)(23, 71, 37, 85)(24, 72, 41, 89)(25, 73, 36, 84)(27, 75, 34, 82)(28, 76, 32, 80)(29, 77, 43, 91)(33, 81, 46, 94)(38, 86, 48, 96)(39, 87, 44, 92)(40, 88, 47, 95)(42, 90, 45, 93)(97, 145, 99, 147, 106, 154, 120, 168, 123, 171, 108, 156, 100, 148, 107, 155, 121, 169, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 132, 180, 114, 162, 103, 151, 113, 161, 130, 178, 134, 182, 116, 164, 104, 152)(105, 153, 117, 165, 109, 157, 124, 172, 139, 187, 136, 184, 118, 166, 135, 183, 122, 170, 138, 186, 137, 185, 119, 167)(111, 159, 126, 174, 115, 163, 133, 181, 144, 192, 141, 189, 127, 175, 140, 188, 131, 179, 143, 191, 142, 190, 128, 176)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 135)(22, 105)(23, 136)(24, 125)(25, 106)(26, 109)(27, 110)(28, 138)(29, 120)(30, 140)(31, 111)(32, 141)(33, 134)(34, 112)(35, 115)(36, 116)(37, 143)(38, 129)(39, 117)(40, 119)(41, 139)(42, 124)(43, 137)(44, 126)(45, 128)(46, 144)(47, 133)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 11, 59)(8, 56, 12, 60)(10, 58, 15, 63)(14, 62, 16, 64)(17, 65, 19, 67)(18, 66, 25, 73)(20, 68, 21, 69)(22, 70, 29, 77)(23, 71, 27, 75)(24, 72, 28, 76)(26, 74, 31, 79)(30, 78, 32, 80)(33, 81, 35, 83)(34, 82, 41, 89)(36, 84, 37, 85)(38, 86, 45, 93)(39, 87, 43, 91)(40, 88, 44, 92)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 134, 182, 126, 174, 118, 166, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 144, 192, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156)(103, 151, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 143, 191, 141, 189, 133, 181, 125, 173, 117, 165, 109, 157)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 105)(7, 98)(8, 109)(9, 102)(10, 115)(11, 99)(12, 101)(13, 104)(14, 116)(15, 113)(16, 117)(17, 111)(18, 123)(19, 106)(20, 110)(21, 112)(22, 124)(23, 121)(24, 125)(25, 119)(26, 131)(27, 114)(28, 118)(29, 120)(30, 132)(31, 129)(32, 133)(33, 127)(34, 139)(35, 122)(36, 126)(37, 128)(38, 140)(39, 137)(40, 141)(41, 135)(42, 144)(43, 130)(44, 134)(45, 136)(46, 143)(47, 142)(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, 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2^-4 * Y1 * Y3)^2, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 12, 60)(8, 56, 11, 59)(10, 58, 16, 64)(14, 62, 15, 63)(17, 65, 19, 67)(18, 66, 25, 73)(20, 68, 21, 69)(22, 70, 29, 77)(23, 71, 28, 76)(24, 72, 27, 75)(26, 74, 32, 80)(30, 78, 31, 79)(33, 81, 35, 83)(34, 82, 41, 89)(36, 84, 37, 85)(38, 86, 45, 93)(39, 87, 44, 92)(40, 88, 43, 91)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 134, 182, 126, 174, 118, 166, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 144, 192, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156)(103, 151, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 143, 191, 137, 185, 129, 177, 121, 169, 113, 161, 105, 153)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 109)(7, 98)(8, 105)(9, 104)(10, 115)(11, 99)(12, 101)(13, 102)(14, 116)(15, 117)(16, 113)(17, 112)(18, 123)(19, 106)(20, 110)(21, 111)(22, 124)(23, 125)(24, 121)(25, 120)(26, 131)(27, 114)(28, 118)(29, 119)(30, 132)(31, 133)(32, 129)(33, 128)(34, 139)(35, 122)(36, 126)(37, 127)(38, 140)(39, 141)(40, 137)(41, 136)(42, 144)(43, 130)(44, 134)(45, 135)(46, 143)(47, 142)(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, 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y3 * Y2^2 * Y1 * Y2^-2 * Y3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y2^3 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 20, 68)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 30, 78)(23, 71, 32, 80)(24, 72, 39, 87)(25, 73, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 46, 94)(33, 81, 45, 93)(38, 86, 43, 91)(40, 88, 47, 95)(41, 89, 48, 96)(42, 90, 44, 92)(97, 145, 99, 147, 106, 154, 120, 168, 138, 186, 131, 179, 144, 192, 127, 175, 143, 191, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 140, 188, 122, 170, 137, 185, 118, 166, 136, 184, 134, 182, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 139, 187, 133, 181, 115, 163, 128, 176, 111, 159, 126, 174, 141, 189, 123, 171, 108, 156)(103, 151, 113, 161, 130, 178, 142, 190, 124, 172, 109, 157, 119, 167, 105, 153, 117, 165, 135, 183, 132, 180, 114, 162)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 136)(22, 105)(23, 137)(24, 139)(25, 106)(26, 109)(27, 110)(28, 140)(29, 141)(30, 143)(31, 111)(32, 144)(33, 142)(34, 112)(35, 115)(36, 116)(37, 138)(38, 135)(39, 134)(40, 117)(41, 119)(42, 133)(43, 120)(44, 124)(45, 125)(46, 129)(47, 126)(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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y1 * Y2^2)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1)^4, Y1 * Y3 * Y2^3 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 16, 64)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 30, 78)(23, 71, 37, 85)(24, 72, 41, 89)(25, 73, 36, 84)(27, 75, 34, 82)(28, 76, 32, 80)(29, 77, 46, 94)(33, 81, 43, 91)(38, 86, 45, 93)(39, 87, 48, 96)(40, 88, 47, 95)(42, 90, 44, 92)(97, 145, 99, 147, 106, 154, 120, 168, 138, 186, 127, 175, 144, 192, 131, 179, 143, 191, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 136, 184, 118, 166, 135, 183, 122, 170, 140, 188, 134, 182, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 139, 187, 128, 176, 111, 159, 126, 174, 115, 163, 133, 181, 141, 189, 123, 171, 108, 156)(103, 151, 113, 161, 130, 178, 137, 185, 119, 167, 105, 153, 117, 165, 109, 157, 124, 172, 142, 190, 132, 180, 114, 162)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 135)(22, 105)(23, 136)(24, 139)(25, 106)(26, 109)(27, 110)(28, 140)(29, 141)(30, 144)(31, 111)(32, 138)(33, 137)(34, 112)(35, 115)(36, 116)(37, 143)(38, 142)(39, 117)(40, 119)(41, 129)(42, 128)(43, 120)(44, 124)(45, 125)(46, 134)(47, 133)(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) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, Y2^6 * Y1, (Y3 * Y2^-1 * Y3 * Y2)^2, (Y3 * Y2^-3)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 29, 77)(22, 70, 30, 78)(23, 71, 31, 79)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 34, 82)(27, 75, 35, 83)(28, 76, 36, 84)(37, 85, 43, 91)(38, 86, 42, 90)(39, 87, 44, 92)(40, 88, 45, 93)(41, 89, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 116, 164, 104, 152, 98, 146, 102, 150, 111, 159, 125, 173, 110, 158, 101, 149)(100, 148, 107, 155, 118, 166, 134, 182, 131, 179, 114, 162, 103, 151, 113, 161, 126, 174, 138, 186, 123, 171, 108, 156)(106, 154, 119, 167, 133, 181, 132, 180, 115, 163, 128, 176, 112, 160, 127, 175, 139, 187, 124, 172, 109, 157, 120, 168)(121, 169, 135, 183, 143, 191, 142, 190, 130, 178, 141, 189, 129, 177, 140, 188, 144, 192, 137, 185, 122, 170, 136, 184)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 121)(12, 122)(13, 101)(14, 123)(15, 126)(16, 102)(17, 129)(18, 130)(19, 104)(20, 131)(21, 133)(22, 105)(23, 135)(24, 136)(25, 107)(26, 108)(27, 110)(28, 137)(29, 139)(30, 111)(31, 140)(32, 141)(33, 113)(34, 114)(35, 116)(36, 142)(37, 117)(38, 143)(39, 119)(40, 120)(41, 124)(42, 144)(43, 125)(44, 127)(45, 128)(46, 132)(47, 134)(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, 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 E21.1261
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, R * Y2 * R * Y1 * Y2, Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 11, 59)(12, 60, 13, 61)(14, 62, 16, 64)(17, 65, 23, 71)(18, 66, 19, 67)(20, 68, 21, 69)(22, 70, 24, 72)(25, 73, 31, 79)(26, 74, 27, 75)(28, 76, 29, 77)(30, 78, 32, 80)(33, 81, 39, 87)(34, 82, 35, 83)(36, 84, 37, 85)(38, 86, 40, 88)(41, 89, 46, 94)(42, 90, 43, 91)(44, 92, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 134, 182, 126, 174, 118, 166, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 107, 155, 114, 162, 123, 171, 130, 178, 139, 187, 143, 191, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156)(103, 151, 106, 154, 115, 163, 122, 170, 131, 179, 138, 186, 144, 192, 141, 189, 133, 181, 125, 173, 117, 165, 109, 157)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 107)(7, 98)(8, 108)(9, 114)(10, 99)(11, 102)(12, 104)(13, 101)(14, 116)(15, 115)(16, 117)(17, 122)(18, 105)(19, 111)(20, 110)(21, 112)(22, 125)(23, 123)(24, 124)(25, 130)(26, 113)(27, 119)(28, 120)(29, 118)(30, 132)(31, 131)(32, 133)(33, 138)(34, 121)(35, 127)(36, 126)(37, 128)(38, 141)(39, 139)(40, 140)(41, 143)(42, 129)(43, 135)(44, 136)(45, 134)(46, 144)(47, 137)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1259
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2^2 * Y3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y2^2 * Y3 * Y2^3 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 30, 78)(22, 70, 31, 79)(23, 71, 32, 80)(24, 72, 33, 81)(25, 73, 34, 82)(26, 74, 35, 83)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 38, 86)(39, 87, 44, 92)(40, 88, 45, 93)(41, 89, 46, 94)(42, 90, 47, 95)(43, 91, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 135, 183, 131, 179, 144, 192, 130, 178, 143, 191, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 126, 174, 140, 188, 122, 170, 139, 187, 121, 169, 138, 186, 134, 182, 116, 164, 104, 152)(100, 148, 107, 155, 118, 166, 137, 185, 133, 181, 115, 163, 129, 177, 112, 160, 128, 176, 141, 189, 123, 171, 108, 156)(103, 151, 113, 161, 127, 175, 142, 190, 124, 172, 109, 157, 120, 168, 106, 154, 119, 167, 136, 184, 132, 180, 114, 162)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 121)(12, 122)(13, 101)(14, 123)(15, 127)(16, 102)(17, 130)(18, 131)(19, 104)(20, 132)(21, 136)(22, 105)(23, 138)(24, 139)(25, 107)(26, 108)(27, 110)(28, 140)(29, 142)(30, 141)(31, 111)(32, 143)(33, 144)(34, 113)(35, 114)(36, 116)(37, 135)(38, 137)(39, 133)(40, 117)(41, 134)(42, 119)(43, 120)(44, 124)(45, 126)(46, 125)(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, 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 E21.1260
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|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, Y2^12, (Y2^-1 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 15, 63)(10, 58, 14, 62)(12, 60, 16, 64)(17, 65, 21, 69)(18, 66, 25, 73)(19, 67, 23, 71)(20, 68, 27, 75)(22, 70, 29, 77)(24, 72, 31, 79)(26, 74, 30, 78)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 41, 89)(35, 83, 39, 87)(36, 84, 43, 91)(38, 86, 44, 92)(40, 88, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 102, 150, 110, 158, 118, 166, 126, 174, 134, 182, 141, 189, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 143, 191, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155)(103, 151, 109, 157, 117, 165, 125, 173, 133, 181, 140, 188, 144, 192, 142, 190, 135, 183, 127, 175, 119, 167, 111, 159)
	L = (1, 100)(2, 103)(3, 102)(4, 97)(5, 104)(6, 99)(7, 98)(8, 101)(9, 109)(10, 113)(11, 111)(12, 115)(13, 105)(14, 117)(15, 107)(16, 119)(17, 106)(18, 118)(19, 108)(20, 120)(21, 110)(22, 114)(23, 112)(24, 116)(25, 125)(26, 129)(27, 127)(28, 131)(29, 121)(30, 133)(31, 123)(32, 135)(33, 122)(34, 134)(35, 124)(36, 136)(37, 126)(38, 130)(39, 128)(40, 132)(41, 140)(42, 143)(43, 142)(44, 137)(45, 144)(46, 139)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E21.1257
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y2^-2 * Y3, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1, Y3 * Y2^6 * Y1, (Y3 * Y2 * Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 18, 66)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 24, 72)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 45, 93)(28, 76, 38, 86)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 41, 89)(32, 80, 42, 90)(33, 81, 43, 91)(34, 82, 46, 94)(37, 85, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 137, 185, 117, 165, 103, 151, 116, 164, 134, 182, 130, 178, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 133, 181, 127, 175, 109, 157, 100, 148, 108, 156, 124, 172, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 141, 189, 129, 177, 111, 159, 126, 174, 107, 155, 125, 173, 142, 190, 128, 176, 110, 158, 122, 170)(113, 161, 131, 179, 143, 191, 139, 187, 119, 167, 136, 184, 115, 163, 135, 183, 144, 192, 138, 186, 118, 166, 132, 180)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 124)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 127)(17, 108)(18, 134)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 137)(25, 135)(26, 136)(27, 142)(28, 106)(29, 131)(30, 132)(31, 112)(32, 139)(33, 138)(34, 141)(35, 125)(36, 126)(37, 144)(38, 114)(39, 121)(40, 122)(41, 120)(42, 129)(43, 128)(44, 143)(45, 130)(46, 123)(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) :: { ( 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 E21.1258
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y2^5 * Y3 * Y2 * Y1, (Y2^-1 * Y3 * Y2 * Y1)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 18, 66)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 24, 72)(25, 73, 35, 83)(26, 74, 36, 84)(27, 75, 45, 93)(28, 76, 38, 86)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 41, 89)(32, 80, 42, 90)(33, 81, 43, 91)(34, 82, 46, 94)(37, 85, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 139, 187, 119, 167, 136, 184, 115, 163, 135, 183, 130, 178, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 133, 181, 129, 177, 111, 159, 126, 174, 107, 155, 125, 173, 140, 188, 120, 168, 104, 152)(100, 148, 108, 156, 124, 172, 142, 190, 128, 176, 110, 158, 122, 170, 105, 153, 121, 169, 141, 189, 127, 175, 109, 157)(103, 151, 116, 164, 134, 182, 144, 192, 138, 186, 118, 166, 132, 180, 113, 161, 131, 179, 143, 191, 137, 185, 117, 165)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 124)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 127)(17, 108)(18, 134)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 137)(25, 135)(26, 136)(27, 140)(28, 106)(29, 131)(30, 132)(31, 112)(32, 139)(33, 138)(34, 133)(35, 125)(36, 126)(37, 130)(38, 114)(39, 121)(40, 122)(41, 120)(42, 129)(43, 128)(44, 123)(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) :: { ( 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 E21.1256
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2^4, (Y2^-1 * Y3 * Y2^-1)^2, (Y2 * Y1 * Y2)^2, (Y2^-1 * Y1)^4, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 19, 67)(9, 57, 24, 72)(12, 60, 25, 73)(13, 61, 30, 78)(14, 62, 28, 76)(15, 63, 32, 80)(17, 65, 20, 68)(18, 66, 34, 82)(21, 69, 38, 86)(22, 70, 36, 84)(23, 71, 40, 88)(26, 74, 42, 90)(27, 75, 35, 83)(29, 77, 41, 89)(31, 79, 39, 87)(33, 81, 37, 85)(43, 91, 47, 95)(44, 92, 46, 94)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 114, 162, 102, 150, 110, 158, 127, 175, 111, 159, 100, 148, 109, 157, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 122, 170, 106, 154, 118, 166, 135, 183, 119, 167, 104, 152, 117, 165, 121, 169, 105, 153)(107, 155, 123, 171, 112, 160, 129, 177, 126, 174, 140, 188, 128, 176, 141, 189, 124, 172, 139, 187, 130, 178, 125, 173)(115, 163, 131, 179, 120, 168, 137, 185, 134, 182, 143, 191, 136, 184, 144, 192, 132, 180, 142, 190, 138, 186, 133, 181)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 111)(6, 97)(7, 117)(8, 106)(9, 119)(10, 98)(11, 124)(12, 113)(13, 110)(14, 99)(15, 114)(16, 130)(17, 127)(18, 101)(19, 132)(20, 121)(21, 118)(22, 103)(23, 122)(24, 138)(25, 135)(26, 105)(27, 139)(28, 126)(29, 141)(30, 107)(31, 108)(32, 112)(33, 125)(34, 128)(35, 142)(36, 134)(37, 144)(38, 115)(39, 116)(40, 120)(41, 133)(42, 136)(43, 140)(44, 123)(45, 129)(46, 143)(47, 131)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^6, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 14, 62)(6, 54, 8, 56)(7, 55, 17, 65)(9, 57, 20, 68)(12, 60, 25, 73)(13, 61, 22, 70)(15, 63, 29, 77)(16, 64, 19, 67)(18, 66, 33, 81)(21, 69, 37, 85)(23, 71, 31, 79)(24, 72, 36, 84)(26, 74, 40, 88)(27, 75, 35, 83)(28, 76, 32, 80)(30, 78, 42, 90)(34, 82, 44, 92)(38, 86, 46, 94)(39, 87, 45, 93)(41, 89, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 100, 148, 108, 156, 109, 157, 122, 170, 123, 171, 126, 174, 112, 160, 111, 159, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 114, 162, 115, 163, 130, 178, 131, 179, 134, 182, 118, 166, 117, 165, 106, 154, 105, 153)(107, 155, 119, 167, 110, 158, 124, 172, 125, 173, 137, 185, 138, 186, 143, 191, 136, 184, 135, 183, 121, 169, 120, 168)(113, 161, 127, 175, 116, 164, 132, 180, 133, 181, 141, 189, 142, 190, 144, 192, 140, 188, 139, 187, 129, 177, 128, 176)
	L = (1, 100)(2, 104)(3, 108)(4, 109)(5, 99)(6, 97)(7, 114)(8, 115)(9, 103)(10, 98)(11, 110)(12, 122)(13, 123)(14, 125)(15, 101)(16, 102)(17, 116)(18, 130)(19, 131)(20, 133)(21, 105)(22, 106)(23, 124)(24, 119)(25, 107)(26, 126)(27, 112)(28, 137)(29, 138)(30, 111)(31, 132)(32, 127)(33, 113)(34, 134)(35, 118)(36, 141)(37, 142)(38, 117)(39, 120)(40, 121)(41, 143)(42, 136)(43, 128)(44, 129)(45, 144)(46, 140)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y3^2, Y3^6, (Y2^2 * Y1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y3 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 28, 76)(13, 61, 34, 82)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 41, 89)(18, 66, 22, 70)(19, 67, 43, 91)(20, 68, 25, 73)(23, 71, 35, 83)(24, 72, 45, 93)(26, 74, 38, 86)(29, 77, 39, 87)(31, 79, 40, 88)(33, 81, 44, 92)(36, 84, 42, 90)(37, 85, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 131, 179, 111, 159, 134, 182, 144, 192, 141, 189, 116, 164, 135, 183, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 130, 178, 121, 169, 137, 185, 143, 191, 128, 176, 126, 174, 139, 187, 124, 172, 105, 153)(100, 148, 109, 157, 132, 180, 117, 165, 136, 184, 123, 171, 140, 188, 115, 163, 102, 150, 110, 158, 133, 181, 112, 160)(104, 152, 119, 167, 129, 177, 107, 155, 127, 175, 113, 161, 138, 186, 125, 173, 106, 154, 120, 168, 142, 190, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 132)(13, 134)(14, 99)(15, 136)(16, 131)(17, 139)(18, 133)(19, 101)(20, 102)(21, 141)(22, 129)(23, 137)(24, 103)(25, 127)(26, 130)(27, 135)(28, 142)(29, 105)(30, 106)(31, 126)(32, 125)(33, 143)(34, 107)(35, 117)(36, 144)(37, 108)(38, 123)(39, 110)(40, 116)(41, 113)(42, 124)(43, 120)(44, 114)(45, 115)(46, 118)(47, 138)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3^2 * Y2^-4, Y3^6, (Y1 * Y2^2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 14, 62)(9, 57, 16, 64)(12, 60, 24, 72)(13, 61, 28, 76)(15, 63, 26, 74)(18, 66, 21, 69)(19, 67, 35, 83)(20, 68, 23, 71)(22, 70, 33, 81)(25, 73, 29, 77)(27, 75, 31, 79)(30, 78, 41, 89)(32, 80, 43, 91)(34, 82, 40, 88)(36, 84, 38, 86)(37, 85, 47, 95)(39, 87, 46, 94)(42, 90, 44, 92)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 125, 173, 111, 159, 128, 176, 141, 189, 133, 181, 116, 164, 129, 177, 114, 162, 101, 149)(98, 146, 103, 151, 117, 165, 131, 179, 119, 167, 135, 183, 144, 192, 138, 186, 122, 170, 124, 172, 120, 168, 105, 153)(100, 148, 109, 157, 126, 174, 140, 188, 130, 178, 142, 190, 132, 180, 115, 163, 102, 150, 110, 158, 127, 175, 112, 160)(104, 152, 118, 166, 134, 182, 143, 191, 136, 184, 139, 187, 137, 185, 121, 169, 106, 154, 107, 155, 123, 171, 113, 161)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 119)(9, 113)(10, 98)(11, 103)(12, 126)(13, 128)(14, 99)(15, 130)(16, 125)(17, 131)(18, 127)(19, 101)(20, 102)(21, 134)(22, 135)(23, 136)(24, 123)(25, 105)(26, 106)(27, 117)(28, 107)(29, 140)(30, 141)(31, 108)(32, 142)(33, 110)(34, 116)(35, 143)(36, 114)(37, 115)(38, 144)(39, 139)(40, 122)(41, 120)(42, 121)(43, 124)(44, 133)(45, 132)(46, 129)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2 * Y3, (R * Y2)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y3^2 * Y2^-1, (Y3^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^5 * Y3, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y1^-4, Y2^2 * Y1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 15, 63, 33, 81, 46, 94, 43, 91, 25, 73, 39, 87, 22, 70, 5, 53)(3, 51, 13, 61, 28, 76, 11, 59, 37, 85, 21, 69, 36, 84, 10, 58, 7, 55, 26, 74, 31, 79, 16, 64)(4, 52, 18, 66, 29, 77, 12, 60, 40, 88, 20, 68, 34, 82, 9, 57, 6, 54, 23, 71, 30, 78, 19, 67)(14, 62, 32, 80, 45, 93, 42, 90, 24, 72, 38, 86, 48, 96, 41, 89, 17, 65, 35, 83, 47, 95, 44, 92)(97, 145, 99, 147, 110, 158, 136, 184, 121, 169, 103, 151, 113, 161, 100, 148, 111, 159, 133, 181, 120, 168, 102, 150)(98, 146, 105, 153, 128, 176, 112, 160, 135, 183, 108, 156, 131, 179, 106, 154, 129, 177, 115, 163, 134, 182, 107, 155)(101, 149, 116, 164, 140, 188, 122, 170, 139, 187, 114, 162, 137, 185, 117, 165, 123, 171, 119, 167, 138, 186, 109, 157)(104, 152, 124, 172, 141, 189, 130, 178, 118, 166, 127, 175, 143, 191, 125, 173, 142, 190, 132, 180, 144, 192, 126, 174)
	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, 137)(14, 133)(15, 136)(16, 134)(17, 99)(18, 101)(19, 135)(20, 123)(21, 140)(22, 126)(23, 139)(24, 103)(25, 102)(26, 138)(27, 122)(28, 142)(29, 141)(30, 143)(31, 104)(32, 115)(33, 112)(34, 144)(35, 105)(36, 118)(37, 121)(38, 108)(39, 107)(40, 120)(41, 116)(42, 114)(43, 109)(44, 119)(45, 132)(46, 130)(47, 124)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1247
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.1267 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^12 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 80, 32, 91, 43, 90, 42, 79, 31, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 60, 12, 70, 22, 81, 33, 93, 45, 96, 48, 94, 46, 89, 41, 76, 28, 65, 17, 56, 8, 51)(6, 61, 13, 69, 21, 82, 34, 92, 44, 88, 40, 95, 47, 87, 39, 78, 30, 66, 18, 57, 9, 62, 14, 54)(15, 73, 25, 83, 35, 77, 29, 86, 38, 72, 24, 85, 37, 71, 23, 84, 36, 75, 27, 64, 16, 74, 26, 63)
	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, 34)(28, 36)(31, 41)(32, 44)(37, 46)(38, 45)(42, 47)(43, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 63)(56, 64)(58, 65)(59, 69)(61, 71)(62, 72)(66, 77)(67, 78)(68, 81)(70, 83)(73, 87)(74, 88)(75, 82)(76, 84)(79, 89)(80, 92)(85, 94)(86, 93)(90, 95)(91, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1268 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
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, Y2 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^2 * Y3 * Y1^2 * Y2, Y1^-1 * Y3 * Y1^3 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y1^12 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 68, 20, 80, 32, 91, 43, 90, 42, 79, 31, 67, 19, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 73, 25, 87, 39, 94, 46, 96, 48, 93, 45, 81, 33, 70, 22, 60, 12, 56, 8, 51)(6, 61, 13, 57, 9, 66, 18, 77, 29, 89, 41, 95, 47, 88, 40, 92, 44, 82, 34, 69, 21, 62, 14, 54)(16, 74, 26, 65, 17, 76, 28, 83, 35, 78, 30, 85, 37, 71, 23, 84, 36, 72, 24, 86, 38, 75, 27, 64)
	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, 38)(26, 40)(27, 34)(28, 41)(31, 39)(32, 44)(36, 46)(37, 45)(42, 47)(43, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 63)(59, 69)(61, 71)(62, 72)(66, 78)(67, 77)(68, 81)(70, 83)(73, 86)(74, 88)(75, 82)(76, 89)(79, 87)(80, 92)(84, 94)(85, 93)(90, 95)(91, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1269 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
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 * R * Y2, (R * Y1)^2, (Y3 * Y1^-2)^2, Y1^3 * Y2 * Y3 * Y1, Y3 * Y1^2 * Y2 * Y1^-2, (Y3 * Y2)^3, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 61, 13, 73, 25, 86, 38, 79, 31, 58, 10, 70, 22, 65, 17, 53, 5, 49)(3, 57, 9, 75, 27, 95, 47, 78, 30, 87, 39, 68, 20, 62, 14, 52, 4, 60, 12, 67, 19, 59, 11, 51)(7, 69, 21, 63, 15, 84, 36, 90, 42, 96, 48, 85, 37, 74, 26, 56, 8, 72, 24, 64, 16, 71, 23, 55)(28, 94, 46, 80, 32, 89, 41, 82, 34, 92, 44, 83, 35, 88, 40, 77, 29, 91, 43, 81, 33, 93, 45, 76)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 34)(14, 35)(16, 18)(17, 27)(20, 38)(21, 40)(22, 42)(23, 43)(24, 45)(26, 46)(29, 39)(31, 37)(33, 47)(36, 44)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 77)(59, 81)(60, 76)(61, 78)(62, 80)(63, 79)(65, 67)(66, 85)(69, 89)(71, 92)(72, 88)(73, 90)(74, 91)(75, 86)(82, 87)(83, 95)(84, 94)(93, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1270 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y1^2 * Y2)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, (Y3 * Y1^-2)^2, Y1^-1 * Y3 * Y2 * Y1^-5, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 83, 35, 76, 28, 58, 10, 69, 21, 86, 38, 82, 34, 64, 16, 53, 5, 49)(3, 57, 9, 73, 25, 88, 40, 67, 19, 61, 13, 52, 4, 60, 12, 79, 31, 87, 39, 66, 18, 59, 11, 51)(7, 68, 20, 62, 14, 80, 32, 85, 37, 72, 24, 56, 8, 71, 23, 63, 15, 81, 33, 84, 36, 70, 22, 55)(26, 90, 42, 77, 29, 92, 44, 95, 47, 94, 46, 75, 27, 89, 41, 78, 30, 91, 43, 96, 48, 93, 45, 74)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 25)(17, 36)(19, 38)(20, 41)(22, 43)(23, 42)(24, 44)(31, 35)(32, 46)(33, 45)(34, 37)(39, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 75)(59, 78)(60, 74)(61, 77)(62, 76)(64, 79)(65, 85)(66, 86)(68, 90)(70, 92)(71, 89)(72, 91)(73, 83)(80, 93)(81, 94)(82, 84)(87, 96)(88, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1271 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-2 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, Y1^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 86, 38, 94, 46, 93, 45, 84, 36, 72, 24, 60, 12, 53, 5, 49)(3, 57, 9, 52, 4, 59, 11, 70, 22, 83, 35, 92, 44, 96, 48, 87, 39, 76, 28, 63, 15, 58, 10, 51)(7, 64, 16, 56, 8, 66, 18, 61, 13, 73, 25, 85, 37, 91, 43, 95, 47, 88, 40, 75, 27, 65, 17, 55)(19, 81, 33, 68, 20, 82, 34, 69, 21, 80, 32, 89, 41, 77, 29, 90, 42, 78, 30, 71, 23, 79, 31, 67)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 23)(13, 24)(14, 27)(16, 29)(17, 30)(18, 32)(21, 28)(22, 36)(25, 34)(26, 39)(31, 40)(33, 43)(35, 42)(37, 45)(38, 47)(41, 48)(44, 46)(49, 52)(50, 56)(51, 54)(53, 61)(55, 62)(57, 68)(58, 69)(59, 67)(60, 70)(63, 74)(64, 78)(65, 79)(66, 77)(71, 83)(72, 85)(73, 80)(75, 86)(76, 89)(81, 88)(82, 91)(84, 92)(87, 94)(90, 96)(93, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1272 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y3^2 * Y1, Y3 * Y1 * Y3^3 * Y1 * Y3 * Y1 * Y3 * Y1, Y3^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 41, 89, 47, 95, 42, 90, 31, 79, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 35, 83, 45, 93, 48, 96, 46, 94, 38, 86, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 26, 74, 36, 84, 44, 92, 34, 82, 43, 91, 32, 80, 30, 78, 18, 66, 9, 57, 16, 64)(11, 59, 20, 68, 33, 81, 29, 77, 40, 88, 27, 75, 39, 87, 25, 73, 37, 85, 23, 71, 13, 61, 21, 69)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 128)(117, 130)(118, 129)(119, 132)(120, 133)(124, 131)(127, 134)(135, 142)(136, 141)(137, 140)(138, 139)(143, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 156)(154, 158)(159, 169)(160, 171)(161, 170)(162, 173)(163, 174)(164, 176)(165, 178)(166, 177)(167, 180)(168, 181)(172, 179)(175, 182)(183, 190)(184, 189)(185, 188)(186, 187)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1281
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1273 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
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, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y3^2 * Y1)^2, Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^12 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 28, 76, 41, 89, 47, 95, 42, 90, 31, 79, 19, 67, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 22, 70, 35, 83, 45, 93, 48, 96, 46, 94, 38, 86, 24, 72, 14, 62, 6, 54)(7, 55, 15, 63, 9, 57, 18, 66, 30, 78, 36, 84, 44, 92, 32, 80, 43, 91, 33, 81, 27, 75, 16, 64)(11, 59, 20, 68, 13, 61, 23, 71, 37, 85, 29, 77, 40, 88, 25, 73, 39, 87, 26, 74, 34, 82, 21, 69)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 121)(112, 122)(113, 123)(114, 125)(115, 126)(116, 128)(117, 129)(118, 130)(119, 132)(120, 133)(124, 134)(127, 131)(135, 141)(136, 142)(137, 139)(138, 140)(143, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 169)(160, 170)(161, 171)(162, 173)(163, 174)(164, 176)(165, 177)(166, 178)(167, 180)(168, 181)(172, 182)(175, 179)(183, 189)(184, 190)(185, 187)(186, 188)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1282
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1274 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-3, (Y3^-2 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y3^3 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 20, 68, 6, 54, 19, 67, 40, 88, 28, 76, 9, 57, 27, 75, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 11, 59, 3, 51, 10, 58, 30, 78, 38, 86, 18, 66, 37, 85, 26, 74, 8, 56)(12, 60, 32, 80, 15, 63, 35, 83, 13, 61, 34, 82, 16, 64, 36, 84, 39, 87, 48, 96, 41, 89, 33, 81)(21, 69, 42, 90, 24, 72, 45, 93, 22, 70, 44, 92, 25, 73, 46, 94, 29, 77, 47, 95, 31, 79, 43, 91)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 127)(109, 123)(110, 122)(112, 124)(113, 119)(115, 135)(116, 137)(118, 133)(121, 134)(126, 136)(128, 142)(129, 143)(130, 141)(131, 140)(132, 138)(139, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 167)(159, 164)(161, 174)(170, 184)(171, 183)(172, 185)(173, 181)(175, 182)(176, 187)(177, 186)(178, 190)(179, 191)(180, 188)(189, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1283
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1275 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, (Y3^2 * Y2)^2, (Y3^-2 * Y1)^2, Y3^-2 * Y1 * Y3^4 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 36, 84, 18, 66, 6, 54, 17, 65, 35, 83, 34, 82, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 41, 89, 26, 74, 10, 58, 3, 51, 9, 57, 25, 73, 44, 92, 24, 72, 8, 56)(11, 59, 27, 75, 14, 62, 32, 80, 46, 94, 30, 78, 12, 60, 29, 77, 15, 63, 33, 81, 45, 93, 28, 76)(19, 67, 37, 85, 22, 70, 42, 90, 48, 96, 40, 88, 20, 68, 39, 87, 23, 71, 43, 91, 47, 95, 38, 86)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 132)(122, 131)(123, 135)(124, 139)(125, 133)(126, 138)(127, 141)(128, 136)(129, 134)(130, 142)(137, 143)(140, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 170)(158, 162)(160, 169)(165, 180)(168, 179)(171, 181)(172, 186)(173, 183)(174, 187)(175, 190)(176, 182)(177, 184)(178, 189)(185, 192)(188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1284
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1276 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2, (Y1 * Y2)^6 ]
Map::
	R = (1, 49, 4, 52, 9, 57, 20, 68, 33, 81, 44, 92, 46, 94, 39, 87, 26, 74, 15, 63, 6, 54, 5, 53)(2, 50, 7, 55, 14, 62, 27, 75, 38, 86, 47, 95, 43, 91, 34, 82, 19, 67, 10, 58, 3, 51, 8, 56)(11, 59, 22, 70, 13, 61, 25, 73, 28, 76, 41, 89, 48, 96, 42, 90, 35, 83, 24, 72, 12, 60, 23, 71)(16, 64, 29, 77, 18, 66, 32, 80, 21, 69, 36, 84, 45, 93, 37, 85, 40, 88, 31, 79, 17, 65, 30, 78)(97, 98)(99, 105)(100, 107)(101, 109)(102, 110)(103, 112)(104, 114)(106, 117)(108, 116)(111, 124)(113, 123)(115, 129)(118, 133)(119, 127)(120, 126)(121, 132)(122, 134)(125, 138)(128, 137)(130, 141)(131, 140)(135, 144)(136, 143)(139, 142)(145, 147)(146, 150)(148, 156)(149, 155)(151, 161)(152, 160)(153, 163)(154, 162)(157, 159)(158, 170)(164, 179)(165, 178)(166, 180)(167, 181)(168, 175)(169, 176)(171, 184)(172, 183)(173, 185)(174, 186)(177, 187)(182, 190)(188, 192)(189, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1285
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1277 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), Y2^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2^-5 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 11, 59)(5, 53, 16, 64)(6, 54, 19, 67)(7, 55, 22, 70)(8, 56, 23, 71)(10, 58, 28, 76)(12, 60, 31, 79)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(17, 65, 29, 77)(18, 66, 30, 78)(20, 68, 37, 85)(21, 69, 38, 86)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(35, 83, 46, 94)(36, 84, 45, 93)(39, 87, 47, 95)(40, 88, 48, 96)(97, 98, 103, 116, 114, 102, 106, 99, 104, 117, 113, 101)(100, 108, 125, 136, 119, 111, 124, 109, 126, 135, 118, 110)(105, 120, 112, 131, 134, 123, 107, 121, 115, 132, 133, 122)(127, 138, 129, 140, 143, 142, 128, 137, 130, 139, 144, 141)(145, 147, 151, 165, 162, 149, 154, 146, 152, 164, 161, 150)(148, 157, 173, 183, 167, 158, 172, 156, 174, 184, 166, 159)(153, 169, 160, 180, 182, 170, 155, 168, 163, 179, 181, 171)(175, 185, 177, 187, 191, 189, 176, 186, 178, 188, 192, 190)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1286
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1278 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
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 * Y2 * R * Y1, Y2^-1 * Y1^-2 * Y2^-1, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y3, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^5 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^3 * Y3 * Y2^2 ]
Map:: polytopal 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, 20, 68)(8, 56, 23, 71)(10, 58, 25, 73)(11, 59, 28, 76)(12, 60, 30, 78)(14, 62, 32, 80)(17, 65, 34, 82)(18, 66, 33, 81)(19, 67, 36, 84)(21, 69, 37, 85)(22, 70, 39, 87)(24, 72, 41, 89)(26, 74, 42, 90)(27, 75, 43, 91)(29, 77, 44, 92)(31, 79, 45, 93)(35, 83, 46, 94)(38, 86, 47, 95)(40, 88, 48, 96)(97, 98, 103, 115, 131, 123, 134, 125, 136, 127, 108, 101)(99, 107, 102, 114, 117, 113, 120, 104, 118, 106, 122, 110)(100, 109, 126, 138, 144, 135, 143, 137, 142, 133, 116, 111)(105, 119, 112, 130, 141, 129, 140, 124, 139, 128, 132, 121)(145, 147, 156, 170, 184, 166, 182, 168, 179, 165, 151, 150)(146, 152, 149, 161, 175, 162, 173, 155, 171, 158, 163, 154)(148, 153, 164, 180, 190, 187, 191, 188, 192, 189, 174, 160)(157, 172, 159, 177, 181, 178, 185, 167, 183, 169, 186, 176)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1287
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1279 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = C2 x ((C3 x Q8) : C2) (small group id <96, 148>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 28, 76)(20, 68, 33, 81)(22, 70, 35, 83)(25, 73, 40, 88)(27, 75, 38, 86)(29, 77, 42, 90)(30, 78, 34, 82)(31, 79, 41, 89)(32, 80, 44, 92)(36, 84, 46, 94)(37, 85, 45, 93)(39, 87, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 128, 139, 135, 121, 111, 103, 99)(100, 105, 112, 123, 136, 142, 144, 141, 129, 118, 108, 106)(102, 109, 104, 113, 122, 137, 143, 138, 140, 130, 117, 110)(114, 125, 115, 127, 131, 124, 133, 119, 132, 120, 134, 126)(145, 147, 151, 159, 169, 183, 187, 176, 164, 155, 149, 146)(148, 154, 156, 166, 177, 189, 192, 190, 184, 171, 160, 153)(150, 158, 165, 178, 188, 186, 191, 185, 170, 161, 152, 157)(162, 174, 182, 168, 180, 167, 181, 172, 179, 175, 163, 173)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1288
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1280 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
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, Y3^2, Y2 * Y1^2 * Y2, R * Y1 * R * Y2, (Y1 * Y2)^2, (R * Y3)^2, Y2^5 * Y1^-1, (Y3 * Y1^-2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^-2 * Y2 * Y1^-3, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 109, 99, 104, 102, 106, 118, 107, 101)(100, 110, 125, 134, 124, 111, 119, 113, 128, 135, 117, 112)(105, 120, 114, 127, 136, 121, 115, 123, 108, 126, 133, 122)(129, 140, 131, 138, 144, 142, 132, 137, 130, 139, 143, 141)(145, 147, 155, 164, 154, 146, 152, 149, 157, 166, 151, 150)(148, 159, 165, 182, 176, 158, 167, 160, 172, 183, 173, 161)(153, 169, 181, 175, 156, 168, 163, 170, 184, 174, 162, 171)(177, 190, 191, 186, 178, 188, 180, 189, 192, 187, 179, 185)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1289
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1281 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^-2 * Y1 * Y3^2 * Y1, Y3 * Y1 * Y3^3 * Y1 * Y3 * Y1 * Y3 * Y1, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 28, 76, 124, 172, 41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 31, 79, 127, 175, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 35, 83, 131, 179, 45, 93, 141, 189, 48, 96, 144, 192, 46, 94, 142, 190, 38, 86, 134, 182, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 26, 74, 122, 170, 36, 84, 132, 180, 44, 92, 140, 188, 34, 82, 130, 178, 43, 91, 139, 187, 32, 80, 128, 176, 30, 78, 126, 174, 18, 66, 114, 162, 9, 57, 105, 153, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 33, 81, 129, 177, 29, 77, 125, 173, 40, 88, 136, 184, 27, 75, 123, 171, 39, 87, 135, 183, 25, 73, 121, 169, 37, 85, 133, 181, 23, 71, 119, 167, 13, 61, 109, 157, 21, 69, 117, 165)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 73)(16, 75)(17, 74)(18, 77)(19, 78)(20, 80)(21, 82)(22, 81)(23, 84)(24, 85)(25, 63)(26, 65)(27, 64)(28, 83)(29, 66)(30, 67)(31, 86)(32, 68)(33, 70)(34, 69)(35, 76)(36, 71)(37, 72)(38, 79)(39, 94)(40, 93)(41, 92)(42, 91)(43, 90)(44, 89)(45, 88)(46, 87)(47, 96)(48, 95)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 156)(105, 148)(106, 158)(107, 149)(108, 152)(109, 150)(110, 154)(111, 169)(112, 171)(113, 170)(114, 173)(115, 174)(116, 176)(117, 178)(118, 177)(119, 180)(120, 181)(121, 159)(122, 161)(123, 160)(124, 179)(125, 162)(126, 163)(127, 182)(128, 164)(129, 166)(130, 165)(131, 172)(132, 167)(133, 168)(134, 175)(135, 190)(136, 189)(137, 188)(138, 187)(139, 186)(140, 185)(141, 184)(142, 183)(143, 192)(144, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1272
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1282 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
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, Y2^2, R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, (Y3^2 * Y1)^2, Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3 * Y1, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 28, 76, 124, 172, 41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 31, 79, 127, 175, 19, 67, 115, 163, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 22, 70, 118, 166, 35, 83, 131, 179, 45, 93, 141, 189, 48, 96, 144, 192, 46, 94, 142, 190, 38, 86, 134, 182, 24, 72, 120, 168, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 9, 57, 105, 153, 18, 66, 114, 162, 30, 78, 126, 174, 36, 84, 132, 180, 44, 92, 140, 188, 32, 80, 128, 176, 43, 91, 139, 187, 33, 81, 129, 177, 27, 75, 123, 171, 16, 64, 112, 160)(11, 59, 107, 155, 20, 68, 116, 164, 13, 61, 109, 157, 23, 71, 119, 167, 37, 85, 133, 181, 29, 77, 125, 173, 40, 88, 136, 184, 25, 73, 121, 169, 39, 87, 135, 183, 26, 74, 122, 170, 34, 82, 130, 178, 21, 69, 117, 165)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 52)(10, 60)(11, 53)(12, 58)(13, 54)(14, 56)(15, 73)(16, 74)(17, 75)(18, 77)(19, 78)(20, 80)(21, 81)(22, 82)(23, 84)(24, 85)(25, 63)(26, 64)(27, 65)(28, 86)(29, 66)(30, 67)(31, 83)(32, 68)(33, 69)(34, 70)(35, 79)(36, 71)(37, 72)(38, 76)(39, 93)(40, 94)(41, 91)(42, 92)(43, 89)(44, 90)(45, 87)(46, 88)(47, 96)(48, 95)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 158)(105, 148)(106, 156)(107, 149)(108, 154)(109, 150)(110, 152)(111, 169)(112, 170)(113, 171)(114, 173)(115, 174)(116, 176)(117, 177)(118, 178)(119, 180)(120, 181)(121, 159)(122, 160)(123, 161)(124, 182)(125, 162)(126, 163)(127, 179)(128, 164)(129, 165)(130, 166)(131, 175)(132, 167)(133, 168)(134, 172)(135, 189)(136, 190)(137, 187)(138, 188)(139, 185)(140, 186)(141, 183)(142, 184)(143, 192)(144, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1273
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1283 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-3, (Y3^-2 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y3^3 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 28, 76, 124, 172, 9, 57, 105, 153, 27, 75, 123, 171, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 38, 86, 134, 182, 18, 66, 114, 162, 37, 85, 133, 181, 26, 74, 122, 170, 8, 56, 104, 152)(12, 60, 108, 156, 32, 80, 128, 176, 15, 63, 111, 159, 35, 83, 131, 179, 13, 61, 109, 157, 34, 82, 130, 178, 16, 64, 112, 160, 36, 84, 132, 180, 39, 87, 135, 183, 48, 96, 144, 192, 41, 89, 137, 185, 33, 81, 129, 177)(21, 69, 117, 165, 42, 90, 138, 186, 24, 72, 120, 168, 45, 93, 141, 189, 22, 70, 118, 166, 44, 92, 140, 188, 25, 73, 121, 169, 46, 94, 142, 190, 29, 77, 125, 173, 47, 95, 143, 191, 31, 79, 127, 175, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 79)(12, 52)(13, 75)(14, 74)(15, 53)(16, 76)(17, 71)(18, 54)(19, 87)(20, 89)(21, 55)(22, 85)(23, 65)(24, 56)(25, 86)(26, 62)(27, 61)(28, 64)(29, 58)(30, 88)(31, 59)(32, 94)(33, 95)(34, 93)(35, 92)(36, 90)(37, 70)(38, 73)(39, 67)(40, 78)(41, 68)(42, 84)(43, 96)(44, 83)(45, 82)(46, 80)(47, 81)(48, 91)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 167)(111, 164)(112, 149)(113, 174)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 158)(120, 155)(121, 152)(122, 184)(123, 183)(124, 185)(125, 181)(126, 161)(127, 182)(128, 187)(129, 186)(130, 190)(131, 191)(132, 188)(133, 173)(134, 175)(135, 171)(136, 170)(137, 172)(138, 177)(139, 176)(140, 180)(141, 192)(142, 178)(143, 179)(144, 189)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1274
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1284 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, (Y3^2 * Y2)^2, (Y3^-2 * Y1)^2, Y3^-2 * Y1 * Y3^4 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 36, 84, 132, 180, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 34, 82, 130, 178, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 41, 89, 137, 185, 26, 74, 122, 170, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 44, 92, 140, 188, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 32, 80, 128, 176, 46, 94, 142, 190, 30, 78, 126, 174, 12, 60, 108, 156, 29, 77, 125, 173, 15, 63, 111, 159, 33, 81, 129, 177, 45, 93, 141, 189, 28, 76, 124, 172)(19, 67, 115, 163, 37, 85, 133, 181, 22, 70, 118, 166, 42, 90, 138, 186, 48, 96, 144, 192, 40, 88, 136, 184, 20, 68, 116, 164, 39, 87, 135, 183, 23, 71, 119, 167, 43, 91, 139, 187, 47, 95, 143, 191, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 84)(26, 83)(27, 87)(28, 91)(29, 85)(30, 90)(31, 93)(32, 88)(33, 86)(34, 94)(35, 74)(36, 73)(37, 77)(38, 81)(39, 75)(40, 80)(41, 95)(42, 78)(43, 76)(44, 96)(45, 79)(46, 82)(47, 89)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 170)(110, 162)(111, 149)(112, 169)(113, 155)(114, 158)(115, 153)(116, 151)(117, 180)(118, 154)(119, 152)(120, 179)(121, 160)(122, 157)(123, 181)(124, 186)(125, 183)(126, 187)(127, 190)(128, 182)(129, 184)(130, 189)(131, 168)(132, 165)(133, 171)(134, 176)(135, 173)(136, 177)(137, 192)(138, 172)(139, 174)(140, 191)(141, 178)(142, 175)(143, 188)(144, 185)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1275
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1285 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2, (Y1 * Y2)^6 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 20, 68, 116, 164, 33, 81, 129, 177, 44, 92, 140, 188, 46, 94, 142, 190, 39, 87, 135, 183, 26, 74, 122, 170, 15, 63, 111, 159, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 14, 62, 110, 158, 27, 75, 123, 171, 38, 86, 134, 182, 47, 95, 143, 191, 43, 91, 139, 187, 34, 82, 130, 178, 19, 67, 115, 163, 10, 58, 106, 154, 3, 51, 99, 147, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 13, 61, 109, 157, 25, 73, 121, 169, 28, 76, 124, 172, 41, 89, 137, 185, 48, 96, 144, 192, 42, 90, 138, 186, 35, 83, 131, 179, 24, 72, 120, 168, 12, 60, 108, 156, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 18, 66, 114, 162, 32, 80, 128, 176, 21, 69, 117, 165, 36, 84, 132, 180, 45, 93, 141, 189, 37, 85, 133, 181, 40, 88, 136, 184, 31, 79, 127, 175, 17, 65, 113, 161, 30, 78, 126, 174)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 61)(6, 62)(7, 64)(8, 66)(9, 51)(10, 69)(11, 52)(12, 68)(13, 53)(14, 54)(15, 76)(16, 55)(17, 75)(18, 56)(19, 81)(20, 60)(21, 58)(22, 85)(23, 79)(24, 78)(25, 84)(26, 86)(27, 65)(28, 63)(29, 90)(30, 72)(31, 71)(32, 89)(33, 67)(34, 93)(35, 92)(36, 73)(37, 70)(38, 74)(39, 96)(40, 95)(41, 80)(42, 77)(43, 94)(44, 83)(45, 82)(46, 91)(47, 88)(48, 87)(97, 147)(98, 150)(99, 145)(100, 156)(101, 155)(102, 146)(103, 161)(104, 160)(105, 163)(106, 162)(107, 149)(108, 148)(109, 159)(110, 170)(111, 157)(112, 152)(113, 151)(114, 154)(115, 153)(116, 179)(117, 178)(118, 180)(119, 181)(120, 175)(121, 176)(122, 158)(123, 184)(124, 183)(125, 185)(126, 186)(127, 168)(128, 169)(129, 187)(130, 165)(131, 164)(132, 166)(133, 167)(134, 190)(135, 172)(136, 171)(137, 173)(138, 174)(139, 177)(140, 192)(141, 191)(142, 182)(143, 189)(144, 188)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1276
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1286 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = QD16 x S3 (small group id <96, 120>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1^-1), Y2^2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y2^-5 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^12 ]
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, 11, 59, 107, 155)(5, 53, 101, 149, 16, 64, 112, 160)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 22, 70, 118, 166)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(12, 60, 108, 156, 31, 79, 127, 175)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(17, 65, 113, 161, 29, 77, 125, 173)(18, 66, 114, 162, 30, 78, 126, 174)(20, 68, 116, 164, 37, 85, 133, 181)(21, 69, 117, 165, 38, 86, 134, 182)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(35, 83, 131, 179, 46, 94, 142, 190)(36, 84, 132, 180, 45, 93, 141, 189)(39, 87, 135, 183, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 60)(5, 49)(6, 58)(7, 68)(8, 69)(9, 72)(10, 51)(11, 73)(12, 77)(13, 78)(14, 52)(15, 76)(16, 83)(17, 53)(18, 54)(19, 84)(20, 66)(21, 65)(22, 62)(23, 63)(24, 64)(25, 67)(26, 57)(27, 59)(28, 61)(29, 88)(30, 87)(31, 90)(32, 89)(33, 92)(34, 91)(35, 86)(36, 85)(37, 74)(38, 75)(39, 70)(40, 71)(41, 82)(42, 81)(43, 96)(44, 95)(45, 79)(46, 80)(47, 94)(48, 93)(97, 147)(98, 152)(99, 151)(100, 157)(101, 154)(102, 145)(103, 165)(104, 164)(105, 169)(106, 146)(107, 168)(108, 174)(109, 173)(110, 172)(111, 148)(112, 180)(113, 150)(114, 149)(115, 179)(116, 161)(117, 162)(118, 159)(119, 158)(120, 163)(121, 160)(122, 155)(123, 153)(124, 156)(125, 183)(126, 184)(127, 185)(128, 186)(129, 187)(130, 188)(131, 181)(132, 182)(133, 171)(134, 170)(135, 167)(136, 166)(137, 177)(138, 178)(139, 191)(140, 192)(141, 176)(142, 175)(143, 189)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1277
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1287 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
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 * Y2 * R * Y1, Y2^-1 * Y1^-2 * Y2^-1, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y3, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^5 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^3 * Y3 * Y2^2 ]
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, 20, 68, 116, 164)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 25, 73, 121, 169)(11, 59, 107, 155, 28, 76, 124, 172)(12, 60, 108, 156, 30, 78, 126, 174)(14, 62, 110, 158, 32, 80, 128, 176)(17, 65, 113, 161, 34, 82, 130, 178)(18, 66, 114, 162, 33, 81, 129, 177)(19, 67, 115, 163, 36, 84, 132, 180)(21, 69, 117, 165, 37, 85, 133, 181)(22, 70, 118, 166, 39, 87, 135, 183)(24, 72, 120, 168, 41, 89, 137, 185)(26, 74, 122, 170, 42, 90, 138, 186)(27, 75, 123, 171, 43, 91, 139, 187)(29, 77, 125, 173, 44, 92, 140, 188)(31, 79, 127, 175, 45, 93, 141, 189)(35, 83, 131, 179, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 59)(4, 61)(5, 49)(6, 66)(7, 67)(8, 70)(9, 71)(10, 74)(11, 54)(12, 53)(13, 78)(14, 51)(15, 52)(16, 82)(17, 72)(18, 69)(19, 83)(20, 63)(21, 65)(22, 58)(23, 64)(24, 56)(25, 57)(26, 62)(27, 86)(28, 91)(29, 88)(30, 90)(31, 60)(32, 84)(33, 92)(34, 93)(35, 75)(36, 73)(37, 68)(38, 77)(39, 95)(40, 79)(41, 94)(42, 96)(43, 80)(44, 76)(45, 81)(46, 85)(47, 89)(48, 87)(97, 147)(98, 152)(99, 156)(100, 153)(101, 161)(102, 145)(103, 150)(104, 149)(105, 164)(106, 146)(107, 171)(108, 170)(109, 172)(110, 163)(111, 177)(112, 148)(113, 175)(114, 173)(115, 154)(116, 180)(117, 151)(118, 182)(119, 183)(120, 179)(121, 186)(122, 184)(123, 158)(124, 159)(125, 155)(126, 160)(127, 162)(128, 157)(129, 181)(130, 185)(131, 165)(132, 190)(133, 178)(134, 168)(135, 169)(136, 166)(137, 167)(138, 176)(139, 191)(140, 192)(141, 174)(142, 187)(143, 188)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1278
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1288 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = C2 x ((C3 x Q8) : C2) (small group id <96, 148>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 28, 76, 124, 172)(20, 68, 116, 164, 33, 81, 129, 177)(22, 70, 118, 166, 35, 83, 131, 179)(25, 73, 121, 169, 40, 88, 136, 184)(27, 75, 123, 171, 38, 86, 134, 182)(29, 77, 125, 173, 42, 90, 138, 186)(30, 78, 126, 174, 34, 82, 130, 178)(31, 79, 127, 175, 41, 89, 137, 185)(32, 80, 128, 176, 44, 92, 140, 188)(36, 84, 132, 180, 46, 94, 142, 190)(37, 85, 133, 181, 45, 93, 141, 189)(39, 87, 135, 183, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 64)(10, 52)(11, 68)(12, 58)(13, 56)(14, 54)(15, 55)(16, 75)(17, 74)(18, 77)(19, 79)(20, 80)(21, 62)(22, 60)(23, 84)(24, 86)(25, 63)(26, 89)(27, 88)(28, 85)(29, 67)(30, 66)(31, 83)(32, 91)(33, 70)(34, 69)(35, 76)(36, 72)(37, 71)(38, 78)(39, 73)(40, 94)(41, 95)(42, 92)(43, 87)(44, 82)(45, 81)(46, 96)(47, 90)(48, 93)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 157)(105, 148)(106, 156)(107, 149)(108, 166)(109, 150)(110, 165)(111, 169)(112, 153)(113, 152)(114, 174)(115, 173)(116, 155)(117, 178)(118, 177)(119, 181)(120, 180)(121, 183)(122, 161)(123, 160)(124, 179)(125, 162)(126, 182)(127, 163)(128, 164)(129, 189)(130, 188)(131, 175)(132, 167)(133, 172)(134, 168)(135, 187)(136, 171)(137, 170)(138, 191)(139, 176)(140, 186)(141, 192)(142, 184)(143, 185)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1279
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1289 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
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, Y3^2, Y2 * Y1^2 * Y2, R * Y1 * R * Y2, (Y1 * Y2)^2, (R * Y3)^2, Y2^5 * Y1^-1, (Y3 * Y1^-2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^-2 * Y2 * Y1^-3, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 77)(15, 71)(16, 52)(17, 80)(18, 79)(19, 75)(20, 61)(21, 64)(22, 59)(23, 65)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 86)(30, 85)(31, 88)(32, 87)(33, 92)(34, 91)(35, 90)(36, 89)(37, 74)(38, 76)(39, 69)(40, 73)(41, 82)(42, 96)(43, 95)(44, 83)(45, 81)(46, 84)(47, 93)(48, 94)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 164)(108, 168)(109, 166)(110, 167)(111, 165)(112, 172)(113, 148)(114, 171)(115, 170)(116, 154)(117, 182)(118, 151)(119, 160)(120, 163)(121, 181)(122, 184)(123, 153)(124, 183)(125, 161)(126, 162)(127, 156)(128, 158)(129, 190)(130, 188)(131, 185)(132, 189)(133, 175)(134, 176)(135, 173)(136, 174)(137, 177)(138, 178)(139, 179)(140, 180)(141, 192)(142, 191)(143, 186)(144, 187)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1280
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ 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 * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 25, 73)(16, 64, 27, 75)(17, 65, 26, 74)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 32, 80)(21, 69, 34, 82)(22, 70, 33, 81)(23, 71, 36, 84)(24, 72, 37, 85)(28, 76, 35, 83)(31, 79, 38, 86)(39, 87, 46, 94)(40, 88, 45, 93)(41, 89, 44, 92)(42, 90, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 137, 185, 143, 191, 138, 186, 127, 175, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 131, 179, 141, 189, 144, 192, 142, 190, 134, 182, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 122, 170, 132, 180, 140, 188, 130, 178, 139, 187, 128, 176, 126, 174, 114, 162, 105, 153, 112, 160)(107, 155, 116, 164, 129, 177, 125, 173, 136, 184, 123, 171, 135, 183, 121, 169, 133, 181, 119, 167, 109, 157, 117, 165)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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, 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 * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y1 * Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	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, 32, 80)(21, 69, 33, 81)(22, 70, 34, 82)(23, 71, 36, 84)(24, 72, 37, 85)(28, 76, 38, 86)(31, 79, 35, 83)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 43, 91)(42, 90, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 124, 172, 137, 185, 143, 191, 138, 186, 127, 175, 115, 163, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 118, 166, 131, 179, 141, 189, 144, 192, 142, 190, 134, 182, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 126, 174, 132, 180, 140, 188, 128, 176, 139, 187, 129, 177, 123, 171, 112, 160)(107, 155, 116, 164, 109, 157, 119, 167, 133, 181, 125, 173, 136, 184, 121, 169, 135, 183, 122, 170, 130, 178, 117, 165)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y3 * Y2^2 * Y3 * Y2^-2, Y1 * Y2^-2 * Y1 * Y2^2, Y2^6 * Y3, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 20, 68)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 39, 87)(23, 71, 43, 91)(24, 72, 40, 88)(25, 73, 34, 82)(27, 75, 36, 84)(28, 76, 45, 93)(29, 77, 46, 94)(30, 78, 41, 89)(32, 80, 42, 90)(33, 81, 47, 95)(37, 85, 44, 92)(38, 86, 48, 96)(97, 145, 99, 147, 106, 154, 120, 168, 123, 171, 108, 156, 100, 148, 107, 155, 121, 169, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 132, 180, 114, 162, 103, 151, 113, 161, 130, 178, 134, 182, 116, 164, 104, 152)(105, 153, 117, 165, 136, 184, 140, 188, 122, 170, 138, 186, 118, 166, 137, 185, 142, 190, 124, 172, 109, 157, 119, 167)(111, 159, 126, 174, 143, 191, 141, 189, 131, 179, 139, 187, 127, 175, 135, 183, 144, 192, 133, 181, 115, 163, 128, 176)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 137)(22, 105)(23, 138)(24, 125)(25, 106)(26, 109)(27, 110)(28, 140)(29, 120)(30, 135)(31, 111)(32, 139)(33, 134)(34, 112)(35, 115)(36, 116)(37, 141)(38, 129)(39, 126)(40, 142)(41, 117)(42, 119)(43, 128)(44, 124)(45, 133)(46, 136)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6 * Y3, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 16, 64)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 39, 87)(23, 71, 42, 90)(24, 72, 43, 91)(25, 73, 36, 84)(27, 75, 34, 82)(28, 76, 45, 93)(29, 77, 46, 94)(30, 78, 40, 88)(32, 80, 44, 92)(33, 81, 47, 95)(37, 85, 41, 89)(38, 86, 48, 96)(97, 145, 99, 147, 106, 154, 120, 168, 123, 171, 108, 156, 100, 148, 107, 155, 121, 169, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 132, 180, 114, 162, 103, 151, 113, 161, 130, 178, 134, 182, 116, 164, 104, 152)(105, 153, 117, 165, 109, 157, 124, 172, 142, 190, 137, 185, 118, 166, 136, 184, 122, 170, 140, 188, 139, 187, 119, 167)(111, 159, 126, 174, 115, 163, 133, 181, 144, 192, 141, 189, 127, 175, 135, 183, 131, 179, 138, 186, 143, 191, 128, 176)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 136)(22, 105)(23, 137)(24, 125)(25, 106)(26, 109)(27, 110)(28, 140)(29, 120)(30, 135)(31, 111)(32, 141)(33, 134)(34, 112)(35, 115)(36, 116)(37, 138)(38, 129)(39, 126)(40, 117)(41, 119)(42, 133)(43, 142)(44, 124)(45, 128)(46, 139)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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, Y3^3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y2^4 * Y3, (Y2^-1 * Y3 * Y2^-1)^2, (Y2 * Y1 * Y2)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 19, 67)(9, 57, 24, 72)(12, 60, 25, 73)(13, 61, 30, 78)(14, 62, 28, 76)(15, 63, 32, 80)(17, 65, 20, 68)(18, 66, 34, 82)(21, 69, 38, 86)(22, 70, 36, 84)(23, 71, 40, 88)(26, 74, 42, 90)(27, 75, 43, 91)(29, 77, 47, 95)(31, 79, 39, 87)(33, 81, 48, 96)(35, 83, 46, 94)(37, 85, 44, 92)(41, 89, 45, 93)(97, 145, 99, 147, 108, 156, 114, 162, 102, 150, 110, 158, 127, 175, 111, 159, 100, 148, 109, 157, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 122, 170, 106, 154, 118, 166, 135, 183, 119, 167, 104, 152, 117, 165, 121, 169, 105, 153)(107, 155, 123, 171, 112, 160, 129, 177, 126, 174, 141, 189, 128, 176, 142, 190, 124, 172, 140, 188, 130, 178, 125, 173)(115, 163, 131, 179, 120, 168, 137, 185, 134, 182, 144, 192, 136, 184, 139, 187, 132, 180, 143, 191, 138, 186, 133, 181)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 111)(6, 97)(7, 117)(8, 106)(9, 119)(10, 98)(11, 124)(12, 113)(13, 110)(14, 99)(15, 114)(16, 130)(17, 127)(18, 101)(19, 132)(20, 121)(21, 118)(22, 103)(23, 122)(24, 138)(25, 135)(26, 105)(27, 140)(28, 126)(29, 142)(30, 107)(31, 108)(32, 112)(33, 125)(34, 128)(35, 143)(36, 134)(37, 139)(38, 115)(39, 116)(40, 120)(41, 133)(42, 136)(43, 137)(44, 141)(45, 123)(46, 129)(47, 144)(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, 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 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^-1 * Y2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^6, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, (Y2 * Y1 * Y2 * Y3)^2, Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 14, 62)(6, 54, 8, 56)(7, 55, 17, 65)(9, 57, 20, 68)(12, 60, 25, 73)(13, 61, 22, 70)(15, 63, 29, 77)(16, 64, 19, 67)(18, 66, 33, 81)(21, 69, 37, 85)(23, 71, 39, 87)(24, 72, 40, 88)(26, 74, 42, 90)(27, 75, 35, 83)(28, 76, 43, 91)(30, 78, 45, 93)(31, 79, 46, 94)(32, 80, 41, 89)(34, 82, 47, 95)(36, 84, 44, 92)(38, 86, 48, 96)(97, 145, 99, 147, 100, 148, 108, 156, 109, 157, 122, 170, 123, 171, 126, 174, 112, 160, 111, 159, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 114, 162, 115, 163, 130, 178, 131, 179, 134, 182, 118, 166, 117, 165, 106, 154, 105, 153)(107, 155, 119, 167, 110, 158, 124, 172, 125, 173, 140, 188, 141, 189, 142, 190, 138, 186, 137, 185, 121, 169, 120, 168)(113, 161, 127, 175, 116, 164, 132, 180, 133, 181, 139, 187, 144, 192, 135, 183, 143, 191, 136, 184, 129, 177, 128, 176)
	L = (1, 100)(2, 104)(3, 108)(4, 109)(5, 99)(6, 97)(7, 114)(8, 115)(9, 103)(10, 98)(11, 110)(12, 122)(13, 123)(14, 125)(15, 101)(16, 102)(17, 116)(18, 130)(19, 131)(20, 133)(21, 105)(22, 106)(23, 124)(24, 119)(25, 107)(26, 126)(27, 112)(28, 140)(29, 141)(30, 111)(31, 132)(32, 127)(33, 113)(34, 134)(35, 118)(36, 139)(37, 144)(38, 117)(39, 136)(40, 128)(41, 120)(42, 121)(43, 135)(44, 142)(45, 138)(46, 137)(47, 129)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1296 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = C6 x ((C4 x C2) : C2) (small group id <96, 162>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 28, 76)(20, 68, 30, 78)(22, 70, 32, 80)(25, 73, 34, 82)(27, 75, 36, 84)(29, 77, 38, 86)(31, 79, 40, 88)(33, 81, 41, 89)(35, 83, 43, 91)(37, 85, 44, 92)(39, 87, 46, 94)(42, 90, 47, 95)(45, 93, 48, 96)(97, 98, 101, 107, 116, 125, 133, 129, 121, 111, 103, 99)(100, 105, 108, 118, 126, 135, 140, 138, 130, 123, 112, 106)(102, 109, 117, 127, 134, 141, 137, 131, 122, 113, 104, 110)(114, 119, 128, 136, 142, 144, 143, 139, 132, 124, 115, 120)(145, 147, 151, 159, 169, 177, 181, 173, 164, 155, 149, 146)(148, 154, 160, 171, 178, 186, 188, 183, 174, 166, 156, 153)(150, 158, 152, 161, 170, 179, 185, 189, 182, 175, 165, 157)(162, 168, 163, 172, 180, 187, 191, 192, 190, 184, 176, 167)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1298
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1297 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = C3 x ((C2 x C2 x C2 x C2) : C2) (small group id <96, 167>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1^-5, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 109, 99, 104, 102, 106, 118, 107, 101)(100, 110, 117, 134, 128, 111, 119, 113, 124, 135, 125, 112)(105, 120, 133, 127, 108, 121, 115, 123, 136, 126, 114, 122)(129, 137, 143, 142, 130, 138, 132, 140, 144, 141, 131, 139)(145, 147, 155, 164, 154, 146, 152, 149, 157, 166, 151, 150)(148, 159, 173, 182, 172, 158, 167, 160, 176, 183, 165, 161)(153, 169, 162, 175, 184, 168, 163, 170, 156, 174, 181, 171)(177, 186, 179, 190, 192, 185, 180, 187, 178, 189, 191, 188)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1299
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1298 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = C6 x ((C4 x C2) : C2) (small group id <96, 162>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 28, 76, 124, 172)(20, 68, 116, 164, 30, 78, 126, 174)(22, 70, 118, 166, 32, 80, 128, 176)(25, 73, 121, 169, 34, 82, 130, 178)(27, 75, 123, 171, 36, 84, 132, 180)(29, 77, 125, 173, 38, 86, 134, 182)(31, 79, 127, 175, 40, 88, 136, 184)(33, 81, 129, 177, 41, 89, 137, 185)(35, 83, 131, 179, 43, 91, 139, 187)(37, 85, 133, 181, 44, 92, 140, 188)(39, 87, 135, 183, 46, 94, 142, 190)(42, 90, 138, 186, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 60)(10, 52)(11, 68)(12, 70)(13, 69)(14, 54)(15, 55)(16, 58)(17, 56)(18, 71)(19, 72)(20, 77)(21, 79)(22, 78)(23, 80)(24, 66)(25, 63)(26, 65)(27, 64)(28, 67)(29, 85)(30, 87)(31, 86)(32, 88)(33, 73)(34, 75)(35, 74)(36, 76)(37, 81)(38, 93)(39, 92)(40, 94)(41, 83)(42, 82)(43, 84)(44, 90)(45, 89)(46, 96)(47, 91)(48, 95)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 161)(105, 148)(106, 160)(107, 149)(108, 153)(109, 150)(110, 152)(111, 169)(112, 171)(113, 170)(114, 168)(115, 172)(116, 155)(117, 157)(118, 156)(119, 162)(120, 163)(121, 177)(122, 179)(123, 178)(124, 180)(125, 164)(126, 166)(127, 165)(128, 167)(129, 181)(130, 186)(131, 185)(132, 187)(133, 173)(134, 175)(135, 174)(136, 176)(137, 189)(138, 188)(139, 191)(140, 183)(141, 182)(142, 184)(143, 192)(144, 190)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1296
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1299 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = C3 x ((C2 x C2 x C2 x C2) : C2) (small group id <96, 167>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2, Y1), R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1^-5, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^12 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 73)(13, 51)(14, 69)(15, 71)(16, 52)(17, 76)(18, 74)(19, 75)(20, 61)(21, 86)(22, 59)(23, 65)(24, 85)(25, 67)(26, 57)(27, 88)(28, 87)(29, 64)(30, 66)(31, 60)(32, 63)(33, 89)(34, 90)(35, 91)(36, 92)(37, 79)(38, 80)(39, 77)(40, 78)(41, 95)(42, 84)(43, 81)(44, 96)(45, 83)(46, 82)(47, 94)(48, 93)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 164)(108, 174)(109, 166)(110, 167)(111, 173)(112, 176)(113, 148)(114, 175)(115, 170)(116, 154)(117, 161)(118, 151)(119, 160)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 182)(126, 181)(127, 184)(128, 183)(129, 186)(130, 189)(131, 190)(132, 187)(133, 171)(134, 172)(135, 165)(136, 168)(137, 180)(138, 179)(139, 178)(140, 177)(141, 191)(142, 192)(143, 188)(144, 185)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1297
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1300 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-2 * Y2 * Y1^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-3 * Y2 * Y3 * Y1^-3, Y1^4 * Y2 * Y3 * Y1^4 * Y2 * Y3 * Y1^4 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 83, 35, 75, 27, 58, 10, 69, 21, 87, 39, 82, 34, 64, 16, 53, 5, 49)(3, 57, 9, 66, 18, 86, 38, 79, 31, 61, 13, 52, 4, 60, 12, 67, 19, 88, 40, 78, 30, 59, 11, 51)(7, 68, 20, 84, 36, 81, 33, 63, 15, 72, 24, 56, 8, 71, 23, 85, 37, 80, 32, 62, 14, 70, 22, 55)(25, 90, 42, 95, 47, 94, 46, 77, 29, 91, 43, 74, 26, 89, 41, 96, 48, 93, 45, 76, 28, 92, 44, 73)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 28)(12, 26)(13, 29)(15, 27)(16, 30)(17, 36)(19, 39)(20, 41)(22, 43)(23, 42)(24, 44)(31, 35)(32, 46)(33, 45)(34, 37)(38, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 77)(60, 73)(61, 76)(62, 75)(64, 79)(65, 85)(66, 87)(68, 90)(70, 92)(71, 89)(72, 91)(78, 83)(80, 93)(81, 94)(82, 84)(86, 96)(88, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1301 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-2 * Y2, Y3^-1 * Y1 * Y3^-4 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 36, 84, 18, 66, 6, 54, 17, 65, 35, 83, 34, 82, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 41, 89, 26, 74, 10, 58, 3, 51, 9, 57, 25, 73, 44, 92, 24, 72, 8, 56)(11, 59, 27, 75, 45, 93, 33, 81, 15, 63, 30, 78, 12, 60, 29, 77, 46, 94, 32, 80, 14, 62, 28, 76)(19, 67, 37, 85, 47, 95, 43, 91, 23, 71, 40, 88, 20, 68, 39, 87, 48, 96, 42, 90, 22, 70, 38, 86)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 117)(111, 114)(112, 120)(121, 131)(122, 132)(123, 135)(124, 136)(125, 133)(126, 134)(127, 141)(128, 139)(129, 138)(130, 142)(137, 143)(140, 144)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 169)(158, 162)(160, 170)(165, 179)(168, 180)(171, 181)(172, 182)(173, 183)(174, 184)(175, 190)(176, 186)(177, 187)(178, 189)(185, 192)(188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1304
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1302 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = C6 x QD16 (small group id <96, 180>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y1^-2 * Y2^-2, Y2^-2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-2 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^4 * Y3 * Y2^-1 * Y1^2 * Y2^-1 * Y3, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 19, 67)(11, 59, 21, 69)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 26, 74)(17, 65, 28, 76)(20, 68, 33, 81)(22, 70, 35, 83)(25, 73, 40, 88)(27, 75, 36, 84)(29, 77, 41, 89)(30, 78, 42, 90)(31, 79, 34, 82)(32, 80, 44, 92)(37, 85, 46, 94)(38, 86, 45, 93)(39, 87, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 116, 128, 139, 135, 121, 111, 103, 99)(100, 105, 108, 118, 129, 141, 144, 142, 136, 123, 112, 106)(102, 109, 117, 130, 140, 138, 143, 137, 122, 113, 104, 110)(114, 125, 131, 124, 134, 120, 133, 119, 132, 127, 115, 126)(145, 147, 151, 159, 169, 183, 187, 176, 164, 155, 149, 146)(148, 154, 160, 171, 184, 190, 192, 189, 177, 166, 156, 153)(150, 158, 152, 161, 170, 185, 191, 186, 188, 178, 165, 157)(162, 174, 163, 175, 180, 167, 181, 168, 182, 172, 179, 173)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1305
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1303 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = C3 x ((C2 x D8) : C2) (small group id <96, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1, Y2), (Y1 * Y2)^2, (Y2, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y1^-2 * Y2^-1, Y2^5 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y1^-2 * Y2 * Y1^-3, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 109, 99, 104, 102, 106, 118, 107, 101)(100, 110, 117, 134, 128, 111, 119, 113, 124, 135, 125, 112)(105, 120, 133, 127, 108, 121, 115, 123, 136, 126, 114, 122)(129, 140, 143, 141, 130, 139, 132, 137, 144, 142, 131, 138)(145, 147, 155, 164, 154, 146, 152, 149, 157, 166, 151, 150)(148, 159, 173, 182, 172, 158, 167, 160, 176, 183, 165, 161)(153, 169, 162, 175, 184, 168, 163, 170, 156, 174, 181, 171)(177, 187, 179, 189, 192, 188, 180, 186, 178, 190, 191, 185)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1306
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1304 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (C8 x S3) : C2 (small group id <96, 123>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-2 * Y2, Y3^-1 * Y1 * Y3^-4 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 36, 84, 132, 180, 18, 66, 114, 162, 6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 34, 82, 130, 178, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 41, 89, 137, 185, 26, 74, 122, 170, 10, 58, 106, 154, 3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 44, 92, 140, 188, 24, 72, 120, 168, 8, 56, 104, 152)(11, 59, 107, 155, 27, 75, 123, 171, 45, 93, 141, 189, 33, 81, 129, 177, 15, 63, 111, 159, 30, 78, 126, 174, 12, 60, 108, 156, 29, 77, 125, 173, 46, 94, 142, 190, 32, 80, 128, 176, 14, 62, 110, 158, 28, 76, 124, 172)(19, 67, 115, 163, 37, 85, 133, 181, 47, 95, 143, 191, 43, 91, 139, 187, 23, 71, 119, 167, 40, 88, 136, 184, 20, 68, 116, 164, 39, 87, 135, 183, 48, 96, 144, 192, 42, 90, 138, 186, 22, 70, 118, 166, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 69)(14, 53)(15, 66)(16, 72)(17, 60)(18, 63)(19, 55)(20, 57)(21, 61)(22, 56)(23, 58)(24, 64)(25, 83)(26, 84)(27, 87)(28, 88)(29, 85)(30, 86)(31, 93)(32, 91)(33, 90)(34, 94)(35, 73)(36, 74)(37, 77)(38, 78)(39, 75)(40, 76)(41, 95)(42, 81)(43, 80)(44, 96)(45, 79)(46, 82)(47, 89)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 169)(110, 162)(111, 149)(112, 170)(113, 155)(114, 158)(115, 153)(116, 151)(117, 179)(118, 154)(119, 152)(120, 180)(121, 157)(122, 160)(123, 181)(124, 182)(125, 183)(126, 184)(127, 190)(128, 186)(129, 187)(130, 189)(131, 165)(132, 168)(133, 171)(134, 172)(135, 173)(136, 174)(137, 192)(138, 176)(139, 177)(140, 191)(141, 178)(142, 175)(143, 188)(144, 185)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1301
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1305 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = C6 x QD16 (small group id <96, 180>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y1^-2 * Y2^-2, Y2^-2 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-2 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^4 * Y3 * Y2^-1 * Y1^2 * Y2^-1 * Y3, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 19, 67, 115, 163)(11, 59, 107, 155, 21, 69, 117, 165)(13, 61, 109, 157, 23, 71, 119, 167)(14, 62, 110, 158, 24, 72, 120, 168)(15, 63, 111, 159, 26, 74, 122, 170)(17, 65, 113, 161, 28, 76, 124, 172)(20, 68, 116, 164, 33, 81, 129, 177)(22, 70, 118, 166, 35, 83, 131, 179)(25, 73, 121, 169, 40, 88, 136, 184)(27, 75, 123, 171, 36, 84, 132, 180)(29, 77, 125, 173, 41, 89, 137, 185)(30, 78, 126, 174, 42, 90, 138, 186)(31, 79, 127, 175, 34, 82, 130, 178)(32, 80, 128, 176, 44, 92, 140, 188)(37, 85, 133, 181, 46, 94, 142, 190)(38, 86, 134, 182, 45, 93, 141, 189)(39, 87, 135, 183, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 60)(10, 52)(11, 68)(12, 70)(13, 69)(14, 54)(15, 55)(16, 58)(17, 56)(18, 77)(19, 78)(20, 80)(21, 82)(22, 81)(23, 84)(24, 85)(25, 63)(26, 65)(27, 64)(28, 86)(29, 83)(30, 66)(31, 67)(32, 91)(33, 93)(34, 92)(35, 76)(36, 79)(37, 71)(38, 72)(39, 73)(40, 75)(41, 74)(42, 95)(43, 87)(44, 90)(45, 96)(46, 88)(47, 89)(48, 94)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 161)(105, 148)(106, 160)(107, 149)(108, 153)(109, 150)(110, 152)(111, 169)(112, 171)(113, 170)(114, 174)(115, 175)(116, 155)(117, 157)(118, 156)(119, 181)(120, 182)(121, 183)(122, 185)(123, 184)(124, 179)(125, 162)(126, 163)(127, 180)(128, 164)(129, 166)(130, 165)(131, 173)(132, 167)(133, 168)(134, 172)(135, 187)(136, 190)(137, 191)(138, 188)(139, 176)(140, 178)(141, 177)(142, 192)(143, 186)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1302
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1306 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = C3 x ((C2 x D8) : C2) (small group id <96, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1, Y2), (Y1 * Y2)^2, (Y2, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y1^-2 * Y2^-1, Y2^5 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y1^-2 * Y2 * Y1^-3, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 73)(13, 51)(14, 69)(15, 71)(16, 52)(17, 76)(18, 74)(19, 75)(20, 61)(21, 86)(22, 59)(23, 65)(24, 85)(25, 67)(26, 57)(27, 88)(28, 87)(29, 64)(30, 66)(31, 60)(32, 63)(33, 92)(34, 91)(35, 90)(36, 89)(37, 79)(38, 80)(39, 77)(40, 78)(41, 96)(42, 81)(43, 84)(44, 95)(45, 82)(46, 83)(47, 93)(48, 94)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 164)(108, 174)(109, 166)(110, 167)(111, 173)(112, 176)(113, 148)(114, 175)(115, 170)(116, 154)(117, 161)(118, 151)(119, 160)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 182)(126, 181)(127, 184)(128, 183)(129, 187)(130, 190)(131, 189)(132, 186)(133, 171)(134, 172)(135, 165)(136, 168)(137, 177)(138, 178)(139, 179)(140, 180)(141, 192)(142, 191)(143, 185)(144, 188)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1303
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1307 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2, Y1^12, (Y1^-2 * Y2)^6 ]
Map::
	R = (1, 50, 2, 54, 6, 63, 15, 71, 23, 79, 31, 87, 39, 86, 38, 78, 30, 70, 22, 62, 14, 53, 5, 49)(3, 56, 8, 66, 18, 72, 24, 81, 33, 90, 42, 94, 46, 91, 43, 83, 35, 75, 27, 67, 19, 58, 10, 51)(4, 59, 11, 64, 16, 73, 25, 82, 34, 88, 40, 95, 47, 92, 44, 84, 36, 76, 28, 68, 20, 60, 12, 52)(7, 65, 17, 74, 26, 80, 32, 89, 41, 96, 48, 93, 45, 85, 37, 77, 29, 69, 21, 61, 13, 57, 9, 55)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 16)(8, 11)(10, 13)(14, 21)(15, 24)(17, 18)(19, 20)(22, 27)(23, 32)(25, 26)(28, 29)(30, 36)(31, 40)(33, 34)(35, 37)(38, 45)(39, 46)(41, 42)(43, 44)(47, 48)(49, 52)(50, 56)(51, 57)(53, 61)(54, 65)(55, 59)(58, 60)(62, 67)(63, 73)(64, 66)(68, 69)(70, 76)(71, 81)(72, 74)(75, 77)(78, 85)(79, 89)(80, 82)(83, 84)(86, 91)(87, 95)(88, 90)(92, 93)(94, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1308 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1 * Y3 * Y1^-1 * Y2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y1 * Y2 * Y1^-2 * Y3 * Y1, (Y3 * Y1^2)^3, Y1^5 * Y2 * Y3 * Y1 * Y2 ]
Map::
	R = (1, 50, 2, 54, 6, 63, 15, 78, 30, 88, 40, 96, 48, 87, 39, 95, 47, 77, 29, 62, 14, 53, 5, 49)(3, 56, 8, 68, 20, 79, 31, 92, 44, 74, 26, 85, 37, 73, 25, 81, 33, 91, 43, 72, 24, 58, 10, 51)(4, 59, 11, 64, 16, 80, 32, 90, 42, 71, 23, 84, 36, 66, 18, 83, 35, 93, 45, 75, 27, 60, 12, 52)(7, 65, 17, 82, 34, 89, 41, 70, 22, 57, 9, 69, 21, 86, 38, 94, 46, 76, 28, 61, 13, 67, 19, 55)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 16)(8, 18)(10, 22)(11, 25)(13, 26)(14, 28)(15, 31)(17, 33)(19, 36)(20, 38)(21, 39)(23, 40)(24, 42)(27, 44)(29, 43)(30, 41)(32, 46)(34, 45)(35, 47)(37, 48)(49, 52)(50, 56)(51, 57)(53, 61)(54, 65)(55, 66)(58, 71)(59, 69)(60, 74)(62, 72)(63, 80)(64, 81)(67, 85)(68, 83)(70, 88)(73, 87)(75, 89)(76, 90)(77, 93)(78, 92)(79, 94)(82, 91)(84, 96)(86, 95)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1309 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3, Y3^12 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 20, 68, 28, 76, 36, 84, 44, 92, 38, 86, 30, 78, 22, 70, 14, 62, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 46, 94, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)(3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 47, 95, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58)(6, 54, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 48, 96, 45, 93, 37, 85, 29, 77, 21, 69, 13, 61)(97, 98)(99, 102)(100, 105)(101, 109)(103, 107)(104, 106)(108, 115)(110, 114)(111, 113)(112, 117)(116, 119)(118, 120)(121, 123)(122, 125)(124, 129)(126, 133)(127, 131)(128, 130)(132, 139)(134, 138)(135, 137)(136, 141)(140, 142)(143, 144)(145, 147)(146, 150)(148, 155)(149, 152)(151, 153)(154, 157)(156, 159)(158, 165)(160, 162)(161, 163)(164, 169)(166, 170)(167, 171)(168, 173)(172, 179)(174, 176)(175, 177)(178, 181)(180, 183)(182, 189)(184, 186)(185, 187)(188, 191)(190, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1315
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1310 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1, Y3^-2 * Y1 * Y3^2 * Y2, Y2 * Y1 * Y3^-4 * Y1 * Y3^-2, Y2 * Y3^2 * Y2 * Y3^3 * Y1 * Y3 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 27, 75, 45, 93, 32, 80, 48, 96, 30, 78, 47, 95, 29, 77, 14, 62, 5, 53)(2, 50, 7, 55, 18, 66, 36, 84, 42, 90, 23, 71, 40, 88, 21, 69, 39, 87, 38, 86, 20, 68, 8, 56)(3, 51, 9, 57, 22, 70, 41, 89, 37, 85, 19, 67, 35, 83, 17, 65, 34, 82, 43, 91, 24, 72, 10, 58)(6, 54, 15, 63, 31, 79, 46, 94, 28, 76, 13, 61, 26, 74, 11, 59, 25, 73, 44, 92, 33, 81, 16, 64)(97, 98)(99, 102)(100, 105)(101, 109)(103, 111)(104, 115)(106, 119)(107, 117)(108, 121)(110, 120)(112, 128)(113, 126)(114, 130)(116, 129)(118, 135)(122, 131)(123, 132)(124, 138)(125, 134)(127, 143)(133, 141)(136, 144)(137, 142)(139, 140)(145, 147)(146, 150)(148, 155)(149, 152)(151, 161)(153, 165)(154, 160)(156, 162)(157, 163)(158, 172)(159, 174)(164, 181)(166, 175)(167, 176)(168, 186)(169, 178)(170, 184)(171, 185)(173, 187)(177, 189)(179, 192)(180, 190)(182, 188)(183, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1316
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1311 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = C2 x C4 x A4 (small group id <96, 196>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3, Y2^2 * Y3 * Y1 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 20, 68)(10, 58, 22, 70)(11, 59, 24, 72)(13, 61, 19, 67)(14, 62, 17, 65)(15, 63, 28, 76)(18, 66, 21, 69)(23, 71, 32, 80)(25, 73, 26, 74)(27, 75, 36, 84)(29, 77, 30, 78)(31, 79, 40, 88)(33, 81, 34, 82)(35, 83, 43, 91)(37, 85, 38, 86)(39, 87, 46, 94)(41, 89, 42, 90)(44, 92, 45, 93)(47, 95, 48, 96)(97, 98, 101, 107, 119, 127, 135, 131, 123, 111, 103, 99)(100, 105, 115, 120, 129, 138, 142, 141, 133, 124, 117, 106)(102, 109, 122, 128, 137, 144, 139, 134, 125, 112, 118, 110)(104, 113, 116, 108, 121, 130, 136, 143, 140, 132, 126, 114)(145, 147, 151, 159, 171, 179, 183, 175, 167, 155, 149, 146)(148, 154, 165, 172, 181, 189, 190, 186, 177, 168, 163, 153)(150, 158, 166, 160, 173, 182, 187, 192, 185, 176, 170, 157)(152, 162, 174, 180, 188, 191, 184, 178, 169, 156, 164, 161)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1317
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1312 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = C2 x C4 x A4 (small group id <96, 196>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3, Y3 * Y2^3 * Y3 * Y2^-3, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-3, Y2^2 * Y3 * Y2^2 * Y3 * Y1^-2 * Y3, Y3 * Y1^2 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^2 * Y3 * Y2^-2 * Y3 * Y2^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 20, 68)(10, 58, 22, 70)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 30, 78)(15, 63, 32, 80)(17, 65, 34, 82)(18, 66, 36, 84)(19, 67, 37, 85)(21, 69, 39, 87)(23, 71, 40, 88)(25, 73, 33, 81)(26, 74, 42, 90)(27, 75, 35, 83)(29, 77, 43, 91)(31, 79, 38, 86)(41, 89, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 98, 101, 107, 119, 137, 143, 141, 127, 111, 103, 99)(100, 105, 115, 120, 132, 139, 144, 138, 124, 128, 117, 106)(102, 109, 123, 136, 118, 130, 142, 133, 129, 112, 125, 110)(104, 113, 122, 108, 121, 135, 140, 126, 116, 134, 131, 114)(145, 147, 151, 159, 175, 189, 191, 185, 167, 155, 149, 146)(148, 154, 165, 176, 172, 186, 192, 187, 180, 168, 163, 153)(150, 158, 173, 160, 177, 181, 190, 178, 166, 184, 171, 157)(152, 162, 179, 182, 164, 174, 188, 183, 169, 156, 170, 161)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1318
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1313 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y2, Y1), Y2^3 * Y1^-3, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2 * Y3 * Y2^-1 * Y1^2 * Y3 * Y1^-2, Y2^12, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 34, 82)(14, 62, 36, 84)(15, 63, 39, 87)(16, 64, 41, 89)(17, 65, 42, 90)(20, 68, 43, 91)(22, 70, 46, 94)(24, 72, 35, 83)(25, 73, 30, 78)(26, 74, 33, 81)(27, 75, 37, 85)(31, 79, 38, 86)(32, 80, 40, 88)(44, 92, 47, 95)(45, 93, 48, 96)(97, 98, 103, 116, 109, 99, 104, 102, 106, 118, 107, 101)(100, 110, 131, 139, 136, 111, 119, 113, 133, 142, 134, 112)(105, 120, 143, 130, 135, 121, 115, 123, 144, 125, 137, 122)(108, 126, 138, 124, 141, 127, 114, 129, 132, 117, 140, 128)(145, 147, 155, 164, 154, 146, 152, 149, 157, 166, 151, 150)(148, 159, 182, 187, 181, 158, 167, 160, 184, 190, 179, 161)(153, 169, 185, 178, 192, 168, 163, 170, 183, 173, 191, 171)(156, 175, 188, 172, 180, 174, 162, 176, 189, 165, 186, 177)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1320
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1314 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y2)^2, Y2^5 * Y1^-1, (Y2^-1 * Y1^-1 * Y3)^2, Y1 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y2^-3 * Y3 * Y1^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 34, 82)(14, 62, 36, 84)(15, 63, 39, 87)(16, 64, 41, 89)(17, 65, 42, 90)(20, 68, 43, 91)(22, 70, 46, 94)(24, 72, 37, 85)(25, 73, 33, 81)(26, 74, 30, 78)(27, 75, 35, 83)(31, 79, 40, 88)(32, 80, 38, 86)(44, 92, 48, 96)(45, 93, 47, 95)(97, 98, 103, 116, 109, 99, 104, 102, 106, 118, 107, 101)(100, 110, 131, 139, 136, 111, 119, 113, 133, 142, 134, 112)(105, 120, 143, 130, 137, 121, 115, 123, 144, 125, 135, 122)(108, 126, 132, 124, 141, 127, 114, 129, 138, 117, 140, 128)(145, 147, 155, 164, 154, 146, 152, 149, 157, 166, 151, 150)(148, 159, 182, 187, 181, 158, 167, 160, 184, 190, 179, 161)(153, 169, 183, 178, 192, 168, 163, 170, 185, 173, 191, 171)(156, 175, 188, 172, 186, 174, 162, 176, 189, 165, 180, 177)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1319
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1315 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 20, 68, 116, 164, 28, 76, 124, 172, 36, 84, 132, 180, 44, 92, 140, 188, 38, 86, 134, 182, 30, 78, 126, 174, 22, 70, 118, 166, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 15, 63, 111, 159, 23, 71, 119, 167, 31, 79, 127, 175, 39, 87, 135, 183, 46, 94, 142, 190, 40, 88, 136, 184, 32, 80, 128, 176, 24, 72, 120, 168, 16, 64, 112, 160, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 17, 65, 113, 161, 25, 73, 121, 169, 33, 81, 129, 177, 41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 34, 82, 130, 178, 26, 74, 122, 170, 18, 66, 114, 162, 10, 58, 106, 154)(6, 54, 102, 150, 11, 59, 107, 155, 19, 67, 115, 163, 27, 75, 123, 171, 35, 83, 131, 179, 43, 91, 139, 187, 48, 96, 144, 192, 45, 93, 141, 189, 37, 85, 133, 181, 29, 77, 125, 173, 21, 69, 117, 165, 13, 61, 109, 157)
	L = (1, 50)(2, 49)(3, 54)(4, 57)(5, 61)(6, 51)(7, 59)(8, 58)(9, 52)(10, 56)(11, 55)(12, 67)(13, 53)(14, 66)(15, 65)(16, 69)(17, 63)(18, 62)(19, 60)(20, 71)(21, 64)(22, 72)(23, 68)(24, 70)(25, 75)(26, 77)(27, 73)(28, 81)(29, 74)(30, 85)(31, 83)(32, 82)(33, 76)(34, 80)(35, 79)(36, 91)(37, 78)(38, 90)(39, 89)(40, 93)(41, 87)(42, 86)(43, 84)(44, 94)(45, 88)(46, 92)(47, 96)(48, 95)(97, 147)(98, 150)(99, 145)(100, 155)(101, 152)(102, 146)(103, 153)(104, 149)(105, 151)(106, 157)(107, 148)(108, 159)(109, 154)(110, 165)(111, 156)(112, 162)(113, 163)(114, 160)(115, 161)(116, 169)(117, 158)(118, 170)(119, 171)(120, 173)(121, 164)(122, 166)(123, 167)(124, 179)(125, 168)(126, 176)(127, 177)(128, 174)(129, 175)(130, 181)(131, 172)(132, 183)(133, 178)(134, 189)(135, 180)(136, 186)(137, 187)(138, 184)(139, 185)(140, 191)(141, 182)(142, 192)(143, 188)(144, 190)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1309
Transitivity :: VT+
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1316 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1, Y3^-2 * Y1 * Y3^2 * Y2, Y2 * Y1 * Y3^-4 * Y1 * Y3^-2, Y2 * Y3^2 * Y2 * Y3^3 * Y1 * Y3 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 27, 75, 123, 171, 45, 93, 141, 189, 32, 80, 128, 176, 48, 96, 144, 192, 30, 78, 126, 174, 47, 95, 143, 191, 29, 77, 125, 173, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 18, 66, 114, 162, 36, 84, 132, 180, 42, 90, 138, 186, 23, 71, 119, 167, 40, 88, 136, 184, 21, 69, 117, 165, 39, 87, 135, 183, 38, 86, 134, 182, 20, 68, 116, 164, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 22, 70, 118, 166, 41, 89, 137, 185, 37, 85, 133, 181, 19, 67, 115, 163, 35, 83, 131, 179, 17, 65, 113, 161, 34, 82, 130, 178, 43, 91, 139, 187, 24, 72, 120, 168, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 31, 79, 127, 175, 46, 94, 142, 190, 28, 76, 124, 172, 13, 61, 109, 157, 26, 74, 122, 170, 11, 59, 107, 155, 25, 73, 121, 169, 44, 92, 140, 188, 33, 81, 129, 177, 16, 64, 112, 160)
	L = (1, 50)(2, 49)(3, 54)(4, 57)(5, 61)(6, 51)(7, 63)(8, 67)(9, 52)(10, 71)(11, 69)(12, 73)(13, 53)(14, 72)(15, 55)(16, 80)(17, 78)(18, 82)(19, 56)(20, 81)(21, 59)(22, 87)(23, 58)(24, 62)(25, 60)(26, 83)(27, 84)(28, 90)(29, 86)(30, 65)(31, 95)(32, 64)(33, 68)(34, 66)(35, 74)(36, 75)(37, 93)(38, 77)(39, 70)(40, 96)(41, 94)(42, 76)(43, 92)(44, 91)(45, 85)(46, 89)(47, 79)(48, 88)(97, 147)(98, 150)(99, 145)(100, 155)(101, 152)(102, 146)(103, 161)(104, 149)(105, 165)(106, 160)(107, 148)(108, 162)(109, 163)(110, 172)(111, 174)(112, 154)(113, 151)(114, 156)(115, 157)(116, 181)(117, 153)(118, 175)(119, 176)(120, 186)(121, 178)(122, 184)(123, 185)(124, 158)(125, 187)(126, 159)(127, 166)(128, 167)(129, 189)(130, 169)(131, 192)(132, 190)(133, 164)(134, 188)(135, 191)(136, 170)(137, 171)(138, 168)(139, 173)(140, 182)(141, 177)(142, 180)(143, 183)(144, 179)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1310
Transitivity :: VT+
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1317 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = C2 x C4 x A4 (small group id <96, 196>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3, Y2^2 * Y3 * Y1 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164)(10, 58, 106, 154, 22, 70, 118, 166)(11, 59, 107, 155, 24, 72, 120, 168)(13, 61, 109, 157, 19, 67, 115, 163)(14, 62, 110, 158, 17, 65, 113, 161)(15, 63, 111, 159, 28, 76, 124, 172)(18, 66, 114, 162, 21, 69, 117, 165)(23, 71, 119, 167, 32, 80, 128, 176)(25, 73, 121, 169, 26, 74, 122, 170)(27, 75, 123, 171, 36, 84, 132, 180)(29, 77, 125, 173, 30, 78, 126, 174)(31, 79, 127, 175, 40, 88, 136, 184)(33, 81, 129, 177, 34, 82, 130, 178)(35, 83, 131, 179, 43, 91, 139, 187)(37, 85, 133, 181, 38, 86, 134, 182)(39, 87, 135, 183, 46, 94, 142, 190)(41, 89, 137, 185, 42, 90, 138, 186)(44, 92, 140, 188, 45, 93, 141, 189)(47, 95, 143, 191, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 67)(10, 52)(11, 71)(12, 73)(13, 74)(14, 54)(15, 55)(16, 70)(17, 68)(18, 56)(19, 72)(20, 60)(21, 58)(22, 62)(23, 79)(24, 81)(25, 82)(26, 80)(27, 63)(28, 69)(29, 64)(30, 66)(31, 87)(32, 89)(33, 90)(34, 88)(35, 75)(36, 78)(37, 76)(38, 77)(39, 83)(40, 95)(41, 96)(42, 94)(43, 86)(44, 84)(45, 85)(46, 93)(47, 92)(48, 91)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 148)(106, 165)(107, 149)(108, 164)(109, 150)(110, 166)(111, 171)(112, 173)(113, 152)(114, 174)(115, 153)(116, 161)(117, 172)(118, 160)(119, 155)(120, 163)(121, 156)(122, 157)(123, 179)(124, 181)(125, 182)(126, 180)(127, 167)(128, 170)(129, 168)(130, 169)(131, 183)(132, 188)(133, 189)(134, 187)(135, 175)(136, 178)(137, 176)(138, 177)(139, 192)(140, 191)(141, 190)(142, 186)(143, 184)(144, 185)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1311
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1318 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = C2 x C4 x A4 (small group id <96, 196>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3, Y3 * Y2^3 * Y3 * Y2^-3, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-3, Y2^2 * Y3 * Y2^2 * Y3 * Y1^-2 * Y3, Y3 * Y1^2 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1^2 * Y3 * Y2^-2 * Y3 * Y2^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164)(10, 58, 106, 154, 22, 70, 118, 166)(11, 59, 107, 155, 24, 72, 120, 168)(13, 61, 109, 157, 28, 76, 124, 172)(14, 62, 110, 158, 30, 78, 126, 174)(15, 63, 111, 159, 32, 80, 128, 176)(17, 65, 113, 161, 34, 82, 130, 178)(18, 66, 114, 162, 36, 84, 132, 180)(19, 67, 115, 163, 37, 85, 133, 181)(21, 69, 117, 165, 39, 87, 135, 183)(23, 71, 119, 167, 40, 88, 136, 184)(25, 73, 121, 169, 33, 81, 129, 177)(26, 74, 122, 170, 42, 90, 138, 186)(27, 75, 123, 171, 35, 83, 131, 179)(29, 77, 125, 173, 43, 91, 139, 187)(31, 79, 127, 175, 38, 86, 134, 182)(41, 89, 137, 185, 44, 92, 140, 188)(45, 93, 141, 189, 46, 94, 142, 190)(47, 95, 143, 191, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 67)(10, 52)(11, 71)(12, 73)(13, 75)(14, 54)(15, 55)(16, 77)(17, 74)(18, 56)(19, 72)(20, 86)(21, 58)(22, 82)(23, 89)(24, 84)(25, 87)(26, 60)(27, 88)(28, 80)(29, 62)(30, 68)(31, 63)(32, 69)(33, 64)(34, 94)(35, 66)(36, 91)(37, 81)(38, 83)(39, 92)(40, 70)(41, 95)(42, 76)(43, 96)(44, 78)(45, 79)(46, 85)(47, 93)(48, 90)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 148)(106, 165)(107, 149)(108, 170)(109, 150)(110, 173)(111, 175)(112, 177)(113, 152)(114, 179)(115, 153)(116, 174)(117, 176)(118, 184)(119, 155)(120, 163)(121, 156)(122, 161)(123, 157)(124, 186)(125, 160)(126, 188)(127, 189)(128, 172)(129, 181)(130, 166)(131, 182)(132, 168)(133, 190)(134, 164)(135, 169)(136, 171)(137, 167)(138, 192)(139, 180)(140, 183)(141, 191)(142, 178)(143, 185)(144, 187)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1312
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1319 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, (Y2, Y1), Y2^3 * Y1^-3, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2 * Y3 * Y2^-1 * Y1^2 * Y3 * Y1^-2, Y2^12, Y1^12 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 34, 82, 130, 178)(14, 62, 110, 158, 36, 84, 132, 180)(15, 63, 111, 159, 39, 87, 135, 183)(16, 64, 112, 160, 41, 89, 137, 185)(17, 65, 113, 161, 42, 90, 138, 186)(20, 68, 116, 164, 43, 91, 139, 187)(22, 70, 118, 166, 46, 94, 142, 190)(24, 72, 120, 168, 35, 83, 131, 179)(25, 73, 121, 169, 30, 78, 126, 174)(26, 74, 122, 170, 33, 81, 129, 177)(27, 75, 123, 171, 37, 85, 133, 181)(31, 79, 127, 175, 38, 86, 134, 182)(32, 80, 128, 176, 40, 88, 136, 184)(44, 92, 140, 188, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 83)(15, 71)(16, 52)(17, 85)(18, 81)(19, 75)(20, 61)(21, 92)(22, 59)(23, 65)(24, 95)(25, 67)(26, 57)(27, 96)(28, 93)(29, 89)(30, 90)(31, 66)(32, 60)(33, 84)(34, 87)(35, 91)(36, 69)(37, 94)(38, 64)(39, 73)(40, 63)(41, 74)(42, 76)(43, 88)(44, 80)(45, 79)(46, 86)(47, 82)(48, 77)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 164)(108, 175)(109, 166)(110, 167)(111, 182)(112, 184)(113, 148)(114, 176)(115, 170)(116, 154)(117, 186)(118, 151)(119, 160)(120, 163)(121, 185)(122, 183)(123, 153)(124, 180)(125, 191)(126, 162)(127, 188)(128, 189)(129, 156)(130, 192)(131, 161)(132, 174)(133, 158)(134, 187)(135, 173)(136, 190)(137, 178)(138, 177)(139, 181)(140, 172)(141, 165)(142, 179)(143, 171)(144, 168)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1314
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1320 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y2^-2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y2)^2, Y2^5 * Y1^-1, (Y2^-1 * Y1^-1 * Y3)^2, Y1 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y2^-3 * Y3 * Y1^3 ]
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, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 34, 82, 130, 178)(14, 62, 110, 158, 36, 84, 132, 180)(15, 63, 111, 159, 39, 87, 135, 183)(16, 64, 112, 160, 41, 89, 137, 185)(17, 65, 113, 161, 42, 90, 138, 186)(20, 68, 116, 164, 43, 91, 139, 187)(22, 70, 118, 166, 46, 94, 142, 190)(24, 72, 120, 168, 37, 85, 133, 181)(25, 73, 121, 169, 33, 81, 129, 177)(26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 35, 83, 131, 179)(31, 79, 127, 175, 40, 88, 136, 184)(32, 80, 128, 176, 38, 86, 134, 182)(44, 92, 140, 188, 48, 96, 144, 192)(45, 93, 141, 189, 47, 95, 143, 191)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 83)(15, 71)(16, 52)(17, 85)(18, 81)(19, 75)(20, 61)(21, 92)(22, 59)(23, 65)(24, 95)(25, 67)(26, 57)(27, 96)(28, 93)(29, 87)(30, 84)(31, 66)(32, 60)(33, 90)(34, 89)(35, 91)(36, 76)(37, 94)(38, 64)(39, 74)(40, 63)(41, 73)(42, 69)(43, 88)(44, 80)(45, 79)(46, 86)(47, 82)(48, 77)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 164)(108, 175)(109, 166)(110, 167)(111, 182)(112, 184)(113, 148)(114, 176)(115, 170)(116, 154)(117, 180)(118, 151)(119, 160)(120, 163)(121, 183)(122, 185)(123, 153)(124, 186)(125, 191)(126, 162)(127, 188)(128, 189)(129, 156)(130, 192)(131, 161)(132, 177)(133, 158)(134, 187)(135, 178)(136, 190)(137, 173)(138, 174)(139, 181)(140, 172)(141, 165)(142, 179)(143, 171)(144, 168)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1313
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|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, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 15, 63)(14, 62, 20, 68)(16, 64, 19, 67)(18, 66, 23, 71)(22, 70, 24, 72)(25, 73, 26, 74)(27, 75, 33, 81)(28, 76, 29, 77)(30, 78, 36, 84)(31, 79, 34, 82)(32, 80, 37, 85)(35, 83, 42, 90)(38, 86, 45, 93)(39, 87, 41, 89)(40, 88, 44, 92)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 123, 171, 131, 179, 139, 187, 134, 182, 126, 174, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 119, 167, 127, 175, 135, 183, 142, 190, 136, 184, 128, 176, 120, 168, 110, 158, 102, 150)(103, 151, 111, 159, 121, 169, 129, 177, 137, 185, 143, 191, 141, 189, 133, 181, 125, 173, 117, 165, 109, 157, 112, 160)(105, 153, 115, 163, 107, 155, 113, 161, 122, 170, 130, 178, 138, 186, 144, 192, 140, 188, 132, 180, 124, 172, 116, 164)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ 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, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2, Y1 * Y2^4 * Y1 * Y2 * Y1 * Y2, (Y1 * Y2^2)^3, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 25, 73)(14, 62, 29, 77)(15, 63, 31, 79)(16, 64, 24, 72)(18, 66, 26, 74)(19, 67, 27, 75)(20, 68, 37, 85)(22, 70, 30, 78)(23, 71, 40, 88)(28, 76, 36, 84)(32, 80, 38, 86)(33, 81, 44, 92)(34, 82, 39, 87)(35, 83, 43, 91)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 114, 162, 132, 180, 141, 189, 144, 192, 142, 190, 136, 184, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 133, 181, 140, 188, 143, 191, 139, 187, 127, 175, 126, 174, 110, 158, 102, 150)(103, 151, 111, 159, 128, 176, 124, 172, 109, 157, 123, 171, 138, 186, 121, 169, 135, 183, 117, 165, 129, 177, 112, 160)(105, 153, 115, 163, 131, 179, 113, 161, 130, 178, 125, 173, 137, 185, 120, 168, 107, 155, 119, 167, 134, 182, 116, 164)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6 * Y3, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(14, 62, 31, 79)(16, 64, 21, 69)(17, 65, 33, 81)(18, 66, 36, 84)(20, 68, 30, 78)(23, 71, 29, 77)(25, 73, 34, 82)(26, 74, 43, 91)(28, 76, 46, 94)(32, 80, 38, 86)(35, 83, 40, 88)(37, 85, 45, 93)(39, 87, 42, 90)(41, 89, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 121, 169, 124, 172, 108, 156, 100, 148, 107, 155, 122, 170, 128, 176, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 130, 178, 133, 181, 114, 162, 103, 151, 113, 161, 131, 179, 134, 182, 116, 164, 104, 152)(105, 153, 117, 165, 135, 183, 142, 190, 132, 180, 137, 185, 118, 166, 136, 184, 144, 192, 127, 175, 115, 163, 119, 167)(109, 157, 125, 173, 111, 159, 120, 168, 138, 186, 141, 189, 123, 171, 140, 188, 129, 177, 139, 187, 143, 191, 126, 174)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 122)(11, 99)(12, 101)(13, 123)(14, 124)(15, 129)(16, 131)(17, 102)(18, 104)(19, 132)(20, 133)(21, 136)(22, 105)(23, 137)(24, 139)(25, 128)(26, 106)(27, 109)(28, 110)(29, 140)(30, 141)(31, 142)(32, 121)(33, 111)(34, 134)(35, 112)(36, 115)(37, 116)(38, 130)(39, 144)(40, 117)(41, 119)(42, 143)(43, 120)(44, 125)(45, 126)(46, 127)(47, 138)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1324
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^6 * Y3, Y1 * Y2^3 * Y1 * Y2^-3, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(14, 62, 31, 79)(16, 64, 36, 84)(17, 65, 34, 82)(18, 66, 39, 87)(20, 68, 43, 91)(21, 69, 38, 86)(23, 71, 35, 83)(25, 73, 37, 85)(26, 74, 33, 81)(28, 76, 42, 90)(29, 77, 41, 89)(30, 78, 40, 88)(32, 80, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 121, 169, 124, 172, 108, 156, 100, 148, 107, 155, 122, 170, 128, 176, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 133, 181, 136, 184, 114, 162, 103, 151, 113, 161, 134, 182, 140, 188, 116, 164, 104, 152)(105, 153, 117, 165, 141, 189, 138, 186, 115, 163, 137, 185, 118, 166, 132, 180, 144, 192, 127, 175, 135, 183, 119, 167)(109, 157, 125, 173, 130, 178, 120, 168, 142, 190, 139, 187, 123, 171, 131, 179, 111, 159, 129, 177, 143, 191, 126, 174)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 122)(11, 99)(12, 101)(13, 123)(14, 124)(15, 130)(16, 134)(17, 102)(18, 104)(19, 135)(20, 136)(21, 132)(22, 105)(23, 137)(24, 129)(25, 128)(26, 106)(27, 109)(28, 110)(29, 131)(30, 139)(31, 138)(32, 121)(33, 120)(34, 111)(35, 125)(36, 117)(37, 140)(38, 112)(39, 115)(40, 116)(41, 119)(42, 127)(43, 126)(44, 133)(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) :: { ( 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 E21.1323
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^6 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, (R * Y2^-3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 34, 82)(24, 72, 35, 83)(25, 73, 36, 84)(26, 74, 37, 85)(27, 75, 38, 86)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 116, 164, 104, 152, 98, 146, 102, 150, 111, 159, 128, 176, 110, 158, 101, 149)(100, 148, 107, 155, 121, 169, 139, 187, 135, 183, 114, 162, 103, 151, 113, 161, 132, 180, 142, 190, 124, 172, 108, 156)(106, 154, 119, 167, 141, 189, 138, 186, 134, 182, 131, 179, 112, 160, 130, 178, 144, 192, 127, 175, 123, 171, 120, 168)(109, 157, 125, 173, 122, 170, 118, 166, 140, 188, 137, 185, 115, 163, 136, 184, 133, 181, 129, 177, 143, 191, 126, 174)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 102)(17, 133)(18, 134)(19, 104)(20, 138)(21, 139)(22, 105)(23, 121)(24, 125)(25, 119)(26, 107)(27, 108)(28, 126)(29, 120)(30, 124)(31, 110)(32, 142)(33, 111)(34, 132)(35, 136)(36, 130)(37, 113)(38, 114)(39, 137)(40, 131)(41, 135)(42, 116)(43, 117)(44, 141)(45, 140)(46, 128)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E21.1326
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * R)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2 * R * Y2^-1 * R, Y3 * Y2^-2 * R * Y2^-1 * R * Y2, Y2^3 * Y3 * Y2^3 * Y1, Y1 * Y2 * R * Y2^-4 * R * Y2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 38, 86)(18, 66, 30, 78)(24, 72, 37, 85)(25, 73, 32, 80)(26, 74, 36, 84)(28, 76, 41, 89)(29, 77, 42, 90)(31, 79, 34, 82)(33, 81, 35, 83)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 124, 172, 139, 187, 117, 165, 103, 151, 116, 164, 138, 186, 136, 184, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 137, 185, 129, 177, 109, 157, 100, 148, 108, 156, 128, 176, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 141, 189, 135, 183, 118, 166, 127, 175, 107, 155, 126, 174, 144, 192, 134, 182, 119, 167, 122, 170)(110, 158, 130, 178, 115, 163, 123, 171, 142, 190, 133, 181, 111, 159, 132, 180, 113, 161, 125, 173, 143, 191, 131, 179)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 125)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 135)(17, 108)(18, 121)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 131)(25, 114)(26, 130)(27, 138)(28, 140)(29, 106)(30, 128)(31, 132)(32, 126)(33, 133)(34, 122)(35, 120)(36, 127)(37, 129)(38, 139)(39, 112)(40, 137)(41, 136)(42, 123)(43, 134)(44, 124)(45, 142)(46, 141)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E21.1325
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y1)^2, (R * Y1)^2, R * Y3 * Y2^-1 * Y3 * R * Y2^-1, Y1 * Y2^6, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2, (R * Y2^-3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 34, 82)(24, 72, 35, 83)(25, 73, 36, 84)(26, 74, 37, 85)(27, 75, 38, 86)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 116, 164, 104, 152, 98, 146, 102, 150, 111, 159, 128, 176, 110, 158, 101, 149)(100, 148, 107, 155, 121, 169, 139, 187, 135, 183, 114, 162, 103, 151, 113, 161, 132, 180, 142, 190, 124, 172, 108, 156)(106, 154, 119, 167, 141, 189, 138, 186, 123, 171, 131, 179, 112, 160, 130, 178, 144, 192, 127, 175, 134, 182, 120, 168)(109, 157, 125, 173, 133, 181, 118, 166, 140, 188, 137, 185, 115, 163, 136, 184, 122, 170, 129, 177, 143, 191, 126, 174)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 102)(17, 133)(18, 134)(19, 104)(20, 138)(21, 139)(22, 105)(23, 132)(24, 136)(25, 130)(26, 107)(27, 108)(28, 137)(29, 131)(30, 135)(31, 110)(32, 142)(33, 111)(34, 121)(35, 125)(36, 119)(37, 113)(38, 114)(39, 126)(40, 120)(41, 124)(42, 116)(43, 117)(44, 144)(45, 143)(46, 128)(47, 141)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1328
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^2, Y1 * Y2 * R * Y2^2 * R * Y2, Y2^5 * Y1 * Y3 * Y2, Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 38, 86)(18, 66, 25, 73)(24, 72, 35, 83)(26, 74, 34, 82)(28, 76, 41, 89)(29, 77, 42, 90)(30, 78, 32, 80)(31, 79, 36, 84)(33, 81, 37, 85)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 124, 172, 139, 187, 117, 165, 103, 151, 116, 164, 138, 186, 136, 184, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 137, 185, 129, 177, 109, 157, 100, 148, 108, 156, 128, 176, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 141, 189, 135, 183, 119, 167, 127, 175, 107, 155, 126, 174, 144, 192, 134, 182, 118, 166, 122, 170)(110, 158, 130, 178, 113, 161, 123, 171, 142, 190, 133, 181, 111, 159, 132, 180, 115, 163, 125, 173, 143, 191, 131, 179)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 125)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 135)(17, 108)(18, 126)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 133)(25, 128)(26, 132)(27, 138)(28, 140)(29, 106)(30, 114)(31, 130)(32, 121)(33, 131)(34, 127)(35, 129)(36, 122)(37, 120)(38, 139)(39, 112)(40, 137)(41, 136)(42, 123)(43, 134)(44, 124)(45, 143)(46, 144)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1327
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1329 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3, Y1^-2 * Y3 * Y2 * Y1^-1 * Y3, Y3 * Y2 * Y1^-4 * Y3 * Y1, (Y2 * Y3)^4 ]
Map::
	R = (1, 50, 2, 54, 6, 64, 16, 79, 31, 92, 44, 88, 40, 96, 48, 89, 41, 78, 30, 63, 15, 53, 5, 49)(3, 56, 8, 69, 21, 80, 32, 93, 45, 82, 34, 76, 28, 83, 35, 77, 29, 90, 42, 74, 26, 58, 10, 51)(4, 59, 11, 65, 17, 81, 33, 70, 22, 85, 37, 72, 24, 87, 39, 95, 47, 84, 36, 67, 19, 61, 13, 52)(7, 66, 18, 60, 12, 75, 27, 91, 43, 94, 46, 86, 38, 73, 25, 57, 9, 71, 23, 62, 14, 68, 20, 55)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 17)(8, 22)(9, 24)(10, 25)(11, 26)(14, 21)(15, 23)(16, 32)(18, 34)(19, 35)(20, 36)(27, 31)(28, 40)(29, 43)(30, 42)(33, 46)(37, 44)(38, 48)(39, 45)(41, 47)(49, 52)(50, 56)(51, 57)(53, 62)(54, 66)(55, 67)(58, 65)(59, 75)(60, 76)(61, 77)(63, 74)(64, 81)(68, 80)(69, 85)(70, 86)(71, 87)(72, 88)(73, 89)(78, 84)(79, 93)(82, 95)(83, 96)(90, 94)(91, 92)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1330 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y1 * Y3 * Y1^-1, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3)^3, Y3 * Y1^2 * Y2 * Y1^-2, (Y3 * Y2)^4, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y1^12 ]
Map::
	R = (1, 50, 2, 54, 6, 64, 16, 81, 33, 94, 46, 92, 44, 96, 48, 93, 45, 80, 32, 63, 15, 53, 5, 49)(3, 56, 8, 69, 21, 82, 34, 75, 27, 84, 36, 77, 29, 86, 38, 79, 31, 87, 39, 74, 26, 58, 10, 51)(4, 59, 11, 65, 17, 83, 35, 67, 19, 85, 37, 72, 24, 91, 43, 73, 25, 90, 42, 70, 22, 61, 13, 52)(7, 66, 18, 57, 9, 71, 23, 88, 40, 95, 47, 89, 41, 78, 30, 60, 12, 76, 28, 62, 14, 68, 20, 55)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 17)(8, 22)(9, 24)(10, 18)(11, 27)(14, 31)(15, 28)(16, 34)(19, 38)(20, 35)(21, 40)(23, 33)(25, 45)(26, 43)(29, 44)(30, 36)(32, 39)(37, 46)(41, 48)(42, 47)(49, 52)(50, 56)(51, 57)(53, 62)(54, 66)(55, 67)(58, 73)(59, 76)(60, 77)(61, 69)(63, 74)(64, 83)(65, 84)(68, 87)(70, 89)(71, 91)(72, 92)(75, 81)(78, 93)(79, 85)(80, 90)(82, 95)(86, 96)(88, 94)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1331 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-2 * Y1, (Y2 * Y1)^4, Y3^12 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 29, 77, 34, 82, 45, 93, 31, 79, 44, 92, 41, 89, 30, 78, 15, 63, 5, 53)(2, 50, 7, 55, 20, 68, 37, 85, 26, 74, 40, 88, 23, 71, 39, 87, 46, 94, 38, 86, 22, 70, 8, 56)(3, 51, 10, 58, 27, 75, 43, 91, 47, 95, 33, 81, 16, 64, 32, 80, 21, 69, 36, 84, 19, 67, 11, 59)(6, 54, 17, 65, 35, 83, 48, 96, 42, 90, 25, 73, 9, 57, 24, 72, 14, 62, 28, 76, 12, 60, 18, 66)(97, 98)(99, 105)(100, 106)(101, 110)(102, 112)(103, 113)(104, 117)(107, 116)(108, 118)(109, 114)(111, 115)(119, 127)(120, 135)(121, 137)(122, 138)(123, 136)(124, 139)(125, 133)(126, 134)(128, 140)(129, 142)(130, 143)(131, 141)(132, 144)(145, 147)(146, 150)(148, 156)(149, 152)(151, 163)(153, 167)(154, 170)(155, 169)(157, 164)(158, 171)(159, 168)(160, 175)(161, 178)(162, 177)(165, 179)(166, 176)(172, 182)(173, 187)(174, 180)(181, 192)(183, 191)(184, 189)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1335
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1332 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1)^3, Y3^-2 * Y1 * Y3^2 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4, Y3^12 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 30, 78, 38, 86, 47, 95, 33, 81, 46, 94, 36, 84, 32, 80, 15, 63, 5, 53)(2, 50, 7, 55, 20, 68, 40, 88, 28, 76, 44, 92, 23, 71, 43, 91, 26, 74, 42, 90, 22, 70, 8, 56)(3, 51, 10, 58, 21, 69, 39, 87, 19, 67, 35, 83, 16, 64, 34, 82, 31, 79, 45, 93, 27, 75, 11, 59)(6, 54, 17, 65, 14, 62, 29, 77, 12, 60, 25, 73, 9, 57, 24, 72, 41, 89, 48, 96, 37, 85, 18, 66)(97, 98)(99, 105)(100, 106)(101, 110)(102, 112)(103, 113)(104, 117)(107, 122)(108, 124)(109, 121)(111, 123)(114, 132)(115, 134)(116, 131)(118, 133)(119, 129)(120, 139)(125, 141)(126, 136)(127, 140)(128, 138)(130, 142)(135, 144)(137, 143)(145, 147)(146, 150)(148, 156)(149, 152)(151, 163)(153, 167)(154, 166)(155, 169)(157, 164)(158, 175)(159, 161)(160, 177)(162, 179)(165, 185)(168, 182)(170, 180)(171, 187)(172, 178)(173, 184)(174, 183)(176, 189)(181, 190)(186, 192)(188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1336
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1333 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2^-2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-2, Y3 * Y1^3 * Y3 * Y1^-3, Y1^12, Y2^12, Y2^3 * Y3 * Y2 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 20, 68)(10, 58, 22, 70)(11, 59, 24, 72)(13, 61, 28, 76)(14, 62, 30, 78)(15, 63, 32, 80)(17, 65, 27, 75)(18, 66, 34, 82)(19, 67, 29, 77)(21, 69, 26, 74)(23, 71, 38, 86)(25, 73, 40, 88)(31, 79, 42, 90)(33, 81, 45, 93)(35, 83, 37, 85)(36, 84, 43, 91)(39, 87, 48, 96)(41, 89, 46, 94)(44, 92, 47, 95)(97, 98, 101, 107, 119, 133, 142, 139, 127, 111, 103, 99)(100, 105, 115, 120, 135, 124, 137, 130, 140, 128, 117, 106)(102, 109, 123, 134, 143, 136, 132, 118, 129, 112, 125, 110)(104, 113, 122, 108, 121, 116, 131, 141, 144, 138, 126, 114)(145, 147, 151, 159, 175, 187, 190, 181, 167, 155, 149, 146)(148, 154, 165, 176, 188, 178, 185, 172, 183, 168, 163, 153)(150, 158, 173, 160, 177, 166, 180, 184, 191, 182, 171, 157)(152, 162, 174, 186, 192, 189, 179, 164, 169, 156, 170, 161)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1337
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1334 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y2^3 * Y3 * Y2^-3, Y3 * Y1^3 * Y3 * Y1^-3, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y1 * Y3 * Y2 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 16, 64)(9, 57, 18, 66)(10, 58, 13, 61)(11, 59, 22, 70)(14, 62, 23, 71)(15, 63, 28, 76)(17, 65, 29, 77)(19, 67, 31, 79)(20, 68, 32, 80)(21, 69, 34, 82)(24, 72, 35, 83)(25, 73, 37, 85)(26, 74, 38, 86)(27, 75, 40, 88)(30, 78, 42, 90)(33, 81, 44, 92)(36, 84, 46, 94)(39, 87, 47, 95)(41, 89, 45, 93)(43, 91, 48, 96)(97, 98, 101, 107, 117, 129, 139, 135, 123, 111, 103, 99)(100, 105, 115, 118, 131, 141, 144, 142, 134, 124, 116, 106)(102, 109, 121, 130, 127, 138, 143, 137, 125, 112, 122, 110)(104, 113, 120, 108, 119, 132, 140, 133, 128, 136, 126, 114)(145, 147, 151, 159, 171, 183, 187, 177, 165, 155, 149, 146)(148, 154, 164, 172, 182, 190, 192, 189, 179, 166, 163, 153)(150, 158, 170, 160, 173, 185, 191, 186, 175, 178, 169, 157)(152, 162, 174, 184, 176, 181, 188, 180, 167, 156, 168, 161)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1338
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.1335 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-2 * Y1, (Y2 * Y1)^4, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 29, 77, 125, 173, 34, 82, 130, 178, 45, 93, 141, 189, 31, 79, 127, 175, 44, 92, 140, 188, 41, 89, 137, 185, 30, 78, 126, 174, 15, 63, 111, 159, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 37, 85, 133, 181, 26, 74, 122, 170, 40, 88, 136, 184, 23, 71, 119, 167, 39, 87, 135, 183, 46, 94, 142, 190, 38, 86, 134, 182, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 27, 75, 123, 171, 43, 91, 139, 187, 47, 95, 143, 191, 33, 81, 129, 177, 16, 64, 112, 160, 32, 80, 128, 176, 21, 69, 117, 165, 36, 84, 132, 180, 19, 67, 115, 163, 11, 59, 107, 155)(6, 54, 102, 150, 17, 65, 113, 161, 35, 83, 131, 179, 48, 96, 144, 192, 42, 90, 138, 186, 25, 73, 121, 169, 9, 57, 105, 153, 24, 72, 120, 168, 14, 62, 110, 158, 28, 76, 124, 172, 12, 60, 108, 156, 18, 66, 114, 162)
	L = (1, 50)(2, 49)(3, 57)(4, 58)(5, 62)(6, 64)(7, 65)(8, 69)(9, 51)(10, 52)(11, 68)(12, 70)(13, 66)(14, 53)(15, 67)(16, 54)(17, 55)(18, 61)(19, 63)(20, 59)(21, 56)(22, 60)(23, 79)(24, 87)(25, 89)(26, 90)(27, 88)(28, 91)(29, 85)(30, 86)(31, 71)(32, 92)(33, 94)(34, 95)(35, 93)(36, 96)(37, 77)(38, 78)(39, 72)(40, 75)(41, 73)(42, 74)(43, 76)(44, 80)(45, 83)(46, 81)(47, 82)(48, 84)(97, 147)(98, 150)(99, 145)(100, 156)(101, 152)(102, 146)(103, 163)(104, 149)(105, 167)(106, 170)(107, 169)(108, 148)(109, 164)(110, 171)(111, 168)(112, 175)(113, 178)(114, 177)(115, 151)(116, 157)(117, 179)(118, 176)(119, 153)(120, 159)(121, 155)(122, 154)(123, 158)(124, 182)(125, 187)(126, 180)(127, 160)(128, 166)(129, 162)(130, 161)(131, 165)(132, 174)(133, 192)(134, 172)(135, 191)(136, 189)(137, 190)(138, 188)(139, 173)(140, 186)(141, 184)(142, 185)(143, 183)(144, 181)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1331
Transitivity :: VT+
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1336 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1)^3, Y3^-2 * Y1 * Y3^2 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 30, 78, 126, 174, 38, 86, 134, 182, 47, 95, 143, 191, 33, 81, 129, 177, 46, 94, 142, 190, 36, 84, 132, 180, 32, 80, 128, 176, 15, 63, 111, 159, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 40, 88, 136, 184, 28, 76, 124, 172, 44, 92, 140, 188, 23, 71, 119, 167, 43, 91, 139, 187, 26, 74, 122, 170, 42, 90, 138, 186, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 21, 69, 117, 165, 39, 87, 135, 183, 19, 67, 115, 163, 35, 83, 131, 179, 16, 64, 112, 160, 34, 82, 130, 178, 31, 79, 127, 175, 45, 93, 141, 189, 27, 75, 123, 171, 11, 59, 107, 155)(6, 54, 102, 150, 17, 65, 113, 161, 14, 62, 110, 158, 29, 77, 125, 173, 12, 60, 108, 156, 25, 73, 121, 169, 9, 57, 105, 153, 24, 72, 120, 168, 41, 89, 137, 185, 48, 96, 144, 192, 37, 85, 133, 181, 18, 66, 114, 162)
	L = (1, 50)(2, 49)(3, 57)(4, 58)(5, 62)(6, 64)(7, 65)(8, 69)(9, 51)(10, 52)(11, 74)(12, 76)(13, 73)(14, 53)(15, 75)(16, 54)(17, 55)(18, 84)(19, 86)(20, 83)(21, 56)(22, 85)(23, 81)(24, 91)(25, 61)(26, 59)(27, 63)(28, 60)(29, 93)(30, 88)(31, 92)(32, 90)(33, 71)(34, 94)(35, 68)(36, 66)(37, 70)(38, 67)(39, 96)(40, 78)(41, 95)(42, 80)(43, 72)(44, 79)(45, 77)(46, 82)(47, 89)(48, 87)(97, 147)(98, 150)(99, 145)(100, 156)(101, 152)(102, 146)(103, 163)(104, 149)(105, 167)(106, 166)(107, 169)(108, 148)(109, 164)(110, 175)(111, 161)(112, 177)(113, 159)(114, 179)(115, 151)(116, 157)(117, 185)(118, 154)(119, 153)(120, 182)(121, 155)(122, 180)(123, 187)(124, 178)(125, 184)(126, 183)(127, 158)(128, 189)(129, 160)(130, 172)(131, 162)(132, 170)(133, 190)(134, 168)(135, 174)(136, 173)(137, 165)(138, 192)(139, 171)(140, 191)(141, 176)(142, 181)(143, 188)(144, 186)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1332
Transitivity :: VT+
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1337 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y2^-2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y2^-2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y2^-2, Y3 * Y1^3 * Y3 * Y1^-3, Y1^12, Y2^12, Y2^3 * Y3 * Y2 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164)(10, 58, 106, 154, 22, 70, 118, 166)(11, 59, 107, 155, 24, 72, 120, 168)(13, 61, 109, 157, 28, 76, 124, 172)(14, 62, 110, 158, 30, 78, 126, 174)(15, 63, 111, 159, 32, 80, 128, 176)(17, 65, 113, 161, 27, 75, 123, 171)(18, 66, 114, 162, 34, 82, 130, 178)(19, 67, 115, 163, 29, 77, 125, 173)(21, 69, 117, 165, 26, 74, 122, 170)(23, 71, 119, 167, 38, 86, 134, 182)(25, 73, 121, 169, 40, 88, 136, 184)(31, 79, 127, 175, 42, 90, 138, 186)(33, 81, 129, 177, 45, 93, 141, 189)(35, 83, 131, 179, 37, 85, 133, 181)(36, 84, 132, 180, 43, 91, 139, 187)(39, 87, 135, 183, 48, 96, 144, 192)(41, 89, 137, 185, 46, 94, 142, 190)(44, 92, 140, 188, 47, 95, 143, 191)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 67)(10, 52)(11, 71)(12, 73)(13, 75)(14, 54)(15, 55)(16, 77)(17, 74)(18, 56)(19, 72)(20, 83)(21, 58)(22, 81)(23, 85)(24, 87)(25, 68)(26, 60)(27, 86)(28, 89)(29, 62)(30, 66)(31, 63)(32, 69)(33, 64)(34, 92)(35, 93)(36, 70)(37, 94)(38, 95)(39, 76)(40, 84)(41, 82)(42, 78)(43, 79)(44, 80)(45, 96)(46, 91)(47, 88)(48, 90)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 148)(106, 165)(107, 149)(108, 170)(109, 150)(110, 173)(111, 175)(112, 177)(113, 152)(114, 174)(115, 153)(116, 169)(117, 176)(118, 180)(119, 155)(120, 163)(121, 156)(122, 161)(123, 157)(124, 183)(125, 160)(126, 186)(127, 187)(128, 188)(129, 166)(130, 185)(131, 164)(132, 184)(133, 167)(134, 171)(135, 168)(136, 191)(137, 172)(138, 192)(139, 190)(140, 178)(141, 179)(142, 181)(143, 182)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1333
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1338 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y2^3 * Y3 * Y2^-3, Y3 * Y1^3 * Y3 * Y1^-3, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y1 * Y3 * Y2 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(9, 57, 105, 153, 18, 66, 114, 162)(10, 58, 106, 154, 13, 61, 109, 157)(11, 59, 107, 155, 22, 70, 118, 166)(14, 62, 110, 158, 23, 71, 119, 167)(15, 63, 111, 159, 28, 76, 124, 172)(17, 65, 113, 161, 29, 77, 125, 173)(19, 67, 115, 163, 31, 79, 127, 175)(20, 68, 116, 164, 32, 80, 128, 176)(21, 69, 117, 165, 34, 82, 130, 178)(24, 72, 120, 168, 35, 83, 131, 179)(25, 73, 121, 169, 37, 85, 133, 181)(26, 74, 122, 170, 38, 86, 134, 182)(27, 75, 123, 171, 40, 88, 136, 184)(30, 78, 126, 174, 42, 90, 138, 186)(33, 81, 129, 177, 44, 92, 140, 188)(36, 84, 132, 180, 46, 94, 142, 190)(39, 87, 135, 183, 47, 95, 143, 191)(41, 89, 137, 185, 45, 93, 141, 189)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 65)(9, 67)(10, 52)(11, 69)(12, 71)(13, 73)(14, 54)(15, 55)(16, 74)(17, 72)(18, 56)(19, 70)(20, 58)(21, 81)(22, 83)(23, 84)(24, 60)(25, 82)(26, 62)(27, 63)(28, 68)(29, 64)(30, 66)(31, 90)(32, 88)(33, 91)(34, 79)(35, 93)(36, 92)(37, 80)(38, 76)(39, 75)(40, 78)(41, 77)(42, 95)(43, 87)(44, 85)(45, 96)(46, 86)(47, 89)(48, 94)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 159)(104, 162)(105, 148)(106, 164)(107, 149)(108, 168)(109, 150)(110, 170)(111, 171)(112, 173)(113, 152)(114, 174)(115, 153)(116, 172)(117, 155)(118, 163)(119, 156)(120, 161)(121, 157)(122, 160)(123, 183)(124, 182)(125, 185)(126, 184)(127, 178)(128, 181)(129, 165)(130, 169)(131, 166)(132, 167)(133, 188)(134, 190)(135, 187)(136, 176)(137, 191)(138, 175)(139, 177)(140, 180)(141, 179)(142, 192)(143, 186)(144, 189)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.1334
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.1339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ 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, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-3 * Y1 * Y2^2, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 17, 65)(10, 58, 21, 69)(12, 60, 25, 73)(14, 62, 29, 77)(15, 63, 31, 79)(16, 64, 33, 81)(18, 66, 26, 74)(19, 67, 32, 80)(20, 68, 35, 83)(22, 70, 30, 78)(23, 71, 37, 85)(24, 72, 39, 87)(27, 75, 38, 86)(28, 76, 41, 89)(34, 82, 44, 92)(36, 84, 45, 93)(40, 88, 47, 95)(42, 90, 48, 96)(43, 91, 46, 94)(97, 145, 99, 147, 104, 152, 114, 162, 130, 178, 133, 181, 142, 190, 137, 185, 132, 180, 118, 166, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 122, 170, 136, 184, 127, 175, 139, 187, 131, 179, 138, 186, 126, 174, 110, 158, 102, 150)(103, 151, 111, 159, 128, 176, 140, 188, 144, 192, 135, 183, 124, 172, 109, 157, 123, 171, 117, 165, 121, 169, 112, 160)(105, 153, 115, 163, 125, 173, 113, 161, 120, 168, 107, 155, 119, 167, 134, 182, 143, 191, 141, 189, 129, 177, 116, 164)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|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, Y1^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 19, 67)(12, 60, 22, 70)(14, 62, 25, 73)(15, 63, 27, 75)(17, 65, 23, 71)(18, 66, 31, 79)(20, 68, 26, 74)(21, 69, 33, 81)(24, 72, 37, 85)(28, 76, 38, 86)(29, 77, 36, 84)(30, 78, 35, 83)(32, 80, 34, 82)(39, 87, 46, 94)(40, 88, 45, 93)(41, 89, 44, 92)(42, 90, 43, 91)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 126, 174, 136, 184, 143, 191, 138, 186, 128, 176, 116, 164, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 119, 167, 132, 180, 140, 188, 144, 192, 142, 190, 134, 182, 122, 170, 110, 158, 102, 150)(103, 151, 109, 157, 120, 168, 131, 179, 118, 166, 129, 177, 139, 187, 137, 185, 127, 175, 115, 163, 124, 172, 111, 159)(105, 153, 114, 162, 125, 173, 112, 160, 123, 171, 135, 183, 141, 189, 133, 181, 121, 169, 130, 178, 117, 165, 107, 155)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6 * Y3, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(14, 62, 31, 79)(16, 64, 34, 82)(17, 65, 30, 78)(18, 66, 21, 69)(20, 68, 39, 87)(23, 71, 43, 91)(25, 73, 35, 83)(26, 74, 44, 92)(28, 76, 46, 94)(29, 77, 41, 89)(32, 80, 40, 88)(33, 81, 42, 90)(36, 84, 47, 95)(37, 85, 48, 96)(38, 86, 45, 93)(97, 145, 99, 147, 106, 154, 121, 169, 124, 172, 108, 156, 100, 148, 107, 155, 122, 170, 128, 176, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 131, 179, 133, 181, 114, 162, 103, 151, 113, 161, 132, 180, 136, 184, 116, 164, 104, 152)(105, 153, 117, 165, 137, 185, 142, 190, 143, 191, 138, 186, 118, 166, 115, 163, 134, 182, 127, 175, 130, 178, 119, 167)(109, 157, 125, 173, 135, 183, 120, 168, 129, 177, 111, 159, 123, 171, 141, 189, 144, 192, 140, 188, 139, 187, 126, 174)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 122)(11, 99)(12, 101)(13, 123)(14, 124)(15, 126)(16, 132)(17, 102)(18, 104)(19, 117)(20, 133)(21, 115)(22, 105)(23, 138)(24, 140)(25, 128)(26, 106)(27, 109)(28, 110)(29, 141)(30, 111)(31, 142)(32, 121)(33, 139)(34, 143)(35, 136)(36, 112)(37, 116)(38, 137)(39, 144)(40, 131)(41, 134)(42, 119)(43, 129)(44, 120)(45, 125)(46, 127)(47, 130)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^3, Y2^6 * Y3, Y2^-3 * Y1 * Y2^3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 23, 71)(11, 59, 21, 69)(12, 60, 26, 74)(14, 62, 29, 77)(16, 64, 33, 81)(17, 65, 31, 79)(18, 66, 36, 84)(20, 68, 39, 87)(22, 70, 42, 90)(24, 72, 34, 82)(25, 73, 44, 92)(27, 75, 47, 95)(28, 76, 48, 96)(30, 78, 40, 88)(32, 80, 41, 89)(35, 83, 43, 91)(37, 85, 45, 93)(38, 86, 46, 94)(97, 145, 99, 147, 106, 154, 120, 168, 123, 171, 108, 156, 100, 148, 107, 155, 121, 169, 126, 174, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 130, 178, 133, 181, 114, 162, 103, 151, 113, 161, 131, 179, 136, 184, 116, 164, 104, 152)(105, 153, 115, 163, 134, 182, 143, 191, 129, 177, 137, 185, 117, 165, 132, 180, 144, 192, 125, 173, 139, 187, 118, 166)(109, 157, 124, 172, 141, 189, 119, 167, 138, 186, 127, 175, 122, 170, 142, 190, 135, 183, 140, 188, 128, 176, 111, 159)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 117)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 131)(17, 102)(18, 104)(19, 132)(20, 133)(21, 105)(22, 137)(23, 140)(24, 126)(25, 106)(26, 109)(27, 110)(28, 142)(29, 143)(30, 120)(31, 111)(32, 138)(33, 139)(34, 136)(35, 112)(36, 115)(37, 116)(38, 144)(39, 141)(40, 130)(41, 118)(42, 128)(43, 129)(44, 119)(45, 135)(46, 124)(47, 125)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2^-2 * Y1 * Y2^2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^5 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 20, 68)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 30, 78)(23, 71, 32, 80)(24, 72, 38, 86)(25, 73, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 33, 81)(39, 87, 44, 92)(40, 88, 45, 93)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(97, 145, 99, 147, 106, 154, 120, 168, 133, 181, 115, 163, 128, 176, 111, 159, 126, 174, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 124, 172, 109, 157, 119, 167, 105, 153, 117, 165, 134, 182, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 137, 185, 143, 191, 131, 179, 141, 189, 127, 175, 140, 188, 139, 187, 123, 171, 108, 156)(103, 151, 113, 161, 130, 178, 142, 190, 138, 186, 122, 170, 136, 184, 118, 166, 135, 183, 144, 192, 132, 180, 114, 162)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 135)(22, 105)(23, 136)(24, 137)(25, 106)(26, 109)(27, 110)(28, 138)(29, 139)(30, 140)(31, 111)(32, 141)(33, 142)(34, 112)(35, 115)(36, 116)(37, 143)(38, 144)(39, 117)(40, 119)(41, 120)(42, 124)(43, 125)(44, 126)(45, 128)(46, 129)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-2 * Y1)^2, Y2 * Y1 * Y2^-5 * Y1, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 16, 64)(17, 65, 31, 79)(18, 66, 35, 83)(21, 69, 30, 78)(23, 71, 37, 85)(24, 72, 33, 81)(25, 73, 36, 84)(27, 75, 34, 82)(28, 76, 32, 80)(29, 77, 38, 86)(39, 87, 44, 92)(40, 88, 47, 95)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(97, 145, 99, 147, 106, 154, 120, 168, 128, 176, 111, 159, 126, 174, 115, 163, 133, 181, 125, 173, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 119, 167, 105, 153, 117, 165, 109, 157, 124, 172, 134, 182, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 137, 185, 141, 189, 127, 175, 140, 188, 131, 179, 143, 191, 139, 187, 123, 171, 108, 156)(103, 151, 113, 161, 130, 178, 142, 190, 136, 184, 118, 166, 135, 183, 122, 170, 138, 186, 144, 192, 132, 180, 114, 162)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 127)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 135)(22, 105)(23, 136)(24, 137)(25, 106)(26, 109)(27, 110)(28, 138)(29, 139)(30, 140)(31, 111)(32, 141)(33, 142)(34, 112)(35, 115)(36, 116)(37, 143)(38, 144)(39, 117)(40, 119)(41, 120)(42, 124)(43, 125)(44, 126)(45, 128)(46, 129)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y3^2, Y2^-1 * Y1 * Y3^2 * Y2 * Y1, Y3^6, (Y2^2 * Y1)^2, Y3^3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 28, 76)(13, 61, 23, 71)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 38, 86)(18, 66, 22, 70)(19, 67, 29, 77)(20, 68, 25, 73)(24, 72, 41, 89)(26, 74, 47, 95)(31, 79, 40, 88)(33, 81, 42, 90)(34, 82, 48, 96)(35, 83, 44, 92)(36, 84, 45, 93)(37, 85, 46, 94)(39, 87, 43, 91)(97, 145, 99, 147, 108, 156, 129, 177, 111, 159, 117, 165, 136, 184, 123, 171, 116, 164, 132, 180, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 138, 186, 121, 169, 107, 155, 127, 175, 113, 161, 126, 174, 141, 189, 124, 172, 105, 153)(100, 148, 109, 157, 130, 178, 143, 191, 133, 181, 137, 185, 135, 183, 115, 163, 102, 150, 110, 158, 131, 179, 112, 160)(104, 152, 119, 167, 139, 187, 134, 182, 142, 190, 128, 176, 144, 192, 125, 173, 106, 154, 120, 168, 140, 188, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 130)(13, 117)(14, 99)(15, 133)(16, 129)(17, 125)(18, 131)(19, 101)(20, 102)(21, 137)(22, 139)(23, 107)(24, 103)(25, 142)(26, 138)(27, 115)(28, 140)(29, 105)(30, 106)(31, 144)(32, 141)(33, 143)(34, 136)(35, 108)(36, 110)(37, 116)(38, 113)(39, 114)(40, 135)(41, 132)(42, 134)(43, 127)(44, 118)(45, 120)(46, 126)(47, 123)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = C2 x ((C4 x S3) : C2) (small group id <96, 213>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (Y2^-2 * Y1)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-3, Y2^3 * Y1 * Y2^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 28, 76)(13, 61, 27, 75)(14, 62, 25, 73)(15, 63, 24, 72)(16, 64, 23, 71)(18, 66, 22, 70)(19, 67, 21, 69)(29, 77, 42, 90)(30, 78, 38, 86)(31, 79, 43, 91)(32, 80, 41, 89)(33, 81, 40, 88)(34, 82, 37, 85)(35, 83, 39, 87)(36, 84, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 126, 174, 133, 181, 116, 164, 111, 159, 122, 170, 138, 186, 132, 180, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 134, 182, 125, 173, 107, 155, 120, 168, 113, 161, 130, 178, 140, 188, 124, 172, 105, 153)(100, 148, 110, 158, 127, 175, 142, 190, 131, 179, 114, 162, 102, 150, 109, 157, 128, 176, 141, 189, 129, 177, 112, 160)(104, 152, 119, 167, 135, 183, 144, 192, 139, 187, 123, 171, 106, 154, 118, 166, 136, 184, 143, 191, 137, 185, 121, 169)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 121)(12, 127)(13, 122)(14, 99)(15, 102)(16, 101)(17, 119)(18, 116)(19, 129)(20, 112)(21, 135)(22, 113)(23, 103)(24, 106)(25, 105)(26, 110)(27, 107)(28, 137)(29, 139)(30, 141)(31, 138)(32, 108)(33, 133)(34, 136)(35, 115)(36, 142)(37, 131)(38, 143)(39, 130)(40, 117)(41, 125)(42, 128)(43, 124)(44, 144)(45, 132)(46, 126)(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) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = C2 x ((C4 x S3) : C2) (small group id <96, 213>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y2^2 * Y3^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1)^2, (Y1 * Y2^-1 * Y3^-1)^2, (Y2^-1 * Y3 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 28, 76)(12, 60, 26, 74)(13, 61, 25, 73)(14, 62, 27, 75)(15, 63, 23, 71)(16, 64, 22, 70)(17, 65, 24, 72)(19, 67, 30, 78)(20, 68, 29, 77)(31, 79, 40, 88)(32, 80, 48, 96)(33, 81, 42, 90)(34, 82, 46, 94)(35, 83, 45, 93)(36, 84, 44, 92)(37, 85, 43, 91)(38, 86, 47, 95)(39, 87, 41, 89)(97, 145, 99, 147, 108, 156, 129, 177, 137, 185, 117, 165, 136, 184, 124, 172, 144, 192, 134, 182, 112, 160, 101, 149)(98, 146, 103, 151, 118, 166, 138, 186, 128, 176, 107, 155, 127, 175, 114, 162, 135, 183, 143, 191, 122, 170, 105, 153)(100, 148, 111, 159, 102, 150, 116, 164, 130, 178, 115, 163, 132, 180, 109, 157, 131, 179, 110, 158, 133, 181, 113, 161)(104, 152, 121, 169, 106, 154, 126, 174, 139, 187, 125, 173, 141, 189, 119, 167, 140, 188, 120, 168, 142, 190, 123, 171)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 123)(12, 102)(13, 101)(14, 99)(15, 117)(16, 133)(17, 129)(18, 121)(19, 134)(20, 124)(21, 113)(22, 106)(23, 105)(24, 103)(25, 107)(26, 142)(27, 138)(28, 111)(29, 143)(30, 114)(31, 141)(32, 139)(33, 110)(34, 108)(35, 136)(36, 137)(37, 144)(38, 116)(39, 140)(40, 132)(41, 130)(42, 120)(43, 118)(44, 127)(45, 128)(46, 135)(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) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 20, 68)(13, 61, 19, 67)(14, 62, 21, 69)(15, 63, 23, 71)(16, 64, 22, 70)(17, 65, 24, 72)(25, 73, 33, 81)(26, 74, 35, 83)(27, 75, 34, 82)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 39, 87)(31, 79, 38, 86)(32, 80, 40, 88)(41, 89, 45, 93)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 137, 185, 125, 173, 110, 158, 124, 172, 140, 188, 128, 176, 113, 161, 101, 149)(98, 146, 103, 151, 114, 162, 129, 177, 141, 189, 133, 181, 117, 165, 132, 180, 144, 192, 136, 184, 120, 168, 105, 153)(100, 148, 109, 157, 122, 170, 139, 187, 127, 175, 112, 160, 102, 150, 108, 156, 123, 171, 138, 186, 126, 174, 111, 159)(104, 152, 116, 164, 130, 178, 143, 191, 135, 183, 119, 167, 106, 154, 115, 163, 131, 179, 142, 190, 134, 182, 118, 166)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 115)(8, 117)(9, 119)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 101)(16, 125)(17, 126)(18, 130)(19, 132)(20, 103)(21, 106)(22, 105)(23, 133)(24, 134)(25, 138)(26, 140)(27, 107)(28, 109)(29, 111)(30, 137)(31, 113)(32, 139)(33, 142)(34, 144)(35, 114)(36, 116)(37, 118)(38, 141)(39, 120)(40, 143)(41, 127)(42, 128)(43, 121)(44, 123)(45, 135)(46, 136)(47, 129)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1349 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: halfedge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = (C12 x C4) : C2 (small group id <96, 81>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, Y1^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 61, 13, 69, 21, 77, 29, 85, 37, 84, 36, 76, 28, 68, 20, 60, 12, 53, 5, 49)(3, 57, 9, 65, 17, 73, 25, 81, 33, 89, 41, 92, 44, 86, 38, 78, 30, 70, 22, 62, 14, 55, 7, 51)(4, 59, 11, 67, 19, 75, 27, 83, 35, 91, 43, 93, 45, 87, 39, 79, 31, 71, 23, 63, 15, 56, 8, 52)(10, 64, 16, 72, 24, 80, 32, 88, 40, 94, 46, 96, 48, 95, 47, 90, 42, 82, 34, 74, 26, 66, 18, 58)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 25)(21, 30)(23, 32)(27, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 41)(37, 44)(39, 46)(43, 47)(45, 48)(49, 52)(50, 56)(51, 58)(53, 59)(54, 63)(55, 64)(57, 66)(60, 67)(61, 71)(62, 72)(65, 74)(68, 75)(69, 79)(70, 80)(73, 82)(76, 83)(77, 87)(78, 88)(81, 90)(84, 91)(85, 93)(86, 94)(89, 95)(92, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1350 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 12})
Quotient :: edge^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = (C12 x C4) : C2 (small group id <96, 81>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^12, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 46, 94, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)(3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 47, 95, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58)(6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 44, 92, 48, 96, 45, 93, 38, 86, 30, 78, 22, 70, 14, 62)(97, 98)(99, 102)(100, 104)(101, 103)(105, 110)(106, 109)(107, 112)(108, 111)(113, 118)(114, 117)(115, 120)(116, 119)(121, 126)(122, 125)(123, 128)(124, 127)(129, 134)(130, 133)(131, 136)(132, 135)(137, 141)(138, 140)(139, 142)(143, 144)(145, 147)(146, 150)(148, 154)(149, 153)(151, 158)(152, 157)(155, 162)(156, 161)(159, 166)(160, 165)(163, 170)(164, 169)(167, 174)(168, 173)(171, 178)(172, 177)(175, 182)(176, 181)(179, 186)(180, 185)(183, 189)(184, 188)(187, 191)(190, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1351
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1351 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 12})
Quotient :: loop^2
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = (C12 x C4) : C2 (small group id <96, 81>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^12, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 11, 59, 107, 155, 19, 67, 115, 163, 27, 75, 123, 171, 35, 83, 131, 179, 43, 91, 139, 187, 36, 84, 132, 180, 28, 76, 124, 172, 20, 68, 116, 164, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 15, 63, 111, 159, 23, 71, 119, 167, 31, 79, 127, 175, 39, 87, 135, 183, 46, 94, 142, 190, 40, 88, 136, 184, 32, 80, 128, 176, 24, 72, 120, 168, 16, 64, 112, 160, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 17, 65, 113, 161, 25, 73, 121, 169, 33, 81, 129, 177, 41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 34, 82, 130, 178, 26, 74, 122, 170, 18, 66, 114, 162, 10, 58, 106, 154)(6, 54, 102, 150, 13, 61, 109, 157, 21, 69, 117, 165, 29, 77, 125, 173, 37, 85, 133, 181, 44, 92, 140, 188, 48, 96, 144, 192, 45, 93, 141, 189, 38, 86, 134, 182, 30, 78, 126, 174, 22, 70, 118, 166, 14, 62, 110, 158)
	L = (1, 50)(2, 49)(3, 54)(4, 56)(5, 55)(6, 51)(7, 53)(8, 52)(9, 62)(10, 61)(11, 64)(12, 63)(13, 58)(14, 57)(15, 60)(16, 59)(17, 70)(18, 69)(19, 72)(20, 71)(21, 66)(22, 65)(23, 68)(24, 67)(25, 78)(26, 77)(27, 80)(28, 79)(29, 74)(30, 73)(31, 76)(32, 75)(33, 86)(34, 85)(35, 88)(36, 87)(37, 82)(38, 81)(39, 84)(40, 83)(41, 93)(42, 92)(43, 94)(44, 90)(45, 89)(46, 91)(47, 96)(48, 95)(97, 147)(98, 150)(99, 145)(100, 154)(101, 153)(102, 146)(103, 158)(104, 157)(105, 149)(106, 148)(107, 162)(108, 161)(109, 152)(110, 151)(111, 166)(112, 165)(113, 156)(114, 155)(115, 170)(116, 169)(117, 160)(118, 159)(119, 174)(120, 173)(121, 164)(122, 163)(123, 178)(124, 177)(125, 168)(126, 167)(127, 182)(128, 181)(129, 172)(130, 171)(131, 186)(132, 185)(133, 176)(134, 175)(135, 189)(136, 188)(137, 180)(138, 179)(139, 191)(140, 184)(141, 183)(142, 192)(143, 187)(144, 190)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1350
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.1352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 x C2 (small group id <48, 44>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 13, 61)(10, 58, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 21, 69)(18, 66, 22, 70)(19, 67, 23, 71)(20, 68, 24, 72)(25, 73, 29, 77)(26, 74, 30, 78)(27, 75, 31, 79)(28, 76, 32, 80)(33, 81, 37, 85)(34, 82, 38, 86)(35, 83, 39, 87)(36, 84, 40, 88)(41, 89, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 140, 188, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 143, 191, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155)(103, 151, 110, 158, 118, 166, 126, 174, 134, 182, 141, 189, 144, 192, 142, 190, 135, 183, 127, 175, 119, 167, 111, 159)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 107)(6, 110)(7, 98)(8, 111)(9, 114)(10, 99)(11, 101)(12, 115)(13, 118)(14, 102)(15, 104)(16, 119)(17, 122)(18, 105)(19, 108)(20, 123)(21, 126)(22, 109)(23, 112)(24, 127)(25, 130)(26, 113)(27, 116)(28, 131)(29, 134)(30, 117)(31, 120)(32, 135)(33, 138)(34, 121)(35, 124)(36, 139)(37, 141)(38, 125)(39, 128)(40, 142)(41, 143)(42, 129)(43, 132)(44, 144)(45, 133)(46, 136)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 7, 55)(5, 53, 6, 54)(9, 57, 16, 64)(10, 58, 15, 63)(11, 59, 14, 62)(12, 60, 13, 61)(17, 65, 24, 72)(18, 66, 23, 71)(19, 67, 22, 70)(20, 68, 21, 69)(25, 73, 32, 80)(26, 74, 31, 79)(27, 75, 30, 78)(28, 76, 29, 77)(33, 81, 40, 88)(34, 82, 39, 87)(35, 83, 38, 86)(36, 84, 37, 85)(41, 89, 44, 92)(42, 90, 46, 94)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 140, 188, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)(100, 148, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 143, 191, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155)(103, 151, 110, 158, 118, 166, 126, 174, 134, 182, 141, 189, 144, 192, 142, 190, 135, 183, 127, 175, 119, 167, 111, 159)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 107)(6, 110)(7, 98)(8, 111)(9, 114)(10, 99)(11, 101)(12, 115)(13, 118)(14, 102)(15, 104)(16, 119)(17, 122)(18, 105)(19, 108)(20, 123)(21, 126)(22, 109)(23, 112)(24, 127)(25, 130)(26, 113)(27, 116)(28, 131)(29, 134)(30, 117)(31, 120)(32, 135)(33, 138)(34, 121)(35, 124)(36, 139)(37, 141)(38, 125)(39, 128)(40, 142)(41, 143)(42, 129)(43, 132)(44, 144)(45, 133)(46, 136)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^-4, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 39, 87)(28, 76, 41, 89)(29, 77, 37, 85)(30, 78, 42, 90)(31, 79, 35, 83)(32, 80, 40, 88)(33, 81, 36, 84)(34, 82, 38, 86)(43, 91, 48, 96)(44, 92, 47, 95)(45, 93, 46, 94)(97, 145, 99, 147, 107, 155, 123, 171, 110, 158, 126, 174, 140, 188, 130, 178, 114, 162, 127, 175, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 131, 179, 118, 166, 134, 182, 143, 191, 138, 186, 122, 170, 135, 183, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 139, 187, 128, 176, 141, 189, 129, 177, 113, 161, 102, 150, 109, 157, 125, 173, 111, 159)(104, 152, 116, 164, 132, 180, 142, 190, 136, 184, 144, 192, 137, 185, 121, 169, 106, 154, 117, 165, 133, 181, 119, 167)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 124)(12, 126)(13, 99)(14, 128)(15, 123)(16, 125)(17, 101)(18, 102)(19, 132)(20, 134)(21, 103)(22, 136)(23, 131)(24, 133)(25, 105)(26, 106)(27, 139)(28, 140)(29, 107)(30, 141)(31, 109)(32, 114)(33, 112)(34, 113)(35, 142)(36, 143)(37, 115)(38, 144)(39, 117)(40, 122)(41, 120)(42, 121)(43, 130)(44, 129)(45, 127)(46, 138)(47, 137)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y3)^2, Y2^-2 * Y1 * Y2^2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y2 * Y1 * Y2^2)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(15, 63, 24, 72)(16, 64, 25, 73)(18, 66, 27, 75)(19, 67, 28, 76)(29, 77, 37, 85)(30, 78, 44, 92)(31, 79, 40, 88)(32, 80, 39, 87)(33, 81, 43, 91)(34, 82, 42, 90)(35, 83, 41, 89)(36, 84, 38, 86)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 126, 174, 138, 186, 122, 170, 111, 159, 116, 164, 133, 181, 132, 180, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 134, 182, 130, 178, 113, 161, 120, 168, 107, 155, 125, 173, 140, 188, 124, 172, 105, 153)(100, 148, 110, 158, 127, 175, 142, 190, 131, 179, 114, 162, 102, 150, 109, 157, 128, 176, 141, 189, 129, 177, 112, 160)(104, 152, 119, 167, 135, 183, 144, 192, 139, 187, 123, 171, 106, 154, 118, 166, 136, 184, 143, 191, 137, 185, 121, 169)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 119)(12, 127)(13, 116)(14, 99)(15, 102)(16, 101)(17, 121)(18, 122)(19, 129)(20, 110)(21, 135)(22, 107)(23, 103)(24, 106)(25, 105)(26, 112)(27, 113)(28, 137)(29, 136)(30, 141)(31, 133)(32, 108)(33, 138)(34, 139)(35, 115)(36, 142)(37, 128)(38, 143)(39, 125)(40, 117)(41, 130)(42, 131)(43, 124)(44, 144)(45, 132)(46, 126)(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) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 22, 70)(13, 61, 23, 71)(14, 62, 21, 69)(15, 63, 19, 67)(16, 64, 20, 68)(17, 65, 18, 66)(25, 73, 40, 88)(26, 74, 39, 87)(27, 75, 38, 86)(28, 76, 37, 85)(29, 77, 36, 84)(30, 78, 35, 83)(31, 79, 34, 82)(32, 80, 33, 81)(41, 89, 48, 96)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 45, 93)(97, 145, 99, 147, 107, 155, 121, 169, 137, 185, 125, 173, 110, 158, 124, 172, 140, 188, 128, 176, 113, 161, 101, 149)(98, 146, 103, 151, 114, 162, 129, 177, 141, 189, 133, 181, 117, 165, 132, 180, 144, 192, 136, 184, 120, 168, 105, 153)(100, 148, 109, 157, 122, 170, 139, 187, 127, 175, 112, 160, 102, 150, 108, 156, 123, 171, 138, 186, 126, 174, 111, 159)(104, 152, 116, 164, 130, 178, 143, 191, 135, 183, 119, 167, 106, 154, 115, 163, 131, 179, 142, 190, 134, 182, 118, 166)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 115)(8, 117)(9, 119)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 101)(16, 125)(17, 126)(18, 130)(19, 132)(20, 103)(21, 106)(22, 105)(23, 133)(24, 134)(25, 138)(26, 140)(27, 107)(28, 109)(29, 111)(30, 137)(31, 113)(32, 139)(33, 142)(34, 144)(35, 114)(36, 116)(37, 118)(38, 141)(39, 120)(40, 143)(41, 127)(42, 128)(43, 121)(44, 123)(45, 135)(46, 136)(47, 129)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y3^-1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^5 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 23, 71)(12, 60, 20, 68)(13, 61, 25, 73)(14, 62, 22, 70)(15, 63, 19, 67)(16, 64, 26, 74)(17, 65, 21, 69)(18, 66, 24, 72)(27, 75, 42, 90)(28, 76, 39, 87)(29, 77, 38, 86)(30, 78, 37, 85)(31, 79, 36, 84)(32, 80, 41, 89)(33, 81, 40, 88)(34, 82, 35, 83)(43, 91, 48, 96)(44, 92, 47, 95)(45, 93, 46, 94)(97, 145, 99, 147, 107, 155, 123, 171, 139, 187, 128, 176, 140, 188, 129, 177, 141, 189, 130, 178, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 131, 179, 142, 190, 136, 184, 143, 191, 137, 185, 144, 192, 138, 186, 119, 167, 105, 153)(100, 148, 110, 158, 102, 150, 114, 162, 124, 172, 113, 161, 126, 174, 108, 156, 125, 173, 109, 157, 127, 175, 112, 160)(104, 152, 118, 166, 106, 154, 122, 170, 132, 180, 121, 169, 134, 182, 116, 164, 133, 181, 117, 165, 135, 183, 120, 168)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 116)(8, 119)(9, 121)(10, 98)(11, 102)(12, 101)(13, 99)(14, 128)(15, 127)(16, 123)(17, 130)(18, 129)(19, 106)(20, 105)(21, 103)(22, 136)(23, 135)(24, 131)(25, 138)(26, 137)(27, 109)(28, 107)(29, 140)(30, 139)(31, 141)(32, 112)(33, 110)(34, 114)(35, 117)(36, 115)(37, 143)(38, 142)(39, 144)(40, 120)(41, 118)(42, 122)(43, 124)(44, 126)(45, 125)(46, 132)(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) :: { ( 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 selfdual
Graph:: simple bipartite
	v = 28 e = 96 f = 28
	degree seq :: [ 4^24, 24^4 ]

E21.1358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y2 * Y3^4, Y1 * Y3^2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, (Y3^-1 * Y1)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 17, 65)(8, 56, 19, 67)(9, 57, 21, 69)(10, 58, 22, 70)(12, 60, 18, 66)(14, 62, 20, 68)(15, 63, 26, 74)(16, 64, 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, 45, 93)(41, 89, 46, 94)(42, 90, 47, 95)(43, 91, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 111, 159)(104, 152, 112, 160)(107, 155, 117, 165)(108, 156, 110, 158)(109, 157, 118, 166)(113, 161, 122, 170)(114, 162, 116, 164)(115, 163, 123, 171)(119, 167, 121, 169)(120, 168, 127, 175)(124, 172, 126, 174)(125, 173, 131, 179)(128, 176, 130, 178)(129, 177, 135, 183)(132, 180, 134, 182)(133, 181, 140, 188)(136, 184, 138, 186)(137, 185, 139, 187)(141, 189, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 111)(7, 114)(8, 98)(9, 110)(10, 99)(11, 119)(12, 106)(13, 120)(14, 101)(15, 116)(16, 102)(17, 124)(18, 112)(19, 125)(20, 104)(21, 121)(22, 127)(23, 118)(24, 107)(25, 109)(26, 126)(27, 131)(28, 123)(29, 113)(30, 115)(31, 117)(32, 136)(33, 137)(34, 138)(35, 122)(36, 141)(37, 142)(38, 143)(39, 139)(40, 135)(41, 128)(42, 129)(43, 130)(44, 144)(45, 140)(46, 132)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1367
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.1359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 17, 65)(12, 60, 19, 67)(13, 61, 18, 66)(14, 62, 22, 70)(15, 63, 21, 69)(16, 64, 20, 68)(23, 71, 29, 77)(24, 72, 31, 79)(25, 73, 30, 78)(26, 74, 34, 82)(27, 75, 33, 81)(28, 76, 32, 80)(35, 83, 40, 88)(36, 84, 42, 90)(37, 85, 41, 89)(38, 86, 44, 92)(39, 87, 43, 91)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 119, 167, 131, 179, 123, 171, 111, 159, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 136, 184, 129, 177, 117, 165, 105, 153)(100, 148, 108, 156, 120, 168, 132, 180, 141, 189, 134, 182, 122, 170, 110, 158)(102, 150, 109, 157, 121, 169, 133, 181, 142, 190, 135, 183, 124, 172, 112, 160)(104, 152, 114, 162, 126, 174, 137, 185, 143, 191, 139, 187, 128, 176, 116, 164)(106, 154, 115, 163, 127, 175, 138, 186, 144, 192, 140, 188, 130, 178, 118, 166)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 110)(6, 97)(7, 114)(8, 106)(9, 116)(10, 98)(11, 120)(12, 109)(13, 99)(14, 112)(15, 122)(16, 101)(17, 126)(18, 115)(19, 103)(20, 118)(21, 128)(22, 105)(23, 132)(24, 121)(25, 107)(26, 124)(27, 134)(28, 111)(29, 137)(30, 127)(31, 113)(32, 130)(33, 139)(34, 117)(35, 141)(36, 133)(37, 119)(38, 135)(39, 123)(40, 143)(41, 138)(42, 125)(43, 140)(44, 129)(45, 142)(46, 131)(47, 144)(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, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1365
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y2^-1, Y3^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^6, Y2^4 * Y3^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 19, 67)(12, 60, 21, 69)(13, 61, 20, 68)(14, 62, 26, 74)(15, 63, 25, 73)(16, 64, 24, 72)(17, 65, 23, 71)(18, 66, 22, 70)(27, 75, 38, 86)(28, 76, 40, 88)(29, 77, 39, 87)(30, 78, 42, 90)(31, 79, 41, 89)(32, 80, 43, 91)(33, 81, 48, 96)(34, 82, 47, 95)(35, 83, 46, 94)(36, 84, 45, 93)(37, 85, 44, 92)(97, 145, 99, 147, 107, 155, 123, 171, 128, 176, 131, 179, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 134, 182, 139, 187, 142, 190, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 133, 181, 114, 162, 127, 175, 130, 178, 111, 159)(102, 150, 109, 157, 125, 173, 129, 177, 110, 158, 126, 174, 132, 180, 113, 161)(104, 152, 116, 164, 135, 183, 144, 192, 122, 170, 138, 186, 141, 189, 119, 167)(106, 154, 117, 165, 136, 184, 140, 188, 118, 166, 137, 185, 143, 191, 121, 169)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 124)(12, 126)(13, 99)(14, 128)(15, 129)(16, 130)(17, 101)(18, 102)(19, 135)(20, 137)(21, 103)(22, 139)(23, 140)(24, 141)(25, 105)(26, 106)(27, 133)(28, 132)(29, 107)(30, 131)(31, 109)(32, 114)(33, 123)(34, 125)(35, 127)(36, 112)(37, 113)(38, 144)(39, 143)(40, 115)(41, 142)(42, 117)(43, 122)(44, 134)(45, 136)(46, 138)(47, 120)(48, 121)(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 E21.1366
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, Y2^4 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 17, 65)(13, 61, 18, 66)(19, 67, 24, 72)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 27, 75)(23, 71, 28, 76)(29, 77, 34, 82)(30, 78, 35, 83)(31, 79, 33, 81)(32, 80, 36, 84)(37, 85, 39, 87)(38, 86, 43, 91)(40, 88, 42, 90)(41, 89, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 104, 152, 98, 146, 102, 150, 110, 158, 101, 149)(100, 148, 107, 155, 115, 163, 113, 161, 103, 151, 112, 160, 120, 168, 108, 156)(106, 154, 116, 164, 114, 162, 122, 170, 111, 159, 121, 169, 109, 157, 117, 165)(118, 166, 127, 175, 124, 172, 132, 180, 123, 171, 129, 177, 119, 167, 128, 176)(125, 173, 133, 181, 131, 179, 139, 187, 130, 178, 135, 183, 126, 174, 134, 182)(136, 184, 141, 189, 140, 188, 144, 192, 138, 186, 143, 191, 137, 185, 142, 190)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 111)(7, 98)(8, 114)(9, 115)(10, 99)(11, 118)(12, 119)(13, 101)(14, 120)(15, 102)(16, 123)(17, 124)(18, 104)(19, 105)(20, 125)(21, 126)(22, 107)(23, 108)(24, 110)(25, 130)(26, 131)(27, 112)(28, 113)(29, 116)(30, 117)(31, 136)(32, 137)(33, 138)(34, 121)(35, 122)(36, 140)(37, 141)(38, 142)(39, 143)(40, 127)(41, 128)(42, 129)(43, 144)(44, 132)(45, 133)(46, 134)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1364
Graph:: bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 18, 66)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 24, 72)(25, 73, 33, 81)(26, 74, 35, 83)(27, 75, 34, 82)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 39, 87)(31, 79, 38, 86)(32, 80, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 117, 165, 103, 151, 116, 164, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 109, 157, 100, 148, 108, 156, 120, 168, 104, 152)(105, 153, 121, 169, 111, 159, 124, 172, 107, 155, 123, 171, 110, 158, 122, 170)(113, 161, 125, 173, 119, 167, 128, 176, 115, 163, 127, 175, 118, 166, 126, 174)(129, 177, 137, 185, 132, 180, 140, 188, 130, 178, 139, 187, 131, 179, 138, 186)(133, 181, 141, 189, 136, 184, 144, 192, 134, 182, 143, 191, 135, 183, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 120)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 114)(17, 108)(18, 112)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 106)(25, 130)(26, 132)(27, 129)(28, 131)(29, 134)(30, 136)(31, 133)(32, 135)(33, 123)(34, 121)(35, 124)(36, 122)(37, 127)(38, 125)(39, 128)(40, 126)(41, 143)(42, 144)(43, 141)(44, 142)(45, 139)(46, 140)(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, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1363
Graph:: bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-2 * Y3 * Y2 * Y1^-2, Y3 * Y1^3 * Y3 * Y1^-3, Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y1^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 33, 81, 41, 89, 46, 94, 27, 75, 39, 87, 44, 92, 24, 72, 10, 58, 3, 51, 7, 55, 16, 64, 34, 82, 45, 93, 26, 74, 38, 86, 42, 90, 48, 96, 32, 80, 14, 62, 5, 53)(4, 52, 11, 59, 25, 73, 35, 83, 37, 85, 18, 66, 30, 78, 13, 61, 29, 77, 36, 84, 17, 65, 22, 70, 9, 57, 21, 69, 31, 79, 40, 88, 20, 68, 8, 56, 19, 67, 23, 71, 43, 91, 47, 95, 28, 76, 12, 60)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 130, 178)(113, 161, 124, 172)(115, 163, 126, 174)(116, 164, 133, 181)(121, 169, 127, 175)(122, 170, 137, 185)(123, 171, 138, 186)(125, 173, 139, 187)(128, 176, 140, 188)(129, 177, 141, 189)(131, 179, 136, 184)(132, 180, 143, 191)(134, 182, 142, 190)(135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 122)(12, 123)(13, 101)(14, 127)(15, 131)(16, 124)(17, 102)(18, 103)(19, 134)(20, 135)(21, 137)(22, 138)(23, 106)(24, 121)(25, 120)(26, 107)(27, 108)(28, 112)(29, 141)(30, 142)(31, 110)(32, 143)(33, 139)(34, 136)(35, 111)(36, 140)(37, 144)(38, 115)(39, 116)(40, 130)(41, 117)(42, 118)(43, 129)(44, 132)(45, 125)(46, 126)(47, 128)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1362
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1^-2 * Y2 * Y1^-2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 27, 75, 42, 90, 29, 77, 43, 91, 48, 96, 45, 93, 28, 76, 10, 58, 21, 69, 38, 86, 47, 95, 46, 94, 26, 74, 41, 89, 30, 78, 44, 92, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 36, 84, 24, 72, 8, 56, 23, 71, 14, 62, 32, 80, 39, 87, 18, 66, 13, 61, 4, 52, 12, 60, 31, 79, 37, 85, 22, 70, 7, 55, 20, 68, 15, 63, 33, 81, 40, 88, 19, 67, 11, 59)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 125, 173)(108, 156, 123, 171)(109, 157, 126, 174)(111, 159, 124, 172)(112, 160, 127, 175)(113, 161, 132, 180)(115, 163, 134, 182)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(121, 169, 141, 189)(128, 176, 142, 190)(129, 177, 131, 179)(130, 178, 136, 184)(133, 181, 143, 191)(135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 126)(12, 122)(13, 125)(14, 124)(15, 101)(16, 121)(17, 133)(18, 134)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 112)(26, 108)(27, 105)(28, 110)(29, 109)(30, 107)(31, 141)(32, 131)(33, 142)(34, 135)(35, 128)(36, 143)(37, 113)(38, 114)(39, 130)(40, 144)(41, 119)(42, 116)(43, 120)(44, 118)(45, 127)(46, 129)(47, 132)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E21.1361
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^8, (Y2 * Y1^-4)^2, (Y1^-1 * Y3^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 33, 81, 40, 88, 28, 76, 15, 63, 4, 52, 9, 57, 21, 69, 35, 83, 46, 94, 44, 92, 32, 80, 18, 66, 6, 54, 10, 58, 22, 70, 36, 84, 43, 91, 31, 79, 17, 65, 5, 53)(3, 51, 11, 59, 25, 73, 34, 82, 47, 95, 41, 89, 29, 77, 16, 64, 12, 60, 24, 72, 20, 68, 37, 85, 48, 96, 42, 90, 30, 78, 27, 75, 14, 62, 8, 56, 23, 71, 38, 86, 45, 93, 39, 87, 26, 74, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 112, 160)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 120, 168)(106, 154, 107, 155)(109, 157, 111, 159)(113, 161, 126, 174)(114, 162, 123, 171)(115, 163, 130, 178)(117, 165, 121, 169)(118, 166, 119, 167)(122, 170, 128, 176)(124, 172, 125, 173)(127, 175, 135, 183)(129, 177, 141, 189)(131, 179, 134, 182)(132, 180, 133, 181)(136, 184, 138, 186)(137, 185, 140, 188)(139, 187, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 111)(6, 97)(7, 117)(8, 107)(9, 106)(10, 98)(11, 120)(12, 110)(13, 112)(14, 99)(15, 114)(16, 123)(17, 124)(18, 101)(19, 131)(20, 119)(21, 118)(22, 103)(23, 121)(24, 104)(25, 116)(26, 125)(27, 109)(28, 128)(29, 126)(30, 122)(31, 136)(32, 113)(33, 142)(34, 133)(35, 132)(36, 115)(37, 134)(38, 130)(39, 137)(40, 140)(41, 138)(42, 135)(43, 129)(44, 127)(45, 143)(46, 139)(47, 144)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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 E21.1359
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1), (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^4, Y1 * Y2 * Y1^-1 * Y3^-2 * Y2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^6, Y2 * Y1^-2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y1^-1 * Y3^3 * Y2 * Y3^-1 * Y1, R * Y3^-2 * Y2 * Y3^2 * R * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 6, 54, 10, 58, 22, 70, 32, 80, 20, 68, 28, 76, 43, 91, 47, 95, 36, 84, 46, 94, 48, 96, 37, 85, 15, 63, 27, 75, 39, 87, 16, 64, 4, 52, 9, 57, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 34, 82, 14, 62, 30, 78, 40, 88, 17, 65, 35, 83, 42, 90, 21, 69, 38, 86, 44, 92, 24, 72, 41, 89, 45, 93, 25, 73, 8, 56, 23, 71, 31, 79, 12, 60, 26, 74, 33, 81, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 122, 170)(106, 154, 120, 168)(107, 155, 123, 171)(109, 157, 128, 176)(111, 159, 131, 179)(112, 160, 134, 182)(114, 162, 137, 185)(115, 163, 130, 178)(116, 164, 121, 169)(118, 166, 136, 184)(119, 167, 135, 183)(124, 172, 138, 186)(125, 173, 139, 187)(126, 174, 142, 190)(127, 175, 143, 191)(129, 177, 144, 192)(132, 180, 140, 188)(133, 181, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 114)(8, 120)(9, 123)(10, 98)(11, 122)(12, 121)(13, 127)(14, 99)(15, 132)(16, 133)(17, 130)(18, 135)(19, 101)(20, 102)(21, 136)(22, 103)(23, 137)(24, 138)(25, 140)(26, 104)(27, 142)(28, 106)(29, 129)(30, 107)(31, 141)(32, 115)(33, 119)(34, 109)(35, 110)(36, 116)(37, 143)(38, 113)(39, 144)(40, 125)(41, 117)(42, 126)(43, 118)(44, 131)(45, 134)(46, 124)(47, 128)(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, 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 E21.1360
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C8 x S3 (small group id <48, 4>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y1, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3^2, Y3 * Y1^-3, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y3^-2 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^-1 * Y2^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 4, 52, 10, 58, 7, 55, 12, 60, 5, 53)(3, 51, 13, 61, 21, 69, 11, 59, 26, 74, 16, 64, 27, 75, 15, 63)(6, 54, 17, 65, 22, 70, 19, 67, 25, 73, 18, 66, 24, 72, 9, 57)(14, 62, 30, 78, 37, 85, 29, 77, 42, 90, 28, 76, 43, 91, 32, 80)(20, 68, 35, 83, 38, 86, 34, 82, 41, 89, 23, 71, 39, 87, 33, 81)(31, 79, 40, 88, 47, 95, 46, 94, 48, 96, 45, 93, 36, 84, 44, 92)(97, 145, 99, 147, 110, 158, 127, 175, 134, 182, 118, 166, 104, 152, 117, 165, 133, 181, 143, 191, 137, 185, 121, 169, 106, 154, 122, 170, 138, 186, 144, 192, 135, 183, 120, 168, 108, 156, 123, 171, 139, 187, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 136, 184, 128, 176, 112, 160, 100, 148, 113, 161, 129, 177, 142, 190, 126, 174, 111, 159, 103, 151, 115, 163, 131, 179, 141, 189, 125, 173, 109, 157, 101, 149, 114, 162, 130, 178, 140, 188, 124, 172, 107, 155)
	L = (1, 100)(2, 106)(3, 107)(4, 108)(5, 104)(6, 115)(7, 97)(8, 103)(9, 118)(10, 101)(11, 123)(12, 98)(13, 122)(14, 125)(15, 117)(16, 99)(17, 121)(18, 102)(19, 120)(20, 130)(21, 112)(22, 114)(23, 116)(24, 113)(25, 105)(26, 111)(27, 109)(28, 110)(29, 139)(30, 138)(31, 142)(32, 133)(33, 134)(34, 135)(35, 137)(36, 136)(37, 124)(38, 119)(39, 131)(40, 144)(41, 129)(42, 128)(43, 126)(44, 143)(45, 127)(46, 132)(47, 141)(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) :: { ( 4^16 ), ( 4^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1358
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 16^6, 48^2 ]

E21.1368 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, (Y3 * Y2)^3, Y1^-1 * Y2 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y1^2, Y2 * Y1 * 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, 50, 2, 54, 6, 66, 18, 86, 38, 75, 27, 92, 44, 83, 35, 61, 13, 73, 25, 91, 43, 80, 32, 95, 47, 82, 34, 96, 48, 78, 30, 58, 10, 70, 22, 88, 40, 79, 31, 94, 46, 76, 28, 65, 17, 53, 5, 49)(3, 57, 9, 68, 20, 90, 42, 71, 23, 55, 7, 69, 21, 87, 39, 77, 29, 89, 41, 67, 19, 64, 16, 85, 37, 93, 45, 84, 36, 62, 14, 52, 4, 60, 12, 81, 33, 63, 15, 74, 26, 56, 8, 72, 24, 59, 11, 51)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 31)(12, 34)(14, 18)(16, 35)(17, 36)(20, 43)(21, 44)(22, 45)(23, 46)(24, 48)(26, 38)(28, 41)(30, 42)(32, 39)(33, 40)(37, 47)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 80)(60, 75)(61, 77)(62, 79)(63, 78)(65, 69)(66, 87)(67, 88)(71, 95)(72, 92)(73, 93)(74, 94)(81, 91)(82, 89)(83, 90)(84, 96)(85, 86)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1369
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1369 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, (Y3 * Y2)^3, Y2 * Y1 * Y2 * Y1^3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, (Y3 * Y1^-1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, 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 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 83, 35, 75, 27, 65, 17, 53, 5, 49)(3, 57, 9, 67, 19, 63, 15, 71, 23, 55, 7, 69, 21, 59, 11, 51)(4, 60, 12, 68, 20, 64, 16, 74, 26, 56, 8, 72, 24, 62, 14, 52)(10, 70, 22, 84, 36, 79, 31, 88, 40, 76, 28, 86, 38, 78, 30, 58)(13, 73, 25, 85, 37, 82, 34, 90, 42, 80, 32, 89, 41, 81, 33, 61)(29, 91, 43, 94, 46, 93, 45, 96, 48, 87, 39, 95, 47, 92, 44, 77)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 18)(12, 32)(14, 34)(16, 33)(17, 21)(20, 37)(22, 39)(23, 35)(24, 41)(26, 42)(28, 43)(30, 45)(31, 44)(36, 46)(38, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 79)(60, 75)(61, 77)(62, 66)(63, 78)(65, 72)(67, 84)(69, 86)(71, 88)(73, 87)(74, 83)(80, 91)(81, 93)(82, 92)(85, 94)(89, 95)(90, 96)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1368
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1370 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-3 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^3 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y2 * Y3^-1 * Y2 * Y3)^2, (Y1 * Y3^-1 * Y2)^24 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 24, 72, 41, 89, 21, 69, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 15, 63, 33, 81, 12, 60, 26, 74, 8, 56)(3, 51, 10, 58, 30, 78, 16, 64, 34, 82, 13, 61, 32, 80, 11, 59)(6, 54, 19, 67, 38, 86, 25, 73, 42, 90, 22, 70, 40, 88, 20, 68)(9, 57, 27, 75, 43, 91, 31, 79, 45, 93, 29, 77, 44, 92, 28, 76)(18, 66, 35, 83, 46, 94, 39, 87, 48, 96, 37, 85, 47, 95, 36, 84)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 127)(109, 123)(110, 119)(112, 124)(113, 122)(115, 133)(116, 135)(118, 131)(121, 132)(126, 139)(128, 140)(129, 137)(130, 141)(134, 142)(136, 143)(138, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 174)(159, 164)(161, 176)(167, 182)(170, 184)(171, 181)(172, 183)(173, 179)(175, 180)(177, 186)(178, 185)(187, 190)(188, 191)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1373
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.1371 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-3 * Y1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y1 * Y2)^3, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3^24 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 25, 73, 44, 92, 21, 69, 43, 91, 20, 68, 6, 54, 19, 67, 41, 89, 31, 79, 46, 94, 22, 70, 45, 93, 28, 76, 9, 57, 27, 75, 47, 95, 24, 72, 48, 96, 29, 77, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 16, 64, 33, 81, 12, 60, 32, 80, 11, 59, 3, 51, 10, 58, 30, 78, 42, 90, 35, 83, 13, 61, 34, 82, 39, 87, 18, 66, 38, 86, 36, 84, 15, 63, 37, 85, 40, 88, 26, 74, 8, 56)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 127)(109, 123)(110, 126)(112, 124)(113, 130)(115, 136)(116, 138)(118, 134)(119, 137)(121, 135)(122, 141)(128, 139)(129, 144)(131, 142)(132, 143)(133, 140)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 180)(159, 164)(161, 170)(167, 191)(171, 184)(172, 186)(173, 182)(174, 185)(175, 183)(176, 189)(177, 188)(178, 187)(179, 192)(181, 190)
	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, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1372
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1372 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-3 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^3 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y2 * Y3^-1 * Y2 * Y3)^2, (Y1 * Y3^-1 * Y2)^24 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 24, 72, 120, 168, 41, 89, 137, 185, 21, 69, 117, 165, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 15, 63, 111, 159, 33, 81, 129, 177, 12, 60, 108, 156, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 16, 64, 112, 160, 34, 82, 130, 178, 13, 61, 109, 157, 32, 80, 128, 176, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 38, 86, 134, 182, 25, 73, 121, 169, 42, 90, 138, 186, 22, 70, 118, 166, 40, 88, 136, 184, 20, 68, 116, 164)(9, 57, 105, 153, 27, 75, 123, 171, 43, 91, 139, 187, 31, 79, 127, 175, 45, 93, 141, 189, 29, 77, 125, 173, 44, 92, 140, 188, 28, 76, 124, 172)(18, 66, 114, 162, 35, 83, 131, 179, 46, 94, 142, 190, 39, 87, 135, 183, 48, 96, 144, 192, 37, 85, 133, 181, 47, 95, 143, 191, 36, 84, 132, 180)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 79)(12, 52)(13, 75)(14, 71)(15, 53)(16, 76)(17, 74)(18, 54)(19, 85)(20, 87)(21, 55)(22, 83)(23, 62)(24, 56)(25, 84)(26, 65)(27, 61)(28, 64)(29, 58)(30, 91)(31, 59)(32, 92)(33, 89)(34, 93)(35, 70)(36, 73)(37, 67)(38, 94)(39, 68)(40, 95)(41, 81)(42, 96)(43, 78)(44, 80)(45, 82)(46, 86)(47, 88)(48, 90)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 174)(111, 164)(112, 149)(113, 176)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 182)(120, 155)(121, 152)(122, 184)(123, 181)(124, 183)(125, 179)(126, 158)(127, 180)(128, 161)(129, 186)(130, 185)(131, 173)(132, 175)(133, 171)(134, 167)(135, 172)(136, 170)(137, 178)(138, 177)(139, 190)(140, 191)(141, 192)(142, 187)(143, 188)(144, 189)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1371
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.1373 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-3 * Y1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y1 * Y2)^3, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3^24 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 25, 73, 121, 169, 44, 92, 140, 188, 21, 69, 117, 165, 43, 91, 139, 187, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 41, 89, 137, 185, 31, 79, 127, 175, 46, 94, 142, 190, 22, 70, 118, 166, 45, 93, 141, 189, 28, 76, 124, 172, 9, 57, 105, 153, 27, 75, 123, 171, 47, 95, 143, 191, 24, 72, 120, 168, 48, 96, 144, 192, 29, 77, 125, 173, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 16, 64, 112, 160, 33, 81, 129, 177, 12, 60, 108, 156, 32, 80, 128, 176, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 42, 90, 138, 186, 35, 83, 131, 179, 13, 61, 109, 157, 34, 82, 130, 178, 39, 87, 135, 183, 18, 66, 114, 162, 38, 86, 134, 182, 36, 84, 132, 180, 15, 63, 111, 159, 37, 85, 133, 181, 40, 88, 136, 184, 26, 74, 122, 170, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 79)(12, 52)(13, 75)(14, 78)(15, 53)(16, 76)(17, 82)(18, 54)(19, 88)(20, 90)(21, 55)(22, 86)(23, 89)(24, 56)(25, 87)(26, 93)(27, 61)(28, 64)(29, 58)(30, 62)(31, 59)(32, 91)(33, 96)(34, 65)(35, 94)(36, 95)(37, 92)(38, 70)(39, 73)(40, 67)(41, 71)(42, 68)(43, 80)(44, 85)(45, 74)(46, 83)(47, 84)(48, 81)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 180)(111, 164)(112, 149)(113, 170)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 191)(120, 155)(121, 152)(122, 161)(123, 184)(124, 186)(125, 182)(126, 185)(127, 183)(128, 189)(129, 188)(130, 187)(131, 192)(132, 158)(133, 190)(134, 173)(135, 175)(136, 171)(137, 174)(138, 172)(139, 178)(140, 177)(141, 176)(142, 181)(143, 167)(144, 179)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1370
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.1374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y2 * Y3^4, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 17, 65)(8, 56, 19, 67)(9, 57, 21, 69)(10, 58, 22, 70)(12, 60, 18, 66)(14, 62, 20, 68)(15, 63, 26, 74)(16, 64, 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)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 111, 159)(104, 152, 112, 160)(107, 155, 117, 165)(108, 156, 110, 158)(109, 157, 118, 166)(113, 161, 122, 170)(114, 162, 116, 164)(115, 163, 123, 171)(119, 167, 121, 169)(120, 168, 127, 175)(124, 172, 126, 174)(125, 173, 131, 179)(128, 176, 130, 178)(129, 177, 135, 183)(132, 180, 134, 182)(133, 181, 140, 188)(136, 184, 138, 186)(137, 185, 139, 187)(141, 189, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 111)(7, 114)(8, 98)(9, 110)(10, 99)(11, 119)(12, 106)(13, 120)(14, 101)(15, 116)(16, 102)(17, 124)(18, 112)(19, 125)(20, 104)(21, 121)(22, 127)(23, 118)(24, 107)(25, 109)(26, 126)(27, 131)(28, 123)(29, 113)(30, 115)(31, 117)(32, 136)(33, 137)(34, 138)(35, 122)(36, 141)(37, 142)(38, 143)(39, 139)(40, 135)(41, 128)(42, 129)(43, 130)(44, 144)(45, 140)(46, 132)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1383
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.1375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2, Y3^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-3 * Y1, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 19, 67)(9, 57, 24, 72)(12, 60, 20, 68)(13, 61, 29, 77)(14, 62, 27, 75)(15, 63, 32, 80)(17, 65, 25, 73)(18, 66, 34, 82)(21, 69, 38, 86)(22, 70, 36, 84)(23, 71, 41, 89)(26, 74, 43, 91)(28, 76, 37, 85)(30, 78, 40, 88)(31, 79, 39, 87)(33, 81, 44, 92)(35, 83, 42, 90)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 120, 168, 133, 181, 115, 163, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 112, 160, 124, 172, 107, 155, 121, 169, 105, 153)(100, 148, 109, 157, 126, 174, 139, 187, 143, 191, 132, 180, 129, 177, 111, 159)(102, 150, 110, 158, 127, 175, 137, 185, 144, 192, 134, 182, 131, 179, 114, 162)(104, 152, 117, 165, 135, 183, 130, 178, 141, 189, 123, 171, 138, 186, 119, 167)(106, 154, 118, 166, 136, 184, 128, 176, 142, 190, 125, 173, 140, 188, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 111)(6, 97)(7, 117)(8, 106)(9, 119)(10, 98)(11, 123)(12, 126)(13, 110)(14, 99)(15, 114)(16, 130)(17, 129)(18, 101)(19, 132)(20, 135)(21, 118)(22, 103)(23, 122)(24, 139)(25, 138)(26, 105)(27, 125)(28, 141)(29, 107)(30, 127)(31, 108)(32, 112)(33, 131)(34, 128)(35, 113)(36, 134)(37, 143)(38, 115)(39, 136)(40, 116)(41, 120)(42, 140)(43, 137)(44, 121)(45, 142)(46, 124)(47, 144)(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, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1381
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1 * Y2 * Y1, Y2^2 * Y1 * Y2^-2 * Y1, Y3^6, Y3^3 * Y2^4, Y1 * Y2 * Y3^-3 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1, Y3^2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 22, 70)(13, 61, 33, 81)(14, 62, 31, 79)(15, 63, 30, 78)(16, 64, 40, 88)(18, 66, 28, 76)(19, 67, 42, 90)(20, 68, 25, 73)(23, 71, 36, 84)(24, 72, 37, 85)(26, 74, 39, 87)(29, 77, 44, 92)(32, 80, 38, 86)(34, 82, 46, 94)(35, 83, 45, 93)(41, 89, 48, 96)(43, 91, 47, 95)(97, 145, 99, 147, 108, 156, 123, 171, 134, 182, 117, 165, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 113, 161, 128, 176, 107, 155, 124, 172, 105, 153)(100, 148, 109, 157, 130, 178, 140, 188, 116, 164, 133, 181, 137, 185, 112, 160)(102, 150, 110, 158, 131, 179, 135, 183, 111, 159, 132, 180, 139, 187, 115, 163)(104, 152, 119, 167, 141, 189, 138, 186, 126, 174, 127, 175, 143, 191, 122, 170)(106, 154, 120, 168, 142, 190, 136, 184, 121, 169, 129, 177, 144, 192, 125, 173)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 127)(12, 130)(13, 132)(14, 99)(15, 134)(16, 135)(17, 138)(18, 137)(19, 101)(20, 102)(21, 133)(22, 141)(23, 129)(24, 103)(25, 128)(26, 136)(27, 140)(28, 143)(29, 105)(30, 106)(31, 120)(32, 126)(33, 107)(34, 139)(35, 108)(36, 117)(37, 110)(38, 116)(39, 123)(40, 113)(41, 131)(42, 125)(43, 114)(44, 115)(45, 144)(46, 118)(47, 142)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1382
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^4 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 17, 65)(13, 61, 18, 66)(19, 67, 24, 72)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 27, 75)(23, 71, 28, 76)(29, 77, 34, 82)(30, 78, 35, 83)(31, 79, 33, 81)(32, 80, 36, 84)(37, 85, 39, 87)(38, 86, 43, 91)(40, 88, 42, 90)(41, 89, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 104, 152, 98, 146, 102, 150, 110, 158, 101, 149)(100, 148, 107, 155, 115, 163, 113, 161, 103, 151, 112, 160, 120, 168, 108, 156)(106, 154, 116, 164, 114, 162, 122, 170, 111, 159, 121, 169, 109, 157, 117, 165)(118, 166, 127, 175, 124, 172, 132, 180, 123, 171, 129, 177, 119, 167, 128, 176)(125, 173, 133, 181, 131, 179, 139, 187, 130, 178, 135, 183, 126, 174, 134, 182)(136, 184, 143, 191, 140, 188, 142, 190, 138, 186, 141, 189, 137, 185, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 111)(7, 98)(8, 114)(9, 115)(10, 99)(11, 118)(12, 119)(13, 101)(14, 120)(15, 102)(16, 123)(17, 124)(18, 104)(19, 105)(20, 125)(21, 126)(22, 107)(23, 108)(24, 110)(25, 130)(26, 131)(27, 112)(28, 113)(29, 116)(30, 117)(31, 136)(32, 137)(33, 138)(34, 121)(35, 122)(36, 140)(37, 141)(38, 142)(39, 143)(40, 127)(41, 128)(42, 129)(43, 144)(44, 132)(45, 133)(46, 134)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1380
Graph:: bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y3 * Y2^-3, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 18, 66)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 24, 72)(25, 73, 33, 81)(26, 74, 35, 83)(27, 75, 34, 82)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 39, 87)(31, 79, 38, 86)(32, 80, 40, 88)(41, 89, 47, 95)(42, 90, 48, 96)(43, 91, 45, 93)(44, 92, 46, 94)(97, 145, 99, 147, 106, 154, 117, 165, 103, 151, 116, 164, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 109, 157, 100, 148, 108, 156, 120, 168, 104, 152)(105, 153, 121, 169, 111, 159, 124, 172, 107, 155, 123, 171, 110, 158, 122, 170)(113, 161, 125, 173, 119, 167, 128, 176, 115, 163, 127, 175, 118, 166, 126, 174)(129, 177, 137, 185, 132, 180, 140, 188, 130, 178, 139, 187, 131, 179, 138, 186)(133, 181, 141, 189, 136, 184, 144, 192, 134, 182, 143, 191, 135, 183, 142, 190)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 120)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 114)(17, 108)(18, 112)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 106)(25, 130)(26, 132)(27, 129)(28, 131)(29, 134)(30, 136)(31, 133)(32, 135)(33, 123)(34, 121)(35, 124)(36, 122)(37, 127)(38, 125)(39, 128)(40, 126)(41, 141)(42, 142)(43, 143)(44, 144)(45, 137)(46, 138)(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) :: { ( 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 E21.1379
Graph:: bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1^2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-5, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 33, 81, 26, 74, 38, 86, 42, 90, 48, 96, 44, 92, 24, 72, 10, 58, 3, 51, 7, 55, 16, 64, 34, 82, 47, 95, 41, 89, 45, 93, 27, 75, 39, 87, 32, 80, 14, 62, 5, 53)(4, 52, 11, 59, 25, 73, 40, 88, 20, 68, 8, 56, 19, 67, 23, 71, 43, 91, 36, 84, 17, 65, 22, 70, 9, 57, 21, 69, 31, 79, 35, 83, 37, 85, 18, 66, 30, 78, 13, 61, 29, 77, 46, 94, 28, 76, 12, 60)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 130, 178)(113, 161, 124, 172)(115, 163, 126, 174)(116, 164, 133, 181)(121, 169, 127, 175)(122, 170, 137, 185)(123, 171, 138, 186)(125, 173, 139, 187)(128, 176, 140, 188)(129, 177, 143, 191)(131, 179, 136, 184)(132, 180, 142, 190)(134, 182, 141, 189)(135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 122)(12, 123)(13, 101)(14, 127)(15, 131)(16, 124)(17, 102)(18, 103)(19, 134)(20, 135)(21, 137)(22, 138)(23, 106)(24, 121)(25, 120)(26, 107)(27, 108)(28, 112)(29, 129)(30, 141)(31, 110)(32, 132)(33, 125)(34, 136)(35, 111)(36, 128)(37, 144)(38, 115)(39, 116)(40, 130)(41, 117)(42, 118)(43, 143)(44, 142)(45, 126)(46, 140)(47, 139)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1378
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 26, 74, 41, 89, 30, 78, 44, 92, 48, 96, 45, 93, 28, 76, 10, 58, 21, 69, 38, 86, 47, 95, 46, 94, 27, 75, 42, 90, 29, 77, 43, 91, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 37, 85, 22, 70, 7, 55, 20, 68, 15, 63, 33, 81, 39, 87, 18, 66, 13, 61, 4, 52, 12, 60, 31, 79, 36, 84, 24, 72, 8, 56, 23, 71, 14, 62, 32, 80, 40, 88, 19, 67, 11, 59)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 125, 173)(108, 156, 123, 171)(109, 157, 126, 174)(111, 159, 124, 172)(112, 160, 127, 175)(113, 161, 132, 180)(115, 163, 134, 182)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(121, 169, 141, 189)(128, 176, 131, 179)(129, 177, 142, 190)(130, 178, 135, 183)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 126)(12, 122)(13, 125)(14, 124)(15, 101)(16, 121)(17, 133)(18, 134)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 112)(26, 108)(27, 105)(28, 110)(29, 109)(30, 107)(31, 141)(32, 142)(33, 131)(34, 136)(35, 129)(36, 143)(37, 113)(38, 114)(39, 144)(40, 130)(41, 119)(42, 116)(43, 120)(44, 118)(45, 127)(46, 128)(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) :: { ( 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 E21.1377
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y1^-1, Y3), (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y1^2 * Y2 * Y3^-1 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 43, 91, 28, 76, 36, 84, 15, 63, 4, 52, 9, 57, 21, 69, 44, 92, 48, 96, 47, 95, 42, 90, 18, 66, 6, 54, 10, 58, 22, 70, 32, 80, 46, 94, 41, 89, 17, 65, 5, 53)(3, 51, 11, 59, 27, 75, 38, 86, 25, 73, 8, 56, 23, 71, 31, 79, 12, 60, 29, 77, 20, 68, 35, 83, 45, 93, 24, 72, 40, 88, 34, 82, 14, 62, 30, 78, 39, 87, 16, 64, 37, 85, 26, 74, 33, 81, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 112, 160)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 122, 170)(106, 154, 120, 168)(107, 155, 124, 172)(109, 157, 128, 176)(111, 159, 131, 179)(113, 161, 136, 184)(114, 162, 134, 182)(115, 163, 130, 178)(117, 165, 123, 171)(118, 166, 135, 183)(119, 167, 132, 180)(121, 169, 142, 190)(125, 173, 137, 185)(126, 174, 143, 191)(127, 175, 140, 188)(129, 177, 138, 186)(133, 181, 139, 187)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 111)(6, 97)(7, 117)(8, 120)(9, 106)(10, 98)(11, 125)(12, 110)(13, 127)(14, 99)(15, 114)(16, 134)(17, 132)(18, 101)(19, 140)(20, 135)(21, 118)(22, 103)(23, 136)(24, 122)(25, 141)(26, 104)(27, 116)(28, 143)(29, 126)(30, 107)(31, 130)(32, 115)(33, 119)(34, 109)(35, 112)(36, 138)(37, 121)(38, 131)(39, 123)(40, 129)(41, 124)(42, 113)(43, 144)(44, 128)(45, 133)(46, 139)(47, 137)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1375
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3 * Y1^4, Y3 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 6, 54, 10, 58, 22, 70, 39, 87, 20, 68, 26, 74, 41, 89, 48, 96, 33, 81, 44, 92, 47, 95, 34, 82, 15, 63, 25, 73, 35, 83, 16, 64, 4, 52, 9, 57, 18, 66, 5, 53)(3, 51, 11, 59, 27, 75, 31, 79, 14, 62, 8, 56, 23, 71, 42, 90, 32, 80, 24, 72, 21, 69, 40, 88, 46, 94, 43, 91, 38, 86, 36, 84, 29, 77, 45, 93, 37, 85, 17, 65, 12, 60, 28, 76, 30, 78, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 120, 168)(106, 154, 107, 155)(109, 157, 112, 160)(111, 159, 128, 176)(114, 162, 134, 182)(115, 163, 132, 180)(116, 164, 125, 173)(118, 166, 119, 167)(121, 169, 139, 187)(122, 170, 124, 172)(123, 171, 137, 185)(126, 174, 143, 191)(127, 175, 130, 178)(129, 177, 142, 190)(131, 179, 133, 181)(135, 183, 136, 184)(138, 186, 144, 192)(140, 188, 141, 189)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 114)(8, 107)(9, 121)(10, 98)(11, 124)(12, 125)(13, 113)(14, 99)(15, 129)(16, 130)(17, 132)(18, 131)(19, 101)(20, 102)(21, 119)(22, 103)(23, 123)(24, 104)(25, 140)(26, 106)(27, 126)(28, 141)(29, 142)(30, 133)(31, 109)(32, 110)(33, 116)(34, 144)(35, 143)(36, 136)(37, 134)(38, 117)(39, 115)(40, 138)(41, 118)(42, 127)(43, 120)(44, 122)(45, 139)(46, 128)(47, 137)(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, 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 E21.1376
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 5>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y1, (Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^2, (Y2^-1 * Y1^-1)^2, Y3 * Y1^-3, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^2, (R * Y1)^2, Y2 * Y3^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 4, 52, 10, 58, 7, 55, 12, 60, 5, 53)(3, 51, 13, 61, 21, 69, 11, 59, 26, 74, 16, 64, 27, 75, 15, 63)(6, 54, 17, 65, 22, 70, 19, 67, 25, 73, 18, 66, 24, 72, 9, 57)(14, 62, 30, 78, 37, 85, 29, 77, 42, 90, 28, 76, 43, 91, 32, 80)(20, 68, 35, 83, 38, 86, 34, 82, 41, 89, 23, 71, 39, 87, 33, 81)(31, 79, 46, 94, 36, 84, 45, 93, 47, 95, 40, 88, 48, 96, 44, 92)(97, 145, 99, 147, 110, 158, 127, 175, 135, 183, 120, 168, 108, 156, 123, 171, 139, 187, 144, 192, 137, 185, 121, 169, 106, 154, 122, 170, 138, 186, 143, 191, 134, 182, 118, 166, 104, 152, 117, 165, 133, 181, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 136, 184, 125, 173, 109, 157, 101, 149, 114, 162, 130, 178, 141, 189, 126, 174, 111, 159, 103, 151, 115, 163, 131, 179, 142, 190, 128, 176, 112, 160, 100, 148, 113, 161, 129, 177, 140, 188, 124, 172, 107, 155)
	L = (1, 100)(2, 106)(3, 107)(4, 108)(5, 104)(6, 115)(7, 97)(8, 103)(9, 118)(10, 101)(11, 123)(12, 98)(13, 122)(14, 125)(15, 117)(16, 99)(17, 121)(18, 102)(19, 120)(20, 130)(21, 112)(22, 114)(23, 116)(24, 113)(25, 105)(26, 111)(27, 109)(28, 110)(29, 139)(30, 138)(31, 141)(32, 133)(33, 134)(34, 135)(35, 137)(36, 136)(37, 124)(38, 119)(39, 131)(40, 127)(41, 129)(42, 128)(43, 126)(44, 132)(45, 144)(46, 143)(47, 140)(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 ), ( 4^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1374
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 16^6, 48^2 ]

E21.1384 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
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, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y3 * Y2)^3, Y1^-1 * Y2 * Y1 * Y3 * Y1^-2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y3, Y1^19 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 85, 37, 79, 31, 93, 45, 82, 34, 61, 13, 73, 25, 89, 41, 75, 27, 90, 42, 78, 30, 92, 44, 77, 29, 58, 10, 70, 22, 87, 39, 81, 33, 94, 46, 83, 35, 65, 17, 53, 5, 49)(3, 57, 9, 74, 26, 56, 8, 72, 24, 64, 16, 84, 36, 95, 47, 76, 28, 86, 38, 71, 23, 55, 7, 69, 21, 63, 15, 68, 20, 62, 14, 52, 4, 60, 12, 80, 32, 91, 43, 96, 48, 88, 40, 67, 19, 59, 11, 51)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 28)(11, 30)(12, 33)(14, 35)(16, 34)(17, 26)(18, 38)(20, 41)(21, 42)(22, 43)(23, 44)(24, 46)(29, 40)(31, 47)(32, 45)(36, 39)(37, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 66)(59, 79)(60, 75)(61, 76)(62, 78)(63, 77)(65, 80)(67, 87)(69, 85)(71, 93)(72, 90)(73, 91)(74, 92)(81, 86)(82, 88)(83, 95)(84, 89)(94, 96)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1386
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1385 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
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, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-4 * Y2 * Y3, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y1^-2 * Y2 * Y1, (Y3 * Y1^-2)^2, (Y2 * Y1^2)^2, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 58, 10, 70, 22, 87, 39, 81, 33, 94, 46, 84, 36, 96, 48, 75, 27, 89, 41, 78, 30, 92, 44, 76, 28, 90, 42, 79, 31, 93, 45, 83, 35, 61, 13, 73, 25, 65, 17, 53, 5, 49)(3, 57, 9, 68, 20, 62, 14, 52, 4, 60, 12, 80, 32, 91, 43, 82, 34, 86, 38, 71, 23, 55, 7, 69, 21, 63, 15, 74, 26, 56, 8, 72, 24, 64, 16, 85, 37, 95, 47, 77, 29, 88, 40, 67, 19, 59, 11, 51)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 30)(12, 33)(14, 36)(16, 35)(17, 20)(18, 38)(21, 41)(22, 43)(23, 44)(24, 46)(26, 48)(28, 40)(31, 47)(32, 45)(34, 42)(37, 39)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 79)(60, 75)(61, 82)(62, 78)(63, 66)(65, 80)(67, 87)(69, 90)(71, 93)(72, 89)(73, 95)(74, 92)(77, 94)(81, 86)(83, 88)(84, 91)(85, 96)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1387
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1386 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
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, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-3, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, (Y3 * Y2)^3, (Y3 * Y1^-2)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, 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^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 83, 35, 78, 30, 65, 17, 53, 5, 49)(3, 57, 9, 71, 23, 55, 7, 69, 21, 63, 15, 67, 19, 59, 11, 51)(4, 60, 12, 74, 26, 56, 8, 72, 24, 64, 16, 68, 20, 62, 14, 52)(10, 70, 22, 84, 36, 75, 27, 86, 38, 79, 31, 88, 40, 77, 29, 58)(13, 73, 25, 85, 37, 80, 32, 89, 41, 82, 34, 90, 42, 81, 33, 61)(28, 91, 43, 96, 48, 87, 39, 95, 47, 93, 45, 94, 46, 92, 44, 76)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 18)(10, 28)(11, 30)(12, 32)(14, 34)(16, 33)(17, 23)(20, 37)(21, 35)(22, 39)(24, 41)(26, 42)(27, 43)(29, 45)(31, 44)(36, 46)(38, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 75)(59, 79)(60, 66)(61, 76)(62, 78)(63, 77)(65, 74)(67, 84)(69, 86)(71, 88)(72, 83)(73, 87)(80, 91)(81, 93)(82, 92)(85, 94)(89, 95)(90, 96)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1384
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1387 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
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, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y2 * Y1)^4, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, (Y1^2 * Y3 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 84, 36, 78, 30, 65, 17, 53, 5, 49)(3, 57, 9, 71, 23, 55, 7, 69, 21, 63, 15, 67, 19, 59, 11, 51)(4, 60, 12, 74, 26, 56, 8, 72, 24, 64, 16, 68, 20, 62, 14, 52)(10, 70, 22, 85, 37, 75, 27, 87, 39, 79, 31, 89, 41, 77, 29, 58)(13, 73, 25, 86, 38, 80, 32, 90, 42, 83, 35, 92, 44, 82, 34, 61)(28, 93, 45, 96, 48, 88, 40, 81, 33, 94, 46, 95, 47, 91, 43, 76)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 18)(10, 28)(11, 30)(12, 32)(14, 35)(16, 34)(17, 23)(20, 38)(21, 36)(22, 40)(24, 42)(26, 44)(27, 45)(29, 46)(31, 43)(33, 39)(37, 47)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 75)(59, 79)(60, 66)(61, 81)(62, 78)(63, 77)(65, 74)(67, 85)(69, 87)(71, 89)(72, 84)(73, 91)(76, 90)(80, 94)(82, 93)(83, 88)(86, 96)(92, 95)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1385
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1388 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-3 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3^2 * Y1)^2, (Y2 * Y1)^3, (Y3^2 * Y2)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 21, 69, 41, 89, 24, 72, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 12, 60, 33, 81, 15, 63, 26, 74, 8, 56)(3, 51, 10, 58, 30, 78, 13, 61, 34, 82, 16, 64, 32, 80, 11, 59)(6, 54, 19, 67, 38, 86, 22, 70, 42, 90, 25, 73, 40, 88, 20, 68)(9, 57, 27, 75, 43, 91, 29, 77, 45, 93, 31, 79, 44, 92, 28, 76)(18, 66, 35, 83, 46, 94, 37, 85, 48, 96, 39, 87, 47, 95, 36, 84)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 127)(109, 123)(110, 122)(112, 124)(113, 119)(115, 133)(116, 135)(118, 131)(121, 132)(126, 140)(128, 139)(129, 137)(130, 141)(134, 143)(136, 142)(138, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 176)(159, 164)(161, 174)(167, 184)(170, 182)(171, 181)(172, 183)(173, 179)(175, 180)(177, 186)(178, 185)(187, 191)(188, 190)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1394
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.1389 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^3 * Y2 * Y3^-1 * Y2, Y3^-2 * Y1 * Y3 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y2 * Y3)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^12 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 21, 69, 43, 91, 24, 72, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 12, 60, 34, 82, 15, 63, 26, 74, 8, 56)(3, 51, 10, 58, 31, 79, 13, 61, 35, 83, 16, 64, 33, 81, 11, 59)(6, 54, 19, 67, 40, 88, 22, 70, 44, 92, 25, 73, 42, 90, 20, 68)(9, 57, 28, 76, 45, 93, 30, 78, 36, 84, 32, 80, 46, 94, 29, 77)(18, 66, 37, 85, 47, 95, 39, 87, 27, 75, 41, 89, 48, 96, 38, 86)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 126)(107, 128)(109, 124)(110, 122)(112, 125)(113, 119)(115, 135)(116, 137)(118, 133)(121, 134)(123, 140)(127, 142)(129, 141)(130, 139)(131, 132)(136, 144)(138, 143)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 165)(155, 168)(156, 163)(158, 177)(159, 164)(161, 175)(162, 180)(167, 186)(170, 184)(172, 182)(173, 181)(174, 185)(176, 183)(178, 188)(179, 187)(189, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1395
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.1390 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^3 * Y1 * Y3^-1 * Y2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3^-3 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y3^-2 * Y2)^2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 29, 77, 47, 95, 31, 79, 42, 90, 20, 68, 6, 54, 19, 67, 40, 88, 21, 69, 43, 91, 24, 72, 46, 94, 28, 76, 9, 57, 27, 75, 45, 93, 22, 70, 44, 92, 25, 73, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 39, 87, 48, 96, 41, 89, 32, 80, 11, 59, 3, 51, 10, 58, 30, 78, 12, 60, 33, 81, 15, 63, 36, 84, 38, 86, 18, 66, 37, 85, 35, 83, 13, 61, 34, 82, 16, 64, 26, 74, 8, 56)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 127)(109, 123)(110, 122)(112, 124)(113, 119)(115, 135)(116, 137)(118, 133)(121, 134)(126, 142)(128, 141)(129, 139)(130, 143)(131, 138)(132, 136)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 176)(159, 164)(161, 174)(167, 186)(170, 184)(171, 183)(172, 185)(173, 181)(175, 182)(177, 188)(178, 187)(179, 190)(180, 189)(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, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1392
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1391 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3^-4, Y3 * Y1 * Y3^-2 * Y2 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-3 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 29, 77, 9, 57, 28, 76, 47, 95, 22, 70, 46, 94, 25, 73, 45, 93, 21, 69, 44, 92, 24, 72, 48, 96, 30, 78, 38, 86, 31, 79, 43, 91, 20, 68, 6, 54, 19, 67, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 40, 88, 18, 66, 39, 87, 36, 84, 13, 61, 35, 83, 16, 64, 34, 82, 12, 60, 33, 81, 15, 63, 37, 85, 41, 89, 27, 75, 42, 90, 32, 80, 11, 59, 3, 51, 10, 58, 26, 74, 8, 56)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 126)(107, 127)(109, 124)(110, 122)(112, 125)(113, 119)(115, 137)(116, 138)(118, 135)(121, 136)(123, 142)(128, 143)(129, 140)(130, 144)(131, 134)(132, 139)(133, 141)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 165)(155, 168)(156, 163)(158, 176)(159, 164)(161, 170)(162, 182)(167, 187)(172, 184)(173, 183)(174, 186)(175, 185)(177, 190)(178, 189)(179, 188)(180, 192)(181, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1393
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1392 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-3 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3^2 * Y1)^2, (Y2 * Y1)^3, (Y3^2 * Y2)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 21, 69, 117, 165, 41, 89, 137, 185, 24, 72, 120, 168, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 12, 60, 108, 156, 33, 81, 129, 177, 15, 63, 111, 159, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 13, 61, 109, 157, 34, 82, 130, 178, 16, 64, 112, 160, 32, 80, 128, 176, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 38, 86, 134, 182, 22, 70, 118, 166, 42, 90, 138, 186, 25, 73, 121, 169, 40, 88, 136, 184, 20, 68, 116, 164)(9, 57, 105, 153, 27, 75, 123, 171, 43, 91, 139, 187, 29, 77, 125, 173, 45, 93, 141, 189, 31, 79, 127, 175, 44, 92, 140, 188, 28, 76, 124, 172)(18, 66, 114, 162, 35, 83, 131, 179, 46, 94, 142, 190, 37, 85, 133, 181, 48, 96, 144, 192, 39, 87, 135, 183, 47, 95, 143, 191, 36, 84, 132, 180)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 79)(12, 52)(13, 75)(14, 74)(15, 53)(16, 76)(17, 71)(18, 54)(19, 85)(20, 87)(21, 55)(22, 83)(23, 65)(24, 56)(25, 84)(26, 62)(27, 61)(28, 64)(29, 58)(30, 92)(31, 59)(32, 91)(33, 89)(34, 93)(35, 70)(36, 73)(37, 67)(38, 95)(39, 68)(40, 94)(41, 81)(42, 96)(43, 80)(44, 78)(45, 82)(46, 88)(47, 86)(48, 90)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 176)(111, 164)(112, 149)(113, 174)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 184)(120, 155)(121, 152)(122, 182)(123, 181)(124, 183)(125, 179)(126, 161)(127, 180)(128, 158)(129, 186)(130, 185)(131, 173)(132, 175)(133, 171)(134, 170)(135, 172)(136, 167)(137, 178)(138, 177)(139, 191)(140, 190)(141, 192)(142, 188)(143, 187)(144, 189)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1390
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.1393 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^3 * Y2 * Y3^-1 * Y2, Y3^-2 * Y1 * Y3 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y2 * Y3)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 21, 69, 117, 165, 43, 91, 139, 187, 24, 72, 120, 168, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 12, 60, 108, 156, 34, 82, 130, 178, 15, 63, 111, 159, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 31, 79, 127, 175, 13, 61, 109, 157, 35, 83, 131, 179, 16, 64, 112, 160, 33, 81, 129, 177, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 22, 70, 118, 166, 44, 92, 140, 188, 25, 73, 121, 169, 42, 90, 138, 186, 20, 68, 116, 164)(9, 57, 105, 153, 28, 76, 124, 172, 45, 93, 141, 189, 30, 78, 126, 174, 36, 84, 132, 180, 32, 80, 128, 176, 46, 94, 142, 190, 29, 77, 125, 173)(18, 66, 114, 162, 37, 85, 133, 181, 47, 95, 143, 191, 39, 87, 135, 183, 27, 75, 123, 171, 41, 89, 137, 185, 48, 96, 144, 192, 38, 86, 134, 182)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 78)(11, 80)(12, 52)(13, 76)(14, 74)(15, 53)(16, 77)(17, 71)(18, 54)(19, 87)(20, 89)(21, 55)(22, 85)(23, 65)(24, 56)(25, 86)(26, 62)(27, 92)(28, 61)(29, 64)(30, 58)(31, 94)(32, 59)(33, 93)(34, 91)(35, 84)(36, 83)(37, 70)(38, 73)(39, 67)(40, 96)(41, 68)(42, 95)(43, 82)(44, 75)(45, 81)(46, 79)(47, 90)(48, 88)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 165)(107, 168)(108, 163)(109, 148)(110, 177)(111, 164)(112, 149)(113, 175)(114, 180)(115, 156)(116, 159)(117, 154)(118, 151)(119, 186)(120, 155)(121, 152)(122, 184)(123, 153)(124, 182)(125, 181)(126, 185)(127, 161)(128, 183)(129, 158)(130, 188)(131, 187)(132, 162)(133, 173)(134, 172)(135, 176)(136, 170)(137, 174)(138, 167)(139, 179)(140, 178)(141, 191)(142, 192)(143, 189)(144, 190)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1391
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.1394 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^3 * Y1 * Y3^-1 * Y2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3^-3 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y3^-2 * Y2)^2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 29, 77, 125, 173, 47, 95, 143, 191, 31, 79, 127, 175, 42, 90, 138, 186, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 40, 88, 136, 184, 21, 69, 117, 165, 43, 91, 139, 187, 24, 72, 120, 168, 46, 94, 142, 190, 28, 76, 124, 172, 9, 57, 105, 153, 27, 75, 123, 171, 45, 93, 141, 189, 22, 70, 118, 166, 44, 92, 140, 188, 25, 73, 121, 169, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 39, 87, 135, 183, 48, 96, 144, 192, 41, 89, 137, 185, 32, 80, 128, 176, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 30, 78, 126, 174, 12, 60, 108, 156, 33, 81, 129, 177, 15, 63, 111, 159, 36, 84, 132, 180, 38, 86, 134, 182, 18, 66, 114, 162, 37, 85, 133, 181, 35, 83, 131, 179, 13, 61, 109, 157, 34, 82, 130, 178, 16, 64, 112, 160, 26, 74, 122, 170, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 79)(12, 52)(13, 75)(14, 74)(15, 53)(16, 76)(17, 71)(18, 54)(19, 87)(20, 89)(21, 55)(22, 85)(23, 65)(24, 56)(25, 86)(26, 62)(27, 61)(28, 64)(29, 58)(30, 94)(31, 59)(32, 93)(33, 91)(34, 95)(35, 90)(36, 88)(37, 70)(38, 73)(39, 67)(40, 84)(41, 68)(42, 83)(43, 81)(44, 96)(45, 80)(46, 78)(47, 82)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 176)(111, 164)(112, 149)(113, 174)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 186)(120, 155)(121, 152)(122, 184)(123, 183)(124, 185)(125, 181)(126, 161)(127, 182)(128, 158)(129, 188)(130, 187)(131, 190)(132, 189)(133, 173)(134, 175)(135, 171)(136, 170)(137, 172)(138, 167)(139, 178)(140, 177)(141, 180)(142, 179)(143, 192)(144, 191)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1388
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.1395 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3^-4, Y3 * Y1 * Y3^-2 * Y2 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-3 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 29, 77, 125, 173, 9, 57, 105, 153, 28, 76, 124, 172, 47, 95, 143, 191, 22, 70, 118, 166, 46, 94, 142, 190, 25, 73, 121, 169, 45, 93, 141, 189, 21, 69, 117, 165, 44, 92, 140, 188, 24, 72, 120, 168, 48, 96, 144, 192, 30, 78, 126, 174, 38, 86, 134, 182, 31, 79, 127, 175, 43, 91, 139, 187, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 40, 88, 136, 184, 18, 66, 114, 162, 39, 87, 135, 183, 36, 84, 132, 180, 13, 61, 109, 157, 35, 83, 131, 179, 16, 64, 112, 160, 34, 82, 130, 178, 12, 60, 108, 156, 33, 81, 129, 177, 15, 63, 111, 159, 37, 85, 133, 181, 41, 89, 137, 185, 27, 75, 123, 171, 42, 90, 138, 186, 32, 80, 128, 176, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 26, 74, 122, 170, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 78)(11, 79)(12, 52)(13, 76)(14, 74)(15, 53)(16, 77)(17, 71)(18, 54)(19, 89)(20, 90)(21, 55)(22, 87)(23, 65)(24, 56)(25, 88)(26, 62)(27, 94)(28, 61)(29, 64)(30, 58)(31, 59)(32, 95)(33, 92)(34, 96)(35, 86)(36, 91)(37, 93)(38, 83)(39, 70)(40, 73)(41, 67)(42, 68)(43, 84)(44, 81)(45, 85)(46, 75)(47, 80)(48, 82)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 165)(107, 168)(108, 163)(109, 148)(110, 176)(111, 164)(112, 149)(113, 170)(114, 182)(115, 156)(116, 159)(117, 154)(118, 151)(119, 187)(120, 155)(121, 152)(122, 161)(123, 153)(124, 184)(125, 183)(126, 186)(127, 185)(128, 158)(129, 190)(130, 189)(131, 188)(132, 192)(133, 191)(134, 162)(135, 173)(136, 172)(137, 175)(138, 174)(139, 167)(140, 179)(141, 178)(142, 177)(143, 181)(144, 180)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1389
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.1396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, Y3^3, (Y2, Y3^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1 * Y2^-1 * Y1, (Y2^2 * Y1)^2, (Y1 * Y2)^4, Y2^-24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 19, 67)(9, 57, 24, 72)(12, 60, 25, 73)(13, 61, 29, 77)(14, 62, 28, 76)(15, 63, 32, 80)(17, 65, 20, 68)(18, 66, 34, 82)(21, 69, 38, 86)(22, 70, 37, 85)(23, 71, 41, 89)(26, 74, 43, 91)(27, 75, 36, 84)(30, 78, 44, 92)(31, 79, 42, 90)(33, 81, 40, 88)(35, 83, 39, 87)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 115, 163, 132, 180, 120, 168, 113, 161, 101, 149)(98, 146, 103, 151, 116, 164, 107, 155, 123, 171, 112, 160, 121, 169, 105, 153)(100, 148, 109, 157, 126, 174, 133, 181, 143, 191, 139, 187, 129, 177, 111, 159)(102, 150, 110, 158, 127, 175, 134, 182, 144, 192, 137, 185, 131, 179, 114, 162)(104, 152, 117, 165, 135, 183, 124, 172, 141, 189, 130, 178, 138, 186, 119, 167)(106, 154, 118, 166, 136, 184, 125, 173, 142, 190, 128, 176, 140, 188, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 111)(6, 97)(7, 117)(8, 106)(9, 119)(10, 98)(11, 124)(12, 126)(13, 110)(14, 99)(15, 114)(16, 130)(17, 129)(18, 101)(19, 133)(20, 135)(21, 118)(22, 103)(23, 122)(24, 139)(25, 138)(26, 105)(27, 141)(28, 125)(29, 107)(30, 127)(31, 108)(32, 112)(33, 131)(34, 128)(35, 113)(36, 143)(37, 134)(38, 115)(39, 136)(40, 116)(41, 120)(42, 140)(43, 137)(44, 121)(45, 142)(46, 123)(47, 144)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1400
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^3 * Y1 * Y2^-1 * Y1, (Y2^-2 * Y1)^2, Y3^6, Y3^3 * Y2^-4, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-2, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 28, 76)(13, 61, 33, 81)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 40, 88)(18, 66, 22, 70)(19, 67, 42, 90)(20, 68, 25, 73)(23, 71, 39, 87)(24, 72, 44, 92)(26, 74, 36, 84)(29, 77, 37, 85)(31, 79, 38, 86)(34, 82, 48, 96)(35, 83, 47, 95)(41, 89, 46, 94)(43, 91, 45, 93)(97, 145, 99, 147, 108, 156, 117, 165, 134, 182, 123, 171, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 107, 155, 127, 175, 113, 161, 124, 172, 105, 153)(100, 148, 109, 157, 130, 178, 140, 188, 116, 164, 133, 181, 137, 185, 112, 160)(102, 150, 110, 158, 131, 179, 135, 183, 111, 159, 132, 180, 139, 187, 115, 163)(104, 152, 119, 167, 141, 189, 128, 176, 126, 174, 138, 186, 143, 191, 122, 170)(106, 154, 120, 168, 142, 190, 129, 177, 121, 169, 136, 184, 144, 192, 125, 173)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 130)(13, 132)(14, 99)(15, 134)(16, 135)(17, 138)(18, 137)(19, 101)(20, 102)(21, 140)(22, 141)(23, 136)(24, 103)(25, 127)(26, 129)(27, 133)(28, 143)(29, 105)(30, 106)(31, 126)(32, 125)(33, 107)(34, 139)(35, 108)(36, 123)(37, 110)(38, 116)(39, 117)(40, 113)(41, 131)(42, 120)(43, 114)(44, 115)(45, 144)(46, 118)(47, 142)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1401
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, (R * Y1)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^2 * Y2, Y2 * Y1 * Y2^-3 * Y1, (Y2^-2 * Y1)^2, Y3^-1 * Y1 * Y3 * Y2^2 * Y1 * Y3^-1, (Y2^-1 * Y3)^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 28, 76)(13, 61, 33, 81)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 37, 85)(18, 66, 22, 70)(19, 67, 39, 87)(20, 68, 25, 73)(23, 71, 41, 89)(24, 72, 35, 83)(26, 74, 36, 84)(29, 77, 44, 92)(31, 79, 40, 88)(34, 82, 43, 91)(38, 86, 42, 90)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 117, 165, 136, 184, 123, 171, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 107, 155, 127, 175, 113, 161, 124, 172, 105, 153)(100, 148, 109, 157, 116, 164, 131, 179, 143, 191, 140, 188, 134, 182, 112, 160)(102, 150, 110, 158, 130, 178, 137, 185, 144, 192, 132, 180, 111, 159, 115, 163)(104, 152, 119, 167, 126, 174, 128, 176, 141, 189, 135, 183, 139, 187, 122, 170)(106, 154, 120, 168, 138, 186, 129, 177, 142, 190, 133, 181, 121, 169, 125, 173)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 116)(13, 115)(14, 99)(15, 114)(16, 132)(17, 135)(18, 134)(19, 101)(20, 102)(21, 131)(22, 126)(23, 125)(24, 103)(25, 124)(26, 133)(27, 140)(28, 139)(29, 105)(30, 106)(31, 141)(32, 120)(33, 107)(34, 108)(35, 110)(36, 123)(37, 113)(38, 144)(39, 129)(40, 143)(41, 117)(42, 118)(43, 142)(44, 137)(45, 138)(46, 127)(47, 130)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E21.1403
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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^-1, Y2), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y2^2, (Y2^2 * Y1)^2, Y1 * Y2^3 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1, Y2^8, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 28, 76)(13, 61, 33, 81)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 36, 84)(18, 66, 22, 70)(19, 67, 37, 85)(20, 68, 25, 73)(23, 71, 35, 83)(24, 72, 41, 89)(26, 74, 43, 91)(29, 77, 39, 87)(31, 79, 40, 88)(34, 82, 44, 92)(38, 86, 42, 90)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 117, 165, 136, 184, 123, 171, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 107, 155, 127, 175, 113, 161, 124, 172, 105, 153)(100, 148, 109, 157, 130, 178, 137, 185, 144, 192, 135, 183, 116, 164, 112, 160)(102, 150, 110, 158, 111, 159, 131, 179, 143, 191, 139, 187, 134, 182, 115, 163)(104, 152, 119, 167, 138, 186, 128, 176, 141, 189, 133, 181, 126, 174, 122, 170)(106, 154, 120, 168, 121, 169, 129, 177, 142, 190, 132, 180, 140, 188, 125, 173)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 130)(13, 131)(14, 99)(15, 108)(16, 110)(17, 133)(18, 116)(19, 101)(20, 102)(21, 137)(22, 138)(23, 129)(24, 103)(25, 118)(26, 120)(27, 135)(28, 126)(29, 105)(30, 106)(31, 141)(32, 132)(33, 107)(34, 143)(35, 117)(36, 113)(37, 125)(38, 114)(39, 115)(40, 144)(41, 139)(42, 142)(43, 123)(44, 124)(45, 140)(46, 127)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E21.1402
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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, Y3^3, (Y1, Y3), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y2 * Y1)^4, Y1^-8 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 40, 88, 47, 95, 35, 83, 15, 63, 4, 52, 9, 57, 21, 69, 28, 76, 43, 91, 32, 80, 39, 87, 18, 66, 6, 54, 10, 58, 22, 70, 41, 89, 48, 96, 38, 86, 17, 65, 5, 53)(3, 51, 11, 59, 27, 75, 26, 74, 45, 93, 34, 82, 42, 90, 31, 79, 12, 60, 29, 77, 25, 73, 8, 56, 23, 71, 16, 64, 36, 84, 33, 81, 14, 62, 30, 78, 46, 94, 24, 72, 44, 92, 37, 85, 20, 68, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 112, 160)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 122, 170)(106, 154, 120, 168)(107, 155, 124, 172)(109, 157, 128, 176)(111, 159, 130, 178)(113, 161, 123, 171)(114, 162, 133, 181)(115, 163, 125, 173)(117, 165, 132, 180)(118, 166, 138, 186)(119, 167, 139, 187)(121, 169, 135, 183)(126, 174, 137, 185)(127, 175, 143, 191)(129, 177, 134, 182)(131, 179, 142, 190)(136, 184, 140, 188)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 111)(6, 97)(7, 117)(8, 120)(9, 106)(10, 98)(11, 125)(12, 110)(13, 127)(14, 99)(15, 114)(16, 133)(17, 131)(18, 101)(19, 124)(20, 138)(21, 118)(22, 103)(23, 140)(24, 122)(25, 142)(26, 104)(27, 121)(28, 137)(29, 126)(30, 107)(31, 129)(32, 134)(33, 109)(34, 112)(35, 135)(36, 116)(37, 130)(38, 143)(39, 113)(40, 139)(41, 115)(42, 132)(43, 144)(44, 141)(45, 119)(46, 123)(47, 128)(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, 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 E21.1396
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1, Y3^-1), Y1^4 * Y3, Y3^6, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y2 * Y3^2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 6, 54, 10, 58, 22, 70, 44, 92, 20, 68, 28, 76, 46, 94, 30, 78, 38, 86, 35, 83, 48, 96, 39, 87, 15, 63, 27, 75, 41, 89, 16, 64, 4, 52, 9, 57, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 36, 84, 14, 62, 32, 80, 47, 95, 24, 72, 37, 85, 43, 91, 25, 73, 8, 56, 23, 71, 17, 65, 42, 90, 26, 74, 33, 81, 40, 88, 45, 93, 34, 82, 12, 60, 31, 79, 21, 69, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 122, 170)(106, 154, 120, 168)(107, 155, 126, 174)(109, 157, 131, 179)(111, 159, 133, 181)(112, 160, 136, 184)(114, 162, 125, 173)(115, 163, 139, 187)(116, 164, 129, 177)(118, 166, 141, 189)(119, 167, 134, 182)(121, 169, 144, 192)(123, 171, 130, 178)(124, 172, 132, 180)(127, 175, 135, 183)(128, 176, 140, 188)(137, 185, 143, 191)(138, 186, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 114)(8, 120)(9, 123)(10, 98)(11, 127)(12, 129)(13, 130)(14, 99)(15, 134)(16, 135)(17, 139)(18, 137)(19, 101)(20, 102)(21, 141)(22, 103)(23, 133)(24, 132)(25, 143)(26, 104)(27, 131)(28, 106)(29, 117)(30, 140)(31, 136)(32, 107)(33, 119)(34, 122)(35, 124)(36, 109)(37, 110)(38, 116)(39, 126)(40, 113)(41, 144)(42, 121)(43, 128)(44, 115)(45, 138)(46, 118)(47, 125)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1397
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-1 * Y1, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y3 * Y1 * Y2 * R, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y3^-5 * Y1^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 8, 56, 13, 61, 20, 68, 27, 75, 36, 84, 44, 92, 38, 86, 37, 85, 21, 69, 32, 80, 24, 72, 33, 81, 41, 89, 48, 96, 47, 95, 31, 79, 30, 78, 16, 64, 15, 63, 6, 54, 5, 53)(3, 51, 9, 57, 10, 58, 22, 70, 23, 71, 39, 87, 40, 88, 35, 83, 34, 82, 19, 67, 18, 66, 7, 55, 17, 65, 14, 62, 28, 76, 29, 77, 45, 93, 46, 94, 43, 91, 42, 90, 26, 74, 25, 73, 12, 60, 11, 59)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 110, 158)(102, 150, 106, 154)(104, 152, 115, 163)(105, 153, 117, 165)(107, 155, 120, 168)(109, 157, 122, 170)(111, 159, 125, 173)(112, 160, 119, 167)(113, 161, 128, 176)(114, 162, 129, 177)(116, 164, 131, 179)(118, 166, 134, 182)(121, 169, 137, 185)(123, 171, 139, 187)(124, 172, 133, 181)(126, 174, 142, 190)(127, 175, 136, 184)(130, 178, 144, 192)(132, 180, 135, 183)(138, 186, 143, 191)(140, 188, 141, 189)
	L = (1, 100)(2, 104)(3, 106)(4, 109)(5, 98)(6, 97)(7, 110)(8, 116)(9, 118)(10, 119)(11, 105)(12, 99)(13, 123)(14, 125)(15, 101)(16, 102)(17, 124)(18, 113)(19, 103)(20, 132)(21, 120)(22, 135)(23, 136)(24, 137)(25, 107)(26, 108)(27, 140)(28, 141)(29, 142)(30, 111)(31, 112)(32, 129)(33, 144)(34, 114)(35, 115)(36, 134)(37, 128)(38, 117)(39, 131)(40, 130)(41, 143)(42, 121)(43, 122)(44, 133)(45, 139)(46, 138)(47, 126)(48, 127)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1399
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 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 * Y2)^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2, (Y1 * Y2 * Y1)^2, (R * Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1 * Y3^3, (Y1^-1 * Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 15, 63, 27, 75, 38, 86, 42, 90, 36, 84, 19, 67, 6, 54, 10, 58, 24, 72, 16, 64, 4, 52, 9, 57, 23, 71, 39, 87, 34, 82, 37, 85, 20, 68, 28, 76, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 35, 83, 31, 79, 44, 92, 47, 95, 41, 89, 40, 88, 32, 80, 14, 62, 8, 56, 25, 73, 17, 65, 12, 60, 30, 78, 43, 91, 48, 96, 45, 93, 46, 94, 33, 81, 26, 74, 22, 70, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 122, 170)(106, 154, 107, 155)(109, 157, 112, 160)(111, 159, 129, 177)(114, 162, 125, 173)(115, 163, 131, 179)(116, 164, 127, 175)(117, 165, 128, 176)(119, 167, 136, 184)(120, 168, 121, 169)(123, 171, 137, 185)(124, 172, 126, 174)(130, 178, 143, 191)(132, 180, 139, 187)(133, 181, 144, 192)(134, 182, 141, 189)(135, 183, 142, 190)(138, 186, 140, 188)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 107)(9, 123)(10, 98)(11, 126)(12, 127)(13, 113)(14, 99)(15, 130)(16, 117)(17, 131)(18, 120)(19, 101)(20, 102)(21, 135)(22, 121)(23, 134)(24, 103)(25, 125)(26, 104)(27, 133)(28, 106)(29, 139)(30, 140)(31, 141)(32, 109)(33, 110)(34, 132)(35, 144)(36, 114)(37, 115)(38, 116)(39, 138)(40, 118)(41, 122)(42, 124)(43, 143)(44, 142)(45, 136)(46, 128)(47, 129)(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, 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 E21.1398
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1404 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|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^-4 * Y3 * Y1 * Y2 * Y1^-3, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 73, 25, 85, 37, 83, 35, 71, 23, 60, 12, 66, 18, 77, 29, 89, 41, 95, 47, 92, 44, 80, 32, 68, 20, 58, 10, 65, 17, 76, 28, 88, 40, 84, 36, 72, 24, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 79, 31, 91, 43, 96, 48, 90, 42, 78, 30, 69, 21, 81, 33, 93, 45, 94, 46, 87, 39, 75, 27, 64, 16, 56, 8, 52, 4, 59, 11, 70, 22, 82, 34, 86, 38, 74, 26, 63, 15, 55, 7, 51)
	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, 37)(36, 43)(39, 47)(40, 48)(44, 46)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 69)(61, 70)(62, 75)(63, 76)(66, 78)(67, 80)(71, 81)(72, 82)(73, 87)(74, 88)(77, 90)(79, 92)(83, 93)(84, 86)(85, 94)(89, 96)(91, 95)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1406
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1405 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1^-3, (Y2 * Y3)^6, (Y2 * Y1^-2 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 58, 10, 65, 17, 72, 24, 79, 31, 75, 27, 81, 33, 88, 40, 94, 46, 91, 43, 96, 48, 92, 44, 85, 37, 78, 30, 82, 34, 76, 28, 69, 21, 60, 12, 66, 18, 61, 13, 53, 5, 49)(3, 57, 9, 64, 16, 56, 8, 52, 4, 59, 11, 68, 20, 74, 26, 70, 22, 77, 29, 84, 36, 90, 42, 86, 38, 93, 45, 95, 47, 89, 41, 83, 35, 87, 39, 80, 32, 73, 25, 67, 19, 71, 23, 63, 15, 55, 7, 51)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 28)(22, 30)(24, 32)(26, 34)(27, 35)(29, 37)(31, 39)(33, 41)(36, 44)(38, 43)(40, 47)(42, 48)(45, 46)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 62)(60, 70)(61, 68)(63, 72)(66, 74)(67, 75)(69, 77)(71, 79)(73, 81)(76, 84)(78, 86)(80, 88)(82, 90)(83, 91)(85, 93)(87, 94)(89, 96)(92, 95)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1407
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1406 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|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)^3, Y1^8, 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, 50, 2, 54, 6, 62, 14, 73, 25, 72, 24, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 79, 31, 84, 36, 74, 26, 63, 15, 55, 7, 51)(4, 59, 11, 70, 22, 82, 34, 85, 37, 75, 27, 64, 16, 56, 8, 52)(10, 65, 17, 76, 28, 86, 38, 92, 44, 89, 41, 80, 32, 68, 20, 58)(12, 66, 18, 77, 29, 87, 39, 93, 45, 91, 43, 83, 35, 71, 23, 60)(21, 81, 33, 90, 42, 95, 47, 96, 48, 94, 46, 88, 40, 78, 30, 69)
	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, 36)(27, 39)(28, 40)(32, 42)(34, 43)(37, 45)(38, 46)(41, 47)(44, 48)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 69)(61, 70)(62, 75)(63, 76)(66, 78)(67, 80)(71, 81)(72, 82)(73, 85)(74, 86)(77, 88)(79, 89)(83, 90)(84, 92)(87, 94)(91, 95)(93, 96)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1404
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1407 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^8, Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^3, Y2 * Y3 * Y2 * Y3 * Y1^-2 * 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, 50, 2, 54, 6, 62, 14, 74, 26, 73, 25, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 81, 33, 89, 41, 75, 27, 63, 15, 55, 7, 51)(4, 59, 11, 70, 22, 85, 37, 90, 42, 76, 28, 64, 16, 56, 8, 52)(10, 65, 17, 77, 29, 91, 43, 88, 40, 96, 48, 82, 34, 68, 20, 58)(12, 66, 18, 78, 30, 92, 44, 84, 36, 95, 47, 86, 38, 71, 23, 60)(21, 83, 35, 94, 46, 80, 32, 72, 24, 87, 39, 93, 45, 79, 31, 69)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 41)(28, 44)(29, 45)(32, 48)(34, 46)(36, 42)(37, 47)(39, 43)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 72)(61, 70)(62, 76)(63, 77)(66, 80)(67, 82)(69, 84)(71, 87)(73, 85)(74, 90)(75, 91)(78, 94)(79, 95)(81, 96)(83, 92)(86, 93)(88, 89)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1405
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1408 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|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, Y3^8, 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^-2 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 23, 71, 35, 83, 24, 72, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 29, 77, 40, 88, 30, 78, 18, 66, 8, 56)(3, 51, 10, 58, 21, 69, 33, 81, 43, 91, 34, 82, 22, 70, 11, 59)(6, 54, 15, 63, 27, 75, 38, 86, 46, 94, 39, 87, 28, 76, 16, 64)(9, 57, 19, 67, 31, 79, 41, 89, 47, 95, 42, 90, 32, 80, 20, 68)(14, 62, 25, 73, 36, 84, 44, 92, 48, 96, 45, 93, 37, 85, 26, 74)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 116)(107, 115)(108, 114)(109, 113)(111, 122)(112, 121)(117, 128)(118, 127)(119, 126)(120, 125)(123, 133)(124, 132)(129, 138)(130, 137)(131, 136)(134, 141)(135, 140)(139, 143)(142, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 158)(156, 166)(157, 165)(161, 172)(162, 171)(163, 170)(164, 169)(167, 178)(168, 177)(173, 183)(174, 182)(175, 181)(176, 180)(179, 187)(184, 190)(185, 189)(186, 188)(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) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1414
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.1409 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^8, Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-3 * Y2 * Y1, Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 40, 88, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 48, 96, 32, 80, 18, 66, 8, 56)(3, 51, 10, 58, 22, 70, 38, 86, 41, 89, 39, 87, 23, 71, 11, 59)(6, 54, 15, 63, 29, 77, 46, 94, 33, 81, 47, 95, 30, 78, 16, 64)(9, 57, 20, 68, 36, 84, 43, 91, 26, 74, 42, 90, 37, 85, 21, 69)(14, 62, 27, 75, 44, 92, 35, 83, 19, 67, 34, 82, 45, 93, 28, 76)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 124)(112, 123)(115, 129)(118, 133)(119, 132)(120, 128)(121, 127)(122, 137)(125, 141)(126, 140)(130, 142)(131, 143)(134, 138)(135, 139)(136, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 167)(157, 166)(158, 170)(161, 174)(162, 173)(164, 179)(165, 178)(168, 183)(169, 182)(171, 187)(172, 186)(175, 191)(176, 190)(177, 192)(180, 188)(181, 189)(184, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1415
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.1410 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^2 * Y2 * Y3^-6 * Y1, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 23, 71, 35, 83, 40, 88, 28, 76, 16, 64, 6, 54, 15, 63, 27, 75, 39, 87, 48, 96, 44, 92, 32, 80, 20, 68, 9, 57, 19, 67, 31, 79, 43, 91, 36, 84, 24, 72, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 29, 77, 41, 89, 34, 82, 22, 70, 11, 59, 3, 51, 10, 58, 21, 69, 33, 81, 45, 93, 47, 95, 38, 86, 26, 74, 14, 62, 25, 73, 37, 85, 46, 94, 42, 90, 30, 78, 18, 66, 8, 56)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 116)(107, 115)(108, 114)(109, 113)(111, 122)(112, 121)(117, 128)(118, 127)(119, 126)(120, 125)(123, 134)(124, 133)(129, 140)(130, 139)(131, 138)(132, 137)(135, 143)(136, 142)(141, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 158)(156, 166)(157, 165)(161, 172)(162, 171)(163, 170)(164, 169)(167, 178)(168, 177)(173, 184)(174, 183)(175, 182)(176, 181)(179, 185)(180, 189)(186, 192)(187, 191)(188, 190)
	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, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1412
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1411 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 8, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|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 * Y3^4 * Y1, (Y2 * Y1)^6, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 21, 69, 9, 57, 20, 68, 30, 78, 37, 85, 27, 75, 36, 84, 45, 93, 47, 95, 39, 87, 46, 94, 42, 90, 33, 81, 23, 71, 32, 80, 26, 74, 16, 64, 6, 54, 15, 63, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 25, 73, 14, 62, 24, 72, 34, 82, 41, 89, 31, 79, 40, 88, 48, 96, 44, 92, 35, 83, 43, 91, 38, 86, 29, 77, 19, 67, 28, 76, 22, 70, 11, 59, 3, 51, 10, 58, 18, 66, 8, 56)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 121)(112, 120)(115, 123)(118, 126)(119, 127)(122, 130)(124, 133)(125, 132)(128, 137)(129, 136)(131, 135)(134, 141)(138, 144)(139, 143)(140, 142)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 166)(157, 162)(158, 167)(161, 170)(164, 173)(165, 172)(168, 177)(169, 176)(171, 179)(174, 182)(175, 183)(178, 186)(180, 188)(181, 187)(184, 191)(185, 190)(189, 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, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1413
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1412 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|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, Y3^8, 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^-2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 23, 71, 119, 167, 35, 83, 131, 179, 24, 72, 120, 168, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 29, 77, 125, 173, 40, 88, 136, 184, 30, 78, 126, 174, 18, 66, 114, 162, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 21, 69, 117, 165, 33, 81, 129, 177, 43, 91, 139, 187, 34, 82, 130, 178, 22, 70, 118, 166, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 27, 75, 123, 171, 38, 86, 134, 182, 46, 94, 142, 190, 39, 87, 135, 183, 28, 76, 124, 172, 16, 64, 112, 160)(9, 57, 105, 153, 19, 67, 115, 163, 31, 79, 127, 175, 41, 89, 137, 185, 47, 95, 143, 191, 42, 90, 138, 186, 32, 80, 128, 176, 20, 68, 116, 164)(14, 62, 110, 158, 25, 73, 121, 169, 36, 84, 132, 180, 44, 92, 140, 188, 48, 96, 144, 192, 45, 93, 141, 189, 37, 85, 133, 181, 26, 74, 122, 170)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 68)(11, 67)(12, 66)(13, 65)(14, 54)(15, 74)(16, 73)(17, 61)(18, 60)(19, 59)(20, 58)(21, 80)(22, 79)(23, 78)(24, 77)(25, 64)(26, 63)(27, 85)(28, 84)(29, 72)(30, 71)(31, 70)(32, 69)(33, 90)(34, 89)(35, 88)(36, 76)(37, 75)(38, 93)(39, 92)(40, 83)(41, 82)(42, 81)(43, 95)(44, 87)(45, 86)(46, 96)(47, 91)(48, 94)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 158)(106, 149)(107, 148)(108, 166)(109, 165)(110, 153)(111, 152)(112, 151)(113, 172)(114, 171)(115, 170)(116, 169)(117, 157)(118, 156)(119, 178)(120, 177)(121, 164)(122, 163)(123, 162)(124, 161)(125, 183)(126, 182)(127, 181)(128, 180)(129, 168)(130, 167)(131, 187)(132, 176)(133, 175)(134, 174)(135, 173)(136, 190)(137, 189)(138, 188)(139, 179)(140, 186)(141, 185)(142, 184)(143, 192)(144, 191)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1410
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.1413 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^8, Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-3 * Y2 * Y1, Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 40, 88, 136, 184, 25, 73, 121, 169, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 31, 79, 127, 175, 48, 96, 144, 192, 32, 80, 128, 176, 18, 66, 114, 162, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 38, 86, 134, 182, 41, 89, 137, 185, 39, 87, 135, 183, 23, 71, 119, 167, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 29, 77, 125, 173, 46, 94, 142, 190, 33, 81, 129, 177, 47, 95, 143, 191, 30, 78, 126, 174, 16, 64, 112, 160)(9, 57, 105, 153, 20, 68, 116, 164, 36, 84, 132, 180, 43, 91, 139, 187, 26, 74, 122, 170, 42, 90, 138, 186, 37, 85, 133, 181, 21, 69, 117, 165)(14, 62, 110, 158, 27, 75, 123, 171, 44, 92, 140, 188, 35, 83, 131, 179, 19, 67, 115, 163, 34, 82, 130, 178, 45, 93, 141, 189, 28, 76, 124, 172)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 69)(11, 68)(12, 66)(13, 65)(14, 54)(15, 76)(16, 75)(17, 61)(18, 60)(19, 81)(20, 59)(21, 58)(22, 85)(23, 84)(24, 80)(25, 79)(26, 89)(27, 64)(28, 63)(29, 93)(30, 92)(31, 73)(32, 72)(33, 67)(34, 94)(35, 95)(36, 71)(37, 70)(38, 90)(39, 91)(40, 96)(41, 74)(42, 86)(43, 87)(44, 78)(45, 77)(46, 82)(47, 83)(48, 88)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 163)(106, 149)(107, 148)(108, 167)(109, 166)(110, 170)(111, 152)(112, 151)(113, 174)(114, 173)(115, 153)(116, 179)(117, 178)(118, 157)(119, 156)(120, 183)(121, 182)(122, 158)(123, 187)(124, 186)(125, 162)(126, 161)(127, 191)(128, 190)(129, 192)(130, 165)(131, 164)(132, 188)(133, 189)(134, 169)(135, 168)(136, 185)(137, 184)(138, 172)(139, 171)(140, 180)(141, 181)(142, 176)(143, 175)(144, 177)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1411
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.1414 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^2 * Y2 * Y3^-6 * Y1, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 23, 71, 119, 167, 35, 83, 131, 179, 40, 88, 136, 184, 28, 76, 124, 172, 16, 64, 112, 160, 6, 54, 102, 150, 15, 63, 111, 159, 27, 75, 123, 171, 39, 87, 135, 183, 48, 96, 144, 192, 44, 92, 140, 188, 32, 80, 128, 176, 20, 68, 116, 164, 9, 57, 105, 153, 19, 67, 115, 163, 31, 79, 127, 175, 43, 91, 139, 187, 36, 84, 132, 180, 24, 72, 120, 168, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 29, 77, 125, 173, 41, 89, 137, 185, 34, 82, 130, 178, 22, 70, 118, 166, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 21, 69, 117, 165, 33, 81, 129, 177, 45, 93, 141, 189, 47, 95, 143, 191, 38, 86, 134, 182, 26, 74, 122, 170, 14, 62, 110, 158, 25, 73, 121, 169, 37, 85, 133, 181, 46, 94, 142, 190, 42, 90, 138, 186, 30, 78, 126, 174, 18, 66, 114, 162, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 68)(11, 67)(12, 66)(13, 65)(14, 54)(15, 74)(16, 73)(17, 61)(18, 60)(19, 59)(20, 58)(21, 80)(22, 79)(23, 78)(24, 77)(25, 64)(26, 63)(27, 86)(28, 85)(29, 72)(30, 71)(31, 70)(32, 69)(33, 92)(34, 91)(35, 90)(36, 89)(37, 76)(38, 75)(39, 95)(40, 94)(41, 84)(42, 83)(43, 82)(44, 81)(45, 96)(46, 88)(47, 87)(48, 93)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 158)(106, 149)(107, 148)(108, 166)(109, 165)(110, 153)(111, 152)(112, 151)(113, 172)(114, 171)(115, 170)(116, 169)(117, 157)(118, 156)(119, 178)(120, 177)(121, 164)(122, 163)(123, 162)(124, 161)(125, 184)(126, 183)(127, 182)(128, 181)(129, 168)(130, 167)(131, 185)(132, 189)(133, 176)(134, 175)(135, 174)(136, 173)(137, 179)(138, 192)(139, 191)(140, 190)(141, 180)(142, 188)(143, 187)(144, 186)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1408
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.1415 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 8, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|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 * Y3^4 * Y1, (Y2 * Y1)^6, Y3^-1 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 21, 69, 117, 165, 9, 57, 105, 153, 20, 68, 116, 164, 30, 78, 126, 174, 37, 85, 133, 181, 27, 75, 123, 171, 36, 84, 132, 180, 45, 93, 141, 189, 47, 95, 143, 191, 39, 87, 135, 183, 46, 94, 142, 190, 42, 90, 138, 186, 33, 81, 129, 177, 23, 71, 119, 167, 32, 80, 128, 176, 26, 74, 122, 170, 16, 64, 112, 160, 6, 54, 102, 150, 15, 63, 111, 159, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 25, 73, 121, 169, 14, 62, 110, 158, 24, 72, 120, 168, 34, 82, 130, 178, 41, 89, 137, 185, 31, 79, 127, 175, 40, 88, 136, 184, 48, 96, 144, 192, 44, 92, 140, 188, 35, 83, 131, 179, 43, 91, 139, 187, 38, 86, 134, 182, 29, 77, 125, 173, 19, 67, 115, 163, 28, 76, 124, 172, 22, 70, 118, 166, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 18, 66, 114, 162, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 69)(11, 68)(12, 66)(13, 65)(14, 54)(15, 73)(16, 72)(17, 61)(18, 60)(19, 75)(20, 59)(21, 58)(22, 78)(23, 79)(24, 64)(25, 63)(26, 82)(27, 67)(28, 85)(29, 84)(30, 70)(31, 71)(32, 89)(33, 88)(34, 74)(35, 87)(36, 77)(37, 76)(38, 93)(39, 83)(40, 81)(41, 80)(42, 96)(43, 95)(44, 94)(45, 86)(46, 92)(47, 91)(48, 90)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 163)(106, 149)(107, 148)(108, 166)(109, 162)(110, 167)(111, 152)(112, 151)(113, 170)(114, 157)(115, 153)(116, 173)(117, 172)(118, 156)(119, 158)(120, 177)(121, 176)(122, 161)(123, 179)(124, 165)(125, 164)(126, 182)(127, 183)(128, 169)(129, 168)(130, 186)(131, 171)(132, 188)(133, 187)(134, 174)(135, 175)(136, 191)(137, 190)(138, 178)(139, 181)(140, 180)(141, 192)(142, 185)(143, 184)(144, 189)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1409
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.1416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 20, 68)(14, 62, 19, 67)(15, 63, 17, 65)(16, 64, 18, 66)(23, 71, 33, 81)(24, 72, 34, 82)(25, 73, 32, 80)(26, 74, 31, 79)(27, 75, 29, 77)(28, 76, 30, 78)(35, 83, 40, 88)(36, 84, 44, 92)(37, 85, 43, 91)(38, 86, 42, 90)(39, 87, 41, 89)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 119, 167, 131, 179, 123, 171, 111, 159, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 136, 184, 129, 177, 117, 165, 105, 153)(100, 148, 108, 156, 120, 168, 132, 180, 141, 189, 134, 182, 122, 170, 110, 158)(102, 150, 109, 157, 121, 169, 133, 181, 142, 190, 135, 183, 124, 172, 112, 160)(104, 152, 114, 162, 126, 174, 137, 185, 143, 191, 139, 187, 128, 176, 116, 164)(106, 154, 115, 163, 127, 175, 138, 186, 144, 192, 140, 188, 130, 178, 118, 166)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 110)(6, 97)(7, 114)(8, 106)(9, 116)(10, 98)(11, 120)(12, 109)(13, 99)(14, 112)(15, 122)(16, 101)(17, 126)(18, 115)(19, 103)(20, 118)(21, 128)(22, 105)(23, 132)(24, 121)(25, 107)(26, 124)(27, 134)(28, 111)(29, 137)(30, 127)(31, 113)(32, 130)(33, 139)(34, 117)(35, 141)(36, 133)(37, 119)(38, 135)(39, 123)(40, 143)(41, 138)(42, 125)(43, 140)(44, 129)(45, 142)(46, 131)(47, 144)(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, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1420
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y2^-1, Y3^-1), (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^6, Y2^4 * Y3^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 46, 94)(28, 76, 47, 95)(29, 77, 45, 93)(30, 78, 48, 96)(31, 79, 44, 92)(32, 80, 43, 91)(33, 81, 42, 90)(34, 82, 40, 88)(35, 83, 38, 86)(36, 84, 39, 87)(37, 85, 41, 89)(97, 145, 99, 147, 107, 155, 123, 171, 128, 176, 131, 179, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 134, 182, 139, 187, 142, 190, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 133, 181, 114, 162, 127, 175, 130, 178, 111, 159)(102, 150, 109, 157, 125, 173, 129, 177, 110, 158, 126, 174, 132, 180, 113, 161)(104, 152, 116, 164, 135, 183, 144, 192, 122, 170, 138, 186, 141, 189, 119, 167)(106, 154, 117, 165, 136, 184, 140, 188, 118, 166, 137, 185, 143, 191, 121, 169)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 124)(12, 126)(13, 99)(14, 128)(15, 129)(16, 130)(17, 101)(18, 102)(19, 135)(20, 137)(21, 103)(22, 139)(23, 140)(24, 141)(25, 105)(26, 106)(27, 133)(28, 132)(29, 107)(30, 131)(31, 109)(32, 114)(33, 123)(34, 125)(35, 127)(36, 112)(37, 113)(38, 144)(39, 143)(40, 115)(41, 142)(42, 117)(43, 122)(44, 134)(45, 136)(46, 138)(47, 120)(48, 121)(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 E21.1421
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^3 * Y2^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 38, 86)(28, 76, 37, 85)(29, 77, 36, 84)(30, 78, 35, 83)(31, 79, 34, 82)(32, 80, 33, 81)(39, 87, 44, 92)(40, 88, 48, 96)(41, 89, 47, 95)(42, 90, 46, 94)(43, 91, 45, 93)(97, 145, 99, 147, 107, 155, 123, 171, 135, 183, 128, 176, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 129, 177, 140, 188, 134, 182, 120, 168, 105, 153)(100, 148, 108, 156, 114, 162, 125, 173, 137, 185, 139, 187, 127, 175, 111, 159)(102, 150, 109, 157, 124, 172, 136, 184, 138, 186, 126, 174, 110, 158, 113, 161)(104, 152, 116, 164, 122, 170, 131, 179, 142, 190, 144, 192, 133, 181, 119, 167)(106, 154, 117, 165, 130, 178, 141, 189, 143, 191, 132, 180, 118, 166, 121, 169)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 114)(12, 113)(13, 99)(14, 112)(15, 126)(16, 127)(17, 101)(18, 102)(19, 122)(20, 121)(21, 103)(22, 120)(23, 132)(24, 133)(25, 105)(26, 106)(27, 125)(28, 107)(29, 109)(30, 128)(31, 138)(32, 139)(33, 131)(34, 115)(35, 117)(36, 134)(37, 143)(38, 144)(39, 137)(40, 123)(41, 124)(42, 135)(43, 136)(44, 142)(45, 129)(46, 130)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1423
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^-2 * Y3^3, Y2^8, Y2^16 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 38, 86)(30, 78, 33, 81)(31, 79, 34, 82)(32, 80, 35, 83)(39, 87, 44, 92)(40, 88, 47, 95)(41, 89, 48, 96)(42, 90, 45, 93)(43, 91, 46, 94)(97, 145, 99, 147, 107, 155, 123, 171, 135, 183, 126, 174, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 129, 177, 140, 188, 132, 180, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 136, 184, 139, 187, 128, 176, 114, 162, 111, 159)(102, 150, 109, 157, 110, 158, 125, 173, 137, 185, 138, 186, 127, 175, 113, 161)(104, 152, 116, 164, 130, 178, 141, 189, 144, 192, 134, 182, 122, 170, 119, 167)(106, 154, 117, 165, 118, 166, 131, 179, 142, 190, 143, 191, 133, 181, 121, 169)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 124)(12, 125)(13, 99)(14, 107)(15, 109)(16, 114)(17, 101)(18, 102)(19, 130)(20, 131)(21, 103)(22, 115)(23, 117)(24, 122)(25, 105)(26, 106)(27, 136)(28, 137)(29, 123)(30, 128)(31, 112)(32, 113)(33, 141)(34, 142)(35, 129)(36, 134)(37, 120)(38, 121)(39, 139)(40, 138)(41, 135)(42, 126)(43, 127)(44, 144)(45, 143)(46, 140)(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, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1422
Graph:: simple bipartite
	v = 30 e = 96 f = 26
	degree seq :: [ 4^24, 16^6 ]

E21.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^8, Y1^-3 * 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, 49, 2, 50, 7, 55, 17, 65, 29, 77, 38, 86, 26, 74, 14, 62, 4, 52, 9, 57, 19, 67, 31, 79, 42, 90, 40, 88, 28, 76, 16, 64, 6, 54, 10, 58, 20, 68, 32, 80, 39, 87, 27, 75, 15, 63, 5, 53)(3, 51, 11, 59, 23, 71, 35, 83, 45, 93, 43, 91, 33, 81, 21, 69, 12, 60, 24, 72, 36, 84, 46, 94, 48, 96, 44, 92, 34, 82, 22, 70, 13, 61, 25, 73, 37, 85, 47, 95, 41, 89, 30, 78, 18, 66, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 114, 162)(105, 153, 118, 166)(106, 154, 117, 165)(110, 158, 121, 169)(111, 159, 119, 167)(112, 160, 120, 168)(113, 161, 126, 174)(115, 163, 130, 178)(116, 164, 129, 177)(122, 170, 133, 181)(123, 171, 131, 179)(124, 172, 132, 180)(125, 173, 137, 185)(127, 175, 140, 188)(128, 176, 139, 187)(134, 182, 143, 191)(135, 183, 141, 189)(136, 184, 142, 190)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 110)(6, 97)(7, 115)(8, 117)(9, 106)(10, 98)(11, 120)(12, 109)(13, 99)(14, 112)(15, 122)(16, 101)(17, 127)(18, 129)(19, 116)(20, 103)(21, 118)(22, 104)(23, 132)(24, 121)(25, 107)(26, 124)(27, 134)(28, 111)(29, 138)(30, 139)(31, 128)(32, 113)(33, 130)(34, 114)(35, 142)(36, 133)(37, 119)(38, 136)(39, 125)(40, 123)(41, 141)(42, 135)(43, 140)(44, 126)(45, 144)(46, 143)(47, 131)(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, 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 E21.1416
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^4 * Y3, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 6, 54, 10, 58, 20, 68, 33, 81, 18, 66, 24, 72, 35, 83, 43, 91, 30, 78, 38, 86, 44, 92, 31, 79, 14, 62, 23, 71, 32, 80, 15, 63, 4, 52, 9, 57, 16, 64, 5, 53)(3, 51, 11, 59, 25, 73, 22, 70, 13, 61, 27, 75, 39, 87, 37, 85, 29, 77, 41, 89, 47, 95, 46, 94, 42, 90, 48, 96, 45, 93, 36, 84, 28, 76, 40, 88, 34, 82, 21, 69, 12, 60, 26, 74, 19, 67, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 118, 166)(106, 154, 117, 165)(110, 158, 125, 173)(111, 159, 123, 171)(112, 160, 121, 169)(113, 161, 122, 170)(114, 162, 124, 172)(116, 164, 130, 178)(119, 167, 133, 181)(120, 168, 132, 180)(126, 174, 138, 186)(127, 175, 137, 185)(128, 176, 135, 183)(129, 177, 136, 184)(131, 179, 141, 189)(134, 182, 142, 190)(139, 187, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 112)(8, 117)(9, 119)(10, 98)(11, 122)(12, 124)(13, 99)(14, 126)(15, 127)(16, 128)(17, 101)(18, 102)(19, 130)(20, 103)(21, 132)(22, 104)(23, 134)(24, 106)(25, 115)(26, 136)(27, 107)(28, 138)(29, 109)(30, 114)(31, 139)(32, 140)(33, 113)(34, 141)(35, 116)(36, 142)(37, 118)(38, 120)(39, 121)(40, 144)(41, 123)(42, 125)(43, 129)(44, 131)(45, 143)(46, 133)(47, 135)(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, 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 E21.1417
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-2 * Y3, (Y2 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^12, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 8, 56, 12, 60, 16, 64, 20, 68, 24, 72, 28, 76, 32, 80, 36, 84, 40, 88, 44, 92, 45, 93, 38, 86, 37, 85, 30, 78, 29, 77, 22, 70, 21, 69, 14, 62, 13, 61, 6, 54, 5, 53)(3, 51, 9, 57, 10, 58, 17, 65, 18, 66, 25, 73, 26, 74, 33, 81, 34, 82, 41, 89, 42, 90, 47, 95, 48, 96, 46, 94, 43, 91, 39, 87, 35, 83, 31, 79, 27, 75, 23, 71, 19, 67, 15, 63, 11, 59, 7, 55)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 107, 155)(101, 149, 105, 153)(102, 150, 106, 154)(104, 152, 111, 159)(108, 156, 115, 163)(109, 157, 113, 161)(110, 158, 114, 162)(112, 160, 119, 167)(116, 164, 123, 171)(117, 165, 121, 169)(118, 166, 122, 170)(120, 168, 127, 175)(124, 172, 131, 179)(125, 173, 129, 177)(126, 174, 130, 178)(128, 176, 135, 183)(132, 180, 139, 187)(133, 181, 137, 185)(134, 182, 138, 186)(136, 184, 142, 190)(140, 188, 144, 192)(141, 189, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 108)(5, 98)(6, 97)(7, 105)(8, 112)(9, 113)(10, 114)(11, 99)(12, 116)(13, 101)(14, 102)(15, 103)(16, 120)(17, 121)(18, 122)(19, 107)(20, 124)(21, 109)(22, 110)(23, 111)(24, 128)(25, 129)(26, 130)(27, 115)(28, 132)(29, 117)(30, 118)(31, 119)(32, 136)(33, 137)(34, 138)(35, 123)(36, 140)(37, 125)(38, 126)(39, 127)(40, 141)(41, 143)(42, 144)(43, 131)(44, 134)(45, 133)(46, 135)(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, 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 E21.1419
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 8, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y3 * Y1 * Y3^4 * Y1, (Y1^-1 * Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 14, 62, 25, 73, 35, 83, 42, 90, 33, 81, 17, 65, 6, 54, 10, 58, 22, 70, 15, 63, 4, 52, 9, 57, 21, 69, 37, 85, 32, 80, 34, 82, 18, 66, 26, 74, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 40, 88, 30, 78, 44, 92, 46, 94, 47, 95, 39, 87, 24, 72, 13, 61, 29, 77, 38, 86, 23, 71, 12, 60, 28, 76, 43, 91, 48, 96, 45, 93, 41, 89, 31, 79, 36, 84, 20, 68, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 120, 168)(106, 154, 119, 167)(110, 158, 127, 175)(111, 159, 125, 173)(112, 160, 123, 171)(113, 161, 124, 172)(114, 162, 126, 174)(115, 163, 132, 180)(117, 165, 135, 183)(118, 166, 134, 182)(121, 169, 137, 185)(122, 170, 136, 184)(128, 176, 142, 190)(129, 177, 139, 187)(130, 178, 140, 188)(131, 179, 141, 189)(133, 181, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 117)(8, 119)(9, 121)(10, 98)(11, 124)(12, 126)(13, 99)(14, 128)(15, 115)(16, 118)(17, 101)(18, 102)(19, 133)(20, 134)(21, 131)(22, 103)(23, 136)(24, 104)(25, 130)(26, 106)(27, 139)(28, 140)(29, 107)(30, 141)(31, 109)(32, 129)(33, 112)(34, 113)(35, 114)(36, 125)(37, 138)(38, 123)(39, 116)(40, 144)(41, 120)(42, 122)(43, 142)(44, 137)(45, 135)(46, 127)(47, 132)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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 E21.1418
Graph:: bipartite
	v = 26 e = 96 f = 30
	degree seq :: [ 4^24, 48^2 ]

E21.1424 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 16, 24})
Quotient :: edge
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^2, T1^-2 * T2^-1 * T1^2 * T2, T2^-1 * T1 * T2 * T1 * T2 * T1, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2 * T1^2 * T2^-1 * T1^-2, T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2, T2^6 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 38, 34, 13, 32, 44, 20, 6, 19, 42, 37, 17, 5)(2, 7, 22, 45, 35, 14, 4, 12, 30, 40, 18, 39, 33, 48, 26, 8)(9, 27, 47, 24, 16, 21, 11, 31, 43, 25, 41, 23, 46, 36, 15, 28)(49, 50, 54, 66, 86, 83, 65, 74, 92, 78, 58, 70, 90, 81, 61, 52)(51, 57, 67, 89, 82, 64, 53, 63, 68, 91, 77, 95, 85, 94, 80, 59)(55, 69, 87, 76, 62, 73, 56, 72, 88, 84, 93, 79, 96, 75, 60, 71)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1433
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1425 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 16, 24})
Quotient :: edge
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^2 * T2^-1 * T1^-2, T1 * T2^-2 * T1 * T2^-5, T2^-2 * T1 * T2^-2 * T1^7 ]
Map:: non-degenerate
	R = (1, 3, 10, 26, 39, 37, 34, 23, 21, 13, 29, 42, 48, 35, 20, 6, 19, 22, 36, 44, 47, 33, 17, 5)(2, 7, 11, 28, 43, 45, 31, 15, 14, 4, 12, 30, 40, 46, 32, 18, 16, 9, 25, 27, 41, 38, 24, 8)(49, 50, 54, 66, 82, 79, 81, 86, 96, 88, 74, 76, 84, 73, 61, 52)(51, 57, 67, 62, 71, 56, 65, 80, 83, 93, 87, 89, 92, 78, 77, 59)(53, 63, 68, 72, 85, 94, 95, 91, 90, 75, 58, 60, 70, 55, 69, 64)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^16 ), ( 32^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1429
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.1426 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 16, 24})
Quotient :: edge
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T1^-2 * T2^-1 * T1^2 * T2, T2 * T1^-1 * T2 * T1^-3, T1 * T2^2 * T1 * T2^5, T1^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 41, 43, 38, 24, 20, 6, 19, 35, 48, 42, 29, 13, 23, 22, 34, 36, 47, 33, 17, 5)(2, 7, 21, 37, 46, 32, 28, 15, 11, 18, 26, 40, 44, 30, 14, 4, 12, 9, 25, 39, 45, 31, 16, 8)(49, 50, 54, 66, 82, 73, 75, 85, 96, 92, 81, 79, 86, 76, 61, 52)(51, 57, 67, 69, 84, 88, 89, 93, 90, 80, 65, 62, 72, 56, 71, 59)(53, 63, 68, 60, 70, 55, 58, 74, 83, 87, 95, 94, 91, 78, 77, 64)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^16 ), ( 32^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1430
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.1427 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 16, 24})
Quotient :: edge
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-3, T1^-3 * T2^-1 * T1^-1 * T2^-1, (T2^-1, T1^-1, T2), T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 37, 36, 24, 44, 43, 23, 42, 48, 39, 30, 46, 41, 22, 40, 38, 20, 13, 17, 5)(2, 7, 21, 18, 16, 34, 33, 15, 32, 45, 27, 35, 47, 29, 11, 28, 26, 9, 25, 31, 14, 4, 12, 8)(49, 50, 54, 66, 84, 81, 91, 93, 96, 95, 94, 76, 88, 73, 61, 52)(51, 57, 67, 62, 72, 56, 71, 69, 87, 82, 89, 80, 86, 83, 65, 59)(53, 63, 58, 75, 85, 77, 92, 74, 90, 79, 78, 60, 70, 55, 68, 64)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^16 ), ( 32^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1432
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.1428 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 16, 24})
Quotient :: edge
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^3, T1^-1 * T2 * T1^-3 * T2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^2 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^2 * T2^-1, (T1^-1 * T2^-1)^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 22, 41, 43, 23, 42, 47, 31, 44, 48, 39, 20, 38, 40, 21, 36, 37, 19, 6, 17, 5)(2, 7, 14, 4, 12, 29, 30, 15, 32, 34, 16, 33, 46, 27, 35, 45, 26, 9, 25, 28, 11, 18, 24, 8)(49, 50, 54, 66, 84, 73, 86, 93, 96, 94, 95, 82, 91, 78, 61, 52)(51, 57, 65, 83, 85, 81, 88, 80, 87, 77, 79, 62, 71, 56, 70, 59)(53, 63, 67, 60, 69, 55, 68, 72, 92, 76, 90, 74, 89, 75, 58, 64)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^16 ), ( 32^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1431
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 16^3, 24^2 ]

E21.1429 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 16, 24})
Quotient :: loop
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T1^2 * T2^14, (T1^-1 * T2^-1 * T1^-2)^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 6, 54, 15, 63, 22, 70, 29, 77, 34, 82, 41, 89, 46, 94, 44, 92, 37, 85, 32, 80, 25, 73, 20, 68, 11, 59, 5, 53)(2, 50, 7, 55, 14, 62, 23, 71, 28, 76, 35, 83, 40, 88, 47, 95, 43, 91, 38, 86, 31, 79, 26, 74, 19, 67, 12, 60, 4, 52, 8, 56)(9, 57, 16, 64, 24, 72, 30, 78, 36, 84, 42, 90, 48, 96, 45, 93, 39, 87, 33, 81, 27, 75, 21, 69, 13, 61, 18, 66, 10, 58, 17, 65)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 58)(6, 62)(7, 64)(8, 65)(9, 63)(10, 51)(11, 52)(12, 66)(13, 53)(14, 70)(15, 72)(16, 71)(17, 55)(18, 56)(19, 59)(20, 61)(21, 60)(22, 76)(23, 78)(24, 77)(25, 67)(26, 69)(27, 68)(28, 82)(29, 84)(30, 83)(31, 73)(32, 75)(33, 74)(34, 88)(35, 90)(36, 89)(37, 79)(38, 81)(39, 80)(40, 94)(41, 96)(42, 95)(43, 85)(44, 87)(45, 86)(46, 91)(47, 93)(48, 92)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1425
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 5
	degree seq :: [ 32^3 ]

E21.1430 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 16, 24})
Quotient :: loop
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^2, T1^-2 * T2^-1 * T1^2 * T2, T2^-1 * T1 * T2 * T1 * T2 * T1, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T2 * T1^2 * T2^-1 * T1^-2, T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2, T2^6 * T1^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 38, 86, 34, 82, 13, 61, 32, 80, 44, 92, 20, 68, 6, 54, 19, 67, 42, 90, 37, 85, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 45, 93, 35, 83, 14, 62, 4, 52, 12, 60, 30, 78, 40, 88, 18, 66, 39, 87, 33, 81, 48, 96, 26, 74, 8, 56)(9, 57, 27, 75, 47, 95, 24, 72, 16, 64, 21, 69, 11, 59, 31, 79, 43, 91, 25, 73, 41, 89, 23, 71, 46, 94, 36, 84, 15, 63, 28, 76)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 86)(19, 89)(20, 91)(21, 87)(22, 90)(23, 55)(24, 88)(25, 56)(26, 92)(27, 60)(28, 62)(29, 95)(30, 58)(31, 96)(32, 59)(33, 61)(34, 64)(35, 65)(36, 93)(37, 94)(38, 83)(39, 76)(40, 84)(41, 82)(42, 81)(43, 77)(44, 78)(45, 79)(46, 80)(47, 85)(48, 75)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1426
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 5
	degree seq :: [ 32^3 ]

E21.1431 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 16, 24})
Quotient :: loop
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-2 * T1 * T2^2, T1^-1 * T2^2 * T1 * T2^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2^4 * T1^-3, T2^-3 * T1^-2 * T2^-3, T1^16 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 28, 76, 38, 86, 35, 83, 13, 61, 31, 79, 44, 92, 20, 68, 6, 54, 19, 67, 42, 90, 37, 85, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 46, 94, 36, 84, 14, 62, 4, 52, 12, 60, 29, 77, 40, 88, 18, 66, 39, 87, 34, 82, 48, 96, 26, 74, 8, 56)(9, 57, 25, 73, 47, 95, 23, 71, 16, 64, 32, 80, 11, 59, 30, 78, 43, 91, 33, 81, 41, 89, 24, 72, 45, 93, 21, 69, 15, 63, 27, 75)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 86)(19, 89)(20, 91)(21, 87)(22, 90)(23, 55)(24, 88)(25, 56)(26, 92)(27, 96)(28, 95)(29, 58)(30, 62)(31, 59)(32, 94)(33, 60)(34, 61)(35, 64)(36, 65)(37, 93)(38, 84)(39, 78)(40, 80)(41, 83)(42, 82)(43, 76)(44, 77)(45, 79)(46, 75)(47, 85)(48, 81)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1428
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 5
	degree seq :: [ 32^3 ]

E21.1432 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 16, 24})
Quotient :: loop
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^2 * T1 * T2, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1)^2, T2^2 * T1^14 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 6, 54, 15, 63, 26, 74, 39, 87, 46, 94, 42, 90, 48, 96, 41, 89, 47, 95, 40, 88, 37, 85, 23, 71, 11, 59, 5, 53)(2, 50, 7, 55, 14, 62, 27, 75, 38, 86, 36, 84, 45, 93, 35, 83, 44, 92, 34, 82, 43, 91, 33, 81, 22, 70, 12, 60, 4, 52, 8, 56)(9, 57, 19, 67, 28, 76, 24, 72, 32, 80, 18, 66, 31, 79, 17, 65, 30, 78, 16, 64, 29, 77, 25, 73, 13, 61, 21, 69, 10, 58, 20, 68)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 58)(6, 62)(7, 64)(8, 65)(9, 63)(10, 51)(11, 52)(12, 66)(13, 53)(14, 74)(15, 76)(16, 75)(17, 55)(18, 56)(19, 81)(20, 82)(21, 83)(22, 59)(23, 61)(24, 60)(25, 84)(26, 86)(27, 73)(28, 87)(29, 71)(30, 88)(31, 89)(32, 90)(33, 72)(34, 67)(35, 68)(36, 69)(37, 70)(38, 94)(39, 80)(40, 77)(41, 78)(42, 79)(43, 85)(44, 95)(45, 96)(46, 93)(47, 91)(48, 92)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1427
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 5
	degree seq :: [ 32^3 ]

E21.1433 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 16, 24})
Quotient :: loop
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T1^-2 * T2^-1 * T1^2 * T2, T2 * T1^-1 * T2 * T1^-3, T1 * T2^2 * T1 * T2^5, T1^16 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 41, 89, 43, 91, 38, 86, 24, 72, 20, 68, 6, 54, 19, 67, 35, 83, 48, 96, 42, 90, 29, 77, 13, 61, 23, 71, 22, 70, 34, 82, 36, 84, 47, 95, 33, 81, 17, 65, 5, 53)(2, 50, 7, 55, 21, 69, 37, 85, 46, 94, 32, 80, 28, 76, 15, 63, 11, 59, 18, 66, 26, 74, 40, 88, 44, 92, 30, 78, 14, 62, 4, 52, 12, 60, 9, 57, 25, 73, 39, 87, 45, 93, 31, 79, 16, 64, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 58)(8, 71)(9, 67)(10, 74)(11, 51)(12, 70)(13, 52)(14, 72)(15, 68)(16, 53)(17, 62)(18, 82)(19, 69)(20, 60)(21, 84)(22, 55)(23, 59)(24, 56)(25, 75)(26, 83)(27, 85)(28, 61)(29, 64)(30, 77)(31, 86)(32, 65)(33, 79)(34, 73)(35, 87)(36, 88)(37, 96)(38, 76)(39, 95)(40, 89)(41, 93)(42, 80)(43, 78)(44, 81)(45, 90)(46, 91)(47, 94)(48, 92)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1424
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
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 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y2 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1^-1 * Y2^2 * Y1^-3, Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y3^2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^16, Y1^16, Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 38, 86, 36, 84, 17, 65, 26, 74, 44, 92, 29, 77, 10, 58, 22, 70, 42, 90, 34, 82, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 41, 89, 35, 83, 16, 64, 5, 53, 15, 63, 20, 68, 43, 91, 28, 76, 47, 95, 37, 85, 45, 93, 31, 79, 11, 59)(7, 55, 21, 69, 39, 87, 30, 78, 14, 62, 25, 73, 8, 56, 24, 72, 40, 88, 32, 80, 46, 94, 27, 75, 48, 96, 33, 81, 12, 60, 23, 71)(97, 145, 99, 147, 106, 154, 124, 172, 134, 182, 131, 179, 109, 157, 127, 175, 140, 188, 116, 164, 102, 150, 115, 163, 138, 186, 133, 181, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 142, 190, 132, 180, 110, 158, 100, 148, 108, 156, 125, 173, 136, 184, 114, 162, 135, 183, 130, 178, 144, 192, 122, 170, 104, 152)(105, 153, 121, 169, 143, 191, 119, 167, 112, 160, 128, 176, 107, 155, 126, 174, 139, 187, 129, 177, 137, 185, 120, 168, 141, 189, 117, 165, 111, 159, 123, 171)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 125)(11, 127)(12, 129)(13, 130)(14, 126)(15, 101)(16, 131)(17, 132)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 142)(28, 139)(29, 140)(30, 135)(31, 141)(32, 136)(33, 144)(34, 138)(35, 137)(36, 134)(37, 143)(38, 114)(39, 117)(40, 120)(41, 115)(42, 118)(43, 116)(44, 122)(45, 133)(46, 128)(47, 124)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1443
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.1435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
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 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1^2, Y1 * Y2^-2 * Y1 * Y2^-5, Y2^-1 * Y1 * Y2^-1 * Y1^11, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 34, 82, 31, 79, 33, 81, 38, 86, 48, 96, 40, 88, 26, 74, 28, 76, 36, 84, 25, 73, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 14, 62, 23, 71, 8, 56, 17, 65, 32, 80, 35, 83, 45, 93, 39, 87, 41, 89, 44, 92, 30, 78, 29, 77, 11, 59)(5, 53, 15, 63, 20, 68, 24, 72, 37, 85, 46, 94, 47, 95, 43, 91, 42, 90, 27, 75, 10, 58, 12, 60, 22, 70, 7, 55, 21, 69, 16, 64)(97, 145, 99, 147, 106, 154, 122, 170, 135, 183, 133, 181, 130, 178, 119, 167, 117, 165, 109, 157, 125, 173, 138, 186, 144, 192, 131, 179, 116, 164, 102, 150, 115, 163, 118, 166, 132, 180, 140, 188, 143, 191, 129, 177, 113, 161, 101, 149)(98, 146, 103, 151, 107, 155, 124, 172, 139, 187, 141, 189, 127, 175, 111, 159, 110, 158, 100, 148, 108, 156, 126, 174, 136, 184, 142, 190, 128, 176, 114, 162, 112, 160, 105, 153, 121, 169, 123, 171, 137, 185, 134, 182, 120, 168, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 107)(8, 98)(9, 121)(10, 122)(11, 124)(12, 126)(13, 125)(14, 100)(15, 110)(16, 105)(17, 101)(18, 112)(19, 118)(20, 102)(21, 109)(22, 132)(23, 117)(24, 104)(25, 123)(26, 135)(27, 137)(28, 139)(29, 138)(30, 136)(31, 111)(32, 114)(33, 113)(34, 119)(35, 116)(36, 140)(37, 130)(38, 120)(39, 133)(40, 142)(41, 134)(42, 144)(43, 141)(44, 143)(45, 127)(46, 128)(47, 129)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1440
Graph:: bipartite
	v = 5 e = 96 f = 51
	degree seq :: [ 32^3, 48^2 ]

E21.1436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
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 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-2, Y1^-2 * Y2^-1 * Y1^2 * Y2, Y1^3 * Y2^-1 * Y1 * Y2^-1, Y2^5 * Y1 * Y2^2 * Y1, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 34, 82, 25, 73, 27, 75, 37, 85, 48, 96, 44, 92, 33, 81, 31, 79, 38, 86, 28, 76, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 21, 69, 36, 84, 40, 88, 41, 89, 45, 93, 42, 90, 32, 80, 17, 65, 14, 62, 24, 72, 8, 56, 23, 71, 11, 59)(5, 53, 15, 63, 20, 68, 12, 60, 22, 70, 7, 55, 10, 58, 26, 74, 35, 83, 39, 87, 47, 95, 46, 94, 43, 91, 30, 78, 29, 77, 16, 64)(97, 145, 99, 147, 106, 154, 123, 171, 137, 185, 139, 187, 134, 182, 120, 168, 116, 164, 102, 150, 115, 163, 131, 179, 144, 192, 138, 186, 125, 173, 109, 157, 119, 167, 118, 166, 130, 178, 132, 180, 143, 191, 129, 177, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 133, 181, 142, 190, 128, 176, 124, 172, 111, 159, 107, 155, 114, 162, 122, 170, 136, 184, 140, 188, 126, 174, 110, 158, 100, 148, 108, 156, 105, 153, 121, 169, 135, 183, 141, 189, 127, 175, 112, 160, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 121)(10, 123)(11, 114)(12, 105)(13, 119)(14, 100)(15, 107)(16, 104)(17, 101)(18, 122)(19, 131)(20, 102)(21, 133)(22, 130)(23, 118)(24, 116)(25, 135)(26, 136)(27, 137)(28, 111)(29, 109)(30, 110)(31, 112)(32, 124)(33, 113)(34, 132)(35, 144)(36, 143)(37, 142)(38, 120)(39, 141)(40, 140)(41, 139)(42, 125)(43, 134)(44, 126)(45, 127)(46, 128)(47, 129)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1441
Graph:: bipartite
	v = 5 e = 96 f = 51
	degree seq :: [ 32^3, 48^2 ]

E21.1437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
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 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^3, Y2 * Y1^-1 * Y2 * Y1^-3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^2 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^2 * Y2^-1, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 25, 73, 38, 86, 45, 93, 48, 96, 46, 94, 47, 95, 34, 82, 43, 91, 30, 78, 13, 61, 4, 52)(3, 51, 9, 57, 17, 65, 35, 83, 37, 85, 33, 81, 40, 88, 32, 80, 39, 87, 29, 77, 31, 79, 14, 62, 23, 71, 8, 56, 22, 70, 11, 59)(5, 53, 15, 63, 19, 67, 12, 60, 21, 69, 7, 55, 20, 68, 24, 72, 44, 92, 28, 76, 42, 90, 26, 74, 41, 89, 27, 75, 10, 58, 16, 64)(97, 145, 99, 147, 106, 154, 109, 157, 118, 166, 137, 185, 139, 187, 119, 167, 138, 186, 143, 191, 127, 175, 140, 188, 144, 192, 135, 183, 116, 164, 134, 182, 136, 184, 117, 165, 132, 180, 133, 181, 115, 163, 102, 150, 113, 161, 101, 149)(98, 146, 103, 151, 110, 158, 100, 148, 108, 156, 125, 173, 126, 174, 111, 159, 128, 176, 130, 178, 112, 160, 129, 177, 142, 190, 123, 171, 131, 179, 141, 189, 122, 170, 105, 153, 121, 169, 124, 172, 107, 155, 114, 162, 120, 168, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 110)(8, 98)(9, 121)(10, 109)(11, 114)(12, 125)(13, 118)(14, 100)(15, 128)(16, 129)(17, 101)(18, 120)(19, 102)(20, 134)(21, 132)(22, 137)(23, 138)(24, 104)(25, 124)(26, 105)(27, 131)(28, 107)(29, 126)(30, 111)(31, 140)(32, 130)(33, 142)(34, 112)(35, 141)(36, 133)(37, 115)(38, 136)(39, 116)(40, 117)(41, 139)(42, 143)(43, 119)(44, 144)(45, 122)(46, 123)(47, 127)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1439
Graph:: bipartite
	v = 5 e = 96 f = 51
	degree seq :: [ 32^3, 48^2 ]

E21.1438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
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 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-3, Y2 * Y1 * Y2 * Y1^3, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-2 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-1, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 33, 81, 43, 91, 45, 93, 48, 96, 47, 95, 46, 94, 28, 76, 40, 88, 25, 73, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 14, 62, 24, 72, 8, 56, 23, 71, 21, 69, 39, 87, 34, 82, 41, 89, 32, 80, 38, 86, 35, 83, 17, 65, 11, 59)(5, 53, 15, 63, 10, 58, 27, 75, 37, 85, 29, 77, 44, 92, 26, 74, 42, 90, 31, 79, 30, 78, 12, 60, 22, 70, 7, 55, 20, 68, 16, 64)(97, 145, 99, 147, 106, 154, 102, 150, 115, 163, 133, 181, 132, 180, 120, 168, 140, 188, 139, 187, 119, 167, 138, 186, 144, 192, 135, 183, 126, 174, 142, 190, 137, 185, 118, 166, 136, 184, 134, 182, 116, 164, 109, 157, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 114, 162, 112, 160, 130, 178, 129, 177, 111, 159, 128, 176, 141, 189, 123, 171, 131, 179, 143, 191, 125, 173, 107, 155, 124, 172, 122, 170, 105, 153, 121, 169, 127, 175, 110, 158, 100, 148, 108, 156, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 121)(10, 102)(11, 124)(12, 104)(13, 113)(14, 100)(15, 128)(16, 130)(17, 101)(18, 112)(19, 133)(20, 109)(21, 114)(22, 136)(23, 138)(24, 140)(25, 127)(26, 105)(27, 131)(28, 122)(29, 107)(30, 142)(31, 110)(32, 141)(33, 111)(34, 129)(35, 143)(36, 120)(37, 132)(38, 116)(39, 126)(40, 134)(41, 118)(42, 144)(43, 119)(44, 139)(45, 123)(46, 137)(47, 125)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1442
Graph:: bipartite
	v = 5 e = 96 f = 51
	degree seq :: [ 32^3, 48^2 ]

E21.1439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * Y3 * R * Y2^-1, Y2 * Y3^2 * Y2 * Y3^-1, Y2 * Y3 * Y2^3 * Y3, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^-5 * Y2 * Y3^-2 * Y2, Y2 * Y3^-5 * Y2 * Y3^-2, Y3^-2 * Y2^4 * Y3^-4, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 130, 178, 127, 175, 129, 177, 134, 182, 144, 192, 136, 184, 122, 170, 124, 172, 132, 180, 121, 169, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 110, 158, 119, 167, 104, 152, 113, 161, 128, 176, 131, 179, 141, 189, 135, 183, 137, 185, 140, 188, 126, 174, 125, 173, 107, 155)(101, 149, 111, 159, 116, 164, 120, 168, 133, 181, 142, 190, 143, 191, 139, 187, 138, 186, 123, 171, 106, 154, 108, 156, 118, 166, 103, 151, 117, 165, 112, 160)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 107)(8, 98)(9, 121)(10, 122)(11, 124)(12, 126)(13, 125)(14, 100)(15, 110)(16, 105)(17, 101)(18, 112)(19, 118)(20, 102)(21, 109)(22, 132)(23, 117)(24, 104)(25, 123)(26, 135)(27, 137)(28, 139)(29, 138)(30, 136)(31, 111)(32, 114)(33, 113)(34, 119)(35, 116)(36, 140)(37, 130)(38, 120)(39, 133)(40, 142)(41, 134)(42, 144)(43, 141)(44, 143)(45, 127)(46, 128)(47, 129)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1437
Graph:: simple bipartite
	v = 51 e = 96 f = 5
	degree seq :: [ 2^48, 32^3 ]

E21.1440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-3, Y3^5 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 130, 178, 121, 169, 123, 171, 133, 181, 144, 192, 140, 188, 129, 177, 127, 175, 134, 182, 124, 172, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 117, 165, 132, 180, 136, 184, 137, 185, 141, 189, 138, 186, 128, 176, 113, 161, 110, 158, 120, 168, 104, 152, 119, 167, 107, 155)(101, 149, 111, 159, 116, 164, 108, 156, 118, 166, 103, 151, 106, 154, 122, 170, 131, 179, 135, 183, 143, 191, 142, 190, 139, 187, 126, 174, 125, 173, 112, 160)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 121)(10, 123)(11, 114)(12, 105)(13, 119)(14, 100)(15, 107)(16, 104)(17, 101)(18, 122)(19, 131)(20, 102)(21, 133)(22, 130)(23, 118)(24, 116)(25, 135)(26, 136)(27, 137)(28, 111)(29, 109)(30, 110)(31, 112)(32, 124)(33, 113)(34, 132)(35, 144)(36, 143)(37, 142)(38, 120)(39, 141)(40, 140)(41, 139)(42, 125)(43, 134)(44, 126)(45, 127)(46, 128)(47, 129)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1435
Graph:: simple bipartite
	v = 51 e = 96 f = 5
	degree seq :: [ 2^48, 32^3 ]

E21.1441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-3 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-3 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^2 * Y2^7 * Y3^2, (Y2^-1 * Y3)^16, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 132, 180, 129, 177, 139, 187, 141, 189, 144, 192, 143, 191, 142, 190, 124, 172, 136, 184, 121, 169, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 110, 158, 120, 168, 104, 152, 119, 167, 117, 165, 135, 183, 130, 178, 137, 185, 128, 176, 134, 182, 131, 179, 113, 161, 107, 155)(101, 149, 111, 159, 106, 154, 123, 171, 133, 181, 125, 173, 140, 188, 122, 170, 138, 186, 127, 175, 126, 174, 108, 156, 118, 166, 103, 151, 116, 164, 112, 160)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 121)(10, 102)(11, 124)(12, 104)(13, 113)(14, 100)(15, 128)(16, 130)(17, 101)(18, 112)(19, 133)(20, 109)(21, 114)(22, 136)(23, 138)(24, 140)(25, 127)(26, 105)(27, 131)(28, 122)(29, 107)(30, 142)(31, 110)(32, 141)(33, 111)(34, 129)(35, 143)(36, 120)(37, 132)(38, 116)(39, 126)(40, 134)(41, 118)(42, 144)(43, 119)(44, 139)(45, 123)(46, 137)(47, 125)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1436
Graph:: simple bipartite
	v = 51 e = 96 f = 5
	degree seq :: [ 2^48, 32^3 ]

E21.1442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^2 * Y3, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^2 * Y3 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-3 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 132, 180, 121, 169, 134, 182, 141, 189, 144, 192, 142, 190, 143, 191, 130, 178, 139, 187, 126, 174, 109, 157, 100, 148)(99, 147, 105, 153, 113, 161, 131, 179, 133, 181, 129, 177, 136, 184, 128, 176, 135, 183, 125, 173, 127, 175, 110, 158, 119, 167, 104, 152, 118, 166, 107, 155)(101, 149, 111, 159, 115, 163, 108, 156, 117, 165, 103, 151, 116, 164, 120, 168, 140, 188, 124, 172, 138, 186, 122, 170, 137, 185, 123, 171, 106, 154, 112, 160)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 113)(7, 110)(8, 98)(9, 121)(10, 109)(11, 114)(12, 125)(13, 118)(14, 100)(15, 128)(16, 129)(17, 101)(18, 120)(19, 102)(20, 134)(21, 132)(22, 137)(23, 138)(24, 104)(25, 124)(26, 105)(27, 131)(28, 107)(29, 126)(30, 111)(31, 140)(32, 130)(33, 142)(34, 112)(35, 141)(36, 133)(37, 115)(38, 136)(39, 116)(40, 117)(41, 139)(42, 143)(43, 119)(44, 144)(45, 122)(46, 123)(47, 127)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1438
Graph:: simple bipartite
	v = 51 e = 96 f = 5
	degree seq :: [ 2^48, 32^3 ]

E21.1443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 16, 24})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y1^-1 * Y3^2 * Y1, Y1 * Y3^-1 * Y1 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^2 * Y3 * Y1^3, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 34, 82, 47, 95, 41, 89, 27, 75, 26, 74, 10, 58, 21, 69, 37, 85, 48, 96, 45, 93, 32, 80, 17, 65, 23, 71, 25, 73, 39, 87, 40, 88, 42, 90, 29, 77, 13, 61, 4, 52)(3, 51, 9, 57, 24, 72, 35, 83, 44, 92, 30, 78, 28, 76, 12, 60, 8, 56, 22, 70, 19, 67, 36, 84, 43, 91, 33, 81, 16, 64, 5, 53, 15, 63, 7, 55, 20, 68, 38, 86, 46, 94, 31, 79, 14, 62, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 117)(8, 98)(9, 102)(10, 118)(11, 119)(12, 122)(13, 112)(14, 100)(15, 121)(16, 123)(17, 101)(18, 131)(19, 133)(20, 114)(21, 120)(22, 135)(23, 104)(24, 136)(25, 105)(26, 111)(27, 107)(28, 113)(29, 127)(30, 109)(31, 137)(32, 110)(33, 128)(34, 142)(35, 144)(36, 130)(37, 134)(38, 138)(39, 116)(40, 132)(41, 124)(42, 140)(43, 125)(44, 143)(45, 126)(46, 141)(47, 129)(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) :: { ( 32, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1434
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1444 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 24, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^-12, T1^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 47, 39, 46, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 45, 48, 41, 31, 40, 34, 25, 14, 24, 18, 8)(49, 50, 54, 62, 71, 79, 87, 86, 78, 70, 59, 52)(51, 55, 63, 72, 80, 88, 94, 93, 85, 77, 69, 58)(53, 56, 64, 73, 81, 89, 95, 91, 83, 75, 67, 60)(57, 65, 61, 66, 74, 82, 90, 96, 92, 84, 76, 68)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1445
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 12^4, 24^2 ]

E21.1445 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 24, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-2 * T2^-4, T1^-12, T1^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 11, 59, 21, 69, 28, 76, 35, 83, 30, 78, 37, 85, 44, 92, 47, 95, 39, 87, 46, 94, 42, 90, 33, 81, 23, 71, 32, 80, 26, 74, 16, 64, 6, 54, 15, 63, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 12, 60, 4, 52, 10, 58, 20, 68, 27, 75, 22, 70, 29, 77, 36, 84, 43, 91, 38, 86, 45, 93, 48, 96, 41, 89, 31, 79, 40, 88, 34, 82, 25, 73, 14, 62, 24, 72, 18, 66, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 71)(15, 72)(16, 73)(17, 61)(18, 74)(19, 60)(20, 57)(21, 58)(22, 59)(23, 79)(24, 80)(25, 81)(26, 82)(27, 67)(28, 68)(29, 69)(30, 70)(31, 87)(32, 88)(33, 89)(34, 90)(35, 75)(36, 76)(37, 77)(38, 78)(39, 86)(40, 94)(41, 95)(42, 96)(43, 83)(44, 84)(45, 85)(46, 93)(47, 91)(48, 92)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1444
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y1^-2, Y3^12, Y1^12, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 23, 71, 31, 79, 39, 87, 38, 86, 30, 78, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 32, 80, 40, 88, 46, 94, 45, 93, 37, 85, 29, 77, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 25, 73, 33, 81, 41, 89, 47, 95, 43, 91, 35, 83, 27, 75, 19, 67, 12, 60)(9, 57, 17, 65, 13, 61, 18, 66, 26, 74, 34, 82, 42, 90, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68)(97, 145, 99, 147, 105, 153, 115, 163, 107, 155, 117, 165, 124, 172, 131, 179, 126, 174, 133, 181, 140, 188, 143, 191, 135, 183, 142, 190, 138, 186, 129, 177, 119, 167, 128, 176, 122, 170, 112, 160, 102, 150, 111, 159, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 108, 156, 100, 148, 106, 154, 116, 164, 123, 171, 118, 166, 125, 173, 132, 180, 139, 187, 134, 182, 141, 189, 144, 192, 137, 185, 127, 175, 136, 184, 130, 178, 121, 169, 110, 158, 120, 168, 114, 162, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 115)(13, 113)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 123)(20, 124)(21, 125)(22, 126)(23, 110)(24, 111)(25, 112)(26, 114)(27, 131)(28, 132)(29, 133)(30, 134)(31, 119)(32, 120)(33, 121)(34, 122)(35, 139)(36, 140)(37, 141)(38, 135)(39, 127)(40, 128)(41, 129)(42, 130)(43, 143)(44, 144)(45, 142)(46, 136)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1447
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 24^4, 48^2 ]

E21.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-12, Y3^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 13, 61, 18, 66, 24, 72, 31, 79, 30, 78, 34, 82, 40, 88, 46, 94, 43, 91, 48, 96, 45, 93, 36, 84, 27, 75, 33, 81, 29, 77, 20, 68, 9, 57, 17, 65, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 12, 60, 5, 53, 8, 56, 16, 64, 23, 71, 22, 70, 26, 74, 32, 80, 39, 87, 38, 86, 42, 90, 47, 95, 44, 92, 35, 83, 41, 89, 37, 85, 28, 76, 19, 67, 25, 73, 21, 69, 10, 58)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 108)(15, 107)(16, 102)(17, 121)(18, 104)(19, 123)(20, 124)(21, 125)(22, 109)(23, 110)(24, 112)(25, 129)(26, 114)(27, 131)(28, 132)(29, 133)(30, 118)(31, 119)(32, 120)(33, 137)(34, 122)(35, 139)(36, 140)(37, 141)(38, 126)(39, 127)(40, 128)(41, 144)(42, 130)(43, 134)(44, 142)(45, 143)(46, 135)(47, 136)(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) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1446
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1448 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, (T1 * T2^2)^2, T1^-2 * T2 * T1^2 * T2^-1, T1^-2 * T2 * T1^-1 * T2^-1 * T1^-3, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, 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^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-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 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 13, 32, 48, 24, 45, 21, 44, 25, 47, 23, 46, 36, 38, 34, 43, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 42, 35, 41, 37, 15, 28, 9, 27, 16, 33, 11, 31, 40, 18, 39, 26, 8)(49, 50, 54, 66, 86, 81, 95, 76, 93, 83, 61, 52)(51, 57, 67, 89, 82, 60, 71, 55, 69, 87, 80, 59)(53, 63, 68, 90, 84, 62, 73, 56, 72, 88, 77, 64)(58, 70, 65, 74, 91, 79, 94, 75, 92, 85, 96, 78)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^12 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.1449
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 12^4, 24^2 ]

E21.1449 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, (T1 * T2^2)^2, T1^-2 * T2 * T1^2 * T2^-1, T1^-2 * T2 * T1^-1 * T2^-1 * T1^-3, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, 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^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-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 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 13, 61, 32, 80, 48, 96, 24, 72, 45, 93, 21, 69, 44, 92, 25, 73, 47, 95, 23, 71, 46, 94, 36, 84, 38, 86, 34, 82, 43, 91, 20, 68, 6, 54, 19, 67, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 14, 62, 4, 52, 12, 60, 30, 78, 42, 90, 35, 83, 41, 89, 37, 85, 15, 63, 28, 76, 9, 57, 27, 75, 16, 64, 33, 81, 11, 59, 31, 79, 40, 88, 18, 66, 39, 87, 26, 74, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 86)(19, 89)(20, 90)(21, 87)(22, 65)(23, 55)(24, 88)(25, 56)(26, 91)(27, 92)(28, 93)(29, 64)(30, 58)(31, 94)(32, 59)(33, 95)(34, 60)(35, 61)(36, 62)(37, 96)(38, 81)(39, 80)(40, 77)(41, 82)(42, 84)(43, 79)(44, 85)(45, 83)(46, 75)(47, 76)(48, 78)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.1448
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y3 * Y2^-2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^3 * Y1^-3, Y3^3 * Y2^-1 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2^2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^7, (Y1^-1 * Y3)^6, Y2 * Y3 * Y2^2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 38, 86, 33, 81, 47, 95, 28, 76, 45, 93, 35, 83, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 41, 89, 34, 82, 12, 60, 23, 71, 7, 55, 21, 69, 39, 87, 32, 80, 11, 59)(5, 53, 15, 63, 20, 68, 42, 90, 36, 84, 14, 62, 25, 73, 8, 56, 24, 72, 40, 88, 29, 77, 16, 64)(10, 58, 22, 70, 17, 65, 26, 74, 43, 91, 31, 79, 46, 94, 27, 75, 44, 92, 37, 85, 48, 96, 30, 78)(97, 145, 99, 147, 106, 154, 125, 173, 109, 157, 128, 176, 144, 192, 120, 168, 141, 189, 117, 165, 140, 188, 121, 169, 143, 191, 119, 167, 142, 190, 132, 180, 134, 182, 130, 178, 139, 187, 116, 164, 102, 150, 115, 163, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 110, 158, 100, 148, 108, 156, 126, 174, 138, 186, 131, 179, 137, 185, 133, 181, 111, 159, 124, 172, 105, 153, 123, 171, 112, 160, 129, 177, 107, 155, 127, 175, 136, 184, 114, 162, 135, 183, 122, 170, 104, 152)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 126)(11, 128)(12, 130)(13, 131)(14, 132)(15, 101)(16, 125)(17, 118)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 142)(28, 143)(29, 136)(30, 144)(31, 139)(32, 135)(33, 134)(34, 137)(35, 141)(36, 138)(37, 140)(38, 114)(39, 117)(40, 120)(41, 115)(42, 116)(43, 122)(44, 123)(45, 124)(46, 127)(47, 129)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1451
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 24^4, 48^2 ]

E21.1451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^2 * Y1^4, (Y1^-1 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-4 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3, Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-2 * Y3^3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 17, 65, 26, 74, 40, 88, 31, 79, 44, 92, 27, 75, 41, 89, 33, 81, 45, 93, 28, 76, 42, 90, 36, 84, 47, 95, 35, 83, 46, 94, 30, 78, 10, 58, 22, 70, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 16, 64, 5, 53, 15, 63, 20, 68, 39, 87, 37, 85, 43, 91, 34, 82, 12, 60, 23, 71, 7, 55, 21, 69, 14, 62, 25, 73, 8, 56, 24, 72, 38, 86, 29, 77, 48, 96, 32, 80, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 128)(14, 100)(15, 124)(16, 129)(17, 101)(18, 110)(19, 109)(20, 102)(21, 137)(22, 139)(23, 140)(24, 138)(25, 141)(26, 104)(27, 144)(28, 105)(29, 143)(30, 135)(31, 134)(32, 142)(33, 107)(34, 136)(35, 111)(36, 112)(37, 113)(38, 114)(39, 132)(40, 116)(41, 130)(42, 117)(43, 131)(44, 133)(45, 119)(46, 120)(47, 121)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1450
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.1452 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 42, 45, 36, 27, 14, 25, 13, 5)(2, 7, 17, 23, 11, 21, 31, 38, 41, 48, 44, 35, 26, 29, 18, 8)(4, 10, 20, 30, 33, 40, 47, 43, 34, 37, 28, 16, 6, 15, 24, 12)(49, 50, 54, 62, 74, 82, 90, 89, 81, 70, 59, 52)(51, 55, 63, 73, 77, 85, 93, 96, 88, 80, 69, 58)(53, 56, 64, 75, 83, 91, 94, 86, 78, 67, 71, 60)(57, 65, 72, 61, 66, 76, 84, 92, 95, 87, 79, 68)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 96^12 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1460
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 48 f = 1
	degree seq :: [ 12^4, 16^3 ]

E21.1453 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^4, T1^12, T1^-36 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 48, 40, 31, 22, 25, 13, 5)(2, 7, 17, 29, 26, 35, 44, 46, 38, 41, 32, 23, 11, 21, 18, 8)(4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 47, 39, 30, 33, 24, 12)(49, 50, 54, 62, 74, 82, 90, 86, 78, 70, 59, 52)(51, 55, 63, 75, 83, 91, 96, 89, 81, 73, 69, 58)(53, 56, 64, 67, 77, 85, 93, 94, 87, 79, 71, 60)(57, 65, 76, 84, 92, 95, 88, 80, 72, 61, 66, 68)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 96^12 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1461
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 48 f = 1
	degree seq :: [ 12^4, 16^3 ]

E21.1454 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^16, 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, 8, 2, 7, 14, 6, 13, 20, 12, 19, 26, 18, 25, 32, 24, 31, 38, 30, 37, 44, 36, 43, 48, 42, 47, 46, 40, 45, 41, 34, 39, 35, 28, 33, 29, 22, 27, 23, 16, 21, 17, 10, 15, 11, 4, 9, 5)(49, 50, 54, 60, 66, 72, 78, 84, 90, 88, 82, 76, 70, 64, 58, 52)(51, 55, 61, 67, 73, 79, 85, 91, 95, 93, 87, 81, 75, 69, 63, 57)(53, 56, 62, 68, 74, 80, 86, 92, 96, 94, 89, 83, 77, 71, 65, 59)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^16 ), ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1462
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.1455 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-5 * T1, T1^-4 * T2^-1 * T1^-1 * T2^-2 * T1^-2, (T1^-1 * T2^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 44, 48, 41, 26, 40, 36, 22, 34, 45, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 43, 28, 14, 27, 42, 35, 46, 47, 39, 37, 23, 11, 21, 33, 25, 13, 5)(49, 50, 54, 62, 74, 87, 86, 73, 80, 67, 79, 92, 83, 70, 59, 52)(51, 55, 63, 75, 88, 85, 72, 61, 66, 78, 91, 96, 94, 82, 69, 58)(53, 56, 64, 76, 89, 95, 93, 81, 68, 57, 65, 77, 90, 84, 71, 60)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^16 ), ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1463
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 16^3, 48 ]

E21.1456 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2 * T1^4, T2^12, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 37, 29, 21, 13, 5)(2, 7, 15, 23, 31, 39, 46, 40, 32, 24, 16, 8)(4, 10, 18, 26, 34, 42, 47, 44, 36, 28, 20, 12)(6, 11, 19, 27, 35, 43, 48, 45, 38, 30, 22, 14)(49, 50, 54, 60, 53, 56, 62, 68, 61, 64, 70, 76, 69, 72, 78, 84, 77, 80, 86, 92, 85, 88, 93, 95, 89, 94, 96, 90, 81, 87, 91, 82, 73, 79, 83, 74, 65, 71, 75, 66, 57, 63, 67, 58, 51, 55, 59, 52)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^12 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1458
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.1457 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 16, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1^-7 * T2^-1, T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 26, 43, 37, 41, 25, 13, 5)(2, 7, 17, 31, 46, 42, 38, 22, 36, 32, 18, 8)(4, 10, 20, 34, 28, 14, 27, 44, 48, 40, 24, 12)(6, 15, 29, 45, 47, 39, 23, 11, 21, 35, 30, 16)(49, 50, 54, 62, 74, 90, 87, 72, 61, 66, 78, 82, 67, 79, 93, 96, 89, 84, 69, 58, 51, 55, 63, 75, 91, 86, 71, 60, 53, 56, 64, 76, 81, 94, 95, 88, 73, 80, 83, 68, 57, 65, 77, 92, 85, 70, 59, 52)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^12 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1459
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 3
	degree seq :: [ 12^4, 48 ]

E21.1458 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 22, 70, 32, 80, 39, 87, 46, 94, 42, 90, 45, 93, 36, 84, 27, 75, 14, 62, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 23, 71, 11, 59, 21, 69, 31, 79, 38, 86, 41, 89, 48, 96, 44, 92, 35, 83, 26, 74, 29, 77, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 30, 78, 33, 81, 40, 88, 47, 95, 43, 91, 34, 82, 37, 85, 28, 76, 16, 64, 6, 54, 15, 63, 24, 72, 12, 60)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 73)(16, 75)(17, 72)(18, 76)(19, 71)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 77)(26, 82)(27, 83)(28, 84)(29, 85)(30, 67)(31, 68)(32, 69)(33, 70)(34, 90)(35, 91)(36, 92)(37, 93)(38, 78)(39, 79)(40, 80)(41, 81)(42, 89)(43, 94)(44, 95)(45, 96)(46, 86)(47, 87)(48, 88)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1456
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 5
	degree seq :: [ 32^3 ]

E21.1459 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^4, T1^12, T1^-36 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 14, 62, 27, 75, 36, 84, 45, 93, 42, 90, 48, 96, 40, 88, 31, 79, 22, 70, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 29, 77, 26, 74, 35, 83, 44, 92, 46, 94, 38, 86, 41, 89, 32, 80, 23, 71, 11, 59, 21, 69, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 16, 64, 6, 54, 15, 63, 28, 76, 37, 85, 34, 82, 43, 91, 47, 95, 39, 87, 30, 78, 33, 81, 24, 72, 12, 60)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 67)(17, 76)(18, 68)(19, 77)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 69)(26, 82)(27, 83)(28, 84)(29, 85)(30, 70)(31, 71)(32, 72)(33, 73)(34, 90)(35, 91)(36, 92)(37, 93)(38, 78)(39, 79)(40, 80)(41, 81)(42, 86)(43, 96)(44, 95)(45, 94)(46, 87)(47, 88)(48, 89)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1457
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 5
	degree seq :: [ 32^3 ]

E21.1460 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^16, 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, 49, 3, 51, 8, 56, 2, 50, 7, 55, 14, 62, 6, 54, 13, 61, 20, 68, 12, 60, 19, 67, 26, 74, 18, 66, 25, 73, 32, 80, 24, 72, 31, 79, 38, 86, 30, 78, 37, 85, 44, 92, 36, 84, 43, 91, 48, 96, 42, 90, 47, 95, 46, 94, 40, 88, 45, 93, 41, 89, 34, 82, 39, 87, 35, 83, 28, 76, 33, 81, 29, 77, 22, 70, 27, 75, 23, 71, 16, 64, 21, 69, 17, 65, 10, 58, 15, 63, 11, 59, 4, 52, 9, 57, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 60)(7, 61)(8, 62)(9, 51)(10, 52)(11, 53)(12, 66)(13, 67)(14, 68)(15, 57)(16, 58)(17, 59)(18, 72)(19, 73)(20, 74)(21, 63)(22, 64)(23, 65)(24, 78)(25, 79)(26, 80)(27, 69)(28, 70)(29, 71)(30, 84)(31, 85)(32, 86)(33, 75)(34, 76)(35, 77)(36, 90)(37, 91)(38, 92)(39, 81)(40, 82)(41, 83)(42, 88)(43, 95)(44, 96)(45, 87)(46, 89)(47, 93)(48, 94)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1452
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 7
	degree seq :: [ 96 ]

E21.1461 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-5 * T1, T1^-4 * T2^-1 * T1^-1 * T2^-2 * T1^-2, (T1^-1 * T2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 44, 92, 48, 96, 41, 89, 26, 74, 40, 88, 36, 84, 22, 70, 34, 82, 45, 93, 38, 86, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 32, 80, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 43, 91, 28, 76, 14, 62, 27, 75, 42, 90, 35, 83, 46, 94, 47, 95, 39, 87, 37, 85, 23, 71, 11, 59, 21, 69, 33, 81, 25, 73, 13, 61, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 87)(27, 88)(28, 89)(29, 90)(30, 91)(31, 92)(32, 67)(33, 68)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 86)(40, 85)(41, 95)(42, 84)(43, 96)(44, 83)(45, 81)(46, 82)(47, 93)(48, 94)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1453
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 7
	degree seq :: [ 96 ]

E21.1462 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2 * T1^4, T2^12, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 37, 85, 29, 77, 21, 69, 13, 61, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 46, 94, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)(4, 52, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 47, 95, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60)(6, 54, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 48, 96, 45, 93, 38, 86, 30, 78, 22, 70, 14, 62)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 60)(7, 59)(8, 62)(9, 63)(10, 51)(11, 52)(12, 53)(13, 64)(14, 68)(15, 67)(16, 70)(17, 71)(18, 57)(19, 58)(20, 61)(21, 72)(22, 76)(23, 75)(24, 78)(25, 79)(26, 65)(27, 66)(28, 69)(29, 80)(30, 84)(31, 83)(32, 86)(33, 87)(34, 73)(35, 74)(36, 77)(37, 88)(38, 92)(39, 91)(40, 93)(41, 94)(42, 81)(43, 82)(44, 85)(45, 95)(46, 96)(47, 89)(48, 90)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1454
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1463 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 16, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1^-7 * T2^-1, T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 26, 74, 43, 91, 37, 85, 41, 89, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 46, 94, 42, 90, 38, 86, 22, 70, 36, 84, 32, 80, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 34, 82, 28, 76, 14, 62, 27, 75, 44, 92, 48, 96, 40, 88, 24, 72, 12, 60)(6, 54, 15, 63, 29, 77, 45, 93, 47, 95, 39, 87, 23, 71, 11, 59, 21, 69, 35, 83, 30, 78, 16, 64)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 90)(27, 91)(28, 81)(29, 92)(30, 82)(31, 93)(32, 83)(33, 94)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 72)(40, 73)(41, 84)(42, 87)(43, 86)(44, 85)(45, 96)(46, 95)(47, 88)(48, 89)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1455
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.1464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-2, 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 34, 82, 42, 90, 38, 86, 30, 78, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 35, 83, 43, 91, 48, 96, 41, 89, 33, 81, 25, 73, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 19, 67, 29, 77, 37, 85, 45, 93, 46, 94, 39, 87, 31, 79, 23, 71, 12, 60)(9, 57, 17, 65, 28, 76, 36, 84, 44, 92, 47, 95, 40, 88, 32, 80, 24, 72, 13, 61, 18, 66, 20, 68)(97, 145, 99, 147, 105, 153, 115, 163, 110, 158, 123, 171, 132, 180, 141, 189, 138, 186, 144, 192, 136, 184, 127, 175, 118, 166, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 122, 170, 131, 179, 140, 188, 142, 190, 134, 182, 137, 185, 128, 176, 119, 167, 107, 155, 117, 165, 114, 162, 104, 152)(100, 148, 106, 154, 116, 164, 112, 160, 102, 150, 111, 159, 124, 172, 133, 181, 130, 178, 139, 187, 143, 191, 135, 183, 126, 174, 129, 177, 120, 168, 108, 156)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 112)(20, 114)(21, 121)(22, 126)(23, 127)(24, 128)(25, 129)(26, 110)(27, 111)(28, 113)(29, 115)(30, 134)(31, 135)(32, 136)(33, 137)(34, 122)(35, 123)(36, 124)(37, 125)(38, 138)(39, 142)(40, 143)(41, 144)(42, 130)(43, 131)(44, 132)(45, 133)(46, 141)(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) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1471
Graph:: bipartite
	v = 7 e = 96 f = 49
	degree seq :: [ 24^4, 32^3 ]

E21.1465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^2 * Y1 * Y2^2 * Y1 * Y3^-1, Y2^2 * Y1^2 * Y2 * Y3^-1 * Y2, Y1^12, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 49, 2, 50, 6, 54, 14, 62, 26, 74, 34, 82, 42, 90, 41, 89, 33, 81, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 29, 77, 37, 85, 45, 93, 48, 96, 40, 88, 32, 80, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 27, 75, 35, 83, 43, 91, 46, 94, 38, 86, 30, 78, 19, 67, 23, 71, 12, 60)(9, 57, 17, 65, 24, 72, 13, 61, 18, 66, 28, 76, 36, 84, 44, 92, 47, 95, 39, 87, 31, 79, 20, 68)(97, 145, 99, 147, 105, 153, 115, 163, 118, 166, 128, 176, 135, 183, 142, 190, 138, 186, 141, 189, 132, 180, 123, 171, 110, 158, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 119, 167, 107, 155, 117, 165, 127, 175, 134, 182, 137, 185, 144, 192, 140, 188, 131, 179, 122, 170, 125, 173, 114, 162, 104, 152)(100, 148, 106, 154, 116, 164, 126, 174, 129, 177, 136, 184, 143, 191, 139, 187, 130, 178, 133, 181, 124, 172, 112, 160, 102, 150, 111, 159, 120, 168, 108, 156)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 126)(20, 127)(21, 128)(22, 129)(23, 115)(24, 113)(25, 111)(26, 110)(27, 112)(28, 114)(29, 121)(30, 134)(31, 135)(32, 136)(33, 137)(34, 122)(35, 123)(36, 124)(37, 125)(38, 142)(39, 143)(40, 144)(41, 138)(42, 130)(43, 131)(44, 132)(45, 133)(46, 139)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1470
Graph:: bipartite
	v = 7 e = 96 f = 49
	degree seq :: [ 24^4, 32^3 ]

E21.1466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^-3 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^16, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 12, 60, 18, 66, 24, 72, 30, 78, 36, 84, 42, 90, 40, 88, 34, 82, 28, 76, 22, 70, 16, 64, 10, 58, 4, 52)(3, 51, 7, 55, 13, 61, 19, 67, 25, 73, 31, 79, 37, 85, 43, 91, 47, 95, 45, 93, 39, 87, 33, 81, 27, 75, 21, 69, 15, 63, 9, 57)(5, 53, 8, 56, 14, 62, 20, 68, 26, 74, 32, 80, 38, 86, 44, 92, 48, 96, 46, 94, 41, 89, 35, 83, 29, 77, 23, 71, 17, 65, 11, 59)(97, 145, 99, 147, 104, 152, 98, 146, 103, 151, 110, 158, 102, 150, 109, 157, 116, 164, 108, 156, 115, 163, 122, 170, 114, 162, 121, 169, 128, 176, 120, 168, 127, 175, 134, 182, 126, 174, 133, 181, 140, 188, 132, 180, 139, 187, 144, 192, 138, 186, 143, 191, 142, 190, 136, 184, 141, 189, 137, 185, 130, 178, 135, 183, 131, 179, 124, 172, 129, 177, 125, 173, 118, 166, 123, 171, 119, 167, 112, 160, 117, 165, 113, 161, 106, 154, 111, 159, 107, 155, 100, 148, 105, 153, 101, 149)
	L = (1, 99)(2, 103)(3, 104)(4, 105)(5, 97)(6, 109)(7, 110)(8, 98)(9, 101)(10, 111)(11, 100)(12, 115)(13, 116)(14, 102)(15, 107)(16, 117)(17, 106)(18, 121)(19, 122)(20, 108)(21, 113)(22, 123)(23, 112)(24, 127)(25, 128)(26, 114)(27, 119)(28, 129)(29, 118)(30, 133)(31, 134)(32, 120)(33, 125)(34, 135)(35, 124)(36, 139)(37, 140)(38, 126)(39, 131)(40, 141)(41, 130)(42, 143)(43, 144)(44, 132)(45, 137)(46, 136)(47, 142)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E21.1468
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 32^3, 96 ]

E21.1467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^-5, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-3, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 39, 87, 38, 86, 25, 73, 32, 80, 19, 67, 31, 79, 44, 92, 35, 83, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 40, 88, 37, 85, 24, 72, 13, 61, 18, 66, 30, 78, 43, 91, 48, 96, 46, 94, 34, 82, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 41, 89, 47, 95, 45, 93, 33, 81, 20, 68, 9, 57, 17, 65, 29, 77, 42, 90, 36, 84, 23, 71, 12, 60)(97, 145, 99, 147, 105, 153, 115, 163, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 140, 188, 144, 192, 137, 185, 122, 170, 136, 184, 132, 180, 118, 166, 130, 178, 141, 189, 134, 182, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 139, 187, 124, 172, 110, 158, 123, 171, 138, 186, 131, 179, 142, 190, 143, 191, 135, 183, 133, 181, 119, 167, 107, 155, 117, 165, 129, 177, 121, 169, 109, 157, 101, 149)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 126)(20, 128)(21, 129)(22, 130)(23, 107)(24, 108)(25, 109)(26, 136)(27, 138)(28, 110)(29, 140)(30, 112)(31, 139)(32, 114)(33, 121)(34, 141)(35, 142)(36, 118)(37, 119)(38, 120)(39, 133)(40, 132)(41, 122)(42, 131)(43, 124)(44, 144)(45, 134)(46, 143)(47, 135)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E21.1469
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 32^3, 96 ]

E21.1468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2), Y3^4 * Y2^-1, Y2^12, 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)^48 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 110, 158, 118, 166, 126, 174, 134, 182, 131, 179, 123, 171, 115, 163, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 141, 189, 138, 186, 130, 178, 122, 170, 114, 162, 106, 154)(101, 149, 104, 152, 112, 160, 120, 168, 128, 176, 136, 184, 142, 190, 139, 187, 132, 180, 124, 172, 116, 164, 108, 156)(105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 143, 191, 144, 192, 140, 188, 133, 181, 125, 173, 117, 165, 109, 157)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 104)(10, 109)(11, 114)(12, 100)(13, 101)(14, 119)(15, 121)(16, 102)(17, 112)(18, 117)(19, 122)(20, 107)(21, 108)(22, 127)(23, 129)(24, 110)(25, 120)(26, 125)(27, 130)(28, 115)(29, 116)(30, 135)(31, 137)(32, 118)(33, 128)(34, 133)(35, 138)(36, 123)(37, 124)(38, 141)(39, 143)(40, 126)(41, 136)(42, 140)(43, 131)(44, 132)(45, 144)(46, 134)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1466
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3^3 * Y2^4, Y3^3 * Y2^-1 * Y3^5 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^48 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 110, 158, 122, 170, 137, 185, 141, 189, 129, 177, 133, 181, 118, 166, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 123, 171, 136, 184, 121, 169, 128, 176, 140, 188, 144, 192, 132, 180, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 124, 172, 138, 186, 142, 190, 130, 178, 115, 163, 127, 175, 134, 182, 119, 167, 108, 156)(105, 153, 113, 161, 125, 173, 135, 183, 120, 168, 109, 157, 114, 162, 126, 174, 139, 187, 143, 191, 131, 179, 116, 164)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 136)(27, 135)(28, 110)(29, 134)(30, 112)(31, 133)(32, 114)(33, 140)(34, 141)(35, 142)(36, 143)(37, 144)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 124)(44, 126)(45, 128)(46, 137)(47, 138)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1467
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.1470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^12, Y1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 12, 60, 5, 53, 8, 56, 14, 62, 20, 68, 13, 61, 16, 64, 22, 70, 28, 76, 21, 69, 24, 72, 30, 78, 36, 84, 29, 77, 32, 80, 38, 86, 44, 92, 37, 85, 40, 88, 45, 93, 47, 95, 41, 89, 46, 94, 48, 96, 42, 90, 33, 81, 39, 87, 43, 91, 34, 82, 25, 73, 31, 79, 35, 83, 26, 74, 17, 65, 23, 71, 27, 75, 18, 66, 9, 57, 15, 63, 19, 67, 10, 58, 3, 51, 7, 55, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 107)(7, 111)(8, 98)(9, 113)(10, 114)(11, 115)(12, 100)(13, 101)(14, 102)(15, 119)(16, 104)(17, 121)(18, 122)(19, 123)(20, 108)(21, 109)(22, 110)(23, 127)(24, 112)(25, 129)(26, 130)(27, 131)(28, 116)(29, 117)(30, 118)(31, 135)(32, 120)(33, 137)(34, 138)(35, 139)(36, 124)(37, 125)(38, 126)(39, 142)(40, 128)(41, 133)(42, 143)(43, 144)(44, 132)(45, 134)(46, 136)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 32 ), ( 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1465
Graph:: bipartite
	v = 49 e = 96 f = 7
	degree seq :: [ 2^48, 96 ]

E21.1471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^-5, Y3^2 * Y1^8, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-4, Y1 * Y3^4 * Y1 * Y3^4 * Y1 * Y3^2 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-2, Y1^16 * Y3^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 42, 90, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 34, 82, 19, 67, 31, 79, 45, 93, 48, 96, 41, 89, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 43, 91, 38, 86, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 33, 81, 46, 94, 47, 95, 40, 88, 25, 73, 32, 80, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 44, 92, 37, 85, 22, 70, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 139)(27, 140)(28, 110)(29, 141)(30, 112)(31, 142)(32, 114)(33, 122)(34, 124)(35, 126)(36, 128)(37, 137)(38, 118)(39, 119)(40, 120)(41, 121)(42, 134)(43, 133)(44, 144)(45, 143)(46, 138)(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) :: { ( 24, 32 ), ( 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32, 24, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1464
Graph:: bipartite
	v = 49 e = 96 f = 7
	degree seq :: [ 2^48, 96 ]

E21.1472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, Y2^2 * Y3^-1 * Y2^2, Y1^12, Y2 * Y3^3 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^4 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 22, 70, 30, 78, 38, 86, 36, 84, 28, 76, 20, 68, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 45, 93, 43, 91, 35, 83, 27, 75, 19, 67, 10, 58)(5, 53, 8, 56, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 44, 92, 37, 85, 29, 77, 21, 69, 12, 60)(9, 57, 13, 61, 17, 65, 25, 73, 33, 81, 41, 89, 47, 95, 48, 96, 42, 90, 34, 82, 26, 74, 18, 66)(97, 145, 99, 147, 105, 153, 108, 156, 100, 148, 106, 154, 114, 162, 117, 165, 107, 155, 115, 163, 122, 170, 125, 173, 116, 164, 123, 171, 130, 178, 133, 181, 124, 172, 131, 179, 138, 186, 140, 188, 132, 180, 139, 187, 144, 192, 142, 190, 134, 182, 141, 189, 143, 191, 136, 184, 126, 174, 135, 183, 137, 185, 128, 176, 118, 166, 127, 175, 129, 177, 120, 168, 110, 158, 119, 167, 121, 169, 112, 160, 102, 150, 111, 159, 113, 161, 104, 152, 98, 146, 103, 151, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 114)(10, 115)(11, 116)(12, 117)(13, 105)(14, 102)(15, 103)(16, 104)(17, 109)(18, 122)(19, 123)(20, 124)(21, 125)(22, 110)(23, 111)(24, 112)(25, 113)(26, 130)(27, 131)(28, 132)(29, 133)(30, 118)(31, 119)(32, 120)(33, 121)(34, 138)(35, 139)(36, 134)(37, 140)(38, 126)(39, 127)(40, 128)(41, 129)(42, 144)(43, 141)(44, 142)(45, 135)(46, 136)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1474
Graph:: bipartite
	v = 5 e = 96 f = 51
	degree seq :: [ 24^4, 96 ]

E21.1473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1^2 * Y3 * Y2 * Y3, Y1 * Y2^-1 * Y1^3 * Y3^-1 * Y2^-3, Y3^3 * Y2 * Y3 * Y2^3 * Y3, Y3 * Y2^-1 * Y3 * Y2^-7, Y1^12, Y2^-1 * Y3^2 * Y2^5 * Y3 * Y2^5 * Y3 * Y2^5 * Y3 * Y2^4 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 33, 81, 45, 93, 41, 89, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 42, 90, 46, 94, 40, 88, 25, 73, 32, 80, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 34, 82, 19, 67, 31, 79, 44, 92, 47, 95, 38, 86, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 43, 91, 48, 96, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 35, 83, 20, 68)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 142, 190, 135, 183, 119, 167, 107, 155, 117, 165, 131, 179, 124, 172, 110, 158, 123, 171, 139, 187, 143, 191, 133, 181, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 141, 189, 136, 184, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 122, 170, 138, 186, 144, 192, 134, 182, 118, 166, 132, 180, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 140, 188, 137, 185, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 122)(34, 124)(35, 126)(36, 128)(37, 137)(38, 143)(39, 144)(40, 142)(41, 141)(42, 123)(43, 125)(44, 127)(45, 129)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.1475
Graph:: bipartite
	v = 5 e = 96 f = 51
	degree seq :: [ 24^4, 96 ]

E21.1474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^16, (Y3^-1 * Y1^-1)^12, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 12, 60, 18, 66, 24, 72, 30, 78, 36, 84, 42, 90, 40, 88, 34, 82, 28, 76, 22, 70, 16, 64, 10, 58, 4, 52)(3, 51, 7, 55, 13, 61, 19, 67, 25, 73, 31, 79, 37, 85, 43, 91, 47, 95, 45, 93, 39, 87, 33, 81, 27, 75, 21, 69, 15, 63, 9, 57)(5, 53, 8, 56, 14, 62, 20, 68, 26, 74, 32, 80, 38, 86, 44, 92, 48, 96, 46, 94, 41, 89, 35, 83, 29, 77, 23, 71, 17, 65, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 104)(4, 105)(5, 97)(6, 109)(7, 110)(8, 98)(9, 101)(10, 111)(11, 100)(12, 115)(13, 116)(14, 102)(15, 107)(16, 117)(17, 106)(18, 121)(19, 122)(20, 108)(21, 113)(22, 123)(23, 112)(24, 127)(25, 128)(26, 114)(27, 119)(28, 129)(29, 118)(30, 133)(31, 134)(32, 120)(33, 125)(34, 135)(35, 124)(36, 139)(37, 140)(38, 126)(39, 131)(40, 141)(41, 130)(42, 143)(43, 144)(44, 132)(45, 137)(46, 136)(47, 142)(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) :: { ( 24, 96 ), ( 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1472
Graph:: simple bipartite
	v = 51 e = 96 f = 5
	degree seq :: [ 2^48, 32^3 ]

E21.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 16, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-5 * Y1, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-2, (Y1^-1 * Y3^-1)^12, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 39, 87, 38, 86, 25, 73, 32, 80, 19, 67, 31, 79, 44, 92, 35, 83, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 40, 88, 37, 85, 24, 72, 13, 61, 18, 66, 30, 78, 43, 91, 48, 96, 46, 94, 34, 82, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 41, 89, 47, 95, 45, 93, 33, 81, 20, 68, 9, 57, 17, 65, 29, 77, 42, 90, 36, 84, 23, 71, 12, 60)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 126)(20, 128)(21, 129)(22, 130)(23, 107)(24, 108)(25, 109)(26, 136)(27, 138)(28, 110)(29, 140)(30, 112)(31, 139)(32, 114)(33, 121)(34, 141)(35, 142)(36, 118)(37, 119)(38, 120)(39, 133)(40, 132)(41, 122)(42, 131)(43, 124)(44, 144)(45, 134)(46, 143)(47, 135)(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) :: { ( 24, 96 ), ( 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1473
Graph:: simple bipartite
	v = 51 e = 96 f = 5
	degree seq :: [ 2^48, 32^3 ]

E21.1476 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T1^-3 * T2^6, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 43, 47, 38, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 45, 42, 26, 41, 48, 39, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 44, 46, 37, 22, 36, 40, 25, 13, 5)(49, 50, 54, 62, 74, 70, 59, 52)(51, 55, 63, 75, 89, 84, 69, 58)(53, 56, 64, 76, 90, 85, 71, 60)(57, 65, 77, 91, 96, 88, 83, 68)(61, 66, 78, 81, 93, 94, 86, 72)(67, 79, 92, 95, 87, 73, 80, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 96^8 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1483
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 48 f = 1
	degree seq :: [ 8^6, 48 ]

E21.1477 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T1^3 * T2^6, T1 * T2^-2 * T1^3 * T2^-4 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 37, 22, 36, 48, 44, 30, 16, 6, 15, 29, 39, 24, 12, 4, 10, 20, 34, 46, 42, 26, 41, 45, 32, 18, 8, 2, 7, 17, 31, 38, 23, 11, 21, 35, 47, 43, 28, 14, 27, 40, 25, 13, 5)(49, 50, 54, 62, 74, 70, 59, 52)(51, 55, 63, 75, 89, 84, 69, 58)(53, 56, 64, 76, 90, 85, 71, 60)(57, 65, 77, 88, 93, 96, 83, 68)(61, 66, 78, 91, 94, 81, 86, 72)(67, 79, 87, 73, 80, 92, 95, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 96^8 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1482
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 48 f = 1
	degree seq :: [ 8^6, 48 ]

E21.1478 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^6, T1^8, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 36, 23, 11, 21, 33, 42, 44, 35, 22, 34, 43, 48, 46, 38, 26, 37, 45, 47, 40, 28, 14, 27, 39, 41, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(49, 50, 54, 62, 74, 70, 59, 52)(51, 55, 63, 75, 85, 82, 69, 58)(53, 56, 64, 76, 86, 83, 71, 60)(57, 65, 77, 87, 93, 91, 81, 68)(61, 66, 78, 88, 94, 92, 84, 72)(67, 73, 79, 89, 95, 96, 90, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 96^8 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1481
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 48 f = 1
	degree seq :: [ 8^6, 48 ]

E21.1479 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-6 * T1, T1^8, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 41, 40, 28, 14, 27, 39, 47, 46, 38, 26, 37, 45, 48, 43, 34, 22, 33, 42, 44, 35, 23, 11, 21, 32, 36, 24, 12, 4, 10, 20, 25, 13, 5)(49, 50, 54, 62, 74, 70, 59, 52)(51, 55, 63, 75, 85, 81, 69, 58)(53, 56, 64, 76, 86, 82, 71, 60)(57, 65, 77, 87, 93, 90, 80, 68)(61, 66, 78, 88, 94, 91, 83, 72)(67, 79, 89, 95, 96, 92, 84, 73)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 96^8 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1484
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 48 f = 1
	degree seq :: [ 8^6, 48 ]

E21.1480 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-5 * T2, T2 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 46, 36, 26, 16, 6, 15, 25, 35, 45, 42, 32, 22, 12, 4, 10, 20, 30, 40, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 41, 31, 21, 11, 14, 24, 34, 44, 43, 33, 23, 13, 5)(49, 50, 54, 62, 58, 51, 55, 63, 72, 68, 57, 65, 73, 82, 78, 67, 75, 83, 92, 88, 77, 85, 93, 91, 96, 87, 95, 90, 81, 86, 94, 89, 80, 71, 76, 84, 79, 70, 61, 66, 74, 69, 60, 53, 56, 64, 59, 52)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.1485
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.1481 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T1^-3 * T2^6, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 28, 76, 14, 62, 27, 75, 43, 91, 47, 95, 38, 86, 23, 71, 11, 59, 21, 69, 35, 83, 32, 80, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 45, 93, 42, 90, 26, 74, 41, 89, 48, 96, 39, 87, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 34, 82, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 44, 92, 46, 94, 37, 85, 22, 70, 36, 84, 40, 88, 25, 73, 13, 61, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 70)(27, 89)(28, 90)(29, 91)(30, 81)(31, 92)(32, 82)(33, 93)(34, 67)(35, 68)(36, 69)(37, 71)(38, 72)(39, 73)(40, 83)(41, 84)(42, 85)(43, 96)(44, 95)(45, 94)(46, 86)(47, 87)(48, 88)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1478
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 7
	degree seq :: [ 96 ]

E21.1482 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^8, T1^3 * T2^6, T1 * T2^-2 * T1^3 * T2^-4 * T1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 37, 85, 22, 70, 36, 84, 48, 96, 44, 92, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 39, 87, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 34, 82, 46, 94, 42, 90, 26, 74, 41, 89, 45, 93, 32, 80, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 38, 86, 23, 71, 11, 59, 21, 69, 35, 83, 47, 95, 43, 91, 28, 76, 14, 62, 27, 75, 40, 88, 25, 73, 13, 61, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 70)(27, 89)(28, 90)(29, 88)(30, 91)(31, 87)(32, 92)(33, 86)(34, 67)(35, 68)(36, 69)(37, 71)(38, 72)(39, 73)(40, 93)(41, 84)(42, 85)(43, 94)(44, 95)(45, 96)(46, 81)(47, 82)(48, 83)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1477
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 7
	degree seq :: [ 96 ]

E21.1483 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^6, T1^8, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 32, 80, 36, 84, 23, 71, 11, 59, 21, 69, 33, 81, 42, 90, 44, 92, 35, 83, 22, 70, 34, 82, 43, 91, 48, 96, 46, 94, 38, 86, 26, 74, 37, 85, 45, 93, 47, 95, 40, 88, 28, 76, 14, 62, 27, 75, 39, 87, 41, 89, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 31, 79, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 25, 73, 13, 61, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 73)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 79)(26, 70)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 67)(33, 68)(34, 69)(35, 71)(36, 72)(37, 82)(38, 83)(39, 93)(40, 94)(41, 95)(42, 80)(43, 81)(44, 84)(45, 91)(46, 92)(47, 96)(48, 90)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1476
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 7
	degree seq :: [ 96 ]

E21.1484 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-6 * T1, T1^8, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 41, 89, 40, 88, 28, 76, 14, 62, 27, 75, 39, 87, 47, 95, 46, 94, 38, 86, 26, 74, 37, 85, 45, 93, 48, 96, 43, 91, 34, 82, 22, 70, 33, 81, 42, 90, 44, 92, 35, 83, 23, 71, 11, 59, 21, 69, 32, 80, 36, 84, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 25, 73, 13, 61, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 67)(26, 70)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 68)(33, 69)(34, 71)(35, 72)(36, 73)(37, 81)(38, 82)(39, 93)(40, 94)(41, 95)(42, 80)(43, 83)(44, 84)(45, 90)(46, 91)(47, 96)(48, 92)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.1479
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 7
	degree seq :: [ 96 ]

E21.1485 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T2^8, T1^6 * T2^-3, T2 * T1 * T2^2 * T1 * T2^2 * T1^4, T1^-1 * T2^-4 * 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 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 44, 92, 32, 80, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 34, 82, 45, 93, 40, 88, 24, 72, 12, 60)(6, 54, 15, 63, 29, 77, 43, 91, 46, 94, 37, 85, 30, 78, 16, 64)(11, 59, 21, 69, 35, 83, 26, 74, 41, 89, 48, 96, 39, 87, 23, 71)(14, 62, 27, 75, 42, 90, 47, 95, 38, 86, 22, 70, 36, 84, 28, 76)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 82)(27, 89)(28, 83)(29, 90)(30, 84)(31, 91)(32, 85)(33, 92)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 72)(40, 73)(41, 93)(42, 96)(43, 95)(44, 94)(45, 81)(46, 86)(47, 87)(48, 88)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1480
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.1486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y1^8, Y2 * Y1 * Y2^5 * Y1 * Y3^-1, Y1^2 * Y2^-2 * Y3^-3 * Y2^-4, (Y1^-2 * Y3)^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 41, 89, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 42, 90, 37, 85, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 40, 88, 45, 93, 48, 96, 35, 83, 20, 68)(13, 61, 18, 66, 30, 78, 43, 91, 46, 94, 33, 81, 38, 86, 24, 72)(19, 67, 31, 79, 39, 87, 25, 73, 32, 80, 44, 92, 47, 95, 34, 82)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 133, 181, 118, 166, 132, 180, 144, 192, 140, 188, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 135, 183, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 142, 190, 138, 186, 122, 170, 137, 185, 141, 189, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 134, 182, 119, 167, 107, 155, 117, 165, 131, 179, 143, 191, 139, 187, 124, 172, 110, 158, 123, 171, 136, 184, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 122)(23, 133)(24, 134)(25, 135)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 142)(34, 143)(35, 144)(36, 137)(37, 138)(38, 129)(39, 127)(40, 125)(41, 123)(42, 124)(43, 126)(44, 128)(45, 136)(46, 139)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1493
Graph:: bipartite
	v = 7 e = 96 f = 49
	degree seq :: [ 16^6, 96 ]

E21.1487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), Y1 * Y2^2 * Y3 * Y2^-2, Y1 * Y2^-2 * Y3 * Y2^2, Y1^8, Y2^-1 * Y1 * Y2^-3 * Y3^-2 * Y2^-2, Y1 * Y2 * Y1 * Y2^5 * Y1 * Y3^-2, (Y1^-3 * Y3^2)^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 41, 89, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 42, 90, 37, 85, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 43, 91, 48, 96, 40, 88, 35, 83, 20, 68)(13, 61, 18, 66, 30, 78, 33, 81, 45, 93, 46, 94, 38, 86, 24, 72)(19, 67, 31, 79, 44, 92, 47, 95, 39, 87, 25, 73, 32, 80, 34, 82)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 124, 172, 110, 158, 123, 171, 139, 187, 143, 191, 134, 182, 119, 167, 107, 155, 117, 165, 131, 179, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 141, 189, 138, 186, 122, 170, 137, 185, 144, 192, 135, 183, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 140, 188, 142, 190, 133, 181, 118, 166, 132, 180, 136, 184, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 122)(23, 133)(24, 134)(25, 135)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 126)(34, 128)(35, 136)(36, 137)(37, 138)(38, 142)(39, 143)(40, 144)(41, 123)(42, 124)(43, 125)(44, 127)(45, 129)(46, 141)(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) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1494
Graph:: bipartite
	v = 7 e = 96 f = 49
	degree seq :: [ 16^6, 96 ]

E21.1488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^6 * Y1, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 37, 85, 34, 82, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 38, 86, 35, 83, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 39, 87, 45, 93, 43, 91, 33, 81, 20, 68)(13, 61, 18, 66, 30, 78, 40, 88, 46, 94, 44, 92, 36, 84, 24, 72)(19, 67, 25, 73, 31, 79, 41, 89, 47, 95, 48, 96, 42, 90, 32, 80)(97, 145, 99, 147, 105, 153, 115, 163, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 128, 176, 132, 180, 119, 167, 107, 155, 117, 165, 129, 177, 138, 186, 140, 188, 131, 179, 118, 166, 130, 178, 139, 187, 144, 192, 142, 190, 134, 182, 122, 170, 133, 181, 141, 189, 143, 191, 136, 184, 124, 172, 110, 158, 123, 171, 135, 183, 137, 185, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 127, 175, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 128)(20, 129)(21, 130)(22, 122)(23, 131)(24, 132)(25, 115)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 121)(32, 138)(33, 139)(34, 133)(35, 134)(36, 140)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 144)(43, 141)(44, 142)(45, 135)(46, 136)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1492
Graph:: bipartite
	v = 7 e = 96 f = 49
	degree seq :: [ 16^6, 96 ]

E21.1489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), Y3 * Y2^6, Y3^8, Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 37, 85, 33, 81, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 38, 86, 34, 82, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 39, 87, 45, 93, 42, 90, 32, 80, 20, 68)(13, 61, 18, 66, 30, 78, 40, 88, 46, 94, 43, 91, 35, 83, 24, 72)(19, 67, 31, 79, 41, 89, 47, 95, 48, 96, 44, 92, 36, 84, 25, 73)(97, 145, 99, 147, 105, 153, 115, 163, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 137, 185, 136, 184, 124, 172, 110, 158, 123, 171, 135, 183, 143, 191, 142, 190, 134, 182, 122, 170, 133, 181, 141, 189, 144, 192, 139, 187, 130, 178, 118, 166, 129, 177, 138, 186, 140, 188, 131, 179, 119, 167, 107, 155, 117, 165, 128, 176, 132, 180, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 121)(20, 128)(21, 129)(22, 122)(23, 130)(24, 131)(25, 132)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 138)(33, 133)(34, 134)(35, 139)(36, 140)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 141)(43, 142)(44, 144)(45, 135)(46, 136)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1495
Graph:: bipartite
	v = 7 e = 96 f = 49
	degree seq :: [ 16^6, 96 ]

E21.1490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^4 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-4 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 24, 72, 34, 82, 44, 92, 39, 87, 29, 77, 19, 67, 9, 57, 17, 65, 27, 75, 37, 85, 47, 95, 42, 90, 32, 80, 22, 70, 12, 60, 5, 53, 8, 56, 16, 64, 26, 74, 36, 84, 46, 94, 40, 88, 30, 78, 20, 68, 10, 58, 3, 51, 7, 55, 15, 63, 25, 73, 35, 83, 45, 93, 43, 91, 33, 81, 23, 71, 13, 61, 18, 66, 28, 76, 38, 86, 48, 96, 41, 89, 31, 79, 21, 69, 11, 59, 4, 52)(97, 145, 99, 147, 105, 153, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 124, 172, 112, 160, 102, 150, 111, 159, 123, 171, 134, 182, 122, 170, 110, 158, 121, 169, 133, 181, 144, 192, 132, 180, 120, 168, 131, 179, 143, 191, 137, 185, 142, 190, 130, 178, 141, 189, 138, 186, 127, 175, 136, 184, 140, 188, 139, 187, 128, 176, 117, 165, 126, 174, 135, 183, 129, 177, 118, 166, 107, 155, 116, 164, 125, 173, 119, 167, 108, 156, 100, 148, 106, 154, 115, 163, 109, 157, 101, 149)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 114)(10, 115)(11, 116)(12, 100)(13, 101)(14, 121)(15, 123)(16, 102)(17, 124)(18, 104)(19, 109)(20, 125)(21, 126)(22, 107)(23, 108)(24, 131)(25, 133)(26, 110)(27, 134)(28, 112)(29, 119)(30, 135)(31, 136)(32, 117)(33, 118)(34, 141)(35, 143)(36, 120)(37, 144)(38, 122)(39, 129)(40, 140)(41, 142)(42, 127)(43, 128)(44, 139)(45, 138)(46, 130)(47, 137)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E21.1491
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.1491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^8, Y2^3 * Y3^6, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2^2 * Y3^-3 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^48 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 110, 158, 122, 170, 118, 166, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 123, 171, 137, 185, 132, 180, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 124, 172, 138, 186, 133, 181, 119, 167, 108, 156)(105, 153, 113, 161, 125, 173, 136, 184, 141, 189, 144, 192, 131, 179, 116, 164)(109, 157, 114, 162, 126, 174, 139, 187, 142, 190, 129, 177, 134, 182, 120, 168)(115, 163, 127, 175, 135, 183, 121, 169, 128, 176, 140, 188, 143, 191, 130, 178)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 137)(27, 136)(28, 110)(29, 135)(30, 112)(31, 134)(32, 114)(33, 133)(34, 142)(35, 143)(36, 144)(37, 118)(38, 119)(39, 120)(40, 121)(41, 141)(42, 122)(43, 124)(44, 126)(45, 128)(46, 138)(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) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1490
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.1492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y3^-3 * Y1^6, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 34, 82, 19, 67, 31, 79, 43, 91, 47, 95, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 41, 89, 45, 93, 33, 81, 44, 92, 46, 94, 38, 86, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 42, 90, 48, 96, 40, 88, 25, 73, 32, 80, 37, 85, 22, 70, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 137)(27, 138)(28, 110)(29, 139)(30, 112)(31, 140)(32, 114)(33, 121)(34, 141)(35, 122)(36, 124)(37, 126)(38, 118)(39, 119)(40, 120)(41, 144)(42, 143)(43, 142)(44, 128)(45, 136)(46, 133)(47, 134)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 96 ), ( 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1488
Graph:: bipartite
	v = 49 e = 96 f = 7
	degree seq :: [ 2^48, 96 ]

E21.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-8, Y3^3 * Y1^6, Y3^-16, (Y3 * Y2^-1)^8, Y3^24, (Y1^-1 * Y3^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 40, 88, 25, 73, 32, 80, 43, 91, 47, 95, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 38, 86, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 41, 89, 45, 93, 33, 81, 44, 92, 48, 96, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 42, 90, 46, 94, 34, 82, 19, 67, 31, 79, 37, 85, 22, 70, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 135)(27, 134)(28, 110)(29, 133)(30, 112)(31, 140)(32, 114)(33, 121)(34, 141)(35, 142)(36, 143)(37, 144)(38, 118)(39, 119)(40, 120)(41, 122)(42, 124)(43, 126)(44, 128)(45, 136)(46, 137)(47, 138)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 96 ), ( 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1486
Graph:: bipartite
	v = 49 e = 96 f = 7
	degree seq :: [ 2^48, 96 ]

E21.1494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^3 * Y3^-4 * Y1, (Y3 * Y2^-1)^8, Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 26, 74, 35, 83, 24, 72, 13, 61, 18, 66, 28, 76, 37, 85, 44, 92, 36, 84, 25, 73, 30, 78, 39, 87, 45, 93, 47, 95, 41, 89, 31, 79, 40, 88, 46, 94, 48, 96, 42, 90, 32, 80, 19, 67, 29, 77, 38, 86, 43, 91, 33, 81, 20, 68, 9, 57, 17, 65, 27, 75, 34, 82, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 22, 70, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 118)(15, 123)(16, 102)(17, 125)(18, 104)(19, 127)(20, 128)(21, 129)(22, 130)(23, 107)(24, 108)(25, 109)(26, 110)(27, 134)(28, 112)(29, 136)(30, 114)(31, 121)(32, 137)(33, 138)(34, 139)(35, 119)(36, 120)(37, 122)(38, 142)(39, 124)(40, 126)(41, 132)(42, 143)(43, 144)(44, 131)(45, 133)(46, 135)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 96 ), ( 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1487
Graph:: bipartite
	v = 49 e = 96 f = 7
	degree seq :: [ 2^48, 96 ]

E21.1495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y3^8, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 26, 74, 33, 81, 20, 68, 9, 57, 17, 65, 27, 75, 37, 85, 42, 90, 32, 80, 19, 67, 29, 77, 38, 86, 45, 93, 47, 95, 41, 89, 31, 79, 40, 88, 46, 94, 48, 96, 44, 92, 36, 84, 25, 73, 30, 78, 39, 87, 43, 91, 35, 83, 24, 72, 13, 61, 18, 66, 28, 76, 34, 82, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 22, 70, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(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)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(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, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 122)(15, 123)(16, 102)(17, 125)(18, 104)(19, 127)(20, 128)(21, 129)(22, 110)(23, 107)(24, 108)(25, 109)(26, 133)(27, 134)(28, 112)(29, 136)(30, 114)(31, 121)(32, 137)(33, 138)(34, 118)(35, 119)(36, 120)(37, 141)(38, 142)(39, 124)(40, 126)(41, 132)(42, 143)(43, 130)(44, 131)(45, 144)(46, 135)(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) :: { ( 16, 96 ), ( 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96, 16, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.1489
Graph:: bipartite
	v = 49 e = 96 f = 7
	degree seq :: [ 2^48, 96 ]

E21.1496 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-1 * T2^7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 18, 8, 2, 7, 17, 30, 41, 29, 16, 6, 15, 28, 40, 47, 39, 27, 14, 26, 38, 46, 49, 44, 35, 22, 34, 43, 48, 45, 36, 23, 11, 21, 33, 42, 37, 24, 12, 4, 10, 20, 32, 25, 13, 5)(50, 51, 55, 63, 71, 60, 53)(52, 56, 64, 75, 83, 70, 59)(54, 57, 65, 76, 84, 72, 61)(58, 66, 77, 87, 92, 82, 69)(62, 67, 78, 88, 93, 85, 73)(68, 79, 89, 95, 97, 91, 81)(74, 80, 90, 96, 98, 94, 86)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 98^7 ), ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1506
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 49 f = 1
	degree seq :: [ 7^7, 49 ]

E21.1497 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-1 * T2^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 24, 12, 4, 10, 20, 33, 42, 37, 23, 11, 21, 34, 43, 48, 45, 36, 22, 35, 44, 49, 47, 39, 27, 14, 26, 38, 46, 41, 29, 16, 6, 15, 28, 40, 31, 18, 8, 2, 7, 17, 30, 25, 13, 5)(50, 51, 55, 63, 71, 60, 53)(52, 56, 64, 75, 84, 70, 59)(54, 57, 65, 76, 85, 72, 61)(58, 66, 77, 87, 93, 83, 69)(62, 67, 78, 88, 94, 86, 73)(68, 79, 89, 95, 98, 92, 82)(74, 80, 90, 96, 97, 91, 81)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 98^7 ), ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1505
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 49 f = 1
	degree seq :: [ 7^7, 49 ]

E21.1498 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T1^2 * T2^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 29, 16, 6, 15, 28, 42, 49, 45, 36, 22, 35, 44, 47, 38, 24, 12, 4, 10, 20, 33, 31, 18, 8, 2, 7, 17, 30, 43, 41, 27, 14, 26, 40, 48, 46, 37, 23, 11, 21, 34, 39, 25, 13, 5)(50, 51, 55, 63, 71, 60, 53)(52, 56, 64, 75, 84, 70, 59)(54, 57, 65, 76, 85, 72, 61)(58, 66, 77, 89, 93, 83, 69)(62, 67, 78, 90, 94, 86, 73)(68, 79, 91, 97, 96, 88, 82)(74, 80, 81, 92, 98, 95, 87)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 98^7 ), ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1508
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 49 f = 1
	degree seq :: [ 7^7, 49 ]

E21.1499 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T1^2 * T2^7, T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-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^-2 * T2^-2 * T1^-3, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 37, 23, 11, 21, 34, 45, 48, 41, 27, 14, 26, 40, 43, 31, 18, 8, 2, 7, 17, 30, 38, 24, 12, 4, 10, 20, 33, 44, 47, 36, 22, 35, 46, 49, 42, 29, 16, 6, 15, 28, 39, 25, 13, 5)(50, 51, 55, 63, 71, 60, 53)(52, 56, 64, 75, 84, 70, 59)(54, 57, 65, 76, 85, 72, 61)(58, 66, 77, 89, 95, 83, 69)(62, 67, 78, 90, 96, 86, 73)(68, 79, 88, 92, 98, 94, 82)(74, 80, 91, 97, 93, 81, 87)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 98^7 ), ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1507
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 49 f = 1
	degree seq :: [ 7^7, 49 ]

E21.1500 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-7, T1^7, T1^-3 * T2^7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 41, 27, 14, 26, 40, 49, 38, 24, 12, 4, 10, 20, 33, 43, 29, 16, 6, 15, 28, 42, 48, 37, 23, 11, 21, 34, 45, 31, 18, 8, 2, 7, 17, 30, 44, 47, 36, 22, 35, 46, 39, 25, 13, 5)(50, 51, 55, 63, 71, 60, 53)(52, 56, 64, 75, 84, 70, 59)(54, 57, 65, 76, 85, 72, 61)(58, 66, 77, 89, 95, 83, 69)(62, 67, 78, 90, 96, 86, 73)(68, 79, 91, 98, 88, 94, 82)(74, 80, 92, 81, 93, 97, 87)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 98^7 ), ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1510
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 49 f = 1
	degree seq :: [ 7^7, 49 ]

E21.1501 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^3, T1^-3 * T2^-7, T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-4 * T1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^3 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 46, 36, 22, 35, 49, 45, 31, 18, 8, 2, 7, 17, 30, 44, 37, 23, 11, 21, 34, 48, 43, 29, 16, 6, 15, 28, 42, 38, 24, 12, 4, 10, 20, 33, 47, 41, 27, 14, 26, 40, 39, 25, 13, 5)(50, 51, 55, 63, 71, 60, 53)(52, 56, 64, 75, 84, 70, 59)(54, 57, 65, 76, 85, 72, 61)(58, 66, 77, 89, 98, 83, 69)(62, 67, 78, 90, 95, 86, 73)(68, 79, 91, 88, 94, 97, 82)(74, 80, 92, 96, 81, 93, 87)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 98^7 ), ( 98^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1509
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 49 f = 1
	degree seq :: [ 7^7, 49 ]

E21.1502 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^6, T2 * T1 * T2^7, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 36, 24, 12, 4, 10, 20, 32, 42, 45, 35, 23, 11, 21, 33, 43, 48, 49, 44, 34, 22, 14, 26, 38, 46, 47, 40, 28, 16, 6, 15, 27, 39, 41, 30, 18, 8, 2, 7, 17, 29, 37, 25, 13, 5)(50, 51, 55, 63, 70, 59, 52, 56, 64, 75, 82, 69, 58, 66, 76, 87, 92, 81, 68, 78, 88, 95, 97, 91, 80, 86, 90, 96, 98, 94, 85, 74, 79, 89, 93, 84, 73, 62, 67, 77, 83, 72, 61, 54, 57, 65, 71, 60, 53)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 14^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1511
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 7
	degree seq :: [ 49^2 ]

E21.1503 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-2 * T2^3, T1^6 * T2 * T1 * T2^2 * T1^3, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 48, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 47, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 44, 46, 49, 40, 31, 22, 25, 13, 5)(50, 51, 55, 63, 75, 83, 91, 98, 90, 82, 74, 70, 59, 52, 56, 64, 76, 84, 92, 97, 89, 81, 73, 62, 67, 69, 58, 66, 77, 85, 93, 96, 88, 80, 72, 61, 54, 57, 65, 68, 78, 86, 94, 95, 87, 79, 71, 60, 53)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 14^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1513
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 7
	degree seq :: [ 49^2 ]

E21.1504 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 49, 49})
Quotient :: edge
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-1 * T2^4 * T1^-1, T1^5 * T2 * T1 * T2 * T1^3, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 40, 38, 26, 37, 42, 48, 49, 44, 33, 22, 31, 35, 24, 12, 4, 10, 20, 18, 8, 2, 7, 17, 30, 28, 14, 27, 39, 47, 46, 36, 43, 32, 41, 45, 34, 23, 11, 21, 25, 13, 5)(50, 51, 55, 63, 75, 85, 93, 83, 73, 62, 67, 68, 79, 89, 96, 97, 90, 80, 70, 59, 52, 56, 64, 76, 86, 92, 82, 72, 61, 54, 57, 65, 77, 87, 95, 98, 94, 84, 74, 69, 58, 66, 78, 88, 91, 81, 71, 60, 53)
	L = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)
	local type(s) :: { ( 14^49 ) }
Outer automorphisms :: reflexible
Dual of E21.1512
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 49 f = 7
	degree seq :: [ 49^2 ]

E21.1505 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-1 * T2^7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 30, 79, 41, 90, 29, 78, 16, 65, 6, 55, 15, 64, 28, 77, 40, 89, 47, 96, 39, 88, 27, 76, 14, 63, 26, 75, 38, 87, 46, 95, 49, 98, 44, 93, 35, 84, 22, 71, 34, 83, 43, 92, 48, 97, 45, 94, 36, 85, 23, 72, 11, 60, 21, 70, 33, 82, 42, 91, 37, 86, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 32, 81, 25, 74, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 71)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 83)(27, 84)(28, 87)(29, 88)(30, 89)(31, 90)(32, 68)(33, 69)(34, 70)(35, 72)(36, 73)(37, 74)(38, 92)(39, 93)(40, 95)(41, 96)(42, 81)(43, 82)(44, 85)(45, 86)(46, 97)(47, 98)(48, 91)(49, 94)
	local type(s) :: { ( 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49 ) }
Outer automorphisms :: reflexible
Dual of E21.1497
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 8
	degree seq :: [ 98 ]

E21.1506 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-1 * T2^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 32, 81, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 33, 82, 42, 91, 37, 86, 23, 72, 11, 60, 21, 70, 34, 83, 43, 92, 48, 97, 45, 94, 36, 85, 22, 71, 35, 84, 44, 93, 49, 98, 47, 96, 39, 88, 27, 76, 14, 63, 26, 75, 38, 87, 46, 95, 41, 90, 29, 78, 16, 65, 6, 55, 15, 64, 28, 77, 40, 89, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 30, 79, 25, 74, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 71)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 84)(27, 85)(28, 87)(29, 88)(30, 89)(31, 90)(32, 74)(33, 68)(34, 69)(35, 70)(36, 72)(37, 73)(38, 93)(39, 94)(40, 95)(41, 96)(42, 81)(43, 82)(44, 83)(45, 86)(46, 98)(47, 97)(48, 91)(49, 92)
	local type(s) :: { ( 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49 ) }
Outer automorphisms :: reflexible
Dual of E21.1496
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 8
	degree seq :: [ 98 ]

E21.1507 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T1^2 * T2^-7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 32, 81, 29, 78, 16, 65, 6, 55, 15, 64, 28, 77, 42, 91, 49, 98, 45, 94, 36, 85, 22, 71, 35, 84, 44, 93, 47, 96, 38, 87, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 33, 82, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 30, 79, 43, 92, 41, 90, 27, 76, 14, 63, 26, 75, 40, 89, 48, 97, 46, 95, 37, 86, 23, 72, 11, 60, 21, 70, 34, 83, 39, 88, 25, 74, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 71)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 84)(27, 85)(28, 89)(29, 90)(30, 91)(31, 81)(32, 92)(33, 68)(34, 69)(35, 70)(36, 72)(37, 73)(38, 74)(39, 82)(40, 93)(41, 94)(42, 97)(43, 98)(44, 83)(45, 86)(46, 87)(47, 88)(48, 96)(49, 95)
	local type(s) :: { ( 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49 ) }
Outer automorphisms :: reflexible
Dual of E21.1499
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 8
	degree seq :: [ 98 ]

E21.1508 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T1^2 * T2^7, T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-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^-2 * T2^-2 * T1^-3, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 32, 81, 37, 86, 23, 72, 11, 60, 21, 70, 34, 83, 45, 94, 48, 97, 41, 90, 27, 76, 14, 63, 26, 75, 40, 89, 43, 92, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 30, 79, 38, 87, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 33, 82, 44, 93, 47, 96, 36, 85, 22, 71, 35, 84, 46, 95, 49, 98, 42, 91, 29, 78, 16, 65, 6, 55, 15, 64, 28, 77, 39, 88, 25, 74, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 71)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 84)(27, 85)(28, 89)(29, 90)(30, 88)(31, 91)(32, 87)(33, 68)(34, 69)(35, 70)(36, 72)(37, 73)(38, 74)(39, 92)(40, 95)(41, 96)(42, 97)(43, 98)(44, 81)(45, 82)(46, 83)(47, 86)(48, 93)(49, 94)
	local type(s) :: { ( 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49 ) }
Outer automorphisms :: reflexible
Dual of E21.1498
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 8
	degree seq :: [ 98 ]

E21.1509 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-7, T1^7, T1^-3 * T2^7, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 32, 81, 41, 90, 27, 76, 14, 63, 26, 75, 40, 89, 49, 98, 38, 87, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 33, 82, 43, 92, 29, 78, 16, 65, 6, 55, 15, 64, 28, 77, 42, 91, 48, 97, 37, 86, 23, 72, 11, 60, 21, 70, 34, 83, 45, 94, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 30, 79, 44, 93, 47, 96, 36, 85, 22, 71, 35, 84, 46, 95, 39, 88, 25, 74, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 71)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 84)(27, 85)(28, 89)(29, 90)(30, 91)(31, 92)(32, 93)(33, 68)(34, 69)(35, 70)(36, 72)(37, 73)(38, 74)(39, 94)(40, 95)(41, 96)(42, 98)(43, 81)(44, 97)(45, 82)(46, 83)(47, 86)(48, 87)(49, 88)
	local type(s) :: { ( 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49 ) }
Outer automorphisms :: reflexible
Dual of E21.1501
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 8
	degree seq :: [ 98 ]

E21.1510 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^3, T1^-3 * T2^-7, T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-4 * T1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2 * T1^-1 * T2^3 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 32, 81, 46, 95, 36, 85, 22, 71, 35, 84, 49, 98, 45, 94, 31, 80, 18, 67, 8, 57, 2, 51, 7, 56, 17, 66, 30, 79, 44, 93, 37, 86, 23, 72, 11, 60, 21, 70, 34, 83, 48, 97, 43, 92, 29, 78, 16, 65, 6, 55, 15, 64, 28, 77, 42, 91, 38, 87, 24, 73, 12, 61, 4, 53, 10, 59, 20, 69, 33, 82, 47, 96, 41, 90, 27, 76, 14, 63, 26, 75, 40, 89, 39, 88, 25, 74, 13, 62, 5, 54)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 71)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 80)(26, 84)(27, 85)(28, 89)(29, 90)(30, 91)(31, 92)(32, 93)(33, 68)(34, 69)(35, 70)(36, 72)(37, 73)(38, 74)(39, 94)(40, 98)(41, 95)(42, 88)(43, 96)(44, 87)(45, 97)(46, 86)(47, 81)(48, 82)(49, 83)
	local type(s) :: { ( 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49, 7, 49 ) }
Outer automorphisms :: reflexible
Dual of E21.1500
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 49 f = 8
	degree seq :: [ 98 ]

E21.1511 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^7, T1^-7 * T2, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 25, 74, 13, 62, 5, 54)(2, 51, 7, 56, 17, 66, 31, 80, 32, 81, 18, 67, 8, 57)(4, 53, 10, 59, 20, 69, 33, 82, 37, 86, 24, 73, 12, 61)(6, 55, 15, 64, 29, 78, 41, 90, 42, 91, 30, 79, 16, 65)(11, 60, 21, 70, 34, 83, 43, 92, 45, 94, 36, 85, 23, 72)(14, 63, 27, 76, 39, 88, 47, 96, 48, 97, 40, 89, 28, 77)(22, 71, 26, 75, 38, 87, 46, 95, 49, 98, 44, 93, 35, 84)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 75)(15, 76)(16, 77)(17, 78)(18, 79)(19, 80)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 81)(26, 70)(27, 87)(28, 71)(29, 88)(30, 89)(31, 90)(32, 91)(33, 68)(34, 69)(35, 72)(36, 73)(37, 74)(38, 83)(39, 95)(40, 84)(41, 96)(42, 97)(43, 82)(44, 85)(45, 86)(46, 92)(47, 98)(48, 93)(49, 94)
	local type(s) :: { ( 49^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1502
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 49 f = 2
	degree seq :: [ 14^7 ]

E21.1512 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^7, T2^7, T2^2 * T1^7, T2^2 * T1^-1 * T2 * T1^-2 * T2^2 * T1^-4, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 25, 74, 13, 62, 5, 54)(2, 51, 7, 56, 17, 66, 31, 80, 32, 81, 18, 67, 8, 57)(4, 53, 10, 59, 20, 69, 33, 82, 39, 88, 24, 73, 12, 61)(6, 55, 15, 64, 29, 78, 42, 91, 43, 92, 30, 79, 16, 65)(11, 60, 21, 70, 34, 83, 44, 93, 47, 96, 38, 87, 23, 72)(14, 63, 27, 76, 36, 85, 46, 95, 49, 98, 41, 90, 28, 77)(22, 71, 35, 84, 45, 94, 48, 97, 40, 89, 26, 75, 37, 86)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 75)(15, 76)(16, 77)(17, 78)(18, 79)(19, 80)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 81)(26, 87)(27, 86)(28, 89)(29, 85)(30, 90)(31, 91)(32, 92)(33, 68)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 74)(40, 96)(41, 97)(42, 95)(43, 98)(44, 82)(45, 83)(46, 84)(47, 88)(48, 93)(49, 94)
	local type(s) :: { ( 49^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1504
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 49 f = 2
	degree seq :: [ 14^7 ]

E21.1513 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 49, 49})
Quotient :: loop
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-7, T2^7, T2^-3 * T1^-7, T1 * T2^-1 * T1 * T2^-1 * T1^4 * T2^-2 * T1, (T1^-1 * T2^-1)^49 ]
Map:: non-degenerate
	R = (1, 50, 3, 52, 9, 58, 19, 68, 25, 74, 13, 62, 5, 54)(2, 51, 7, 56, 17, 66, 31, 80, 32, 81, 18, 67, 8, 57)(4, 53, 10, 59, 20, 69, 33, 82, 39, 88, 24, 73, 12, 61)(6, 55, 15, 64, 29, 78, 45, 94, 46, 95, 30, 79, 16, 65)(11, 60, 21, 70, 34, 83, 47, 96, 40, 89, 38, 87, 23, 72)(14, 63, 27, 76, 43, 92, 36, 85, 49, 98, 44, 93, 28, 77)(22, 71, 35, 84, 48, 97, 42, 91, 26, 75, 41, 90, 37, 86)
	L = (1, 51)(2, 55)(3, 56)(4, 50)(5, 57)(6, 63)(7, 64)(8, 65)(9, 66)(10, 52)(11, 53)(12, 54)(13, 67)(14, 75)(15, 76)(16, 77)(17, 78)(18, 79)(19, 80)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 81)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 68)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 74)(40, 88)(41, 87)(42, 96)(43, 86)(44, 97)(45, 85)(46, 98)(47, 82)(48, 83)(49, 84)
	local type(s) :: { ( 49^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1503
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 49 f = 2
	degree seq :: [ 14^7 ]

E21.1514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2, Y1^-1), Y3^7, Y1^7, Y3 * Y2^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-4 * Y3^-2 * Y2^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 22, 71, 11, 60, 4, 53)(3, 52, 7, 56, 15, 64, 26, 75, 35, 84, 21, 70, 10, 59)(5, 54, 8, 57, 16, 65, 27, 76, 36, 85, 23, 72, 12, 61)(9, 58, 17, 66, 28, 77, 38, 87, 44, 93, 34, 83, 20, 69)(13, 62, 18, 67, 29, 78, 39, 88, 45, 94, 37, 86, 24, 73)(19, 68, 30, 79, 40, 89, 46, 95, 49, 98, 43, 92, 33, 82)(25, 74, 31, 80, 41, 90, 47, 96, 48, 97, 42, 91, 32, 81)(99, 148, 101, 150, 107, 156, 117, 166, 130, 179, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 131, 180, 140, 189, 135, 184, 121, 170, 109, 158, 119, 168, 132, 181, 141, 190, 146, 195, 143, 192, 134, 183, 120, 169, 133, 182, 142, 191, 147, 196, 145, 194, 137, 186, 125, 174, 112, 161, 124, 173, 136, 185, 144, 193, 139, 188, 127, 176, 114, 163, 104, 153, 113, 162, 126, 175, 138, 187, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 128, 177, 123, 172, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 118)(10, 119)(11, 120)(12, 121)(13, 122)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 131)(20, 132)(21, 133)(22, 112)(23, 134)(24, 135)(25, 130)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 123)(32, 140)(33, 141)(34, 142)(35, 124)(36, 125)(37, 143)(38, 126)(39, 127)(40, 128)(41, 129)(42, 146)(43, 147)(44, 136)(45, 137)(46, 138)(47, 139)(48, 145)(49, 144)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ), ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1526
Graph:: bipartite
	v = 8 e = 98 f = 50
	degree seq :: [ 14^7, 98 ]

E21.1515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^7, Y2^7 * 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 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 22, 71, 11, 60, 4, 53)(3, 52, 7, 56, 15, 64, 26, 75, 34, 83, 21, 70, 10, 59)(5, 54, 8, 57, 16, 65, 27, 76, 35, 84, 23, 72, 12, 61)(9, 58, 17, 66, 28, 77, 38, 87, 43, 92, 33, 82, 20, 69)(13, 62, 18, 67, 29, 78, 39, 88, 44, 93, 36, 85, 24, 73)(19, 68, 30, 79, 40, 89, 46, 95, 48, 97, 42, 91, 32, 81)(25, 74, 31, 80, 41, 90, 47, 96, 49, 98, 45, 94, 37, 86)(99, 148, 101, 150, 107, 156, 117, 166, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 128, 177, 139, 188, 127, 176, 114, 163, 104, 153, 113, 162, 126, 175, 138, 187, 145, 194, 137, 186, 125, 174, 112, 161, 124, 173, 136, 185, 144, 193, 147, 196, 142, 191, 133, 182, 120, 169, 132, 181, 141, 190, 146, 195, 143, 192, 134, 183, 121, 170, 109, 158, 119, 168, 131, 180, 140, 189, 135, 184, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 130, 179, 123, 172, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 118)(10, 119)(11, 120)(12, 121)(13, 122)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 130)(20, 131)(21, 132)(22, 112)(23, 133)(24, 134)(25, 135)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 123)(32, 140)(33, 141)(34, 124)(35, 125)(36, 142)(37, 143)(38, 126)(39, 127)(40, 128)(41, 129)(42, 146)(43, 136)(44, 137)(45, 147)(46, 138)(47, 139)(48, 144)(49, 145)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ), ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1527
Graph:: bipartite
	v = 8 e = 98 f = 50
	degree seq :: [ 14^7, 98 ]

E21.1516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^7, Y1^7, Y3^2 * Y2^7, Y3 * Y2 * Y3 * Y2 * Y3^3 * Y2^-2 * Y1^-2 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 22, 71, 11, 60, 4, 53)(3, 52, 7, 56, 15, 64, 26, 75, 35, 84, 21, 70, 10, 59)(5, 54, 8, 57, 16, 65, 27, 76, 36, 85, 23, 72, 12, 61)(9, 58, 17, 66, 28, 77, 40, 89, 44, 93, 34, 83, 20, 69)(13, 62, 18, 67, 29, 78, 41, 90, 45, 94, 37, 86, 24, 73)(19, 68, 30, 79, 42, 91, 48, 97, 47, 96, 39, 88, 33, 82)(25, 74, 31, 80, 32, 81, 43, 92, 49, 98, 46, 95, 38, 87)(99, 148, 101, 150, 107, 156, 117, 166, 130, 179, 127, 176, 114, 163, 104, 153, 113, 162, 126, 175, 140, 189, 147, 196, 143, 192, 134, 183, 120, 169, 133, 182, 142, 191, 145, 194, 136, 185, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 131, 180, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 128, 177, 141, 190, 139, 188, 125, 174, 112, 161, 124, 173, 138, 187, 146, 195, 144, 193, 135, 184, 121, 170, 109, 158, 119, 168, 132, 181, 137, 186, 123, 172, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 118)(10, 119)(11, 120)(12, 121)(13, 122)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 131)(20, 132)(21, 133)(22, 112)(23, 134)(24, 135)(25, 136)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 123)(32, 129)(33, 137)(34, 142)(35, 124)(36, 125)(37, 143)(38, 144)(39, 145)(40, 126)(41, 127)(42, 128)(43, 130)(44, 138)(45, 139)(46, 147)(47, 146)(48, 140)(49, 141)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ), ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1529
Graph:: bipartite
	v = 8 e = 98 f = 50
	degree seq :: [ 14^7, 98 ]

E21.1517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y1^7, Y2^3 * Y1 * Y2^4 * Y3^-1, Y2^7 * Y1 * Y3^-1, Y2^2 * Y3 * Y2 * Y3 * Y2^4 * Y1^-3, (Y1^-1 * Y3)^7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 50, 2, 51, 6, 55, 14, 63, 22, 71, 11, 60, 4, 53)(3, 52, 7, 56, 15, 64, 26, 75, 35, 84, 21, 70, 10, 59)(5, 54, 8, 57, 16, 65, 27, 76, 36, 85, 23, 72, 12, 61)(9, 58, 17, 66, 28, 77, 40, 89, 46, 95, 34, 83, 20, 69)(13, 62, 18, 67, 29, 78, 41, 90, 47, 96, 37, 86, 24, 73)(19, 68, 30, 79, 39, 88, 43, 92, 49, 98, 45, 94, 33, 82)(25, 74, 31, 80, 42, 91, 48, 97, 44, 93, 32, 81, 38, 87)(99, 148, 101, 150, 107, 156, 117, 166, 130, 179, 135, 184, 121, 170, 109, 158, 119, 168, 132, 181, 143, 192, 146, 195, 139, 188, 125, 174, 112, 161, 124, 173, 138, 187, 141, 190, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 128, 177, 136, 185, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 131, 180, 142, 191, 145, 194, 134, 183, 120, 169, 133, 182, 144, 193, 147, 196, 140, 189, 127, 176, 114, 163, 104, 153, 113, 162, 126, 175, 137, 186, 123, 172, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 118)(10, 119)(11, 120)(12, 121)(13, 122)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 131)(20, 132)(21, 133)(22, 112)(23, 134)(24, 135)(25, 136)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 123)(32, 142)(33, 143)(34, 144)(35, 124)(36, 125)(37, 145)(38, 130)(39, 128)(40, 126)(41, 127)(42, 129)(43, 137)(44, 146)(45, 147)(46, 138)(47, 139)(48, 140)(49, 141)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ), ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1528
Graph:: bipartite
	v = 8 e = 98 f = 50
	degree seq :: [ 14^7, 98 ]

E21.1518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^7, Y1^2 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2^5 * Y1^-1, (Y1^-3 * Y3)^7, 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^-3 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 22, 71, 11, 60, 4, 53)(3, 52, 7, 56, 15, 64, 26, 75, 35, 84, 21, 70, 10, 59)(5, 54, 8, 57, 16, 65, 27, 76, 36, 85, 23, 72, 12, 61)(9, 58, 17, 66, 28, 77, 40, 89, 46, 95, 34, 83, 20, 69)(13, 62, 18, 67, 29, 78, 41, 90, 47, 96, 37, 86, 24, 73)(19, 68, 30, 79, 42, 91, 49, 98, 39, 88, 45, 94, 33, 82)(25, 74, 31, 80, 43, 92, 32, 81, 44, 93, 48, 97, 38, 87)(99, 148, 101, 150, 107, 156, 117, 166, 130, 179, 139, 188, 125, 174, 112, 161, 124, 173, 138, 187, 147, 196, 136, 185, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 131, 180, 141, 190, 127, 176, 114, 163, 104, 153, 113, 162, 126, 175, 140, 189, 146, 195, 135, 184, 121, 170, 109, 158, 119, 168, 132, 181, 143, 192, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 128, 177, 142, 191, 145, 194, 134, 183, 120, 169, 133, 182, 144, 193, 137, 186, 123, 172, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 118)(10, 119)(11, 120)(12, 121)(13, 122)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 131)(20, 132)(21, 133)(22, 112)(23, 134)(24, 135)(25, 136)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 123)(32, 141)(33, 143)(34, 144)(35, 124)(36, 125)(37, 145)(38, 146)(39, 147)(40, 126)(41, 127)(42, 128)(43, 129)(44, 130)(45, 137)(46, 138)(47, 139)(48, 142)(49, 140)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ), ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1531
Graph:: bipartite
	v = 8 e = 98 f = 50
	degree seq :: [ 14^7, 98 ]

E21.1519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y3^-1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, Y2^-1 * Y3^-2 * Y2 * Y1^-2, Y2^-1 * Y1^-2 * Y2 * Y3^-2, Y1^7, Y2^-5 * Y3^2 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-3 * Y3^-2 * Y2^-3, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-4, Y2^2 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 50, 2, 51, 6, 55, 14, 63, 22, 71, 11, 60, 4, 53)(3, 52, 7, 56, 15, 64, 26, 75, 35, 84, 21, 70, 10, 59)(5, 54, 8, 57, 16, 65, 27, 76, 36, 85, 23, 72, 12, 61)(9, 58, 17, 66, 28, 77, 40, 89, 49, 98, 34, 83, 20, 69)(13, 62, 18, 67, 29, 78, 41, 90, 46, 95, 37, 86, 24, 73)(19, 68, 30, 79, 42, 91, 39, 88, 45, 94, 48, 97, 33, 82)(25, 74, 31, 80, 43, 92, 47, 96, 32, 81, 44, 93, 38, 87)(99, 148, 101, 150, 107, 156, 117, 166, 130, 179, 144, 193, 134, 183, 120, 169, 133, 182, 147, 196, 143, 192, 129, 178, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 128, 177, 142, 191, 135, 184, 121, 170, 109, 158, 119, 168, 132, 181, 146, 195, 141, 190, 127, 176, 114, 163, 104, 153, 113, 162, 126, 175, 140, 189, 136, 185, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 131, 180, 145, 194, 139, 188, 125, 174, 112, 161, 124, 173, 138, 187, 137, 186, 123, 172, 111, 160, 103, 152)
	L = (1, 102)(2, 99)(3, 108)(4, 109)(5, 110)(6, 100)(7, 101)(8, 103)(9, 118)(10, 119)(11, 120)(12, 121)(13, 122)(14, 104)(15, 105)(16, 106)(17, 107)(18, 111)(19, 131)(20, 132)(21, 133)(22, 112)(23, 134)(24, 135)(25, 136)(26, 113)(27, 114)(28, 115)(29, 116)(30, 117)(31, 123)(32, 145)(33, 146)(34, 147)(35, 124)(36, 125)(37, 144)(38, 142)(39, 140)(40, 126)(41, 127)(42, 128)(43, 129)(44, 130)(45, 137)(46, 139)(47, 141)(48, 143)(49, 138)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ), ( 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98, 2, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1530
Graph:: bipartite
	v = 8 e = 98 f = 50
	degree seq :: [ 14^7, 98 ]

E21.1520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-1 * Y1 * Y2^-5, Y1^3 * Y2 * Y1^5, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 35, 84, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 38, 87, 44, 93, 36, 85, 24, 73, 13, 62, 18, 67, 30, 79, 40, 89, 46, 95, 49, 98, 45, 94, 37, 86, 25, 74, 19, 68, 31, 80, 41, 90, 47, 96, 48, 97, 42, 91, 32, 81, 20, 69, 9, 58, 17, 66, 29, 78, 39, 88, 43, 92, 33, 82, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 34, 83, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 129, 178, 128, 177, 114, 163, 104, 153, 113, 162, 127, 176, 139, 188, 138, 187, 126, 175, 112, 161, 125, 174, 137, 186, 145, 194, 144, 193, 136, 185, 124, 173, 132, 181, 141, 190, 146, 195, 147, 196, 142, 191, 133, 182, 120, 169, 131, 180, 140, 189, 143, 192, 134, 183, 121, 170, 109, 158, 119, 168, 130, 179, 135, 184, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 123, 172, 111, 160, 103, 152)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 116)(20, 123)(21, 130)(22, 131)(23, 109)(24, 110)(25, 111)(26, 132)(27, 137)(28, 112)(29, 139)(30, 114)(31, 128)(32, 135)(33, 140)(34, 141)(35, 120)(36, 121)(37, 122)(38, 124)(39, 145)(40, 126)(41, 138)(42, 143)(43, 146)(44, 133)(45, 134)(46, 136)(47, 144)(48, 147)(49, 142)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.1523
Graph:: bipartite
	v = 2 e = 98 f = 56
	degree seq :: [ 98^2 ]

E21.1521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y1^3 * Y2^-1 * Y1 * Y2^-2, Y2^9 * Y1 * Y2 * Y1^2, (Y3^-1 * Y1^-1)^7, Y1^-1 * Y2^-1 * Y1^-3 * Y2^-1 * Y1^-3 * Y2^-1 * Y1^-3 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 19, 68, 28, 77, 35, 84, 42, 91, 45, 94, 47, 96, 40, 89, 33, 82, 30, 79, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 20, 69, 9, 58, 17, 66, 27, 76, 34, 83, 37, 86, 44, 93, 48, 97, 41, 90, 38, 87, 31, 80, 24, 73, 13, 62, 18, 67, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 26, 75, 29, 78, 36, 85, 43, 92, 49, 98, 46, 95, 39, 88, 32, 81, 25, 74, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 127, 176, 135, 184, 143, 192, 144, 193, 136, 185, 128, 177, 120, 169, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 126, 175, 134, 183, 142, 191, 145, 194, 137, 186, 129, 178, 121, 170, 109, 158, 119, 168, 114, 163, 104, 153, 113, 162, 125, 174, 133, 182, 141, 190, 146, 195, 138, 187, 130, 179, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 112, 161, 124, 173, 132, 181, 140, 189, 147, 196, 139, 188, 131, 180, 123, 172, 111, 160, 103, 152)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 124)(15, 125)(16, 104)(17, 126)(18, 106)(19, 127)(20, 112)(21, 114)(22, 116)(23, 109)(24, 110)(25, 111)(26, 132)(27, 133)(28, 134)(29, 135)(30, 120)(31, 121)(32, 122)(33, 123)(34, 140)(35, 141)(36, 142)(37, 143)(38, 128)(39, 129)(40, 130)(41, 131)(42, 147)(43, 146)(44, 145)(45, 144)(46, 136)(47, 137)(48, 138)(49, 139)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.1525
Graph:: bipartite
	v = 2 e = 98 f = 56
	degree seq :: [ 98^2 ]

E21.1522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2, Y1), Y2 * Y1^-1 * Y2 * Y1^-4, Y2^7 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 20, 69, 9, 58, 17, 66, 27, 76, 36, 85, 41, 90, 30, 79, 38, 87, 45, 94, 47, 96, 49, 98, 43, 92, 34, 83, 25, 74, 29, 78, 32, 81, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 26, 75, 31, 80, 19, 68, 28, 77, 37, 86, 46, 95, 48, 97, 40, 89, 44, 93, 35, 84, 39, 88, 42, 91, 33, 82, 24, 73, 13, 62, 18, 67, 22, 71, 11, 60, 4, 53)(99, 148, 101, 150, 107, 156, 117, 166, 128, 177, 138, 187, 141, 190, 131, 180, 121, 170, 109, 158, 119, 168, 112, 161, 124, 173, 134, 183, 144, 193, 145, 194, 137, 186, 127, 176, 116, 165, 106, 155, 100, 149, 105, 154, 115, 164, 126, 175, 136, 185, 142, 191, 132, 181, 122, 171, 110, 159, 102, 151, 108, 157, 118, 167, 129, 178, 139, 188, 146, 195, 147, 196, 140, 189, 130, 179, 120, 169, 114, 163, 104, 153, 113, 162, 125, 174, 135, 184, 143, 192, 133, 182, 123, 172, 111, 160, 103, 152)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 124)(15, 125)(16, 104)(17, 126)(18, 106)(19, 128)(20, 129)(21, 112)(22, 114)(23, 109)(24, 110)(25, 111)(26, 134)(27, 135)(28, 136)(29, 116)(30, 138)(31, 139)(32, 120)(33, 121)(34, 122)(35, 123)(36, 144)(37, 143)(38, 142)(39, 127)(40, 141)(41, 146)(42, 130)(43, 131)(44, 132)(45, 133)(46, 145)(47, 137)(48, 147)(49, 140)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.1524
Graph:: bipartite
	v = 2 e = 98 f = 56
	degree seq :: [ 98^2 ]

E21.1523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^7, Y2^-1 * Y3^7, 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^-2 * Y3^-2, (Y3^-1 * Y1^-1)^49 ]
Map::
	R = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)(99, 148, 100, 149, 104, 153, 112, 161, 120, 169, 109, 158, 102, 151)(101, 150, 105, 154, 113, 162, 124, 173, 132, 181, 119, 168, 108, 157)(103, 152, 106, 155, 114, 163, 125, 174, 133, 182, 121, 170, 110, 159)(107, 156, 115, 164, 126, 175, 136, 185, 141, 190, 131, 180, 118, 167)(111, 160, 116, 165, 127, 176, 137, 186, 142, 191, 134, 183, 122, 171)(117, 166, 128, 177, 138, 187, 144, 193, 146, 195, 140, 189, 130, 179)(123, 172, 129, 178, 139, 188, 145, 194, 147, 196, 143, 192, 135, 184)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 124)(15, 126)(16, 104)(17, 128)(18, 106)(19, 129)(20, 130)(21, 131)(22, 132)(23, 109)(24, 110)(25, 111)(26, 136)(27, 112)(28, 138)(29, 114)(30, 139)(31, 116)(32, 123)(33, 140)(34, 141)(35, 120)(36, 121)(37, 122)(38, 144)(39, 125)(40, 145)(41, 127)(42, 135)(43, 146)(44, 133)(45, 134)(46, 147)(47, 137)(48, 143)(49, 142)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 98, 98 ), ( 98^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1520
Graph:: simple bipartite
	v = 56 e = 98 f = 2
	degree seq :: [ 2^49, 14^7 ]

E21.1524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^7, Y2^7, Y2^2 * Y3^-7, Y3^-2 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-2 * Y3^-3 * Y2^-3, (Y3^-1 * Y1^-1)^49 ]
Map::
	R = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)(99, 148, 100, 149, 104, 153, 112, 161, 120, 169, 109, 158, 102, 151)(101, 150, 105, 154, 113, 162, 124, 173, 133, 182, 119, 168, 108, 157)(103, 152, 106, 155, 114, 163, 125, 174, 134, 183, 121, 170, 110, 159)(107, 156, 115, 164, 126, 175, 138, 187, 142, 191, 132, 181, 118, 167)(111, 160, 116, 165, 127, 176, 139, 188, 143, 192, 135, 184, 122, 171)(117, 166, 128, 177, 140, 189, 146, 195, 145, 194, 137, 186, 131, 180)(123, 172, 129, 178, 130, 179, 141, 190, 147, 196, 144, 193, 136, 185)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 124)(15, 126)(16, 104)(17, 128)(18, 106)(19, 130)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 138)(27, 112)(28, 140)(29, 114)(30, 141)(31, 116)(32, 127)(33, 129)(34, 137)(35, 142)(36, 120)(37, 121)(38, 122)(39, 123)(40, 146)(41, 125)(42, 147)(43, 139)(44, 145)(45, 134)(46, 135)(47, 136)(48, 144)(49, 143)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 98, 98 ), ( 98^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1522
Graph:: simple bipartite
	v = 56 e = 98 f = 2
	degree seq :: [ 2^49, 14^7 ]

E21.1525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-7, Y2^7, Y3^7 * Y2^-3, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^49 ]
Map::
	R = (1, 50)(2, 51)(3, 52)(4, 53)(5, 54)(6, 55)(7, 56)(8, 57)(9, 58)(10, 59)(11, 60)(12, 61)(13, 62)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 74)(26, 75)(27, 76)(28, 77)(29, 78)(30, 79)(31, 80)(32, 81)(33, 82)(34, 83)(35, 84)(36, 85)(37, 86)(38, 87)(39, 88)(40, 89)(41, 90)(42, 91)(43, 92)(44, 93)(45, 94)(46, 95)(47, 96)(48, 97)(49, 98)(99, 148, 100, 149, 104, 153, 112, 161, 120, 169, 109, 158, 102, 151)(101, 150, 105, 154, 113, 162, 124, 173, 133, 182, 119, 168, 108, 157)(103, 152, 106, 155, 114, 163, 125, 174, 134, 183, 121, 170, 110, 159)(107, 156, 115, 164, 126, 175, 138, 187, 144, 193, 132, 181, 118, 167)(111, 160, 116, 165, 127, 176, 139, 188, 145, 194, 135, 184, 122, 171)(117, 166, 128, 177, 140, 189, 147, 196, 137, 186, 143, 192, 131, 180)(123, 172, 129, 178, 141, 190, 130, 179, 142, 191, 146, 195, 136, 185)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 124)(15, 126)(16, 104)(17, 128)(18, 106)(19, 130)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 138)(27, 112)(28, 140)(29, 114)(30, 142)(31, 116)(32, 139)(33, 141)(34, 143)(35, 144)(36, 120)(37, 121)(38, 122)(39, 123)(40, 147)(41, 125)(42, 146)(43, 127)(44, 145)(45, 129)(46, 137)(47, 134)(48, 135)(49, 136)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 98, 98 ), ( 98^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1521
Graph:: simple bipartite
	v = 56 e = 98 f = 2
	degree seq :: [ 2^49, 14^7 ]

E21.1526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y1^-7 * Y3, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^49 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 38, 87, 34, 83, 20, 69, 9, 58, 17, 66, 29, 78, 39, 88, 46, 95, 43, 92, 33, 82, 19, 68, 31, 80, 41, 90, 47, 96, 49, 98, 45, 94, 37, 86, 25, 74, 32, 81, 42, 91, 48, 97, 44, 93, 36, 85, 24, 73, 13, 62, 18, 67, 30, 79, 40, 89, 35, 84, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 22, 71, 11, 60, 4, 53)(99, 148)(100, 149)(101, 150)(102, 151)(103, 152)(104, 153)(105, 154)(106, 155)(107, 156)(108, 157)(109, 158)(110, 159)(111, 160)(112, 161)(113, 162)(114, 163)(115, 164)(116, 165)(117, 166)(118, 167)(119, 168)(120, 169)(121, 170)(122, 171)(123, 172)(124, 173)(125, 174)(126, 175)(127, 176)(128, 177)(129, 178)(130, 179)(131, 180)(132, 181)(133, 182)(134, 183)(135, 184)(136, 185)(137, 186)(138, 187)(139, 188)(140, 189)(141, 190)(142, 191)(143, 192)(144, 193)(145, 194)(146, 195)(147, 196)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 123)(20, 131)(21, 132)(22, 124)(23, 109)(24, 110)(25, 111)(26, 136)(27, 137)(28, 112)(29, 139)(30, 114)(31, 130)(32, 116)(33, 135)(34, 141)(35, 120)(36, 121)(37, 122)(38, 144)(39, 145)(40, 126)(41, 140)(42, 128)(43, 143)(44, 133)(45, 134)(46, 147)(47, 146)(48, 138)(49, 142)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 14, 98 ), ( 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1514
Graph:: bipartite
	v = 50 e = 98 f = 8
	degree seq :: [ 2^49, 98 ]

E21.1527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y1^-7 * Y3^-1, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^49 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 38, 87, 36, 85, 24, 73, 13, 62, 18, 67, 30, 79, 40, 89, 46, 95, 45, 94, 37, 86, 25, 74, 32, 81, 42, 91, 48, 97, 49, 98, 43, 92, 33, 82, 19, 68, 31, 80, 41, 90, 47, 96, 44, 93, 34, 83, 20, 69, 9, 58, 17, 66, 29, 78, 39, 88, 35, 84, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 22, 71, 11, 60, 4, 53)(99, 148)(100, 149)(101, 150)(102, 151)(103, 152)(104, 153)(105, 154)(106, 155)(107, 156)(108, 157)(109, 158)(110, 159)(111, 160)(112, 161)(113, 162)(114, 163)(115, 164)(116, 165)(117, 166)(118, 167)(119, 168)(120, 169)(121, 170)(122, 171)(123, 172)(124, 173)(125, 174)(126, 175)(127, 176)(128, 177)(129, 178)(130, 179)(131, 180)(132, 181)(133, 182)(134, 183)(135, 184)(136, 185)(137, 186)(138, 187)(139, 188)(140, 189)(141, 190)(142, 191)(143, 192)(144, 193)(145, 194)(146, 195)(147, 196)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 123)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 120)(27, 137)(28, 112)(29, 139)(30, 114)(31, 130)(32, 116)(33, 135)(34, 141)(35, 142)(36, 121)(37, 122)(38, 124)(39, 145)(40, 126)(41, 140)(42, 128)(43, 143)(44, 147)(45, 134)(46, 136)(47, 146)(48, 138)(49, 144)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 14, 98 ), ( 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1515
Graph:: bipartite
	v = 50 e = 98 f = 8
	degree seq :: [ 2^49, 98 ]

E21.1528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y1^7 * Y3^-2, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 34, 83, 20, 69, 9, 58, 17, 66, 29, 78, 41, 90, 48, 97, 47, 96, 39, 88, 25, 74, 32, 81, 43, 92, 45, 94, 37, 86, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 35, 84, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 40, 89, 44, 93, 33, 82, 19, 68, 31, 80, 42, 91, 49, 98, 46, 95, 38, 87, 24, 73, 13, 62, 18, 67, 30, 79, 36, 85, 22, 71, 11, 60, 4, 53)(99, 148)(100, 149)(101, 150)(102, 151)(103, 152)(104, 153)(105, 154)(106, 155)(107, 156)(108, 157)(109, 158)(110, 159)(111, 160)(112, 161)(113, 162)(114, 163)(115, 164)(116, 165)(117, 166)(118, 167)(119, 168)(120, 169)(121, 170)(122, 171)(123, 172)(124, 173)(125, 174)(126, 175)(127, 176)(128, 177)(129, 178)(130, 179)(131, 180)(132, 181)(133, 182)(134, 183)(135, 184)(136, 185)(137, 186)(138, 187)(139, 188)(140, 189)(141, 190)(142, 191)(143, 192)(144, 193)(145, 194)(146, 195)(147, 196)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 123)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 138)(27, 139)(28, 112)(29, 140)(30, 114)(31, 130)(32, 116)(33, 137)(34, 142)(35, 124)(36, 126)(37, 120)(38, 121)(39, 122)(40, 146)(41, 147)(42, 141)(43, 128)(44, 145)(45, 134)(46, 135)(47, 136)(48, 144)(49, 143)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 14, 98 ), ( 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1517
Graph:: bipartite
	v = 50 e = 98 f = 8
	degree seq :: [ 2^49, 98 ]

E21.1529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y3^7, Y3^2 * Y1^7, (Y3 * Y2^-1)^7, Y3^14, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-1 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 38, 87, 24, 73, 13, 62, 18, 67, 30, 79, 41, 90, 48, 97, 44, 93, 33, 82, 19, 68, 31, 80, 42, 91, 46, 95, 35, 84, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 37, 86, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 40, 89, 47, 96, 39, 88, 25, 74, 32, 81, 43, 92, 49, 98, 45, 94, 34, 83, 20, 69, 9, 58, 17, 66, 29, 78, 36, 85, 22, 71, 11, 60, 4, 53)(99, 148)(100, 149)(101, 150)(102, 151)(103, 152)(104, 153)(105, 154)(106, 155)(107, 156)(108, 157)(109, 158)(110, 159)(111, 160)(112, 161)(113, 162)(114, 163)(115, 164)(116, 165)(117, 166)(118, 167)(119, 168)(120, 169)(121, 170)(122, 171)(123, 172)(124, 173)(125, 174)(126, 175)(127, 176)(128, 177)(129, 178)(130, 179)(131, 180)(132, 181)(133, 182)(134, 183)(135, 184)(136, 185)(137, 186)(138, 187)(139, 188)(140, 189)(141, 190)(142, 191)(143, 192)(144, 193)(145, 194)(146, 195)(147, 196)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 123)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 135)(27, 134)(28, 112)(29, 140)(30, 114)(31, 130)(32, 116)(33, 137)(34, 142)(35, 143)(36, 144)(37, 120)(38, 121)(39, 122)(40, 124)(41, 126)(42, 141)(43, 128)(44, 145)(45, 146)(46, 147)(47, 136)(48, 138)(49, 139)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 14, 98 ), ( 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1516
Graph:: bipartite
	v = 50 e = 98 f = 8
	degree seq :: [ 2^49, 98 ]

E21.1530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-3 * Y3^2 * Y1^-4 * Y3, Y1^3 * Y3^4 * Y1^4, (Y3 * Y2^-1)^7, Y3^-6 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-4 * Y1^-1 * 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 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-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::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 40, 89, 33, 82, 19, 68, 31, 80, 45, 94, 47, 96, 37, 86, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 42, 91, 34, 83, 20, 69, 9, 58, 17, 66, 29, 78, 43, 92, 48, 97, 38, 87, 24, 73, 13, 62, 18, 67, 30, 79, 44, 93, 35, 84, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 41, 90, 49, 98, 39, 88, 25, 74, 32, 81, 46, 95, 36, 85, 22, 71, 11, 60, 4, 53)(99, 148)(100, 149)(101, 150)(102, 151)(103, 152)(104, 153)(105, 154)(106, 155)(107, 156)(108, 157)(109, 158)(110, 159)(111, 160)(112, 161)(113, 162)(114, 163)(115, 164)(116, 165)(117, 166)(118, 167)(119, 168)(120, 169)(121, 170)(122, 171)(123, 172)(124, 173)(125, 174)(126, 175)(127, 176)(128, 177)(129, 178)(130, 179)(131, 180)(132, 181)(133, 182)(134, 183)(135, 184)(136, 185)(137, 186)(138, 187)(139, 188)(140, 189)(141, 190)(142, 191)(143, 192)(144, 193)(145, 194)(146, 195)(147, 196)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 123)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 139)(27, 141)(28, 112)(29, 143)(30, 114)(31, 130)(32, 116)(33, 137)(34, 138)(35, 140)(36, 142)(37, 120)(38, 121)(39, 122)(40, 147)(41, 146)(42, 124)(43, 145)(44, 126)(45, 144)(46, 128)(47, 134)(48, 135)(49, 136)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 14, 98 ), ( 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1519
Graph:: bipartite
	v = 50 e = 98 f = 8
	degree seq :: [ 2^49, 98 ]

E21.1531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 49, 49})
Quotient :: dipole
Aut^+ = C49 (small group id <49, 1>)
Aut   = D98 (small group id <98, 1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^-7, Y3^-3 * Y1^-7, Y3^14, (Y3 * Y2^-1)^7, Y3^21, (Y1^-1 * Y3^-1)^49 ]
Map::
	R = (1, 50, 2, 51, 6, 55, 14, 63, 26, 75, 40, 89, 39, 88, 25, 74, 32, 81, 46, 95, 49, 98, 35, 84, 21, 70, 10, 59, 3, 52, 7, 56, 15, 64, 27, 76, 41, 90, 38, 87, 24, 73, 13, 62, 18, 67, 30, 79, 44, 93, 48, 97, 34, 83, 20, 69, 9, 58, 17, 66, 29, 78, 43, 92, 37, 86, 23, 72, 12, 61, 5, 54, 8, 57, 16, 65, 28, 77, 42, 91, 47, 96, 33, 82, 19, 68, 31, 80, 45, 94, 36, 85, 22, 71, 11, 60, 4, 53)(99, 148)(100, 149)(101, 150)(102, 151)(103, 152)(104, 153)(105, 154)(106, 155)(107, 156)(108, 157)(109, 158)(110, 159)(111, 160)(112, 161)(113, 162)(114, 163)(115, 164)(116, 165)(117, 166)(118, 167)(119, 168)(120, 169)(121, 170)(122, 171)(123, 172)(124, 173)(125, 174)(126, 175)(127, 176)(128, 177)(129, 178)(130, 179)(131, 180)(132, 181)(133, 182)(134, 183)(135, 184)(136, 185)(137, 186)(138, 187)(139, 188)(140, 189)(141, 190)(142, 191)(143, 192)(144, 193)(145, 194)(146, 195)(147, 196)
	L = (1, 101)(2, 105)(3, 107)(4, 108)(5, 99)(6, 113)(7, 115)(8, 100)(9, 117)(10, 118)(11, 119)(12, 102)(13, 103)(14, 125)(15, 127)(16, 104)(17, 129)(18, 106)(19, 123)(20, 131)(21, 132)(22, 133)(23, 109)(24, 110)(25, 111)(26, 139)(27, 141)(28, 112)(29, 143)(30, 114)(31, 130)(32, 116)(33, 137)(34, 145)(35, 146)(36, 147)(37, 120)(38, 121)(39, 122)(40, 136)(41, 135)(42, 124)(43, 134)(44, 126)(45, 144)(46, 128)(47, 138)(48, 140)(49, 142)(50, 148)(51, 149)(52, 150)(53, 151)(54, 152)(55, 153)(56, 154)(57, 155)(58, 156)(59, 157)(60, 158)(61, 159)(62, 160)(63, 161)(64, 162)(65, 163)(66, 164)(67, 165)(68, 166)(69, 167)(70, 168)(71, 169)(72, 170)(73, 171)(74, 172)(75, 173)(76, 174)(77, 175)(78, 176)(79, 177)(80, 178)(81, 179)(82, 180)(83, 181)(84, 182)(85, 183)(86, 184)(87, 185)(88, 186)(89, 187)(90, 188)(91, 189)(92, 190)(93, 191)(94, 192)(95, 193)(96, 194)(97, 195)(98, 196)
	local type(s) :: { ( 14, 98 ), ( 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98, 14, 98 ) }
Outer automorphisms :: reflexible
Dual of E21.1518
Graph:: bipartite
	v = 50 e = 98 f = 8
	degree seq :: [ 2^49, 98 ]

E21.1532 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
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 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^10, (Y2 * Y1^-1)^5 ]
Map::
	R = (1, 52, 2, 55, 5, 61, 11, 70, 20, 82, 32, 81, 31, 69, 19, 60, 10, 54, 4, 51)(3, 57, 7, 62, 12, 72, 22, 83, 33, 95, 45, 92, 42, 78, 28, 67, 17, 58, 8, 53)(6, 63, 13, 71, 21, 84, 34, 94, 44, 93, 43, 80, 30, 68, 18, 59, 9, 64, 14, 56)(15, 75, 25, 85, 35, 97, 47, 100, 50, 98, 48, 91, 41, 77, 27, 66, 16, 76, 26, 65)(23, 86, 36, 96, 46, 90, 40, 99, 49, 89, 39, 79, 29, 88, 38, 74, 24, 87, 37, 73)
	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, 36)(28, 41)(31, 42)(32, 44)(34, 46)(37, 48)(38, 47)(43, 49)(45, 50)(51, 53)(52, 56)(54, 59)(55, 62)(57, 65)(58, 66)(60, 67)(61, 71)(63, 73)(64, 74)(68, 79)(69, 80)(70, 83)(72, 85)(75, 89)(76, 90)(77, 86)(78, 91)(81, 92)(82, 94)(84, 96)(87, 98)(88, 97)(93, 99)(95, 100)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph::
	v = 5 e = 50 f = 5
	degree seq :: [ 20^5 ]

E21.1533 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 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 :: [ Y1^2, Y2^2, R^2, Y1 * Y2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y3 * Y1)^5, Y3^10 ]
Map::
	R = (1, 51, 3, 53, 8, 58, 17, 67, 28, 78, 42, 92, 31, 81, 19, 69, 10, 60, 4, 54)(2, 52, 5, 55, 12, 62, 22, 72, 35, 85, 47, 97, 38, 88, 24, 74, 14, 64, 6, 56)(7, 57, 15, 65, 26, 76, 40, 90, 49, 99, 43, 93, 30, 80, 18, 68, 9, 59, 16, 66)(11, 61, 20, 70, 33, 83, 45, 95, 50, 100, 48, 98, 37, 87, 23, 73, 13, 63, 21, 71)(25, 75, 36, 86, 46, 96, 34, 84, 44, 94, 32, 82, 29, 79, 41, 91, 27, 77, 39, 89)(101, 102)(103, 107)(104, 109)(105, 111)(106, 113)(108, 112)(110, 114)(115, 125)(116, 127)(117, 126)(118, 129)(119, 130)(120, 132)(121, 134)(122, 133)(123, 136)(124, 137)(128, 135)(131, 138)(139, 148)(140, 146)(141, 145)(142, 149)(143, 144)(147, 150)(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, 198)(190, 196)(191, 195)(192, 199)(193, 194)(197, 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, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E21.1535
Graph:: simple bipartite
	v = 55 e = 100 f = 5
	degree seq :: [ 2^50, 20^5 ]

E21.1534 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = C10 x D10 (small group id <100, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y3 * Y2^-2 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^10, Y2^10 ]
Map:: non-degenerate
	R = (1, 51, 4, 54)(2, 52, 6, 56)(3, 53, 8, 58)(5, 55, 12, 62)(7, 57, 16, 66)(9, 59, 18, 68)(10, 60, 19, 69)(11, 61, 21, 71)(13, 63, 23, 73)(14, 64, 24, 74)(15, 65, 26, 76)(17, 67, 28, 78)(20, 70, 33, 83)(22, 72, 35, 85)(25, 75, 39, 89)(27, 77, 41, 91)(29, 79, 42, 92)(30, 80, 43, 93)(31, 81, 36, 86)(32, 82, 44, 94)(34, 84, 46, 96)(37, 87, 48, 98)(38, 88, 47, 97)(40, 90, 49, 99)(45, 95, 50, 100)(101, 102, 105, 111, 120, 132, 125, 115, 107, 103)(104, 109, 112, 122, 133, 145, 139, 127, 116, 110)(106, 113, 121, 134, 144, 140, 126, 117, 108, 114)(118, 129, 135, 147, 150, 148, 141, 131, 119, 130)(123, 136, 146, 143, 149, 142, 128, 138, 124, 137)(151, 153, 157, 165, 175, 182, 170, 161, 155, 152)(154, 160, 166, 177, 189, 195, 183, 172, 162, 159)(156, 164, 158, 167, 176, 190, 194, 184, 171, 163)(168, 180, 169, 181, 191, 198, 200, 197, 185, 179)(173, 187, 174, 188, 178, 192, 199, 193, 196, 186)
	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) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E21.1536
Graph:: simple bipartite
	v = 35 e = 100 f = 25
	degree seq :: [ 4^25, 10^10 ]

E21.1535 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 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 :: [ Y1^2, Y2^2, R^2, Y1 * Y2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, (Y3 * Y1)^5, Y3^10 ]
Map::
	R = (1, 51, 101, 151, 3, 53, 103, 153, 8, 58, 108, 158, 17, 67, 117, 167, 28, 78, 128, 178, 42, 92, 142, 192, 31, 81, 131, 181, 19, 69, 119, 169, 10, 60, 110, 160, 4, 54, 104, 154)(2, 52, 102, 152, 5, 55, 105, 155, 12, 62, 112, 162, 22, 72, 122, 172, 35, 85, 135, 185, 47, 97, 147, 197, 38, 88, 138, 188, 24, 74, 124, 174, 14, 64, 114, 164, 6, 56, 106, 156)(7, 57, 107, 157, 15, 65, 115, 165, 26, 76, 126, 176, 40, 90, 140, 190, 49, 99, 149, 199, 43, 93, 143, 193, 30, 80, 130, 180, 18, 68, 118, 168, 9, 59, 109, 159, 16, 66, 116, 166)(11, 61, 111, 161, 20, 70, 120, 170, 33, 83, 133, 183, 45, 95, 145, 195, 50, 100, 150, 200, 48, 98, 148, 198, 37, 87, 137, 187, 23, 73, 123, 173, 13, 63, 113, 163, 21, 71, 121, 171)(25, 75, 125, 175, 36, 86, 136, 186, 46, 96, 146, 196, 34, 84, 134, 184, 44, 94, 144, 194, 32, 82, 132, 182, 29, 79, 129, 179, 41, 91, 141, 191, 27, 77, 127, 177, 39, 89, 139, 189)
	L = (1, 52)(2, 51)(3, 57)(4, 59)(5, 61)(6, 63)(7, 53)(8, 62)(9, 54)(10, 64)(11, 55)(12, 58)(13, 56)(14, 60)(15, 75)(16, 77)(17, 76)(18, 79)(19, 80)(20, 82)(21, 84)(22, 83)(23, 86)(24, 87)(25, 65)(26, 67)(27, 66)(28, 85)(29, 68)(30, 69)(31, 88)(32, 70)(33, 72)(34, 71)(35, 78)(36, 73)(37, 74)(38, 81)(39, 98)(40, 96)(41, 95)(42, 99)(43, 94)(44, 93)(45, 91)(46, 90)(47, 100)(48, 89)(49, 92)(50, 97)(101, 152)(102, 151)(103, 157)(104, 159)(105, 161)(106, 163)(107, 153)(108, 162)(109, 154)(110, 164)(111, 155)(112, 158)(113, 156)(114, 160)(115, 175)(116, 177)(117, 176)(118, 179)(119, 180)(120, 182)(121, 184)(122, 183)(123, 186)(124, 187)(125, 165)(126, 167)(127, 166)(128, 185)(129, 168)(130, 169)(131, 188)(132, 170)(133, 172)(134, 171)(135, 178)(136, 173)(137, 174)(138, 181)(139, 198)(140, 196)(141, 195)(142, 199)(143, 194)(144, 193)(145, 191)(146, 190)(147, 200)(148, 189)(149, 192)(150, 197)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1533
Transitivity :: VT+
Graph::
	v = 5 e = 100 f = 55
	degree seq :: [ 40^5 ]

E21.1536 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C5 x D10 (small group id <50, 3>)
Aut   = C10 x D10 (small group id <100, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y3 * Y2^-2 * Y3, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^10, Y2^10 ]
Map:: non-degenerate
	R = (1, 51, 101, 151, 4, 54, 104, 154)(2, 52, 102, 152, 6, 56, 106, 156)(3, 53, 103, 153, 8, 58, 108, 158)(5, 55, 105, 155, 12, 62, 112, 162)(7, 57, 107, 157, 16, 66, 116, 166)(9, 59, 109, 159, 18, 68, 118, 168)(10, 60, 110, 160, 19, 69, 119, 169)(11, 61, 111, 161, 21, 71, 121, 171)(13, 63, 113, 163, 23, 73, 123, 173)(14, 64, 114, 164, 24, 74, 124, 174)(15, 65, 115, 165, 26, 76, 126, 176)(17, 67, 117, 167, 28, 78, 128, 178)(20, 70, 120, 170, 33, 83, 133, 183)(22, 72, 122, 172, 35, 85, 135, 185)(25, 75, 125, 175, 39, 89, 139, 189)(27, 77, 127, 177, 41, 91, 141, 191)(29, 79, 129, 179, 42, 92, 142, 192)(30, 80, 130, 180, 43, 93, 143, 193)(31, 81, 131, 181, 36, 86, 136, 186)(32, 82, 132, 182, 44, 94, 144, 194)(34, 84, 134, 184, 46, 96, 146, 196)(37, 87, 137, 187, 48, 98, 148, 198)(38, 88, 138, 188, 47, 97, 147, 197)(40, 90, 140, 190, 49, 99, 149, 199)(45, 95, 145, 195, 50, 100, 150, 200)
	L = (1, 52)(2, 55)(3, 51)(4, 59)(5, 61)(6, 63)(7, 53)(8, 64)(9, 62)(10, 54)(11, 70)(12, 72)(13, 71)(14, 56)(15, 57)(16, 60)(17, 58)(18, 79)(19, 80)(20, 82)(21, 84)(22, 83)(23, 86)(24, 87)(25, 65)(26, 67)(27, 66)(28, 88)(29, 85)(30, 68)(31, 69)(32, 75)(33, 95)(34, 94)(35, 97)(36, 96)(37, 73)(38, 74)(39, 77)(40, 76)(41, 81)(42, 78)(43, 99)(44, 90)(45, 89)(46, 93)(47, 100)(48, 91)(49, 92)(50, 98)(101, 153)(102, 151)(103, 157)(104, 160)(105, 152)(106, 164)(107, 165)(108, 167)(109, 154)(110, 166)(111, 155)(112, 159)(113, 156)(114, 158)(115, 175)(116, 177)(117, 176)(118, 180)(119, 181)(120, 161)(121, 163)(122, 162)(123, 187)(124, 188)(125, 182)(126, 190)(127, 189)(128, 192)(129, 168)(130, 169)(131, 191)(132, 170)(133, 172)(134, 171)(135, 179)(136, 173)(137, 174)(138, 178)(139, 195)(140, 194)(141, 198)(142, 199)(143, 196)(144, 184)(145, 183)(146, 186)(147, 185)(148, 200)(149, 193)(150, 197)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E21.1534
Transitivity :: VT+
Graph::
	v = 25 e = 100 f = 35
	degree seq :: [ 8^25 ]

E21.1537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 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, 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, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2 * Y1)^5, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 51, 2, 52)(3, 53, 7, 57)(4, 54, 9, 59)(5, 55, 11, 61)(6, 56, 13, 63)(8, 58, 12, 62)(10, 60, 14, 64)(15, 65, 25, 75)(16, 66, 27, 77)(17, 67, 26, 76)(18, 68, 29, 79)(19, 69, 30, 80)(20, 70, 32, 82)(21, 71, 34, 84)(22, 72, 33, 83)(23, 73, 36, 86)(24, 74, 37, 87)(28, 78, 35, 85)(31, 81, 38, 88)(39, 89, 48, 98)(40, 90, 46, 96)(41, 91, 45, 95)(42, 92, 49, 99)(43, 93, 44, 94)(47, 97, 50, 100)(101, 151, 103, 153, 108, 158, 117, 167, 128, 178, 142, 192, 131, 181, 119, 169, 110, 160, 104, 154)(102, 152, 105, 155, 112, 162, 122, 172, 135, 185, 147, 197, 138, 188, 124, 174, 114, 164, 106, 156)(107, 157, 115, 165, 126, 176, 140, 190, 149, 199, 143, 193, 130, 180, 118, 168, 109, 159, 116, 166)(111, 161, 120, 170, 133, 183, 145, 195, 150, 200, 148, 198, 137, 187, 123, 173, 113, 163, 121, 171)(125, 175, 136, 186, 146, 196, 134, 184, 144, 194, 132, 182, 129, 179, 141, 191, 127, 177, 139, 189)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 30 e = 100 f = 30
	degree seq :: [ 4^25, 20^5 ]

E21.1538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 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 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^5, Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2, Y3^-1 * Y1 * Y2^5 ]
Map:: non-degenerate
	R = (1, 51, 2, 52)(3, 53, 11, 61)(4, 54, 10, 60)(5, 55, 17, 67)(6, 56, 8, 58)(7, 57, 21, 71)(9, 59, 27, 77)(12, 62, 22, 72)(13, 63, 32, 82)(14, 64, 24, 74)(15, 65, 30, 80)(16, 66, 26, 76)(18, 68, 39, 89)(19, 69, 29, 79)(20, 70, 25, 75)(23, 73, 36, 86)(28, 78, 40, 90)(31, 81, 47, 97)(33, 83, 41, 91)(34, 84, 44, 94)(35, 85, 42, 92)(37, 87, 46, 96)(38, 88, 49, 99)(43, 93, 48, 98)(45, 95, 50, 100)(101, 151, 103, 153, 112, 162, 133, 183, 126, 176, 108, 158, 124, 174, 142, 192, 119, 169, 105, 155)(102, 152, 107, 157, 122, 172, 137, 187, 116, 166, 104, 154, 114, 164, 134, 184, 129, 179, 109, 159)(106, 156, 113, 163, 135, 185, 138, 188, 117, 167, 125, 175, 111, 161, 131, 181, 141, 191, 118, 168)(110, 160, 123, 173, 144, 194, 145, 195, 127, 177, 115, 165, 121, 171, 143, 193, 146, 196, 128, 178)(120, 170, 136, 186, 147, 197, 150, 200, 139, 189, 130, 180, 132, 182, 148, 198, 149, 199, 140, 190)
	L = (1, 104)(2, 108)(3, 113)(4, 115)(5, 118)(6, 101)(7, 123)(8, 125)(9, 128)(10, 102)(11, 124)(12, 134)(13, 136)(14, 103)(15, 120)(16, 105)(17, 126)(18, 140)(19, 137)(20, 106)(21, 114)(22, 142)(23, 132)(24, 107)(25, 130)(26, 109)(27, 116)(28, 139)(29, 133)(30, 110)(31, 148)(32, 111)(33, 138)(34, 143)(35, 112)(36, 121)(37, 145)(38, 150)(39, 117)(40, 127)(41, 119)(42, 131)(43, 147)(44, 122)(45, 149)(46, 129)(47, 135)(48, 144)(49, 141)(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, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 30 e = 100 f = 30
	degree seq :: [ 4^25, 20^5 ]

E21.1539 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y2^7, Y1^2 * Y2^-1 * Y1^2 * Y2^-2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y1^2, Y2^2 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 57, 4, 60)(2, 58, 6, 62)(3, 59, 8, 64)(5, 61, 12, 68)(7, 63, 16, 72)(9, 65, 20, 76)(10, 66, 22, 78)(11, 67, 23, 79)(13, 69, 27, 83)(14, 70, 29, 85)(15, 71, 30, 86)(17, 73, 34, 90)(18, 74, 36, 92)(19, 75, 38, 94)(21, 77, 41, 97)(24, 80, 45, 101)(25, 81, 46, 102)(26, 82, 37, 93)(28, 84, 31, 87)(32, 88, 40, 96)(33, 89, 51, 107)(35, 91, 43, 99)(39, 95, 53, 109)(42, 98, 55, 111)(44, 100, 47, 103)(48, 104, 52, 108)(49, 105, 54, 110)(50, 106, 56, 112)(113, 114, 117, 123, 127, 119, 115)(116, 121, 131, 149, 152, 133, 122)(118, 125, 138, 159, 148, 140, 126)(120, 129, 145, 150, 164, 147, 130)(124, 136, 156, 154, 134, 146, 137)(128, 143, 162, 163, 165, 157, 144)(132, 151, 135, 155, 167, 161, 141)(139, 160, 142, 153, 166, 168, 158)(169, 171, 175, 183, 179, 173, 170)(172, 178, 189, 208, 205, 187, 177)(174, 182, 196, 204, 215, 194, 181)(176, 186, 203, 220, 206, 201, 185)(180, 193, 202, 190, 210, 212, 192)(184, 200, 213, 221, 219, 218, 199)(188, 197, 217, 223, 211, 191, 207)(195, 214, 224, 222, 209, 198, 216)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1547
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1540 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y1^2 * Y2^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^7, Y2^7, Y2 * Y1^-1 * Y2^2 * Y1^-3, Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2^2 * Y3 * Y2^-3, Y1 * Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 57, 4, 60)(2, 58, 6, 62)(3, 59, 8, 64)(5, 61, 12, 68)(7, 63, 16, 72)(9, 65, 20, 76)(10, 66, 22, 78)(11, 67, 23, 79)(13, 69, 27, 83)(14, 70, 29, 85)(15, 71, 30, 86)(17, 73, 34, 90)(18, 74, 36, 92)(19, 75, 38, 94)(21, 77, 41, 97)(24, 80, 37, 93)(25, 81, 33, 89)(26, 82, 47, 103)(28, 84, 49, 105)(31, 87, 50, 106)(32, 88, 44, 100)(35, 91, 40, 96)(39, 95, 54, 110)(42, 98, 55, 111)(43, 99, 46, 102)(45, 101, 56, 112)(48, 104, 51, 107)(52, 108, 53, 109)(113, 114, 117, 123, 127, 119, 115)(116, 121, 131, 149, 152, 133, 122)(118, 125, 138, 158, 153, 140, 126)(120, 129, 145, 139, 160, 147, 130)(124, 136, 156, 167, 161, 157, 137)(128, 143, 141, 132, 151, 163, 144)(134, 146, 164, 166, 159, 142, 154)(135, 155, 148, 162, 168, 165, 150)(169, 171, 175, 183, 179, 173, 170)(172, 178, 189, 208, 205, 187, 177)(174, 182, 196, 209, 214, 194, 181)(176, 186, 203, 216, 195, 201, 185)(180, 193, 213, 217, 223, 212, 192)(184, 200, 219, 207, 188, 197, 199)(190, 210, 198, 215, 222, 220, 202)(191, 206, 221, 224, 218, 204, 211)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1546
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1541 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-2 * Y2^-1 * Y1, Y1^-1 * Y2^-2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3 * Y1 * Y2^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^7, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1^2 * Y2^-2 * Y1 * Y2^-1 * Y1, Y1^7, Y1^2 * Y2^-1 * Y1 * Y2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 57, 4, 60)(2, 58, 9, 65)(3, 59, 13, 69)(5, 61, 20, 76)(6, 62, 23, 79)(7, 63, 22, 78)(8, 64, 29, 85)(10, 66, 24, 80)(11, 67, 36, 92)(12, 68, 38, 94)(14, 70, 44, 100)(15, 71, 26, 82)(16, 72, 28, 84)(17, 73, 30, 86)(18, 74, 47, 103)(19, 75, 41, 97)(21, 77, 42, 98)(25, 81, 34, 90)(27, 83, 35, 91)(31, 87, 48, 104)(32, 88, 40, 96)(33, 89, 46, 102)(37, 93, 52, 108)(39, 95, 51, 107)(43, 99, 50, 106)(45, 101, 49, 105)(53, 109, 55, 111)(54, 110, 56, 112)(113, 114, 119, 137, 164, 133, 117)(115, 123, 121, 143, 166, 157, 126)(116, 127, 145, 168, 162, 131, 129)(118, 134, 165, 161, 150, 142, 120)(122, 146, 151, 124, 128, 148, 138)(125, 152, 159, 136, 167, 155, 154)(130, 158, 147, 163, 156, 132, 141)(135, 160, 139, 149, 153, 140, 144)(169, 171, 180, 205, 224, 192, 174)(170, 176, 196, 210, 213, 203, 178)(172, 184, 182, 211, 193, 216, 186)(173, 187, 217, 202, 214, 191, 179)(175, 194, 208, 188, 206, 218, 195)(177, 200, 198, 212, 220, 223, 201)(181, 209, 207, 221, 199, 183, 197)(185, 189, 219, 222, 190, 215, 204)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1549
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1542 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-2 * Y3 * Y1^-2, Y1 * Y2^-1 * Y1^-2 * Y3, Y2^7, Y1^7, Y1^2 * Y2^-1 * Y1 * Y2^-3, Y1^2 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 57, 4, 60)(2, 58, 9, 65)(3, 59, 13, 69)(5, 61, 20, 76)(6, 62, 23, 79)(7, 63, 24, 80)(8, 64, 27, 83)(10, 66, 22, 78)(11, 67, 33, 89)(12, 68, 19, 75)(14, 70, 21, 77)(15, 71, 40, 96)(16, 72, 41, 97)(17, 73, 42, 98)(18, 74, 43, 99)(25, 81, 32, 88)(26, 82, 31, 87)(28, 84, 53, 109)(29, 85, 56, 112)(30, 86, 52, 108)(34, 90, 38, 94)(35, 91, 39, 95)(36, 92, 46, 102)(37, 93, 47, 103)(44, 100, 48, 104)(45, 101, 49, 105)(50, 106, 55, 111)(51, 107, 54, 110)(113, 114, 119, 137, 161, 133, 117)(115, 123, 135, 164, 163, 151, 126)(116, 127, 122, 143, 147, 124, 129)(118, 134, 162, 156, 159, 132, 120)(121, 140, 138, 146, 149, 125, 141)(128, 145, 155, 165, 167, 157, 131)(130, 136, 166, 150, 148, 154, 139)(142, 144, 160, 158, 153, 168, 152)(169, 171, 180, 202, 223, 192, 174)(170, 176, 181, 204, 207, 200, 178)(172, 184, 189, 216, 219, 190, 186)(173, 187, 212, 199, 198, 177, 179)(175, 183, 195, 209, 215, 213, 194)(182, 206, 193, 196, 208, 201, 185)(188, 214, 217, 222, 221, 191, 197)(203, 218, 220, 211, 224, 210, 205)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1548
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1543 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2 * Y3, Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y3, Y1^7, Y1^3 * Y2^-2 * Y1 * Y2^-1, Y1^2 * Y2^-1 * Y1 * Y2^-3, Y2^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 4, 60)(2, 58, 6, 62)(3, 59, 11, 67)(5, 61, 16, 72)(7, 63, 9, 65)(8, 64, 24, 80)(10, 66, 29, 85)(12, 68, 34, 90)(13, 69, 14, 70)(15, 71, 41, 97)(17, 73, 44, 100)(18, 74, 19, 75)(20, 76, 22, 78)(21, 77, 47, 103)(23, 79, 52, 108)(25, 81, 53, 109)(26, 82, 27, 83)(28, 84, 42, 98)(30, 86, 40, 96)(31, 87, 32, 88)(33, 89, 45, 101)(35, 91, 43, 99)(36, 92, 37, 93)(38, 94, 39, 95)(46, 102, 48, 104)(49, 105, 50, 106)(51, 107, 56, 112)(54, 110, 55, 111)(113, 114, 119, 132, 157, 129, 117)(115, 116, 125, 148, 160, 147, 124)(118, 130, 158, 152, 153, 137, 120)(121, 138, 142, 122, 123, 143, 133)(126, 150, 134, 140, 141, 135, 136)(127, 128, 144, 166, 149, 162, 154)(131, 161, 145, 146, 164, 163, 159)(139, 155, 156, 165, 168, 167, 151)(169, 171, 178, 196, 218, 187, 174)(170, 176, 191, 202, 203, 195, 177)(172, 173, 183, 208, 194, 207, 182)(175, 189, 219, 221, 209, 210, 190)(179, 180, 201, 188, 206, 223, 200)(181, 192, 193, 212, 213, 217, 205)(184, 185, 211, 216, 186, 215, 199)(197, 198, 214, 204, 222, 224, 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) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1551
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1544 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3, Y1^-1 * Y2^-2 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y2 * Y1, Y1^7, Y1 * Y2^-1 * Y1^2 * Y2^-3, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^2, Y2^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 4, 60)(2, 58, 9, 65)(3, 59, 13, 69)(5, 61, 20, 76)(6, 62, 23, 79)(7, 63, 22, 78)(8, 64, 27, 83)(10, 66, 24, 80)(11, 67, 33, 89)(12, 68, 21, 77)(14, 70, 19, 75)(15, 71, 40, 96)(16, 72, 41, 97)(17, 73, 42, 98)(18, 74, 43, 99)(25, 81, 31, 87)(26, 82, 32, 88)(28, 84, 52, 108)(29, 85, 56, 112)(30, 86, 53, 109)(34, 90, 39, 95)(35, 91, 38, 94)(36, 92, 47, 103)(37, 93, 46, 102)(44, 100, 49, 105)(45, 101, 48, 104)(50, 106, 54, 110)(51, 107, 55, 111)(113, 114, 119, 137, 161, 133, 117)(115, 123, 121, 140, 144, 151, 126)(116, 127, 136, 166, 157, 131, 129)(118, 134, 162, 150, 149, 125, 120)(122, 143, 146, 148, 153, 139, 130)(124, 128, 145, 152, 165, 163, 147)(132, 141, 135, 164, 167, 160, 159)(138, 156, 158, 154, 168, 155, 142)(169, 171, 180, 202, 223, 192, 174)(170, 176, 188, 214, 213, 200, 178)(172, 184, 182, 206, 194, 175, 186)(173, 187, 212, 218, 221, 191, 179)(177, 197, 181, 204, 203, 193, 198)(183, 195, 210, 215, 217, 219, 190)(185, 189, 216, 199, 196, 211, 201)(205, 207, 222, 220, 208, 224, 209)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1550
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1545 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 7})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^2 * Y2 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2^2 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^7, Y1^3 * Y2^-1 * Y1 * Y2^-2, Y1^2 * Y2^-3 * Y1 * Y2^-1, Y1^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 4, 60)(2, 58, 9, 65)(3, 59, 13, 69)(5, 61, 20, 76)(6, 62, 23, 79)(7, 63, 26, 82)(8, 64, 28, 84)(10, 66, 34, 90)(11, 67, 31, 87)(12, 68, 19, 75)(14, 70, 21, 77)(15, 71, 36, 92)(16, 72, 38, 94)(17, 73, 47, 103)(18, 74, 37, 93)(22, 78, 29, 85)(24, 80, 32, 88)(25, 81, 56, 112)(27, 83, 55, 111)(30, 86, 41, 97)(33, 89, 54, 110)(35, 91, 53, 109)(39, 95, 44, 100)(40, 96, 45, 101)(42, 98, 48, 104)(43, 99, 46, 102)(49, 105, 51, 107)(50, 106, 52, 108)(113, 114, 119, 137, 164, 133, 117)(115, 123, 148, 144, 147, 157, 126)(116, 127, 122, 145, 151, 160, 129)(118, 134, 165, 156, 158, 132, 120)(121, 141, 139, 161, 154, 128, 143)(124, 150, 142, 135, 138, 166, 152)(125, 153, 149, 146, 168, 163, 155)(130, 136, 167, 162, 131, 159, 140)(169, 171, 180, 207, 224, 192, 174)(170, 176, 181, 210, 218, 203, 178)(172, 184, 211, 220, 222, 190, 186)(173, 187, 217, 221, 194, 205, 179)(175, 183, 196, 206, 182, 212, 195)(177, 198, 215, 189, 219, 201, 200)(185, 214, 213, 223, 202, 191, 199)(188, 216, 208, 193, 197, 204, 209)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8^4 ), ( 8^7 ) }
Outer automorphisms :: reflexible
Dual of E21.1552
Graph:: simple bipartite
	v = 44 e = 112 f = 28
	degree seq :: [ 4^28, 7^16 ]

E21.1546 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y2^7, Y1^2 * Y2^-1 * Y1^2 * Y2^-2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y1^2, Y2^2 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 6, 62, 118, 174)(3, 59, 115, 171, 8, 64, 120, 176)(5, 61, 117, 173, 12, 68, 124, 180)(7, 63, 119, 175, 16, 72, 128, 184)(9, 65, 121, 177, 20, 76, 132, 188)(10, 66, 122, 178, 22, 78, 134, 190)(11, 67, 123, 179, 23, 79, 135, 191)(13, 69, 125, 181, 27, 83, 139, 195)(14, 70, 126, 182, 29, 85, 141, 197)(15, 71, 127, 183, 30, 86, 142, 198)(17, 73, 129, 185, 34, 90, 146, 202)(18, 74, 130, 186, 36, 92, 148, 204)(19, 75, 131, 187, 38, 94, 150, 206)(21, 77, 133, 189, 41, 97, 153, 209)(24, 80, 136, 192, 45, 101, 157, 213)(25, 81, 137, 193, 46, 102, 158, 214)(26, 82, 138, 194, 37, 93, 149, 205)(28, 84, 140, 196, 31, 87, 143, 199)(32, 88, 144, 200, 40, 96, 152, 208)(33, 89, 145, 201, 51, 107, 163, 219)(35, 91, 147, 203, 43, 99, 155, 211)(39, 95, 151, 207, 53, 109, 165, 221)(42, 98, 154, 210, 55, 111, 167, 223)(44, 100, 156, 212, 47, 103, 159, 215)(48, 104, 160, 216, 52, 108, 164, 220)(49, 105, 161, 217, 54, 110, 166, 222)(50, 106, 162, 218, 56, 112, 168, 224)
	L = (1, 58)(2, 61)(3, 57)(4, 65)(5, 67)(6, 69)(7, 59)(8, 73)(9, 75)(10, 60)(11, 71)(12, 80)(13, 82)(14, 62)(15, 63)(16, 87)(17, 89)(18, 64)(19, 93)(20, 95)(21, 66)(22, 90)(23, 99)(24, 100)(25, 68)(26, 103)(27, 104)(28, 70)(29, 76)(30, 97)(31, 106)(32, 72)(33, 94)(34, 81)(35, 74)(36, 84)(37, 96)(38, 108)(39, 79)(40, 77)(41, 110)(42, 78)(43, 111)(44, 98)(45, 88)(46, 83)(47, 92)(48, 86)(49, 85)(50, 107)(51, 109)(52, 91)(53, 101)(54, 112)(55, 105)(56, 102)(113, 171)(114, 169)(115, 175)(116, 178)(117, 170)(118, 182)(119, 183)(120, 186)(121, 172)(122, 189)(123, 173)(124, 193)(125, 174)(126, 196)(127, 179)(128, 200)(129, 176)(130, 203)(131, 177)(132, 197)(133, 208)(134, 210)(135, 207)(136, 180)(137, 202)(138, 181)(139, 214)(140, 204)(141, 217)(142, 216)(143, 184)(144, 213)(145, 185)(146, 190)(147, 220)(148, 215)(149, 187)(150, 201)(151, 188)(152, 205)(153, 198)(154, 212)(155, 191)(156, 192)(157, 221)(158, 224)(159, 194)(160, 195)(161, 223)(162, 199)(163, 218)(164, 206)(165, 219)(166, 209)(167, 211)(168, 222)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1540
Transitivity :: VT+
Graph::
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1547 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y1^2 * Y2^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^7, Y2^7, Y2 * Y1^-1 * Y2^2 * Y1^-3, Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2^2 * Y3 * Y2^-3, Y1 * Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 6, 62, 118, 174)(3, 59, 115, 171, 8, 64, 120, 176)(5, 61, 117, 173, 12, 68, 124, 180)(7, 63, 119, 175, 16, 72, 128, 184)(9, 65, 121, 177, 20, 76, 132, 188)(10, 66, 122, 178, 22, 78, 134, 190)(11, 67, 123, 179, 23, 79, 135, 191)(13, 69, 125, 181, 27, 83, 139, 195)(14, 70, 126, 182, 29, 85, 141, 197)(15, 71, 127, 183, 30, 86, 142, 198)(17, 73, 129, 185, 34, 90, 146, 202)(18, 74, 130, 186, 36, 92, 148, 204)(19, 75, 131, 187, 38, 94, 150, 206)(21, 77, 133, 189, 41, 97, 153, 209)(24, 80, 136, 192, 37, 93, 149, 205)(25, 81, 137, 193, 33, 89, 145, 201)(26, 82, 138, 194, 47, 103, 159, 215)(28, 84, 140, 196, 49, 105, 161, 217)(31, 87, 143, 199, 50, 106, 162, 218)(32, 88, 144, 200, 44, 100, 156, 212)(35, 91, 147, 203, 40, 96, 152, 208)(39, 95, 151, 207, 54, 110, 166, 222)(42, 98, 154, 210, 55, 111, 167, 223)(43, 99, 155, 211, 46, 102, 158, 214)(45, 101, 157, 213, 56, 112, 168, 224)(48, 104, 160, 216, 51, 107, 163, 219)(52, 108, 164, 220, 53, 109, 165, 221)
	L = (1, 58)(2, 61)(3, 57)(4, 65)(5, 67)(6, 69)(7, 59)(8, 73)(9, 75)(10, 60)(11, 71)(12, 80)(13, 82)(14, 62)(15, 63)(16, 87)(17, 89)(18, 64)(19, 93)(20, 95)(21, 66)(22, 90)(23, 99)(24, 100)(25, 68)(26, 102)(27, 104)(28, 70)(29, 76)(30, 98)(31, 85)(32, 72)(33, 83)(34, 108)(35, 74)(36, 106)(37, 96)(38, 79)(39, 107)(40, 77)(41, 84)(42, 78)(43, 92)(44, 111)(45, 81)(46, 97)(47, 86)(48, 91)(49, 101)(50, 112)(51, 88)(52, 110)(53, 94)(54, 103)(55, 105)(56, 109)(113, 171)(114, 169)(115, 175)(116, 178)(117, 170)(118, 182)(119, 183)(120, 186)(121, 172)(122, 189)(123, 173)(124, 193)(125, 174)(126, 196)(127, 179)(128, 200)(129, 176)(130, 203)(131, 177)(132, 197)(133, 208)(134, 210)(135, 206)(136, 180)(137, 213)(138, 181)(139, 201)(140, 209)(141, 199)(142, 215)(143, 184)(144, 219)(145, 185)(146, 190)(147, 216)(148, 211)(149, 187)(150, 221)(151, 188)(152, 205)(153, 214)(154, 198)(155, 191)(156, 192)(157, 217)(158, 194)(159, 222)(160, 195)(161, 223)(162, 204)(163, 207)(164, 202)(165, 224)(166, 220)(167, 212)(168, 218)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1539
Transitivity :: VT+
Graph::
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1548 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-2 * Y2^-1 * Y1, Y1^-1 * Y2^-2 * Y3 * Y2, Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3, Y3 * Y1 * Y3 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3 * Y1 * Y2^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y2^7, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2^-1, Y1^2 * Y2^-2 * Y1 * Y2^-1 * Y1, Y1^7, Y1^2 * Y2^-1 * Y1 * Y2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 9, 65, 121, 177)(3, 59, 115, 171, 13, 69, 125, 181)(5, 61, 117, 173, 20, 76, 132, 188)(6, 62, 118, 174, 23, 79, 135, 191)(7, 63, 119, 175, 22, 78, 134, 190)(8, 64, 120, 176, 29, 85, 141, 197)(10, 66, 122, 178, 24, 80, 136, 192)(11, 67, 123, 179, 36, 92, 148, 204)(12, 68, 124, 180, 38, 94, 150, 206)(14, 70, 126, 182, 44, 100, 156, 212)(15, 71, 127, 183, 26, 82, 138, 194)(16, 72, 128, 184, 28, 84, 140, 196)(17, 73, 129, 185, 30, 86, 142, 198)(18, 74, 130, 186, 47, 103, 159, 215)(19, 75, 131, 187, 41, 97, 153, 209)(21, 77, 133, 189, 42, 98, 154, 210)(25, 81, 137, 193, 34, 90, 146, 202)(27, 83, 139, 195, 35, 91, 147, 203)(31, 87, 143, 199, 48, 104, 160, 216)(32, 88, 144, 200, 40, 96, 152, 208)(33, 89, 145, 201, 46, 102, 158, 214)(37, 93, 149, 205, 52, 108, 164, 220)(39, 95, 151, 207, 51, 107, 163, 219)(43, 99, 155, 211, 50, 106, 162, 218)(45, 101, 157, 213, 49, 105, 161, 217)(53, 109, 165, 221, 55, 111, 167, 223)(54, 110, 166, 222, 56, 112, 168, 224)
	L = (1, 58)(2, 63)(3, 67)(4, 71)(5, 57)(6, 78)(7, 81)(8, 62)(9, 87)(10, 90)(11, 65)(12, 72)(13, 96)(14, 59)(15, 89)(16, 92)(17, 60)(18, 102)(19, 73)(20, 85)(21, 61)(22, 109)(23, 104)(24, 111)(25, 108)(26, 66)(27, 93)(28, 88)(29, 74)(30, 64)(31, 110)(32, 79)(33, 112)(34, 95)(35, 107)(36, 82)(37, 97)(38, 86)(39, 68)(40, 103)(41, 84)(42, 69)(43, 98)(44, 76)(45, 70)(46, 91)(47, 80)(48, 83)(49, 94)(50, 75)(51, 100)(52, 77)(53, 105)(54, 101)(55, 99)(56, 106)(113, 171)(114, 176)(115, 180)(116, 184)(117, 187)(118, 169)(119, 194)(120, 196)(121, 200)(122, 170)(123, 173)(124, 205)(125, 209)(126, 211)(127, 197)(128, 182)(129, 189)(130, 172)(131, 217)(132, 206)(133, 219)(134, 215)(135, 179)(136, 174)(137, 216)(138, 208)(139, 175)(140, 210)(141, 181)(142, 212)(143, 183)(144, 198)(145, 177)(146, 214)(147, 178)(148, 185)(149, 224)(150, 218)(151, 221)(152, 188)(153, 207)(154, 213)(155, 193)(156, 220)(157, 203)(158, 191)(159, 204)(160, 186)(161, 202)(162, 195)(163, 222)(164, 223)(165, 199)(166, 190)(167, 201)(168, 192)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1542
Transitivity :: VT+
Graph:: simple
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1549 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-2 * Y3 * Y1^-2, Y1 * Y2^-1 * Y1^-2 * Y3, Y2^7, Y1^7, Y1^2 * Y2^-1 * Y1 * Y2^-3, Y1^2 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 9, 65, 121, 177)(3, 59, 115, 171, 13, 69, 125, 181)(5, 61, 117, 173, 20, 76, 132, 188)(6, 62, 118, 174, 23, 79, 135, 191)(7, 63, 119, 175, 24, 80, 136, 192)(8, 64, 120, 176, 27, 83, 139, 195)(10, 66, 122, 178, 22, 78, 134, 190)(11, 67, 123, 179, 33, 89, 145, 201)(12, 68, 124, 180, 19, 75, 131, 187)(14, 70, 126, 182, 21, 77, 133, 189)(15, 71, 127, 183, 40, 96, 152, 208)(16, 72, 128, 184, 41, 97, 153, 209)(17, 73, 129, 185, 42, 98, 154, 210)(18, 74, 130, 186, 43, 99, 155, 211)(25, 81, 137, 193, 32, 88, 144, 200)(26, 82, 138, 194, 31, 87, 143, 199)(28, 84, 140, 196, 53, 109, 165, 221)(29, 85, 141, 197, 56, 112, 168, 224)(30, 86, 142, 198, 52, 108, 164, 220)(34, 90, 146, 202, 38, 94, 150, 206)(35, 91, 147, 203, 39, 95, 151, 207)(36, 92, 148, 204, 46, 102, 158, 214)(37, 93, 149, 205, 47, 103, 159, 215)(44, 100, 156, 212, 48, 104, 160, 216)(45, 101, 157, 213, 49, 105, 161, 217)(50, 106, 162, 218, 55, 111, 167, 223)(51, 107, 163, 219, 54, 110, 166, 222)
	L = (1, 58)(2, 63)(3, 67)(4, 71)(5, 57)(6, 78)(7, 81)(8, 62)(9, 84)(10, 87)(11, 79)(12, 73)(13, 85)(14, 59)(15, 66)(16, 89)(17, 60)(18, 80)(19, 72)(20, 64)(21, 61)(22, 106)(23, 108)(24, 110)(25, 105)(26, 90)(27, 74)(28, 82)(29, 65)(30, 88)(31, 91)(32, 104)(33, 99)(34, 93)(35, 68)(36, 98)(37, 69)(38, 92)(39, 70)(40, 86)(41, 112)(42, 83)(43, 109)(44, 103)(45, 75)(46, 97)(47, 76)(48, 102)(49, 77)(50, 100)(51, 95)(52, 107)(53, 111)(54, 94)(55, 101)(56, 96)(113, 171)(114, 176)(115, 180)(116, 184)(117, 187)(118, 169)(119, 183)(120, 181)(121, 179)(122, 170)(123, 173)(124, 202)(125, 204)(126, 206)(127, 195)(128, 189)(129, 182)(130, 172)(131, 212)(132, 214)(133, 216)(134, 186)(135, 197)(136, 174)(137, 196)(138, 175)(139, 209)(140, 208)(141, 188)(142, 177)(143, 198)(144, 178)(145, 185)(146, 223)(147, 218)(148, 207)(149, 203)(150, 193)(151, 200)(152, 201)(153, 215)(154, 205)(155, 224)(156, 199)(157, 194)(158, 217)(159, 213)(160, 219)(161, 222)(162, 220)(163, 190)(164, 211)(165, 191)(166, 221)(167, 192)(168, 210)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1541
Transitivity :: VT+
Graph:: simple
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1550 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2 * Y3, Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y3, Y1^7, Y1^3 * Y2^-2 * Y1 * Y2^-1, Y1^2 * Y2^-1 * Y1 * Y2^-3, Y2^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 6, 62, 118, 174)(3, 59, 115, 171, 11, 67, 123, 179)(5, 61, 117, 173, 16, 72, 128, 184)(7, 63, 119, 175, 9, 65, 121, 177)(8, 64, 120, 176, 24, 80, 136, 192)(10, 66, 122, 178, 29, 85, 141, 197)(12, 68, 124, 180, 34, 90, 146, 202)(13, 69, 125, 181, 14, 70, 126, 182)(15, 71, 127, 183, 41, 97, 153, 209)(17, 73, 129, 185, 44, 100, 156, 212)(18, 74, 130, 186, 19, 75, 131, 187)(20, 76, 132, 188, 22, 78, 134, 190)(21, 77, 133, 189, 47, 103, 159, 215)(23, 79, 135, 191, 52, 108, 164, 220)(25, 81, 137, 193, 53, 109, 165, 221)(26, 82, 138, 194, 27, 83, 139, 195)(28, 84, 140, 196, 42, 98, 154, 210)(30, 86, 142, 198, 40, 96, 152, 208)(31, 87, 143, 199, 32, 88, 144, 200)(33, 89, 145, 201, 45, 101, 157, 213)(35, 91, 147, 203, 43, 99, 155, 211)(36, 92, 148, 204, 37, 93, 149, 205)(38, 94, 150, 206, 39, 95, 151, 207)(46, 102, 158, 214, 48, 104, 160, 216)(49, 105, 161, 217, 50, 106, 162, 218)(51, 107, 163, 219, 56, 112, 168, 224)(54, 110, 166, 222, 55, 111, 167, 223)
	L = (1, 58)(2, 63)(3, 60)(4, 69)(5, 57)(6, 74)(7, 76)(8, 62)(9, 82)(10, 67)(11, 87)(12, 59)(13, 92)(14, 94)(15, 72)(16, 88)(17, 61)(18, 102)(19, 105)(20, 101)(21, 65)(22, 84)(23, 80)(24, 70)(25, 64)(26, 86)(27, 99)(28, 85)(29, 79)(30, 66)(31, 77)(32, 110)(33, 90)(34, 108)(35, 68)(36, 104)(37, 106)(38, 78)(39, 83)(40, 97)(41, 81)(42, 71)(43, 100)(44, 109)(45, 73)(46, 96)(47, 75)(48, 91)(49, 89)(50, 98)(51, 103)(52, 107)(53, 112)(54, 93)(55, 95)(56, 111)(113, 171)(114, 176)(115, 178)(116, 173)(117, 183)(118, 169)(119, 189)(120, 191)(121, 170)(122, 196)(123, 180)(124, 201)(125, 192)(126, 172)(127, 208)(128, 185)(129, 211)(130, 215)(131, 174)(132, 206)(133, 219)(134, 175)(135, 202)(136, 193)(137, 212)(138, 207)(139, 177)(140, 218)(141, 198)(142, 214)(143, 184)(144, 179)(145, 188)(146, 203)(147, 195)(148, 222)(149, 181)(150, 223)(151, 182)(152, 194)(153, 210)(154, 190)(155, 216)(156, 213)(157, 217)(158, 204)(159, 199)(160, 186)(161, 205)(162, 187)(163, 221)(164, 197)(165, 209)(166, 224)(167, 200)(168, 220)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1544
Transitivity :: VT+
Graph::
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1551 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y2 * Y3, Y1^-1 * Y2^-2 * Y3 * Y2, Y1 * Y3 * Y1^-1 * Y2 * Y1, Y1^7, Y1 * Y2^-1 * Y1^2 * Y2^-3, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^2, Y2^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 9, 65, 121, 177)(3, 59, 115, 171, 13, 69, 125, 181)(5, 61, 117, 173, 20, 76, 132, 188)(6, 62, 118, 174, 23, 79, 135, 191)(7, 63, 119, 175, 22, 78, 134, 190)(8, 64, 120, 176, 27, 83, 139, 195)(10, 66, 122, 178, 24, 80, 136, 192)(11, 67, 123, 179, 33, 89, 145, 201)(12, 68, 124, 180, 21, 77, 133, 189)(14, 70, 126, 182, 19, 75, 131, 187)(15, 71, 127, 183, 40, 96, 152, 208)(16, 72, 128, 184, 41, 97, 153, 209)(17, 73, 129, 185, 42, 98, 154, 210)(18, 74, 130, 186, 43, 99, 155, 211)(25, 81, 137, 193, 31, 87, 143, 199)(26, 82, 138, 194, 32, 88, 144, 200)(28, 84, 140, 196, 52, 108, 164, 220)(29, 85, 141, 197, 56, 112, 168, 224)(30, 86, 142, 198, 53, 109, 165, 221)(34, 90, 146, 202, 39, 95, 151, 207)(35, 91, 147, 203, 38, 94, 150, 206)(36, 92, 148, 204, 47, 103, 159, 215)(37, 93, 149, 205, 46, 102, 158, 214)(44, 100, 156, 212, 49, 105, 161, 217)(45, 101, 157, 213, 48, 104, 160, 216)(50, 106, 162, 218, 54, 110, 166, 222)(51, 107, 163, 219, 55, 111, 167, 223)
	L = (1, 58)(2, 63)(3, 67)(4, 71)(5, 57)(6, 78)(7, 81)(8, 62)(9, 84)(10, 87)(11, 65)(12, 72)(13, 64)(14, 59)(15, 80)(16, 89)(17, 60)(18, 66)(19, 73)(20, 85)(21, 61)(22, 106)(23, 108)(24, 110)(25, 105)(26, 100)(27, 74)(28, 88)(29, 79)(30, 82)(31, 90)(32, 95)(33, 96)(34, 92)(35, 68)(36, 97)(37, 69)(38, 93)(39, 70)(40, 109)(41, 83)(42, 112)(43, 86)(44, 102)(45, 75)(46, 98)(47, 76)(48, 103)(49, 77)(50, 94)(51, 91)(52, 111)(53, 107)(54, 101)(55, 104)(56, 99)(113, 171)(114, 176)(115, 180)(116, 184)(117, 187)(118, 169)(119, 186)(120, 188)(121, 197)(122, 170)(123, 173)(124, 202)(125, 204)(126, 206)(127, 195)(128, 182)(129, 189)(130, 172)(131, 212)(132, 214)(133, 216)(134, 183)(135, 179)(136, 174)(137, 198)(138, 175)(139, 210)(140, 211)(141, 181)(142, 177)(143, 196)(144, 178)(145, 185)(146, 223)(147, 193)(148, 203)(149, 207)(150, 194)(151, 222)(152, 224)(153, 205)(154, 215)(155, 201)(156, 218)(157, 200)(158, 213)(159, 217)(160, 199)(161, 219)(162, 221)(163, 190)(164, 208)(165, 191)(166, 220)(167, 192)(168, 209)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1543
Transitivity :: VT+
Graph:: simple
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1552 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 7})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^2 * Y2 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2^2 * Y1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^7, Y1^3 * Y2^-1 * Y1 * Y2^-2, Y1^2 * Y2^-3 * Y1 * Y2^-1, Y1^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 113, 169, 4, 60, 116, 172)(2, 58, 114, 170, 9, 65, 121, 177)(3, 59, 115, 171, 13, 69, 125, 181)(5, 61, 117, 173, 20, 76, 132, 188)(6, 62, 118, 174, 23, 79, 135, 191)(7, 63, 119, 175, 26, 82, 138, 194)(8, 64, 120, 176, 28, 84, 140, 196)(10, 66, 122, 178, 34, 90, 146, 202)(11, 67, 123, 179, 31, 87, 143, 199)(12, 68, 124, 180, 19, 75, 131, 187)(14, 70, 126, 182, 21, 77, 133, 189)(15, 71, 127, 183, 36, 92, 148, 204)(16, 72, 128, 184, 38, 94, 150, 206)(17, 73, 129, 185, 47, 103, 159, 215)(18, 74, 130, 186, 37, 93, 149, 205)(22, 78, 134, 190, 29, 85, 141, 197)(24, 80, 136, 192, 32, 88, 144, 200)(25, 81, 137, 193, 56, 112, 168, 224)(27, 83, 139, 195, 55, 111, 167, 223)(30, 86, 142, 198, 41, 97, 153, 209)(33, 89, 145, 201, 54, 110, 166, 222)(35, 91, 147, 203, 53, 109, 165, 221)(39, 95, 151, 207, 44, 100, 156, 212)(40, 96, 152, 208, 45, 101, 157, 213)(42, 98, 154, 210, 48, 104, 160, 216)(43, 99, 155, 211, 46, 102, 158, 214)(49, 105, 161, 217, 51, 107, 163, 219)(50, 106, 162, 218, 52, 108, 164, 220)
	L = (1, 58)(2, 63)(3, 67)(4, 71)(5, 57)(6, 78)(7, 81)(8, 62)(9, 85)(10, 89)(11, 92)(12, 94)(13, 97)(14, 59)(15, 66)(16, 87)(17, 60)(18, 80)(19, 103)(20, 64)(21, 61)(22, 109)(23, 82)(24, 111)(25, 108)(26, 110)(27, 105)(28, 74)(29, 83)(30, 79)(31, 65)(32, 91)(33, 95)(34, 112)(35, 101)(36, 88)(37, 90)(38, 86)(39, 104)(40, 68)(41, 93)(42, 72)(43, 69)(44, 102)(45, 70)(46, 76)(47, 84)(48, 73)(49, 98)(50, 75)(51, 99)(52, 77)(53, 100)(54, 96)(55, 106)(56, 107)(113, 171)(114, 176)(115, 180)(116, 184)(117, 187)(118, 169)(119, 183)(120, 181)(121, 198)(122, 170)(123, 173)(124, 207)(125, 210)(126, 212)(127, 196)(128, 211)(129, 214)(130, 172)(131, 217)(132, 216)(133, 219)(134, 186)(135, 199)(136, 174)(137, 197)(138, 205)(139, 175)(140, 206)(141, 204)(142, 215)(143, 185)(144, 177)(145, 200)(146, 191)(147, 178)(148, 209)(149, 179)(150, 182)(151, 224)(152, 193)(153, 188)(154, 218)(155, 220)(156, 195)(157, 223)(158, 213)(159, 189)(160, 208)(161, 221)(162, 203)(163, 201)(164, 222)(165, 194)(166, 190)(167, 202)(168, 192)
	local type(s) :: { ( 4, 7, 4, 7, 4, 7, 4, 7 ) }
Outer automorphisms :: reflexible
Dual of E21.1545
Transitivity :: VT+
Graph:: simple
	v = 28 e = 112 f = 44
	degree seq :: [ 8^28 ]

E21.1553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 6, 62)(4, 60, 9, 65)(5, 61, 10, 66)(7, 63, 11, 67)(8, 64, 12, 68)(13, 69, 17, 73)(14, 70, 18, 74)(15, 71, 19, 75)(16, 72, 20, 76)(21, 77, 25, 81)(22, 78, 26, 82)(23, 79, 27, 83)(24, 80, 28, 84)(29, 85, 33, 89)(30, 86, 34, 90)(31, 87, 35, 91)(32, 88, 36, 92)(37, 93, 41, 97)(38, 94, 42, 98)(39, 95, 43, 99)(40, 96, 44, 100)(45, 101, 49, 105)(46, 102, 50, 106)(47, 103, 51, 107)(48, 104, 52, 108)(53, 109, 55, 111)(54, 110, 56, 112)(113, 169, 115, 171)(114, 170, 118, 174)(116, 172, 117, 173)(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, 116)(2, 119)(3, 117)(4, 115)(5, 113)(6, 120)(7, 118)(8, 114)(9, 125)(10, 126)(11, 127)(12, 128)(13, 122)(14, 121)(15, 124)(16, 123)(17, 133)(18, 134)(19, 135)(20, 136)(21, 130)(22, 129)(23, 132)(24, 131)(25, 141)(26, 142)(27, 143)(28, 144)(29, 138)(30, 137)(31, 140)(32, 139)(33, 149)(34, 150)(35, 151)(36, 152)(37, 146)(38, 145)(39, 148)(40, 147)(41, 157)(42, 158)(43, 159)(44, 160)(45, 154)(46, 153)(47, 156)(48, 155)(49, 165)(50, 166)(51, 167)(52, 168)(53, 162)(54, 161)(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) :: { ( 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1562
Graph:: simple bipartite
	v = 56 e = 112 f = 16
	degree seq :: [ 4^56 ]

E21.1554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, Y2^-1 * Y1 * Y2 * Y1, Y3^7 ]
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, 24, 80)(15, 71, 23, 79)(16, 72, 22, 78)(17, 73, 21, 77)(25, 81, 34, 90)(26, 82, 33, 89)(27, 83, 36, 92)(28, 84, 35, 91)(29, 85, 40, 96)(30, 86, 39, 95)(31, 87, 38, 94)(32, 88, 37, 93)(41, 97, 48, 104)(42, 98, 47, 103)(43, 99, 50, 106)(44, 100, 49, 105)(45, 101, 52, 108)(46, 102, 51, 107)(53, 109, 56, 112)(54, 110, 55, 111)(113, 169, 115, 171, 123, 179, 117, 173)(114, 170, 119, 175, 130, 186, 121, 177)(116, 172, 124, 180, 137, 193, 127, 183)(118, 174, 125, 181, 138, 194, 128, 184)(120, 176, 131, 187, 145, 201, 134, 190)(122, 178, 132, 188, 146, 202, 135, 191)(126, 182, 139, 195, 153, 209, 142, 198)(129, 185, 140, 196, 154, 210, 143, 199)(133, 189, 147, 203, 159, 215, 150, 206)(136, 192, 148, 204, 160, 216, 151, 207)(141, 197, 155, 211, 165, 221, 157, 213)(144, 200, 156, 212, 166, 222, 158, 214)(149, 205, 161, 217, 167, 223, 163, 219)(152, 208, 162, 218, 168, 224, 164, 220)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 137)(12, 139)(13, 115)(14, 141)(15, 142)(16, 117)(17, 118)(18, 145)(19, 147)(20, 119)(21, 149)(22, 150)(23, 121)(24, 122)(25, 153)(26, 123)(27, 155)(28, 125)(29, 144)(30, 157)(31, 128)(32, 129)(33, 159)(34, 130)(35, 161)(36, 132)(37, 152)(38, 163)(39, 135)(40, 136)(41, 165)(42, 138)(43, 156)(44, 140)(45, 158)(46, 143)(47, 167)(48, 146)(49, 162)(50, 148)(51, 164)(52, 151)(53, 166)(54, 154)(55, 168)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1560
Graph:: simple bipartite
	v = 42 e = 112 f = 30
	degree seq :: [ 4^28, 8^14 ]

E21.1555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^2 * Y3^-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, 24, 80)(15, 71, 23, 79)(16, 72, 22, 78)(17, 73, 21, 77)(25, 81, 34, 90)(26, 82, 33, 89)(27, 83, 36, 92)(28, 84, 35, 91)(29, 85, 40, 96)(30, 86, 39, 95)(31, 87, 38, 94)(32, 88, 37, 93)(41, 97, 50, 106)(42, 98, 49, 105)(43, 99, 52, 108)(44, 100, 51, 107)(45, 101, 56, 112)(46, 102, 55, 111)(47, 103, 54, 110)(48, 104, 53, 109)(113, 169, 115, 171, 123, 179, 117, 173)(114, 170, 119, 175, 130, 186, 121, 177)(116, 172, 124, 180, 137, 193, 127, 183)(118, 174, 125, 181, 138, 194, 128, 184)(120, 176, 131, 187, 145, 201, 134, 190)(122, 178, 132, 188, 146, 202, 135, 191)(126, 182, 139, 195, 153, 209, 142, 198)(129, 185, 140, 196, 154, 210, 143, 199)(133, 189, 147, 203, 161, 217, 150, 206)(136, 192, 148, 204, 162, 218, 151, 207)(141, 197, 155, 211, 160, 216, 158, 214)(144, 200, 156, 212, 157, 213, 159, 215)(149, 205, 163, 219, 168, 224, 166, 222)(152, 208, 164, 220, 165, 221, 167, 223)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 137)(12, 139)(13, 115)(14, 141)(15, 142)(16, 117)(17, 118)(18, 145)(19, 147)(20, 119)(21, 149)(22, 150)(23, 121)(24, 122)(25, 153)(26, 123)(27, 155)(28, 125)(29, 157)(30, 158)(31, 128)(32, 129)(33, 161)(34, 130)(35, 163)(36, 132)(37, 165)(38, 166)(39, 135)(40, 136)(41, 160)(42, 138)(43, 159)(44, 140)(45, 154)(46, 156)(47, 143)(48, 144)(49, 168)(50, 146)(51, 167)(52, 148)(53, 162)(54, 164)(55, 151)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1561
Graph:: simple bipartite
	v = 42 e = 112 f = 30
	degree seq :: [ 4^28, 8^14 ]

E21.1556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 5, 61)(4, 60, 6, 62)(7, 63, 10, 66)(8, 64, 9, 65)(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, 115, 171, 114, 170, 117, 173)(116, 172, 120, 176, 118, 174, 121, 177)(119, 175, 123, 179, 122, 178, 124, 180)(125, 181, 129, 185, 126, 182, 130, 186)(127, 183, 131, 187, 128, 184, 132, 188)(133, 189, 137, 193, 134, 190, 138, 194)(135, 191, 139, 195, 136, 192, 140, 196)(141, 197, 145, 201, 142, 198, 146, 202)(143, 199, 147, 203, 144, 200, 148, 204)(149, 205, 153, 209, 150, 206, 154, 210)(151, 207, 155, 211, 152, 208, 156, 212)(157, 213, 161, 217, 158, 214, 162, 218)(159, 215, 163, 219, 160, 216, 164, 220)(165, 221, 167, 223, 166, 222, 168, 224)
	L = (1, 116)(2, 118)(3, 119)(4, 113)(5, 122)(6, 114)(7, 115)(8, 125)(9, 126)(10, 117)(11, 127)(12, 128)(13, 120)(14, 121)(15, 123)(16, 124)(17, 133)(18, 134)(19, 135)(20, 136)(21, 129)(22, 130)(23, 131)(24, 132)(25, 141)(26, 142)(27, 143)(28, 144)(29, 137)(30, 138)(31, 139)(32, 140)(33, 149)(34, 150)(35, 151)(36, 152)(37, 145)(38, 146)(39, 147)(40, 148)(41, 157)(42, 158)(43, 159)(44, 160)(45, 153)(46, 154)(47, 155)(48, 156)(49, 165)(50, 166)(51, 167)(52, 168)(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) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1559
Graph:: bipartite
	v = 42 e = 112 f = 30
	degree seq :: [ 4^28, 8^14 ]

E21.1557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|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, Y2^-1 * R * Y1 * Y3 * R * Y2^-1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * 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 ]
Map:: non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 7, 63)(5, 61, 10, 66)(6, 62, 11, 67)(8, 64, 12, 68)(13, 69, 17, 73)(14, 70, 18, 74)(15, 71, 19, 75)(16, 72, 20, 76)(21, 77, 25, 81)(22, 78, 26, 82)(23, 79, 27, 83)(24, 80, 28, 84)(29, 85, 33, 89)(30, 86, 34, 90)(31, 87, 35, 91)(32, 88, 36, 92)(37, 93, 41, 97)(38, 94, 42, 98)(39, 95, 43, 99)(40, 96, 44, 100)(45, 101, 49, 105)(46, 102, 50, 106)(47, 103, 51, 107)(48, 104, 52, 108)(53, 109, 55, 111)(54, 110, 56, 112)(113, 169, 115, 171, 119, 175, 117, 173)(114, 170, 118, 174, 116, 172, 120, 176)(121, 177, 125, 181, 122, 178, 126, 182)(123, 179, 127, 183, 124, 180, 128, 184)(129, 185, 133, 189, 130, 186, 134, 190)(131, 187, 135, 191, 132, 188, 136, 192)(137, 193, 141, 197, 138, 194, 142, 198)(139, 195, 143, 199, 140, 196, 144, 200)(145, 201, 149, 205, 146, 202, 150, 206)(147, 203, 151, 207, 148, 204, 152, 208)(153, 209, 157, 213, 154, 210, 158, 214)(155, 211, 159, 215, 156, 212, 160, 216)(161, 217, 165, 221, 162, 218, 166, 222)(163, 219, 167, 223, 164, 220, 168, 224)
	L = (1, 116)(2, 119)(3, 122)(4, 113)(5, 121)(6, 124)(7, 114)(8, 123)(9, 117)(10, 115)(11, 120)(12, 118)(13, 130)(14, 129)(15, 132)(16, 131)(17, 126)(18, 125)(19, 128)(20, 127)(21, 138)(22, 137)(23, 140)(24, 139)(25, 134)(26, 133)(27, 136)(28, 135)(29, 146)(30, 145)(31, 148)(32, 147)(33, 142)(34, 141)(35, 144)(36, 143)(37, 154)(38, 153)(39, 156)(40, 155)(41, 150)(42, 149)(43, 152)(44, 151)(45, 162)(46, 161)(47, 164)(48, 163)(49, 158)(50, 157)(51, 160)(52, 159)(53, 168)(54, 167)(55, 166)(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) :: { ( 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1558
Graph:: bipartite
	v = 42 e = 112 f = 30
	degree seq :: [ 4^28, 8^14 ]

E21.1558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y1 * Y3 * Y1, Y1^14 * Y2, Y3 * Y1^7 * Y3 * Y1^-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, 20, 76, 28, 84, 36, 92, 44, 100, 52, 108, 55, 111, 50, 106, 41, 97, 34, 90, 25, 81, 18, 74, 8, 64, 9, 65, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 56, 112, 49, 105, 42, 98, 33, 89, 26, 82, 17, 73, 12, 68)(113, 169, 115, 171)(114, 170, 119, 175)(116, 172, 121, 177)(117, 173, 122, 178)(118, 174, 128, 184)(120, 176, 124, 180)(123, 179, 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, 124)(8, 114)(9, 115)(10, 123)(11, 122)(12, 119)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.1557
Graph:: bipartite
	v = 30 e = 112 f = 42
	degree seq :: [ 4^28, 56^2 ]

E21.1559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y3 * Y2 * Y1^14, Y1^-1 * Y3 * Y1^6 * Y2 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66, 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, 9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 54, 110, 47, 103, 38, 94, 31, 87, 22, 78, 15, 71, 7, 63, 4, 60, 11, 67, 19, 75, 27, 83, 35, 91, 43, 99, 51, 107, 55, 111, 46, 102, 39, 95, 30, 86, 23, 79, 14, 70, 8, 64)(113, 169, 115, 171)(114, 170, 119, 175)(116, 172, 122, 178)(117, 173, 123, 179)(118, 174, 126, 182)(120, 176, 128, 184)(121, 177, 130, 186)(124, 180, 129, 185)(125, 181, 134, 190)(127, 183, 136, 192)(131, 187, 138, 194)(132, 188, 139, 195)(133, 189, 142, 198)(135, 191, 144, 200)(137, 193, 146, 202)(140, 196, 145, 201)(141, 197, 150, 206)(143, 199, 152, 208)(147, 203, 154, 210)(148, 204, 155, 211)(149, 205, 158, 214)(151, 207, 160, 216)(153, 209, 162, 218)(156, 212, 161, 217)(157, 213, 166, 222)(159, 215, 168, 224)(163, 219, 165, 221)(164, 220, 167, 223)
	L = (1, 116)(2, 120)(3, 122)(4, 113)(5, 121)(6, 127)(7, 128)(8, 114)(9, 117)(10, 115)(11, 130)(12, 131)(13, 135)(14, 136)(15, 118)(16, 119)(17, 138)(18, 123)(19, 124)(20, 137)(21, 143)(22, 144)(23, 125)(24, 126)(25, 132)(26, 129)(27, 146)(28, 147)(29, 151)(30, 152)(31, 133)(32, 134)(33, 154)(34, 139)(35, 140)(36, 153)(37, 159)(38, 160)(39, 141)(40, 142)(41, 148)(42, 145)(43, 162)(44, 163)(45, 167)(46, 168)(47, 149)(48, 150)(49, 165)(50, 155)(51, 156)(52, 166)(53, 161)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.1556
Graph:: bipartite
	v = 30 e = 112 f = 42
	degree seq :: [ 4^28, 56^2 ]

E21.1560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y3^-7, Y1^4 * Y3^-3, Y3^14, Y3^21 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 21, 77, 37, 93, 52, 108, 42, 98, 19, 75, 6, 62, 10, 66, 24, 80, 38, 94, 15, 71, 29, 85, 49, 105, 34, 90, 20, 76, 30, 86, 40, 96, 16, 72, 4, 60, 9, 65, 23, 79, 45, 101, 43, 99, 41, 97, 18, 74, 5, 61)(3, 59, 11, 67, 31, 87, 53, 109, 51, 107, 26, 82, 48, 104, 35, 91, 14, 70, 32, 88, 54, 110, 44, 100, 27, 83, 8, 64, 25, 81, 17, 73, 36, 92, 55, 111, 46, 102, 33, 89, 12, 68, 28, 84, 50, 106, 39, 95, 56, 112, 47, 103, 22, 78, 13, 69)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 126, 182)(117, 173, 129, 185)(118, 174, 124, 180)(119, 175, 134, 190)(121, 177, 140, 196)(122, 178, 138, 194)(123, 179, 141, 197)(125, 181, 146, 202)(127, 183, 148, 204)(128, 184, 151, 207)(130, 186, 143, 199)(131, 187, 147, 203)(132, 188, 139, 195)(133, 189, 156, 212)(135, 191, 160, 216)(136, 192, 158, 214)(137, 193, 161, 217)(142, 198, 159, 215)(144, 200, 164, 220)(145, 201, 157, 213)(149, 205, 168, 224)(150, 206, 165, 221)(152, 208, 166, 222)(153, 209, 167, 223)(154, 210, 162, 218)(155, 211, 163, 219)
	L = (1, 116)(2, 121)(3, 124)(4, 127)(5, 128)(6, 113)(7, 135)(8, 138)(9, 141)(10, 114)(11, 140)(12, 139)(13, 145)(14, 115)(15, 149)(16, 150)(17, 147)(18, 152)(19, 117)(20, 118)(21, 157)(22, 158)(23, 161)(24, 119)(25, 160)(26, 159)(27, 163)(28, 120)(29, 164)(30, 122)(31, 162)(32, 123)(33, 156)(34, 131)(35, 125)(36, 126)(37, 155)(38, 133)(39, 129)(40, 136)(41, 142)(42, 130)(43, 132)(44, 165)(45, 146)(46, 166)(47, 167)(48, 134)(49, 154)(50, 137)(51, 168)(52, 153)(53, 151)(54, 143)(55, 144)(56, 148)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1554
Graph:: bipartite
	v = 30 e = 112 f = 42
	degree seq :: [ 4^28, 56^2 ]

E21.1561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y2 * Y1^-2)^2, Y3^-1 * Y1 * Y3^-4 * Y1, Y1^4 * Y3^-1 * Y1^2, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 21, 77, 40, 96, 16, 72, 4, 60, 9, 65, 23, 79, 45, 101, 43, 99, 38, 94, 15, 71, 29, 85, 49, 105, 34, 90, 20, 76, 30, 86, 37, 93, 52, 108, 42, 98, 19, 75, 6, 62, 10, 66, 24, 80, 41, 97, 18, 74, 5, 61)(3, 59, 11, 67, 31, 87, 53, 109, 46, 102, 33, 89, 12, 68, 28, 84, 50, 106, 39, 95, 56, 112, 44, 100, 27, 83, 8, 64, 25, 81, 17, 73, 36, 92, 55, 111, 51, 107, 26, 82, 48, 104, 35, 91, 14, 70, 32, 88, 54, 110, 47, 103, 22, 78, 13, 69)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 126, 182)(117, 173, 129, 185)(118, 174, 124, 180)(119, 175, 134, 190)(121, 177, 140, 196)(122, 178, 138, 194)(123, 179, 141, 197)(125, 181, 146, 202)(127, 183, 148, 204)(128, 184, 151, 207)(130, 186, 143, 199)(131, 187, 147, 203)(132, 188, 139, 195)(133, 189, 156, 212)(135, 191, 160, 216)(136, 192, 158, 214)(137, 193, 161, 217)(142, 198, 159, 215)(144, 200, 164, 220)(145, 201, 157, 213)(149, 205, 168, 224)(150, 206, 165, 221)(152, 208, 166, 222)(153, 209, 167, 223)(154, 210, 162, 218)(155, 211, 163, 219)
	L = (1, 116)(2, 121)(3, 124)(4, 127)(5, 128)(6, 113)(7, 135)(8, 138)(9, 141)(10, 114)(11, 140)(12, 139)(13, 145)(14, 115)(15, 149)(16, 150)(17, 147)(18, 152)(19, 117)(20, 118)(21, 157)(22, 158)(23, 161)(24, 119)(25, 160)(26, 159)(27, 163)(28, 120)(29, 164)(30, 122)(31, 162)(32, 123)(33, 156)(34, 131)(35, 125)(36, 126)(37, 136)(38, 142)(39, 129)(40, 155)(41, 133)(42, 130)(43, 132)(44, 167)(45, 146)(46, 168)(47, 165)(48, 134)(49, 154)(50, 137)(51, 166)(52, 153)(53, 151)(54, 143)(55, 144)(56, 148)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1555
Graph:: bipartite
	v = 30 e = 112 f = 42
	degree seq :: [ 4^28, 56^2 ]

E21.1562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 28})
Quotient :: dipole
Aut^+ = C4 x D14 (small group id <56, 4>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^4, (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6 * Y1^-1 * Y2^-8 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 6, 62, 4, 60)(3, 59, 9, 65, 13, 69, 8, 64)(5, 61, 11, 67, 14, 70, 7, 63)(10, 66, 16, 72, 21, 77, 17, 73)(12, 68, 15, 71, 22, 78, 19, 75)(18, 74, 25, 81, 29, 85, 24, 80)(20, 76, 27, 83, 30, 86, 23, 79)(26, 82, 32, 88, 37, 93, 33, 89)(28, 84, 31, 87, 38, 94, 35, 91)(34, 90, 41, 97, 45, 101, 40, 96)(36, 92, 43, 99, 46, 102, 39, 95)(42, 98, 48, 104, 53, 109, 49, 105)(44, 100, 47, 103, 54, 110, 51, 107)(50, 106, 55, 111, 52, 108, 56, 112)(113, 169, 115, 171, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 166, 222, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 118, 174, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 165, 221, 164, 220, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173)(114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 167, 223, 161, 217, 153, 209, 145, 201, 137, 193, 129, 185, 121, 177, 116, 172, 123, 179, 131, 187, 139, 195, 147, 203, 155, 211, 163, 219, 168, 224, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 123)(6, 116)(7, 117)(8, 115)(9, 125)(10, 128)(11, 126)(12, 127)(13, 120)(14, 119)(15, 134)(16, 133)(17, 122)(18, 137)(19, 124)(20, 139)(21, 129)(22, 131)(23, 132)(24, 130)(25, 141)(26, 144)(27, 142)(28, 143)(29, 136)(30, 135)(31, 150)(32, 149)(33, 138)(34, 153)(35, 140)(36, 155)(37, 145)(38, 147)(39, 148)(40, 146)(41, 157)(42, 160)(43, 158)(44, 159)(45, 152)(46, 151)(47, 166)(48, 165)(49, 154)(50, 167)(51, 156)(52, 168)(53, 161)(54, 163)(55, 164)(56, 162)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4^8 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1553
Graph:: bipartite
	v = 16 e = 112 f = 56
	degree seq :: [ 8^14, 56^2 ]

E21.1563 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1^-3 * Y2 * Y3 * Y1^-5, Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^-2 * Y3 * Y2 * Y1^3 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 70, 14, 82, 26, 98, 42, 90, 34, 76, 20, 66, 10, 73, 17, 85, 29, 101, 45, 96, 40, 106, 50, 112, 56, 108, 52, 92, 36, 105, 49, 94, 38, 79, 23, 68, 12, 74, 18, 86, 30, 102, 46, 97, 41, 81, 25, 69, 13, 61, 5, 57)(3, 65, 9, 75, 19, 89, 33, 100, 44, 84, 28, 72, 16, 64, 8, 60, 4, 67, 11, 78, 22, 93, 37, 109, 53, 111, 55, 104, 48, 88, 32, 80, 24, 95, 39, 103, 47, 87, 31, 77, 21, 91, 35, 107, 51, 110, 54, 99, 43, 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, 40)(25, 33)(26, 43)(28, 46)(29, 47)(32, 50)(34, 51)(36, 53)(37, 49)(39, 45)(41, 44)(42, 54)(48, 56)(52, 55)(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, 100)(83, 101)(86, 104)(87, 105)(89, 98)(91, 108)(94, 103)(96, 99)(97, 109)(102, 111)(106, 110)(107, 112)
	local type(s) :: { ( 8^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1564
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 56 f = 14
	degree seq :: [ 56^2 ]

E21.1564 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 28})
Quotient :: halfedge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, Y1^4, (Y2 * Y1)^2, (Y3 * Y2)^7, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 58, 2, 62, 6, 61, 5, 57)(3, 65, 9, 69, 13, 63, 7, 59)(4, 67, 11, 70, 14, 64, 8, 60)(10, 71, 15, 77, 21, 73, 17, 66)(12, 72, 16, 78, 22, 75, 19, 68)(18, 81, 25, 85, 29, 79, 23, 74)(20, 83, 27, 86, 30, 80, 24, 76)(26, 87, 31, 93, 37, 89, 33, 82)(28, 88, 32, 94, 38, 91, 35, 84)(34, 97, 41, 101, 45, 95, 39, 90)(36, 99, 43, 102, 46, 96, 40, 92)(42, 103, 47, 108, 52, 105, 49, 98)(44, 104, 48, 109, 53, 107, 51, 100)(50, 111, 55, 112, 56, 110, 54, 106)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 13)(8, 16)(10, 18)(11, 19)(14, 22)(15, 23)(17, 25)(20, 28)(21, 29)(24, 32)(26, 34)(27, 35)(30, 38)(31, 39)(33, 41)(36, 44)(37, 45)(40, 48)(42, 50)(43, 51)(46, 53)(47, 54)(49, 55)(52, 56)(57, 60)(58, 64)(59, 66)(61, 67)(62, 70)(63, 71)(65, 73)(68, 76)(69, 77)(72, 80)(74, 82)(75, 83)(78, 86)(79, 87)(81, 89)(84, 92)(85, 93)(88, 96)(90, 98)(91, 99)(94, 102)(95, 103)(97, 105)(100, 106)(101, 108)(104, 110)(107, 111)(109, 112)
	local type(s) :: { ( 56^8 ) }
Outer automorphisms :: reflexible
Dual of E21.1563
Transitivity :: VT+ AT
Graph:: bipartite
	v = 14 e = 56 f = 2
	degree seq :: [ 8^14 ]

E21.1565 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3 * Y1)^2, (Y2 * Y1)^7, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 5, 61)(2, 58, 7, 63, 16, 72, 8, 64)(3, 59, 10, 66, 20, 76, 11, 67)(6, 62, 14, 70, 24, 80, 15, 71)(9, 65, 18, 74, 28, 84, 19, 75)(13, 69, 22, 78, 32, 88, 23, 79)(17, 73, 26, 82, 36, 92, 27, 83)(21, 77, 30, 86, 40, 96, 31, 87)(25, 81, 34, 90, 44, 100, 35, 91)(29, 85, 38, 94, 48, 104, 39, 95)(33, 89, 42, 98, 51, 107, 43, 99)(37, 93, 46, 102, 54, 110, 47, 103)(41, 97, 49, 105, 55, 111, 50, 106)(45, 101, 52, 108, 56, 112, 53, 109)(113, 114)(115, 121)(116, 120)(117, 119)(118, 125)(122, 131)(123, 130)(124, 128)(126, 135)(127, 134)(129, 137)(132, 140)(133, 141)(136, 144)(138, 147)(139, 146)(142, 151)(143, 150)(145, 153)(148, 156)(149, 157)(152, 160)(154, 162)(155, 161)(158, 165)(159, 164)(163, 167)(166, 168)(169, 171)(170, 174)(172, 179)(173, 178)(175, 183)(176, 182)(177, 185)(180, 188)(181, 189)(184, 192)(186, 195)(187, 194)(190, 199)(191, 198)(193, 201)(196, 204)(197, 205)(200, 208)(202, 211)(203, 210)(206, 215)(207, 214)(209, 213)(212, 219)(216, 222)(217, 221)(218, 220)(223, 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 ), ( 112^8 ) }
Outer automorphisms :: reflexible
Dual of E21.1568
Graph:: simple bipartite
	v = 70 e = 112 f = 2
	degree seq :: [ 2^56, 8^14 ]

E21.1566 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 28})
Quotient :: edge^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^-8 * Y2 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 4, 60, 12, 68, 24, 80, 40, 96, 53, 109, 37, 93, 21, 77, 9, 65, 20, 76, 36, 92, 44, 100, 26, 82, 43, 99, 55, 111, 51, 107, 33, 89, 48, 104, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 47, 103, 41, 97, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 49, 105, 56, 112, 46, 102, 28, 84, 14, 70, 27, 83, 45, 101, 35, 91, 19, 75, 34, 90, 52, 108, 54, 110, 42, 98, 39, 95, 23, 79, 11, 67, 3, 59, 10, 66, 22, 78, 38, 94, 50, 106, 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, 145)(134, 149)(135, 148)(136, 144)(137, 143)(138, 154)(141, 158)(142, 157)(146, 163)(147, 160)(150, 165)(151, 156)(152, 162)(153, 161)(155, 166)(159, 168)(164, 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, 203)(189, 202)(192, 207)(193, 206)(195, 212)(196, 211)(199, 216)(200, 215)(201, 217)(204, 213)(205, 220)(208, 210)(209, 218)(214, 223)(219, 224)(221, 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) :: { ( 16, 16 ), ( 16^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1567
Graph:: simple bipartite
	v = 58 e = 112 f = 14
	degree seq :: [ 2^56, 56^2 ]

E21.1567 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3 * Y1)^2, (Y2 * Y1)^7, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 5, 61, 117, 173)(2, 58, 114, 170, 7, 63, 119, 175, 16, 72, 128, 184, 8, 64, 120, 176)(3, 59, 115, 171, 10, 66, 122, 178, 20, 76, 132, 188, 11, 67, 123, 179)(6, 62, 118, 174, 14, 70, 126, 182, 24, 80, 136, 192, 15, 71, 127, 183)(9, 65, 121, 177, 18, 74, 130, 186, 28, 84, 140, 196, 19, 75, 131, 187)(13, 69, 125, 181, 22, 78, 134, 190, 32, 88, 144, 200, 23, 79, 135, 191)(17, 73, 129, 185, 26, 82, 138, 194, 36, 92, 148, 204, 27, 83, 139, 195)(21, 77, 133, 189, 30, 86, 142, 198, 40, 96, 152, 208, 31, 87, 143, 199)(25, 81, 137, 193, 34, 90, 146, 202, 44, 100, 156, 212, 35, 91, 147, 203)(29, 85, 141, 197, 38, 94, 150, 206, 48, 104, 160, 216, 39, 95, 151, 207)(33, 89, 145, 201, 42, 98, 154, 210, 51, 107, 163, 219, 43, 99, 155, 211)(37, 93, 149, 205, 46, 102, 158, 214, 54, 110, 166, 222, 47, 103, 159, 215)(41, 97, 153, 209, 49, 105, 161, 217, 55, 111, 167, 223, 50, 106, 162, 218)(45, 101, 157, 213, 52, 108, 164, 220, 56, 112, 168, 224, 53, 109, 165, 221)
	L = (1, 58)(2, 57)(3, 65)(4, 64)(5, 63)(6, 69)(7, 61)(8, 60)(9, 59)(10, 75)(11, 74)(12, 72)(13, 62)(14, 79)(15, 78)(16, 68)(17, 81)(18, 67)(19, 66)(20, 84)(21, 85)(22, 71)(23, 70)(24, 88)(25, 73)(26, 91)(27, 90)(28, 76)(29, 77)(30, 95)(31, 94)(32, 80)(33, 97)(34, 83)(35, 82)(36, 100)(37, 101)(38, 87)(39, 86)(40, 104)(41, 89)(42, 106)(43, 105)(44, 92)(45, 93)(46, 109)(47, 108)(48, 96)(49, 99)(50, 98)(51, 111)(52, 103)(53, 102)(54, 112)(55, 107)(56, 110)(113, 171)(114, 174)(115, 169)(116, 179)(117, 178)(118, 170)(119, 183)(120, 182)(121, 185)(122, 173)(123, 172)(124, 188)(125, 189)(126, 176)(127, 175)(128, 192)(129, 177)(130, 195)(131, 194)(132, 180)(133, 181)(134, 199)(135, 198)(136, 184)(137, 201)(138, 187)(139, 186)(140, 204)(141, 205)(142, 191)(143, 190)(144, 208)(145, 193)(146, 211)(147, 210)(148, 196)(149, 197)(150, 215)(151, 214)(152, 200)(153, 213)(154, 203)(155, 202)(156, 219)(157, 209)(158, 207)(159, 206)(160, 222)(161, 221)(162, 220)(163, 212)(164, 218)(165, 217)(166, 216)(167, 224)(168, 223)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1566
Transitivity :: VT+
Graph:: bipartite
	v = 14 e = 112 f = 58
	degree seq :: [ 16^14 ]

E21.1568 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 28})
Quotient :: loop^2
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1)^2, Y3^-8 * Y2 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 57, 113, 169, 4, 60, 116, 172, 12, 68, 124, 180, 24, 80, 136, 192, 40, 96, 152, 208, 53, 109, 165, 221, 37, 93, 149, 205, 21, 77, 133, 189, 9, 65, 121, 177, 20, 76, 132, 188, 36, 92, 148, 204, 44, 100, 156, 212, 26, 82, 138, 194, 43, 99, 155, 211, 55, 111, 167, 223, 51, 107, 163, 219, 33, 89, 145, 201, 48, 104, 160, 216, 30, 86, 142, 198, 16, 72, 128, 184, 6, 62, 118, 174, 15, 71, 127, 183, 29, 85, 141, 197, 47, 103, 159, 215, 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, 49, 105, 161, 217, 56, 112, 168, 224, 46, 102, 158, 214, 28, 84, 140, 196, 14, 70, 126, 182, 27, 83, 139, 195, 45, 101, 157, 213, 35, 91, 147, 203, 19, 75, 131, 187, 34, 90, 146, 202, 52, 108, 164, 220, 54, 110, 166, 222, 42, 98, 154, 210, 39, 95, 151, 207, 23, 79, 135, 191, 11, 67, 123, 179, 3, 59, 115, 171, 10, 66, 122, 178, 22, 78, 134, 190, 38, 94, 150, 206, 50, 106, 162, 218, 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, 89)(20, 67)(21, 66)(22, 93)(23, 92)(24, 88)(25, 87)(26, 98)(27, 72)(28, 71)(29, 102)(30, 101)(31, 81)(32, 80)(33, 75)(34, 107)(35, 104)(36, 79)(37, 78)(38, 109)(39, 100)(40, 106)(41, 105)(42, 82)(43, 110)(44, 95)(45, 86)(46, 85)(47, 112)(48, 91)(49, 97)(50, 96)(51, 90)(52, 111)(53, 94)(54, 99)(55, 108)(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, 212)(140, 211)(141, 186)(142, 185)(143, 216)(144, 215)(145, 217)(146, 189)(147, 188)(148, 213)(149, 220)(150, 193)(151, 192)(152, 210)(153, 218)(154, 208)(155, 196)(156, 195)(157, 204)(158, 223)(159, 200)(160, 199)(161, 201)(162, 209)(163, 224)(164, 205)(165, 222)(166, 221)(167, 214)(168, 219)
	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 E21.1565
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 112 f = 70
	degree seq :: [ 112^2 ]

E21.1569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y2 * Y1)^2, Y3^7 ]
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, 18, 74)(12, 68, 23, 79)(13, 69, 22, 78)(14, 70, 24, 80)(15, 71, 20, 76)(16, 72, 19, 75)(17, 73, 21, 77)(25, 81, 34, 90)(26, 82, 33, 89)(27, 83, 39, 95)(28, 84, 38, 94)(29, 85, 40, 96)(30, 86, 36, 92)(31, 87, 35, 91)(32, 88, 37, 93)(41, 97, 48, 104)(42, 98, 47, 103)(43, 99, 52, 108)(44, 100, 51, 107)(45, 101, 50, 106)(46, 102, 49, 105)(53, 109, 56, 112)(54, 110, 55, 111)(113, 169, 115, 171, 123, 179, 117, 173)(114, 170, 119, 175, 130, 186, 121, 177)(116, 172, 124, 180, 137, 193, 127, 183)(118, 174, 125, 181, 138, 194, 128, 184)(120, 176, 131, 187, 145, 201, 134, 190)(122, 178, 132, 188, 146, 202, 135, 191)(126, 182, 139, 195, 153, 209, 142, 198)(129, 185, 140, 196, 154, 210, 143, 199)(133, 189, 147, 203, 159, 215, 150, 206)(136, 192, 148, 204, 160, 216, 151, 207)(141, 197, 155, 211, 165, 221, 157, 213)(144, 200, 156, 212, 166, 222, 158, 214)(149, 205, 161, 217, 167, 223, 163, 219)(152, 208, 162, 218, 168, 224, 164, 220)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 137)(12, 139)(13, 115)(14, 141)(15, 142)(16, 117)(17, 118)(18, 145)(19, 147)(20, 119)(21, 149)(22, 150)(23, 121)(24, 122)(25, 153)(26, 123)(27, 155)(28, 125)(29, 144)(30, 157)(31, 128)(32, 129)(33, 159)(34, 130)(35, 161)(36, 132)(37, 152)(38, 163)(39, 135)(40, 136)(41, 165)(42, 138)(43, 156)(44, 140)(45, 158)(46, 143)(47, 167)(48, 146)(49, 162)(50, 148)(51, 164)(52, 151)(53, 166)(54, 154)(55, 168)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1571
Graph:: simple bipartite
	v = 42 e = 112 f = 30
	degree seq :: [ 4^28, 8^14 ]

E21.1570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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, Y2^4, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y2^2 * Y3^7 ]
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, 18, 74)(12, 68, 23, 79)(13, 69, 22, 78)(14, 70, 24, 80)(15, 71, 20, 76)(16, 72, 19, 75)(17, 73, 21, 77)(25, 81, 34, 90)(26, 82, 33, 89)(27, 83, 39, 95)(28, 84, 38, 94)(29, 85, 40, 96)(30, 86, 36, 92)(31, 87, 35, 91)(32, 88, 37, 93)(41, 97, 50, 106)(42, 98, 49, 105)(43, 99, 55, 111)(44, 100, 54, 110)(45, 101, 56, 112)(46, 102, 52, 108)(47, 103, 51, 107)(48, 104, 53, 109)(113, 169, 115, 171, 123, 179, 117, 173)(114, 170, 119, 175, 130, 186, 121, 177)(116, 172, 124, 180, 137, 193, 127, 183)(118, 174, 125, 181, 138, 194, 128, 184)(120, 176, 131, 187, 145, 201, 134, 190)(122, 178, 132, 188, 146, 202, 135, 191)(126, 182, 139, 195, 153, 209, 142, 198)(129, 185, 140, 196, 154, 210, 143, 199)(133, 189, 147, 203, 161, 217, 150, 206)(136, 192, 148, 204, 162, 218, 151, 207)(141, 197, 155, 211, 160, 216, 158, 214)(144, 200, 156, 212, 157, 213, 159, 215)(149, 205, 163, 219, 168, 224, 166, 222)(152, 208, 164, 220, 165, 221, 167, 223)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 137)(12, 139)(13, 115)(14, 141)(15, 142)(16, 117)(17, 118)(18, 145)(19, 147)(20, 119)(21, 149)(22, 150)(23, 121)(24, 122)(25, 153)(26, 123)(27, 155)(28, 125)(29, 157)(30, 158)(31, 128)(32, 129)(33, 161)(34, 130)(35, 163)(36, 132)(37, 165)(38, 166)(39, 135)(40, 136)(41, 160)(42, 138)(43, 159)(44, 140)(45, 154)(46, 156)(47, 143)(48, 144)(49, 168)(50, 146)(51, 167)(52, 148)(53, 162)(54, 164)(55, 151)(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, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1572
Graph:: simple bipartite
	v = 42 e = 112 f = 30
	degree seq :: [ 4^28, 8^14 ]

E21.1571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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, (R * Y2 * Y3^-1)^2, Y3^-7, Y3^-3 * Y1^4, Y3^21 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 32, 88, 46, 102, 36, 92, 17, 73, 6, 62, 10, 66, 22, 78, 33, 89, 14, 70, 25, 81, 43, 99, 37, 93, 18, 74, 26, 82, 34, 90, 15, 71, 4, 60, 9, 65, 21, 77, 40, 96, 38, 94, 35, 91, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 47, 103, 52, 108, 54, 110, 42, 98, 24, 80, 13, 69, 29, 85, 49, 105, 44, 100, 30, 86, 50, 106, 55, 111, 45, 101, 31, 87, 51, 107, 41, 97, 23, 79, 12, 68, 28, 84, 48, 104, 56, 112, 53, 109, 39, 95, 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, 151, 207)(133, 189, 154, 210)(134, 190, 153, 209)(137, 193, 157, 213)(138, 194, 156, 212)(144, 200, 165, 221)(145, 201, 163, 219)(146, 202, 161, 217)(147, 203, 159, 215)(148, 204, 160, 216)(149, 205, 162, 218)(150, 206, 164, 220)(152, 208, 166, 222)(155, 211, 167, 223)(158, 214, 168, 224)
	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, 146)(17, 117)(18, 118)(19, 152)(20, 153)(21, 155)(22, 119)(23, 156)(24, 120)(25, 158)(26, 122)(27, 160)(28, 162)(29, 123)(30, 164)(31, 125)(32, 150)(33, 131)(34, 134)(35, 138)(36, 128)(37, 129)(38, 130)(39, 163)(40, 149)(41, 161)(42, 132)(43, 148)(44, 159)(45, 136)(46, 147)(47, 168)(48, 167)(49, 139)(50, 166)(51, 141)(52, 165)(53, 143)(54, 151)(55, 154)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.1569
Graph:: bipartite
	v = 30 e = 112 f = 42
	degree seq :: [ 4^28, 56^2 ]

E21.1572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 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, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-4, Y1^2 * Y3^-1 * Y1^4, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 34, 90, 15, 71, 4, 60, 9, 65, 21, 77, 40, 96, 38, 94, 33, 89, 14, 70, 25, 81, 43, 99, 37, 93, 18, 74, 26, 82, 32, 88, 46, 102, 36, 92, 17, 73, 6, 62, 10, 66, 22, 78, 35, 91, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 47, 103, 41, 97, 23, 79, 12, 68, 28, 84, 48, 104, 56, 112, 53, 109, 44, 100, 30, 86, 50, 106, 55, 111, 45, 101, 31, 87, 51, 107, 52, 108, 54, 110, 42, 98, 24, 80, 13, 69, 29, 85, 49, 105, 39, 95, 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, 151, 207)(133, 189, 154, 210)(134, 190, 153, 209)(137, 193, 157, 213)(138, 194, 156, 212)(144, 200, 165, 221)(145, 201, 163, 219)(146, 202, 161, 217)(147, 203, 159, 215)(148, 204, 160, 216)(149, 205, 162, 218)(150, 206, 164, 220)(152, 208, 166, 222)(155, 211, 167, 223)(158, 214, 168, 224)
	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, 146)(17, 117)(18, 118)(19, 152)(20, 153)(21, 155)(22, 119)(23, 156)(24, 120)(25, 158)(26, 122)(27, 160)(28, 162)(29, 123)(30, 164)(31, 125)(32, 134)(33, 138)(34, 150)(35, 131)(36, 128)(37, 129)(38, 130)(39, 159)(40, 149)(41, 165)(42, 132)(43, 148)(44, 163)(45, 136)(46, 147)(47, 168)(48, 167)(49, 139)(50, 166)(51, 141)(52, 161)(53, 143)(54, 151)(55, 154)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.1570
Graph:: bipartite
	v = 30 e = 112 f = 42
	degree seq :: [ 4^28, 56^2 ]

E21.1573 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 28})
Quotient :: edge
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^-3, T2^-2 * T1^-1 * T2^-2 * T1, (T2 * T1 * T2 * T1^-1)^2, T2^6 * T1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 46, 38, 20, 6, 19, 37, 53, 55, 41, 23, 36, 25, 43, 56, 54, 39, 21, 13, 24, 42, 52, 35, 17, 5)(2, 7, 22, 40, 47, 31, 11, 18, 16, 34, 51, 45, 28, 9, 27, 15, 33, 50, 48, 30, 14, 4, 12, 32, 49, 44, 26, 8)(57, 58, 62, 74, 92, 83, 69, 60)(59, 65, 75, 70, 81, 64, 80, 67)(61, 71, 76, 68, 79, 63, 77, 72)(66, 82, 93, 87, 99, 84, 98, 86)(73, 78, 94, 90, 97, 89, 95, 88)(85, 101, 109, 104, 112, 100, 108, 103)(91, 106, 102, 105, 111, 96, 110, 107)
	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) :: { ( 16^8 ), ( 16^28 ) }
Outer automorphisms :: reflexible
Dual of E21.1575
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 7
	degree seq :: [ 8^7, 28^2 ]

E21.1574 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 28})
Quotient :: edge
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^-1 * T2 * T1^-1, T1^3 * T2 * T1 * T2, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^2, T2^-7 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 46, 39, 21, 13, 24, 42, 55, 54, 41, 23, 36, 25, 43, 56, 53, 38, 20, 6, 19, 37, 52, 35, 17, 5)(2, 7, 22, 40, 48, 30, 14, 4, 12, 32, 49, 45, 28, 9, 27, 15, 33, 50, 47, 31, 11, 18, 16, 34, 51, 44, 26, 8)(57, 58, 62, 74, 92, 83, 69, 60)(59, 65, 75, 70, 81, 64, 80, 67)(61, 71, 76, 68, 79, 63, 77, 72)(66, 82, 93, 87, 99, 84, 98, 86)(73, 78, 94, 90, 97, 89, 95, 88)(85, 101, 108, 104, 112, 100, 111, 103)(91, 106, 109, 105, 110, 96, 102, 107)
	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) :: { ( 16^8 ), ( 16^28 ) }
Outer automorphisms :: reflexible
Dual of E21.1576
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 7
	degree seq :: [ 8^7, 28^2 ]

E21.1575 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 28})
Quotient :: loop
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1^8, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^28 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 6, 62, 15, 71, 26, 82, 23, 79, 11, 67, 5, 61)(2, 58, 7, 63, 14, 70, 27, 83, 22, 78, 12, 68, 4, 60, 8, 64)(9, 65, 19, 75, 28, 84, 25, 81, 13, 69, 21, 77, 10, 66, 20, 76)(16, 72, 29, 85, 24, 80, 32, 88, 18, 74, 31, 87, 17, 73, 30, 86)(33, 89, 41, 97, 36, 92, 44, 100, 35, 91, 43, 99, 34, 90, 42, 98)(37, 93, 45, 101, 40, 96, 48, 104, 39, 95, 47, 103, 38, 94, 46, 102)(49, 105, 53, 109, 52, 108, 56, 112, 51, 107, 55, 111, 50, 106, 54, 110)
	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, 89)(20, 90)(21, 91)(22, 67)(23, 69)(24, 68)(25, 92)(26, 78)(27, 80)(28, 79)(29, 93)(30, 94)(31, 95)(32, 96)(33, 81)(34, 75)(35, 76)(36, 77)(37, 88)(38, 85)(39, 86)(40, 87)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 100)(50, 97)(51, 98)(52, 99)(53, 104)(54, 101)(55, 102)(56, 103)
	local type(s) :: { ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E21.1573
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 56 f = 9
	degree seq :: [ 16^7 ]

E21.1576 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 28})
Quotient :: loop
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^4 * T1 * T2^2, T1^8, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 6, 62, 15, 71, 26, 82, 23, 79, 11, 67, 5, 61)(2, 58, 7, 63, 14, 70, 27, 83, 22, 78, 12, 68, 4, 60, 8, 64)(9, 65, 19, 75, 28, 84, 25, 81, 13, 69, 21, 77, 10, 66, 20, 76)(16, 72, 29, 85, 24, 80, 32, 88, 18, 74, 31, 87, 17, 73, 30, 86)(33, 89, 41, 97, 36, 92, 44, 100, 35, 91, 43, 99, 34, 90, 42, 98)(37, 93, 45, 101, 40, 96, 48, 104, 39, 95, 47, 103, 38, 94, 46, 102)(49, 105, 55, 111, 52, 108, 54, 110, 51, 107, 53, 109, 50, 106, 56, 112)
	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, 89)(20, 90)(21, 91)(22, 67)(23, 69)(24, 68)(25, 92)(26, 78)(27, 80)(28, 79)(29, 93)(30, 94)(31, 95)(32, 96)(33, 81)(34, 75)(35, 76)(36, 77)(37, 88)(38, 85)(39, 86)(40, 87)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 100)(50, 97)(51, 98)(52, 99)(53, 104)(54, 101)(55, 102)(56, 103)
	local type(s) :: { ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E21.1574
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 56 f = 9
	degree seq :: [ 16^7 ]

E21.1577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 28})
Quotient :: dipole
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2 * Y1^2, Y1 * Y2^-2 * Y1^-1 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2^-6, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 36, 92, 27, 83, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 14, 70, 25, 81, 8, 64, 24, 80, 11, 67)(5, 61, 15, 71, 20, 76, 12, 68, 23, 79, 7, 63, 21, 77, 16, 72)(10, 66, 26, 82, 37, 93, 31, 87, 43, 99, 28, 84, 42, 98, 30, 86)(17, 73, 22, 78, 38, 94, 34, 90, 41, 97, 33, 89, 39, 95, 32, 88)(29, 85, 45, 101, 53, 109, 48, 104, 56, 112, 44, 100, 52, 108, 47, 103)(35, 91, 50, 106, 46, 102, 49, 105, 55, 111, 40, 96, 54, 110, 51, 107)(113, 169, 115, 171, 122, 178, 141, 197, 158, 214, 150, 206, 132, 188, 118, 174, 131, 187, 149, 205, 165, 221, 167, 223, 153, 209, 135, 191, 148, 204, 137, 193, 155, 211, 168, 224, 166, 222, 151, 207, 133, 189, 125, 181, 136, 192, 154, 210, 164, 220, 147, 203, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 152, 208, 159, 215, 143, 199, 123, 179, 130, 186, 128, 184, 146, 202, 163, 219, 157, 213, 140, 196, 121, 177, 139, 195, 127, 183, 145, 201, 162, 218, 160, 216, 142, 198, 126, 182, 116, 172, 124, 180, 144, 200, 161, 217, 156, 212, 138, 194, 120, 176)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 130)(12, 144)(13, 136)(14, 116)(15, 145)(16, 146)(17, 117)(18, 128)(19, 149)(20, 118)(21, 125)(22, 152)(23, 148)(24, 154)(25, 155)(26, 120)(27, 127)(28, 121)(29, 158)(30, 126)(31, 123)(32, 161)(33, 162)(34, 163)(35, 129)(36, 137)(37, 165)(38, 132)(39, 133)(40, 159)(41, 135)(42, 164)(43, 168)(44, 138)(45, 140)(46, 150)(47, 143)(48, 142)(49, 156)(50, 160)(51, 157)(52, 147)(53, 167)(54, 151)(55, 153)(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, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E21.1580
Graph:: bipartite
	v = 9 e = 112 f = 63
	degree seq :: [ 16^7, 56^2 ]

E21.1578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 28})
Quotient :: dipole
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2 * Y1^-2 * Y2^-1, Y1 * Y2^2 * Y1^-1 * Y2^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^6, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 18, 74, 36, 92, 27, 83, 13, 69, 4, 60)(3, 59, 9, 65, 19, 75, 14, 70, 25, 81, 8, 64, 24, 80, 11, 67)(5, 61, 15, 71, 20, 76, 12, 68, 23, 79, 7, 63, 21, 77, 16, 72)(10, 66, 26, 82, 37, 93, 31, 87, 43, 99, 28, 84, 42, 98, 30, 86)(17, 73, 22, 78, 38, 94, 34, 90, 41, 97, 33, 89, 39, 95, 32, 88)(29, 85, 45, 101, 52, 108, 48, 104, 56, 112, 44, 100, 55, 111, 47, 103)(35, 91, 50, 106, 53, 109, 49, 105, 54, 110, 40, 96, 46, 102, 51, 107)(113, 169, 115, 171, 122, 178, 141, 197, 158, 214, 151, 207, 133, 189, 125, 181, 136, 192, 154, 210, 167, 223, 166, 222, 153, 209, 135, 191, 148, 204, 137, 193, 155, 211, 168, 224, 165, 221, 150, 206, 132, 188, 118, 174, 131, 187, 149, 205, 164, 220, 147, 203, 129, 185, 117, 173)(114, 170, 119, 175, 134, 190, 152, 208, 160, 216, 142, 198, 126, 182, 116, 172, 124, 180, 144, 200, 161, 217, 157, 213, 140, 196, 121, 177, 139, 195, 127, 183, 145, 201, 162, 218, 159, 215, 143, 199, 123, 179, 130, 186, 128, 184, 146, 202, 163, 219, 156, 212, 138, 194, 120, 176)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 130)(12, 144)(13, 136)(14, 116)(15, 145)(16, 146)(17, 117)(18, 128)(19, 149)(20, 118)(21, 125)(22, 152)(23, 148)(24, 154)(25, 155)(26, 120)(27, 127)(28, 121)(29, 158)(30, 126)(31, 123)(32, 161)(33, 162)(34, 163)(35, 129)(36, 137)(37, 164)(38, 132)(39, 133)(40, 160)(41, 135)(42, 167)(43, 168)(44, 138)(45, 140)(46, 151)(47, 143)(48, 142)(49, 157)(50, 159)(51, 156)(52, 147)(53, 150)(54, 153)(55, 166)(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, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E21.1579
Graph:: bipartite
	v = 9 e = 112 f = 63
	degree seq :: [ 16^7, 56^2 ]

E21.1579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 28})
Quotient :: dipole
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^3 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-3 * Y3^-1, Y3^-2 * Y2^-1 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^-7 * Y2^2, (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, 148, 204, 139, 195, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 126, 182, 137, 193, 120, 176, 136, 192, 123, 179)(117, 173, 127, 183, 132, 188, 124, 180, 135, 191, 119, 175, 133, 189, 128, 184)(122, 178, 138, 194, 149, 205, 143, 199, 155, 211, 140, 196, 154, 210, 142, 198)(129, 185, 134, 190, 150, 206, 146, 202, 153, 209, 145, 201, 151, 207, 144, 200)(141, 197, 157, 213, 165, 221, 160, 216, 168, 224, 156, 212, 164, 220, 159, 215)(147, 203, 162, 218, 158, 214, 161, 217, 167, 223, 152, 208, 166, 222, 163, 219)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 130)(12, 144)(13, 136)(14, 116)(15, 145)(16, 146)(17, 117)(18, 128)(19, 149)(20, 118)(21, 125)(22, 152)(23, 148)(24, 154)(25, 155)(26, 120)(27, 127)(28, 121)(29, 158)(30, 126)(31, 123)(32, 161)(33, 162)(34, 163)(35, 129)(36, 137)(37, 165)(38, 132)(39, 133)(40, 159)(41, 135)(42, 164)(43, 168)(44, 138)(45, 140)(46, 150)(47, 143)(48, 142)(49, 156)(50, 160)(51, 157)(52, 147)(53, 167)(54, 151)(55, 153)(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) :: { ( 16, 56 ), ( 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1578
Graph:: simple bipartite
	v = 63 e = 112 f = 9
	degree seq :: [ 2^56, 16^7 ]

E21.1580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 28})
Quotient :: dipole
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|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, Y2^3 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^2 * Y2^-1 * Y3^2, Y2 * Y3^3 * Y2 * Y3^-4, (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, 148, 204, 139, 195, 125, 181, 116, 172)(115, 171, 121, 177, 131, 187, 126, 182, 137, 193, 120, 176, 136, 192, 123, 179)(117, 173, 127, 183, 132, 188, 124, 180, 135, 191, 119, 175, 133, 189, 128, 184)(122, 178, 138, 194, 149, 205, 143, 199, 155, 211, 140, 196, 154, 210, 142, 198)(129, 185, 134, 190, 150, 206, 146, 202, 153, 209, 145, 201, 151, 207, 144, 200)(141, 197, 157, 213, 164, 220, 160, 216, 168, 224, 156, 212, 167, 223, 159, 215)(147, 203, 162, 218, 165, 221, 161, 217, 166, 222, 152, 208, 158, 214, 163, 219)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 131)(7, 134)(8, 114)(9, 139)(10, 141)(11, 130)(12, 144)(13, 136)(14, 116)(15, 145)(16, 146)(17, 117)(18, 128)(19, 149)(20, 118)(21, 125)(22, 152)(23, 148)(24, 154)(25, 155)(26, 120)(27, 127)(28, 121)(29, 158)(30, 126)(31, 123)(32, 161)(33, 162)(34, 163)(35, 129)(36, 137)(37, 164)(38, 132)(39, 133)(40, 160)(41, 135)(42, 167)(43, 168)(44, 138)(45, 140)(46, 151)(47, 143)(48, 142)(49, 157)(50, 159)(51, 156)(52, 147)(53, 150)(54, 153)(55, 166)(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) :: { ( 16, 56 ), ( 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56, 16, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1577
Graph:: simple bipartite
	v = 63 e = 112 f = 9
	degree seq :: [ 2^56, 16^7 ]

E21.1581 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 8, 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), T1^7, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 25, 13, 5)(2, 7, 17, 30, 43, 31, 18, 8)(4, 10, 20, 33, 44, 38, 24, 12)(6, 15, 28, 41, 51, 42, 29, 16)(11, 21, 34, 45, 52, 48, 37, 23)(14, 26, 39, 49, 55, 50, 40, 27)(22, 35, 46, 53, 56, 54, 47, 36)(57, 58, 62, 70, 78, 67, 60)(59, 63, 71, 82, 91, 77, 66)(61, 64, 72, 83, 92, 79, 68)(65, 73, 84, 95, 102, 90, 76)(69, 74, 85, 96, 103, 93, 80)(75, 86, 97, 105, 109, 101, 89)(81, 87, 98, 106, 110, 104, 94)(88, 99, 107, 111, 112, 108, 100)
	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) :: { ( 112^7 ), ( 112^8 ) }
Outer automorphisms :: reflexible
Dual of E21.1585
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 56 f = 1
	degree seq :: [ 7^8, 8^7 ]

E21.1582 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 8, 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^-1 * T2^7, T1^8, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 18, 8, 2, 7, 17, 31, 44, 30, 16, 6, 15, 29, 43, 52, 42, 28, 14, 27, 41, 51, 56, 50, 40, 26, 39, 49, 55, 54, 47, 36, 22, 35, 46, 53, 48, 37, 23, 11, 21, 34, 45, 38, 24, 12, 4, 10, 20, 33, 25, 13, 5)(57, 58, 62, 70, 82, 78, 67, 60)(59, 63, 71, 83, 95, 91, 77, 66)(61, 64, 72, 84, 96, 92, 79, 68)(65, 73, 85, 97, 105, 102, 90, 76)(69, 74, 86, 98, 106, 103, 93, 80)(75, 87, 99, 107, 111, 109, 101, 89)(81, 88, 100, 108, 112, 110, 104, 94)
	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) :: { ( 14^8 ), ( 14^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1586
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 8^7, 56 ]

E21.1583 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 8, 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), T2^7, T1^8 * T2, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 13, 5)(2, 7, 17, 31, 32, 18, 8)(4, 10, 20, 33, 39, 24, 12)(6, 15, 29, 43, 44, 30, 16)(11, 21, 34, 45, 49, 38, 23)(14, 27, 41, 51, 52, 42, 28)(22, 35, 46, 53, 55, 48, 37)(26, 36, 47, 54, 56, 50, 40)(57, 58, 62, 70, 82, 93, 79, 68, 61, 64, 72, 84, 96, 104, 94, 80, 69, 74, 86, 98, 106, 111, 105, 95, 81, 88, 100, 108, 112, 109, 101, 89, 75, 87, 99, 107, 110, 102, 90, 76, 65, 73, 85, 97, 103, 91, 77, 66, 59, 63, 71, 83, 92, 78, 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) :: { ( 16^7 ), ( 16^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1584
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 56 f = 7
	degree seq :: [ 7^8, 56 ]

E21.1584 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 8, 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), T1^7, T2^8 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 30, 86, 43, 99, 31, 87, 18, 74, 8, 64)(4, 60, 10, 66, 20, 76, 33, 89, 44, 100, 38, 94, 24, 80, 12, 68)(6, 62, 15, 71, 28, 84, 41, 97, 51, 107, 42, 98, 29, 85, 16, 72)(11, 67, 21, 77, 34, 90, 45, 101, 52, 108, 48, 104, 37, 93, 23, 79)(14, 70, 26, 82, 39, 95, 49, 105, 55, 111, 50, 106, 40, 96, 27, 83)(22, 78, 35, 91, 46, 102, 53, 109, 56, 112, 54, 110, 47, 103, 36, 92)
	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, 78)(15, 82)(16, 83)(17, 84)(18, 85)(19, 86)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 87)(26, 91)(27, 92)(28, 95)(29, 96)(30, 97)(31, 98)(32, 99)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 102)(40, 103)(41, 105)(42, 106)(43, 107)(44, 88)(45, 89)(46, 90)(47, 93)(48, 94)(49, 109)(50, 110)(51, 111)(52, 100)(53, 101)(54, 104)(55, 112)(56, 108)
	local type(s) :: { ( 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56, 7, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1583
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 56 f = 9
	degree seq :: [ 16^7 ]

E21.1585 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 8, 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^-1 * T2^7, T1^8, (T1^-1 * T2^-1)^7 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 32, 88, 18, 74, 8, 64, 2, 58, 7, 63, 17, 73, 31, 87, 44, 100, 30, 86, 16, 72, 6, 62, 15, 71, 29, 85, 43, 99, 52, 108, 42, 98, 28, 84, 14, 70, 27, 83, 41, 97, 51, 107, 56, 112, 50, 106, 40, 96, 26, 82, 39, 95, 49, 105, 55, 111, 54, 110, 47, 103, 36, 92, 22, 78, 35, 91, 46, 102, 53, 109, 48, 104, 37, 93, 23, 79, 11, 67, 21, 77, 34, 90, 45, 101, 38, 94, 24, 80, 12, 68, 4, 60, 10, 66, 20, 76, 33, 89, 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, 78)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 79)(37, 80)(38, 81)(39, 91)(40, 92)(41, 105)(42, 106)(43, 107)(44, 108)(45, 89)(46, 90)(47, 93)(48, 94)(49, 102)(50, 103)(51, 111)(52, 112)(53, 101)(54, 104)(55, 109)(56, 110)
	local type(s) :: { ( 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1581
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 15
	degree seq :: [ 112 ]

E21.1586 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 8, 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), T2^7, T1^8 * T2, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 9, 65, 19, 75, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 31, 87, 32, 88, 18, 74, 8, 64)(4, 60, 10, 66, 20, 76, 33, 89, 39, 95, 24, 80, 12, 68)(6, 62, 15, 71, 29, 85, 43, 99, 44, 100, 30, 86, 16, 72)(11, 67, 21, 77, 34, 90, 45, 101, 49, 105, 38, 94, 23, 79)(14, 70, 27, 83, 41, 97, 51, 107, 52, 108, 42, 98, 28, 84)(22, 78, 35, 91, 46, 102, 53, 109, 55, 111, 48, 104, 37, 93)(26, 82, 36, 92, 47, 103, 54, 110, 56, 112, 50, 106, 40, 96)
	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, 93)(27, 92)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 104)(41, 103)(42, 106)(43, 107)(44, 108)(45, 89)(46, 90)(47, 91)(48, 94)(49, 95)(50, 111)(51, 110)(52, 112)(53, 101)(54, 102)(55, 105)(56, 109)
	local type(s) :: { ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.1582
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 56 f = 8
	degree seq :: [ 14^8 ]

E21.1587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|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), Y1^7, Y2^8, Y3^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 26, 82, 35, 91, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 27, 83, 36, 92, 23, 79, 12, 68)(9, 65, 17, 73, 28, 84, 39, 95, 46, 102, 34, 90, 20, 76)(13, 69, 18, 74, 29, 85, 40, 96, 47, 103, 37, 93, 24, 80)(19, 75, 30, 86, 41, 97, 49, 105, 53, 109, 45, 101, 33, 89)(25, 81, 31, 87, 42, 98, 50, 106, 54, 110, 48, 104, 38, 94)(32, 88, 43, 99, 51, 107, 55, 111, 56, 112, 52, 108, 44, 100)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 137, 193, 125, 181, 117, 173)(114, 170, 119, 175, 129, 185, 142, 198, 155, 211, 143, 199, 130, 186, 120, 176)(116, 172, 122, 178, 132, 188, 145, 201, 156, 212, 150, 206, 136, 192, 124, 180)(118, 174, 127, 183, 140, 196, 153, 209, 163, 219, 154, 210, 141, 197, 128, 184)(123, 179, 133, 189, 146, 202, 157, 213, 164, 220, 160, 216, 149, 205, 135, 191)(126, 182, 138, 194, 151, 207, 161, 217, 167, 223, 162, 218, 152, 208, 139, 195)(134, 190, 147, 203, 158, 214, 165, 221, 168, 224, 166, 222, 159, 215, 148, 204)
	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, 145)(20, 146)(21, 147)(22, 126)(23, 148)(24, 149)(25, 150)(26, 127)(27, 128)(28, 129)(29, 130)(30, 131)(31, 137)(32, 156)(33, 157)(34, 158)(35, 138)(36, 139)(37, 159)(38, 160)(39, 140)(40, 141)(41, 142)(42, 143)(43, 144)(44, 164)(45, 165)(46, 151)(47, 152)(48, 166)(49, 153)(50, 154)(51, 155)(52, 168)(53, 161)(54, 162)(55, 163)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1590
Graph:: bipartite
	v = 15 e = 112 f = 57
	degree seq :: [ 14^8, 16^7 ]

E21.1588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y2^7 * Y1^-1, Y1^8, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 39, 95, 35, 91, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 36, 92, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 41, 97, 49, 105, 46, 102, 34, 90, 20, 76)(13, 69, 18, 74, 30, 86, 42, 98, 50, 106, 47, 103, 37, 93, 24, 80)(19, 75, 31, 87, 43, 99, 51, 107, 55, 111, 53, 109, 45, 101, 33, 89)(25, 81, 32, 88, 44, 100, 52, 108, 56, 112, 54, 110, 48, 104, 38, 94)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 143, 199, 156, 212, 142, 198, 128, 184, 118, 174, 127, 183, 141, 197, 155, 211, 164, 220, 154, 210, 140, 196, 126, 182, 139, 195, 153, 209, 163, 219, 168, 224, 162, 218, 152, 208, 138, 194, 151, 207, 161, 217, 167, 223, 166, 222, 159, 215, 148, 204, 134, 190, 147, 203, 158, 214, 165, 221, 160, 216, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 157, 213, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 137, 193, 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, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 144)(20, 145)(21, 146)(22, 147)(23, 123)(24, 124)(25, 125)(26, 151)(27, 153)(28, 126)(29, 155)(30, 128)(31, 156)(32, 130)(33, 137)(34, 157)(35, 158)(36, 134)(37, 135)(38, 136)(39, 161)(40, 138)(41, 163)(42, 140)(43, 164)(44, 142)(45, 150)(46, 165)(47, 148)(48, 149)(49, 167)(50, 152)(51, 168)(52, 154)(53, 160)(54, 159)(55, 166)(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) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ), ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.1589
Graph:: bipartite
	v = 8 e = 112 f = 64
	degree seq :: [ 16^7, 112 ]

E21.1589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^7, Y3^2 * Y2^-2 * Y3^-2 * Y2^2, Y2^-1 * Y3^8, (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, 123, 179, 116, 172)(115, 171, 119, 175, 127, 183, 138, 194, 147, 203, 133, 189, 122, 178)(117, 173, 120, 176, 128, 184, 139, 195, 148, 204, 135, 191, 124, 180)(121, 177, 129, 185, 140, 196, 152, 208, 158, 214, 146, 202, 132, 188)(125, 181, 130, 186, 141, 197, 153, 209, 159, 215, 149, 205, 136, 192)(131, 187, 142, 198, 154, 210, 162, 218, 165, 221, 157, 213, 145, 201)(137, 193, 143, 199, 155, 211, 163, 219, 166, 222, 160, 216, 150, 206)(144, 200, 156, 212, 164, 220, 168, 224, 167, 223, 161, 217, 151, 207)
	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, 138)(15, 140)(16, 118)(17, 142)(18, 120)(19, 144)(20, 145)(21, 146)(22, 147)(23, 123)(24, 124)(25, 125)(26, 152)(27, 126)(28, 154)(29, 128)(30, 156)(31, 130)(32, 143)(33, 151)(34, 157)(35, 158)(36, 134)(37, 135)(38, 136)(39, 137)(40, 162)(41, 139)(42, 164)(43, 141)(44, 155)(45, 161)(46, 165)(47, 148)(48, 149)(49, 150)(50, 168)(51, 153)(52, 163)(53, 167)(54, 159)(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) :: { ( 16, 112 ), ( 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112, 16, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.1588
Graph:: simple bipartite
	v = 64 e = 112 f = 8
	degree seq :: [ 2^56, 14^8 ]

E21.1590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 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), (R * Y2 * Y3^-1)^2, Y1^2 * Y3^2 * Y1^-2 * Y3^-2, Y1^4 * Y3 * Y1^4, Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-3 * Y1, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^8 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 37, 93, 23, 79, 12, 68, 5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 48, 104, 38, 94, 24, 80, 13, 69, 18, 74, 30, 86, 42, 98, 50, 106, 55, 111, 49, 105, 39, 95, 25, 81, 32, 88, 44, 100, 52, 108, 56, 112, 53, 109, 45, 101, 33, 89, 19, 75, 31, 87, 43, 99, 51, 107, 54, 110, 46, 102, 34, 90, 20, 76, 9, 65, 17, 73, 29, 85, 41, 97, 47, 103, 35, 91, 21, 77, 10, 66, 3, 59, 7, 63, 15, 71, 27, 83, 36, 92, 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, 137)(20, 145)(21, 146)(22, 147)(23, 123)(24, 124)(25, 125)(26, 148)(27, 153)(28, 126)(29, 155)(30, 128)(31, 144)(32, 130)(33, 151)(34, 157)(35, 158)(36, 159)(37, 134)(38, 135)(39, 136)(40, 138)(41, 163)(42, 140)(43, 156)(44, 142)(45, 161)(46, 165)(47, 166)(48, 149)(49, 150)(50, 152)(51, 164)(52, 154)(53, 167)(54, 168)(55, 160)(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) :: { ( 14, 16 ), ( 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1587
Graph:: bipartite
	v = 57 e = 112 f = 15
	degree seq :: [ 2^56, 112 ]

E21.1591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), Y3^7, Y1^7, Y3^-1 * Y2^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 26, 82, 35, 91, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 27, 83, 36, 92, 23, 79, 12, 68)(9, 65, 17, 73, 28, 84, 40, 96, 47, 103, 34, 90, 20, 76)(13, 69, 18, 74, 29, 85, 41, 97, 48, 104, 37, 93, 24, 80)(19, 75, 30, 86, 42, 98, 50, 106, 54, 110, 46, 102, 33, 89)(25, 81, 31, 87, 43, 99, 51, 107, 55, 111, 49, 105, 38, 94)(32, 88, 39, 95, 44, 100, 52, 108, 56, 112, 53, 109, 45, 101)(113, 169, 115, 171, 121, 177, 131, 187, 144, 200, 150, 206, 136, 192, 124, 180, 116, 172, 122, 178, 132, 188, 145, 201, 157, 213, 161, 217, 149, 205, 135, 191, 123, 179, 133, 189, 146, 202, 158, 214, 165, 221, 167, 223, 160, 216, 148, 204, 134, 190, 147, 203, 159, 215, 166, 222, 168, 224, 163, 219, 153, 209, 139, 195, 126, 182, 138, 194, 152, 208, 162, 218, 164, 220, 155, 211, 141, 197, 128, 184, 118, 174, 127, 183, 140, 196, 154, 210, 156, 212, 143, 199, 130, 186, 120, 176, 114, 170, 119, 175, 129, 185, 142, 198, 151, 207, 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, 145)(20, 146)(21, 147)(22, 126)(23, 148)(24, 149)(25, 150)(26, 127)(27, 128)(28, 129)(29, 130)(30, 131)(31, 137)(32, 157)(33, 158)(34, 159)(35, 138)(36, 139)(37, 160)(38, 161)(39, 144)(40, 140)(41, 141)(42, 142)(43, 143)(44, 151)(45, 165)(46, 166)(47, 152)(48, 153)(49, 167)(50, 154)(51, 155)(52, 156)(53, 168)(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) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E21.1592
Graph:: bipartite
	v = 9 e = 112 f = 63
	degree seq :: [ 14^8, 112 ]

E21.1592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 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), (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^7, Y1^8, (Y1^-1 * Y3^-1)^7, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 22, 78, 11, 67, 4, 60)(3, 59, 7, 63, 15, 71, 27, 83, 39, 95, 35, 91, 21, 77, 10, 66)(5, 61, 8, 64, 16, 72, 28, 84, 40, 96, 36, 92, 23, 79, 12, 68)(9, 65, 17, 73, 29, 85, 41, 97, 49, 105, 46, 102, 34, 90, 20, 76)(13, 69, 18, 74, 30, 86, 42, 98, 50, 106, 47, 103, 37, 93, 24, 80)(19, 75, 31, 87, 43, 99, 51, 107, 55, 111, 53, 109, 45, 101, 33, 89)(25, 81, 32, 88, 44, 100, 52, 108, 56, 112, 54, 110, 48, 104, 38, 94)(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, 144)(20, 145)(21, 146)(22, 147)(23, 123)(24, 124)(25, 125)(26, 151)(27, 153)(28, 126)(29, 155)(30, 128)(31, 156)(32, 130)(33, 137)(34, 157)(35, 158)(36, 134)(37, 135)(38, 136)(39, 161)(40, 138)(41, 163)(42, 140)(43, 164)(44, 142)(45, 150)(46, 165)(47, 148)(48, 149)(49, 167)(50, 152)(51, 168)(52, 154)(53, 160)(54, 159)(55, 166)(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) :: { ( 14, 112 ), ( 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112, 14, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.1591
Graph:: simple bipartite
	v = 63 e = 112 f = 9
	degree seq :: [ 2^56, 16^7 ]

E21.1593 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, (T2^-1, T1^-1), T2^14 * T1, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 56, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 55, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 52, 44, 36, 28, 20, 12, 5)(57, 58, 62, 60)(59, 63, 69, 66)(61, 64, 70, 67)(65, 71, 77, 74)(68, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 95, 101, 98)(92, 96, 102, 99)(97, 103, 109, 106)(100, 104, 110, 107)(105, 108, 111, 112)
	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) :: { ( 112^4 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1595
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 56 f = 1
	degree seq :: [ 4^14, 56 ]

E21.1594 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, (T2^-1, T1^-1), T2^14 * T1^-1, (T1^-1 * T2^-1)^56 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 48, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 47, 55, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 56, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 52, 44, 36, 28, 20, 12, 5)(57, 58, 62, 60)(59, 63, 69, 66)(61, 64, 70, 67)(65, 71, 77, 74)(68, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 95, 101, 98)(92, 96, 102, 99)(97, 103, 109, 106)(100, 104, 110, 107)(105, 111, 112, 108)
	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) :: { ( 112^4 ), ( 112^56 ) }
Outer automorphisms :: reflexible
Dual of E21.1596
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 56 f = 1
	degree seq :: [ 4^14, 56 ]

E21.1595 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, (T2^-1, T1^-1), T2^14 * T1, (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, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67, 4, 60, 10, 66, 18, 74, 26, 82, 34, 90, 42, 98, 50, 106, 56, 112, 54, 110, 46, 102, 38, 94, 30, 86, 22, 78, 14, 70, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 55, 111, 48, 104, 40, 96, 32, 88, 24, 80, 16, 72, 8, 64, 2, 58, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 60)(7, 69)(8, 70)(9, 71)(10, 59)(11, 61)(12, 72)(13, 66)(14, 67)(15, 77)(16, 78)(17, 79)(18, 65)(19, 68)(20, 80)(21, 74)(22, 75)(23, 85)(24, 86)(25, 87)(26, 73)(27, 76)(28, 88)(29, 82)(30, 83)(31, 93)(32, 94)(33, 95)(34, 81)(35, 84)(36, 96)(37, 90)(38, 91)(39, 101)(40, 102)(41, 103)(42, 89)(43, 92)(44, 104)(45, 98)(46, 99)(47, 109)(48, 110)(49, 108)(50, 97)(51, 100)(52, 111)(53, 106)(54, 107)(55, 112)(56, 105)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1593
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 15
	degree seq :: [ 112 ]

E21.1596 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, (T2^-1, T1^-1), T2^14 * T1^-1, (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, 48, 104, 40, 96, 32, 88, 24, 80, 16, 72, 8, 64, 2, 58, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 55, 111, 54, 110, 46, 102, 38, 94, 30, 86, 22, 78, 14, 70, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 53, 109, 56, 112, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67, 4, 60, 10, 66, 18, 74, 26, 82, 34, 90, 42, 98, 50, 106, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 60)(7, 69)(8, 70)(9, 71)(10, 59)(11, 61)(12, 72)(13, 66)(14, 67)(15, 77)(16, 78)(17, 79)(18, 65)(19, 68)(20, 80)(21, 74)(22, 75)(23, 85)(24, 86)(25, 87)(26, 73)(27, 76)(28, 88)(29, 82)(30, 83)(31, 93)(32, 94)(33, 95)(34, 81)(35, 84)(36, 96)(37, 90)(38, 91)(39, 101)(40, 102)(41, 103)(42, 89)(43, 92)(44, 104)(45, 98)(46, 99)(47, 109)(48, 110)(49, 111)(50, 97)(51, 100)(52, 105)(53, 106)(54, 107)(55, 112)(56, 108)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1594
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 56 f = 15
	degree seq :: [ 112 ]

E21.1597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), Y1^3 * Y3^-1, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2^-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 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 4, 60)(3, 59, 7, 63, 13, 69, 10, 66)(5, 61, 8, 64, 14, 70, 11, 67)(9, 65, 15, 71, 21, 77, 18, 74)(12, 68, 16, 72, 22, 78, 19, 75)(17, 73, 23, 79, 29, 85, 26, 82)(20, 76, 24, 80, 30, 86, 27, 83)(25, 81, 31, 87, 37, 93, 34, 90)(28, 84, 32, 88, 38, 94, 35, 91)(33, 89, 39, 95, 45, 101, 42, 98)(36, 92, 40, 96, 46, 102, 43, 99)(41, 97, 47, 103, 53, 109, 50, 106)(44, 100, 48, 104, 54, 110, 51, 107)(49, 105, 55, 111, 56, 112, 52, 108)(113, 169, 115, 171, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176, 114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 167, 223, 166, 222, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 118, 174, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 165, 221, 168, 224, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179, 116, 172, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 164, 220, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 118)(5, 123)(6, 114)(7, 115)(8, 117)(9, 130)(10, 125)(11, 126)(12, 131)(13, 119)(14, 120)(15, 121)(16, 124)(17, 138)(18, 133)(19, 134)(20, 139)(21, 127)(22, 128)(23, 129)(24, 132)(25, 146)(26, 141)(27, 142)(28, 147)(29, 135)(30, 136)(31, 137)(32, 140)(33, 154)(34, 149)(35, 150)(36, 155)(37, 143)(38, 144)(39, 145)(40, 148)(41, 162)(42, 157)(43, 158)(44, 163)(45, 151)(46, 152)(47, 153)(48, 156)(49, 164)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1600
Graph:: bipartite
	v = 15 e = 112 f = 57
	degree seq :: [ 8^14, 112 ]

E21.1598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 56, 56})
Quotient :: dipole
Aut^+ = C56 (small group id <56, 2>)
Aut   = D112 (small group id <112, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, (Y2, Y1^-1), (Y3^-1, Y2^-1), 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 4, 60)(3, 59, 7, 63, 13, 69, 10, 66)(5, 61, 8, 64, 14, 70, 11, 67)(9, 65, 15, 71, 21, 77, 18, 74)(12, 68, 16, 72, 22, 78, 19, 75)(17, 73, 23, 79, 29, 85, 26, 82)(20, 76, 24, 80, 30, 86, 27, 83)(25, 81, 31, 87, 37, 93, 34, 90)(28, 84, 32, 88, 38, 94, 35, 91)(33, 89, 39, 95, 45, 101, 42, 98)(36, 92, 40, 96, 46, 102, 43, 99)(41, 97, 47, 103, 53, 109, 50, 106)(44, 100, 48, 104, 54, 110, 51, 107)(49, 105, 52, 108, 55, 111, 56, 112)(113, 169, 115, 171, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179, 116, 172, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 168, 224, 166, 222, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182, 118, 174, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 165, 221, 167, 223, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176, 114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 164, 220, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173)
	L = (1, 116)(2, 113)(3, 122)(4, 118)(5, 123)(6, 114)(7, 115)(8, 117)(9, 130)(10, 125)(11, 126)(12, 131)(13, 119)(14, 120)(15, 121)(16, 124)(17, 138)(18, 133)(19, 134)(20, 139)(21, 127)(22, 128)(23, 129)(24, 132)(25, 146)(26, 141)(27, 142)(28, 147)(29, 135)(30, 136)(31, 137)(32, 140)(33, 154)(34, 149)(35, 150)(36, 155)(37, 143)(38, 144)(39, 145)(40, 148)(41, 162)(42, 157)(43, 158)(44, 163)(45, 151)(46, 152)(47, 153)(48, 156)(49, 168)(50, 165)(51, 166)(52, 161)(53, 159)(54, 160)(55, 164)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1599
Graph:: bipartite
	v = 15 e = 112 f = 57
	degree seq :: [ 8^14, 112 ]

E21.1599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^14 * Y3, Y1^5 * Y3^-2 * Y1^-6 * Y3^-2 * Y1, (Y1^-1 * Y3^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61, 8, 64, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 53, 109, 55, 111, 49, 105, 41, 97, 33, 89, 25, 81, 17, 73, 9, 65, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 56, 112, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66, 3, 59, 7, 63, 14, 70, 22, 78, 30, 86, 38, 94, 46, 102, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 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, 128)(8, 114)(9, 117)(10, 129)(11, 130)(12, 116)(13, 134)(14, 136)(15, 118)(16, 120)(17, 124)(18, 137)(19, 138)(20, 123)(21, 142)(22, 144)(23, 125)(24, 127)(25, 132)(26, 145)(27, 146)(28, 131)(29, 150)(30, 152)(31, 133)(32, 135)(33, 140)(34, 153)(35, 154)(36, 139)(37, 158)(38, 160)(39, 141)(40, 143)(41, 148)(42, 161)(43, 162)(44, 147)(45, 163)(46, 166)(47, 149)(48, 151)(49, 156)(50, 167)(51, 168)(52, 155)(53, 157)(54, 159)(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) :: { ( 8, 112 ), ( 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.1598
Graph:: bipartite
	v = 57 e = 112 f = 15
	degree seq :: [ 2^56, 112 ]

E21.1600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^14 * Y3^-1, (Y1^-1 * Y3^-1)^56 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66, 3, 59, 7, 63, 14, 70, 22, 78, 30, 86, 38, 94, 46, 102, 53, 109, 55, 111, 49, 105, 41, 97, 33, 89, 25, 81, 17, 73, 9, 65, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 56, 112, 52, 108, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61, 8, 64, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 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, 128)(8, 114)(9, 117)(10, 129)(11, 130)(12, 116)(13, 134)(14, 136)(15, 118)(16, 120)(17, 124)(18, 137)(19, 138)(20, 123)(21, 142)(22, 144)(23, 125)(24, 127)(25, 132)(26, 145)(27, 146)(28, 131)(29, 150)(30, 152)(31, 133)(32, 135)(33, 140)(34, 153)(35, 154)(36, 139)(37, 158)(38, 160)(39, 141)(40, 143)(41, 148)(42, 161)(43, 162)(44, 147)(45, 165)(46, 166)(47, 149)(48, 151)(49, 156)(50, 167)(51, 157)(52, 155)(53, 168)(54, 159)(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) :: { ( 8, 112 ), ( 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112, 8, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.1597
Graph:: bipartite
	v = 57 e = 112 f = 15
	degree seq :: [ 2^56, 112 ]

E21.1601 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = S5 (small group id <120, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, Y2 * Y3 * Y1 * Y3^-1, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y2^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 61, 4, 64, 7, 67)(2, 62, 9, 69, 11, 71)(3, 63, 13, 73, 14, 74)(5, 65, 19, 79, 21, 81)(6, 66, 15, 75, 23, 83)(8, 68, 27, 87, 28, 88)(10, 70, 29, 89, 32, 92)(12, 72, 35, 95, 36, 96)(16, 76, 25, 85, 44, 104)(17, 77, 24, 84, 45, 105)(18, 78, 46, 106, 47, 107)(20, 80, 48, 108, 43, 103)(22, 82, 52, 112, 53, 113)(26, 86, 55, 115, 56, 116)(30, 90, 34, 94, 41, 101)(31, 91, 33, 93, 59, 119)(37, 97, 40, 100, 57, 117)(38, 98, 39, 99, 50, 110)(42, 102, 54, 114, 60, 120)(49, 109, 51, 111, 58, 118)(121, 122, 125)(123, 132, 130)(124, 135, 133)(126, 138, 142)(127, 144, 145)(128, 146, 140)(129, 149, 147)(131, 153, 154)(134, 159, 160)(136, 163, 162)(137, 157, 148)(139, 168, 166)(141, 170, 171)(143, 174, 150)(151, 177, 167)(152, 180, 169)(155, 172, 175)(156, 179, 164)(158, 161, 176)(165, 178, 173)(181, 183, 186)(182, 188, 190)(184, 196, 197)(185, 198, 200)(187, 201, 191)(189, 210, 211)(192, 206, 202)(193, 217, 218)(194, 212, 216)(195, 221, 222)(199, 229, 219)(203, 233, 227)(204, 232, 231)(205, 213, 215)(207, 237, 225)(208, 223, 236)(209, 238, 234)(214, 230, 235)(220, 239, 226)(224, 240, 228)
	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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1602
Graph:: simple bipartite
	v = 60 e = 120 f = 20
	degree seq :: [ 3^40, 6^20 ]

E21.1602 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = A5 (small group id <60, 5>)
Aut   = S5 (small group id <120, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^3, Y1^3, Y2 * Y3 * Y1 * Y3^-1, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y2^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 61, 121, 181, 4, 64, 124, 184, 7, 67, 127, 187)(2, 62, 122, 182, 9, 69, 129, 189, 11, 71, 131, 191)(3, 63, 123, 183, 13, 73, 133, 193, 14, 74, 134, 194)(5, 65, 125, 185, 19, 79, 139, 199, 21, 81, 141, 201)(6, 66, 126, 186, 15, 75, 135, 195, 23, 83, 143, 203)(8, 68, 128, 188, 27, 87, 147, 207, 28, 88, 148, 208)(10, 70, 130, 190, 29, 89, 149, 209, 32, 92, 152, 212)(12, 72, 132, 192, 35, 95, 155, 215, 36, 96, 156, 216)(16, 76, 136, 196, 25, 85, 145, 205, 44, 104, 164, 224)(17, 77, 137, 197, 24, 84, 144, 204, 45, 105, 165, 225)(18, 78, 138, 198, 46, 106, 166, 226, 47, 107, 167, 227)(20, 80, 140, 200, 48, 108, 168, 228, 43, 103, 163, 223)(22, 82, 142, 202, 52, 112, 172, 232, 53, 113, 173, 233)(26, 86, 146, 206, 55, 115, 175, 235, 56, 116, 176, 236)(30, 90, 150, 210, 34, 94, 154, 214, 41, 101, 161, 221)(31, 91, 151, 211, 33, 93, 153, 213, 59, 119, 179, 239)(37, 97, 157, 217, 40, 100, 160, 220, 57, 117, 177, 237)(38, 98, 158, 218, 39, 99, 159, 219, 50, 110, 170, 230)(42, 102, 162, 222, 54, 114, 174, 234, 60, 120, 180, 240)(49, 109, 169, 229, 51, 111, 171, 231, 58, 118, 178, 238)
	L = (1, 62)(2, 65)(3, 72)(4, 75)(5, 61)(6, 78)(7, 84)(8, 86)(9, 89)(10, 63)(11, 93)(12, 70)(13, 64)(14, 99)(15, 73)(16, 103)(17, 97)(18, 82)(19, 108)(20, 68)(21, 110)(22, 66)(23, 114)(24, 85)(25, 67)(26, 80)(27, 69)(28, 77)(29, 87)(30, 83)(31, 117)(32, 120)(33, 94)(34, 71)(35, 112)(36, 119)(37, 88)(38, 101)(39, 100)(40, 74)(41, 116)(42, 76)(43, 102)(44, 96)(45, 118)(46, 79)(47, 91)(48, 106)(49, 92)(50, 111)(51, 81)(52, 115)(53, 105)(54, 90)(55, 95)(56, 98)(57, 107)(58, 113)(59, 104)(60, 109)(121, 183)(122, 188)(123, 186)(124, 196)(125, 198)(126, 181)(127, 201)(128, 190)(129, 210)(130, 182)(131, 187)(132, 206)(133, 217)(134, 212)(135, 221)(136, 197)(137, 184)(138, 200)(139, 229)(140, 185)(141, 191)(142, 192)(143, 233)(144, 232)(145, 213)(146, 202)(147, 237)(148, 223)(149, 238)(150, 211)(151, 189)(152, 216)(153, 215)(154, 230)(155, 205)(156, 194)(157, 218)(158, 193)(159, 199)(160, 239)(161, 222)(162, 195)(163, 236)(164, 240)(165, 207)(166, 220)(167, 203)(168, 224)(169, 219)(170, 235)(171, 204)(172, 231)(173, 227)(174, 209)(175, 214)(176, 208)(177, 225)(178, 234)(179, 226)(180, 228)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1601
Transitivity :: VT+
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.1603 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map::
	R = (1, 62, 2, 65, 5, 71, 11, 70, 10, 64, 4, 61)(3, 67, 7, 72, 12, 80, 20, 77, 17, 68, 8, 63)(6, 73, 13, 79, 19, 78, 18, 69, 9, 74, 14, 66)(15, 83, 23, 87, 27, 85, 25, 76, 16, 84, 24, 75)(21, 88, 28, 86, 26, 90, 30, 82, 22, 89, 29, 81)(31, 97, 37, 93, 33, 99, 39, 92, 32, 98, 38, 91)(34, 100, 40, 96, 36, 102, 42, 95, 35, 101, 41, 94)(43, 109, 49, 105, 45, 111, 51, 104, 44, 110, 50, 103)(46, 112, 52, 108, 48, 114, 54, 107, 47, 113, 53, 106)(55, 118, 58, 117, 57, 120, 60, 116, 56, 119, 59, 115)
	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, 58)(53, 59)(54, 60)(61, 63)(62, 66)(64, 69)(65, 72)(67, 75)(68, 76)(70, 77)(71, 79)(73, 81)(74, 82)(78, 86)(80, 87)(83, 91)(84, 92)(85, 93)(88, 94)(89, 95)(90, 96)(97, 103)(98, 104)(99, 105)(100, 106)(101, 107)(102, 108)(109, 115)(110, 116)(111, 117)(112, 118)(113, 119)(114, 120)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 10
	degree seq :: [ 12^10 ]

E21.1604 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
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, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 62, 2, 65, 5, 71, 11, 70, 10, 64, 4, 61)(3, 67, 7, 75, 15, 80, 20, 72, 12, 68, 8, 63)(6, 73, 13, 69, 9, 78, 18, 79, 19, 74, 14, 66)(16, 83, 23, 77, 17, 85, 25, 87, 27, 84, 24, 76)(21, 88, 28, 82, 22, 90, 30, 86, 26, 89, 29, 81)(31, 97, 37, 92, 32, 99, 39, 93, 33, 98, 38, 91)(34, 100, 40, 95, 35, 102, 42, 96, 36, 101, 41, 94)(43, 109, 49, 104, 44, 111, 51, 105, 45, 110, 50, 103)(46, 112, 52, 107, 47, 114, 54, 108, 48, 113, 53, 106)(55, 119, 59, 116, 56, 120, 60, 117, 57, 118, 58, 115)
	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, 58)(53, 59)(54, 60)(61, 63)(62, 66)(64, 69)(65, 72)(67, 76)(68, 77)(70, 75)(71, 79)(73, 81)(74, 82)(78, 86)(80, 87)(83, 91)(84, 92)(85, 93)(88, 94)(89, 95)(90, 96)(97, 103)(98, 104)(99, 105)(100, 106)(101, 107)(102, 108)(109, 115)(110, 116)(111, 117)(112, 118)(113, 119)(114, 120)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 10
	degree seq :: [ 12^10 ]

E21.1605 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
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, Y3 * Y2 * Y1^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 62, 2, 66, 6, 74, 14, 72, 12, 65, 5, 61)(3, 69, 9, 64, 4, 71, 11, 75, 15, 70, 10, 63)(7, 76, 16, 68, 8, 78, 18, 73, 13, 77, 17, 67)(19, 85, 25, 80, 20, 87, 27, 81, 21, 86, 26, 79)(22, 88, 28, 83, 23, 90, 30, 84, 24, 89, 29, 82)(31, 97, 37, 92, 32, 99, 39, 93, 33, 98, 38, 91)(34, 100, 40, 95, 35, 102, 42, 96, 36, 101, 41, 94)(43, 109, 49, 104, 44, 111, 51, 105, 45, 110, 50, 103)(46, 112, 52, 107, 47, 114, 54, 108, 48, 113, 53, 106)(55, 119, 59, 116, 56, 120, 60, 117, 57, 118, 58, 115)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 21)(13, 14)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 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, 58)(53, 59)(54, 60)(61, 64)(62, 68)(63, 66)(65, 73)(67, 74)(69, 80)(70, 81)(71, 79)(72, 75)(76, 83)(77, 84)(78, 82)(85, 92)(86, 93)(87, 91)(88, 95)(89, 96)(90, 94)(97, 104)(98, 105)(99, 103)(100, 107)(101, 108)(102, 106)(109, 116)(110, 117)(111, 115)(112, 119)(113, 120)(114, 118)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 10
	degree seq :: [ 12^10 ]

E21.1606 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3^6, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 61, 3, 63, 8, 68, 17, 77, 10, 70, 4, 64)(2, 62, 5, 65, 12, 72, 21, 81, 14, 74, 6, 66)(7, 67, 15, 75, 24, 84, 18, 78, 9, 69, 16, 76)(11, 71, 19, 79, 28, 88, 22, 82, 13, 73, 20, 80)(23, 83, 31, 91, 26, 86, 33, 93, 25, 85, 32, 92)(27, 87, 34, 94, 30, 90, 36, 96, 29, 89, 35, 95)(37, 97, 43, 103, 39, 99, 45, 105, 38, 98, 44, 104)(40, 100, 46, 106, 42, 102, 48, 108, 41, 101, 47, 107)(49, 109, 55, 115, 51, 111, 57, 117, 50, 110, 56, 116)(52, 112, 58, 118, 54, 114, 60, 120, 53, 113, 59, 119)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 143)(136, 145)(137, 144)(138, 146)(139, 147)(140, 149)(141, 148)(142, 150)(151, 157)(152, 158)(153, 159)(154, 160)(155, 161)(156, 162)(163, 169)(164, 170)(165, 171)(166, 172)(167, 173)(168, 174)(175, 178)(176, 179)(177, 180)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 192)(190, 194)(195, 203)(196, 205)(197, 204)(198, 206)(199, 207)(200, 209)(201, 208)(202, 210)(211, 217)(212, 218)(213, 219)(214, 220)(215, 221)(216, 222)(223, 229)(224, 230)(225, 231)(226, 232)(227, 233)(228, 234)(235, 238)(236, 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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1611
Graph:: simple bipartite
	v = 70 e = 120 f = 10
	degree seq :: [ 2^60, 12^10 ]

E21.1607 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
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, Y2^2, R^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^6, Y3 * Y1 * Y3^-4 * Y1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 3, 63, 8, 68, 17, 77, 10, 70, 4, 64)(2, 62, 5, 65, 12, 72, 21, 81, 14, 74, 6, 66)(7, 67, 15, 75, 9, 69, 18, 78, 25, 85, 16, 76)(11, 71, 19, 79, 13, 73, 22, 82, 29, 89, 20, 80)(23, 83, 31, 91, 24, 84, 33, 93, 26, 86, 32, 92)(27, 87, 34, 94, 28, 88, 36, 96, 30, 90, 35, 95)(37, 97, 43, 103, 38, 98, 45, 105, 39, 99, 44, 104)(40, 100, 46, 106, 41, 101, 48, 108, 42, 102, 47, 107)(49, 109, 55, 115, 50, 110, 57, 117, 51, 111, 56, 116)(52, 112, 58, 118, 53, 113, 60, 120, 54, 114, 59, 119)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 134)(130, 132)(135, 143)(136, 144)(137, 145)(138, 146)(139, 147)(140, 148)(141, 149)(142, 150)(151, 157)(152, 158)(153, 159)(154, 160)(155, 161)(156, 162)(163, 169)(164, 170)(165, 171)(166, 172)(167, 173)(168, 174)(175, 179)(176, 178)(177, 180)(181, 182)(183, 187)(184, 189)(185, 191)(186, 193)(188, 194)(190, 192)(195, 203)(196, 204)(197, 205)(198, 206)(199, 207)(200, 208)(201, 209)(202, 210)(211, 217)(212, 218)(213, 219)(214, 220)(215, 221)(216, 222)(223, 229)(224, 230)(225, 231)(226, 232)(227, 233)(228, 234)(235, 239)(236, 238)(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) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1612
Graph:: simple bipartite
	v = 70 e = 120 f = 10
	degree seq :: [ 2^60, 12^10 ]

E21.1608 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
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, Y2^2, R^2, Y1 * Y2 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-4 * Y1, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 4, 64, 9, 69, 15, 75, 6, 66, 5, 65)(2, 62, 7, 67, 14, 74, 10, 70, 3, 63, 8, 68)(11, 71, 19, 79, 13, 73, 21, 81, 12, 72, 20, 80)(16, 76, 22, 82, 18, 78, 24, 84, 17, 77, 23, 83)(25, 85, 31, 91, 27, 87, 33, 93, 26, 86, 32, 92)(28, 88, 34, 94, 30, 90, 36, 96, 29, 89, 35, 95)(37, 97, 43, 103, 39, 99, 45, 105, 38, 98, 44, 104)(40, 100, 46, 106, 42, 102, 48, 108, 41, 101, 47, 107)(49, 109, 55, 115, 51, 111, 57, 117, 50, 110, 56, 116)(52, 112, 58, 118, 54, 114, 60, 120, 53, 113, 59, 119)(121, 122)(123, 129)(124, 131)(125, 133)(126, 134)(127, 136)(128, 138)(130, 137)(132, 135)(139, 145)(140, 147)(141, 146)(142, 148)(143, 150)(144, 149)(151, 157)(152, 159)(153, 158)(154, 160)(155, 162)(156, 161)(163, 169)(164, 171)(165, 170)(166, 172)(167, 174)(168, 173)(175, 179)(176, 178)(177, 180)(181, 183)(182, 186)(184, 192)(185, 191)(187, 197)(188, 196)(189, 194)(190, 198)(193, 195)(199, 206)(200, 205)(201, 207)(202, 209)(203, 208)(204, 210)(211, 218)(212, 217)(213, 219)(214, 221)(215, 220)(216, 222)(223, 230)(224, 229)(225, 231)(226, 233)(227, 232)(228, 234)(235, 240)(236, 239)(237, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E21.1613
Graph:: simple bipartite
	v = 70 e = 120 f = 10
	degree seq :: [ 2^60, 12^10 ]

E21.1609 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2^6, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 15, 75)(9, 69, 17, 77)(10, 70, 18, 78)(11, 71, 19, 79)(13, 73, 21, 81)(14, 74, 22, 82)(16, 76, 23, 83)(20, 80, 27, 87)(24, 84, 31, 91)(25, 85, 32, 92)(26, 86, 33, 93)(28, 88, 34, 94)(29, 89, 35, 95)(30, 90, 36, 96)(37, 97, 43, 103)(38, 98, 44, 104)(39, 99, 45, 105)(40, 100, 46, 106)(41, 101, 47, 107)(42, 102, 48, 108)(49, 109, 55, 115)(50, 110, 56, 116)(51, 111, 57, 117)(52, 112, 58, 118)(53, 113, 59, 119)(54, 114, 60, 120)(121, 122, 125, 131, 127, 123)(124, 129, 135, 140, 132, 130)(126, 133, 128, 136, 139, 134)(137, 144, 138, 146, 147, 145)(141, 148, 142, 150, 143, 149)(151, 157, 152, 159, 153, 158)(154, 160, 155, 162, 156, 161)(163, 169, 164, 171, 165, 170)(166, 172, 167, 174, 168, 173)(175, 179, 176, 180, 177, 178)(181, 183, 187, 191, 185, 182)(184, 190, 192, 200, 195, 189)(186, 194, 199, 196, 188, 193)(197, 205, 207, 206, 198, 204)(201, 209, 203, 210, 202, 208)(211, 218, 213, 219, 212, 217)(214, 221, 216, 222, 215, 220)(223, 230, 225, 231, 224, 229)(226, 233, 228, 234, 227, 232)(235, 238, 237, 240, 236, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1614
Graph:: simple bipartite
	v = 50 e = 120 f = 30
	degree seq :: [ 4^30, 6^20 ]

E21.1610 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
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, R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 3, 63)(2, 62, 6, 66)(4, 64, 9, 69)(5, 65, 12, 72)(7, 67, 16, 76)(8, 68, 17, 77)(10, 70, 15, 75)(11, 71, 19, 79)(13, 73, 21, 81)(14, 74, 22, 82)(18, 78, 26, 86)(20, 80, 27, 87)(23, 83, 31, 91)(24, 84, 32, 92)(25, 85, 33, 93)(28, 88, 34, 94)(29, 89, 35, 95)(30, 90, 36, 96)(37, 97, 43, 103)(38, 98, 44, 104)(39, 99, 45, 105)(40, 100, 46, 106)(41, 101, 47, 107)(42, 102, 48, 108)(49, 109, 55, 115)(50, 110, 56, 116)(51, 111, 57, 117)(52, 112, 58, 118)(53, 113, 59, 119)(54, 114, 60, 120)(121, 122, 125, 131, 130, 124)(123, 127, 135, 140, 132, 128)(126, 133, 129, 138, 139, 134)(136, 143, 137, 145, 147, 144)(141, 148, 142, 150, 146, 149)(151, 157, 152, 159, 153, 158)(154, 160, 155, 162, 156, 161)(163, 169, 164, 171, 165, 170)(166, 172, 167, 174, 168, 173)(175, 179, 176, 180, 177, 178)(181, 182, 185, 191, 190, 184)(183, 187, 195, 200, 192, 188)(186, 193, 189, 198, 199, 194)(196, 203, 197, 205, 207, 204)(201, 208, 202, 210, 206, 209)(211, 217, 212, 219, 213, 218)(214, 220, 215, 222, 216, 221)(223, 229, 224, 231, 225, 230)(226, 232, 227, 234, 228, 233)(235, 239, 236, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1615
Graph:: simple bipartite
	v = 50 e = 120 f = 30
	degree seq :: [ 4^30, 6^20 ]

E21.1611 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3^6, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 61, 121, 181, 3, 63, 123, 183, 8, 68, 128, 188, 17, 77, 137, 197, 10, 70, 130, 190, 4, 64, 124, 184)(2, 62, 122, 182, 5, 65, 125, 185, 12, 72, 132, 192, 21, 81, 141, 201, 14, 74, 134, 194, 6, 66, 126, 186)(7, 67, 127, 187, 15, 75, 135, 195, 24, 84, 144, 204, 18, 78, 138, 198, 9, 69, 129, 189, 16, 76, 136, 196)(11, 71, 131, 191, 19, 79, 139, 199, 28, 88, 148, 208, 22, 82, 142, 202, 13, 73, 133, 193, 20, 80, 140, 200)(23, 83, 143, 203, 31, 91, 151, 211, 26, 86, 146, 206, 33, 93, 153, 213, 25, 85, 145, 205, 32, 92, 152, 212)(27, 87, 147, 207, 34, 94, 154, 214, 30, 90, 150, 210, 36, 96, 156, 216, 29, 89, 149, 209, 35, 95, 155, 215)(37, 97, 157, 217, 43, 103, 163, 223, 39, 99, 159, 219, 45, 105, 165, 225, 38, 98, 158, 218, 44, 104, 164, 224)(40, 100, 160, 220, 46, 106, 166, 226, 42, 102, 162, 222, 48, 108, 168, 228, 41, 101, 161, 221, 47, 107, 167, 227)(49, 109, 169, 229, 55, 115, 175, 235, 51, 111, 171, 231, 57, 117, 177, 237, 50, 110, 170, 230, 56, 116, 176, 236)(52, 112, 172, 232, 58, 118, 178, 238, 54, 114, 174, 234, 60, 120, 180, 240, 53, 113, 173, 233, 59, 119, 179, 239)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 72)(9, 64)(10, 74)(11, 65)(12, 68)(13, 66)(14, 70)(15, 83)(16, 85)(17, 84)(18, 86)(19, 87)(20, 89)(21, 88)(22, 90)(23, 75)(24, 77)(25, 76)(26, 78)(27, 79)(28, 81)(29, 80)(30, 82)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(55, 118)(56, 119)(57, 120)(58, 115)(59, 116)(60, 117)(121, 182)(122, 181)(123, 187)(124, 189)(125, 191)(126, 193)(127, 183)(128, 192)(129, 184)(130, 194)(131, 185)(132, 188)(133, 186)(134, 190)(135, 203)(136, 205)(137, 204)(138, 206)(139, 207)(140, 209)(141, 208)(142, 210)(143, 195)(144, 197)(145, 196)(146, 198)(147, 199)(148, 201)(149, 200)(150, 202)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 223)(170, 224)(171, 225)(172, 226)(173, 227)(174, 228)(175, 238)(176, 239)(177, 240)(178, 235)(179, 236)(180, 237)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1606
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 70
	degree seq :: [ 24^10 ]

E21.1612 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
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, Y2^2, R^2, Y1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^6, Y3 * Y1 * Y3^-4 * Y1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 121, 181, 3, 63, 123, 183, 8, 68, 128, 188, 17, 77, 137, 197, 10, 70, 130, 190, 4, 64, 124, 184)(2, 62, 122, 182, 5, 65, 125, 185, 12, 72, 132, 192, 21, 81, 141, 201, 14, 74, 134, 194, 6, 66, 126, 186)(7, 67, 127, 187, 15, 75, 135, 195, 9, 69, 129, 189, 18, 78, 138, 198, 25, 85, 145, 205, 16, 76, 136, 196)(11, 71, 131, 191, 19, 79, 139, 199, 13, 73, 133, 193, 22, 82, 142, 202, 29, 89, 149, 209, 20, 80, 140, 200)(23, 83, 143, 203, 31, 91, 151, 211, 24, 84, 144, 204, 33, 93, 153, 213, 26, 86, 146, 206, 32, 92, 152, 212)(27, 87, 147, 207, 34, 94, 154, 214, 28, 88, 148, 208, 36, 96, 156, 216, 30, 90, 150, 210, 35, 95, 155, 215)(37, 97, 157, 217, 43, 103, 163, 223, 38, 98, 158, 218, 45, 105, 165, 225, 39, 99, 159, 219, 44, 104, 164, 224)(40, 100, 160, 220, 46, 106, 166, 226, 41, 101, 161, 221, 48, 108, 168, 228, 42, 102, 162, 222, 47, 107, 167, 227)(49, 109, 169, 229, 55, 115, 175, 235, 50, 110, 170, 230, 57, 117, 177, 237, 51, 111, 171, 231, 56, 116, 176, 236)(52, 112, 172, 232, 58, 118, 178, 238, 53, 113, 173, 233, 60, 120, 180, 240, 54, 114, 174, 234, 59, 119, 179, 239)
	L = (1, 62)(2, 61)(3, 67)(4, 69)(5, 71)(6, 73)(7, 63)(8, 74)(9, 64)(10, 72)(11, 65)(12, 70)(13, 66)(14, 68)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 75)(24, 76)(25, 77)(26, 78)(27, 79)(28, 80)(29, 81)(30, 82)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(55, 119)(56, 118)(57, 120)(58, 116)(59, 115)(60, 117)(121, 182)(122, 181)(123, 187)(124, 189)(125, 191)(126, 193)(127, 183)(128, 194)(129, 184)(130, 192)(131, 185)(132, 190)(133, 186)(134, 188)(135, 203)(136, 204)(137, 205)(138, 206)(139, 207)(140, 208)(141, 209)(142, 210)(143, 195)(144, 196)(145, 197)(146, 198)(147, 199)(148, 200)(149, 201)(150, 202)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 223)(170, 224)(171, 225)(172, 226)(173, 227)(174, 228)(175, 239)(176, 238)(177, 240)(178, 236)(179, 235)(180, 237)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1607
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 70
	degree seq :: [ 24^10 ]

E21.1613 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
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, Y2^2, R^2, Y1 * Y2 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-4 * Y1, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 61, 121, 181, 4, 64, 124, 184, 9, 69, 129, 189, 15, 75, 135, 195, 6, 66, 126, 186, 5, 65, 125, 185)(2, 62, 122, 182, 7, 67, 127, 187, 14, 74, 134, 194, 10, 70, 130, 190, 3, 63, 123, 183, 8, 68, 128, 188)(11, 71, 131, 191, 19, 79, 139, 199, 13, 73, 133, 193, 21, 81, 141, 201, 12, 72, 132, 192, 20, 80, 140, 200)(16, 76, 136, 196, 22, 82, 142, 202, 18, 78, 138, 198, 24, 84, 144, 204, 17, 77, 137, 197, 23, 83, 143, 203)(25, 85, 145, 205, 31, 91, 151, 211, 27, 87, 147, 207, 33, 93, 153, 213, 26, 86, 146, 206, 32, 92, 152, 212)(28, 88, 148, 208, 34, 94, 154, 214, 30, 90, 150, 210, 36, 96, 156, 216, 29, 89, 149, 209, 35, 95, 155, 215)(37, 97, 157, 217, 43, 103, 163, 223, 39, 99, 159, 219, 45, 105, 165, 225, 38, 98, 158, 218, 44, 104, 164, 224)(40, 100, 160, 220, 46, 106, 166, 226, 42, 102, 162, 222, 48, 108, 168, 228, 41, 101, 161, 221, 47, 107, 167, 227)(49, 109, 169, 229, 55, 115, 175, 235, 51, 111, 171, 231, 57, 117, 177, 237, 50, 110, 170, 230, 56, 116, 176, 236)(52, 112, 172, 232, 58, 118, 178, 238, 54, 114, 174, 234, 60, 120, 180, 240, 53, 113, 173, 233, 59, 119, 179, 239)
	L = (1, 62)(2, 61)(3, 69)(4, 71)(5, 73)(6, 74)(7, 76)(8, 78)(9, 63)(10, 77)(11, 64)(12, 75)(13, 65)(14, 66)(15, 72)(16, 67)(17, 70)(18, 68)(19, 85)(20, 87)(21, 86)(22, 88)(23, 90)(24, 89)(25, 79)(26, 81)(27, 80)(28, 82)(29, 84)(30, 83)(31, 97)(32, 99)(33, 98)(34, 100)(35, 102)(36, 101)(37, 91)(38, 93)(39, 92)(40, 94)(41, 96)(42, 95)(43, 109)(44, 111)(45, 110)(46, 112)(47, 114)(48, 113)(49, 103)(50, 105)(51, 104)(52, 106)(53, 108)(54, 107)(55, 119)(56, 118)(57, 120)(58, 116)(59, 115)(60, 117)(121, 183)(122, 186)(123, 181)(124, 192)(125, 191)(126, 182)(127, 197)(128, 196)(129, 194)(130, 198)(131, 185)(132, 184)(133, 195)(134, 189)(135, 193)(136, 188)(137, 187)(138, 190)(139, 206)(140, 205)(141, 207)(142, 209)(143, 208)(144, 210)(145, 200)(146, 199)(147, 201)(148, 203)(149, 202)(150, 204)(151, 218)(152, 217)(153, 219)(154, 221)(155, 220)(156, 222)(157, 212)(158, 211)(159, 213)(160, 215)(161, 214)(162, 216)(163, 230)(164, 229)(165, 231)(166, 233)(167, 232)(168, 234)(169, 224)(170, 223)(171, 225)(172, 227)(173, 226)(174, 228)(175, 240)(176, 239)(177, 238)(178, 237)(179, 236)(180, 235)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1608
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 120 f = 70
	degree seq :: [ 24^10 ]

E21.1614 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2^6, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
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, 15, 75, 135, 195)(9, 69, 129, 189, 17, 77, 137, 197)(10, 70, 130, 190, 18, 78, 138, 198)(11, 71, 131, 191, 19, 79, 139, 199)(13, 73, 133, 193, 21, 81, 141, 201)(14, 74, 134, 194, 22, 82, 142, 202)(16, 76, 136, 196, 23, 83, 143, 203)(20, 80, 140, 200, 27, 87, 147, 207)(24, 84, 144, 204, 31, 91, 151, 211)(25, 85, 145, 205, 32, 92, 152, 212)(26, 86, 146, 206, 33, 93, 153, 213)(28, 88, 148, 208, 34, 94, 154, 214)(29, 89, 149, 209, 35, 95, 155, 215)(30, 90, 150, 210, 36, 96, 156, 216)(37, 97, 157, 217, 43, 103, 163, 223)(38, 98, 158, 218, 44, 104, 164, 224)(39, 99, 159, 219, 45, 105, 165, 225)(40, 100, 160, 220, 46, 106, 166, 226)(41, 101, 161, 221, 47, 107, 167, 227)(42, 102, 162, 222, 48, 108, 168, 228)(49, 109, 169, 229, 55, 115, 175, 235)(50, 110, 170, 230, 56, 116, 176, 236)(51, 111, 171, 231, 57, 117, 177, 237)(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, 65)(3, 61)(4, 69)(5, 71)(6, 73)(7, 63)(8, 76)(9, 75)(10, 64)(11, 67)(12, 70)(13, 68)(14, 66)(15, 80)(16, 79)(17, 84)(18, 86)(19, 74)(20, 72)(21, 88)(22, 90)(23, 89)(24, 78)(25, 77)(26, 87)(27, 85)(28, 82)(29, 81)(30, 83)(31, 97)(32, 99)(33, 98)(34, 100)(35, 102)(36, 101)(37, 92)(38, 91)(39, 93)(40, 95)(41, 94)(42, 96)(43, 109)(44, 111)(45, 110)(46, 112)(47, 114)(48, 113)(49, 104)(50, 103)(51, 105)(52, 107)(53, 106)(54, 108)(55, 119)(56, 120)(57, 118)(58, 115)(59, 116)(60, 117)(121, 183)(122, 181)(123, 187)(124, 190)(125, 182)(126, 194)(127, 191)(128, 193)(129, 184)(130, 192)(131, 185)(132, 200)(133, 186)(134, 199)(135, 189)(136, 188)(137, 205)(138, 204)(139, 196)(140, 195)(141, 209)(142, 208)(143, 210)(144, 197)(145, 207)(146, 198)(147, 206)(148, 201)(149, 203)(150, 202)(151, 218)(152, 217)(153, 219)(154, 221)(155, 220)(156, 222)(157, 211)(158, 213)(159, 212)(160, 214)(161, 216)(162, 215)(163, 230)(164, 229)(165, 231)(166, 233)(167, 232)(168, 234)(169, 223)(170, 225)(171, 224)(172, 226)(173, 228)(174, 227)(175, 238)(176, 239)(177, 240)(178, 237)(179, 235)(180, 236)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1609
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 50
	degree seq :: [ 8^30 ]

E21.1615 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
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, R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 61, 121, 181, 3, 63, 123, 183)(2, 62, 122, 182, 6, 66, 126, 186)(4, 64, 124, 184, 9, 69, 129, 189)(5, 65, 125, 185, 12, 72, 132, 192)(7, 67, 127, 187, 16, 76, 136, 196)(8, 68, 128, 188, 17, 77, 137, 197)(10, 70, 130, 190, 15, 75, 135, 195)(11, 71, 131, 191, 19, 79, 139, 199)(13, 73, 133, 193, 21, 81, 141, 201)(14, 74, 134, 194, 22, 82, 142, 202)(18, 78, 138, 198, 26, 86, 146, 206)(20, 80, 140, 200, 27, 87, 147, 207)(23, 83, 143, 203, 31, 91, 151, 211)(24, 84, 144, 204, 32, 92, 152, 212)(25, 85, 145, 205, 33, 93, 153, 213)(28, 88, 148, 208, 34, 94, 154, 214)(29, 89, 149, 209, 35, 95, 155, 215)(30, 90, 150, 210, 36, 96, 156, 216)(37, 97, 157, 217, 43, 103, 163, 223)(38, 98, 158, 218, 44, 104, 164, 224)(39, 99, 159, 219, 45, 105, 165, 225)(40, 100, 160, 220, 46, 106, 166, 226)(41, 101, 161, 221, 47, 107, 167, 227)(42, 102, 162, 222, 48, 108, 168, 228)(49, 109, 169, 229, 55, 115, 175, 235)(50, 110, 170, 230, 56, 116, 176, 236)(51, 111, 171, 231, 57, 117, 177, 237)(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, 65)(3, 67)(4, 61)(5, 71)(6, 73)(7, 75)(8, 63)(9, 78)(10, 64)(11, 70)(12, 68)(13, 69)(14, 66)(15, 80)(16, 83)(17, 85)(18, 79)(19, 74)(20, 72)(21, 88)(22, 90)(23, 77)(24, 76)(25, 87)(26, 89)(27, 84)(28, 82)(29, 81)(30, 86)(31, 97)(32, 99)(33, 98)(34, 100)(35, 102)(36, 101)(37, 92)(38, 91)(39, 93)(40, 95)(41, 94)(42, 96)(43, 109)(44, 111)(45, 110)(46, 112)(47, 114)(48, 113)(49, 104)(50, 103)(51, 105)(52, 107)(53, 106)(54, 108)(55, 119)(56, 120)(57, 118)(58, 115)(59, 116)(60, 117)(121, 182)(122, 185)(123, 187)(124, 181)(125, 191)(126, 193)(127, 195)(128, 183)(129, 198)(130, 184)(131, 190)(132, 188)(133, 189)(134, 186)(135, 200)(136, 203)(137, 205)(138, 199)(139, 194)(140, 192)(141, 208)(142, 210)(143, 197)(144, 196)(145, 207)(146, 209)(147, 204)(148, 202)(149, 201)(150, 206)(151, 217)(152, 219)(153, 218)(154, 220)(155, 222)(156, 221)(157, 212)(158, 211)(159, 213)(160, 215)(161, 214)(162, 216)(163, 229)(164, 231)(165, 230)(166, 232)(167, 234)(168, 233)(169, 224)(170, 223)(171, 225)(172, 227)(173, 226)(174, 228)(175, 239)(176, 240)(177, 238)(178, 235)(179, 236)(180, 237)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1610
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 50
	degree seq :: [ 8^30 ]

E21.1616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 12, 72)(10, 70, 14, 74)(15, 75, 23, 83)(16, 76, 25, 85)(17, 77, 24, 84)(18, 78, 26, 86)(19, 79, 27, 87)(20, 80, 29, 89)(21, 81, 28, 88)(22, 82, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 58, 118)(56, 116, 59, 119)(57, 117, 60, 120)(121, 181, 123, 183, 128, 188, 137, 197, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 141, 201, 134, 194, 126, 186)(127, 187, 135, 195, 144, 204, 138, 198, 129, 189, 136, 196)(131, 191, 139, 199, 148, 208, 142, 202, 133, 193, 140, 200)(143, 203, 151, 211, 146, 206, 153, 213, 145, 205, 152, 212)(147, 207, 154, 214, 150, 210, 156, 216, 149, 209, 155, 215)(157, 217, 163, 223, 159, 219, 165, 225, 158, 218, 164, 224)(160, 220, 166, 226, 162, 222, 168, 228, 161, 221, 167, 227)(169, 229, 175, 235, 171, 231, 177, 237, 170, 230, 176, 236)(172, 232, 178, 238, 174, 234, 180, 240, 173, 233, 179, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
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, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^6, (Y3 * Y2^-1)^6, (Y2^-1 * Y1)^10 ]
Map::
	R = (1, 61, 2, 62)(3, 63, 7, 67)(4, 64, 9, 69)(5, 65, 11, 71)(6, 66, 13, 73)(8, 68, 14, 74)(10, 70, 12, 72)(15, 75, 23, 83)(16, 76, 24, 84)(17, 77, 25, 85)(18, 78, 26, 86)(19, 79, 27, 87)(20, 80, 28, 88)(21, 81, 29, 89)(22, 82, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 59, 119)(56, 116, 58, 118)(57, 117, 60, 120)(121, 181, 123, 183, 128, 188, 137, 197, 130, 190, 124, 184)(122, 182, 125, 185, 132, 192, 141, 201, 134, 194, 126, 186)(127, 187, 135, 195, 129, 189, 138, 198, 145, 205, 136, 196)(131, 191, 139, 199, 133, 193, 142, 202, 149, 209, 140, 200)(143, 203, 151, 211, 144, 204, 153, 213, 146, 206, 152, 212)(147, 207, 154, 214, 148, 208, 156, 216, 150, 210, 155, 215)(157, 217, 163, 223, 158, 218, 165, 225, 159, 219, 164, 224)(160, 220, 166, 226, 161, 221, 168, 228, 162, 222, 167, 227)(169, 229, 175, 235, 170, 230, 177, 237, 171, 231, 176, 236)(172, 232, 178, 238, 173, 233, 180, 240, 174, 234, 179, 239)
	L = (1, 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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 13, 73)(6, 66, 15, 75)(8, 68, 19, 79)(10, 70, 16, 76)(11, 71, 22, 82)(12, 72, 26, 86)(14, 74, 20, 80)(17, 77, 30, 90)(18, 78, 34, 94)(21, 81, 37, 97)(23, 83, 41, 101)(24, 84, 38, 98)(25, 85, 33, 93)(27, 87, 35, 95)(28, 88, 44, 104)(29, 89, 45, 105)(31, 91, 49, 109)(32, 92, 46, 106)(36, 96, 52, 112)(39, 99, 53, 113)(40, 100, 55, 115)(42, 102, 54, 114)(43, 103, 56, 116)(47, 107, 57, 117)(48, 108, 59, 119)(50, 110, 58, 118)(51, 111, 60, 120)(121, 181, 123, 183, 130, 190, 144, 204, 134, 194, 125, 185)(122, 182, 126, 186, 136, 196, 152, 212, 140, 200, 128, 188)(124, 184, 131, 191, 145, 205, 162, 222, 147, 207, 132, 192)(127, 187, 137, 197, 153, 213, 170, 230, 155, 215, 138, 198)(129, 189, 141, 201, 158, 218, 148, 208, 133, 193, 143, 203)(135, 195, 149, 209, 166, 226, 156, 216, 139, 199, 151, 211)(142, 202, 159, 219, 174, 234, 163, 223, 146, 206, 160, 220)(150, 210, 167, 227, 178, 238, 171, 231, 154, 214, 168, 228)(157, 217, 169, 229, 164, 224, 165, 225, 161, 221, 172, 232)(173, 233, 179, 239, 176, 236, 177, 237, 175, 235, 180, 240)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 132)(6, 137)(7, 122)(8, 138)(9, 142)(10, 145)(11, 123)(12, 125)(13, 146)(14, 147)(15, 150)(16, 153)(17, 126)(18, 128)(19, 154)(20, 155)(21, 159)(22, 129)(23, 160)(24, 162)(25, 130)(26, 133)(27, 134)(28, 163)(29, 167)(30, 135)(31, 168)(32, 170)(33, 136)(34, 139)(35, 140)(36, 171)(37, 173)(38, 174)(39, 141)(40, 143)(41, 175)(42, 144)(43, 148)(44, 176)(45, 177)(46, 178)(47, 149)(48, 151)(49, 179)(50, 152)(51, 156)(52, 180)(53, 157)(54, 158)(55, 161)(56, 164)(57, 165)(58, 166)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 7, 67)(5, 65, 13, 73)(6, 66, 15, 75)(8, 68, 19, 79)(10, 70, 16, 76)(11, 71, 22, 82)(12, 72, 26, 86)(14, 74, 20, 80)(17, 77, 30, 90)(18, 78, 34, 94)(21, 81, 37, 97)(23, 83, 41, 101)(24, 84, 38, 98)(25, 85, 33, 93)(27, 87, 35, 95)(28, 88, 44, 104)(29, 89, 45, 105)(31, 91, 49, 109)(32, 92, 46, 106)(36, 96, 52, 112)(39, 99, 54, 114)(40, 100, 57, 117)(42, 102, 56, 116)(43, 103, 59, 119)(47, 107, 58, 118)(48, 108, 53, 113)(50, 110, 60, 120)(51, 111, 55, 115)(121, 181, 123, 183, 130, 190, 144, 204, 134, 194, 125, 185)(122, 182, 126, 186, 136, 196, 152, 212, 140, 200, 128, 188)(124, 184, 131, 191, 145, 205, 162, 222, 147, 207, 132, 192)(127, 187, 137, 197, 153, 213, 170, 230, 155, 215, 138, 198)(129, 189, 141, 201, 158, 218, 148, 208, 133, 193, 143, 203)(135, 195, 149, 209, 166, 226, 156, 216, 139, 199, 151, 211)(142, 202, 159, 219, 176, 236, 163, 223, 146, 206, 160, 220)(150, 210, 167, 227, 180, 240, 171, 231, 154, 214, 168, 228)(157, 217, 173, 233, 164, 224, 178, 238, 161, 221, 175, 235)(165, 225, 177, 237, 172, 232, 174, 234, 169, 229, 179, 239)
	L = (1, 124)(2, 127)(3, 131)(4, 121)(5, 132)(6, 137)(7, 122)(8, 138)(9, 142)(10, 145)(11, 123)(12, 125)(13, 146)(14, 147)(15, 150)(16, 153)(17, 126)(18, 128)(19, 154)(20, 155)(21, 159)(22, 129)(23, 160)(24, 162)(25, 130)(26, 133)(27, 134)(28, 163)(29, 167)(30, 135)(31, 168)(32, 170)(33, 136)(34, 139)(35, 140)(36, 171)(37, 174)(38, 176)(39, 141)(40, 143)(41, 177)(42, 144)(43, 148)(44, 179)(45, 178)(46, 180)(47, 149)(48, 151)(49, 173)(50, 152)(51, 156)(52, 175)(53, 169)(54, 157)(55, 172)(56, 158)(57, 161)(58, 165)(59, 164)(60, 166)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
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^-1 * Y2, Y3^3, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 13, 73)(6, 66, 8, 68)(7, 67, 14, 74)(9, 69, 16, 76)(12, 72, 19, 79)(15, 75, 23, 83)(17, 77, 25, 85)(18, 78, 26, 86)(20, 80, 27, 87)(21, 81, 28, 88)(22, 82, 29, 89)(24, 84, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 59, 119)(56, 116, 58, 118)(57, 117, 60, 120)(121, 181, 123, 183, 124, 184, 132, 192, 126, 186, 125, 185)(122, 182, 127, 187, 128, 188, 135, 195, 130, 190, 129, 189)(131, 191, 137, 197, 133, 193, 140, 200, 139, 199, 138, 198)(134, 194, 141, 201, 136, 196, 144, 204, 143, 203, 142, 202)(145, 205, 151, 211, 146, 206, 153, 213, 147, 207, 152, 212)(148, 208, 154, 214, 149, 209, 156, 216, 150, 210, 155, 215)(157, 217, 163, 223, 158, 218, 165, 225, 159, 219, 164, 224)(160, 220, 166, 226, 161, 221, 168, 228, 162, 222, 167, 227)(169, 229, 175, 235, 170, 230, 177, 237, 171, 231, 176, 236)(172, 232, 178, 238, 173, 233, 180, 240, 174, 234, 179, 239)
	L = (1, 124)(2, 128)(3, 132)(4, 126)(5, 123)(6, 121)(7, 135)(8, 130)(9, 127)(10, 122)(11, 133)(12, 125)(13, 139)(14, 136)(15, 129)(16, 143)(17, 140)(18, 137)(19, 131)(20, 138)(21, 144)(22, 141)(23, 134)(24, 142)(25, 146)(26, 147)(27, 145)(28, 149)(29, 150)(30, 148)(31, 153)(32, 151)(33, 152)(34, 156)(35, 154)(36, 155)(37, 158)(38, 159)(39, 157)(40, 161)(41, 162)(42, 160)(43, 165)(44, 163)(45, 164)(46, 168)(47, 166)(48, 167)(49, 170)(50, 171)(51, 169)(52, 173)(53, 174)(54, 172)(55, 177)(56, 175)(57, 176)(58, 180)(59, 178)(60, 179)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^5, Y3 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2^2 * Y1 * Y2^-2 * Y1, Y2^6, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 22, 82)(13, 73, 32, 92)(14, 74, 24, 84)(15, 75, 30, 90)(16, 76, 26, 86)(18, 78, 39, 99)(19, 79, 29, 89)(20, 80, 25, 85)(23, 83, 36, 96)(28, 88, 40, 100)(31, 91, 49, 109)(33, 93, 50, 110)(34, 94, 45, 105)(35, 95, 44, 104)(37, 97, 48, 108)(38, 98, 54, 114)(41, 101, 46, 106)(42, 102, 51, 111)(43, 103, 56, 116)(47, 107, 55, 115)(52, 112, 60, 120)(53, 113, 58, 118)(57, 117, 59, 119)(121, 181, 123, 183, 132, 192, 153, 213, 139, 199, 125, 185)(122, 182, 127, 187, 142, 202, 163, 223, 149, 209, 129, 189)(124, 184, 134, 194, 154, 214, 173, 233, 157, 217, 136, 196)(126, 186, 133, 193, 155, 215, 172, 232, 161, 221, 138, 198)(128, 188, 144, 204, 164, 224, 178, 238, 166, 226, 146, 206)(130, 190, 143, 203, 165, 225, 177, 237, 168, 228, 148, 208)(131, 191, 151, 211, 170, 230, 158, 218, 137, 197, 145, 205)(135, 195, 141, 201, 162, 222, 176, 236, 167, 227, 147, 207)(140, 200, 156, 216, 169, 229, 179, 239, 174, 234, 160, 220)(150, 210, 152, 212, 171, 231, 180, 240, 175, 235, 159, 219)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 138)(6, 121)(7, 143)(8, 145)(9, 148)(10, 122)(11, 144)(12, 154)(13, 156)(14, 123)(15, 140)(16, 125)(17, 146)(18, 160)(19, 157)(20, 126)(21, 134)(22, 164)(23, 152)(24, 127)(25, 150)(26, 129)(27, 136)(28, 159)(29, 166)(30, 130)(31, 171)(32, 131)(33, 172)(34, 162)(35, 132)(36, 141)(37, 167)(38, 175)(39, 137)(40, 147)(41, 139)(42, 169)(43, 177)(44, 151)(45, 142)(46, 158)(47, 174)(48, 149)(49, 155)(50, 178)(51, 165)(52, 179)(53, 153)(54, 161)(55, 168)(56, 173)(57, 180)(58, 163)(59, 176)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
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, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^5, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y2^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y3^2 * Y1 * Y2 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 29, 89)(13, 73, 32, 92)(14, 74, 26, 86)(15, 75, 30, 90)(16, 76, 24, 84)(18, 78, 39, 99)(19, 79, 22, 82)(20, 80, 25, 85)(23, 83, 40, 100)(28, 88, 36, 96)(31, 91, 49, 109)(33, 93, 51, 111)(34, 94, 48, 108)(35, 95, 46, 106)(37, 97, 45, 105)(38, 98, 54, 114)(41, 101, 44, 104)(42, 102, 55, 115)(43, 103, 56, 116)(47, 107, 50, 110)(52, 112, 60, 120)(53, 113, 58, 118)(57, 117, 59, 119)(121, 181, 123, 183, 132, 192, 153, 213, 139, 199, 125, 185)(122, 182, 127, 187, 142, 202, 163, 223, 149, 209, 129, 189)(124, 184, 134, 194, 154, 214, 173, 233, 157, 217, 136, 196)(126, 186, 133, 193, 155, 215, 172, 232, 161, 221, 138, 198)(128, 188, 144, 204, 164, 224, 178, 238, 166, 226, 146, 206)(130, 190, 143, 203, 165, 225, 177, 237, 168, 228, 148, 208)(131, 191, 145, 205, 137, 197, 158, 218, 171, 231, 151, 211)(135, 195, 147, 207, 167, 227, 176, 236, 162, 222, 141, 201)(140, 200, 156, 216, 169, 229, 179, 239, 174, 234, 160, 220)(150, 210, 159, 219, 175, 235, 180, 240, 170, 230, 152, 212)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 138)(6, 121)(7, 143)(8, 145)(9, 148)(10, 122)(11, 146)(12, 154)(13, 156)(14, 123)(15, 140)(16, 125)(17, 144)(18, 160)(19, 157)(20, 126)(21, 136)(22, 164)(23, 159)(24, 127)(25, 150)(26, 129)(27, 134)(28, 152)(29, 166)(30, 130)(31, 170)(32, 131)(33, 172)(34, 167)(35, 132)(36, 147)(37, 162)(38, 175)(39, 137)(40, 141)(41, 139)(42, 174)(43, 177)(44, 158)(45, 142)(46, 151)(47, 169)(48, 149)(49, 155)(50, 168)(51, 178)(52, 179)(53, 153)(54, 161)(55, 165)(56, 173)(57, 180)(58, 163)(59, 176)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2^6, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2 * Y3^2 * Y2 * Y3^-2, Y3^-3 * Y2^2 * Y3^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 27, 87)(12, 72, 22, 82)(13, 73, 32, 92)(14, 74, 24, 84)(15, 75, 30, 90)(16, 76, 26, 86)(18, 78, 40, 100)(19, 79, 29, 89)(20, 80, 25, 85)(23, 83, 45, 105)(28, 88, 53, 113)(31, 91, 54, 114)(33, 93, 57, 117)(34, 94, 48, 108)(35, 95, 47, 107)(36, 96, 52, 112)(37, 97, 56, 116)(38, 98, 55, 115)(39, 99, 49, 109)(41, 101, 44, 104)(42, 102, 51, 111)(43, 103, 50, 110)(46, 106, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 132, 192, 153, 213, 139, 199, 125, 185)(122, 182, 127, 187, 142, 202, 166, 226, 149, 209, 129, 189)(124, 184, 134, 194, 154, 214, 178, 238, 158, 218, 136, 196)(126, 186, 133, 193, 155, 215, 176, 236, 162, 222, 138, 198)(128, 188, 144, 204, 167, 227, 180, 240, 171, 231, 146, 206)(130, 190, 143, 203, 168, 228, 163, 223, 175, 235, 148, 208)(131, 191, 151, 211, 177, 237, 159, 219, 137, 197, 145, 205)(135, 195, 141, 201, 164, 224, 179, 239, 172, 232, 147, 207)(140, 200, 156, 216, 174, 234, 150, 210, 169, 229, 161, 221)(152, 212, 173, 233, 157, 217, 165, 225, 160, 220, 170, 230)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 138)(6, 121)(7, 143)(8, 145)(9, 148)(10, 122)(11, 144)(12, 154)(13, 156)(14, 123)(15, 157)(16, 125)(17, 146)(18, 161)(19, 158)(20, 126)(21, 134)(22, 167)(23, 169)(24, 127)(25, 170)(26, 129)(27, 136)(28, 174)(29, 171)(30, 130)(31, 173)(32, 131)(33, 176)(34, 164)(35, 132)(36, 175)(37, 177)(38, 172)(39, 165)(40, 137)(41, 168)(42, 139)(43, 140)(44, 160)(45, 141)(46, 163)(47, 151)(48, 142)(49, 162)(50, 179)(51, 159)(52, 152)(53, 147)(54, 155)(55, 149)(56, 150)(57, 180)(58, 153)(59, 178)(60, 166)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 61, 2, 62)(3, 63, 11, 71)(4, 64, 10, 70)(5, 65, 17, 77)(6, 66, 8, 68)(7, 67, 21, 81)(9, 69, 24, 84)(12, 72, 16, 76)(13, 73, 27, 87)(14, 74, 19, 79)(15, 75, 26, 86)(18, 78, 30, 90)(20, 80, 23, 83)(22, 82, 33, 93)(25, 85, 36, 96)(28, 88, 39, 99)(29, 89, 38, 98)(31, 91, 42, 102)(32, 92, 35, 95)(34, 94, 45, 105)(37, 97, 48, 108)(40, 100, 51, 111)(41, 101, 50, 110)(43, 103, 54, 114)(44, 104, 47, 107)(46, 106, 56, 116)(49, 109, 59, 119)(52, 112, 57, 117)(53, 113, 58, 118)(55, 115, 60, 120)(121, 181, 123, 183, 132, 192, 128, 188, 139, 199, 125, 185)(122, 182, 127, 187, 136, 196, 124, 184, 134, 194, 129, 189)(126, 186, 133, 193, 137, 197, 143, 203, 131, 191, 138, 198)(130, 190, 142, 202, 144, 204, 135, 195, 141, 201, 145, 205)(140, 200, 148, 208, 150, 210, 155, 215, 147, 207, 151, 211)(146, 206, 154, 214, 156, 216, 149, 209, 153, 213, 157, 217)(152, 212, 160, 220, 162, 222, 167, 227, 159, 219, 163, 223)(158, 218, 166, 226, 168, 228, 161, 221, 165, 225, 169, 229)(164, 224, 172, 232, 174, 234, 178, 238, 171, 231, 175, 235)(170, 230, 177, 237, 179, 239, 173, 233, 176, 236, 180, 240)
	L = (1, 124)(2, 128)(3, 133)(4, 135)(5, 138)(6, 121)(7, 142)(8, 143)(9, 145)(10, 122)(11, 139)(12, 129)(13, 148)(14, 123)(15, 149)(16, 125)(17, 132)(18, 151)(19, 127)(20, 126)(21, 134)(22, 154)(23, 155)(24, 136)(25, 157)(26, 130)(27, 131)(28, 160)(29, 161)(30, 137)(31, 163)(32, 140)(33, 141)(34, 166)(35, 167)(36, 144)(37, 169)(38, 146)(39, 147)(40, 172)(41, 173)(42, 150)(43, 175)(44, 152)(45, 153)(46, 177)(47, 178)(48, 156)(49, 180)(50, 158)(51, 159)(52, 176)(53, 164)(54, 162)(55, 179)(56, 165)(57, 171)(58, 170)(59, 168)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1, (Y2^-1 * Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-3, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y2^6, (Y3^2 * Y2^-1)^2, (Y2^2 * Y1)^2, Y1 * Y2 * Y1 * Y3^-3 * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 ]
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, 23, 83)(9, 69, 30, 90)(12, 72, 32, 92)(13, 73, 36, 96)(14, 74, 29, 89)(15, 75, 27, 87)(16, 76, 34, 94)(17, 77, 26, 86)(19, 79, 46, 106)(20, 80, 24, 84)(21, 81, 48, 108)(22, 82, 28, 88)(25, 85, 47, 107)(31, 91, 40, 100)(33, 93, 49, 109)(35, 95, 44, 104)(37, 97, 56, 116)(38, 98, 54, 114)(39, 99, 55, 115)(41, 101, 52, 112)(42, 102, 53, 113)(43, 103, 51, 111)(45, 105, 60, 120)(50, 110, 57, 117)(58, 118, 59, 119)(121, 181, 123, 183, 132, 192, 157, 217, 140, 200, 125, 185)(122, 182, 127, 187, 144, 204, 171, 231, 152, 212, 129, 189)(124, 184, 135, 195, 158, 218, 134, 194, 162, 222, 137, 197)(126, 186, 141, 201, 159, 219, 139, 199, 161, 221, 133, 193)(128, 188, 147, 207, 172, 232, 146, 206, 175, 235, 149, 209)(130, 190, 153, 213, 173, 233, 151, 211, 174, 234, 145, 205)(131, 191, 155, 215, 138, 198, 165, 225, 176, 236, 148, 208)(136, 196, 143, 203, 170, 230, 150, 210, 178, 238, 163, 223)(142, 202, 167, 227, 180, 240, 160, 220, 164, 224, 169, 229)(154, 214, 156, 216, 179, 239, 166, 226, 177, 237, 168, 228)
	L = (1, 124)(2, 128)(3, 133)(4, 136)(5, 139)(6, 121)(7, 145)(8, 148)(9, 151)(10, 122)(11, 149)(12, 158)(13, 160)(14, 123)(15, 125)(16, 164)(17, 157)(18, 147)(19, 167)(20, 162)(21, 169)(22, 126)(23, 137)(24, 172)(25, 166)(26, 127)(27, 129)(28, 177)(29, 171)(30, 135)(31, 156)(32, 175)(33, 168)(34, 130)(35, 154)(36, 131)(37, 141)(38, 170)(39, 132)(40, 150)(41, 140)(42, 178)(43, 134)(44, 161)(45, 179)(46, 138)(47, 143)(48, 176)(49, 163)(50, 142)(51, 153)(52, 155)(53, 144)(54, 152)(55, 165)(56, 146)(57, 174)(58, 180)(59, 173)(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) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 4^30, 12^10 ]

E21.1626 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x C6 x D10 (small group id <120, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2^6, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 61, 4, 64)(2, 62, 6, 66)(3, 63, 8, 68)(5, 65, 12, 72)(7, 67, 15, 75)(9, 69, 17, 77)(10, 70, 18, 78)(11, 71, 19, 79)(13, 73, 21, 81)(14, 74, 22, 82)(16, 76, 23, 83)(20, 80, 27, 87)(24, 84, 31, 91)(25, 85, 32, 92)(26, 86, 33, 93)(28, 88, 34, 94)(29, 89, 35, 95)(30, 90, 36, 96)(37, 97, 43, 103)(38, 98, 44, 104)(39, 99, 45, 105)(40, 100, 46, 106)(41, 101, 47, 107)(42, 102, 48, 108)(49, 109, 55, 115)(50, 110, 56, 116)(51, 111, 57, 117)(52, 112, 58, 118)(53, 113, 59, 119)(54, 114, 60, 120)(121, 122, 125, 131, 127, 123)(124, 129, 132, 140, 135, 130)(126, 133, 139, 136, 128, 134)(137, 144, 147, 146, 138, 145)(141, 148, 143, 150, 142, 149)(151, 157, 153, 159, 152, 158)(154, 160, 156, 162, 155, 161)(163, 169, 165, 171, 164, 170)(166, 172, 168, 174, 167, 173)(175, 178, 177, 180, 176, 179)(181, 183, 187, 191, 185, 182)(184, 190, 195, 200, 192, 189)(186, 194, 188, 196, 199, 193)(197, 205, 198, 206, 207, 204)(201, 209, 202, 210, 203, 208)(211, 218, 212, 219, 213, 217)(214, 221, 215, 222, 216, 220)(223, 230, 224, 231, 225, 229)(226, 233, 227, 234, 228, 232)(235, 239, 236, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1627
Graph:: simple bipartite
	v = 50 e = 120 f = 30
	degree seq :: [ 4^30, 6^20 ]

E21.1627 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x C6 x D10 (small group id <120, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2^6, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
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, 15, 75, 135, 195)(9, 69, 129, 189, 17, 77, 137, 197)(10, 70, 130, 190, 18, 78, 138, 198)(11, 71, 131, 191, 19, 79, 139, 199)(13, 73, 133, 193, 21, 81, 141, 201)(14, 74, 134, 194, 22, 82, 142, 202)(16, 76, 136, 196, 23, 83, 143, 203)(20, 80, 140, 200, 27, 87, 147, 207)(24, 84, 144, 204, 31, 91, 151, 211)(25, 85, 145, 205, 32, 92, 152, 212)(26, 86, 146, 206, 33, 93, 153, 213)(28, 88, 148, 208, 34, 94, 154, 214)(29, 89, 149, 209, 35, 95, 155, 215)(30, 90, 150, 210, 36, 96, 156, 216)(37, 97, 157, 217, 43, 103, 163, 223)(38, 98, 158, 218, 44, 104, 164, 224)(39, 99, 159, 219, 45, 105, 165, 225)(40, 100, 160, 220, 46, 106, 166, 226)(41, 101, 161, 221, 47, 107, 167, 227)(42, 102, 162, 222, 48, 108, 168, 228)(49, 109, 169, 229, 55, 115, 175, 235)(50, 110, 170, 230, 56, 116, 176, 236)(51, 111, 171, 231, 57, 117, 177, 237)(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, 65)(3, 61)(4, 69)(5, 71)(6, 73)(7, 63)(8, 74)(9, 72)(10, 64)(11, 67)(12, 80)(13, 79)(14, 66)(15, 70)(16, 68)(17, 84)(18, 85)(19, 76)(20, 75)(21, 88)(22, 89)(23, 90)(24, 87)(25, 77)(26, 78)(27, 86)(28, 83)(29, 81)(30, 82)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 93)(38, 91)(39, 92)(40, 96)(41, 94)(42, 95)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 105)(50, 103)(51, 104)(52, 108)(53, 106)(54, 107)(55, 118)(56, 119)(57, 120)(58, 117)(59, 115)(60, 116)(121, 183)(122, 181)(123, 187)(124, 190)(125, 182)(126, 194)(127, 191)(128, 196)(129, 184)(130, 195)(131, 185)(132, 189)(133, 186)(134, 188)(135, 200)(136, 199)(137, 205)(138, 206)(139, 193)(140, 192)(141, 209)(142, 210)(143, 208)(144, 197)(145, 198)(146, 207)(147, 204)(148, 201)(149, 202)(150, 203)(151, 218)(152, 219)(153, 217)(154, 221)(155, 222)(156, 220)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)(163, 230)(164, 231)(165, 229)(166, 233)(167, 234)(168, 232)(169, 223)(170, 224)(171, 225)(172, 226)(173, 227)(174, 228)(175, 239)(176, 240)(177, 238)(178, 235)(179, 236)(180, 237)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.1626
Transitivity :: VT+
Graph:: bipartite
	v = 30 e = 120 f = 50
	degree seq :: [ 8^30 ]

E21.1628 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X2^-1 * X1^-2 * X2^-3, X1^6, X1^-2 * X2 * X1^2 * X2^-1, X1 * X2 * X1^-1 * X2^-1 * X1 * X2^2, X2 * X1^-2 * X2^3 * X1^-2, (X1 * X2^-1)^4 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 19, 45, 33, 11)(5, 15, 20, 46, 30, 16)(7, 21, 43, 36, 12, 23)(8, 24, 44, 37, 14, 25)(10, 29, 17, 42, 47, 31)(22, 28, 26, 51, 35, 34)(27, 38, 59, 50, 32, 40)(39, 57, 58, 49, 41, 48)(52, 54, 53, 60, 56, 55)(61, 63, 70, 90, 73, 93, 107, 80, 66, 79, 77, 65)(62, 67, 82, 74, 64, 72, 95, 104, 78, 103, 86, 68)(69, 87, 112, 94, 71, 92, 116, 111, 105, 119, 113, 88)(75, 98, 85, 101, 76, 100, 97, 118, 106, 110, 84, 99)(81, 108, 114, 89, 83, 109, 115, 91, 96, 117, 120, 102)
	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) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: chiral
Dual of E21.1629
Transitivity :: ET+
Graph:: bipartite
	v = 15 e = 60 f = 5
	degree seq :: [ 6^10, 12^5 ]

E21.1629 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C5 : C4) (small group id <60, 6>)
Aut   = C3 x (C5 : C4) (small group id <60, 6>)
|r| :: 1
Presentation :: [ X2 * X1^-2 * X2^2 * X1^-1, X2 * X1^2 * X2^-2 * X1^-1, X2^-1 * X1^-1 * X2^-1 * X1^3, X2 * X1 * X2 * X1^9, X2^12 ]
Map:: non-degenerate
	R = (1, 61, 2, 62, 6, 66, 18, 78, 34, 94, 46, 106, 56, 116, 51, 111, 41, 101, 29, 89, 13, 73, 4, 64)(3, 63, 9, 69, 22, 82, 39, 99, 47, 107, 58, 118, 54, 114, 45, 105, 31, 91, 14, 74, 26, 86, 11, 71)(5, 65, 15, 75, 23, 83, 7, 67, 21, 81, 37, 97, 50, 110, 57, 117, 52, 112, 44, 104, 33, 93, 16, 76)(8, 68, 24, 84, 38, 98, 19, 79, 36, 96, 49, 109, 60, 120, 53, 113, 42, 102, 32, 92, 40, 100, 25, 85)(10, 70, 27, 87, 35, 95, 48, 108, 59, 119, 55, 115, 43, 103, 30, 90, 17, 77, 28, 88, 12, 72, 20, 80)
	L = (1, 63)(2, 67)(3, 70)(4, 72)(5, 61)(6, 79)(7, 82)(8, 62)(9, 78)(10, 81)(11, 83)(12, 84)(13, 85)(14, 64)(15, 80)(16, 86)(17, 65)(18, 95)(19, 97)(20, 66)(21, 94)(22, 96)(23, 98)(24, 69)(25, 75)(26, 68)(27, 99)(28, 71)(29, 76)(30, 73)(31, 77)(32, 74)(33, 100)(34, 107)(35, 109)(36, 106)(37, 108)(38, 87)(39, 110)(40, 88)(41, 91)(42, 89)(43, 92)(44, 90)(45, 93)(46, 117)(47, 119)(48, 116)(49, 118)(50, 120)(51, 103)(52, 101)(53, 104)(54, 102)(55, 105)(56, 113)(57, 114)(58, 111)(59, 112)(60, 115)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: chiral
Dual of E21.1628
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 60 f = 15
	degree seq :: [ 24^5 ]

E21.1630 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 20, 30})
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, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^3 * T1^-1, T2^20 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 48, 54, 60, 52, 36, 18, 6, 17, 35, 51, 59, 53, 50, 34, 16, 5)(2, 7, 20, 39, 55, 46, 57, 45, 31, 13, 4, 12, 28, 49, 58, 47, 56, 44, 24, 8)(9, 25, 42, 22, 38, 19, 37, 33, 15, 30, 11, 29, 43, 23, 41, 21, 40, 32, 14, 26)(61, 62, 66, 64)(63, 69, 77, 71)(65, 74, 78, 75)(67, 79, 72, 81)(68, 82, 73, 83)(70, 80, 95, 88)(76, 84, 96, 91)(85, 105, 89, 104)(86, 106, 90, 107)(87, 102, 111, 103)(92, 99, 93, 109)(94, 100, 112, 97)(98, 113, 101, 114)(108, 115, 119, 118)(110, 116, 120, 117)
	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) :: { ( 60^4 ), ( 60^20 ) }
Outer automorphisms :: reflexible
Dual of E21.1634
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 60 f = 2
	degree seq :: [ 4^15, 20^3 ]

E21.1631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 20, 30})
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, T1^2 * T2^-3, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^4, T1^20 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 43, 40, 59, 30, 56, 48, 22, 47, 45, 20, 44, 33, 57, 52, 24, 51, 50, 23, 49, 60, 46, 32, 13, 17, 5)(2, 7, 21, 18, 41, 39, 58, 29, 11, 28, 26, 9, 25, 53, 42, 38, 16, 37, 36, 15, 35, 55, 27, 54, 31, 34, 14, 4, 12, 8)(61, 62, 66, 78, 100, 118, 116, 88, 107, 85, 104, 98, 112, 96, 110, 115, 120, 91, 73, 64)(63, 69, 79, 102, 119, 97, 108, 95, 105, 114, 93, 74, 84, 68, 83, 81, 106, 99, 77, 71)(65, 75, 70, 87, 103, 94, 90, 72, 82, 67, 80, 101, 117, 89, 111, 86, 109, 113, 92, 76)
	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) :: { ( 8^20 ), ( 8^30 ) }
Outer automorphisms :: reflexible
Dual of E21.1635
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 15
	degree seq :: [ 20^3, 30^2 ]

E21.1632 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 20, 30})
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, T2^4, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^4 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 41, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 53, 36)(17, 38, 56, 33)(20, 35, 23, 44)(22, 45, 24, 47)(25, 49, 39, 50)(30, 54, 40, 55)(32, 51, 37, 52)(42, 57, 43, 58)(46, 59, 48, 60)(61, 62, 66, 77, 89, 105, 117, 109, 115, 120, 112, 87, 104, 113, 88, 70, 81, 101, 116, 91, 107, 118, 110, 114, 119, 111, 86, 95, 73, 64)(63, 69, 85, 98, 74, 97, 103, 79, 94, 106, 82, 67, 80, 100, 76, 65, 75, 99, 93, 72, 92, 102, 78, 96, 108, 84, 68, 83, 90, 71)
	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) :: { ( 40^4 ), ( 40^30 ) }
Outer automorphisms :: reflexible
Dual of E21.1633
Transitivity :: ET+
Graph:: bipartite
	v = 17 e = 60 f = 3
	degree seq :: [ 4^15, 30^2 ]

E21.1633 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 20, 30})
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, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^3 * T1^-1, T2^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 27, 87, 48, 108, 54, 114, 60, 120, 52, 112, 36, 96, 18, 78, 6, 66, 17, 77, 35, 95, 51, 111, 59, 119, 53, 113, 50, 110, 34, 94, 16, 76, 5, 65)(2, 62, 7, 67, 20, 80, 39, 99, 55, 115, 46, 106, 57, 117, 45, 105, 31, 91, 13, 73, 4, 64, 12, 72, 28, 88, 49, 109, 58, 118, 47, 107, 56, 116, 44, 104, 24, 84, 8, 68)(9, 69, 25, 85, 42, 102, 22, 82, 38, 98, 19, 79, 37, 97, 33, 93, 15, 75, 30, 90, 11, 71, 29, 89, 43, 103, 23, 83, 41, 101, 21, 81, 40, 100, 32, 92, 14, 74, 26, 86)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 74)(6, 64)(7, 79)(8, 82)(9, 77)(10, 80)(11, 63)(12, 81)(13, 83)(14, 78)(15, 65)(16, 84)(17, 71)(18, 75)(19, 72)(20, 95)(21, 67)(22, 73)(23, 68)(24, 96)(25, 105)(26, 106)(27, 102)(28, 70)(29, 104)(30, 107)(31, 76)(32, 99)(33, 109)(34, 100)(35, 88)(36, 91)(37, 94)(38, 113)(39, 93)(40, 112)(41, 114)(42, 111)(43, 87)(44, 85)(45, 89)(46, 90)(47, 86)(48, 115)(49, 92)(50, 116)(51, 103)(52, 97)(53, 101)(54, 98)(55, 119)(56, 120)(57, 110)(58, 108)(59, 118)(60, 117)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E21.1632
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 17
	degree seq :: [ 40^3 ]

E21.1634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 20, 30})
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, T1^2 * T2^-3, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1^-1)^4, T1^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 6, 66, 19, 79, 43, 103, 40, 100, 59, 119, 30, 90, 56, 116, 48, 108, 22, 82, 47, 107, 45, 105, 20, 80, 44, 104, 33, 93, 57, 117, 52, 112, 24, 84, 51, 111, 50, 110, 23, 83, 49, 109, 60, 120, 46, 106, 32, 92, 13, 73, 17, 77, 5, 65)(2, 62, 7, 67, 21, 81, 18, 78, 41, 101, 39, 99, 58, 118, 29, 89, 11, 71, 28, 88, 26, 86, 9, 69, 25, 85, 53, 113, 42, 102, 38, 98, 16, 76, 37, 97, 36, 96, 15, 75, 35, 95, 55, 115, 27, 87, 54, 114, 31, 91, 34, 94, 14, 74, 4, 64, 12, 72, 8, 68)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 78)(7, 80)(8, 83)(9, 79)(10, 87)(11, 63)(12, 82)(13, 64)(14, 84)(15, 70)(16, 65)(17, 71)(18, 100)(19, 102)(20, 101)(21, 106)(22, 67)(23, 81)(24, 68)(25, 104)(26, 109)(27, 103)(28, 107)(29, 111)(30, 72)(31, 73)(32, 76)(33, 74)(34, 90)(35, 105)(36, 110)(37, 108)(38, 112)(39, 77)(40, 118)(41, 117)(42, 119)(43, 94)(44, 98)(45, 114)(46, 99)(47, 85)(48, 95)(49, 113)(50, 115)(51, 86)(52, 96)(53, 92)(54, 93)(55, 120)(56, 88)(57, 89)(58, 116)(59, 97)(60, 91)
	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 E21.1630
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 18
	degree seq :: [ 60^2 ]

E21.1635 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 20, 30})
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, T2^4, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^4 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 5, 65)(2, 62, 7, 67, 21, 81, 8, 68)(4, 64, 12, 72, 28, 88, 14, 74)(6, 66, 18, 78, 41, 101, 19, 79)(9, 69, 26, 86, 15, 75, 27, 87)(11, 71, 29, 89, 16, 76, 31, 91)(13, 73, 34, 94, 53, 113, 36, 96)(17, 77, 38, 98, 56, 116, 33, 93)(20, 80, 35, 95, 23, 83, 44, 104)(22, 82, 45, 105, 24, 84, 47, 107)(25, 85, 49, 109, 39, 99, 50, 110)(30, 90, 54, 114, 40, 100, 55, 115)(32, 92, 51, 111, 37, 97, 52, 112)(42, 102, 57, 117, 43, 103, 58, 118)(46, 106, 59, 119, 48, 108, 60, 120)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 75)(6, 77)(7, 80)(8, 83)(9, 85)(10, 81)(11, 63)(12, 92)(13, 64)(14, 97)(15, 99)(16, 65)(17, 89)(18, 96)(19, 94)(20, 100)(21, 101)(22, 67)(23, 90)(24, 68)(25, 98)(26, 95)(27, 104)(28, 70)(29, 105)(30, 71)(31, 107)(32, 102)(33, 72)(34, 106)(35, 73)(36, 108)(37, 103)(38, 74)(39, 93)(40, 76)(41, 116)(42, 78)(43, 79)(44, 113)(45, 117)(46, 82)(47, 118)(48, 84)(49, 115)(50, 114)(51, 86)(52, 87)(53, 88)(54, 119)(55, 120)(56, 91)(57, 109)(58, 110)(59, 111)(60, 112)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E21.1631
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 60 f = 5
	degree seq :: [ 8^15 ]

E21.1636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 30})
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^-1 * Y3^-1, Y3^-1 * Y1^-1, Y3^-2 * Y1^2, Y1^4, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^2 * Y2^-1 * Y1, Y1^-2 * Y2 * Y3 * Y1^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2^3 * Y1^-1 * Y2 * Y1^-1, Y2^20, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 9, 69, 17, 77, 11, 71)(5, 65, 14, 74, 18, 78, 15, 75)(7, 67, 19, 79, 12, 72, 21, 81)(8, 68, 22, 82, 13, 73, 23, 83)(10, 70, 20, 80, 35, 95, 28, 88)(16, 76, 24, 84, 36, 96, 31, 91)(25, 85, 45, 105, 29, 89, 44, 104)(26, 86, 46, 106, 30, 90, 47, 107)(27, 87, 42, 102, 51, 111, 43, 103)(32, 92, 39, 99, 33, 93, 49, 109)(34, 94, 40, 100, 52, 112, 37, 97)(38, 98, 53, 113, 41, 101, 54, 114)(48, 108, 55, 115, 59, 119, 58, 118)(50, 110, 56, 116, 60, 120, 57, 117)(121, 181, 123, 183, 130, 190, 147, 207, 168, 228, 174, 234, 180, 240, 172, 232, 156, 216, 138, 198, 126, 186, 137, 197, 155, 215, 171, 231, 179, 239, 173, 233, 170, 230, 154, 214, 136, 196, 125, 185)(122, 182, 127, 187, 140, 200, 159, 219, 175, 235, 166, 226, 177, 237, 165, 225, 151, 211, 133, 193, 124, 184, 132, 192, 148, 208, 169, 229, 178, 238, 167, 227, 176, 236, 164, 224, 144, 204, 128, 188)(129, 189, 145, 205, 162, 222, 142, 202, 158, 218, 139, 199, 157, 217, 153, 213, 135, 195, 150, 210, 131, 191, 149, 209, 163, 223, 143, 203, 161, 221, 141, 201, 160, 220, 152, 212, 134, 194, 146, 206)
	L = (1, 124)(2, 121)(3, 131)(4, 126)(5, 135)(6, 122)(7, 141)(8, 143)(9, 123)(10, 148)(11, 137)(12, 139)(13, 142)(14, 125)(15, 138)(16, 151)(17, 129)(18, 134)(19, 127)(20, 130)(21, 132)(22, 128)(23, 133)(24, 136)(25, 164)(26, 167)(27, 163)(28, 155)(29, 165)(30, 166)(31, 156)(32, 169)(33, 159)(34, 157)(35, 140)(36, 144)(37, 172)(38, 174)(39, 152)(40, 154)(41, 173)(42, 147)(43, 171)(44, 149)(45, 145)(46, 146)(47, 150)(48, 178)(49, 153)(50, 177)(51, 162)(52, 160)(53, 158)(54, 161)(55, 168)(56, 170)(57, 180)(58, 179)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.1639
Graph:: bipartite
	v = 18 e = 120 f = 62
	degree seq :: [ 8^15, 40^3 ]

E21.1637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 30})
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, Y1 * Y2^-3 * Y1, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2^2, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y1^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 40, 100, 58, 118, 56, 116, 28, 88, 47, 107, 25, 85, 44, 104, 38, 98, 52, 112, 36, 96, 50, 110, 55, 115, 60, 120, 31, 91, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 42, 102, 59, 119, 37, 97, 48, 108, 35, 95, 45, 105, 54, 114, 33, 93, 14, 74, 24, 84, 8, 68, 23, 83, 21, 81, 46, 106, 39, 99, 17, 77, 11, 71)(5, 65, 15, 75, 10, 70, 27, 87, 43, 103, 34, 94, 30, 90, 12, 72, 22, 82, 7, 67, 20, 80, 41, 101, 57, 117, 29, 89, 51, 111, 26, 86, 49, 109, 53, 113, 32, 92, 16, 76)(121, 181, 123, 183, 130, 190, 126, 186, 139, 199, 163, 223, 160, 220, 179, 239, 150, 210, 176, 236, 168, 228, 142, 202, 167, 227, 165, 225, 140, 200, 164, 224, 153, 213, 177, 237, 172, 232, 144, 204, 171, 231, 170, 230, 143, 203, 169, 229, 180, 240, 166, 226, 152, 212, 133, 193, 137, 197, 125, 185)(122, 182, 127, 187, 141, 201, 138, 198, 161, 221, 159, 219, 178, 238, 149, 209, 131, 191, 148, 208, 146, 206, 129, 189, 145, 205, 173, 233, 162, 222, 158, 218, 136, 196, 157, 217, 156, 216, 135, 195, 155, 215, 175, 235, 147, 207, 174, 234, 151, 211, 154, 214, 134, 194, 124, 184, 132, 192, 128, 188)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 139)(7, 141)(8, 122)(9, 145)(10, 126)(11, 148)(12, 128)(13, 137)(14, 124)(15, 155)(16, 157)(17, 125)(18, 161)(19, 163)(20, 164)(21, 138)(22, 167)(23, 169)(24, 171)(25, 173)(26, 129)(27, 174)(28, 146)(29, 131)(30, 176)(31, 154)(32, 133)(33, 177)(34, 134)(35, 175)(36, 135)(37, 156)(38, 136)(39, 178)(40, 179)(41, 159)(42, 158)(43, 160)(44, 153)(45, 140)(46, 152)(47, 165)(48, 142)(49, 180)(50, 143)(51, 170)(52, 144)(53, 162)(54, 151)(55, 147)(56, 168)(57, 172)(58, 149)(59, 150)(60, 166)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E21.1638
Graph:: bipartite
	v = 5 e = 120 f = 75
	degree seq :: [ 40^3, 60^2 ]

E21.1638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 30})
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, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y2^-1 * Y3^-4 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-2 * Y2^-1, (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, 124, 184)(123, 183, 129, 189, 137, 197, 131, 191)(125, 185, 134, 194, 138, 198, 135, 195)(127, 187, 139, 199, 132, 192, 141, 201)(128, 188, 142, 202, 133, 193, 143, 203)(130, 190, 147, 207, 161, 221, 149, 209)(136, 196, 158, 218, 162, 222, 159, 219)(140, 200, 164, 224, 152, 212, 165, 225)(144, 204, 171, 231, 153, 213, 172, 232)(145, 205, 160, 220, 150, 210, 166, 226)(146, 206, 168, 228, 151, 211, 169, 229)(148, 208, 157, 217, 170, 230, 155, 215)(154, 214, 163, 223, 156, 216, 167, 227)(173, 233, 177, 237, 176, 236, 180, 240)(174, 234, 178, 238, 175, 235, 179, 239)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 137)(7, 140)(8, 122)(9, 145)(10, 148)(11, 150)(12, 152)(13, 124)(14, 154)(15, 156)(16, 125)(17, 161)(18, 126)(19, 160)(20, 157)(21, 166)(22, 168)(23, 169)(24, 128)(25, 153)(26, 129)(27, 159)(28, 142)(29, 158)(30, 144)(31, 131)(32, 155)(33, 133)(34, 174)(35, 134)(36, 175)(37, 135)(38, 173)(39, 176)(40, 136)(41, 170)(42, 138)(43, 139)(44, 172)(45, 171)(46, 162)(47, 141)(48, 178)(49, 179)(50, 143)(51, 177)(52, 180)(53, 146)(54, 147)(55, 149)(56, 151)(57, 163)(58, 164)(59, 165)(60, 167)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 60 ), ( 40, 60, 40, 60, 40, 60, 40, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.1637
Graph:: simple bipartite
	v = 75 e = 120 f = 5
	degree seq :: [ 2^60, 8^15 ]

E21.1639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 30})
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, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^3 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^4, Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y1^-2 * 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 17, 77, 29, 89, 45, 105, 57, 117, 49, 109, 55, 115, 60, 120, 52, 112, 27, 87, 44, 104, 53, 113, 28, 88, 10, 70, 21, 81, 41, 101, 56, 116, 31, 91, 47, 107, 58, 118, 50, 110, 54, 114, 59, 119, 51, 111, 26, 86, 35, 95, 13, 73, 4, 64)(3, 63, 9, 69, 25, 85, 38, 98, 14, 74, 37, 97, 43, 103, 19, 79, 34, 94, 46, 106, 22, 82, 7, 67, 20, 80, 40, 100, 16, 76, 5, 65, 15, 75, 39, 99, 33, 93, 12, 72, 32, 92, 42, 102, 18, 78, 36, 96, 48, 108, 24, 84, 8, 68, 23, 83, 30, 90, 11, 71)(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, 138)(7, 141)(8, 122)(9, 146)(10, 125)(11, 149)(12, 148)(13, 154)(14, 124)(15, 147)(16, 151)(17, 158)(18, 161)(19, 126)(20, 155)(21, 128)(22, 165)(23, 164)(24, 167)(25, 169)(26, 135)(27, 129)(28, 134)(29, 136)(30, 174)(31, 131)(32, 171)(33, 137)(34, 173)(35, 143)(36, 133)(37, 172)(38, 176)(39, 170)(40, 175)(41, 139)(42, 177)(43, 178)(44, 140)(45, 144)(46, 179)(47, 142)(48, 180)(49, 159)(50, 145)(51, 157)(52, 152)(53, 156)(54, 160)(55, 150)(56, 153)(57, 163)(58, 162)(59, 168)(60, 166)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 40 ), ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E21.1636
Graph:: simple bipartite
	v = 62 e = 120 f = 18
	degree seq :: [ 2^60, 60^2 ]

E21.1640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 30})
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 * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y2^-4, Y2 * Y1 * Y2^-3 * Y3 * Y2^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1 * R * Y2^-2)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-2 * Y1^-1 * Y2^-1 * Y3 * Y2, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 9, 69, 17, 77, 11, 71)(5, 65, 14, 74, 18, 78, 15, 75)(7, 67, 19, 79, 12, 72, 21, 81)(8, 68, 22, 82, 13, 73, 23, 83)(10, 70, 27, 87, 41, 101, 29, 89)(16, 76, 38, 98, 42, 102, 39, 99)(20, 80, 44, 104, 32, 92, 45, 105)(24, 84, 51, 111, 33, 93, 52, 112)(25, 85, 40, 100, 30, 90, 46, 106)(26, 86, 48, 108, 31, 91, 49, 109)(28, 88, 37, 97, 50, 110, 35, 95)(34, 94, 43, 103, 36, 96, 47, 107)(53, 113, 57, 117, 56, 116, 60, 120)(54, 114, 58, 118, 55, 115, 59, 119)(121, 181, 123, 183, 130, 190, 148, 208, 142, 202, 168, 228, 178, 238, 164, 224, 172, 232, 180, 240, 167, 227, 141, 201, 166, 226, 162, 222, 138, 198, 126, 186, 137, 197, 161, 221, 170, 230, 143, 203, 169, 229, 179, 239, 165, 225, 171, 231, 177, 237, 163, 223, 139, 199, 160, 220, 136, 196, 125, 185)(122, 182, 127, 187, 140, 200, 157, 217, 135, 195, 156, 216, 175, 235, 149, 209, 158, 218, 173, 233, 146, 206, 129, 189, 145, 205, 153, 213, 133, 193, 124, 184, 132, 192, 152, 212, 155, 215, 134, 194, 154, 214, 174, 234, 147, 207, 159, 219, 176, 236, 151, 211, 131, 191, 150, 210, 144, 204, 128, 188)
	L = (1, 124)(2, 121)(3, 131)(4, 126)(5, 135)(6, 122)(7, 141)(8, 143)(9, 123)(10, 149)(11, 137)(12, 139)(13, 142)(14, 125)(15, 138)(16, 159)(17, 129)(18, 134)(19, 127)(20, 165)(21, 132)(22, 128)(23, 133)(24, 172)(25, 166)(26, 169)(27, 130)(28, 155)(29, 161)(30, 160)(31, 168)(32, 164)(33, 171)(34, 167)(35, 170)(36, 163)(37, 148)(38, 136)(39, 162)(40, 145)(41, 147)(42, 158)(43, 154)(44, 140)(45, 152)(46, 150)(47, 156)(48, 146)(49, 151)(50, 157)(51, 144)(52, 153)(53, 180)(54, 179)(55, 178)(56, 177)(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, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E21.1641
Graph:: bipartite
	v = 17 e = 120 f = 63
	degree seq :: [ 8^15, 60^2 ]

E21.1641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 30})
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, Y3^2 * Y1^-2 * Y3, Y1^2 * Y3^-1 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^4, Y1^20, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 18, 78, 40, 100, 58, 118, 56, 116, 28, 88, 47, 107, 25, 85, 44, 104, 38, 98, 52, 112, 36, 96, 50, 110, 55, 115, 60, 120, 31, 91, 13, 73, 4, 64)(3, 63, 9, 69, 19, 79, 42, 102, 59, 119, 37, 97, 48, 108, 35, 95, 45, 105, 54, 114, 33, 93, 14, 74, 24, 84, 8, 68, 23, 83, 21, 81, 46, 106, 39, 99, 17, 77, 11, 71)(5, 65, 15, 75, 10, 70, 27, 87, 43, 103, 34, 94, 30, 90, 12, 72, 22, 82, 7, 67, 20, 80, 41, 101, 57, 117, 29, 89, 51, 111, 26, 86, 49, 109, 53, 113, 32, 92, 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, 141)(8, 122)(9, 145)(10, 126)(11, 148)(12, 128)(13, 137)(14, 124)(15, 155)(16, 157)(17, 125)(18, 161)(19, 163)(20, 164)(21, 138)(22, 167)(23, 169)(24, 171)(25, 173)(26, 129)(27, 174)(28, 146)(29, 131)(30, 176)(31, 154)(32, 133)(33, 177)(34, 134)(35, 175)(36, 135)(37, 156)(38, 136)(39, 178)(40, 179)(41, 159)(42, 158)(43, 160)(44, 153)(45, 140)(46, 152)(47, 165)(48, 142)(49, 180)(50, 143)(51, 170)(52, 144)(53, 162)(54, 151)(55, 147)(56, 168)(57, 172)(58, 149)(59, 150)(60, 166)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 60 ), ( 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.1640
Graph:: simple bipartite
	v = 63 e = 120 f = 17
	degree seq :: [ 2^60, 40^3 ]

E21.1642 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (T2^-1, T1^-1), T2^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 56, 48, 40, 32, 24, 16, 8)(4, 10, 18, 26, 34, 42, 50, 57, 58, 51, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 53, 59, 60, 54, 46, 38, 30, 22, 14)(61, 62, 66, 64)(63, 67, 73, 70)(65, 68, 74, 71)(69, 75, 81, 78)(72, 76, 82, 79)(77, 83, 89, 86)(80, 84, 90, 87)(85, 91, 97, 94)(88, 92, 98, 95)(93, 99, 105, 102)(96, 100, 106, 103)(101, 107, 113, 110)(104, 108, 114, 111)(109, 115, 119, 117)(112, 116, 120, 118)
	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) :: { ( 120^4 ), ( 120^15 ) }
Outer automorphisms :: reflexible
Dual of E21.1646
Transitivity :: ET+
Graph:: simple bipartite
	v = 19 e = 60 f = 1
	degree seq :: [ 4^15, 15^4 ]

E21.1643 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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 * T2^4, T2^12 * T1^-3, T1^5 * T2^-1 * T1 * T2^-7 * T1, T1^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 57, 53, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 58, 54, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 59, 55, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 60, 56, 47, 38, 26, 25, 13, 5)(61, 62, 66, 74, 86, 97, 105, 113, 120, 111, 102, 93, 82, 71, 64)(63, 67, 75, 87, 85, 92, 100, 108, 116, 119, 110, 101, 96, 81, 70)(65, 68, 76, 88, 98, 106, 114, 117, 112, 103, 94, 79, 91, 83, 72)(69, 77, 89, 84, 73, 78, 90, 99, 107, 115, 118, 109, 104, 95, 80)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 8^15 ), ( 8^60 ) }
Outer automorphisms :: reflexible
Dual of E21.1647
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 60 f = 15
	degree seq :: [ 15^4, 60 ]

E21.1644 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T2^4, (T1, T2^-1), T1^-15 * T2, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 7, 16, 8)(4, 10, 17, 12)(6, 14, 24, 15)(11, 18, 25, 20)(13, 22, 32, 23)(19, 26, 33, 28)(21, 30, 40, 31)(27, 34, 41, 36)(29, 38, 48, 39)(35, 42, 49, 44)(37, 46, 56, 47)(43, 50, 57, 52)(45, 54, 60, 55)(51, 53, 59, 58)(61, 62, 66, 73, 81, 89, 97, 105, 113, 110, 102, 94, 86, 78, 70, 63, 67, 74, 82, 90, 98, 106, 114, 119, 117, 109, 101, 93, 85, 77, 69, 76, 84, 92, 100, 108, 116, 120, 118, 112, 104, 96, 88, 80, 72, 65, 68, 75, 83, 91, 99, 107, 115, 111, 103, 95, 87, 79, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^4 ), ( 30^60 ) }
Outer automorphisms :: reflexible
Dual of E21.1645
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 60 f = 4
	degree seq :: [ 4^15, 60 ]

E21.1645 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (T2^-1, T1^-1), T2^15 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65)(2, 62, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 56, 116, 48, 108, 40, 100, 32, 92, 24, 84, 16, 76, 8, 68)(4, 64, 10, 70, 18, 78, 26, 86, 34, 94, 42, 102, 50, 110, 57, 117, 58, 118, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71)(6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 59, 119, 60, 120, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 14, 74)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 64)(7, 73)(8, 74)(9, 75)(10, 63)(11, 65)(12, 76)(13, 70)(14, 71)(15, 81)(16, 82)(17, 83)(18, 69)(19, 72)(20, 84)(21, 78)(22, 79)(23, 89)(24, 90)(25, 91)(26, 77)(27, 80)(28, 92)(29, 86)(30, 87)(31, 97)(32, 98)(33, 99)(34, 85)(35, 88)(36, 100)(37, 94)(38, 95)(39, 105)(40, 106)(41, 107)(42, 93)(43, 96)(44, 108)(45, 102)(46, 103)(47, 113)(48, 114)(49, 115)(50, 101)(51, 104)(52, 116)(53, 110)(54, 111)(55, 119)(56, 120)(57, 109)(58, 112)(59, 117)(60, 118)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1644
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 60 f = 16
	degree seq :: [ 30^4 ]

E21.1646 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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 * T2^4, T2^12 * T1^-3, T1^5 * T2^-1 * T1 * T2^-7 * T1, T1^15 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 41, 101, 49, 109, 57, 117, 53, 113, 48, 108, 39, 99, 28, 88, 14, 74, 27, 87, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 42, 102, 50, 110, 58, 118, 54, 114, 45, 105, 40, 100, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 23, 83, 11, 71, 21, 81, 35, 95, 43, 103, 51, 111, 59, 119, 55, 115, 46, 106, 37, 97, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 22, 82, 36, 96, 44, 104, 52, 112, 60, 120, 56, 116, 47, 107, 38, 98, 26, 86, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 97)(27, 85)(28, 98)(29, 84)(30, 99)(31, 83)(32, 100)(33, 82)(34, 79)(35, 80)(36, 81)(37, 105)(38, 106)(39, 107)(40, 108)(41, 96)(42, 93)(43, 94)(44, 95)(45, 113)(46, 114)(47, 115)(48, 116)(49, 104)(50, 101)(51, 102)(52, 103)(53, 120)(54, 117)(55, 118)(56, 119)(57, 112)(58, 109)(59, 110)(60, 111)
	local type(s) :: { ( 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15, 4, 15 ) }
Outer automorphisms :: reflexible
Dual of E21.1642
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 19
	degree seq :: [ 120 ]

E21.1647 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T2^4, (T1, T2^-1), T1^-15 * T2, (T1^-1 * T2^-1)^15 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 5, 65)(2, 62, 7, 67, 16, 76, 8, 68)(4, 64, 10, 70, 17, 77, 12, 72)(6, 66, 14, 74, 24, 84, 15, 75)(11, 71, 18, 78, 25, 85, 20, 80)(13, 73, 22, 82, 32, 92, 23, 83)(19, 79, 26, 86, 33, 93, 28, 88)(21, 81, 30, 90, 40, 100, 31, 91)(27, 87, 34, 94, 41, 101, 36, 96)(29, 89, 38, 98, 48, 108, 39, 99)(35, 95, 42, 102, 49, 109, 44, 104)(37, 97, 46, 106, 56, 116, 47, 107)(43, 103, 50, 110, 57, 117, 52, 112)(45, 105, 54, 114, 60, 120, 55, 115)(51, 111, 53, 113, 59, 119, 58, 118)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 73)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 81)(14, 82)(15, 83)(16, 84)(17, 69)(18, 70)(19, 71)(20, 72)(21, 89)(22, 90)(23, 91)(24, 92)(25, 77)(26, 78)(27, 79)(28, 80)(29, 97)(30, 98)(31, 99)(32, 100)(33, 85)(34, 86)(35, 87)(36, 88)(37, 105)(38, 106)(39, 107)(40, 108)(41, 93)(42, 94)(43, 95)(44, 96)(45, 113)(46, 114)(47, 115)(48, 116)(49, 101)(50, 102)(51, 103)(52, 104)(53, 110)(54, 119)(55, 111)(56, 120)(57, 109)(58, 112)(59, 117)(60, 118)
	local type(s) :: { ( 15, 60, 15, 60, 15, 60, 15, 60 ) }
Outer automorphisms :: reflexible
Dual of E21.1643
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 60 f = 5
	degree seq :: [ 8^15 ]

E21.1648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 15, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^4, Y2^15, Y3^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 7, 67, 13, 73, 10, 70)(5, 65, 8, 68, 14, 74, 11, 71)(9, 69, 15, 75, 21, 81, 18, 78)(12, 72, 16, 76, 22, 82, 19, 79)(17, 77, 23, 83, 29, 89, 26, 86)(20, 80, 24, 84, 30, 90, 27, 87)(25, 85, 31, 91, 37, 97, 34, 94)(28, 88, 32, 92, 38, 98, 35, 95)(33, 93, 39, 99, 45, 105, 42, 102)(36, 96, 40, 100, 46, 106, 43, 103)(41, 101, 47, 107, 53, 113, 50, 110)(44, 104, 48, 108, 54, 114, 51, 111)(49, 109, 55, 115, 59, 119, 57, 117)(52, 112, 56, 116, 60, 120, 58, 118)(121, 181, 123, 183, 129, 189, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 132, 192, 125, 185)(122, 182, 127, 187, 135, 195, 143, 203, 151, 211, 159, 219, 167, 227, 175, 235, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 128, 188)(124, 184, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 177, 237, 178, 238, 171, 231, 163, 223, 155, 215, 147, 207, 139, 199, 131, 191)(126, 186, 133, 193, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 179, 239, 180, 240, 174, 234, 166, 226, 158, 218, 150, 210, 142, 202, 134, 194)
	L = (1, 124)(2, 121)(3, 130)(4, 126)(5, 131)(6, 122)(7, 123)(8, 125)(9, 138)(10, 133)(11, 134)(12, 139)(13, 127)(14, 128)(15, 129)(16, 132)(17, 146)(18, 141)(19, 142)(20, 147)(21, 135)(22, 136)(23, 137)(24, 140)(25, 154)(26, 149)(27, 150)(28, 155)(29, 143)(30, 144)(31, 145)(32, 148)(33, 162)(34, 157)(35, 158)(36, 163)(37, 151)(38, 152)(39, 153)(40, 156)(41, 170)(42, 165)(43, 166)(44, 171)(45, 159)(46, 160)(47, 161)(48, 164)(49, 177)(50, 173)(51, 174)(52, 178)(53, 167)(54, 168)(55, 169)(56, 172)(57, 179)(58, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1651
Graph:: bipartite
	v = 19 e = 120 f = 61
	degree seq :: [ 8^15, 30^4 ]

E21.1649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 15, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^4 * Y1^4, (Y3^-1 * Y1^-1)^4, Y2^-8 * Y1^7, Y1^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 37, 97, 45, 105, 53, 113, 60, 120, 51, 111, 42, 102, 33, 93, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 25, 85, 32, 92, 40, 100, 48, 108, 56, 116, 59, 119, 50, 110, 41, 101, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 38, 98, 46, 106, 54, 114, 57, 117, 52, 112, 43, 103, 34, 94, 19, 79, 31, 91, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 24, 84, 13, 73, 18, 78, 30, 90, 39, 99, 47, 107, 55, 115, 58, 118, 49, 109, 44, 104, 35, 95, 20, 80)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 161, 221, 169, 229, 177, 237, 173, 233, 168, 228, 159, 219, 148, 208, 134, 194, 147, 207, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 162, 222, 170, 230, 178, 238, 174, 234, 165, 225, 160, 220, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 143, 203, 131, 191, 141, 201, 155, 215, 163, 223, 171, 231, 179, 239, 175, 235, 166, 226, 157, 217, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 142, 202, 156, 216, 164, 224, 172, 232, 180, 240, 176, 236, 167, 227, 158, 218, 146, 206, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 145)(27, 144)(28, 134)(29, 143)(30, 136)(31, 142)(32, 138)(33, 161)(34, 162)(35, 163)(36, 164)(37, 152)(38, 146)(39, 148)(40, 150)(41, 169)(42, 170)(43, 171)(44, 172)(45, 160)(46, 157)(47, 158)(48, 159)(49, 177)(50, 178)(51, 179)(52, 180)(53, 168)(54, 165)(55, 166)(56, 167)(57, 173)(58, 174)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E21.1650
Graph:: bipartite
	v = 5 e = 120 f = 75
	degree seq :: [ 30^4, 120 ]

E21.1650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (Y2, Y3^-1), Y2^4, Y2^-1 * Y3^-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^-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, 124, 184)(123, 183, 127, 187, 133, 193, 130, 190)(125, 185, 128, 188, 134, 194, 131, 191)(129, 189, 135, 195, 141, 201, 138, 198)(132, 192, 136, 196, 142, 202, 139, 199)(137, 197, 143, 203, 149, 209, 146, 206)(140, 200, 144, 204, 150, 210, 147, 207)(145, 205, 151, 211, 157, 217, 154, 214)(148, 208, 152, 212, 158, 218, 155, 215)(153, 213, 159, 219, 165, 225, 162, 222)(156, 216, 160, 220, 166, 226, 163, 223)(161, 221, 167, 227, 173, 233, 170, 230)(164, 224, 168, 228, 174, 234, 171, 231)(169, 229, 175, 235, 179, 239, 178, 238)(172, 232, 176, 236, 180, 240, 177, 237)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 133)(7, 135)(8, 122)(9, 137)(10, 138)(11, 124)(12, 125)(13, 141)(14, 126)(15, 143)(16, 128)(17, 145)(18, 146)(19, 131)(20, 132)(21, 149)(22, 134)(23, 151)(24, 136)(25, 153)(26, 154)(27, 139)(28, 140)(29, 157)(30, 142)(31, 159)(32, 144)(33, 161)(34, 162)(35, 147)(36, 148)(37, 165)(38, 150)(39, 167)(40, 152)(41, 169)(42, 170)(43, 155)(44, 156)(45, 173)(46, 158)(47, 175)(48, 160)(49, 177)(50, 178)(51, 163)(52, 164)(53, 179)(54, 166)(55, 172)(56, 168)(57, 171)(58, 180)(59, 176)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 30, 120 ), ( 30, 120, 30, 120, 30, 120, 30, 120 ) }
Outer automorphisms :: reflexible
Dual of E21.1649
Graph:: simple bipartite
	v = 75 e = 120 f = 5
	degree seq :: [ 2^60, 8^15 ]

E21.1651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 15, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-15 * Y3, (Y1^-1 * Y3^-1)^15 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70, 3, 63, 7, 67, 14, 74, 22, 82, 30, 90, 38, 98, 46, 106, 54, 114, 59, 119, 57, 117, 49, 109, 41, 101, 33, 93, 25, 85, 17, 77, 9, 69, 16, 76, 24, 84, 32, 92, 40, 100, 48, 108, 56, 116, 60, 120, 58, 118, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65, 8, 68, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 134)(7, 136)(8, 122)(9, 125)(10, 137)(11, 138)(12, 124)(13, 142)(14, 144)(15, 126)(16, 128)(17, 132)(18, 145)(19, 146)(20, 131)(21, 150)(22, 152)(23, 133)(24, 135)(25, 140)(26, 153)(27, 154)(28, 139)(29, 158)(30, 160)(31, 141)(32, 143)(33, 148)(34, 161)(35, 162)(36, 147)(37, 166)(38, 168)(39, 149)(40, 151)(41, 156)(42, 169)(43, 170)(44, 155)(45, 174)(46, 176)(47, 157)(48, 159)(49, 164)(50, 177)(51, 173)(52, 163)(53, 179)(54, 180)(55, 165)(56, 167)(57, 172)(58, 171)(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) :: { ( 8, 30 ), ( 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30, 8, 30 ) }
Outer automorphisms :: reflexible
Dual of E21.1648
Graph:: bipartite
	v = 61 e = 120 f = 19
	degree seq :: [ 2^60, 120 ]

E21.1652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 15, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^15 * 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 7, 67, 13, 73, 10, 70)(5, 65, 8, 68, 14, 74, 11, 71)(9, 69, 15, 75, 21, 81, 18, 78)(12, 72, 16, 76, 22, 82, 19, 79)(17, 77, 23, 83, 29, 89, 26, 86)(20, 80, 24, 84, 30, 90, 27, 87)(25, 85, 31, 91, 37, 97, 34, 94)(28, 88, 32, 92, 38, 98, 35, 95)(33, 93, 39, 99, 45, 105, 42, 102)(36, 96, 40, 100, 46, 106, 43, 103)(41, 101, 47, 107, 53, 113, 50, 110)(44, 104, 48, 108, 54, 114, 51, 111)(49, 109, 55, 115, 59, 119, 57, 117)(52, 112, 56, 116, 60, 120, 58, 118)(121, 181, 123, 183, 129, 189, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 128, 188, 122, 182, 127, 187, 135, 195, 143, 203, 151, 211, 159, 219, 167, 227, 175, 235, 180, 240, 174, 234, 166, 226, 158, 218, 150, 210, 142, 202, 134, 194, 126, 186, 133, 193, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 179, 239, 178, 238, 171, 231, 163, 223, 155, 215, 147, 207, 139, 199, 131, 191, 124, 184, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 177, 237, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 132, 192, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 126)(5, 131)(6, 122)(7, 123)(8, 125)(9, 138)(10, 133)(11, 134)(12, 139)(13, 127)(14, 128)(15, 129)(16, 132)(17, 146)(18, 141)(19, 142)(20, 147)(21, 135)(22, 136)(23, 137)(24, 140)(25, 154)(26, 149)(27, 150)(28, 155)(29, 143)(30, 144)(31, 145)(32, 148)(33, 162)(34, 157)(35, 158)(36, 163)(37, 151)(38, 152)(39, 153)(40, 156)(41, 170)(42, 165)(43, 166)(44, 171)(45, 159)(46, 160)(47, 161)(48, 164)(49, 177)(50, 173)(51, 174)(52, 178)(53, 167)(54, 168)(55, 169)(56, 172)(57, 179)(58, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.1653
Graph:: bipartite
	v = 16 e = 120 f = 64
	degree seq :: [ 8^15, 120 ]

E21.1653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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^-2 * Y3^2 * Y1^2 * Y3^-1, Y1^-4 * Y3^-4, Y3^-12 * Y1^3, Y1^3 * Y3^-1 * Y1 * Y3^-2 * Y1^2 * Y3^-5 * Y1, Y1^15, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 37, 97, 45, 105, 53, 113, 60, 120, 51, 111, 42, 102, 33, 93, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 25, 85, 32, 92, 40, 100, 48, 108, 56, 116, 59, 119, 50, 110, 41, 101, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 38, 98, 46, 106, 54, 114, 57, 117, 52, 112, 43, 103, 34, 94, 19, 79, 31, 91, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 24, 84, 13, 73, 18, 78, 30, 90, 39, 99, 47, 107, 55, 115, 58, 118, 49, 109, 44, 104, 35, 95, 20, 80)(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, 145)(27, 144)(28, 134)(29, 143)(30, 136)(31, 142)(32, 138)(33, 161)(34, 162)(35, 163)(36, 164)(37, 152)(38, 146)(39, 148)(40, 150)(41, 169)(42, 170)(43, 171)(44, 172)(45, 160)(46, 157)(47, 158)(48, 159)(49, 177)(50, 178)(51, 179)(52, 180)(53, 168)(54, 165)(55, 166)(56, 167)(57, 173)(58, 174)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 120 ), ( 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120 ) }
Outer automorphisms :: reflexible
Dual of E21.1652
Graph:: simple bipartite
	v = 64 e = 120 f = 16
	degree seq :: [ 2^60, 30^4 ]

E21.1654 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {7, 9, 9})
Quotient :: edge
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^2 * X2^-1 * X1^-1 * X2, X2 * X1 * X2^-1 * X1^3, X1 * X2^-1 * X1^3 * X2, X1 * X2 * X1 * X2^-1 * X1^2, X2^9, X2^-4 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 25, 13, 4)(3, 9, 7, 20, 19, 12, 11)(5, 15, 31, 14, 8, 22, 16)(10, 26, 24, 30, 21, 29, 28)(17, 35, 23, 34, 33, 32, 36)(27, 38, 41, 45, 40, 44, 43)(37, 39, 47, 50, 49, 48, 46)(42, 54, 52, 58, 55, 57, 56)(51, 60, 62, 59, 53, 63, 61)(64, 66, 73, 90, 105, 114, 100, 80, 68)(65, 70, 84, 101, 115, 116, 102, 86, 71)(67, 75, 93, 106, 120, 122, 109, 95, 77)(69, 82, 89, 104, 118, 123, 110, 96, 78)(72, 87, 103, 117, 125, 112, 98, 94, 88)(74, 92, 108, 119, 126, 113, 99, 85, 81)(76, 83, 91, 107, 121, 124, 111, 97, 79)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 18^7 ), ( 18^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 63 f = 7
	degree seq :: [ 7^9, 9^7 ]

E21.1655 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {7, 9, 9})
Quotient :: loop
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X1^3 * X2^3, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, X2^6 * X1^-3 ]
Map:: non-degenerate
	R = (1, 64, 2, 65, 6, 69, 18, 81, 42, 105, 58, 121, 30, 93, 13, 76, 4, 67)(3, 66, 9, 72, 27, 90, 17, 80, 41, 104, 55, 118, 57, 120, 33, 96, 11, 74)(5, 68, 15, 78, 39, 102, 43, 106, 60, 123, 31, 94, 10, 73, 29, 92, 16, 79)(7, 70, 21, 84, 49, 112, 26, 89, 56, 119, 59, 122, 37, 100, 53, 116, 23, 86)(8, 71, 24, 87, 54, 117, 62, 125, 32, 95, 51, 114, 22, 85, 50, 113, 25, 88)(12, 75, 28, 91, 45, 108, 19, 82, 44, 107, 40, 103, 48, 111, 63, 126, 36, 99)(14, 77, 38, 101, 47, 110, 20, 83, 46, 109, 61, 124, 35, 98, 52, 115, 34, 97)
	L = (1, 66)(2, 70)(3, 73)(4, 75)(5, 64)(6, 82)(7, 85)(8, 65)(9, 91)(10, 93)(11, 95)(12, 98)(13, 100)(14, 67)(15, 88)(16, 86)(17, 68)(18, 80)(19, 77)(20, 69)(21, 72)(22, 76)(23, 115)(24, 110)(25, 108)(26, 71)(27, 113)(28, 116)(29, 114)(30, 120)(31, 122)(32, 124)(33, 126)(34, 74)(35, 121)(36, 123)(37, 125)(38, 79)(39, 112)(40, 78)(41, 107)(42, 89)(43, 81)(44, 84)(45, 92)(46, 102)(47, 90)(48, 83)(49, 101)(50, 97)(51, 99)(52, 94)(53, 96)(54, 103)(55, 87)(56, 104)(57, 106)(58, 111)(59, 109)(60, 117)(61, 118)(62, 105)(63, 119)
	local type(s) :: { ( 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 63 f = 16
	degree seq :: [ 18^7 ]

E21.1656 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {7, 9, 9})
Quotient :: loop
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T1^3 * T2^3, T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1^-3 * T2^5 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 57, 43, 18, 17, 5)(2, 7, 22, 13, 37, 62, 42, 26, 8)(4, 12, 35, 58, 48, 20, 6, 19, 14)(9, 23, 52, 33, 63, 46, 41, 49, 28)(11, 32, 61, 55, 24, 44, 27, 50, 34)(15, 21, 45, 29, 53, 36, 60, 56, 40)(16, 38, 51, 31, 59, 54, 39, 47, 25)(64, 65, 69, 81, 105, 121, 93, 76, 67)(66, 72, 90, 80, 104, 118, 120, 96, 74)(68, 78, 102, 106, 123, 94, 73, 92, 79)(70, 84, 112, 89, 119, 126, 100, 116, 86)(71, 87, 117, 125, 95, 114, 85, 113, 88)(75, 97, 108, 82, 107, 103, 111, 124, 99)(77, 91, 110, 83, 109, 122, 98, 115, 101)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 14^9 ) }
Outer automorphisms :: reflexible
Dual of E21.1657
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 14 e = 63 f = 9
	degree seq :: [ 9^14 ]

E21.1657 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {7, 9, 9})
Quotient :: edge
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T1 * T2 * T1^-1 * T2^-2, T2 * T1 * T2^3 * T1^-1, T1^-1 * T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1 * T2^2, T1^2 * F * T1^-2 * T2 * F, T1^9, 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^-2 ]
Map:: polytopal non-degenerate
	R = (1, 64, 3, 66, 10, 73, 26, 89, 30, 93, 17, 80, 5, 68)(2, 65, 7, 70, 22, 85, 15, 78, 9, 72, 24, 87, 8, 71)(4, 67, 12, 75, 11, 74, 28, 91, 27, 90, 16, 79, 14, 77)(6, 69, 19, 82, 25, 88, 23, 86, 21, 84, 36, 99, 20, 83)(13, 76, 32, 95, 31, 94, 37, 100, 29, 92, 35, 98, 34, 97)(18, 81, 39, 102, 43, 106, 42, 105, 41, 104, 44, 107, 40, 103)(33, 96, 45, 108, 47, 110, 51, 114, 46, 109, 50, 113, 49, 112)(38, 101, 52, 115, 56, 119, 55, 118, 54, 117, 57, 120, 53, 116)(48, 111, 59, 122, 58, 121, 63, 126, 60, 123, 62, 125, 61, 124)
	L = (1, 65)(2, 69)(3, 72)(4, 64)(5, 78)(6, 81)(7, 84)(8, 86)(9, 88)(10, 70)(11, 66)(12, 93)(13, 67)(14, 89)(15, 99)(16, 68)(17, 71)(18, 101)(19, 104)(20, 105)(21, 106)(22, 82)(23, 107)(24, 83)(25, 102)(26, 87)(27, 73)(28, 80)(29, 74)(30, 85)(31, 75)(32, 90)(33, 76)(34, 91)(35, 77)(36, 103)(37, 79)(38, 111)(39, 117)(40, 118)(41, 119)(42, 120)(43, 115)(44, 116)(45, 92)(46, 94)(47, 95)(48, 96)(49, 100)(50, 97)(51, 98)(52, 123)(53, 126)(54, 121)(55, 125)(56, 122)(57, 124)(58, 108)(59, 109)(60, 110)(61, 114)(62, 112)(63, 113)
	local type(s) :: { ( 9^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1656
Transitivity :: ET+ VT+
Graph::
	v = 9 e = 63 f = 14
	degree seq :: [ 14^9 ]

E21.1658 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {7, 9, 9})
Quotient :: edge^2
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^3 * Y2^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-3 * Y2^5, (Y1^-1 * Y3^-1 * Y2^-1)^7 ]
Map:: polytopal
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 128, 132, 144, 168, 184, 156, 139, 130)(129, 135, 153, 143, 167, 181, 183, 159, 137)(131, 141, 165, 169, 186, 157, 136, 155, 142)(133, 147, 175, 152, 182, 189, 163, 179, 149)(134, 150, 180, 188, 158, 177, 148, 176, 151)(138, 160, 171, 145, 170, 166, 174, 187, 162)(140, 154, 173, 146, 172, 185, 161, 178, 164)(190, 192, 199, 219, 246, 232, 207, 206, 194)(191, 196, 211, 202, 226, 251, 231, 215, 197)(193, 201, 224, 247, 237, 209, 195, 208, 203)(198, 212, 241, 222, 252, 235, 230, 238, 217)(200, 221, 250, 244, 213, 233, 216, 239, 223)(204, 210, 234, 218, 242, 225, 249, 245, 229)(205, 227, 240, 220, 248, 243, 228, 236, 214)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 28, 28 ), ( 28^9 ) }
Outer automorphisms :: reflexible
Dual of E21.1661
Graph:: simple bipartite
	v = 77 e = 126 f = 9
	degree seq :: [ 2^63, 9^14 ]

E21.1659 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {7, 9, 9})
Quotient :: edge^2
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3, (R * Y3)^2, R * Y2 * R * Y1, Y3^2 * Y1^-1 * Y2^-1 * Y3, Y1^-2 * Y2^-2 * Y3, Y1^9, Y2^9 ]
Map:: polytopal non-degenerate
	R = (1, 64, 4, 67, 17, 80, 12, 75, 21, 84, 27, 90, 7, 70)(2, 65, 9, 72, 31, 94, 25, 88, 6, 69, 23, 86, 11, 74)(3, 66, 5, 68, 16, 79, 18, 81, 41, 104, 26, 89, 15, 78)(8, 71, 29, 92, 22, 85, 35, 98, 10, 73, 33, 96, 24, 87)(13, 76, 14, 77, 19, 82, 20, 83, 43, 106, 42, 105, 38, 101)(28, 91, 47, 110, 32, 95, 49, 112, 30, 93, 48, 111, 34, 97)(36, 99, 37, 100, 39, 102, 40, 103, 44, 107, 45, 108, 46, 109)(50, 113, 54, 117, 52, 115, 56, 119, 51, 114, 55, 118, 53, 116)(57, 120, 58, 121, 59, 122, 60, 123, 61, 124, 62, 125, 63, 126)(127, 128, 134, 154, 176, 184, 162, 146, 131)(129, 138, 149, 150, 175, 181, 183, 166, 140)(130, 132, 148, 173, 177, 186, 163, 139, 144)(133, 151, 159, 160, 182, 189, 172, 164, 141)(135, 136, 158, 180, 188, 165, 169, 152, 143)(137, 161, 174, 179, 187, 171, 145, 167, 153)(142, 147, 157, 155, 156, 178, 185, 170, 168)(190, 192, 202, 225, 246, 240, 217, 213, 195)(191, 196, 215, 209, 235, 251, 239, 223, 199)(193, 205, 232, 226, 248, 243, 236, 218, 198)(194, 208, 233, 247, 242, 219, 197, 200, 210)(201, 204, 231, 229, 252, 241, 238, 222, 220)(203, 228, 250, 244, 221, 224, 212, 206, 230)(207, 227, 234, 249, 245, 237, 211, 214, 216)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 4^9 ), ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E21.1660
Graph:: simple bipartite
	v = 23 e = 126 f = 63
	degree seq :: [ 9^14, 14^9 ]

E21.1660 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {7, 9, 9})
Quotient :: loop^2
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1^3 * Y2^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-3 * Y2^5, (Y1^-1 * Y3^-1 * Y2^-1)^7 ]
Map:: polytopal non-degenerate
	R = (1, 64, 127, 190)(2, 65, 128, 191)(3, 66, 129, 192)(4, 67, 130, 193)(5, 68, 131, 194)(6, 69, 132, 195)(7, 70, 133, 196)(8, 71, 134, 197)(9, 72, 135, 198)(10, 73, 136, 199)(11, 74, 137, 200)(12, 75, 138, 201)(13, 76, 139, 202)(14, 77, 140, 203)(15, 78, 141, 204)(16, 79, 142, 205)(17, 80, 143, 206)(18, 81, 144, 207)(19, 82, 145, 208)(20, 83, 146, 209)(21, 84, 147, 210)(22, 85, 148, 211)(23, 86, 149, 212)(24, 87, 150, 213)(25, 88, 151, 214)(26, 89, 152, 215)(27, 90, 153, 216)(28, 91, 154, 217)(29, 92, 155, 218)(30, 93, 156, 219)(31, 94, 157, 220)(32, 95, 158, 221)(33, 96, 159, 222)(34, 97, 160, 223)(35, 98, 161, 224)(36, 99, 162, 225)(37, 100, 163, 226)(38, 101, 164, 227)(39, 102, 165, 228)(40, 103, 166, 229)(41, 104, 167, 230)(42, 105, 168, 231)(43, 106, 169, 232)(44, 107, 170, 233)(45, 108, 171, 234)(46, 109, 172, 235)(47, 110, 173, 236)(48, 111, 174, 237)(49, 112, 175, 238)(50, 113, 176, 239)(51, 114, 177, 240)(52, 115, 178, 241)(53, 116, 179, 242)(54, 117, 180, 243)(55, 118, 181, 244)(56, 119, 182, 245)(57, 120, 183, 246)(58, 121, 184, 247)(59, 122, 185, 248)(60, 123, 186, 249)(61, 124, 187, 250)(62, 125, 188, 251)(63, 126, 189, 252)
	L = (1, 65)(2, 69)(3, 72)(4, 64)(5, 78)(6, 81)(7, 84)(8, 87)(9, 90)(10, 92)(11, 66)(12, 97)(13, 67)(14, 91)(15, 102)(16, 68)(17, 104)(18, 105)(19, 107)(20, 109)(21, 112)(22, 113)(23, 70)(24, 117)(25, 71)(26, 119)(27, 80)(28, 110)(29, 79)(30, 76)(31, 73)(32, 114)(33, 74)(34, 108)(35, 115)(36, 75)(37, 116)(38, 77)(39, 106)(40, 111)(41, 118)(42, 121)(43, 123)(44, 103)(45, 82)(46, 122)(47, 83)(48, 124)(49, 89)(50, 88)(51, 85)(52, 101)(53, 86)(54, 125)(55, 120)(56, 126)(57, 96)(58, 93)(59, 98)(60, 94)(61, 99)(62, 95)(63, 100)(127, 192)(128, 196)(129, 199)(130, 201)(131, 190)(132, 208)(133, 211)(134, 191)(135, 212)(136, 219)(137, 221)(138, 224)(139, 226)(140, 193)(141, 210)(142, 227)(143, 194)(144, 206)(145, 203)(146, 195)(147, 234)(148, 202)(149, 241)(150, 233)(151, 205)(152, 197)(153, 239)(154, 198)(155, 242)(156, 246)(157, 248)(158, 250)(159, 252)(160, 200)(161, 247)(162, 249)(163, 251)(164, 240)(165, 236)(166, 204)(167, 238)(168, 215)(169, 207)(170, 216)(171, 218)(172, 230)(173, 214)(174, 209)(175, 217)(176, 223)(177, 220)(178, 222)(179, 225)(180, 228)(181, 213)(182, 229)(183, 232)(184, 237)(185, 243)(186, 245)(187, 244)(188, 231)(189, 235)
	local type(s) :: { ( 9, 14, 9, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.1659
Transitivity :: VT+
Graph:: simple
	v = 63 e = 126 f = 23
	degree seq :: [ 4^63 ]

E21.1661 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {7, 9, 9})
Quotient :: loop^2
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3, (R * Y3)^2, R * Y2 * R * Y1, Y3^2 * Y1^-1 * Y2^-1 * Y3, Y1^-2 * Y2^-2 * Y3, Y1^9, Y2^9 ]
Map::
	R = (1, 64, 127, 190, 4, 67, 130, 193, 17, 80, 143, 206, 12, 75, 138, 201, 21, 84, 147, 210, 27, 90, 153, 216, 7, 70, 133, 196)(2, 65, 128, 191, 9, 72, 135, 198, 31, 94, 157, 220, 25, 88, 151, 214, 6, 69, 132, 195, 23, 86, 149, 212, 11, 74, 137, 200)(3, 66, 129, 192, 5, 68, 131, 194, 16, 79, 142, 205, 18, 81, 144, 207, 41, 104, 167, 230, 26, 89, 152, 215, 15, 78, 141, 204)(8, 71, 134, 197, 29, 92, 155, 218, 22, 85, 148, 211, 35, 98, 161, 224, 10, 73, 136, 199, 33, 96, 159, 222, 24, 87, 150, 213)(13, 76, 139, 202, 14, 77, 140, 203, 19, 82, 145, 208, 20, 83, 146, 209, 43, 106, 169, 232, 42, 105, 168, 231, 38, 101, 164, 227)(28, 91, 154, 217, 47, 110, 173, 236, 32, 95, 158, 221, 49, 112, 175, 238, 30, 93, 156, 219, 48, 111, 174, 237, 34, 97, 160, 223)(36, 99, 162, 225, 37, 100, 163, 226, 39, 102, 165, 228, 40, 103, 166, 229, 44, 107, 170, 233, 45, 108, 171, 234, 46, 109, 172, 235)(50, 113, 176, 239, 54, 117, 180, 243, 52, 115, 178, 241, 56, 119, 182, 245, 51, 114, 177, 240, 55, 118, 181, 244, 53, 116, 179, 242)(57, 120, 183, 246, 58, 121, 184, 247, 59, 122, 185, 248, 60, 123, 186, 249, 61, 124, 187, 250, 62, 125, 188, 251, 63, 126, 189, 252)
	L = (1, 65)(2, 71)(3, 75)(4, 69)(5, 64)(6, 85)(7, 88)(8, 91)(9, 73)(10, 95)(11, 98)(12, 86)(13, 81)(14, 66)(15, 70)(16, 84)(17, 72)(18, 67)(19, 104)(20, 68)(21, 94)(22, 110)(23, 87)(24, 112)(25, 96)(26, 80)(27, 74)(28, 113)(29, 93)(30, 115)(31, 92)(32, 117)(33, 97)(34, 119)(35, 111)(36, 83)(37, 76)(38, 78)(39, 106)(40, 77)(41, 90)(42, 79)(43, 89)(44, 105)(45, 82)(46, 101)(47, 114)(48, 116)(49, 118)(50, 121)(51, 123)(52, 122)(53, 124)(54, 125)(55, 120)(56, 126)(57, 103)(58, 99)(59, 107)(60, 100)(61, 108)(62, 102)(63, 109)(127, 192)(128, 196)(129, 202)(130, 205)(131, 208)(132, 190)(133, 215)(134, 200)(135, 193)(136, 191)(137, 210)(138, 204)(139, 225)(140, 228)(141, 231)(142, 232)(143, 230)(144, 227)(145, 233)(146, 235)(147, 194)(148, 214)(149, 206)(150, 195)(151, 216)(152, 209)(153, 207)(154, 213)(155, 198)(156, 197)(157, 201)(158, 224)(159, 220)(160, 199)(161, 212)(162, 246)(163, 248)(164, 234)(165, 250)(166, 252)(167, 203)(168, 229)(169, 226)(170, 247)(171, 249)(172, 251)(173, 218)(174, 211)(175, 222)(176, 223)(177, 217)(178, 238)(179, 219)(180, 236)(181, 221)(182, 237)(183, 240)(184, 242)(185, 243)(186, 245)(187, 244)(188, 239)(189, 241)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: reflexible
Dual of E21.1658
Transitivity :: VT+
Graph::
	v = 9 e = 126 f = 77
	degree seq :: [ 28^9 ]

E21.1662 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^21, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 63, 58, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 62, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(64, 65, 67)(66, 69, 72)(68, 70, 73)(71, 75, 78)(74, 76, 79)(77, 81, 84)(80, 82, 85)(83, 87, 90)(86, 88, 91)(89, 93, 96)(92, 94, 97)(95, 99, 102)(98, 100, 103)(101, 105, 108)(104, 106, 109)(107, 111, 114)(110, 112, 115)(113, 117, 120)(116, 118, 121)(119, 123, 125)(122, 124, 126)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 126^3 ), ( 126^63 ) }
Outer automorphisms :: reflexible
Dual of E21.1666
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 63 f = 1
	degree seq :: [ 3^21, 63 ]

E21.1663 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^-21, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 58, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(64, 65, 67)(66, 69, 72)(68, 70, 73)(71, 75, 78)(74, 76, 79)(77, 81, 84)(80, 82, 85)(83, 87, 90)(86, 88, 91)(89, 93, 96)(92, 94, 97)(95, 99, 102)(98, 100, 103)(101, 105, 108)(104, 106, 109)(107, 111, 114)(110, 112, 115)(113, 117, 120)(116, 118, 121)(119, 123, 126)(122, 124, 125)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 126^3 ), ( 126^63 ) }
Outer automorphisms :: reflexible
Dual of E21.1665
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 63 f = 1
	degree seq :: [ 3^21, 63 ]

E21.1664 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 63, 63})
Quotient :: edge
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^2 * T2^3 * T1, T1^2 * T2 * T1 * T2^2, T1^-2 * T2^7 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-7, T1^29 * T2^7 * T1^-1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 61, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 62, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 63, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(64, 65, 69, 77, 85, 91, 97, 103, 109, 115, 121, 124, 120, 113, 106, 102, 95, 88, 84, 73, 66, 70, 78, 76, 81, 87, 93, 99, 105, 111, 117, 123, 126, 119, 112, 108, 101, 94, 90, 83, 72, 80, 75, 68, 71, 79, 86, 92, 98, 104, 110, 116, 122, 125, 118, 114, 107, 100, 96, 89, 82, 74, 67)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 6^63 ) }
Outer automorphisms :: reflexible
Dual of E21.1667
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 63 f = 21
	degree seq :: [ 63^2 ]

E21.1665 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^21, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 8, 71, 14, 77, 20, 83, 26, 89, 32, 95, 38, 101, 44, 107, 50, 113, 56, 119, 61, 124, 55, 118, 49, 112, 43, 106, 37, 100, 31, 94, 25, 88, 19, 82, 13, 76, 7, 70, 2, 65, 6, 69, 12, 75, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 60, 123, 63, 126, 58, 121, 52, 115, 46, 109, 40, 103, 34, 97, 28, 91, 22, 85, 16, 79, 10, 73, 4, 67, 9, 72, 15, 78, 21, 84, 27, 90, 33, 96, 39, 102, 45, 108, 51, 114, 57, 120, 62, 125, 59, 122, 53, 116, 47, 110, 41, 104, 35, 98, 29, 92, 23, 86, 17, 80, 11, 74, 5, 68)
	L = (1, 65)(2, 67)(3, 69)(4, 64)(5, 70)(6, 72)(7, 73)(8, 75)(9, 66)(10, 68)(11, 76)(12, 78)(13, 79)(14, 81)(15, 71)(16, 74)(17, 82)(18, 84)(19, 85)(20, 87)(21, 77)(22, 80)(23, 88)(24, 90)(25, 91)(26, 93)(27, 83)(28, 86)(29, 94)(30, 96)(31, 97)(32, 99)(33, 89)(34, 92)(35, 100)(36, 102)(37, 103)(38, 105)(39, 95)(40, 98)(41, 106)(42, 108)(43, 109)(44, 111)(45, 101)(46, 104)(47, 112)(48, 114)(49, 115)(50, 117)(51, 107)(52, 110)(53, 118)(54, 120)(55, 121)(56, 123)(57, 113)(58, 116)(59, 124)(60, 125)(61, 126)(62, 119)(63, 122)
	local type(s) :: { ( 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63 ) }
Outer automorphisms :: reflexible
Dual of E21.1663
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 63 f = 22
	degree seq :: [ 126 ]

E21.1666 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^-21, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 8, 71, 14, 77, 20, 83, 26, 89, 32, 95, 38, 101, 44, 107, 50, 113, 56, 119, 62, 125, 58, 121, 52, 115, 46, 109, 40, 103, 34, 97, 28, 91, 22, 85, 16, 79, 10, 73, 4, 67, 9, 72, 15, 78, 21, 84, 27, 90, 33, 96, 39, 102, 45, 108, 51, 114, 57, 120, 63, 126, 61, 124, 55, 118, 49, 112, 43, 106, 37, 100, 31, 94, 25, 88, 19, 82, 13, 76, 7, 70, 2, 65, 6, 69, 12, 75, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 60, 123, 59, 122, 53, 116, 47, 110, 41, 104, 35, 98, 29, 92, 23, 86, 17, 80, 11, 74, 5, 68)
	L = (1, 65)(2, 67)(3, 69)(4, 64)(5, 70)(6, 72)(7, 73)(8, 75)(9, 66)(10, 68)(11, 76)(12, 78)(13, 79)(14, 81)(15, 71)(16, 74)(17, 82)(18, 84)(19, 85)(20, 87)(21, 77)(22, 80)(23, 88)(24, 90)(25, 91)(26, 93)(27, 83)(28, 86)(29, 94)(30, 96)(31, 97)(32, 99)(33, 89)(34, 92)(35, 100)(36, 102)(37, 103)(38, 105)(39, 95)(40, 98)(41, 106)(42, 108)(43, 109)(44, 111)(45, 101)(46, 104)(47, 112)(48, 114)(49, 115)(50, 117)(51, 107)(52, 110)(53, 118)(54, 120)(55, 121)(56, 123)(57, 113)(58, 116)(59, 124)(60, 126)(61, 125)(62, 122)(63, 119)
	local type(s) :: { ( 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63, 3, 63 ) }
Outer automorphisms :: reflexible
Dual of E21.1662
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 63 f = 22
	degree seq :: [ 126 ]

E21.1667 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 63, 63})
Quotient :: loop
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^-21, (T1^-1 * T2^-1)^63 ]
Map:: non-degenerate
	R = (1, 64, 3, 66, 5, 68)(2, 65, 7, 70, 8, 71)(4, 67, 9, 72, 11, 74)(6, 69, 13, 76, 14, 77)(10, 73, 15, 78, 17, 80)(12, 75, 19, 82, 20, 83)(16, 79, 21, 84, 23, 86)(18, 81, 25, 88, 26, 89)(22, 85, 27, 90, 29, 92)(24, 87, 31, 94, 32, 95)(28, 91, 33, 96, 35, 98)(30, 93, 37, 100, 38, 101)(34, 97, 39, 102, 41, 104)(36, 99, 43, 106, 44, 107)(40, 103, 45, 108, 47, 110)(42, 105, 49, 112, 50, 113)(46, 109, 51, 114, 53, 116)(48, 111, 55, 118, 56, 119)(52, 115, 57, 120, 59, 122)(54, 117, 61, 124, 62, 125)(58, 121, 60, 123, 63, 126)
	L = (1, 65)(2, 69)(3, 70)(4, 64)(5, 71)(6, 75)(7, 76)(8, 77)(9, 66)(10, 67)(11, 68)(12, 81)(13, 82)(14, 83)(15, 72)(16, 73)(17, 74)(18, 87)(19, 88)(20, 89)(21, 78)(22, 79)(23, 80)(24, 93)(25, 94)(26, 95)(27, 84)(28, 85)(29, 86)(30, 99)(31, 100)(32, 101)(33, 90)(34, 91)(35, 92)(36, 105)(37, 106)(38, 107)(39, 96)(40, 97)(41, 98)(42, 111)(43, 112)(44, 113)(45, 102)(46, 103)(47, 104)(48, 117)(49, 118)(50, 119)(51, 108)(52, 109)(53, 110)(54, 123)(55, 124)(56, 125)(57, 114)(58, 115)(59, 116)(60, 120)(61, 126)(62, 121)(63, 122)
	local type(s) :: { ( 63^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1664
Transitivity :: ET+ VT+ AT
Graph::
	v = 21 e = 63 f = 2
	degree seq :: [ 6^21 ]

E21.1668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^3, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3 * Y2^-21, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 64, 2, 65, 4, 67)(3, 66, 6, 69, 9, 72)(5, 68, 7, 70, 10, 73)(8, 71, 12, 75, 15, 78)(11, 74, 13, 76, 16, 79)(14, 77, 18, 81, 21, 84)(17, 80, 19, 82, 22, 85)(20, 83, 24, 87, 27, 90)(23, 86, 25, 88, 28, 91)(26, 89, 30, 93, 33, 96)(29, 92, 31, 94, 34, 97)(32, 95, 36, 99, 39, 102)(35, 98, 37, 100, 40, 103)(38, 101, 42, 105, 45, 108)(41, 104, 43, 106, 46, 109)(44, 107, 48, 111, 51, 114)(47, 110, 49, 112, 52, 115)(50, 113, 54, 117, 57, 120)(53, 116, 55, 118, 58, 121)(56, 119, 60, 123, 63, 126)(59, 122, 61, 124, 62, 125)(127, 190, 129, 192, 134, 197, 140, 203, 146, 209, 152, 215, 158, 221, 164, 227, 170, 233, 176, 239, 182, 245, 188, 251, 184, 247, 178, 241, 172, 235, 166, 229, 160, 223, 154, 217, 148, 211, 142, 205, 136, 199, 130, 193, 135, 198, 141, 204, 147, 210, 153, 216, 159, 222, 165, 228, 171, 234, 177, 240, 183, 246, 189, 252, 187, 250, 181, 244, 175, 238, 169, 232, 163, 226, 157, 220, 151, 214, 145, 208, 139, 202, 133, 196, 128, 191, 132, 195, 138, 201, 144, 207, 150, 213, 156, 219, 162, 225, 168, 231, 174, 237, 180, 243, 186, 249, 185, 248, 179, 242, 173, 236, 167, 230, 161, 224, 155, 218, 149, 212, 143, 206, 137, 200, 131, 194)
	L = (1, 130)(2, 127)(3, 135)(4, 128)(5, 136)(6, 129)(7, 131)(8, 141)(9, 132)(10, 133)(11, 142)(12, 134)(13, 137)(14, 147)(15, 138)(16, 139)(17, 148)(18, 140)(19, 143)(20, 153)(21, 144)(22, 145)(23, 154)(24, 146)(25, 149)(26, 159)(27, 150)(28, 151)(29, 160)(30, 152)(31, 155)(32, 165)(33, 156)(34, 157)(35, 166)(36, 158)(37, 161)(38, 171)(39, 162)(40, 163)(41, 172)(42, 164)(43, 167)(44, 177)(45, 168)(46, 169)(47, 178)(48, 170)(49, 173)(50, 183)(51, 174)(52, 175)(53, 184)(54, 176)(55, 179)(56, 189)(57, 180)(58, 181)(59, 188)(60, 182)(61, 185)(62, 187)(63, 186)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 126, 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E21.1672
Graph:: bipartite
	v = 22 e = 126 f = 64
	degree seq :: [ 6^21, 126 ]

E21.1669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^21 * 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 ]
Map::
	R = (1, 64, 2, 65, 4, 67)(3, 66, 6, 69, 9, 72)(5, 68, 7, 70, 10, 73)(8, 71, 12, 75, 15, 78)(11, 74, 13, 76, 16, 79)(14, 77, 18, 81, 21, 84)(17, 80, 19, 82, 22, 85)(20, 83, 24, 87, 27, 90)(23, 86, 25, 88, 28, 91)(26, 89, 30, 93, 33, 96)(29, 92, 31, 94, 34, 97)(32, 95, 36, 99, 39, 102)(35, 98, 37, 100, 40, 103)(38, 101, 42, 105, 45, 108)(41, 104, 43, 106, 46, 109)(44, 107, 48, 111, 51, 114)(47, 110, 49, 112, 52, 115)(50, 113, 54, 117, 57, 120)(53, 116, 55, 118, 58, 121)(56, 119, 60, 123, 62, 125)(59, 122, 61, 124, 63, 126)(127, 190, 129, 192, 134, 197, 140, 203, 146, 209, 152, 215, 158, 221, 164, 227, 170, 233, 176, 239, 182, 245, 187, 250, 181, 244, 175, 238, 169, 232, 163, 226, 157, 220, 151, 214, 145, 208, 139, 202, 133, 196, 128, 191, 132, 195, 138, 201, 144, 207, 150, 213, 156, 219, 162, 225, 168, 231, 174, 237, 180, 243, 186, 249, 189, 252, 184, 247, 178, 241, 172, 235, 166, 229, 160, 223, 154, 217, 148, 211, 142, 205, 136, 199, 130, 193, 135, 198, 141, 204, 147, 210, 153, 216, 159, 222, 165, 228, 171, 234, 177, 240, 183, 246, 188, 251, 185, 248, 179, 242, 173, 236, 167, 230, 161, 224, 155, 218, 149, 212, 143, 206, 137, 200, 131, 194)
	L = (1, 130)(2, 127)(3, 135)(4, 128)(5, 136)(6, 129)(7, 131)(8, 141)(9, 132)(10, 133)(11, 142)(12, 134)(13, 137)(14, 147)(15, 138)(16, 139)(17, 148)(18, 140)(19, 143)(20, 153)(21, 144)(22, 145)(23, 154)(24, 146)(25, 149)(26, 159)(27, 150)(28, 151)(29, 160)(30, 152)(31, 155)(32, 165)(33, 156)(34, 157)(35, 166)(36, 158)(37, 161)(38, 171)(39, 162)(40, 163)(41, 172)(42, 164)(43, 167)(44, 177)(45, 168)(46, 169)(47, 178)(48, 170)(49, 173)(50, 183)(51, 174)(52, 175)(53, 184)(54, 176)(55, 179)(56, 188)(57, 180)(58, 181)(59, 189)(60, 182)(61, 185)(62, 186)(63, 187)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 126, 2, 126, 2, 126 ), ( 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126, 2, 126 ) }
Outer automorphisms :: reflexible
Dual of E21.1673
Graph:: bipartite
	v = 22 e = 126 f = 64
	degree seq :: [ 6^21, 126 ]

E21.1670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y1^3 * Y2^3, (Y3^-1 * Y1^-1)^3, Y1^19 * Y2^-2, Y1^10 * Y2^-11, Y1^63, Y1^-189 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 14, 77, 22, 85, 28, 91, 34, 97, 40, 103, 46, 109, 52, 115, 58, 121, 63, 126, 56, 119, 49, 112, 45, 108, 38, 101, 31, 94, 27, 90, 20, 83, 9, 72, 17, 80, 12, 75, 5, 68, 8, 71, 16, 79, 23, 86, 29, 92, 35, 98, 41, 104, 47, 110, 53, 116, 59, 122, 61, 124, 57, 120, 50, 113, 43, 106, 39, 102, 32, 95, 25, 88, 21, 84, 10, 73, 3, 66, 7, 70, 15, 78, 13, 76, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 60, 123, 62, 125, 55, 118, 51, 114, 44, 107, 37, 100, 33, 96, 26, 89, 19, 82, 11, 74, 4, 67)(127, 190, 129, 192, 135, 198, 145, 208, 151, 214, 157, 220, 163, 226, 169, 232, 175, 238, 181, 244, 187, 250, 184, 247, 180, 243, 173, 236, 166, 229, 162, 225, 155, 218, 148, 211, 144, 207, 134, 197, 128, 191, 133, 196, 143, 206, 137, 200, 147, 210, 153, 216, 159, 222, 165, 228, 171, 234, 177, 240, 183, 246, 189, 252, 186, 249, 179, 242, 172, 235, 168, 231, 161, 224, 154, 217, 150, 213, 142, 205, 132, 195, 141, 204, 138, 201, 130, 193, 136, 199, 146, 209, 152, 215, 158, 221, 164, 227, 170, 233, 176, 239, 182, 245, 188, 251, 185, 248, 178, 241, 174, 237, 167, 230, 160, 223, 156, 219, 149, 212, 140, 203, 139, 202, 131, 194)
	L = (1, 129)(2, 133)(3, 135)(4, 136)(5, 127)(6, 141)(7, 143)(8, 128)(9, 145)(10, 146)(11, 147)(12, 130)(13, 131)(14, 139)(15, 138)(16, 132)(17, 137)(18, 134)(19, 151)(20, 152)(21, 153)(22, 144)(23, 140)(24, 142)(25, 157)(26, 158)(27, 159)(28, 150)(29, 148)(30, 149)(31, 163)(32, 164)(33, 165)(34, 156)(35, 154)(36, 155)(37, 169)(38, 170)(39, 171)(40, 162)(41, 160)(42, 161)(43, 175)(44, 176)(45, 177)(46, 168)(47, 166)(48, 167)(49, 181)(50, 182)(51, 183)(52, 174)(53, 172)(54, 173)(55, 187)(56, 188)(57, 189)(58, 180)(59, 178)(60, 179)(61, 184)(62, 185)(63, 186)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E21.1671
Graph:: bipartite
	v = 2 e = 126 f = 84
	degree seq :: [ 126^2 ]

E21.1671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^21, 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 * Y3^2, (Y3^-1 * Y1^-1)^63 ]
Map::
	R = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)(127, 190, 128, 191, 130, 193)(129, 192, 132, 195, 135, 198)(131, 194, 133, 196, 136, 199)(134, 197, 138, 201, 141, 204)(137, 200, 139, 202, 142, 205)(140, 203, 144, 207, 147, 210)(143, 206, 145, 208, 148, 211)(146, 209, 150, 213, 153, 216)(149, 212, 151, 214, 154, 217)(152, 215, 156, 219, 159, 222)(155, 218, 157, 220, 160, 223)(158, 221, 162, 225, 165, 228)(161, 224, 163, 226, 166, 229)(164, 227, 168, 231, 171, 234)(167, 230, 169, 232, 172, 235)(170, 233, 174, 237, 177, 240)(173, 236, 175, 238, 178, 241)(176, 239, 180, 243, 183, 246)(179, 242, 181, 244, 184, 247)(182, 245, 186, 249, 188, 251)(185, 248, 187, 250, 189, 252)
	L = (1, 129)(2, 132)(3, 134)(4, 135)(5, 127)(6, 138)(7, 128)(8, 140)(9, 141)(10, 130)(11, 131)(12, 144)(13, 133)(14, 146)(15, 147)(16, 136)(17, 137)(18, 150)(19, 139)(20, 152)(21, 153)(22, 142)(23, 143)(24, 156)(25, 145)(26, 158)(27, 159)(28, 148)(29, 149)(30, 162)(31, 151)(32, 164)(33, 165)(34, 154)(35, 155)(36, 168)(37, 157)(38, 170)(39, 171)(40, 160)(41, 161)(42, 174)(43, 163)(44, 176)(45, 177)(46, 166)(47, 167)(48, 180)(49, 169)(50, 182)(51, 183)(52, 172)(53, 173)(54, 186)(55, 175)(56, 187)(57, 188)(58, 178)(59, 179)(60, 189)(61, 181)(62, 185)(63, 184)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 126, 126 ), ( 126^6 ) }
Outer automorphisms :: reflexible
Dual of E21.1670
Graph:: simple bipartite
	v = 84 e = 126 f = 2
	degree seq :: [ 2^63, 6^21 ]

E21.1672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^-21, (Y1^-1 * Y3^-1)^63 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 12, 75, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 60, 123, 57, 120, 51, 114, 45, 108, 39, 102, 33, 96, 27, 90, 21, 84, 15, 78, 9, 72, 3, 66, 7, 70, 13, 76, 19, 82, 25, 88, 31, 94, 37, 100, 43, 106, 49, 112, 55, 118, 61, 124, 63, 126, 59, 122, 53, 116, 47, 110, 41, 104, 35, 98, 29, 92, 23, 86, 17, 80, 11, 74, 5, 68, 8, 71, 14, 77, 20, 83, 26, 89, 32, 95, 38, 101, 44, 107, 50, 113, 56, 119, 62, 125, 58, 121, 52, 115, 46, 109, 40, 103, 34, 97, 28, 91, 22, 85, 16, 79, 10, 73, 4, 67)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 131)(4, 135)(5, 127)(6, 139)(7, 134)(8, 128)(9, 137)(10, 141)(11, 130)(12, 145)(13, 140)(14, 132)(15, 143)(16, 147)(17, 136)(18, 151)(19, 146)(20, 138)(21, 149)(22, 153)(23, 142)(24, 157)(25, 152)(26, 144)(27, 155)(28, 159)(29, 148)(30, 163)(31, 158)(32, 150)(33, 161)(34, 165)(35, 154)(36, 169)(37, 164)(38, 156)(39, 167)(40, 171)(41, 160)(42, 175)(43, 170)(44, 162)(45, 173)(46, 177)(47, 166)(48, 181)(49, 176)(50, 168)(51, 179)(52, 183)(53, 172)(54, 187)(55, 182)(56, 174)(57, 185)(58, 186)(59, 178)(60, 189)(61, 188)(62, 180)(63, 184)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6, 126 ), ( 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126 ) }
Outer automorphisms :: reflexible
Dual of E21.1668
Graph:: bipartite
	v = 64 e = 126 f = 22
	degree seq :: [ 2^63, 126 ]

E21.1673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 63, 63})
Quotient :: dipole
Aut^+ = C63 (small group id <63, 2>)
Aut   = D126 (small group id <126, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-21, (Y1^-1 * Y3^-1)^63 ]
Map::
	R = (1, 64, 2, 65, 6, 69, 12, 75, 18, 81, 24, 87, 30, 93, 36, 99, 42, 105, 48, 111, 54, 117, 60, 123, 59, 122, 53, 116, 47, 110, 41, 104, 35, 98, 29, 92, 23, 86, 17, 80, 11, 74, 5, 68, 8, 71, 14, 77, 20, 83, 26, 89, 32, 95, 38, 101, 44, 107, 50, 113, 56, 119, 62, 125, 63, 126, 57, 120, 51, 114, 45, 108, 39, 102, 33, 96, 27, 90, 21, 84, 15, 78, 9, 72, 3, 66, 7, 70, 13, 76, 19, 82, 25, 88, 31, 94, 37, 100, 43, 106, 49, 112, 55, 118, 61, 124, 58, 121, 52, 115, 46, 109, 40, 103, 34, 97, 28, 91, 22, 85, 16, 79, 10, 73, 4, 67)(127, 190)(128, 191)(129, 192)(130, 193)(131, 194)(132, 195)(133, 196)(134, 197)(135, 198)(136, 199)(137, 200)(138, 201)(139, 202)(140, 203)(141, 204)(142, 205)(143, 206)(144, 207)(145, 208)(146, 209)(147, 210)(148, 211)(149, 212)(150, 213)(151, 214)(152, 215)(153, 216)(154, 217)(155, 218)(156, 219)(157, 220)(158, 221)(159, 222)(160, 223)(161, 224)(162, 225)(163, 226)(164, 227)(165, 228)(166, 229)(167, 230)(168, 231)(169, 232)(170, 233)(171, 234)(172, 235)(173, 236)(174, 237)(175, 238)(176, 239)(177, 240)(178, 241)(179, 242)(180, 243)(181, 244)(182, 245)(183, 246)(184, 247)(185, 248)(186, 249)(187, 250)(188, 251)(189, 252)
	L = (1, 129)(2, 133)(3, 131)(4, 135)(5, 127)(6, 139)(7, 134)(8, 128)(9, 137)(10, 141)(11, 130)(12, 145)(13, 140)(14, 132)(15, 143)(16, 147)(17, 136)(18, 151)(19, 146)(20, 138)(21, 149)(22, 153)(23, 142)(24, 157)(25, 152)(26, 144)(27, 155)(28, 159)(29, 148)(30, 163)(31, 158)(32, 150)(33, 161)(34, 165)(35, 154)(36, 169)(37, 164)(38, 156)(39, 167)(40, 171)(41, 160)(42, 175)(43, 170)(44, 162)(45, 173)(46, 177)(47, 166)(48, 181)(49, 176)(50, 168)(51, 179)(52, 183)(53, 172)(54, 187)(55, 182)(56, 174)(57, 185)(58, 189)(59, 178)(60, 184)(61, 188)(62, 180)(63, 186)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6, 126 ), ( 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126, 6, 126 ) }
Outer automorphisms :: reflexible
Dual of E21.1669
Graph:: bipartite
	v = 64 e = 126 f = 22
	degree seq :: [ 2^63, 126 ]

E21.1674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2 * Y1)^4, Y3^-1 * Y2 * Y1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 30, 94)(16, 80, 37, 101)(17, 81, 39, 103)(19, 83, 43, 107)(21, 85, 34, 98)(22, 86, 40, 104)(23, 87, 44, 108)(25, 89, 38, 102)(27, 91, 35, 99)(28, 92, 56, 120)(29, 93, 57, 121)(31, 95, 36, 100)(32, 96, 58, 122)(33, 97, 59, 123)(41, 105, 54, 118)(42, 106, 51, 115)(45, 109, 55, 119)(46, 110, 52, 116)(47, 111, 63, 127)(48, 112, 64, 128)(49, 113, 62, 126)(50, 114, 60, 124)(53, 117, 61, 125)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 159, 223)(143, 207, 162, 226)(146, 210, 168, 232)(147, 211, 166, 230)(148, 212, 172, 236)(150, 214, 175, 239)(151, 215, 176, 240)(152, 216, 178, 242)(154, 218, 181, 245)(156, 220, 183, 247)(157, 221, 182, 246)(158, 222, 177, 241)(160, 224, 180, 244)(161, 225, 179, 243)(163, 227, 188, 252)(164, 228, 189, 253)(165, 229, 191, 255)(167, 231, 192, 256)(169, 233, 186, 250)(170, 234, 184, 248)(171, 235, 190, 254)(173, 237, 187, 251)(174, 238, 185, 249)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 160)(15, 163)(16, 166)(17, 134)(18, 169)(19, 136)(20, 173)(21, 175)(22, 177)(23, 137)(24, 179)(25, 139)(26, 182)(27, 183)(28, 181)(29, 140)(30, 176)(31, 180)(32, 178)(33, 142)(34, 188)(35, 190)(36, 143)(37, 185)(38, 145)(39, 184)(40, 186)(41, 192)(42, 146)(43, 189)(44, 187)(45, 191)(46, 148)(47, 158)(48, 149)(49, 151)(50, 161)(51, 159)(52, 152)(53, 157)(54, 155)(55, 154)(56, 168)(57, 172)(58, 167)(59, 165)(60, 171)(61, 162)(62, 164)(63, 174)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1703
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^4, Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 11, 75)(6, 70, 12, 76)(7, 71, 13, 77)(8, 72, 14, 78)(15, 79, 24, 88)(16, 80, 27, 91)(17, 81, 30, 94)(18, 82, 25, 89)(19, 83, 33, 97)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 35, 99)(23, 87, 36, 100)(28, 92, 37, 101)(29, 93, 38, 102)(31, 95, 39, 103)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 133, 197)(135, 199, 136, 200)(137, 201, 143, 207)(138, 202, 146, 210)(139, 203, 149, 213)(140, 204, 152, 216)(141, 205, 155, 219)(142, 206, 158, 222)(144, 208, 145, 209)(147, 211, 148, 212)(150, 214, 151, 215)(153, 217, 154, 218)(156, 220, 157, 221)(159, 223, 160, 224)(161, 225, 163, 227)(162, 226, 164, 228)(165, 229, 167, 231)(166, 230, 168, 232)(169, 233, 170, 234)(171, 235, 172, 236)(173, 237, 174, 238)(175, 239, 176, 240)(177, 241, 179, 243)(178, 242, 180, 244)(181, 245, 183, 247)(182, 246, 184, 248)(185, 249, 186, 250)(187, 251, 188, 252)(189, 253, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 135)(3, 133)(4, 131)(5, 129)(6, 136)(7, 134)(8, 130)(9, 144)(10, 147)(11, 150)(12, 153)(13, 156)(14, 159)(15, 145)(16, 143)(17, 137)(18, 148)(19, 146)(20, 138)(21, 151)(22, 149)(23, 139)(24, 154)(25, 152)(26, 140)(27, 157)(28, 155)(29, 141)(30, 160)(31, 158)(32, 142)(33, 169)(34, 171)(35, 170)(36, 172)(37, 173)(38, 175)(39, 174)(40, 176)(41, 163)(42, 161)(43, 164)(44, 162)(45, 167)(46, 165)(47, 168)(48, 166)(49, 185)(50, 187)(51, 186)(52, 188)(53, 189)(54, 191)(55, 190)(56, 192)(57, 179)(58, 177)(59, 180)(60, 178)(61, 183)(62, 181)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1704
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y2 * R)^2, (Y2 * Y1)^4, Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 30, 94)(16, 80, 37, 101)(17, 81, 39, 103)(19, 83, 43, 107)(21, 85, 34, 98)(22, 86, 40, 104)(23, 87, 44, 108)(25, 89, 38, 102)(27, 91, 35, 99)(28, 92, 56, 120)(29, 93, 57, 121)(31, 95, 36, 100)(32, 96, 58, 122)(33, 97, 59, 123)(41, 105, 52, 116)(42, 106, 55, 119)(45, 109, 51, 115)(46, 110, 54, 118)(47, 111, 63, 127)(48, 112, 64, 128)(49, 113, 62, 126)(50, 114, 60, 124)(53, 117, 61, 125)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 159, 223)(143, 207, 162, 226)(146, 210, 168, 232)(147, 211, 166, 230)(148, 212, 172, 236)(150, 214, 175, 239)(151, 215, 176, 240)(152, 216, 178, 242)(154, 218, 181, 245)(156, 220, 183, 247)(157, 221, 182, 246)(158, 222, 177, 241)(160, 224, 180, 244)(161, 225, 179, 243)(163, 227, 188, 252)(164, 228, 189, 253)(165, 229, 191, 255)(167, 231, 192, 256)(169, 233, 185, 249)(170, 234, 187, 251)(171, 235, 190, 254)(173, 237, 184, 248)(174, 238, 186, 250)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 160)(15, 163)(16, 166)(17, 134)(18, 169)(19, 136)(20, 173)(21, 175)(22, 177)(23, 137)(24, 179)(25, 139)(26, 182)(27, 183)(28, 181)(29, 140)(30, 176)(31, 180)(32, 178)(33, 142)(34, 188)(35, 190)(36, 143)(37, 186)(38, 145)(39, 187)(40, 185)(41, 192)(42, 146)(43, 189)(44, 184)(45, 191)(46, 148)(47, 158)(48, 149)(49, 151)(50, 161)(51, 159)(52, 152)(53, 157)(54, 155)(55, 154)(56, 165)(57, 167)(58, 172)(59, 168)(60, 171)(61, 162)(62, 164)(63, 174)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1701
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y3^4, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, (Y3^-1 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 13, 77)(7, 71, 17, 81)(8, 72, 18, 82)(10, 74, 20, 84)(11, 75, 22, 86)(15, 79, 27, 91)(16, 80, 28, 92)(19, 83, 21, 85)(23, 87, 33, 97)(24, 88, 34, 98)(25, 89, 35, 99)(26, 90, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(31, 95, 39, 103)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 143, 207)(136, 200, 144, 208)(137, 201, 147, 211)(140, 204, 142, 206)(141, 205, 149, 213)(145, 209, 146, 210)(148, 212, 150, 214)(151, 215, 153, 217)(152, 216, 154, 218)(155, 219, 156, 220)(157, 221, 159, 223)(158, 222, 160, 224)(161, 225, 162, 226)(163, 227, 164, 228)(165, 229, 166, 230)(167, 231, 168, 232)(169, 233, 171, 235)(170, 234, 172, 236)(173, 237, 175, 239)(174, 238, 176, 240)(177, 241, 178, 242)(179, 243, 180, 244)(181, 245, 182, 246)(183, 247, 184, 248)(185, 249, 187, 251)(186, 250, 188, 252)(189, 253, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 143)(7, 137)(8, 130)(9, 136)(10, 149)(11, 131)(12, 151)(13, 133)(14, 153)(15, 147)(16, 134)(17, 157)(18, 159)(19, 144)(20, 152)(21, 139)(22, 154)(23, 148)(24, 140)(25, 150)(26, 142)(27, 158)(28, 160)(29, 155)(30, 145)(31, 156)(32, 146)(33, 169)(34, 171)(35, 170)(36, 172)(37, 173)(38, 175)(39, 174)(40, 176)(41, 163)(42, 161)(43, 164)(44, 162)(45, 167)(46, 165)(47, 168)(48, 166)(49, 185)(50, 187)(51, 186)(52, 188)(53, 189)(54, 191)(55, 190)(56, 192)(57, 179)(58, 177)(59, 180)(60, 178)(61, 183)(62, 181)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1702
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 24, 88)(14, 78, 27, 91)(15, 79, 29, 93)(17, 81, 32, 96)(20, 84, 37, 101)(22, 86, 40, 104)(23, 87, 42, 106)(25, 89, 45, 109)(26, 90, 47, 111)(28, 92, 48, 112)(30, 94, 39, 103)(31, 95, 36, 100)(33, 97, 38, 102)(34, 98, 35, 99)(41, 105, 50, 114)(43, 107, 49, 113)(44, 108, 52, 116)(46, 110, 51, 115)(53, 117, 60, 124)(54, 118, 58, 122)(55, 119, 57, 121)(56, 120, 61, 125)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 137, 201)(133, 197, 138, 202)(135, 199, 142, 206)(136, 200, 143, 207)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 157, 221)(150, 214, 163, 227)(151, 215, 164, 228)(152, 216, 165, 229)(153, 217, 166, 230)(154, 218, 167, 231)(158, 222, 175, 239)(159, 223, 170, 234)(160, 224, 176, 240)(161, 225, 173, 237)(162, 226, 168, 232)(169, 233, 181, 245)(171, 235, 182, 246)(172, 236, 183, 247)(174, 238, 184, 248)(177, 241, 186, 250)(178, 242, 188, 252)(179, 243, 189, 253)(180, 244, 185, 249)(187, 251, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 153)(14, 156)(15, 134)(16, 158)(17, 136)(18, 161)(19, 163)(20, 138)(21, 166)(22, 169)(23, 139)(24, 171)(25, 174)(26, 141)(27, 175)(28, 143)(29, 173)(30, 177)(31, 144)(32, 178)(33, 180)(34, 146)(35, 181)(36, 147)(37, 182)(38, 184)(39, 149)(40, 157)(41, 151)(42, 155)(43, 187)(44, 152)(45, 185)(46, 154)(47, 186)(48, 188)(49, 159)(50, 190)(51, 160)(52, 162)(53, 164)(54, 191)(55, 165)(56, 167)(57, 168)(58, 170)(59, 172)(60, 192)(61, 176)(62, 179)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1705
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 24, 88)(14, 78, 27, 91)(15, 79, 28, 92)(17, 81, 20, 84)(22, 86, 33, 97)(23, 87, 34, 98)(25, 89, 35, 99)(26, 90, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(31, 95, 39, 103)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 137, 201)(133, 197, 138, 202)(135, 199, 142, 206)(136, 200, 143, 207)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 155, 219)(145, 209, 152, 216)(146, 210, 156, 220)(150, 214, 154, 218)(151, 215, 153, 217)(157, 221, 160, 224)(158, 222, 159, 223)(161, 225, 164, 228)(162, 226, 163, 227)(165, 229, 168, 232)(166, 230, 167, 231)(169, 233, 172, 236)(170, 234, 171, 235)(173, 237, 176, 240)(174, 238, 175, 239)(177, 241, 180, 244)(178, 242, 179, 243)(181, 245, 184, 248)(182, 246, 183, 247)(185, 249, 188, 252)(186, 250, 187, 251)(189, 253, 192, 256)(190, 254, 191, 255)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 153)(14, 152)(15, 134)(16, 157)(17, 136)(18, 159)(19, 154)(20, 138)(21, 151)(22, 149)(23, 139)(24, 143)(25, 147)(26, 141)(27, 160)(28, 158)(29, 156)(30, 144)(31, 155)(32, 146)(33, 169)(34, 171)(35, 170)(36, 172)(37, 173)(38, 175)(39, 174)(40, 176)(41, 163)(42, 161)(43, 164)(44, 162)(45, 167)(46, 165)(47, 168)(48, 166)(49, 185)(50, 187)(51, 186)(52, 188)(53, 189)(54, 191)(55, 190)(56, 192)(57, 179)(58, 177)(59, 180)(60, 178)(61, 183)(62, 181)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1706
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (Y1 * Y2)^2, (R * Y2)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 24, 88)(14, 78, 27, 91)(15, 79, 29, 93)(17, 81, 32, 96)(20, 84, 37, 101)(22, 86, 40, 104)(23, 87, 42, 106)(25, 89, 45, 109)(26, 90, 47, 111)(28, 92, 48, 112)(30, 94, 35, 99)(31, 95, 38, 102)(33, 97, 36, 100)(34, 98, 39, 103)(41, 105, 50, 114)(43, 107, 49, 113)(44, 108, 52, 116)(46, 110, 51, 115)(53, 117, 60, 124)(54, 118, 57, 121)(55, 119, 58, 122)(56, 120, 61, 125)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 137, 201)(133, 197, 138, 202)(135, 199, 142, 206)(136, 200, 143, 207)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 157, 221)(150, 214, 163, 227)(151, 215, 164, 228)(152, 216, 165, 229)(153, 217, 166, 230)(154, 218, 167, 231)(158, 222, 168, 232)(159, 223, 173, 237)(160, 224, 176, 240)(161, 225, 170, 234)(162, 226, 175, 239)(169, 233, 181, 245)(171, 235, 182, 246)(172, 236, 183, 247)(174, 238, 184, 248)(177, 241, 185, 249)(178, 242, 188, 252)(179, 243, 189, 253)(180, 244, 186, 250)(187, 251, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 153)(14, 156)(15, 134)(16, 158)(17, 136)(18, 161)(19, 163)(20, 138)(21, 166)(22, 169)(23, 139)(24, 171)(25, 174)(26, 141)(27, 168)(28, 143)(29, 170)(30, 177)(31, 144)(32, 178)(33, 180)(34, 146)(35, 181)(36, 147)(37, 182)(38, 184)(39, 149)(40, 185)(41, 151)(42, 186)(43, 187)(44, 152)(45, 155)(46, 154)(47, 157)(48, 188)(49, 159)(50, 190)(51, 160)(52, 162)(53, 164)(54, 191)(55, 165)(56, 167)(57, 173)(58, 175)(59, 172)(60, 192)(61, 176)(62, 179)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1707
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, (Y3 * Y2^-2)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^2 * Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y3^-1 * Y2^-2 * Y1 * Y2 * Y3 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(24, 88, 52, 116)(35, 99, 59, 123)(36, 100, 55, 119)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 51, 115)(41, 105, 60, 124)(42, 106, 64, 128)(43, 107, 63, 127)(44, 108, 50, 114)(45, 109, 56, 120)(46, 110, 62, 126)(47, 111, 61, 125)(48, 112, 58, 122)(49, 113, 57, 121)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 166)(13, 169)(14, 131)(15, 173)(16, 134)(17, 175)(18, 157)(19, 174)(20, 133)(21, 151)(22, 158)(23, 143)(24, 181)(25, 184)(26, 135)(27, 188)(28, 138)(29, 190)(30, 145)(31, 189)(32, 137)(33, 139)(34, 146)(35, 191)(36, 178)(37, 182)(38, 180)(39, 140)(40, 185)(41, 142)(42, 186)(43, 187)(44, 183)(45, 149)(46, 148)(47, 150)(48, 192)(49, 179)(50, 176)(51, 163)(52, 167)(53, 165)(54, 152)(55, 170)(56, 154)(57, 171)(58, 172)(59, 168)(60, 161)(61, 160)(62, 162)(63, 177)(64, 164)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1695
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (Y3 * Y1)^2, Y3^-1 * Y2^2 * Y1, Y3^4, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * Y3^-1 * R * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 12, 76)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 19, 83)(13, 77, 21, 85)(14, 78, 20, 84)(15, 79, 22, 86)(16, 80, 24, 88)(17, 81, 23, 87)(25, 89, 33, 97)(26, 90, 34, 98)(27, 91, 35, 99)(28, 92, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(31, 95, 39, 103)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 134, 198, 137, 201)(132, 196, 142, 206, 150, 214, 144, 208)(136, 200, 149, 213, 143, 207, 151, 215)(139, 203, 153, 217, 141, 205, 154, 218)(140, 204, 155, 219, 145, 209, 156, 220)(146, 210, 157, 221, 148, 212, 158, 222)(147, 211, 159, 223, 152, 216, 160, 224)(161, 225, 169, 233, 163, 227, 170, 234)(162, 226, 171, 235, 164, 228, 172, 236)(165, 229, 173, 237, 167, 231, 174, 238)(166, 230, 175, 239, 168, 232, 176, 240)(177, 241, 185, 249, 179, 243, 186, 250)(178, 242, 187, 251, 180, 244, 188, 252)(181, 245, 189, 253, 183, 247, 190, 254)(182, 246, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 139)(6, 129)(7, 147)(8, 150)(9, 146)(10, 130)(11, 149)(12, 151)(13, 131)(14, 152)(15, 134)(16, 148)(17, 133)(18, 142)(19, 144)(20, 135)(21, 145)(22, 138)(23, 141)(24, 137)(25, 162)(26, 161)(27, 164)(28, 163)(29, 166)(30, 165)(31, 168)(32, 167)(33, 155)(34, 156)(35, 153)(36, 154)(37, 159)(38, 160)(39, 157)(40, 158)(41, 178)(42, 177)(43, 180)(44, 179)(45, 182)(46, 181)(47, 184)(48, 183)(49, 171)(50, 172)(51, 169)(52, 170)(53, 175)(54, 176)(55, 173)(56, 174)(57, 191)(58, 189)(59, 192)(60, 190)(61, 187)(62, 185)(63, 188)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1697
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y3 * Y2^-2)^2, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, Y3^2 * Y2^2 * Y1 * Y2^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(24, 88, 52, 116)(35, 99, 57, 121)(36, 100, 58, 122)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 63, 127)(41, 105, 60, 124)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 64, 128)(45, 109, 56, 120)(46, 110, 62, 126)(47, 111, 61, 125)(48, 112, 55, 119)(49, 113, 59, 123)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 166)(13, 169)(14, 131)(15, 173)(16, 134)(17, 175)(18, 157)(19, 174)(20, 133)(21, 151)(22, 158)(23, 143)(24, 181)(25, 184)(26, 135)(27, 188)(28, 138)(29, 190)(30, 145)(31, 189)(32, 137)(33, 139)(34, 146)(35, 179)(36, 192)(37, 182)(38, 180)(39, 140)(40, 187)(41, 142)(42, 183)(43, 185)(44, 186)(45, 149)(46, 148)(47, 150)(48, 178)(49, 191)(50, 164)(51, 177)(52, 167)(53, 165)(54, 152)(55, 172)(56, 154)(57, 168)(58, 170)(59, 171)(60, 161)(61, 160)(62, 162)(63, 163)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1696
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, Y3 * Y2^2 * Y1, Y2 * Y3^-1 * Y1 * Y2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2^-1 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 13, 77)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 20, 84)(12, 76, 23, 87)(14, 78, 21, 85)(15, 79, 24, 88)(16, 80, 19, 83)(17, 81, 22, 86)(25, 89, 33, 97)(26, 90, 35, 99)(27, 91, 34, 98)(28, 92, 36, 100)(29, 93, 37, 101)(30, 94, 39, 103)(31, 95, 38, 102)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 51, 115)(43, 107, 50, 114)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195, 136, 200, 133, 197)(130, 194, 135, 199, 132, 196, 137, 201)(134, 198, 144, 208, 149, 213, 145, 209)(138, 202, 151, 215, 142, 206, 152, 216)(139, 203, 153, 217, 140, 204, 154, 218)(141, 205, 155, 219, 143, 207, 156, 220)(146, 210, 157, 221, 147, 211, 158, 222)(148, 212, 159, 223, 150, 214, 160, 224)(161, 225, 169, 233, 162, 226, 170, 234)(163, 227, 171, 235, 164, 228, 172, 236)(165, 229, 173, 237, 166, 230, 174, 238)(167, 231, 175, 239, 168, 232, 176, 240)(177, 241, 185, 249, 178, 242, 186, 250)(179, 243, 187, 251, 180, 244, 188, 252)(181, 245, 189, 253, 182, 246, 190, 254)(183, 247, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 147)(8, 149)(9, 150)(10, 130)(11, 133)(12, 152)(13, 131)(14, 134)(15, 151)(16, 146)(17, 148)(18, 137)(19, 145)(20, 135)(21, 138)(22, 144)(23, 139)(24, 141)(25, 162)(26, 164)(27, 161)(28, 163)(29, 166)(30, 168)(31, 165)(32, 167)(33, 154)(34, 156)(35, 153)(36, 155)(37, 158)(38, 160)(39, 157)(40, 159)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 170)(50, 172)(51, 169)(52, 171)(53, 174)(54, 176)(55, 173)(56, 175)(57, 190)(58, 192)(59, 189)(60, 191)(61, 186)(62, 188)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1694
Graph:: bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 36, 100)(23, 87, 44, 108)(24, 88, 39, 103)(26, 90, 40, 104)(27, 91, 42, 106)(28, 92, 35, 99)(29, 93, 37, 101)(30, 94, 43, 107)(31, 95, 38, 102)(32, 96, 41, 105)(33, 97, 34, 98)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 59, 123)(48, 112, 58, 122)(49, 113, 60, 124)(50, 114, 56, 120)(51, 115, 55, 119)(52, 116, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 154)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 165)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 170)(24, 163)(25, 168)(26, 138)(27, 172)(28, 167)(29, 164)(30, 169)(31, 162)(32, 171)(33, 166)(34, 159)(35, 152)(36, 157)(37, 145)(38, 161)(39, 156)(40, 153)(41, 158)(42, 151)(43, 160)(44, 155)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 176)(54, 178)(55, 180)(56, 173)(57, 179)(58, 174)(59, 177)(60, 175)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1699
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-2 * Y3 * Y2^-2 * Y1, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, (Y1 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 30, 94)(23, 87, 33, 97)(24, 88, 35, 99)(26, 90, 34, 98)(27, 91, 36, 100)(28, 92, 37, 101)(29, 93, 39, 103)(31, 95, 38, 102)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 51, 115)(43, 107, 50, 114)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(60, 124, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 153, 217, 141, 205)(135, 199, 147, 211, 158, 222, 148, 212)(137, 201, 151, 215, 143, 207, 152, 216)(139, 203, 154, 218, 142, 206, 155, 219)(144, 208, 156, 220, 150, 214, 157, 221)(146, 210, 159, 223, 149, 213, 160, 224)(161, 225, 169, 233, 164, 228, 170, 234)(162, 226, 171, 235, 163, 227, 172, 236)(165, 229, 173, 237, 168, 232, 174, 238)(166, 230, 175, 239, 167, 231, 176, 240)(177, 241, 185, 249, 180, 244, 186, 250)(178, 242, 187, 251, 179, 243, 188, 252)(181, 245, 189, 253, 184, 248, 190, 254)(182, 246, 191, 255, 183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 145)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 138)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 162)(24, 164)(25, 158)(26, 161)(27, 163)(28, 166)(29, 168)(30, 153)(31, 165)(32, 167)(33, 154)(34, 151)(35, 155)(36, 152)(37, 159)(38, 156)(39, 160)(40, 157)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 171)(50, 169)(51, 172)(52, 170)(53, 175)(54, 173)(55, 176)(56, 174)(57, 191)(58, 190)(59, 189)(60, 192)(61, 187)(62, 186)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1698
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 36, 100)(23, 87, 38, 102)(24, 88, 43, 107)(26, 90, 40, 104)(27, 91, 34, 98)(28, 92, 41, 105)(29, 93, 37, 101)(30, 94, 39, 103)(31, 95, 44, 108)(32, 96, 35, 99)(33, 97, 42, 106)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 59, 123)(48, 112, 58, 122)(49, 113, 60, 124)(50, 114, 56, 120)(51, 115, 55, 119)(52, 116, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 154)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 165)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 162)(24, 169)(25, 168)(26, 138)(27, 166)(28, 171)(29, 164)(30, 163)(31, 170)(32, 167)(33, 172)(34, 151)(35, 158)(36, 157)(37, 145)(38, 155)(39, 160)(40, 153)(41, 152)(42, 159)(43, 156)(44, 161)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 176)(54, 178)(55, 180)(56, 173)(57, 179)(58, 174)(59, 177)(60, 175)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1700
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 27, 91)(20, 84, 28, 92)(21, 85, 29, 93)(22, 86, 30, 94)(23, 87, 31, 95)(24, 88, 32, 96)(25, 89, 33, 97)(26, 90, 34, 98)(35, 99, 48, 112)(36, 100, 49, 113)(37, 101, 50, 114)(38, 102, 44, 108)(39, 103, 42, 106)(40, 104, 51, 115)(41, 105, 47, 111)(43, 107, 46, 110)(45, 109, 52, 116)(53, 117, 60, 124)(54, 118, 58, 122)(55, 119, 57, 121)(56, 120, 61, 125)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 173, 237, 154, 218)(143, 207, 156, 220, 178, 242, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 169, 233, 182, 246, 170, 234)(152, 216, 171, 235, 183, 247, 172, 236)(155, 219, 176, 240, 188, 252, 177, 241)(159, 223, 175, 239, 186, 250, 167, 231)(160, 224, 174, 238, 185, 249, 166, 230)(168, 232, 184, 248, 191, 255, 187, 251)(179, 243, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 174)(26, 175)(27, 142)(28, 172)(29, 170)(30, 179)(31, 144)(32, 145)(33, 171)(34, 169)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 162)(42, 157)(43, 161)(44, 156)(45, 187)(46, 153)(47, 154)(48, 186)(49, 185)(50, 189)(51, 158)(52, 190)(53, 191)(54, 163)(55, 164)(56, 165)(57, 177)(58, 176)(59, 173)(60, 192)(61, 178)(62, 180)(63, 181)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1691
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2^-2 * Y1 * Y3 * Y2^-2, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 22, 86)(20, 84, 26, 90)(21, 85, 25, 89)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 36, 100)(30, 94, 35, 99)(31, 95, 34, 98)(32, 96, 33, 97)(37, 101, 40, 104)(38, 102, 39, 103)(41, 105, 44, 108)(42, 106, 43, 107)(45, 109, 48, 112)(46, 110, 47, 111)(49, 113, 52, 116)(50, 114, 51, 115)(53, 117, 56, 120)(54, 118, 55, 119)(57, 121, 60, 124)(58, 122, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 147, 211, 145, 209)(138, 202, 148, 212, 146, 210, 149, 213)(141, 205, 153, 217, 143, 207, 154, 218)(151, 215, 159, 223, 156, 220, 160, 224)(152, 216, 161, 225, 155, 219, 162, 226)(157, 221, 165, 229, 163, 227, 166, 230)(158, 222, 167, 231, 164, 228, 168, 232)(169, 233, 177, 241, 171, 235, 178, 242)(170, 234, 179, 243, 172, 236, 180, 244)(173, 237, 181, 245, 175, 239, 182, 246)(174, 238, 183, 247, 176, 240, 184, 248)(185, 249, 189, 253, 187, 251, 191, 255)(186, 250, 190, 254, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 150)(15, 134)(16, 155)(17, 156)(18, 136)(19, 137)(20, 157)(21, 158)(22, 142)(23, 139)(24, 140)(25, 163)(26, 164)(27, 144)(28, 145)(29, 148)(30, 149)(31, 169)(32, 170)(33, 171)(34, 172)(35, 153)(36, 154)(37, 173)(38, 174)(39, 175)(40, 176)(41, 159)(42, 160)(43, 161)(44, 162)(45, 165)(46, 166)(47, 167)(48, 168)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1692
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y1 * Y2^-1 * Y1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 27, 91)(20, 84, 28, 92)(21, 85, 29, 93)(22, 86, 30, 94)(23, 87, 31, 95)(24, 88, 32, 96)(25, 89, 33, 97)(26, 90, 34, 98)(35, 99, 48, 112)(36, 100, 49, 113)(37, 101, 50, 114)(38, 102, 41, 105)(39, 103, 43, 107)(40, 104, 51, 115)(42, 106, 46, 110)(44, 108, 47, 111)(45, 109, 52, 116)(53, 117, 60, 124)(54, 118, 57, 121)(55, 119, 58, 122)(56, 120, 61, 125)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 173, 237, 154, 218)(143, 207, 156, 220, 178, 242, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 169, 233, 182, 246, 170, 234)(152, 216, 171, 235, 183, 247, 172, 236)(155, 219, 176, 240, 188, 252, 177, 241)(159, 223, 166, 230, 185, 249, 174, 238)(160, 224, 167, 231, 186, 250, 175, 239)(168, 232, 184, 248, 191, 255, 187, 251)(179, 243, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 174)(26, 175)(27, 142)(28, 169)(29, 171)(30, 179)(31, 144)(32, 145)(33, 170)(34, 172)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 156)(42, 161)(43, 157)(44, 162)(45, 187)(46, 153)(47, 154)(48, 185)(49, 186)(50, 189)(51, 158)(52, 190)(53, 191)(54, 163)(55, 164)(56, 165)(57, 176)(58, 177)(59, 173)(60, 192)(61, 178)(62, 180)(63, 181)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1693
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3 * Y2 * Y1^-2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3, (Y3 * Y1^-1)^4, (Y1^-1 * Y2)^4, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 13, 77, 4, 68, 12, 76, 30, 94, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 44, 108, 22, 86)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 58, 122, 36, 100)(26, 90, 47, 111, 54, 118, 42, 106, 27, 91, 48, 112, 55, 119, 43, 107)(28, 92, 49, 113, 56, 120, 41, 105, 29, 93, 50, 114, 57, 121, 40, 104)(45, 109, 59, 123, 63, 127, 62, 126, 46, 110, 60, 124, 64, 128, 61, 125)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 156, 220)(140, 204, 155, 219)(141, 205, 157, 221)(143, 207, 145, 209)(144, 208, 147, 211)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 169, 233)(152, 216, 171, 235)(153, 217, 173, 237)(158, 222, 174, 238)(159, 223, 178, 242)(160, 224, 175, 239)(161, 225, 177, 241)(162, 226, 176, 240)(163, 227, 182, 246)(164, 228, 184, 248)(165, 229, 183, 247)(166, 230, 185, 249)(167, 231, 187, 251)(172, 236, 188, 252)(179, 243, 189, 253)(180, 244, 190, 254)(181, 245, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 157)(12, 154)(13, 156)(14, 145)(15, 133)(16, 146)(17, 142)(18, 144)(19, 134)(20, 169)(21, 135)(22, 171)(23, 168)(24, 170)(25, 174)(26, 140)(27, 137)(28, 141)(29, 139)(30, 173)(31, 177)(32, 176)(33, 178)(34, 175)(35, 183)(36, 185)(37, 182)(38, 184)(39, 188)(40, 151)(41, 148)(42, 152)(43, 150)(44, 187)(45, 158)(46, 153)(47, 162)(48, 160)(49, 159)(50, 161)(51, 190)(52, 189)(53, 192)(54, 165)(55, 163)(56, 166)(57, 164)(58, 191)(59, 172)(60, 167)(61, 180)(62, 179)(63, 186)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1688
Graph:: bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1^-2 * Y2 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 45, 109, 52, 116, 40, 104, 19, 83, 11, 75)(4, 68, 12, 76, 31, 95, 49, 113, 53, 117, 39, 103, 18, 82, 13, 77)(7, 71, 20, 84, 15, 79, 33, 97, 51, 115, 56, 120, 37, 101, 22, 86)(8, 72, 23, 87, 14, 78, 32, 96, 50, 114, 55, 119, 36, 100, 24, 88)(10, 74, 21, 85, 38, 102, 54, 118, 62, 126, 61, 125, 46, 110, 28, 92)(26, 90, 42, 106, 30, 94, 43, 107, 58, 122, 63, 127, 60, 124, 47, 111)(27, 91, 41, 105, 29, 93, 44, 108, 57, 121, 64, 128, 59, 123, 48, 112)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 157, 221)(140, 204, 155, 219)(141, 205, 158, 222)(143, 207, 156, 220)(144, 208, 159, 223)(145, 209, 164, 228)(147, 211, 166, 230)(148, 212, 169, 233)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(153, 217, 174, 238)(160, 224, 176, 240)(161, 225, 175, 239)(162, 226, 179, 243)(163, 227, 180, 244)(165, 229, 182, 246)(167, 231, 185, 249)(168, 232, 186, 250)(173, 237, 187, 251)(177, 241, 188, 252)(178, 242, 189, 253)(181, 245, 190, 254)(183, 247, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 158)(12, 154)(13, 157)(14, 156)(15, 133)(16, 153)(17, 165)(18, 166)(19, 134)(20, 170)(21, 135)(22, 172)(23, 169)(24, 171)(25, 144)(26, 140)(27, 137)(28, 142)(29, 141)(30, 139)(31, 174)(32, 175)(33, 176)(34, 178)(35, 181)(36, 182)(37, 145)(38, 146)(39, 186)(40, 185)(41, 151)(42, 148)(43, 152)(44, 150)(45, 188)(46, 159)(47, 160)(48, 161)(49, 187)(50, 162)(51, 189)(52, 190)(53, 163)(54, 164)(55, 192)(56, 191)(57, 168)(58, 167)(59, 177)(60, 173)(61, 179)(62, 180)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1689
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3, Y1^-2 * Y2 * Y1^2 * Y3, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^8, (Y3 * Y1^-1)^4, (Y1^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 19, 83, 40, 104, 54, 118, 50, 114, 30, 94, 11, 75)(4, 68, 12, 76, 18, 82, 38, 102, 55, 119, 51, 115, 31, 95, 13, 77)(7, 71, 20, 84, 37, 101, 58, 122, 53, 117, 33, 97, 15, 79, 22, 86)(8, 72, 23, 87, 36, 100, 56, 120, 52, 116, 32, 96, 14, 78, 24, 88)(10, 74, 21, 85, 39, 103, 57, 121, 64, 128, 63, 127, 49, 113, 27, 91)(25, 89, 45, 109, 59, 123, 43, 107, 62, 126, 42, 106, 29, 93, 46, 110)(26, 90, 47, 111, 60, 124, 44, 108, 61, 125, 41, 105, 28, 92, 48, 112)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 156, 220)(140, 204, 154, 218)(141, 205, 157, 221)(143, 207, 155, 219)(144, 208, 159, 223)(145, 209, 164, 228)(147, 211, 167, 231)(148, 212, 169, 233)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(158, 222, 177, 241)(160, 224, 173, 237)(161, 225, 175, 239)(162, 226, 181, 245)(163, 227, 182, 246)(165, 229, 185, 249)(166, 230, 187, 251)(168, 232, 188, 252)(174, 238, 186, 250)(176, 240, 184, 248)(178, 242, 190, 254)(179, 243, 189, 253)(180, 244, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 153)(13, 156)(14, 155)(15, 133)(16, 158)(17, 165)(18, 167)(19, 134)(20, 170)(21, 135)(22, 172)(23, 169)(24, 171)(25, 140)(26, 137)(27, 142)(28, 141)(29, 139)(30, 144)(31, 177)(32, 175)(33, 173)(34, 180)(35, 183)(36, 185)(37, 145)(38, 188)(39, 146)(40, 187)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 184)(47, 160)(48, 186)(49, 159)(50, 189)(51, 190)(52, 162)(53, 191)(54, 192)(55, 163)(56, 174)(57, 164)(58, 176)(59, 168)(60, 166)(61, 178)(62, 179)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1690
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y3 * Y2 * Y1 * Y3 * Y1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y1 * Y2 * Y1^-1 * Y2)^2, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 41, 105, 39, 103, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 45, 109, 56, 120, 50, 114, 34, 98, 13, 77)(4, 68, 15, 79, 35, 99, 51, 115, 57, 121, 48, 112, 27, 91, 17, 81)(6, 70, 22, 86, 38, 102, 54, 118, 58, 122, 47, 111, 26, 90, 23, 87)(8, 72, 28, 92, 42, 106, 59, 123, 52, 116, 36, 100, 18, 82, 29, 93)(9, 73, 14, 78, 21, 85, 40, 104, 55, 119, 62, 126, 44, 108, 31, 95)(10, 74, 12, 76, 19, 83, 37, 101, 53, 117, 61, 125, 43, 107, 32, 96)(16, 80, 30, 94, 46, 110, 60, 124, 64, 128, 63, 127, 49, 113, 33, 97)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 151, 215)(138, 202, 145, 209)(139, 203, 158, 222)(141, 205, 161, 225)(143, 207, 147, 211)(144, 208, 157, 221)(148, 212, 162, 226)(149, 213, 150, 214)(152, 216, 170, 234)(154, 218, 160, 224)(155, 219, 159, 223)(156, 220, 174, 238)(163, 227, 168, 232)(164, 228, 177, 241)(165, 229, 166, 230)(167, 231, 180, 244)(169, 233, 184, 248)(171, 235, 176, 240)(172, 236, 175, 239)(173, 237, 188, 252)(178, 242, 191, 255)(179, 243, 181, 245)(182, 246, 183, 247)(185, 249, 190, 254)(186, 250, 189, 253)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 145)(9, 158)(10, 130)(11, 151)(12, 157)(13, 143)(14, 131)(15, 146)(16, 134)(17, 139)(18, 150)(19, 161)(20, 166)(21, 133)(22, 141)(23, 136)(24, 171)(25, 159)(26, 174)(27, 135)(28, 160)(29, 142)(30, 138)(31, 156)(32, 153)(33, 149)(34, 168)(35, 148)(36, 165)(37, 162)(38, 177)(39, 183)(40, 164)(41, 185)(42, 175)(43, 188)(44, 152)(45, 176)(46, 155)(47, 173)(48, 170)(49, 163)(50, 182)(51, 178)(52, 179)(53, 167)(54, 180)(55, 191)(56, 189)(57, 192)(58, 169)(59, 190)(60, 172)(61, 187)(62, 184)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1684
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y3, (Y1^-1 * R * Y2)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3 * Y1)^2, (Y3 * Y1^-2)^2, Y3^-1 * Y1 * Y2 * Y1^2 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^2, Y1 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y3^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 55, 119, 53, 117, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 47, 111, 59, 123, 48, 112, 41, 105, 13, 77)(4, 68, 15, 79, 45, 109, 29, 93, 57, 121, 40, 104, 27, 91, 17, 81)(6, 70, 22, 86, 52, 116, 31, 95, 58, 122, 42, 106, 26, 90, 23, 87)(8, 72, 28, 92, 46, 110, 60, 124, 49, 113, 50, 114, 18, 82, 30, 94)(9, 73, 32, 96, 21, 85, 54, 118, 44, 108, 14, 78, 43, 107, 34, 98)(10, 74, 35, 99, 19, 83, 51, 115, 38, 102, 12, 76, 37, 101, 36, 100)(16, 80, 33, 97, 56, 120, 61, 125, 64, 128, 62, 126, 63, 127, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 161, 225)(141, 205, 167, 231)(143, 207, 165, 229)(144, 208, 158, 222)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 171, 235)(151, 215, 172, 236)(152, 216, 174, 238)(154, 218, 179, 243)(155, 219, 182, 246)(156, 220, 184, 248)(160, 224, 185, 249)(162, 226, 173, 237)(163, 227, 186, 250)(164, 228, 180, 244)(175, 239, 189, 253)(176, 240, 190, 254)(177, 241, 181, 245)(178, 242, 191, 255)(183, 247, 187, 251)(188, 252, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 159)(12, 158)(13, 168)(14, 131)(15, 174)(16, 134)(17, 176)(18, 170)(19, 167)(20, 180)(21, 133)(22, 175)(23, 177)(24, 165)(25, 182)(26, 184)(27, 135)(28, 179)(29, 139)(30, 142)(31, 136)(32, 187)(33, 138)(34, 178)(35, 188)(36, 169)(37, 189)(38, 181)(39, 149)(40, 146)(41, 162)(42, 141)(43, 152)(44, 190)(45, 148)(46, 150)(47, 143)(48, 151)(49, 145)(50, 164)(51, 153)(52, 191)(53, 172)(54, 156)(55, 185)(56, 155)(57, 192)(58, 183)(59, 163)(60, 160)(61, 171)(62, 166)(63, 173)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1681
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, Y1^-1 * Y2 * Y3^2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^2 * Y1 * Y3, Y3^-2 * Y2 * Y1^-1 * Y2 * Y1, (Y3 * Y1^-2)^2, (Y1^-1 * R * Y2)^2, (Y1 * Y3 * Y1)^2, Y1 * Y3 * Y1^-2 * Y2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 55, 119, 53, 117, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 46, 110, 60, 124, 49, 113, 41, 105, 13, 77)(4, 68, 15, 79, 45, 109, 31, 95, 58, 122, 42, 106, 27, 91, 17, 81)(6, 70, 22, 86, 52, 116, 29, 93, 57, 121, 40, 104, 26, 90, 23, 87)(8, 72, 28, 92, 47, 111, 59, 123, 48, 112, 50, 114, 18, 82, 30, 94)(9, 73, 32, 96, 21, 85, 54, 118, 38, 102, 12, 76, 37, 101, 34, 98)(10, 74, 35, 99, 19, 83, 51, 115, 44, 108, 14, 78, 43, 107, 36, 100)(16, 80, 33, 97, 56, 120, 61, 125, 64, 128, 62, 126, 63, 127, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 161, 225)(141, 205, 167, 231)(143, 207, 165, 229)(144, 208, 158, 222)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 171, 235)(151, 215, 172, 236)(152, 216, 175, 239)(154, 218, 182, 246)(155, 219, 179, 243)(156, 220, 184, 248)(160, 224, 185, 249)(162, 226, 180, 244)(163, 227, 186, 250)(164, 228, 173, 237)(174, 238, 189, 253)(176, 240, 181, 245)(177, 241, 190, 254)(178, 242, 191, 255)(183, 247, 188, 252)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 159)(12, 158)(13, 168)(14, 131)(15, 174)(16, 134)(17, 176)(18, 170)(19, 167)(20, 180)(21, 133)(22, 175)(23, 177)(24, 171)(25, 179)(26, 184)(27, 135)(28, 182)(29, 139)(30, 142)(31, 136)(32, 187)(33, 138)(34, 169)(35, 188)(36, 178)(37, 152)(38, 190)(39, 149)(40, 146)(41, 164)(42, 141)(43, 189)(44, 181)(45, 148)(46, 150)(47, 143)(48, 151)(49, 145)(50, 162)(51, 156)(52, 191)(53, 166)(54, 153)(55, 186)(56, 155)(57, 183)(58, 192)(59, 163)(60, 160)(61, 165)(62, 172)(63, 173)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1683
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 41, 105, 39, 103, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 45, 109, 56, 120, 50, 114, 34, 98, 13, 77)(4, 68, 15, 79, 35, 99, 51, 115, 57, 121, 48, 112, 27, 91, 17, 81)(6, 70, 22, 86, 38, 102, 54, 118, 58, 122, 47, 111, 26, 90, 23, 87)(8, 72, 28, 92, 42, 106, 59, 123, 52, 116, 36, 100, 18, 82, 29, 93)(9, 73, 12, 76, 21, 85, 40, 104, 55, 119, 62, 126, 44, 108, 31, 95)(10, 74, 14, 78, 19, 83, 37, 101, 53, 117, 61, 125, 43, 107, 32, 96)(16, 80, 30, 94, 46, 110, 60, 124, 64, 128, 63, 127, 49, 113, 33, 97)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 145, 209)(138, 202, 151, 215)(139, 203, 158, 222)(141, 205, 161, 225)(143, 207, 149, 213)(144, 208, 157, 221)(147, 211, 150, 214)(148, 212, 162, 226)(152, 216, 170, 234)(154, 218, 159, 223)(155, 219, 160, 224)(156, 220, 174, 238)(163, 227, 165, 229)(164, 228, 177, 241)(166, 230, 168, 232)(167, 231, 180, 244)(169, 233, 184, 248)(171, 235, 175, 239)(172, 236, 176, 240)(173, 237, 188, 252)(178, 242, 191, 255)(179, 243, 183, 247)(181, 245, 182, 246)(185, 249, 189, 253)(186, 250, 190, 254)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 151)(9, 158)(10, 130)(11, 145)(12, 157)(13, 150)(14, 131)(15, 141)(16, 134)(17, 136)(18, 143)(19, 161)(20, 166)(21, 133)(22, 146)(23, 139)(24, 171)(25, 160)(26, 174)(27, 135)(28, 159)(29, 142)(30, 138)(31, 153)(32, 156)(33, 149)(34, 165)(35, 148)(36, 168)(37, 164)(38, 177)(39, 183)(40, 162)(41, 185)(42, 176)(43, 188)(44, 152)(45, 175)(46, 155)(47, 170)(48, 173)(49, 163)(50, 179)(51, 180)(52, 182)(53, 167)(54, 178)(55, 191)(56, 190)(57, 192)(58, 169)(59, 189)(60, 172)(61, 184)(62, 187)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1682
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1^2 * Y3 * Y1, (Y3 * Y1^-1)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 33, 97, 32, 96, 14, 78, 5, 69)(3, 67, 7, 71, 16, 80, 34, 98, 54, 118, 44, 108, 24, 88, 10, 74)(4, 68, 11, 75, 25, 89, 45, 109, 55, 119, 49, 113, 28, 92, 12, 76)(8, 72, 19, 83, 23, 87, 43, 107, 53, 117, 60, 124, 40, 104, 20, 84)(9, 73, 21, 85, 31, 95, 52, 116, 58, 122, 36, 100, 17, 81, 22, 86)(13, 77, 29, 93, 50, 114, 56, 120, 35, 99, 37, 101, 18, 82, 30, 94)(26, 90, 46, 110, 42, 106, 39, 103, 59, 123, 63, 127, 62, 126, 47, 111)(27, 91, 48, 112, 57, 121, 64, 128, 61, 125, 51, 115, 41, 105, 38, 102)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 144, 208)(136, 200, 146, 210)(139, 203, 149, 213)(140, 204, 150, 214)(141, 205, 151, 215)(142, 206, 152, 216)(143, 207, 162, 226)(145, 209, 156, 220)(147, 211, 158, 222)(148, 212, 165, 229)(153, 217, 159, 223)(154, 218, 169, 233)(155, 219, 170, 234)(157, 221, 171, 235)(160, 224, 172, 236)(161, 225, 182, 246)(163, 227, 168, 232)(164, 228, 177, 241)(166, 230, 174, 238)(167, 231, 176, 240)(173, 237, 180, 244)(175, 239, 179, 243)(178, 242, 181, 245)(183, 247, 186, 250)(184, 248, 188, 252)(185, 249, 187, 251)(189, 253, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 145)(7, 146)(8, 130)(9, 131)(10, 151)(11, 154)(12, 155)(13, 133)(14, 159)(15, 163)(16, 156)(17, 134)(18, 135)(19, 166)(20, 167)(21, 169)(22, 170)(23, 138)(24, 153)(25, 152)(26, 139)(27, 140)(28, 144)(29, 179)(30, 174)(31, 142)(32, 181)(33, 183)(34, 168)(35, 143)(36, 185)(37, 176)(38, 147)(39, 148)(40, 162)(41, 149)(42, 150)(43, 175)(44, 178)(45, 189)(46, 158)(47, 171)(48, 165)(49, 187)(50, 172)(51, 157)(52, 190)(53, 160)(54, 186)(55, 161)(56, 191)(57, 164)(58, 182)(59, 177)(60, 192)(61, 173)(62, 180)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1686
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, Y2 * Y1^4, (Y1^-1 * Y3)^4, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 10, 74, 3, 67, 7, 71, 14, 78, 5, 69)(4, 68, 11, 75, 22, 86, 20, 84, 9, 73, 19, 83, 25, 89, 12, 76)(8, 72, 17, 81, 33, 97, 32, 96, 16, 80, 31, 95, 36, 100, 18, 82)(13, 77, 26, 90, 46, 110, 40, 104, 21, 85, 39, 103, 48, 112, 27, 91)(15, 79, 29, 93, 51, 115, 50, 114, 28, 92, 49, 113, 54, 118, 30, 94)(23, 87, 42, 106, 52, 116, 35, 99, 37, 101, 59, 123, 61, 125, 43, 107)(24, 88, 44, 108, 53, 117, 55, 119, 38, 102, 47, 111, 57, 121, 34, 98)(41, 105, 56, 120, 63, 127, 62, 126, 45, 109, 58, 122, 64, 128, 60, 124)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 142, 206)(136, 200, 144, 208)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(143, 207, 156, 220)(145, 209, 159, 223)(146, 210, 160, 224)(150, 214, 153, 217)(151, 215, 165, 229)(152, 216, 166, 230)(154, 218, 167, 231)(155, 219, 168, 232)(157, 221, 177, 241)(158, 222, 178, 242)(161, 225, 164, 228)(162, 226, 183, 247)(163, 227, 171, 235)(169, 233, 173, 237)(170, 234, 187, 251)(172, 236, 175, 239)(174, 238, 176, 240)(179, 243, 182, 246)(180, 244, 189, 253)(181, 245, 185, 249)(184, 248, 186, 250)(188, 252, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 143)(7, 144)(8, 130)(9, 131)(10, 149)(11, 151)(12, 152)(13, 133)(14, 156)(15, 134)(16, 135)(17, 162)(18, 163)(19, 165)(20, 166)(21, 138)(22, 169)(23, 139)(24, 140)(25, 173)(26, 175)(27, 170)(28, 142)(29, 180)(30, 181)(31, 183)(32, 171)(33, 184)(34, 145)(35, 146)(36, 186)(37, 147)(38, 148)(39, 172)(40, 187)(41, 150)(42, 155)(43, 160)(44, 167)(45, 153)(46, 188)(47, 154)(48, 190)(49, 189)(50, 185)(51, 191)(52, 157)(53, 158)(54, 192)(55, 159)(56, 161)(57, 178)(58, 164)(59, 168)(60, 174)(61, 177)(62, 176)(63, 179)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1685
Graph:: bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1^-2 * Y3 * Y1^2, (Y1^-1 * Y3)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 33, 97, 32, 96, 14, 78, 5, 69)(3, 67, 7, 71, 16, 80, 34, 98, 54, 118, 44, 108, 24, 88, 10, 74)(4, 68, 11, 75, 25, 89, 45, 109, 55, 119, 49, 113, 28, 92, 12, 76)(8, 72, 19, 83, 38, 102, 60, 124, 53, 117, 43, 107, 23, 87, 20, 84)(9, 73, 21, 85, 17, 81, 36, 100, 57, 121, 52, 116, 31, 95, 22, 86)(13, 77, 29, 93, 18, 82, 37, 101, 35, 99, 56, 120, 51, 115, 30, 94)(26, 90, 46, 110, 58, 122, 40, 104, 62, 126, 59, 123, 42, 106, 47, 111)(27, 91, 48, 112, 41, 105, 63, 127, 64, 128, 50, 114, 61, 125, 39, 103)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 144, 208)(136, 200, 146, 210)(139, 203, 149, 213)(140, 204, 150, 214)(141, 205, 151, 215)(142, 206, 152, 216)(143, 207, 162, 226)(145, 209, 153, 217)(147, 211, 165, 229)(148, 212, 157, 221)(154, 218, 169, 233)(155, 219, 170, 234)(156, 220, 159, 223)(158, 222, 171, 235)(160, 224, 172, 236)(161, 225, 182, 246)(163, 227, 166, 230)(164, 228, 173, 237)(167, 231, 187, 251)(168, 232, 178, 242)(174, 238, 191, 255)(175, 239, 176, 240)(177, 241, 180, 244)(179, 243, 181, 245)(183, 247, 185, 249)(184, 248, 188, 252)(186, 250, 192, 256)(189, 253, 190, 254)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 145)(7, 146)(8, 130)(9, 131)(10, 151)(11, 154)(12, 155)(13, 133)(14, 159)(15, 163)(16, 153)(17, 134)(18, 135)(19, 167)(20, 168)(21, 169)(22, 170)(23, 138)(24, 156)(25, 144)(26, 139)(27, 140)(28, 152)(29, 178)(30, 174)(31, 142)(32, 181)(33, 183)(34, 166)(35, 143)(36, 186)(37, 187)(38, 162)(39, 147)(40, 148)(41, 149)(42, 150)(43, 191)(44, 179)(45, 192)(46, 158)(47, 188)(48, 184)(49, 190)(50, 157)(51, 172)(52, 189)(53, 160)(54, 185)(55, 161)(56, 176)(57, 182)(58, 164)(59, 165)(60, 175)(61, 180)(62, 177)(63, 171)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1687
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y3)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y2^2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-2 * Y1 * Y3, Y2^3 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y1 * Y2 * Y3^3 * Y1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2^2 * Y1^-1, Y3^-2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1 * Y3^2, Y3 * R * Y2 * R * Y2^-1 * Y3, (Y1 * Y3 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 43, 107, 11, 75)(4, 68, 17, 81, 53, 117, 20, 84)(6, 70, 21, 85, 51, 115, 25, 89)(7, 71, 28, 92, 41, 105, 10, 74)(9, 73, 35, 99, 61, 125, 33, 97)(12, 76, 46, 110, 59, 123, 32, 96)(14, 78, 48, 112, 27, 91, 37, 101)(15, 79, 45, 109, 30, 94, 36, 100)(16, 80, 38, 102, 58, 122, 50, 114)(18, 82, 47, 111, 26, 90, 40, 104)(19, 83, 44, 108, 29, 93, 39, 103)(22, 86, 34, 98, 62, 126, 52, 116)(23, 87, 31, 95, 57, 121, 55, 119)(24, 88, 42, 106, 60, 124, 54, 118)(49, 113, 63, 127, 56, 120, 64, 128)(129, 193, 131, 195, 142, 206, 169, 233, 186, 250, 160, 224, 154, 218, 134, 198)(130, 194, 137, 201, 164, 228, 187, 251, 178, 242, 150, 214, 172, 236, 139, 203)(132, 196, 146, 210, 161, 225, 136, 200, 159, 223, 155, 219, 180, 244, 144, 208)(133, 197, 149, 213, 173, 237, 148, 212, 166, 230, 138, 202, 167, 231, 151, 215)(135, 199, 152, 216, 174, 238, 143, 207, 179, 243, 192, 256, 171, 235, 157, 221)(140, 204, 170, 234, 190, 254, 165, 229, 141, 205, 177, 241, 189, 253, 175, 239)(145, 209, 182, 246, 156, 220, 176, 240, 185, 249, 184, 248, 153, 217, 168, 232)(147, 211, 162, 226, 188, 252, 181, 245, 158, 222, 163, 227, 191, 255, 183, 247)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 150)(6, 152)(7, 129)(8, 160)(9, 165)(10, 168)(11, 170)(12, 130)(13, 178)(14, 161)(15, 162)(16, 131)(17, 133)(18, 169)(19, 179)(20, 184)(21, 176)(22, 175)(23, 182)(24, 183)(25, 167)(26, 180)(27, 134)(28, 173)(29, 163)(30, 135)(31, 158)(32, 157)(33, 188)(34, 136)(35, 144)(36, 151)(37, 145)(38, 137)(39, 187)(40, 141)(41, 192)(42, 153)(43, 154)(44, 148)(45, 139)(46, 142)(47, 185)(48, 140)(49, 156)(50, 149)(51, 186)(52, 191)(53, 155)(54, 189)(55, 146)(56, 190)(57, 166)(58, 159)(59, 177)(60, 171)(61, 172)(62, 164)(63, 174)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1676
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (R * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1^2 * Y2^-1, Y1^-2 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y1^2 * Y3^2, Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * R * Y2^-1 * R * Y3 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y3^-4 * Y2^4, Y2^-2 * Y3^-4 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 4, 68, 11, 75)(6, 70, 19, 83, 42, 106, 20, 84)(7, 71, 9, 73, 27, 91, 10, 74)(12, 76, 25, 89, 47, 111, 26, 90)(14, 78, 36, 100, 15, 79, 34, 98)(16, 80, 30, 94, 48, 112, 37, 101)(17, 81, 35, 99, 18, 82, 33, 97)(21, 85, 32, 96, 23, 87, 31, 95)(22, 86, 29, 93, 24, 88, 28, 92)(38, 102, 54, 118, 39, 103, 56, 120)(40, 104, 53, 117, 41, 105, 55, 119)(43, 107, 50, 114, 45, 109, 49, 113)(44, 108, 52, 116, 46, 110, 51, 115)(57, 121, 61, 125, 58, 122, 62, 126)(59, 123, 63, 127, 60, 124, 64, 128)(129, 193, 131, 195, 142, 206, 166, 230, 185, 249, 171, 235, 149, 213, 134, 198)(130, 194, 137, 201, 156, 220, 177, 241, 189, 253, 181, 245, 161, 225, 139, 203)(132, 196, 145, 209, 167, 231, 187, 251, 173, 237, 150, 214, 170, 234, 144, 208)(133, 197, 147, 211, 157, 221, 179, 243, 190, 254, 182, 246, 163, 227, 140, 204)(135, 199, 136, 200, 153, 217, 143, 207, 168, 232, 186, 250, 172, 236, 151, 215)(138, 202, 159, 223, 178, 242, 191, 255, 183, 247, 162, 226, 141, 205, 158, 222)(146, 210, 169, 233, 188, 252, 174, 238, 152, 216, 155, 219, 176, 240, 154, 218)(148, 212, 160, 224, 180, 244, 192, 256, 184, 248, 164, 228, 175, 239, 165, 229)
	L = (1, 132)(2, 138)(3, 143)(4, 146)(5, 148)(6, 136)(7, 129)(8, 154)(9, 157)(10, 160)(11, 133)(12, 130)(13, 165)(14, 167)(15, 169)(16, 131)(17, 166)(18, 168)(19, 156)(20, 159)(21, 170)(22, 134)(23, 155)(24, 135)(25, 142)(26, 145)(27, 144)(28, 178)(29, 180)(30, 137)(31, 177)(32, 179)(33, 141)(34, 139)(35, 175)(36, 140)(37, 147)(38, 186)(39, 188)(40, 185)(41, 187)(42, 176)(43, 151)(44, 149)(45, 152)(46, 150)(47, 158)(48, 153)(49, 190)(50, 192)(51, 189)(52, 191)(53, 163)(54, 161)(55, 164)(56, 162)(57, 173)(58, 174)(59, 171)(60, 172)(61, 183)(62, 184)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1677
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y1^2 * Y3, Y2^2 * Y1 * Y3^2 * Y1^-1, Y3^2 * Y1 * Y2^2 * Y1^-1, Y3^-2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2^2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * R * Y2 * R * Y1^-1 * Y2^-1, Y2^-2 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3^2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 43, 107, 11, 75)(4, 68, 17, 81, 53, 117, 20, 84)(6, 70, 21, 85, 51, 115, 25, 89)(7, 71, 28, 92, 41, 105, 10, 74)(9, 73, 35, 99, 61, 125, 33, 97)(12, 76, 46, 110, 59, 123, 32, 96)(14, 78, 48, 112, 29, 93, 39, 103)(15, 79, 45, 109, 26, 90, 40, 104)(16, 80, 38, 102, 58, 122, 50, 114)(18, 82, 47, 111, 30, 94, 36, 100)(19, 83, 44, 108, 27, 91, 37, 101)(22, 86, 34, 98, 62, 126, 52, 116)(23, 87, 31, 95, 57, 121, 55, 119)(24, 88, 42, 106, 60, 124, 54, 118)(49, 113, 63, 127, 56, 120, 64, 128)(129, 193, 131, 195, 142, 206, 162, 226, 188, 252, 181, 245, 154, 218, 134, 198)(130, 194, 137, 201, 164, 228, 145, 209, 182, 246, 156, 220, 172, 236, 139, 203)(132, 196, 146, 210, 179, 243, 192, 256, 171, 235, 155, 219, 180, 244, 144, 208)(133, 197, 149, 213, 175, 239, 140, 204, 170, 234, 190, 254, 165, 229, 151, 215)(135, 199, 152, 216, 174, 238, 143, 207, 161, 225, 136, 200, 159, 223, 157, 221)(138, 202, 167, 231, 141, 205, 177, 241, 189, 253, 173, 237, 148, 212, 166, 230)(147, 211, 169, 233, 186, 250, 160, 224, 158, 222, 163, 227, 191, 255, 183, 247)(150, 214, 176, 240, 185, 249, 184, 248, 153, 217, 168, 232, 187, 251, 178, 242)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 150)(6, 152)(7, 129)(8, 160)(9, 165)(10, 168)(11, 170)(12, 130)(13, 178)(14, 179)(15, 169)(16, 131)(17, 133)(18, 162)(19, 161)(20, 184)(21, 172)(22, 173)(23, 182)(24, 183)(25, 167)(26, 180)(27, 134)(28, 175)(29, 163)(30, 135)(31, 154)(32, 155)(33, 188)(34, 136)(35, 144)(36, 141)(37, 187)(38, 137)(39, 145)(40, 151)(41, 192)(42, 153)(43, 158)(44, 148)(45, 139)(46, 142)(47, 185)(48, 140)(49, 156)(50, 149)(51, 186)(52, 191)(53, 157)(54, 189)(55, 146)(56, 190)(57, 166)(58, 159)(59, 177)(60, 171)(61, 176)(62, 164)(63, 174)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1674
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y3^-1, (Y2 * Y1^-1)^2, Y1^2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y3, Y2 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y1 * Y3^-1 * Y2^-1 * Y3^2 * Y1, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-4 * Y2^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 12, 76, 32, 96, 11, 75)(4, 68, 15, 79, 41, 105, 18, 82)(6, 70, 10, 74, 7, 71, 20, 84)(9, 73, 26, 90, 48, 112, 25, 89)(13, 77, 36, 100, 16, 80, 35, 99)(14, 78, 34, 98, 17, 81, 33, 97)(19, 83, 31, 95, 47, 111, 42, 106)(21, 85, 30, 94, 22, 86, 28, 92)(23, 87, 29, 93, 24, 88, 27, 91)(37, 101, 55, 119, 39, 103, 56, 120)(38, 102, 53, 117, 40, 104, 54, 118)(43, 107, 51, 115, 44, 108, 49, 113)(45, 109, 52, 116, 46, 110, 50, 114)(57, 121, 61, 125, 59, 123, 63, 127)(58, 122, 62, 126, 60, 124, 64, 128)(129, 193, 131, 195, 141, 205, 165, 229, 185, 249, 171, 235, 149, 213, 134, 198)(130, 194, 137, 201, 155, 219, 177, 241, 189, 253, 181, 245, 161, 225, 139, 203)(132, 196, 144, 208, 166, 230, 187, 251, 173, 237, 150, 214, 153, 217, 136, 200)(133, 197, 138, 202, 157, 221, 178, 242, 191, 255, 183, 247, 162, 226, 146, 210)(135, 199, 147, 211, 160, 224, 142, 206, 167, 231, 186, 250, 172, 236, 151, 215)(140, 204, 159, 223, 176, 240, 156, 220, 179, 243, 190, 254, 182, 246, 163, 227)(143, 207, 170, 234, 148, 212, 158, 222, 180, 244, 192, 256, 184, 248, 164, 228)(145, 209, 168, 232, 188, 252, 174, 238, 152, 216, 154, 218, 175, 239, 169, 233)
	L = (1, 132)(2, 138)(3, 142)(4, 145)(5, 137)(6, 147)(7, 129)(8, 131)(9, 156)(10, 158)(11, 159)(12, 130)(13, 166)(14, 168)(15, 133)(16, 165)(17, 167)(18, 170)(19, 169)(20, 157)(21, 153)(22, 134)(23, 154)(24, 135)(25, 175)(26, 136)(27, 178)(28, 180)(29, 177)(30, 179)(31, 148)(32, 141)(33, 146)(34, 139)(35, 143)(36, 140)(37, 186)(38, 188)(39, 185)(40, 187)(41, 144)(42, 176)(43, 151)(44, 149)(45, 152)(46, 150)(47, 160)(48, 155)(49, 190)(50, 192)(51, 189)(52, 191)(53, 163)(54, 161)(55, 164)(56, 162)(57, 173)(58, 174)(59, 171)(60, 172)(61, 183)(62, 184)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1675
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1705 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y2^-1 * Y3^-3, Y2^-1 * Y3^-1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, Y1^4, (Y3^-1 * Y2)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^-2 * Y1^2 * Y3^-1 * Y2^-1 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y3^-1 * Y1^2 * Y2^-2 * Y1^-2, Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 35, 99, 16, 80)(4, 68, 18, 82, 45, 109, 19, 83)(6, 70, 22, 86, 30, 94, 9, 73)(7, 71, 23, 87, 32, 96, 10, 74)(11, 75, 33, 97, 52, 116, 24, 88)(12, 76, 34, 98, 54, 118, 25, 89)(14, 78, 39, 103, 50, 114, 40, 104)(15, 79, 41, 105, 51, 115, 42, 106)(17, 81, 31, 95, 53, 117, 36, 100)(20, 84, 26, 90, 55, 119, 46, 110)(21, 85, 27, 91, 56, 120, 47, 111)(28, 92, 57, 121, 38, 102, 58, 122)(29, 93, 59, 123, 37, 101, 60, 124)(43, 107, 61, 125, 48, 112, 63, 127)(44, 108, 62, 126, 49, 113, 64, 128)(129, 193, 131, 195, 142, 206, 135, 199, 145, 209, 132, 196, 143, 207, 134, 198)(130, 194, 137, 201, 156, 220, 140, 204, 159, 223, 138, 202, 157, 221, 139, 203)(133, 197, 148, 212, 166, 230, 146, 210, 164, 228, 149, 213, 165, 229, 141, 205)(136, 200, 152, 216, 178, 242, 155, 219, 181, 245, 153, 217, 179, 243, 154, 218)(144, 208, 171, 235, 183, 247, 169, 233, 147, 211, 172, 236, 184, 248, 167, 231)(150, 214, 170, 234, 182, 246, 177, 241, 151, 215, 168, 232, 180, 244, 176, 240)(158, 222, 189, 253, 163, 227, 187, 251, 160, 224, 190, 254, 173, 237, 185, 249)(161, 225, 188, 252, 175, 239, 192, 256, 162, 226, 186, 250, 174, 238, 191, 255)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 149)(6, 145)(7, 129)(8, 153)(9, 157)(10, 156)(11, 159)(12, 130)(13, 164)(14, 134)(15, 135)(16, 172)(17, 131)(18, 133)(19, 171)(20, 165)(21, 166)(22, 168)(23, 170)(24, 179)(25, 178)(26, 181)(27, 136)(28, 139)(29, 140)(30, 190)(31, 137)(32, 189)(33, 186)(34, 188)(35, 185)(36, 148)(37, 146)(38, 141)(39, 147)(40, 182)(41, 144)(42, 180)(43, 184)(44, 183)(45, 187)(46, 192)(47, 191)(48, 151)(49, 150)(50, 154)(51, 155)(52, 177)(53, 152)(54, 176)(55, 167)(56, 169)(57, 160)(58, 175)(59, 158)(60, 174)(61, 173)(62, 163)(63, 162)(64, 161)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1678
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1706 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y2^-1 * Y3^2 * Y2^-1, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y1^-1, Y1^4, Y3^2 * Y1^-1 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^2 * Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 23, 87, 12, 76)(4, 68, 17, 81, 22, 86, 11, 75)(6, 70, 19, 83, 25, 89, 9, 73)(7, 71, 18, 82, 24, 88, 10, 74)(14, 78, 30, 94, 40, 104, 33, 97)(15, 79, 29, 93, 41, 105, 32, 96)(16, 80, 28, 92, 42, 106, 31, 95)(20, 84, 27, 91, 43, 107, 37, 101)(21, 85, 26, 90, 44, 108, 36, 100)(34, 98, 50, 114, 56, 120, 47, 111)(35, 99, 49, 113, 55, 119, 48, 112)(38, 102, 53, 117, 58, 122, 46, 110)(39, 103, 54, 118, 57, 121, 45, 109)(51, 115, 59, 123, 63, 127, 61, 125)(52, 116, 60, 124, 64, 128, 62, 126)(129, 193, 131, 195, 142, 206, 162, 226, 179, 243, 166, 230, 148, 212, 134, 198)(130, 194, 137, 201, 154, 218, 173, 237, 187, 251, 175, 239, 157, 221, 139, 203)(132, 196, 143, 207, 163, 227, 180, 244, 167, 231, 149, 213, 135, 199, 144, 208)(133, 197, 146, 210, 164, 228, 181, 245, 189, 253, 177, 241, 160, 224, 141, 205)(136, 200, 150, 214, 168, 232, 183, 247, 191, 255, 185, 249, 171, 235, 152, 216)(138, 202, 155, 219, 174, 238, 188, 252, 176, 240, 158, 222, 140, 204, 156, 220)(145, 209, 159, 223, 147, 211, 165, 229, 182, 246, 190, 254, 178, 242, 161, 225)(151, 215, 169, 233, 184, 248, 192, 256, 186, 250, 172, 236, 153, 217, 170, 234)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 147)(6, 144)(7, 129)(8, 151)(9, 155)(10, 154)(11, 156)(12, 130)(13, 159)(14, 163)(15, 162)(16, 131)(17, 133)(18, 165)(19, 164)(20, 135)(21, 134)(22, 169)(23, 168)(24, 170)(25, 136)(26, 174)(27, 173)(28, 137)(29, 140)(30, 139)(31, 146)(32, 145)(33, 141)(34, 180)(35, 179)(36, 182)(37, 181)(38, 149)(39, 148)(40, 184)(41, 183)(42, 150)(43, 153)(44, 152)(45, 188)(46, 187)(47, 158)(48, 157)(49, 161)(50, 160)(51, 167)(52, 166)(53, 190)(54, 189)(55, 192)(56, 191)(57, 172)(58, 171)(59, 176)(60, 175)(61, 178)(62, 177)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1679
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, (Y1 * Y2)^2, Y3^2 * Y2^-2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2 * R)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^2, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y3^2 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-2, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 39, 103, 16, 80)(4, 68, 18, 82, 49, 113, 19, 83)(6, 70, 22, 86, 32, 96, 9, 73)(7, 71, 25, 89, 34, 98, 10, 74)(11, 75, 35, 99, 54, 118, 26, 90)(12, 76, 38, 102, 56, 120, 27, 91)(14, 78, 31, 95, 52, 116, 45, 109)(15, 79, 30, 94, 53, 117, 46, 110)(17, 81, 33, 97, 55, 119, 40, 104)(20, 84, 28, 92, 57, 121, 44, 108)(21, 85, 29, 93, 60, 124, 43, 107)(23, 87, 37, 101, 58, 122, 42, 106)(24, 88, 36, 100, 59, 123, 41, 105)(47, 111, 61, 125, 50, 114, 63, 127)(48, 112, 62, 126, 51, 115, 64, 128)(129, 193, 131, 195, 142, 206, 171, 235, 192, 256, 166, 230, 151, 215, 134, 198)(130, 194, 137, 201, 158, 222, 147, 211, 176, 240, 188, 252, 164, 228, 139, 203)(132, 196, 143, 207, 172, 236, 191, 255, 163, 227, 152, 216, 135, 199, 145, 209)(133, 197, 148, 212, 174, 238, 184, 248, 179, 243, 153, 217, 169, 233, 141, 205)(136, 200, 154, 218, 180, 244, 162, 226, 190, 254, 177, 241, 186, 250, 156, 220)(138, 202, 159, 223, 144, 208, 175, 239, 185, 249, 165, 229, 140, 204, 161, 225)(146, 210, 168, 232, 149, 213, 173, 237, 182, 246, 178, 242, 150, 214, 170, 234)(155, 219, 181, 245, 160, 224, 189, 253, 167, 231, 187, 251, 157, 221, 183, 247)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 149)(6, 145)(7, 129)(8, 155)(9, 159)(10, 158)(11, 161)(12, 130)(13, 168)(14, 172)(15, 171)(16, 176)(17, 131)(18, 133)(19, 175)(20, 173)(21, 174)(22, 169)(23, 135)(24, 134)(25, 170)(26, 181)(27, 180)(28, 183)(29, 136)(30, 144)(31, 147)(32, 190)(33, 137)(34, 189)(35, 151)(36, 140)(37, 139)(38, 152)(39, 186)(40, 148)(41, 146)(42, 141)(43, 191)(44, 192)(45, 184)(46, 182)(47, 188)(48, 185)(49, 187)(50, 153)(51, 150)(52, 160)(53, 162)(54, 179)(55, 154)(56, 178)(57, 164)(58, 157)(59, 156)(60, 165)(61, 177)(62, 167)(63, 166)(64, 163)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1680
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y1, Y2 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y2 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 14, 78)(7, 71, 18, 82)(8, 72, 21, 85)(9, 73, 23, 87)(10, 74, 26, 90)(12, 76, 28, 92)(13, 77, 33, 97)(15, 79, 35, 99)(16, 80, 40, 104)(17, 81, 43, 107)(19, 83, 45, 109)(20, 84, 48, 112)(22, 86, 49, 113)(24, 88, 51, 115)(25, 89, 29, 93)(27, 91, 56, 120)(30, 94, 38, 102)(31, 95, 37, 101)(32, 96, 47, 111)(34, 98, 46, 110)(36, 100, 50, 114)(39, 103, 42, 106)(41, 105, 62, 126)(44, 108, 61, 125)(52, 116, 59, 123)(53, 117, 58, 122)(54, 118, 63, 127)(55, 119, 60, 124)(57, 121, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 143, 207)(135, 199, 147, 211)(136, 200, 150, 214)(137, 201, 152, 216)(138, 202, 155, 219)(139, 203, 156, 220)(141, 205, 162, 226)(142, 206, 163, 227)(144, 208, 169, 233)(145, 209, 172, 236)(146, 210, 173, 237)(148, 212, 165, 229)(149, 213, 177, 241)(151, 215, 179, 243)(153, 217, 183, 247)(154, 218, 184, 248)(157, 221, 188, 252)(158, 222, 180, 244)(159, 223, 176, 240)(160, 224, 182, 246)(161, 225, 174, 238)(164, 228, 185, 249)(166, 230, 187, 251)(167, 231, 181, 245)(168, 232, 190, 254)(170, 234, 186, 250)(171, 235, 189, 253)(175, 239, 191, 255)(178, 242, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 141)(5, 129)(6, 144)(7, 148)(8, 130)(9, 153)(10, 131)(11, 157)(12, 159)(13, 133)(14, 164)(15, 166)(16, 170)(17, 134)(18, 167)(19, 174)(20, 136)(21, 178)(22, 158)(23, 161)(24, 181)(25, 138)(26, 185)(27, 187)(28, 186)(29, 150)(30, 139)(31, 189)(32, 140)(33, 172)(34, 149)(35, 191)(36, 179)(37, 142)(38, 146)(39, 143)(40, 176)(41, 188)(42, 145)(43, 192)(44, 180)(45, 183)(46, 184)(47, 147)(48, 155)(49, 182)(50, 190)(51, 165)(52, 151)(53, 177)(54, 152)(55, 171)(56, 175)(57, 156)(58, 154)(59, 168)(60, 163)(61, 160)(62, 162)(63, 169)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1735
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2 * Y1)^2, Y1 * Y3 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 14, 78)(7, 71, 12, 76)(8, 72, 10, 74)(9, 73, 19, 83)(13, 77, 27, 91)(15, 79, 29, 93)(16, 80, 20, 84)(17, 81, 33, 97)(18, 82, 22, 86)(21, 85, 36, 100)(23, 87, 28, 92)(24, 88, 26, 90)(25, 89, 34, 98)(30, 94, 32, 96)(31, 95, 35, 99)(37, 101, 41, 105)(38, 102, 40, 104)(39, 103, 49, 113)(42, 106, 48, 112)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 47, 111)(46, 110, 59, 123)(50, 114, 61, 125)(51, 115, 53, 117)(52, 116, 57, 121)(54, 118, 58, 122)(60, 124, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 143, 207)(135, 199, 139, 203)(136, 200, 146, 210)(137, 201, 148, 212)(138, 202, 150, 214)(141, 205, 156, 220)(142, 206, 157, 221)(144, 208, 147, 211)(145, 209, 162, 226)(149, 213, 169, 233)(151, 215, 155, 219)(152, 216, 166, 230)(153, 217, 161, 225)(154, 218, 168, 232)(158, 222, 177, 241)(159, 223, 170, 234)(160, 224, 167, 231)(163, 227, 176, 240)(164, 228, 165, 229)(171, 235, 187, 251)(172, 236, 185, 249)(173, 237, 181, 245)(174, 238, 184, 248)(175, 239, 179, 243)(178, 242, 186, 250)(180, 244, 183, 247)(182, 246, 189, 253)(188, 252, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 141)(5, 129)(6, 144)(7, 145)(8, 130)(9, 149)(10, 131)(11, 151)(12, 153)(13, 133)(14, 134)(15, 159)(16, 158)(17, 136)(18, 163)(19, 165)(20, 167)(21, 138)(22, 170)(23, 171)(24, 139)(25, 172)(26, 140)(27, 157)(28, 174)(29, 176)(30, 142)(31, 178)(32, 143)(33, 150)(34, 180)(35, 182)(36, 146)(37, 183)(38, 147)(39, 184)(40, 148)(41, 185)(42, 179)(43, 152)(44, 154)(45, 155)(46, 188)(47, 156)(48, 173)(49, 187)(50, 160)(51, 161)(52, 190)(53, 162)(54, 164)(55, 166)(56, 168)(57, 191)(58, 169)(59, 192)(60, 175)(61, 177)(62, 181)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1736
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-2, (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, (Y1 * Y3^-1 * Y1 * Y3)^2, (Y1 * Y2)^4, (Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 11, 75)(6, 70, 12, 76)(7, 71, 13, 77)(8, 72, 14, 78)(15, 79, 24, 88)(16, 80, 33, 97)(17, 81, 34, 98)(18, 82, 35, 99)(19, 83, 36, 100)(20, 84, 29, 93)(21, 85, 37, 101)(22, 86, 31, 95)(23, 87, 38, 102)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 41, 105)(28, 92, 42, 106)(30, 94, 43, 107)(32, 96, 44, 108)(45, 109, 57, 121)(46, 110, 52, 116)(47, 111, 58, 122)(48, 112, 54, 118)(49, 113, 55, 119)(50, 114, 59, 123)(51, 115, 60, 124)(53, 117, 61, 125)(56, 120, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 133, 197)(135, 199, 136, 200)(137, 201, 143, 207)(138, 202, 146, 210)(139, 203, 149, 213)(140, 204, 152, 216)(141, 205, 155, 219)(142, 206, 158, 222)(144, 208, 145, 209)(147, 211, 148, 212)(150, 214, 151, 215)(153, 217, 154, 218)(156, 220, 157, 221)(159, 223, 160, 224)(161, 225, 173, 237)(162, 226, 175, 239)(163, 227, 165, 229)(164, 228, 176, 240)(166, 230, 174, 238)(167, 231, 179, 243)(168, 232, 181, 245)(169, 233, 171, 235)(170, 234, 182, 246)(172, 236, 180, 244)(177, 241, 178, 242)(183, 247, 184, 248)(185, 249, 186, 250)(187, 251, 191, 255)(188, 252, 189, 253)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 133)(4, 131)(5, 129)(6, 136)(7, 134)(8, 130)(9, 144)(10, 147)(11, 150)(12, 153)(13, 156)(14, 159)(15, 145)(16, 143)(17, 137)(18, 148)(19, 146)(20, 138)(21, 151)(22, 149)(23, 139)(24, 154)(25, 152)(26, 140)(27, 157)(28, 155)(29, 141)(30, 160)(31, 158)(32, 142)(33, 174)(34, 164)(35, 177)(36, 175)(37, 178)(38, 161)(39, 180)(40, 170)(41, 183)(42, 181)(43, 184)(44, 167)(45, 166)(46, 173)(47, 176)(48, 162)(49, 165)(50, 163)(51, 172)(52, 179)(53, 182)(54, 168)(55, 171)(56, 169)(57, 187)(58, 191)(59, 186)(60, 190)(61, 192)(62, 189)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1733
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3 * Y1 * Y2 * Y3^2 * Y1 * Y3 * Y2, (Y1 * Y2)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^2 * Y1, Y1 * Y3^2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 30, 94)(16, 80, 37, 101)(17, 81, 39, 103)(19, 83, 43, 107)(21, 85, 34, 98)(22, 86, 49, 113)(23, 87, 51, 115)(25, 89, 38, 102)(27, 91, 58, 122)(28, 92, 59, 123)(29, 93, 42, 106)(31, 95, 60, 124)(32, 96, 45, 109)(33, 97, 61, 125)(35, 99, 55, 119)(36, 100, 52, 116)(40, 104, 48, 112)(41, 105, 54, 118)(44, 108, 47, 111)(46, 110, 56, 120)(50, 114, 62, 126)(53, 117, 63, 127)(57, 121, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 159, 223)(143, 207, 162, 226)(146, 210, 168, 232)(147, 211, 166, 230)(148, 212, 172, 236)(150, 214, 175, 239)(151, 215, 176, 240)(152, 216, 180, 244)(154, 218, 183, 247)(156, 220, 185, 249)(157, 221, 184, 248)(158, 222, 178, 242)(160, 224, 182, 246)(161, 225, 181, 245)(163, 227, 188, 252)(164, 228, 186, 250)(165, 229, 179, 243)(167, 231, 177, 241)(169, 233, 192, 256)(170, 234, 189, 253)(171, 235, 190, 254)(173, 237, 187, 251)(174, 238, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 160)(15, 163)(16, 166)(17, 134)(18, 169)(19, 136)(20, 173)(21, 175)(22, 178)(23, 137)(24, 181)(25, 139)(26, 184)(27, 185)(28, 183)(29, 140)(30, 176)(31, 182)(32, 180)(33, 142)(34, 188)(35, 190)(36, 143)(37, 191)(38, 145)(39, 189)(40, 192)(41, 177)(42, 146)(43, 186)(44, 187)(45, 179)(46, 148)(47, 158)(48, 149)(49, 170)(50, 151)(51, 174)(52, 161)(53, 159)(54, 152)(55, 157)(56, 155)(57, 154)(58, 162)(59, 165)(60, 171)(61, 168)(62, 164)(63, 172)(64, 167)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1734
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 24, 88)(14, 78, 27, 91)(15, 79, 29, 93)(17, 81, 32, 96)(20, 84, 37, 101)(22, 86, 40, 104)(23, 87, 31, 95)(25, 89, 33, 97)(26, 90, 45, 109)(28, 92, 47, 111)(30, 94, 39, 103)(34, 98, 35, 99)(36, 100, 46, 110)(38, 102, 48, 112)(41, 105, 58, 122)(42, 106, 59, 123)(43, 107, 57, 121)(44, 108, 61, 125)(49, 113, 54, 118)(50, 114, 53, 117)(51, 115, 56, 120)(52, 116, 55, 119)(60, 124, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 137, 201)(133, 197, 138, 202)(135, 199, 142, 206)(136, 200, 143, 207)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 157, 221)(150, 214, 163, 227)(151, 215, 164, 228)(152, 216, 165, 229)(153, 217, 166, 230)(154, 218, 167, 231)(158, 222, 173, 237)(159, 223, 174, 238)(160, 224, 175, 239)(161, 225, 176, 240)(162, 226, 168, 232)(169, 233, 181, 245)(170, 234, 182, 246)(171, 235, 183, 247)(172, 236, 184, 248)(177, 241, 187, 251)(178, 242, 186, 250)(179, 243, 189, 253)(180, 244, 185, 249)(188, 252, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 153)(14, 156)(15, 134)(16, 158)(17, 136)(18, 161)(19, 163)(20, 138)(21, 166)(22, 169)(23, 139)(24, 170)(25, 172)(26, 141)(27, 173)(28, 143)(29, 176)(30, 177)(31, 144)(32, 178)(33, 180)(34, 146)(35, 181)(36, 147)(37, 182)(38, 184)(39, 149)(40, 157)(41, 151)(42, 188)(43, 152)(44, 154)(45, 187)(46, 155)(47, 186)(48, 185)(49, 159)(50, 190)(51, 160)(52, 162)(53, 164)(54, 191)(55, 165)(56, 167)(57, 168)(58, 192)(59, 174)(60, 171)(61, 175)(62, 179)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1737
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3 * Y2^-2)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3, Y3^2 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 38, 102)(13, 77, 37, 101)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 46, 110)(20, 84, 29, 93)(21, 85, 47, 111)(22, 86, 45, 109)(24, 88, 53, 117)(25, 89, 52, 116)(31, 95, 61, 125)(33, 97, 62, 126)(34, 98, 60, 124)(35, 99, 59, 123)(36, 100, 51, 115)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 56, 120)(42, 106, 64, 128)(43, 107, 58, 122)(44, 108, 50, 114)(48, 112, 63, 127)(49, 113, 57, 121)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 168, 232, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 155, 219, 183, 247, 157, 221)(138, 202, 161, 225, 182, 246, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 169, 233, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 174, 238, 181, 245, 165, 229)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 184, 248, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 189, 253, 166, 230, 180, 244)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 167)(13, 162)(14, 131)(15, 173)(16, 134)(17, 175)(18, 157)(19, 161)(20, 133)(21, 160)(22, 154)(23, 143)(24, 182)(25, 150)(26, 135)(27, 188)(28, 138)(29, 190)(30, 145)(31, 149)(32, 137)(33, 148)(34, 142)(35, 191)(36, 185)(37, 139)(38, 183)(39, 181)(40, 140)(41, 178)(42, 186)(43, 192)(44, 184)(45, 180)(46, 146)(47, 189)(48, 187)(49, 179)(50, 176)(51, 170)(52, 151)(53, 168)(54, 166)(55, 152)(56, 163)(57, 171)(58, 177)(59, 169)(60, 165)(61, 158)(62, 174)(63, 172)(64, 164)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1727
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, Y1 * Y3 * Y2^2, (R * Y1)^2, Y3^4, Y2^4, (R * Y3)^2, Y3 * Y2^-2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3^-2 * Y2^-1 * Y3^2 * Y2 * Y1 * Y3^-1 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 13, 77)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 20, 84)(12, 76, 27, 91)(14, 78, 21, 85)(15, 79, 28, 92)(16, 80, 31, 95)(17, 81, 33, 97)(19, 83, 37, 101)(22, 86, 38, 102)(23, 87, 41, 105)(24, 88, 43, 107)(25, 89, 45, 109)(26, 90, 36, 100)(29, 93, 39, 103)(30, 94, 49, 113)(32, 96, 51, 115)(34, 98, 52, 116)(35, 99, 53, 117)(40, 104, 57, 121)(42, 106, 59, 123)(44, 108, 60, 124)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 61, 125)(50, 114, 58, 122)(56, 120, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 136, 200, 133, 197)(130, 194, 135, 199, 132, 196, 137, 201)(134, 198, 144, 208, 149, 213, 145, 209)(138, 202, 151, 215, 142, 206, 152, 216)(139, 203, 153, 217, 140, 204, 154, 218)(141, 205, 157, 221, 143, 207, 158, 222)(146, 210, 163, 227, 147, 211, 164, 228)(148, 212, 167, 231, 150, 214, 168, 232)(155, 219, 175, 239, 156, 220, 176, 240)(159, 223, 178, 242, 160, 224, 177, 241)(161, 225, 173, 237, 162, 226, 174, 238)(165, 229, 183, 247, 166, 230, 184, 248)(169, 233, 186, 250, 170, 234, 185, 249)(171, 235, 181, 245, 172, 236, 182, 246)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 147)(8, 149)(9, 150)(10, 130)(11, 133)(12, 156)(13, 131)(14, 134)(15, 155)(16, 160)(17, 162)(18, 137)(19, 166)(20, 135)(21, 138)(22, 165)(23, 170)(24, 172)(25, 174)(26, 163)(27, 139)(28, 141)(29, 168)(30, 178)(31, 145)(32, 180)(33, 144)(34, 179)(35, 182)(36, 153)(37, 146)(38, 148)(39, 158)(40, 186)(41, 152)(42, 188)(43, 151)(44, 187)(45, 154)(46, 181)(47, 184)(48, 190)(49, 157)(50, 185)(51, 159)(52, 161)(53, 164)(54, 173)(55, 176)(56, 192)(57, 167)(58, 177)(59, 169)(60, 171)(61, 175)(62, 191)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1726
Graph:: bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y1)^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-1, (Y3 * Y2^-2)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-2 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3, Y3^-1 * Y2^2 * Y3^2 * Y2^-2 * Y3^-1, Y3 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 38, 102)(13, 77, 33, 97)(14, 78, 36, 100)(15, 79, 45, 109)(16, 80, 28, 92)(17, 81, 47, 111)(19, 83, 34, 98)(20, 84, 46, 110)(21, 85, 25, 89)(22, 86, 31, 95)(24, 88, 53, 117)(26, 90, 51, 115)(27, 91, 60, 124)(29, 93, 62, 126)(32, 96, 61, 125)(35, 99, 57, 121)(37, 101, 52, 116)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 56, 120)(42, 106, 50, 114)(43, 107, 58, 122)(44, 108, 64, 128)(48, 112, 63, 127)(49, 113, 59, 123)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 168, 232, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 155, 219, 183, 247, 157, 221)(138, 202, 161, 225, 182, 246, 162, 226)(139, 203, 163, 227, 188, 252, 165, 229)(141, 205, 169, 233, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 174, 238, 181, 245, 164, 228)(146, 210, 176, 240, 190, 254, 177, 241)(151, 215, 178, 242, 173, 237, 180, 244)(153, 217, 184, 248, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 189, 253, 166, 230, 179, 243)(158, 222, 191, 255, 175, 239, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 164)(12, 167)(13, 157)(14, 131)(15, 160)(16, 134)(17, 154)(18, 174)(19, 155)(20, 133)(21, 151)(22, 158)(23, 179)(24, 182)(25, 145)(26, 135)(27, 148)(28, 138)(29, 142)(30, 189)(31, 143)(32, 137)(33, 139)(34, 146)(35, 186)(36, 190)(37, 192)(38, 183)(39, 181)(40, 140)(41, 187)(42, 191)(43, 185)(44, 180)(45, 150)(46, 188)(47, 149)(48, 178)(49, 184)(50, 171)(51, 175)(52, 177)(53, 168)(54, 166)(55, 152)(56, 172)(57, 176)(58, 170)(59, 165)(60, 162)(61, 173)(62, 161)(63, 163)(64, 169)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1728
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y1, Y1 * Y3^-1 * Y2^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * R * Y2^-1 * R * Y2 * Y3^-1 * Y2^-1 * Y1, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^2 * Y3^-1 * Y2 * Y1 * Y3^2 * Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 12, 76)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 19, 83)(13, 77, 26, 90)(14, 78, 31, 95)(15, 79, 22, 86)(16, 80, 32, 96)(17, 81, 29, 93)(20, 84, 36, 100)(21, 85, 41, 105)(23, 87, 42, 106)(24, 88, 39, 103)(25, 89, 45, 109)(27, 91, 37, 101)(28, 92, 38, 102)(30, 94, 49, 113)(33, 97, 51, 115)(34, 98, 52, 116)(35, 99, 53, 117)(40, 104, 57, 121)(43, 107, 59, 123)(44, 108, 60, 124)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 61, 125)(50, 114, 58, 122)(56, 120, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 134, 198, 137, 201)(132, 196, 142, 206, 150, 214, 144, 208)(136, 200, 149, 213, 143, 207, 151, 215)(139, 203, 153, 217, 141, 205, 155, 219)(140, 204, 156, 220, 145, 209, 158, 222)(146, 210, 163, 227, 148, 212, 165, 229)(147, 211, 166, 230, 152, 216, 168, 232)(154, 218, 175, 239, 157, 221, 176, 240)(159, 223, 178, 242, 161, 225, 177, 241)(160, 224, 173, 237, 162, 226, 174, 238)(164, 228, 183, 247, 167, 231, 184, 248)(169, 233, 186, 250, 171, 235, 185, 249)(170, 234, 181, 245, 172, 236, 182, 246)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 139)(6, 129)(7, 147)(8, 150)(9, 146)(10, 130)(11, 154)(12, 157)(13, 131)(14, 160)(15, 134)(16, 159)(17, 133)(18, 164)(19, 167)(20, 135)(21, 170)(22, 138)(23, 169)(24, 137)(25, 165)(26, 145)(27, 173)(28, 177)(29, 141)(30, 166)(31, 179)(32, 180)(33, 142)(34, 144)(35, 155)(36, 152)(37, 181)(38, 185)(39, 148)(40, 156)(41, 187)(42, 188)(43, 149)(44, 151)(45, 182)(46, 153)(47, 189)(48, 183)(49, 186)(50, 158)(51, 162)(52, 161)(53, 174)(54, 163)(55, 191)(56, 175)(57, 178)(58, 168)(59, 172)(60, 171)(61, 192)(62, 176)(63, 190)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1729
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 36, 100)(23, 87, 44, 108)(24, 88, 35, 99)(26, 90, 40, 104)(27, 91, 42, 106)(28, 92, 39, 103)(29, 93, 37, 101)(30, 94, 41, 105)(31, 95, 38, 102)(32, 96, 43, 107)(33, 97, 34, 98)(45, 109, 56, 120)(46, 110, 58, 122)(47, 111, 60, 124)(48, 112, 53, 117)(49, 113, 59, 123)(50, 114, 54, 118)(51, 115, 57, 121)(52, 116, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 154)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 165)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 170)(24, 167)(25, 168)(26, 138)(27, 172)(28, 163)(29, 164)(30, 171)(31, 162)(32, 169)(33, 166)(34, 159)(35, 156)(36, 157)(37, 145)(38, 161)(39, 152)(40, 153)(41, 160)(42, 151)(43, 158)(44, 155)(45, 182)(46, 181)(47, 187)(48, 186)(49, 188)(50, 184)(51, 183)(52, 185)(53, 174)(54, 173)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1732
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * R * Y2^-1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3 * Y1 * Y2^2 * Y1 * Y3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-2, Y2^2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 33, 97)(15, 79, 36, 100)(17, 81, 43, 107)(18, 82, 41, 105)(19, 83, 47, 111)(20, 84, 50, 114)(22, 86, 53, 117)(23, 87, 45, 109)(25, 89, 42, 106)(27, 91, 48, 112)(28, 92, 40, 104)(29, 93, 46, 110)(31, 95, 44, 108)(32, 96, 59, 123)(34, 98, 58, 122)(35, 99, 52, 116)(37, 101, 56, 120)(38, 102, 55, 119)(39, 103, 54, 118)(49, 113, 62, 126)(51, 115, 61, 125)(57, 121, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(135, 199, 147, 211, 176, 240, 148, 212)(137, 201, 151, 215, 178, 242, 153, 217)(139, 203, 156, 220, 179, 243, 157, 221)(142, 206, 163, 227, 175, 239, 165, 229)(143, 207, 166, 230, 177, 241, 167, 231)(144, 208, 168, 232, 161, 225, 170, 234)(146, 210, 173, 237, 162, 226, 174, 238)(149, 213, 180, 244, 158, 222, 182, 246)(150, 214, 183, 247, 160, 224, 184, 248)(152, 216, 171, 235, 164, 228, 185, 249)(154, 218, 181, 245, 188, 252, 169, 233)(155, 219, 186, 250, 191, 255, 187, 251)(172, 236, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 160)(13, 162)(14, 164)(15, 133)(16, 169)(17, 172)(18, 134)(19, 177)(20, 179)(21, 181)(22, 136)(23, 184)(24, 137)(25, 180)(26, 176)(27, 138)(28, 182)(29, 183)(30, 187)(31, 171)(32, 140)(33, 186)(34, 141)(35, 170)(36, 142)(37, 173)(38, 174)(39, 168)(40, 167)(41, 144)(42, 163)(43, 159)(44, 145)(45, 165)(46, 166)(47, 190)(48, 154)(49, 147)(50, 189)(51, 148)(52, 153)(53, 149)(54, 156)(55, 157)(56, 151)(57, 191)(58, 161)(59, 158)(60, 192)(61, 178)(62, 175)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1731
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1 * Y2^2 * Y3 * Y2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(17, 81, 37, 101)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 45, 109)(25, 89, 36, 100)(27, 91, 49, 113)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 52, 116)(34, 98, 53, 117)(38, 102, 57, 121)(41, 105, 59, 123)(43, 107, 60, 124)(46, 110, 61, 125)(47, 111, 55, 119)(48, 112, 56, 120)(50, 114, 58, 122)(54, 118, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 143, 207, 153, 217)(139, 203, 155, 219, 142, 206, 156, 220)(144, 208, 162, 226, 150, 214, 164, 228)(146, 210, 166, 230, 149, 213, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 160, 224, 176, 240)(158, 222, 177, 241, 159, 223, 178, 242)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 181, 245, 171, 235, 184, 248)(169, 233, 185, 249, 170, 234, 186, 250)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 145)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 138)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 162)(24, 137)(25, 176)(26, 165)(27, 166)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 151)(35, 144)(36, 184)(37, 154)(38, 155)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 181)(46, 182)(47, 190)(48, 153)(49, 185)(50, 156)(51, 157)(52, 159)(53, 173)(54, 174)(55, 192)(56, 164)(57, 177)(58, 167)(59, 168)(60, 170)(61, 191)(62, 175)(63, 189)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1730
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2 * Y3)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 27, 91)(20, 84, 28, 92)(21, 85, 29, 93)(22, 86, 30, 94)(23, 87, 31, 95)(24, 88, 32, 96)(25, 89, 33, 97)(26, 90, 34, 98)(35, 99, 46, 110)(36, 100, 47, 111)(37, 101, 48, 112)(38, 102, 43, 107)(39, 103, 49, 113)(40, 104, 50, 114)(41, 105, 45, 109)(42, 106, 51, 115)(44, 108, 52, 116)(53, 117, 62, 126)(54, 118, 57, 121)(55, 119, 60, 124)(56, 120, 58, 122)(59, 123, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 172, 236, 154, 218)(143, 207, 156, 220, 176, 240, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 169, 233, 185, 249, 167, 231)(152, 216, 170, 234, 188, 252, 171, 235)(155, 219, 174, 238, 190, 254, 175, 239)(159, 223, 173, 237, 182, 246, 177, 241)(160, 224, 179, 243, 183, 247, 166, 230)(168, 232, 186, 250, 191, 255, 187, 251)(178, 242, 184, 248, 192, 256, 189, 253)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 170)(26, 173)(27, 142)(28, 171)(29, 177)(30, 178)(31, 144)(32, 145)(33, 179)(34, 169)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 162)(42, 153)(43, 156)(44, 189)(45, 154)(46, 185)(47, 188)(48, 186)(49, 157)(50, 158)(51, 161)(52, 187)(53, 191)(54, 163)(55, 164)(56, 165)(57, 174)(58, 176)(59, 180)(60, 175)(61, 172)(62, 192)(63, 181)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1725
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2 * Y1 * Y2)^2, Y2 * R * Y2^-2 * Y1 * R * Y2, Y2^2 * Y1 * Y3 * Y2^-2 * Y3, (Y2^-1 * Y1)^4, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2^-1 * R * Y2 * Y1)^2, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 42, 106)(20, 84, 44, 108)(22, 86, 46, 110)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 30, 94)(27, 91, 40, 104)(28, 92, 41, 105)(31, 95, 54, 118)(33, 97, 56, 120)(35, 99, 47, 111)(36, 100, 48, 112)(43, 107, 62, 126)(45, 109, 63, 127)(49, 113, 53, 117)(50, 114, 60, 124)(51, 115, 55, 119)(52, 116, 61, 125)(57, 121, 64, 128)(58, 122, 59, 123)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 154, 218, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 162, 226, 156, 220)(143, 207, 163, 227, 152, 216, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(146, 210, 168, 232, 174, 238, 169, 233)(150, 214, 175, 239, 166, 230, 176, 240)(157, 221, 181, 245, 160, 224, 178, 242)(159, 223, 183, 247, 184, 248, 180, 244)(161, 225, 185, 249, 182, 246, 186, 250)(170, 234, 177, 241, 172, 236, 188, 252)(171, 235, 179, 243, 191, 255, 189, 253)(173, 237, 192, 256, 190, 254, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 158)(18, 134)(19, 171)(20, 173)(21, 174)(22, 136)(23, 177)(24, 137)(25, 178)(26, 138)(27, 179)(28, 180)(29, 182)(30, 145)(31, 140)(32, 184)(33, 141)(34, 142)(35, 185)(36, 187)(37, 181)(38, 144)(39, 188)(40, 183)(41, 189)(42, 190)(43, 147)(44, 191)(45, 148)(46, 149)(47, 192)(48, 186)(49, 151)(50, 153)(51, 155)(52, 156)(53, 165)(54, 157)(55, 168)(56, 160)(57, 163)(58, 176)(59, 164)(60, 167)(61, 169)(62, 170)(63, 172)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1723
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2^-2 * Y1)^2, Y2^-1 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2^-1, Y2^-2 * Y3 * Y2 * Y1 * Y2 * Y3, (Y1 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 41, 105)(20, 84, 44, 108)(22, 86, 46, 110)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 36, 100)(28, 92, 35, 99)(30, 94, 42, 106)(31, 95, 52, 116)(33, 97, 54, 118)(43, 107, 61, 125)(45, 109, 62, 126)(47, 111, 58, 122)(48, 112, 57, 121)(49, 113, 60, 124)(50, 114, 59, 123)(51, 115, 55, 119)(53, 117, 56, 120)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 170, 234, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 150, 214, 156, 220)(143, 207, 163, 227, 146, 210, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(152, 216, 175, 239, 174, 238, 176, 240)(154, 218, 160, 224, 177, 241, 157, 221)(159, 223, 181, 245, 173, 237, 179, 243)(161, 225, 183, 247, 171, 235, 184, 248)(162, 226, 185, 249, 166, 230, 186, 250)(168, 232, 172, 236, 188, 252, 169, 233)(178, 242, 190, 254, 191, 255, 180, 244)(182, 246, 192, 256, 189, 253, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 168)(18, 134)(19, 171)(20, 173)(21, 174)(22, 136)(23, 158)(24, 137)(25, 177)(26, 138)(27, 178)(28, 179)(29, 180)(30, 151)(31, 140)(32, 182)(33, 141)(34, 142)(35, 183)(36, 187)(37, 170)(38, 144)(39, 188)(40, 145)(41, 189)(42, 165)(43, 147)(44, 190)(45, 148)(46, 149)(47, 181)(48, 191)(49, 153)(50, 155)(51, 156)(52, 157)(53, 175)(54, 160)(55, 163)(56, 186)(57, 192)(58, 184)(59, 164)(60, 167)(61, 169)(62, 172)(63, 176)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1724
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^2 * Y3 * Y1^-2, Y1^-2 * Y3 * Y1^2 * Y2, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1 * Y3 * Y1^2 * Y3 * Y1 * Y2 * Y3, (Y3 * Y1^-1)^4, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 40, 104, 16, 80, 5, 69)(3, 67, 9, 73, 19, 83, 46, 110, 61, 125, 60, 124, 31, 95, 11, 75)(4, 68, 12, 76, 18, 82, 44, 108, 62, 126, 57, 121, 36, 100, 13, 77)(7, 71, 20, 84, 43, 107, 64, 128, 59, 123, 39, 103, 15, 79, 22, 86)(8, 72, 23, 87, 42, 106, 63, 127, 58, 122, 38, 102, 14, 78, 24, 88)(10, 74, 27, 91, 45, 109, 37, 101, 50, 114, 21, 85, 49, 113, 28, 92)(25, 89, 48, 112, 34, 98, 56, 120, 33, 97, 53, 117, 30, 94, 51, 115)(26, 90, 54, 118, 35, 99, 52, 116, 32, 96, 47, 111, 29, 93, 55, 119)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 157, 221)(140, 204, 160, 224)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 164, 228)(145, 209, 170, 234)(147, 211, 173, 237)(148, 212, 175, 239)(150, 214, 179, 243)(151, 215, 181, 245)(152, 216, 183, 247)(154, 218, 185, 249)(155, 219, 186, 250)(156, 220, 171, 235)(158, 222, 172, 236)(159, 223, 177, 241)(161, 225, 188, 252)(163, 227, 174, 238)(166, 230, 176, 240)(167, 231, 182, 246)(168, 232, 187, 251)(169, 233, 189, 253)(178, 242, 190, 254)(180, 244, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 158)(12, 161)(13, 163)(14, 165)(15, 133)(16, 159)(17, 171)(18, 173)(19, 134)(20, 176)(21, 135)(22, 180)(23, 182)(24, 184)(25, 185)(26, 137)(27, 187)(28, 170)(29, 172)(30, 139)(31, 144)(32, 188)(33, 140)(34, 174)(35, 141)(36, 177)(37, 142)(38, 175)(39, 181)(40, 186)(41, 190)(42, 156)(43, 145)(44, 157)(45, 146)(46, 162)(47, 166)(48, 148)(49, 164)(50, 189)(51, 191)(52, 150)(53, 167)(54, 151)(55, 192)(56, 152)(57, 153)(58, 168)(59, 155)(60, 160)(61, 178)(62, 169)(63, 179)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1721
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y2 * Y1^3 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y1 * Y3)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y1^2 * Y2 * Y3 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 40, 104, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 57, 121, 61, 125, 46, 110, 19, 83, 11, 75)(4, 68, 12, 76, 32, 96, 60, 124, 62, 126, 45, 109, 18, 82, 13, 77)(7, 71, 20, 84, 15, 79, 39, 103, 59, 123, 64, 128, 43, 107, 22, 86)(8, 72, 23, 87, 14, 78, 37, 101, 58, 122, 63, 127, 42, 106, 24, 88)(10, 74, 28, 92, 44, 108, 38, 102, 50, 114, 21, 85, 49, 113, 29, 93)(26, 90, 53, 117, 31, 95, 56, 120, 34, 98, 48, 112, 35, 99, 51, 115)(27, 91, 47, 111, 30, 94, 52, 116, 33, 97, 54, 118, 36, 100, 55, 119)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 158, 222)(140, 204, 161, 225)(141, 205, 163, 227)(143, 207, 166, 230)(144, 208, 160, 224)(145, 209, 170, 234)(147, 211, 172, 236)(148, 212, 175, 239)(150, 214, 179, 243)(151, 215, 181, 245)(152, 216, 183, 247)(153, 217, 177, 241)(155, 219, 173, 237)(156, 220, 186, 250)(157, 221, 171, 235)(159, 223, 188, 252)(162, 226, 174, 238)(164, 228, 185, 249)(165, 229, 180, 244)(167, 231, 184, 248)(168, 232, 187, 251)(169, 233, 189, 253)(176, 240, 191, 255)(178, 242, 190, 254)(182, 246, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 159)(12, 162)(13, 164)(14, 166)(15, 133)(16, 153)(17, 171)(18, 172)(19, 134)(20, 176)(21, 135)(22, 180)(23, 182)(24, 184)(25, 144)(26, 173)(27, 137)(28, 187)(29, 170)(30, 188)(31, 139)(32, 177)(33, 174)(34, 140)(35, 185)(36, 141)(37, 179)(38, 142)(39, 183)(40, 186)(41, 190)(42, 157)(43, 145)(44, 146)(45, 154)(46, 161)(47, 191)(48, 148)(49, 160)(50, 189)(51, 165)(52, 150)(53, 192)(54, 151)(55, 167)(56, 152)(57, 163)(58, 168)(59, 156)(60, 158)(61, 178)(62, 169)(63, 175)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1722
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3 * Y2 * Y1^-2, (Y1^-1 * Y3 * Y1^-1 * Y2)^2, (Y1^-1 * Y2)^4, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 13, 77, 4, 68, 12, 76, 30, 94, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 44, 108, 22, 86)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 58, 122, 36, 100)(26, 90, 47, 111, 55, 119, 43, 107, 27, 91, 48, 112, 54, 118, 42, 106)(28, 92, 49, 113, 57, 121, 41, 105, 29, 93, 50, 114, 56, 120, 40, 104)(45, 109, 60, 124, 63, 127, 62, 126, 46, 110, 59, 123, 64, 128, 61, 125)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 156, 220)(140, 204, 155, 219)(141, 205, 157, 221)(143, 207, 145, 209)(144, 208, 147, 211)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 169, 233)(152, 216, 171, 235)(153, 217, 173, 237)(158, 222, 174, 238)(159, 223, 177, 241)(160, 224, 175, 239)(161, 225, 178, 242)(162, 226, 176, 240)(163, 227, 182, 246)(164, 228, 184, 248)(165, 229, 183, 247)(166, 230, 185, 249)(167, 231, 187, 251)(172, 236, 188, 252)(179, 243, 190, 254)(180, 244, 189, 253)(181, 245, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 157)(12, 154)(13, 156)(14, 145)(15, 133)(16, 146)(17, 142)(18, 144)(19, 134)(20, 169)(21, 135)(22, 171)(23, 168)(24, 170)(25, 174)(26, 140)(27, 137)(28, 141)(29, 139)(30, 173)(31, 178)(32, 176)(33, 177)(34, 175)(35, 183)(36, 185)(37, 182)(38, 184)(39, 188)(40, 151)(41, 148)(42, 152)(43, 150)(44, 187)(45, 158)(46, 153)(47, 162)(48, 160)(49, 161)(50, 159)(51, 189)(52, 190)(53, 192)(54, 165)(55, 163)(56, 166)(57, 164)(58, 191)(59, 172)(60, 167)(61, 179)(62, 180)(63, 186)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1720
Graph:: bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3 * Y1 * Y3 * Y2 * Y1, (Y1^-2 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3)^2, Y1^3 * Y3 * Y1^-1 * Y2 * Y3, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 54, 118, 50, 114, 20, 84, 5, 69)(3, 67, 11, 75, 35, 99, 42, 106, 62, 126, 44, 108, 25, 89, 13, 77)(4, 68, 15, 79, 41, 105, 29, 93, 56, 120, 40, 104, 27, 91, 17, 81)(6, 70, 22, 86, 49, 113, 64, 128, 61, 125, 46, 110, 26, 90, 23, 87)(8, 72, 28, 92, 18, 82, 37, 101, 45, 109, 60, 124, 53, 117, 30, 94)(9, 73, 14, 78, 21, 85, 51, 115, 63, 127, 58, 122, 52, 116, 32, 96)(10, 74, 33, 97, 19, 83, 47, 111, 38, 102, 12, 76, 36, 100, 34, 98)(16, 80, 43, 107, 55, 119, 48, 112, 57, 121, 31, 95, 59, 123, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 151, 215)(138, 202, 157, 221)(139, 203, 159, 223)(141, 205, 167, 231)(143, 207, 147, 211)(144, 208, 165, 229)(145, 209, 166, 230)(148, 212, 163, 227)(149, 213, 174, 238)(150, 214, 180, 244)(152, 216, 181, 245)(154, 218, 162, 226)(155, 219, 179, 243)(156, 220, 183, 247)(158, 222, 185, 249)(160, 224, 169, 233)(161, 225, 189, 253)(164, 228, 168, 232)(170, 234, 176, 240)(171, 235, 172, 236)(173, 237, 178, 242)(175, 239, 177, 241)(182, 246, 190, 254)(184, 248, 186, 250)(187, 251, 188, 252)(191, 255, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 159)(10, 130)(11, 151)(12, 165)(13, 168)(14, 131)(15, 146)(16, 134)(17, 172)(18, 174)(19, 176)(20, 177)(21, 133)(22, 141)(23, 136)(24, 164)(25, 179)(26, 183)(27, 135)(28, 162)(29, 139)(30, 186)(31, 138)(32, 188)(33, 158)(34, 153)(35, 160)(36, 167)(37, 142)(38, 178)(39, 180)(40, 181)(41, 148)(42, 143)(43, 166)(44, 192)(45, 145)(46, 170)(47, 163)(48, 149)(49, 187)(50, 191)(51, 156)(52, 152)(53, 150)(54, 184)(55, 155)(56, 185)(57, 189)(58, 190)(59, 169)(60, 175)(61, 182)(62, 161)(63, 171)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1714
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3 * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y1^2 * Y2)^2, Y1^3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 54, 118, 49, 113, 20, 84, 5, 69)(3, 67, 11, 75, 35, 99, 51, 115, 60, 124, 53, 117, 25, 89, 13, 77)(4, 68, 15, 79, 41, 105, 63, 127, 59, 123, 45, 109, 27, 91, 17, 81)(6, 70, 22, 86, 48, 112, 30, 94, 58, 122, 38, 102, 26, 90, 23, 87)(8, 72, 28, 92, 18, 82, 36, 100, 52, 116, 62, 126, 43, 107, 29, 93)(9, 73, 31, 95, 21, 85, 50, 114, 40, 104, 14, 78, 39, 103, 33, 97)(10, 74, 12, 76, 19, 83, 46, 110, 64, 128, 57, 121, 42, 106, 34, 98)(16, 80, 44, 108, 55, 119, 47, 111, 56, 120, 32, 96, 61, 125, 37, 101)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 158, 222)(138, 202, 145, 209)(139, 203, 160, 224)(141, 205, 165, 229)(143, 207, 170, 234)(144, 208, 164, 228)(147, 211, 173, 237)(148, 212, 163, 227)(149, 213, 150, 214)(151, 215, 168, 232)(152, 216, 171, 235)(154, 218, 174, 238)(155, 219, 161, 225)(156, 220, 183, 247)(157, 221, 184, 248)(159, 223, 187, 251)(162, 226, 176, 240)(166, 230, 167, 231)(169, 233, 178, 242)(172, 236, 181, 245)(175, 239, 179, 243)(177, 241, 180, 244)(182, 246, 188, 252)(185, 249, 186, 250)(189, 253, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 145)(9, 160)(10, 130)(11, 158)(12, 164)(13, 143)(14, 131)(15, 171)(16, 134)(17, 139)(18, 150)(19, 175)(20, 176)(21, 133)(22, 179)(23, 180)(24, 170)(25, 161)(26, 183)(27, 135)(28, 174)(29, 159)(30, 136)(31, 188)(32, 138)(33, 156)(34, 163)(35, 178)(36, 142)(37, 167)(38, 141)(39, 152)(40, 172)(41, 148)(42, 165)(43, 166)(44, 192)(45, 146)(46, 153)(47, 149)(48, 189)(49, 168)(50, 190)(51, 173)(52, 191)(53, 151)(54, 187)(55, 155)(56, 186)(57, 157)(58, 182)(59, 184)(60, 185)(61, 169)(62, 162)(63, 181)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1713
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y1^-1)^2, (Y1^2 * Y2)^2, Y1^2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1, Y1^-1 * Y3^-2 * Y1^2 * Y3^2 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 54, 118, 50, 114, 20, 84, 5, 69)(3, 67, 11, 75, 35, 99, 43, 107, 60, 124, 46, 110, 25, 89, 13, 77)(4, 68, 15, 79, 42, 106, 37, 101, 63, 127, 41, 105, 27, 91, 17, 81)(6, 70, 22, 86, 49, 113, 29, 93, 59, 123, 57, 121, 26, 90, 23, 87)(8, 72, 28, 92, 18, 82, 47, 111, 53, 117, 62, 126, 44, 108, 30, 94)(9, 73, 31, 95, 21, 85, 51, 115, 39, 103, 12, 76, 38, 102, 33, 97)(10, 74, 14, 78, 19, 83, 48, 112, 52, 116, 64, 128, 55, 119, 34, 98)(16, 80, 36, 100, 56, 120, 40, 104, 61, 125, 32, 96, 58, 122, 45, 109)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 145, 209)(138, 202, 157, 221)(139, 203, 164, 228)(141, 205, 168, 232)(143, 207, 166, 230)(144, 208, 158, 222)(147, 211, 150, 214)(148, 212, 163, 227)(149, 213, 169, 233)(151, 215, 180, 244)(152, 216, 172, 236)(154, 218, 161, 225)(155, 219, 176, 240)(156, 220, 186, 250)(159, 223, 187, 251)(160, 224, 174, 238)(162, 226, 170, 234)(165, 229, 167, 231)(171, 235, 173, 237)(175, 239, 189, 253)(177, 241, 179, 243)(178, 242, 181, 245)(182, 246, 188, 252)(183, 247, 185, 249)(184, 248, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 165)(12, 158)(13, 150)(14, 131)(15, 171)(16, 134)(17, 136)(18, 169)(19, 168)(20, 177)(21, 133)(22, 146)(23, 139)(24, 183)(25, 176)(26, 184)(27, 135)(28, 179)(29, 174)(30, 142)(31, 175)(32, 138)(33, 153)(34, 156)(35, 162)(36, 180)(37, 181)(38, 152)(39, 164)(40, 149)(41, 141)(42, 148)(43, 185)(44, 143)(45, 166)(46, 145)(47, 192)(48, 190)(49, 186)(50, 167)(51, 163)(52, 178)(53, 151)(54, 191)(55, 173)(56, 155)(57, 172)(58, 170)(59, 182)(60, 159)(61, 187)(62, 161)(63, 189)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1715
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3 * Y1 * Y3^-1 * Y2 * Y1, (Y1 * Y2 * Y1)^2, (Y3 * Y1^2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * R * Y2)^2, (Y2 * Y1^2)^2, Y1^3 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 54, 118, 49, 113, 20, 84, 5, 69)(3, 67, 11, 75, 35, 99, 52, 116, 61, 125, 53, 117, 25, 89, 13, 77)(4, 68, 15, 79, 42, 106, 30, 94, 59, 123, 57, 121, 27, 91, 17, 81)(6, 70, 22, 86, 48, 112, 37, 101, 63, 127, 39, 103, 26, 90, 23, 87)(8, 72, 28, 92, 18, 82, 46, 110, 45, 109, 62, 126, 51, 115, 29, 93)(9, 73, 12, 76, 21, 85, 50, 114, 44, 108, 64, 128, 55, 119, 32, 96)(10, 74, 33, 97, 19, 83, 47, 111, 41, 105, 14, 78, 40, 104, 34, 98)(16, 80, 36, 100, 56, 120, 38, 102, 60, 124, 31, 95, 58, 122, 43, 107)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 158, 222)(138, 202, 151, 215)(139, 203, 164, 228)(141, 205, 166, 230)(143, 207, 149, 213)(144, 208, 157, 221)(145, 209, 172, 236)(147, 211, 167, 231)(148, 212, 163, 227)(150, 214, 168, 232)(152, 216, 179, 243)(154, 218, 178, 242)(155, 219, 162, 226)(156, 220, 186, 250)(159, 223, 181, 245)(160, 224, 176, 240)(161, 225, 187, 251)(165, 229, 169, 233)(170, 234, 175, 239)(171, 235, 180, 244)(173, 237, 177, 241)(174, 238, 188, 252)(182, 246, 189, 253)(183, 247, 185, 249)(184, 248, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 151)(9, 159)(10, 130)(11, 145)(12, 157)(13, 167)(14, 131)(15, 141)(16, 134)(17, 173)(18, 143)(19, 166)(20, 176)(21, 133)(22, 179)(23, 181)(24, 168)(25, 162)(26, 184)(27, 135)(28, 160)(29, 142)(30, 136)(31, 138)(32, 163)(33, 189)(34, 190)(35, 175)(36, 169)(37, 139)(38, 149)(39, 146)(40, 171)(41, 177)(42, 148)(43, 183)(44, 164)(45, 165)(46, 161)(47, 156)(48, 186)(49, 172)(50, 153)(51, 185)(52, 150)(53, 158)(54, 187)(55, 152)(56, 155)(57, 180)(58, 170)(59, 188)(60, 191)(61, 192)(62, 178)(63, 182)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1716
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^3, Y2 * Y1^2 * Y2 * Y1^-2, Y1 * Y3 * Y2 * Y1^-2 * Y3 * Y1, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y1^-1 * Y3 * Y1 * Y3)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 40, 104, 25, 89, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 14, 78, 22, 86, 7, 71, 20, 84, 11, 75)(4, 68, 12, 76, 30, 94, 50, 114, 58, 122, 48, 112, 35, 99, 13, 77)(8, 72, 23, 87, 29, 93, 52, 116, 47, 111, 57, 121, 36, 100, 24, 88)(10, 74, 27, 91, 19, 83, 33, 97, 43, 107, 31, 95, 39, 103, 28, 92)(15, 79, 37, 101, 21, 85, 42, 106, 41, 105, 45, 109, 26, 90, 38, 102)(32, 96, 54, 118, 51, 115, 63, 127, 61, 125, 59, 123, 55, 119, 46, 110)(34, 98, 56, 120, 53, 117, 64, 128, 62, 126, 60, 124, 49, 113, 44, 108)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 145, 209)(140, 204, 159, 223)(141, 205, 161, 225)(143, 207, 164, 228)(144, 208, 148, 212)(147, 211, 158, 222)(150, 214, 168, 232)(151, 215, 166, 230)(152, 216, 173, 237)(154, 218, 175, 239)(155, 219, 176, 240)(156, 220, 178, 242)(157, 221, 169, 233)(160, 224, 181, 245)(162, 226, 183, 247)(163, 227, 167, 231)(165, 229, 180, 244)(170, 234, 185, 249)(171, 235, 186, 250)(172, 236, 182, 246)(174, 238, 188, 252)(177, 241, 189, 253)(179, 243, 190, 254)(184, 248, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 160)(13, 162)(14, 164)(15, 133)(16, 167)(17, 169)(18, 158)(19, 134)(20, 163)(21, 135)(22, 171)(23, 172)(24, 174)(25, 175)(26, 137)(27, 177)(28, 179)(29, 139)(30, 146)(31, 181)(32, 140)(33, 183)(34, 141)(35, 148)(36, 142)(37, 184)(38, 182)(39, 144)(40, 186)(41, 145)(42, 187)(43, 150)(44, 151)(45, 188)(46, 152)(47, 153)(48, 189)(49, 155)(50, 190)(51, 156)(52, 191)(53, 159)(54, 166)(55, 161)(56, 165)(57, 192)(58, 168)(59, 170)(60, 173)(61, 176)(62, 178)(63, 180)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1719
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-2 * Y2 * Y3 * Y1^-2 * Y3, (Y2 * Y1^-1 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 40, 104, 25, 89, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 14, 78, 22, 86, 7, 71, 20, 84, 11, 75)(4, 68, 12, 76, 30, 94, 50, 114, 58, 122, 48, 112, 35, 99, 13, 77)(8, 72, 23, 87, 36, 100, 57, 121, 47, 111, 52, 116, 29, 93, 24, 88)(10, 74, 27, 91, 39, 103, 33, 97, 43, 107, 31, 95, 19, 83, 28, 92)(15, 79, 37, 101, 26, 90, 44, 108, 41, 105, 42, 106, 21, 85, 38, 102)(32, 96, 54, 118, 55, 119, 64, 128, 61, 125, 60, 124, 51, 115, 46, 110)(34, 98, 56, 120, 49, 113, 62, 126, 63, 127, 59, 123, 53, 117, 45, 109)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 145, 209)(140, 204, 159, 223)(141, 205, 161, 225)(143, 207, 164, 228)(144, 208, 148, 212)(147, 211, 163, 227)(150, 214, 168, 232)(151, 215, 172, 236)(152, 216, 165, 229)(154, 218, 175, 239)(155, 219, 176, 240)(156, 220, 178, 242)(157, 221, 169, 233)(158, 222, 167, 231)(160, 224, 181, 245)(162, 226, 183, 247)(166, 230, 180, 244)(170, 234, 185, 249)(171, 235, 186, 250)(173, 237, 188, 252)(174, 238, 184, 248)(177, 241, 189, 253)(179, 243, 191, 255)(182, 246, 190, 254)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 160)(13, 162)(14, 164)(15, 133)(16, 167)(17, 169)(18, 163)(19, 134)(20, 158)(21, 135)(22, 171)(23, 173)(24, 174)(25, 175)(26, 137)(27, 177)(28, 179)(29, 139)(30, 148)(31, 181)(32, 140)(33, 183)(34, 141)(35, 146)(36, 142)(37, 184)(38, 182)(39, 144)(40, 186)(41, 145)(42, 187)(43, 150)(44, 188)(45, 151)(46, 152)(47, 153)(48, 189)(49, 155)(50, 191)(51, 156)(52, 190)(53, 159)(54, 166)(55, 161)(56, 165)(57, 192)(58, 168)(59, 170)(60, 172)(61, 176)(62, 180)(63, 178)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1718
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1^4, (Y1^-1 * Y3 * Y1 * Y3)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 10, 74, 3, 67, 7, 71, 14, 78, 5, 69)(4, 68, 11, 75, 22, 86, 20, 84, 9, 73, 19, 83, 25, 89, 12, 76)(8, 72, 17, 81, 33, 97, 32, 96, 16, 80, 31, 95, 36, 100, 18, 82)(13, 77, 26, 90, 45, 109, 40, 104, 21, 85, 39, 103, 46, 110, 27, 91)(15, 79, 29, 93, 49, 113, 48, 112, 28, 92, 47, 111, 52, 116, 30, 94)(23, 87, 42, 106, 60, 124, 54, 118, 37, 101, 57, 121, 50, 114, 35, 99)(24, 88, 43, 107, 61, 125, 53, 117, 38, 102, 58, 122, 51, 115, 34, 98)(41, 105, 56, 120, 63, 127, 62, 126, 44, 108, 55, 119, 64, 128, 59, 123)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 142, 206)(136, 200, 144, 208)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(143, 207, 156, 220)(145, 209, 159, 223)(146, 210, 160, 224)(150, 214, 153, 217)(151, 215, 165, 229)(152, 216, 166, 230)(154, 218, 167, 231)(155, 219, 168, 232)(157, 221, 175, 239)(158, 222, 176, 240)(161, 225, 164, 228)(162, 226, 181, 245)(163, 227, 182, 246)(169, 233, 172, 236)(170, 234, 185, 249)(171, 235, 186, 250)(173, 237, 174, 238)(177, 241, 180, 244)(178, 242, 188, 252)(179, 243, 189, 253)(183, 247, 184, 248)(187, 251, 190, 254)(191, 255, 192, 256)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 143)(7, 144)(8, 130)(9, 131)(10, 149)(11, 151)(12, 152)(13, 133)(14, 156)(15, 134)(16, 135)(17, 162)(18, 163)(19, 165)(20, 166)(21, 138)(22, 169)(23, 139)(24, 140)(25, 172)(26, 171)(27, 170)(28, 142)(29, 178)(30, 179)(31, 181)(32, 182)(33, 183)(34, 145)(35, 146)(36, 184)(37, 147)(38, 148)(39, 186)(40, 185)(41, 150)(42, 155)(43, 154)(44, 153)(45, 190)(46, 187)(47, 188)(48, 189)(49, 191)(50, 157)(51, 158)(52, 192)(53, 159)(54, 160)(55, 161)(56, 164)(57, 168)(58, 167)(59, 174)(60, 175)(61, 176)(62, 173)(63, 177)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1717
Graph:: bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y3, (Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1^-2, Y1^4, (Y3 * Y1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-2 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y2^-1, Y2^8, Y2^-1 * Y3 * Y2 * Y3^-2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 12, 76, 30, 94, 11, 75)(4, 68, 15, 79, 35, 99, 18, 82)(6, 70, 10, 74, 7, 71, 20, 84)(9, 73, 24, 88, 48, 112, 23, 87)(13, 77, 32, 96, 49, 113, 26, 90)(14, 78, 27, 91, 22, 86, 31, 95)(16, 80, 37, 101, 21, 85, 28, 92)(17, 81, 25, 89, 50, 114, 40, 104)(19, 83, 41, 105, 47, 111, 44, 108)(29, 93, 55, 119, 36, 100, 58, 122)(33, 97, 60, 124, 39, 103, 57, 121)(34, 98, 56, 120, 38, 102, 59, 123)(42, 106, 51, 115, 45, 109, 54, 118)(43, 107, 53, 117, 46, 110, 52, 116)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 141, 205, 161, 225, 189, 253, 173, 237, 149, 213, 134, 198)(130, 194, 137, 201, 153, 217, 179, 243, 191, 255, 187, 251, 159, 223, 139, 203)(132, 196, 144, 208, 166, 230, 190, 254, 174, 238, 177, 241, 151, 215, 136, 200)(133, 197, 138, 202, 155, 219, 181, 245, 192, 256, 188, 252, 168, 232, 146, 210)(135, 199, 147, 211, 170, 234, 178, 242, 167, 231, 186, 250, 158, 222, 142, 206)(140, 204, 157, 221, 184, 248, 165, 229, 182, 246, 169, 233, 176, 240, 154, 218)(143, 207, 164, 228, 185, 249, 160, 224, 180, 244, 172, 236, 148, 212, 156, 220)(145, 209, 152, 216, 175, 239, 171, 235, 150, 214, 162, 226, 183, 247, 163, 227)
	L = (1, 132)(2, 138)(3, 142)(4, 145)(5, 137)(6, 147)(7, 129)(8, 131)(9, 154)(10, 156)(11, 157)(12, 130)(13, 151)(14, 162)(15, 133)(16, 134)(17, 167)(18, 164)(19, 171)(20, 155)(21, 166)(22, 135)(23, 175)(24, 136)(25, 146)(26, 180)(27, 139)(28, 182)(29, 185)(30, 141)(31, 181)(32, 140)(33, 186)(34, 190)(35, 144)(36, 184)(37, 143)(38, 183)(39, 189)(40, 179)(41, 148)(42, 149)(43, 177)(44, 176)(45, 178)(46, 150)(47, 170)(48, 153)(49, 161)(50, 152)(51, 169)(52, 192)(53, 172)(54, 191)(55, 158)(56, 159)(57, 168)(58, 163)(59, 165)(60, 160)(61, 174)(62, 173)(63, 188)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1710
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * R)^2, (Y1 * Y3)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y1^4, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^2, Y3 * Y2^2 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * R * Y2 * R * Y1^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3^-1 * Y2^2 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1, (Y1 * Y3 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 41, 105, 11, 75)(4, 68, 17, 81, 49, 113, 20, 84)(6, 70, 21, 85, 52, 116, 25, 89)(7, 71, 27, 91, 39, 103, 10, 74)(9, 73, 33, 97, 61, 125, 31, 95)(12, 76, 43, 107, 59, 123, 30, 94)(14, 78, 44, 108, 18, 82, 47, 111)(15, 79, 37, 101, 19, 83, 34, 98)(16, 80, 36, 100, 57, 121, 46, 110)(22, 86, 32, 96, 62, 126, 48, 112)(23, 87, 29, 93, 55, 119, 51, 115)(24, 88, 45, 109, 60, 124, 53, 117)(26, 90, 38, 102, 56, 120, 35, 99)(28, 92, 42, 106, 58, 122, 54, 118)(40, 104, 63, 127, 50, 114, 64, 128)(129, 193, 131, 195, 142, 206, 167, 231, 185, 249, 158, 222, 154, 218, 134, 198)(130, 194, 137, 201, 162, 226, 187, 251, 174, 238, 150, 214, 170, 234, 139, 203)(132, 196, 146, 210, 159, 223, 136, 200, 157, 221, 184, 248, 176, 240, 144, 208)(133, 197, 149, 213, 182, 246, 148, 212, 164, 228, 138, 202, 165, 229, 151, 215)(135, 199, 152, 216, 169, 233, 186, 250, 180, 244, 192, 256, 171, 235, 143, 207)(140, 204, 168, 232, 189, 253, 175, 239, 141, 205, 173, 237, 190, 254, 163, 227)(145, 209, 178, 242, 153, 217, 166, 230, 183, 247, 181, 245, 155, 219, 172, 236)(147, 211, 161, 225, 191, 255, 177, 241, 156, 220, 160, 224, 188, 252, 179, 243)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 150)(6, 152)(7, 129)(8, 158)(9, 163)(10, 166)(11, 168)(12, 130)(13, 174)(14, 176)(15, 160)(16, 131)(17, 133)(18, 134)(19, 180)(20, 181)(21, 172)(22, 175)(23, 178)(24, 177)(25, 165)(26, 159)(27, 182)(28, 135)(29, 156)(30, 186)(31, 188)(32, 136)(33, 144)(34, 148)(35, 145)(36, 137)(37, 139)(38, 141)(39, 192)(40, 155)(41, 154)(42, 151)(43, 142)(44, 140)(45, 153)(46, 149)(47, 183)(48, 191)(49, 184)(50, 190)(51, 146)(52, 185)(53, 189)(54, 187)(55, 164)(56, 167)(57, 157)(58, 161)(59, 173)(60, 171)(61, 170)(62, 162)(63, 169)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1711
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2^-1)^2, Y1^4, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y3^-3 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y1^-2, Y3 * Y2 * R * Y2^-1 * R * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 45, 109, 16, 80)(4, 68, 18, 82, 49, 113, 21, 85)(6, 70, 24, 88, 35, 99, 9, 73)(7, 71, 27, 91, 39, 103, 10, 74)(11, 75, 40, 104, 56, 120, 29, 93)(12, 76, 43, 107, 59, 123, 30, 94)(14, 78, 38, 102, 61, 125, 41, 105)(15, 79, 48, 112, 55, 119, 50, 114)(17, 81, 52, 116, 26, 90, 44, 108)(19, 83, 37, 101, 57, 121, 47, 111)(20, 84, 42, 106, 25, 89, 36, 100)(22, 86, 31, 95, 60, 124, 53, 117)(23, 87, 32, 96, 62, 126, 54, 118)(28, 92, 33, 97, 58, 122, 46, 110)(34, 98, 63, 127, 51, 115, 64, 128)(129, 193, 131, 195, 142, 206, 158, 222, 185, 249, 167, 231, 154, 218, 134, 198)(130, 194, 137, 201, 161, 225, 151, 215, 175, 239, 187, 251, 170, 234, 139, 203)(132, 196, 147, 211, 182, 246, 189, 253, 159, 223, 136, 200, 157, 221, 145, 209)(133, 197, 150, 214, 164, 228, 138, 202, 165, 229, 149, 213, 174, 238, 141, 205)(135, 199, 153, 217, 171, 235, 192, 256, 173, 237, 186, 250, 163, 227, 143, 207)(140, 204, 169, 233, 190, 254, 176, 240, 152, 216, 180, 244, 184, 248, 162, 226)(144, 208, 179, 243, 146, 210, 172, 236, 155, 219, 178, 242, 188, 252, 166, 230)(148, 212, 181, 245, 183, 247, 160, 224, 156, 220, 177, 241, 191, 255, 168, 232)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 151)(6, 153)(7, 129)(8, 158)(9, 162)(10, 166)(11, 169)(12, 130)(13, 172)(14, 157)(15, 177)(16, 164)(17, 131)(18, 133)(19, 134)(20, 173)(21, 178)(22, 179)(23, 180)(24, 175)(25, 160)(26, 182)(27, 174)(28, 135)(29, 183)(30, 186)(31, 156)(32, 136)(33, 150)(34, 155)(35, 142)(36, 137)(37, 139)(38, 152)(39, 192)(40, 147)(41, 146)(42, 149)(43, 154)(44, 140)(45, 185)(46, 187)(47, 141)(48, 144)(49, 189)(50, 184)(51, 190)(52, 188)(53, 145)(54, 191)(55, 171)(56, 161)(57, 159)(58, 168)(59, 176)(60, 165)(61, 167)(62, 170)(63, 163)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1708
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y3)^2, Y3^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1^-1, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^2 * Y1 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y2^3 * Y3^2 * R * Y2 * R, Y3^-1 * Y2 * Y3^3 * Y2^-3, Y2^8, Y2^2 * Y3 * Y1^-1 * Y3 * Y2^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 10, 74, 7, 71, 15, 79)(4, 68, 17, 81, 40, 104, 19, 83)(6, 70, 12, 76, 27, 91, 9, 73)(11, 75, 24, 88, 49, 113, 23, 87)(13, 77, 29, 93, 16, 80, 35, 99)(14, 78, 37, 101, 48, 112, 39, 103)(18, 82, 31, 95, 50, 114, 43, 107)(20, 84, 28, 92, 22, 86, 25, 89)(21, 85, 32, 96, 47, 111, 30, 94)(26, 90, 54, 118, 41, 105, 56, 120)(33, 97, 57, 121, 36, 100, 59, 123)(34, 98, 51, 115, 44, 108, 53, 117)(38, 102, 52, 116, 46, 110, 58, 122)(42, 106, 55, 119, 45, 109, 60, 124)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 141, 205, 161, 225, 189, 253, 173, 237, 149, 213, 134, 198)(130, 194, 137, 201, 153, 217, 179, 243, 191, 255, 187, 251, 159, 223, 139, 203)(132, 196, 136, 200, 151, 215, 175, 239, 174, 238, 190, 254, 162, 226, 144, 208)(133, 197, 147, 211, 171, 235, 188, 252, 192, 256, 180, 244, 156, 220, 138, 202)(135, 199, 148, 212, 155, 219, 184, 248, 170, 234, 178, 242, 164, 228, 142, 206)(140, 204, 158, 222, 177, 241, 165, 229, 185, 249, 163, 227, 181, 245, 154, 218)(143, 207, 167, 231, 186, 250, 160, 224, 183, 247, 169, 233, 145, 209, 157, 221)(146, 210, 168, 232, 182, 246, 172, 236, 150, 214, 166, 230, 176, 240, 152, 216)
	L = (1, 132)(2, 138)(3, 142)(4, 146)(5, 139)(6, 148)(7, 129)(8, 134)(9, 154)(10, 157)(11, 158)(12, 130)(13, 162)(14, 166)(15, 156)(16, 131)(17, 133)(18, 170)(19, 169)(20, 172)(21, 151)(22, 135)(23, 176)(24, 136)(25, 180)(26, 183)(27, 149)(28, 137)(29, 185)(30, 186)(31, 147)(32, 140)(33, 178)(34, 182)(35, 145)(36, 141)(37, 143)(38, 175)(39, 177)(40, 144)(41, 181)(42, 189)(43, 187)(44, 190)(45, 184)(46, 150)(47, 173)(48, 164)(49, 159)(50, 152)(51, 163)(52, 167)(53, 153)(54, 155)(55, 171)(56, 168)(57, 191)(58, 192)(59, 165)(60, 160)(61, 174)(62, 161)(63, 188)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1709
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^-3, (Y3^-1 * Y1^-1)^2, (Y3, Y2^-1), (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, (Y2 * Y1^-1)^4, Y3 * Y2 * Y1^2 * Y2^-2 * Y1^-2, Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 35, 99, 16, 80)(4, 68, 18, 82, 45, 109, 19, 83)(6, 70, 22, 86, 30, 94, 9, 73)(7, 71, 23, 87, 32, 96, 10, 74)(11, 75, 33, 97, 52, 116, 24, 88)(12, 76, 34, 98, 54, 118, 25, 89)(14, 78, 39, 103, 51, 115, 40, 104)(15, 79, 41, 105, 50, 114, 42, 106)(17, 81, 31, 95, 53, 117, 36, 100)(20, 84, 26, 90, 55, 119, 46, 110)(21, 85, 27, 91, 56, 120, 47, 111)(28, 92, 57, 121, 37, 101, 58, 122)(29, 93, 59, 123, 38, 102, 60, 124)(43, 107, 62, 126, 49, 113, 63, 127)(44, 108, 61, 125, 48, 112, 64, 128)(129, 193, 131, 195, 142, 206, 135, 199, 145, 209, 132, 196, 143, 207, 134, 198)(130, 194, 137, 201, 156, 220, 140, 204, 159, 223, 138, 202, 157, 221, 139, 203)(133, 197, 148, 212, 166, 230, 146, 210, 164, 228, 149, 213, 165, 229, 141, 205)(136, 200, 152, 216, 178, 242, 155, 219, 181, 245, 153, 217, 179, 243, 154, 218)(144, 208, 171, 235, 184, 248, 169, 233, 147, 211, 172, 236, 183, 247, 167, 231)(150, 214, 170, 234, 180, 244, 177, 241, 151, 215, 168, 232, 182, 246, 176, 240)(158, 222, 189, 253, 173, 237, 187, 251, 160, 224, 190, 254, 163, 227, 185, 249)(161, 225, 188, 252, 174, 238, 192, 256, 162, 226, 186, 250, 175, 239, 191, 255)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 149)(6, 145)(7, 129)(8, 153)(9, 157)(10, 156)(11, 159)(12, 130)(13, 164)(14, 134)(15, 135)(16, 172)(17, 131)(18, 133)(19, 171)(20, 165)(21, 166)(22, 168)(23, 170)(24, 179)(25, 178)(26, 181)(27, 136)(28, 139)(29, 140)(30, 190)(31, 137)(32, 189)(33, 186)(34, 188)(35, 187)(36, 148)(37, 146)(38, 141)(39, 147)(40, 180)(41, 144)(42, 182)(43, 183)(44, 184)(45, 185)(46, 191)(47, 192)(48, 151)(49, 150)(50, 154)(51, 155)(52, 176)(53, 152)(54, 177)(55, 169)(56, 167)(57, 160)(58, 174)(59, 158)(60, 175)(61, 163)(62, 173)(63, 162)(64, 161)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1712
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y1 * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 17, 81)(14, 78, 24, 88)(15, 79, 26, 90)(20, 84, 25, 89)(22, 86, 31, 95)(23, 87, 32, 96)(27, 91, 35, 99)(28, 92, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(33, 97, 41, 105)(34, 98, 42, 106)(39, 103, 47, 111)(40, 104, 48, 112)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(49, 113, 57, 121)(50, 114, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 137, 201)(133, 197, 138, 202)(135, 199, 142, 206)(136, 200, 143, 207)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 152, 216)(145, 209, 153, 217)(146, 210, 154, 218)(150, 214, 157, 221)(151, 215, 158, 222)(155, 219, 161, 225)(156, 220, 162, 226)(159, 223, 165, 229)(160, 224, 166, 230)(163, 227, 169, 233)(164, 228, 170, 234)(167, 231, 173, 237)(168, 232, 174, 238)(171, 235, 177, 241)(172, 236, 178, 242)(175, 239, 181, 245)(176, 240, 182, 246)(179, 243, 185, 249)(180, 244, 186, 250)(183, 247, 189, 253)(184, 248, 190, 254)(187, 251, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 151)(14, 153)(15, 134)(16, 155)(17, 136)(18, 156)(19, 157)(20, 138)(21, 158)(22, 141)(23, 139)(24, 161)(25, 143)(26, 162)(27, 146)(28, 144)(29, 149)(30, 147)(31, 167)(32, 168)(33, 154)(34, 152)(35, 171)(36, 172)(37, 173)(38, 174)(39, 160)(40, 159)(41, 177)(42, 178)(43, 164)(44, 163)(45, 166)(46, 165)(47, 183)(48, 184)(49, 170)(50, 169)(51, 187)(52, 188)(53, 189)(54, 190)(55, 176)(56, 175)(57, 191)(58, 192)(59, 180)(60, 179)(61, 182)(62, 181)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1743
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3)^2, (Y3 * Y2)^8, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(23, 87, 33, 97)(24, 88, 35, 99)(25, 89, 30, 94)(26, 90, 34, 98)(27, 91, 36, 100)(28, 92, 37, 101)(29, 93, 39, 103)(31, 95, 38, 102)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 51, 115)(43, 107, 50, 114)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 153, 217, 141, 205)(135, 199, 147, 211, 158, 222, 148, 212)(137, 201, 151, 215, 142, 206, 152, 216)(139, 203, 154, 218, 143, 207, 155, 219)(144, 208, 156, 220, 149, 213, 157, 221)(146, 210, 159, 223, 150, 214, 160, 224)(161, 225, 169, 233, 163, 227, 170, 234)(162, 226, 171, 235, 164, 228, 172, 236)(165, 229, 173, 237, 167, 231, 174, 238)(166, 230, 175, 239, 168, 232, 176, 240)(177, 241, 185, 249, 179, 243, 186, 250)(178, 242, 187, 251, 180, 244, 188, 252)(181, 245, 189, 253, 183, 247, 190, 254)(182, 246, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 153)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 158)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 162)(24, 164)(25, 138)(26, 161)(27, 163)(28, 166)(29, 168)(30, 145)(31, 165)(32, 167)(33, 154)(34, 151)(35, 155)(36, 152)(37, 159)(38, 156)(39, 160)(40, 157)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 171)(50, 169)(51, 172)(52, 170)(53, 175)(54, 173)(55, 176)(56, 174)(57, 191)(58, 192)(59, 189)(60, 190)(61, 187)(62, 188)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1742
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, (Y2^-1 * Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 24, 88)(20, 84, 25, 89)(21, 85, 26, 90)(22, 86, 27, 91)(23, 87, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 147, 211, 140, 204)(135, 199, 144, 208, 152, 216, 145, 209)(138, 202, 148, 212, 141, 205, 149, 213)(143, 207, 153, 217, 146, 210, 154, 218)(150, 214, 159, 223, 151, 215, 160, 224)(155, 219, 163, 227, 156, 220, 164, 228)(157, 221, 165, 229, 158, 222, 166, 230)(161, 225, 169, 233, 162, 226, 170, 234)(167, 231, 175, 239, 168, 232, 176, 240)(171, 235, 179, 243, 172, 236, 180, 244)(173, 237, 181, 245, 174, 238, 182, 246)(177, 241, 185, 249, 178, 242, 186, 250)(183, 247, 189, 253, 184, 248, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 150)(12, 151)(13, 133)(14, 152)(15, 134)(16, 155)(17, 156)(18, 136)(19, 137)(20, 157)(21, 158)(22, 139)(23, 140)(24, 142)(25, 161)(26, 162)(27, 144)(28, 145)(29, 148)(30, 149)(31, 167)(32, 168)(33, 153)(34, 154)(35, 171)(36, 172)(37, 173)(38, 174)(39, 159)(40, 160)(41, 177)(42, 178)(43, 163)(44, 164)(45, 165)(46, 166)(47, 183)(48, 184)(49, 169)(50, 170)(51, 187)(52, 188)(53, 189)(54, 190)(55, 175)(56, 176)(57, 191)(58, 192)(59, 179)(60, 180)(61, 181)(62, 182)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1741
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, (Y2 * Y1^-2)^2, (Y3 * Y1^-2)^2, (Y1^-1 * Y2)^4, (Y3 * Y1)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 45, 109, 52, 116, 39, 103, 18, 82, 11, 75)(4, 68, 12, 76, 31, 95, 49, 113, 53, 117, 40, 104, 19, 83, 13, 77)(7, 71, 20, 84, 14, 78, 32, 96, 50, 114, 55, 119, 36, 100, 22, 86)(8, 72, 23, 87, 15, 79, 33, 97, 51, 115, 56, 120, 37, 101, 24, 88)(10, 74, 21, 85, 38, 102, 54, 118, 62, 126, 61, 125, 46, 110, 28, 92)(26, 90, 41, 105, 29, 93, 43, 107, 57, 121, 63, 127, 59, 123, 47, 111)(27, 91, 42, 106, 30, 94, 44, 108, 58, 122, 64, 128, 60, 124, 48, 112)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 157, 221)(140, 204, 155, 219)(141, 205, 158, 222)(143, 207, 156, 220)(144, 208, 153, 217)(145, 209, 164, 228)(147, 211, 166, 230)(148, 212, 169, 233)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(159, 223, 174, 238)(160, 224, 175, 239)(161, 225, 176, 240)(162, 226, 178, 242)(163, 227, 180, 244)(165, 229, 182, 246)(167, 231, 185, 249)(168, 232, 186, 250)(173, 237, 187, 251)(177, 241, 188, 252)(179, 243, 189, 253)(181, 245, 190, 254)(183, 247, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 158)(12, 154)(13, 157)(14, 156)(15, 133)(16, 159)(17, 165)(18, 166)(19, 134)(20, 170)(21, 135)(22, 172)(23, 169)(24, 171)(25, 174)(26, 140)(27, 137)(28, 142)(29, 141)(30, 139)(31, 144)(32, 176)(33, 175)(34, 179)(35, 181)(36, 182)(37, 145)(38, 146)(39, 186)(40, 185)(41, 151)(42, 148)(43, 152)(44, 150)(45, 188)(46, 153)(47, 161)(48, 160)(49, 187)(50, 189)(51, 162)(52, 190)(53, 163)(54, 164)(55, 192)(56, 191)(57, 168)(58, 167)(59, 177)(60, 173)(61, 178)(62, 180)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1740
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 7, 71, 16, 80, 31, 95, 47, 111, 43, 107, 24, 88, 10, 74)(4, 68, 11, 75, 25, 89, 44, 108, 48, 112, 34, 98, 17, 81, 12, 76)(8, 72, 19, 83, 13, 77, 28, 92, 46, 110, 50, 114, 32, 96, 20, 84)(9, 73, 21, 85, 39, 103, 55, 119, 59, 123, 51, 115, 33, 97, 22, 86)(18, 82, 35, 99, 23, 87, 42, 106, 57, 121, 60, 124, 49, 113, 36, 100)(26, 90, 37, 101, 27, 91, 38, 102, 52, 116, 61, 125, 58, 122, 45, 109)(40, 104, 53, 117, 41, 105, 54, 118, 62, 126, 64, 128, 63, 127, 56, 120)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 144, 208)(136, 200, 146, 210)(139, 203, 149, 213)(140, 204, 150, 214)(141, 205, 151, 215)(142, 206, 152, 216)(143, 207, 159, 223)(145, 209, 161, 225)(147, 211, 163, 227)(148, 212, 164, 228)(153, 217, 167, 231)(154, 218, 168, 232)(155, 219, 169, 233)(156, 220, 170, 234)(157, 221, 171, 235)(158, 222, 175, 239)(160, 224, 177, 241)(162, 226, 179, 243)(165, 229, 181, 245)(166, 230, 182, 246)(172, 236, 183, 247)(173, 237, 184, 248)(174, 238, 185, 249)(176, 240, 187, 251)(178, 242, 188, 252)(180, 244, 190, 254)(186, 250, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 145)(7, 146)(8, 130)(9, 131)(10, 151)(11, 154)(12, 155)(13, 133)(14, 153)(15, 160)(16, 161)(17, 134)(18, 135)(19, 165)(20, 166)(21, 168)(22, 169)(23, 138)(24, 167)(25, 142)(26, 139)(27, 140)(28, 173)(29, 174)(30, 176)(31, 177)(32, 143)(33, 144)(34, 180)(35, 181)(36, 182)(37, 147)(38, 148)(39, 152)(40, 149)(41, 150)(42, 184)(43, 185)(44, 186)(45, 156)(46, 157)(47, 187)(48, 158)(49, 159)(50, 189)(51, 190)(52, 162)(53, 163)(54, 164)(55, 191)(56, 170)(57, 171)(58, 172)(59, 175)(60, 192)(61, 178)(62, 179)(63, 183)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1739
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, Y1^4, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 21, 85, 11, 75)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 18, 82, 22, 86, 9, 73)(14, 78, 28, 92, 37, 101, 29, 93)(15, 79, 26, 90, 16, 80, 27, 91)(17, 81, 24, 88, 19, 83, 25, 89)(20, 84, 23, 87, 38, 102, 34, 98)(30, 94, 45, 109, 52, 116, 44, 108)(31, 95, 42, 106, 32, 96, 43, 107)(33, 97, 40, 104, 35, 99, 41, 105)(36, 100, 50, 114, 53, 117, 39, 103)(46, 110, 54, 118, 62, 126, 59, 123)(47, 111, 57, 121, 48, 112, 58, 122)(49, 113, 55, 119, 51, 115, 56, 120)(60, 124, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 142, 206, 158, 222, 174, 238, 164, 228, 148, 212, 134, 198)(130, 194, 137, 201, 151, 215, 167, 231, 182, 246, 172, 236, 156, 220, 139, 203)(132, 196, 145, 209, 161, 225, 177, 241, 188, 252, 176, 240, 159, 223, 144, 208)(133, 197, 146, 210, 162, 226, 178, 242, 187, 251, 173, 237, 157, 221, 141, 205)(135, 199, 147, 211, 163, 227, 179, 243, 189, 253, 175, 239, 160, 224, 143, 207)(136, 200, 149, 213, 165, 229, 180, 244, 190, 254, 181, 245, 166, 230, 150, 214)(138, 202, 154, 218, 170, 234, 185, 249, 191, 255, 184, 248, 168, 232, 153, 217)(140, 204, 155, 219, 171, 235, 186, 250, 192, 256, 183, 247, 169, 233, 152, 216)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 147)(7, 129)(8, 135)(9, 152)(10, 133)(11, 155)(12, 130)(13, 154)(14, 159)(15, 149)(16, 131)(17, 134)(18, 153)(19, 150)(20, 161)(21, 144)(22, 145)(23, 168)(24, 146)(25, 137)(26, 139)(27, 141)(28, 170)(29, 171)(30, 175)(31, 165)(32, 142)(33, 166)(34, 169)(35, 148)(36, 179)(37, 160)(38, 163)(39, 183)(40, 162)(41, 151)(42, 157)(43, 156)(44, 186)(45, 185)(46, 188)(47, 180)(48, 158)(49, 164)(50, 184)(51, 181)(52, 176)(53, 177)(54, 191)(55, 178)(56, 167)(57, 172)(58, 173)(59, 192)(60, 190)(61, 174)(62, 189)(63, 187)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1738
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 97>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2)^4, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 26, 90)(11, 75, 29, 93)(13, 77, 33, 97)(14, 78, 22, 86)(16, 80, 35, 99)(18, 82, 37, 101)(19, 83, 40, 104)(21, 85, 44, 108)(24, 88, 46, 110)(25, 89, 36, 100)(27, 91, 49, 113)(28, 92, 45, 109)(30, 94, 51, 115)(31, 95, 52, 116)(32, 96, 54, 118)(34, 98, 39, 103)(38, 102, 58, 122)(41, 105, 60, 124)(42, 106, 61, 125)(43, 107, 63, 127)(47, 111, 56, 120)(48, 112, 57, 121)(50, 114, 59, 123)(53, 117, 62, 126)(55, 119, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 155, 219)(139, 203, 158, 222)(140, 204, 154, 218)(142, 206, 156, 220)(143, 207, 157, 221)(145, 209, 164, 228)(146, 210, 166, 230)(147, 211, 169, 233)(148, 212, 165, 229)(150, 214, 167, 231)(151, 215, 168, 232)(159, 223, 181, 245)(160, 224, 183, 247)(161, 225, 177, 241)(162, 226, 178, 242)(163, 227, 179, 243)(170, 234, 190, 254)(171, 235, 192, 256)(172, 236, 186, 250)(173, 237, 187, 251)(174, 238, 188, 252)(175, 239, 189, 253)(176, 240, 191, 255)(180, 244, 184, 248)(182, 246, 185, 249)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 149)(10, 156)(11, 131)(12, 159)(13, 162)(14, 133)(15, 160)(16, 145)(17, 141)(18, 167)(19, 134)(20, 170)(21, 173)(22, 136)(23, 171)(24, 137)(25, 166)(26, 175)(27, 178)(28, 139)(29, 176)(30, 164)(31, 143)(32, 140)(33, 181)(34, 144)(35, 183)(36, 155)(37, 184)(38, 187)(39, 147)(40, 185)(41, 153)(42, 151)(43, 148)(44, 190)(45, 152)(46, 192)(47, 157)(48, 154)(49, 189)(50, 158)(51, 191)(52, 188)(53, 163)(54, 186)(55, 161)(56, 168)(57, 165)(58, 180)(59, 169)(60, 182)(61, 179)(62, 174)(63, 177)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1749
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 97>)
Aut   = $<128, 1734>$ (small group id <128, 1734>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^4, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, (Y2^-2 * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 27, 91)(14, 78, 33, 97)(15, 79, 25, 89)(16, 80, 28, 92)(17, 81, 31, 95)(19, 83, 29, 93)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 32, 96)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 51, 115)(40, 104, 56, 120)(41, 105, 53, 117)(42, 106, 54, 118)(43, 107, 55, 119)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 187, 251, 174, 238, 188, 252)(184, 248, 190, 254, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 161)(12, 165)(13, 168)(14, 131)(15, 151)(16, 134)(17, 158)(18, 162)(19, 173)(20, 133)(21, 172)(22, 174)(23, 149)(24, 177)(25, 180)(26, 135)(27, 139)(28, 138)(29, 146)(30, 150)(31, 185)(32, 137)(33, 184)(34, 186)(35, 179)(36, 181)(37, 189)(38, 140)(39, 187)(40, 142)(41, 188)(42, 175)(43, 176)(44, 143)(45, 148)(46, 145)(47, 167)(48, 169)(49, 192)(50, 152)(51, 190)(52, 154)(53, 191)(54, 163)(55, 164)(56, 155)(57, 160)(58, 157)(59, 170)(60, 171)(61, 166)(62, 182)(63, 183)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1748
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 97>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^-2 * Y2^-1 * Y1, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * R * Y2 * Y1 * Y2^-1 * R * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 25, 89)(14, 78, 26, 90)(15, 79, 27, 91)(16, 80, 28, 92)(17, 81, 29, 93)(19, 83, 31, 95)(20, 84, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(45, 109, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 163, 227, 146, 210, 156, 220)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 151, 215, 174, 238, 158, 222)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 186, 250, 172, 236, 188, 252)(171, 235, 185, 249, 173, 237, 187, 251)(181, 245, 190, 254, 183, 247, 192, 256)(182, 246, 189, 253, 184, 248, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 154)(12, 164)(13, 151)(14, 131)(15, 170)(16, 134)(17, 172)(18, 160)(19, 158)(20, 133)(21, 171)(22, 173)(23, 142)(24, 175)(25, 139)(26, 135)(27, 181)(28, 138)(29, 183)(30, 148)(31, 146)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1747
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 97>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y1^-2 * Y3^-2 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-2, (Y2 * Y1^-2)^2, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 63, 127, 41, 105, 52, 116, 25, 89, 13, 77)(4, 68, 15, 79, 27, 91, 23, 87, 6, 70, 22, 86, 26, 90, 17, 81)(8, 72, 28, 92, 18, 82, 49, 113, 57, 121, 64, 128, 50, 114, 30, 94)(9, 73, 32, 96, 19, 83, 36, 100, 10, 74, 35, 99, 21, 85, 34, 98)(12, 76, 29, 93, 51, 115, 46, 110, 14, 78, 31, 95, 53, 117, 42, 106)(38, 102, 54, 118, 43, 107, 58, 122, 47, 111, 61, 125, 48, 112, 62, 126)(39, 103, 55, 119, 44, 108, 59, 123, 40, 104, 56, 120, 45, 109, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 168, 232)(144, 208, 169, 233)(145, 209, 173, 237)(147, 211, 174, 238)(148, 212, 165, 229)(149, 213, 170, 234)(150, 214, 167, 231)(151, 215, 172, 236)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 179, 243)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 184, 248)(161, 225, 185, 249)(162, 226, 188, 252)(163, 227, 183, 247)(164, 228, 187, 251)(175, 239, 180, 244)(176, 240, 191, 255)(177, 241, 190, 254)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 169)(13, 172)(14, 131)(15, 175)(16, 134)(17, 176)(18, 170)(19, 152)(20, 155)(21, 133)(22, 166)(23, 171)(24, 149)(25, 179)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 189)(33, 138)(34, 190)(35, 182)(36, 186)(37, 181)(38, 143)(39, 180)(40, 139)(41, 142)(42, 178)(43, 145)(44, 191)(45, 141)(46, 146)(47, 150)(48, 151)(49, 188)(50, 174)(51, 165)(52, 168)(53, 153)(54, 160)(55, 192)(56, 156)(57, 159)(58, 162)(59, 177)(60, 158)(61, 163)(62, 164)(63, 173)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1746
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 97>)
Aut   = $<128, 1734>$ (small group id <128, 1734>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-3 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 15, 79, 29, 93, 18, 82, 5, 69)(3, 67, 8, 72, 23, 87, 45, 109, 34, 98, 49, 113, 37, 101, 12, 76)(4, 68, 14, 78, 25, 89, 21, 85, 6, 70, 20, 84, 24, 88, 16, 80)(9, 73, 28, 92, 17, 81, 32, 96, 10, 74, 31, 95, 19, 83, 30, 94)(11, 75, 33, 97, 47, 111, 40, 104, 13, 77, 39, 103, 46, 110, 35, 99)(26, 90, 48, 112, 36, 100, 52, 116, 27, 91, 51, 115, 38, 102, 50, 114)(41, 105, 53, 117, 43, 107, 55, 119, 42, 106, 54, 118, 44, 108, 56, 120)(57, 121, 61, 125, 59, 123, 63, 127, 58, 122, 62, 126, 60, 124, 64, 128)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 167, 231)(143, 207, 162, 226)(144, 208, 168, 232)(145, 209, 166, 230)(146, 210, 165, 229)(147, 211, 164, 228)(148, 212, 161, 225)(149, 213, 163, 227)(150, 214, 173, 237)(152, 216, 175, 239)(153, 217, 174, 238)(156, 220, 179, 243)(157, 221, 177, 241)(158, 222, 180, 244)(159, 223, 176, 240)(160, 224, 178, 242)(169, 233, 185, 249)(170, 234, 186, 250)(171, 235, 187, 251)(172, 236, 188, 252)(181, 245, 189, 253)(182, 246, 190, 254)(183, 247, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 139)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 164)(13, 131)(14, 169)(15, 134)(16, 171)(17, 150)(18, 153)(19, 133)(20, 170)(21, 172)(22, 147)(23, 174)(24, 146)(25, 135)(26, 177)(27, 136)(28, 181)(29, 138)(30, 183)(31, 182)(32, 184)(33, 185)(34, 141)(35, 187)(36, 173)(37, 175)(38, 140)(39, 186)(40, 188)(41, 148)(42, 142)(43, 149)(44, 144)(45, 166)(46, 165)(47, 151)(48, 189)(49, 155)(50, 191)(51, 190)(52, 192)(53, 159)(54, 156)(55, 160)(56, 158)(57, 167)(58, 161)(59, 168)(60, 163)(61, 179)(62, 176)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1745
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 97>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, Y3^4, Y1^4, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1 * Y2 * Y1^2 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, (Y2^-1 * Y1^-1 * R)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 24, 88, 30, 94, 26, 90)(7, 71, 22, 86, 31, 95, 10, 74)(9, 73, 32, 96, 21, 85, 35, 99)(11, 75, 39, 103, 23, 87, 41, 105)(14, 78, 42, 106, 54, 118, 45, 109)(15, 79, 47, 111, 55, 119, 40, 104)(17, 81, 49, 113, 56, 120, 37, 101)(19, 83, 51, 115, 57, 121, 36, 100)(20, 84, 38, 102, 58, 122, 48, 112)(25, 89, 50, 114, 59, 123, 34, 98)(27, 91, 33, 97, 60, 124, 43, 107)(44, 108, 61, 125, 53, 117, 64, 128)(46, 110, 62, 126, 52, 116, 63, 127)(129, 193, 131, 195, 142, 206, 160, 224, 186, 250, 167, 231, 155, 219, 134, 198)(130, 194, 137, 201, 161, 225, 144, 208, 176, 240, 154, 218, 170, 234, 139, 203)(132, 196, 147, 211, 180, 244, 183, 247, 159, 223, 187, 251, 172, 236, 145, 209)(133, 197, 149, 213, 171, 235, 141, 205, 166, 230, 152, 216, 173, 237, 151, 215)(135, 199, 153, 217, 181, 245, 184, 248, 157, 221, 185, 249, 174, 238, 143, 207)(136, 200, 156, 220, 182, 246, 163, 227, 148, 212, 169, 233, 188, 252, 158, 222)(138, 202, 165, 229, 191, 255, 178, 242, 146, 210, 175, 239, 189, 253, 164, 228)(140, 204, 168, 232, 192, 256, 179, 243, 150, 214, 177, 241, 190, 254, 162, 226)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 157)(9, 162)(10, 166)(11, 168)(12, 130)(13, 165)(14, 172)(15, 169)(16, 177)(17, 131)(18, 133)(19, 134)(20, 135)(21, 178)(22, 176)(23, 175)(24, 164)(25, 163)(26, 179)(27, 180)(28, 183)(29, 186)(30, 187)(31, 136)(32, 185)(33, 189)(34, 152)(35, 147)(36, 137)(37, 139)(38, 140)(39, 184)(40, 141)(41, 145)(42, 191)(43, 192)(44, 188)(45, 190)(46, 142)(47, 144)(48, 146)(49, 151)(50, 154)(51, 149)(52, 182)(53, 155)(54, 181)(55, 167)(56, 156)(57, 158)(58, 159)(59, 160)(60, 174)(61, 173)(62, 161)(63, 171)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1744
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y2 * Y1)^4, Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 43, 107)(27, 91, 32, 96)(28, 92, 50, 114)(29, 93, 51, 115)(30, 94, 33, 97)(35, 99, 54, 118)(38, 102, 61, 125)(39, 103, 62, 126)(41, 105, 55, 119)(42, 106, 58, 122)(44, 108, 52, 116)(45, 109, 56, 120)(46, 110, 57, 121)(47, 111, 53, 117)(48, 112, 59, 123)(49, 113, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 176, 240)(157, 221, 177, 241)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(171, 235, 191, 255)(173, 237, 189, 253)(174, 238, 190, 254)(178, 242, 184, 248)(179, 243, 185, 249)(182, 246, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 191)(42, 149)(43, 151)(44, 189)(45, 154)(46, 152)(47, 190)(48, 158)(49, 155)(50, 186)(51, 183)(52, 192)(53, 159)(54, 161)(55, 178)(56, 164)(57, 162)(58, 179)(59, 168)(60, 165)(61, 175)(62, 172)(63, 170)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1755
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 51, 115)(40, 104, 56, 120)(41, 105, 53, 117)(42, 106, 54, 118)(43, 107, 55, 119)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 187, 251, 174, 238, 188, 252)(184, 248, 190, 254, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 157)(19, 173)(20, 133)(21, 151)(22, 158)(23, 143)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 145)(31, 185)(32, 137)(33, 139)(34, 146)(35, 182)(36, 183)(37, 189)(38, 140)(39, 175)(40, 142)(41, 176)(42, 187)(43, 188)(44, 149)(45, 148)(46, 150)(47, 170)(48, 171)(49, 192)(50, 152)(51, 163)(52, 154)(53, 164)(54, 190)(55, 191)(56, 161)(57, 160)(58, 162)(59, 167)(60, 169)(61, 166)(62, 179)(63, 181)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1754
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 29, 93)(15, 79, 25, 89)(16, 80, 30, 94)(17, 81, 28, 92)(18, 82, 27, 91)(19, 83, 24, 88)(20, 84, 26, 90)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 46, 110)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 54, 118)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 185, 249, 169, 233, 187, 251)(167, 231, 184, 248, 170, 234, 186, 250)(178, 242, 190, 254, 181, 245, 192, 256)(179, 243, 189, 253, 182, 246, 191, 255)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1753
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^4, (R * Y3)^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-3, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y1^-1 * Y2 * Y1^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 63, 127, 41, 105, 52, 116, 25, 89, 13, 77)(4, 68, 15, 79, 27, 91, 23, 87, 6, 70, 22, 86, 26, 90, 17, 81)(8, 72, 28, 92, 18, 82, 49, 113, 57, 121, 64, 128, 50, 114, 30, 94)(9, 73, 32, 96, 19, 83, 36, 100, 10, 74, 35, 99, 21, 85, 34, 98)(12, 76, 31, 95, 51, 115, 46, 110, 14, 78, 29, 93, 53, 117, 42, 106)(38, 102, 54, 118, 43, 107, 58, 122, 47, 111, 61, 125, 48, 112, 62, 126)(39, 103, 56, 120, 44, 108, 60, 124, 40, 104, 55, 119, 45, 109, 59, 123)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 167, 231)(144, 208, 169, 233)(145, 209, 172, 236)(147, 211, 170, 234)(148, 212, 165, 229)(149, 213, 174, 238)(150, 214, 168, 232)(151, 215, 173, 237)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 179, 243)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 183, 247)(161, 225, 185, 249)(162, 226, 187, 251)(163, 227, 184, 248)(164, 228, 188, 252)(175, 239, 180, 244)(176, 240, 191, 255)(177, 241, 190, 254)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 169)(13, 172)(14, 131)(15, 166)(16, 134)(17, 171)(18, 174)(19, 152)(20, 155)(21, 133)(22, 175)(23, 176)(24, 149)(25, 179)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 182)(33, 138)(34, 186)(35, 189)(36, 190)(37, 181)(38, 150)(39, 180)(40, 139)(41, 142)(42, 146)(43, 151)(44, 191)(45, 141)(46, 178)(47, 143)(48, 145)(49, 188)(50, 170)(51, 165)(52, 168)(53, 153)(54, 163)(55, 192)(56, 156)(57, 159)(58, 164)(59, 177)(60, 158)(61, 160)(62, 162)(63, 173)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1752
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^4, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-3, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1, (Y1^-1 * R * Y2)^2, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 18, 82, 30, 94, 8, 72, 28, 92, 13, 77)(4, 68, 15, 79, 27, 91, 23, 87, 6, 70, 22, 86, 26, 90, 17, 81)(9, 73, 32, 96, 19, 83, 36, 100, 10, 74, 35, 99, 21, 85, 34, 98)(12, 76, 37, 101, 48, 112, 42, 106, 14, 78, 41, 105, 47, 111, 38, 102)(29, 93, 49, 113, 40, 104, 52, 116, 31, 95, 51, 115, 39, 103, 50, 114)(43, 107, 53, 117, 45, 109, 55, 119, 44, 108, 54, 118, 46, 110, 56, 120)(57, 121, 62, 126, 59, 123, 64, 128, 58, 122, 61, 125, 60, 124, 63, 127)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 161, 225)(141, 205, 152, 216)(143, 207, 165, 229)(144, 208, 158, 222)(145, 209, 166, 230)(147, 211, 167, 231)(148, 212, 156, 220)(149, 213, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(154, 218, 176, 240)(155, 219, 175, 239)(160, 224, 177, 241)(162, 226, 178, 242)(163, 227, 179, 243)(164, 228, 180, 244)(171, 235, 186, 250)(172, 236, 185, 249)(173, 237, 188, 252)(174, 238, 187, 251)(181, 245, 190, 254)(182, 246, 189, 253)(183, 247, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 159)(12, 158)(13, 167)(14, 131)(15, 171)(16, 134)(17, 173)(18, 168)(19, 152)(20, 155)(21, 133)(22, 172)(23, 174)(24, 149)(25, 175)(26, 148)(27, 135)(28, 176)(29, 139)(30, 142)(31, 136)(32, 181)(33, 138)(34, 183)(35, 182)(36, 184)(37, 185)(38, 187)(39, 146)(40, 141)(41, 186)(42, 188)(43, 150)(44, 143)(45, 151)(46, 145)(47, 156)(48, 153)(49, 189)(50, 191)(51, 190)(52, 192)(53, 163)(54, 160)(55, 164)(56, 162)(57, 169)(58, 165)(59, 170)(60, 166)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1751
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^2 * Y1^2, Y3^2 * Y1^-2, (Y3^-1, Y1^-1), (Y3^-1 * Y2^-1)^2, Y3^4, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1 * Y2^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 36, 100, 49, 113, 42, 106)(15, 79, 38, 102, 17, 81, 40, 104)(18, 82, 45, 109, 22, 86, 47, 111)(24, 88, 28, 92, 50, 114, 39, 103)(29, 93, 52, 116, 31, 95, 53, 117)(32, 96, 57, 121, 34, 98, 59, 123)(37, 101, 51, 115, 44, 108, 56, 120)(41, 105, 58, 122, 43, 107, 60, 124)(46, 110, 54, 118, 48, 112, 55, 119)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 142, 206, 155, 219, 179, 243, 161, 225, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 144, 208, 172, 236, 151, 215, 164, 228, 139, 203)(132, 196, 146, 210, 174, 238, 185, 249, 191, 255, 181, 245, 169, 233, 145, 209)(133, 197, 147, 211, 167, 231, 141, 205, 165, 229, 149, 213, 170, 234, 148, 212)(135, 199, 150, 214, 176, 240, 187, 251, 192, 256, 180, 244, 171, 235, 143, 207)(136, 200, 153, 217, 177, 241, 158, 222, 184, 248, 163, 227, 178, 242, 154, 218)(138, 202, 160, 224, 186, 250, 175, 239, 190, 254, 166, 230, 182, 246, 159, 223)(140, 204, 162, 226, 188, 252, 173, 237, 189, 253, 168, 232, 183, 247, 157, 221)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 169)(15, 153)(16, 168)(17, 131)(18, 134)(19, 159)(20, 160)(21, 175)(22, 154)(23, 173)(24, 174)(25, 145)(26, 146)(27, 180)(28, 182)(29, 147)(30, 181)(31, 137)(32, 139)(33, 187)(34, 148)(35, 185)(36, 186)(37, 189)(38, 144)(39, 183)(40, 141)(41, 177)(42, 188)(43, 142)(44, 190)(45, 149)(46, 178)(47, 151)(48, 152)(49, 171)(50, 176)(51, 191)(52, 158)(53, 155)(54, 167)(55, 156)(56, 192)(57, 161)(58, 170)(59, 163)(60, 164)(61, 172)(62, 165)(63, 184)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1750
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 14, 78)(7, 71, 18, 82)(8, 72, 21, 85)(9, 73, 23, 87)(10, 74, 26, 90)(12, 76, 28, 92)(13, 77, 20, 84)(15, 79, 33, 97)(16, 80, 34, 98)(17, 81, 37, 101)(19, 83, 39, 103)(22, 86, 44, 108)(24, 88, 45, 109)(25, 89, 36, 100)(27, 91, 50, 114)(29, 93, 53, 117)(30, 94, 54, 118)(31, 95, 42, 106)(32, 96, 43, 107)(35, 99, 55, 119)(38, 102, 60, 124)(40, 104, 63, 127)(41, 105, 64, 128)(46, 110, 61, 125)(47, 111, 62, 126)(48, 112, 58, 122)(49, 113, 59, 123)(51, 115, 56, 120)(52, 116, 57, 121)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 143, 207)(135, 199, 147, 211)(136, 200, 150, 214)(137, 201, 152, 216)(138, 202, 155, 219)(139, 203, 156, 220)(141, 205, 153, 217)(142, 206, 161, 225)(144, 208, 163, 227)(145, 209, 166, 230)(146, 210, 167, 231)(148, 212, 164, 228)(149, 213, 172, 236)(151, 215, 173, 237)(154, 218, 178, 242)(157, 221, 174, 238)(158, 222, 175, 239)(159, 223, 176, 240)(160, 224, 177, 241)(162, 226, 183, 247)(165, 229, 188, 252)(168, 232, 184, 248)(169, 233, 185, 249)(170, 234, 186, 250)(171, 235, 187, 251)(179, 243, 191, 255)(180, 244, 192, 256)(181, 245, 189, 253)(182, 246, 190, 254)
	L = (1, 132)(2, 135)(3, 137)(4, 141)(5, 129)(6, 144)(7, 148)(8, 130)(9, 153)(10, 131)(11, 157)(12, 159)(13, 133)(14, 158)(15, 160)(16, 164)(17, 134)(18, 168)(19, 170)(20, 136)(21, 169)(22, 171)(23, 174)(24, 176)(25, 138)(26, 175)(27, 177)(28, 179)(29, 142)(30, 139)(31, 143)(32, 140)(33, 180)(34, 184)(35, 186)(36, 145)(37, 185)(38, 187)(39, 189)(40, 149)(41, 146)(42, 150)(43, 147)(44, 190)(45, 191)(46, 154)(47, 151)(48, 155)(49, 152)(50, 192)(51, 161)(52, 156)(53, 188)(54, 183)(55, 181)(56, 165)(57, 162)(58, 166)(59, 163)(60, 182)(61, 172)(62, 167)(63, 178)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1761
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3 * Y2^-2)^2, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 45, 109)(25, 89, 48, 112)(26, 90, 37, 101)(27, 91, 49, 113)(28, 92, 50, 114)(30, 94, 51, 115)(32, 96, 52, 116)(34, 98, 53, 117)(36, 100, 56, 120)(38, 102, 57, 121)(39, 103, 58, 122)(41, 105, 59, 123)(43, 107, 60, 124)(46, 110, 54, 118)(47, 111, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 177, 241, 159, 223, 178, 242)(158, 222, 173, 237, 160, 224, 176, 240)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 185, 249, 170, 234, 186, 250)(169, 233, 181, 245, 171, 235, 184, 248)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 166)(24, 137)(25, 167)(26, 138)(27, 162)(28, 164)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 155)(35, 144)(36, 156)(37, 145)(38, 151)(39, 153)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 185)(46, 189)(47, 190)(48, 186)(49, 181)(50, 184)(51, 157)(52, 159)(53, 177)(54, 191)(55, 192)(56, 178)(57, 173)(58, 176)(59, 168)(60, 170)(61, 174)(62, 175)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1760
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y3 * Y2 * Y1)^2, (R * Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1)^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 34, 98)(25, 89, 36, 100)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 54, 118)(41, 105, 61, 125)(43, 107, 64, 128)(45, 109, 55, 119)(46, 110, 56, 120)(47, 111, 57, 121)(48, 112, 58, 122)(49, 113, 59, 123)(50, 114, 60, 124)(52, 116, 62, 126)(53, 117, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 159, 223, 176, 240)(158, 222, 180, 244, 160, 224, 181, 245)(163, 227, 184, 248, 172, 236, 185, 249)(168, 232, 183, 247, 170, 234, 186, 250)(169, 233, 190, 254, 171, 235, 191, 255)(177, 241, 192, 256, 178, 242, 189, 253)(179, 243, 187, 251, 182, 246, 188, 252)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 182)(32, 141)(33, 142)(34, 183)(35, 144)(36, 186)(37, 145)(38, 187)(39, 188)(40, 189)(41, 147)(42, 192)(43, 148)(44, 149)(45, 151)(46, 190)(47, 191)(48, 153)(49, 155)(50, 156)(51, 157)(52, 184)(53, 185)(54, 159)(55, 162)(56, 180)(57, 181)(58, 164)(59, 166)(60, 167)(61, 168)(62, 174)(63, 175)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1759
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-2 * Y2)^2, (Y1^2 * Y3)^2, (Y2 * Y1^-1)^4, Y1^-2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 40, 104, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 57, 121, 61, 125, 45, 109, 18, 82, 11, 75)(4, 68, 12, 76, 32, 96, 60, 124, 62, 126, 46, 110, 19, 83, 13, 77)(7, 71, 20, 84, 14, 78, 37, 101, 59, 123, 63, 127, 42, 106, 22, 86)(8, 72, 23, 87, 15, 79, 39, 103, 58, 122, 64, 128, 43, 107, 24, 88)(10, 74, 28, 92, 44, 108, 38, 102, 50, 114, 21, 85, 49, 113, 29, 93)(26, 90, 47, 111, 30, 94, 51, 115, 34, 98, 54, 118, 36, 100, 56, 120)(27, 91, 53, 117, 31, 95, 55, 119, 33, 97, 48, 112, 35, 99, 52, 116)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 158, 222)(140, 204, 161, 225)(141, 205, 163, 227)(143, 207, 166, 230)(144, 208, 153, 217)(145, 209, 170, 234)(147, 211, 172, 236)(148, 212, 175, 239)(150, 214, 179, 243)(151, 215, 181, 245)(152, 216, 183, 247)(155, 219, 174, 238)(156, 220, 186, 250)(157, 221, 171, 235)(159, 223, 188, 252)(160, 224, 177, 241)(162, 226, 173, 237)(164, 228, 185, 249)(165, 229, 184, 248)(167, 231, 180, 244)(168, 232, 187, 251)(169, 233, 189, 253)(176, 240, 192, 256)(178, 242, 190, 254)(182, 246, 191, 255)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 159)(12, 162)(13, 164)(14, 166)(15, 133)(16, 160)(17, 171)(18, 172)(19, 134)(20, 176)(21, 135)(22, 180)(23, 182)(24, 184)(25, 177)(26, 174)(27, 137)(28, 187)(29, 170)(30, 188)(31, 139)(32, 144)(33, 173)(34, 140)(35, 185)(36, 141)(37, 183)(38, 142)(39, 179)(40, 186)(41, 190)(42, 157)(43, 145)(44, 146)(45, 161)(46, 154)(47, 192)(48, 148)(49, 153)(50, 189)(51, 167)(52, 150)(53, 191)(54, 151)(55, 165)(56, 152)(57, 163)(58, 168)(59, 156)(60, 158)(61, 178)(62, 169)(63, 181)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1758
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2 * Y1^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^2 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3)^4, (Y2 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 25, 89, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 14, 78, 22, 86, 7, 71, 20, 84, 11, 75)(4, 68, 12, 76, 30, 94, 51, 115, 56, 120, 40, 104, 19, 83, 13, 77)(8, 72, 23, 87, 15, 79, 36, 100, 49, 113, 57, 121, 38, 102, 24, 88)(10, 74, 27, 91, 41, 105, 33, 97, 44, 108, 31, 95, 39, 103, 28, 92)(21, 85, 42, 106, 35, 99, 47, 111, 26, 90, 45, 109, 29, 93, 43, 107)(32, 96, 46, 110, 34, 98, 48, 112, 58, 122, 64, 128, 63, 127, 54, 118)(50, 114, 61, 125, 52, 116, 62, 126, 53, 117, 59, 123, 55, 119, 60, 124)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 145, 209)(140, 204, 159, 223)(141, 205, 161, 225)(143, 207, 163, 227)(144, 208, 148, 212)(147, 211, 167, 231)(150, 214, 165, 229)(151, 215, 173, 237)(152, 216, 175, 239)(154, 218, 177, 241)(155, 219, 168, 232)(156, 220, 179, 243)(157, 221, 166, 230)(158, 222, 169, 233)(160, 224, 181, 245)(162, 226, 183, 247)(164, 228, 171, 235)(170, 234, 185, 249)(172, 236, 184, 248)(174, 238, 189, 253)(176, 240, 190, 254)(178, 242, 186, 250)(180, 244, 191, 255)(182, 246, 188, 252)(187, 251, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 160)(13, 162)(14, 163)(15, 133)(16, 158)(17, 166)(18, 167)(19, 134)(20, 169)(21, 135)(22, 172)(23, 174)(24, 176)(25, 177)(26, 137)(27, 178)(28, 180)(29, 139)(30, 144)(31, 181)(32, 140)(33, 183)(34, 141)(35, 142)(36, 182)(37, 184)(38, 145)(39, 146)(40, 186)(41, 148)(42, 187)(43, 188)(44, 150)(45, 189)(46, 151)(47, 190)(48, 152)(49, 153)(50, 155)(51, 191)(52, 156)(53, 159)(54, 164)(55, 161)(56, 165)(57, 192)(58, 168)(59, 170)(60, 171)(61, 173)(62, 175)(63, 179)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1757
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y3^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-3 * Y3^-1 * Y1^-1 * Y3 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 24, 88, 11, 75)(4, 68, 17, 81, 25, 89, 12, 76)(6, 70, 20, 84, 26, 90, 9, 73)(7, 71, 21, 85, 27, 91, 10, 74)(14, 78, 34, 98, 50, 114, 36, 100)(15, 79, 31, 95, 51, 115, 37, 101)(16, 80, 33, 97, 52, 116, 35, 99)(18, 82, 29, 93, 53, 117, 42, 106)(19, 83, 32, 96, 54, 118, 43, 107)(22, 86, 30, 94, 55, 119, 47, 111)(23, 87, 28, 92, 56, 120, 46, 110)(38, 102, 60, 124, 45, 109, 64, 128)(39, 103, 58, 122, 48, 112, 63, 127)(40, 104, 59, 123, 44, 108, 61, 125)(41, 105, 57, 121, 49, 113, 62, 126)(129, 193, 131, 195, 142, 206, 166, 230, 182, 246, 177, 241, 151, 215, 134, 198)(130, 194, 137, 201, 156, 220, 185, 249, 171, 235, 192, 256, 162, 226, 139, 203)(132, 196, 146, 210, 172, 236, 179, 243, 155, 219, 183, 247, 167, 231, 144, 208)(133, 197, 148, 212, 174, 238, 190, 254, 160, 224, 188, 252, 164, 228, 141, 205)(135, 199, 150, 214, 176, 240, 180, 244, 153, 217, 181, 245, 168, 232, 143, 207)(136, 200, 152, 216, 178, 242, 173, 237, 147, 211, 169, 233, 184, 248, 154, 218)(138, 202, 159, 223, 189, 253, 170, 234, 145, 209, 163, 227, 186, 250, 158, 222)(140, 204, 161, 225, 191, 255, 175, 239, 149, 213, 165, 229, 187, 251, 157, 221)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 149)(6, 150)(7, 129)(8, 153)(9, 157)(10, 160)(11, 161)(12, 130)(13, 163)(14, 167)(15, 169)(16, 131)(17, 133)(18, 134)(19, 135)(20, 170)(21, 171)(22, 173)(23, 172)(24, 179)(25, 182)(26, 183)(27, 136)(28, 186)(29, 188)(30, 137)(31, 139)(32, 140)(33, 190)(34, 189)(35, 185)(36, 187)(37, 141)(38, 181)(39, 184)(40, 142)(41, 144)(42, 192)(43, 145)(44, 178)(45, 146)(46, 191)(47, 148)(48, 151)(49, 180)(50, 176)(51, 177)(52, 152)(53, 154)(54, 155)(55, 166)(56, 168)(57, 165)(58, 164)(59, 156)(60, 158)(61, 174)(62, 159)(63, 162)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1756
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3^-2 * Y1 * Y3^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 30, 94)(16, 80, 37, 101)(17, 81, 39, 103)(19, 83, 43, 107)(21, 85, 34, 98)(22, 86, 40, 104)(23, 87, 44, 108)(25, 89, 38, 102)(27, 91, 35, 99)(28, 92, 41, 105)(29, 93, 45, 109)(31, 95, 36, 100)(32, 96, 42, 106)(33, 97, 46, 110)(47, 111, 59, 123)(48, 112, 62, 126)(49, 113, 58, 122)(50, 114, 56, 120)(51, 115, 64, 128)(52, 116, 61, 125)(53, 117, 57, 121)(54, 118, 63, 127)(55, 119, 60, 124)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 159, 223)(143, 207, 162, 226)(146, 210, 168, 232)(147, 211, 166, 230)(148, 212, 172, 236)(150, 214, 175, 239)(151, 215, 176, 240)(152, 216, 178, 242)(154, 218, 181, 245)(156, 220, 183, 247)(157, 221, 182, 246)(158, 222, 177, 241)(160, 224, 180, 244)(161, 225, 179, 243)(163, 227, 184, 248)(164, 228, 185, 249)(165, 229, 187, 251)(167, 231, 190, 254)(169, 233, 192, 256)(170, 234, 191, 255)(171, 235, 186, 250)(173, 237, 189, 253)(174, 238, 188, 252)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 160)(15, 163)(16, 166)(17, 134)(18, 169)(19, 136)(20, 173)(21, 175)(22, 177)(23, 137)(24, 179)(25, 139)(26, 182)(27, 183)(28, 181)(29, 140)(30, 176)(31, 180)(32, 178)(33, 142)(34, 184)(35, 186)(36, 143)(37, 188)(38, 145)(39, 191)(40, 192)(41, 190)(42, 146)(43, 185)(44, 189)(45, 187)(46, 148)(47, 158)(48, 149)(49, 151)(50, 161)(51, 159)(52, 152)(53, 157)(54, 155)(55, 154)(56, 171)(57, 162)(58, 164)(59, 174)(60, 172)(61, 165)(62, 170)(63, 168)(64, 167)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1773
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 13, 77)(7, 71, 16, 80)(8, 72, 18, 82)(9, 73, 19, 83)(10, 74, 21, 85)(12, 76, 24, 88)(14, 78, 27, 91)(15, 79, 29, 93)(17, 81, 32, 96)(20, 84, 37, 101)(22, 86, 30, 94)(23, 87, 33, 97)(25, 89, 31, 95)(26, 90, 34, 98)(28, 92, 46, 110)(35, 99, 44, 108)(36, 100, 47, 111)(38, 102, 45, 109)(39, 103, 48, 112)(40, 104, 50, 114)(41, 105, 49, 113)(42, 106, 52, 116)(43, 107, 51, 115)(53, 117, 59, 123)(54, 118, 58, 122)(55, 119, 61, 125)(56, 120, 60, 124)(57, 121, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 137, 201)(133, 197, 138, 202)(135, 199, 142, 206)(136, 200, 143, 207)(139, 203, 147, 211)(140, 204, 148, 212)(141, 205, 149, 213)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 157, 221)(150, 214, 163, 227)(151, 215, 164, 228)(152, 216, 165, 229)(153, 217, 166, 230)(154, 218, 167, 231)(158, 222, 172, 236)(159, 223, 173, 237)(160, 224, 174, 238)(161, 225, 175, 239)(162, 226, 176, 240)(168, 232, 181, 245)(169, 233, 182, 246)(170, 234, 183, 247)(171, 235, 184, 248)(177, 241, 186, 250)(178, 242, 187, 251)(179, 243, 188, 252)(180, 244, 189, 253)(185, 249, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 140)(5, 129)(6, 142)(7, 145)(8, 130)(9, 148)(10, 131)(11, 150)(12, 133)(13, 153)(14, 156)(15, 134)(16, 158)(17, 136)(18, 161)(19, 163)(20, 138)(21, 166)(22, 168)(23, 139)(24, 169)(25, 171)(26, 141)(27, 172)(28, 143)(29, 175)(30, 177)(31, 144)(32, 178)(33, 180)(34, 146)(35, 181)(36, 147)(37, 182)(38, 184)(39, 149)(40, 151)(41, 185)(42, 152)(43, 154)(44, 186)(45, 155)(46, 187)(47, 189)(48, 157)(49, 159)(50, 190)(51, 160)(52, 162)(53, 164)(54, 191)(55, 165)(56, 167)(57, 170)(58, 173)(59, 192)(60, 174)(61, 176)(62, 179)(63, 183)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1772
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2^2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(24, 88, 52, 116)(35, 99, 50, 114)(36, 100, 63, 127)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 60, 124)(42, 106, 57, 121)(43, 107, 55, 119)(44, 108, 59, 123)(45, 109, 56, 120)(46, 110, 62, 126)(47, 111, 61, 125)(48, 112, 51, 115)(49, 113, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 166)(13, 169)(14, 131)(15, 173)(16, 134)(17, 175)(18, 157)(19, 174)(20, 133)(21, 151)(22, 158)(23, 143)(24, 181)(25, 184)(26, 135)(27, 188)(28, 138)(29, 190)(30, 145)(31, 189)(32, 137)(33, 139)(34, 146)(35, 183)(36, 187)(37, 182)(38, 180)(39, 140)(40, 192)(41, 142)(42, 179)(43, 178)(44, 191)(45, 149)(46, 148)(47, 150)(48, 185)(49, 186)(50, 168)(51, 172)(52, 167)(53, 165)(54, 152)(55, 177)(56, 154)(57, 164)(58, 163)(59, 176)(60, 161)(61, 160)(62, 162)(63, 170)(64, 171)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1770
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1, (Y2^-2 * Y1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 36, 100)(23, 87, 34, 98)(24, 88, 41, 105)(26, 90, 40, 104)(27, 91, 38, 102)(28, 92, 43, 107)(29, 93, 37, 101)(30, 94, 35, 99)(31, 95, 42, 106)(32, 96, 39, 103)(33, 97, 44, 108)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 59, 123)(48, 112, 58, 122)(49, 113, 60, 124)(50, 114, 56, 120)(51, 115, 55, 119)(52, 116, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 154)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 165)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 166)(24, 171)(25, 168)(26, 138)(27, 162)(28, 169)(29, 164)(30, 167)(31, 172)(32, 163)(33, 170)(34, 155)(35, 160)(36, 157)(37, 145)(38, 151)(39, 158)(40, 153)(41, 156)(42, 161)(43, 152)(44, 159)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 176)(54, 178)(55, 180)(56, 173)(57, 179)(58, 174)(59, 177)(60, 175)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1771
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1750>$ (small group id <128, 1750>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y3^-1 * Y2)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 29, 93)(15, 79, 25, 89)(16, 80, 30, 94)(17, 81, 28, 92)(18, 82, 27, 91)(19, 83, 24, 88)(20, 84, 26, 90)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 46, 110)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 54, 118)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 160, 224, 144, 208)(134, 198, 147, 211, 159, 223, 148, 212)(136, 200, 152, 216, 172, 236, 154, 218)(138, 202, 157, 221, 171, 235, 158, 222)(140, 204, 161, 225, 146, 210, 163, 227)(141, 205, 164, 228, 145, 209, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 156, 220, 175, 239)(151, 215, 176, 240, 155, 219, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 184, 248, 170, 234, 187, 251)(167, 231, 185, 249, 169, 233, 186, 250)(178, 242, 189, 253, 182, 246, 192, 256)(179, 243, 190, 254, 181, 245, 191, 255)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1769
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 27, 91)(20, 84, 28, 92)(21, 85, 29, 93)(22, 86, 30, 94)(23, 87, 31, 95)(24, 88, 32, 96)(25, 89, 33, 97)(26, 90, 34, 98)(35, 99, 44, 108)(36, 100, 45, 109)(37, 101, 46, 110)(38, 102, 47, 111)(39, 103, 48, 112)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 51, 115)(43, 107, 52, 116)(53, 117, 58, 122)(54, 118, 59, 123)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 171, 235, 154, 218)(143, 207, 156, 220, 174, 238, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 166, 230, 182, 246, 169, 233)(152, 216, 167, 231, 183, 247, 170, 234)(155, 219, 172, 236, 186, 250, 173, 237)(159, 223, 175, 239, 187, 251, 178, 242)(160, 224, 176, 240, 188, 252, 179, 243)(168, 232, 184, 248, 191, 255, 185, 249)(177, 241, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 169)(26, 170)(27, 142)(28, 175)(29, 176)(30, 177)(31, 144)(32, 145)(33, 178)(34, 179)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 153)(42, 154)(43, 185)(44, 187)(45, 188)(46, 189)(47, 156)(48, 157)(49, 158)(50, 161)(51, 162)(52, 190)(53, 191)(54, 163)(55, 164)(56, 165)(57, 171)(58, 192)(59, 172)(60, 173)(61, 174)(62, 180)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1768
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^4, Y1^8, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 38, 102, 54, 118, 50, 114, 30, 94, 11, 75)(4, 68, 12, 76, 19, 83, 40, 104, 55, 119, 51, 115, 31, 95, 13, 77)(7, 71, 20, 84, 36, 100, 56, 120, 52, 116, 32, 96, 14, 78, 22, 86)(8, 72, 23, 87, 37, 101, 58, 122, 53, 117, 33, 97, 15, 79, 24, 88)(10, 74, 21, 85, 39, 103, 57, 121, 64, 128, 63, 127, 49, 113, 27, 91)(25, 89, 45, 109, 59, 123, 43, 107, 61, 125, 41, 105, 28, 92, 46, 110)(26, 90, 47, 111, 60, 124, 44, 108, 62, 126, 42, 106, 29, 93, 48, 112)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 156, 220)(140, 204, 154, 218)(141, 205, 157, 221)(143, 207, 155, 219)(144, 208, 158, 222)(145, 209, 164, 228)(147, 211, 167, 231)(148, 212, 169, 233)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(159, 223, 177, 241)(160, 224, 173, 237)(161, 225, 175, 239)(162, 226, 180, 244)(163, 227, 182, 246)(165, 229, 185, 249)(166, 230, 187, 251)(168, 232, 188, 252)(174, 238, 184, 248)(176, 240, 186, 250)(178, 242, 189, 253)(179, 243, 190, 254)(181, 245, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 153)(13, 156)(14, 155)(15, 133)(16, 159)(17, 165)(18, 167)(19, 134)(20, 170)(21, 135)(22, 172)(23, 169)(24, 171)(25, 140)(26, 137)(27, 142)(28, 141)(29, 139)(30, 177)(31, 144)(32, 175)(33, 173)(34, 181)(35, 183)(36, 185)(37, 145)(38, 188)(39, 146)(40, 187)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 186)(47, 160)(48, 184)(49, 158)(50, 190)(51, 189)(52, 191)(53, 162)(54, 192)(55, 163)(56, 176)(57, 164)(58, 174)(59, 168)(60, 166)(61, 179)(62, 178)(63, 180)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1767
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1750>$ (small group id <128, 1750>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 51, 115, 40, 104, 63, 127, 44, 108, 13, 77)(4, 68, 15, 79, 26, 90, 23, 87, 6, 70, 22, 86, 27, 91, 17, 81)(8, 72, 28, 92, 50, 114, 64, 128, 57, 121, 49, 113, 18, 82, 30, 94)(9, 73, 32, 96, 21, 85, 36, 100, 10, 74, 35, 99, 19, 83, 34, 98)(12, 76, 31, 95, 52, 116, 46, 110, 14, 78, 29, 93, 53, 117, 41, 105)(37, 101, 61, 125, 48, 112, 58, 122, 47, 111, 54, 118, 42, 106, 62, 126)(38, 102, 55, 119, 45, 109, 60, 124, 39, 103, 56, 120, 43, 107, 59, 123)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 170, 234)(143, 207, 166, 230)(144, 208, 168, 232)(145, 209, 171, 235)(147, 211, 169, 233)(148, 212, 172, 236)(149, 213, 174, 238)(150, 214, 167, 231)(151, 215, 173, 237)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 180, 244)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 183, 247)(161, 225, 185, 249)(162, 226, 187, 251)(163, 227, 184, 248)(164, 228, 188, 252)(175, 239, 191, 255)(176, 240, 179, 243)(177, 241, 189, 253)(190, 254, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 168)(13, 171)(14, 131)(15, 165)(16, 134)(17, 170)(18, 174)(19, 152)(20, 155)(21, 133)(22, 175)(23, 176)(24, 149)(25, 180)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 182)(33, 138)(34, 186)(35, 189)(36, 190)(37, 150)(38, 191)(39, 139)(40, 142)(41, 146)(42, 151)(43, 179)(44, 181)(45, 141)(46, 178)(47, 143)(48, 145)(49, 184)(50, 169)(51, 173)(52, 172)(53, 153)(54, 163)(55, 177)(56, 156)(57, 159)(58, 164)(59, 192)(60, 158)(61, 160)(62, 162)(63, 167)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1766
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y3, Y3^-2 * Y1^-4, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (Y3^-1 * Y1^-2)^2, (Y1^-1 * R * Y2)^2, (Y3^-1 * Y1^2)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 18, 82, 30, 94, 8, 72, 28, 92, 13, 77)(4, 68, 15, 79, 26, 90, 23, 87, 6, 70, 22, 86, 27, 91, 17, 81)(9, 73, 32, 96, 21, 85, 36, 100, 10, 74, 35, 99, 19, 83, 34, 98)(12, 76, 37, 101, 47, 111, 42, 106, 14, 78, 41, 105, 48, 112, 38, 102)(29, 93, 49, 113, 39, 103, 52, 116, 31, 95, 51, 115, 40, 104, 50, 114)(43, 107, 54, 118, 46, 110, 55, 119, 44, 108, 53, 117, 45, 109, 56, 120)(57, 121, 61, 125, 60, 124, 64, 128, 58, 122, 62, 126, 59, 123, 63, 127)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 161, 225)(141, 205, 152, 216)(143, 207, 165, 229)(144, 208, 158, 222)(145, 209, 166, 230)(147, 211, 167, 231)(148, 212, 156, 220)(149, 213, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(154, 218, 176, 240)(155, 219, 175, 239)(160, 224, 177, 241)(162, 226, 178, 242)(163, 227, 179, 243)(164, 228, 180, 244)(171, 235, 186, 250)(172, 236, 185, 249)(173, 237, 188, 252)(174, 238, 187, 251)(181, 245, 190, 254)(182, 246, 189, 253)(183, 247, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 159)(12, 158)(13, 167)(14, 131)(15, 171)(16, 134)(17, 173)(18, 168)(19, 152)(20, 155)(21, 133)(22, 172)(23, 174)(24, 149)(25, 175)(26, 148)(27, 135)(28, 176)(29, 139)(30, 142)(31, 136)(32, 181)(33, 138)(34, 183)(35, 182)(36, 184)(37, 185)(38, 187)(39, 146)(40, 141)(41, 186)(42, 188)(43, 150)(44, 143)(45, 151)(46, 145)(47, 156)(48, 153)(49, 189)(50, 191)(51, 190)(52, 192)(53, 163)(54, 160)(55, 164)(56, 162)(57, 169)(58, 165)(59, 170)(60, 166)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1764
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-2 * Y3 * Y1^2 * Y3, (Y1^-1 * Y3)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 7, 71, 16, 80, 31, 95, 48, 112, 43, 107, 24, 88, 10, 74)(4, 68, 11, 75, 17, 81, 34, 98, 49, 113, 46, 110, 27, 91, 12, 76)(8, 72, 19, 83, 32, 96, 51, 115, 47, 111, 28, 92, 13, 77, 20, 84)(9, 73, 21, 85, 33, 97, 52, 116, 61, 125, 59, 123, 41, 105, 22, 86)(18, 82, 35, 99, 50, 114, 62, 126, 60, 124, 42, 106, 23, 87, 36, 100)(25, 89, 44, 108, 53, 117, 38, 102, 56, 120, 37, 101, 26, 90, 45, 109)(39, 103, 57, 121, 63, 127, 55, 119, 64, 128, 54, 118, 40, 104, 58, 122)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 137, 201)(133, 197, 138, 202)(134, 198, 144, 208)(136, 200, 146, 210)(139, 203, 149, 213)(140, 204, 150, 214)(141, 205, 151, 215)(142, 206, 152, 216)(143, 207, 159, 223)(145, 209, 161, 225)(147, 211, 163, 227)(148, 212, 164, 228)(153, 217, 167, 231)(154, 218, 168, 232)(155, 219, 169, 233)(156, 220, 170, 234)(157, 221, 171, 235)(158, 222, 176, 240)(160, 224, 178, 242)(162, 226, 180, 244)(165, 229, 182, 246)(166, 230, 183, 247)(172, 236, 185, 249)(173, 237, 186, 250)(174, 238, 187, 251)(175, 239, 188, 252)(177, 241, 189, 253)(179, 243, 190, 254)(181, 245, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 137)(4, 129)(5, 141)(6, 145)(7, 146)(8, 130)(9, 131)(10, 151)(11, 153)(12, 154)(13, 133)(14, 155)(15, 160)(16, 161)(17, 134)(18, 135)(19, 165)(20, 166)(21, 167)(22, 168)(23, 138)(24, 169)(25, 139)(26, 140)(27, 142)(28, 172)(29, 175)(30, 177)(31, 178)(32, 143)(33, 144)(34, 181)(35, 182)(36, 183)(37, 147)(38, 148)(39, 149)(40, 150)(41, 152)(42, 185)(43, 188)(44, 156)(45, 179)(46, 184)(47, 157)(48, 189)(49, 158)(50, 159)(51, 173)(52, 191)(53, 162)(54, 163)(55, 164)(56, 174)(57, 170)(58, 190)(59, 192)(60, 171)(61, 176)(62, 186)(63, 180)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1765
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3 * Y2^-1)^2, Y1^4, Y3^4, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^5, Y2 * R * Y2 * Y1^-1 * Y2^-1 * R * Y1 * Y2, (Y2 * Y3 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 37, 101, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 20, 84, 29, 93, 9, 73)(11, 75, 32, 96, 53, 117, 25, 89)(14, 78, 27, 91, 51, 115, 42, 106)(15, 79, 31, 95, 17, 81, 39, 103)(18, 82, 36, 100, 56, 120, 47, 111)(19, 83, 26, 90, 54, 118, 40, 104)(21, 85, 30, 94, 23, 87, 28, 92)(22, 86, 34, 98, 55, 119, 38, 102)(24, 88, 35, 99, 52, 116, 33, 97)(41, 105, 57, 121, 43, 107, 58, 122)(44, 108, 59, 123, 50, 114, 64, 128)(45, 109, 60, 124, 48, 112, 62, 126)(46, 110, 61, 125, 49, 113, 63, 127)(129, 193, 131, 195, 142, 206, 168, 232, 190, 254, 160, 224, 150, 214, 134, 198)(130, 194, 137, 201, 155, 219, 144, 208, 173, 237, 182, 246, 162, 226, 139, 203)(132, 196, 146, 210, 169, 233, 180, 244, 178, 242, 151, 215, 174, 238, 145, 209)(133, 197, 147, 211, 170, 234, 181, 245, 176, 240, 148, 212, 166, 230, 141, 205)(135, 199, 149, 213, 171, 235, 143, 207, 172, 236, 184, 248, 177, 241, 152, 216)(136, 200, 153, 217, 179, 243, 157, 221, 188, 252, 165, 229, 183, 247, 154, 218)(138, 202, 159, 223, 185, 249, 175, 239, 192, 256, 163, 227, 189, 253, 158, 222)(140, 204, 161, 225, 186, 250, 156, 220, 187, 251, 167, 231, 191, 255, 164, 228)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 149)(7, 129)(8, 135)(9, 156)(10, 133)(11, 161)(12, 130)(13, 159)(14, 169)(15, 165)(16, 167)(17, 131)(18, 168)(19, 175)(20, 158)(21, 157)(22, 174)(23, 134)(24, 153)(25, 180)(26, 146)(27, 185)(28, 148)(29, 151)(30, 137)(31, 144)(32, 152)(33, 181)(34, 189)(35, 139)(36, 147)(37, 145)(38, 191)(39, 141)(40, 184)(41, 179)(42, 186)(43, 142)(44, 190)(45, 192)(46, 183)(47, 182)(48, 187)(49, 150)(50, 188)(51, 171)(52, 160)(53, 163)(54, 164)(55, 177)(56, 154)(57, 170)(58, 155)(59, 173)(60, 172)(61, 166)(62, 178)(63, 162)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1763
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y1, Y3^-1), Y3^2 * Y1^2, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 33, 97, 11, 75)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 18, 82, 43, 107, 21, 85)(9, 73, 27, 91, 54, 118, 26, 90)(14, 78, 28, 92, 52, 116, 38, 102)(15, 79, 35, 99, 16, 80, 32, 96)(17, 81, 29, 93, 56, 120, 30, 94)(19, 83, 25, 89, 51, 115, 45, 109)(20, 84, 44, 108, 23, 87, 36, 100)(22, 86, 34, 98, 55, 119, 46, 110)(24, 88, 31, 95, 53, 117, 47, 111)(37, 101, 57, 121, 48, 112, 62, 126)(39, 103, 58, 122, 40, 104, 59, 123)(41, 105, 60, 124, 50, 114, 64, 128)(42, 106, 61, 125, 49, 113, 63, 127)(129, 193, 131, 195, 142, 206, 155, 219, 185, 249, 173, 237, 150, 214, 134, 198)(130, 194, 137, 201, 156, 220, 179, 243, 176, 240, 149, 213, 162, 226, 139, 203)(132, 196, 145, 209, 167, 231, 181, 245, 178, 242, 151, 215, 170, 234, 144, 208)(133, 197, 146, 210, 166, 230, 141, 205, 165, 229, 182, 246, 174, 238, 147, 211)(135, 199, 148, 212, 168, 232, 143, 207, 169, 233, 184, 248, 177, 241, 152, 216)(136, 200, 153, 217, 180, 244, 171, 235, 190, 254, 161, 225, 183, 247, 154, 218)(138, 202, 159, 223, 186, 250, 172, 236, 192, 256, 163, 227, 189, 253, 158, 222)(140, 204, 160, 224, 187, 251, 157, 221, 188, 252, 175, 239, 191, 255, 164, 228)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 148)(7, 129)(8, 135)(9, 157)(10, 133)(11, 160)(12, 130)(13, 163)(14, 167)(15, 161)(16, 131)(17, 155)(18, 172)(19, 159)(20, 171)(21, 164)(22, 170)(23, 134)(24, 153)(25, 181)(26, 145)(27, 184)(28, 186)(29, 182)(30, 137)(31, 179)(32, 141)(33, 144)(34, 189)(35, 139)(36, 146)(37, 188)(38, 187)(39, 180)(40, 142)(41, 185)(42, 183)(43, 151)(44, 149)(45, 152)(46, 191)(47, 147)(48, 192)(49, 150)(50, 190)(51, 175)(52, 168)(53, 173)(54, 158)(55, 177)(56, 154)(57, 178)(58, 166)(59, 156)(60, 176)(61, 174)(62, 169)(63, 162)(64, 165)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1762
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y3^-2 * Y1 * Y3 * Y2, (Y3 * Y1 * Y3^-1 * Y2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 14, 78)(7, 71, 18, 82)(8, 72, 21, 85)(9, 73, 23, 87)(10, 74, 26, 90)(12, 76, 28, 92)(13, 77, 33, 97)(15, 79, 34, 98)(16, 80, 37, 101)(17, 81, 40, 104)(19, 83, 42, 106)(20, 84, 47, 111)(22, 86, 48, 112)(24, 88, 51, 115)(25, 89, 45, 109)(27, 91, 55, 119)(29, 93, 43, 107)(30, 94, 49, 113)(31, 95, 39, 103)(32, 96, 46, 110)(35, 99, 44, 108)(36, 100, 50, 114)(38, 102, 58, 122)(41, 105, 62, 126)(52, 116, 59, 123)(53, 117, 63, 127)(54, 118, 61, 125)(56, 120, 60, 124)(57, 121, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 143, 207)(135, 199, 147, 211)(136, 200, 150, 214)(137, 201, 152, 216)(138, 202, 155, 219)(139, 203, 156, 220)(141, 205, 153, 217)(142, 206, 162, 226)(144, 208, 166, 230)(145, 209, 169, 233)(146, 210, 170, 234)(148, 212, 167, 231)(149, 213, 176, 240)(151, 215, 179, 243)(154, 218, 183, 247)(157, 221, 180, 244)(158, 222, 181, 245)(159, 223, 175, 239)(160, 224, 182, 246)(161, 225, 173, 237)(163, 227, 184, 248)(164, 228, 185, 249)(165, 229, 186, 250)(168, 232, 190, 254)(171, 235, 187, 251)(172, 236, 188, 252)(174, 238, 189, 253)(177, 241, 191, 255)(178, 242, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 141)(5, 129)(6, 144)(7, 148)(8, 130)(9, 153)(10, 131)(11, 157)(12, 159)(13, 133)(14, 163)(15, 160)(16, 167)(17, 134)(18, 171)(19, 173)(20, 136)(21, 177)(22, 174)(23, 180)(24, 175)(25, 138)(26, 184)(27, 182)(28, 185)(29, 183)(30, 139)(31, 143)(32, 140)(33, 169)(34, 181)(35, 179)(36, 142)(37, 187)(38, 161)(39, 145)(40, 191)(41, 189)(42, 192)(43, 190)(44, 146)(45, 150)(46, 147)(47, 155)(48, 188)(49, 186)(50, 149)(51, 164)(52, 162)(53, 151)(54, 152)(55, 158)(56, 156)(57, 154)(58, 178)(59, 176)(60, 165)(61, 166)(62, 172)(63, 170)(64, 168)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1784
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y2)^4, (Y3 * Y2 * Y3^-1 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2, Y2 * Y3^-2 * Y1 * Y3^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 26, 90)(11, 75, 29, 93)(13, 77, 33, 97)(14, 78, 35, 99)(16, 80, 38, 102)(18, 82, 40, 104)(19, 83, 43, 107)(21, 85, 47, 111)(22, 86, 49, 113)(24, 88, 52, 116)(25, 89, 39, 103)(27, 91, 55, 119)(28, 92, 42, 106)(30, 94, 58, 122)(31, 95, 45, 109)(32, 96, 50, 114)(34, 98, 48, 112)(36, 100, 46, 110)(37, 101, 51, 115)(41, 105, 61, 125)(44, 108, 64, 128)(53, 117, 63, 127)(54, 118, 60, 124)(56, 120, 62, 126)(57, 121, 59, 123)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 155, 219)(139, 203, 158, 222)(140, 204, 154, 218)(142, 206, 156, 220)(143, 207, 157, 221)(145, 209, 167, 231)(146, 210, 169, 233)(147, 211, 172, 236)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(159, 223, 185, 249)(160, 224, 184, 248)(161, 225, 183, 247)(162, 226, 177, 241)(163, 227, 176, 240)(164, 228, 182, 246)(165, 229, 181, 245)(166, 230, 186, 250)(173, 237, 191, 255)(174, 238, 190, 254)(175, 239, 189, 253)(178, 242, 188, 252)(179, 243, 187, 251)(180, 244, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 149)(10, 156)(11, 131)(12, 159)(13, 162)(14, 133)(15, 164)(16, 145)(17, 141)(18, 170)(19, 134)(20, 173)(21, 176)(22, 136)(23, 178)(24, 137)(25, 169)(26, 181)(27, 177)(28, 139)(29, 184)(30, 167)(31, 186)(32, 140)(33, 185)(34, 144)(35, 172)(36, 183)(37, 143)(38, 182)(39, 155)(40, 187)(41, 163)(42, 147)(43, 190)(44, 153)(45, 192)(46, 148)(47, 191)(48, 152)(49, 158)(50, 189)(51, 151)(52, 188)(53, 166)(54, 154)(55, 165)(56, 161)(57, 157)(58, 160)(59, 180)(60, 168)(61, 179)(62, 175)(63, 171)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1785
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1 * Y2^-2 * Y3 * Y2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y3 * Y2^2 * Y1 * Y3 * Y2^-2 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1, (Y2 * R * Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y1, Y3 * Y2 * Y1 * Y2^2 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 33, 97)(15, 79, 36, 100)(17, 81, 43, 107)(18, 82, 41, 105)(19, 83, 47, 111)(20, 84, 50, 114)(22, 86, 53, 117)(23, 87, 40, 104)(25, 89, 52, 116)(27, 91, 48, 112)(28, 92, 45, 109)(29, 93, 55, 119)(31, 95, 44, 108)(32, 96, 59, 123)(34, 98, 58, 122)(35, 99, 42, 106)(37, 101, 54, 118)(38, 102, 46, 110)(39, 103, 56, 120)(49, 113, 62, 126)(51, 115, 61, 125)(57, 121, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(135, 199, 147, 211, 176, 240, 148, 212)(137, 201, 151, 215, 179, 243, 153, 217)(139, 203, 156, 220, 178, 242, 157, 221)(142, 206, 163, 227, 177, 241, 165, 229)(143, 207, 166, 230, 175, 239, 167, 231)(144, 208, 168, 232, 162, 226, 170, 234)(146, 210, 173, 237, 161, 225, 174, 238)(149, 213, 180, 244, 160, 224, 182, 246)(150, 214, 183, 247, 158, 222, 184, 248)(152, 216, 172, 236, 164, 228, 185, 249)(154, 218, 186, 250, 191, 255, 187, 251)(155, 219, 181, 245, 188, 252, 169, 233)(171, 235, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 160)(13, 162)(14, 164)(15, 133)(16, 169)(17, 172)(18, 134)(19, 177)(20, 179)(21, 181)(22, 136)(23, 184)(24, 137)(25, 174)(26, 176)(27, 138)(28, 182)(29, 170)(30, 187)(31, 171)(32, 140)(33, 186)(34, 141)(35, 183)(36, 142)(37, 173)(38, 180)(39, 168)(40, 167)(41, 144)(42, 157)(43, 159)(44, 145)(45, 165)(46, 153)(47, 190)(48, 154)(49, 147)(50, 189)(51, 148)(52, 166)(53, 149)(54, 156)(55, 163)(56, 151)(57, 191)(58, 161)(59, 158)(60, 192)(61, 178)(62, 175)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1782
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2^4, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y2^-2 * Y3^-1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^2 * Y2^2 * Y1 * Y2^-2 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2 * R * Y2 * Y1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 27, 91)(14, 78, 33, 97)(15, 79, 25, 89)(16, 80, 28, 92)(17, 81, 31, 95)(19, 83, 29, 93)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 32, 96)(24, 88, 52, 116)(35, 99, 50, 114)(36, 100, 63, 127)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 60, 124)(42, 106, 57, 121)(43, 107, 55, 119)(44, 108, 59, 123)(45, 109, 56, 120)(46, 110, 62, 126)(47, 111, 61, 125)(48, 112, 51, 115)(49, 113, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 161)(12, 166)(13, 169)(14, 131)(15, 151)(16, 134)(17, 158)(18, 162)(19, 174)(20, 133)(21, 173)(22, 175)(23, 149)(24, 181)(25, 184)(26, 135)(27, 139)(28, 138)(29, 146)(30, 150)(31, 189)(32, 137)(33, 188)(34, 190)(35, 186)(36, 185)(37, 182)(38, 180)(39, 140)(40, 178)(41, 142)(42, 191)(43, 192)(44, 179)(45, 143)(46, 148)(47, 145)(48, 187)(49, 183)(50, 171)(51, 170)(52, 167)(53, 165)(54, 152)(55, 163)(56, 154)(57, 176)(58, 177)(59, 164)(60, 155)(61, 160)(62, 157)(63, 172)(64, 168)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1783
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2 * Y1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2 * R * Y2^2 * Y1 * R * Y2 * Y1, Y2 * Y1 * Y2 * Y3 * Y2^2 * Y3 * Y1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 43, 107)(20, 84, 46, 110)(22, 86, 48, 112)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 41, 105)(28, 92, 42, 106)(30, 94, 44, 108)(31, 95, 54, 118)(33, 97, 56, 120)(35, 99, 49, 113)(36, 100, 50, 114)(45, 109, 61, 125)(47, 111, 63, 127)(51, 115, 58, 122)(52, 116, 59, 123)(53, 117, 60, 124)(55, 119, 62, 126)(57, 121, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 172, 236, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 176, 240, 156, 220)(143, 207, 163, 227, 166, 230, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(146, 210, 169, 233, 162, 226, 170, 234)(150, 214, 177, 241, 152, 216, 178, 242)(154, 218, 174, 238, 186, 250, 171, 235)(157, 221, 168, 232, 160, 224, 179, 243)(159, 223, 180, 244, 191, 255, 183, 247)(161, 225, 181, 245, 189, 253, 185, 249)(173, 237, 187, 251, 184, 248, 190, 254)(175, 239, 188, 252, 182, 246, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 168)(18, 134)(19, 173)(20, 175)(21, 176)(22, 136)(23, 172)(24, 137)(25, 179)(26, 138)(27, 180)(28, 181)(29, 182)(30, 165)(31, 140)(32, 184)(33, 141)(34, 142)(35, 183)(36, 185)(37, 158)(38, 144)(39, 186)(40, 145)(41, 187)(42, 188)(43, 189)(44, 151)(45, 147)(46, 191)(47, 148)(48, 149)(49, 190)(50, 192)(51, 153)(52, 155)(53, 156)(54, 157)(55, 163)(56, 160)(57, 164)(58, 167)(59, 169)(60, 170)(61, 171)(62, 177)(63, 174)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1781
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2)^2, (Y3 * Y2^-2)^2, Y2 * R * Y3 * Y1 * Y3^-1 * R * Y2^-1 * Y1, Y2 * R * Y2^-2 * Y1 * R * Y2 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 25, 89)(14, 78, 26, 90)(15, 79, 27, 91)(16, 80, 28, 92)(17, 81, 29, 93)(19, 83, 31, 95)(20, 84, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(45, 109, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 164, 228, 150, 214)(136, 200, 155, 219, 176, 240, 157, 221)(138, 202, 161, 225, 175, 239, 162, 226)(139, 203, 163, 227, 146, 210, 156, 220)(141, 205, 166, 230, 148, 212, 167, 231)(142, 206, 168, 232, 147, 211, 169, 233)(144, 208, 151, 215, 174, 238, 158, 222)(153, 217, 177, 241, 160, 224, 178, 242)(154, 218, 179, 243, 159, 223, 180, 244)(170, 234, 185, 249, 173, 237, 188, 252)(171, 235, 186, 250, 172, 236, 187, 251)(181, 245, 189, 253, 184, 248, 192, 256)(182, 246, 190, 254, 183, 247, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 154)(12, 164)(13, 151)(14, 131)(15, 170)(16, 134)(17, 172)(18, 160)(19, 158)(20, 133)(21, 171)(22, 173)(23, 142)(24, 175)(25, 139)(26, 135)(27, 181)(28, 138)(29, 183)(30, 148)(31, 146)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1780
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, Y1^-2 * Y3^2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 51, 115, 40, 104, 63, 127, 44, 108, 13, 77)(4, 68, 15, 79, 26, 90, 23, 87, 6, 70, 22, 86, 27, 91, 17, 81)(8, 72, 28, 92, 50, 114, 64, 128, 57, 121, 49, 113, 18, 82, 30, 94)(9, 73, 32, 96, 21, 85, 36, 100, 10, 74, 35, 99, 19, 83, 34, 98)(12, 76, 29, 93, 52, 116, 46, 110, 14, 78, 31, 95, 53, 117, 41, 105)(37, 101, 61, 125, 48, 112, 58, 122, 47, 111, 54, 118, 42, 106, 62, 126)(38, 102, 56, 120, 45, 109, 59, 123, 39, 103, 55, 119, 43, 107, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 170, 234)(143, 207, 167, 231)(144, 208, 168, 232)(145, 209, 173, 237)(147, 211, 174, 238)(148, 212, 172, 236)(149, 213, 169, 233)(150, 214, 166, 230)(151, 215, 171, 235)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 180, 244)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 184, 248)(161, 225, 185, 249)(162, 226, 188, 252)(163, 227, 183, 247)(164, 228, 187, 251)(175, 239, 191, 255)(176, 240, 179, 243)(177, 241, 189, 253)(190, 254, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 168)(13, 171)(14, 131)(15, 175)(16, 134)(17, 176)(18, 169)(19, 152)(20, 155)(21, 133)(22, 165)(23, 170)(24, 149)(25, 180)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 189)(33, 138)(34, 190)(35, 182)(36, 186)(37, 143)(38, 191)(39, 139)(40, 142)(41, 178)(42, 145)(43, 179)(44, 181)(45, 141)(46, 146)(47, 150)(48, 151)(49, 184)(50, 174)(51, 173)(52, 172)(53, 153)(54, 160)(55, 177)(56, 156)(57, 159)(58, 162)(59, 192)(60, 158)(61, 163)(62, 164)(63, 167)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1779
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^2 * Y2 * Y1^-2 * Y2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-3 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y2 * Y1^2 * Y3 * Y1 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y2 * Y1^-1)^4, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 40, 104, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 44, 108, 61, 125, 60, 124, 31, 95, 11, 75)(4, 68, 12, 76, 19, 83, 46, 110, 62, 126, 57, 121, 36, 100, 13, 77)(7, 71, 20, 84, 42, 106, 63, 127, 59, 123, 38, 102, 14, 78, 22, 86)(8, 72, 23, 87, 43, 107, 64, 128, 58, 122, 39, 103, 15, 79, 24, 88)(10, 74, 27, 91, 45, 109, 37, 101, 50, 114, 21, 85, 49, 113, 28, 92)(25, 89, 54, 118, 35, 99, 51, 115, 33, 97, 47, 111, 29, 93, 56, 120)(26, 90, 48, 112, 34, 98, 55, 119, 32, 96, 53, 117, 30, 94, 52, 116)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 157, 221)(140, 204, 160, 224)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 159, 223)(145, 209, 170, 234)(147, 211, 173, 237)(148, 212, 175, 239)(150, 214, 179, 243)(151, 215, 181, 245)(152, 216, 183, 247)(154, 218, 185, 249)(155, 219, 186, 250)(156, 220, 171, 235)(158, 222, 174, 238)(161, 225, 188, 252)(163, 227, 172, 236)(164, 228, 177, 241)(166, 230, 182, 246)(167, 231, 176, 240)(168, 232, 187, 251)(169, 233, 189, 253)(178, 242, 190, 254)(180, 244, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 158)(12, 161)(13, 163)(14, 165)(15, 133)(16, 164)(17, 171)(18, 173)(19, 134)(20, 176)(21, 135)(22, 180)(23, 182)(24, 184)(25, 185)(26, 137)(27, 187)(28, 170)(29, 174)(30, 139)(31, 177)(32, 188)(33, 140)(34, 172)(35, 141)(36, 144)(37, 142)(38, 181)(39, 175)(40, 186)(41, 190)(42, 156)(43, 145)(44, 162)(45, 146)(46, 157)(47, 167)(48, 148)(49, 159)(50, 189)(51, 192)(52, 150)(53, 166)(54, 151)(55, 191)(56, 152)(57, 153)(58, 168)(59, 155)(60, 160)(61, 178)(62, 169)(63, 183)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1778
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y1^-2 * Y2 * Y1^2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 25, 89, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 14, 78, 22, 86, 7, 71, 20, 84, 11, 75)(4, 68, 12, 76, 19, 83, 40, 104, 57, 121, 50, 114, 34, 98, 13, 77)(8, 72, 23, 87, 38, 102, 58, 122, 49, 113, 36, 100, 15, 79, 24, 88)(10, 74, 27, 91, 39, 103, 32, 96, 44, 108, 30, 94, 41, 105, 28, 92)(21, 85, 42, 106, 29, 93, 47, 111, 26, 90, 45, 109, 35, 99, 43, 107)(31, 95, 54, 118, 59, 123, 48, 112, 63, 127, 46, 110, 33, 97, 55, 119)(51, 115, 60, 124, 56, 120, 64, 128, 53, 117, 62, 126, 52, 116, 61, 125)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 145, 209)(140, 204, 158, 222)(141, 205, 160, 224)(143, 207, 163, 227)(144, 208, 148, 212)(147, 211, 167, 231)(150, 214, 165, 229)(151, 215, 173, 237)(152, 216, 175, 239)(154, 218, 177, 241)(155, 219, 178, 242)(156, 220, 168, 232)(157, 221, 166, 230)(159, 223, 181, 245)(161, 225, 184, 248)(162, 226, 169, 233)(164, 228, 170, 234)(171, 235, 186, 250)(172, 236, 185, 249)(174, 238, 190, 254)(176, 240, 192, 256)(179, 243, 191, 255)(180, 244, 187, 251)(182, 246, 188, 252)(183, 247, 189, 253)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 159)(13, 161)(14, 163)(15, 133)(16, 162)(17, 166)(18, 167)(19, 134)(20, 169)(21, 135)(22, 172)(23, 174)(24, 176)(25, 177)(26, 137)(27, 179)(28, 180)(29, 139)(30, 181)(31, 140)(32, 184)(33, 141)(34, 144)(35, 142)(36, 182)(37, 185)(38, 145)(39, 146)(40, 187)(41, 148)(42, 188)(43, 189)(44, 150)(45, 190)(46, 151)(47, 192)(48, 152)(49, 153)(50, 191)(51, 155)(52, 156)(53, 158)(54, 164)(55, 186)(56, 160)(57, 165)(58, 183)(59, 168)(60, 170)(61, 171)(62, 173)(63, 178)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1776
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-3 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 15, 79, 29, 93, 18, 82, 5, 69)(3, 67, 8, 72, 23, 87, 45, 109, 34, 98, 49, 113, 37, 101, 12, 76)(4, 68, 14, 78, 24, 88, 21, 85, 6, 70, 20, 84, 25, 89, 16, 80)(9, 73, 28, 92, 19, 83, 32, 96, 10, 74, 31, 95, 17, 81, 30, 94)(11, 75, 33, 97, 46, 110, 40, 104, 13, 77, 39, 103, 47, 111, 35, 99)(26, 90, 48, 112, 38, 102, 52, 116, 27, 91, 51, 115, 36, 100, 50, 114)(41, 105, 54, 118, 44, 108, 55, 119, 42, 106, 53, 117, 43, 107, 56, 120)(57, 121, 62, 126, 60, 124, 63, 127, 58, 122, 61, 125, 59, 123, 64, 128)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 167, 231)(143, 207, 162, 226)(144, 208, 168, 232)(145, 209, 166, 230)(146, 210, 165, 229)(147, 211, 164, 228)(148, 212, 161, 225)(149, 213, 163, 227)(150, 214, 173, 237)(152, 216, 175, 239)(153, 217, 174, 238)(156, 220, 179, 243)(157, 221, 177, 241)(158, 222, 180, 244)(159, 223, 176, 240)(160, 224, 178, 242)(169, 233, 185, 249)(170, 234, 186, 250)(171, 235, 187, 251)(172, 236, 188, 252)(181, 245, 189, 253)(182, 246, 190, 254)(183, 247, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 139)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 164)(13, 131)(14, 169)(15, 134)(16, 171)(17, 150)(18, 153)(19, 133)(20, 170)(21, 172)(22, 147)(23, 174)(24, 146)(25, 135)(26, 177)(27, 136)(28, 181)(29, 138)(30, 183)(31, 182)(32, 184)(33, 185)(34, 141)(35, 187)(36, 173)(37, 175)(38, 140)(39, 186)(40, 188)(41, 148)(42, 142)(43, 149)(44, 144)(45, 166)(46, 165)(47, 151)(48, 189)(49, 155)(50, 191)(51, 190)(52, 192)(53, 159)(54, 156)(55, 160)(56, 158)(57, 167)(58, 161)(59, 168)(60, 163)(61, 179)(62, 176)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1777
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ R^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, Y3^4, (Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-3, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y3 * Y2 * Y3 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 43, 107, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 23, 87, 34, 98, 9, 73)(7, 71, 22, 86, 31, 95, 10, 74)(11, 75, 38, 102, 55, 119, 28, 92)(14, 78, 32, 96, 54, 118, 47, 111)(15, 79, 36, 100, 60, 124, 39, 103)(17, 81, 50, 114, 27, 91, 41, 105)(19, 83, 42, 106, 24, 88, 35, 99)(20, 84, 37, 101, 57, 121, 49, 113)(21, 85, 30, 94, 58, 122, 45, 109)(25, 89, 40, 104, 59, 123, 44, 108)(26, 90, 33, 97, 56, 120, 52, 116)(46, 110, 63, 127, 53, 117, 62, 126)(48, 112, 64, 128, 51, 115, 61, 125)(129, 193, 131, 195, 142, 206, 173, 237, 185, 249, 166, 230, 153, 217, 134, 198)(130, 194, 137, 201, 160, 224, 144, 208, 177, 241, 186, 250, 168, 232, 139, 203)(132, 196, 147, 211, 174, 238, 188, 252, 159, 223, 154, 218, 179, 243, 145, 209)(133, 197, 149, 213, 175, 239, 183, 247, 165, 229, 151, 215, 172, 236, 141, 205)(135, 199, 152, 216, 176, 240, 143, 207, 157, 221, 184, 248, 181, 245, 155, 219)(136, 200, 156, 220, 182, 246, 162, 226, 148, 212, 171, 235, 187, 251, 158, 222)(138, 202, 164, 228, 189, 253, 180, 244, 146, 210, 169, 233, 191, 255, 163, 227)(140, 204, 167, 231, 190, 254, 161, 225, 150, 214, 178, 242, 192, 256, 170, 234)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 152)(7, 129)(8, 157)(9, 161)(10, 165)(11, 167)(12, 130)(13, 169)(14, 174)(15, 156)(16, 178)(17, 131)(18, 133)(19, 173)(20, 135)(21, 163)(22, 177)(23, 180)(24, 158)(25, 179)(26, 134)(27, 171)(28, 145)(29, 185)(30, 154)(31, 136)(32, 189)(33, 149)(34, 147)(35, 137)(36, 144)(37, 140)(38, 155)(39, 141)(40, 191)(41, 139)(42, 151)(43, 188)(44, 190)(45, 184)(46, 187)(47, 192)(48, 142)(49, 146)(50, 183)(51, 182)(52, 186)(53, 153)(54, 181)(55, 164)(56, 162)(57, 159)(58, 170)(59, 176)(60, 166)(61, 172)(62, 160)(63, 175)(64, 168)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1774
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2^-1 * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * R * Y2 * R * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^-3, Y2 * Y3^2 * R * Y2^-1 * R, Y1 * Y2 * Y1 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 39, 103, 11, 75)(4, 68, 17, 81, 29, 93, 12, 76)(6, 70, 20, 84, 50, 114, 24, 88)(7, 71, 21, 85, 31, 95, 10, 74)(9, 73, 32, 96, 58, 122, 30, 94)(14, 78, 33, 97, 55, 119, 43, 107)(15, 79, 41, 105, 60, 124, 44, 108)(16, 80, 38, 102, 27, 91, 36, 100)(18, 82, 34, 98, 23, 87, 48, 112)(19, 83, 37, 101, 57, 121, 49, 113)(22, 86, 28, 92, 54, 118, 51, 115)(25, 89, 40, 104, 59, 123, 52, 116)(26, 90, 42, 106, 56, 120, 35, 99)(45, 109, 63, 127, 53, 117, 62, 126)(46, 110, 64, 128, 47, 111, 61, 125)(129, 193, 131, 195, 142, 206, 160, 224, 185, 249, 179, 243, 153, 217, 134, 198)(130, 194, 137, 201, 161, 225, 182, 246, 177, 241, 152, 216, 168, 232, 139, 203)(132, 196, 146, 210, 173, 237, 188, 252, 159, 223, 154, 218, 175, 239, 144, 208)(133, 197, 148, 212, 171, 235, 141, 205, 165, 229, 186, 250, 180, 244, 150, 214)(135, 199, 151, 215, 174, 238, 143, 207, 157, 221, 184, 248, 181, 245, 155, 219)(136, 200, 156, 220, 183, 247, 178, 242, 147, 211, 167, 231, 187, 251, 158, 222)(138, 202, 164, 228, 189, 253, 176, 240, 145, 209, 169, 233, 191, 255, 163, 227)(140, 204, 166, 230, 190, 254, 162, 226, 149, 213, 172, 236, 192, 256, 170, 234)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 149)(6, 151)(7, 129)(8, 157)(9, 162)(10, 165)(11, 166)(12, 130)(13, 164)(14, 173)(15, 156)(16, 131)(17, 133)(18, 160)(19, 135)(20, 163)(21, 177)(22, 169)(23, 158)(24, 170)(25, 175)(26, 134)(27, 167)(28, 144)(29, 185)(30, 154)(31, 136)(32, 184)(33, 189)(34, 148)(35, 137)(36, 182)(37, 140)(38, 150)(39, 188)(40, 191)(41, 139)(42, 186)(43, 192)(44, 141)(45, 187)(46, 142)(47, 183)(48, 152)(49, 145)(50, 146)(51, 155)(52, 190)(53, 153)(54, 172)(55, 181)(56, 178)(57, 159)(58, 176)(59, 174)(60, 179)(61, 180)(62, 161)(63, 171)(64, 168)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1775
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C4 x D16 (small group id <64, 118>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^8, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^3 * Y1, (Y2^-1 * Y1)^4, Y3 * Y2^2 * Y1 * Y3 * Y2^-2 * Y1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-3 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 39, 103)(18, 82, 40, 104)(19, 83, 24, 88)(22, 86, 46, 110)(23, 87, 44, 108)(25, 89, 53, 117)(27, 91, 54, 118)(29, 93, 43, 107)(31, 95, 45, 109)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 49, 113)(36, 100, 50, 114)(37, 101, 56, 120)(38, 102, 52, 116)(41, 105, 55, 119)(42, 106, 51, 115)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 141, 205, 161, 225, 144, 208)(134, 198, 142, 206, 162, 226, 146, 210)(136, 200, 150, 214, 175, 239, 153, 217)(138, 202, 151, 215, 176, 240, 155, 219)(139, 203, 157, 221, 145, 209, 159, 223)(143, 207, 163, 227, 187, 251, 166, 230)(147, 211, 164, 228, 188, 252, 169, 233)(148, 212, 171, 235, 154, 218, 173, 237)(152, 216, 177, 241, 191, 255, 180, 244)(156, 220, 178, 242, 192, 256, 183, 247)(158, 222, 185, 249, 168, 232, 184, 248)(160, 224, 186, 250, 167, 231, 179, 243)(165, 229, 174, 238, 190, 254, 181, 245)(170, 234, 172, 236, 189, 253, 182, 246)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 150)(8, 152)(9, 153)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 165)(16, 166)(17, 168)(18, 133)(19, 134)(20, 172)(21, 175)(22, 177)(23, 135)(24, 179)(25, 180)(26, 182)(27, 137)(28, 138)(29, 185)(30, 178)(31, 184)(32, 139)(33, 187)(34, 140)(35, 174)(36, 142)(37, 173)(38, 181)(39, 145)(40, 183)(41, 146)(42, 147)(43, 189)(44, 164)(45, 170)(46, 148)(47, 191)(48, 149)(49, 160)(50, 151)(51, 159)(52, 167)(53, 154)(54, 169)(55, 155)(56, 156)(57, 192)(58, 157)(59, 190)(60, 162)(61, 188)(62, 171)(63, 186)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1789
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C4 x D16 (small group id <64, 118>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, (R * Y2)^2, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 18, 82)(12, 76, 20, 84)(13, 77, 19, 83)(14, 78, 24, 88)(15, 79, 23, 87)(16, 80, 22, 86)(17, 81, 21, 85)(25, 89, 34, 98)(26, 90, 33, 97)(27, 91, 36, 100)(28, 92, 35, 99)(29, 93, 40, 104)(30, 94, 39, 103)(31, 95, 38, 102)(32, 96, 37, 101)(41, 105, 49, 113)(42, 106, 48, 112)(43, 107, 51, 115)(44, 108, 50, 114)(45, 109, 52, 116)(46, 110, 54, 118)(47, 111, 53, 117)(55, 119, 60, 124)(56, 120, 59, 123)(57, 121, 61, 125)(58, 122, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 146, 210, 137, 201)(132, 196, 140, 204, 153, 217, 143, 207)(134, 198, 141, 205, 154, 218, 144, 208)(136, 200, 147, 211, 161, 225, 150, 214)(138, 202, 148, 212, 162, 226, 151, 215)(142, 206, 155, 219, 169, 233, 158, 222)(145, 209, 156, 220, 170, 234, 159, 223)(149, 213, 163, 227, 176, 240, 166, 230)(152, 216, 164, 228, 177, 241, 167, 231)(157, 221, 171, 235, 183, 247, 174, 238)(160, 224, 172, 236, 184, 248, 175, 239)(165, 229, 178, 242, 187, 251, 181, 245)(168, 232, 179, 243, 188, 252, 182, 246)(173, 237, 185, 249, 191, 255, 186, 250)(180, 244, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 147)(8, 149)(9, 150)(10, 130)(11, 153)(12, 155)(13, 131)(14, 157)(15, 158)(16, 133)(17, 134)(18, 161)(19, 163)(20, 135)(21, 165)(22, 166)(23, 137)(24, 138)(25, 169)(26, 139)(27, 171)(28, 141)(29, 173)(30, 174)(31, 144)(32, 145)(33, 176)(34, 146)(35, 178)(36, 148)(37, 180)(38, 181)(39, 151)(40, 152)(41, 183)(42, 154)(43, 185)(44, 156)(45, 160)(46, 186)(47, 159)(48, 187)(49, 162)(50, 189)(51, 164)(52, 168)(53, 190)(54, 167)(55, 191)(56, 170)(57, 172)(58, 175)(59, 192)(60, 177)(61, 179)(62, 182)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1788
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C4 x D16 (small group id <64, 118>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1, Y3^-1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y1^4 * Y3^-4, Y1^4 * Y3^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 44, 108, 41, 105, 18, 82, 5, 69)(3, 67, 11, 75, 31, 95, 57, 121, 61, 125, 49, 113, 22, 86, 13, 77)(4, 68, 9, 73, 23, 87, 46, 110, 43, 107, 56, 120, 40, 104, 16, 80)(6, 70, 10, 74, 24, 88, 47, 111, 37, 101, 55, 119, 42, 106, 19, 83)(8, 72, 25, 89, 17, 81, 36, 100, 59, 123, 63, 127, 45, 109, 27, 91)(12, 76, 28, 92, 53, 117, 39, 103, 60, 124, 64, 128, 48, 112, 33, 97)(14, 78, 32, 96, 58, 122, 62, 126, 54, 118, 26, 90, 50, 114, 35, 99)(15, 79, 29, 93, 51, 115, 34, 98, 20, 84, 30, 94, 52, 116, 38, 102)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 156, 220)(138, 202, 154, 218)(139, 203, 157, 221)(141, 205, 162, 226)(143, 207, 164, 228)(144, 208, 167, 231)(146, 210, 159, 223)(147, 211, 163, 227)(148, 212, 155, 219)(149, 213, 173, 237)(151, 215, 178, 242)(152, 216, 176, 240)(153, 217, 179, 243)(158, 222, 177, 241)(160, 224, 183, 247)(161, 225, 174, 238)(165, 229, 188, 252)(166, 230, 185, 249)(168, 232, 186, 250)(169, 233, 187, 251)(170, 234, 181, 245)(171, 235, 182, 246)(172, 236, 189, 253)(175, 239, 190, 254)(180, 244, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 151)(8, 154)(9, 157)(10, 130)(11, 156)(12, 155)(13, 161)(14, 131)(15, 165)(16, 166)(17, 163)(18, 168)(19, 133)(20, 134)(21, 174)(22, 176)(23, 179)(24, 135)(25, 178)(26, 177)(27, 182)(28, 136)(29, 183)(30, 138)(31, 181)(32, 139)(33, 173)(34, 147)(35, 141)(36, 142)(37, 172)(38, 175)(39, 145)(40, 180)(41, 184)(42, 146)(43, 148)(44, 171)(45, 190)(46, 162)(47, 149)(48, 191)(49, 192)(50, 150)(51, 170)(52, 152)(53, 153)(54, 189)(55, 169)(56, 158)(57, 167)(58, 159)(59, 160)(60, 164)(61, 188)(62, 185)(63, 186)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1787
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = C4 x D16 (small group id <64, 118>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (R * Y1^-1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, (Y1^-2 * Y2)^2, Y3^-4 * Y1^4, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-3, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 44, 108, 40, 104, 18, 82, 5, 69)(3, 67, 11, 75, 31, 95, 57, 121, 61, 125, 49, 113, 22, 86, 13, 77)(4, 68, 9, 73, 23, 87, 46, 110, 43, 107, 56, 120, 38, 102, 16, 80)(6, 70, 10, 74, 24, 88, 47, 111, 37, 101, 55, 119, 41, 105, 19, 83)(8, 72, 25, 89, 17, 81, 33, 97, 59, 123, 62, 126, 45, 109, 27, 91)(12, 76, 32, 96, 58, 122, 63, 127, 54, 118, 28, 92, 48, 112, 34, 98)(14, 78, 26, 90, 53, 117, 39, 103, 60, 124, 64, 128, 50, 114, 36, 100)(15, 79, 29, 93, 51, 115, 42, 106, 20, 84, 30, 94, 52, 116, 35, 99)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 156, 220)(138, 202, 154, 218)(139, 203, 158, 222)(141, 205, 163, 227)(143, 207, 155, 219)(144, 208, 162, 226)(146, 210, 159, 223)(147, 211, 167, 231)(148, 212, 161, 225)(149, 213, 173, 237)(151, 215, 178, 242)(152, 216, 176, 240)(153, 217, 180, 244)(157, 221, 177, 241)(160, 224, 184, 248)(164, 228, 175, 239)(165, 229, 182, 246)(166, 230, 181, 245)(168, 232, 187, 251)(169, 233, 186, 250)(170, 234, 185, 249)(171, 235, 188, 252)(172, 236, 189, 253)(174, 238, 191, 255)(179, 243, 190, 254)(183, 247, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 151)(8, 154)(9, 157)(10, 130)(11, 160)(12, 161)(13, 162)(14, 131)(15, 165)(16, 163)(17, 167)(18, 166)(19, 133)(20, 134)(21, 174)(22, 176)(23, 179)(24, 135)(25, 181)(26, 139)(27, 142)(28, 136)(29, 183)(30, 138)(31, 186)(32, 187)(33, 188)(34, 145)(35, 175)(36, 141)(37, 172)(38, 180)(39, 185)(40, 184)(41, 146)(42, 147)(43, 148)(44, 171)(45, 164)(46, 170)(47, 149)(48, 153)(49, 156)(50, 150)(51, 169)(52, 152)(53, 159)(54, 155)(55, 168)(56, 158)(57, 191)(58, 190)(59, 192)(60, 189)(61, 182)(62, 178)(63, 173)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1786
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * R * Y3 * Y1 * Y3^-1 * R * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 18, 82)(11, 75, 19, 83)(13, 77, 21, 85)(14, 78, 22, 86)(16, 80, 24, 88)(25, 89, 47, 111)(26, 90, 42, 106)(27, 91, 46, 110)(28, 92, 48, 112)(29, 93, 49, 113)(30, 94, 50, 114)(31, 95, 37, 101)(32, 96, 55, 119)(33, 97, 53, 117)(34, 98, 54, 118)(35, 99, 38, 102)(36, 100, 56, 120)(39, 103, 57, 121)(40, 104, 58, 122)(41, 105, 59, 123)(43, 107, 64, 128)(44, 108, 62, 126)(45, 109, 63, 127)(51, 115, 60, 124)(52, 116, 61, 125)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 156, 220)(139, 203, 158, 222)(140, 204, 159, 223)(142, 206, 157, 221)(143, 207, 163, 227)(145, 209, 164, 228)(146, 210, 167, 231)(147, 211, 169, 233)(148, 212, 170, 234)(150, 214, 168, 232)(151, 215, 174, 238)(154, 218, 176, 240)(155, 219, 178, 242)(160, 224, 177, 241)(161, 225, 179, 243)(162, 226, 180, 244)(165, 229, 185, 249)(166, 230, 187, 251)(171, 235, 186, 250)(172, 236, 188, 252)(173, 237, 189, 253)(175, 239, 191, 255)(181, 245, 192, 256)(182, 246, 184, 248)(183, 247, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 154)(10, 157)(11, 131)(12, 160)(13, 161)(14, 133)(15, 153)(16, 162)(17, 165)(18, 168)(19, 134)(20, 171)(21, 172)(22, 136)(23, 164)(24, 173)(25, 140)(26, 177)(27, 137)(28, 179)(29, 139)(30, 180)(31, 181)(32, 143)(33, 144)(34, 141)(35, 182)(36, 148)(37, 186)(38, 145)(39, 188)(40, 147)(41, 189)(42, 190)(43, 151)(44, 152)(45, 149)(46, 191)(47, 185)(48, 192)(49, 155)(50, 184)(51, 158)(52, 156)(53, 163)(54, 159)(55, 187)(56, 176)(57, 183)(58, 166)(59, 175)(60, 169)(61, 167)(62, 174)(63, 170)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1795
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-3 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y3^-2 * Y2^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 24, 88)(13, 77, 23, 87)(14, 78, 30, 94)(15, 79, 32, 96)(16, 80, 31, 95)(17, 81, 29, 93)(18, 82, 28, 92)(19, 83, 25, 89)(20, 84, 27, 91)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 52, 116)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 48, 112)(41, 105, 53, 117)(42, 106, 55, 119)(43, 107, 54, 118)(44, 108, 56, 120)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 185, 249, 170, 234)(149, 213, 168, 232, 186, 250, 171, 235)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 189, 253, 182, 246)(160, 224, 180, 244, 190, 254, 183, 247)(169, 233, 187, 251, 172, 236, 188, 252)(181, 245, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 168)(15, 167)(16, 171)(17, 170)(18, 133)(19, 169)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 180)(26, 179)(27, 183)(28, 182)(29, 137)(30, 181)(31, 184)(32, 138)(33, 185)(34, 139)(35, 186)(36, 147)(37, 149)(38, 187)(39, 188)(40, 141)(41, 142)(42, 148)(43, 146)(44, 144)(45, 189)(46, 150)(47, 190)(48, 158)(49, 160)(50, 191)(51, 192)(52, 152)(53, 153)(54, 159)(55, 157)(56, 155)(57, 166)(58, 162)(59, 163)(60, 165)(61, 178)(62, 174)(63, 175)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1794
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-3 * Y2 * Y3^-1, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y2 * Y3^-1 * Y2^-1 * Y1)^2, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 35, 99)(20, 84, 30, 94)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 54, 118)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 58, 122)(47, 111, 59, 123)(48, 112, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 189, 253, 175, 239)(151, 215, 174, 238, 190, 254, 176, 240)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 191, 255, 187, 251)(164, 228, 186, 250, 192, 256, 188, 252)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 167)(13, 170)(14, 131)(15, 174)(16, 173)(17, 176)(18, 158)(19, 175)(20, 133)(21, 152)(22, 159)(23, 134)(24, 143)(25, 179)(26, 182)(27, 135)(28, 186)(29, 185)(30, 188)(31, 145)(32, 187)(33, 137)(34, 139)(35, 146)(36, 138)(37, 181)(38, 183)(39, 189)(40, 140)(41, 190)(42, 149)(43, 151)(44, 177)(45, 178)(46, 142)(47, 150)(48, 148)(49, 169)(50, 171)(51, 191)(52, 153)(53, 192)(54, 162)(55, 164)(56, 165)(57, 166)(58, 155)(59, 163)(60, 161)(61, 172)(62, 168)(63, 184)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1793
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-3 * Y1^-1, Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1 * Y3^2 * Y1^-1, Y3^3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 50, 114, 48, 112, 20, 84, 5, 69)(3, 67, 11, 75, 39, 103, 61, 125, 63, 127, 53, 117, 26, 90, 13, 77)(4, 68, 15, 79, 27, 91, 19, 83, 35, 99, 9, 73, 33, 97, 17, 81)(6, 70, 22, 86, 28, 92, 21, 85, 37, 101, 10, 74, 36, 100, 23, 87)(8, 72, 29, 93, 18, 82, 47, 111, 62, 126, 64, 128, 51, 115, 31, 95)(12, 76, 41, 105, 57, 121, 44, 108, 60, 124, 32, 96, 52, 116, 42, 106)(14, 78, 30, 94, 58, 122, 45, 109, 59, 123, 40, 104, 54, 118, 46, 110)(16, 80, 34, 98, 55, 119, 43, 107, 24, 88, 38, 102, 56, 120, 49, 113)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 162, 226)(141, 205, 171, 235)(143, 207, 169, 233)(144, 208, 175, 239)(145, 209, 172, 236)(147, 211, 170, 234)(148, 212, 167, 231)(149, 213, 173, 237)(150, 214, 168, 232)(151, 215, 174, 238)(152, 216, 159, 223)(153, 217, 179, 243)(155, 219, 182, 246)(156, 220, 180, 244)(157, 221, 183, 247)(161, 225, 186, 250)(163, 227, 187, 251)(164, 228, 185, 249)(165, 229, 188, 252)(166, 230, 181, 245)(176, 240, 190, 254)(177, 241, 189, 253)(178, 242, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 160)(12, 159)(13, 172)(14, 131)(15, 166)(16, 165)(17, 171)(18, 173)(19, 177)(20, 161)(21, 133)(22, 176)(23, 153)(24, 134)(25, 145)(26, 180)(27, 183)(28, 135)(29, 182)(30, 181)(31, 187)(32, 136)(33, 184)(34, 150)(35, 152)(36, 148)(37, 178)(38, 138)(39, 185)(40, 139)(41, 190)(42, 146)(43, 149)(44, 179)(45, 141)(46, 189)(47, 142)(48, 143)(49, 151)(50, 163)(51, 174)(52, 192)(53, 169)(54, 154)(55, 164)(56, 156)(57, 157)(58, 167)(59, 191)(60, 175)(61, 170)(62, 168)(63, 188)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1792
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3^-1 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y1^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3, (Y1^-1 * R * Y2)^2, (Y2 * Y1^-2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 50, 114, 48, 112, 20, 84, 5, 69)(3, 67, 11, 75, 39, 103, 61, 125, 63, 127, 53, 117, 26, 90, 13, 77)(4, 68, 15, 79, 27, 91, 19, 83, 35, 99, 9, 73, 33, 97, 17, 81)(6, 70, 22, 86, 28, 92, 21, 85, 37, 101, 10, 74, 36, 100, 23, 87)(8, 72, 29, 93, 18, 82, 41, 105, 62, 126, 64, 128, 51, 115, 31, 95)(12, 76, 32, 96, 60, 124, 44, 108, 59, 123, 40, 104, 52, 116, 42, 106)(14, 78, 46, 110, 57, 121, 45, 109, 58, 122, 30, 94, 54, 118, 47, 111)(16, 80, 34, 98, 55, 119, 49, 113, 24, 88, 38, 102, 56, 120, 43, 107)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 168, 232)(144, 208, 159, 223)(145, 209, 170, 234)(147, 211, 172, 236)(148, 212, 167, 231)(149, 213, 175, 239)(150, 214, 174, 238)(151, 215, 173, 237)(152, 216, 169, 233)(153, 217, 179, 243)(155, 219, 182, 246)(156, 220, 180, 244)(157, 221, 184, 248)(161, 225, 185, 249)(162, 226, 181, 245)(163, 227, 186, 250)(164, 228, 188, 252)(165, 229, 187, 251)(176, 240, 190, 254)(177, 241, 189, 253)(178, 242, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 168)(12, 169)(13, 172)(14, 131)(15, 166)(16, 165)(17, 177)(18, 175)(19, 171)(20, 161)(21, 133)(22, 176)(23, 153)(24, 134)(25, 145)(26, 180)(27, 183)(28, 135)(29, 185)(30, 139)(31, 142)(32, 136)(33, 184)(34, 150)(35, 152)(36, 148)(37, 178)(38, 138)(39, 188)(40, 190)(41, 186)(42, 179)(43, 151)(44, 146)(45, 141)(46, 181)(47, 189)(48, 143)(49, 149)(50, 163)(51, 173)(52, 157)(53, 160)(54, 154)(55, 164)(56, 156)(57, 167)(58, 191)(59, 159)(60, 192)(61, 170)(62, 174)(63, 187)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1791
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, (R * Y3)^2, Y3^-2 * Y1^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (Y3, Y1^-1), (Y3 * Y2^-1)^2, Y2 * Y1 * Y2^3 * Y1^-1, Y2^3 * Y1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 28, 92, 49, 113, 41, 105)(15, 79, 37, 101, 17, 81, 39, 103)(18, 82, 45, 109, 22, 86, 47, 111)(24, 88, 36, 100, 50, 114, 43, 107)(29, 93, 51, 115, 31, 95, 53, 117)(32, 96, 57, 121, 34, 98, 59, 123)(38, 102, 52, 116, 44, 108, 56, 120)(40, 104, 54, 118, 42, 106, 55, 119)(46, 110, 58, 122, 48, 112, 60, 124)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 142, 206, 163, 227, 184, 248, 158, 222, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 149, 213, 166, 230, 141, 205, 164, 228, 139, 203)(132, 196, 146, 210, 174, 238, 179, 243, 191, 255, 187, 251, 168, 232, 145, 209)(133, 197, 147, 211, 169, 233, 151, 215, 172, 236, 144, 208, 171, 235, 148, 212)(135, 199, 150, 214, 176, 240, 181, 245, 192, 256, 185, 249, 170, 234, 143, 207)(136, 200, 153, 217, 177, 241, 161, 225, 180, 244, 155, 219, 178, 242, 154, 218)(138, 202, 160, 224, 186, 250, 167, 231, 190, 254, 173, 237, 182, 246, 159, 223)(140, 204, 162, 226, 188, 252, 165, 229, 189, 253, 175, 239, 183, 247, 157, 221)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 165)(14, 168)(15, 153)(16, 167)(17, 131)(18, 134)(19, 159)(20, 160)(21, 175)(22, 154)(23, 173)(24, 174)(25, 145)(26, 146)(27, 179)(28, 182)(29, 147)(30, 181)(31, 137)(32, 139)(33, 187)(34, 148)(35, 185)(36, 186)(37, 144)(38, 190)(39, 141)(40, 177)(41, 183)(42, 142)(43, 188)(44, 189)(45, 149)(46, 178)(47, 151)(48, 152)(49, 170)(50, 176)(51, 158)(52, 192)(53, 155)(54, 169)(55, 156)(56, 191)(57, 161)(58, 171)(59, 163)(60, 164)(61, 166)(62, 172)(63, 180)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1790
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 124>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 31, 95)(13, 77, 22, 86)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 37, 101)(18, 82, 27, 91)(19, 83, 24, 88)(21, 85, 42, 106)(23, 87, 41, 105)(25, 89, 48, 112)(29, 93, 40, 104)(32, 96, 51, 115)(33, 97, 54, 118)(34, 98, 52, 116)(35, 99, 50, 114)(36, 100, 53, 117)(38, 102, 49, 113)(39, 103, 46, 110)(43, 107, 58, 122)(44, 108, 61, 125)(45, 109, 59, 123)(47, 111, 60, 124)(55, 119, 62, 126)(56, 120, 63, 127)(57, 121, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 141, 205, 160, 224, 144, 208)(134, 198, 142, 206, 161, 225, 146, 210)(136, 200, 150, 214, 171, 235, 153, 217)(138, 202, 151, 215, 172, 236, 155, 219)(139, 203, 157, 221, 175, 239, 152, 216)(143, 207, 148, 212, 168, 232, 164, 228)(145, 209, 156, 220, 173, 237, 166, 230)(147, 211, 162, 226, 177, 241, 154, 218)(158, 222, 179, 243, 192, 256, 174, 238)(159, 223, 181, 245, 191, 255, 180, 244)(163, 227, 169, 233, 186, 250, 185, 249)(165, 229, 178, 242, 190, 254, 182, 246)(167, 231, 183, 247, 189, 253, 176, 240)(170, 234, 188, 252, 184, 248, 187, 251)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 150)(8, 152)(9, 153)(10, 130)(11, 158)(12, 160)(13, 148)(14, 131)(15, 163)(16, 164)(17, 155)(18, 133)(19, 134)(20, 169)(21, 171)(22, 139)(23, 135)(24, 174)(25, 175)(26, 146)(27, 137)(28, 138)(29, 179)(30, 180)(31, 182)(32, 168)(33, 140)(34, 142)(35, 184)(36, 185)(37, 145)(38, 172)(39, 147)(40, 186)(41, 187)(42, 189)(43, 157)(44, 149)(45, 151)(46, 191)(47, 192)(48, 154)(49, 161)(50, 156)(51, 159)(52, 190)(53, 165)(54, 166)(55, 162)(56, 167)(57, 188)(58, 170)(59, 183)(60, 176)(61, 177)(62, 173)(63, 178)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1798
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 124>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y1)^2, Y2 * Y1 * Y3^2 * Y2^-1 * Y1, Y3^8, Y2 * Y3^2 * Y1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1 * Y2, Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 23, 87)(15, 79, 28, 92)(16, 80, 25, 89)(18, 82, 36, 100)(19, 83, 24, 88)(21, 85, 42, 106)(22, 86, 41, 105)(27, 91, 47, 111)(29, 93, 40, 104)(32, 96, 54, 118)(33, 97, 51, 115)(34, 98, 52, 116)(35, 99, 50, 114)(37, 101, 48, 112)(38, 102, 53, 117)(39, 103, 46, 110)(43, 107, 61, 125)(44, 108, 58, 122)(45, 109, 59, 123)(49, 113, 60, 124)(55, 119, 62, 126)(56, 120, 63, 127)(57, 121, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 141, 205, 160, 224, 144, 208)(134, 198, 142, 206, 161, 225, 146, 210)(136, 200, 150, 214, 171, 235, 153, 217)(138, 202, 151, 215, 172, 236, 155, 219)(139, 203, 157, 221, 177, 241, 156, 220)(143, 207, 162, 226, 176, 240, 154, 218)(145, 209, 152, 216, 173, 237, 165, 229)(147, 211, 148, 212, 168, 232, 166, 230)(158, 222, 179, 243, 192, 256, 178, 242)(159, 223, 181, 245, 191, 255, 180, 244)(163, 227, 183, 247, 189, 253, 175, 239)(164, 228, 174, 238, 190, 254, 182, 246)(167, 231, 169, 233, 186, 250, 185, 249)(170, 234, 188, 252, 184, 248, 187, 251)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 150)(8, 152)(9, 153)(10, 130)(11, 151)(12, 160)(13, 162)(14, 131)(15, 163)(16, 154)(17, 164)(18, 133)(19, 134)(20, 142)(21, 171)(22, 173)(23, 135)(24, 174)(25, 145)(26, 175)(27, 137)(28, 138)(29, 172)(30, 139)(31, 179)(32, 176)(33, 140)(34, 183)(35, 184)(36, 181)(37, 182)(38, 146)(39, 147)(40, 161)(41, 148)(42, 186)(43, 165)(44, 149)(45, 190)(46, 191)(47, 188)(48, 189)(49, 155)(50, 156)(51, 157)(52, 158)(53, 192)(54, 159)(55, 187)(56, 167)(57, 166)(58, 168)(59, 169)(60, 185)(61, 170)(62, 180)(63, 178)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1799
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1798 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 124>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, R * Y3^-2 * Y1^-1 * Y2 * Y1 * R * Y2, (Y1^-1 * Y3^-1)^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3^-4 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 46, 110, 31, 95, 18, 82, 5, 69)(3, 67, 11, 75, 22, 86, 17, 81, 27, 91, 8, 72, 25, 89, 13, 77)(4, 68, 9, 73, 23, 87, 47, 111, 45, 109, 60, 124, 41, 105, 16, 80)(6, 70, 10, 74, 24, 88, 48, 112, 38, 102, 59, 123, 43, 107, 19, 83)(12, 76, 32, 96, 49, 113, 42, 106, 56, 120, 26, 90, 53, 117, 35, 99)(14, 78, 33, 97, 50, 114, 40, 104, 57, 121, 28, 92, 54, 118, 36, 100)(15, 79, 29, 93, 51, 115, 44, 108, 20, 84, 30, 94, 52, 116, 39, 103)(34, 98, 58, 122, 63, 127, 62, 126, 37, 101, 55, 119, 64, 128, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 156, 220)(138, 202, 154, 218)(139, 203, 159, 223)(141, 205, 149, 213)(143, 207, 165, 229)(144, 208, 168, 232)(146, 210, 153, 217)(147, 211, 170, 234)(148, 212, 162, 226)(151, 215, 178, 242)(152, 216, 177, 241)(155, 219, 174, 238)(157, 221, 186, 250)(158, 222, 183, 247)(160, 224, 187, 251)(161, 225, 188, 252)(163, 227, 176, 240)(164, 228, 175, 239)(166, 230, 184, 248)(167, 231, 189, 253)(169, 233, 182, 246)(171, 235, 181, 245)(172, 236, 190, 254)(173, 237, 185, 249)(179, 243, 192, 256)(180, 244, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 151)(8, 154)(9, 157)(10, 130)(11, 160)(12, 162)(13, 163)(14, 131)(15, 166)(16, 167)(17, 170)(18, 169)(19, 133)(20, 134)(21, 175)(22, 177)(23, 179)(24, 135)(25, 181)(26, 183)(27, 184)(28, 136)(29, 187)(30, 138)(31, 188)(32, 186)(33, 139)(34, 185)(35, 189)(36, 141)(37, 142)(38, 174)(39, 176)(40, 145)(41, 180)(42, 190)(43, 146)(44, 147)(45, 148)(46, 173)(47, 172)(48, 149)(49, 191)(50, 150)(51, 171)(52, 152)(53, 192)(54, 153)(55, 161)(56, 165)(57, 155)(58, 156)(59, 159)(60, 158)(61, 168)(62, 164)(63, 182)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1796
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1799 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 124>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^4, Y3^4 * Y1^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 39, 103, 35, 99, 16, 80, 5, 69)(3, 67, 8, 72, 20, 84, 40, 104, 58, 122, 54, 118, 29, 93, 12, 76)(4, 68, 9, 73, 21, 85, 41, 105, 38, 102, 50, 114, 34, 98, 15, 79)(6, 70, 10, 74, 22, 86, 42, 106, 32, 96, 49, 113, 36, 100, 17, 81)(11, 75, 23, 87, 43, 107, 59, 123, 57, 121, 64, 128, 53, 117, 28, 92)(13, 77, 24, 88, 44, 108, 60, 124, 51, 115, 63, 127, 55, 119, 30, 94)(14, 78, 25, 89, 45, 109, 37, 101, 18, 82, 26, 90, 46, 110, 33, 97)(27, 91, 47, 111, 61, 125, 56, 120, 31, 95, 48, 112, 62, 126, 52, 116)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 148, 212)(137, 201, 152, 216)(138, 202, 151, 215)(142, 206, 159, 223)(143, 207, 158, 222)(144, 208, 157, 221)(145, 209, 156, 220)(146, 210, 155, 219)(147, 211, 168, 232)(149, 213, 172, 236)(150, 214, 171, 235)(153, 217, 176, 240)(154, 218, 175, 239)(160, 224, 185, 249)(161, 225, 184, 248)(162, 226, 183, 247)(163, 227, 182, 246)(164, 228, 181, 245)(165, 229, 180, 244)(166, 230, 179, 243)(167, 231, 186, 250)(169, 233, 188, 252)(170, 234, 187, 251)(173, 237, 190, 254)(174, 238, 189, 253)(177, 241, 192, 256)(178, 242, 191, 255)
	L = (1, 132)(2, 137)(3, 139)(4, 142)(5, 143)(6, 129)(7, 149)(8, 151)(9, 153)(10, 130)(11, 155)(12, 156)(13, 131)(14, 160)(15, 161)(16, 162)(17, 133)(18, 134)(19, 169)(20, 171)(21, 173)(22, 135)(23, 175)(24, 136)(25, 177)(26, 138)(27, 179)(28, 180)(29, 181)(30, 140)(31, 141)(32, 167)(33, 170)(34, 174)(35, 178)(36, 144)(37, 145)(38, 146)(39, 166)(40, 187)(41, 165)(42, 147)(43, 189)(44, 148)(45, 164)(46, 150)(47, 191)(48, 152)(49, 163)(50, 154)(51, 186)(52, 188)(53, 190)(54, 192)(55, 157)(56, 158)(57, 159)(58, 185)(59, 184)(60, 168)(61, 183)(62, 172)(63, 182)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1797
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 18, 82)(7, 71, 21, 85)(8, 72, 24, 88)(10, 74, 28, 92)(11, 75, 31, 95)(13, 77, 35, 99)(14, 78, 23, 87)(16, 80, 37, 101)(17, 81, 26, 90)(19, 83, 40, 104)(20, 84, 43, 107)(22, 86, 47, 111)(25, 89, 49, 113)(27, 91, 51, 115)(29, 93, 41, 105)(30, 94, 48, 112)(32, 96, 44, 108)(33, 97, 50, 114)(34, 98, 46, 110)(36, 100, 42, 106)(38, 102, 45, 109)(39, 103, 58, 122)(52, 116, 59, 123)(53, 117, 60, 124)(54, 118, 64, 128)(55, 119, 63, 127)(56, 120, 62, 126)(57, 121, 61, 125)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 150, 214)(136, 200, 153, 217)(137, 201, 155, 219)(138, 202, 157, 221)(139, 203, 160, 224)(140, 204, 156, 220)(142, 206, 158, 222)(143, 207, 159, 223)(145, 209, 161, 225)(146, 210, 167, 231)(147, 211, 169, 233)(148, 212, 172, 236)(149, 213, 168, 232)(151, 215, 170, 234)(152, 216, 171, 235)(154, 218, 173, 237)(162, 226, 185, 249)(163, 227, 180, 244)(164, 228, 184, 248)(165, 229, 181, 245)(166, 230, 183, 247)(174, 238, 192, 256)(175, 239, 187, 251)(176, 240, 191, 255)(177, 241, 188, 252)(178, 242, 190, 254)(179, 243, 189, 253)(182, 246, 186, 250)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 147)(7, 151)(8, 130)(9, 150)(10, 158)(11, 131)(12, 154)(13, 164)(14, 152)(15, 162)(16, 146)(17, 133)(18, 141)(19, 170)(20, 134)(21, 145)(22, 176)(23, 143)(24, 174)(25, 137)(26, 136)(27, 180)(28, 178)(29, 183)(30, 177)(31, 182)(32, 179)(33, 139)(34, 140)(35, 173)(36, 171)(37, 185)(38, 144)(39, 187)(40, 166)(41, 190)(42, 165)(43, 189)(44, 186)(45, 148)(46, 149)(47, 161)(48, 159)(49, 192)(50, 153)(51, 157)(52, 191)(53, 155)(54, 156)(55, 188)(56, 160)(57, 163)(58, 169)(59, 184)(60, 167)(61, 168)(62, 181)(63, 172)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1805
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3^-3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-2 * Y1, Y2 * R * Y3 * Y1 * Y3^-1 * R * Y2^-1 * Y1, (Y2^-1 * Y3^-2 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 38, 102)(13, 77, 28, 92)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 36, 100)(17, 81, 30, 94)(19, 83, 32, 96)(20, 84, 35, 99)(21, 85, 34, 98)(22, 86, 33, 97)(23, 87, 29, 93)(25, 89, 51, 115)(37, 101, 50, 114)(39, 103, 57, 121)(40, 104, 54, 118)(41, 105, 53, 117)(42, 106, 59, 123)(43, 107, 58, 122)(44, 108, 52, 116)(45, 109, 56, 120)(46, 110, 55, 119)(47, 111, 61, 125)(48, 112, 60, 124)(49, 113, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 180, 244, 158, 222)(138, 202, 162, 226, 181, 245, 163, 227)(139, 203, 165, 229, 188, 252, 164, 228)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 190, 254, 159, 223)(146, 210, 157, 221, 183, 247, 177, 241)(151, 215, 152, 216, 178, 242, 175, 239)(154, 218, 182, 246, 160, 224, 184, 248)(155, 219, 185, 249, 161, 225, 186, 250)(166, 230, 189, 253, 192, 256, 187, 251)(174, 238, 179, 243, 176, 240, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 155)(12, 167)(13, 170)(14, 131)(15, 152)(16, 173)(17, 175)(18, 163)(19, 159)(20, 133)(21, 174)(22, 176)(23, 134)(24, 142)(25, 180)(26, 183)(27, 135)(28, 139)(29, 186)(30, 188)(31, 150)(32, 146)(33, 137)(34, 187)(35, 189)(36, 138)(37, 181)(38, 182)(39, 190)(40, 140)(41, 178)(42, 149)(43, 151)(44, 179)(45, 191)(46, 143)(47, 148)(48, 145)(49, 185)(50, 168)(51, 169)(52, 177)(53, 153)(54, 165)(55, 162)(56, 164)(57, 166)(58, 192)(59, 156)(60, 161)(61, 158)(62, 172)(63, 171)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1804
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, (Y1 * Y3^-1)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-3, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3^2 * Y2 * Y1 * Y2^-1 * Y1, Y3^3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * R * Y3^-2 * Y1 * R * Y2^-1 * Y1, (Y2^-1 * Y3^-2 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 38, 102)(13, 77, 26, 90)(14, 78, 34, 98)(15, 79, 28, 92)(16, 80, 36, 100)(17, 81, 32, 96)(19, 83, 30, 94)(20, 84, 33, 97)(21, 85, 27, 91)(22, 86, 35, 99)(23, 87, 29, 93)(25, 89, 51, 115)(37, 101, 50, 114)(39, 103, 56, 120)(40, 104, 54, 118)(41, 105, 53, 117)(42, 106, 57, 121)(43, 107, 52, 116)(44, 108, 55, 119)(45, 109, 59, 123)(46, 110, 58, 122)(47, 111, 61, 125)(48, 112, 60, 124)(49, 113, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 180, 244, 158, 222)(138, 202, 162, 226, 181, 245, 163, 227)(139, 203, 165, 229, 188, 252, 157, 221)(141, 205, 169, 233, 147, 211, 170, 234)(142, 206, 171, 235, 148, 212, 172, 236)(144, 208, 152, 216, 178, 242, 175, 239)(146, 210, 164, 228, 186, 250, 177, 241)(151, 215, 173, 237, 190, 254, 159, 223)(154, 218, 182, 246, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(166, 230, 189, 253, 192, 256, 187, 251)(174, 238, 179, 243, 176, 240, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 162)(12, 167)(13, 152)(14, 131)(15, 173)(16, 172)(17, 159)(18, 161)(19, 175)(20, 133)(21, 174)(22, 176)(23, 134)(24, 149)(25, 180)(26, 139)(27, 135)(28, 186)(29, 185)(30, 146)(31, 148)(32, 188)(33, 137)(34, 187)(35, 189)(36, 138)(37, 184)(38, 182)(39, 178)(40, 140)(41, 190)(42, 151)(43, 179)(44, 191)(45, 142)(46, 143)(47, 150)(48, 145)(49, 181)(50, 171)(51, 169)(52, 165)(53, 153)(54, 177)(55, 164)(56, 166)(57, 192)(58, 155)(59, 156)(60, 163)(61, 158)(62, 168)(63, 170)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1803
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 23, 87, 47, 111, 44, 108, 18, 82, 5, 69)(3, 67, 8, 72, 24, 88, 48, 112, 62, 126, 59, 123, 39, 103, 12, 76)(4, 68, 14, 78, 25, 89, 17, 81, 31, 95, 9, 73, 29, 93, 16, 80)(6, 70, 20, 84, 26, 90, 19, 83, 33, 97, 10, 74, 32, 96, 21, 85)(11, 75, 35, 99, 49, 113, 38, 102, 55, 119, 27, 91, 53, 117, 37, 101)(13, 77, 41, 105, 50, 114, 40, 104, 57, 121, 28, 92, 56, 120, 42, 106)(15, 79, 30, 94, 51, 115, 46, 110, 22, 86, 34, 98, 52, 116, 45, 109)(36, 100, 54, 118, 63, 127, 61, 125, 43, 107, 58, 122, 64, 128, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 152, 216)(137, 201, 156, 220)(138, 202, 155, 219)(142, 206, 169, 233)(143, 207, 171, 235)(144, 208, 170, 234)(145, 209, 168, 232)(146, 210, 167, 231)(147, 211, 166, 230)(148, 212, 163, 227)(149, 213, 165, 229)(150, 214, 164, 228)(151, 215, 176, 240)(153, 217, 178, 242)(154, 218, 177, 241)(157, 221, 184, 248)(158, 222, 186, 250)(159, 223, 185, 249)(160, 224, 181, 245)(161, 225, 183, 247)(162, 226, 182, 246)(172, 236, 187, 251)(173, 237, 189, 253)(174, 238, 188, 252)(175, 239, 190, 254)(179, 243, 192, 256)(180, 244, 191, 255)
	L = (1, 132)(2, 137)(3, 139)(4, 143)(5, 145)(6, 129)(7, 153)(8, 155)(9, 158)(10, 130)(11, 164)(12, 166)(13, 131)(14, 162)(15, 161)(16, 174)(17, 173)(18, 157)(19, 133)(20, 172)(21, 151)(22, 134)(23, 144)(24, 177)(25, 179)(26, 135)(27, 182)(28, 136)(29, 180)(30, 148)(31, 150)(32, 146)(33, 175)(34, 138)(35, 186)(36, 185)(37, 189)(38, 188)(39, 181)(40, 140)(41, 187)(42, 176)(43, 141)(44, 142)(45, 149)(46, 147)(47, 159)(48, 165)(49, 191)(50, 152)(51, 160)(52, 154)(53, 192)(54, 169)(55, 171)(56, 167)(57, 190)(58, 156)(59, 163)(60, 170)(61, 168)(62, 183)(63, 184)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1802
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1804 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^3 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2 * Y1^-1)^2, (Y3, Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 50, 114, 39, 103, 20, 84, 5, 69)(3, 67, 11, 75, 26, 90, 18, 82, 31, 95, 8, 72, 29, 93, 13, 77)(4, 68, 15, 79, 27, 91, 19, 83, 35, 99, 9, 73, 33, 97, 17, 81)(6, 70, 22, 86, 28, 92, 21, 85, 37, 101, 10, 74, 36, 100, 23, 87)(12, 76, 30, 94, 51, 115, 44, 108, 58, 122, 40, 104, 55, 119, 43, 107)(14, 78, 32, 96, 52, 116, 45, 109, 59, 123, 41, 105, 56, 120, 46, 110)(16, 80, 34, 98, 53, 117, 49, 113, 24, 88, 38, 102, 54, 118, 48, 112)(42, 106, 60, 124, 63, 127, 62, 126, 47, 111, 57, 121, 64, 128, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 167, 231)(141, 205, 153, 217)(143, 207, 169, 233)(144, 208, 175, 239)(145, 209, 173, 237)(147, 211, 174, 238)(148, 212, 157, 221)(149, 213, 171, 235)(150, 214, 168, 232)(151, 215, 172, 236)(152, 216, 170, 234)(155, 219, 180, 244)(156, 220, 179, 243)(159, 223, 178, 242)(161, 225, 184, 248)(162, 226, 188, 252)(163, 227, 187, 251)(164, 228, 183, 247)(165, 229, 186, 250)(166, 230, 185, 249)(176, 240, 189, 253)(177, 241, 190, 254)(181, 245, 192, 256)(182, 246, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 168)(12, 170)(13, 172)(14, 131)(15, 166)(16, 165)(17, 177)(18, 171)(19, 176)(20, 161)(21, 133)(22, 167)(23, 153)(24, 134)(25, 145)(26, 179)(27, 181)(28, 135)(29, 183)(30, 185)(31, 186)(32, 136)(33, 182)(34, 150)(35, 152)(36, 148)(37, 178)(38, 138)(39, 143)(40, 188)(41, 139)(42, 187)(43, 190)(44, 189)(45, 141)(46, 146)(47, 142)(48, 151)(49, 149)(50, 163)(51, 191)(52, 154)(53, 164)(54, 156)(55, 192)(56, 157)(57, 169)(58, 175)(59, 159)(60, 160)(61, 174)(62, 173)(63, 184)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1801
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 125>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (R * Y1)^2, Y1^4, (Y2 * R)^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3^-1)^2, Y3^2 * Y2^-2, Y2 * Y1 * Y3^2 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^5 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 52, 116, 19, 83)(6, 70, 23, 87, 30, 94, 24, 88)(7, 71, 27, 91, 37, 101, 10, 74)(9, 73, 32, 96, 20, 84, 35, 99)(11, 75, 38, 102, 22, 86, 39, 103)(12, 76, 42, 106, 57, 121, 29, 93)(14, 78, 33, 97, 54, 118, 46, 110)(15, 79, 47, 111, 59, 123, 36, 100)(17, 81, 51, 115, 62, 126, 41, 105)(21, 85, 31, 95, 60, 124, 45, 109)(25, 89, 40, 104, 58, 122, 48, 112)(26, 90, 53, 117, 55, 119, 44, 108)(34, 98, 63, 127, 49, 113, 56, 120)(43, 107, 61, 125, 50, 114, 64, 128)(129, 193, 131, 195, 142, 206, 167, 231, 192, 256, 163, 227, 153, 217, 134, 198)(130, 194, 137, 201, 161, 225, 151, 215, 171, 235, 141, 205, 168, 232, 139, 203)(132, 196, 143, 207, 173, 237, 191, 255, 170, 234, 154, 218, 135, 199, 145, 209)(133, 197, 148, 212, 174, 238, 152, 216, 178, 242, 144, 208, 176, 240, 150, 214)(136, 200, 156, 220, 182, 246, 166, 230, 189, 253, 160, 224, 186, 250, 158, 222)(138, 202, 162, 226, 147, 211, 172, 236, 188, 252, 169, 233, 140, 204, 164, 228)(146, 210, 181, 245, 149, 213, 179, 243, 185, 249, 175, 239, 155, 219, 177, 241)(157, 221, 183, 247, 165, 229, 190, 254, 180, 244, 187, 251, 159, 223, 184, 248)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 149)(6, 145)(7, 129)(8, 157)(9, 162)(10, 161)(11, 164)(12, 130)(13, 169)(14, 173)(15, 167)(16, 177)(17, 131)(18, 133)(19, 171)(20, 179)(21, 174)(22, 181)(23, 172)(24, 175)(25, 135)(26, 134)(27, 176)(28, 183)(29, 182)(30, 184)(31, 136)(32, 187)(33, 147)(34, 151)(35, 154)(36, 137)(37, 189)(38, 190)(39, 191)(40, 140)(41, 139)(42, 153)(43, 188)(44, 141)(45, 192)(46, 185)(47, 144)(48, 146)(49, 150)(50, 155)(51, 152)(52, 186)(53, 148)(54, 165)(55, 166)(56, 156)(57, 178)(58, 159)(59, 158)(60, 168)(61, 180)(62, 160)(63, 163)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1800
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^4, (Y2 * Y1 * Y3 * Y1)^2, (R * Y2 * Y1 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1, (Y3 * Y2 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 27, 91)(18, 82, 36, 100)(19, 83, 24, 88)(20, 84, 39, 103)(22, 86, 43, 107)(23, 87, 44, 108)(26, 90, 49, 113)(28, 92, 52, 116)(30, 94, 56, 120)(32, 96, 54, 118)(33, 97, 47, 111)(34, 98, 46, 110)(35, 99, 53, 117)(37, 101, 50, 114)(38, 102, 55, 119)(40, 104, 48, 112)(41, 105, 45, 109)(42, 106, 51, 115)(57, 121, 64, 128)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 61, 125)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 161, 225)(145, 209, 162, 226)(148, 212, 168, 232)(149, 213, 169, 233)(150, 214, 165, 229)(152, 216, 174, 238)(153, 217, 175, 239)(156, 220, 181, 245)(157, 221, 182, 246)(158, 222, 178, 242)(159, 223, 184, 248)(160, 224, 185, 249)(163, 227, 187, 251)(164, 228, 188, 252)(166, 230, 180, 244)(167, 231, 179, 243)(170, 234, 186, 250)(171, 235, 172, 236)(173, 237, 189, 253)(176, 240, 191, 255)(177, 241, 192, 256)(183, 247, 190, 254)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 160)(16, 135)(17, 163)(18, 165)(19, 166)(20, 137)(21, 170)(22, 138)(23, 173)(24, 139)(25, 176)(26, 178)(27, 179)(28, 141)(29, 183)(30, 142)(31, 174)(32, 143)(33, 172)(34, 186)(35, 145)(36, 180)(37, 146)(38, 147)(39, 177)(40, 188)(41, 187)(42, 149)(43, 185)(44, 161)(45, 151)(46, 159)(47, 190)(48, 153)(49, 167)(50, 154)(51, 155)(52, 164)(53, 192)(54, 191)(55, 157)(56, 189)(57, 171)(58, 162)(59, 169)(60, 168)(61, 184)(62, 175)(63, 182)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1817
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^4, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 5, 69)(4, 68, 8, 72)(6, 70, 11, 75)(7, 71, 13, 77)(9, 73, 15, 79)(10, 74, 18, 82)(12, 76, 20, 84)(14, 78, 23, 87)(16, 80, 27, 91)(17, 81, 22, 86)(19, 83, 28, 92)(21, 85, 32, 96)(24, 88, 34, 98)(25, 89, 30, 94)(26, 90, 35, 99)(29, 93, 38, 102)(31, 95, 39, 103)(33, 97, 41, 105)(36, 100, 44, 108)(37, 101, 45, 109)(40, 104, 48, 112)(42, 106, 50, 114)(43, 107, 51, 115)(46, 110, 54, 118)(47, 111, 55, 119)(49, 113, 57, 121)(52, 116, 56, 120)(53, 117, 60, 124)(58, 122, 61, 125)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 137, 201)(134, 198, 140, 204)(135, 199, 142, 206)(136, 200, 143, 207)(138, 202, 147, 211)(139, 203, 148, 212)(141, 205, 151, 215)(144, 208, 152, 216)(145, 209, 153, 217)(146, 210, 156, 220)(149, 213, 157, 221)(150, 214, 158, 222)(154, 218, 161, 225)(155, 219, 162, 226)(159, 223, 165, 229)(160, 224, 166, 230)(163, 227, 169, 233)(164, 228, 171, 235)(167, 231, 173, 237)(168, 232, 175, 239)(170, 234, 177, 241)(172, 236, 179, 243)(174, 238, 181, 245)(176, 240, 183, 247)(178, 242, 185, 249)(180, 244, 186, 250)(182, 246, 188, 252)(184, 248, 189, 253)(187, 251, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 134)(3, 135)(4, 129)(5, 138)(6, 130)(7, 131)(8, 144)(9, 145)(10, 133)(11, 149)(12, 150)(13, 152)(14, 153)(15, 154)(16, 136)(17, 137)(18, 157)(19, 158)(20, 159)(21, 139)(22, 140)(23, 161)(24, 141)(25, 142)(26, 143)(27, 164)(28, 165)(29, 146)(30, 147)(31, 148)(32, 168)(33, 151)(34, 170)(35, 171)(36, 155)(37, 156)(38, 174)(39, 175)(40, 160)(41, 177)(42, 162)(43, 163)(44, 180)(45, 181)(46, 166)(47, 167)(48, 184)(49, 169)(50, 186)(51, 187)(52, 172)(53, 173)(54, 189)(55, 190)(56, 176)(57, 191)(58, 178)(59, 179)(60, 192)(61, 182)(62, 183)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1816
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y2 * Y3 * Y1 * Y2 * Y1, (Y3 * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 20, 84)(12, 76, 22, 86)(13, 77, 18, 82)(15, 79, 19, 83)(23, 87, 33, 97)(24, 88, 35, 99)(25, 89, 30, 94)(26, 90, 36, 100)(27, 91, 34, 98)(28, 92, 37, 101)(29, 93, 39, 103)(31, 95, 40, 104)(32, 96, 38, 102)(41, 105, 49, 113)(42, 106, 51, 115)(43, 107, 52, 116)(44, 108, 50, 114)(45, 109, 53, 117)(46, 110, 55, 119)(47, 111, 56, 120)(48, 112, 54, 118)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 153, 217, 141, 205)(135, 199, 147, 211, 158, 222, 148, 212)(137, 201, 151, 215, 142, 206, 152, 216)(139, 203, 154, 218, 143, 207, 155, 219)(144, 208, 156, 220, 149, 213, 157, 221)(146, 210, 159, 223, 150, 214, 160, 224)(161, 225, 169, 233, 163, 227, 170, 234)(162, 226, 171, 235, 164, 228, 172, 236)(165, 229, 173, 237, 167, 231, 174, 238)(166, 230, 175, 239, 168, 232, 176, 240)(177, 241, 185, 249, 179, 243, 186, 250)(178, 242, 187, 251, 180, 244, 188, 252)(181, 245, 189, 253, 183, 247, 190, 254)(182, 246, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 148)(10, 153)(11, 131)(12, 149)(13, 144)(14, 147)(15, 133)(16, 141)(17, 158)(18, 134)(19, 142)(20, 137)(21, 140)(22, 136)(23, 162)(24, 164)(25, 138)(26, 163)(27, 161)(28, 166)(29, 168)(30, 145)(31, 167)(32, 165)(33, 155)(34, 151)(35, 154)(36, 152)(37, 160)(38, 156)(39, 159)(40, 157)(41, 178)(42, 180)(43, 179)(44, 177)(45, 182)(46, 184)(47, 183)(48, 181)(49, 172)(50, 169)(51, 171)(52, 170)(53, 176)(54, 173)(55, 175)(56, 174)(57, 192)(58, 191)(59, 190)(60, 189)(61, 188)(62, 187)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1813
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^4, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 8, 72)(4, 68, 7, 71)(5, 69, 6, 70)(9, 73, 14, 78)(10, 74, 18, 82)(11, 75, 17, 81)(12, 76, 16, 80)(13, 77, 15, 79)(19, 83, 24, 88)(20, 84, 25, 89)(21, 85, 26, 90)(22, 86, 28, 92)(23, 87, 27, 91)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 42, 106)(38, 102, 41, 105)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 50, 114)(46, 110, 49, 113)(47, 111, 52, 116)(48, 112, 51, 115)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 60, 124)(56, 120, 59, 123)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 147, 211, 140, 204)(135, 199, 144, 208, 152, 216, 145, 209)(138, 202, 148, 212, 141, 205, 149, 213)(143, 207, 153, 217, 146, 210, 154, 218)(150, 214, 159, 223, 151, 215, 160, 224)(155, 219, 163, 227, 156, 220, 164, 228)(157, 221, 165, 229, 158, 222, 166, 230)(161, 225, 169, 233, 162, 226, 170, 234)(167, 231, 175, 239, 168, 232, 176, 240)(171, 235, 179, 243, 172, 236, 180, 244)(173, 237, 181, 245, 174, 238, 182, 246)(177, 241, 185, 249, 178, 242, 186, 250)(183, 247, 189, 253, 184, 248, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 150)(12, 151)(13, 133)(14, 152)(15, 134)(16, 155)(17, 156)(18, 136)(19, 137)(20, 157)(21, 158)(22, 139)(23, 140)(24, 142)(25, 161)(26, 162)(27, 144)(28, 145)(29, 148)(30, 149)(31, 167)(32, 168)(33, 153)(34, 154)(35, 171)(36, 172)(37, 173)(38, 174)(39, 159)(40, 160)(41, 177)(42, 178)(43, 163)(44, 164)(45, 165)(46, 166)(47, 183)(48, 184)(49, 169)(50, 170)(51, 187)(52, 188)(53, 189)(54, 190)(55, 175)(56, 176)(57, 191)(58, 192)(59, 179)(60, 180)(61, 181)(62, 182)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1812
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y2^-1 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^3 * Y2^-2 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (Y1 * Y2^-1 * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^2 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, (Y2 * Y3 * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1 * Y1)^2, (Y2^-1 * Y3 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 34, 98)(20, 84, 28, 92)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 59, 123)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 60, 124)(47, 111, 54, 118)(48, 112, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 151, 215, 174, 238)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 164, 228, 186, 250)(175, 239, 189, 253, 176, 240, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 156)(19, 174)(20, 133)(21, 159)(22, 152)(23, 134)(24, 145)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 143)(32, 186)(33, 137)(34, 146)(35, 139)(36, 138)(37, 183)(38, 181)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 178)(45, 177)(46, 142)(47, 150)(48, 149)(49, 171)(50, 169)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 166)(57, 165)(58, 155)(59, 163)(60, 162)(61, 173)(62, 172)(63, 185)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1814
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3^4 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3, Y2^-1)^2, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 29, 93)(13, 77, 28, 92)(14, 78, 31, 95)(15, 79, 32, 96)(16, 80, 30, 94)(17, 81, 24, 88)(18, 82, 23, 87)(19, 83, 27, 91)(20, 84, 25, 89)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 48, 112)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(57, 121, 63, 127)(58, 122, 62, 126)(59, 123, 61, 125)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 149, 213, 168, 232)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 160, 224, 180, 244)(169, 233, 185, 249, 171, 235, 187, 251)(170, 234, 186, 250, 172, 236, 188, 252)(181, 245, 189, 253, 183, 247, 191, 255)(182, 246, 190, 254, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 169)(15, 162)(16, 171)(17, 168)(18, 133)(19, 170)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 181)(26, 174)(27, 183)(28, 180)(29, 137)(30, 182)(31, 184)(32, 138)(33, 149)(34, 139)(35, 185)(36, 146)(37, 187)(38, 186)(39, 188)(40, 141)(41, 148)(42, 142)(43, 147)(44, 144)(45, 160)(46, 150)(47, 189)(48, 157)(49, 191)(50, 190)(51, 192)(52, 152)(53, 159)(54, 153)(55, 158)(56, 155)(57, 167)(58, 163)(59, 166)(60, 165)(61, 179)(62, 175)(63, 178)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1815
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-1 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3)^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 9, 73, 21, 85, 39, 103, 47, 111, 31, 95, 16, 80, 7, 71)(4, 68, 11, 75, 25, 89, 44, 108, 48, 112, 34, 98, 17, 81, 12, 76)(8, 72, 19, 83, 13, 77, 28, 92, 46, 110, 50, 114, 32, 96, 20, 84)(10, 74, 23, 87, 33, 97, 51, 115, 59, 123, 56, 120, 40, 104, 24, 88)(18, 82, 35, 99, 49, 113, 60, 124, 55, 119, 41, 105, 22, 86, 36, 100)(26, 90, 37, 101, 27, 91, 38, 102, 52, 116, 61, 125, 58, 122, 45, 109)(42, 106, 54, 118, 43, 107, 57, 121, 63, 127, 64, 128, 62, 126, 53, 117)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 137, 201)(134, 198, 144, 208)(136, 200, 146, 210)(139, 203, 152, 216)(140, 204, 151, 215)(141, 205, 150, 214)(142, 206, 149, 213)(143, 207, 159, 223)(145, 209, 161, 225)(147, 211, 164, 228)(148, 212, 163, 227)(153, 217, 168, 232)(154, 218, 171, 235)(155, 219, 170, 234)(156, 220, 169, 233)(157, 221, 167, 231)(158, 222, 175, 239)(160, 224, 177, 241)(162, 226, 179, 243)(165, 229, 182, 246)(166, 230, 181, 245)(172, 236, 184, 248)(173, 237, 185, 249)(174, 238, 183, 247)(176, 240, 187, 251)(178, 242, 188, 252)(180, 244, 190, 254)(186, 250, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 141)(6, 145)(7, 146)(8, 130)(9, 150)(10, 131)(11, 154)(12, 155)(13, 133)(14, 153)(15, 160)(16, 161)(17, 134)(18, 135)(19, 165)(20, 166)(21, 168)(22, 137)(23, 170)(24, 171)(25, 142)(26, 139)(27, 140)(28, 173)(29, 174)(30, 176)(31, 177)(32, 143)(33, 144)(34, 180)(35, 181)(36, 182)(37, 147)(38, 148)(39, 183)(40, 149)(41, 185)(42, 151)(43, 152)(44, 186)(45, 156)(46, 157)(47, 187)(48, 158)(49, 159)(50, 189)(51, 190)(52, 162)(53, 163)(54, 164)(55, 167)(56, 191)(57, 169)(58, 172)(59, 175)(60, 192)(61, 178)(62, 179)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1809
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y1^-2 * Y2 * Y1^2 * Y2, (Y1^-2 * Y3)^2, (Y3 * Y1)^4, (Y1 * Y2 * Y1^-1 * Y2)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 38, 102, 52, 116, 48, 112, 30, 94, 11, 75)(4, 68, 12, 76, 31, 95, 49, 113, 53, 117, 40, 104, 19, 83, 13, 77)(7, 71, 20, 84, 36, 100, 54, 118, 50, 114, 32, 96, 14, 78, 22, 86)(8, 72, 23, 87, 15, 79, 33, 97, 51, 115, 56, 120, 37, 101, 24, 88)(10, 74, 27, 91, 45, 109, 59, 123, 62, 126, 55, 119, 39, 103, 21, 85)(25, 89, 41, 105, 57, 121, 63, 127, 60, 124, 46, 110, 28, 92, 43, 107)(26, 90, 44, 108, 29, 93, 47, 111, 61, 125, 64, 128, 58, 122, 42, 106)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 156, 220)(140, 204, 157, 221)(141, 205, 154, 218)(143, 207, 155, 219)(144, 208, 158, 222)(145, 209, 164, 228)(147, 211, 167, 231)(148, 212, 169, 233)(150, 214, 171, 235)(151, 215, 172, 236)(152, 216, 170, 234)(159, 223, 173, 237)(160, 224, 174, 238)(161, 225, 175, 239)(162, 226, 178, 242)(163, 227, 180, 244)(165, 229, 183, 247)(166, 230, 185, 249)(168, 232, 186, 250)(176, 240, 188, 252)(177, 241, 189, 253)(179, 243, 187, 251)(181, 245, 190, 254)(182, 246, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 157)(12, 156)(13, 153)(14, 155)(15, 133)(16, 159)(17, 165)(18, 167)(19, 134)(20, 170)(21, 135)(22, 172)(23, 171)(24, 169)(25, 141)(26, 137)(27, 142)(28, 140)(29, 139)(30, 173)(31, 144)(32, 175)(33, 174)(34, 179)(35, 181)(36, 183)(37, 145)(38, 186)(39, 146)(40, 185)(41, 152)(42, 148)(43, 151)(44, 150)(45, 158)(46, 161)(47, 160)(48, 189)(49, 188)(50, 187)(51, 162)(52, 190)(53, 163)(54, 192)(55, 164)(56, 191)(57, 168)(58, 166)(59, 178)(60, 177)(61, 176)(62, 180)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1808
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1 * Y2)^2, Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y2 * Y1 * Y2, Y1 * Y3^-2 * Y2 * Y1^-1 * Y2, (Y1^-1 * R * Y2)^2, (Y2 * Y1^-2)^2, Y3 * Y1 * Y3^2 * Y1 * Y3 * Y1^2, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 23, 87, 46, 110, 42, 106, 19, 83, 5, 69)(3, 67, 11, 75, 35, 99, 57, 121, 61, 125, 50, 114, 24, 88, 13, 77)(4, 68, 15, 79, 25, 89, 52, 116, 44, 108, 20, 84, 33, 97, 10, 74)(6, 70, 18, 82, 26, 90, 9, 73, 31, 95, 48, 112, 43, 107, 21, 85)(8, 72, 27, 91, 17, 81, 38, 102, 60, 124, 62, 126, 47, 111, 29, 93)(12, 76, 37, 101, 58, 122, 64, 128, 56, 120, 41, 105, 49, 113, 28, 92)(14, 78, 40, 104, 55, 119, 36, 100, 59, 123, 63, 127, 51, 115, 30, 94)(16, 80, 32, 96, 53, 117, 45, 109, 22, 86, 34, 98, 54, 118, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 152, 216)(137, 201, 158, 222)(138, 202, 156, 220)(139, 203, 162, 226)(141, 205, 167, 231)(143, 207, 169, 233)(144, 208, 157, 221)(146, 210, 168, 232)(147, 211, 163, 227)(148, 212, 165, 229)(149, 213, 164, 228)(150, 214, 166, 230)(151, 215, 175, 239)(153, 217, 179, 243)(154, 218, 177, 241)(155, 219, 182, 246)(159, 223, 184, 248)(160, 224, 178, 242)(161, 225, 183, 247)(170, 234, 188, 252)(171, 235, 186, 250)(172, 236, 187, 251)(173, 237, 185, 249)(174, 238, 189, 253)(176, 240, 191, 255)(180, 244, 192, 256)(181, 245, 190, 254)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 153)(8, 156)(9, 160)(10, 130)(11, 164)(12, 166)(13, 168)(14, 131)(15, 151)(16, 159)(17, 165)(18, 167)(19, 161)(20, 133)(21, 162)(22, 134)(23, 176)(24, 177)(25, 181)(26, 135)(27, 183)(28, 139)(29, 142)(30, 136)(31, 174)(32, 180)(33, 182)(34, 138)(35, 186)(36, 188)(37, 185)(38, 187)(39, 143)(40, 145)(41, 141)(42, 149)(43, 147)(44, 150)(45, 148)(46, 172)(47, 169)(48, 173)(49, 155)(50, 158)(51, 152)(52, 170)(53, 171)(54, 154)(55, 163)(56, 157)(57, 191)(58, 190)(59, 189)(60, 192)(61, 184)(62, 179)(63, 175)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1810
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1^-3, Y3 * Y1 * Y3^-3 * Y1, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 43, 107, 39, 103, 17, 81, 5, 69)(3, 67, 11, 75, 31, 95, 55, 119, 60, 124, 44, 108, 22, 86, 8, 72)(4, 68, 14, 78, 23, 87, 48, 112, 41, 105, 18, 82, 29, 93, 10, 74)(6, 70, 16, 80, 24, 88, 9, 73, 27, 91, 45, 109, 40, 104, 19, 83)(12, 76, 34, 98, 56, 120, 61, 125, 53, 117, 26, 90, 46, 110, 33, 97)(13, 77, 25, 89, 51, 115, 32, 96, 57, 121, 63, 127, 47, 111, 36, 100)(15, 79, 28, 92, 49, 113, 42, 106, 20, 84, 30, 94, 50, 114, 38, 102)(35, 99, 58, 122, 64, 128, 54, 118, 37, 101, 59, 123, 62, 126, 52, 116)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 154, 218)(138, 202, 153, 217)(142, 206, 164, 228)(143, 207, 165, 229)(144, 208, 161, 225)(145, 209, 159, 223)(146, 210, 160, 224)(147, 211, 162, 226)(148, 212, 163, 227)(149, 213, 172, 236)(151, 215, 175, 239)(152, 216, 174, 238)(155, 219, 181, 245)(156, 220, 182, 246)(157, 221, 179, 243)(158, 222, 180, 244)(166, 230, 187, 251)(167, 231, 183, 247)(168, 232, 184, 248)(169, 233, 185, 249)(170, 234, 186, 250)(171, 235, 188, 252)(173, 237, 189, 253)(176, 240, 191, 255)(177, 241, 192, 256)(178, 242, 190, 254)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 151)(8, 153)(9, 156)(10, 130)(11, 160)(12, 163)(13, 131)(14, 149)(15, 155)(16, 166)(17, 157)(18, 133)(19, 158)(20, 134)(21, 173)(22, 174)(23, 177)(24, 135)(25, 180)(26, 136)(27, 171)(28, 176)(29, 178)(30, 138)(31, 184)(32, 186)(33, 139)(34, 183)(35, 185)(36, 187)(37, 141)(38, 142)(39, 147)(40, 145)(41, 148)(42, 146)(43, 169)(44, 164)(45, 170)(46, 190)(47, 150)(48, 167)(49, 168)(50, 152)(51, 159)(52, 162)(53, 165)(54, 154)(55, 191)(56, 192)(57, 188)(58, 189)(59, 161)(60, 181)(61, 172)(62, 179)(63, 182)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1811
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y1)^2, Y3^-3 * Y2 * Y3 * Y2, Y2^-1 * Y1^-1 * Y2 * Y3^-2 * Y1, Y1^-1 * R * Y2^-1 * R * Y2^-1 * Y1^-1, Y1^-1 * Y3^-2 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-3, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-5 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 27, 91, 11, 75)(4, 68, 17, 81, 28, 92, 12, 76)(6, 70, 20, 84, 29, 93, 9, 73)(7, 71, 21, 85, 30, 94, 10, 74)(14, 78, 37, 101, 19, 83, 40, 104)(15, 79, 38, 102, 18, 82, 39, 103)(16, 80, 36, 100, 22, 86, 33, 97)(23, 87, 31, 95, 26, 90, 35, 99)(24, 88, 32, 96, 25, 89, 34, 98)(41, 105, 56, 120, 44, 108, 53, 117)(42, 106, 55, 119, 43, 107, 54, 118)(45, 109, 52, 116, 48, 112, 49, 113)(46, 110, 51, 115, 47, 111, 50, 114)(57, 121, 61, 125, 60, 124, 64, 128)(58, 122, 63, 127, 59, 123, 62, 126)(129, 193, 131, 195, 142, 206, 169, 233, 185, 249, 173, 237, 151, 215, 134, 198)(130, 194, 137, 201, 159, 223, 177, 241, 189, 253, 181, 245, 165, 229, 139, 203)(132, 196, 146, 210, 170, 234, 187, 251, 175, 239, 152, 216, 158, 222, 144, 208)(133, 197, 148, 212, 163, 227, 180, 244, 192, 256, 184, 248, 168, 232, 141, 205)(135, 199, 150, 214, 156, 220, 143, 207, 171, 235, 186, 250, 174, 238, 153, 217)(136, 200, 155, 219, 147, 211, 172, 236, 188, 252, 176, 240, 154, 218, 157, 221)(138, 202, 162, 226, 178, 242, 191, 255, 183, 247, 166, 230, 145, 209, 161, 225)(140, 204, 164, 228, 149, 213, 160, 224, 179, 243, 190, 254, 182, 246, 167, 231)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 149)(6, 150)(7, 129)(8, 156)(9, 160)(10, 163)(11, 164)(12, 130)(13, 161)(14, 170)(15, 172)(16, 131)(17, 133)(18, 169)(19, 171)(20, 162)(21, 159)(22, 155)(23, 158)(24, 134)(25, 157)(26, 135)(27, 146)(28, 142)(29, 144)(30, 136)(31, 178)(32, 180)(33, 137)(34, 177)(35, 179)(36, 148)(37, 145)(38, 139)(39, 141)(40, 140)(41, 186)(42, 188)(43, 185)(44, 187)(45, 153)(46, 151)(47, 154)(48, 152)(49, 190)(50, 192)(51, 189)(52, 191)(53, 167)(54, 165)(55, 168)(56, 166)(57, 175)(58, 176)(59, 173)(60, 174)(61, 183)(62, 184)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1807
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 128>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^4, (Y2^-1 * Y3)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^4 * Y1^2, (Y2^-2 * Y1^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1, Y2^-1, Y1^-1) ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 22, 86, 14, 78)(4, 68, 15, 79, 23, 87, 9, 73)(6, 70, 19, 83, 24, 88, 20, 84)(8, 72, 25, 89, 17, 81, 28, 92)(10, 74, 30, 94, 18, 82, 31, 95)(12, 76, 26, 90, 21, 85, 32, 96)(13, 77, 37, 101, 45, 109, 34, 98)(16, 80, 42, 106, 46, 110, 44, 108)(27, 91, 51, 115, 41, 105, 48, 112)(29, 93, 54, 118, 40, 104, 56, 120)(33, 97, 47, 111, 38, 102, 52, 116)(35, 99, 49, 113, 39, 103, 53, 117)(36, 100, 55, 119, 43, 107, 50, 114)(57, 121, 64, 128, 60, 124, 61, 125)(58, 122, 63, 127, 59, 123, 62, 126)(129, 193, 131, 195, 140, 204, 152, 216, 135, 199, 150, 214, 149, 213, 134, 198)(130, 194, 136, 200, 154, 218, 146, 210, 133, 197, 145, 209, 160, 224, 138, 202)(132, 196, 144, 208, 171, 235, 173, 237, 151, 215, 174, 238, 164, 228, 141, 205)(137, 201, 157, 221, 183, 247, 169, 233, 143, 207, 168, 232, 178, 242, 155, 219)(139, 203, 161, 225, 148, 212, 167, 231, 142, 206, 166, 230, 147, 211, 163, 227)(153, 217, 175, 239, 159, 223, 181, 245, 156, 220, 180, 244, 158, 222, 177, 241)(162, 226, 186, 250, 172, 236, 188, 252, 165, 229, 187, 251, 170, 234, 185, 249)(176, 240, 190, 254, 184, 248, 192, 256, 179, 243, 191, 255, 182, 246, 189, 253)
	L = (1, 132)(2, 137)(3, 141)(4, 129)(5, 143)(6, 144)(7, 151)(8, 155)(9, 130)(10, 157)(11, 162)(12, 164)(13, 131)(14, 165)(15, 133)(16, 134)(17, 169)(18, 168)(19, 172)(20, 170)(21, 171)(22, 173)(23, 135)(24, 174)(25, 176)(26, 178)(27, 136)(28, 179)(29, 138)(30, 184)(31, 182)(32, 183)(33, 185)(34, 139)(35, 186)(36, 140)(37, 142)(38, 188)(39, 187)(40, 146)(41, 145)(42, 148)(43, 149)(44, 147)(45, 150)(46, 152)(47, 189)(48, 153)(49, 190)(50, 154)(51, 156)(52, 192)(53, 191)(54, 159)(55, 160)(56, 158)(57, 161)(58, 163)(59, 167)(60, 166)(61, 175)(62, 177)(63, 181)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1806
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y2 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 43, 107)(27, 91, 32, 96)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 33, 97)(35, 99, 52, 116)(41, 105, 53, 117)(42, 106, 56, 120)(44, 108, 50, 114)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 51, 115)(48, 112, 55, 119)(49, 113, 54, 118)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 176, 240)(157, 221, 177, 241)(160, 224, 178, 242)(161, 225, 179, 243)(162, 226, 181, 245)(164, 228, 184, 248)(166, 230, 185, 249)(167, 231, 186, 250)(171, 235, 187, 251)(173, 237, 188, 252)(174, 238, 189, 253)(180, 244, 190, 254)(182, 246, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 178)(32, 180)(33, 143)(34, 182)(35, 145)(36, 183)(37, 185)(38, 148)(39, 146)(40, 186)(41, 187)(42, 149)(43, 151)(44, 188)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 190)(51, 159)(52, 161)(53, 191)(54, 164)(55, 162)(56, 192)(57, 168)(58, 165)(59, 170)(60, 175)(61, 172)(62, 179)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1823
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(35, 99, 48, 112)(36, 100, 47, 111)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 55, 119)(40, 104, 56, 120)(41, 105, 54, 118)(42, 106, 53, 117)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 189, 253, 174, 238, 188, 252)(184, 248, 192, 256, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 157)(19, 173)(20, 133)(21, 151)(22, 158)(23, 143)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 145)(31, 185)(32, 137)(33, 139)(34, 146)(35, 181)(36, 179)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 176)(43, 175)(44, 149)(45, 148)(46, 150)(47, 169)(48, 167)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 164)(55, 163)(56, 161)(57, 160)(58, 162)(59, 166)(60, 170)(61, 171)(62, 178)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1821
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
Aut   = $<128, 1997>$ (small group id <128, 1997>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 29, 93)(15, 79, 25, 89)(16, 80, 30, 94)(17, 81, 28, 92)(18, 82, 27, 91)(19, 83, 24, 88)(20, 84, 26, 90)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 46, 110)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 54, 118)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 186, 250, 169, 233, 184, 248)(167, 231, 187, 251, 170, 234, 185, 249)(178, 242, 191, 255, 181, 245, 189, 253)(179, 243, 192, 256, 182, 246, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1822
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y3 * Y1^3 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y1^-1 * R * Y2)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 49, 113, 46, 110, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 51, 115, 63, 127, 61, 125, 41, 105, 13, 77)(4, 68, 15, 79, 36, 100, 10, 74, 35, 99, 21, 85, 26, 90, 17, 81)(6, 70, 22, 86, 34, 98, 9, 73, 32, 96, 19, 83, 27, 91, 23, 87)(8, 72, 28, 92, 50, 114, 64, 128, 62, 126, 48, 112, 18, 82, 30, 94)(12, 76, 37, 101, 56, 120, 29, 93, 55, 119, 42, 106, 52, 116, 38, 102)(14, 78, 43, 107, 58, 122, 31, 95, 57, 121, 40, 104, 53, 117, 44, 108)(16, 80, 33, 97, 54, 118, 45, 109, 59, 123, 47, 111, 60, 124, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 161, 225)(141, 205, 167, 231)(143, 207, 165, 229)(144, 208, 158, 222)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 171, 235)(151, 215, 172, 236)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 180, 244)(156, 220, 182, 246)(160, 224, 183, 247)(162, 226, 184, 248)(163, 227, 185, 249)(164, 228, 186, 250)(173, 237, 179, 243)(174, 238, 190, 254)(175, 239, 189, 253)(176, 240, 188, 252)(177, 241, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 159)(12, 158)(13, 168)(14, 131)(15, 152)(16, 134)(17, 174)(18, 170)(19, 167)(20, 164)(21, 133)(22, 173)(23, 175)(24, 150)(25, 180)(26, 182)(27, 135)(28, 181)(29, 139)(30, 142)(31, 136)(32, 177)(33, 138)(34, 148)(35, 187)(36, 188)(37, 179)(38, 189)(39, 149)(40, 146)(41, 184)(42, 141)(43, 178)(44, 190)(45, 143)(46, 151)(47, 145)(48, 186)(49, 163)(50, 165)(51, 171)(52, 156)(53, 153)(54, 155)(55, 192)(56, 176)(57, 191)(58, 169)(59, 160)(60, 162)(61, 172)(62, 166)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1819
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
Aut   = $<128, 1997>$ (small group id <128, 1997>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, Y1^3 * Y2 * Y1^-1 * Y2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 48, 112, 41, 105, 20, 84, 5, 69)(3, 67, 11, 75, 30, 94, 8, 72, 28, 92, 18, 82, 25, 89, 13, 77)(4, 68, 15, 79, 36, 100, 10, 74, 35, 99, 21, 85, 26, 90, 17, 81)(6, 70, 22, 86, 34, 98, 9, 73, 32, 96, 19, 83, 27, 91, 23, 87)(12, 76, 31, 95, 49, 113, 38, 102, 52, 116, 43, 107, 55, 119, 40, 104)(14, 78, 29, 93, 50, 114, 37, 101, 53, 117, 42, 106, 56, 120, 44, 108)(16, 80, 33, 97, 51, 115, 45, 109, 57, 121, 47, 111, 58, 122, 46, 110)(39, 103, 59, 123, 64, 128, 54, 118, 63, 127, 61, 125, 62, 126, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 152, 216)(141, 205, 169, 233)(143, 207, 165, 229)(144, 208, 167, 231)(145, 209, 170, 234)(147, 211, 168, 232)(148, 212, 158, 222)(149, 213, 172, 236)(150, 214, 166, 230)(151, 215, 171, 235)(154, 218, 178, 242)(155, 219, 177, 241)(156, 220, 176, 240)(160, 224, 180, 244)(161, 225, 182, 246)(162, 226, 183, 247)(163, 227, 181, 245)(164, 228, 184, 248)(173, 237, 187, 251)(174, 238, 189, 253)(175, 239, 188, 252)(179, 243, 190, 254)(185, 249, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 165)(12, 167)(13, 170)(14, 131)(15, 152)(16, 134)(17, 169)(18, 172)(19, 174)(20, 164)(21, 133)(22, 173)(23, 175)(24, 150)(25, 177)(26, 179)(27, 135)(28, 180)(29, 182)(30, 183)(31, 136)(32, 176)(33, 138)(34, 148)(35, 185)(36, 186)(37, 187)(38, 139)(39, 142)(40, 146)(41, 151)(42, 188)(43, 141)(44, 189)(45, 143)(46, 149)(47, 145)(48, 163)(49, 190)(50, 153)(51, 155)(52, 191)(53, 156)(54, 159)(55, 192)(56, 158)(57, 160)(58, 162)(59, 166)(60, 171)(61, 168)(62, 178)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1820
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y2 * Y3)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^4, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 36, 100, 24, 88, 28, 92)(15, 79, 38, 102, 17, 81, 40, 104)(18, 82, 45, 109, 22, 86, 46, 110)(29, 93, 48, 112, 31, 95, 50, 114)(32, 96, 55, 119, 34, 98, 56, 120)(37, 101, 47, 111, 43, 107, 53, 117)(39, 103, 54, 118, 44, 108, 49, 113)(41, 105, 52, 116, 42, 106, 51, 115)(57, 121, 61, 125, 58, 122, 62, 126)(59, 123, 64, 128, 60, 124, 63, 127)(129, 193, 131, 195, 142, 206, 154, 218, 136, 200, 153, 217, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 148, 212, 133, 197, 147, 211, 164, 228, 139, 203)(132, 196, 146, 210, 170, 234, 143, 207, 135, 199, 150, 214, 169, 233, 145, 209)(138, 202, 160, 224, 180, 244, 157, 221, 140, 204, 162, 226, 179, 243, 159, 223)(141, 205, 165, 229, 149, 213, 172, 236, 144, 208, 171, 235, 151, 215, 167, 231)(155, 219, 175, 239, 161, 225, 182, 246, 158, 222, 181, 245, 163, 227, 177, 241)(166, 230, 187, 251, 173, 237, 185, 249, 168, 232, 188, 252, 174, 238, 186, 250)(176, 240, 191, 255, 183, 247, 189, 253, 178, 242, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 169)(15, 153)(16, 168)(17, 131)(18, 134)(19, 159)(20, 160)(21, 174)(22, 154)(23, 173)(24, 170)(25, 145)(26, 146)(27, 176)(28, 179)(29, 147)(30, 178)(31, 137)(32, 139)(33, 184)(34, 148)(35, 183)(36, 180)(37, 185)(38, 144)(39, 188)(40, 141)(41, 152)(42, 142)(43, 186)(44, 187)(45, 149)(46, 151)(47, 189)(48, 158)(49, 192)(50, 155)(51, 164)(52, 156)(53, 190)(54, 191)(55, 161)(56, 163)(57, 171)(58, 165)(59, 167)(60, 172)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1818
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1)^4, (R * Y2 * Y1 * Y2)^2, (Y3 * Y2)^4, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 32, 96)(18, 82, 36, 100)(19, 83, 38, 102)(20, 84, 40, 104)(22, 86, 44, 108)(24, 88, 46, 110)(26, 90, 50, 114)(27, 91, 52, 116)(28, 92, 54, 118)(30, 94, 58, 122)(31, 95, 56, 120)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 53, 117)(37, 101, 51, 115)(39, 103, 49, 113)(41, 105, 57, 121)(42, 106, 45, 109)(43, 107, 55, 119)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 161, 225)(145, 209, 162, 226)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 165, 229)(152, 216, 175, 239)(153, 217, 176, 240)(156, 220, 183, 247)(157, 221, 184, 248)(158, 222, 179, 243)(159, 223, 180, 244)(160, 224, 178, 242)(163, 227, 189, 253)(164, 228, 174, 238)(166, 230, 173, 237)(167, 231, 182, 246)(168, 232, 181, 245)(171, 235, 188, 252)(172, 236, 187, 251)(177, 241, 192, 256)(185, 249, 191, 255)(186, 250, 190, 254)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 159)(16, 135)(17, 163)(18, 165)(19, 167)(20, 137)(21, 171)(22, 138)(23, 173)(24, 139)(25, 177)(26, 179)(27, 181)(28, 141)(29, 185)(30, 142)(31, 143)(32, 183)(33, 187)(34, 188)(35, 145)(36, 182)(37, 146)(38, 186)(39, 147)(40, 178)(41, 174)(42, 189)(43, 149)(44, 180)(45, 151)(46, 169)(47, 190)(48, 191)(49, 153)(50, 168)(51, 154)(52, 172)(53, 155)(54, 164)(55, 160)(56, 192)(57, 157)(58, 166)(59, 161)(60, 162)(61, 170)(62, 175)(63, 176)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1841
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1 * Y2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y1 * Y2 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 44, 108)(27, 91, 33, 97)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 32, 96)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 55, 119)(43, 107, 58, 122)(45, 109, 52, 116)(46, 110, 59, 123)(47, 111, 60, 124)(48, 112, 53, 117)(49, 113, 56, 120)(50, 114, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 177, 241)(157, 221, 178, 242)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 189, 253)(175, 239, 190, 254)(184, 248, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1840
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1)^4, (R * Y2 * Y1 * Y2)^2, (Y3 * Y2)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 32, 96)(18, 82, 36, 100)(19, 83, 38, 102)(20, 84, 40, 104)(22, 86, 44, 108)(24, 88, 46, 110)(26, 90, 50, 114)(27, 91, 52, 116)(28, 92, 54, 118)(30, 94, 58, 122)(31, 95, 56, 120)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 49, 113)(37, 101, 51, 115)(39, 103, 53, 117)(41, 105, 55, 119)(42, 106, 45, 109)(43, 107, 57, 121)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 161, 225)(145, 209, 162, 226)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 165, 229)(152, 216, 175, 239)(153, 217, 176, 240)(156, 220, 183, 247)(157, 221, 184, 248)(158, 222, 179, 243)(159, 223, 180, 244)(160, 224, 178, 242)(163, 227, 182, 246)(164, 228, 174, 238)(166, 230, 173, 237)(167, 231, 189, 253)(168, 232, 177, 241)(171, 235, 188, 252)(172, 236, 187, 251)(181, 245, 192, 256)(185, 249, 191, 255)(186, 250, 190, 254)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 159)(16, 135)(17, 163)(18, 165)(19, 167)(20, 137)(21, 171)(22, 138)(23, 173)(24, 139)(25, 177)(26, 179)(27, 181)(28, 141)(29, 185)(30, 142)(31, 143)(32, 183)(33, 187)(34, 188)(35, 145)(36, 189)(37, 146)(38, 186)(39, 147)(40, 184)(41, 174)(42, 182)(43, 149)(44, 180)(45, 151)(46, 169)(47, 190)(48, 191)(49, 153)(50, 192)(51, 154)(52, 172)(53, 155)(54, 170)(55, 160)(56, 168)(57, 157)(58, 166)(59, 161)(60, 162)(61, 164)(62, 175)(63, 176)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1839
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1732>$ (small group id <128, 1732>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3 * Y1 * Y2)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (Y2 * Y1 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 34, 98)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 33, 97)(20, 84, 27, 91)(21, 85, 31, 95)(22, 86, 25, 89)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 51, 115)(40, 104, 58, 122)(41, 105, 53, 117)(42, 106, 54, 118)(43, 107, 55, 119)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 188, 252, 174, 238, 187, 251)(184, 248, 191, 255, 186, 250, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 155)(19, 173)(20, 133)(21, 158)(22, 151)(23, 145)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 143)(31, 185)(32, 137)(33, 146)(34, 139)(35, 183)(36, 182)(37, 189)(38, 140)(39, 176)(40, 142)(41, 175)(42, 188)(43, 187)(44, 149)(45, 148)(46, 150)(47, 171)(48, 170)(49, 192)(50, 152)(51, 164)(52, 154)(53, 163)(54, 191)(55, 190)(56, 161)(57, 160)(58, 162)(59, 169)(60, 167)(61, 166)(62, 181)(63, 179)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1834
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 28, 92)(13, 77, 27, 91)(14, 78, 30, 94)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 23, 87)(18, 82, 22, 86)(19, 83, 26, 90)(20, 84, 24, 88)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 52, 116)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 46, 110)(41, 105, 50, 114)(42, 106, 51, 115)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 185, 249, 169, 233, 187, 251)(167, 231, 184, 248, 170, 234, 186, 250)(178, 242, 190, 254, 181, 245, 192, 256)(179, 243, 189, 253, 182, 246, 191, 255)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1833
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y2^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^2 * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^4 * Y2^-2, Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y3 * Y2^2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y1 * Y2^-1 * Y1 * Y2)^2, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 35, 99)(20, 84, 30, 94)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 60, 124)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 59, 123)(47, 111, 58, 122)(48, 112, 54, 118)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 151, 215, 174, 238)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 164, 228, 186, 250)(175, 239, 189, 253, 176, 240, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 158)(19, 174)(20, 133)(21, 152)(22, 159)(23, 134)(24, 143)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 145)(32, 186)(33, 137)(34, 139)(35, 146)(36, 138)(37, 181)(38, 183)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 177)(45, 178)(46, 142)(47, 150)(48, 149)(49, 169)(50, 171)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 165)(57, 166)(58, 155)(59, 163)(60, 162)(61, 173)(62, 172)(63, 185)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1835
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1732>$ (small group id <128, 1732>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y2 * Y3^-1 * Y1)^2, (Y2^-1 * Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 34, 98)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 33, 97)(20, 84, 27, 91)(21, 85, 31, 95)(22, 86, 25, 89)(35, 99, 48, 112)(36, 100, 47, 111)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 55, 119)(40, 104, 58, 122)(41, 105, 54, 118)(42, 106, 53, 117)(43, 107, 51, 115)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 189, 253, 174, 238, 188, 252)(184, 248, 192, 256, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 155)(19, 173)(20, 133)(21, 158)(22, 151)(23, 145)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 143)(31, 185)(32, 137)(33, 146)(34, 139)(35, 179)(36, 181)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 175)(43, 176)(44, 149)(45, 148)(46, 150)(47, 167)(48, 169)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 163)(55, 164)(56, 161)(57, 160)(58, 162)(59, 166)(60, 170)(61, 171)(62, 178)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1836
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^-4 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y3^-1)^2, (Y3^2 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1, Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 24, 88)(13, 77, 23, 87)(14, 78, 30, 94)(15, 79, 32, 96)(16, 80, 31, 95)(17, 81, 29, 93)(18, 82, 28, 92)(19, 83, 25, 89)(20, 84, 27, 91)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 52, 116)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 48, 112)(41, 105, 55, 119)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(57, 121, 63, 127)(58, 122, 62, 126)(59, 123, 61, 125)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 149, 213, 168, 232)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 160, 224, 180, 244)(169, 233, 185, 249, 171, 235, 187, 251)(170, 234, 186, 250, 172, 236, 188, 252)(181, 245, 189, 253, 183, 247, 191, 255)(182, 246, 190, 254, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 169)(15, 162)(16, 171)(17, 168)(18, 133)(19, 170)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 181)(26, 174)(27, 183)(28, 180)(29, 137)(30, 182)(31, 184)(32, 138)(33, 149)(34, 139)(35, 185)(36, 146)(37, 187)(38, 186)(39, 188)(40, 141)(41, 148)(42, 142)(43, 147)(44, 144)(45, 160)(46, 150)(47, 189)(48, 157)(49, 191)(50, 190)(51, 192)(52, 152)(53, 159)(54, 153)(55, 158)(56, 155)(57, 167)(58, 163)(59, 166)(60, 165)(61, 179)(62, 175)(63, 178)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1837
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 2006>$ (small group id <128, 2006>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 28, 92)(13, 77, 27, 91)(14, 78, 30, 94)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 23, 87)(18, 82, 22, 86)(19, 83, 26, 90)(20, 84, 24, 88)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 52, 116)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 46, 110)(41, 105, 50, 114)(42, 106, 51, 115)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 186, 250, 169, 233, 184, 248)(167, 231, 187, 251, 170, 234, 185, 249)(178, 242, 191, 255, 181, 245, 189, 253)(179, 243, 192, 256, 182, 246, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1838
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 15, 79, 29, 93, 18, 82, 5, 69)(3, 67, 11, 75, 33, 97, 49, 113, 37, 101, 45, 109, 23, 87, 8, 72)(4, 68, 14, 78, 25, 89, 21, 85, 6, 70, 20, 84, 24, 88, 16, 80)(9, 73, 28, 92, 17, 81, 32, 96, 10, 74, 31, 95, 19, 83, 30, 94)(12, 76, 36, 100, 46, 110, 40, 104, 13, 77, 39, 103, 47, 111, 38, 102)(26, 90, 48, 112, 35, 99, 52, 116, 27, 91, 51, 115, 34, 98, 50, 114)(41, 105, 53, 117, 43, 107, 55, 119, 42, 106, 54, 118, 44, 108, 56, 120)(57, 121, 63, 127, 59, 123, 62, 126, 58, 122, 64, 128, 60, 124, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 168, 232)(143, 207, 165, 229)(144, 208, 167, 231)(145, 209, 163, 227)(146, 210, 161, 225)(147, 211, 162, 226)(148, 212, 166, 230)(149, 213, 164, 228)(150, 214, 173, 237)(152, 216, 175, 239)(153, 217, 174, 238)(156, 220, 180, 244)(157, 221, 177, 241)(158, 222, 179, 243)(159, 223, 178, 242)(160, 224, 176, 240)(169, 233, 187, 251)(170, 234, 188, 252)(171, 235, 185, 249)(172, 236, 186, 250)(181, 245, 191, 255)(182, 246, 192, 256)(183, 247, 189, 253)(184, 248, 190, 254)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 165)(13, 131)(14, 169)(15, 134)(16, 171)(17, 150)(18, 153)(19, 133)(20, 170)(21, 172)(22, 147)(23, 174)(24, 146)(25, 135)(26, 177)(27, 136)(28, 181)(29, 138)(30, 183)(31, 182)(32, 184)(33, 175)(34, 173)(35, 139)(36, 185)(37, 141)(38, 187)(39, 186)(40, 188)(41, 148)(42, 142)(43, 149)(44, 144)(45, 163)(46, 161)(47, 151)(48, 189)(49, 155)(50, 191)(51, 190)(52, 192)(53, 159)(54, 156)(55, 160)(56, 158)(57, 167)(58, 164)(59, 168)(60, 166)(61, 179)(62, 176)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1828
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1732>$ (small group id <128, 1732>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, (Y3^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-3, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 51, 115, 41, 105, 63, 127, 44, 108, 13, 77)(4, 68, 15, 79, 27, 91, 23, 87, 6, 70, 22, 86, 26, 90, 17, 81)(8, 72, 28, 92, 50, 114, 64, 128, 57, 121, 49, 113, 18, 82, 30, 94)(9, 73, 32, 96, 19, 83, 36, 100, 10, 74, 35, 99, 21, 85, 34, 98)(12, 76, 40, 104, 53, 117, 31, 95, 14, 78, 46, 110, 52, 116, 29, 93)(37, 101, 54, 118, 47, 111, 61, 125, 48, 112, 62, 126, 42, 106, 58, 122)(38, 102, 59, 123, 43, 107, 56, 120, 39, 103, 60, 124, 45, 109, 55, 119)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 170, 234)(143, 207, 173, 237)(144, 208, 169, 233)(145, 209, 167, 231)(147, 211, 174, 238)(148, 212, 172, 236)(149, 213, 168, 232)(150, 214, 171, 235)(151, 215, 166, 230)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 180, 244)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 188, 252)(161, 225, 185, 249)(162, 226, 184, 248)(163, 227, 187, 251)(164, 228, 183, 247)(175, 239, 179, 243)(176, 240, 191, 255)(177, 241, 190, 254)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 169)(13, 171)(14, 131)(15, 175)(16, 134)(17, 176)(18, 168)(19, 152)(20, 155)(21, 133)(22, 170)(23, 165)(24, 149)(25, 180)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 189)(33, 138)(34, 190)(35, 186)(36, 182)(37, 145)(38, 191)(39, 139)(40, 178)(41, 142)(42, 143)(43, 179)(44, 181)(45, 141)(46, 146)(47, 150)(48, 151)(49, 184)(50, 174)(51, 173)(52, 172)(53, 153)(54, 162)(55, 177)(56, 156)(57, 159)(58, 160)(59, 192)(60, 158)(61, 163)(62, 164)(63, 167)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1827
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y3^-2, Y3^-2 * Y1 * Y3^2 * Y1^-1, (Y2 * Y1^-2)^2, (Y3^-1 * Y1^-1)^4, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 23, 87, 48, 112, 45, 109, 19, 83, 5, 69)(3, 67, 11, 75, 35, 99, 61, 125, 63, 127, 52, 116, 24, 88, 13, 77)(4, 68, 15, 79, 25, 89, 54, 118, 47, 111, 20, 84, 33, 97, 10, 74)(6, 70, 18, 82, 26, 90, 9, 73, 31, 95, 50, 114, 46, 110, 21, 85)(8, 72, 27, 91, 17, 81, 42, 106, 62, 126, 64, 128, 49, 113, 29, 93)(12, 76, 37, 101, 57, 121, 28, 92, 58, 122, 40, 104, 51, 115, 36, 100)(14, 78, 39, 103, 60, 124, 30, 94, 59, 123, 44, 108, 53, 117, 41, 105)(16, 80, 32, 96, 55, 119, 38, 102, 22, 86, 34, 98, 56, 120, 43, 107)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 152, 216)(137, 201, 158, 222)(138, 202, 156, 220)(139, 203, 160, 224)(141, 205, 166, 230)(143, 207, 165, 229)(144, 208, 170, 234)(146, 210, 172, 236)(147, 211, 163, 227)(148, 212, 168, 232)(149, 213, 169, 233)(150, 214, 157, 221)(151, 215, 177, 241)(153, 217, 181, 245)(154, 218, 179, 243)(155, 219, 183, 247)(159, 223, 186, 250)(161, 225, 188, 252)(162, 226, 180, 244)(164, 228, 182, 246)(167, 231, 178, 242)(171, 235, 189, 253)(173, 237, 190, 254)(174, 238, 185, 249)(175, 239, 187, 251)(176, 240, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 153)(8, 156)(9, 160)(10, 130)(11, 158)(12, 157)(13, 167)(14, 131)(15, 151)(16, 159)(17, 168)(18, 171)(19, 161)(20, 133)(21, 162)(22, 134)(23, 178)(24, 179)(25, 183)(26, 135)(27, 181)(28, 180)(29, 187)(30, 136)(31, 176)(32, 182)(33, 184)(34, 138)(35, 185)(36, 139)(37, 189)(38, 148)(39, 177)(40, 141)(41, 190)(42, 142)(43, 143)(44, 145)(45, 149)(46, 147)(47, 150)(48, 175)(49, 165)(50, 166)(51, 192)(52, 169)(53, 152)(54, 173)(55, 174)(56, 154)(57, 155)(58, 170)(59, 191)(60, 163)(61, 172)(62, 164)(63, 186)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1829
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1732>$ (small group id <128, 1732>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-3, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y2 * Y1^-2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 50, 114, 48, 112, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 52, 116, 64, 128, 59, 123, 44, 108, 13, 77)(4, 68, 15, 79, 36, 100, 10, 74, 35, 99, 21, 85, 26, 90, 17, 81)(6, 70, 22, 86, 34, 98, 9, 73, 32, 96, 19, 83, 27, 91, 23, 87)(8, 72, 28, 92, 51, 115, 41, 105, 63, 127, 49, 113, 18, 82, 30, 94)(12, 76, 40, 104, 58, 122, 39, 103, 62, 126, 45, 109, 53, 117, 29, 93)(14, 78, 46, 110, 57, 121, 38, 102, 61, 125, 43, 107, 54, 118, 31, 95)(16, 80, 33, 97, 55, 119, 42, 106, 60, 124, 37, 101, 56, 120, 47, 111)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 170, 234)(143, 207, 173, 237)(144, 208, 169, 233)(145, 209, 167, 231)(147, 211, 174, 238)(148, 212, 172, 236)(149, 213, 168, 232)(150, 214, 171, 235)(151, 215, 166, 230)(152, 216, 179, 243)(154, 218, 182, 246)(155, 219, 181, 245)(156, 220, 184, 248)(158, 222, 188, 252)(160, 224, 190, 254)(161, 225, 187, 251)(162, 226, 186, 250)(163, 227, 189, 253)(164, 228, 185, 249)(175, 239, 180, 244)(176, 240, 191, 255)(177, 241, 183, 247)(178, 242, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 169)(13, 171)(14, 131)(15, 152)(16, 134)(17, 176)(18, 168)(19, 175)(20, 164)(21, 133)(22, 170)(23, 165)(24, 150)(25, 181)(26, 183)(27, 135)(28, 185)(29, 187)(30, 189)(31, 136)(32, 178)(33, 138)(34, 148)(35, 188)(36, 184)(37, 145)(38, 191)(39, 139)(40, 180)(41, 142)(42, 143)(43, 179)(44, 186)(45, 141)(46, 146)(47, 149)(48, 151)(49, 182)(50, 163)(51, 173)(52, 174)(53, 177)(54, 153)(55, 155)(56, 162)(57, 172)(58, 156)(59, 159)(60, 160)(61, 192)(62, 158)(63, 167)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1830
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y1^-2)^2, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y2 * R * Y1 * Y2 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 23, 87, 48, 112, 38, 102, 19, 83, 5, 69)(3, 67, 11, 75, 29, 93, 8, 72, 27, 91, 17, 81, 24, 88, 13, 77)(4, 68, 15, 79, 25, 89, 52, 116, 46, 110, 20, 84, 33, 97, 10, 74)(6, 70, 18, 82, 26, 90, 9, 73, 31, 95, 49, 113, 45, 109, 21, 85)(12, 76, 30, 94, 58, 122, 44, 108, 55, 119, 40, 104, 50, 114, 36, 100)(14, 78, 39, 103, 59, 123, 35, 99, 56, 120, 28, 92, 51, 115, 41, 105)(16, 80, 32, 96, 53, 117, 47, 111, 22, 86, 34, 98, 54, 118, 43, 107)(37, 101, 61, 125, 64, 128, 57, 121, 42, 106, 62, 126, 63, 127, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 152, 216)(137, 201, 158, 222)(138, 202, 156, 220)(139, 203, 151, 215)(141, 205, 166, 230)(143, 207, 163, 227)(144, 208, 170, 234)(146, 210, 172, 236)(147, 211, 157, 221)(148, 212, 169, 233)(149, 213, 168, 232)(150, 214, 165, 229)(153, 217, 179, 243)(154, 218, 178, 242)(155, 219, 176, 240)(159, 223, 183, 247)(160, 224, 188, 252)(161, 225, 187, 251)(162, 226, 185, 249)(164, 228, 177, 241)(167, 231, 180, 244)(171, 235, 189, 253)(173, 237, 186, 250)(174, 238, 184, 248)(175, 239, 190, 254)(181, 245, 192, 256)(182, 246, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 153)(8, 156)(9, 160)(10, 130)(11, 163)(12, 165)(13, 167)(14, 131)(15, 151)(16, 159)(17, 169)(18, 171)(19, 161)(20, 133)(21, 162)(22, 134)(23, 177)(24, 178)(25, 181)(26, 135)(27, 183)(28, 185)(29, 186)(30, 136)(31, 176)(32, 180)(33, 182)(34, 138)(35, 189)(36, 139)(37, 184)(38, 149)(39, 188)(40, 141)(41, 190)(42, 142)(43, 143)(44, 145)(45, 147)(46, 150)(47, 148)(48, 174)(49, 175)(50, 191)(51, 152)(52, 166)(53, 173)(54, 154)(55, 170)(56, 155)(57, 168)(58, 192)(59, 157)(60, 158)(61, 172)(62, 164)(63, 187)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1831
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 2006>$ (small group id <128, 2006>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1^2 * Y3 * Y1^-1 * Y3 * Y1, Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 45, 109, 43, 107, 18, 82, 5, 69)(3, 67, 11, 75, 33, 97, 57, 121, 61, 125, 46, 110, 23, 87, 8, 72)(4, 68, 14, 78, 32, 96, 10, 74, 31, 95, 19, 83, 24, 88, 16, 80)(6, 70, 20, 84, 30, 94, 9, 73, 28, 92, 17, 81, 25, 89, 21, 85)(12, 76, 36, 100, 47, 111, 35, 99, 54, 118, 27, 91, 53, 117, 38, 102)(13, 77, 39, 103, 48, 112, 34, 98, 52, 116, 26, 90, 50, 114, 40, 104)(15, 79, 29, 93, 49, 113, 41, 105, 55, 119, 44, 108, 56, 120, 42, 106)(37, 101, 58, 122, 63, 127, 59, 123, 64, 128, 60, 124, 62, 126, 51, 115)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 168, 232)(143, 207, 165, 229)(144, 208, 167, 231)(145, 209, 163, 227)(146, 210, 161, 225)(147, 211, 162, 226)(148, 212, 166, 230)(149, 213, 164, 228)(150, 214, 174, 238)(152, 216, 176, 240)(153, 217, 175, 239)(156, 220, 182, 246)(157, 221, 179, 243)(158, 222, 181, 245)(159, 223, 180, 244)(160, 224, 178, 242)(169, 233, 188, 252)(170, 234, 186, 250)(171, 235, 185, 249)(172, 236, 187, 251)(173, 237, 189, 253)(177, 241, 190, 254)(183, 247, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 165)(13, 131)(14, 150)(15, 134)(16, 171)(17, 170)(18, 160)(19, 133)(20, 169)(21, 172)(22, 148)(23, 175)(24, 177)(25, 135)(26, 179)(27, 136)(28, 173)(29, 138)(30, 146)(31, 183)(32, 184)(33, 181)(34, 186)(35, 139)(36, 185)(37, 141)(38, 174)(39, 187)(40, 188)(41, 142)(42, 147)(43, 149)(44, 144)(45, 159)(46, 168)(47, 190)(48, 151)(49, 153)(50, 161)(51, 155)(52, 189)(53, 191)(54, 192)(55, 156)(56, 158)(57, 167)(58, 163)(59, 164)(60, 166)(61, 182)(62, 176)(63, 178)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1832
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, (Y2 * Y3^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y1 * Y2^3, Y2 * Y1 * Y2^-3 * Y1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y2^2 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^2 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1, Y1^-1 * Y3^2 * Y2^2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 31, 95, 16, 80)(4, 68, 18, 82, 32, 96, 12, 76)(6, 70, 24, 88, 33, 97, 26, 90)(7, 71, 22, 86, 34, 98, 10, 74)(9, 73, 35, 99, 21, 85, 38, 102)(11, 75, 42, 106, 23, 87, 44, 108)(14, 78, 45, 109, 30, 94, 41, 105)(15, 79, 40, 104, 28, 92, 47, 111)(17, 81, 53, 117, 57, 121, 39, 103)(19, 83, 37, 101, 29, 93, 46, 110)(20, 84, 48, 112, 27, 91, 36, 100)(25, 89, 55, 119, 58, 122, 43, 107)(49, 113, 59, 123, 52, 116, 62, 126)(50, 114, 61, 125, 56, 120, 63, 127)(51, 115, 60, 124, 54, 118, 64, 128)(129, 193, 131, 195, 142, 206, 163, 227, 187, 251, 170, 234, 155, 219, 134, 198)(130, 194, 137, 201, 164, 228, 144, 208, 180, 244, 154, 218, 173, 237, 139, 203)(132, 196, 147, 211, 162, 226, 186, 250, 184, 248, 156, 220, 182, 246, 145, 209)(133, 197, 149, 213, 176, 240, 141, 205, 177, 241, 152, 216, 169, 233, 151, 215)(135, 199, 153, 217, 178, 242, 143, 207, 179, 243, 185, 249, 160, 224, 157, 221)(136, 200, 159, 223, 158, 222, 166, 230, 190, 254, 172, 236, 148, 212, 161, 225)(138, 202, 168, 232, 146, 210, 183, 247, 192, 256, 174, 238, 191, 255, 167, 231)(140, 204, 171, 235, 188, 252, 165, 229, 189, 253, 181, 245, 150, 214, 175, 239)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 160)(9, 165)(10, 169)(11, 171)(12, 130)(13, 167)(14, 162)(15, 161)(16, 181)(17, 131)(18, 133)(19, 163)(20, 179)(21, 174)(22, 173)(23, 183)(24, 168)(25, 172)(26, 175)(27, 182)(28, 134)(29, 166)(30, 135)(31, 156)(32, 155)(33, 186)(34, 136)(35, 185)(36, 146)(37, 151)(38, 145)(39, 137)(40, 144)(41, 189)(42, 157)(43, 152)(44, 147)(45, 191)(46, 139)(47, 141)(48, 140)(49, 188)(50, 142)(51, 187)(52, 192)(53, 149)(54, 190)(55, 154)(56, 158)(57, 159)(58, 170)(59, 184)(60, 164)(61, 180)(62, 178)(63, 177)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1826
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^4, Y1^4, (Y3^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y1^-1 * Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y2, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 28, 92, 24, 88, 36, 100)(15, 79, 38, 102, 17, 81, 40, 104)(18, 82, 45, 109, 22, 86, 46, 110)(29, 93, 48, 112, 31, 95, 50, 114)(32, 96, 55, 119, 34, 98, 56, 120)(37, 101, 47, 111, 43, 107, 53, 117)(39, 103, 49, 113, 44, 108, 54, 118)(41, 105, 51, 115, 42, 106, 52, 116)(57, 121, 61, 125, 58, 122, 62, 126)(59, 123, 63, 127, 60, 124, 64, 128)(129, 193, 131, 195, 142, 206, 154, 218, 136, 200, 153, 217, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 148, 212, 133, 197, 147, 211, 164, 228, 139, 203)(132, 196, 146, 210, 170, 234, 143, 207, 135, 199, 150, 214, 169, 233, 145, 209)(138, 202, 160, 224, 180, 244, 157, 221, 140, 204, 162, 226, 179, 243, 159, 223)(141, 205, 165, 229, 151, 215, 172, 236, 144, 208, 171, 235, 149, 213, 167, 231)(155, 219, 175, 239, 163, 227, 182, 246, 158, 222, 181, 245, 161, 225, 177, 241)(166, 230, 187, 251, 174, 238, 185, 249, 168, 232, 188, 252, 173, 237, 186, 250)(176, 240, 191, 255, 184, 248, 189, 253, 178, 242, 192, 256, 183, 247, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 169)(15, 153)(16, 168)(17, 131)(18, 134)(19, 159)(20, 160)(21, 174)(22, 154)(23, 173)(24, 170)(25, 145)(26, 146)(27, 176)(28, 179)(29, 147)(30, 178)(31, 137)(32, 139)(33, 184)(34, 148)(35, 183)(36, 180)(37, 185)(38, 144)(39, 188)(40, 141)(41, 152)(42, 142)(43, 186)(44, 187)(45, 149)(46, 151)(47, 189)(48, 158)(49, 192)(50, 155)(51, 164)(52, 156)(53, 190)(54, 191)(55, 161)(56, 163)(57, 171)(58, 165)(59, 167)(60, 172)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1825
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y2^-1 * Y3)^2, Y1^4, (R * Y3)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^3 * Y1^-2 * Y2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 22, 86, 14, 78)(4, 68, 15, 79, 23, 87, 9, 73)(6, 70, 19, 83, 24, 88, 20, 84)(8, 72, 25, 89, 17, 81, 28, 92)(10, 74, 30, 94, 18, 82, 31, 95)(12, 76, 32, 96, 21, 85, 26, 90)(13, 77, 37, 101, 45, 109, 34, 98)(16, 80, 42, 106, 46, 110, 44, 108)(27, 91, 51, 115, 41, 105, 48, 112)(29, 93, 54, 118, 40, 104, 56, 120)(33, 97, 47, 111, 38, 102, 52, 116)(35, 99, 53, 117, 39, 103, 49, 113)(36, 100, 50, 114, 43, 107, 55, 119)(57, 121, 64, 128, 60, 124, 61, 125)(58, 122, 62, 126, 59, 123, 63, 127)(129, 193, 131, 195, 140, 204, 152, 216, 135, 199, 150, 214, 149, 213, 134, 198)(130, 194, 136, 200, 154, 218, 146, 210, 133, 197, 145, 209, 160, 224, 138, 202)(132, 196, 144, 208, 171, 235, 173, 237, 151, 215, 174, 238, 164, 228, 141, 205)(137, 201, 157, 221, 183, 247, 169, 233, 143, 207, 168, 232, 178, 242, 155, 219)(139, 203, 161, 225, 147, 211, 167, 231, 142, 206, 166, 230, 148, 212, 163, 227)(153, 217, 175, 239, 158, 222, 181, 245, 156, 220, 180, 244, 159, 223, 177, 241)(162, 226, 186, 250, 170, 234, 188, 252, 165, 229, 187, 251, 172, 236, 185, 249)(176, 240, 190, 254, 182, 246, 192, 256, 179, 243, 191, 255, 184, 248, 189, 253)
	L = (1, 132)(2, 137)(3, 141)(4, 129)(5, 143)(6, 144)(7, 151)(8, 155)(9, 130)(10, 157)(11, 162)(12, 164)(13, 131)(14, 165)(15, 133)(16, 134)(17, 169)(18, 168)(19, 172)(20, 170)(21, 171)(22, 173)(23, 135)(24, 174)(25, 176)(26, 178)(27, 136)(28, 179)(29, 138)(30, 184)(31, 182)(32, 183)(33, 185)(34, 139)(35, 186)(36, 140)(37, 142)(38, 188)(39, 187)(40, 146)(41, 145)(42, 148)(43, 149)(44, 147)(45, 150)(46, 152)(47, 189)(48, 153)(49, 190)(50, 154)(51, 156)(52, 192)(53, 191)(54, 159)(55, 160)(56, 158)(57, 161)(58, 163)(59, 167)(60, 166)(61, 175)(62, 177)(63, 181)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1824
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 14, 78)(7, 71, 18, 82)(8, 72, 21, 85)(9, 73, 23, 87)(10, 74, 26, 90)(12, 76, 28, 92)(13, 77, 20, 84)(15, 79, 33, 97)(16, 80, 34, 98)(17, 81, 37, 101)(19, 83, 39, 103)(22, 86, 44, 108)(24, 88, 45, 109)(25, 89, 36, 100)(27, 91, 50, 114)(29, 93, 41, 105)(30, 94, 40, 104)(31, 95, 42, 106)(32, 96, 43, 107)(35, 99, 53, 117)(38, 102, 58, 122)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 56, 120)(49, 113, 57, 121)(51, 115, 60, 124)(52, 116, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 143, 207)(135, 199, 147, 211)(136, 200, 150, 214)(137, 201, 152, 216)(138, 202, 155, 219)(139, 203, 156, 220)(141, 205, 153, 217)(142, 206, 161, 225)(144, 208, 163, 227)(145, 209, 166, 230)(146, 210, 167, 231)(148, 212, 164, 228)(149, 213, 172, 236)(151, 215, 173, 237)(154, 218, 178, 242)(157, 221, 174, 238)(158, 222, 175, 239)(159, 223, 176, 240)(160, 224, 177, 241)(162, 226, 181, 245)(165, 229, 186, 250)(168, 232, 182, 246)(169, 233, 183, 247)(170, 234, 184, 248)(171, 235, 185, 249)(179, 243, 189, 253)(180, 244, 190, 254)(187, 251, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 141)(5, 129)(6, 144)(7, 148)(8, 130)(9, 153)(10, 131)(11, 157)(12, 159)(13, 133)(14, 158)(15, 160)(16, 164)(17, 134)(18, 168)(19, 170)(20, 136)(21, 169)(22, 171)(23, 174)(24, 176)(25, 138)(26, 175)(27, 177)(28, 179)(29, 142)(30, 139)(31, 143)(32, 140)(33, 180)(34, 182)(35, 184)(36, 145)(37, 183)(38, 185)(39, 187)(40, 149)(41, 146)(42, 150)(43, 147)(44, 188)(45, 189)(46, 154)(47, 151)(48, 155)(49, 152)(50, 190)(51, 161)(52, 156)(53, 191)(54, 165)(55, 162)(56, 166)(57, 163)(58, 192)(59, 172)(60, 167)(61, 178)(62, 173)(63, 186)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1852
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^3 * Y2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1, (Y2 * Y3^-1)^4, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^8, (Y3 * Y1 * Y3 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 11, 75)(5, 69, 14, 78)(7, 71, 19, 83)(8, 72, 22, 86)(9, 73, 25, 89)(10, 74, 28, 92)(12, 76, 31, 95)(13, 77, 21, 85)(15, 79, 35, 99)(16, 80, 24, 88)(17, 81, 37, 101)(18, 82, 40, 104)(20, 84, 43, 107)(23, 87, 47, 111)(26, 90, 49, 113)(27, 91, 39, 103)(29, 93, 53, 117)(30, 94, 42, 106)(32, 96, 44, 108)(33, 97, 45, 109)(34, 98, 46, 110)(36, 100, 48, 112)(38, 102, 56, 120)(41, 105, 60, 124)(50, 114, 57, 121)(51, 115, 58, 122)(52, 116, 59, 123)(54, 118, 61, 125)(55, 119, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 143, 207)(135, 199, 148, 212)(136, 200, 151, 215)(137, 201, 154, 218)(138, 202, 157, 221)(139, 203, 159, 223)(141, 205, 158, 222)(142, 206, 163, 227)(144, 208, 155, 219)(145, 209, 166, 230)(146, 210, 169, 233)(147, 211, 171, 235)(149, 213, 170, 234)(150, 214, 175, 239)(152, 216, 167, 231)(153, 217, 177, 241)(156, 220, 181, 245)(160, 224, 182, 246)(161, 225, 179, 243)(162, 226, 180, 244)(164, 228, 178, 242)(165, 229, 184, 248)(168, 232, 188, 252)(172, 236, 189, 253)(173, 237, 186, 250)(174, 238, 187, 251)(176, 240, 185, 249)(183, 247, 191, 255)(190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 137)(4, 141)(5, 129)(6, 145)(7, 149)(8, 130)(9, 155)(10, 131)(11, 160)(12, 162)(13, 154)(14, 161)(15, 158)(16, 133)(17, 167)(18, 134)(19, 172)(20, 174)(21, 166)(22, 173)(23, 170)(24, 136)(25, 178)(26, 180)(27, 140)(28, 179)(29, 144)(30, 138)(31, 183)(32, 177)(33, 139)(34, 143)(35, 182)(36, 142)(37, 185)(38, 187)(39, 148)(40, 186)(41, 152)(42, 146)(43, 190)(44, 184)(45, 147)(46, 151)(47, 189)(48, 150)(49, 191)(50, 159)(51, 153)(52, 157)(53, 164)(54, 156)(55, 163)(56, 192)(57, 171)(58, 165)(59, 169)(60, 176)(61, 168)(62, 175)(63, 181)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1853
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3)^2, (Y2 * Y1 * Y2)^2, (Y2^-1 * Y1)^4, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 34, 98)(25, 89, 36, 100)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 159, 223, 176, 240)(158, 222, 178, 242, 160, 224, 177, 241)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 181, 245, 170, 234, 184, 248)(169, 233, 186, 250, 171, 235, 185, 249)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1851
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 36, 100)(25, 89, 34, 98)(26, 90, 37, 101)(27, 91, 39, 103)(28, 92, 38, 102)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 56, 120)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 53, 117)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 176, 240, 159, 223, 173, 237)(158, 222, 178, 242, 160, 224, 177, 241)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 184, 248, 170, 234, 181, 245)(169, 233, 186, 250, 171, 235, 185, 249)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1850
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-2 * Y1)^2, (Y2 * Y3 * Y2)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 45, 109)(25, 89, 48, 112)(26, 90, 37, 101)(27, 91, 49, 113)(28, 92, 50, 114)(30, 94, 51, 115)(32, 96, 52, 116)(34, 98, 53, 117)(36, 100, 56, 120)(38, 102, 57, 121)(39, 103, 58, 122)(41, 105, 59, 123)(43, 107, 60, 124)(46, 110, 54, 118)(47, 111, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 178, 242, 159, 223, 177, 241)(158, 222, 176, 240, 160, 224, 173, 237)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 186, 250, 170, 234, 185, 249)(169, 233, 184, 248, 171, 235, 181, 245)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 167)(24, 137)(25, 166)(26, 138)(27, 164)(28, 162)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 156)(35, 144)(36, 155)(37, 145)(38, 153)(39, 151)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 186)(46, 189)(47, 190)(48, 185)(49, 184)(50, 181)(51, 157)(52, 159)(53, 178)(54, 191)(55, 192)(56, 177)(57, 176)(58, 173)(59, 168)(60, 170)(61, 174)(62, 175)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1849
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y2^2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 34, 98)(25, 89, 36, 100)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 54, 118)(41, 105, 61, 125)(43, 107, 64, 128)(45, 109, 55, 119)(46, 110, 56, 120)(47, 111, 57, 121)(48, 112, 58, 122)(49, 113, 59, 123)(50, 114, 60, 124)(52, 116, 62, 126)(53, 117, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 159, 223, 176, 240)(158, 222, 180, 244, 160, 224, 181, 245)(163, 227, 184, 248, 172, 236, 185, 249)(168, 232, 183, 247, 170, 234, 186, 250)(169, 233, 190, 254, 171, 235, 191, 255)(177, 241, 189, 253, 178, 242, 192, 256)(179, 243, 188, 252, 182, 246, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 182)(32, 141)(33, 142)(34, 183)(35, 144)(36, 186)(37, 145)(38, 187)(39, 188)(40, 189)(41, 147)(42, 192)(43, 148)(44, 149)(45, 151)(46, 191)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 185)(53, 184)(54, 159)(55, 162)(56, 181)(57, 180)(58, 164)(59, 166)(60, 167)(61, 168)(62, 175)(63, 174)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1848
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^2)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y1^-2 * Y3)^2, Y3 * Y1^2 * Y2 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 28, 92, 16, 80, 5, 69)(3, 67, 9, 73, 22, 86, 7, 71, 20, 84, 14, 78, 18, 82, 11, 75)(4, 68, 12, 76, 30, 94, 49, 113, 56, 120, 40, 104, 19, 83, 13, 77)(8, 72, 23, 87, 15, 79, 36, 100, 52, 116, 57, 121, 38, 102, 24, 88)(10, 74, 26, 90, 39, 103, 31, 95, 41, 105, 33, 97, 44, 108, 27, 91)(21, 85, 42, 106, 25, 89, 45, 109, 29, 93, 47, 111, 35, 99, 43, 107)(32, 96, 46, 110, 34, 98, 48, 112, 58, 122, 64, 128, 63, 127, 54, 118)(50, 114, 61, 125, 51, 115, 59, 123, 55, 119, 60, 124, 53, 117, 62, 126)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 145, 209)(139, 203, 156, 220)(140, 204, 159, 223)(141, 205, 161, 225)(143, 207, 163, 227)(144, 208, 150, 214)(147, 211, 167, 231)(148, 212, 165, 229)(151, 215, 173, 237)(152, 216, 175, 239)(153, 217, 166, 230)(154, 218, 177, 241)(155, 219, 168, 232)(157, 221, 180, 244)(158, 222, 172, 236)(160, 224, 181, 245)(162, 226, 183, 247)(164, 228, 170, 234)(169, 233, 184, 248)(171, 235, 185, 249)(174, 238, 189, 253)(176, 240, 190, 254)(178, 242, 191, 255)(179, 243, 186, 250)(182, 246, 187, 251)(188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 153)(10, 131)(11, 157)(12, 160)(13, 162)(14, 163)(15, 133)(16, 158)(17, 166)(18, 167)(19, 134)(20, 169)(21, 135)(22, 172)(23, 174)(24, 176)(25, 137)(26, 178)(27, 179)(28, 180)(29, 139)(30, 144)(31, 181)(32, 140)(33, 183)(34, 141)(35, 142)(36, 182)(37, 184)(38, 145)(39, 146)(40, 186)(41, 148)(42, 187)(43, 188)(44, 150)(45, 189)(46, 151)(47, 190)(48, 152)(49, 191)(50, 154)(51, 155)(52, 156)(53, 159)(54, 164)(55, 161)(56, 165)(57, 192)(58, 168)(59, 170)(60, 171)(61, 173)(62, 175)(63, 177)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1847
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y1^-2 * Y2 * Y1^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1^2 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y1)^4, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 40, 104, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 44, 108, 61, 125, 60, 124, 31, 95, 11, 75)(4, 68, 12, 76, 32, 96, 57, 121, 62, 126, 46, 110, 19, 83, 13, 77)(7, 71, 20, 84, 42, 106, 63, 127, 59, 123, 38, 102, 14, 78, 22, 86)(8, 72, 23, 87, 15, 79, 39, 103, 58, 122, 64, 128, 43, 107, 24, 88)(10, 74, 27, 91, 50, 114, 21, 85, 49, 113, 37, 101, 45, 109, 28, 92)(25, 89, 47, 111, 34, 98, 54, 118, 36, 100, 56, 120, 29, 93, 51, 115)(26, 90, 53, 117, 30, 94, 48, 112, 35, 99, 52, 116, 33, 97, 55, 119)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 157, 221)(140, 204, 161, 225)(141, 205, 163, 227)(143, 207, 165, 229)(144, 208, 159, 223)(145, 209, 170, 234)(147, 211, 173, 237)(148, 212, 175, 239)(150, 214, 179, 243)(151, 215, 181, 245)(152, 216, 183, 247)(154, 218, 185, 249)(155, 219, 171, 235)(156, 220, 186, 250)(158, 222, 174, 238)(160, 224, 178, 242)(162, 226, 172, 236)(164, 228, 188, 252)(166, 230, 184, 248)(167, 231, 176, 240)(168, 232, 187, 251)(169, 233, 189, 253)(177, 241, 190, 254)(180, 244, 192, 256)(182, 246, 191, 255)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 158)(12, 162)(13, 164)(14, 165)(15, 133)(16, 160)(17, 171)(18, 173)(19, 134)(20, 176)(21, 135)(22, 180)(23, 182)(24, 184)(25, 185)(26, 137)(27, 170)(28, 187)(29, 174)(30, 139)(31, 178)(32, 144)(33, 172)(34, 140)(35, 188)(36, 141)(37, 142)(38, 183)(39, 175)(40, 186)(41, 190)(42, 155)(43, 145)(44, 161)(45, 146)(46, 157)(47, 167)(48, 148)(49, 189)(50, 159)(51, 192)(52, 150)(53, 191)(54, 151)(55, 166)(56, 152)(57, 153)(58, 168)(59, 156)(60, 163)(61, 177)(62, 169)(63, 181)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1846
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^3 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^8, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^4, (Y2 * Y1^-1 * Y2 * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 39, 103, 56, 120, 52, 116, 31, 95, 11, 75)(4, 68, 12, 76, 24, 88, 8, 72, 23, 87, 15, 79, 19, 83, 13, 77)(7, 71, 20, 84, 38, 102, 57, 121, 55, 119, 36, 100, 14, 78, 22, 86)(10, 74, 27, 91, 48, 112, 26, 90, 47, 111, 30, 94, 40, 104, 28, 92)(21, 85, 43, 107, 35, 99, 42, 106, 33, 97, 46, 110, 32, 96, 44, 108)(25, 89, 41, 105, 58, 122, 64, 128, 63, 127, 54, 118, 29, 93, 45, 109)(49, 113, 60, 124, 53, 117, 59, 123, 51, 115, 62, 126, 50, 114, 61, 125)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 157, 221)(140, 204, 160, 224)(141, 205, 161, 225)(143, 207, 163, 227)(144, 208, 159, 223)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 169, 233)(150, 214, 173, 237)(151, 215, 175, 239)(152, 216, 176, 240)(154, 218, 177, 241)(155, 219, 178, 242)(156, 220, 179, 243)(158, 222, 181, 245)(162, 226, 183, 247)(164, 228, 182, 246)(165, 229, 184, 248)(167, 231, 186, 250)(170, 234, 187, 251)(171, 235, 188, 252)(172, 236, 189, 253)(174, 238, 190, 254)(180, 244, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 158)(12, 145)(13, 162)(14, 163)(15, 133)(16, 152)(17, 140)(18, 168)(19, 134)(20, 170)(21, 135)(22, 174)(23, 165)(24, 144)(25, 177)(26, 137)(27, 167)(28, 180)(29, 181)(30, 139)(31, 176)(32, 166)(33, 183)(34, 141)(35, 142)(36, 172)(37, 151)(38, 160)(39, 155)(40, 146)(41, 187)(42, 148)(43, 185)(44, 164)(45, 190)(46, 150)(47, 184)(48, 159)(49, 153)(50, 186)(51, 191)(52, 156)(53, 157)(54, 189)(55, 161)(56, 175)(57, 171)(58, 178)(59, 169)(60, 192)(61, 182)(62, 173)(63, 179)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1845
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4, (Y3 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 49, 113, 56, 120, 40, 104, 18, 82, 11, 75)(4, 68, 12, 76, 24, 88, 8, 72, 23, 87, 15, 79, 19, 83, 13, 77)(7, 71, 20, 84, 14, 78, 35, 99, 55, 119, 57, 121, 38, 102, 22, 86)(10, 74, 28, 92, 39, 103, 27, 91, 47, 111, 31, 95, 48, 112, 29, 93)(21, 85, 43, 107, 32, 96, 42, 106, 33, 97, 46, 110, 36, 100, 44, 108)(26, 90, 41, 105, 30, 94, 45, 109, 58, 122, 64, 128, 63, 127, 51, 115)(50, 114, 62, 126, 52, 116, 59, 123, 53, 117, 60, 124, 54, 118, 61, 125)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 158, 222)(140, 204, 160, 224)(141, 205, 161, 225)(143, 207, 164, 228)(144, 208, 153, 217)(145, 209, 166, 230)(147, 211, 167, 231)(148, 212, 169, 233)(150, 214, 173, 237)(151, 215, 175, 239)(152, 216, 176, 240)(155, 219, 178, 242)(156, 220, 180, 244)(157, 221, 181, 245)(159, 223, 182, 246)(162, 226, 183, 247)(163, 227, 179, 243)(165, 229, 184, 248)(168, 232, 186, 250)(170, 234, 187, 251)(171, 235, 188, 252)(172, 236, 189, 253)(174, 238, 190, 254)(177, 241, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 159)(12, 145)(13, 162)(14, 164)(15, 133)(16, 152)(17, 140)(18, 167)(19, 134)(20, 170)(21, 135)(22, 174)(23, 165)(24, 144)(25, 176)(26, 178)(27, 137)(28, 177)(29, 168)(30, 182)(31, 139)(32, 166)(33, 183)(34, 141)(35, 171)(36, 142)(37, 151)(38, 160)(39, 146)(40, 157)(41, 187)(42, 148)(43, 163)(44, 185)(45, 190)(46, 150)(47, 184)(48, 153)(49, 156)(50, 154)(51, 188)(52, 191)(53, 186)(54, 158)(55, 161)(56, 175)(57, 172)(58, 181)(59, 169)(60, 179)(61, 192)(62, 173)(63, 180)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1844
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^-2 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 27, 91, 11, 75)(4, 68, 17, 81, 28, 92, 12, 76)(6, 70, 20, 84, 29, 93, 9, 73)(7, 71, 21, 85, 30, 94, 10, 74)(14, 78, 37, 101, 26, 90, 35, 99)(15, 79, 38, 102, 24, 88, 32, 96)(16, 80, 36, 100, 51, 115, 41, 105)(18, 82, 39, 103, 25, 89, 34, 98)(19, 83, 40, 104, 23, 87, 31, 95)(22, 86, 33, 97, 52, 116, 48, 112)(42, 106, 58, 122, 46, 110, 59, 123)(43, 107, 55, 119, 50, 114, 56, 120)(44, 108, 54, 118, 45, 109, 60, 124)(47, 111, 53, 117, 49, 113, 57, 121)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 142, 206, 170, 234, 189, 253, 177, 241, 151, 215, 134, 198)(130, 194, 137, 201, 159, 223, 181, 245, 191, 255, 187, 251, 165, 229, 139, 203)(132, 196, 146, 210, 158, 222, 180, 244, 178, 242, 152, 216, 173, 237, 144, 208)(133, 197, 148, 212, 168, 232, 185, 249, 192, 256, 186, 250, 163, 227, 141, 205)(135, 199, 150, 214, 171, 235, 143, 207, 172, 236, 179, 243, 156, 220, 153, 217)(136, 200, 155, 219, 154, 218, 174, 238, 190, 254, 175, 239, 147, 211, 157, 221)(138, 202, 162, 226, 145, 209, 169, 233, 188, 252, 166, 230, 184, 248, 161, 225)(140, 204, 164, 228, 182, 246, 160, 224, 183, 247, 176, 240, 149, 213, 167, 231)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 149)(6, 150)(7, 129)(8, 156)(9, 160)(10, 163)(11, 164)(12, 130)(13, 169)(14, 158)(15, 157)(16, 131)(17, 133)(18, 170)(19, 172)(20, 166)(21, 165)(22, 175)(23, 173)(24, 134)(25, 174)(26, 135)(27, 152)(28, 151)(29, 180)(30, 136)(31, 145)(32, 141)(33, 137)(34, 181)(35, 183)(36, 186)(37, 184)(38, 139)(39, 185)(40, 140)(41, 187)(42, 179)(43, 142)(44, 189)(45, 190)(46, 144)(47, 146)(48, 148)(49, 153)(50, 154)(51, 155)(52, 177)(53, 176)(54, 159)(55, 191)(56, 192)(57, 161)(58, 162)(59, 167)(60, 168)(61, 178)(62, 171)(63, 188)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1842
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1853 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^4, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1)^2, Y3^4, Y2^-2 * R * Y2^2 * R, Y2 * Y1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 24, 88, 11, 75)(4, 68, 17, 81, 25, 89, 12, 76)(6, 70, 20, 84, 26, 90, 9, 73)(7, 71, 21, 85, 27, 91, 10, 74)(14, 78, 34, 98, 23, 87, 28, 92)(15, 79, 31, 95, 46, 110, 36, 100)(16, 80, 33, 97, 47, 111, 35, 99)(18, 82, 29, 93, 48, 112, 40, 104)(19, 83, 32, 96, 49, 113, 41, 105)(22, 86, 30, 94, 50, 114, 44, 108)(37, 101, 52, 116, 42, 106, 56, 120)(38, 102, 51, 115, 45, 109, 54, 118)(39, 103, 57, 121, 61, 125, 55, 119)(43, 107, 59, 123, 62, 126, 53, 117)(58, 122, 64, 128, 60, 124, 63, 127)(129, 193, 131, 195, 142, 206, 154, 218, 136, 200, 152, 216, 151, 215, 134, 198)(130, 194, 137, 201, 156, 220, 141, 205, 133, 197, 148, 212, 162, 226, 139, 203)(132, 196, 146, 210, 170, 234, 175, 239, 153, 217, 176, 240, 165, 229, 144, 208)(135, 199, 150, 214, 173, 237, 174, 238, 155, 219, 178, 242, 166, 230, 143, 207)(138, 202, 159, 223, 182, 246, 172, 236, 149, 213, 164, 228, 179, 243, 158, 222)(140, 204, 161, 225, 184, 248, 168, 232, 145, 209, 163, 227, 180, 244, 157, 221)(147, 211, 167, 231, 186, 250, 190, 254, 177, 241, 189, 253, 188, 252, 171, 235)(160, 224, 181, 245, 191, 255, 185, 249, 169, 233, 187, 251, 192, 256, 183, 247)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 149)(6, 150)(7, 129)(8, 153)(9, 157)(10, 160)(11, 161)(12, 130)(13, 163)(14, 165)(15, 167)(16, 131)(17, 133)(18, 134)(19, 135)(20, 168)(21, 169)(22, 171)(23, 170)(24, 174)(25, 177)(26, 178)(27, 136)(28, 179)(29, 181)(30, 137)(31, 139)(32, 140)(33, 183)(34, 182)(35, 185)(36, 141)(37, 186)(38, 142)(39, 144)(40, 187)(41, 145)(42, 188)(43, 146)(44, 148)(45, 151)(46, 189)(47, 152)(48, 154)(49, 155)(50, 190)(51, 191)(52, 156)(53, 158)(54, 192)(55, 159)(56, 162)(57, 164)(58, 166)(59, 172)(60, 173)(61, 175)(62, 176)(63, 180)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1843
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-2 * Y1)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 25, 89)(11, 75, 27, 91)(13, 77, 32, 96)(14, 78, 22, 86)(16, 80, 29, 93)(18, 82, 35, 99)(19, 83, 37, 101)(21, 85, 42, 106)(24, 88, 39, 103)(26, 90, 48, 112)(28, 92, 45, 109)(30, 94, 41, 105)(31, 95, 40, 104)(33, 97, 44, 108)(34, 98, 43, 107)(36, 100, 56, 120)(38, 102, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(49, 113, 57, 121)(50, 114, 58, 122)(51, 115, 59, 123)(52, 116, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 150, 214)(138, 202, 154, 218)(139, 203, 156, 220)(140, 204, 157, 221)(142, 206, 145, 209)(143, 207, 160, 224)(146, 210, 164, 228)(147, 211, 166, 230)(148, 212, 167, 231)(151, 215, 170, 234)(153, 217, 173, 237)(155, 219, 176, 240)(158, 222, 175, 239)(159, 223, 174, 238)(161, 225, 177, 241)(162, 226, 178, 242)(163, 227, 181, 245)(165, 229, 184, 248)(168, 232, 183, 247)(169, 233, 182, 246)(171, 235, 185, 249)(172, 236, 186, 250)(179, 243, 190, 254)(180, 244, 189, 253)(187, 251, 192, 256)(188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 147)(10, 145)(11, 131)(12, 158)(13, 161)(14, 133)(15, 159)(16, 162)(17, 139)(18, 137)(19, 134)(20, 168)(21, 171)(22, 136)(23, 169)(24, 172)(25, 174)(26, 177)(27, 175)(28, 178)(29, 179)(30, 143)(31, 140)(32, 180)(33, 144)(34, 141)(35, 182)(36, 185)(37, 183)(38, 186)(39, 187)(40, 151)(41, 148)(42, 188)(43, 152)(44, 149)(45, 189)(46, 155)(47, 153)(48, 190)(49, 156)(50, 154)(51, 160)(52, 157)(53, 191)(54, 165)(55, 163)(56, 192)(57, 166)(58, 164)(59, 170)(60, 167)(61, 176)(62, 173)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1864
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-2)^2, Y3^-1 * Y2 * Y3^3 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y1 * Y2 * Y1 * Y3 * Y2 * Y3, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y1 * Y2)^4, R * Y2 * Y1 * Y3^-2 * R * Y2 * Y1, Y3^-1 * Y2 * Y3 * R * Y1 * Y2 * R * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 18, 82)(7, 71, 21, 85)(8, 72, 24, 88)(10, 74, 28, 92)(11, 75, 31, 95)(13, 77, 36, 100)(14, 78, 23, 87)(16, 80, 38, 102)(17, 81, 26, 90)(19, 83, 40, 104)(20, 84, 43, 107)(22, 86, 48, 112)(25, 89, 50, 114)(27, 91, 39, 103)(29, 93, 53, 117)(30, 94, 45, 109)(32, 96, 55, 119)(33, 97, 42, 106)(34, 98, 46, 110)(35, 99, 47, 111)(37, 101, 49, 113)(41, 105, 59, 123)(44, 108, 61, 125)(51, 115, 60, 124)(52, 116, 62, 126)(54, 118, 57, 121)(56, 120, 58, 122)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 150, 214)(136, 200, 153, 217)(137, 201, 155, 219)(138, 202, 157, 221)(139, 203, 160, 224)(140, 204, 159, 223)(142, 206, 161, 225)(143, 207, 156, 220)(145, 209, 158, 222)(146, 210, 167, 231)(147, 211, 169, 233)(148, 212, 172, 236)(149, 213, 171, 235)(151, 215, 173, 237)(152, 216, 168, 232)(154, 218, 170, 234)(162, 226, 179, 243)(163, 227, 184, 248)(164, 228, 183, 247)(165, 229, 182, 246)(166, 230, 181, 245)(174, 238, 185, 249)(175, 239, 190, 254)(176, 240, 189, 253)(177, 241, 188, 252)(178, 242, 187, 251)(180, 244, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 147)(7, 151)(8, 130)(9, 153)(10, 158)(11, 131)(12, 162)(13, 146)(14, 157)(15, 163)(16, 161)(17, 133)(18, 144)(19, 170)(20, 134)(21, 174)(22, 137)(23, 169)(24, 175)(25, 173)(26, 136)(27, 172)(28, 179)(29, 167)(30, 141)(31, 180)(32, 145)(33, 139)(34, 181)(35, 140)(36, 184)(37, 143)(38, 182)(39, 160)(40, 185)(41, 155)(42, 150)(43, 186)(44, 154)(45, 148)(46, 187)(47, 149)(48, 190)(49, 152)(50, 188)(51, 164)(52, 156)(53, 191)(54, 159)(55, 165)(56, 166)(57, 176)(58, 168)(59, 192)(60, 171)(61, 177)(62, 178)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1865
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1734>$ (small group id <128, 1734>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, Y3 * Y2^-2 * Y3, Y3 * Y2^2 * Y3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 37, 101)(27, 91, 35, 99)(29, 93, 39, 103)(30, 94, 40, 104)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 56, 120)(48, 112, 55, 119)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 173, 237, 162, 226, 174, 238)(160, 224, 178, 242, 161, 225, 177, 241)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 181, 245, 172, 236, 182, 246)(170, 234, 186, 250, 171, 235, 185, 249)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1862
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^-2, Y2 * Y3^2 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 35, 99)(27, 91, 37, 101)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 56, 120)(48, 112, 55, 119)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 174, 238, 162, 226, 173, 237)(160, 224, 178, 242, 161, 225, 177, 241)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 182, 246, 172, 236, 181, 245)(170, 234, 186, 250, 171, 235, 185, 249)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1863
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1737>$ (small group id <128, 1737>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y2^4, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 29, 93)(14, 78, 34, 98)(15, 79, 31, 95)(16, 80, 28, 92)(17, 81, 25, 89)(19, 83, 27, 91)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 51, 115)(40, 104, 58, 122)(41, 105, 53, 117)(42, 106, 54, 118)(43, 107, 55, 119)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 188, 252, 174, 238, 187, 251)(184, 248, 191, 255, 186, 250, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 162)(12, 165)(13, 168)(14, 131)(15, 158)(16, 134)(17, 151)(18, 161)(19, 173)(20, 133)(21, 172)(22, 174)(23, 150)(24, 177)(25, 180)(26, 135)(27, 146)(28, 138)(29, 139)(30, 149)(31, 185)(32, 137)(33, 184)(34, 186)(35, 181)(36, 179)(37, 189)(38, 140)(39, 188)(40, 142)(41, 187)(42, 176)(43, 175)(44, 143)(45, 148)(46, 145)(47, 169)(48, 167)(49, 192)(50, 152)(51, 191)(52, 154)(53, 190)(54, 164)(55, 163)(56, 155)(57, 160)(58, 157)(59, 171)(60, 170)(61, 166)(62, 183)(63, 182)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1861
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y2 * Y1 * Y3^2 * Y2 * Y1, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1, Y2 * Y3^2 * Y2^2 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2^2 * Y3 * Y1 * Y2, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 31, 95)(14, 78, 32, 96)(15, 79, 29, 93)(16, 80, 28, 92)(17, 81, 27, 91)(19, 83, 25, 89)(20, 84, 26, 90)(21, 85, 34, 98)(22, 86, 33, 97)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 53, 117)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 156, 220, 146, 210, 163, 227)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 158, 222, 174, 238, 151, 215)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 186, 250, 172, 236, 188, 252)(171, 235, 185, 249, 173, 237, 187, 251)(181, 245, 190, 254, 183, 247, 192, 256)(182, 246, 189, 253, 184, 248, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 160)(12, 164)(13, 158)(14, 131)(15, 170)(16, 134)(17, 172)(18, 154)(19, 151)(20, 133)(21, 171)(22, 173)(23, 148)(24, 175)(25, 146)(26, 135)(27, 181)(28, 138)(29, 183)(30, 142)(31, 139)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1860
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^4, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3^-2 * Y1^-1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * R * Y2 * R * Y1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1^-2)^2, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 30, 94, 8, 72, 28, 92, 18, 82, 25, 89, 13, 77)(4, 68, 15, 79, 27, 91, 23, 87, 6, 70, 22, 86, 26, 90, 17, 81)(9, 73, 32, 96, 19, 83, 36, 100, 10, 74, 35, 99, 21, 85, 34, 98)(12, 76, 39, 103, 47, 111, 42, 106, 14, 78, 41, 105, 48, 112, 40, 104)(29, 93, 49, 113, 37, 101, 52, 116, 31, 95, 51, 115, 38, 102, 50, 114)(43, 107, 53, 117, 45, 109, 55, 119, 44, 108, 54, 118, 46, 110, 56, 120)(57, 121, 64, 128, 59, 123, 61, 125, 58, 122, 63, 127, 60, 124, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 152, 216)(141, 205, 161, 225)(143, 207, 168, 232)(144, 208, 156, 220)(145, 209, 167, 231)(147, 211, 165, 229)(148, 212, 158, 222)(149, 213, 166, 230)(150, 214, 170, 234)(151, 215, 169, 233)(154, 218, 176, 240)(155, 219, 175, 239)(160, 224, 178, 242)(162, 226, 177, 241)(163, 227, 180, 244)(164, 228, 179, 243)(171, 235, 188, 252)(172, 236, 187, 251)(173, 237, 186, 250)(174, 238, 185, 249)(181, 245, 192, 256)(182, 246, 191, 255)(183, 247, 190, 254)(184, 248, 189, 253)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 165)(12, 156)(13, 159)(14, 131)(15, 171)(16, 134)(17, 173)(18, 166)(19, 152)(20, 155)(21, 133)(22, 172)(23, 174)(24, 149)(25, 175)(26, 148)(27, 135)(28, 142)(29, 141)(30, 176)(31, 136)(32, 181)(33, 138)(34, 183)(35, 182)(36, 184)(37, 146)(38, 139)(39, 185)(40, 187)(41, 186)(42, 188)(43, 150)(44, 143)(45, 151)(46, 145)(47, 158)(48, 153)(49, 189)(50, 191)(51, 190)(52, 192)(53, 163)(54, 160)(55, 164)(56, 162)(57, 169)(58, 167)(59, 170)(60, 168)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1859
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1737>$ (small group id <128, 1737>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^2 * Y1^-2, Y2 * Y1^2 * Y2 * Y1^-2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^2 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 51, 115, 41, 105, 63, 127, 44, 108, 13, 77)(4, 68, 15, 79, 27, 91, 23, 87, 6, 70, 22, 86, 26, 90, 17, 81)(8, 72, 28, 92, 50, 114, 64, 128, 57, 121, 49, 113, 18, 82, 30, 94)(9, 73, 32, 96, 19, 83, 36, 100, 10, 74, 35, 99, 21, 85, 34, 98)(12, 76, 40, 104, 53, 117, 29, 93, 14, 78, 46, 110, 52, 116, 31, 95)(37, 101, 54, 118, 47, 111, 61, 125, 48, 112, 62, 126, 42, 106, 58, 122)(38, 102, 60, 124, 43, 107, 55, 119, 39, 103, 59, 123, 45, 109, 56, 120)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 170, 234)(143, 207, 171, 235)(144, 208, 169, 233)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 172, 236)(149, 213, 174, 238)(150, 214, 173, 237)(151, 215, 167, 231)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 180, 244)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 187, 251)(161, 225, 185, 249)(162, 226, 183, 247)(163, 227, 188, 252)(164, 228, 184, 248)(175, 239, 179, 243)(176, 240, 191, 255)(177, 241, 190, 254)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 169)(13, 171)(14, 131)(15, 170)(16, 134)(17, 165)(18, 174)(19, 152)(20, 155)(21, 133)(22, 175)(23, 176)(24, 149)(25, 180)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 186)(33, 138)(34, 182)(35, 189)(36, 190)(37, 151)(38, 191)(39, 139)(40, 146)(41, 142)(42, 150)(43, 179)(44, 181)(45, 141)(46, 178)(47, 143)(48, 145)(49, 184)(50, 168)(51, 173)(52, 172)(53, 153)(54, 164)(55, 177)(56, 156)(57, 159)(58, 163)(59, 192)(60, 158)(61, 160)(62, 162)(63, 167)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1858
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1734>$ (small group id <128, 1734>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 18, 82, 5, 69)(3, 67, 11, 75, 21, 85, 41, 105, 33, 97, 53, 117, 35, 99, 13, 77)(4, 68, 15, 79, 23, 87, 10, 74, 6, 70, 19, 83, 22, 86, 9, 73)(8, 72, 24, 88, 40, 104, 57, 121, 48, 112, 39, 103, 17, 81, 26, 90)(12, 76, 32, 96, 43, 107, 31, 95, 14, 78, 36, 100, 42, 106, 30, 94)(25, 89, 47, 111, 38, 102, 46, 110, 27, 91, 50, 114, 37, 101, 45, 109)(29, 93, 44, 108, 58, 122, 64, 128, 63, 127, 56, 120, 34, 98, 49, 113)(51, 115, 62, 126, 55, 119, 60, 124, 52, 116, 61, 125, 54, 118, 59, 123)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 157, 221)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 161, 225)(146, 210, 163, 227)(147, 211, 166, 230)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(158, 222, 180, 244)(159, 223, 179, 243)(160, 224, 182, 246)(164, 228, 183, 247)(167, 231, 184, 248)(169, 233, 186, 250)(173, 237, 188, 252)(174, 238, 187, 251)(175, 239, 189, 253)(178, 242, 190, 254)(181, 245, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 158)(12, 161)(13, 160)(14, 131)(15, 148)(16, 134)(17, 166)(18, 151)(19, 133)(20, 147)(21, 170)(22, 146)(23, 135)(24, 173)(25, 176)(26, 175)(27, 136)(28, 138)(29, 179)(30, 181)(31, 139)(32, 169)(33, 142)(34, 183)(35, 171)(36, 141)(37, 145)(38, 168)(39, 174)(40, 165)(41, 164)(42, 163)(43, 149)(44, 187)(45, 167)(46, 152)(47, 185)(48, 155)(49, 190)(50, 154)(51, 191)(52, 157)(53, 159)(54, 162)(55, 186)(56, 188)(57, 178)(58, 182)(59, 184)(60, 172)(61, 177)(62, 192)(63, 180)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1856
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y3^4, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1^-3 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 18, 82, 5, 69)(3, 67, 11, 75, 29, 93, 51, 115, 34, 98, 42, 106, 21, 85, 13, 77)(4, 68, 15, 79, 23, 87, 10, 74, 6, 70, 19, 83, 22, 86, 9, 73)(8, 72, 24, 88, 17, 81, 38, 102, 48, 112, 57, 121, 40, 104, 26, 90)(12, 76, 33, 97, 41, 105, 32, 96, 14, 78, 36, 100, 43, 107, 31, 95)(25, 89, 47, 111, 37, 101, 46, 110, 27, 91, 50, 114, 39, 103, 45, 109)(30, 94, 44, 108, 35, 99, 49, 113, 58, 122, 64, 128, 63, 127, 53, 117)(52, 116, 61, 125, 55, 119, 60, 124, 54, 118, 62, 126, 56, 120, 59, 123)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 163, 227)(143, 207, 165, 229)(144, 208, 162, 226)(146, 210, 157, 221)(147, 211, 167, 231)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 169, 233)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(159, 223, 182, 246)(160, 224, 180, 244)(161, 225, 183, 247)(164, 228, 184, 248)(166, 230, 181, 245)(170, 234, 186, 250)(173, 237, 188, 252)(174, 238, 187, 251)(175, 239, 189, 253)(178, 242, 190, 254)(179, 243, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 162)(13, 161)(14, 131)(15, 148)(16, 134)(17, 167)(18, 151)(19, 133)(20, 147)(21, 169)(22, 146)(23, 135)(24, 173)(25, 176)(26, 175)(27, 136)(28, 138)(29, 171)(30, 180)(31, 170)(32, 139)(33, 179)(34, 142)(35, 184)(36, 141)(37, 145)(38, 178)(39, 168)(40, 165)(41, 157)(42, 160)(43, 149)(44, 187)(45, 185)(46, 152)(47, 166)(48, 155)(49, 190)(50, 154)(51, 164)(52, 186)(53, 189)(54, 158)(55, 163)(56, 191)(57, 174)(58, 182)(59, 192)(60, 172)(61, 177)(62, 181)(63, 183)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1857
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^-2 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, Y1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1, Y2^-1 * R * Y2^-1 * R * Y1^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^3 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1^-1 * Y3^-1 * Y1 * Y3, Y3 * Y2^-3 * Y3 * Y2, Y2^-1 * Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 31, 95, 16, 80)(4, 68, 18, 82, 32, 96, 12, 76)(6, 70, 24, 88, 33, 97, 26, 90)(7, 71, 22, 86, 34, 98, 10, 74)(9, 73, 35, 99, 21, 85, 38, 102)(11, 75, 42, 106, 23, 87, 44, 108)(14, 78, 45, 109, 20, 84, 48, 112)(15, 79, 40, 104, 19, 83, 37, 101)(17, 81, 54, 118, 25, 89, 50, 114)(27, 91, 36, 100, 30, 94, 41, 105)(28, 92, 47, 111, 29, 93, 46, 110)(39, 103, 62, 126, 43, 107, 58, 122)(49, 113, 57, 121, 53, 117, 61, 125)(51, 115, 64, 128, 52, 116, 63, 127)(55, 119, 60, 124, 56, 120, 59, 123)(129, 193, 131, 195, 142, 206, 163, 227, 185, 249, 170, 234, 155, 219, 134, 198)(130, 194, 137, 201, 164, 228, 144, 208, 181, 245, 154, 218, 173, 237, 139, 203)(132, 196, 147, 211, 179, 243, 190, 254, 184, 248, 156, 220, 162, 226, 145, 209)(133, 197, 149, 213, 169, 233, 141, 205, 177, 241, 152, 216, 176, 240, 151, 215)(135, 199, 153, 217, 160, 224, 143, 207, 180, 244, 186, 250, 183, 247, 157, 221)(136, 200, 159, 223, 148, 212, 166, 230, 189, 253, 172, 236, 158, 222, 161, 225)(138, 202, 168, 232, 187, 251, 178, 242, 192, 256, 174, 238, 146, 210, 167, 231)(140, 204, 171, 235, 150, 214, 165, 229, 188, 252, 182, 246, 191, 255, 175, 239)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 160)(9, 165)(10, 169)(11, 171)(12, 130)(13, 178)(14, 179)(15, 166)(16, 182)(17, 131)(18, 133)(19, 163)(20, 180)(21, 168)(22, 164)(23, 167)(24, 174)(25, 159)(26, 175)(27, 162)(28, 134)(29, 161)(30, 135)(31, 147)(32, 142)(33, 145)(34, 136)(35, 186)(36, 187)(37, 141)(38, 190)(39, 137)(40, 144)(41, 188)(42, 157)(43, 149)(44, 156)(45, 146)(46, 139)(47, 151)(48, 140)(49, 191)(50, 154)(51, 189)(52, 185)(53, 192)(54, 152)(55, 155)(56, 158)(57, 184)(58, 172)(59, 177)(60, 181)(61, 183)(62, 170)(63, 173)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1854
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x Q16) : C2 (small group id <64, 133>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^4, (Y2^-1 * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-3, Y1^-1 * Y3^-4 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * R * Y1^-1 * Y2^-2 * R * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 11, 75, 27, 91, 15, 79)(4, 68, 17, 81, 28, 92, 12, 76)(6, 70, 9, 73, 29, 93, 20, 84)(7, 71, 21, 85, 30, 94, 10, 74)(13, 77, 37, 101, 23, 87, 31, 95)(14, 78, 34, 98, 25, 89, 38, 102)(16, 80, 44, 108, 51, 115, 36, 100)(18, 82, 32, 96, 24, 88, 39, 103)(19, 83, 40, 104, 26, 90, 35, 99)(22, 86, 48, 112, 52, 116, 33, 97)(41, 105, 54, 118, 45, 109, 59, 123)(42, 106, 53, 117, 49, 113, 56, 120)(43, 107, 60, 124, 46, 110, 58, 122)(47, 111, 57, 121, 50, 114, 55, 119)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 141, 205, 157, 221, 136, 200, 155, 219, 151, 215, 134, 198)(130, 194, 137, 201, 159, 223, 143, 207, 133, 197, 148, 212, 165, 229, 139, 203)(132, 196, 146, 210, 169, 233, 179, 243, 156, 220, 152, 216, 173, 237, 144, 208)(135, 199, 150, 214, 170, 234, 142, 206, 158, 222, 180, 244, 177, 241, 153, 217)(138, 202, 162, 226, 181, 245, 176, 240, 149, 213, 166, 230, 184, 248, 161, 225)(140, 204, 164, 228, 182, 246, 160, 224, 145, 209, 172, 236, 187, 251, 167, 231)(147, 211, 171, 235, 189, 253, 178, 242, 154, 218, 174, 238, 190, 254, 175, 239)(163, 227, 183, 247, 191, 255, 188, 252, 168, 232, 185, 249, 192, 256, 186, 250)
	L = (1, 132)(2, 138)(3, 142)(4, 147)(5, 149)(6, 150)(7, 129)(8, 156)(9, 160)(10, 163)(11, 164)(12, 130)(13, 169)(14, 171)(15, 172)(16, 131)(17, 133)(18, 157)(19, 158)(20, 167)(21, 168)(22, 175)(23, 173)(24, 134)(25, 174)(26, 135)(27, 153)(28, 154)(29, 180)(30, 136)(31, 181)(32, 183)(33, 137)(34, 143)(35, 145)(36, 186)(37, 184)(38, 139)(39, 185)(40, 140)(41, 189)(42, 141)(43, 179)(44, 188)(45, 190)(46, 144)(47, 146)(48, 148)(49, 151)(50, 152)(51, 155)(52, 178)(53, 191)(54, 159)(55, 176)(56, 192)(57, 161)(58, 162)(59, 165)(60, 166)(61, 177)(62, 170)(63, 187)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1855
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y2)^4, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 27, 91)(18, 82, 35, 99)(19, 83, 24, 88)(20, 84, 38, 102)(22, 86, 42, 106)(26, 90, 47, 111)(28, 92, 50, 114)(30, 94, 54, 118)(31, 95, 45, 109)(32, 96, 52, 116)(33, 97, 43, 107)(34, 98, 51, 115)(36, 100, 48, 112)(37, 101, 53, 117)(39, 103, 46, 110)(40, 104, 44, 108)(41, 105, 49, 113)(55, 119, 64, 128)(56, 120, 61, 125)(57, 121, 63, 127)(58, 122, 62, 126)(59, 123, 60, 124)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 160, 224)(145, 209, 161, 225)(148, 212, 167, 231)(149, 213, 168, 232)(150, 214, 164, 228)(152, 216, 172, 236)(153, 217, 173, 237)(156, 220, 179, 243)(157, 221, 180, 244)(158, 222, 176, 240)(159, 223, 183, 247)(162, 226, 186, 250)(163, 227, 187, 251)(165, 229, 178, 242)(166, 230, 177, 241)(169, 233, 185, 249)(170, 234, 184, 248)(171, 235, 188, 252)(174, 238, 191, 255)(175, 239, 192, 256)(181, 245, 190, 254)(182, 246, 189, 253)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 159)(16, 135)(17, 162)(18, 164)(19, 165)(20, 137)(21, 169)(22, 138)(23, 171)(24, 139)(25, 174)(26, 176)(27, 177)(28, 141)(29, 181)(30, 142)(31, 143)(32, 184)(33, 185)(34, 145)(35, 178)(36, 146)(37, 147)(38, 175)(39, 187)(40, 186)(41, 149)(42, 183)(43, 151)(44, 189)(45, 190)(46, 153)(47, 166)(48, 154)(49, 155)(50, 163)(51, 192)(52, 191)(53, 157)(54, 188)(55, 170)(56, 160)(57, 161)(58, 168)(59, 167)(60, 182)(61, 172)(62, 173)(63, 180)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1881
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 43, 107)(27, 91, 33, 97)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 32, 96)(35, 99, 52, 116)(41, 105, 56, 120)(42, 106, 53, 117)(44, 108, 51, 115)(45, 109, 57, 121)(46, 110, 58, 122)(47, 111, 50, 114)(48, 112, 54, 118)(49, 113, 55, 119)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 176, 240)(157, 221, 177, 241)(160, 224, 178, 242)(161, 225, 179, 243)(162, 226, 181, 245)(164, 228, 184, 248)(166, 230, 185, 249)(167, 231, 186, 250)(171, 235, 187, 251)(173, 237, 188, 252)(174, 238, 189, 253)(180, 244, 190, 254)(182, 246, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 178)(32, 180)(33, 143)(34, 182)(35, 145)(36, 183)(37, 185)(38, 148)(39, 146)(40, 186)(41, 187)(42, 149)(43, 151)(44, 188)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 190)(51, 159)(52, 161)(53, 191)(54, 164)(55, 162)(56, 192)(57, 168)(58, 165)(59, 170)(60, 175)(61, 172)(62, 179)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1880
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y3^2 * Y2^-1 * Y3^2 * Y2, (Y3^-1 * Y2 * Y1)^2, (Y3^-1 * Y2^-2)^2, Y3^2 * Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y3^-1 * Y2^-1 * Y1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 34, 98)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 33, 97)(20, 84, 27, 91)(21, 85, 31, 95)(22, 86, 25, 89)(24, 88, 52, 116)(35, 99, 50, 114)(36, 100, 63, 127)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 62, 126)(42, 106, 59, 123)(43, 107, 58, 122)(44, 108, 57, 121)(45, 109, 61, 125)(46, 110, 60, 124)(47, 111, 56, 120)(48, 112, 51, 115)(49, 113, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 188, 252, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 190, 254, 177, 241)(151, 215, 178, 242, 173, 237, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 175, 239, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 166)(13, 169)(14, 131)(15, 173)(16, 134)(17, 175)(18, 155)(19, 174)(20, 133)(21, 158)(22, 151)(23, 145)(24, 181)(25, 184)(26, 135)(27, 188)(28, 138)(29, 190)(30, 143)(31, 189)(32, 137)(33, 146)(34, 139)(35, 185)(36, 186)(37, 182)(38, 180)(39, 140)(40, 179)(41, 142)(42, 192)(43, 191)(44, 178)(45, 149)(46, 148)(47, 150)(48, 183)(49, 187)(50, 170)(51, 171)(52, 167)(53, 165)(54, 152)(55, 164)(56, 154)(57, 177)(58, 176)(59, 163)(60, 161)(61, 160)(62, 162)(63, 168)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1877
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y3 * Y2 * Y1)^2, Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 20, 84)(12, 76, 22, 86)(13, 77, 18, 82)(15, 79, 19, 83)(17, 81, 36, 100)(23, 87, 34, 98)(24, 88, 41, 105)(26, 90, 40, 104)(27, 91, 44, 108)(28, 92, 39, 103)(29, 93, 37, 101)(30, 94, 35, 99)(31, 95, 42, 106)(32, 96, 43, 107)(33, 97, 38, 102)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 59, 123)(48, 112, 60, 124)(49, 113, 58, 122)(50, 114, 57, 121)(51, 115, 55, 119)(52, 116, 56, 120)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 148)(10, 154)(11, 131)(12, 149)(13, 144)(14, 147)(15, 133)(16, 141)(17, 165)(18, 134)(19, 142)(20, 137)(21, 140)(22, 136)(23, 167)(24, 172)(25, 168)(26, 138)(27, 169)(28, 162)(29, 164)(30, 166)(31, 171)(32, 170)(33, 163)(34, 156)(35, 161)(36, 157)(37, 145)(38, 158)(39, 151)(40, 153)(41, 155)(42, 160)(43, 159)(44, 152)(45, 185)(46, 186)(47, 188)(48, 187)(49, 181)(50, 182)(51, 184)(52, 183)(53, 177)(54, 178)(55, 180)(56, 179)(57, 173)(58, 174)(59, 176)(60, 175)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1876
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^4, (Y3^-1 * Y2^-2)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 28, 92)(13, 77, 27, 91)(14, 78, 30, 94)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 23, 87)(18, 82, 22, 86)(19, 83, 26, 90)(20, 84, 24, 88)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 45, 109)(34, 98, 52, 116)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 49, 113)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 46, 110)(41, 105, 50, 114)(42, 106, 51, 115)(55, 119, 60, 124)(56, 120, 62, 126)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 160, 224, 144, 208)(134, 198, 147, 211, 159, 223, 148, 212)(136, 200, 152, 216, 172, 236, 154, 218)(138, 202, 157, 221, 171, 235, 158, 222)(140, 204, 161, 225, 146, 210, 163, 227)(141, 205, 164, 228, 145, 209, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 156, 220, 175, 239)(151, 215, 176, 240, 155, 219, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 184, 248, 170, 234, 187, 251)(167, 231, 185, 249, 169, 233, 186, 250)(178, 242, 189, 253, 182, 246, 192, 256)(179, 243, 190, 254, 181, 245, 191, 255)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1874
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 8, 72)(4, 68, 7, 71)(5, 69, 6, 70)(9, 73, 14, 78)(10, 74, 18, 82)(11, 75, 17, 81)(12, 76, 16, 80)(13, 77, 15, 79)(19, 83, 27, 91)(20, 84, 34, 98)(21, 85, 33, 97)(22, 86, 30, 94)(23, 87, 32, 96)(24, 88, 31, 95)(25, 89, 29, 93)(26, 90, 28, 92)(35, 99, 45, 109)(36, 100, 44, 108)(37, 101, 52, 116)(38, 102, 51, 115)(39, 103, 50, 114)(40, 104, 49, 113)(41, 105, 48, 112)(42, 106, 47, 111)(43, 107, 46, 110)(53, 117, 58, 122)(54, 118, 60, 124)(55, 119, 59, 123)(56, 120, 62, 126)(57, 121, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 171, 235, 154, 218)(143, 207, 156, 220, 174, 238, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 166, 230, 182, 246, 169, 233)(152, 216, 167, 231, 183, 247, 170, 234)(155, 219, 172, 236, 186, 250, 173, 237)(159, 223, 175, 239, 187, 251, 178, 242)(160, 224, 176, 240, 188, 252, 179, 243)(168, 232, 184, 248, 191, 255, 185, 249)(177, 241, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 169)(26, 170)(27, 142)(28, 175)(29, 176)(30, 177)(31, 144)(32, 145)(33, 178)(34, 179)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 153)(42, 154)(43, 185)(44, 187)(45, 188)(46, 189)(47, 156)(48, 157)(49, 158)(50, 161)(51, 162)(52, 190)(53, 191)(54, 163)(55, 164)(56, 165)(57, 171)(58, 192)(59, 172)(60, 173)(61, 174)(62, 180)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1875
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3^-2 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 33, 97)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 34, 98)(20, 84, 27, 91)(21, 85, 25, 89)(22, 86, 31, 95)(35, 99, 48, 112)(36, 100, 47, 111)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 55, 119)(42, 106, 51, 115)(43, 107, 53, 117)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 173, 237, 187, 251, 168, 232)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 185, 249, 190, 254, 180, 244)(172, 236, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 155)(19, 173)(20, 133)(21, 151)(22, 158)(23, 145)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 143)(31, 185)(32, 137)(33, 139)(34, 146)(35, 179)(36, 181)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 176)(43, 175)(44, 150)(45, 148)(46, 149)(47, 167)(48, 169)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 164)(55, 163)(56, 162)(57, 160)(58, 161)(59, 166)(60, 171)(61, 170)(62, 178)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1878
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y2^-1 * Y3^-2)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y1)^2, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y3^-1 * Y2^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 34, 98)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 33, 97)(20, 84, 29, 93)(21, 85, 31, 95)(22, 86, 25, 89)(35, 99, 48, 112)(36, 100, 47, 111)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 54, 118)(40, 104, 56, 120)(41, 105, 55, 119)(42, 106, 51, 115)(43, 107, 53, 117)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 173, 237, 187, 251, 168, 232)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 185, 249, 190, 254, 180, 244)(172, 236, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 157)(19, 173)(20, 133)(21, 158)(22, 151)(23, 143)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 145)(31, 185)(32, 137)(33, 146)(34, 139)(35, 181)(36, 179)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 175)(43, 176)(44, 150)(45, 148)(46, 149)(47, 169)(48, 167)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 163)(55, 164)(56, 162)(57, 160)(58, 161)(59, 166)(60, 171)(61, 170)(62, 178)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1879
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, (Y1 * Y3^-1 * Y1)^2, (Y1 * Y3 * Y1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 15, 79, 29, 93, 18, 82, 5, 69)(3, 67, 11, 75, 33, 97, 49, 113, 37, 101, 45, 109, 23, 87, 8, 72)(4, 68, 14, 78, 24, 88, 21, 85, 6, 70, 20, 84, 25, 89, 16, 80)(9, 73, 28, 92, 19, 83, 32, 96, 10, 74, 31, 95, 17, 81, 30, 94)(12, 76, 36, 100, 47, 111, 40, 104, 13, 77, 39, 103, 46, 110, 38, 102)(26, 90, 48, 112, 34, 98, 52, 116, 27, 91, 51, 115, 35, 99, 50, 114)(41, 105, 54, 118, 44, 108, 55, 119, 42, 106, 53, 117, 43, 107, 56, 120)(57, 121, 63, 127, 60, 124, 61, 125, 58, 122, 64, 128, 59, 123, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 168, 232)(143, 207, 165, 229)(144, 208, 167, 231)(145, 209, 163, 227)(146, 210, 161, 225)(147, 211, 162, 226)(148, 212, 166, 230)(149, 213, 164, 228)(150, 214, 173, 237)(152, 216, 175, 239)(153, 217, 174, 238)(156, 220, 180, 244)(157, 221, 177, 241)(158, 222, 179, 243)(159, 223, 178, 242)(160, 224, 176, 240)(169, 233, 187, 251)(170, 234, 188, 252)(171, 235, 185, 249)(172, 236, 186, 250)(181, 245, 191, 255)(182, 246, 192, 256)(183, 247, 189, 253)(184, 248, 190, 254)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 165)(13, 131)(14, 169)(15, 134)(16, 171)(17, 150)(18, 153)(19, 133)(20, 170)(21, 172)(22, 147)(23, 174)(24, 146)(25, 135)(26, 177)(27, 136)(28, 181)(29, 138)(30, 183)(31, 182)(32, 184)(33, 175)(34, 173)(35, 139)(36, 185)(37, 141)(38, 187)(39, 186)(40, 188)(41, 148)(42, 142)(43, 149)(44, 144)(45, 163)(46, 161)(47, 151)(48, 189)(49, 155)(50, 191)(51, 190)(52, 192)(53, 159)(54, 156)(55, 160)(56, 158)(57, 167)(58, 164)(59, 168)(60, 166)(61, 179)(62, 176)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1870
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y1^8, (Y1^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 15, 79, 30, 94, 29, 93, 14, 78, 5, 69)(3, 67, 9, 73, 21, 85, 39, 103, 48, 112, 31, 95, 16, 80, 7, 71)(4, 68, 11, 75, 17, 81, 34, 98, 49, 113, 46, 110, 27, 91, 12, 76)(8, 72, 19, 83, 32, 96, 51, 115, 47, 111, 28, 92, 13, 77, 20, 84)(10, 74, 23, 87, 40, 104, 58, 122, 61, 125, 52, 116, 33, 97, 24, 88)(18, 82, 35, 99, 22, 86, 41, 105, 57, 121, 62, 126, 50, 114, 36, 100)(25, 89, 44, 108, 53, 117, 38, 102, 56, 120, 37, 101, 26, 90, 45, 109)(42, 106, 55, 119, 64, 128, 54, 118, 63, 127, 59, 123, 43, 107, 60, 124)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 137, 201)(134, 198, 144, 208)(136, 200, 146, 210)(139, 203, 152, 216)(140, 204, 151, 215)(141, 205, 150, 214)(142, 206, 149, 213)(143, 207, 159, 223)(145, 209, 161, 225)(147, 211, 164, 228)(148, 212, 163, 227)(153, 217, 171, 235)(154, 218, 170, 234)(155, 219, 168, 232)(156, 220, 169, 233)(157, 221, 167, 231)(158, 222, 176, 240)(160, 224, 178, 242)(162, 226, 180, 244)(165, 229, 183, 247)(166, 230, 182, 246)(172, 236, 187, 251)(173, 237, 188, 252)(174, 238, 186, 250)(175, 239, 185, 249)(177, 241, 189, 253)(179, 243, 190, 254)(181, 245, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 141)(6, 145)(7, 146)(8, 130)(9, 150)(10, 131)(11, 153)(12, 154)(13, 133)(14, 155)(15, 160)(16, 161)(17, 134)(18, 135)(19, 165)(20, 166)(21, 168)(22, 137)(23, 170)(24, 171)(25, 139)(26, 140)(27, 142)(28, 172)(29, 175)(30, 177)(31, 178)(32, 143)(33, 144)(34, 181)(35, 182)(36, 183)(37, 147)(38, 148)(39, 185)(40, 149)(41, 187)(42, 151)(43, 152)(44, 156)(45, 179)(46, 184)(47, 157)(48, 189)(49, 158)(50, 159)(51, 173)(52, 191)(53, 162)(54, 163)(55, 164)(56, 174)(57, 167)(58, 192)(59, 169)(60, 190)(61, 176)(62, 188)(63, 180)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1871
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y1^-1 * Y2 * Y1 * Y2)^2, Y1^8, (Y1^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 45, 109, 54, 118, 39, 103, 18, 82, 11, 75)(4, 68, 12, 76, 19, 83, 40, 104, 55, 119, 51, 115, 31, 95, 13, 77)(7, 71, 20, 84, 14, 78, 32, 96, 52, 116, 57, 121, 36, 100, 22, 86)(8, 72, 23, 87, 37, 101, 58, 122, 53, 117, 33, 97, 15, 79, 24, 88)(10, 74, 28, 92, 46, 110, 63, 127, 64, 128, 56, 120, 38, 102, 21, 85)(26, 90, 47, 111, 29, 93, 49, 113, 59, 123, 41, 105, 61, 125, 43, 107)(27, 91, 44, 108, 62, 126, 42, 106, 60, 124, 50, 114, 30, 94, 48, 112)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 157, 221)(140, 204, 158, 222)(141, 205, 155, 219)(143, 207, 156, 220)(144, 208, 153, 217)(145, 209, 164, 228)(147, 211, 166, 230)(148, 212, 169, 233)(150, 214, 171, 235)(151, 215, 172, 236)(152, 216, 170, 234)(159, 223, 174, 238)(160, 224, 177, 241)(161, 225, 178, 242)(162, 226, 180, 244)(163, 227, 182, 246)(165, 229, 184, 248)(167, 231, 187, 251)(168, 232, 188, 252)(173, 237, 189, 253)(175, 239, 185, 249)(176, 240, 186, 250)(179, 243, 190, 254)(181, 245, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 158)(12, 157)(13, 154)(14, 156)(15, 133)(16, 159)(17, 165)(18, 166)(19, 134)(20, 170)(21, 135)(22, 172)(23, 171)(24, 169)(25, 174)(26, 141)(27, 137)(28, 142)(29, 140)(30, 139)(31, 144)(32, 178)(33, 177)(34, 181)(35, 183)(36, 184)(37, 145)(38, 146)(39, 188)(40, 187)(41, 152)(42, 148)(43, 151)(44, 150)(45, 190)(46, 153)(47, 186)(48, 185)(49, 161)(50, 160)(51, 189)(52, 191)(53, 162)(54, 192)(55, 163)(56, 164)(57, 176)(58, 175)(59, 168)(60, 167)(61, 179)(62, 173)(63, 180)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1869
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^4, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^2)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y3 * Y2 * Y1^-1)^2, (Y2 * Y1^-2)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 63, 127, 42, 106, 52, 116, 25, 89, 13, 77)(4, 68, 15, 79, 26, 90, 23, 87, 6, 70, 22, 86, 27, 91, 17, 81)(8, 72, 28, 92, 18, 82, 49, 113, 57, 121, 64, 128, 50, 114, 30, 94)(9, 73, 32, 96, 21, 85, 36, 100, 10, 74, 35, 99, 19, 83, 34, 98)(12, 76, 41, 105, 53, 117, 31, 95, 14, 78, 46, 110, 51, 115, 29, 93)(38, 102, 62, 126, 43, 107, 61, 125, 48, 112, 54, 118, 47, 111, 58, 122)(39, 103, 59, 123, 45, 109, 55, 119, 40, 104, 60, 124, 44, 108, 56, 120)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 173, 237)(144, 208, 170, 234)(145, 209, 168, 232)(147, 211, 174, 238)(148, 212, 165, 229)(149, 213, 169, 233)(150, 214, 172, 236)(151, 215, 167, 231)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 179, 243)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 188, 252)(161, 225, 185, 249)(162, 226, 184, 248)(163, 227, 187, 251)(164, 228, 183, 247)(175, 239, 191, 255)(176, 240, 180, 244)(177, 241, 189, 253)(190, 254, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 170)(13, 172)(14, 131)(15, 175)(16, 134)(17, 176)(18, 169)(19, 152)(20, 155)(21, 133)(22, 171)(23, 166)(24, 149)(25, 179)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 189)(33, 138)(34, 190)(35, 186)(36, 182)(37, 181)(38, 145)(39, 180)(40, 139)(41, 178)(42, 142)(43, 143)(44, 191)(45, 141)(46, 146)(47, 150)(48, 151)(49, 188)(50, 174)(51, 165)(52, 168)(53, 153)(54, 162)(55, 192)(56, 156)(57, 159)(58, 160)(59, 177)(60, 158)(61, 163)(62, 164)(63, 173)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1868
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, Y3^4, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y2 * Y1^-2)^2, (Y1^-1 * R * Y2)^2, Y1^8, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 46, 110, 43, 107, 19, 83, 5, 69)(3, 67, 11, 75, 33, 97, 59, 123, 62, 126, 50, 114, 23, 87, 13, 77)(4, 68, 15, 79, 24, 88, 52, 116, 45, 109, 20, 84, 32, 96, 10, 74)(6, 70, 18, 82, 25, 89, 9, 73, 30, 94, 48, 112, 44, 108, 21, 85)(8, 72, 26, 90, 17, 81, 42, 106, 61, 125, 63, 127, 47, 111, 28, 92)(12, 76, 37, 101, 56, 120, 27, 91, 57, 121, 40, 104, 49, 113, 36, 100)(14, 78, 39, 103, 55, 119, 35, 99, 60, 124, 64, 128, 51, 115, 29, 93)(16, 80, 34, 98, 53, 117, 38, 102, 58, 122, 31, 95, 54, 118, 41, 105)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 157, 221)(138, 202, 155, 219)(139, 203, 162, 226)(141, 205, 166, 230)(143, 207, 165, 229)(144, 208, 156, 220)(146, 210, 167, 231)(147, 211, 161, 225)(148, 212, 168, 232)(149, 213, 163, 227)(150, 214, 175, 239)(152, 216, 179, 243)(153, 217, 177, 241)(154, 218, 182, 246)(158, 222, 185, 249)(159, 223, 178, 242)(160, 224, 183, 247)(164, 228, 180, 244)(169, 233, 187, 251)(170, 234, 186, 250)(171, 235, 189, 253)(172, 236, 184, 248)(173, 237, 188, 252)(174, 238, 190, 254)(176, 240, 192, 256)(181, 245, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 152)(8, 155)(9, 159)(10, 130)(11, 163)(12, 156)(13, 167)(14, 131)(15, 150)(16, 134)(17, 168)(18, 166)(19, 160)(20, 133)(21, 162)(22, 176)(23, 177)(24, 181)(25, 135)(26, 183)(27, 178)(28, 142)(29, 136)(30, 174)(31, 138)(32, 182)(33, 184)(34, 180)(35, 189)(36, 139)(37, 187)(38, 148)(39, 145)(40, 141)(41, 143)(42, 188)(43, 149)(44, 147)(45, 186)(46, 173)(47, 165)(48, 169)(49, 191)(50, 157)(51, 151)(52, 171)(53, 153)(54, 172)(55, 161)(56, 154)(57, 170)(58, 158)(59, 192)(60, 190)(61, 164)(62, 185)(63, 179)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1872
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, R * Y2 * R * Y3^-2 * Y2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3 * Y1 * Y3 * Y1^-3, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y3 * Y1 * Y3 * Y1^5 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 46, 110, 43, 107, 19, 83, 5, 69)(3, 67, 11, 75, 33, 97, 59, 123, 62, 126, 50, 114, 23, 87, 13, 77)(4, 68, 15, 79, 24, 88, 52, 116, 45, 109, 20, 84, 32, 96, 10, 74)(6, 70, 18, 82, 25, 89, 9, 73, 30, 94, 48, 112, 44, 108, 21, 85)(8, 72, 26, 90, 17, 81, 35, 99, 61, 125, 63, 127, 47, 111, 28, 92)(12, 76, 34, 98, 60, 124, 64, 128, 56, 120, 38, 102, 49, 113, 27, 91)(14, 78, 37, 101, 57, 121, 29, 93, 55, 119, 41, 105, 51, 115, 39, 103)(16, 80, 40, 104, 53, 117, 42, 106, 54, 118, 31, 95, 58, 122, 36, 100)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 157, 221)(138, 202, 155, 219)(139, 203, 159, 223)(141, 205, 164, 228)(143, 207, 166, 230)(144, 208, 163, 227)(146, 210, 169, 233)(147, 211, 161, 225)(148, 212, 162, 226)(149, 213, 167, 231)(150, 214, 175, 239)(152, 216, 179, 243)(153, 217, 177, 241)(154, 218, 181, 245)(156, 220, 182, 246)(158, 222, 184, 248)(160, 224, 185, 249)(165, 229, 176, 240)(168, 232, 178, 242)(170, 234, 187, 251)(171, 235, 189, 253)(172, 236, 188, 252)(173, 237, 183, 247)(174, 238, 190, 254)(180, 244, 192, 256)(186, 250, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 152)(8, 155)(9, 159)(10, 130)(11, 157)(12, 163)(13, 165)(14, 131)(15, 150)(16, 134)(17, 162)(18, 170)(19, 160)(20, 133)(21, 168)(22, 176)(23, 177)(24, 181)(25, 135)(26, 179)(27, 139)(28, 183)(29, 136)(30, 174)(31, 138)(32, 186)(33, 188)(34, 187)(35, 142)(36, 143)(37, 175)(38, 141)(39, 189)(40, 180)(41, 145)(42, 148)(43, 149)(44, 147)(45, 182)(46, 173)(47, 166)(48, 164)(49, 154)(50, 167)(51, 151)(52, 171)(53, 153)(54, 158)(55, 190)(56, 156)(57, 161)(58, 172)(59, 169)(60, 191)(61, 192)(62, 184)(63, 185)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1873
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^4, (Y3^-1, Y1^-1), Y1^4, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1, Y2 * Y3^-2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 28, 92, 24, 88, 36, 100)(15, 79, 38, 102, 17, 81, 40, 104)(18, 82, 45, 109, 22, 86, 46, 110)(29, 93, 48, 112, 31, 95, 50, 114)(32, 96, 55, 119, 34, 98, 56, 120)(37, 101, 53, 117, 43, 107, 47, 111)(39, 103, 54, 118, 44, 108, 49, 113)(41, 105, 51, 115, 42, 106, 52, 116)(57, 121, 62, 126, 58, 122, 61, 125)(59, 123, 64, 128, 60, 124, 63, 127)(129, 193, 131, 195, 142, 206, 154, 218, 136, 200, 153, 217, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 148, 212, 133, 197, 147, 211, 164, 228, 139, 203)(132, 196, 146, 210, 170, 234, 143, 207, 135, 199, 150, 214, 169, 233, 145, 209)(138, 202, 160, 224, 180, 244, 157, 221, 140, 204, 162, 226, 179, 243, 159, 223)(141, 205, 165, 229, 151, 215, 172, 236, 144, 208, 171, 235, 149, 213, 167, 231)(155, 219, 175, 239, 163, 227, 182, 246, 158, 222, 181, 245, 161, 225, 177, 241)(166, 230, 187, 251, 174, 238, 185, 249, 168, 232, 188, 252, 173, 237, 186, 250)(176, 240, 191, 255, 184, 248, 189, 253, 178, 242, 192, 256, 183, 247, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 169)(15, 153)(16, 168)(17, 131)(18, 134)(19, 159)(20, 160)(21, 174)(22, 154)(23, 173)(24, 170)(25, 145)(26, 146)(27, 176)(28, 179)(29, 147)(30, 178)(31, 137)(32, 139)(33, 184)(34, 148)(35, 183)(36, 180)(37, 185)(38, 144)(39, 188)(40, 141)(41, 152)(42, 142)(43, 186)(44, 187)(45, 149)(46, 151)(47, 189)(48, 158)(49, 192)(50, 155)(51, 164)(52, 156)(53, 190)(54, 191)(55, 161)(56, 163)(57, 171)(58, 165)(59, 167)(60, 172)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1867
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y2^-1 * Y3)^2, Y1^4, (R * Y3)^2, Y2^4 * Y1^2, (Y2^-2 * Y1^-1)^2, (Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 22, 86, 14, 78)(4, 68, 15, 79, 23, 87, 9, 73)(6, 70, 19, 83, 24, 88, 20, 84)(8, 72, 25, 89, 17, 81, 28, 92)(10, 74, 30, 94, 18, 82, 31, 95)(12, 76, 26, 90, 21, 85, 32, 96)(13, 77, 37, 101, 45, 109, 34, 98)(16, 80, 42, 106, 46, 110, 44, 108)(27, 91, 51, 115, 41, 105, 48, 112)(29, 93, 54, 118, 40, 104, 56, 120)(33, 97, 52, 116, 38, 102, 47, 111)(35, 99, 53, 117, 39, 103, 49, 113)(36, 100, 55, 119, 43, 107, 50, 114)(57, 121, 61, 125, 60, 124, 64, 128)(58, 122, 62, 126, 59, 123, 63, 127)(129, 193, 131, 195, 140, 204, 152, 216, 135, 199, 150, 214, 149, 213, 134, 198)(130, 194, 136, 200, 154, 218, 146, 210, 133, 197, 145, 209, 160, 224, 138, 202)(132, 196, 144, 208, 171, 235, 173, 237, 151, 215, 174, 238, 164, 228, 141, 205)(137, 201, 157, 221, 183, 247, 169, 233, 143, 207, 168, 232, 178, 242, 155, 219)(139, 203, 161, 225, 148, 212, 167, 231, 142, 206, 166, 230, 147, 211, 163, 227)(153, 217, 175, 239, 159, 223, 181, 245, 156, 220, 180, 244, 158, 222, 177, 241)(162, 226, 186, 250, 172, 236, 188, 252, 165, 229, 187, 251, 170, 234, 185, 249)(176, 240, 190, 254, 184, 248, 192, 256, 179, 243, 191, 255, 182, 246, 189, 253)
	L = (1, 132)(2, 137)(3, 141)(4, 129)(5, 143)(6, 144)(7, 151)(8, 155)(9, 130)(10, 157)(11, 162)(12, 164)(13, 131)(14, 165)(15, 133)(16, 134)(17, 169)(18, 168)(19, 172)(20, 170)(21, 171)(22, 173)(23, 135)(24, 174)(25, 176)(26, 178)(27, 136)(28, 179)(29, 138)(30, 184)(31, 182)(32, 183)(33, 185)(34, 139)(35, 186)(36, 140)(37, 142)(38, 188)(39, 187)(40, 146)(41, 145)(42, 148)(43, 149)(44, 147)(45, 150)(46, 152)(47, 189)(48, 153)(49, 190)(50, 154)(51, 156)(52, 192)(53, 191)(54, 159)(55, 160)(56, 158)(57, 161)(58, 163)(59, 167)(60, 166)(61, 175)(62, 177)(63, 181)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1866
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 44, 108)(27, 91, 32, 96)(28, 92, 39, 103)(29, 93, 38, 102)(30, 94, 33, 97)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 58, 122)(43, 107, 55, 119)(45, 109, 53, 117)(46, 110, 60, 124)(47, 111, 59, 123)(48, 112, 52, 116)(49, 113, 57, 121)(50, 114, 56, 120)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 177, 241)(157, 221, 178, 242)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 189, 253)(175, 239, 190, 254)(184, 248, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1888
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (R * Y2 * Y1 * Y2)^2, (Y3 * Y2)^4, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 33, 97)(18, 82, 37, 101)(19, 83, 39, 103)(20, 84, 41, 105)(22, 86, 45, 109)(23, 87, 46, 110)(24, 88, 48, 112)(26, 90, 52, 116)(27, 91, 54, 118)(28, 92, 56, 120)(30, 94, 60, 124)(32, 96, 50, 114)(34, 98, 58, 122)(35, 99, 47, 111)(36, 100, 55, 119)(38, 102, 53, 117)(40, 104, 51, 115)(42, 106, 59, 123)(43, 107, 49, 113)(44, 108, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 162, 226)(145, 209, 163, 227)(148, 212, 170, 234)(149, 213, 171, 235)(150, 214, 166, 230)(152, 216, 177, 241)(153, 217, 178, 242)(156, 220, 185, 249)(157, 221, 186, 250)(158, 222, 181, 245)(159, 223, 188, 252)(160, 224, 182, 246)(161, 225, 180, 244)(164, 228, 190, 254)(165, 229, 176, 240)(167, 231, 175, 239)(168, 232, 184, 248)(169, 233, 183, 247)(172, 236, 189, 253)(173, 237, 174, 238)(179, 243, 192, 256)(187, 251, 191, 255)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 160)(16, 135)(17, 164)(18, 166)(19, 168)(20, 137)(21, 172)(22, 138)(23, 175)(24, 139)(25, 179)(26, 181)(27, 183)(28, 141)(29, 187)(30, 142)(31, 177)(32, 143)(33, 185)(34, 174)(35, 189)(36, 145)(37, 184)(38, 146)(39, 188)(40, 147)(41, 180)(42, 176)(43, 190)(44, 149)(45, 182)(46, 162)(47, 151)(48, 170)(49, 159)(50, 191)(51, 153)(52, 169)(53, 154)(54, 173)(55, 155)(56, 165)(57, 161)(58, 192)(59, 157)(60, 167)(61, 163)(62, 171)(63, 178)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1889
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1748>$ (small group id <128, 1748>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y3^-4 * Y2, (Y2^-1 * Y1 * Y2^-1)^2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^2 * Y2 * Y3^2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 35, 99)(20, 84, 28, 92)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 57, 121)(42, 106, 59, 123)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 53, 117)(46, 110, 60, 124)(47, 111, 54, 118)(48, 112, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 174, 238, 151, 215, 170, 234)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 186, 250, 164, 228, 182, 246)(175, 239, 190, 254, 176, 240, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 156)(19, 174)(20, 133)(21, 152)(22, 159)(23, 134)(24, 145)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 143)(32, 186)(33, 137)(34, 139)(35, 146)(36, 138)(37, 183)(38, 181)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 177)(45, 178)(46, 142)(47, 149)(48, 150)(49, 171)(50, 169)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 165)(57, 166)(58, 155)(59, 162)(60, 163)(61, 172)(62, 173)(63, 184)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1886
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y1 * Y2^-1 * Y3)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2^-1 * Y3^-4 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2^-1, Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2^2 * Y3 * Y2^-1 * Y1, (Y3^-1 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 34, 98)(20, 84, 30, 94)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 57, 121)(42, 106, 60, 124)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 53, 117)(46, 110, 59, 123)(47, 111, 58, 122)(48, 112, 54, 118)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 174, 238, 151, 215, 170, 234)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 186, 250, 164, 228, 182, 246)(175, 239, 190, 254, 176, 240, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 158)(19, 174)(20, 133)(21, 159)(22, 152)(23, 134)(24, 143)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 145)(32, 186)(33, 137)(34, 146)(35, 139)(36, 138)(37, 181)(38, 183)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 178)(45, 177)(46, 142)(47, 149)(48, 150)(49, 169)(50, 171)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 166)(57, 165)(58, 155)(59, 162)(60, 163)(61, 172)(62, 173)(63, 184)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1887
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1748>$ (small group id <128, 1748>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y3^-1 * Y1^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3 * Y1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^2 * Y1^-1 * Y2 * Y1 * Y2, Y3 * Y1 * Y3 * Y1^-3, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 51, 115, 49, 113, 20, 84, 5, 69)(3, 67, 11, 75, 26, 90, 53, 117, 64, 128, 62, 126, 44, 108, 13, 77)(4, 68, 15, 79, 37, 101, 10, 74, 36, 100, 21, 85, 27, 91, 17, 81)(6, 70, 22, 86, 35, 99, 9, 73, 33, 97, 19, 83, 28, 92, 23, 87)(8, 72, 29, 93, 52, 116, 47, 111, 63, 127, 50, 114, 18, 82, 31, 95)(12, 76, 40, 104, 60, 124, 30, 94, 59, 123, 45, 109, 54, 118, 41, 105)(14, 78, 46, 110, 58, 122, 39, 103, 61, 125, 43, 107, 55, 119, 32, 96)(16, 80, 38, 102, 56, 120, 48, 112, 24, 88, 34, 98, 57, 121, 42, 106)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 166, 230)(141, 205, 170, 234)(143, 207, 168, 232)(144, 208, 175, 239)(145, 209, 169, 233)(147, 211, 174, 238)(148, 212, 172, 236)(149, 213, 173, 237)(150, 214, 171, 235)(151, 215, 167, 231)(152, 216, 159, 223)(153, 217, 180, 244)(155, 219, 183, 247)(156, 220, 182, 246)(157, 221, 185, 249)(161, 225, 187, 251)(162, 226, 190, 254)(163, 227, 188, 252)(164, 228, 189, 253)(165, 229, 186, 250)(176, 240, 181, 245)(177, 241, 191, 255)(178, 242, 184, 248)(179, 243, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 167)(12, 159)(13, 171)(14, 131)(15, 153)(16, 161)(17, 177)(18, 173)(19, 176)(20, 165)(21, 133)(22, 170)(23, 166)(24, 134)(25, 150)(26, 182)(27, 184)(28, 135)(29, 186)(30, 139)(31, 189)(32, 136)(33, 179)(34, 145)(35, 148)(36, 152)(37, 185)(38, 138)(39, 191)(40, 181)(41, 190)(42, 149)(43, 180)(44, 188)(45, 141)(46, 146)(47, 142)(48, 143)(49, 151)(50, 183)(51, 164)(52, 168)(53, 174)(54, 157)(55, 154)(56, 163)(57, 156)(58, 172)(59, 175)(60, 178)(61, 192)(62, 160)(63, 169)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1884
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^3 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 51, 115, 49, 113, 20, 84, 5, 69)(3, 67, 11, 75, 26, 90, 53, 117, 64, 128, 59, 123, 44, 108, 13, 77)(4, 68, 15, 79, 37, 101, 10, 74, 36, 100, 21, 85, 27, 91, 17, 81)(6, 70, 22, 86, 35, 99, 9, 73, 33, 97, 19, 83, 28, 92, 23, 87)(8, 72, 29, 93, 52, 116, 41, 105, 63, 127, 50, 114, 18, 82, 31, 95)(12, 76, 40, 104, 58, 122, 39, 103, 60, 124, 45, 109, 54, 118, 30, 94)(14, 78, 46, 110, 62, 126, 32, 96, 61, 125, 43, 107, 55, 119, 47, 111)(16, 80, 38, 102, 56, 120, 42, 106, 24, 88, 34, 98, 57, 121, 48, 112)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 162, 226)(141, 205, 170, 234)(143, 207, 173, 237)(144, 208, 159, 223)(145, 209, 167, 231)(147, 211, 171, 235)(148, 212, 172, 236)(149, 213, 168, 232)(150, 214, 174, 238)(151, 215, 175, 239)(152, 216, 169, 233)(153, 217, 180, 244)(155, 219, 183, 247)(156, 220, 182, 246)(157, 221, 184, 248)(161, 225, 188, 252)(163, 227, 186, 250)(164, 228, 189, 253)(165, 229, 190, 254)(166, 230, 187, 251)(176, 240, 181, 245)(177, 241, 191, 255)(178, 242, 185, 249)(179, 243, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 160)(12, 169)(13, 171)(14, 131)(15, 153)(16, 161)(17, 177)(18, 168)(19, 170)(20, 165)(21, 133)(22, 176)(23, 166)(24, 134)(25, 150)(26, 182)(27, 184)(28, 135)(29, 183)(30, 187)(31, 142)(32, 136)(33, 179)(34, 145)(35, 148)(36, 152)(37, 185)(38, 138)(39, 139)(40, 181)(41, 189)(42, 143)(43, 146)(44, 186)(45, 141)(46, 180)(47, 191)(48, 149)(49, 151)(50, 190)(51, 164)(52, 173)(53, 174)(54, 178)(55, 154)(56, 163)(57, 156)(58, 157)(59, 175)(60, 159)(61, 192)(62, 172)(63, 167)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1885
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^4, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y1^4, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y1^-1 * Y2^4 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 36, 100, 24, 88, 28, 92)(15, 79, 38, 102, 17, 81, 40, 104)(18, 82, 45, 109, 22, 86, 46, 110)(29, 93, 48, 112, 31, 95, 50, 114)(32, 96, 55, 119, 34, 98, 56, 120)(37, 101, 53, 117, 43, 107, 47, 111)(39, 103, 49, 113, 44, 108, 54, 118)(41, 105, 52, 116, 42, 106, 51, 115)(57, 121, 62, 126, 58, 122, 61, 125)(59, 123, 63, 127, 60, 124, 64, 128)(129, 193, 131, 195, 142, 206, 154, 218, 136, 200, 153, 217, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 148, 212, 133, 197, 147, 211, 164, 228, 139, 203)(132, 196, 146, 210, 170, 234, 143, 207, 135, 199, 150, 214, 169, 233, 145, 209)(138, 202, 160, 224, 180, 244, 157, 221, 140, 204, 162, 226, 179, 243, 159, 223)(141, 205, 165, 229, 149, 213, 172, 236, 144, 208, 171, 235, 151, 215, 167, 231)(155, 219, 175, 239, 161, 225, 182, 246, 158, 222, 181, 245, 163, 227, 177, 241)(166, 230, 187, 251, 173, 237, 185, 249, 168, 232, 188, 252, 174, 238, 186, 250)(176, 240, 191, 255, 183, 247, 189, 253, 178, 242, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 169)(15, 153)(16, 168)(17, 131)(18, 134)(19, 159)(20, 160)(21, 174)(22, 154)(23, 173)(24, 170)(25, 145)(26, 146)(27, 176)(28, 179)(29, 147)(30, 178)(31, 137)(32, 139)(33, 184)(34, 148)(35, 183)(36, 180)(37, 185)(38, 144)(39, 188)(40, 141)(41, 152)(42, 142)(43, 186)(44, 187)(45, 149)(46, 151)(47, 189)(48, 158)(49, 192)(50, 155)(51, 164)(52, 156)(53, 190)(54, 191)(55, 161)(56, 163)(57, 171)(58, 165)(59, 167)(60, 172)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1882
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y1^-1 * Y3)^2, Y1^4, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^2 * Y1, Y1^-1 * Y2^4 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 22, 86, 14, 78)(4, 68, 15, 79, 23, 87, 9, 73)(6, 70, 19, 83, 24, 88, 20, 84)(8, 72, 25, 89, 17, 81, 28, 92)(10, 74, 30, 94, 18, 82, 31, 95)(12, 76, 32, 96, 21, 85, 26, 90)(13, 77, 37, 101, 45, 109, 34, 98)(16, 80, 42, 106, 46, 110, 44, 108)(27, 91, 51, 115, 41, 105, 48, 112)(29, 93, 54, 118, 40, 104, 56, 120)(33, 97, 52, 116, 38, 102, 47, 111)(35, 99, 49, 113, 39, 103, 53, 117)(36, 100, 50, 114, 43, 107, 55, 119)(57, 121, 61, 125, 60, 124, 64, 128)(58, 122, 63, 127, 59, 123, 62, 126)(129, 193, 131, 195, 140, 204, 152, 216, 135, 199, 150, 214, 149, 213, 134, 198)(130, 194, 136, 200, 154, 218, 146, 210, 133, 197, 145, 209, 160, 224, 138, 202)(132, 196, 144, 208, 171, 235, 173, 237, 151, 215, 174, 238, 164, 228, 141, 205)(137, 201, 157, 221, 183, 247, 169, 233, 143, 207, 168, 232, 178, 242, 155, 219)(139, 203, 161, 225, 147, 211, 167, 231, 142, 206, 166, 230, 148, 212, 163, 227)(153, 217, 175, 239, 158, 222, 181, 245, 156, 220, 180, 244, 159, 223, 177, 241)(162, 226, 186, 250, 170, 234, 188, 252, 165, 229, 187, 251, 172, 236, 185, 249)(176, 240, 190, 254, 182, 246, 192, 256, 179, 243, 191, 255, 184, 248, 189, 253)
	L = (1, 132)(2, 137)(3, 141)(4, 129)(5, 143)(6, 144)(7, 151)(8, 155)(9, 130)(10, 157)(11, 162)(12, 164)(13, 131)(14, 165)(15, 133)(16, 134)(17, 169)(18, 168)(19, 172)(20, 170)(21, 171)(22, 173)(23, 135)(24, 174)(25, 176)(26, 178)(27, 136)(28, 179)(29, 138)(30, 184)(31, 182)(32, 183)(33, 185)(34, 139)(35, 186)(36, 140)(37, 142)(38, 188)(39, 187)(40, 146)(41, 145)(42, 148)(43, 149)(44, 147)(45, 150)(46, 152)(47, 189)(48, 153)(49, 190)(50, 154)(51, 156)(52, 192)(53, 191)(54, 159)(55, 160)(56, 158)(57, 161)(58, 163)(59, 167)(60, 166)(61, 175)(62, 177)(63, 181)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1883
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1750>$ (small group id <128, 1750>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, Y3^-1 * Y2^2 * Y3^-1, Y3 * Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 35, 99)(27, 91, 37, 101)(29, 93, 39, 103)(30, 94, 40, 104)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 55, 119)(48, 112, 56, 120)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 173, 237, 162, 226, 174, 238)(160, 224, 178, 242, 161, 225, 177, 241)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 181, 245, 172, 236, 182, 246)(170, 234, 186, 250, 171, 235, 185, 249)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1902
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 36, 100)(25, 89, 34, 98)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 56, 120)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 53, 117)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 159, 223, 176, 240)(158, 222, 178, 242, 160, 224, 177, 241)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 181, 245, 170, 234, 184, 248)(169, 233, 186, 250, 171, 235, 185, 249)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1905
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (Y2^-2 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 34, 98)(25, 89, 36, 100)(26, 90, 37, 101)(27, 91, 39, 103)(28, 92, 38, 102)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 53, 117)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 56, 120)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 176, 240, 159, 223, 173, 237)(158, 222, 178, 242, 160, 224, 177, 241)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 184, 248, 170, 234, 181, 245)(169, 233, 186, 250, 171, 235, 185, 249)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1903
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^-2, (R * Y1)^2, Y2 * Y3^2 * Y2, (Y3^-1 * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 37, 101)(27, 91, 35, 99)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 174, 238, 162, 226, 173, 237)(160, 224, 178, 242, 161, 225, 177, 241)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 182, 246, 172, 236, 181, 245)(170, 234, 186, 250, 171, 235, 185, 249)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1904
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y2^2 * Y3 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-2 * Y1 * Y3 * Y2^-2 * Y3 * Y1, (Y3 * Y2^-1 * Y1 * Y2^-1)^2, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 33, 97)(15, 79, 36, 100)(17, 81, 43, 107)(18, 82, 41, 105)(19, 83, 47, 111)(20, 84, 50, 114)(22, 86, 53, 117)(23, 87, 40, 104)(25, 89, 52, 116)(27, 91, 48, 112)(28, 92, 56, 120)(29, 93, 46, 110)(31, 95, 44, 108)(32, 96, 58, 122)(34, 98, 59, 123)(35, 99, 42, 106)(37, 101, 54, 118)(38, 102, 55, 119)(39, 103, 45, 109)(49, 113, 61, 125)(51, 115, 62, 126)(57, 121, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(135, 199, 147, 211, 176, 240, 148, 212)(137, 201, 151, 215, 177, 241, 153, 217)(139, 203, 156, 220, 175, 239, 157, 221)(142, 206, 163, 227, 179, 243, 165, 229)(143, 207, 166, 230, 178, 242, 167, 231)(144, 208, 168, 232, 160, 224, 170, 234)(146, 210, 173, 237, 158, 222, 174, 238)(149, 213, 180, 244, 162, 226, 182, 246)(150, 214, 183, 247, 161, 225, 184, 248)(152, 216, 185, 249, 164, 228, 172, 236)(154, 218, 186, 250, 191, 255, 187, 251)(155, 219, 169, 233, 188, 252, 181, 245)(171, 235, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 160)(13, 162)(14, 164)(15, 133)(16, 169)(17, 172)(18, 134)(19, 177)(20, 179)(21, 181)(22, 136)(23, 183)(24, 137)(25, 173)(26, 176)(27, 138)(28, 170)(29, 182)(30, 186)(31, 171)(32, 140)(33, 187)(34, 141)(35, 184)(36, 142)(37, 174)(38, 168)(39, 180)(40, 166)(41, 144)(42, 156)(43, 159)(44, 145)(45, 153)(46, 165)(47, 189)(48, 154)(49, 147)(50, 190)(51, 148)(52, 167)(53, 149)(54, 157)(55, 151)(56, 163)(57, 191)(58, 158)(59, 161)(60, 192)(61, 175)(62, 178)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1901
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^2 * Y1 * Y3^-2 * Y1, (Y3^-1 * Y2^-2)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 29, 93)(14, 78, 34, 98)(15, 79, 31, 95)(16, 80, 28, 92)(17, 81, 25, 89)(19, 83, 27, 91)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(24, 88, 52, 116)(35, 99, 50, 114)(36, 100, 63, 127)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 62, 126)(42, 106, 59, 123)(43, 107, 58, 122)(44, 108, 57, 121)(45, 109, 61, 125)(46, 110, 60, 124)(47, 111, 56, 120)(48, 112, 51, 115)(49, 113, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 188, 252, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 190, 254, 177, 241)(151, 215, 178, 242, 173, 237, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 175, 239, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 162)(12, 166)(13, 169)(14, 131)(15, 158)(16, 134)(17, 151)(18, 161)(19, 174)(20, 133)(21, 173)(22, 175)(23, 150)(24, 181)(25, 184)(26, 135)(27, 146)(28, 138)(29, 139)(30, 149)(31, 189)(32, 137)(33, 188)(34, 190)(35, 187)(36, 183)(37, 182)(38, 180)(39, 140)(40, 191)(41, 142)(42, 178)(43, 179)(44, 192)(45, 143)(46, 148)(47, 145)(48, 186)(49, 185)(50, 172)(51, 168)(52, 167)(53, 165)(54, 152)(55, 176)(56, 154)(57, 163)(58, 164)(59, 177)(60, 155)(61, 160)(62, 157)(63, 171)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1900
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (Y1 * Y3)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3)^2, Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * R * Y2^-2 * Y1 * R * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 43, 107)(20, 84, 46, 110)(22, 86, 48, 112)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 50, 114)(28, 92, 49, 113)(30, 94, 44, 108)(31, 95, 54, 118)(33, 97, 56, 120)(35, 99, 42, 106)(36, 100, 41, 105)(45, 109, 61, 125)(47, 111, 63, 127)(51, 115, 58, 122)(52, 116, 64, 128)(53, 117, 62, 126)(55, 119, 60, 124)(57, 121, 59, 123)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 172, 236, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 166, 230, 156, 220)(143, 207, 163, 227, 176, 240, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(146, 210, 169, 233, 152, 216, 170, 234)(150, 214, 177, 241, 162, 226, 178, 242)(154, 218, 171, 235, 186, 250, 174, 238)(157, 221, 179, 243, 160, 224, 168, 232)(159, 223, 180, 244, 189, 253, 183, 247)(161, 225, 181, 245, 191, 255, 185, 249)(173, 237, 187, 251, 182, 246, 190, 254)(175, 239, 188, 252, 184, 248, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 168)(18, 134)(19, 173)(20, 175)(21, 176)(22, 136)(23, 179)(24, 137)(25, 172)(26, 138)(27, 180)(28, 181)(29, 182)(30, 167)(31, 140)(32, 184)(33, 141)(34, 142)(35, 183)(36, 185)(37, 186)(38, 144)(39, 158)(40, 145)(41, 187)(42, 188)(43, 189)(44, 153)(45, 147)(46, 191)(47, 148)(48, 149)(49, 190)(50, 192)(51, 151)(52, 155)(53, 156)(54, 157)(55, 163)(56, 160)(57, 164)(58, 165)(59, 169)(60, 170)(61, 171)(62, 177)(63, 174)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1898
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3^2 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2 * R * Y3^2 * Y1 * R * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 31, 95)(14, 78, 32, 96)(15, 79, 29, 93)(16, 80, 28, 92)(17, 81, 27, 91)(19, 83, 25, 89)(20, 84, 26, 90)(21, 85, 34, 98)(22, 86, 33, 97)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 49, 113)(39, 103, 50, 114)(40, 104, 51, 115)(41, 105, 52, 116)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 164, 228, 150, 214)(136, 200, 155, 219, 176, 240, 157, 221)(138, 202, 161, 225, 175, 239, 162, 226)(139, 203, 156, 220, 146, 210, 163, 227)(141, 205, 166, 230, 148, 212, 167, 231)(142, 206, 168, 232, 147, 211, 169, 233)(144, 208, 158, 222, 174, 238, 151, 215)(153, 217, 177, 241, 160, 224, 178, 242)(154, 218, 179, 243, 159, 223, 180, 244)(170, 234, 185, 249, 173, 237, 188, 252)(171, 235, 186, 250, 172, 236, 187, 251)(181, 245, 189, 253, 184, 248, 192, 256)(182, 246, 190, 254, 183, 247, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 160)(12, 164)(13, 158)(14, 131)(15, 170)(16, 134)(17, 172)(18, 154)(19, 151)(20, 133)(21, 171)(22, 173)(23, 148)(24, 175)(25, 146)(26, 135)(27, 181)(28, 138)(29, 183)(30, 142)(31, 139)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1899
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1^2)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1 * Y3 * Y1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 28, 92, 16, 80, 5, 69)(3, 67, 9, 73, 22, 86, 7, 71, 20, 84, 14, 78, 18, 82, 11, 75)(4, 68, 12, 76, 19, 83, 40, 104, 57, 121, 50, 114, 34, 98, 13, 77)(8, 72, 23, 87, 38, 102, 58, 122, 52, 116, 36, 100, 15, 79, 24, 88)(10, 74, 26, 90, 44, 108, 30, 94, 41, 105, 32, 96, 39, 103, 27, 91)(21, 85, 42, 106, 35, 99, 45, 109, 29, 93, 47, 111, 25, 89, 43, 107)(31, 95, 54, 118, 59, 123, 48, 112, 63, 127, 46, 110, 33, 97, 55, 119)(49, 113, 62, 126, 53, 117, 64, 128, 56, 120, 61, 125, 51, 115, 60, 124)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 145, 209)(139, 203, 156, 220)(140, 204, 158, 222)(141, 205, 160, 224)(143, 207, 163, 227)(144, 208, 150, 214)(147, 211, 167, 231)(148, 212, 165, 229)(151, 215, 173, 237)(152, 216, 175, 239)(153, 217, 166, 230)(154, 218, 168, 232)(155, 219, 178, 242)(157, 221, 180, 244)(159, 223, 181, 245)(161, 225, 184, 248)(162, 226, 172, 236)(164, 228, 171, 235)(169, 233, 185, 249)(170, 234, 186, 250)(174, 238, 190, 254)(176, 240, 192, 256)(177, 241, 187, 251)(179, 243, 191, 255)(182, 246, 189, 253)(183, 247, 188, 252)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 153)(10, 131)(11, 157)(12, 159)(13, 161)(14, 163)(15, 133)(16, 162)(17, 166)(18, 167)(19, 134)(20, 169)(21, 135)(22, 172)(23, 174)(24, 176)(25, 137)(26, 177)(27, 179)(28, 180)(29, 139)(30, 181)(31, 140)(32, 184)(33, 141)(34, 144)(35, 142)(36, 182)(37, 185)(38, 145)(39, 146)(40, 187)(41, 148)(42, 188)(43, 189)(44, 150)(45, 190)(46, 151)(47, 192)(48, 152)(49, 154)(50, 191)(51, 155)(52, 156)(53, 158)(54, 164)(55, 186)(56, 160)(57, 165)(58, 183)(59, 168)(60, 170)(61, 171)(62, 173)(63, 178)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1896
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, (Y3^-1 * Y1^-2)^2, Y2 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y3 * R * Y2 * R * Y2 * Y3, Y2 * Y1^3 * Y2 * Y1^-1, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 30, 94, 8, 72, 28, 92, 18, 82, 25, 89, 13, 77)(4, 68, 15, 79, 26, 90, 23, 87, 6, 70, 22, 86, 27, 91, 17, 81)(9, 73, 32, 96, 21, 85, 36, 100, 10, 74, 35, 99, 19, 83, 34, 98)(12, 76, 39, 103, 48, 112, 42, 106, 14, 78, 41, 105, 47, 111, 40, 104)(29, 93, 49, 113, 38, 102, 52, 116, 31, 95, 51, 115, 37, 101, 50, 114)(43, 107, 54, 118, 46, 110, 55, 119, 44, 108, 53, 117, 45, 109, 56, 120)(57, 121, 64, 128, 60, 124, 62, 126, 58, 122, 63, 127, 59, 123, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 152, 216)(141, 205, 161, 225)(143, 207, 168, 232)(144, 208, 156, 220)(145, 209, 167, 231)(147, 211, 165, 229)(148, 212, 158, 222)(149, 213, 166, 230)(150, 214, 170, 234)(151, 215, 169, 233)(154, 218, 176, 240)(155, 219, 175, 239)(160, 224, 178, 242)(162, 226, 177, 241)(163, 227, 180, 244)(164, 228, 179, 243)(171, 235, 188, 252)(172, 236, 187, 251)(173, 237, 186, 250)(174, 238, 185, 249)(181, 245, 192, 256)(182, 246, 191, 255)(183, 247, 190, 254)(184, 248, 189, 253)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 165)(12, 156)(13, 159)(14, 131)(15, 171)(16, 134)(17, 173)(18, 166)(19, 152)(20, 155)(21, 133)(22, 172)(23, 174)(24, 149)(25, 175)(26, 148)(27, 135)(28, 142)(29, 141)(30, 176)(31, 136)(32, 181)(33, 138)(34, 183)(35, 182)(36, 184)(37, 146)(38, 139)(39, 185)(40, 187)(41, 186)(42, 188)(43, 150)(44, 143)(45, 151)(46, 145)(47, 158)(48, 153)(49, 189)(50, 191)(51, 190)(52, 192)(53, 163)(54, 160)(55, 164)(56, 162)(57, 169)(58, 167)(59, 170)(60, 168)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1897
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-2)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, Y1^-1 * Y3^-2 * Y1^-3, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 16, 80, 33, 97, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 63, 127, 42, 106, 52, 116, 25, 89, 13, 77)(4, 68, 15, 79, 26, 90, 23, 87, 6, 70, 22, 86, 27, 91, 17, 81)(8, 72, 28, 92, 18, 82, 49, 113, 57, 121, 64, 128, 50, 114, 30, 94)(9, 73, 32, 96, 21, 85, 36, 100, 10, 74, 35, 99, 19, 83, 34, 98)(12, 76, 41, 105, 53, 117, 29, 93, 14, 78, 46, 110, 51, 115, 31, 95)(38, 102, 62, 126, 43, 107, 61, 125, 48, 112, 54, 118, 47, 111, 58, 122)(39, 103, 60, 124, 45, 109, 56, 120, 40, 104, 59, 123, 44, 108, 55, 119)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 172, 236)(144, 208, 170, 234)(145, 209, 167, 231)(147, 211, 169, 233)(148, 212, 165, 229)(149, 213, 174, 238)(150, 214, 173, 237)(151, 215, 168, 232)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 179, 243)(156, 220, 182, 246)(158, 222, 186, 250)(160, 224, 187, 251)(161, 225, 185, 249)(162, 226, 183, 247)(163, 227, 188, 252)(164, 228, 184, 248)(175, 239, 191, 255)(176, 240, 180, 244)(177, 241, 189, 253)(190, 254, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 170)(13, 172)(14, 131)(15, 171)(16, 134)(17, 166)(18, 174)(19, 152)(20, 155)(21, 133)(22, 175)(23, 176)(24, 149)(25, 179)(26, 148)(27, 135)(28, 183)(29, 185)(30, 187)(31, 136)(32, 186)(33, 138)(34, 182)(35, 189)(36, 190)(37, 181)(38, 151)(39, 180)(40, 139)(41, 146)(42, 142)(43, 150)(44, 191)(45, 141)(46, 178)(47, 143)(48, 145)(49, 188)(50, 169)(51, 165)(52, 168)(53, 153)(54, 164)(55, 192)(56, 156)(57, 159)(58, 163)(59, 177)(60, 158)(61, 160)(62, 162)(63, 173)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1895
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^8, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 40, 104, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 57, 121, 61, 125, 45, 109, 18, 82, 11, 75)(4, 68, 12, 76, 19, 83, 46, 110, 62, 126, 60, 124, 36, 100, 13, 77)(7, 71, 20, 84, 14, 78, 37, 101, 59, 123, 63, 127, 42, 106, 22, 86)(8, 72, 23, 87, 43, 107, 64, 128, 58, 122, 39, 103, 15, 79, 24, 88)(10, 74, 28, 92, 50, 114, 21, 85, 49, 113, 38, 102, 44, 108, 29, 93)(26, 90, 56, 120, 30, 94, 54, 118, 35, 99, 47, 111, 33, 97, 51, 115)(27, 91, 53, 117, 32, 96, 55, 119, 34, 98, 52, 116, 31, 95, 48, 112)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 158, 222)(140, 204, 160, 224)(141, 205, 162, 226)(143, 207, 166, 230)(144, 208, 153, 217)(145, 209, 170, 234)(147, 211, 172, 236)(148, 212, 175, 239)(150, 214, 179, 243)(151, 215, 181, 245)(152, 216, 183, 247)(155, 219, 174, 238)(156, 220, 171, 235)(157, 221, 186, 250)(159, 223, 188, 252)(161, 225, 185, 249)(163, 227, 173, 237)(164, 228, 178, 242)(165, 229, 182, 246)(167, 231, 180, 244)(168, 232, 187, 251)(169, 233, 189, 253)(176, 240, 192, 256)(177, 241, 190, 254)(184, 248, 191, 255)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 159)(12, 161)(13, 163)(14, 166)(15, 133)(16, 164)(17, 171)(18, 172)(19, 134)(20, 176)(21, 135)(22, 180)(23, 182)(24, 184)(25, 178)(26, 174)(27, 137)(28, 170)(29, 187)(30, 188)(31, 139)(32, 185)(33, 140)(34, 173)(35, 141)(36, 144)(37, 181)(38, 142)(39, 179)(40, 186)(41, 190)(42, 156)(43, 145)(44, 146)(45, 162)(46, 154)(47, 192)(48, 148)(49, 189)(50, 153)(51, 167)(52, 150)(53, 165)(54, 151)(55, 191)(56, 152)(57, 160)(58, 168)(59, 157)(60, 158)(61, 177)(62, 169)(63, 183)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1894
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1750>$ (small group id <128, 1750>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1 * Y3^-1 * Y1, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1 * Y3^-1 * Y1^-3 * Y3^-1, Y1^-2 * Y3^2 * Y1^-2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1)^4, Y1 * R * Y2 * Y1^-1 * R * Y1 * Y2 * Y1, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 18, 82, 5, 69)(3, 67, 11, 75, 21, 85, 41, 105, 33, 97, 55, 119, 35, 99, 13, 77)(4, 68, 15, 79, 23, 87, 10, 74, 6, 70, 19, 83, 22, 86, 9, 73)(8, 72, 24, 88, 40, 104, 58, 122, 48, 112, 39, 103, 17, 81, 26, 90)(12, 76, 32, 96, 43, 107, 31, 95, 14, 78, 36, 100, 42, 106, 30, 94)(25, 89, 47, 111, 38, 102, 46, 110, 27, 91, 50, 114, 37, 101, 45, 109)(29, 93, 51, 115, 59, 123, 49, 113, 61, 125, 44, 108, 34, 98, 53, 117)(52, 116, 63, 127, 57, 121, 60, 124, 54, 118, 64, 128, 56, 120, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 157, 221)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 161, 225)(146, 210, 163, 227)(147, 211, 166, 230)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(158, 222, 182, 246)(159, 223, 180, 244)(160, 224, 184, 248)(164, 228, 185, 249)(167, 231, 179, 243)(169, 233, 187, 251)(173, 237, 190, 254)(174, 238, 188, 252)(175, 239, 191, 255)(178, 242, 192, 256)(181, 245, 186, 250)(183, 247, 189, 253)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 158)(12, 161)(13, 160)(14, 131)(15, 148)(16, 134)(17, 166)(18, 151)(19, 133)(20, 147)(21, 170)(22, 146)(23, 135)(24, 173)(25, 176)(26, 175)(27, 136)(28, 138)(29, 180)(30, 183)(31, 139)(32, 169)(33, 142)(34, 185)(35, 171)(36, 141)(37, 145)(38, 168)(39, 174)(40, 165)(41, 164)(42, 163)(43, 149)(44, 188)(45, 167)(46, 152)(47, 186)(48, 155)(49, 192)(50, 154)(51, 190)(52, 189)(53, 191)(54, 157)(55, 159)(56, 162)(57, 187)(58, 178)(59, 184)(60, 179)(61, 182)(62, 172)(63, 177)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1890
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1^2)^2, (Y3 * Y1)^4, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y1^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 18, 82, 39, 103, 57, 121, 54, 118, 31, 95, 11, 75)(4, 68, 12, 76, 24, 88, 8, 72, 23, 87, 15, 79, 19, 83, 13, 77)(7, 71, 20, 84, 38, 102, 58, 122, 56, 120, 36, 100, 14, 78, 22, 86)(10, 74, 27, 91, 48, 112, 26, 90, 47, 111, 30, 94, 40, 104, 28, 92)(21, 85, 43, 107, 35, 99, 42, 106, 33, 97, 46, 110, 32, 96, 44, 108)(25, 89, 49, 113, 59, 123, 45, 109, 61, 125, 41, 105, 29, 93, 51, 115)(50, 114, 64, 128, 55, 119, 63, 127, 53, 117, 62, 126, 52, 116, 60, 124)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 153, 217)(139, 203, 157, 221)(140, 204, 160, 224)(141, 205, 161, 225)(143, 207, 163, 227)(144, 208, 159, 223)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 169, 233)(150, 214, 173, 237)(151, 215, 175, 239)(152, 216, 176, 240)(154, 218, 178, 242)(155, 219, 180, 244)(156, 220, 181, 245)(158, 222, 183, 247)(162, 226, 184, 248)(164, 228, 177, 241)(165, 229, 185, 249)(167, 231, 187, 251)(170, 234, 188, 252)(171, 235, 190, 254)(172, 236, 191, 255)(174, 238, 192, 256)(179, 243, 186, 250)(182, 246, 189, 253)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 154)(10, 131)(11, 158)(12, 145)(13, 162)(14, 163)(15, 133)(16, 152)(17, 140)(18, 168)(19, 134)(20, 170)(21, 135)(22, 174)(23, 165)(24, 144)(25, 178)(26, 137)(27, 167)(28, 182)(29, 183)(30, 139)(31, 176)(32, 166)(33, 184)(34, 141)(35, 142)(36, 172)(37, 151)(38, 160)(39, 155)(40, 146)(41, 188)(42, 148)(43, 186)(44, 164)(45, 192)(46, 150)(47, 185)(48, 159)(49, 191)(50, 153)(51, 190)(52, 187)(53, 189)(54, 156)(55, 157)(56, 161)(57, 175)(58, 171)(59, 180)(60, 169)(61, 181)(62, 179)(63, 177)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1892
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^4, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1^-3 * Y3 * Y1, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 16, 80, 28, 92, 18, 82, 5, 69)(3, 67, 11, 75, 29, 93, 51, 115, 34, 98, 42, 106, 21, 85, 13, 77)(4, 68, 15, 79, 23, 87, 10, 74, 6, 70, 19, 83, 22, 86, 9, 73)(8, 72, 24, 88, 17, 81, 38, 102, 48, 112, 58, 122, 40, 104, 26, 90)(12, 76, 33, 97, 41, 105, 32, 96, 14, 78, 36, 100, 43, 107, 31, 95)(25, 89, 47, 111, 37, 101, 46, 110, 27, 91, 50, 114, 39, 103, 45, 109)(30, 94, 52, 116, 35, 99, 56, 120, 59, 123, 44, 108, 60, 124, 49, 113)(53, 117, 64, 128, 55, 119, 61, 125, 54, 118, 63, 127, 57, 121, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 163, 227)(143, 207, 165, 229)(144, 208, 162, 226)(146, 210, 157, 221)(147, 211, 167, 231)(148, 212, 168, 232)(150, 214, 171, 235)(151, 215, 169, 233)(152, 216, 172, 236)(154, 218, 177, 241)(156, 220, 176, 240)(159, 223, 182, 246)(160, 224, 181, 245)(161, 225, 183, 247)(164, 228, 185, 249)(166, 230, 184, 248)(170, 234, 187, 251)(173, 237, 190, 254)(174, 238, 189, 253)(175, 239, 191, 255)(178, 242, 192, 256)(179, 243, 188, 252)(180, 244, 186, 250)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 162)(13, 161)(14, 131)(15, 148)(16, 134)(17, 167)(18, 151)(19, 133)(20, 147)(21, 169)(22, 146)(23, 135)(24, 173)(25, 176)(26, 175)(27, 136)(28, 138)(29, 171)(30, 181)(31, 170)(32, 139)(33, 179)(34, 142)(35, 185)(36, 141)(37, 145)(38, 178)(39, 168)(40, 165)(41, 157)(42, 160)(43, 149)(44, 189)(45, 186)(46, 152)(47, 166)(48, 155)(49, 192)(50, 154)(51, 164)(52, 190)(53, 187)(54, 158)(55, 163)(56, 191)(57, 188)(58, 174)(59, 182)(60, 183)(61, 180)(62, 172)(63, 177)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1893
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 34, 98, 16, 80, 5, 69)(3, 67, 9, 73, 25, 89, 49, 113, 57, 121, 40, 104, 18, 82, 11, 75)(4, 68, 12, 76, 24, 88, 8, 72, 23, 87, 15, 79, 19, 83, 13, 77)(7, 71, 20, 84, 14, 78, 35, 99, 56, 120, 58, 122, 38, 102, 22, 86)(10, 74, 28, 92, 39, 103, 27, 91, 47, 111, 31, 95, 48, 112, 29, 93)(21, 85, 43, 107, 32, 96, 42, 106, 33, 97, 46, 110, 36, 100, 44, 108)(26, 90, 50, 114, 30, 94, 54, 118, 59, 123, 41, 105, 60, 124, 45, 109)(51, 115, 62, 126, 52, 116, 63, 127, 53, 117, 64, 128, 55, 119, 61, 125)(129, 193, 131, 195)(130, 194, 135, 199)(132, 196, 138, 202)(133, 197, 142, 206)(134, 198, 146, 210)(136, 200, 149, 213)(137, 201, 154, 218)(139, 203, 158, 222)(140, 204, 160, 224)(141, 205, 161, 225)(143, 207, 164, 228)(144, 208, 153, 217)(145, 209, 166, 230)(147, 211, 167, 231)(148, 212, 169, 233)(150, 214, 173, 237)(151, 215, 175, 239)(152, 216, 176, 240)(155, 219, 179, 243)(156, 220, 180, 244)(157, 221, 181, 245)(159, 223, 183, 247)(162, 226, 184, 248)(163, 227, 182, 246)(165, 229, 185, 249)(168, 232, 187, 251)(170, 234, 189, 253)(171, 235, 190, 254)(172, 236, 191, 255)(174, 238, 192, 256)(177, 241, 188, 252)(178, 242, 186, 250)
	L = (1, 132)(2, 136)(3, 138)(4, 129)(5, 143)(6, 147)(7, 149)(8, 130)(9, 155)(10, 131)(11, 159)(12, 145)(13, 162)(14, 164)(15, 133)(16, 152)(17, 140)(18, 167)(19, 134)(20, 170)(21, 135)(22, 174)(23, 165)(24, 144)(25, 176)(26, 179)(27, 137)(28, 177)(29, 168)(30, 183)(31, 139)(32, 166)(33, 184)(34, 141)(35, 171)(36, 142)(37, 151)(38, 160)(39, 146)(40, 157)(41, 189)(42, 148)(43, 163)(44, 186)(45, 192)(46, 150)(47, 185)(48, 153)(49, 156)(50, 191)(51, 154)(52, 188)(53, 187)(54, 190)(55, 158)(56, 161)(57, 175)(58, 172)(59, 181)(60, 180)(61, 169)(62, 182)(63, 178)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1891
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3, (Y3 * Y2)^4, (R * Y2 * Y1 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2, (Y3 * Y2 * Y1 * Y2 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 28, 92)(16, 80, 24, 88)(18, 82, 35, 99)(19, 83, 27, 91)(20, 84, 23, 87)(22, 86, 41, 105)(26, 90, 46, 110)(30, 94, 52, 116)(31, 95, 50, 114)(32, 96, 44, 108)(33, 97, 43, 107)(34, 98, 49, 113)(36, 100, 47, 111)(37, 101, 51, 115)(38, 102, 45, 109)(39, 103, 42, 106)(40, 104, 48, 112)(53, 117, 59, 123)(54, 118, 64, 128)(55, 119, 61, 125)(56, 120, 62, 126)(57, 121, 63, 127)(58, 122, 60, 124)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 160, 224)(145, 209, 161, 225)(148, 212, 166, 230)(149, 213, 167, 231)(150, 214, 164, 228)(152, 216, 171, 235)(153, 217, 172, 236)(156, 220, 177, 241)(157, 221, 178, 242)(158, 222, 175, 239)(159, 223, 181, 245)(162, 226, 184, 248)(163, 227, 185, 249)(165, 229, 186, 250)(168, 232, 183, 247)(169, 233, 182, 246)(170, 234, 187, 251)(173, 237, 190, 254)(174, 238, 191, 255)(176, 240, 192, 256)(179, 243, 189, 253)(180, 244, 188, 252)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 159)(16, 135)(17, 162)(18, 164)(19, 165)(20, 137)(21, 168)(22, 138)(23, 170)(24, 139)(25, 173)(26, 175)(27, 176)(28, 141)(29, 179)(30, 142)(31, 143)(32, 182)(33, 183)(34, 145)(35, 186)(36, 146)(37, 147)(38, 185)(39, 184)(40, 149)(41, 181)(42, 151)(43, 188)(44, 189)(45, 153)(46, 192)(47, 154)(48, 155)(49, 191)(50, 190)(51, 157)(52, 187)(53, 169)(54, 160)(55, 161)(56, 167)(57, 166)(58, 163)(59, 180)(60, 171)(61, 172)(62, 178)(63, 177)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1916
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * R * Y3 * Y1 * Y3 * R * Y2 * Y1, (Y3 * Y2)^4, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 12, 76)(10, 74, 14, 78)(15, 79, 25, 89)(16, 80, 26, 90)(17, 81, 27, 91)(18, 82, 29, 93)(19, 83, 30, 94)(20, 84, 31, 95)(21, 85, 32, 96)(22, 86, 33, 97)(23, 87, 35, 99)(24, 88, 36, 100)(28, 92, 34, 98)(37, 101, 47, 111)(38, 102, 48, 112)(39, 103, 49, 113)(40, 104, 50, 114)(41, 105, 51, 115)(42, 106, 52, 116)(43, 107, 53, 117)(44, 108, 54, 118)(45, 109, 55, 119)(46, 110, 56, 120)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 145, 209)(137, 201, 146, 210)(139, 203, 148, 212)(140, 204, 150, 214)(141, 205, 151, 215)(144, 208, 155, 219)(147, 211, 156, 220)(149, 213, 161, 225)(152, 216, 162, 226)(153, 217, 165, 229)(154, 218, 167, 231)(157, 221, 166, 230)(158, 222, 168, 232)(159, 223, 170, 234)(160, 224, 172, 236)(163, 227, 171, 235)(164, 228, 173, 237)(169, 233, 178, 242)(174, 238, 183, 247)(175, 239, 185, 249)(176, 240, 187, 251)(177, 241, 186, 250)(179, 243, 188, 252)(180, 244, 189, 253)(181, 245, 191, 255)(182, 246, 190, 254)(184, 248, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 143)(10, 147)(11, 149)(12, 133)(13, 148)(14, 152)(15, 137)(16, 135)(17, 156)(18, 158)(19, 138)(20, 141)(21, 139)(22, 162)(23, 164)(24, 142)(25, 166)(26, 165)(27, 168)(28, 145)(29, 169)(30, 146)(31, 171)(32, 170)(33, 173)(34, 150)(35, 174)(36, 151)(37, 154)(38, 153)(39, 178)(40, 155)(41, 157)(42, 160)(43, 159)(44, 183)(45, 161)(46, 163)(47, 186)(48, 185)(49, 188)(50, 167)(51, 187)(52, 190)(53, 189)(54, 192)(55, 172)(56, 191)(57, 176)(58, 175)(59, 179)(60, 177)(61, 181)(62, 180)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1917
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1761>$ (small group id <128, 1761>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y2 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y2^-1 * Y1 * Y2^-1)^2, Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y1 * Y2^-1 * Y3)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 34, 98)(20, 84, 28, 92)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 54, 118)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 58, 122)(47, 111, 59, 123)(48, 112, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 189, 253, 176, 240)(151, 215, 174, 238, 190, 254, 175, 239)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 191, 255, 188, 252)(164, 228, 186, 250, 192, 256, 187, 251)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 167)(13, 170)(14, 131)(15, 175)(16, 172)(17, 174)(18, 156)(19, 176)(20, 133)(21, 159)(22, 152)(23, 134)(24, 145)(25, 179)(26, 182)(27, 135)(28, 187)(29, 184)(30, 186)(31, 143)(32, 188)(33, 137)(34, 146)(35, 139)(36, 138)(37, 183)(38, 181)(39, 189)(40, 140)(41, 151)(42, 150)(43, 190)(44, 178)(45, 177)(46, 142)(47, 148)(48, 149)(49, 171)(50, 169)(51, 191)(52, 153)(53, 164)(54, 163)(55, 192)(56, 166)(57, 165)(58, 155)(59, 161)(60, 162)(61, 173)(62, 168)(63, 185)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1913
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1761>$ (small group id <128, 1761>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2^4, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 18, 82)(12, 76, 20, 84)(13, 77, 19, 83)(14, 78, 23, 87)(15, 79, 24, 88)(16, 80, 21, 85)(17, 81, 22, 86)(25, 89, 34, 98)(26, 90, 33, 97)(27, 91, 36, 100)(28, 92, 35, 99)(29, 93, 39, 103)(30, 94, 40, 104)(31, 95, 37, 101)(32, 96, 38, 102)(41, 105, 49, 113)(42, 106, 48, 112)(43, 107, 51, 115)(44, 108, 50, 114)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 52, 116)(55, 119, 60, 124)(56, 120, 59, 123)(57, 121, 61, 125)(58, 122, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 146, 210, 137, 201)(132, 196, 142, 206, 153, 217, 140, 204)(134, 198, 144, 208, 154, 218, 141, 205)(136, 200, 149, 213, 161, 225, 147, 211)(138, 202, 151, 215, 162, 226, 148, 212)(143, 207, 155, 219, 169, 233, 157, 221)(145, 209, 156, 220, 170, 234, 159, 223)(150, 214, 163, 227, 176, 240, 165, 229)(152, 216, 164, 228, 177, 241, 167, 231)(158, 222, 173, 237, 183, 247, 171, 235)(160, 224, 175, 239, 184, 248, 172, 236)(166, 230, 180, 244, 187, 251, 178, 242)(168, 232, 182, 246, 188, 252, 179, 243)(174, 238, 185, 249, 191, 255, 186, 250)(181, 245, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 142)(6, 129)(7, 147)(8, 150)(9, 149)(10, 130)(11, 153)(12, 155)(13, 131)(14, 157)(15, 158)(16, 133)(17, 134)(18, 161)(19, 163)(20, 135)(21, 165)(22, 166)(23, 137)(24, 138)(25, 169)(26, 139)(27, 171)(28, 141)(29, 173)(30, 174)(31, 144)(32, 145)(33, 176)(34, 146)(35, 178)(36, 148)(37, 180)(38, 181)(39, 151)(40, 152)(41, 183)(42, 154)(43, 185)(44, 156)(45, 186)(46, 160)(47, 159)(48, 187)(49, 162)(50, 189)(51, 164)(52, 190)(53, 168)(54, 167)(55, 191)(56, 170)(57, 172)(58, 175)(59, 192)(60, 177)(61, 179)(62, 182)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1912
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, Y3^2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 29, 93)(13, 77, 28, 92)(14, 78, 31, 95)(15, 79, 32, 96)(16, 80, 30, 94)(17, 81, 24, 88)(18, 82, 23, 87)(19, 83, 27, 91)(20, 84, 25, 89)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 53, 117)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 55, 119)(41, 105, 48, 112)(42, 106, 56, 120)(43, 107, 52, 116)(44, 108, 54, 118)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 185, 249, 171, 235)(149, 213, 168, 232, 186, 250, 169, 233)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 189, 253, 183, 247)(160, 224, 180, 244, 190, 254, 181, 245)(170, 234, 187, 251, 172, 236, 188, 252)(182, 246, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 169)(15, 166)(16, 168)(17, 171)(18, 133)(19, 170)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 181)(26, 178)(27, 180)(28, 183)(29, 137)(30, 182)(31, 184)(32, 138)(33, 185)(34, 139)(35, 149)(36, 148)(37, 186)(38, 187)(39, 188)(40, 141)(41, 146)(42, 142)(43, 147)(44, 144)(45, 189)(46, 150)(47, 160)(48, 159)(49, 190)(50, 191)(51, 192)(52, 152)(53, 157)(54, 153)(55, 158)(56, 155)(57, 167)(58, 162)(59, 163)(60, 165)(61, 179)(62, 174)(63, 175)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1915
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 18, 82)(12, 76, 23, 87)(13, 77, 21, 85)(14, 78, 20, 84)(15, 79, 24, 88)(16, 80, 19, 83)(17, 81, 22, 86)(25, 89, 34, 98)(26, 90, 33, 97)(27, 91, 39, 103)(28, 92, 37, 101)(29, 93, 36, 100)(30, 94, 40, 104)(31, 95, 35, 99)(32, 96, 38, 102)(41, 105, 49, 113)(42, 106, 48, 112)(43, 107, 54, 118)(44, 108, 52, 116)(45, 109, 51, 115)(46, 110, 53, 117)(47, 111, 50, 114)(55, 119, 60, 124)(56, 120, 59, 123)(57, 121, 62, 126)(58, 122, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 146, 210, 137, 201)(132, 196, 142, 206, 153, 217, 140, 204)(134, 198, 144, 208, 154, 218, 141, 205)(136, 200, 149, 213, 161, 225, 147, 211)(138, 202, 151, 215, 162, 226, 148, 212)(143, 207, 155, 219, 169, 233, 157, 221)(145, 209, 156, 220, 170, 234, 159, 223)(150, 214, 163, 227, 176, 240, 165, 229)(152, 216, 164, 228, 177, 241, 167, 231)(158, 222, 173, 237, 183, 247, 171, 235)(160, 224, 175, 239, 184, 248, 172, 236)(166, 230, 180, 244, 187, 251, 178, 242)(168, 232, 182, 246, 188, 252, 179, 243)(174, 238, 185, 249, 191, 255, 186, 250)(181, 245, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 142)(6, 129)(7, 147)(8, 150)(9, 149)(10, 130)(11, 153)(12, 155)(13, 131)(14, 157)(15, 158)(16, 133)(17, 134)(18, 161)(19, 163)(20, 135)(21, 165)(22, 166)(23, 137)(24, 138)(25, 169)(26, 139)(27, 171)(28, 141)(29, 173)(30, 174)(31, 144)(32, 145)(33, 176)(34, 146)(35, 178)(36, 148)(37, 180)(38, 181)(39, 151)(40, 152)(41, 183)(42, 154)(43, 185)(44, 156)(45, 186)(46, 160)(47, 159)(48, 187)(49, 162)(50, 189)(51, 164)(52, 190)(53, 168)(54, 167)(55, 191)(56, 170)(57, 172)(58, 175)(59, 192)(60, 177)(61, 179)(62, 182)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1914
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1761>$ (small group id <128, 1761>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^2 * Y1, (Y3^-1 * Y2)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y1 * Y2 * Y3^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^6, (Y3 * Y1^-1)^4, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 44, 108, 39, 103, 16, 80, 5, 69)(3, 67, 11, 75, 31, 95, 57, 121, 61, 125, 48, 112, 22, 86, 13, 77)(4, 68, 15, 79, 6, 70, 20, 84, 23, 87, 49, 113, 38, 102, 17, 81)(8, 72, 24, 88, 18, 82, 41, 105, 60, 124, 63, 127, 45, 109, 26, 90)(9, 73, 28, 92, 10, 74, 30, 94, 46, 110, 42, 106, 19, 83, 29, 93)(12, 76, 27, 91, 14, 78, 37, 101, 58, 122, 62, 126, 47, 111, 25, 89)(32, 96, 50, 114, 35, 99, 53, 117, 43, 107, 56, 120, 40, 104, 55, 119)(33, 97, 52, 116, 34, 98, 59, 123, 64, 128, 54, 118, 36, 100, 51, 115)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 160, 224)(141, 205, 163, 227)(143, 207, 161, 225)(144, 208, 159, 223)(145, 209, 162, 226)(147, 211, 165, 229)(148, 212, 164, 228)(149, 213, 173, 237)(151, 215, 175, 239)(152, 216, 178, 242)(154, 218, 181, 245)(156, 220, 179, 243)(157, 221, 180, 244)(158, 222, 182, 246)(166, 230, 186, 250)(167, 231, 188, 252)(168, 232, 185, 249)(169, 233, 183, 247)(170, 234, 187, 251)(171, 235, 176, 240)(172, 236, 189, 253)(174, 238, 190, 254)(177, 241, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 134)(8, 153)(9, 133)(10, 130)(11, 161)(12, 150)(13, 164)(14, 131)(15, 160)(16, 166)(17, 168)(18, 155)(19, 167)(20, 163)(21, 138)(22, 175)(23, 135)(24, 179)(25, 173)(26, 182)(27, 136)(28, 178)(29, 183)(30, 181)(31, 142)(32, 145)(33, 141)(34, 139)(35, 143)(36, 176)(37, 146)(38, 172)(39, 174)(40, 177)(41, 180)(42, 184)(43, 148)(44, 151)(45, 190)(46, 149)(47, 189)(48, 192)(49, 171)(50, 157)(51, 154)(52, 152)(53, 156)(54, 191)(55, 170)(56, 158)(57, 162)(58, 159)(59, 169)(60, 165)(61, 186)(62, 188)(63, 187)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1909
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1761>$ (small group id <128, 1761>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^-2 * Y3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y3^2 * Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 44, 108, 40, 104, 18, 82, 5, 69)(3, 67, 11, 75, 31, 95, 57, 121, 61, 125, 47, 111, 22, 86, 13, 77)(4, 68, 15, 79, 23, 87, 49, 113, 41, 105, 20, 84, 6, 70, 16, 80)(8, 72, 24, 88, 17, 81, 39, 103, 60, 124, 62, 126, 45, 109, 26, 90)(9, 73, 28, 92, 46, 110, 42, 106, 19, 83, 30, 94, 10, 74, 29, 93)(12, 76, 35, 99, 58, 122, 63, 127, 48, 112, 27, 91, 14, 78, 25, 89)(32, 96, 50, 114, 36, 100, 53, 117, 38, 102, 55, 119, 43, 107, 56, 120)(33, 97, 59, 123, 64, 128, 54, 118, 37, 101, 52, 116, 34, 98, 51, 115)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 160, 224)(141, 205, 164, 228)(143, 207, 165, 229)(144, 208, 162, 226)(146, 210, 159, 223)(147, 211, 163, 227)(148, 212, 161, 225)(149, 213, 173, 237)(151, 215, 176, 240)(152, 216, 178, 242)(154, 218, 181, 245)(156, 220, 182, 246)(157, 221, 180, 244)(158, 222, 179, 243)(166, 230, 175, 239)(167, 231, 184, 248)(168, 232, 188, 252)(169, 233, 186, 250)(170, 234, 187, 251)(171, 235, 185, 249)(172, 236, 189, 253)(174, 238, 191, 255)(177, 241, 192, 256)(183, 247, 190, 254)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 151)(8, 153)(9, 149)(10, 130)(11, 161)(12, 159)(13, 162)(14, 131)(15, 166)(16, 164)(17, 163)(18, 134)(19, 133)(20, 160)(21, 174)(22, 142)(23, 172)(24, 179)(25, 145)(26, 180)(27, 136)(28, 183)(29, 181)(30, 178)(31, 186)(32, 144)(33, 185)(34, 139)(35, 188)(36, 143)(37, 141)(38, 177)(39, 187)(40, 147)(41, 146)(42, 184)(43, 148)(44, 169)(45, 155)(46, 168)(47, 165)(48, 150)(49, 171)(50, 157)(51, 167)(52, 152)(53, 156)(54, 154)(55, 170)(56, 158)(57, 192)(58, 189)(59, 190)(60, 191)(61, 176)(62, 182)(63, 173)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1908
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-2 * Y3^2 * Y1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 39, 103, 35, 99, 15, 79, 5, 69)(3, 67, 11, 75, 27, 91, 51, 115, 58, 122, 40, 104, 20, 84, 8, 72)(4, 68, 14, 78, 6, 70, 18, 82, 21, 85, 43, 107, 34, 98, 16, 80)(9, 73, 24, 88, 10, 74, 26, 90, 41, 105, 37, 101, 17, 81, 25, 89)(12, 76, 29, 93, 13, 77, 31, 95, 52, 116, 60, 124, 42, 106, 30, 94)(22, 86, 44, 108, 23, 87, 46, 110, 28, 92, 53, 117, 59, 123, 45, 109)(32, 96, 47, 111, 33, 97, 48, 112, 38, 102, 50, 114, 36, 100, 49, 113)(54, 118, 62, 126, 55, 119, 64, 128, 57, 121, 63, 127, 56, 120, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 151, 215)(138, 202, 150, 214)(142, 206, 157, 221)(143, 207, 155, 219)(144, 208, 159, 223)(145, 209, 156, 220)(146, 210, 158, 222)(147, 211, 168, 232)(149, 213, 170, 234)(152, 216, 172, 236)(153, 217, 174, 238)(154, 218, 173, 237)(160, 224, 183, 247)(161, 225, 182, 246)(162, 226, 180, 244)(163, 227, 179, 243)(164, 228, 185, 249)(165, 229, 181, 245)(166, 230, 184, 248)(167, 231, 186, 250)(169, 233, 187, 251)(171, 235, 188, 252)(175, 239, 190, 254)(176, 240, 189, 253)(177, 241, 192, 256)(178, 242, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 145)(6, 129)(7, 134)(8, 150)(9, 133)(10, 130)(11, 151)(12, 148)(13, 131)(14, 160)(15, 162)(16, 164)(17, 163)(18, 161)(19, 138)(20, 170)(21, 135)(22, 168)(23, 136)(24, 175)(25, 177)(26, 176)(27, 141)(28, 139)(29, 182)(30, 184)(31, 183)(32, 144)(33, 142)(34, 167)(35, 169)(36, 171)(37, 178)(38, 146)(39, 149)(40, 187)(41, 147)(42, 186)(43, 166)(44, 189)(45, 191)(46, 190)(47, 153)(48, 152)(49, 165)(50, 154)(51, 156)(52, 155)(53, 192)(54, 158)(55, 157)(56, 188)(57, 159)(58, 180)(59, 179)(60, 185)(61, 173)(62, 172)(63, 181)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1911
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^2 * Y1^-2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 39, 103, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 51, 115, 58, 122, 40, 104, 20, 84, 8, 72)(4, 68, 14, 78, 21, 85, 43, 107, 36, 100, 18, 82, 6, 70, 15, 79)(9, 73, 24, 88, 41, 105, 37, 101, 17, 81, 26, 90, 10, 74, 25, 89)(12, 76, 29, 93, 52, 116, 60, 124, 42, 106, 31, 95, 13, 77, 30, 94)(22, 86, 44, 108, 28, 92, 53, 117, 59, 123, 46, 110, 23, 87, 45, 109)(32, 96, 47, 111, 38, 102, 50, 114, 34, 98, 49, 113, 33, 97, 48, 112)(54, 118, 64, 128, 57, 121, 63, 127, 56, 120, 62, 126, 55, 119, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 151, 215)(138, 202, 150, 214)(142, 206, 159, 223)(143, 207, 158, 222)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 157, 221)(147, 211, 168, 232)(149, 213, 170, 234)(152, 216, 174, 238)(153, 217, 173, 237)(154, 218, 172, 236)(160, 224, 185, 249)(161, 225, 184, 248)(162, 226, 183, 247)(163, 227, 179, 243)(164, 228, 180, 244)(165, 229, 181, 245)(166, 230, 182, 246)(167, 231, 186, 250)(169, 233, 187, 251)(171, 235, 188, 252)(175, 239, 192, 256)(176, 240, 191, 255)(177, 241, 190, 254)(178, 242, 189, 253)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 149)(8, 150)(9, 147)(10, 130)(11, 156)(12, 155)(13, 131)(14, 160)(15, 161)(16, 134)(17, 133)(18, 162)(19, 169)(20, 141)(21, 167)(22, 139)(23, 136)(24, 175)(25, 176)(26, 177)(27, 180)(28, 179)(29, 182)(30, 183)(31, 184)(32, 171)(33, 142)(34, 143)(35, 145)(36, 144)(37, 178)(38, 146)(39, 164)(40, 151)(41, 163)(42, 148)(43, 166)(44, 189)(45, 190)(46, 191)(47, 165)(48, 152)(49, 153)(50, 154)(51, 187)(52, 186)(53, 192)(54, 188)(55, 157)(56, 158)(57, 159)(58, 170)(59, 168)(60, 185)(61, 181)(62, 172)(63, 173)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1910
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^-1 * Y3^-2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * R * Y2 * Y1^-1 * R, Y2^3 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1 * Y2^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 24, 88, 30, 94, 26, 90)(7, 71, 22, 86, 31, 95, 10, 74)(9, 73, 32, 96, 21, 85, 35, 99)(11, 75, 39, 103, 23, 87, 41, 105)(14, 78, 33, 97, 54, 118, 45, 109)(15, 79, 47, 111, 55, 119, 34, 98)(17, 81, 48, 112, 56, 120, 36, 100)(19, 83, 51, 115, 57, 121, 37, 101)(20, 84, 38, 102, 58, 122, 49, 113)(25, 89, 50, 114, 59, 123, 40, 104)(27, 91, 42, 106, 60, 124, 43, 107)(44, 108, 63, 127, 53, 117, 62, 126)(46, 110, 64, 128, 52, 116, 61, 125)(129, 193, 131, 195, 142, 206, 167, 231, 186, 250, 160, 224, 155, 219, 134, 198)(130, 194, 137, 201, 161, 225, 154, 218, 177, 241, 144, 208, 170, 234, 139, 203)(132, 196, 147, 211, 180, 244, 183, 247, 159, 223, 187, 251, 172, 236, 145, 209)(133, 197, 149, 213, 173, 237, 152, 216, 166, 230, 141, 205, 171, 235, 151, 215)(135, 199, 153, 217, 181, 245, 184, 248, 157, 221, 185, 249, 174, 238, 143, 207)(136, 200, 156, 220, 182, 246, 169, 233, 148, 212, 163, 227, 188, 252, 158, 222)(138, 202, 165, 229, 191, 255, 175, 239, 146, 210, 178, 242, 189, 253, 164, 228)(140, 204, 168, 232, 192, 256, 176, 240, 150, 214, 179, 243, 190, 254, 162, 226)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 157)(9, 162)(10, 166)(11, 168)(12, 130)(13, 164)(14, 172)(15, 163)(16, 176)(17, 131)(18, 133)(19, 134)(20, 135)(21, 175)(22, 177)(23, 178)(24, 165)(25, 169)(26, 179)(27, 180)(28, 183)(29, 186)(30, 187)(31, 136)(32, 184)(33, 189)(34, 141)(35, 145)(36, 137)(37, 139)(38, 140)(39, 185)(40, 152)(41, 147)(42, 191)(43, 190)(44, 188)(45, 192)(46, 142)(47, 144)(48, 149)(49, 146)(50, 154)(51, 151)(52, 182)(53, 155)(54, 181)(55, 160)(56, 156)(57, 158)(58, 159)(59, 167)(60, 174)(61, 171)(62, 161)(63, 173)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1906
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 140>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (Y2^-1 * Y3^-1)^2, (Y3, Y1^-1), (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 21, 85, 9, 73)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 18, 82, 22, 86, 11, 75)(14, 78, 23, 87, 37, 101, 29, 93)(15, 79, 25, 89, 16, 80, 24, 88)(17, 81, 27, 91, 19, 83, 26, 90)(20, 84, 28, 92, 38, 102, 34, 98)(30, 94, 45, 109, 52, 116, 39, 103)(31, 95, 40, 104, 32, 96, 41, 105)(33, 97, 42, 106, 35, 99, 43, 107)(36, 100, 50, 114, 53, 117, 44, 108)(46, 110, 54, 118, 62, 126, 59, 123)(47, 111, 56, 120, 48, 112, 55, 119)(49, 113, 58, 122, 51, 115, 57, 121)(60, 124, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 142, 206, 158, 222, 174, 238, 164, 228, 148, 212, 134, 198)(130, 194, 137, 201, 151, 215, 167, 231, 182, 246, 172, 236, 156, 220, 139, 203)(132, 196, 145, 209, 161, 225, 177, 241, 188, 252, 176, 240, 159, 223, 144, 208)(133, 197, 141, 205, 157, 221, 173, 237, 187, 251, 178, 242, 162, 226, 146, 210)(135, 199, 147, 211, 163, 227, 179, 243, 189, 253, 175, 239, 160, 224, 143, 207)(136, 200, 149, 213, 165, 229, 180, 244, 190, 254, 181, 245, 166, 230, 150, 214)(138, 202, 154, 218, 170, 234, 185, 249, 191, 255, 184, 248, 168, 232, 153, 217)(140, 204, 155, 219, 171, 235, 186, 250, 192, 256, 183, 247, 169, 233, 152, 216)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 147)(7, 129)(8, 135)(9, 152)(10, 133)(11, 155)(12, 130)(13, 153)(14, 159)(15, 149)(16, 131)(17, 134)(18, 154)(19, 150)(20, 161)(21, 144)(22, 145)(23, 168)(24, 141)(25, 137)(26, 139)(27, 146)(28, 170)(29, 169)(30, 175)(31, 165)(32, 142)(33, 166)(34, 171)(35, 148)(36, 179)(37, 160)(38, 163)(39, 183)(40, 157)(41, 151)(42, 162)(43, 156)(44, 186)(45, 184)(46, 188)(47, 180)(48, 158)(49, 164)(50, 185)(51, 181)(52, 176)(53, 177)(54, 191)(55, 173)(56, 167)(57, 172)(58, 178)(59, 192)(60, 190)(61, 174)(62, 189)(63, 187)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1907
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1 * Y3^2 * Y1, (Y3^-2 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * R * Y3 * Y1 * Y3^-1 * R * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 18, 82)(11, 75, 19, 83)(13, 77, 21, 85)(14, 78, 22, 86)(16, 80, 24, 88)(25, 89, 43, 107)(26, 90, 38, 102)(27, 91, 37, 101)(28, 92, 47, 111)(29, 93, 48, 112)(30, 94, 49, 113)(31, 95, 46, 110)(32, 96, 36, 100)(33, 97, 52, 116)(34, 98, 53, 117)(35, 99, 42, 106)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 56, 120)(44, 108, 59, 123)(45, 109, 60, 124)(50, 114, 57, 121)(51, 115, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 156, 220)(139, 203, 158, 222)(140, 204, 159, 223)(142, 206, 157, 221)(143, 207, 163, 227)(145, 209, 164, 228)(146, 210, 167, 231)(147, 211, 169, 233)(148, 212, 170, 234)(150, 214, 168, 232)(151, 215, 174, 238)(154, 218, 175, 239)(155, 219, 177, 241)(160, 224, 176, 240)(161, 225, 178, 242)(162, 226, 179, 243)(165, 229, 182, 246)(166, 230, 184, 248)(171, 235, 183, 247)(172, 236, 185, 249)(173, 237, 186, 250)(180, 244, 189, 253)(181, 245, 190, 254)(187, 251, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 154)(10, 157)(11, 131)(12, 160)(13, 161)(14, 133)(15, 153)(16, 162)(17, 165)(18, 168)(19, 134)(20, 171)(21, 172)(22, 136)(23, 164)(24, 173)(25, 140)(26, 176)(27, 137)(28, 178)(29, 139)(30, 179)(31, 180)(32, 143)(33, 144)(34, 141)(35, 181)(36, 148)(37, 183)(38, 145)(39, 185)(40, 147)(41, 186)(42, 187)(43, 151)(44, 152)(45, 149)(46, 188)(47, 189)(48, 155)(49, 190)(50, 158)(51, 156)(52, 163)(53, 159)(54, 191)(55, 166)(56, 192)(57, 169)(58, 167)(59, 174)(60, 170)(61, 177)(62, 175)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1929
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3^-2 * Y1)^2, (Y3^-2 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2 * R * Y3^-1 * Y1 * Y3^-1 * R * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 19, 83)(11, 75, 18, 82)(13, 77, 24, 88)(14, 78, 22, 86)(16, 80, 21, 85)(25, 89, 43, 107)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 49, 113)(29, 93, 48, 112)(30, 94, 47, 111)(31, 95, 42, 106)(32, 96, 36, 100)(33, 97, 53, 117)(34, 98, 52, 116)(35, 99, 46, 110)(39, 103, 56, 120)(40, 104, 55, 119)(41, 105, 54, 118)(44, 108, 60, 124)(45, 109, 59, 123)(50, 114, 57, 121)(51, 115, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 156, 220)(139, 203, 158, 222)(140, 204, 159, 223)(142, 206, 157, 221)(143, 207, 163, 227)(145, 209, 164, 228)(146, 210, 167, 231)(147, 211, 169, 233)(148, 212, 170, 234)(150, 214, 168, 232)(151, 215, 174, 238)(154, 218, 175, 239)(155, 219, 177, 241)(160, 224, 176, 240)(161, 225, 178, 242)(162, 226, 179, 243)(165, 229, 182, 246)(166, 230, 184, 248)(171, 235, 183, 247)(172, 236, 185, 249)(173, 237, 186, 250)(180, 244, 190, 254)(181, 245, 189, 253)(187, 251, 192, 256)(188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 154)(10, 157)(11, 131)(12, 153)(13, 161)(14, 133)(15, 160)(16, 162)(17, 165)(18, 168)(19, 134)(20, 164)(21, 172)(22, 136)(23, 171)(24, 173)(25, 143)(26, 176)(27, 137)(28, 178)(29, 139)(30, 179)(31, 180)(32, 140)(33, 144)(34, 141)(35, 181)(36, 151)(37, 183)(38, 145)(39, 185)(40, 147)(41, 186)(42, 187)(43, 148)(44, 152)(45, 149)(46, 188)(47, 189)(48, 155)(49, 190)(50, 158)(51, 156)(52, 163)(53, 159)(54, 191)(55, 166)(56, 192)(57, 169)(58, 167)(59, 174)(60, 170)(61, 177)(62, 175)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1928
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1773>$ (small group id <128, 1773>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1)^4, Y2 * Y3^-4 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3^3 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-3 * Y1, Y3^8, Y2^-1 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 37, 101)(16, 80, 28, 92)(18, 82, 40, 104)(19, 83, 25, 89)(22, 86, 46, 110)(23, 87, 44, 108)(24, 88, 51, 115)(27, 91, 54, 118)(29, 93, 43, 107)(31, 95, 45, 109)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 49, 113)(36, 100, 50, 114)(38, 102, 52, 116)(39, 103, 56, 120)(41, 105, 55, 119)(42, 106, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 143, 207, 161, 225, 141, 205)(134, 198, 146, 210, 162, 226, 142, 206)(136, 200, 152, 216, 175, 239, 150, 214)(138, 202, 155, 219, 176, 240, 151, 215)(139, 203, 157, 221, 145, 209, 159, 223)(144, 208, 163, 227, 187, 251, 166, 230)(147, 211, 164, 228, 188, 252, 169, 233)(148, 212, 171, 235, 154, 218, 173, 237)(153, 217, 177, 241, 191, 255, 180, 244)(156, 220, 178, 242, 192, 256, 183, 247)(158, 222, 184, 248, 168, 232, 185, 249)(160, 224, 181, 245, 165, 229, 186, 250)(167, 231, 179, 243, 190, 254, 174, 238)(170, 234, 182, 246, 189, 253, 172, 236)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 152)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 166)(16, 167)(17, 168)(18, 133)(19, 134)(20, 172)(21, 175)(22, 177)(23, 135)(24, 180)(25, 181)(26, 182)(27, 137)(28, 138)(29, 185)(30, 178)(31, 184)(32, 139)(33, 187)(34, 140)(35, 174)(36, 142)(37, 145)(38, 179)(39, 173)(40, 183)(41, 146)(42, 147)(43, 189)(44, 164)(45, 170)(46, 148)(47, 191)(48, 149)(49, 160)(50, 151)(51, 154)(52, 165)(53, 159)(54, 169)(55, 155)(56, 156)(57, 192)(58, 157)(59, 190)(60, 162)(61, 188)(62, 171)(63, 186)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1925
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1773>$ (small group id <128, 1773>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 24, 88)(13, 77, 23, 87)(14, 78, 30, 94)(15, 79, 32, 96)(16, 80, 31, 95)(17, 81, 29, 93)(18, 82, 28, 92)(19, 83, 25, 89)(20, 84, 27, 91)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 52, 116)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 48, 112)(41, 105, 55, 119)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 185, 249, 171, 235)(149, 213, 168, 232, 186, 250, 169, 233)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 189, 253, 183, 247)(160, 224, 180, 244, 190, 254, 181, 245)(170, 234, 187, 251, 172, 236, 188, 252)(182, 246, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 169)(15, 166)(16, 168)(17, 171)(18, 133)(19, 170)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 181)(26, 178)(27, 180)(28, 183)(29, 137)(30, 182)(31, 184)(32, 138)(33, 185)(34, 139)(35, 149)(36, 148)(37, 186)(38, 187)(39, 188)(40, 141)(41, 146)(42, 142)(43, 147)(44, 144)(45, 189)(46, 150)(47, 160)(48, 159)(49, 190)(50, 191)(51, 192)(52, 152)(53, 157)(54, 153)(55, 158)(56, 155)(57, 167)(58, 162)(59, 163)(60, 165)(61, 179)(62, 174)(63, 175)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1924
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1)^4, Y3^2 * Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^8, Y2 * Y1 * Y3 * Y2^-1 * Y3^3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 37, 101)(16, 80, 28, 92)(18, 82, 40, 104)(19, 83, 25, 89)(22, 86, 46, 110)(23, 87, 44, 108)(24, 88, 51, 115)(27, 91, 54, 118)(29, 93, 43, 107)(31, 95, 45, 109)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 52, 116)(36, 100, 55, 119)(38, 102, 49, 113)(39, 103, 56, 120)(41, 105, 50, 114)(42, 106, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 143, 207, 161, 225, 141, 205)(134, 198, 146, 210, 162, 226, 142, 206)(136, 200, 152, 216, 175, 239, 150, 214)(138, 202, 155, 219, 176, 240, 151, 215)(139, 203, 157, 221, 145, 209, 159, 223)(144, 208, 163, 227, 187, 251, 166, 230)(147, 211, 164, 228, 188, 252, 169, 233)(148, 212, 171, 235, 154, 218, 173, 237)(153, 217, 177, 241, 191, 255, 180, 244)(156, 220, 178, 242, 192, 256, 183, 247)(158, 222, 185, 249, 168, 232, 184, 248)(160, 224, 186, 250, 165, 229, 181, 245)(167, 231, 174, 238, 190, 254, 179, 243)(170, 234, 172, 236, 189, 253, 182, 246)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 152)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 166)(16, 167)(17, 168)(18, 133)(19, 134)(20, 172)(21, 175)(22, 177)(23, 135)(24, 180)(25, 181)(26, 182)(27, 137)(28, 138)(29, 184)(30, 183)(31, 185)(32, 139)(33, 187)(34, 140)(35, 179)(36, 142)(37, 145)(38, 174)(39, 171)(40, 178)(41, 146)(42, 147)(43, 170)(44, 169)(45, 189)(46, 148)(47, 191)(48, 149)(49, 165)(50, 151)(51, 154)(52, 160)(53, 157)(54, 164)(55, 155)(56, 156)(57, 192)(58, 159)(59, 190)(60, 162)(61, 188)(62, 173)(63, 186)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1927
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-3, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y3^3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 35, 99)(20, 84, 30, 94)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 60, 124)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 59, 123)(47, 111, 58, 122)(48, 112, 54, 118)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 189, 253, 176, 240)(151, 215, 174, 238, 190, 254, 175, 239)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 191, 255, 188, 252)(164, 228, 186, 250, 192, 256, 187, 251)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 167)(13, 170)(14, 131)(15, 175)(16, 172)(17, 174)(18, 158)(19, 176)(20, 133)(21, 152)(22, 159)(23, 134)(24, 143)(25, 179)(26, 182)(27, 135)(28, 187)(29, 184)(30, 186)(31, 145)(32, 188)(33, 137)(34, 139)(35, 146)(36, 138)(37, 181)(38, 183)(39, 189)(40, 140)(41, 151)(42, 150)(43, 190)(44, 177)(45, 178)(46, 142)(47, 148)(48, 149)(49, 169)(50, 171)(51, 191)(52, 153)(53, 164)(54, 163)(55, 192)(56, 165)(57, 166)(58, 155)(59, 161)(60, 162)(61, 173)(62, 168)(63, 185)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1926
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1773>$ (small group id <128, 1773>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3 * Y1^-2 * Y3, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * R * Y1 * Y2 * R * Y2, Y2 * Y3^-2 * Y2 * Y1^-2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^8, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 46, 110, 43, 107, 18, 82, 5, 69)(3, 67, 11, 75, 31, 95, 61, 125, 63, 127, 49, 113, 22, 86, 13, 77)(4, 68, 15, 79, 23, 87, 51, 115, 44, 108, 20, 84, 6, 70, 16, 80)(8, 72, 24, 88, 17, 81, 42, 106, 62, 126, 64, 128, 47, 111, 26, 90)(9, 73, 28, 92, 48, 112, 45, 109, 19, 83, 30, 94, 10, 74, 29, 93)(12, 76, 27, 91, 55, 119, 25, 89, 50, 114, 38, 102, 14, 78, 35, 99)(32, 96, 52, 116, 36, 100, 56, 120, 41, 105, 60, 124, 39, 103, 58, 122)(33, 97, 54, 118, 40, 104, 53, 117, 37, 101, 59, 123, 34, 98, 57, 121)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 160, 224)(141, 205, 164, 228)(143, 207, 161, 225)(144, 208, 168, 232)(146, 210, 159, 223)(147, 211, 166, 230)(148, 212, 165, 229)(149, 213, 175, 239)(151, 215, 178, 242)(152, 216, 180, 244)(154, 218, 184, 248)(156, 220, 181, 245)(157, 221, 187, 251)(158, 222, 185, 249)(162, 226, 179, 243)(163, 227, 176, 240)(167, 231, 189, 253)(169, 233, 177, 241)(170, 234, 186, 250)(171, 235, 190, 254)(172, 236, 183, 247)(173, 237, 182, 246)(174, 238, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 151)(8, 153)(9, 149)(10, 130)(11, 161)(12, 159)(13, 162)(14, 131)(15, 160)(16, 167)(17, 166)(18, 134)(19, 133)(20, 169)(21, 176)(22, 142)(23, 174)(24, 181)(25, 145)(26, 182)(27, 136)(28, 180)(29, 186)(30, 188)(31, 183)(32, 179)(33, 189)(34, 139)(35, 175)(36, 148)(37, 141)(38, 190)(39, 143)(40, 177)(41, 144)(42, 187)(43, 147)(44, 146)(45, 184)(46, 172)(47, 155)(48, 171)(49, 165)(50, 150)(51, 164)(52, 173)(53, 170)(54, 152)(55, 191)(56, 158)(57, 154)(58, 156)(59, 192)(60, 157)(61, 168)(62, 163)(63, 178)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1921
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1773>$ (small group id <128, 1773>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^2 * Y1^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^2 * Y2 * Y1^-2, Y3^-1 * Y1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^8, (Y2 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 46, 110, 43, 107, 16, 80, 5, 69)(3, 67, 11, 75, 31, 95, 61, 125, 63, 127, 50, 114, 22, 86, 13, 77)(4, 68, 15, 79, 6, 70, 20, 84, 23, 87, 51, 115, 42, 106, 17, 81)(8, 72, 24, 88, 18, 82, 44, 108, 62, 126, 64, 128, 47, 111, 26, 90)(9, 73, 28, 92, 10, 74, 30, 94, 48, 112, 45, 109, 19, 83, 29, 93)(12, 76, 35, 99, 14, 78, 25, 89, 55, 119, 27, 91, 49, 113, 36, 100)(32, 96, 52, 116, 37, 101, 56, 120, 40, 104, 59, 123, 41, 105, 60, 124)(33, 97, 57, 121, 34, 98, 53, 117, 39, 103, 54, 118, 38, 102, 58, 122)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 160, 224)(141, 205, 165, 229)(143, 207, 167, 231)(144, 208, 159, 223)(145, 209, 166, 230)(147, 211, 164, 228)(148, 212, 162, 226)(149, 213, 175, 239)(151, 215, 177, 241)(152, 216, 180, 244)(154, 218, 184, 248)(156, 220, 186, 250)(157, 221, 185, 249)(158, 222, 182, 246)(161, 225, 179, 243)(163, 227, 176, 240)(168, 232, 178, 242)(169, 233, 189, 253)(170, 234, 183, 247)(171, 235, 190, 254)(172, 236, 188, 252)(173, 237, 181, 245)(174, 238, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 134)(8, 153)(9, 133)(10, 130)(11, 161)(12, 150)(13, 166)(14, 131)(15, 168)(16, 170)(17, 165)(18, 155)(19, 171)(20, 169)(21, 138)(22, 177)(23, 135)(24, 181)(25, 175)(26, 185)(27, 136)(28, 187)(29, 184)(30, 188)(31, 142)(32, 148)(33, 141)(34, 139)(35, 190)(36, 146)(37, 179)(38, 178)(39, 189)(40, 145)(41, 143)(42, 174)(43, 176)(44, 182)(45, 180)(46, 151)(47, 163)(48, 149)(49, 191)(50, 167)(51, 160)(52, 158)(53, 154)(54, 152)(55, 159)(56, 173)(57, 192)(58, 172)(59, 157)(60, 156)(61, 162)(62, 164)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1920
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y1^-2 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^5, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 44, 108, 34, 98, 18, 82, 5, 69)(3, 67, 11, 75, 26, 90, 8, 72, 24, 88, 17, 81, 22, 86, 13, 77)(4, 68, 15, 79, 23, 87, 47, 111, 41, 105, 20, 84, 6, 70, 16, 80)(9, 73, 28, 92, 45, 109, 42, 106, 19, 83, 30, 94, 10, 74, 29, 93)(12, 76, 32, 96, 48, 112, 39, 103, 46, 110, 36, 100, 14, 78, 33, 97)(25, 89, 49, 113, 35, 99, 54, 118, 31, 95, 51, 115, 27, 91, 50, 114)(37, 101, 52, 116, 43, 107, 56, 120, 40, 104, 55, 119, 38, 102, 53, 117)(57, 121, 62, 126, 60, 124, 61, 125, 59, 123, 64, 128, 58, 122, 63, 127)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 149, 213)(141, 205, 162, 226)(143, 207, 160, 224)(144, 208, 167, 231)(146, 210, 154, 218)(147, 211, 163, 227)(148, 212, 164, 228)(151, 215, 174, 238)(152, 216, 172, 236)(156, 220, 177, 241)(157, 221, 182, 246)(158, 222, 179, 243)(159, 223, 173, 237)(161, 225, 175, 239)(165, 229, 186, 250)(166, 230, 185, 249)(168, 232, 188, 252)(169, 233, 176, 240)(170, 234, 178, 242)(171, 235, 187, 251)(180, 244, 190, 254)(181, 245, 189, 253)(183, 247, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 151)(8, 153)(9, 149)(10, 130)(11, 155)(12, 154)(13, 159)(14, 131)(15, 165)(16, 166)(17, 163)(18, 134)(19, 133)(20, 168)(21, 173)(22, 142)(23, 172)(24, 174)(25, 145)(26, 176)(27, 136)(28, 180)(29, 181)(30, 183)(31, 139)(32, 185)(33, 186)(34, 147)(35, 141)(36, 187)(37, 175)(38, 143)(39, 188)(40, 144)(41, 146)(42, 184)(43, 148)(44, 169)(45, 162)(46, 150)(47, 171)(48, 152)(49, 189)(50, 190)(51, 191)(52, 170)(53, 156)(54, 192)(55, 157)(56, 158)(57, 167)(58, 160)(59, 161)(60, 164)(61, 182)(62, 177)(63, 178)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1923
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * R * Y2)^2, (Y2 * Y1^-2)^2, Y3^2 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3^8, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 44, 108, 34, 98, 16, 80, 5, 69)(3, 67, 11, 75, 26, 90, 8, 72, 24, 88, 18, 82, 22, 86, 13, 77)(4, 68, 15, 79, 6, 70, 20, 84, 23, 87, 47, 111, 40, 104, 17, 81)(9, 73, 28, 92, 10, 74, 30, 94, 45, 109, 42, 106, 19, 83, 29, 93)(12, 76, 32, 96, 14, 78, 36, 100, 48, 112, 37, 101, 46, 110, 33, 97)(25, 89, 49, 113, 27, 91, 51, 115, 35, 99, 52, 116, 31, 95, 50, 114)(38, 102, 53, 117, 39, 103, 54, 118, 43, 107, 56, 120, 41, 105, 55, 119)(57, 121, 63, 127, 58, 122, 61, 125, 60, 124, 62, 126, 59, 123, 64, 128)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 149, 213)(141, 205, 162, 226)(143, 207, 165, 229)(144, 208, 154, 218)(145, 209, 161, 225)(147, 211, 163, 227)(148, 212, 164, 228)(151, 215, 174, 238)(152, 216, 172, 236)(156, 220, 180, 244)(157, 221, 178, 242)(158, 222, 179, 243)(159, 223, 173, 237)(160, 224, 175, 239)(166, 230, 187, 251)(167, 231, 188, 252)(168, 232, 176, 240)(169, 233, 185, 249)(170, 234, 177, 241)(171, 235, 186, 250)(181, 245, 191, 255)(182, 246, 192, 256)(183, 247, 189, 253)(184, 248, 190, 254)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 134)(8, 153)(9, 133)(10, 130)(11, 159)(12, 150)(13, 163)(14, 131)(15, 166)(16, 168)(17, 169)(18, 155)(19, 162)(20, 167)(21, 138)(22, 174)(23, 135)(24, 176)(25, 139)(26, 142)(27, 136)(28, 181)(29, 183)(30, 182)(31, 141)(32, 185)(33, 187)(34, 173)(35, 146)(36, 186)(37, 188)(38, 145)(39, 143)(40, 172)(41, 175)(42, 184)(43, 148)(44, 151)(45, 149)(46, 152)(47, 171)(48, 154)(49, 189)(50, 191)(51, 190)(52, 192)(53, 157)(54, 156)(55, 170)(56, 158)(57, 161)(58, 160)(59, 165)(60, 164)(61, 178)(62, 177)(63, 180)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1922
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, Y1^4, (Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2^8, Y1^-1 * Y2^3 * Y3^2 * Y1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 24, 88, 9, 73)(4, 68, 17, 81, 25, 89, 12, 76)(6, 70, 21, 85, 26, 90, 11, 75)(7, 71, 20, 84, 27, 91, 10, 74)(14, 78, 28, 92, 50, 114, 35, 99)(15, 79, 30, 94, 51, 115, 37, 101)(16, 80, 29, 93, 52, 116, 36, 100)(18, 82, 33, 97, 53, 117, 42, 106)(19, 83, 32, 96, 54, 118, 43, 107)(22, 86, 31, 95, 55, 119, 46, 110)(23, 87, 34, 98, 56, 120, 47, 111)(38, 102, 62, 126, 45, 109, 57, 121)(39, 103, 61, 125, 48, 112, 59, 123)(40, 104, 63, 127, 44, 108, 58, 122)(41, 105, 64, 128, 49, 113, 60, 124)(129, 193, 131, 195, 142, 206, 166, 230, 182, 246, 177, 241, 151, 215, 134, 198)(130, 194, 137, 201, 156, 220, 185, 249, 171, 235, 192, 256, 162, 226, 139, 203)(132, 196, 146, 210, 172, 236, 179, 243, 155, 219, 183, 247, 167, 231, 144, 208)(133, 197, 141, 205, 163, 227, 190, 254, 160, 224, 188, 252, 175, 239, 149, 213)(135, 199, 150, 214, 176, 240, 180, 244, 153, 217, 181, 245, 168, 232, 143, 207)(136, 200, 152, 216, 178, 242, 173, 237, 147, 211, 169, 233, 184, 248, 154, 218)(138, 202, 159, 223, 189, 253, 164, 228, 145, 209, 170, 234, 186, 250, 158, 222)(140, 204, 161, 225, 191, 255, 165, 229, 148, 212, 174, 238, 187, 251, 157, 221)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 148)(6, 150)(7, 129)(8, 153)(9, 157)(10, 160)(11, 161)(12, 130)(13, 164)(14, 167)(15, 169)(16, 131)(17, 133)(18, 134)(19, 135)(20, 171)(21, 170)(22, 173)(23, 172)(24, 179)(25, 182)(26, 183)(27, 136)(28, 186)(29, 188)(30, 137)(31, 139)(32, 140)(33, 190)(34, 189)(35, 191)(36, 192)(37, 141)(38, 181)(39, 184)(40, 142)(41, 144)(42, 185)(43, 145)(44, 178)(45, 146)(46, 149)(47, 187)(48, 151)(49, 180)(50, 176)(51, 177)(52, 152)(53, 154)(54, 155)(55, 166)(56, 168)(57, 174)(58, 175)(59, 156)(60, 158)(61, 163)(62, 159)(63, 162)(64, 165)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1919
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^2, (R * Y3)^2, (Y1^-1, Y3), Y3^2 * Y1^2, Y3^4, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^3 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 28, 92, 49, 113, 42, 106)(15, 79, 38, 102, 17, 81, 40, 104)(18, 82, 45, 109, 22, 86, 47, 111)(24, 88, 36, 100, 50, 114, 37, 101)(29, 93, 51, 115, 31, 95, 53, 117)(32, 96, 57, 121, 34, 98, 59, 123)(39, 103, 52, 116, 44, 108, 56, 120)(41, 105, 54, 118, 43, 107, 55, 119)(46, 110, 58, 122, 48, 112, 60, 124)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 142, 206, 161, 225, 180, 244, 155, 219, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 151, 215, 172, 236, 144, 208, 164, 228, 139, 203)(132, 196, 146, 210, 174, 238, 181, 245, 192, 256, 185, 249, 169, 233, 145, 209)(133, 197, 147, 211, 170, 234, 149, 213, 167, 231, 141, 205, 165, 229, 148, 212)(135, 199, 150, 214, 176, 240, 179, 243, 191, 255, 187, 251, 171, 235, 143, 207)(136, 200, 153, 217, 177, 241, 163, 227, 184, 248, 158, 222, 178, 242, 154, 218)(138, 202, 160, 224, 186, 250, 166, 230, 189, 253, 175, 239, 182, 246, 159, 223)(140, 204, 162, 226, 188, 252, 168, 232, 190, 254, 173, 237, 183, 247, 157, 221)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 169)(15, 153)(16, 168)(17, 131)(18, 134)(19, 159)(20, 160)(21, 175)(22, 154)(23, 173)(24, 174)(25, 145)(26, 146)(27, 179)(28, 182)(29, 147)(30, 181)(31, 137)(32, 139)(33, 187)(34, 148)(35, 185)(36, 186)(37, 188)(38, 144)(39, 190)(40, 141)(41, 177)(42, 183)(43, 142)(44, 189)(45, 149)(46, 178)(47, 151)(48, 152)(49, 171)(50, 176)(51, 158)(52, 192)(53, 155)(54, 170)(55, 156)(56, 191)(57, 161)(58, 165)(59, 163)(60, 164)(61, 167)(62, 172)(63, 180)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1918
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2, Y3^8, (Y2 * Y1)^4, (Y2 * Y3^-1)^4, (R * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 8, 72)(6, 70, 16, 80)(10, 74, 24, 88)(11, 75, 25, 89)(12, 76, 30, 94)(13, 77, 20, 84)(14, 78, 32, 96)(15, 79, 22, 86)(17, 81, 34, 98)(18, 82, 35, 99)(19, 83, 40, 104)(21, 85, 42, 106)(23, 87, 33, 97)(26, 90, 36, 100)(27, 91, 46, 110)(28, 92, 38, 102)(29, 93, 48, 112)(31, 95, 50, 114)(37, 101, 54, 118)(39, 103, 56, 120)(41, 105, 58, 122)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(47, 111, 55, 119)(49, 113, 57, 121)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 142, 206)(135, 199, 147, 211)(136, 200, 149, 213)(137, 201, 151, 215)(138, 202, 154, 218)(139, 203, 156, 220)(141, 205, 157, 221)(143, 207, 155, 219)(144, 208, 161, 225)(145, 209, 164, 228)(146, 210, 166, 230)(148, 212, 167, 231)(150, 214, 165, 229)(152, 216, 173, 237)(153, 217, 175, 239)(158, 222, 171, 235)(159, 223, 177, 241)(160, 224, 172, 236)(162, 226, 181, 245)(163, 227, 183, 247)(168, 232, 179, 243)(169, 233, 185, 249)(170, 234, 180, 244)(174, 238, 188, 252)(176, 240, 187, 251)(178, 242, 189, 253)(182, 246, 191, 255)(184, 248, 190, 254)(186, 250, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 152)(10, 155)(11, 131)(12, 159)(13, 154)(14, 157)(15, 133)(16, 162)(17, 165)(18, 134)(19, 169)(20, 164)(21, 167)(22, 136)(23, 171)(24, 174)(25, 137)(26, 177)(27, 140)(28, 143)(29, 139)(30, 178)(31, 142)(32, 176)(33, 179)(34, 182)(35, 144)(36, 185)(37, 147)(38, 150)(39, 146)(40, 186)(41, 149)(42, 184)(43, 187)(44, 151)(45, 189)(46, 158)(47, 188)(48, 153)(49, 156)(50, 160)(51, 190)(52, 161)(53, 192)(54, 168)(55, 191)(56, 163)(57, 166)(58, 170)(59, 173)(60, 172)(61, 175)(62, 181)(63, 180)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1940
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 26, 90)(11, 75, 29, 93)(13, 77, 33, 97)(14, 78, 22, 86)(16, 80, 35, 99)(18, 82, 37, 101)(19, 83, 40, 104)(21, 85, 44, 108)(24, 88, 46, 110)(25, 89, 36, 100)(27, 91, 49, 113)(28, 92, 45, 109)(30, 94, 51, 115)(31, 95, 43, 107)(32, 96, 42, 106)(34, 98, 39, 103)(38, 102, 56, 120)(41, 105, 58, 122)(47, 111, 60, 124)(48, 112, 59, 123)(50, 114, 57, 121)(52, 116, 55, 119)(53, 117, 54, 118)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 155, 219)(139, 203, 158, 222)(140, 204, 154, 218)(142, 206, 156, 220)(143, 207, 157, 221)(145, 209, 164, 228)(146, 210, 166, 230)(147, 211, 169, 233)(148, 212, 165, 229)(150, 214, 167, 231)(151, 215, 168, 232)(159, 223, 180, 244)(160, 224, 181, 245)(161, 225, 177, 241)(162, 226, 178, 242)(163, 227, 179, 243)(170, 234, 187, 251)(171, 235, 188, 252)(172, 236, 184, 248)(173, 237, 185, 249)(174, 238, 186, 250)(175, 239, 189, 253)(176, 240, 190, 254)(182, 246, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 149)(10, 156)(11, 131)(12, 159)(13, 162)(14, 133)(15, 160)(16, 145)(17, 141)(18, 167)(19, 134)(20, 170)(21, 173)(22, 136)(23, 171)(24, 137)(25, 166)(26, 175)(27, 178)(28, 139)(29, 176)(30, 164)(31, 143)(32, 140)(33, 180)(34, 144)(35, 181)(36, 155)(37, 182)(38, 185)(39, 147)(40, 183)(41, 153)(42, 151)(43, 148)(44, 187)(45, 152)(46, 188)(47, 157)(48, 154)(49, 189)(50, 158)(51, 190)(52, 163)(53, 161)(54, 168)(55, 165)(56, 191)(57, 169)(58, 192)(59, 174)(60, 172)(61, 179)(62, 177)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1941
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2 * Y3^2 * Y1 * Y2^-1, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * R * Y3^2 * Y1 * R * Y2^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 25, 89)(14, 78, 26, 90)(15, 79, 27, 91)(16, 80, 28, 92)(17, 81, 29, 93)(19, 83, 31, 95)(20, 84, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(45, 109, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 163, 227, 146, 210, 156, 220)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 151, 215, 174, 238, 158, 222)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 187, 251, 172, 236, 185, 249)(171, 235, 188, 252, 173, 237, 186, 250)(181, 245, 191, 255, 183, 247, 189, 253)(182, 246, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 154)(12, 164)(13, 151)(14, 131)(15, 170)(16, 134)(17, 172)(18, 160)(19, 158)(20, 133)(21, 171)(22, 173)(23, 142)(24, 175)(25, 139)(26, 135)(27, 181)(28, 138)(29, 183)(30, 148)(31, 146)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1939
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1920>$ (small group id <128, 1920>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * R * Y2 * Y1 * Y2 * R * Y2 * Y1, Y3^-2 * Y2^-2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 27, 91)(14, 78, 33, 97)(15, 79, 25, 89)(16, 80, 28, 92)(17, 81, 31, 95)(19, 83, 29, 93)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 32, 96)(35, 99, 48, 112)(36, 100, 47, 111)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 55, 119)(40, 104, 56, 120)(41, 105, 54, 118)(42, 106, 53, 117)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 189, 253, 174, 238, 188, 252)(184, 248, 192, 256, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 161)(12, 165)(13, 168)(14, 131)(15, 151)(16, 134)(17, 158)(18, 162)(19, 173)(20, 133)(21, 172)(22, 174)(23, 149)(24, 177)(25, 180)(26, 135)(27, 139)(28, 138)(29, 146)(30, 150)(31, 185)(32, 137)(33, 184)(34, 186)(35, 183)(36, 182)(37, 187)(38, 140)(39, 176)(40, 142)(41, 175)(42, 188)(43, 189)(44, 143)(45, 148)(46, 145)(47, 171)(48, 170)(49, 190)(50, 152)(51, 164)(52, 154)(53, 163)(54, 191)(55, 192)(56, 155)(57, 160)(58, 157)(59, 166)(60, 167)(61, 169)(62, 178)(63, 179)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1937
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1787>$ (small group id <128, 1787>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, Y3^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-2 * Y3^-1 * Y2 * Y3^2 * Y2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 27, 91)(14, 78, 33, 97)(15, 79, 25, 89)(16, 80, 28, 92)(17, 81, 31, 95)(19, 83, 29, 93)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 32, 96)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 53, 117)(40, 104, 56, 120)(41, 105, 51, 115)(42, 106, 55, 119)(43, 107, 54, 118)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 188, 252, 174, 238, 187, 251)(184, 248, 191, 255, 186, 250, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 161)(12, 165)(13, 168)(14, 131)(15, 151)(16, 134)(17, 158)(18, 162)(19, 173)(20, 133)(21, 172)(22, 174)(23, 149)(24, 177)(25, 180)(26, 135)(27, 139)(28, 138)(29, 146)(30, 150)(31, 185)(32, 137)(33, 184)(34, 186)(35, 181)(36, 179)(37, 189)(38, 140)(39, 187)(40, 142)(41, 188)(42, 176)(43, 175)(44, 143)(45, 148)(46, 145)(47, 169)(48, 167)(49, 192)(50, 152)(51, 190)(52, 154)(53, 191)(54, 164)(55, 163)(56, 155)(57, 160)(58, 157)(59, 170)(60, 171)(61, 166)(62, 182)(63, 183)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1936
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y3^2 * Y1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (Y2^-2 * Y1)^2, Y2 * Y1 * Y3^2 * Y2^-1 * Y1, Y2 * R * Y1 * Y3^-2 * R * Y2^-1 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 25, 89)(14, 78, 26, 90)(15, 79, 27, 91)(16, 80, 28, 92)(17, 81, 29, 93)(19, 83, 31, 95)(20, 84, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(45, 109, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 163, 227, 146, 210, 156, 220)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 151, 215, 174, 238, 158, 222)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 188, 252, 172, 236, 186, 250)(171, 235, 187, 251, 173, 237, 185, 249)(181, 245, 192, 256, 183, 247, 190, 254)(182, 246, 191, 255, 184, 248, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 154)(12, 164)(13, 151)(14, 131)(15, 170)(16, 134)(17, 172)(18, 160)(19, 158)(20, 133)(21, 171)(22, 173)(23, 142)(24, 175)(25, 139)(26, 135)(27, 181)(28, 138)(29, 183)(30, 148)(31, 146)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1938
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1787>$ (small group id <128, 1787>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y3 * Y1^2 * Y3^-1 * Y1^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1^-3, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 45, 109, 44, 108, 18, 82, 5, 69)(3, 67, 8, 72, 23, 87, 46, 110, 61, 125, 60, 124, 37, 101, 12, 76)(4, 68, 14, 78, 30, 94, 9, 73, 28, 92, 17, 81, 24, 88, 16, 80)(6, 70, 20, 84, 32, 96, 10, 74, 31, 95, 19, 83, 25, 89, 21, 85)(11, 75, 33, 97, 52, 116, 26, 90, 50, 114, 36, 100, 47, 111, 35, 99)(13, 77, 39, 103, 54, 118, 27, 91, 53, 117, 38, 102, 48, 112, 40, 104)(15, 79, 29, 93, 49, 113, 41, 105, 55, 119, 43, 107, 56, 120, 42, 106)(34, 98, 51, 115, 62, 126, 57, 121, 63, 127, 59, 123, 64, 128, 58, 122)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 167, 231)(143, 207, 162, 226)(144, 208, 168, 232)(145, 209, 166, 230)(146, 210, 165, 229)(147, 211, 164, 228)(148, 212, 161, 225)(149, 213, 163, 227)(150, 214, 174, 238)(152, 216, 176, 240)(153, 217, 175, 239)(156, 220, 181, 245)(157, 221, 179, 243)(158, 222, 182, 246)(159, 223, 178, 242)(160, 224, 180, 244)(169, 233, 185, 249)(170, 234, 186, 250)(171, 235, 187, 251)(172, 236, 188, 252)(173, 237, 189, 253)(177, 241, 190, 254)(183, 247, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 139)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 164)(13, 131)(14, 169)(15, 134)(16, 171)(17, 170)(18, 158)(19, 133)(20, 150)(21, 172)(22, 142)(23, 175)(24, 177)(25, 135)(26, 179)(27, 136)(28, 183)(29, 138)(30, 184)(31, 173)(32, 146)(33, 185)(34, 141)(35, 187)(36, 186)(37, 180)(38, 140)(39, 174)(40, 188)(41, 148)(42, 147)(43, 149)(44, 144)(45, 156)(46, 161)(47, 190)(48, 151)(49, 153)(50, 191)(51, 155)(52, 192)(53, 189)(54, 165)(55, 159)(56, 160)(57, 167)(58, 166)(59, 168)(60, 163)(61, 178)(62, 176)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1934
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1920>$ (small group id <128, 1920>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 45, 109, 43, 107, 18, 82, 5, 69)(3, 67, 8, 72, 23, 87, 46, 110, 61, 125, 59, 123, 37, 101, 12, 76)(4, 68, 14, 78, 32, 96, 10, 74, 31, 95, 19, 83, 24, 88, 16, 80)(6, 70, 20, 84, 30, 94, 9, 73, 28, 92, 17, 81, 25, 89, 21, 85)(11, 75, 33, 97, 54, 118, 27, 91, 53, 117, 38, 102, 47, 111, 35, 99)(13, 77, 39, 103, 52, 116, 26, 90, 50, 114, 36, 100, 48, 112, 40, 104)(15, 79, 29, 93, 49, 113, 41, 105, 55, 119, 44, 108, 56, 120, 42, 106)(34, 98, 51, 115, 62, 126, 57, 121, 63, 127, 60, 124, 64, 128, 58, 122)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 167, 231)(143, 207, 162, 226)(144, 208, 168, 232)(145, 209, 166, 230)(146, 210, 165, 229)(147, 211, 164, 228)(148, 212, 161, 225)(149, 213, 163, 227)(150, 214, 174, 238)(152, 216, 176, 240)(153, 217, 175, 239)(156, 220, 181, 245)(157, 221, 179, 243)(158, 222, 182, 246)(159, 223, 178, 242)(160, 224, 180, 244)(169, 233, 185, 249)(170, 234, 186, 250)(171, 235, 187, 251)(172, 236, 188, 252)(173, 237, 189, 253)(177, 241, 190, 254)(183, 247, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 139)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 164)(13, 131)(14, 150)(15, 134)(16, 171)(17, 170)(18, 160)(19, 133)(20, 169)(21, 172)(22, 148)(23, 175)(24, 177)(25, 135)(26, 179)(27, 136)(28, 173)(29, 138)(30, 146)(31, 183)(32, 184)(33, 174)(34, 141)(35, 187)(36, 186)(37, 182)(38, 140)(39, 185)(40, 188)(41, 142)(42, 147)(43, 149)(44, 144)(45, 159)(46, 167)(47, 190)(48, 151)(49, 153)(50, 189)(51, 155)(52, 165)(53, 191)(54, 192)(55, 156)(56, 158)(57, 161)(58, 166)(59, 168)(60, 163)(61, 181)(62, 176)(63, 178)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1933
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2 * Y1^2)^2, Y3 * Y1^-3 * Y3^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1^-3, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 48, 112, 41, 105, 20, 84, 5, 69)(3, 67, 11, 75, 30, 94, 8, 72, 28, 92, 18, 82, 25, 89, 13, 77)(4, 68, 15, 79, 34, 98, 9, 73, 32, 96, 19, 83, 26, 90, 17, 81)(6, 70, 22, 86, 36, 100, 10, 74, 35, 99, 21, 85, 27, 91, 23, 87)(12, 76, 29, 93, 49, 113, 37, 101, 52, 116, 42, 106, 55, 119, 40, 104)(14, 78, 31, 95, 50, 114, 38, 102, 53, 117, 43, 107, 56, 120, 44, 108)(16, 80, 33, 97, 51, 115, 45, 109, 57, 121, 47, 111, 58, 122, 46, 110)(39, 103, 59, 123, 64, 128, 54, 118, 63, 127, 61, 125, 62, 126, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 152, 216)(141, 205, 169, 233)(143, 207, 166, 230)(144, 208, 167, 231)(145, 209, 171, 235)(147, 211, 172, 236)(148, 212, 158, 222)(149, 213, 168, 232)(150, 214, 165, 229)(151, 215, 170, 234)(154, 218, 178, 242)(155, 219, 177, 241)(156, 220, 176, 240)(160, 224, 181, 245)(161, 225, 182, 246)(162, 226, 184, 248)(163, 227, 180, 244)(164, 228, 183, 247)(173, 237, 187, 251)(174, 238, 189, 253)(175, 239, 188, 252)(179, 243, 190, 254)(185, 249, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 165)(12, 167)(13, 170)(14, 131)(15, 173)(16, 134)(17, 175)(18, 168)(19, 174)(20, 162)(21, 133)(22, 152)(23, 169)(24, 143)(25, 177)(26, 179)(27, 135)(28, 180)(29, 182)(30, 183)(31, 136)(32, 185)(33, 138)(34, 186)(35, 176)(36, 148)(37, 187)(38, 139)(39, 142)(40, 189)(41, 145)(42, 188)(43, 141)(44, 146)(45, 150)(46, 149)(47, 151)(48, 160)(49, 190)(50, 153)(51, 155)(52, 191)(53, 156)(54, 159)(55, 192)(56, 158)(57, 163)(58, 164)(59, 166)(60, 171)(61, 172)(62, 178)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1935
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, Y1^-1 * Y3^-2 * Y1 * Y3^-2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, (Y2 * Y1^-2)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 50, 114, 48, 112, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 59, 123, 64, 128, 53, 117, 25, 89, 13, 77)(4, 68, 15, 79, 36, 100, 10, 74, 35, 99, 21, 85, 26, 90, 17, 81)(6, 70, 22, 86, 34, 98, 9, 73, 32, 96, 19, 83, 27, 91, 23, 87)(8, 72, 28, 92, 18, 82, 49, 113, 63, 127, 41, 105, 51, 115, 30, 94)(12, 76, 29, 93, 52, 116, 40, 104, 58, 122, 45, 109, 62, 126, 42, 106)(14, 78, 31, 95, 54, 118, 39, 103, 57, 121, 44, 108, 61, 125, 46, 110)(16, 80, 33, 97, 55, 119, 38, 102, 56, 120, 43, 107, 60, 124, 47, 111)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 168, 232)(144, 208, 169, 233)(145, 209, 173, 237)(147, 211, 174, 238)(148, 212, 165, 229)(149, 213, 170, 234)(150, 214, 167, 231)(151, 215, 172, 236)(152, 216, 179, 243)(154, 218, 182, 246)(155, 219, 180, 244)(156, 220, 184, 248)(158, 222, 188, 252)(160, 224, 186, 250)(161, 225, 187, 251)(162, 226, 190, 254)(163, 227, 185, 249)(164, 228, 189, 253)(175, 239, 181, 245)(176, 240, 191, 255)(177, 241, 183, 247)(178, 242, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 169)(13, 172)(14, 131)(15, 152)(16, 134)(17, 176)(18, 170)(19, 175)(20, 164)(21, 133)(22, 166)(23, 171)(24, 150)(25, 180)(26, 183)(27, 135)(28, 185)(29, 187)(30, 189)(31, 136)(32, 178)(33, 138)(34, 148)(35, 184)(36, 188)(37, 190)(38, 143)(39, 179)(40, 139)(41, 142)(42, 181)(43, 145)(44, 191)(45, 141)(46, 146)(47, 149)(48, 151)(49, 182)(50, 163)(51, 168)(52, 177)(53, 174)(54, 153)(55, 155)(56, 160)(57, 192)(58, 156)(59, 159)(60, 162)(61, 165)(62, 158)(63, 173)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1932
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), (Y2^-1 * Y3)^2, (Y2 * R)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y2, Y3), (Y3^-1 * Y1^-1)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1^2 * Y2, Y2^-3 * Y1^-2 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 26, 90, 16, 80)(4, 68, 18, 82, 27, 91, 12, 76)(6, 70, 22, 86, 28, 92, 23, 87)(7, 71, 20, 84, 29, 93, 10, 74)(9, 73, 30, 94, 19, 83, 33, 97)(11, 75, 35, 99, 21, 85, 36, 100)(14, 78, 37, 101, 24, 88, 31, 95)(15, 79, 43, 107, 25, 89, 42, 106)(17, 81, 45, 109, 48, 112, 40, 104)(32, 96, 53, 117, 38, 102, 52, 116)(34, 98, 55, 119, 47, 111, 50, 114)(39, 103, 49, 113, 44, 108, 54, 118)(41, 105, 56, 120, 46, 110, 51, 115)(57, 121, 64, 128, 59, 123, 62, 126)(58, 122, 63, 127, 60, 124, 61, 125)(129, 193, 131, 195, 142, 206, 156, 220, 136, 200, 154, 218, 152, 216, 134, 198)(130, 194, 137, 201, 159, 223, 149, 213, 133, 197, 147, 211, 165, 229, 139, 203)(132, 196, 143, 207, 157, 221, 176, 240, 155, 219, 153, 217, 135, 199, 145, 209)(138, 202, 160, 224, 146, 210, 175, 239, 148, 212, 166, 230, 140, 204, 162, 226)(141, 205, 167, 231, 150, 214, 174, 238, 144, 208, 172, 236, 151, 215, 169, 233)(158, 222, 177, 241, 163, 227, 184, 248, 161, 225, 182, 246, 164, 228, 179, 243)(168, 232, 185, 249, 171, 235, 188, 252, 173, 237, 187, 251, 170, 234, 186, 250)(178, 242, 189, 253, 181, 245, 192, 256, 183, 247, 191, 255, 180, 244, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 148)(6, 145)(7, 129)(8, 155)(9, 160)(10, 159)(11, 162)(12, 130)(13, 168)(14, 157)(15, 156)(16, 173)(17, 131)(18, 133)(19, 166)(20, 165)(21, 175)(22, 171)(23, 170)(24, 135)(25, 134)(26, 153)(27, 152)(28, 176)(29, 136)(30, 178)(31, 146)(32, 149)(33, 183)(34, 137)(35, 181)(36, 180)(37, 140)(38, 139)(39, 185)(40, 150)(41, 186)(42, 141)(43, 144)(44, 187)(45, 151)(46, 188)(47, 147)(48, 154)(49, 189)(50, 163)(51, 190)(52, 158)(53, 161)(54, 191)(55, 164)(56, 192)(57, 174)(58, 167)(59, 169)(60, 172)(61, 184)(62, 177)(63, 179)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1930
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 146>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^4, (Y3^-1 * Y2^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y1^-1 * Y2^2 * Y1 * Y2^2, Y1^-1 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, (Y2^-1 * Y1^-1 * R)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 24, 88, 30, 94, 26, 90)(7, 71, 22, 86, 31, 95, 10, 74)(9, 73, 32, 96, 21, 85, 35, 99)(11, 75, 39, 103, 23, 87, 41, 105)(14, 78, 42, 106, 52, 116, 44, 108)(15, 79, 46, 110, 53, 117, 40, 104)(17, 81, 48, 112, 54, 118, 37, 101)(19, 83, 51, 115, 55, 119, 36, 100)(20, 84, 38, 102, 56, 120, 47, 111)(25, 89, 50, 114, 57, 121, 34, 98)(27, 91, 33, 97, 58, 122, 49, 113)(43, 107, 61, 125, 63, 127, 59, 123)(45, 109, 62, 126, 64, 128, 60, 124)(129, 193, 131, 195, 142, 206, 163, 227, 148, 212, 169, 233, 155, 219, 134, 198)(130, 194, 137, 201, 161, 225, 141, 205, 166, 230, 152, 216, 170, 234, 139, 203)(132, 196, 147, 211, 173, 237, 143, 207, 135, 199, 153, 217, 171, 235, 145, 209)(133, 197, 149, 213, 177, 241, 144, 208, 175, 239, 154, 218, 172, 236, 151, 215)(136, 200, 156, 220, 180, 244, 160, 224, 184, 248, 167, 231, 186, 250, 158, 222)(138, 202, 165, 229, 188, 252, 162, 226, 140, 204, 168, 232, 187, 251, 164, 228)(146, 210, 174, 238, 189, 253, 179, 243, 150, 214, 176, 240, 190, 254, 178, 242)(157, 221, 183, 247, 192, 256, 181, 245, 159, 223, 185, 249, 191, 255, 182, 246)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 157)(9, 162)(10, 166)(11, 168)(12, 130)(13, 165)(14, 171)(15, 169)(16, 176)(17, 131)(18, 133)(19, 134)(20, 135)(21, 178)(22, 175)(23, 174)(24, 164)(25, 163)(26, 179)(27, 173)(28, 181)(29, 184)(30, 185)(31, 136)(32, 183)(33, 187)(34, 152)(35, 147)(36, 137)(37, 139)(38, 140)(39, 182)(40, 141)(41, 145)(42, 188)(43, 155)(44, 190)(45, 142)(46, 144)(47, 146)(48, 151)(49, 189)(50, 154)(51, 149)(52, 191)(53, 167)(54, 156)(55, 158)(56, 159)(57, 160)(58, 192)(59, 170)(60, 161)(61, 172)(62, 177)(63, 186)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1931
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y3 * Y2)^4, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 16, 80)(10, 74, 19, 83)(12, 76, 21, 85)(14, 78, 24, 88)(15, 79, 20, 84)(17, 81, 26, 90)(18, 82, 27, 91)(22, 86, 30, 94)(23, 87, 31, 95)(25, 89, 33, 97)(28, 92, 36, 100)(29, 93, 37, 101)(32, 96, 40, 104)(34, 98, 42, 106)(35, 99, 43, 107)(38, 102, 46, 110)(39, 103, 47, 111)(41, 105, 49, 113)(44, 108, 52, 116)(45, 109, 53, 117)(48, 112, 56, 120)(50, 114, 58, 122)(51, 115, 55, 119)(54, 118, 61, 125)(57, 121, 62, 126)(59, 123, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 145, 209)(137, 201, 144, 208)(139, 203, 148, 212)(140, 204, 150, 214)(141, 205, 149, 213)(146, 210, 156, 220)(147, 211, 154, 218)(151, 215, 160, 224)(152, 216, 158, 222)(153, 217, 162, 226)(155, 219, 161, 225)(157, 221, 166, 230)(159, 223, 165, 229)(163, 227, 172, 236)(164, 228, 170, 234)(167, 231, 176, 240)(168, 232, 174, 238)(169, 233, 178, 242)(171, 235, 177, 241)(173, 237, 182, 246)(175, 239, 181, 245)(179, 243, 187, 251)(180, 244, 186, 250)(183, 247, 190, 254)(184, 248, 189, 253)(185, 249, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 142)(8, 131)(9, 146)(10, 139)(11, 138)(12, 133)(13, 151)(14, 135)(15, 150)(16, 153)(17, 148)(18, 137)(19, 156)(20, 145)(21, 157)(22, 143)(23, 141)(24, 160)(25, 144)(26, 162)(27, 163)(28, 147)(29, 149)(30, 166)(31, 167)(32, 152)(33, 169)(34, 154)(35, 155)(36, 172)(37, 173)(38, 158)(39, 159)(40, 176)(41, 161)(42, 178)(43, 179)(44, 164)(45, 165)(46, 182)(47, 183)(48, 168)(49, 185)(50, 170)(51, 171)(52, 187)(53, 188)(54, 174)(55, 175)(56, 190)(57, 177)(58, 191)(59, 180)(60, 181)(61, 192)(62, 184)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1949
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-4, (Y3^-1, Y2), Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^4 * Y2^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 37, 101)(18, 82, 38, 102)(19, 83, 24, 88)(22, 86, 42, 106)(23, 87, 40, 104)(25, 89, 47, 111)(27, 91, 48, 112)(29, 93, 39, 103)(31, 95, 41, 105)(33, 97, 44, 108)(34, 98, 43, 107)(35, 99, 54, 118)(36, 100, 51, 115)(45, 109, 60, 124)(46, 110, 57, 121)(49, 113, 56, 120)(50, 114, 55, 119)(52, 116, 59, 123)(53, 117, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 141, 205, 161, 225, 144, 208)(134, 198, 142, 206, 162, 226, 146, 210)(136, 200, 150, 214, 171, 235, 153, 217)(138, 202, 151, 215, 172, 236, 155, 219)(139, 203, 157, 221, 145, 209, 159, 223)(143, 207, 163, 227, 147, 211, 164, 228)(148, 212, 167, 231, 154, 218, 169, 233)(152, 216, 173, 237, 156, 220, 174, 238)(158, 222, 177, 241, 166, 230, 180, 244)(160, 224, 178, 242, 165, 229, 181, 245)(168, 232, 183, 247, 176, 240, 186, 250)(170, 234, 184, 248, 175, 239, 187, 251)(179, 243, 189, 253, 182, 246, 190, 254)(185, 249, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 150)(8, 152)(9, 153)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 162)(16, 164)(17, 166)(18, 133)(19, 134)(20, 168)(21, 171)(22, 173)(23, 135)(24, 172)(25, 174)(26, 176)(27, 137)(28, 138)(29, 177)(30, 179)(31, 180)(32, 139)(33, 147)(34, 140)(35, 146)(36, 142)(37, 145)(38, 182)(39, 183)(40, 185)(41, 186)(42, 148)(43, 156)(44, 149)(45, 155)(46, 151)(47, 154)(48, 188)(49, 189)(50, 157)(51, 165)(52, 190)(53, 159)(54, 160)(55, 191)(56, 167)(57, 175)(58, 192)(59, 169)(60, 170)(61, 181)(62, 178)(63, 187)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1946
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 1780>$ (small group id <128, 1780>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y3^-1, (R * Y3)^2, Y2^4, (R * Y1)^2, (Y1 * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3^-1 * Y2^-1 * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 22, 86)(14, 78, 23, 87)(15, 79, 20, 84)(16, 80, 21, 85)(25, 89, 33, 97)(26, 90, 36, 100)(27, 91, 34, 98)(28, 92, 35, 99)(29, 93, 37, 101)(30, 94, 40, 104)(31, 95, 38, 102)(32, 96, 39, 103)(41, 105, 49, 113)(42, 106, 52, 116)(43, 107, 50, 114)(44, 108, 51, 115)(45, 109, 53, 117)(46, 110, 56, 120)(47, 111, 54, 118)(48, 112, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 154, 218)(141, 205, 155, 219, 142, 206, 156, 220)(146, 210, 157, 221, 152, 216, 158, 222)(148, 212, 159, 223, 149, 213, 160, 224)(161, 225, 169, 233, 164, 228, 170, 234)(162, 226, 171, 235, 163, 227, 172, 236)(165, 229, 173, 237, 168, 232, 174, 238)(166, 230, 175, 239, 167, 231, 176, 240)(177, 241, 185, 249, 180, 244, 186, 250)(178, 242, 187, 251, 179, 243, 188, 252)(181, 245, 189, 253, 184, 248, 190, 254)(182, 246, 191, 255, 183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 151)(12, 134)(13, 133)(14, 131)(15, 146)(16, 152)(17, 150)(18, 144)(19, 138)(20, 137)(21, 135)(22, 139)(23, 145)(24, 143)(25, 162)(26, 163)(27, 161)(28, 164)(29, 166)(30, 167)(31, 165)(32, 168)(33, 156)(34, 154)(35, 153)(36, 155)(37, 160)(38, 158)(39, 157)(40, 159)(41, 178)(42, 179)(43, 177)(44, 180)(45, 182)(46, 183)(47, 181)(48, 184)(49, 172)(50, 170)(51, 169)(52, 171)(53, 176)(54, 174)(55, 173)(56, 175)(57, 192)(58, 191)(59, 189)(60, 190)(61, 188)(62, 187)(63, 185)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1947
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y3^-2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, Y2^4, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(14, 78, 19, 83)(15, 79, 20, 84)(21, 85, 26, 90)(22, 86, 25, 89)(23, 87, 28, 92)(24, 88, 27, 91)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 42, 106)(38, 102, 41, 105)(39, 103, 44, 108)(40, 104, 43, 107)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 58, 122)(54, 118, 57, 121)(55, 119, 60, 124)(56, 120, 59, 123)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 144, 208, 137, 201)(132, 196, 142, 206, 134, 198, 143, 207)(136, 200, 147, 211, 138, 202, 148, 212)(140, 204, 149, 213, 141, 205, 150, 214)(145, 209, 153, 217, 146, 210, 154, 218)(151, 215, 159, 223, 152, 216, 160, 224)(155, 219, 163, 227, 156, 220, 164, 228)(157, 221, 165, 229, 158, 222, 166, 230)(161, 225, 169, 233, 162, 226, 170, 234)(167, 231, 175, 239, 168, 232, 176, 240)(171, 235, 179, 243, 172, 236, 180, 244)(173, 237, 181, 245, 174, 238, 182, 246)(177, 241, 185, 249, 178, 242, 186, 250)(183, 247, 189, 253, 184, 248, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 139)(5, 141)(6, 129)(7, 145)(8, 144)(9, 146)(10, 130)(11, 134)(12, 133)(13, 131)(14, 151)(15, 152)(16, 138)(17, 137)(18, 135)(19, 155)(20, 156)(21, 157)(22, 158)(23, 143)(24, 142)(25, 161)(26, 162)(27, 148)(28, 147)(29, 150)(30, 149)(31, 167)(32, 168)(33, 154)(34, 153)(35, 171)(36, 172)(37, 173)(38, 174)(39, 160)(40, 159)(41, 177)(42, 178)(43, 164)(44, 163)(45, 166)(46, 165)(47, 183)(48, 184)(49, 170)(50, 169)(51, 187)(52, 188)(53, 189)(54, 190)(55, 176)(56, 175)(57, 191)(58, 192)(59, 180)(60, 179)(61, 182)(62, 181)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1948
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, Y3^2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 18, 82, 35, 99, 33, 97, 16, 80, 5, 69)(3, 67, 11, 75, 25, 89, 45, 109, 53, 117, 38, 102, 19, 83, 13, 77)(4, 68, 9, 73, 20, 84, 37, 101, 34, 98, 17, 81, 6, 70, 10, 74)(8, 72, 21, 85, 15, 79, 31, 95, 51, 115, 54, 118, 36, 100, 23, 87)(12, 76, 27, 91, 46, 110, 57, 121, 39, 103, 30, 94, 14, 78, 28, 92)(22, 86, 41, 105, 32, 96, 52, 116, 55, 119, 44, 108, 24, 88, 42, 106)(26, 90, 40, 104, 29, 93, 43, 107, 56, 120, 63, 127, 61, 125, 48, 112)(47, 111, 58, 122, 50, 114, 60, 124, 64, 128, 62, 126, 49, 113, 59, 123)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 143, 207)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 152, 216)(138, 202, 150, 214)(139, 203, 154, 218)(141, 205, 157, 221)(144, 208, 153, 217)(145, 209, 160, 224)(146, 210, 164, 228)(148, 212, 167, 231)(149, 213, 168, 232)(151, 215, 171, 235)(155, 219, 177, 241)(156, 220, 175, 239)(158, 222, 178, 242)(159, 223, 176, 240)(161, 225, 179, 243)(162, 226, 174, 238)(163, 227, 181, 245)(165, 229, 183, 247)(166, 230, 184, 248)(169, 233, 187, 251)(170, 234, 186, 250)(172, 236, 188, 252)(173, 237, 189, 253)(180, 244, 190, 254)(182, 246, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 148)(8, 150)(9, 146)(10, 130)(11, 155)(12, 153)(13, 156)(14, 131)(15, 160)(16, 134)(17, 133)(18, 165)(19, 142)(20, 163)(21, 169)(22, 143)(23, 170)(24, 136)(25, 174)(26, 175)(27, 173)(28, 139)(29, 178)(30, 141)(31, 180)(32, 179)(33, 145)(34, 144)(35, 162)(36, 152)(37, 161)(38, 158)(39, 147)(40, 186)(41, 159)(42, 149)(43, 188)(44, 151)(45, 185)(46, 181)(47, 157)(48, 187)(49, 154)(50, 184)(51, 183)(52, 182)(53, 167)(54, 172)(55, 164)(56, 192)(57, 166)(58, 171)(59, 168)(60, 191)(61, 177)(62, 176)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1943
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 1780>$ (small group id <128, 1780>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 18, 82, 33, 97, 31, 95, 16, 80, 5, 69)(3, 67, 8, 72, 19, 83, 34, 98, 48, 112, 43, 107, 27, 91, 12, 76)(4, 68, 14, 78, 29, 93, 45, 109, 49, 113, 35, 99, 20, 84, 9, 73)(6, 70, 17, 81, 32, 96, 47, 111, 50, 114, 36, 100, 21, 85, 10, 74)(11, 75, 25, 89, 41, 105, 55, 119, 59, 123, 51, 115, 37, 101, 22, 86)(13, 77, 28, 92, 44, 108, 57, 121, 60, 124, 52, 116, 38, 102, 23, 87)(15, 79, 24, 88, 39, 103, 53, 117, 61, 125, 58, 122, 46, 110, 30, 94)(26, 90, 40, 104, 54, 118, 62, 126, 64, 128, 63, 127, 56, 120, 42, 106)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 140, 204)(134, 198, 139, 203)(135, 199, 147, 211)(137, 201, 151, 215)(138, 202, 150, 214)(142, 206, 156, 220)(143, 207, 154, 218)(144, 208, 155, 219)(145, 209, 153, 217)(146, 210, 162, 226)(148, 212, 166, 230)(149, 213, 165, 229)(152, 216, 168, 232)(157, 221, 172, 236)(158, 222, 170, 234)(159, 223, 171, 235)(160, 224, 169, 233)(161, 225, 176, 240)(163, 227, 180, 244)(164, 228, 179, 243)(167, 231, 182, 246)(173, 237, 185, 249)(174, 238, 184, 248)(175, 239, 183, 247)(177, 241, 188, 252)(178, 242, 187, 251)(181, 245, 190, 254)(186, 250, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 139)(4, 143)(5, 142)(6, 129)(7, 148)(8, 150)(9, 152)(10, 130)(11, 154)(12, 153)(13, 131)(14, 158)(15, 134)(16, 157)(17, 133)(18, 163)(19, 165)(20, 167)(21, 135)(22, 168)(23, 136)(24, 138)(25, 170)(26, 141)(27, 169)(28, 140)(29, 174)(30, 145)(31, 173)(32, 144)(33, 177)(34, 179)(35, 181)(36, 146)(37, 182)(38, 147)(39, 149)(40, 151)(41, 184)(42, 156)(43, 183)(44, 155)(45, 186)(46, 160)(47, 159)(48, 187)(49, 189)(50, 161)(51, 190)(52, 162)(53, 164)(54, 166)(55, 191)(56, 172)(57, 171)(58, 175)(59, 192)(60, 176)(61, 178)(62, 180)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1944
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1948 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y1^-1 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 18, 82, 33, 97, 31, 95, 16, 80, 5, 69)(3, 67, 11, 75, 25, 89, 41, 105, 48, 112, 34, 98, 19, 83, 8, 72)(4, 68, 14, 78, 29, 93, 45, 109, 49, 113, 35, 99, 20, 84, 9, 73)(6, 70, 17, 81, 32, 96, 47, 111, 50, 114, 36, 100, 21, 85, 10, 74)(12, 76, 22, 86, 37, 101, 51, 115, 59, 123, 55, 119, 42, 106, 26, 90)(13, 77, 23, 87, 38, 102, 52, 116, 60, 124, 56, 120, 43, 107, 27, 91)(15, 79, 24, 88, 39, 103, 53, 117, 61, 125, 58, 122, 46, 110, 30, 94)(28, 92, 44, 108, 57, 121, 63, 127, 64, 128, 62, 126, 54, 118, 40, 104)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 151, 215)(138, 202, 150, 214)(142, 206, 155, 219)(143, 207, 156, 220)(144, 208, 153, 217)(145, 209, 154, 218)(146, 210, 162, 226)(148, 212, 166, 230)(149, 213, 165, 229)(152, 216, 168, 232)(157, 221, 171, 235)(158, 222, 172, 236)(159, 223, 169, 233)(160, 224, 170, 234)(161, 225, 176, 240)(163, 227, 180, 244)(164, 228, 179, 243)(167, 231, 182, 246)(173, 237, 184, 248)(174, 238, 185, 249)(175, 239, 183, 247)(177, 241, 188, 252)(178, 242, 187, 251)(181, 245, 190, 254)(186, 250, 191, 255)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 142)(6, 129)(7, 148)(8, 150)(9, 152)(10, 130)(11, 154)(12, 156)(13, 131)(14, 158)(15, 134)(16, 157)(17, 133)(18, 163)(19, 165)(20, 167)(21, 135)(22, 168)(23, 136)(24, 138)(25, 170)(26, 172)(27, 139)(28, 141)(29, 174)(30, 145)(31, 173)(32, 144)(33, 177)(34, 179)(35, 181)(36, 146)(37, 182)(38, 147)(39, 149)(40, 151)(41, 183)(42, 185)(43, 153)(44, 155)(45, 186)(46, 160)(47, 159)(48, 187)(49, 189)(50, 161)(51, 190)(52, 162)(53, 164)(54, 166)(55, 191)(56, 169)(57, 171)(58, 175)(59, 192)(60, 176)(61, 178)(62, 180)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1945
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1949 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2^-1 * Y3)^2, Y1^4, (Y1^-1 * Y3)^2, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 10, 74, 18, 82, 13, 77)(4, 68, 14, 78, 19, 83, 9, 73)(6, 70, 8, 72, 20, 84, 16, 80)(11, 75, 24, 88, 33, 97, 27, 91)(12, 76, 28, 92, 34, 98, 23, 87)(15, 79, 29, 93, 35, 99, 22, 86)(17, 81, 21, 85, 36, 100, 31, 95)(25, 89, 40, 104, 48, 112, 43, 107)(26, 90, 44, 108, 49, 113, 39, 103)(30, 94, 45, 109, 50, 114, 38, 102)(32, 96, 37, 101, 51, 115, 47, 111)(41, 105, 52, 116, 59, 123, 56, 120)(42, 106, 57, 121, 60, 124, 54, 118)(46, 110, 58, 122, 61, 125, 53, 117)(55, 119, 63, 127, 64, 128, 62, 126)(129, 193, 131, 195, 139, 203, 153, 217, 169, 233, 160, 224, 145, 209, 134, 198)(130, 194, 136, 200, 149, 213, 165, 229, 180, 244, 168, 232, 152, 216, 138, 202)(132, 196, 143, 207, 158, 222, 174, 238, 183, 247, 170, 234, 154, 218, 140, 204)(133, 197, 144, 208, 159, 223, 175, 239, 184, 248, 171, 235, 155, 219, 141, 205)(135, 199, 146, 210, 161, 225, 176, 240, 187, 251, 179, 243, 164, 228, 148, 212)(137, 201, 151, 215, 167, 231, 182, 246, 190, 254, 181, 245, 166, 230, 150, 214)(142, 206, 156, 220, 172, 236, 185, 249, 191, 255, 186, 250, 173, 237, 157, 221)(147, 211, 163, 227, 178, 242, 189, 253, 192, 256, 188, 252, 177, 241, 162, 226)
	L = (1, 132)(2, 137)(3, 140)(4, 129)(5, 142)(6, 143)(7, 147)(8, 150)(9, 130)(10, 151)(11, 154)(12, 131)(13, 156)(14, 133)(15, 134)(16, 157)(17, 158)(18, 162)(19, 135)(20, 163)(21, 166)(22, 136)(23, 138)(24, 167)(25, 170)(26, 139)(27, 172)(28, 141)(29, 144)(30, 145)(31, 173)(32, 174)(33, 177)(34, 146)(35, 148)(36, 178)(37, 181)(38, 149)(39, 152)(40, 182)(41, 183)(42, 153)(43, 185)(44, 155)(45, 159)(46, 160)(47, 186)(48, 188)(49, 161)(50, 164)(51, 189)(52, 190)(53, 165)(54, 168)(55, 169)(56, 191)(57, 171)(58, 175)(59, 192)(60, 176)(61, 179)(62, 180)(63, 184)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1942
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1950 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y3^2 * Y1 * Y3^-2 * Y1, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^4, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 18, 82)(7, 71, 21, 85)(8, 72, 24, 88)(10, 74, 30, 94)(11, 75, 32, 96)(13, 77, 29, 93)(14, 78, 23, 87)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 39, 103)(20, 84, 41, 105)(22, 86, 38, 102)(25, 89, 37, 101)(27, 91, 36, 100)(31, 95, 48, 112)(33, 97, 50, 114)(34, 98, 43, 107)(35, 99, 51, 115)(40, 104, 55, 119)(42, 106, 57, 121)(44, 108, 58, 122)(45, 109, 56, 120)(46, 110, 54, 118)(47, 111, 53, 117)(49, 113, 52, 116)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 150, 214)(136, 200, 153, 217)(137, 201, 155, 219)(138, 202, 152, 216)(139, 203, 149, 213)(140, 204, 148, 212)(142, 206, 161, 225)(143, 207, 147, 211)(145, 209, 159, 223)(146, 210, 164, 228)(151, 215, 170, 234)(154, 218, 168, 232)(156, 220, 175, 239)(157, 221, 177, 241)(158, 222, 174, 238)(160, 224, 173, 237)(162, 226, 172, 236)(163, 227, 171, 235)(165, 229, 182, 246)(166, 230, 184, 248)(167, 231, 181, 245)(169, 233, 180, 244)(176, 240, 188, 252)(178, 242, 187, 251)(179, 243, 189, 253)(183, 247, 191, 255)(185, 249, 190, 254)(186, 250, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 147)(7, 151)(8, 130)(9, 156)(10, 159)(11, 131)(12, 154)(13, 163)(14, 152)(15, 162)(16, 161)(17, 133)(18, 165)(19, 168)(20, 134)(21, 145)(22, 172)(23, 143)(24, 171)(25, 170)(26, 136)(27, 173)(28, 176)(29, 137)(30, 178)(31, 141)(32, 179)(33, 139)(34, 140)(35, 144)(36, 180)(37, 183)(38, 146)(39, 185)(40, 150)(41, 186)(42, 148)(43, 149)(44, 153)(45, 187)(46, 155)(47, 189)(48, 160)(49, 188)(50, 157)(51, 158)(52, 190)(53, 164)(54, 192)(55, 169)(56, 191)(57, 166)(58, 167)(59, 175)(60, 174)(61, 177)(62, 182)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1960
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1951 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y2 * R * Y2 * Y1)^2, (Y1 * Y2)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y2 * Y3^-1)^4, Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 26, 90)(11, 75, 29, 93)(13, 77, 33, 97)(14, 78, 22, 86)(16, 80, 35, 99)(18, 82, 37, 101)(19, 83, 40, 104)(21, 85, 44, 108)(24, 88, 46, 110)(25, 89, 36, 100)(27, 91, 49, 113)(28, 92, 45, 109)(30, 94, 51, 115)(31, 95, 43, 107)(32, 96, 42, 106)(34, 98, 39, 103)(38, 102, 56, 120)(41, 105, 58, 122)(47, 111, 60, 124)(48, 112, 59, 123)(50, 114, 57, 121)(52, 116, 55, 119)(53, 117, 54, 118)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 155, 219)(139, 203, 158, 222)(140, 204, 157, 221)(142, 206, 156, 220)(143, 207, 154, 218)(145, 209, 164, 228)(146, 210, 166, 230)(147, 211, 169, 233)(148, 212, 168, 232)(150, 214, 167, 231)(151, 215, 165, 229)(159, 223, 180, 244)(160, 224, 181, 245)(161, 225, 179, 243)(162, 226, 178, 242)(163, 227, 177, 241)(170, 234, 187, 251)(171, 235, 188, 252)(172, 236, 186, 250)(173, 237, 185, 249)(174, 238, 184, 248)(175, 239, 189, 253)(176, 240, 190, 254)(182, 246, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 152)(10, 156)(11, 131)(12, 159)(13, 145)(14, 133)(15, 160)(16, 162)(17, 144)(18, 167)(19, 134)(20, 170)(21, 137)(22, 136)(23, 171)(24, 173)(25, 169)(26, 175)(27, 164)(28, 139)(29, 176)(30, 178)(31, 143)(32, 140)(33, 181)(34, 141)(35, 180)(36, 158)(37, 182)(38, 153)(39, 147)(40, 183)(41, 185)(42, 151)(43, 148)(44, 188)(45, 149)(46, 187)(47, 157)(48, 154)(49, 190)(50, 155)(51, 189)(52, 161)(53, 163)(54, 168)(55, 165)(56, 192)(57, 166)(58, 191)(59, 172)(60, 174)(61, 177)(62, 179)(63, 184)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1961
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1952 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 2004>$ (small group id <128, 2004>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1, (Y2^2 * Y3^2)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-3 * Y3 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 31, 95)(14, 78, 32, 96)(15, 79, 29, 93)(16, 80, 28, 92)(17, 81, 27, 91)(19, 83, 25, 89)(20, 84, 26, 90)(21, 85, 34, 98)(22, 86, 33, 97)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 53, 117)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 156, 220, 146, 210, 163, 227)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 158, 222, 174, 238, 151, 215)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 187, 251, 172, 236, 185, 249)(171, 235, 188, 252, 173, 237, 186, 250)(181, 245, 191, 255, 183, 247, 189, 253)(182, 246, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 160)(12, 164)(13, 158)(14, 131)(15, 170)(16, 134)(17, 172)(18, 154)(19, 151)(20, 133)(21, 171)(22, 173)(23, 148)(24, 175)(25, 146)(26, 135)(27, 181)(28, 138)(29, 183)(30, 142)(31, 139)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1959
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 1926>$ (small group id <128, 1926>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (Y1 * Y3)^2, (R * Y3)^2, Y3^4, Y2^4, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2, Y2^-1 * R * Y2 * Y1 * Y2 * R * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y3^-2 * Y2^-2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 29, 93)(14, 78, 34, 98)(15, 79, 31, 95)(16, 80, 28, 92)(17, 81, 25, 89)(19, 83, 27, 91)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(35, 99, 48, 112)(36, 100, 47, 111)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 55, 119)(40, 104, 58, 122)(41, 105, 54, 118)(42, 106, 53, 117)(43, 107, 51, 115)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 189, 253, 174, 238, 188, 252)(184, 248, 192, 256, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 162)(12, 165)(13, 168)(14, 131)(15, 158)(16, 134)(17, 151)(18, 161)(19, 173)(20, 133)(21, 172)(22, 174)(23, 150)(24, 177)(25, 180)(26, 135)(27, 146)(28, 138)(29, 139)(30, 149)(31, 185)(32, 137)(33, 184)(34, 186)(35, 182)(36, 183)(37, 187)(38, 140)(39, 175)(40, 142)(41, 176)(42, 188)(43, 189)(44, 143)(45, 148)(46, 145)(47, 170)(48, 171)(49, 190)(50, 152)(51, 163)(52, 154)(53, 164)(54, 191)(55, 192)(56, 155)(57, 160)(58, 157)(59, 166)(60, 167)(61, 169)(62, 178)(63, 179)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1957
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1954 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 1787>$ (small group id <128, 1787>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^2 * Y3^-1, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-2)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 45, 109)(27, 91, 48, 112)(29, 93, 49, 113)(30, 94, 50, 114)(32, 96, 52, 116)(33, 97, 51, 115)(35, 99, 53, 117)(37, 101, 56, 120)(39, 103, 57, 121)(40, 104, 58, 122)(42, 106, 60, 124)(43, 107, 59, 123)(46, 110, 55, 119)(47, 111, 54, 118)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 174, 238, 156, 220, 175, 239)(159, 223, 178, 242, 162, 226, 177, 241)(160, 224, 173, 237, 161, 225, 176, 240)(164, 228, 182, 246, 166, 230, 183, 247)(169, 233, 186, 250, 172, 236, 185, 249)(170, 234, 181, 245, 171, 235, 184, 248)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 168)(26, 145)(27, 167)(28, 139)(29, 163)(30, 165)(31, 179)(32, 144)(33, 143)(34, 180)(35, 158)(36, 152)(37, 157)(38, 146)(39, 153)(40, 155)(41, 187)(42, 151)(43, 150)(44, 188)(45, 185)(46, 189)(47, 190)(48, 186)(49, 184)(50, 181)(51, 162)(52, 159)(53, 177)(54, 191)(55, 192)(56, 178)(57, 176)(58, 173)(59, 172)(60, 169)(61, 175)(62, 174)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1956
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1955 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 1997>$ (small group id <128, 1997>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y1 * Y2)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 35, 99)(27, 91, 37, 101)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 62, 126)(43, 107, 61, 125)(45, 109, 56, 120)(46, 110, 55, 119)(47, 111, 58, 122)(48, 112, 57, 121)(49, 113, 59, 123)(50, 114, 60, 124)(53, 117, 63, 127)(54, 118, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 174, 238, 162, 226, 173, 237)(160, 224, 181, 245, 161, 225, 182, 246)(164, 228, 185, 249, 166, 230, 186, 250)(169, 233, 184, 248, 172, 236, 183, 247)(170, 234, 191, 255, 171, 235, 192, 256)(177, 241, 190, 254, 178, 242, 189, 253)(179, 243, 187, 251, 180, 244, 188, 252)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 183)(36, 152)(37, 184)(38, 146)(39, 187)(40, 188)(41, 189)(42, 151)(43, 150)(44, 190)(45, 155)(46, 153)(47, 192)(48, 191)(49, 158)(50, 157)(51, 162)(52, 159)(53, 185)(54, 186)(55, 165)(56, 163)(57, 182)(58, 181)(59, 168)(60, 167)(61, 172)(62, 169)(63, 175)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1958
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 1787>$ (small group id <128, 1787>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y1)^2, Y3^4, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 40, 104, 29, 93, 18, 82, 5, 69)(3, 67, 11, 75, 21, 85, 17, 81, 26, 90, 8, 72, 24, 88, 13, 77)(4, 68, 15, 79, 35, 99, 51, 115, 57, 121, 41, 105, 22, 86, 9, 73)(6, 70, 19, 83, 39, 103, 52, 116, 58, 122, 42, 106, 23, 87, 10, 74)(12, 76, 32, 96, 46, 110, 25, 89, 48, 112, 38, 102, 43, 107, 30, 94)(14, 78, 34, 98, 47, 111, 27, 91, 50, 114, 36, 100, 44, 108, 31, 95)(16, 80, 28, 92, 45, 109, 59, 123, 64, 128, 63, 127, 55, 119, 37, 101)(33, 97, 53, 117, 60, 124, 56, 120, 62, 126, 49, 113, 61, 125, 54, 118)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 157, 221)(141, 205, 148, 212)(143, 207, 164, 228)(144, 208, 161, 225)(146, 210, 152, 216)(147, 211, 166, 230)(150, 214, 172, 236)(151, 215, 171, 235)(154, 218, 168, 232)(156, 220, 177, 241)(158, 222, 180, 244)(159, 223, 179, 243)(160, 224, 170, 234)(162, 226, 169, 233)(163, 227, 175, 239)(165, 229, 184, 248)(167, 231, 174, 238)(173, 237, 188, 252)(176, 240, 186, 250)(178, 242, 185, 249)(181, 245, 191, 255)(182, 246, 187, 251)(183, 247, 189, 253)(190, 254, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 158)(12, 161)(13, 160)(14, 131)(15, 165)(16, 134)(17, 166)(18, 163)(19, 133)(20, 169)(21, 171)(22, 173)(23, 135)(24, 174)(25, 177)(26, 176)(27, 136)(28, 138)(29, 179)(30, 181)(31, 139)(32, 182)(33, 142)(34, 141)(35, 183)(36, 145)(37, 147)(38, 184)(39, 146)(40, 185)(41, 187)(42, 148)(43, 188)(44, 149)(45, 151)(46, 189)(47, 152)(48, 190)(49, 155)(50, 154)(51, 191)(52, 157)(53, 159)(54, 162)(55, 167)(56, 164)(57, 192)(58, 168)(59, 170)(60, 172)(61, 175)(62, 178)(63, 180)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1954
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 1926>$ (small group id <128, 1926>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 48, 112, 37, 101, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 18, 82, 30, 94, 8, 72, 28, 92, 13, 77)(4, 68, 15, 79, 36, 100, 10, 74, 35, 99, 21, 85, 26, 90, 17, 81)(6, 70, 22, 86, 34, 98, 9, 73, 32, 96, 19, 83, 27, 91, 23, 87)(12, 76, 40, 104, 52, 116, 39, 103, 55, 119, 43, 107, 49, 113, 31, 95)(14, 78, 44, 108, 53, 117, 38, 102, 56, 120, 42, 106, 50, 114, 29, 93)(16, 80, 33, 97, 51, 115, 45, 109, 57, 121, 47, 111, 58, 122, 46, 110)(41, 105, 59, 123, 62, 126, 60, 124, 64, 128, 54, 118, 63, 127, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 152, 216)(143, 207, 170, 234)(144, 208, 169, 233)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 156, 220)(149, 213, 172, 236)(150, 214, 171, 235)(151, 215, 167, 231)(154, 218, 178, 242)(155, 219, 177, 241)(158, 222, 176, 240)(160, 224, 183, 247)(161, 225, 182, 246)(162, 226, 180, 244)(163, 227, 184, 248)(164, 228, 181, 245)(173, 237, 189, 253)(174, 238, 188, 252)(175, 239, 187, 251)(179, 243, 190, 254)(185, 249, 192, 256)(186, 250, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 169)(13, 170)(14, 131)(15, 152)(16, 134)(17, 165)(18, 172)(19, 174)(20, 164)(21, 133)(22, 173)(23, 175)(24, 150)(25, 177)(26, 179)(27, 135)(28, 180)(29, 182)(30, 183)(31, 136)(32, 176)(33, 138)(34, 148)(35, 185)(36, 186)(37, 151)(38, 187)(39, 139)(40, 146)(41, 142)(42, 189)(43, 141)(44, 188)(45, 143)(46, 149)(47, 145)(48, 163)(49, 190)(50, 153)(51, 155)(52, 191)(53, 156)(54, 159)(55, 192)(56, 158)(57, 160)(58, 162)(59, 167)(60, 168)(61, 171)(62, 178)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1953
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 1997>$ (small group id <128, 1997>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, (Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 40, 104, 33, 97, 18, 82, 5, 69)(3, 67, 11, 75, 26, 90, 8, 72, 24, 88, 17, 81, 21, 85, 13, 77)(4, 68, 15, 79, 35, 99, 54, 118, 57, 121, 41, 105, 22, 86, 9, 73)(6, 70, 19, 83, 39, 103, 52, 116, 58, 122, 42, 106, 23, 87, 10, 74)(12, 76, 31, 95, 43, 107, 38, 102, 46, 110, 25, 89, 48, 112, 29, 93)(14, 78, 34, 98, 44, 108, 36, 100, 47, 111, 27, 91, 50, 114, 30, 94)(16, 80, 28, 92, 45, 109, 59, 123, 64, 128, 63, 127, 55, 119, 37, 101)(32, 96, 51, 115, 62, 126, 49, 113, 61, 125, 56, 120, 60, 124, 53, 117)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 148, 212)(141, 205, 161, 225)(143, 207, 164, 228)(144, 208, 160, 224)(146, 210, 154, 218)(147, 211, 166, 230)(150, 214, 172, 236)(151, 215, 171, 235)(152, 216, 168, 232)(156, 220, 177, 241)(157, 221, 170, 234)(158, 222, 169, 233)(159, 223, 180, 244)(162, 226, 182, 246)(163, 227, 178, 242)(165, 229, 184, 248)(167, 231, 176, 240)(173, 237, 188, 252)(174, 238, 186, 250)(175, 239, 185, 249)(179, 243, 187, 251)(181, 245, 191, 255)(183, 247, 190, 254)(189, 253, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 157)(12, 160)(13, 159)(14, 131)(15, 165)(16, 134)(17, 166)(18, 163)(19, 133)(20, 169)(21, 171)(22, 173)(23, 135)(24, 174)(25, 177)(26, 176)(27, 136)(28, 138)(29, 179)(30, 139)(31, 181)(32, 142)(33, 182)(34, 141)(35, 183)(36, 145)(37, 147)(38, 184)(39, 146)(40, 185)(41, 187)(42, 148)(43, 188)(44, 149)(45, 151)(46, 189)(47, 152)(48, 190)(49, 155)(50, 154)(51, 158)(52, 161)(53, 162)(54, 191)(55, 167)(56, 164)(57, 192)(58, 168)(59, 170)(60, 172)(61, 175)(62, 178)(63, 180)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1955
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 2004>$ (small group id <128, 2004>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y2 * R * Y3^-2 * Y2 * R, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 49, 113, 46, 110, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 61, 125, 63, 127, 52, 116, 25, 89, 13, 77)(4, 68, 15, 79, 36, 100, 10, 74, 35, 99, 21, 85, 26, 90, 17, 81)(6, 70, 22, 86, 34, 98, 9, 73, 32, 96, 19, 83, 27, 91, 23, 87)(8, 72, 28, 92, 18, 82, 48, 112, 62, 126, 64, 128, 50, 114, 30, 94)(12, 76, 41, 105, 51, 115, 40, 104, 56, 120, 29, 93, 55, 119, 42, 106)(14, 78, 43, 107, 53, 117, 39, 103, 58, 122, 31, 95, 57, 121, 44, 108)(16, 80, 33, 97, 54, 118, 45, 109, 59, 123, 47, 111, 60, 124, 38, 102)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 161, 225)(143, 207, 170, 234)(144, 208, 156, 220)(145, 209, 169, 233)(147, 211, 167, 231)(148, 212, 165, 229)(149, 213, 168, 232)(150, 214, 172, 236)(151, 215, 171, 235)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 179, 243)(158, 222, 182, 246)(160, 224, 184, 248)(162, 226, 183, 247)(163, 227, 186, 250)(164, 228, 185, 249)(173, 237, 180, 244)(174, 238, 190, 254)(175, 239, 189, 253)(176, 240, 188, 252)(177, 241, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 156)(13, 159)(14, 131)(15, 152)(16, 134)(17, 174)(18, 168)(19, 166)(20, 164)(21, 133)(22, 173)(23, 175)(24, 150)(25, 179)(26, 182)(27, 135)(28, 142)(29, 141)(30, 181)(31, 136)(32, 177)(33, 138)(34, 148)(35, 187)(36, 188)(37, 183)(38, 149)(39, 146)(40, 139)(41, 189)(42, 180)(43, 190)(44, 178)(45, 143)(46, 151)(47, 145)(48, 185)(49, 163)(50, 170)(51, 158)(52, 172)(53, 153)(54, 155)(55, 176)(56, 192)(57, 165)(58, 191)(59, 160)(60, 162)(61, 171)(62, 169)(63, 184)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1952
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^-2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y3 * Y1^-2, Y3^-2 * Y1^2 * Y2^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y3^-2 * Y1^-1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 27, 91, 16, 80)(4, 68, 18, 82, 28, 92, 12, 76)(6, 70, 24, 88, 29, 93, 26, 90)(7, 71, 22, 86, 30, 94, 10, 74)(9, 73, 31, 95, 21, 85, 34, 98)(11, 75, 38, 102, 23, 87, 40, 104)(14, 78, 37, 101, 20, 84, 32, 96)(15, 79, 45, 109, 19, 83, 44, 108)(17, 81, 47, 111, 25, 89, 42, 106)(33, 97, 53, 117, 36, 100, 52, 116)(35, 99, 55, 119, 39, 103, 50, 114)(41, 105, 49, 113, 46, 110, 54, 118)(43, 107, 56, 120, 48, 112, 51, 115)(57, 121, 64, 128, 59, 123, 62, 126)(58, 122, 63, 127, 60, 124, 61, 125)(129, 193, 131, 195, 142, 206, 157, 221, 136, 200, 155, 219, 148, 212, 134, 198)(130, 194, 137, 201, 160, 224, 151, 215, 133, 197, 149, 213, 165, 229, 139, 203)(132, 196, 147, 211, 135, 199, 153, 217, 156, 220, 143, 207, 158, 222, 145, 209)(138, 202, 164, 228, 140, 204, 167, 231, 150, 214, 161, 225, 146, 210, 163, 227)(141, 205, 169, 233, 152, 216, 176, 240, 144, 208, 174, 238, 154, 218, 171, 235)(159, 223, 177, 241, 166, 230, 184, 248, 162, 226, 182, 246, 168, 232, 179, 243)(170, 234, 187, 251, 172, 236, 188, 252, 175, 239, 185, 249, 173, 237, 186, 250)(178, 242, 191, 255, 180, 244, 192, 256, 183, 247, 189, 253, 181, 245, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 156)(9, 161)(10, 165)(11, 167)(12, 130)(13, 170)(14, 135)(15, 134)(16, 175)(17, 131)(18, 133)(19, 157)(20, 158)(21, 164)(22, 160)(23, 163)(24, 172)(25, 155)(26, 173)(27, 147)(28, 142)(29, 145)(30, 136)(31, 178)(32, 140)(33, 139)(34, 183)(35, 137)(36, 151)(37, 146)(38, 180)(39, 149)(40, 181)(41, 185)(42, 154)(43, 188)(44, 141)(45, 144)(46, 187)(47, 152)(48, 186)(49, 189)(50, 168)(51, 192)(52, 159)(53, 162)(54, 191)(55, 166)(56, 190)(57, 171)(58, 169)(59, 176)(60, 174)(61, 179)(62, 177)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1950
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y3^-2 * Y2^4, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 11, 75, 24, 88, 15, 79)(4, 68, 17, 81, 25, 89, 12, 76)(6, 70, 9, 73, 26, 90, 20, 84)(7, 71, 21, 85, 27, 91, 10, 74)(13, 77, 34, 98, 46, 110, 37, 101)(14, 78, 39, 103, 47, 111, 31, 95)(16, 80, 41, 105, 48, 112, 33, 97)(18, 82, 42, 106, 49, 113, 29, 93)(19, 83, 32, 96, 50, 114, 43, 107)(22, 86, 45, 109, 51, 115, 30, 94)(23, 87, 28, 92, 52, 116, 44, 108)(35, 99, 56, 120, 61, 125, 57, 121)(36, 100, 58, 122, 62, 126, 54, 118)(38, 102, 59, 123, 63, 127, 55, 119)(40, 104, 53, 117, 64, 128, 60, 124)(129, 193, 131, 195, 141, 205, 163, 227, 147, 211, 168, 232, 151, 215, 134, 198)(130, 194, 137, 201, 156, 220, 181, 245, 160, 224, 184, 248, 162, 226, 139, 203)(132, 196, 146, 210, 166, 230, 142, 206, 135, 199, 150, 214, 164, 228, 144, 208)(133, 197, 148, 212, 172, 236, 188, 252, 171, 235, 185, 249, 165, 229, 143, 207)(136, 200, 152, 216, 174, 238, 189, 253, 178, 242, 192, 256, 180, 244, 154, 218)(138, 202, 159, 223, 183, 247, 157, 221, 140, 204, 161, 225, 182, 246, 158, 222)(145, 209, 169, 233, 186, 250, 173, 237, 149, 213, 167, 231, 187, 251, 170, 234)(153, 217, 177, 241, 191, 255, 175, 239, 155, 219, 179, 243, 190, 254, 176, 240)
	L = (1, 132)(2, 138)(3, 142)(4, 147)(5, 149)(6, 150)(7, 129)(8, 153)(9, 157)(10, 160)(11, 161)(12, 130)(13, 164)(14, 168)(15, 169)(16, 131)(17, 133)(18, 134)(19, 135)(20, 170)(21, 171)(22, 163)(23, 166)(24, 175)(25, 178)(26, 179)(27, 136)(28, 182)(29, 184)(30, 137)(31, 139)(32, 140)(33, 181)(34, 183)(35, 146)(36, 151)(37, 187)(38, 141)(39, 143)(40, 144)(41, 188)(42, 185)(43, 145)(44, 186)(45, 148)(46, 190)(47, 192)(48, 152)(49, 154)(50, 155)(51, 189)(52, 191)(53, 159)(54, 162)(55, 156)(56, 158)(57, 173)(58, 165)(59, 172)(60, 167)(61, 177)(62, 180)(63, 174)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1951
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1)^4, (R * Y2 * Y1 * Y2)^2, (Y3 * Y2)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 32, 96)(18, 82, 36, 100)(19, 83, 38, 102)(20, 84, 40, 104)(22, 86, 44, 108)(24, 88, 46, 110)(26, 90, 50, 114)(27, 91, 52, 116)(28, 92, 54, 118)(30, 94, 58, 122)(31, 95, 56, 120)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 57, 121)(37, 101, 51, 115)(39, 103, 55, 119)(41, 105, 53, 117)(42, 106, 45, 109)(43, 107, 49, 113)(59, 123, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 161, 225)(145, 209, 162, 226)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 165, 229)(152, 216, 175, 239)(153, 217, 176, 240)(156, 220, 183, 247)(157, 221, 184, 248)(158, 222, 179, 243)(159, 223, 180, 244)(160, 224, 178, 242)(163, 227, 188, 252)(164, 228, 174, 238)(166, 230, 173, 237)(167, 231, 189, 253)(168, 232, 185, 249)(171, 235, 182, 246)(172, 236, 187, 251)(177, 241, 191, 255)(181, 245, 192, 256)(186, 250, 190, 254)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 159)(16, 135)(17, 163)(18, 165)(19, 167)(20, 137)(21, 171)(22, 138)(23, 173)(24, 139)(25, 177)(26, 179)(27, 181)(28, 141)(29, 185)(30, 142)(31, 143)(32, 183)(33, 187)(34, 182)(35, 145)(36, 189)(37, 146)(38, 186)(39, 147)(40, 176)(41, 174)(42, 188)(43, 149)(44, 180)(45, 151)(46, 169)(47, 190)(48, 168)(49, 153)(50, 192)(51, 154)(52, 172)(53, 155)(54, 162)(55, 160)(56, 191)(57, 157)(58, 166)(59, 161)(60, 170)(61, 164)(62, 175)(63, 184)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1969
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^4 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 37, 101)(16, 80, 28, 92)(18, 82, 38, 102)(19, 83, 25, 89)(22, 86, 42, 106)(23, 87, 40, 104)(24, 88, 47, 111)(27, 91, 48, 112)(29, 93, 39, 103)(31, 95, 41, 105)(33, 97, 44, 108)(34, 98, 43, 107)(35, 99, 54, 118)(36, 100, 52, 116)(45, 109, 60, 124)(46, 110, 58, 122)(49, 113, 56, 120)(50, 114, 55, 119)(51, 115, 59, 123)(53, 117, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 143, 207, 161, 225, 141, 205)(134, 198, 146, 210, 162, 226, 142, 206)(136, 200, 152, 216, 171, 235, 150, 214)(138, 202, 155, 219, 172, 236, 151, 215)(139, 203, 157, 221, 145, 209, 159, 223)(144, 208, 163, 227, 147, 211, 164, 228)(148, 212, 167, 231, 154, 218, 169, 233)(153, 217, 173, 237, 156, 220, 174, 238)(158, 222, 179, 243, 166, 230, 177, 241)(160, 224, 181, 245, 165, 229, 178, 242)(168, 232, 185, 249, 176, 240, 183, 247)(170, 234, 187, 251, 175, 239, 184, 248)(180, 244, 189, 253, 182, 246, 190, 254)(186, 250, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 152)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 164)(16, 162)(17, 166)(18, 133)(19, 134)(20, 168)(21, 171)(22, 173)(23, 135)(24, 174)(25, 172)(26, 176)(27, 137)(28, 138)(29, 177)(30, 180)(31, 179)(32, 139)(33, 147)(34, 140)(35, 146)(36, 142)(37, 145)(38, 182)(39, 183)(40, 186)(41, 185)(42, 148)(43, 156)(44, 149)(45, 155)(46, 151)(47, 154)(48, 188)(49, 189)(50, 157)(51, 190)(52, 165)(53, 159)(54, 160)(55, 191)(56, 167)(57, 192)(58, 175)(59, 169)(60, 170)(61, 181)(62, 178)(63, 187)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1966
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1784>$ (small group id <128, 1784>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y1 * Y3^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2^-2 * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 34, 98)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 33, 97)(20, 84, 27, 91)(21, 85, 31, 95)(22, 86, 25, 89)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 53, 117)(40, 104, 58, 122)(41, 105, 51, 115)(42, 106, 55, 119)(43, 107, 54, 118)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 187, 251, 174, 238, 188, 252)(184, 248, 190, 254, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 155)(19, 173)(20, 133)(21, 158)(22, 151)(23, 145)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 143)(31, 185)(32, 137)(33, 146)(34, 139)(35, 182)(36, 183)(37, 189)(38, 140)(39, 175)(40, 142)(41, 176)(42, 188)(43, 187)(44, 149)(45, 148)(46, 150)(47, 170)(48, 171)(49, 192)(50, 152)(51, 163)(52, 154)(53, 164)(54, 191)(55, 190)(56, 161)(57, 160)(58, 162)(59, 169)(60, 167)(61, 166)(62, 181)(63, 179)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1967
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 2006>$ (small group id <128, 2006>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 28, 92)(13, 77, 27, 91)(14, 78, 30, 94)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 23, 87)(18, 82, 22, 86)(19, 83, 26, 90)(20, 84, 24, 88)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 52, 116)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 46, 110)(41, 105, 50, 114)(42, 106, 51, 115)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 187, 251, 169, 233, 185, 249)(167, 231, 186, 250, 170, 234, 184, 248)(178, 242, 192, 256, 181, 245, 190, 254)(179, 243, 191, 255, 182, 246, 189, 253)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1968
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^2 * Y1, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y1^2 * Y2 * Y3 * Y1^-1, Y3^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 38, 102, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 49, 113, 56, 120, 41, 105, 20, 84, 13, 77)(4, 68, 15, 79, 6, 70, 18, 82, 21, 85, 9, 73, 26, 90, 10, 74)(8, 72, 22, 86, 17, 81, 36, 100, 55, 119, 57, 121, 39, 103, 24, 88)(12, 76, 31, 95, 14, 78, 33, 97, 48, 112, 29, 93, 40, 104, 30, 94)(23, 87, 45, 109, 25, 89, 47, 111, 37, 101, 43, 107, 34, 98, 44, 108)(28, 92, 42, 106, 32, 96, 46, 110, 58, 122, 64, 128, 63, 127, 51, 115)(50, 114, 62, 126, 52, 116, 61, 125, 54, 118, 59, 123, 53, 117, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 156, 220)(141, 205, 160, 224)(143, 207, 162, 226)(144, 208, 155, 219)(146, 210, 165, 229)(147, 211, 167, 231)(149, 213, 168, 232)(150, 214, 170, 234)(152, 216, 174, 238)(154, 218, 176, 240)(157, 221, 180, 244)(158, 222, 178, 242)(159, 223, 181, 245)(161, 225, 182, 246)(163, 227, 183, 247)(164, 228, 179, 243)(166, 230, 184, 248)(169, 233, 186, 250)(171, 235, 188, 252)(172, 236, 187, 251)(173, 237, 189, 253)(175, 239, 190, 254)(177, 241, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 134)(8, 151)(9, 133)(10, 130)(11, 157)(12, 148)(13, 161)(14, 131)(15, 147)(16, 154)(17, 153)(18, 163)(19, 138)(20, 168)(21, 135)(22, 171)(23, 167)(24, 175)(25, 136)(26, 166)(27, 142)(28, 178)(29, 141)(30, 139)(31, 177)(32, 180)(33, 169)(34, 183)(35, 143)(36, 172)(37, 145)(38, 149)(39, 162)(40, 184)(41, 159)(42, 187)(43, 152)(44, 150)(45, 164)(46, 188)(47, 185)(48, 155)(49, 158)(50, 191)(51, 189)(52, 156)(53, 186)(54, 160)(55, 165)(56, 176)(57, 173)(58, 182)(59, 179)(60, 170)(61, 192)(62, 174)(63, 181)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1963
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1784>$ (small group id <128, 1784>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^3 * Y2 * Y1 * Y2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3 * Y1^3 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, (Y3 * Y2 * Y1^-1)^2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 48, 112, 37, 101, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 18, 82, 30, 94, 8, 72, 28, 92, 13, 77)(4, 68, 15, 79, 34, 98, 9, 73, 32, 96, 19, 83, 26, 90, 17, 81)(6, 70, 22, 86, 36, 100, 10, 74, 35, 99, 21, 85, 27, 91, 23, 87)(12, 76, 40, 104, 52, 116, 38, 102, 55, 119, 42, 106, 49, 113, 29, 93)(14, 78, 44, 108, 53, 117, 39, 103, 56, 120, 43, 107, 50, 114, 31, 95)(16, 80, 33, 97, 51, 115, 45, 109, 57, 121, 47, 111, 58, 122, 46, 110)(41, 105, 59, 123, 62, 126, 60, 124, 64, 128, 54, 118, 63, 127, 61, 125)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 152, 216)(143, 207, 171, 235)(144, 208, 169, 233)(145, 209, 167, 231)(147, 211, 172, 236)(148, 212, 156, 220)(149, 213, 168, 232)(150, 214, 170, 234)(151, 215, 166, 230)(154, 218, 178, 242)(155, 219, 177, 241)(158, 222, 176, 240)(160, 224, 184, 248)(161, 225, 182, 246)(162, 226, 181, 245)(163, 227, 183, 247)(164, 228, 180, 244)(173, 237, 189, 253)(174, 238, 188, 252)(175, 239, 187, 251)(179, 243, 190, 254)(185, 249, 192, 256)(186, 250, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 169)(13, 170)(14, 131)(15, 173)(16, 134)(17, 175)(18, 168)(19, 174)(20, 162)(21, 133)(22, 152)(23, 165)(24, 143)(25, 177)(26, 179)(27, 135)(28, 180)(29, 182)(30, 183)(31, 136)(32, 185)(33, 138)(34, 186)(35, 176)(36, 148)(37, 145)(38, 187)(39, 139)(40, 188)(41, 142)(42, 189)(43, 141)(44, 146)(45, 150)(46, 149)(47, 151)(48, 160)(49, 190)(50, 153)(51, 155)(52, 191)(53, 156)(54, 159)(55, 192)(56, 158)(57, 163)(58, 164)(59, 167)(60, 172)(61, 171)(62, 178)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1964
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 2006>$ (small group id <128, 2006>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y1^-3, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 22, 86, 45, 109, 44, 108, 18, 82, 5, 69)(3, 67, 11, 75, 33, 97, 57, 121, 61, 125, 46, 110, 23, 87, 8, 72)(4, 68, 14, 78, 30, 94, 9, 73, 28, 92, 17, 81, 24, 88, 16, 80)(6, 70, 20, 84, 32, 96, 10, 74, 31, 95, 19, 83, 25, 89, 21, 85)(12, 76, 36, 100, 47, 111, 34, 98, 52, 116, 26, 90, 50, 114, 38, 102)(13, 77, 39, 103, 48, 112, 35, 99, 54, 118, 27, 91, 53, 117, 40, 104)(15, 79, 29, 93, 49, 113, 41, 105, 55, 119, 43, 107, 56, 120, 42, 106)(37, 101, 58, 122, 63, 127, 59, 123, 64, 128, 60, 124, 62, 126, 51, 115)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 151, 215)(137, 201, 155, 219)(138, 202, 154, 218)(142, 206, 168, 232)(143, 207, 165, 229)(144, 208, 167, 231)(145, 209, 163, 227)(146, 210, 161, 225)(147, 211, 162, 226)(148, 212, 166, 230)(149, 213, 164, 228)(150, 214, 174, 238)(152, 216, 176, 240)(153, 217, 175, 239)(156, 220, 182, 246)(157, 221, 179, 243)(158, 222, 181, 245)(159, 223, 180, 244)(160, 224, 178, 242)(169, 233, 188, 252)(170, 234, 186, 250)(171, 235, 187, 251)(172, 236, 185, 249)(173, 237, 189, 253)(177, 241, 190, 254)(183, 247, 192, 256)(184, 248, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 145)(6, 129)(7, 152)(8, 154)(9, 157)(10, 130)(11, 162)(12, 165)(13, 131)(14, 169)(15, 134)(16, 171)(17, 170)(18, 158)(19, 133)(20, 150)(21, 172)(22, 142)(23, 175)(24, 177)(25, 135)(26, 179)(27, 136)(28, 183)(29, 138)(30, 184)(31, 173)(32, 146)(33, 178)(34, 186)(35, 139)(36, 187)(37, 141)(38, 188)(39, 185)(40, 174)(41, 148)(42, 147)(43, 149)(44, 144)(45, 156)(46, 166)(47, 190)(48, 151)(49, 153)(50, 191)(51, 155)(52, 192)(53, 161)(54, 189)(55, 159)(56, 160)(57, 164)(58, 163)(59, 167)(60, 168)(61, 180)(62, 176)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1965
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y1^4, (Y1^-1 * Y3)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^3 * Y1^-1, Y2^3 * Y1 * Y2^-1 * Y1^-1, (Y1 * Y2 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 22, 86, 14, 78)(4, 68, 15, 79, 23, 87, 9, 73)(6, 70, 19, 83, 24, 88, 20, 84)(8, 72, 25, 89, 17, 81, 28, 92)(10, 74, 30, 94, 18, 82, 31, 95)(12, 76, 32, 96, 45, 109, 36, 100)(13, 77, 37, 101, 46, 110, 34, 98)(16, 80, 42, 106, 47, 111, 44, 108)(21, 85, 26, 90, 48, 112, 39, 103)(27, 91, 52, 116, 41, 105, 50, 114)(29, 93, 54, 118, 40, 104, 56, 120)(33, 97, 49, 113, 38, 102, 53, 117)(35, 99, 58, 122, 61, 125, 55, 119)(43, 107, 59, 123, 62, 126, 51, 115)(57, 121, 64, 128, 60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 156, 220, 181, 245, 159, 223, 149, 213, 134, 198)(130, 194, 136, 200, 154, 218, 139, 203, 161, 225, 147, 211, 160, 224, 138, 202)(132, 196, 144, 208, 171, 235, 182, 246, 192, 256, 180, 244, 163, 227, 141, 205)(133, 197, 145, 209, 167, 231, 142, 206, 166, 230, 148, 212, 164, 228, 146, 210)(135, 199, 150, 214, 173, 237, 153, 217, 177, 241, 158, 222, 176, 240, 152, 216)(137, 201, 157, 221, 183, 247, 172, 236, 185, 249, 162, 226, 179, 243, 155, 219)(143, 207, 168, 232, 186, 250, 170, 234, 188, 252, 165, 229, 187, 251, 169, 233)(151, 215, 175, 239, 190, 254, 184, 248, 191, 255, 178, 242, 189, 253, 174, 238)
	L = (1, 132)(2, 137)(3, 141)(4, 129)(5, 143)(6, 144)(7, 151)(8, 155)(9, 130)(10, 157)(11, 162)(12, 163)(13, 131)(14, 165)(15, 133)(16, 134)(17, 169)(18, 168)(19, 172)(20, 170)(21, 171)(22, 174)(23, 135)(24, 175)(25, 178)(26, 179)(27, 136)(28, 180)(29, 138)(30, 184)(31, 182)(32, 183)(33, 185)(34, 139)(35, 140)(36, 186)(37, 142)(38, 188)(39, 187)(40, 146)(41, 145)(42, 148)(43, 149)(44, 147)(45, 189)(46, 150)(47, 152)(48, 190)(49, 191)(50, 153)(51, 154)(52, 156)(53, 192)(54, 159)(55, 160)(56, 158)(57, 161)(58, 164)(59, 167)(60, 166)(61, 173)(62, 176)(63, 177)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1962
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^4, Y3^8, Y3^-1 * Y2 * Y1 * Y3^3 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 8, 72)(6, 70, 16, 80)(10, 74, 24, 88)(11, 75, 25, 89)(12, 76, 30, 94)(13, 77, 20, 84)(14, 78, 32, 96)(15, 79, 22, 86)(17, 81, 34, 98)(18, 82, 35, 99)(19, 83, 40, 104)(21, 85, 42, 106)(23, 87, 43, 107)(26, 90, 36, 100)(27, 91, 47, 111)(28, 92, 38, 102)(29, 93, 49, 113)(31, 95, 51, 115)(33, 97, 52, 116)(37, 101, 56, 120)(39, 103, 58, 122)(41, 105, 60, 124)(44, 108, 57, 121)(45, 109, 55, 119)(46, 110, 54, 118)(48, 112, 53, 117)(50, 114, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 140, 204)(133, 197, 142, 206)(135, 199, 147, 211)(136, 200, 149, 213)(137, 201, 151, 215)(138, 202, 154, 218)(139, 203, 156, 220)(141, 205, 157, 221)(143, 207, 155, 219)(144, 208, 161, 225)(145, 209, 164, 228)(146, 210, 166, 230)(148, 212, 167, 231)(150, 214, 165, 229)(152, 216, 174, 238)(153, 217, 176, 240)(158, 222, 172, 236)(159, 223, 178, 242)(160, 224, 173, 237)(162, 226, 183, 247)(163, 227, 185, 249)(168, 232, 181, 245)(169, 233, 187, 251)(170, 234, 182, 246)(171, 235, 188, 252)(175, 239, 190, 254)(177, 241, 189, 253)(179, 243, 180, 244)(184, 248, 192, 256)(186, 250, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 145)(7, 148)(8, 130)(9, 152)(10, 155)(11, 131)(12, 159)(13, 154)(14, 157)(15, 133)(16, 162)(17, 165)(18, 134)(19, 169)(20, 164)(21, 167)(22, 136)(23, 172)(24, 175)(25, 137)(26, 178)(27, 140)(28, 143)(29, 139)(30, 179)(31, 142)(32, 177)(33, 181)(34, 184)(35, 144)(36, 187)(37, 147)(38, 150)(39, 146)(40, 188)(41, 149)(42, 186)(43, 185)(44, 189)(45, 151)(46, 180)(47, 158)(48, 190)(49, 153)(50, 156)(51, 160)(52, 176)(53, 191)(54, 161)(55, 171)(56, 168)(57, 192)(58, 163)(59, 166)(60, 170)(61, 174)(62, 173)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1976
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2023>$ (small group id <128, 2023>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-3 * Y1, Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^4, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 18, 82)(7, 71, 21, 85)(8, 72, 24, 88)(10, 74, 30, 94)(11, 75, 32, 96)(13, 77, 29, 93)(14, 78, 23, 87)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 39, 103)(20, 84, 41, 105)(22, 86, 38, 102)(25, 89, 37, 101)(27, 91, 45, 109)(31, 95, 49, 113)(33, 97, 51, 115)(34, 98, 43, 107)(35, 99, 52, 116)(36, 100, 53, 117)(40, 104, 57, 121)(42, 106, 59, 123)(44, 108, 60, 124)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(50, 114, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 150, 214)(136, 200, 153, 217)(137, 201, 155, 219)(138, 202, 152, 216)(139, 203, 149, 213)(140, 204, 148, 212)(142, 206, 161, 225)(143, 207, 147, 211)(145, 209, 159, 223)(146, 210, 164, 228)(151, 215, 170, 234)(154, 218, 168, 232)(156, 220, 176, 240)(157, 221, 178, 242)(158, 222, 175, 239)(160, 224, 174, 238)(162, 226, 172, 236)(163, 227, 171, 235)(165, 229, 184, 248)(166, 230, 186, 250)(167, 231, 183, 247)(169, 233, 182, 246)(173, 237, 188, 252)(177, 241, 190, 254)(179, 243, 189, 253)(180, 244, 181, 245)(185, 249, 192, 256)(187, 251, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 147)(7, 151)(8, 130)(9, 156)(10, 159)(11, 131)(12, 154)(13, 163)(14, 152)(15, 162)(16, 161)(17, 133)(18, 165)(19, 168)(20, 134)(21, 145)(22, 172)(23, 143)(24, 171)(25, 170)(26, 136)(27, 174)(28, 177)(29, 137)(30, 179)(31, 141)(32, 180)(33, 139)(34, 140)(35, 144)(36, 182)(37, 185)(38, 146)(39, 187)(40, 150)(41, 188)(42, 148)(43, 149)(44, 153)(45, 186)(46, 189)(47, 155)(48, 181)(49, 160)(50, 190)(51, 157)(52, 158)(53, 178)(54, 191)(55, 164)(56, 173)(57, 169)(58, 192)(59, 166)(60, 167)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1977
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2022>$ (small group id <128, 2022>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^-3 * Y2^2 * Y3^-1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3^-2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^2 * Y2^-1 * Y3^2 * Y2, Y3^2 * Y2^-1 * Y3^-2 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * R * Y3^-1 * Y1 * Y3 * R * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 26, 90)(14, 78, 33, 97)(15, 79, 30, 94)(16, 80, 36, 100)(17, 81, 28, 92)(19, 83, 32, 96)(20, 84, 27, 91)(21, 85, 34, 98)(22, 86, 35, 99)(23, 87, 29, 93)(37, 101, 48, 112)(38, 102, 47, 111)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 54, 118)(46, 110, 53, 117)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(60, 124, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 156, 220, 175, 239, 158, 222)(138, 202, 162, 226, 176, 240, 163, 227)(139, 203, 157, 221, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 168, 232)(142, 206, 169, 233, 148, 212, 170, 234)(144, 208, 159, 223, 151, 215, 152, 216)(154, 218, 177, 241, 160, 224, 178, 242)(155, 219, 179, 243, 161, 225, 180, 244)(171, 235, 187, 251, 173, 237, 185, 249)(172, 236, 186, 250, 174, 238, 188, 252)(181, 245, 191, 255, 183, 247, 189, 253)(182, 246, 190, 254, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 161)(12, 165)(13, 152)(14, 131)(15, 171)(16, 166)(17, 173)(18, 155)(19, 159)(20, 133)(21, 174)(22, 172)(23, 134)(24, 148)(25, 175)(26, 139)(27, 135)(28, 181)(29, 176)(30, 183)(31, 142)(32, 146)(33, 137)(34, 184)(35, 182)(36, 138)(37, 151)(38, 140)(39, 185)(40, 187)(41, 188)(42, 186)(43, 149)(44, 143)(45, 150)(46, 145)(47, 164)(48, 153)(49, 189)(50, 191)(51, 192)(52, 190)(53, 162)(54, 156)(55, 163)(56, 158)(57, 169)(58, 167)(59, 170)(60, 168)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1974
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y3^2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1, (Y3^-1, Y2^-1)^2, Y2 * R * Y1 * Y3^-2 * R * Y2^-1 * Y1, (Y3 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 32, 96)(14, 78, 27, 91)(15, 79, 28, 92)(16, 80, 36, 100)(17, 81, 30, 94)(19, 83, 26, 90)(20, 84, 33, 97)(21, 85, 35, 99)(22, 86, 34, 98)(23, 87, 29, 93)(37, 101, 48, 112)(38, 102, 47, 111)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 54, 118)(44, 108, 53, 117)(45, 109, 56, 120)(46, 110, 55, 119)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(60, 124, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 156, 220, 175, 239, 158, 222)(138, 202, 162, 226, 176, 240, 163, 227)(139, 203, 164, 228, 146, 210, 157, 221)(141, 205, 167, 231, 147, 211, 168, 232)(142, 206, 169, 233, 148, 212, 170, 234)(144, 208, 152, 216, 151, 215, 159, 223)(154, 218, 177, 241, 160, 224, 178, 242)(155, 219, 179, 243, 161, 225, 180, 244)(171, 235, 187, 251, 173, 237, 185, 249)(172, 236, 186, 250, 174, 238, 188, 252)(181, 245, 191, 255, 183, 247, 189, 253)(182, 246, 190, 254, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 155)(12, 165)(13, 159)(14, 131)(15, 171)(16, 166)(17, 173)(18, 161)(19, 152)(20, 133)(21, 174)(22, 172)(23, 134)(24, 142)(25, 175)(26, 146)(27, 135)(28, 181)(29, 176)(30, 183)(31, 148)(32, 139)(33, 137)(34, 184)(35, 182)(36, 138)(37, 151)(38, 140)(39, 185)(40, 187)(41, 188)(42, 186)(43, 149)(44, 143)(45, 150)(46, 145)(47, 164)(48, 153)(49, 189)(50, 191)(51, 192)(52, 190)(53, 162)(54, 156)(55, 163)(56, 158)(57, 169)(58, 167)(59, 170)(60, 168)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1975
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2022>$ (small group id <128, 2022>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3 * Y1^2, Y2 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, Y3 * Y2 * R * Y2 * R * Y3, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y1 * Y3^2 * Y1^-1 * Y3^2, Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y2, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1^-3, (Y3^-2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 51, 115, 49, 113, 20, 84, 5, 69)(3, 67, 11, 75, 39, 103, 59, 123, 64, 128, 54, 118, 26, 90, 13, 77)(4, 68, 15, 79, 37, 101, 10, 74, 36, 100, 21, 85, 27, 91, 17, 81)(6, 70, 22, 86, 35, 99, 9, 73, 33, 97, 19, 83, 28, 92, 23, 87)(8, 72, 29, 93, 18, 82, 50, 114, 63, 127, 43, 107, 52, 116, 31, 95)(12, 76, 30, 94, 53, 117, 42, 106, 58, 122, 45, 109, 60, 124, 44, 108)(14, 78, 46, 110, 55, 119, 41, 105, 62, 126, 32, 96, 61, 125, 47, 111)(16, 80, 38, 102, 56, 120, 40, 104, 24, 88, 34, 98, 57, 121, 48, 112)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 168, 232)(141, 205, 162, 226)(143, 207, 170, 234)(144, 208, 157, 221)(145, 209, 173, 237)(147, 211, 169, 233)(148, 212, 167, 231)(149, 213, 172, 236)(150, 214, 175, 239)(151, 215, 174, 238)(152, 216, 171, 235)(153, 217, 180, 244)(155, 219, 183, 247)(156, 220, 181, 245)(159, 223, 184, 248)(161, 225, 186, 250)(163, 227, 188, 252)(164, 228, 190, 254)(165, 229, 189, 253)(166, 230, 187, 251)(176, 240, 182, 246)(177, 241, 191, 255)(178, 242, 185, 249)(179, 243, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 169)(12, 171)(13, 160)(14, 131)(15, 153)(16, 161)(17, 177)(18, 172)(19, 168)(20, 165)(21, 133)(22, 176)(23, 166)(24, 134)(25, 150)(26, 181)(27, 184)(28, 135)(29, 142)(30, 187)(31, 183)(32, 136)(33, 179)(34, 145)(35, 148)(36, 152)(37, 185)(38, 138)(39, 188)(40, 143)(41, 146)(42, 139)(43, 190)(44, 182)(45, 141)(46, 191)(47, 180)(48, 149)(49, 151)(50, 189)(51, 164)(52, 170)(53, 178)(54, 175)(55, 154)(56, 163)(57, 156)(58, 157)(59, 174)(60, 159)(61, 167)(62, 192)(63, 173)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1972
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^3 * Y3 * Y1^-1 * Y3, Y3^3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, (Y2 * Y1^-2)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y3, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 51, 115, 49, 113, 20, 84, 5, 69)(3, 67, 11, 75, 39, 103, 62, 126, 64, 128, 54, 118, 26, 90, 13, 77)(4, 68, 15, 79, 37, 101, 10, 74, 36, 100, 21, 85, 27, 91, 17, 81)(6, 70, 22, 86, 35, 99, 9, 73, 33, 97, 19, 83, 28, 92, 23, 87)(8, 72, 29, 93, 18, 82, 50, 114, 63, 127, 47, 111, 52, 116, 31, 95)(12, 76, 43, 107, 53, 117, 42, 106, 60, 124, 30, 94, 59, 123, 44, 108)(14, 78, 32, 96, 55, 119, 41, 105, 58, 122, 45, 109, 61, 125, 46, 110)(16, 80, 38, 102, 56, 120, 48, 112, 24, 88, 34, 98, 57, 121, 40, 104)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 168, 232)(141, 205, 166, 230)(143, 207, 172, 236)(144, 208, 175, 239)(145, 209, 171, 235)(147, 211, 174, 238)(148, 212, 167, 231)(149, 213, 170, 234)(150, 214, 169, 233)(151, 215, 173, 237)(152, 216, 157, 221)(153, 217, 180, 244)(155, 219, 183, 247)(156, 220, 181, 245)(159, 223, 185, 249)(161, 225, 188, 252)(162, 226, 190, 254)(163, 227, 187, 251)(164, 228, 186, 250)(165, 229, 189, 253)(176, 240, 182, 246)(177, 241, 191, 255)(178, 242, 184, 248)(179, 243, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 169)(12, 157)(13, 173)(14, 131)(15, 153)(16, 161)(17, 177)(18, 170)(19, 176)(20, 165)(21, 133)(22, 168)(23, 166)(24, 134)(25, 150)(26, 181)(27, 184)(28, 135)(29, 186)(30, 141)(31, 189)(32, 136)(33, 179)(34, 145)(35, 148)(36, 152)(37, 185)(38, 138)(39, 187)(40, 149)(41, 180)(42, 139)(43, 190)(44, 182)(45, 191)(46, 146)(47, 142)(48, 143)(49, 151)(50, 183)(51, 164)(52, 172)(53, 159)(54, 174)(55, 154)(56, 163)(57, 156)(58, 192)(59, 178)(60, 175)(61, 167)(62, 160)(63, 171)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1973
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), (Y2^-1 * Y3)^2, (R * Y3)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * R)^2, (Y3^-1 * Y1^-1)^2, Y2^-3 * Y1^-2 * Y2^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y3 * Y1^2 * Y2, Y1^-1 * Y3^-2 * Y1 * Y2^-2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 26, 90, 16, 80)(4, 68, 18, 82, 27, 91, 12, 76)(6, 70, 22, 86, 28, 92, 23, 87)(7, 71, 20, 84, 29, 93, 10, 74)(9, 73, 30, 94, 19, 83, 33, 97)(11, 75, 35, 99, 21, 85, 36, 100)(14, 78, 37, 101, 24, 88, 31, 95)(15, 79, 43, 107, 25, 89, 42, 106)(17, 81, 45, 109, 48, 112, 40, 104)(32, 96, 53, 117, 38, 102, 52, 116)(34, 98, 55, 119, 47, 111, 50, 114)(39, 103, 54, 118, 44, 108, 49, 113)(41, 105, 51, 115, 46, 110, 56, 120)(57, 121, 62, 126, 59, 123, 64, 128)(58, 122, 61, 125, 60, 124, 63, 127)(129, 193, 131, 195, 142, 206, 156, 220, 136, 200, 154, 218, 152, 216, 134, 198)(130, 194, 137, 201, 159, 223, 149, 213, 133, 197, 147, 211, 165, 229, 139, 203)(132, 196, 143, 207, 157, 221, 176, 240, 155, 219, 153, 217, 135, 199, 145, 209)(138, 202, 160, 224, 146, 210, 175, 239, 148, 212, 166, 230, 140, 204, 162, 226)(141, 205, 167, 231, 150, 214, 174, 238, 144, 208, 172, 236, 151, 215, 169, 233)(158, 222, 177, 241, 163, 227, 184, 248, 161, 225, 182, 246, 164, 228, 179, 243)(168, 232, 185, 249, 171, 235, 188, 252, 173, 237, 187, 251, 170, 234, 186, 250)(178, 242, 189, 253, 181, 245, 192, 256, 183, 247, 191, 255, 180, 244, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 148)(6, 145)(7, 129)(8, 155)(9, 160)(10, 159)(11, 162)(12, 130)(13, 168)(14, 157)(15, 156)(16, 173)(17, 131)(18, 133)(19, 166)(20, 165)(21, 175)(22, 171)(23, 170)(24, 135)(25, 134)(26, 153)(27, 152)(28, 176)(29, 136)(30, 178)(31, 146)(32, 149)(33, 183)(34, 137)(35, 181)(36, 180)(37, 140)(38, 139)(39, 185)(40, 150)(41, 186)(42, 141)(43, 144)(44, 187)(45, 151)(46, 188)(47, 147)(48, 154)(49, 189)(50, 163)(51, 190)(52, 158)(53, 161)(54, 191)(55, 164)(56, 192)(57, 174)(58, 167)(59, 169)(60, 172)(61, 184)(62, 177)(63, 179)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1970
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 152>)
Aut   = $<128, 2023>$ (small group id <128, 2023>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, Y3^-2 * Y2^-2, (R * Y3)^2, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1^2 * Y2, Y1^-1 * Y3^2 * Y2^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y2 * Y1 * Y2^-2 * Y1 * Y2, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 27, 91, 16, 80)(4, 68, 18, 82, 28, 92, 12, 76)(6, 70, 24, 88, 29, 93, 26, 90)(7, 71, 22, 86, 30, 94, 10, 74)(9, 73, 31, 95, 21, 85, 34, 98)(11, 75, 38, 102, 23, 87, 40, 104)(14, 78, 37, 101, 20, 84, 32, 96)(15, 79, 45, 109, 19, 83, 44, 108)(17, 81, 47, 111, 25, 89, 42, 106)(33, 97, 53, 117, 36, 100, 52, 116)(35, 99, 55, 119, 39, 103, 50, 114)(41, 105, 54, 118, 46, 110, 49, 113)(43, 107, 51, 115, 48, 112, 56, 120)(57, 121, 62, 126, 59, 123, 64, 128)(58, 122, 61, 125, 60, 124, 63, 127)(129, 193, 131, 195, 142, 206, 157, 221, 136, 200, 155, 219, 148, 212, 134, 198)(130, 194, 137, 201, 160, 224, 151, 215, 133, 197, 149, 213, 165, 229, 139, 203)(132, 196, 147, 211, 135, 199, 153, 217, 156, 220, 143, 207, 158, 222, 145, 209)(138, 202, 164, 228, 140, 204, 167, 231, 150, 214, 161, 225, 146, 210, 163, 227)(141, 205, 169, 233, 152, 216, 176, 240, 144, 208, 174, 238, 154, 218, 171, 235)(159, 223, 177, 241, 166, 230, 184, 248, 162, 226, 182, 246, 168, 232, 179, 243)(170, 234, 187, 251, 172, 236, 188, 252, 175, 239, 185, 249, 173, 237, 186, 250)(178, 242, 191, 255, 180, 244, 192, 256, 183, 247, 189, 253, 181, 245, 190, 254)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 156)(9, 161)(10, 165)(11, 167)(12, 130)(13, 170)(14, 135)(15, 134)(16, 175)(17, 131)(18, 133)(19, 157)(20, 158)(21, 164)(22, 160)(23, 163)(24, 172)(25, 155)(26, 173)(27, 147)(28, 142)(29, 145)(30, 136)(31, 178)(32, 140)(33, 139)(34, 183)(35, 137)(36, 151)(37, 146)(38, 180)(39, 149)(40, 181)(41, 185)(42, 154)(43, 188)(44, 141)(45, 144)(46, 187)(47, 152)(48, 186)(49, 189)(50, 168)(51, 192)(52, 159)(53, 162)(54, 191)(55, 166)(56, 190)(57, 171)(58, 169)(59, 176)(60, 174)(61, 179)(62, 177)(63, 184)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1971
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1978 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 8})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3 * Y1)^2, (Y1 * Y2 * Y1)^2, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y1^8, Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 82, 18, 105, 41, 104, 40, 81, 17, 69, 5, 65)(3, 73, 9, 91, 27, 119, 55, 124, 60, 109, 45, 83, 19, 75, 11, 67)(4, 76, 12, 98, 34, 120, 56, 125, 61, 110, 46, 84, 20, 78, 14, 68)(7, 85, 21, 79, 15, 102, 38, 122, 58, 126, 62, 106, 42, 87, 23, 71)(8, 88, 24, 80, 16, 103, 39, 123, 59, 127, 63, 107, 43, 90, 26, 72)(10, 94, 30, 108, 44, 89, 25, 113, 49, 86, 22, 77, 13, 95, 31, 74)(28, 116, 52, 96, 32, 118, 54, 99, 35, 111, 47, 101, 37, 114, 50, 92)(29, 112, 48, 97, 33, 115, 51, 100, 36, 117, 53, 128, 64, 121, 57, 93)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 32)(12, 33)(14, 36)(16, 30)(17, 27)(18, 42)(21, 47)(22, 43)(23, 50)(24, 51)(26, 53)(29, 56)(31, 59)(34, 49)(35, 45)(37, 55)(38, 54)(39, 48)(40, 58)(41, 60)(44, 61)(46, 64)(52, 62)(57, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 84)(71, 86)(73, 93)(75, 97)(76, 99)(77, 91)(78, 101)(79, 89)(81, 98)(82, 107)(83, 108)(85, 112)(87, 115)(88, 116)(90, 118)(92, 110)(94, 122)(95, 106)(96, 120)(100, 109)(102, 121)(103, 114)(104, 123)(105, 125)(111, 127)(113, 124)(117, 126)(119, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1979
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.1979 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 8})
Quotient :: halfedge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 84, 20, 99, 35, 92, 28, 74)(13, 87, 23, 100, 36, 97, 33, 77)(25, 104, 40, 93, 29, 101, 37, 89)(26, 105, 41, 94, 30, 102, 38, 90)(27, 109, 45, 117, 53, 111, 47, 91)(31, 108, 44, 98, 34, 106, 42, 95)(32, 113, 49, 118, 54, 115, 51, 96)(39, 119, 55, 112, 48, 121, 57, 103)(43, 122, 58, 116, 52, 124, 60, 107)(46, 120, 56, 114, 50, 123, 59, 110)(61, 128, 64, 126, 62, 127, 63, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 34)(16, 33)(18, 36)(19, 37)(20, 39)(21, 40)(22, 42)(24, 44)(26, 45)(28, 48)(30, 47)(32, 50)(35, 53)(38, 55)(41, 57)(43, 59)(46, 54)(49, 62)(51, 61)(52, 56)(58, 64)(60, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 89)(77, 96)(78, 93)(79, 92)(81, 99)(83, 102)(85, 105)(86, 101)(87, 107)(88, 104)(91, 110)(95, 113)(97, 116)(98, 115)(100, 118)(103, 120)(106, 122)(108, 124)(109, 125)(111, 126)(112, 123)(114, 117)(119, 127)(121, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.1978
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.1980 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 8})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2 * Y3)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 49, 113, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 53, 117, 47, 111)(28, 92, 51, 115, 30, 94, 52, 116)(35, 99, 54, 118, 45, 109, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(48, 112, 61, 125, 50, 114, 62, 126)(56, 120, 63, 127, 58, 122, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 156)(139, 158)(141, 154)(142, 150)(144, 155)(146, 166)(147, 168)(149, 164)(152, 165)(153, 173)(157, 177)(159, 170)(160, 169)(161, 180)(162, 179)(163, 181)(167, 185)(171, 188)(172, 187)(174, 186)(175, 184)(176, 183)(178, 182)(189, 191)(190, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 212)(203, 215)(204, 210)(206, 221)(207, 211)(209, 227)(214, 231)(218, 240)(219, 242)(220, 238)(222, 239)(223, 236)(224, 235)(225, 234)(226, 233)(228, 248)(229, 250)(230, 246)(232, 247)(237, 249)(241, 245)(243, 254)(244, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.1983
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.1981 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 8})
Quotient :: edge^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y1, Y1 * Y2 * Y1 * Y3^2 * Y2, (Y2 * Y3^-1 * Y1)^2, (Y3^-2 * Y2)^2, Y3^8, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-3 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 34, 98, 55, 119, 37, 101, 17, 81, 5, 69)(2, 66, 7, 71, 23, 87, 45, 109, 63, 127, 48, 112, 26, 90, 8, 72)(3, 67, 10, 74, 29, 93, 52, 116, 58, 122, 38, 102, 18, 82, 11, 75)(6, 70, 19, 83, 40, 104, 60, 124, 50, 114, 27, 91, 9, 73, 20, 84)(12, 76, 30, 94, 15, 79, 35, 99, 49, 113, 61, 125, 54, 118, 31, 95)(13, 77, 32, 96, 16, 80, 36, 100, 56, 120, 59, 123, 39, 103, 33, 97)(21, 85, 41, 105, 24, 88, 46, 110, 57, 121, 53, 117, 62, 126, 42, 106)(22, 86, 43, 107, 25, 89, 47, 111, 64, 128, 51, 115, 28, 92, 44, 108)(129, 130)(131, 137)(132, 140)(133, 143)(134, 146)(135, 149)(136, 152)(138, 156)(139, 150)(141, 148)(142, 154)(144, 155)(145, 151)(147, 167)(153, 166)(157, 178)(158, 181)(159, 170)(160, 175)(161, 179)(162, 182)(163, 174)(164, 171)(165, 177)(168, 186)(169, 189)(172, 187)(173, 190)(176, 185)(180, 192)(183, 191)(184, 188)(193, 195)(194, 198)(196, 205)(197, 208)(199, 214)(200, 217)(201, 215)(202, 213)(203, 216)(204, 211)(206, 210)(207, 212)(209, 221)(218, 232)(219, 241)(220, 237)(222, 243)(223, 236)(224, 245)(225, 234)(226, 231)(227, 239)(228, 238)(229, 248)(230, 249)(233, 251)(235, 253)(240, 256)(242, 255)(244, 254)(246, 252)(247, 250)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1982
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.1982 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 8})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2 * Y3)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 49, 113, 177, 241, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 57, 121, 185, 249, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 53, 117, 181, 245, 47, 111, 175, 239)(28, 92, 156, 220, 51, 115, 179, 243, 30, 94, 158, 222, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 45, 109, 173, 237, 55, 119, 183, 247)(38, 102, 166, 230, 59, 123, 187, 251, 40, 104, 168, 232, 60, 124, 188, 252)(48, 112, 176, 240, 61, 125, 189, 253, 50, 114, 178, 242, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255, 58, 122, 186, 250, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 92)(11, 94)(12, 68)(13, 90)(14, 86)(15, 69)(16, 91)(17, 70)(18, 102)(19, 104)(20, 71)(21, 100)(22, 78)(23, 72)(24, 101)(25, 109)(26, 77)(27, 80)(28, 74)(29, 113)(30, 75)(31, 106)(32, 105)(33, 116)(34, 115)(35, 117)(36, 85)(37, 88)(38, 82)(39, 121)(40, 83)(41, 96)(42, 95)(43, 124)(44, 123)(45, 89)(46, 122)(47, 120)(48, 119)(49, 93)(50, 118)(51, 98)(52, 97)(53, 99)(54, 114)(55, 112)(56, 111)(57, 103)(58, 110)(59, 108)(60, 107)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 212)(139, 215)(140, 210)(141, 196)(142, 221)(143, 211)(144, 197)(145, 227)(146, 204)(147, 207)(148, 202)(149, 199)(150, 231)(151, 203)(152, 200)(153, 201)(154, 240)(155, 242)(156, 238)(157, 206)(158, 239)(159, 236)(160, 235)(161, 234)(162, 233)(163, 209)(164, 248)(165, 250)(166, 246)(167, 214)(168, 247)(169, 226)(170, 225)(171, 224)(172, 223)(173, 249)(174, 220)(175, 222)(176, 218)(177, 245)(178, 219)(179, 254)(180, 253)(181, 241)(182, 230)(183, 232)(184, 228)(185, 237)(186, 229)(187, 256)(188, 255)(189, 244)(190, 243)(191, 252)(192, 251)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1981
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.1983 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 8})
Quotient :: loop^2
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y1, Y1 * Y2 * Y1 * Y3^2 * Y2, (Y2 * Y3^-1 * Y1)^2, (Y3^-2 * Y2)^2, Y3^8, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-3 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 34, 98, 162, 226, 55, 119, 183, 247, 37, 101, 165, 229, 17, 81, 145, 209, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 23, 87, 151, 215, 45, 109, 173, 237, 63, 127, 191, 255, 48, 112, 176, 240, 26, 90, 154, 218, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 52, 116, 180, 244, 58, 122, 186, 250, 38, 102, 166, 230, 18, 82, 146, 210, 11, 75, 139, 203)(6, 70, 134, 198, 19, 83, 147, 211, 40, 104, 168, 232, 60, 124, 188, 252, 50, 114, 178, 242, 27, 91, 155, 219, 9, 73, 137, 201, 20, 84, 148, 212)(12, 76, 140, 204, 30, 94, 158, 222, 15, 79, 143, 207, 35, 99, 163, 227, 49, 113, 177, 241, 61, 125, 189, 253, 54, 118, 182, 246, 31, 95, 159, 223)(13, 77, 141, 205, 32, 96, 160, 224, 16, 80, 144, 208, 36, 100, 164, 228, 56, 120, 184, 248, 59, 123, 187, 251, 39, 103, 167, 231, 33, 97, 161, 225)(21, 85, 149, 213, 41, 105, 169, 233, 24, 88, 152, 216, 46, 110, 174, 238, 57, 121, 185, 249, 53, 117, 181, 245, 62, 126, 190, 254, 42, 106, 170, 234)(22, 86, 150, 214, 43, 107, 171, 235, 25, 89, 153, 217, 47, 111, 175, 239, 64, 128, 192, 256, 51, 115, 179, 243, 28, 92, 156, 220, 44, 108, 172, 236)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 82)(7, 85)(8, 88)(9, 67)(10, 92)(11, 86)(12, 68)(13, 84)(14, 90)(15, 69)(16, 91)(17, 87)(18, 70)(19, 103)(20, 77)(21, 71)(22, 75)(23, 81)(24, 72)(25, 102)(26, 78)(27, 80)(28, 74)(29, 114)(30, 117)(31, 106)(32, 111)(33, 115)(34, 118)(35, 110)(36, 107)(37, 113)(38, 89)(39, 83)(40, 122)(41, 125)(42, 95)(43, 100)(44, 123)(45, 126)(46, 99)(47, 96)(48, 121)(49, 101)(50, 93)(51, 97)(52, 128)(53, 94)(54, 98)(55, 127)(56, 124)(57, 112)(58, 104)(59, 108)(60, 120)(61, 105)(62, 109)(63, 119)(64, 116)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 214)(136, 217)(137, 215)(138, 213)(139, 216)(140, 211)(141, 196)(142, 210)(143, 212)(144, 197)(145, 221)(146, 206)(147, 204)(148, 207)(149, 202)(150, 199)(151, 201)(152, 203)(153, 200)(154, 232)(155, 241)(156, 237)(157, 209)(158, 243)(159, 236)(160, 245)(161, 234)(162, 231)(163, 239)(164, 238)(165, 248)(166, 249)(167, 226)(168, 218)(169, 251)(170, 225)(171, 253)(172, 223)(173, 220)(174, 228)(175, 227)(176, 256)(177, 219)(178, 255)(179, 222)(180, 254)(181, 224)(182, 252)(183, 250)(184, 229)(185, 230)(186, 247)(187, 233)(188, 246)(189, 235)(190, 244)(191, 242)(192, 240)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.1980
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.1984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-4, Y2^4, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4 * Y2^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 37, 101)(18, 82, 38, 102)(19, 83, 24, 88)(22, 86, 42, 106)(23, 87, 40, 104)(25, 89, 47, 111)(27, 91, 48, 112)(29, 93, 41, 105)(31, 95, 39, 103)(33, 97, 44, 108)(34, 98, 43, 107)(35, 99, 54, 118)(36, 100, 51, 115)(45, 109, 60, 124)(46, 110, 57, 121)(49, 113, 59, 123)(50, 114, 58, 122)(52, 116, 56, 120)(53, 117, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 141, 205, 161, 225, 144, 208)(134, 198, 142, 206, 162, 226, 146, 210)(136, 200, 150, 214, 171, 235, 153, 217)(138, 202, 151, 215, 172, 236, 155, 219)(139, 203, 157, 221, 145, 209, 159, 223)(143, 207, 163, 227, 147, 211, 164, 228)(148, 212, 167, 231, 154, 218, 169, 233)(152, 216, 173, 237, 156, 220, 174, 238)(158, 222, 177, 241, 166, 230, 180, 244)(160, 224, 178, 242, 165, 229, 181, 245)(168, 232, 183, 247, 176, 240, 186, 250)(170, 234, 184, 248, 175, 239, 187, 251)(179, 243, 189, 253, 182, 246, 190, 254)(185, 249, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 150)(8, 152)(9, 153)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 162)(16, 164)(17, 166)(18, 133)(19, 134)(20, 168)(21, 171)(22, 173)(23, 135)(24, 172)(25, 174)(26, 176)(27, 137)(28, 138)(29, 177)(30, 179)(31, 180)(32, 139)(33, 147)(34, 140)(35, 146)(36, 142)(37, 145)(38, 182)(39, 183)(40, 185)(41, 186)(42, 148)(43, 156)(44, 149)(45, 155)(46, 151)(47, 154)(48, 188)(49, 189)(50, 157)(51, 165)(52, 190)(53, 159)(54, 160)(55, 191)(56, 167)(57, 175)(58, 192)(59, 169)(60, 170)(61, 181)(62, 178)(63, 187)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1986
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y3^4 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 37, 101)(16, 80, 28, 92)(18, 82, 38, 102)(19, 83, 25, 89)(22, 86, 42, 106)(23, 87, 40, 104)(24, 88, 47, 111)(27, 91, 48, 112)(29, 93, 41, 105)(31, 95, 39, 103)(33, 97, 44, 108)(34, 98, 43, 107)(35, 99, 54, 118)(36, 100, 52, 116)(45, 109, 60, 124)(46, 110, 58, 122)(49, 113, 59, 123)(50, 114, 57, 121)(51, 115, 56, 120)(53, 117, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 143, 207, 161, 225, 141, 205)(134, 198, 146, 210, 162, 226, 142, 206)(136, 200, 152, 216, 171, 235, 150, 214)(138, 202, 155, 219, 172, 236, 151, 215)(139, 203, 157, 221, 145, 209, 159, 223)(144, 208, 163, 227, 147, 211, 164, 228)(148, 212, 167, 231, 154, 218, 169, 233)(153, 217, 173, 237, 156, 220, 174, 238)(158, 222, 179, 243, 166, 230, 177, 241)(160, 224, 181, 245, 165, 229, 178, 242)(168, 232, 185, 249, 176, 240, 183, 247)(170, 234, 187, 251, 175, 239, 184, 248)(180, 244, 189, 253, 182, 246, 190, 254)(186, 250, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 152)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 164)(16, 162)(17, 166)(18, 133)(19, 134)(20, 168)(21, 171)(22, 173)(23, 135)(24, 174)(25, 172)(26, 176)(27, 137)(28, 138)(29, 177)(30, 180)(31, 179)(32, 139)(33, 147)(34, 140)(35, 146)(36, 142)(37, 145)(38, 182)(39, 183)(40, 186)(41, 185)(42, 148)(43, 156)(44, 149)(45, 155)(46, 151)(47, 154)(48, 188)(49, 189)(50, 157)(51, 190)(52, 165)(53, 159)(54, 160)(55, 191)(56, 167)(57, 192)(58, 175)(59, 169)(60, 170)(61, 181)(62, 178)(63, 187)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1987
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y3^2 * Y1^6, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y3^-2 * Y2, Y2 * Y3^2 * Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 18, 82, 35, 99, 33, 97, 16, 80, 5, 69)(3, 67, 11, 75, 25, 89, 45, 109, 54, 118, 38, 102, 19, 83, 13, 77)(4, 68, 9, 73, 20, 84, 37, 101, 34, 98, 17, 81, 6, 70, 10, 74)(8, 72, 21, 85, 15, 79, 31, 95, 52, 116, 55, 119, 36, 100, 23, 87)(12, 76, 27, 91, 46, 110, 58, 122, 39, 103, 30, 94, 14, 78, 28, 92)(22, 86, 41, 105, 32, 96, 53, 117, 56, 120, 44, 108, 24, 88, 42, 106)(26, 90, 47, 111, 29, 93, 50, 114, 57, 121, 40, 104, 59, 123, 43, 107)(48, 112, 63, 127, 51, 115, 61, 125, 64, 128, 60, 124, 49, 113, 62, 126)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 143, 207)(134, 198, 140, 204)(135, 199, 147, 211)(137, 201, 152, 216)(138, 202, 150, 214)(139, 203, 154, 218)(141, 205, 157, 221)(144, 208, 153, 217)(145, 209, 160, 224)(146, 210, 164, 228)(148, 212, 167, 231)(149, 213, 168, 232)(151, 215, 171, 235)(155, 219, 177, 241)(156, 220, 176, 240)(158, 222, 179, 243)(159, 223, 178, 242)(161, 225, 180, 244)(162, 226, 174, 238)(163, 227, 182, 246)(165, 229, 184, 248)(166, 230, 185, 249)(169, 233, 189, 253)(170, 234, 188, 252)(172, 236, 190, 254)(173, 237, 187, 251)(175, 239, 183, 247)(181, 245, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 135)(5, 138)(6, 129)(7, 148)(8, 150)(9, 146)(10, 130)(11, 155)(12, 153)(13, 156)(14, 131)(15, 160)(16, 134)(17, 133)(18, 165)(19, 142)(20, 163)(21, 169)(22, 143)(23, 170)(24, 136)(25, 174)(26, 176)(27, 173)(28, 139)(29, 179)(30, 141)(31, 181)(32, 180)(33, 145)(34, 144)(35, 162)(36, 152)(37, 161)(38, 158)(39, 147)(40, 188)(41, 159)(42, 149)(43, 190)(44, 151)(45, 186)(46, 182)(47, 191)(48, 157)(49, 154)(50, 189)(51, 185)(52, 184)(53, 183)(54, 167)(55, 172)(56, 164)(57, 192)(58, 166)(59, 177)(60, 171)(61, 168)(62, 175)(63, 178)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1984
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 153>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y3^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, Y3^8, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 38, 102, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 49, 113, 57, 121, 41, 105, 20, 84, 13, 77)(4, 68, 15, 79, 6, 70, 18, 82, 21, 85, 9, 73, 26, 90, 10, 74)(8, 72, 22, 86, 17, 81, 36, 100, 56, 120, 58, 122, 39, 103, 24, 88)(12, 76, 31, 95, 14, 78, 33, 97, 48, 112, 29, 93, 40, 104, 30, 94)(23, 87, 45, 109, 25, 89, 47, 111, 37, 101, 43, 107, 34, 98, 44, 108)(28, 92, 50, 114, 32, 96, 54, 118, 59, 123, 42, 106, 60, 124, 46, 110)(51, 115, 61, 125, 52, 116, 62, 126, 55, 119, 64, 128, 53, 117, 63, 127)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 156, 220)(141, 205, 160, 224)(143, 207, 162, 226)(144, 208, 155, 219)(146, 210, 165, 229)(147, 211, 167, 231)(149, 213, 168, 232)(150, 214, 170, 234)(152, 216, 174, 238)(154, 218, 176, 240)(157, 221, 180, 244)(158, 222, 179, 243)(159, 223, 181, 245)(161, 225, 183, 247)(163, 227, 184, 248)(164, 228, 182, 246)(166, 230, 185, 249)(169, 233, 187, 251)(171, 235, 190, 254)(172, 236, 189, 253)(173, 237, 191, 255)(175, 239, 192, 256)(177, 241, 188, 252)(178, 242, 186, 250)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 146)(6, 129)(7, 134)(8, 151)(9, 133)(10, 130)(11, 157)(12, 148)(13, 161)(14, 131)(15, 147)(16, 154)(17, 153)(18, 163)(19, 138)(20, 168)(21, 135)(22, 171)(23, 167)(24, 175)(25, 136)(26, 166)(27, 142)(28, 179)(29, 141)(30, 139)(31, 177)(32, 180)(33, 169)(34, 184)(35, 143)(36, 172)(37, 145)(38, 149)(39, 162)(40, 185)(41, 159)(42, 189)(43, 152)(44, 150)(45, 164)(46, 190)(47, 186)(48, 155)(49, 158)(50, 192)(51, 188)(52, 156)(53, 187)(54, 191)(55, 160)(56, 165)(57, 176)(58, 173)(59, 183)(60, 181)(61, 182)(62, 170)(63, 178)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1985
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1988 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
Aut   = $<128, 1918>$ (small group id <128, 1918>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y2 * Y3 * Y2 * Y3^-1, Y3^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3^2 * Y1 * Y2, (Y3^-1 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 21, 85)(11, 75, 22, 86)(13, 77, 19, 83)(16, 80, 25, 89)(17, 81, 26, 90)(23, 87, 31, 95)(24, 88, 32, 96)(27, 91, 35, 99)(28, 92, 36, 100)(29, 93, 37, 101)(30, 94, 38, 102)(33, 97, 41, 105)(34, 98, 42, 106)(39, 103, 47, 111)(40, 104, 48, 112)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(49, 113, 57, 121)(50, 114, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 147, 211)(140, 204, 150, 214)(141, 205, 143, 207)(142, 206, 149, 213)(146, 210, 154, 218)(148, 212, 153, 217)(151, 215, 158, 222)(152, 216, 157, 221)(155, 219, 162, 226)(156, 220, 161, 225)(159, 223, 165, 229)(160, 224, 166, 230)(163, 227, 169, 233)(164, 228, 170, 234)(167, 231, 173, 237)(168, 232, 174, 238)(171, 235, 177, 241)(172, 236, 178, 242)(175, 239, 182, 246)(176, 240, 181, 245)(179, 243, 186, 250)(180, 244, 185, 249)(183, 247, 190, 254)(184, 248, 189, 253)(187, 251, 192, 256)(188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 145)(10, 143)(11, 131)(12, 151)(13, 133)(14, 152)(15, 139)(16, 137)(17, 134)(18, 155)(19, 136)(20, 156)(21, 157)(22, 158)(23, 142)(24, 140)(25, 161)(26, 162)(27, 148)(28, 146)(29, 150)(30, 149)(31, 167)(32, 168)(33, 154)(34, 153)(35, 171)(36, 172)(37, 173)(38, 174)(39, 160)(40, 159)(41, 177)(42, 178)(43, 164)(44, 163)(45, 166)(46, 165)(47, 183)(48, 184)(49, 170)(50, 169)(51, 187)(52, 188)(53, 189)(54, 190)(55, 176)(56, 175)(57, 191)(58, 192)(59, 180)(60, 179)(61, 182)(62, 181)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1993
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
Aut   = $<128, 1918>$ (small group id <128, 1918>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3^4, Y3^-2 * Y2^2, Y3^-1 * Y2^-2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 23, 87)(14, 78, 22, 86)(15, 79, 21, 85)(16, 80, 20, 84)(25, 89, 33, 97)(26, 90, 36, 100)(27, 91, 35, 99)(28, 92, 34, 98)(29, 93, 37, 101)(30, 94, 40, 104)(31, 95, 39, 103)(32, 96, 38, 102)(41, 105, 49, 113)(42, 106, 52, 116)(43, 107, 51, 115)(44, 108, 50, 114)(45, 109, 53, 117)(46, 110, 56, 120)(47, 111, 55, 119)(48, 112, 54, 118)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 154, 218)(141, 205, 155, 219, 142, 206, 156, 220)(146, 210, 157, 221, 152, 216, 158, 222)(148, 212, 159, 223, 149, 213, 160, 224)(161, 225, 169, 233, 164, 228, 170, 234)(162, 226, 171, 235, 163, 227, 172, 236)(165, 229, 173, 237, 168, 232, 174, 238)(166, 230, 175, 239, 167, 231, 176, 240)(177, 241, 185, 249, 180, 244, 186, 250)(178, 242, 187, 251, 179, 243, 188, 252)(181, 245, 189, 253, 184, 248, 190, 254)(182, 246, 191, 255, 183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 150)(12, 134)(13, 133)(14, 131)(15, 152)(16, 146)(17, 151)(18, 143)(19, 138)(20, 137)(21, 135)(22, 145)(23, 139)(24, 144)(25, 162)(26, 163)(27, 164)(28, 161)(29, 166)(30, 167)(31, 168)(32, 165)(33, 155)(34, 154)(35, 153)(36, 156)(37, 159)(38, 158)(39, 157)(40, 160)(41, 178)(42, 179)(43, 180)(44, 177)(45, 182)(46, 183)(47, 184)(48, 181)(49, 171)(50, 170)(51, 169)(52, 172)(53, 175)(54, 174)(55, 173)(56, 176)(57, 191)(58, 192)(59, 190)(60, 189)(61, 187)(62, 188)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1991
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
Aut   = $<128, 2026>$ (small group id <128, 2026>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, Y3^-1 * Y2^2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 16, 80)(12, 76, 18, 82)(13, 77, 17, 81)(14, 78, 20, 84)(15, 79, 19, 83)(21, 85, 26, 90)(22, 86, 25, 89)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 44, 108)(40, 104, 43, 107)(45, 109, 50, 114)(46, 110, 49, 113)(47, 111, 52, 116)(48, 112, 51, 115)(53, 117, 58, 122)(54, 118, 57, 121)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 144, 208, 137, 201)(132, 196, 142, 206, 134, 198, 143, 207)(136, 200, 147, 211, 138, 202, 148, 212)(140, 204, 149, 213, 141, 205, 150, 214)(145, 209, 153, 217, 146, 210, 154, 218)(151, 215, 159, 223, 152, 216, 160, 224)(155, 219, 163, 227, 156, 220, 164, 228)(157, 221, 165, 229, 158, 222, 166, 230)(161, 225, 169, 233, 162, 226, 170, 234)(167, 231, 175, 239, 168, 232, 176, 240)(171, 235, 179, 243, 172, 236, 180, 244)(173, 237, 181, 245, 174, 238, 182, 246)(177, 241, 185, 249, 178, 242, 186, 250)(183, 247, 189, 253, 184, 248, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 139)(5, 141)(6, 129)(7, 145)(8, 144)(9, 146)(10, 130)(11, 134)(12, 133)(13, 131)(14, 151)(15, 152)(16, 138)(17, 137)(18, 135)(19, 155)(20, 156)(21, 157)(22, 158)(23, 143)(24, 142)(25, 161)(26, 162)(27, 148)(28, 147)(29, 150)(30, 149)(31, 167)(32, 168)(33, 154)(34, 153)(35, 171)(36, 172)(37, 173)(38, 174)(39, 160)(40, 159)(41, 177)(42, 178)(43, 164)(44, 163)(45, 166)(46, 165)(47, 183)(48, 184)(49, 170)(50, 169)(51, 187)(52, 188)(53, 189)(54, 190)(55, 176)(56, 175)(57, 191)(58, 192)(59, 180)(60, 179)(61, 182)(62, 181)(63, 186)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1992
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
Aut   = $<128, 1918>$ (small group id <128, 1918>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 37, 101, 35, 99, 18, 82, 5, 69)(3, 67, 11, 75, 21, 85, 41, 105, 52, 116, 47, 111, 31, 95, 13, 77)(4, 68, 15, 79, 33, 97, 49, 113, 53, 117, 39, 103, 22, 86, 9, 73)(6, 70, 19, 83, 36, 100, 51, 115, 54, 118, 40, 104, 23, 87, 10, 74)(8, 72, 24, 88, 38, 102, 55, 119, 50, 114, 34, 98, 17, 81, 26, 90)(12, 76, 29, 93, 45, 109, 59, 123, 62, 126, 57, 121, 42, 106, 27, 91)(14, 78, 32, 96, 48, 112, 61, 125, 63, 127, 56, 120, 43, 107, 25, 89)(16, 80, 28, 92, 44, 108, 58, 122, 64, 128, 60, 124, 46, 110, 30, 94)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 156, 220)(141, 205, 158, 222)(143, 207, 157, 221)(144, 208, 154, 218)(146, 210, 159, 223)(147, 211, 160, 224)(148, 212, 166, 230)(150, 214, 171, 235)(151, 215, 170, 234)(152, 216, 172, 236)(161, 225, 176, 240)(162, 226, 174, 238)(163, 227, 178, 242)(164, 228, 173, 237)(165, 229, 180, 244)(167, 231, 185, 249)(168, 232, 184, 248)(169, 233, 186, 250)(175, 239, 188, 252)(177, 241, 187, 251)(179, 243, 189, 253)(181, 245, 191, 255)(182, 246, 190, 254)(183, 247, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 155)(12, 154)(13, 157)(14, 131)(15, 158)(16, 134)(17, 160)(18, 161)(19, 133)(20, 167)(21, 170)(22, 172)(23, 135)(24, 171)(25, 139)(26, 142)(27, 136)(28, 138)(29, 145)(30, 147)(31, 173)(32, 141)(33, 174)(34, 176)(35, 177)(36, 146)(37, 181)(38, 184)(39, 186)(40, 148)(41, 185)(42, 152)(43, 149)(44, 151)(45, 162)(46, 164)(47, 187)(48, 159)(49, 188)(50, 189)(51, 163)(52, 190)(53, 192)(54, 165)(55, 191)(56, 169)(57, 166)(58, 168)(59, 178)(60, 179)(61, 175)(62, 183)(63, 180)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1989
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
Aut   = $<128, 2026>$ (small group id <128, 2026>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3 * Y1 * Y3^-1, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * R * Y2 * R * Y1, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1, (Y2 * Y1^-2)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 37, 101, 35, 99, 18, 82, 5, 69)(3, 67, 11, 75, 29, 93, 45, 109, 52, 116, 42, 106, 21, 85, 13, 77)(4, 68, 15, 79, 33, 97, 49, 113, 53, 117, 39, 103, 22, 86, 9, 73)(6, 70, 19, 83, 36, 100, 51, 115, 54, 118, 40, 104, 23, 87, 10, 74)(8, 72, 24, 88, 17, 81, 34, 98, 50, 114, 56, 120, 38, 102, 26, 90)(12, 76, 27, 91, 41, 105, 57, 121, 62, 126, 60, 124, 46, 110, 31, 95)(14, 78, 25, 89, 43, 107, 55, 119, 63, 127, 61, 125, 47, 111, 32, 96)(16, 80, 28, 92, 44, 108, 58, 122, 64, 128, 59, 123, 48, 112, 30, 94)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 156, 220)(143, 207, 159, 223)(144, 208, 152, 216)(146, 210, 157, 221)(147, 211, 160, 224)(148, 212, 166, 230)(150, 214, 171, 235)(151, 215, 169, 233)(154, 218, 172, 236)(161, 225, 175, 239)(162, 226, 176, 240)(163, 227, 178, 242)(164, 228, 174, 238)(165, 229, 180, 244)(167, 231, 185, 249)(168, 232, 183, 247)(170, 234, 186, 250)(173, 237, 187, 251)(177, 241, 188, 252)(179, 243, 189, 253)(181, 245, 191, 255)(182, 246, 190, 254)(184, 248, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 152)(13, 155)(14, 131)(15, 158)(16, 134)(17, 160)(18, 161)(19, 133)(20, 167)(21, 169)(22, 172)(23, 135)(24, 142)(25, 141)(26, 171)(27, 136)(28, 138)(29, 174)(30, 147)(31, 145)(32, 139)(33, 176)(34, 175)(35, 177)(36, 146)(37, 181)(38, 183)(39, 186)(40, 148)(41, 154)(42, 185)(43, 149)(44, 151)(45, 188)(46, 162)(47, 157)(48, 164)(49, 187)(50, 189)(51, 163)(52, 190)(53, 192)(54, 165)(55, 170)(56, 191)(57, 166)(58, 168)(59, 179)(60, 178)(61, 173)(62, 184)(63, 180)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1990
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
Aut   = $<128, 1918>$ (small group id <128, 1918>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), Y1^2 * Y3^-2, (R * Y3)^2, Y1^2 * Y3^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y2^-1 * Y3^-1)^2, Y1^4, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, R * Y1^-1 * Y2^2 * R * Y2^-1 * Y1^-1 * Y2, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 11, 75, 21, 85, 15, 79)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 9, 73, 22, 86, 18, 82)(13, 77, 28, 92, 37, 101, 31, 95)(14, 78, 27, 91, 16, 80, 26, 90)(17, 81, 25, 89, 19, 83, 24, 88)(20, 84, 23, 87, 38, 102, 34, 98)(29, 93, 44, 108, 52, 116, 47, 111)(30, 94, 42, 106, 32, 96, 43, 107)(33, 97, 40, 104, 35, 99, 41, 105)(36, 100, 39, 103, 53, 117, 50, 114)(45, 109, 54, 118, 62, 126, 60, 124)(46, 110, 58, 122, 48, 112, 57, 121)(49, 113, 56, 120, 51, 115, 55, 119)(59, 123, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 141, 205, 157, 221, 173, 237, 164, 228, 148, 212, 134, 198)(130, 194, 137, 201, 151, 215, 167, 231, 182, 246, 172, 236, 156, 220, 139, 203)(132, 196, 145, 209, 161, 225, 177, 241, 187, 251, 176, 240, 158, 222, 144, 208)(133, 197, 146, 210, 162, 226, 178, 242, 188, 252, 175, 239, 159, 223, 143, 207)(135, 199, 147, 211, 163, 227, 179, 243, 189, 253, 174, 238, 160, 224, 142, 206)(136, 200, 149, 213, 165, 229, 180, 244, 190, 254, 181, 245, 166, 230, 150, 214)(138, 202, 154, 218, 170, 234, 185, 249, 191, 255, 184, 248, 168, 232, 153, 217)(140, 204, 155, 219, 171, 235, 186, 250, 192, 256, 183, 247, 169, 233, 152, 216)
	L = (1, 132)(2, 138)(3, 142)(4, 136)(5, 140)(6, 147)(7, 129)(8, 135)(9, 152)(10, 133)(11, 155)(12, 130)(13, 158)(14, 149)(15, 154)(16, 131)(17, 134)(18, 153)(19, 150)(20, 161)(21, 144)(22, 145)(23, 168)(24, 146)(25, 137)(26, 139)(27, 143)(28, 170)(29, 174)(30, 165)(31, 171)(32, 141)(33, 166)(34, 169)(35, 148)(36, 179)(37, 160)(38, 163)(39, 183)(40, 162)(41, 151)(42, 159)(43, 156)(44, 186)(45, 187)(46, 180)(47, 185)(48, 157)(49, 164)(50, 184)(51, 181)(52, 176)(53, 177)(54, 191)(55, 178)(56, 167)(57, 172)(58, 175)(59, 190)(60, 192)(61, 173)(62, 189)(63, 188)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1988
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.1994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
Aut   = $<128, 1924>$ (small group id <128, 1924>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^4, Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 43, 107)(27, 91, 32, 96)(28, 92, 50, 114)(29, 93, 51, 115)(30, 94, 33, 97)(35, 99, 54, 118)(38, 102, 61, 125)(39, 103, 62, 126)(41, 105, 55, 119)(42, 106, 58, 122)(44, 108, 52, 116)(45, 109, 57, 121)(46, 110, 56, 120)(47, 111, 53, 117)(48, 112, 60, 124)(49, 113, 59, 123)(63, 127, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 176, 240)(157, 221, 177, 241)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(171, 235, 191, 255)(173, 237, 190, 254)(174, 238, 189, 253)(178, 242, 185, 249)(179, 243, 184, 248)(182, 246, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 191)(42, 149)(43, 151)(44, 190)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 183)(51, 186)(52, 192)(53, 159)(54, 161)(55, 179)(56, 164)(57, 162)(58, 178)(59, 168)(60, 165)(61, 172)(62, 175)(63, 170)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1999
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.1995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
Aut   = $<128, 1924>$ (small group id <128, 1924>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, Y2^4, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 53, 117)(40, 104, 56, 120)(41, 105, 51, 115)(42, 106, 55, 119)(43, 107, 54, 118)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 188, 252, 174, 238, 187, 251)(184, 248, 191, 255, 186, 250, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 157)(19, 173)(20, 133)(21, 151)(22, 158)(23, 143)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 145)(31, 185)(32, 137)(33, 139)(34, 146)(35, 183)(36, 182)(37, 189)(38, 140)(39, 176)(40, 142)(41, 175)(42, 187)(43, 188)(44, 149)(45, 148)(46, 150)(47, 171)(48, 170)(49, 192)(50, 152)(51, 164)(52, 154)(53, 163)(54, 190)(55, 191)(56, 161)(57, 160)(58, 162)(59, 167)(60, 169)(61, 166)(62, 179)(63, 181)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1997
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
Aut   = $<128, 2050>$ (small group id <128, 2050>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^4, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 29, 93)(15, 79, 25, 89)(16, 80, 30, 94)(17, 81, 28, 92)(18, 82, 27, 91)(19, 83, 24, 88)(20, 84, 26, 90)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 46, 110)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 54, 118)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 187, 251, 169, 233, 185, 249)(167, 231, 186, 250, 170, 234, 184, 248)(178, 242, 192, 256, 181, 245, 190, 254)(179, 243, 191, 255, 182, 246, 189, 253)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.1998
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.1997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
Aut   = $<128, 1924>$ (small group id <128, 1924>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, Y3^-2 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * R * Y2)^2, Y3 * Y1^3 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1^-3 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1^-1, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 49, 113, 47, 111, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 51, 115, 63, 127, 62, 126, 41, 105, 13, 77)(4, 68, 15, 79, 34, 98, 9, 73, 32, 96, 19, 83, 26, 90, 17, 81)(6, 70, 22, 86, 36, 100, 10, 74, 35, 99, 21, 85, 27, 91, 23, 87)(8, 72, 28, 92, 50, 114, 64, 128, 61, 125, 48, 112, 18, 82, 30, 94)(12, 76, 37, 101, 58, 122, 31, 95, 57, 121, 40, 104, 52, 116, 38, 102)(14, 78, 43, 107, 56, 120, 29, 93, 55, 119, 42, 106, 53, 117, 44, 108)(16, 80, 33, 97, 54, 118, 45, 109, 59, 123, 46, 110, 60, 124, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 161, 225)(141, 205, 167, 231)(143, 207, 165, 229)(144, 208, 158, 222)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 171, 235)(151, 215, 172, 236)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 180, 244)(156, 220, 182, 246)(160, 224, 183, 247)(162, 226, 184, 248)(163, 227, 185, 249)(164, 228, 186, 250)(173, 237, 179, 243)(174, 238, 190, 254)(175, 239, 189, 253)(176, 240, 188, 252)(177, 241, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 159)(12, 158)(13, 168)(14, 131)(15, 173)(16, 134)(17, 174)(18, 170)(19, 167)(20, 162)(21, 133)(22, 152)(23, 175)(24, 143)(25, 180)(26, 182)(27, 135)(28, 181)(29, 139)(30, 142)(31, 136)(32, 187)(33, 138)(34, 188)(35, 177)(36, 148)(37, 178)(38, 189)(39, 149)(40, 146)(41, 186)(42, 141)(43, 179)(44, 190)(45, 150)(46, 151)(47, 145)(48, 184)(49, 160)(50, 171)(51, 165)(52, 156)(53, 153)(54, 155)(55, 191)(56, 169)(57, 192)(58, 176)(59, 163)(60, 164)(61, 172)(62, 166)(63, 185)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.1995
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
Aut   = $<128, 2050>$ (small group id <128, 2050>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y2 * Y1^-2)^2, Y3 * Y1^2 * Y3^-1 * Y1^2, Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^-1, Y1^-3 * Y3 * Y1 * Y3^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 50, 114, 48, 112, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 59, 123, 64, 128, 53, 117, 25, 89, 13, 77)(4, 68, 15, 79, 34, 98, 9, 73, 32, 96, 19, 83, 26, 90, 17, 81)(6, 70, 22, 86, 36, 100, 10, 74, 35, 99, 21, 85, 27, 91, 23, 87)(8, 72, 28, 92, 18, 82, 49, 113, 63, 127, 41, 105, 51, 115, 30, 94)(12, 76, 31, 95, 52, 116, 39, 103, 58, 122, 44, 108, 62, 126, 42, 106)(14, 78, 29, 93, 54, 118, 40, 104, 57, 121, 45, 109, 61, 125, 46, 110)(16, 80, 33, 97, 55, 119, 38, 102, 56, 120, 43, 107, 60, 124, 47, 111)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 171, 235)(143, 207, 167, 231)(144, 208, 169, 233)(145, 209, 172, 236)(147, 211, 170, 234)(148, 212, 165, 229)(149, 213, 174, 238)(150, 214, 168, 232)(151, 215, 173, 237)(152, 216, 179, 243)(154, 218, 182, 246)(155, 219, 180, 244)(156, 220, 184, 248)(158, 222, 188, 252)(160, 224, 185, 249)(161, 225, 187, 251)(162, 226, 189, 253)(163, 227, 186, 250)(164, 228, 190, 254)(175, 239, 181, 245)(176, 240, 191, 255)(177, 241, 183, 247)(178, 242, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 169)(13, 172)(14, 131)(15, 166)(16, 134)(17, 171)(18, 174)(19, 175)(20, 162)(21, 133)(22, 152)(23, 176)(24, 143)(25, 180)(26, 183)(27, 135)(28, 185)(29, 187)(30, 189)(31, 136)(32, 184)(33, 138)(34, 188)(35, 178)(36, 148)(37, 190)(38, 150)(39, 179)(40, 139)(41, 142)(42, 146)(43, 151)(44, 191)(45, 141)(46, 181)(47, 149)(48, 145)(49, 182)(50, 160)(51, 168)(52, 177)(53, 170)(54, 153)(55, 155)(56, 163)(57, 192)(58, 156)(59, 159)(60, 164)(61, 165)(62, 158)(63, 173)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E21.1996
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.1999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
Aut   = $<128, 1924>$ (small group id <128, 1924>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y1^4, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-2 * Y1^-2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2 * Y3^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^3 * Y1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, (Y1 * Y2 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 25, 89, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 26, 90, 23, 87)(9, 73, 27, 91, 19, 83, 30, 94)(11, 75, 33, 97, 20, 84, 35, 99)(14, 78, 36, 100, 49, 113, 41, 105)(15, 79, 38, 102, 17, 81, 39, 103)(18, 82, 45, 109, 22, 86, 47, 111)(24, 88, 28, 92, 50, 114, 44, 108)(29, 93, 52, 116, 31, 95, 53, 117)(32, 96, 57, 121, 34, 98, 59, 123)(37, 101, 51, 115, 43, 107, 56, 120)(40, 104, 58, 122, 42, 106, 60, 124)(46, 110, 54, 118, 48, 112, 55, 119)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 142, 206, 158, 222, 184, 248, 163, 227, 152, 216, 134, 198)(130, 194, 137, 201, 156, 220, 141, 205, 165, 229, 149, 213, 164, 228, 139, 203)(132, 196, 146, 210, 174, 238, 187, 251, 192, 256, 180, 244, 168, 232, 145, 209)(133, 197, 147, 211, 172, 236, 144, 208, 171, 235, 151, 215, 169, 233, 148, 212)(135, 199, 150, 214, 176, 240, 185, 249, 191, 255, 181, 245, 170, 234, 143, 207)(136, 200, 153, 217, 177, 241, 155, 219, 179, 243, 161, 225, 178, 242, 154, 218)(138, 202, 160, 224, 186, 250, 173, 237, 189, 253, 167, 231, 182, 246, 159, 223)(140, 204, 162, 226, 188, 252, 175, 239, 190, 254, 166, 230, 183, 247, 157, 221)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 157)(10, 133)(11, 162)(12, 130)(13, 166)(14, 168)(15, 153)(16, 167)(17, 131)(18, 134)(19, 159)(20, 160)(21, 175)(22, 154)(23, 173)(24, 174)(25, 145)(26, 146)(27, 180)(28, 182)(29, 147)(30, 181)(31, 137)(32, 139)(33, 187)(34, 148)(35, 185)(36, 186)(37, 189)(38, 144)(39, 141)(40, 177)(41, 188)(42, 142)(43, 190)(44, 183)(45, 149)(46, 178)(47, 151)(48, 152)(49, 170)(50, 176)(51, 191)(52, 158)(53, 155)(54, 172)(55, 156)(56, 192)(57, 161)(58, 169)(59, 163)(60, 164)(61, 171)(62, 165)(63, 184)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.1994
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1931>$ (small group id <128, 1931>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2, (Y3 * Y2)^4, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 25, 89)(11, 75, 27, 91)(13, 77, 32, 96)(14, 78, 22, 86)(16, 80, 29, 93)(18, 82, 35, 99)(19, 83, 37, 101)(21, 85, 42, 106)(24, 88, 39, 103)(26, 90, 48, 112)(28, 92, 45, 109)(30, 94, 53, 117)(31, 95, 54, 118)(33, 97, 44, 108)(34, 98, 43, 107)(36, 100, 58, 122)(38, 102, 55, 119)(40, 104, 63, 127)(41, 105, 64, 128)(46, 110, 61, 125)(47, 111, 62, 126)(49, 113, 59, 123)(50, 114, 60, 124)(51, 115, 56, 120)(52, 116, 57, 121)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 150, 214)(138, 202, 154, 218)(139, 203, 156, 220)(140, 204, 157, 221)(142, 206, 145, 209)(143, 207, 160, 224)(146, 210, 164, 228)(147, 211, 166, 230)(148, 212, 167, 231)(151, 215, 170, 234)(153, 217, 173, 237)(155, 219, 176, 240)(158, 222, 175, 239)(159, 223, 174, 238)(161, 225, 177, 241)(162, 226, 178, 242)(163, 227, 183, 247)(165, 229, 186, 250)(168, 232, 185, 249)(169, 233, 184, 248)(171, 235, 187, 251)(172, 236, 188, 252)(179, 243, 191, 255)(180, 244, 192, 256)(181, 245, 189, 253)(182, 246, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 147)(10, 145)(11, 131)(12, 158)(13, 161)(14, 133)(15, 159)(16, 162)(17, 139)(18, 137)(19, 134)(20, 168)(21, 171)(22, 136)(23, 169)(24, 172)(25, 174)(26, 177)(27, 175)(28, 178)(29, 179)(30, 143)(31, 140)(32, 180)(33, 144)(34, 141)(35, 184)(36, 187)(37, 185)(38, 188)(39, 189)(40, 151)(41, 148)(42, 190)(43, 152)(44, 149)(45, 192)(46, 155)(47, 153)(48, 191)(49, 156)(50, 154)(51, 160)(52, 157)(53, 183)(54, 186)(55, 182)(56, 165)(57, 163)(58, 181)(59, 166)(60, 164)(61, 170)(62, 167)(63, 173)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2011
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2001 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1931>$ (small group id <128, 1931>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, (Y3 * Y2)^4, (Y2 * R * Y2 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 26, 90)(11, 75, 29, 93)(13, 77, 33, 97)(14, 78, 22, 86)(16, 80, 35, 99)(18, 82, 37, 101)(19, 83, 40, 104)(21, 85, 44, 108)(24, 88, 46, 110)(25, 89, 36, 100)(27, 91, 49, 113)(28, 92, 45, 109)(30, 94, 51, 115)(31, 95, 52, 116)(32, 96, 54, 118)(34, 98, 39, 103)(38, 102, 58, 122)(41, 105, 60, 124)(42, 106, 61, 125)(43, 107, 63, 127)(47, 111, 57, 121)(48, 112, 56, 120)(50, 114, 59, 123)(53, 117, 64, 128)(55, 119, 62, 126)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 155, 219)(139, 203, 158, 222)(140, 204, 157, 221)(142, 206, 156, 220)(143, 207, 154, 218)(145, 209, 164, 228)(146, 210, 166, 230)(147, 211, 169, 233)(148, 212, 168, 232)(150, 214, 167, 231)(151, 215, 165, 229)(159, 223, 181, 245)(160, 224, 183, 247)(161, 225, 179, 243)(162, 226, 178, 242)(163, 227, 177, 241)(170, 234, 190, 254)(171, 235, 192, 256)(172, 236, 188, 252)(173, 237, 187, 251)(174, 238, 186, 250)(175, 239, 191, 255)(176, 240, 189, 253)(180, 244, 185, 249)(182, 246, 184, 248)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 152)(10, 156)(11, 131)(12, 159)(13, 145)(14, 133)(15, 160)(16, 162)(17, 144)(18, 167)(19, 134)(20, 170)(21, 137)(22, 136)(23, 171)(24, 173)(25, 169)(26, 175)(27, 164)(28, 139)(29, 176)(30, 178)(31, 143)(32, 140)(33, 183)(34, 141)(35, 181)(36, 158)(37, 184)(38, 153)(39, 147)(40, 185)(41, 187)(42, 151)(43, 148)(44, 192)(45, 149)(46, 190)(47, 157)(48, 154)(49, 189)(50, 155)(51, 191)(52, 188)(53, 161)(54, 186)(55, 163)(56, 168)(57, 165)(58, 180)(59, 166)(60, 182)(61, 179)(62, 172)(63, 177)(64, 174)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2010
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2002 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1920>$ (small group id <128, 1920>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y3^-1 * Y2^2 * Y3^-1, Y2^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-2 * Y1 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 45, 109)(27, 91, 48, 112)(29, 93, 49, 113)(30, 94, 50, 114)(32, 96, 52, 116)(33, 97, 51, 115)(35, 99, 53, 117)(37, 101, 56, 120)(39, 103, 57, 121)(40, 104, 58, 122)(42, 106, 60, 124)(43, 107, 59, 123)(46, 110, 55, 119)(47, 111, 54, 118)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 174, 238, 156, 220, 175, 239)(159, 223, 177, 241, 162, 226, 178, 242)(160, 224, 176, 240, 161, 225, 173, 237)(164, 228, 182, 246, 166, 230, 183, 247)(169, 233, 185, 249, 172, 236, 186, 250)(170, 234, 184, 248, 171, 235, 181, 245)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 167)(26, 145)(27, 168)(28, 139)(29, 165)(30, 163)(31, 179)(32, 144)(33, 143)(34, 180)(35, 157)(36, 152)(37, 158)(38, 146)(39, 155)(40, 153)(41, 187)(42, 151)(43, 150)(44, 188)(45, 186)(46, 189)(47, 190)(48, 185)(49, 181)(50, 184)(51, 162)(52, 159)(53, 178)(54, 191)(55, 192)(56, 177)(57, 173)(58, 176)(59, 172)(60, 169)(61, 175)(62, 174)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2006
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1926>$ (small group id <128, 1926>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y2^-2 * Y1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y1 * Y2^2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 29, 93)(14, 78, 34, 98)(15, 79, 31, 95)(16, 80, 28, 92)(17, 81, 25, 89)(19, 83, 27, 91)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(35, 99, 59, 123)(36, 100, 60, 124)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 53, 117)(40, 104, 58, 122)(41, 105, 51, 115)(42, 106, 55, 119)(43, 107, 54, 118)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(47, 111, 62, 126)(48, 112, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 189, 253, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 192, 256, 185, 249)(172, 236, 187, 251, 174, 238, 188, 252)(184, 248, 190, 254, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 162)(12, 165)(13, 168)(14, 131)(15, 158)(16, 134)(17, 151)(18, 161)(19, 173)(20, 133)(21, 172)(22, 174)(23, 150)(24, 177)(25, 180)(26, 135)(27, 146)(28, 138)(29, 139)(30, 149)(31, 185)(32, 137)(33, 184)(34, 186)(35, 179)(36, 181)(37, 189)(38, 140)(39, 188)(40, 142)(41, 187)(42, 175)(43, 176)(44, 143)(45, 148)(46, 145)(47, 167)(48, 169)(49, 192)(50, 152)(51, 191)(52, 154)(53, 190)(54, 163)(55, 164)(56, 155)(57, 160)(58, 157)(59, 171)(60, 170)(61, 166)(62, 183)(63, 182)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2007
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 2050>$ (small group id <128, 2050>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, Y2^4, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 35, 99)(27, 91, 37, 101)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 62, 126)(43, 107, 61, 125)(45, 109, 56, 120)(46, 110, 55, 119)(47, 111, 58, 122)(48, 112, 57, 121)(49, 113, 59, 123)(50, 114, 60, 124)(53, 117, 63, 127)(54, 118, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 174, 238, 162, 226, 173, 237)(160, 224, 181, 245, 161, 225, 182, 246)(164, 228, 185, 249, 166, 230, 186, 250)(169, 233, 184, 248, 172, 236, 183, 247)(170, 234, 191, 255, 171, 235, 192, 256)(177, 241, 189, 253, 178, 242, 190, 254)(179, 243, 188, 252, 180, 244, 187, 251)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 183)(36, 152)(37, 184)(38, 146)(39, 187)(40, 188)(41, 189)(42, 151)(43, 150)(44, 190)(45, 155)(46, 153)(47, 191)(48, 192)(49, 158)(50, 157)(51, 162)(52, 159)(53, 186)(54, 185)(55, 165)(56, 163)(57, 181)(58, 182)(59, 168)(60, 167)(61, 172)(62, 169)(63, 176)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2008
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 2057>$ (small group id <128, 2057>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y3^4, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, (Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^2 * Y1, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y2^2 * Y3^2)^2, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 31, 95)(14, 78, 32, 96)(15, 79, 29, 93)(16, 80, 28, 92)(17, 81, 27, 91)(19, 83, 25, 89)(20, 84, 26, 90)(21, 85, 34, 98)(22, 86, 33, 97)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 53, 117)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 156, 220, 146, 210, 163, 227)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 158, 222, 174, 238, 151, 215)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 188, 252, 172, 236, 186, 250)(171, 235, 187, 251, 173, 237, 185, 249)(181, 245, 192, 256, 183, 247, 190, 254)(182, 246, 191, 255, 184, 248, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 160)(12, 164)(13, 158)(14, 131)(15, 170)(16, 134)(17, 172)(18, 154)(19, 151)(20, 133)(21, 171)(22, 173)(23, 148)(24, 175)(25, 146)(26, 135)(27, 181)(28, 138)(29, 183)(30, 142)(31, 139)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2009
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1920>$ (small group id <128, 1920>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y1)^2, Y3^4, R * Y3 * Y2 * Y3^-1 * R * Y2, Y2 * Y1^-2 * Y2 * Y1^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^-2 * Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y3^-1 * Y1^2 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-3, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 44, 108, 42, 106, 18, 82, 5, 69)(3, 67, 11, 75, 21, 85, 48, 112, 62, 126, 56, 120, 35, 99, 13, 77)(4, 68, 15, 79, 37, 101, 60, 124, 63, 127, 46, 110, 22, 86, 9, 73)(6, 70, 19, 83, 43, 107, 59, 123, 64, 128, 47, 111, 23, 87, 10, 74)(8, 72, 24, 88, 45, 109, 33, 97, 61, 125, 41, 105, 17, 81, 26, 90)(12, 76, 32, 96, 54, 118, 27, 91, 58, 122, 38, 102, 49, 113, 30, 94)(14, 78, 36, 100, 53, 117, 25, 89, 55, 119, 40, 104, 50, 114, 31, 95)(16, 80, 28, 92, 51, 115, 34, 98, 57, 121, 29, 93, 52, 116, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 157, 221)(141, 205, 162, 226)(143, 207, 166, 230)(144, 208, 161, 225)(146, 210, 163, 227)(147, 211, 168, 232)(148, 212, 173, 237)(150, 214, 178, 242)(151, 215, 177, 241)(152, 216, 180, 244)(154, 218, 185, 249)(156, 220, 184, 248)(158, 222, 188, 252)(159, 223, 187, 251)(160, 224, 174, 238)(164, 228, 175, 239)(165, 229, 181, 245)(167, 231, 176, 240)(169, 233, 179, 243)(170, 234, 189, 253)(171, 235, 182, 246)(172, 236, 190, 254)(183, 247, 191, 255)(186, 250, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 158)(12, 161)(13, 160)(14, 131)(15, 167)(16, 134)(17, 168)(18, 165)(19, 133)(20, 174)(21, 177)(22, 179)(23, 135)(24, 181)(25, 184)(26, 183)(27, 136)(28, 138)(29, 187)(30, 189)(31, 139)(32, 173)(33, 142)(34, 175)(35, 182)(36, 141)(37, 180)(38, 145)(39, 147)(40, 176)(41, 178)(42, 188)(43, 146)(44, 191)(45, 164)(46, 162)(47, 148)(48, 166)(49, 169)(50, 149)(51, 151)(52, 171)(53, 163)(54, 152)(55, 190)(56, 155)(57, 192)(58, 154)(59, 170)(60, 157)(61, 159)(62, 186)(63, 185)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2002
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1926>$ (small group id <128, 1926>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1^-2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 50, 114, 48, 112, 20, 84, 5, 69)(3, 67, 11, 75, 25, 89, 52, 116, 64, 128, 59, 123, 44, 108, 13, 77)(4, 68, 15, 79, 34, 98, 9, 73, 32, 96, 19, 83, 26, 90, 17, 81)(6, 70, 22, 86, 36, 100, 10, 74, 35, 99, 21, 85, 27, 91, 23, 87)(8, 72, 28, 92, 51, 115, 41, 105, 63, 127, 49, 113, 18, 82, 30, 94)(12, 76, 40, 104, 58, 122, 38, 102, 62, 126, 43, 107, 53, 117, 31, 95)(14, 78, 46, 110, 57, 121, 39, 103, 61, 125, 45, 109, 54, 118, 29, 93)(16, 80, 33, 97, 55, 119, 42, 106, 60, 124, 37, 101, 56, 120, 47, 111)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 165, 229)(141, 205, 170, 234)(143, 207, 171, 235)(144, 208, 169, 233)(145, 209, 166, 230)(147, 211, 168, 232)(148, 212, 172, 236)(149, 213, 174, 238)(150, 214, 173, 237)(151, 215, 167, 231)(152, 216, 179, 243)(154, 218, 182, 246)(155, 219, 181, 245)(156, 220, 184, 248)(158, 222, 188, 252)(160, 224, 189, 253)(161, 225, 187, 251)(162, 226, 185, 249)(163, 227, 190, 254)(164, 228, 186, 250)(175, 239, 180, 244)(176, 240, 191, 255)(177, 241, 183, 247)(178, 242, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 166)(12, 169)(13, 171)(14, 131)(15, 170)(16, 134)(17, 165)(18, 174)(19, 175)(20, 162)(21, 133)(22, 152)(23, 176)(24, 143)(25, 181)(26, 183)(27, 135)(28, 185)(29, 187)(30, 189)(31, 136)(32, 188)(33, 138)(34, 184)(35, 178)(36, 148)(37, 151)(38, 191)(39, 139)(40, 146)(41, 142)(42, 150)(43, 179)(44, 186)(45, 141)(46, 180)(47, 149)(48, 145)(49, 182)(50, 160)(51, 173)(52, 168)(53, 177)(54, 153)(55, 155)(56, 164)(57, 172)(58, 156)(59, 159)(60, 163)(61, 192)(62, 158)(63, 167)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2003
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 2050>$ (small group id <128, 2050>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y3^4, Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y3 * R * Y2)^2, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^3 * Y2, Y2 * Y3 * Y1^-2 * Y3 * Y1 * Y2 * Y1^-1, Y1^8, Y1^2 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 20, 84, 44, 108, 42, 106, 18, 82, 5, 69)(3, 67, 11, 75, 29, 93, 56, 120, 62, 126, 49, 113, 21, 85, 13, 77)(4, 68, 15, 79, 37, 101, 59, 123, 63, 127, 46, 110, 22, 86, 9, 73)(6, 70, 19, 83, 43, 107, 61, 125, 64, 128, 47, 111, 23, 87, 10, 74)(8, 72, 24, 88, 17, 81, 40, 104, 60, 124, 34, 98, 45, 109, 26, 90)(12, 76, 33, 97, 48, 112, 38, 102, 54, 118, 27, 91, 58, 122, 31, 95)(14, 78, 36, 100, 50, 114, 41, 105, 53, 117, 25, 89, 55, 119, 32, 96)(16, 80, 28, 92, 51, 115, 30, 94, 52, 116, 35, 99, 57, 121, 39, 103)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 149, 213)(137, 201, 155, 219)(138, 202, 153, 217)(139, 203, 158, 222)(141, 205, 163, 227)(143, 207, 166, 230)(144, 208, 162, 226)(146, 210, 157, 221)(147, 211, 169, 233)(148, 212, 173, 237)(150, 214, 178, 242)(151, 215, 176, 240)(152, 216, 180, 244)(154, 218, 185, 249)(156, 220, 184, 248)(159, 223, 174, 238)(160, 224, 175, 239)(161, 225, 187, 251)(164, 228, 189, 253)(165, 229, 183, 247)(167, 231, 177, 241)(168, 232, 179, 243)(170, 234, 188, 252)(171, 235, 186, 250)(172, 236, 190, 254)(181, 245, 191, 255)(182, 246, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 143)(6, 129)(7, 150)(8, 153)(9, 156)(10, 130)(11, 159)(12, 162)(13, 161)(14, 131)(15, 167)(16, 134)(17, 169)(18, 165)(19, 133)(20, 174)(21, 176)(22, 179)(23, 135)(24, 181)(25, 184)(26, 183)(27, 136)(28, 138)(29, 186)(30, 175)(31, 173)(32, 139)(33, 188)(34, 142)(35, 189)(36, 141)(37, 185)(38, 145)(39, 147)(40, 178)(41, 177)(42, 187)(43, 146)(44, 191)(45, 160)(46, 158)(47, 148)(48, 168)(49, 166)(50, 149)(51, 151)(52, 192)(53, 190)(54, 152)(55, 157)(56, 155)(57, 171)(58, 154)(59, 163)(60, 164)(61, 170)(62, 182)(63, 180)(64, 172)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2004
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 2057>$ (small group id <128, 2057>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y3^-1 * Y1^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y2 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y1^-3 * Y3 * Y1 * Y3^-1, Y1 * R * Y2 * R * Y1 * Y2, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 24, 88, 49, 113, 47, 111, 20, 84, 5, 69)(3, 67, 11, 75, 37, 101, 61, 125, 63, 127, 52, 116, 25, 89, 13, 77)(4, 68, 15, 79, 34, 98, 9, 73, 32, 96, 19, 83, 26, 90, 17, 81)(6, 70, 22, 86, 36, 100, 10, 74, 35, 99, 21, 85, 27, 91, 23, 87)(8, 72, 28, 92, 18, 82, 48, 112, 62, 126, 64, 128, 50, 114, 30, 94)(12, 76, 41, 105, 51, 115, 39, 103, 58, 122, 31, 95, 57, 121, 42, 106)(14, 78, 43, 107, 53, 117, 40, 104, 56, 120, 29, 93, 55, 119, 44, 108)(16, 80, 33, 97, 54, 118, 45, 109, 59, 123, 46, 110, 60, 124, 38, 102)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 153, 217)(137, 201, 159, 223)(138, 202, 157, 221)(139, 203, 166, 230)(141, 205, 161, 225)(143, 207, 170, 234)(144, 208, 156, 220)(145, 209, 169, 233)(147, 211, 167, 231)(148, 212, 165, 229)(149, 213, 168, 232)(150, 214, 172, 236)(151, 215, 171, 235)(152, 216, 178, 242)(154, 218, 181, 245)(155, 219, 179, 243)(158, 222, 182, 246)(160, 224, 184, 248)(162, 226, 183, 247)(163, 227, 186, 250)(164, 228, 185, 249)(173, 237, 180, 244)(174, 238, 189, 253)(175, 239, 190, 254)(176, 240, 188, 252)(177, 241, 191, 255)(187, 251, 192, 256)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 161)(10, 130)(11, 167)(12, 156)(13, 159)(14, 131)(15, 173)(16, 134)(17, 174)(18, 168)(19, 166)(20, 162)(21, 133)(22, 152)(23, 175)(24, 143)(25, 179)(26, 182)(27, 135)(28, 142)(29, 141)(30, 181)(31, 136)(32, 187)(33, 138)(34, 188)(35, 177)(36, 148)(37, 185)(38, 149)(39, 146)(40, 139)(41, 190)(42, 178)(43, 189)(44, 180)(45, 150)(46, 151)(47, 145)(48, 183)(49, 160)(50, 172)(51, 158)(52, 170)(53, 153)(54, 155)(55, 165)(56, 191)(57, 176)(58, 192)(59, 163)(60, 164)(61, 169)(62, 171)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2005
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1931>$ (small group id <128, 1931>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1)^2, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1)^2, Y3^4, Y1^4, (R * Y2 * Y3^-1)^2, Y2^3 * Y3 * Y2^-1 * Y3^-1 * Y1^-2, Y2^8, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 11, 75, 24, 88, 15, 79)(4, 68, 17, 81, 25, 89, 12, 76)(6, 70, 9, 73, 26, 90, 20, 84)(7, 71, 21, 85, 27, 91, 10, 74)(13, 77, 34, 98, 50, 114, 37, 101)(14, 78, 39, 103, 51, 115, 31, 95)(16, 80, 41, 105, 52, 116, 33, 97)(18, 82, 42, 106, 53, 117, 29, 93)(19, 83, 32, 96, 54, 118, 43, 107)(22, 86, 47, 111, 55, 119, 30, 94)(23, 87, 28, 92, 56, 120, 46, 110)(35, 99, 64, 128, 45, 109, 60, 124)(36, 100, 58, 122, 48, 112, 63, 127)(38, 102, 59, 123, 44, 108, 61, 125)(40, 104, 62, 126, 49, 113, 57, 121)(129, 193, 131, 195, 141, 205, 163, 227, 182, 246, 177, 241, 151, 215, 134, 198)(130, 194, 137, 201, 156, 220, 185, 249, 171, 235, 192, 256, 162, 226, 139, 203)(132, 196, 146, 210, 172, 236, 179, 243, 155, 219, 183, 247, 164, 228, 144, 208)(133, 197, 148, 212, 174, 238, 190, 254, 160, 224, 188, 252, 165, 229, 143, 207)(135, 199, 150, 214, 176, 240, 180, 244, 153, 217, 181, 245, 166, 230, 142, 206)(136, 200, 152, 216, 178, 242, 173, 237, 147, 211, 168, 232, 184, 248, 154, 218)(138, 202, 159, 223, 189, 253, 170, 234, 145, 209, 169, 233, 186, 250, 158, 222)(140, 204, 161, 225, 191, 255, 175, 239, 149, 213, 167, 231, 187, 251, 157, 221)
	L = (1, 132)(2, 138)(3, 142)(4, 147)(5, 149)(6, 150)(7, 129)(8, 153)(9, 157)(10, 160)(11, 161)(12, 130)(13, 164)(14, 168)(15, 169)(16, 131)(17, 133)(18, 134)(19, 135)(20, 170)(21, 171)(22, 173)(23, 172)(24, 179)(25, 182)(26, 183)(27, 136)(28, 186)(29, 188)(30, 137)(31, 139)(32, 140)(33, 190)(34, 189)(35, 181)(36, 184)(37, 187)(38, 141)(39, 143)(40, 144)(41, 185)(42, 192)(43, 145)(44, 178)(45, 146)(46, 191)(47, 148)(48, 151)(49, 180)(50, 176)(51, 177)(52, 152)(53, 154)(54, 155)(55, 163)(56, 166)(57, 167)(58, 165)(59, 156)(60, 158)(61, 174)(62, 159)(63, 162)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2001
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
Aut   = $<128, 1931>$ (small group id <128, 1931>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3^4, Y1^4, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * R * Y2 * R * Y1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-2 * Y2 * Y1^-1 * Y2, Y2^3 * Y1 * Y2^-1 * Y1^-1, (Y1 * Y2 * Y1^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 24, 88, 30, 94, 26, 90)(7, 71, 22, 86, 31, 95, 10, 74)(9, 73, 32, 96, 21, 85, 35, 99)(11, 75, 39, 103, 23, 87, 41, 105)(14, 78, 42, 106, 54, 118, 47, 111)(15, 79, 40, 104, 55, 119, 45, 109)(17, 81, 37, 101, 56, 120, 44, 108)(19, 83, 36, 100, 57, 121, 52, 116)(20, 84, 38, 102, 58, 122, 43, 107)(25, 89, 34, 98, 59, 123, 50, 114)(27, 91, 33, 97, 60, 124, 49, 113)(46, 110, 61, 125, 53, 117, 64, 128)(48, 112, 62, 126, 51, 115, 63, 127)(129, 193, 131, 195, 142, 206, 163, 227, 186, 250, 169, 233, 155, 219, 134, 198)(130, 194, 137, 201, 161, 225, 141, 205, 171, 235, 152, 216, 170, 234, 139, 203)(132, 196, 147, 211, 179, 243, 183, 247, 159, 223, 187, 251, 174, 238, 145, 209)(133, 197, 149, 213, 177, 241, 144, 208, 166, 230, 154, 218, 175, 239, 151, 215)(135, 199, 153, 217, 181, 245, 184, 248, 157, 221, 185, 249, 176, 240, 143, 207)(136, 200, 156, 220, 182, 246, 160, 224, 148, 212, 167, 231, 188, 252, 158, 222)(138, 202, 165, 229, 191, 255, 178, 242, 146, 210, 173, 237, 189, 253, 164, 228)(140, 204, 168, 232, 192, 256, 180, 244, 150, 214, 172, 236, 190, 254, 162, 226)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 157)(9, 162)(10, 166)(11, 168)(12, 130)(13, 172)(14, 174)(15, 167)(16, 165)(17, 131)(18, 133)(19, 134)(20, 135)(21, 178)(22, 171)(23, 173)(24, 180)(25, 160)(26, 164)(27, 179)(28, 183)(29, 186)(30, 187)(31, 136)(32, 147)(33, 189)(34, 154)(35, 185)(36, 137)(37, 139)(38, 140)(39, 145)(40, 144)(41, 184)(42, 191)(43, 146)(44, 151)(45, 141)(46, 188)(47, 190)(48, 142)(49, 192)(50, 152)(51, 182)(52, 149)(53, 155)(54, 181)(55, 169)(56, 156)(57, 158)(58, 159)(59, 163)(60, 176)(61, 175)(62, 161)(63, 177)(64, 170)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2000
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 174>)
Aut   = $<128, 1876>$ (small group id <128, 1876>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^4, (R * Y2)^2, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 18, 82)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 24, 88)(15, 79, 20, 84)(16, 80, 19, 83)(17, 81, 21, 85)(25, 89, 34, 98)(26, 90, 33, 97)(27, 91, 39, 103)(28, 92, 38, 102)(29, 93, 40, 104)(30, 94, 36, 100)(31, 95, 35, 99)(32, 96, 37, 101)(41, 105, 49, 113)(42, 106, 48, 112)(43, 107, 54, 118)(44, 108, 53, 117)(45, 109, 52, 116)(46, 110, 51, 115)(47, 111, 50, 114)(55, 119, 60, 124)(56, 120, 59, 123)(57, 121, 62, 126)(58, 122, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 146, 210, 137, 201)(132, 196, 140, 204, 153, 217, 143, 207)(134, 198, 141, 205, 154, 218, 144, 208)(136, 200, 147, 211, 161, 225, 150, 214)(138, 202, 148, 212, 162, 226, 151, 215)(142, 206, 155, 219, 169, 233, 158, 222)(145, 209, 156, 220, 170, 234, 159, 223)(149, 213, 163, 227, 176, 240, 166, 230)(152, 216, 164, 228, 177, 241, 167, 231)(157, 221, 171, 235, 183, 247, 174, 238)(160, 224, 172, 236, 184, 248, 175, 239)(165, 229, 178, 242, 187, 251, 181, 245)(168, 232, 179, 243, 188, 252, 182, 246)(173, 237, 185, 249, 191, 255, 186, 250)(180, 244, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 147)(8, 149)(9, 150)(10, 130)(11, 153)(12, 155)(13, 131)(14, 157)(15, 158)(16, 133)(17, 134)(18, 161)(19, 163)(20, 135)(21, 165)(22, 166)(23, 137)(24, 138)(25, 169)(26, 139)(27, 171)(28, 141)(29, 173)(30, 174)(31, 144)(32, 145)(33, 176)(34, 146)(35, 178)(36, 148)(37, 180)(38, 181)(39, 151)(40, 152)(41, 183)(42, 154)(43, 185)(44, 156)(45, 160)(46, 186)(47, 159)(48, 187)(49, 162)(50, 189)(51, 164)(52, 168)(53, 190)(54, 167)(55, 191)(56, 170)(57, 172)(58, 175)(59, 192)(60, 177)(61, 179)(62, 182)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2013
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 174>)
Aut   = $<128, 1876>$ (small group id <128, 1876>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^4, Y3^-4 * Y1^4, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 19, 83, 39, 103, 35, 99, 16, 80, 5, 69)(3, 67, 11, 75, 27, 91, 51, 115, 58, 122, 40, 104, 20, 84, 8, 72)(4, 68, 9, 73, 21, 85, 41, 105, 38, 102, 50, 114, 34, 98, 15, 79)(6, 70, 10, 74, 22, 86, 42, 106, 32, 96, 49, 113, 36, 100, 17, 81)(12, 76, 28, 92, 52, 116, 64, 128, 57, 121, 59, 123, 43, 107, 23, 87)(13, 77, 29, 93, 53, 117, 63, 127, 56, 120, 60, 124, 44, 108, 24, 88)(14, 78, 25, 89, 45, 109, 37, 101, 18, 82, 26, 90, 46, 110, 33, 97)(30, 94, 54, 118, 62, 126, 48, 112, 31, 95, 55, 119, 61, 125, 47, 111)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 148, 212)(137, 201, 152, 216)(138, 202, 151, 215)(142, 206, 159, 223)(143, 207, 157, 221)(144, 208, 155, 219)(145, 209, 156, 220)(146, 210, 158, 222)(147, 211, 168, 232)(149, 213, 172, 236)(150, 214, 171, 235)(153, 217, 176, 240)(154, 218, 175, 239)(160, 224, 185, 249)(161, 225, 183, 247)(162, 226, 181, 245)(163, 227, 179, 243)(164, 228, 180, 244)(165, 229, 182, 246)(166, 230, 184, 248)(167, 231, 186, 250)(169, 233, 188, 252)(170, 234, 187, 251)(173, 237, 190, 254)(174, 238, 189, 253)(177, 241, 192, 256)(178, 242, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 142)(5, 143)(6, 129)(7, 149)(8, 151)(9, 153)(10, 130)(11, 156)(12, 158)(13, 131)(14, 160)(15, 161)(16, 162)(17, 133)(18, 134)(19, 169)(20, 171)(21, 173)(22, 135)(23, 175)(24, 136)(25, 177)(26, 138)(27, 180)(28, 182)(29, 139)(30, 184)(31, 141)(32, 167)(33, 170)(34, 174)(35, 178)(36, 144)(37, 145)(38, 146)(39, 166)(40, 187)(41, 165)(42, 147)(43, 189)(44, 148)(45, 164)(46, 150)(47, 191)(48, 152)(49, 163)(50, 154)(51, 192)(52, 190)(53, 155)(54, 188)(55, 157)(56, 186)(57, 159)(58, 185)(59, 183)(60, 168)(61, 181)(62, 172)(63, 179)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2012
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 176>)
Aut   = $<128, 1887>$ (small group id <128, 1887>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^3 * Y1, Y3 * Y2^-1 * Y3 * Y1 * Y3^-2 * Y2^-1 * Y1, (Y2^-1 * Y1)^4, Y2^-1 * Y3^-1 * Y1 * Y3^3 * Y2^-1 * Y1, Y3^2 * Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 39, 103)(18, 82, 40, 104)(19, 83, 24, 88)(22, 86, 46, 110)(23, 87, 44, 108)(25, 89, 53, 117)(27, 91, 54, 118)(29, 93, 43, 107)(31, 95, 45, 109)(33, 97, 48, 112)(34, 98, 47, 111)(35, 99, 52, 116)(36, 100, 55, 119)(37, 101, 56, 120)(38, 102, 49, 113)(41, 105, 50, 114)(42, 106, 51, 115)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 141, 205, 161, 225, 144, 208)(134, 198, 142, 206, 162, 226, 146, 210)(136, 200, 150, 214, 175, 239, 153, 217)(138, 202, 151, 215, 176, 240, 155, 219)(139, 203, 157, 221, 145, 209, 159, 223)(143, 207, 163, 227, 187, 251, 166, 230)(147, 211, 164, 228, 188, 252, 169, 233)(148, 212, 171, 235, 154, 218, 173, 237)(152, 216, 177, 241, 191, 255, 180, 244)(156, 220, 178, 242, 192, 256, 183, 247)(158, 222, 184, 248, 168, 232, 185, 249)(160, 224, 179, 243, 167, 231, 186, 250)(165, 229, 181, 245, 190, 254, 174, 238)(170, 234, 182, 246, 189, 253, 172, 236)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 150)(8, 152)(9, 153)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 165)(16, 166)(17, 168)(18, 133)(19, 134)(20, 172)(21, 175)(22, 177)(23, 135)(24, 179)(25, 180)(26, 182)(27, 137)(28, 138)(29, 184)(30, 183)(31, 185)(32, 139)(33, 187)(34, 140)(35, 181)(36, 142)(37, 171)(38, 174)(39, 145)(40, 178)(41, 146)(42, 147)(43, 170)(44, 169)(45, 189)(46, 148)(47, 191)(48, 149)(49, 167)(50, 151)(51, 157)(52, 160)(53, 154)(54, 164)(55, 155)(56, 156)(57, 192)(58, 159)(59, 190)(60, 162)(61, 188)(62, 173)(63, 186)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2015
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 176>)
Aut   = $<128, 1887>$ (small group id <128, 1887>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, (Y1^-1 * Y3^-1)^4, Y3^-2 * Y2 * R * Y1 * Y2 * R * Y1^-1, Y3^-4 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 21, 85, 46, 110, 35, 99, 18, 82, 5, 69)(3, 67, 11, 75, 27, 91, 8, 72, 25, 89, 17, 81, 22, 86, 13, 77)(4, 68, 9, 73, 23, 87, 47, 111, 45, 109, 60, 124, 41, 105, 16, 80)(6, 70, 10, 74, 24, 88, 48, 112, 38, 102, 59, 123, 43, 107, 19, 83)(12, 76, 31, 95, 56, 120, 26, 90, 53, 117, 42, 106, 49, 113, 34, 98)(14, 78, 32, 96, 57, 121, 28, 92, 54, 118, 40, 104, 50, 114, 36, 100)(15, 79, 29, 93, 51, 115, 44, 108, 20, 84, 30, 94, 52, 116, 39, 103)(33, 97, 61, 125, 64, 128, 55, 119, 37, 101, 62, 126, 63, 127, 58, 122)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 145, 209)(134, 198, 140, 204)(135, 199, 150, 214)(137, 201, 156, 220)(138, 202, 154, 218)(139, 203, 149, 213)(141, 205, 163, 227)(143, 207, 165, 229)(144, 208, 168, 232)(146, 210, 155, 219)(147, 211, 170, 234)(148, 212, 161, 225)(151, 215, 178, 242)(152, 216, 177, 241)(153, 217, 174, 238)(157, 221, 186, 250)(158, 222, 183, 247)(159, 223, 176, 240)(160, 224, 175, 239)(162, 226, 187, 251)(164, 228, 188, 252)(166, 230, 181, 245)(167, 231, 189, 253)(169, 233, 185, 249)(171, 235, 184, 248)(172, 236, 190, 254)(173, 237, 182, 246)(179, 243, 192, 256)(180, 244, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 144)(6, 129)(7, 151)(8, 154)(9, 157)(10, 130)(11, 159)(12, 161)(13, 162)(14, 131)(15, 166)(16, 167)(17, 170)(18, 169)(19, 133)(20, 134)(21, 175)(22, 177)(23, 179)(24, 135)(25, 181)(26, 183)(27, 184)(28, 136)(29, 187)(30, 138)(31, 189)(32, 139)(33, 182)(34, 186)(35, 188)(36, 141)(37, 142)(38, 174)(39, 176)(40, 145)(41, 180)(42, 190)(43, 146)(44, 147)(45, 148)(46, 173)(47, 172)(48, 149)(49, 191)(50, 150)(51, 171)(52, 152)(53, 165)(54, 153)(55, 164)(56, 192)(57, 155)(58, 156)(59, 163)(60, 158)(61, 168)(62, 160)(63, 185)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2014
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (R * Y2 * Y1 * Y2)^2, (Y3 * Y2)^4, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 33, 97)(18, 82, 37, 101)(19, 83, 39, 103)(20, 84, 41, 105)(22, 86, 45, 109)(23, 87, 46, 110)(24, 88, 48, 112)(26, 90, 52, 116)(27, 91, 54, 118)(28, 92, 56, 120)(30, 94, 60, 124)(32, 96, 58, 122)(34, 98, 50, 114)(35, 99, 49, 113)(36, 100, 57, 121)(38, 102, 53, 117)(40, 104, 59, 123)(42, 106, 51, 115)(43, 107, 47, 111)(44, 108, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 162, 226)(145, 209, 163, 227)(148, 212, 170, 234)(149, 213, 171, 235)(150, 214, 166, 230)(152, 216, 177, 241)(153, 217, 178, 242)(156, 220, 185, 249)(157, 221, 186, 250)(158, 222, 181, 245)(159, 223, 183, 247)(160, 224, 176, 240)(161, 225, 175, 239)(164, 228, 190, 254)(165, 229, 182, 246)(167, 231, 180, 244)(168, 232, 174, 238)(169, 233, 188, 252)(172, 236, 189, 253)(173, 237, 184, 248)(179, 243, 192, 256)(187, 251, 191, 255)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 160)(16, 135)(17, 164)(18, 166)(19, 168)(20, 137)(21, 172)(22, 138)(23, 175)(24, 139)(25, 179)(26, 181)(27, 183)(28, 141)(29, 187)(30, 142)(31, 180)(32, 143)(33, 188)(34, 184)(35, 189)(36, 145)(37, 174)(38, 146)(39, 185)(40, 147)(41, 177)(42, 182)(43, 190)(44, 149)(45, 176)(46, 165)(47, 151)(48, 173)(49, 169)(50, 191)(51, 153)(52, 159)(53, 154)(54, 170)(55, 155)(56, 162)(57, 167)(58, 192)(59, 157)(60, 161)(61, 163)(62, 171)(63, 178)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2021
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1887>$ (small group id <128, 1887>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2 * Y3^-2, Y3 * Y2 * Y3^3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2^-1 * Y3^-3 * Y2 * Y3^-1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y1 * Y2, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y3^-2 * Y2^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 29, 93)(13, 77, 28, 92)(14, 78, 31, 95)(15, 79, 32, 96)(16, 80, 30, 94)(17, 81, 24, 88)(18, 82, 23, 87)(19, 83, 27, 91)(20, 84, 25, 89)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 55, 119)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 54, 118)(41, 105, 56, 120)(42, 106, 52, 116)(43, 107, 48, 112)(44, 108, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 185, 249, 170, 234)(149, 213, 168, 232, 186, 250, 171, 235)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 189, 253, 182, 246)(160, 224, 180, 244, 190, 254, 183, 247)(169, 233, 187, 251, 172, 236, 188, 252)(181, 245, 191, 255, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 168)(15, 167)(16, 171)(17, 170)(18, 133)(19, 169)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 180)(26, 179)(27, 183)(28, 182)(29, 137)(30, 181)(31, 184)(32, 138)(33, 185)(34, 139)(35, 186)(36, 147)(37, 149)(38, 187)(39, 188)(40, 141)(41, 142)(42, 148)(43, 146)(44, 144)(45, 189)(46, 150)(47, 190)(48, 158)(49, 160)(50, 191)(51, 192)(52, 152)(53, 153)(54, 159)(55, 157)(56, 155)(57, 166)(58, 162)(59, 163)(60, 165)(61, 178)(62, 174)(63, 175)(64, 177)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2019
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1880>$ (small group id <128, 1880>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3 * Y2 * Y3, (Y1 * Y2^-1 * Y3)^2, Y2^-1 * Y3^-3 * Y2 * Y3^-1, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1, (Y2 * Y3^-1 * Y2 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 34, 98)(20, 84, 28, 92)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 49, 113)(38, 102, 50, 114)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 59, 123)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 60, 124)(47, 111, 54, 118)(48, 112, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 189, 253, 175, 239)(151, 215, 174, 238, 190, 254, 176, 240)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 191, 255, 187, 251)(164, 228, 186, 250, 192, 256, 188, 252)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 167)(13, 170)(14, 131)(15, 174)(16, 173)(17, 176)(18, 156)(19, 175)(20, 133)(21, 159)(22, 152)(23, 134)(24, 145)(25, 179)(26, 182)(27, 135)(28, 186)(29, 185)(30, 188)(31, 143)(32, 187)(33, 137)(34, 146)(35, 139)(36, 138)(37, 183)(38, 181)(39, 189)(40, 140)(41, 190)(42, 149)(43, 151)(44, 178)(45, 177)(46, 142)(47, 150)(48, 148)(49, 171)(50, 169)(51, 191)(52, 153)(53, 192)(54, 162)(55, 164)(56, 166)(57, 165)(58, 155)(59, 163)(60, 161)(61, 172)(62, 168)(63, 184)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2020
Graph:: simple bipartite
	v = 48 e = 128 f = 40
	degree seq :: [ 4^32, 8^16 ]

E21.2019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1887>$ (small group id <128, 1887>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^2 * Y1^-1, Y1^2 * Y3^-1 * Y1 * Y3 * Y1, Y3^3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 23, 87, 47, 111, 44, 108, 18, 82, 5, 69)(3, 67, 11, 75, 35, 99, 59, 123, 62, 126, 48, 112, 24, 88, 8, 72)(4, 68, 14, 78, 25, 89, 17, 81, 31, 95, 9, 73, 29, 93, 16, 80)(6, 70, 20, 84, 26, 90, 19, 83, 33, 97, 10, 74, 32, 96, 21, 85)(12, 76, 38, 102, 55, 119, 27, 91, 53, 117, 36, 100, 49, 113, 40, 104)(13, 77, 41, 105, 57, 121, 28, 92, 56, 120, 37, 101, 50, 114, 42, 106)(15, 79, 30, 94, 51, 115, 46, 110, 22, 86, 34, 98, 52, 116, 45, 109)(39, 103, 60, 124, 64, 128, 58, 122, 43, 107, 61, 125, 63, 127, 54, 118)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 141, 205)(133, 197, 139, 203)(134, 198, 140, 204)(135, 199, 152, 216)(137, 201, 156, 220)(138, 202, 155, 219)(142, 206, 170, 234)(143, 207, 171, 235)(144, 208, 169, 233)(145, 209, 165, 229)(146, 210, 163, 227)(147, 211, 164, 228)(148, 212, 168, 232)(149, 213, 166, 230)(150, 214, 167, 231)(151, 215, 176, 240)(153, 217, 178, 242)(154, 218, 177, 241)(157, 221, 185, 249)(158, 222, 186, 250)(159, 223, 184, 248)(160, 224, 183, 247)(161, 225, 181, 245)(162, 226, 182, 246)(172, 236, 187, 251)(173, 237, 189, 253)(174, 238, 188, 252)(175, 239, 190, 254)(179, 243, 192, 256)(180, 244, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 143)(5, 145)(6, 129)(7, 153)(8, 155)(9, 158)(10, 130)(11, 164)(12, 167)(13, 131)(14, 162)(15, 161)(16, 174)(17, 173)(18, 157)(19, 133)(20, 172)(21, 151)(22, 134)(23, 144)(24, 177)(25, 179)(26, 135)(27, 182)(28, 136)(29, 180)(30, 148)(31, 150)(32, 146)(33, 175)(34, 138)(35, 183)(36, 188)(37, 139)(38, 189)(39, 184)(40, 186)(41, 176)(42, 187)(43, 141)(44, 142)(45, 149)(46, 147)(47, 159)(48, 166)(49, 191)(50, 152)(51, 160)(52, 154)(53, 171)(54, 170)(55, 192)(56, 190)(57, 163)(58, 156)(59, 168)(60, 169)(61, 165)(62, 181)(63, 185)(64, 178)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2017
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1880>$ (small group id <128, 1880>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-3 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1, (Y3 * Y2 * Y1^-1)^2, Y1^-3 * Y2 * Y1 * Y2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^3 * Y1^-1, Y3^-2 * Y2 * R * Y1 * Y2 * R * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 25, 89, 50, 114, 43, 107, 20, 84, 5, 69)(3, 67, 11, 75, 31, 95, 8, 72, 29, 93, 18, 82, 26, 90, 13, 77)(4, 68, 15, 79, 27, 91, 19, 83, 35, 99, 9, 73, 33, 97, 17, 81)(6, 70, 22, 86, 28, 92, 21, 85, 37, 101, 10, 74, 36, 100, 23, 87)(12, 76, 41, 105, 58, 122, 44, 108, 55, 119, 39, 103, 51, 115, 30, 94)(14, 78, 46, 110, 59, 123, 45, 109, 56, 120, 40, 104, 52, 116, 32, 96)(16, 80, 34, 98, 53, 117, 49, 113, 24, 88, 38, 102, 54, 118, 48, 112)(42, 106, 61, 125, 64, 128, 57, 121, 47, 111, 62, 126, 63, 127, 60, 124)(129, 193, 131, 195)(130, 194, 136, 200)(132, 196, 142, 206)(133, 197, 146, 210)(134, 198, 140, 204)(135, 199, 154, 218)(137, 201, 160, 224)(138, 202, 158, 222)(139, 203, 153, 217)(141, 205, 171, 235)(143, 207, 173, 237)(144, 208, 175, 239)(145, 209, 168, 232)(147, 211, 174, 238)(148, 212, 159, 223)(149, 213, 169, 233)(150, 214, 172, 236)(151, 215, 167, 231)(152, 216, 170, 234)(155, 219, 180, 244)(156, 220, 179, 243)(157, 221, 178, 242)(161, 225, 187, 251)(162, 226, 188, 252)(163, 227, 184, 248)(164, 228, 186, 250)(165, 229, 183, 247)(166, 230, 185, 249)(176, 240, 189, 253)(177, 241, 190, 254)(181, 245, 192, 256)(182, 246, 191, 255)
	L = (1, 132)(2, 137)(3, 140)(4, 144)(5, 147)(6, 129)(7, 155)(8, 158)(9, 162)(10, 130)(11, 167)(12, 170)(13, 172)(14, 131)(15, 166)(16, 165)(17, 177)(18, 169)(19, 176)(20, 161)(21, 133)(22, 171)(23, 153)(24, 134)(25, 145)(26, 179)(27, 181)(28, 135)(29, 183)(30, 185)(31, 186)(32, 136)(33, 182)(34, 150)(35, 152)(36, 148)(37, 178)(38, 138)(39, 189)(40, 139)(41, 190)(42, 184)(43, 143)(44, 188)(45, 141)(46, 146)(47, 142)(48, 151)(49, 149)(50, 163)(51, 191)(52, 154)(53, 164)(54, 156)(55, 175)(56, 157)(57, 173)(58, 192)(59, 159)(60, 160)(61, 174)(62, 168)(63, 187)(64, 180)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2018
Graph:: simple bipartite
	v = 40 e = 128 f = 48
	degree seq :: [ 4^32, 16^8 ]

E21.2021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 8})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 177>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2^3 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 7, 71, 5, 69)(3, 67, 11, 75, 22, 86, 14, 78)(4, 68, 15, 79, 23, 87, 9, 73)(6, 70, 19, 83, 24, 88, 20, 84)(8, 72, 25, 89, 17, 81, 28, 92)(10, 74, 30, 94, 18, 82, 31, 95)(12, 76, 26, 90, 45, 109, 36, 100)(13, 77, 37, 101, 46, 110, 33, 97)(16, 80, 42, 106, 47, 111, 44, 108)(21, 85, 32, 96, 48, 112, 38, 102)(27, 91, 52, 116, 41, 105, 49, 113)(29, 93, 54, 118, 40, 104, 56, 120)(34, 98, 50, 114, 39, 103, 53, 117)(35, 99, 58, 122, 61, 125, 51, 115)(43, 107, 60, 124, 62, 126, 55, 119)(57, 121, 64, 128, 59, 123, 63, 127)(129, 193, 131, 195, 140, 204, 159, 223, 181, 245, 156, 220, 149, 213, 134, 198)(130, 194, 136, 200, 154, 218, 147, 211, 162, 226, 139, 203, 160, 224, 138, 202)(132, 196, 144, 208, 171, 235, 180, 244, 192, 256, 182, 246, 163, 227, 141, 205)(133, 197, 145, 209, 164, 228, 148, 212, 167, 231, 142, 206, 166, 230, 146, 210)(135, 199, 150, 214, 173, 237, 158, 222, 178, 242, 153, 217, 176, 240, 152, 216)(137, 201, 157, 221, 183, 247, 161, 225, 185, 249, 172, 236, 179, 243, 155, 219)(143, 207, 168, 232, 188, 252, 165, 229, 187, 251, 170, 234, 186, 250, 169, 233)(151, 215, 175, 239, 190, 254, 177, 241, 191, 255, 184, 248, 189, 253, 174, 238)
	L = (1, 132)(2, 137)(3, 141)(4, 129)(5, 143)(6, 144)(7, 151)(8, 155)(9, 130)(10, 157)(11, 161)(12, 163)(13, 131)(14, 165)(15, 133)(16, 134)(17, 169)(18, 168)(19, 172)(20, 170)(21, 171)(22, 174)(23, 135)(24, 175)(25, 177)(26, 179)(27, 136)(28, 180)(29, 138)(30, 184)(31, 182)(32, 183)(33, 139)(34, 185)(35, 140)(36, 186)(37, 142)(38, 188)(39, 187)(40, 146)(41, 145)(42, 148)(43, 149)(44, 147)(45, 189)(46, 150)(47, 152)(48, 190)(49, 153)(50, 191)(51, 154)(52, 156)(53, 192)(54, 159)(55, 160)(56, 158)(57, 162)(58, 164)(59, 167)(60, 166)(61, 173)(62, 176)(63, 178)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2016
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2022 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C8 : C8 (small group id <64, 3>)
Aut   = $<128, 453>$ (small group id <128, 453>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2^-1, T2^-1 * T1^-3 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^8, (T2^-1 * T1^2 * T2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 46, 35, 17, 5)(2, 7, 22, 40, 55, 44, 26, 8)(4, 12, 30, 48, 60, 49, 32, 14)(6, 19, 37, 52, 62, 53, 38, 20)(9, 27, 45, 59, 50, 33, 15, 28)(11, 31, 47, 61, 51, 34, 16, 18)(13, 21, 39, 54, 63, 57, 42, 24)(23, 41, 56, 64, 58, 43, 25, 36)(65, 66, 70, 82, 100, 92, 77, 68)(67, 73, 83, 76, 87, 71, 85, 75)(69, 79, 84, 78, 89, 72, 88, 80)(74, 86, 101, 95, 105, 91, 103, 94)(81, 90, 102, 98, 107, 97, 106, 96)(93, 109, 116, 112, 120, 104, 118, 111)(99, 114, 117, 113, 122, 108, 121, 115)(110, 119, 126, 125, 128, 123, 127, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2023
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2023 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C8 : C8 (small group id <64, 3>)
Aut   = $<128, 453>$ (small group id <128, 453>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2^-1, T2^-1 * T1^-3 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^8, (T2^-1 * T1^2 * T2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 29, 93, 46, 110, 35, 99, 17, 81, 5, 69)(2, 66, 7, 71, 22, 86, 40, 104, 55, 119, 44, 108, 26, 90, 8, 72)(4, 68, 12, 76, 30, 94, 48, 112, 60, 124, 49, 113, 32, 96, 14, 78)(6, 70, 19, 83, 37, 101, 52, 116, 62, 126, 53, 117, 38, 102, 20, 84)(9, 73, 27, 91, 45, 109, 59, 123, 50, 114, 33, 97, 15, 79, 28, 92)(11, 75, 31, 95, 47, 111, 61, 125, 51, 115, 34, 98, 16, 80, 18, 82)(13, 77, 21, 85, 39, 103, 54, 118, 63, 127, 57, 121, 42, 106, 24, 88)(23, 87, 41, 105, 56, 120, 64, 128, 58, 122, 43, 107, 25, 89, 36, 100)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 83)(10, 86)(11, 67)(12, 87)(13, 68)(14, 89)(15, 84)(16, 69)(17, 90)(18, 100)(19, 76)(20, 78)(21, 75)(22, 101)(23, 71)(24, 80)(25, 72)(26, 102)(27, 103)(28, 77)(29, 109)(30, 74)(31, 105)(32, 81)(33, 106)(34, 107)(35, 114)(36, 92)(37, 95)(38, 98)(39, 94)(40, 118)(41, 91)(42, 96)(43, 97)(44, 121)(45, 116)(46, 119)(47, 93)(48, 120)(49, 122)(50, 117)(51, 99)(52, 112)(53, 113)(54, 111)(55, 126)(56, 104)(57, 115)(58, 108)(59, 127)(60, 110)(61, 128)(62, 125)(63, 124)(64, 123)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2022
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 3>)
Aut   = $<128, 453>$ (small group id <128, 453>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^3 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-3, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3^3 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 36, 100, 28, 92, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 12, 76, 23, 87, 7, 71, 21, 85, 11, 75)(5, 69, 15, 79, 20, 84, 14, 78, 25, 89, 8, 72, 24, 88, 16, 80)(10, 74, 22, 86, 37, 101, 31, 95, 41, 105, 27, 91, 39, 103, 30, 94)(17, 81, 26, 90, 38, 102, 34, 98, 43, 107, 33, 97, 42, 106, 32, 96)(29, 93, 45, 109, 52, 116, 48, 112, 56, 120, 40, 104, 54, 118, 47, 111)(35, 99, 50, 114, 53, 117, 49, 113, 58, 122, 44, 108, 57, 121, 51, 115)(46, 110, 55, 119, 62, 126, 61, 125, 64, 128, 59, 123, 63, 127, 60, 124)(129, 193, 131, 195, 138, 202, 157, 221, 174, 238, 163, 227, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 168, 232, 183, 247, 172, 236, 154, 218, 136, 200)(132, 196, 140, 204, 158, 222, 176, 240, 188, 252, 177, 241, 160, 224, 142, 206)(134, 198, 147, 211, 165, 229, 180, 244, 190, 254, 181, 245, 166, 230, 148, 212)(137, 201, 155, 219, 173, 237, 187, 251, 178, 242, 161, 225, 143, 207, 156, 220)(139, 203, 159, 223, 175, 239, 189, 253, 179, 243, 162, 226, 144, 208, 146, 210)(141, 205, 149, 213, 167, 231, 182, 246, 191, 255, 185, 249, 170, 234, 152, 216)(151, 215, 169, 233, 184, 248, 192, 256, 186, 250, 171, 235, 153, 217, 164, 228)
	L = (1, 132)(2, 129)(3, 139)(4, 141)(5, 144)(6, 130)(7, 151)(8, 153)(9, 131)(10, 158)(11, 149)(12, 147)(13, 156)(14, 148)(15, 133)(16, 152)(17, 160)(18, 134)(19, 137)(20, 143)(21, 135)(22, 138)(23, 140)(24, 136)(25, 142)(26, 145)(27, 169)(28, 164)(29, 175)(30, 167)(31, 165)(32, 170)(33, 171)(34, 166)(35, 179)(36, 146)(37, 150)(38, 154)(39, 155)(40, 184)(41, 159)(42, 161)(43, 162)(44, 186)(45, 157)(46, 188)(47, 182)(48, 180)(49, 181)(50, 163)(51, 185)(52, 173)(53, 178)(54, 168)(55, 174)(56, 176)(57, 172)(58, 177)(59, 192)(60, 191)(61, 190)(62, 183)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2025
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 3>)
Aut   = $<128, 453>$ (small group id <128, 453>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^2, Y2^-2 * Y3^-1 * Y2^2 * Y3, (Y2^-1, Y3^-1, Y2^-1), Y2^8, Y2^-1 * Y3^3 * Y2^-1 * Y3 * Y2^-2, Y2^-1 * Y3^-3 * Y2^-1 * Y3^-1 * Y2^-2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 146, 210, 170, 234, 163, 227, 141, 205, 132, 196)(131, 195, 137, 201, 147, 211, 173, 237, 189, 253, 184, 248, 160, 224, 139, 203)(133, 197, 143, 207, 148, 212, 175, 239, 190, 254, 179, 243, 164, 228, 144, 208)(135, 199, 149, 213, 171, 235, 169, 233, 188, 252, 162, 226, 140, 204, 151, 215)(136, 200, 152, 216, 172, 236, 157, 221, 185, 249, 165, 229, 142, 206, 153, 217)(138, 202, 150, 214, 174, 238, 168, 232, 183, 247, 167, 231, 182, 246, 158, 222)(145, 209, 154, 218, 176, 240, 159, 223, 180, 244, 155, 219, 177, 241, 166, 230)(156, 220, 178, 242, 191, 255, 186, 250, 192, 256, 187, 251, 161, 225, 181, 245)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 157)(11, 159)(12, 158)(13, 160)(14, 132)(15, 156)(16, 161)(17, 133)(18, 171)(19, 174)(20, 134)(21, 177)(22, 179)(23, 180)(24, 178)(25, 181)(26, 136)(27, 185)(28, 137)(29, 186)(30, 175)(31, 172)(32, 182)(33, 139)(34, 176)(35, 188)(36, 141)(37, 187)(38, 142)(39, 143)(40, 144)(41, 145)(42, 189)(43, 168)(44, 146)(45, 166)(46, 165)(47, 191)(48, 148)(49, 164)(50, 149)(51, 192)(52, 190)(53, 151)(54, 152)(55, 153)(56, 154)(57, 163)(58, 169)(59, 162)(60, 167)(61, 183)(62, 170)(63, 173)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2024
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2026 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1^-1 * T2^-2 * T1 * T2^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^8, T2^8, T2^-1 * T1^-4 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 58, 41, 17, 5)(2, 7, 22, 51, 64, 56, 26, 8)(4, 12, 34, 45, 63, 47, 30, 14)(6, 19, 46, 35, 59, 38, 48, 20)(9, 27, 15, 39, 60, 36, 57, 28)(11, 31, 16, 40, 44, 18, 43, 33)(13, 32, 50, 21, 49, 24, 54, 37)(23, 52, 25, 55, 62, 42, 61, 53)(65, 66, 70, 82, 106, 100, 77, 68)(67, 73, 83, 109, 125, 115, 96, 75)(69, 79, 84, 111, 126, 120, 101, 80)(71, 85, 107, 93, 121, 99, 76, 87)(72, 88, 108, 105, 124, 102, 78, 89)(74, 90, 110, 104, 117, 103, 114, 94)(81, 86, 112, 97, 119, 92, 118, 98)(91, 113, 127, 122, 128, 123, 95, 116)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2028
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2027 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1 * T2^-1 * T1^-1, T2^-1 * T1^2 * T2 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T1 * T2 * T1^-1 * T2)^2, T1^8, (T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 23, 44, 25, 17, 5)(2, 7, 22, 9, 27, 15, 26, 8)(4, 12, 31, 11, 29, 16, 28, 14)(6, 19, 40, 21, 43, 24, 42, 20)(13, 30, 45, 32, 46, 35, 48, 34)(18, 37, 55, 39, 58, 41, 57, 38)(33, 49, 61, 47, 60, 51, 59, 50)(36, 52, 62, 54, 64, 56, 63, 53)(65, 66, 70, 82, 100, 97, 77, 68)(67, 73, 83, 103, 116, 111, 94, 75)(69, 79, 84, 105, 117, 115, 98, 80)(71, 85, 101, 118, 113, 96, 76, 87)(72, 88, 102, 120, 114, 99, 78, 89)(74, 90, 104, 121, 126, 123, 109, 92)(81, 86, 106, 119, 127, 125, 112, 95)(91, 107, 122, 128, 124, 110, 93, 108)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2029
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2028 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-2 * T2 * T1^-2, T2 * T1 * T2^3 * T1^-3, T1^8, T2^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 30, 94, 58, 122, 41, 105, 17, 81, 5, 69)(2, 66, 7, 71, 22, 86, 51, 115, 64, 128, 56, 120, 26, 90, 8, 72)(4, 68, 12, 76, 31, 95, 47, 111, 63, 127, 46, 110, 38, 102, 14, 78)(6, 70, 19, 83, 45, 109, 37, 101, 57, 121, 34, 98, 48, 112, 20, 84)(9, 73, 28, 92, 44, 108, 18, 82, 43, 107, 39, 103, 15, 79, 29, 93)(11, 75, 32, 96, 59, 123, 35, 99, 60, 124, 40, 104, 16, 80, 33, 97)(13, 77, 27, 91, 55, 119, 25, 89, 53, 117, 23, 87, 52, 116, 36, 100)(21, 85, 49, 113, 62, 126, 42, 106, 61, 125, 54, 118, 24, 88, 50, 114)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 91)(10, 86)(11, 67)(12, 98)(13, 68)(14, 101)(15, 100)(16, 69)(17, 90)(18, 106)(19, 75)(20, 80)(21, 76)(22, 109)(23, 71)(24, 78)(25, 72)(26, 112)(27, 120)(28, 113)(29, 114)(30, 108)(31, 74)(32, 116)(33, 117)(34, 124)(35, 77)(36, 115)(37, 123)(38, 81)(39, 118)(40, 119)(41, 107)(42, 99)(43, 87)(44, 89)(45, 103)(46, 83)(47, 84)(48, 92)(49, 96)(50, 97)(51, 126)(52, 102)(53, 127)(54, 104)(55, 95)(56, 125)(57, 93)(58, 128)(59, 94)(60, 105)(61, 110)(62, 111)(63, 122)(64, 121)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2026
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2029 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-1, T1^-1 * T2 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-2, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 46, 110, 35, 99, 17, 81, 5, 69)(2, 66, 7, 71, 22, 86, 40, 104, 55, 119, 44, 108, 26, 90, 8, 72)(4, 68, 12, 76, 29, 93, 48, 112, 60, 124, 49, 113, 32, 96, 14, 78)(6, 70, 19, 83, 37, 101, 52, 116, 62, 126, 53, 117, 38, 102, 20, 84)(9, 73, 27, 91, 45, 109, 59, 123, 50, 114, 33, 97, 15, 79, 18, 82)(11, 75, 30, 94, 47, 111, 61, 125, 51, 115, 34, 98, 16, 80, 31, 95)(13, 77, 23, 87, 41, 105, 56, 120, 64, 128, 58, 122, 43, 107, 25, 89)(21, 85, 39, 103, 54, 118, 63, 127, 57, 121, 42, 106, 24, 88, 36, 100)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 87)(10, 86)(11, 67)(12, 83)(13, 68)(14, 84)(15, 89)(16, 69)(17, 90)(18, 100)(19, 75)(20, 80)(21, 76)(22, 101)(23, 71)(24, 78)(25, 72)(26, 102)(27, 103)(28, 109)(29, 74)(30, 105)(31, 77)(32, 81)(33, 106)(34, 107)(35, 114)(36, 95)(37, 91)(38, 97)(39, 94)(40, 118)(41, 93)(42, 98)(43, 96)(44, 121)(45, 120)(46, 119)(47, 92)(48, 116)(49, 117)(50, 122)(51, 99)(52, 111)(53, 115)(54, 112)(55, 126)(56, 104)(57, 113)(58, 108)(59, 127)(60, 110)(61, 128)(62, 123)(63, 125)(64, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2027
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y1 * Y2^-2, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y3^2 * Y2^-1 * Y3 * Y2, Y2^3 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1^-2, Y1^8, Y2^8, Y3 * Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 36, 100, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 45, 109, 61, 125, 51, 115, 32, 96, 11, 75)(5, 69, 15, 79, 20, 84, 47, 111, 62, 126, 56, 120, 37, 101, 16, 80)(7, 71, 21, 85, 43, 107, 29, 93, 57, 121, 35, 99, 12, 76, 23, 87)(8, 72, 24, 88, 44, 108, 41, 105, 60, 124, 38, 102, 14, 78, 25, 89)(10, 74, 26, 90, 46, 110, 40, 104, 53, 117, 39, 103, 50, 114, 30, 94)(17, 81, 22, 86, 48, 112, 33, 97, 55, 119, 28, 92, 54, 118, 34, 98)(27, 91, 49, 113, 63, 127, 58, 122, 64, 128, 59, 123, 31, 95, 52, 116)(129, 193, 131, 195, 138, 202, 157, 221, 186, 250, 169, 233, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 179, 243, 192, 256, 184, 248, 154, 218, 136, 200)(132, 196, 140, 204, 162, 226, 173, 237, 191, 255, 175, 239, 158, 222, 142, 206)(134, 198, 147, 211, 174, 238, 163, 227, 187, 251, 166, 230, 176, 240, 148, 212)(137, 201, 155, 219, 143, 207, 167, 231, 188, 252, 164, 228, 185, 249, 156, 220)(139, 203, 159, 223, 144, 208, 168, 232, 172, 236, 146, 210, 171, 235, 161, 225)(141, 205, 160, 224, 178, 242, 149, 213, 177, 241, 152, 216, 182, 246, 165, 229)(151, 215, 180, 244, 153, 217, 183, 247, 190, 254, 170, 234, 189, 253, 181, 245)
	L = (1, 132)(2, 129)(3, 139)(4, 141)(5, 144)(6, 130)(7, 151)(8, 153)(9, 131)(10, 158)(11, 160)(12, 163)(13, 164)(14, 166)(15, 133)(16, 165)(17, 162)(18, 134)(19, 137)(20, 143)(21, 135)(22, 145)(23, 140)(24, 136)(25, 142)(26, 138)(27, 180)(28, 183)(29, 171)(30, 178)(31, 187)(32, 179)(33, 176)(34, 182)(35, 185)(36, 170)(37, 184)(38, 188)(39, 181)(40, 174)(41, 172)(42, 146)(43, 149)(44, 152)(45, 147)(46, 154)(47, 148)(48, 150)(49, 155)(50, 167)(51, 189)(52, 159)(53, 168)(54, 156)(55, 161)(56, 190)(57, 157)(58, 191)(59, 192)(60, 169)(61, 173)(62, 175)(63, 177)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2032
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^2 * Y3 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-3 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 36, 100, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 39, 103, 52, 116, 47, 111, 30, 94, 11, 75)(5, 69, 15, 79, 20, 84, 41, 105, 53, 117, 51, 115, 34, 98, 16, 80)(7, 71, 21, 85, 37, 101, 54, 118, 49, 113, 32, 96, 12, 76, 23, 87)(8, 72, 24, 88, 38, 102, 56, 120, 50, 114, 35, 99, 14, 78, 25, 89)(10, 74, 26, 90, 40, 104, 57, 121, 62, 126, 59, 123, 45, 109, 28, 92)(17, 81, 22, 86, 42, 106, 55, 119, 63, 127, 61, 125, 48, 112, 31, 95)(27, 91, 43, 107, 58, 122, 64, 128, 60, 124, 46, 110, 29, 93, 44, 108)(129, 193, 131, 195, 138, 202, 151, 215, 172, 236, 153, 217, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201, 155, 219, 143, 207, 154, 218, 136, 200)(132, 196, 140, 204, 159, 223, 139, 203, 157, 221, 144, 208, 156, 220, 142, 206)(134, 198, 147, 211, 168, 232, 149, 213, 171, 235, 152, 216, 170, 234, 148, 212)(141, 205, 158, 222, 173, 237, 160, 224, 174, 238, 163, 227, 176, 240, 162, 226)(146, 210, 165, 229, 183, 247, 167, 231, 186, 250, 169, 233, 185, 249, 166, 230)(161, 225, 177, 241, 189, 253, 175, 239, 188, 252, 179, 243, 187, 251, 178, 242)(164, 228, 180, 244, 190, 254, 182, 246, 192, 256, 184, 248, 191, 255, 181, 245)
	L = (1, 132)(2, 129)(3, 139)(4, 141)(5, 144)(6, 130)(7, 151)(8, 153)(9, 131)(10, 156)(11, 158)(12, 160)(13, 161)(14, 163)(15, 133)(16, 162)(17, 159)(18, 134)(19, 137)(20, 143)(21, 135)(22, 145)(23, 140)(24, 136)(25, 142)(26, 138)(27, 172)(28, 173)(29, 174)(30, 175)(31, 176)(32, 177)(33, 164)(34, 179)(35, 178)(36, 146)(37, 149)(38, 152)(39, 147)(40, 154)(41, 148)(42, 150)(43, 155)(44, 157)(45, 187)(46, 188)(47, 180)(48, 189)(49, 182)(50, 184)(51, 181)(52, 167)(53, 169)(54, 165)(55, 170)(56, 166)(57, 168)(58, 171)(59, 190)(60, 192)(61, 191)(62, 185)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2033
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y2^8, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 146, 210, 170, 234, 164, 228, 141, 205, 132, 196)(131, 195, 137, 201, 147, 211, 173, 237, 189, 253, 179, 243, 160, 224, 139, 203)(133, 197, 143, 207, 148, 212, 175, 239, 190, 254, 184, 248, 165, 229, 144, 208)(135, 199, 149, 213, 171, 235, 157, 221, 185, 249, 163, 227, 140, 204, 151, 215)(136, 200, 152, 216, 172, 236, 169, 233, 188, 252, 166, 230, 142, 206, 153, 217)(138, 202, 154, 218, 174, 238, 168, 232, 181, 245, 167, 231, 178, 242, 158, 222)(145, 209, 150, 214, 176, 240, 161, 225, 183, 247, 156, 220, 182, 246, 162, 226)(155, 219, 177, 241, 191, 255, 186, 250, 192, 256, 187, 251, 159, 223, 180, 244)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 157)(11, 159)(12, 162)(13, 160)(14, 132)(15, 167)(16, 168)(17, 133)(18, 171)(19, 174)(20, 134)(21, 177)(22, 179)(23, 180)(24, 182)(25, 183)(26, 136)(27, 143)(28, 137)(29, 186)(30, 142)(31, 144)(32, 178)(33, 139)(34, 173)(35, 187)(36, 185)(37, 141)(38, 176)(39, 188)(40, 172)(41, 145)(42, 189)(43, 161)(44, 146)(45, 191)(46, 163)(47, 158)(48, 148)(49, 152)(50, 149)(51, 192)(52, 153)(53, 151)(54, 165)(55, 190)(56, 154)(57, 156)(58, 169)(59, 166)(60, 164)(61, 181)(62, 170)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2030
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 15>)
Aut   = $<128, 419>$ (small group id <128, 419>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-3 * Y2, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2^8, (Y3 * Y2^-1)^8, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 146, 210, 164, 228, 161, 225, 141, 205, 132, 196)(131, 195, 137, 201, 147, 211, 167, 231, 180, 244, 175, 239, 158, 222, 139, 203)(133, 197, 143, 207, 148, 212, 169, 233, 181, 245, 179, 243, 162, 226, 144, 208)(135, 199, 149, 213, 165, 229, 182, 246, 177, 241, 160, 224, 140, 204, 151, 215)(136, 200, 152, 216, 166, 230, 184, 248, 178, 242, 163, 227, 142, 206, 153, 217)(138, 202, 154, 218, 168, 232, 185, 249, 190, 254, 187, 251, 173, 237, 156, 220)(145, 209, 150, 214, 170, 234, 183, 247, 191, 255, 189, 253, 176, 240, 159, 223)(155, 219, 171, 235, 186, 250, 192, 256, 188, 252, 174, 238, 157, 221, 172, 236)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 151)(11, 157)(12, 159)(13, 158)(14, 132)(15, 154)(16, 156)(17, 133)(18, 165)(19, 168)(20, 134)(21, 171)(22, 137)(23, 172)(24, 170)(25, 145)(26, 136)(27, 143)(28, 142)(29, 144)(30, 173)(31, 139)(32, 174)(33, 177)(34, 141)(35, 176)(36, 180)(37, 183)(38, 146)(39, 186)(40, 149)(41, 185)(42, 148)(43, 152)(44, 153)(45, 160)(46, 163)(47, 188)(48, 162)(49, 189)(50, 161)(51, 187)(52, 190)(53, 164)(54, 192)(55, 167)(56, 191)(57, 166)(58, 169)(59, 178)(60, 179)(61, 175)(62, 182)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2031
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2034 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2, T2 * T1^-3 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 46, 35, 17, 5)(2, 7, 22, 40, 55, 44, 26, 8)(4, 12, 32, 49, 60, 48, 30, 14)(6, 19, 37, 52, 62, 53, 38, 20)(9, 27, 15, 33, 50, 59, 45, 28)(11, 18, 16, 34, 51, 61, 47, 31)(13, 24, 42, 57, 63, 54, 39, 21)(23, 36, 25, 43, 58, 64, 56, 41)(65, 66, 70, 82, 100, 91, 77, 68)(67, 73, 83, 78, 89, 72, 88, 75)(69, 79, 84, 76, 87, 71, 85, 80)(74, 90, 101, 95, 107, 92, 106, 94)(81, 86, 102, 98, 105, 97, 103, 96)(93, 109, 116, 112, 122, 108, 121, 111)(99, 114, 117, 113, 120, 104, 118, 115)(110, 119, 126, 125, 128, 123, 127, 124)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2036
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2035 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^8, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 25, 13, 5)(2, 7, 17, 31, 46, 32, 18, 8)(4, 11, 22, 37, 47, 34, 20, 10)(6, 15, 29, 44, 56, 45, 30, 16)(12, 21, 35, 48, 57, 50, 38, 23)(14, 27, 42, 54, 62, 55, 43, 28)(24, 39, 51, 59, 63, 58, 49, 36)(26, 40, 52, 60, 64, 61, 53, 41)(65, 66, 70, 78, 90, 88, 76, 68)(67, 72, 79, 92, 104, 100, 85, 74)(69, 71, 80, 91, 105, 103, 87, 75)(73, 82, 93, 107, 116, 113, 99, 84)(77, 81, 94, 106, 117, 115, 102, 86)(83, 96, 108, 119, 124, 122, 112, 98)(89, 95, 109, 118, 125, 123, 114, 101)(97, 110, 120, 126, 128, 127, 121, 111)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2037
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2036 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-3 * T1 * T2^-1, T2^-1 * T1^2 * T2 * T1^2, (T1^-1 * T2 * T1^-1 * T2^-1)^2, T1^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 24, 88, 43, 107, 21, 85, 17, 81, 5, 69)(2, 66, 7, 71, 22, 86, 16, 80, 31, 95, 11, 75, 26, 90, 8, 72)(4, 68, 12, 76, 30, 94, 15, 79, 29, 93, 9, 73, 28, 92, 14, 78)(6, 70, 19, 83, 39, 103, 25, 89, 44, 108, 23, 87, 42, 106, 20, 84)(13, 77, 27, 91, 46, 110, 35, 99, 48, 112, 32, 96, 47, 111, 34, 98)(18, 82, 37, 101, 54, 118, 41, 105, 58, 122, 40, 104, 57, 121, 38, 102)(33, 97, 49, 113, 61, 125, 51, 115, 60, 124, 45, 109, 59, 123, 50, 114)(36, 100, 52, 116, 62, 126, 56, 120, 64, 128, 55, 119, 63, 127, 53, 117)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 91)(10, 86)(11, 67)(12, 96)(13, 68)(14, 99)(15, 98)(16, 69)(17, 90)(18, 100)(19, 75)(20, 80)(21, 76)(22, 103)(23, 71)(24, 78)(25, 72)(26, 106)(27, 109)(28, 81)(29, 107)(30, 74)(31, 108)(32, 113)(33, 77)(34, 115)(35, 114)(36, 97)(37, 87)(38, 89)(39, 118)(40, 83)(41, 84)(42, 121)(43, 95)(44, 122)(45, 116)(46, 94)(47, 92)(48, 93)(49, 119)(50, 120)(51, 117)(52, 104)(53, 105)(54, 126)(55, 101)(56, 102)(57, 127)(58, 128)(59, 111)(60, 112)(61, 110)(62, 125)(63, 123)(64, 124)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2034
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2037 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^8, T1^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 21, 85, 36, 100, 25, 89, 13, 77, 5, 69)(2, 66, 7, 71, 17, 81, 31, 95, 46, 110, 32, 96, 18, 82, 8, 72)(4, 68, 9, 73, 20, 84, 35, 99, 49, 113, 39, 103, 24, 88, 12, 76)(6, 70, 15, 79, 29, 93, 44, 108, 56, 120, 45, 109, 30, 94, 16, 80)(11, 75, 19, 83, 34, 98, 48, 112, 58, 122, 51, 115, 38, 102, 23, 87)(14, 78, 27, 91, 42, 106, 54, 118, 62, 126, 55, 119, 43, 107, 28, 92)(22, 86, 33, 97, 47, 111, 57, 121, 63, 127, 59, 123, 50, 114, 37, 101)(26, 90, 40, 104, 52, 116, 60, 124, 64, 128, 61, 125, 53, 117, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 76)(6, 78)(7, 67)(8, 69)(9, 83)(10, 81)(11, 68)(12, 87)(13, 82)(14, 90)(15, 71)(16, 72)(17, 93)(18, 94)(19, 97)(20, 74)(21, 99)(22, 75)(23, 101)(24, 77)(25, 103)(26, 86)(27, 79)(28, 80)(29, 106)(30, 107)(31, 85)(32, 89)(33, 104)(34, 84)(35, 112)(36, 110)(37, 105)(38, 88)(39, 115)(40, 91)(41, 92)(42, 116)(43, 117)(44, 95)(45, 96)(46, 120)(47, 98)(48, 121)(49, 100)(50, 102)(51, 123)(52, 111)(53, 114)(54, 108)(55, 109)(56, 126)(57, 124)(58, 113)(59, 125)(60, 118)(61, 119)(62, 128)(63, 122)(64, 127)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2035
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-2 * Y3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3^2 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^8, Y2^8, Y2^-3 * Y1 * Y2^-4 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 36, 100, 27, 91, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 14, 78, 25, 89, 8, 72, 24, 88, 11, 75)(5, 69, 15, 79, 20, 84, 12, 76, 23, 87, 7, 71, 21, 85, 16, 80)(10, 74, 26, 90, 37, 101, 31, 95, 43, 107, 28, 92, 42, 106, 30, 94)(17, 81, 22, 86, 38, 102, 34, 98, 41, 105, 33, 97, 39, 103, 32, 96)(29, 93, 45, 109, 52, 116, 48, 112, 58, 122, 44, 108, 57, 121, 47, 111)(35, 99, 50, 114, 53, 117, 49, 113, 56, 120, 40, 104, 54, 118, 51, 115)(46, 110, 55, 119, 62, 126, 61, 125, 64, 128, 59, 123, 63, 127, 60, 124)(129, 193, 131, 195, 138, 202, 157, 221, 174, 238, 163, 227, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 168, 232, 183, 247, 172, 236, 154, 218, 136, 200)(132, 196, 140, 204, 160, 224, 177, 241, 188, 252, 176, 240, 158, 222, 142, 206)(134, 198, 147, 211, 165, 229, 180, 244, 190, 254, 181, 245, 166, 230, 148, 212)(137, 201, 155, 219, 143, 207, 161, 225, 178, 242, 187, 251, 173, 237, 156, 220)(139, 203, 146, 210, 144, 208, 162, 226, 179, 243, 189, 253, 175, 239, 159, 223)(141, 205, 152, 216, 170, 234, 185, 249, 191, 255, 182, 246, 167, 231, 149, 213)(151, 215, 164, 228, 153, 217, 171, 235, 186, 250, 192, 256, 184, 248, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 141)(5, 144)(6, 130)(7, 151)(8, 153)(9, 131)(10, 158)(11, 152)(12, 148)(13, 155)(14, 147)(15, 133)(16, 149)(17, 160)(18, 134)(19, 137)(20, 143)(21, 135)(22, 145)(23, 140)(24, 136)(25, 142)(26, 138)(27, 164)(28, 171)(29, 175)(30, 170)(31, 165)(32, 167)(33, 169)(34, 166)(35, 179)(36, 146)(37, 154)(38, 150)(39, 161)(40, 184)(41, 162)(42, 156)(43, 159)(44, 186)(45, 157)(46, 188)(47, 185)(48, 180)(49, 181)(50, 163)(51, 182)(52, 173)(53, 178)(54, 168)(55, 174)(56, 177)(57, 172)(58, 176)(59, 192)(60, 191)(61, 190)(62, 183)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2040
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^8, Y1^8, Y2^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 14, 78, 26, 90, 24, 88, 12, 76, 4, 68)(3, 67, 8, 72, 15, 79, 28, 92, 40, 104, 36, 100, 21, 85, 10, 74)(5, 69, 7, 71, 16, 80, 27, 91, 41, 105, 39, 103, 23, 87, 11, 75)(9, 73, 18, 82, 29, 93, 43, 107, 52, 116, 49, 113, 35, 99, 20, 84)(13, 77, 17, 81, 30, 94, 42, 106, 53, 117, 51, 115, 38, 102, 22, 86)(19, 83, 32, 96, 44, 108, 55, 119, 60, 124, 58, 122, 48, 112, 34, 98)(25, 89, 31, 95, 45, 109, 54, 118, 61, 125, 59, 123, 50, 114, 37, 101)(33, 97, 46, 110, 56, 120, 62, 126, 64, 128, 63, 127, 57, 121, 47, 111)(129, 193, 131, 195, 137, 201, 147, 211, 161, 225, 153, 217, 141, 205, 133, 197)(130, 194, 135, 199, 145, 209, 159, 223, 174, 238, 160, 224, 146, 210, 136, 200)(132, 196, 139, 203, 150, 214, 165, 229, 175, 239, 162, 226, 148, 212, 138, 202)(134, 198, 143, 207, 157, 221, 172, 236, 184, 248, 173, 237, 158, 222, 144, 208)(140, 204, 149, 213, 163, 227, 176, 240, 185, 249, 178, 242, 166, 230, 151, 215)(142, 206, 155, 219, 170, 234, 182, 246, 190, 254, 183, 247, 171, 235, 156, 220)(152, 216, 167, 231, 179, 243, 187, 251, 191, 255, 186, 250, 177, 241, 164, 228)(154, 218, 168, 232, 180, 244, 188, 252, 192, 256, 189, 253, 181, 245, 169, 233)
	L = (1, 132)(2, 129)(3, 138)(4, 140)(5, 139)(6, 130)(7, 133)(8, 131)(9, 148)(10, 149)(11, 151)(12, 152)(13, 150)(14, 134)(15, 136)(16, 135)(17, 141)(18, 137)(19, 162)(20, 163)(21, 164)(22, 166)(23, 167)(24, 154)(25, 165)(26, 142)(27, 144)(28, 143)(29, 146)(30, 145)(31, 153)(32, 147)(33, 175)(34, 176)(35, 177)(36, 168)(37, 178)(38, 179)(39, 169)(40, 156)(41, 155)(42, 158)(43, 157)(44, 160)(45, 159)(46, 161)(47, 185)(48, 186)(49, 180)(50, 187)(51, 181)(52, 171)(53, 170)(54, 173)(55, 172)(56, 174)(57, 191)(58, 188)(59, 189)(60, 183)(61, 182)(62, 184)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2041
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y3^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y3^8, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 146, 210, 164, 228, 155, 219, 141, 205, 132, 196)(131, 195, 137, 201, 147, 211, 142, 206, 153, 217, 136, 200, 152, 216, 139, 203)(133, 197, 143, 207, 148, 212, 140, 204, 151, 215, 135, 199, 149, 213, 144, 208)(138, 202, 154, 218, 165, 229, 159, 223, 171, 235, 156, 220, 170, 234, 158, 222)(145, 209, 150, 214, 166, 230, 162, 226, 169, 233, 161, 225, 167, 231, 160, 224)(157, 221, 173, 237, 180, 244, 176, 240, 186, 250, 172, 236, 185, 249, 175, 239)(163, 227, 178, 242, 181, 245, 177, 241, 184, 248, 168, 232, 182, 246, 179, 243)(174, 238, 183, 247, 190, 254, 189, 253, 192, 256, 187, 251, 191, 255, 188, 252)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 157)(11, 146)(12, 160)(13, 152)(14, 132)(15, 161)(16, 162)(17, 133)(18, 144)(19, 165)(20, 134)(21, 141)(22, 168)(23, 164)(24, 170)(25, 171)(26, 136)(27, 143)(28, 137)(29, 174)(30, 142)(31, 139)(32, 177)(33, 178)(34, 179)(35, 145)(36, 153)(37, 180)(38, 148)(39, 149)(40, 183)(41, 151)(42, 185)(43, 186)(44, 154)(45, 156)(46, 163)(47, 159)(48, 158)(49, 188)(50, 187)(51, 189)(52, 190)(53, 166)(54, 167)(55, 172)(56, 169)(57, 191)(58, 192)(59, 173)(60, 176)(61, 175)(62, 181)(63, 182)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2038
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C8 (small group id <64, 16>)
Aut   = $<128, 399>$ (small group id <128, 399>)
|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, Y3^3 * Y2 * Y3^-5 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 142, 206, 154, 218, 152, 216, 140, 204, 132, 196)(131, 195, 136, 200, 143, 207, 156, 220, 168, 232, 164, 228, 149, 213, 138, 202)(133, 197, 135, 199, 144, 208, 155, 219, 169, 233, 167, 231, 151, 215, 139, 203)(137, 201, 146, 210, 157, 221, 171, 235, 180, 244, 177, 241, 163, 227, 148, 212)(141, 205, 145, 209, 158, 222, 170, 234, 181, 245, 179, 243, 166, 230, 150, 214)(147, 211, 160, 224, 172, 236, 183, 247, 188, 252, 186, 250, 176, 240, 162, 226)(153, 217, 159, 223, 173, 237, 182, 246, 189, 253, 187, 251, 178, 242, 165, 229)(161, 225, 174, 238, 184, 248, 190, 254, 192, 256, 191, 255, 185, 249, 175, 239)
	L = (1, 131)(2, 135)(3, 137)(4, 139)(5, 129)(6, 143)(7, 145)(8, 130)(9, 147)(10, 132)(11, 150)(12, 149)(13, 133)(14, 155)(15, 157)(16, 134)(17, 159)(18, 136)(19, 161)(20, 138)(21, 163)(22, 165)(23, 140)(24, 167)(25, 141)(26, 168)(27, 170)(28, 142)(29, 172)(30, 144)(31, 174)(32, 146)(33, 153)(34, 148)(35, 176)(36, 152)(37, 175)(38, 151)(39, 179)(40, 180)(41, 154)(42, 182)(43, 156)(44, 184)(45, 158)(46, 160)(47, 162)(48, 185)(49, 164)(50, 166)(51, 187)(52, 188)(53, 169)(54, 190)(55, 171)(56, 173)(57, 178)(58, 177)(59, 191)(60, 192)(61, 181)(62, 183)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2039
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2042 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 8})
Quotient :: edge
Aut^+ = (C4 x C2) . D8 = C4 . (C4 x C4) (small group id <64, 22>)
Aut   = $<128, 750>$ (small group id <128, 750>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T2^-1 * T1^3 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^2 * T1 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^2, T2^8, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 42, 41, 17, 5)(2, 7, 22, 51, 35, 56, 26, 8)(4, 12, 31, 44, 18, 43, 38, 14)(6, 19, 45, 36, 13, 27, 48, 20)(9, 28, 47, 62, 46, 39, 15, 29)(11, 32, 59, 63, 57, 40, 16, 33)(21, 49, 61, 64, 60, 54, 24, 50)(23, 52, 37, 58, 34, 55, 25, 53)(65, 66, 70, 82, 106, 99, 77, 68)(67, 73, 91, 121, 105, 110, 83, 75)(69, 79, 100, 123, 94, 111, 84, 80)(71, 85, 76, 98, 120, 124, 107, 87)(72, 88, 78, 101, 115, 125, 108, 89)(74, 86, 109, 102, 81, 90, 112, 95)(92, 113, 96, 116, 103, 118, 104, 119)(93, 114, 97, 117, 126, 128, 127, 122)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2043
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2043 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 8})
Quotient :: loop
Aut^+ = (C4 x C2) . D8 = C4 . (C4 x C4) (small group id <64, 22>)
Aut   = $<128, 750>$ (small group id <128, 750>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T2^-1 * T1^3 * T2^-2 * T1 * T2^-1, T2 * T1 * T2^2 * T1 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1)^2, T2^8, T1^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 30, 94, 42, 106, 41, 105, 17, 81, 5, 69)(2, 66, 7, 71, 22, 86, 51, 115, 35, 99, 56, 120, 26, 90, 8, 72)(4, 68, 12, 76, 31, 95, 44, 108, 18, 82, 43, 107, 38, 102, 14, 78)(6, 70, 19, 83, 45, 109, 36, 100, 13, 77, 27, 91, 48, 112, 20, 84)(9, 73, 28, 92, 47, 111, 62, 126, 46, 110, 39, 103, 15, 79, 29, 93)(11, 75, 32, 96, 59, 123, 63, 127, 57, 121, 40, 104, 16, 80, 33, 97)(21, 85, 49, 113, 61, 125, 64, 128, 60, 124, 54, 118, 24, 88, 50, 114)(23, 87, 52, 116, 37, 101, 58, 122, 34, 98, 55, 119, 25, 89, 53, 117)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 91)(10, 86)(11, 67)(12, 98)(13, 68)(14, 101)(15, 100)(16, 69)(17, 90)(18, 106)(19, 75)(20, 80)(21, 76)(22, 109)(23, 71)(24, 78)(25, 72)(26, 112)(27, 121)(28, 113)(29, 114)(30, 111)(31, 74)(32, 116)(33, 117)(34, 120)(35, 77)(36, 123)(37, 115)(38, 81)(39, 118)(40, 119)(41, 110)(42, 99)(43, 87)(44, 89)(45, 102)(46, 83)(47, 84)(48, 95)(49, 96)(50, 97)(51, 125)(52, 103)(53, 126)(54, 104)(55, 92)(56, 124)(57, 105)(58, 93)(59, 94)(60, 107)(61, 108)(62, 128)(63, 122)(64, 127)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2042
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C2) . D8 = C4 . (C4 x C4) (small group id <64, 22>)
Aut   = $<128, 750>$ (small group id <128, 750>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^2 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^2 * Y3^-1 * Y2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^8, Y1^8, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 57, 121, 41, 105, 46, 110, 19, 83, 11, 75)(5, 69, 15, 79, 36, 100, 59, 123, 30, 94, 47, 111, 20, 84, 16, 80)(7, 71, 21, 85, 12, 76, 34, 98, 56, 120, 60, 124, 43, 107, 23, 87)(8, 72, 24, 88, 14, 78, 37, 101, 51, 115, 61, 125, 44, 108, 25, 89)(10, 74, 22, 86, 45, 109, 38, 102, 17, 81, 26, 90, 48, 112, 31, 95)(28, 92, 49, 113, 32, 96, 52, 116, 39, 103, 54, 118, 40, 104, 55, 119)(29, 93, 50, 114, 33, 97, 53, 117, 62, 126, 64, 128, 63, 127, 58, 122)(129, 193, 131, 195, 138, 202, 158, 222, 170, 234, 169, 233, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 179, 243, 163, 227, 184, 248, 154, 218, 136, 200)(132, 196, 140, 204, 159, 223, 172, 236, 146, 210, 171, 235, 166, 230, 142, 206)(134, 198, 147, 211, 173, 237, 164, 228, 141, 205, 155, 219, 176, 240, 148, 212)(137, 201, 156, 220, 175, 239, 190, 254, 174, 238, 167, 231, 143, 207, 157, 221)(139, 203, 160, 224, 187, 251, 191, 255, 185, 249, 168, 232, 144, 208, 161, 225)(149, 213, 177, 241, 189, 253, 192, 256, 188, 252, 182, 246, 152, 216, 178, 242)(151, 215, 180, 244, 165, 229, 186, 250, 162, 226, 183, 247, 153, 217, 181, 245)
	L = (1, 132)(2, 129)(3, 139)(4, 141)(5, 144)(6, 130)(7, 151)(8, 153)(9, 131)(10, 159)(11, 147)(12, 149)(13, 163)(14, 152)(15, 133)(16, 148)(17, 166)(18, 134)(19, 174)(20, 175)(21, 135)(22, 138)(23, 171)(24, 136)(25, 172)(26, 145)(27, 137)(28, 183)(29, 186)(30, 187)(31, 176)(32, 177)(33, 178)(34, 140)(35, 170)(36, 143)(37, 142)(38, 173)(39, 180)(40, 182)(41, 185)(42, 146)(43, 188)(44, 189)(45, 150)(46, 169)(47, 158)(48, 154)(49, 156)(50, 157)(51, 165)(52, 160)(53, 161)(54, 167)(55, 168)(56, 162)(57, 155)(58, 191)(59, 164)(60, 184)(61, 179)(62, 181)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2045
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C2) . D8 = C4 . (C4 x C4) (small group id <64, 22>)
Aut   = $<128, 750>$ (small group id <128, 750>)
|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 * Y2^2 * Y3^-1 * Y2^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-3 * Y2^4 * Y3^-1, Y2^8, Y3^8, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2^-4 * Y3^-1 * Y2^-4, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 146, 210, 170, 234, 164, 228, 141, 205, 132, 196)(131, 195, 137, 201, 147, 211, 173, 237, 169, 233, 187, 251, 160, 224, 139, 203)(133, 197, 143, 207, 148, 212, 175, 239, 157, 221, 185, 249, 165, 229, 144, 208)(135, 199, 149, 213, 171, 235, 188, 252, 184, 248, 163, 227, 140, 204, 151, 215)(136, 200, 152, 216, 172, 236, 189, 253, 179, 243, 166, 230, 142, 206, 153, 217)(138, 202, 154, 218, 174, 238, 162, 226, 145, 209, 150, 214, 176, 240, 158, 222)(155, 219, 177, 241, 190, 254, 192, 256, 191, 255, 186, 250, 159, 223, 180, 244)(156, 220, 182, 246, 168, 232, 181, 245, 167, 231, 178, 242, 161, 225, 183, 247)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 157)(11, 159)(12, 162)(13, 160)(14, 132)(15, 167)(16, 168)(17, 133)(18, 171)(19, 174)(20, 134)(21, 177)(22, 179)(23, 180)(24, 182)(25, 183)(26, 136)(27, 143)(28, 137)(29, 170)(30, 142)(31, 144)(32, 176)(33, 139)(34, 172)(35, 186)(36, 184)(37, 141)(38, 178)(39, 187)(40, 173)(41, 145)(42, 169)(43, 158)(44, 146)(45, 190)(46, 165)(47, 161)(48, 148)(49, 152)(50, 149)(51, 164)(52, 153)(53, 151)(54, 163)(55, 188)(56, 154)(57, 156)(58, 166)(59, 191)(60, 192)(61, 181)(62, 175)(63, 185)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2044
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2046 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C16 x C4 (small group id <64, 26>)
Aut   = $<128, 978>$ (small group id <128, 978>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^16 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 62, 56, 48, 40, 32, 24, 16, 8)(4, 10, 18, 26, 34, 42, 50, 58, 63, 59, 51, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 53, 60, 64, 61, 54, 46, 38, 30, 22, 14)(65, 66, 70, 68)(67, 71, 77, 74)(69, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 95, 101, 98)(92, 96, 102, 99)(97, 103, 109, 106)(100, 104, 110, 107)(105, 111, 117, 114)(108, 112, 118, 115)(113, 119, 124, 122)(116, 120, 125, 123)(121, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2047
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2047 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C16 x C4 (small group id <64, 26>)
Aut   = $<128, 978>$ (small group id <128, 978>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1, T1^-1), T2^16 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 9, 73, 17, 81, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69)(2, 66, 7, 71, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 62, 126, 56, 120, 48, 112, 40, 104, 32, 96, 24, 88, 16, 80, 8, 72)(4, 68, 10, 74, 18, 82, 26, 90, 34, 98, 42, 106, 50, 114, 58, 122, 63, 127, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75)(6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 60, 124, 64, 128, 61, 125, 54, 118, 46, 110, 38, 102, 30, 94, 22, 86, 14, 78)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 68)(7, 77)(8, 78)(9, 79)(10, 67)(11, 69)(12, 80)(13, 74)(14, 75)(15, 85)(16, 86)(17, 87)(18, 73)(19, 76)(20, 88)(21, 82)(22, 83)(23, 93)(24, 94)(25, 95)(26, 81)(27, 84)(28, 96)(29, 90)(30, 91)(31, 101)(32, 102)(33, 103)(34, 89)(35, 92)(36, 104)(37, 98)(38, 99)(39, 109)(40, 110)(41, 111)(42, 97)(43, 100)(44, 112)(45, 106)(46, 107)(47, 117)(48, 118)(49, 119)(50, 105)(51, 108)(52, 120)(53, 114)(54, 115)(55, 124)(56, 125)(57, 126)(58, 113)(59, 116)(60, 122)(61, 123)(62, 128)(63, 121)(64, 127)
	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 E21.2046
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2048 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C4 (small group id <64, 26>)
Aut   = $<128, 978>$ (small group id <128, 978>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^4, Y3^16, Y2^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 7, 71, 13, 77, 10, 74)(5, 69, 8, 72, 14, 78, 11, 75)(9, 73, 15, 79, 21, 85, 18, 82)(12, 76, 16, 80, 22, 86, 19, 83)(17, 81, 23, 87, 29, 93, 26, 90)(20, 84, 24, 88, 30, 94, 27, 91)(25, 89, 31, 95, 37, 101, 34, 98)(28, 92, 32, 96, 38, 102, 35, 99)(33, 97, 39, 103, 45, 109, 42, 106)(36, 100, 40, 104, 46, 110, 43, 107)(41, 105, 47, 111, 53, 117, 50, 114)(44, 108, 48, 112, 54, 118, 51, 115)(49, 113, 55, 119, 60, 124, 58, 122)(52, 116, 56, 120, 61, 125, 59, 123)(57, 121, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 137, 201, 145, 209, 153, 217, 161, 225, 169, 233, 177, 241, 185, 249, 180, 244, 172, 236, 164, 228, 156, 220, 148, 212, 140, 204, 133, 197)(130, 194, 135, 199, 143, 207, 151, 215, 159, 223, 167, 231, 175, 239, 183, 247, 190, 254, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 144, 208, 136, 200)(132, 196, 138, 202, 146, 210, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 191, 255, 187, 251, 179, 243, 171, 235, 163, 227, 155, 219, 147, 211, 139, 203)(134, 198, 141, 205, 149, 213, 157, 221, 165, 229, 173, 237, 181, 245, 188, 252, 192, 256, 189, 253, 182, 246, 174, 238, 166, 230, 158, 222, 150, 214, 142, 206)
	L = (1, 132)(2, 129)(3, 138)(4, 134)(5, 139)(6, 130)(7, 131)(8, 133)(9, 146)(10, 141)(11, 142)(12, 147)(13, 135)(14, 136)(15, 137)(16, 140)(17, 154)(18, 149)(19, 150)(20, 155)(21, 143)(22, 144)(23, 145)(24, 148)(25, 162)(26, 157)(27, 158)(28, 163)(29, 151)(30, 152)(31, 153)(32, 156)(33, 170)(34, 165)(35, 166)(36, 171)(37, 159)(38, 160)(39, 161)(40, 164)(41, 178)(42, 173)(43, 174)(44, 179)(45, 167)(46, 168)(47, 169)(48, 172)(49, 186)(50, 181)(51, 182)(52, 187)(53, 175)(54, 176)(55, 177)(56, 180)(57, 191)(58, 188)(59, 189)(60, 183)(61, 184)(62, 185)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2049
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2049 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 x C4 (small group id <64, 26>)
Aut   = $<128, 978>$ (small group id <128, 978>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^-16, Y1^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75, 4, 68)(3, 67, 7, 71, 14, 78, 22, 86, 30, 94, 38, 102, 46, 110, 54, 118, 60, 124, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 18, 82, 10, 74)(5, 69, 8, 72, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 61, 125, 59, 123, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76)(9, 73, 16, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 62, 126, 64, 128, 63, 127, 57, 121, 49, 113, 41, 105, 33, 97, 25, 89, 17, 81)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 138)(5, 129)(6, 142)(7, 144)(8, 130)(9, 133)(10, 145)(11, 146)(12, 132)(13, 150)(14, 152)(15, 134)(16, 136)(17, 140)(18, 153)(19, 154)(20, 139)(21, 158)(22, 160)(23, 141)(24, 143)(25, 148)(26, 161)(27, 162)(28, 147)(29, 166)(30, 168)(31, 149)(32, 151)(33, 156)(34, 169)(35, 170)(36, 155)(37, 174)(38, 176)(39, 157)(40, 159)(41, 164)(42, 177)(43, 178)(44, 163)(45, 182)(46, 184)(47, 165)(48, 167)(49, 172)(50, 185)(51, 186)(52, 171)(53, 188)(54, 190)(55, 173)(56, 175)(57, 180)(58, 191)(59, 179)(60, 192)(61, 181)(62, 183)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2048
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2050 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C16 : C4 (small group id <64, 27>)
Aut   = $<128, 982>$ (small group id <128, 982>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^2 * T1^-1, (T2^-1, T1^-1)^2, T2^5 * T1 * T2^3 * T1^-1, (T2^-1 * T1)^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 59, 43, 23, 41, 21, 40, 57, 52, 34, 16, 5)(2, 7, 20, 39, 56, 50, 32, 14, 26, 9, 25, 45, 60, 44, 24, 8)(4, 12, 28, 48, 61, 51, 33, 15, 30, 11, 29, 47, 62, 49, 31, 13)(6, 17, 35, 53, 63, 58, 42, 22, 38, 19, 37, 55, 64, 54, 36, 18)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 101, 93, 104)(90, 102, 94, 105)(91, 109, 117, 111)(96, 106, 97, 107)(98, 114, 118, 115)(103, 119, 112, 121)(108, 122, 113, 123)(110, 120, 127, 125)(116, 124, 128, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2051
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C16 : C4 (small group id <64, 27>)
Aut   = $<128, 982>$ (small group id <128, 982>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^2 * T1^-1, (T2^-1, T1^-1)^2, T2^5 * T1 * T2^3 * T1^-1, (T2^-1 * T1)^16 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 59, 123, 43, 107, 23, 87, 41, 105, 21, 85, 40, 104, 57, 121, 52, 116, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 50, 114, 32, 96, 14, 78, 26, 90, 9, 73, 25, 89, 45, 109, 60, 124, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 48, 112, 61, 125, 51, 115, 33, 97, 15, 79, 30, 94, 11, 75, 29, 93, 47, 111, 62, 126, 49, 113, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 53, 117, 63, 127, 58, 122, 42, 106, 22, 86, 38, 102, 19, 83, 37, 101, 55, 119, 64, 128, 54, 118, 36, 100, 18, 82)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 101)(26, 102)(27, 109)(28, 74)(29, 104)(30, 105)(31, 80)(32, 106)(33, 107)(34, 114)(35, 92)(36, 95)(37, 93)(38, 94)(39, 119)(40, 89)(41, 90)(42, 97)(43, 96)(44, 122)(45, 117)(46, 120)(47, 91)(48, 121)(49, 123)(50, 118)(51, 98)(52, 124)(53, 111)(54, 115)(55, 112)(56, 127)(57, 103)(58, 113)(59, 108)(60, 128)(61, 110)(62, 116)(63, 125)(64, 126)
	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 E21.2050
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C4 (small group id <64, 27>)
Aut   = $<128, 982>$ (small group id <128, 982>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1, Y1 * Y3^-1 * Y1^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y3, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2 * Y1^2 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2^-3 * Y3^-1 * Y2^-3, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 38, 102, 30, 94, 41, 105)(27, 91, 45, 109, 53, 117, 47, 111)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 50, 114, 54, 118, 51, 115)(39, 103, 55, 119, 48, 112, 57, 121)(44, 108, 58, 122, 49, 113, 59, 123)(46, 110, 56, 120, 63, 127, 61, 125)(52, 116, 60, 124, 64, 128, 62, 126)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 187, 251, 171, 235, 151, 215, 169, 233, 149, 213, 168, 232, 185, 249, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 178, 242, 160, 224, 142, 206, 154, 218, 137, 201, 153, 217, 173, 237, 188, 252, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 176, 240, 189, 253, 179, 243, 161, 225, 143, 207, 158, 222, 139, 203, 157, 221, 175, 239, 190, 254, 177, 241, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 181, 245, 191, 255, 186, 250, 170, 234, 150, 214, 166, 230, 147, 211, 165, 229, 183, 247, 192, 256, 182, 246, 164, 228, 146, 210)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 168)(26, 169)(27, 175)(28, 163)(29, 165)(30, 166)(31, 164)(32, 171)(33, 170)(34, 179)(35, 148)(36, 152)(37, 153)(38, 154)(39, 185)(40, 157)(41, 158)(42, 160)(43, 161)(44, 187)(45, 155)(46, 189)(47, 181)(48, 183)(49, 186)(50, 162)(51, 182)(52, 190)(53, 173)(54, 178)(55, 167)(56, 174)(57, 176)(58, 172)(59, 177)(60, 180)(61, 191)(62, 192)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2053
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C16 : C4 (small group id <64, 27>)
Aut   = $<128, 982>$ (small group id <128, 982>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, (Y3 * Y2^-1)^4, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-3 * Y3 * Y1^-4, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 48, 112, 30, 94, 44, 108, 26, 90, 42, 106, 60, 124, 50, 114, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 54, 118, 49, 113, 31, 95, 12, 76, 22, 86, 7, 71, 20, 84, 36, 100, 56, 120, 47, 111, 29, 93, 11, 75)(5, 69, 15, 79, 19, 83, 40, 104, 55, 119, 51, 115, 34, 98, 14, 78, 24, 88, 8, 72, 23, 87, 37, 101, 58, 122, 52, 116, 33, 97, 16, 80)(10, 74, 21, 85, 39, 103, 57, 121, 63, 127, 62, 126, 46, 110, 28, 92, 43, 107, 25, 89, 41, 105, 59, 123, 64, 128, 61, 125, 45, 109, 27, 91)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 173)(30, 139)(31, 174)(32, 177)(33, 141)(34, 176)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 162)(47, 190)(48, 159)(49, 189)(50, 184)(51, 160)(52, 181)(53, 175)(54, 191)(55, 163)(56, 192)(57, 165)(58, 178)(59, 168)(60, 166)(61, 179)(62, 180)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2052
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2054 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = C16 : C4 (small group id <64, 28>)
|r| :: 1
Presentation :: [ X1^4, X2^3 * X1^-1 * X2 * X1, X1 * X2^2 * X1^-2 * X2^-2 * X1, X2^-2 * X1^-1 * X2 * X1^2 * X2 * X1^-1, X2 * X1^2 * X2^2 * X1 * X2 * X1 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 47, 21)(8, 22, 53, 23)(10, 27, 42, 29)(12, 32, 58, 34)(13, 28, 59, 35)(16, 40, 46, 30)(17, 41, 60, 43)(18, 44, 61, 45)(20, 49, 33, 50)(24, 56, 36, 51)(26, 48, 39, 55)(31, 52, 38, 54)(57, 62, 64, 63)(65, 67, 74, 92, 116, 85, 115, 125, 128, 124, 114, 87, 119, 96, 80, 69)(66, 71, 84, 78, 102, 107, 104, 123, 127, 122, 91, 109, 90, 73, 88, 72)(68, 76, 97, 108, 95, 75, 94, 117, 126, 111, 93, 79, 103, 105, 100, 77)(70, 81, 106, 86, 118, 98, 120, 101, 121, 89, 113, 99, 112, 83, 110, 82)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2055 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = C16 : C4 (small group id <64, 28>)
|r| :: 1
Presentation :: [ X1^-1 * X2^-1 * X1^-3 * X2, X2 * X1 * X2^3 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 39, 103, 54, 118, 62, 126, 64, 128, 63, 127, 57, 121, 40, 104, 55, 119, 28, 92, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 53, 117, 23, 87, 7, 71, 21, 85, 49, 113, 61, 125, 45, 109, 19, 83, 12, 76, 34, 98, 58, 122, 33, 97, 11, 75)(5, 69, 15, 79, 37, 101, 14, 78, 30, 94, 59, 123, 36, 100, 43, 107, 60, 124, 47, 111, 20, 84, 46, 110, 25, 89, 8, 72, 24, 88, 16, 80)(10, 74, 29, 93, 44, 108, 38, 102, 52, 116, 26, 90, 56, 120, 35, 99, 51, 115, 22, 86, 50, 114, 32, 96, 17, 81, 41, 105, 48, 112, 31, 95)
	L = (1, 67)(2, 71)(3, 74)(4, 76)(5, 65)(6, 83)(7, 86)(8, 66)(9, 90)(10, 94)(11, 96)(12, 99)(13, 85)(14, 68)(15, 103)(16, 104)(17, 69)(18, 75)(19, 108)(20, 70)(21, 112)(22, 79)(23, 116)(24, 118)(25, 119)(26, 72)(27, 114)(28, 73)(29, 111)(30, 106)(31, 80)(32, 110)(33, 120)(34, 81)(35, 107)(36, 77)(37, 121)(38, 78)(39, 109)(40, 113)(41, 123)(42, 87)(43, 82)(44, 88)(45, 105)(46, 126)(47, 92)(48, 84)(49, 102)(50, 100)(51, 89)(52, 124)(53, 95)(54, 97)(55, 98)(56, 101)(57, 91)(58, 93)(59, 127)(60, 128)(61, 115)(62, 117)(63, 122)(64, 125)
	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 :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2056 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = $<128, 87>$ (small group id <128, 87>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T2 * T1^-1 * T2^-1 * T1^-3, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-2, (T2^2 * T1^-2)^2, T1^-3 * T2^-1 * T1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^-2 * T2^-2 * T1^-1, T1 * T2 * T1^-1 * T2^11 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 42, 23, 52, 60, 64, 61, 51, 25, 55, 34, 17, 5)(2, 7, 22, 15, 39, 45, 41, 59, 63, 58, 29, 47, 28, 9, 26, 8)(4, 12, 35, 43, 18, 11, 32, 46, 62, 53, 31, 16, 40, 49, 38, 14)(6, 19, 44, 24, 54, 33, 56, 37, 57, 27, 50, 36, 13, 21, 48, 20)(65, 66, 70, 82, 106, 103, 118, 126, 128, 127, 121, 104, 119, 92, 77, 68)(67, 73, 91, 117, 87, 71, 85, 113, 125, 109, 83, 76, 98, 122, 97, 75)(69, 79, 101, 78, 94, 123, 100, 107, 124, 111, 84, 110, 89, 72, 88, 80)(74, 93, 108, 102, 116, 90, 120, 99, 115, 86, 114, 96, 81, 105, 112, 95)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2057
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2057 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = $<128, 87>$ (small group id <128, 87>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2^4, T1 * T2 * F * T1^-1 * F, T1^-1 * T2^-1 * T1^-3 * T2, T2 * T1^-2 * T2^2 * T1^-1 * T2 * T1^-1, T2^-1 * F * T1^2 * F * T1^2 * T2^-1, T1^-3 * T2^-1 * T1 * T2 * T1^-2, (T2 * T1 * F * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 33, 97, 14, 78)(6, 70, 18, 82, 43, 107, 19, 83)(9, 73, 26, 90, 46, 110, 27, 91)(11, 75, 30, 94, 42, 106, 17, 81)(13, 77, 20, 84, 48, 112, 34, 98)(15, 79, 37, 101, 44, 108, 38, 102)(16, 80, 39, 103, 47, 111, 40, 104)(22, 86, 51, 115, 35, 99, 41, 105)(23, 87, 53, 117, 31, 95, 54, 118)(24, 88, 55, 119, 32, 96, 56, 120)(25, 89, 49, 113, 36, 100, 57, 121)(28, 92, 58, 122, 63, 127, 59, 123)(29, 93, 45, 109, 62, 126, 52, 116)(50, 114, 60, 124, 64, 128, 61, 125)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 92)(11, 67)(12, 96)(13, 68)(14, 99)(15, 100)(16, 69)(17, 105)(18, 76)(19, 109)(20, 111)(21, 113)(22, 71)(23, 80)(24, 72)(25, 116)(26, 118)(27, 77)(28, 107)(29, 74)(30, 120)(31, 75)(32, 123)(33, 114)(34, 106)(35, 122)(36, 78)(37, 117)(38, 112)(39, 119)(40, 115)(41, 101)(42, 124)(43, 104)(44, 82)(45, 88)(46, 83)(47, 125)(48, 93)(49, 94)(50, 85)(51, 90)(52, 86)(53, 126)(54, 97)(55, 91)(56, 102)(57, 103)(58, 98)(59, 95)(60, 110)(61, 108)(62, 128)(63, 121)(64, 127)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2056
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2058 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 16, 16})
Quotient :: edge^2
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = $<128, 87>$ (small group id <128, 87>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y1^-3 * Y2^-1 * Y1 * Y2 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^4, Y1 * Y2 * Y1^-1 * Y2^11 ]
Map:: polytopal
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 130, 134, 146, 170, 167, 182, 190, 192, 191, 185, 168, 183, 156, 141, 132)(131, 137, 155, 181, 151, 135, 149, 177, 189, 173, 147, 140, 162, 186, 161, 139)(133, 143, 165, 142, 158, 187, 164, 171, 188, 175, 148, 174, 153, 136, 152, 144)(138, 157, 172, 166, 180, 154, 184, 163, 179, 150, 178, 160, 145, 169, 176, 159)(193, 195, 202, 222, 234, 215, 244, 252, 256, 253, 243, 217, 247, 226, 209, 197)(194, 199, 214, 207, 231, 237, 233, 251, 255, 250, 221, 239, 220, 201, 218, 200)(196, 204, 227, 235, 210, 203, 224, 238, 254, 245, 223, 208, 232, 241, 230, 206)(198, 211, 236, 216, 246, 225, 248, 229, 249, 219, 242, 228, 205, 213, 240, 212)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2061
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2059 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 16, 16})
Quotient :: edge^2
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = $<128, 87>$ (small group id <128, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^-1 * Y1^2 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2^-2 * Y3, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^16, Y2^16 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68, 17, 81, 7, 71)(2, 66, 9, 73, 35, 99, 11, 75)(3, 67, 5, 69, 21, 85, 15, 79)(6, 70, 25, 89, 47, 111, 27, 91)(8, 72, 32, 96, 13, 77, 14, 78)(10, 74, 38, 102, 53, 117, 39, 103)(12, 76, 34, 98, 36, 100, 44, 108)(16, 80, 18, 82, 45, 109, 51, 115)(19, 83, 42, 106, 62, 126, 46, 110)(20, 84, 22, 86, 54, 118, 26, 90)(23, 87, 40, 104, 41, 105, 57, 121)(24, 88, 37, 101, 49, 113, 50, 114)(28, 92, 43, 107, 59, 123, 56, 120)(29, 93, 30, 94, 31, 95, 55, 119)(33, 97, 52, 116, 61, 125, 60, 124)(48, 112, 63, 127, 64, 128, 58, 122)(129, 130, 136, 159, 185, 155, 167, 188, 192, 190, 178, 144, 162, 171, 150, 133)(131, 140, 170, 181, 158, 135, 156, 177, 189, 169, 139, 148, 179, 191, 175, 142)(132, 134, 152, 149, 151, 174, 182, 183, 186, 187, 160, 161, 164, 137, 138, 146)(141, 173, 168, 184, 166, 143, 176, 163, 165, 157, 172, 153, 154, 180, 145, 147)(193, 195, 205, 238, 249, 222, 230, 251, 256, 253, 229, 201, 226, 243, 218, 198)(194, 199, 221, 216, 219, 233, 244, 246, 254, 255, 237, 224, 235, 204, 207, 202)(196, 208, 241, 248, 215, 197, 212, 227, 250, 223, 206, 217, 228, 252, 245, 211)(200, 203, 232, 210, 231, 239, 240, 213, 242, 234, 236, 247, 214, 220, 209, 225)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2060
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2060 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 16, 16})
Quotient :: loop^2
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = $<128, 87>$ (small group id <128, 87>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, Y1^-3 * Y2^-1 * Y1 * Y2 * Y1^-2, (Y1^-1 * Y3^-1 * Y2^-1)^4, Y1 * Y2 * Y1^-1 * Y2^11 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193)(2, 66, 130, 194)(3, 67, 131, 195)(4, 68, 132, 196)(5, 69, 133, 197)(6, 70, 134, 198)(7, 71, 135, 199)(8, 72, 136, 200)(9, 73, 137, 201)(10, 74, 138, 202)(11, 75, 139, 203)(12, 76, 140, 204)(13, 77, 141, 205)(14, 78, 142, 206)(15, 79, 143, 207)(16, 80, 144, 208)(17, 81, 145, 209)(18, 82, 146, 210)(19, 83, 147, 211)(20, 84, 148, 212)(21, 85, 149, 213)(22, 86, 150, 214)(23, 87, 151, 215)(24, 88, 152, 216)(25, 89, 153, 217)(26, 90, 154, 218)(27, 91, 155, 219)(28, 92, 156, 220)(29, 93, 157, 221)(30, 94, 158, 222)(31, 95, 159, 223)(32, 96, 160, 224)(33, 97, 161, 225)(34, 98, 162, 226)(35, 99, 163, 227)(36, 100, 164, 228)(37, 101, 165, 229)(38, 102, 166, 230)(39, 103, 167, 231)(40, 104, 168, 232)(41, 105, 169, 233)(42, 106, 170, 234)(43, 107, 171, 235)(44, 108, 172, 236)(45, 109, 173, 237)(46, 110, 174, 238)(47, 111, 175, 239)(48, 112, 176, 240)(49, 113, 177, 241)(50, 114, 178, 242)(51, 115, 179, 243)(52, 116, 180, 244)(53, 117, 181, 245)(54, 118, 182, 246)(55, 119, 183, 247)(56, 120, 184, 248)(57, 121, 185, 249)(58, 122, 186, 250)(59, 123, 187, 251)(60, 124, 188, 252)(61, 125, 189, 253)(62, 126, 190, 254)(63, 127, 191, 255)(64, 128, 192, 256)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 82)(7, 85)(8, 88)(9, 91)(10, 93)(11, 67)(12, 98)(13, 68)(14, 94)(15, 101)(16, 69)(17, 105)(18, 106)(19, 76)(20, 110)(21, 113)(22, 114)(23, 71)(24, 80)(25, 72)(26, 120)(27, 117)(28, 77)(29, 108)(30, 123)(31, 74)(32, 81)(33, 75)(34, 122)(35, 115)(36, 107)(37, 78)(38, 116)(39, 118)(40, 119)(41, 112)(42, 103)(43, 124)(44, 102)(45, 83)(46, 89)(47, 84)(48, 95)(49, 125)(50, 96)(51, 86)(52, 90)(53, 87)(54, 126)(55, 92)(56, 99)(57, 104)(58, 97)(59, 100)(60, 111)(61, 109)(62, 128)(63, 121)(64, 127)(129, 195)(130, 199)(131, 202)(132, 204)(133, 193)(134, 211)(135, 214)(136, 194)(137, 218)(138, 222)(139, 224)(140, 227)(141, 213)(142, 196)(143, 231)(144, 232)(145, 197)(146, 203)(147, 236)(148, 198)(149, 240)(150, 207)(151, 244)(152, 246)(153, 247)(154, 200)(155, 242)(156, 201)(157, 239)(158, 234)(159, 208)(160, 238)(161, 248)(162, 209)(163, 235)(164, 205)(165, 249)(166, 206)(167, 237)(168, 241)(169, 251)(170, 215)(171, 210)(172, 216)(173, 233)(174, 254)(175, 220)(176, 212)(177, 230)(178, 228)(179, 217)(180, 252)(181, 223)(182, 225)(183, 226)(184, 229)(185, 219)(186, 221)(187, 255)(188, 256)(189, 243)(190, 245)(191, 250)(192, 253)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2059
Transitivity :: VT+
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2061 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 16, 16})
Quotient :: loop^2
Aut^+ = C16 : C4 (small group id <64, 28>)
Aut   = $<128, 87>$ (small group id <128, 87>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^-1 * Y1^2 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2^-2 * Y3, Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y1^16, Y2^16 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 17, 81, 145, 209, 7, 71, 135, 199)(2, 66, 130, 194, 9, 73, 137, 201, 35, 99, 163, 227, 11, 75, 139, 203)(3, 67, 131, 195, 5, 69, 133, 197, 21, 85, 149, 213, 15, 79, 143, 207)(6, 70, 134, 198, 25, 89, 153, 217, 47, 111, 175, 239, 27, 91, 155, 219)(8, 72, 136, 200, 32, 96, 160, 224, 13, 77, 141, 205, 14, 78, 142, 206)(10, 74, 138, 202, 38, 102, 166, 230, 53, 117, 181, 245, 39, 103, 167, 231)(12, 76, 140, 204, 34, 98, 162, 226, 36, 100, 164, 228, 44, 108, 172, 236)(16, 80, 144, 208, 18, 82, 146, 210, 45, 109, 173, 237, 51, 115, 179, 243)(19, 83, 147, 211, 42, 106, 170, 234, 62, 126, 190, 254, 46, 110, 174, 238)(20, 84, 148, 212, 22, 86, 150, 214, 54, 118, 182, 246, 26, 90, 154, 218)(23, 87, 151, 215, 40, 104, 168, 232, 41, 105, 169, 233, 57, 121, 185, 249)(24, 88, 152, 216, 37, 101, 165, 229, 49, 113, 177, 241, 50, 114, 178, 242)(28, 92, 156, 220, 43, 107, 171, 235, 59, 123, 187, 251, 56, 120, 184, 248)(29, 93, 157, 221, 30, 94, 158, 222, 31, 95, 159, 223, 55, 119, 183, 247)(33, 97, 161, 225, 52, 116, 180, 244, 61, 125, 189, 253, 60, 124, 188, 252)(48, 112, 176, 240, 63, 127, 191, 255, 64, 128, 192, 256, 58, 122, 186, 250)
	L = (1, 66)(2, 72)(3, 76)(4, 70)(5, 65)(6, 88)(7, 92)(8, 95)(9, 74)(10, 82)(11, 84)(12, 106)(13, 109)(14, 67)(15, 112)(16, 98)(17, 83)(18, 68)(19, 77)(20, 115)(21, 87)(22, 69)(23, 110)(24, 85)(25, 90)(26, 116)(27, 103)(28, 113)(29, 108)(30, 71)(31, 121)(32, 97)(33, 100)(34, 107)(35, 101)(36, 73)(37, 93)(38, 79)(39, 124)(40, 120)(41, 75)(42, 117)(43, 86)(44, 89)(45, 104)(46, 118)(47, 78)(48, 99)(49, 125)(50, 80)(51, 127)(52, 81)(53, 94)(54, 119)(55, 122)(56, 102)(57, 91)(58, 123)(59, 96)(60, 128)(61, 105)(62, 114)(63, 111)(64, 126)(129, 195)(130, 199)(131, 205)(132, 208)(133, 212)(134, 193)(135, 221)(136, 203)(137, 226)(138, 194)(139, 232)(140, 207)(141, 238)(142, 217)(143, 202)(144, 241)(145, 225)(146, 231)(147, 196)(148, 227)(149, 242)(150, 220)(151, 197)(152, 219)(153, 228)(154, 198)(155, 233)(156, 209)(157, 216)(158, 230)(159, 206)(160, 235)(161, 200)(162, 243)(163, 250)(164, 252)(165, 201)(166, 251)(167, 239)(168, 210)(169, 244)(170, 236)(171, 204)(172, 247)(173, 224)(174, 249)(175, 240)(176, 213)(177, 248)(178, 234)(179, 218)(180, 246)(181, 211)(182, 254)(183, 214)(184, 215)(185, 222)(186, 223)(187, 256)(188, 245)(189, 229)(190, 255)(191, 237)(192, 253)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2058
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2062 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1, T1^-1)^2, T2^2 * T1^-1 * T2^6 * T1^-1, T2^-1 * 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^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 27, 46, 54, 36, 18, 6, 17, 35, 53, 52, 34, 16, 5)(2, 7, 20, 39, 56, 49, 31, 13, 4, 12, 28, 48, 60, 44, 24, 8)(9, 25, 45, 61, 51, 33, 15, 30, 11, 29, 47, 62, 50, 32, 14, 26)(19, 37, 55, 63, 59, 43, 23, 41, 21, 40, 57, 64, 58, 42, 22, 38)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 101, 93, 104)(90, 102, 94, 105)(91, 109, 117, 111)(96, 106, 97, 107)(98, 114, 118, 115)(103, 119, 112, 121)(108, 122, 113, 123)(110, 120, 116, 124)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2063
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2063 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^2 * T2^-1 * T1, T2^2 * T1 * T2^-2 * T1^-1, (T2^-1, T1^-1)^2, T2^2 * T1^-1 * T2^6 * T1^-1, T2^-1 * 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^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 54, 118, 36, 100, 18, 82, 6, 70, 17, 81, 35, 99, 53, 117, 52, 116, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 49, 113, 31, 95, 13, 77, 4, 68, 12, 76, 28, 92, 48, 112, 60, 124, 44, 108, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 61, 125, 51, 115, 33, 97, 15, 79, 30, 94, 11, 75, 29, 93, 47, 111, 62, 126, 50, 114, 32, 96, 14, 78, 26, 90)(19, 83, 37, 101, 55, 119, 63, 127, 59, 123, 43, 107, 23, 87, 41, 105, 21, 85, 40, 104, 57, 121, 64, 128, 58, 122, 42, 106, 22, 86, 38, 102)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 101)(26, 102)(27, 109)(28, 74)(29, 104)(30, 105)(31, 80)(32, 106)(33, 107)(34, 114)(35, 92)(36, 95)(37, 93)(38, 94)(39, 119)(40, 89)(41, 90)(42, 97)(43, 96)(44, 122)(45, 117)(46, 120)(47, 91)(48, 121)(49, 123)(50, 118)(51, 98)(52, 124)(53, 111)(54, 115)(55, 112)(56, 116)(57, 103)(58, 113)(59, 108)(60, 110)(61, 127)(62, 128)(63, 126)(64, 125)
	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 E21.2062
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y3^-1 * Y2^-2 * Y3 * Y2^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^8 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 38, 102, 30, 94, 41, 105)(27, 91, 45, 109, 53, 117, 47, 111)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 50, 114, 54, 118, 51, 115)(39, 103, 55, 119, 48, 112, 57, 121)(44, 108, 58, 122, 49, 113, 59, 123)(46, 110, 56, 120, 52, 116, 60, 124)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 182, 246, 164, 228, 146, 210, 134, 198, 145, 209, 163, 227, 181, 245, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 177, 241, 159, 223, 141, 205, 132, 196, 140, 204, 156, 220, 176, 240, 188, 252, 172, 236, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 189, 253, 179, 243, 161, 225, 143, 207, 158, 222, 139, 203, 157, 221, 175, 239, 190, 254, 178, 242, 160, 224, 142, 206, 154, 218)(147, 211, 165, 229, 183, 247, 191, 255, 187, 251, 171, 235, 151, 215, 169, 233, 149, 213, 168, 232, 185, 249, 192, 256, 186, 250, 170, 234, 150, 214, 166, 230)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 168)(26, 169)(27, 175)(28, 163)(29, 165)(30, 166)(31, 164)(32, 171)(33, 170)(34, 179)(35, 148)(36, 152)(37, 153)(38, 154)(39, 185)(40, 157)(41, 158)(42, 160)(43, 161)(44, 187)(45, 155)(46, 188)(47, 181)(48, 183)(49, 186)(50, 162)(51, 182)(52, 184)(53, 173)(54, 178)(55, 167)(56, 174)(57, 176)(58, 172)(59, 177)(60, 180)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2065
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 29>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1, Y1)^2, (Y3 * Y2^-1)^4, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3^2 * Y1^-7, Y3^-1 * Y1^-5 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-5 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 45, 109, 27, 91, 10, 74, 21, 85, 39, 103, 57, 121, 50, 114, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 54, 118, 52, 116, 33, 97, 16, 80, 5, 69, 15, 79, 19, 83, 40, 104, 55, 119, 47, 111, 29, 93, 11, 75)(7, 71, 20, 84, 36, 100, 56, 120, 51, 115, 34, 98, 14, 78, 24, 88, 8, 72, 23, 87, 37, 101, 58, 122, 49, 113, 31, 95, 12, 76, 22, 86)(25, 89, 41, 105, 59, 123, 63, 127, 62, 126, 48, 112, 30, 94, 44, 108, 26, 90, 42, 106, 60, 124, 64, 128, 61, 125, 46, 110, 28, 92, 43, 107)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 173)(30, 139)(31, 174)(32, 177)(33, 141)(34, 176)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 162)(47, 189)(48, 159)(49, 181)(50, 183)(51, 160)(52, 190)(53, 179)(54, 178)(55, 163)(56, 191)(57, 165)(58, 192)(59, 168)(60, 166)(61, 180)(62, 175)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2064
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2066 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T1 * T2^2 * T1 * T2^-2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^6 * T1^-1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 48, 54, 36, 18, 6, 17, 35, 53, 52, 34, 16, 5)(2, 7, 20, 39, 57, 49, 31, 13, 4, 12, 27, 46, 60, 44, 24, 8)(9, 25, 45, 61, 50, 32, 14, 30, 11, 29, 47, 62, 51, 33, 15, 26)(19, 37, 55, 63, 58, 42, 22, 41, 21, 40, 56, 64, 59, 43, 23, 38)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 84)(80, 95, 100, 88)(89, 104, 93, 101)(90, 102, 94, 105)(92, 111, 117, 109)(96, 107, 97, 106)(98, 115, 118, 114)(103, 120, 110, 119)(108, 123, 113, 122)(112, 121, 116, 124)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2067
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2067 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T1 * T2^2 * T1 * T2^-2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^6 * T1^-1 * T2^2 * T1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 48, 112, 54, 118, 36, 100, 18, 82, 6, 70, 17, 81, 35, 99, 53, 117, 52, 116, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 57, 121, 49, 113, 31, 95, 13, 77, 4, 68, 12, 76, 27, 91, 46, 110, 60, 124, 44, 108, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 61, 125, 50, 114, 32, 96, 14, 78, 30, 94, 11, 75, 29, 93, 47, 111, 62, 126, 51, 115, 33, 97, 15, 79, 26, 90)(19, 83, 37, 101, 55, 119, 63, 127, 58, 122, 42, 106, 22, 86, 41, 105, 21, 85, 40, 104, 56, 120, 64, 128, 59, 123, 43, 107, 23, 87, 38, 102)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 104)(26, 102)(27, 99)(28, 111)(29, 101)(30, 105)(31, 100)(32, 107)(33, 106)(34, 115)(35, 84)(36, 88)(37, 89)(38, 94)(39, 120)(40, 93)(41, 90)(42, 96)(43, 97)(44, 123)(45, 92)(46, 119)(47, 117)(48, 121)(49, 122)(50, 98)(51, 118)(52, 124)(53, 109)(54, 114)(55, 103)(56, 110)(57, 116)(58, 108)(59, 113)(60, 112)(61, 127)(62, 128)(63, 126)(64, 125)
	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 E21.2066
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^2 * Y1 * Y2^-2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * R * Y1^-1 * Y2^-2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2^8 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 20, 84)(16, 80, 31, 95, 36, 100, 24, 88)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 38, 102, 30, 94, 41, 105)(28, 92, 47, 111, 53, 117, 45, 109)(32, 96, 43, 107, 33, 97, 42, 106)(34, 98, 51, 115, 54, 118, 50, 114)(39, 103, 56, 120, 46, 110, 55, 119)(44, 108, 59, 123, 49, 113, 58, 122)(48, 112, 57, 121, 52, 116, 60, 124)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 182, 246, 164, 228, 146, 210, 134, 198, 145, 209, 163, 227, 181, 245, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 185, 249, 177, 241, 159, 223, 141, 205, 132, 196, 140, 204, 155, 219, 174, 238, 188, 252, 172, 236, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 189, 253, 178, 242, 160, 224, 142, 206, 158, 222, 139, 203, 157, 221, 175, 239, 190, 254, 179, 243, 161, 225, 143, 207, 154, 218)(147, 211, 165, 229, 183, 247, 191, 255, 186, 250, 170, 234, 150, 214, 169, 233, 149, 213, 168, 232, 184, 248, 192, 256, 187, 251, 171, 235, 151, 215, 166, 230)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 163)(21, 140)(22, 136)(23, 141)(24, 164)(25, 165)(26, 169)(27, 138)(28, 173)(29, 168)(30, 166)(31, 144)(32, 170)(33, 171)(34, 178)(35, 155)(36, 159)(37, 157)(38, 154)(39, 183)(40, 153)(41, 158)(42, 161)(43, 160)(44, 186)(45, 181)(46, 184)(47, 156)(48, 188)(49, 187)(50, 182)(51, 162)(52, 185)(53, 175)(54, 179)(55, 174)(56, 167)(57, 176)(58, 177)(59, 172)(60, 180)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2069
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 30>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3 * Y1^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1^-1 * Y3^2 * Y1^-7, (Y1^-2 * Y3^-1 * Y1^-2)^2, Y3^-1 * Y1^3 * Y3 * Y1 * Y3 * Y1^3 * Y3 * Y1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 45, 109, 27, 91, 10, 74, 21, 85, 39, 103, 57, 121, 52, 116, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 40, 104, 54, 118, 50, 114, 32, 96, 16, 80, 5, 69, 15, 79, 18, 82, 38, 102, 55, 119, 47, 111, 29, 93, 11, 75)(7, 71, 20, 84, 37, 101, 58, 122, 49, 113, 31, 95, 12, 76, 24, 88, 8, 72, 23, 87, 36, 100, 56, 120, 51, 115, 34, 98, 14, 78, 22, 86)(25, 89, 42, 106, 59, 123, 64, 128, 61, 125, 46, 110, 28, 92, 44, 108, 26, 90, 41, 105, 60, 124, 63, 127, 62, 126, 48, 112, 30, 94, 43, 107)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 160)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 141)(30, 139)(31, 176)(32, 173)(33, 179)(34, 174)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 157)(46, 159)(47, 190)(48, 162)(49, 161)(50, 189)(51, 181)(52, 183)(53, 177)(54, 180)(55, 163)(56, 191)(57, 165)(58, 192)(59, 168)(60, 166)(61, 175)(62, 178)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2068
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2070 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, (T2^2 * T1 * T2^2)^2, (T2^-1 * T1)^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 48, 54, 36, 18, 6, 17, 35, 53, 52, 34, 16, 5)(2, 7, 20, 39, 57, 49, 31, 13, 4, 12, 27, 46, 60, 44, 24, 8)(9, 25, 45, 61, 50, 32, 14, 30, 11, 29, 47, 62, 51, 33, 15, 26)(19, 37, 55, 63, 58, 42, 22, 41, 21, 40, 56, 64, 59, 43, 23, 38)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 84)(80, 95, 100, 88)(89, 101, 93, 104)(90, 105, 94, 102)(92, 111, 117, 109)(96, 106, 97, 107)(98, 115, 118, 114)(103, 120, 110, 119)(108, 123, 113, 122)(112, 121, 116, 124)(125, 128, 126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2074
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2071 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2 * T1^-1 * T2^-2 * T1 * T2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^4 * T1 * T2^2 * T1 * T2^2, T1^-1 * T2^-1 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 54, 36, 18, 6, 17, 35, 53, 52, 34, 16, 5)(2, 7, 20, 39, 56, 49, 31, 13, 4, 12, 28, 48, 60, 44, 24, 8)(9, 25, 45, 61, 51, 33, 15, 30, 11, 29, 47, 62, 50, 32, 14, 26)(19, 37, 55, 63, 59, 43, 23, 41, 21, 40, 57, 64, 58, 42, 22, 38)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 104, 93, 101)(90, 105, 94, 102)(91, 109, 117, 111)(96, 107, 97, 106)(98, 114, 118, 115)(103, 119, 112, 121)(108, 122, 113, 123)(110, 120, 116, 124)(125, 128, 126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2073
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2072 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^3 * T2 * T1^-1, T2^2 * T1 * T2^-2 * T1^-1, T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-2, T2^5 * T1^-1 * T2 * T1^-1, T2^-2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 * T1, T1^-3 * T2 * T1 * T2 * T1^-4 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 42, 24, 50, 21, 49, 37, 60, 35, 58, 41, 17, 5)(2, 7, 22, 51, 61, 46, 62, 44, 40, 16, 33, 11, 31, 56, 26, 8)(4, 12, 30, 43, 18, 15, 28, 9, 27, 52, 64, 54, 63, 47, 38, 14)(6, 19, 45, 34, 57, 32, 59, 39, 55, 25, 53, 23, 13, 36, 48, 20)(65, 66, 70, 82, 106, 125, 121, 91, 113, 104, 119, 127, 122, 95, 77, 68)(67, 73, 89, 72, 88, 118, 100, 115, 101, 78, 83, 108, 105, 107, 96, 75)(69, 79, 103, 120, 93, 116, 87, 71, 85, 111, 84, 110, 99, 76, 98, 80)(74, 86, 109, 92, 114, 126, 123, 128, 124, 97, 117, 102, 81, 90, 112, 94)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2075
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2073 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, (T2^2 * T1 * T2^2)^2, (T2^-1 * T1)^16 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 48, 112, 54, 118, 36, 100, 18, 82, 6, 70, 17, 81, 35, 99, 53, 117, 52, 116, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 57, 121, 49, 113, 31, 95, 13, 77, 4, 68, 12, 76, 27, 91, 46, 110, 60, 124, 44, 108, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 61, 125, 50, 114, 32, 96, 14, 78, 30, 94, 11, 75, 29, 93, 47, 111, 62, 126, 51, 115, 33, 97, 15, 79, 26, 90)(19, 83, 37, 101, 55, 119, 63, 127, 58, 122, 42, 106, 22, 86, 41, 105, 21, 85, 40, 104, 56, 120, 64, 128, 59, 123, 43, 107, 23, 87, 38, 102)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 101)(26, 105)(27, 99)(28, 111)(29, 104)(30, 102)(31, 100)(32, 106)(33, 107)(34, 115)(35, 84)(36, 88)(37, 93)(38, 90)(39, 120)(40, 89)(41, 94)(42, 97)(43, 96)(44, 123)(45, 92)(46, 119)(47, 117)(48, 121)(49, 122)(50, 98)(51, 118)(52, 124)(53, 109)(54, 114)(55, 103)(56, 110)(57, 116)(58, 108)(59, 113)(60, 112)(61, 128)(62, 127)(63, 125)(64, 126)
	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 E21.2071
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2074 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2 * T1^-1 * T2^-2 * T1 * T2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^4 * T1 * T2^2 * T1 * T2^2, T1^-1 * T2^-1 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 54, 118, 36, 100, 18, 82, 6, 70, 17, 81, 35, 99, 53, 117, 52, 116, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 49, 113, 31, 95, 13, 77, 4, 68, 12, 76, 28, 92, 48, 112, 60, 124, 44, 108, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 61, 125, 51, 115, 33, 97, 15, 79, 30, 94, 11, 75, 29, 93, 47, 111, 62, 126, 50, 114, 32, 96, 14, 78, 26, 90)(19, 83, 37, 101, 55, 119, 63, 127, 59, 123, 43, 107, 23, 87, 41, 105, 21, 85, 40, 104, 57, 121, 64, 128, 58, 122, 42, 106, 22, 86, 38, 102)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 104)(26, 105)(27, 109)(28, 74)(29, 101)(30, 102)(31, 80)(32, 107)(33, 106)(34, 114)(35, 92)(36, 95)(37, 89)(38, 90)(39, 119)(40, 93)(41, 94)(42, 96)(43, 97)(44, 122)(45, 117)(46, 120)(47, 91)(48, 121)(49, 123)(50, 118)(51, 98)(52, 124)(53, 111)(54, 115)(55, 112)(56, 116)(57, 103)(58, 113)(59, 108)(60, 110)(61, 128)(62, 127)(63, 125)(64, 126)
	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 E21.2070
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2075 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T1^-1 * T2 * T1^2 * T2 * T1^-1, (T1^-1, T2, T1^-1), T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T1^-3 * T2^-1 * T1^-2 * T2 * T1^-3, (T2 * T1^-1)^16 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 27, 91, 14, 78)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 25, 89, 15, 79, 26, 90)(11, 75, 28, 92, 16, 80, 30, 94)(13, 77, 32, 96, 45, 109, 29, 93)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 46, 110, 34, 98, 48, 112)(33, 97, 51, 115, 53, 117, 49, 113)(35, 99, 54, 118, 52, 116, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(47, 111, 62, 126, 50, 114, 61, 125)(56, 120, 63, 127, 58, 122, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 83)(10, 85)(11, 67)(12, 88)(13, 68)(14, 86)(15, 82)(16, 69)(17, 99)(18, 102)(19, 104)(20, 101)(21, 103)(22, 71)(23, 100)(24, 72)(25, 105)(26, 106)(27, 74)(28, 107)(29, 75)(30, 108)(31, 76)(32, 80)(33, 77)(34, 78)(35, 117)(36, 120)(37, 122)(38, 119)(39, 121)(40, 118)(41, 123)(42, 124)(43, 90)(44, 89)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 96)(51, 98)(52, 97)(53, 109)(54, 114)(55, 111)(56, 115)(57, 116)(58, 113)(59, 127)(60, 128)(61, 110)(62, 112)(63, 125)(64, 126)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2072
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * R * Y3 * Y2^-2 * R * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^8 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 20, 84)(16, 80, 31, 95, 36, 100, 24, 88)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 41, 105, 30, 94, 38, 102)(28, 92, 47, 111, 53, 117, 45, 109)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 51, 115, 54, 118, 50, 114)(39, 103, 56, 120, 46, 110, 55, 119)(44, 108, 59, 123, 49, 113, 58, 122)(48, 112, 57, 121, 52, 116, 60, 124)(61, 125, 64, 128, 62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 182, 246, 164, 228, 146, 210, 134, 198, 145, 209, 163, 227, 181, 245, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 185, 249, 177, 241, 159, 223, 141, 205, 132, 196, 140, 204, 155, 219, 174, 238, 188, 252, 172, 236, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 189, 253, 178, 242, 160, 224, 142, 206, 158, 222, 139, 203, 157, 221, 175, 239, 190, 254, 179, 243, 161, 225, 143, 207, 154, 218)(147, 211, 165, 229, 183, 247, 191, 255, 186, 250, 170, 234, 150, 214, 169, 233, 149, 213, 168, 232, 184, 248, 192, 256, 187, 251, 171, 235, 151, 215, 166, 230)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 163)(21, 140)(22, 136)(23, 141)(24, 164)(25, 168)(26, 166)(27, 138)(28, 173)(29, 165)(30, 169)(31, 144)(32, 171)(33, 170)(34, 178)(35, 155)(36, 159)(37, 153)(38, 158)(39, 183)(40, 157)(41, 154)(42, 160)(43, 161)(44, 186)(45, 181)(46, 184)(47, 156)(48, 188)(49, 187)(50, 182)(51, 162)(52, 185)(53, 175)(54, 179)(55, 174)(56, 167)(57, 176)(58, 177)(59, 172)(60, 180)(61, 191)(62, 192)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2081
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-2 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y3^2 * Y2^-1 * Y1^-2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^6 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 41, 105, 30, 94, 38, 102)(27, 91, 45, 109, 53, 117, 47, 111)(32, 96, 43, 107, 33, 97, 42, 106)(34, 98, 50, 114, 54, 118, 51, 115)(39, 103, 55, 119, 48, 112, 57, 121)(44, 108, 58, 122, 49, 113, 59, 123)(46, 110, 56, 120, 52, 116, 60, 124)(61, 125, 64, 128, 62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 182, 246, 164, 228, 146, 210, 134, 198, 145, 209, 163, 227, 181, 245, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 177, 241, 159, 223, 141, 205, 132, 196, 140, 204, 156, 220, 176, 240, 188, 252, 172, 236, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 189, 253, 179, 243, 161, 225, 143, 207, 158, 222, 139, 203, 157, 221, 175, 239, 190, 254, 178, 242, 160, 224, 142, 206, 154, 218)(147, 211, 165, 229, 183, 247, 191, 255, 187, 251, 171, 235, 151, 215, 169, 233, 149, 213, 168, 232, 185, 249, 192, 256, 186, 250, 170, 234, 150, 214, 166, 230)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 165)(26, 166)(27, 175)(28, 163)(29, 168)(30, 169)(31, 164)(32, 170)(33, 171)(34, 179)(35, 148)(36, 152)(37, 157)(38, 158)(39, 185)(40, 153)(41, 154)(42, 161)(43, 160)(44, 187)(45, 155)(46, 188)(47, 181)(48, 183)(49, 186)(50, 162)(51, 182)(52, 184)(53, 173)(54, 178)(55, 167)(56, 174)(57, 176)(58, 172)(59, 177)(60, 180)(61, 191)(62, 192)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2080
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y1^2, Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-2, (Y3^-1 * Y1^-1)^4, Y1^-3 * Y2 * Y1 * Y2 * Y1^-4, Y2^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 61, 125, 57, 121, 27, 91, 49, 113, 40, 104, 55, 119, 63, 127, 58, 122, 31, 95, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 8, 72, 24, 88, 54, 118, 36, 100, 51, 115, 37, 101, 14, 78, 19, 83, 44, 108, 41, 105, 43, 107, 32, 96, 11, 75)(5, 69, 15, 79, 39, 103, 56, 120, 29, 93, 52, 116, 23, 87, 7, 71, 21, 85, 47, 111, 20, 84, 46, 110, 35, 99, 12, 76, 34, 98, 16, 80)(10, 74, 22, 86, 45, 109, 28, 92, 50, 114, 62, 126, 59, 123, 64, 128, 60, 124, 33, 97, 53, 117, 38, 102, 17, 81, 26, 90, 48, 112, 30, 94)(129, 193, 131, 195, 138, 202, 157, 221, 170, 234, 152, 216, 178, 242, 149, 213, 177, 241, 165, 229, 188, 252, 163, 227, 186, 250, 169, 233, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 179, 243, 189, 253, 174, 238, 190, 254, 172, 236, 168, 232, 144, 208, 161, 225, 139, 203, 159, 223, 184, 248, 154, 218, 136, 200)(132, 196, 140, 204, 158, 222, 171, 235, 146, 210, 143, 207, 156, 220, 137, 201, 155, 219, 180, 244, 192, 256, 182, 246, 191, 255, 175, 239, 166, 230, 142, 206)(134, 198, 147, 211, 173, 237, 162, 226, 185, 249, 160, 224, 187, 251, 167, 231, 183, 247, 153, 217, 181, 245, 151, 215, 141, 205, 164, 228, 176, 240, 148, 212)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 157)(11, 159)(12, 158)(13, 164)(14, 132)(15, 156)(16, 161)(17, 133)(18, 143)(19, 173)(20, 134)(21, 177)(22, 179)(23, 141)(24, 178)(25, 181)(26, 136)(27, 180)(28, 137)(29, 170)(30, 171)(31, 184)(32, 187)(33, 139)(34, 185)(35, 186)(36, 176)(37, 188)(38, 142)(39, 183)(40, 144)(41, 145)(42, 152)(43, 146)(44, 168)(45, 162)(46, 190)(47, 166)(48, 148)(49, 165)(50, 149)(51, 189)(52, 192)(53, 151)(54, 191)(55, 153)(56, 154)(57, 160)(58, 169)(59, 167)(60, 163)(61, 174)(62, 172)(63, 175)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 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 E21.2079
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^8 * Y2^-1, Y3^4 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 163, 227, 148, 212)(144, 208, 159, 223, 164, 228, 152, 216)(153, 217, 165, 229, 157, 221, 168, 232)(154, 218, 169, 233, 158, 222, 166, 230)(156, 220, 175, 239, 181, 245, 173, 237)(160, 224, 170, 234, 161, 225, 171, 235)(162, 226, 179, 243, 182, 246, 178, 242)(167, 231, 184, 248, 174, 238, 183, 247)(172, 236, 187, 251, 177, 241, 186, 250)(176, 240, 185, 249, 180, 244, 188, 252)(189, 253, 192, 256, 190, 254, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 155)(13, 132)(14, 158)(15, 154)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 169)(23, 166)(24, 136)(25, 173)(26, 137)(27, 174)(28, 176)(29, 175)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 181)(36, 146)(37, 183)(38, 147)(39, 185)(40, 184)(41, 149)(42, 150)(43, 151)(44, 152)(45, 189)(46, 188)(47, 190)(48, 182)(49, 159)(50, 160)(51, 161)(52, 162)(53, 180)(54, 164)(55, 191)(56, 192)(57, 177)(58, 170)(59, 171)(60, 172)(61, 178)(62, 179)(63, 186)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2078
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3 * Y1^2, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, (Y1^-2 * Y3^-1 * Y1^-2)^2, Y1^-1 * Y3^2 * Y1^-7, (Y3^-1 * Y1^3 * Y3 * Y1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 45, 109, 27, 91, 10, 74, 21, 85, 39, 103, 57, 121, 52, 116, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 40, 104, 54, 118, 50, 114, 32, 96, 16, 80, 5, 69, 15, 79, 18, 82, 38, 102, 55, 119, 47, 111, 29, 93, 11, 75)(7, 71, 20, 84, 37, 101, 58, 122, 49, 113, 31, 95, 12, 76, 24, 88, 8, 72, 23, 87, 36, 100, 56, 120, 51, 115, 34, 98, 14, 78, 22, 86)(25, 89, 41, 105, 59, 123, 63, 127, 61, 125, 46, 110, 28, 92, 43, 107, 26, 90, 42, 106, 60, 124, 64, 128, 62, 126, 48, 112, 30, 94, 44, 108)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 160)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 141)(30, 139)(31, 174)(32, 173)(33, 179)(34, 176)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 157)(46, 162)(47, 190)(48, 159)(49, 161)(50, 189)(51, 181)(52, 183)(53, 177)(54, 180)(55, 163)(56, 191)(57, 165)(58, 192)(59, 168)(60, 166)(61, 175)(62, 178)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2077
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2081 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 31>)
Aut   = $<128, 924>$ (small group id <128, 924>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y3 * Y2^-1)^4, Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-3, (Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3)^2, (Y3 * Y1^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 45, 109, 27, 91, 10, 74, 21, 85, 39, 103, 57, 121, 50, 114, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 54, 118, 52, 116, 33, 97, 16, 80, 5, 69, 15, 79, 19, 83, 40, 104, 55, 119, 47, 111, 29, 93, 11, 75)(7, 71, 20, 84, 36, 100, 56, 120, 51, 115, 34, 98, 14, 78, 24, 88, 8, 72, 23, 87, 37, 101, 58, 122, 49, 113, 31, 95, 12, 76, 22, 86)(25, 89, 42, 106, 59, 123, 64, 128, 62, 126, 48, 112, 30, 94, 43, 107, 26, 90, 41, 105, 60, 124, 63, 127, 61, 125, 46, 110, 28, 92, 44, 108)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 173)(30, 139)(31, 176)(32, 177)(33, 141)(34, 174)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 159)(47, 189)(48, 162)(49, 181)(50, 183)(51, 160)(52, 190)(53, 179)(54, 178)(55, 163)(56, 191)(57, 165)(58, 192)(59, 168)(60, 166)(61, 180)(62, 175)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2076
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2082 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, (T1, T2)^2, T2 * T1^-1 * T2^5 * T1^-1 * T2^2, 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 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 58, 42, 22, 38, 19, 37, 55, 52, 34, 16, 5)(2, 7, 20, 39, 56, 51, 33, 15, 30, 11, 29, 47, 60, 44, 24, 8)(4, 12, 28, 48, 62, 50, 32, 14, 26, 9, 25, 45, 61, 49, 31, 13)(6, 17, 35, 53, 63, 59, 43, 23, 41, 21, 40, 57, 64, 54, 36, 18)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 101, 93, 104)(90, 102, 94, 105)(91, 109, 117, 111)(96, 106, 97, 107)(98, 114, 118, 115)(103, 119, 112, 121)(108, 122, 113, 123)(110, 120, 127, 126)(116, 124, 128, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2084
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2083 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^16 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 62, 56, 48, 40, 32, 24, 16, 8)(4, 9, 17, 25, 33, 41, 49, 57, 63, 59, 51, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 53, 60, 64, 61, 54, 46, 38, 30, 22, 14)(65, 66, 70, 68)(67, 73, 77, 71)(69, 75, 78, 72)(74, 79, 85, 81)(76, 80, 86, 83)(82, 89, 93, 87)(84, 91, 94, 88)(90, 95, 101, 97)(92, 96, 102, 99)(98, 105, 109, 103)(100, 107, 110, 104)(106, 111, 117, 113)(108, 112, 118, 115)(114, 121, 124, 119)(116, 123, 125, 120)(122, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2085
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2084 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, (T1, T2)^2, T2 * T1^-1 * T2^5 * T1^-1 * T2^2, 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 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 58, 122, 42, 106, 22, 86, 38, 102, 19, 83, 37, 101, 55, 119, 52, 116, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 51, 115, 33, 97, 15, 79, 30, 94, 11, 75, 29, 93, 47, 111, 60, 124, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 48, 112, 62, 126, 50, 114, 32, 96, 14, 78, 26, 90, 9, 73, 25, 89, 45, 109, 61, 125, 49, 113, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 53, 117, 63, 127, 59, 123, 43, 107, 23, 87, 41, 105, 21, 85, 40, 104, 57, 121, 64, 128, 54, 118, 36, 100, 18, 82)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 101)(26, 102)(27, 109)(28, 74)(29, 104)(30, 105)(31, 80)(32, 106)(33, 107)(34, 114)(35, 92)(36, 95)(37, 93)(38, 94)(39, 119)(40, 89)(41, 90)(42, 97)(43, 96)(44, 122)(45, 117)(46, 120)(47, 91)(48, 121)(49, 123)(50, 118)(51, 98)(52, 124)(53, 111)(54, 115)(55, 112)(56, 127)(57, 103)(58, 113)(59, 108)(60, 128)(61, 116)(62, 110)(63, 126)(64, 125)
	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 E21.2082
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2085 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^16 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 26, 90, 34, 98, 42, 106, 50, 114, 58, 122, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 5, 69)(2, 66, 7, 71, 15, 79, 23, 87, 31, 95, 39, 103, 47, 111, 55, 119, 62, 126, 56, 120, 48, 112, 40, 104, 32, 96, 24, 88, 16, 80, 8, 72)(4, 68, 9, 73, 17, 81, 25, 89, 33, 97, 41, 105, 49, 113, 57, 121, 63, 127, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75)(6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 60, 124, 64, 128, 61, 125, 54, 118, 46, 110, 38, 102, 30, 94, 22, 86, 14, 78)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 68)(7, 67)(8, 69)(9, 77)(10, 79)(11, 78)(12, 80)(13, 71)(14, 72)(15, 85)(16, 86)(17, 74)(18, 89)(19, 76)(20, 91)(21, 81)(22, 83)(23, 82)(24, 84)(25, 93)(26, 95)(27, 94)(28, 96)(29, 87)(30, 88)(31, 101)(32, 102)(33, 90)(34, 105)(35, 92)(36, 107)(37, 97)(38, 99)(39, 98)(40, 100)(41, 109)(42, 111)(43, 110)(44, 112)(45, 103)(46, 104)(47, 117)(48, 118)(49, 106)(50, 121)(51, 108)(52, 123)(53, 113)(54, 115)(55, 114)(56, 116)(57, 124)(58, 126)(59, 125)(60, 119)(61, 120)(62, 128)(63, 122)(64, 127)
	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 E21.2083
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, Y3 * Y1, (R * Y1)^2, Y3 * Y1^-3, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y1^2 * Y2 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2^5 * Y3 * Y2^3 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 38, 102, 30, 94, 41, 105)(27, 91, 45, 109, 53, 117, 47, 111)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 50, 114, 54, 118, 51, 115)(39, 103, 55, 119, 48, 112, 57, 121)(44, 108, 58, 122, 49, 113, 59, 123)(46, 110, 56, 120, 63, 127, 62, 126)(52, 116, 60, 124, 64, 128, 61, 125)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 186, 250, 170, 234, 150, 214, 166, 230, 147, 211, 165, 229, 183, 247, 180, 244, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 179, 243, 161, 225, 143, 207, 158, 222, 139, 203, 157, 221, 175, 239, 188, 252, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 176, 240, 190, 254, 178, 242, 160, 224, 142, 206, 154, 218, 137, 201, 153, 217, 173, 237, 189, 253, 177, 241, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 181, 245, 191, 255, 187, 251, 171, 235, 151, 215, 169, 233, 149, 213, 168, 232, 185, 249, 192, 256, 182, 246, 164, 228, 146, 210)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 168)(26, 169)(27, 175)(28, 163)(29, 165)(30, 166)(31, 164)(32, 171)(33, 170)(34, 179)(35, 148)(36, 152)(37, 153)(38, 154)(39, 185)(40, 157)(41, 158)(42, 160)(43, 161)(44, 187)(45, 155)(46, 190)(47, 181)(48, 183)(49, 186)(50, 162)(51, 182)(52, 189)(53, 173)(54, 178)(55, 167)(56, 174)(57, 176)(58, 172)(59, 177)(60, 180)(61, 192)(62, 191)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2088
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2087 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ R^2, 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, Y2^16, (Y2^-1 * Y1)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 13, 77, 7, 71)(5, 69, 11, 75, 14, 78, 8, 72)(10, 74, 15, 79, 21, 85, 17, 81)(12, 76, 16, 80, 22, 86, 19, 83)(18, 82, 25, 89, 29, 93, 23, 87)(20, 84, 27, 91, 30, 94, 24, 88)(26, 90, 31, 95, 37, 101, 33, 97)(28, 92, 32, 96, 38, 102, 35, 99)(34, 98, 41, 105, 45, 109, 39, 103)(36, 100, 43, 107, 46, 110, 40, 104)(42, 106, 47, 111, 53, 117, 49, 113)(44, 108, 48, 112, 54, 118, 51, 115)(50, 114, 57, 121, 60, 124, 55, 119)(52, 116, 59, 123, 61, 125, 56, 120)(58, 122, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 146, 210, 154, 218, 162, 226, 170, 234, 178, 242, 186, 250, 180, 244, 172, 236, 164, 228, 156, 220, 148, 212, 140, 204, 133, 197)(130, 194, 135, 199, 143, 207, 151, 215, 159, 223, 167, 231, 175, 239, 183, 247, 190, 254, 184, 248, 176, 240, 168, 232, 160, 224, 152, 216, 144, 208, 136, 200)(132, 196, 137, 201, 145, 209, 153, 217, 161, 225, 169, 233, 177, 241, 185, 249, 191, 255, 187, 251, 179, 243, 171, 235, 163, 227, 155, 219, 147, 211, 139, 203)(134, 198, 141, 205, 149, 213, 157, 221, 165, 229, 173, 237, 181, 245, 188, 252, 192, 256, 189, 253, 182, 246, 174, 238, 166, 230, 158, 222, 150, 214, 142, 206)
	L = (1, 132)(2, 129)(3, 135)(4, 134)(5, 136)(6, 130)(7, 141)(8, 142)(9, 131)(10, 145)(11, 133)(12, 147)(13, 137)(14, 139)(15, 138)(16, 140)(17, 149)(18, 151)(19, 150)(20, 152)(21, 143)(22, 144)(23, 157)(24, 158)(25, 146)(26, 161)(27, 148)(28, 163)(29, 153)(30, 155)(31, 154)(32, 156)(33, 165)(34, 167)(35, 166)(36, 168)(37, 159)(38, 160)(39, 173)(40, 174)(41, 162)(42, 177)(43, 164)(44, 179)(45, 169)(46, 171)(47, 170)(48, 172)(49, 181)(50, 183)(51, 182)(52, 184)(53, 175)(54, 176)(55, 188)(56, 189)(57, 178)(58, 191)(59, 180)(60, 185)(61, 187)(62, 186)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2089
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1, Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-2 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-3, Y3^-1 * Y1^-5 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-5 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 53, 117, 46, 110, 28, 92, 43, 107, 25, 89, 41, 105, 59, 123, 50, 114, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 54, 118, 51, 115, 34, 98, 14, 78, 24, 88, 8, 72, 23, 87, 37, 101, 58, 122, 47, 111, 29, 93, 11, 75)(5, 69, 15, 79, 19, 83, 40, 104, 55, 119, 49, 113, 31, 95, 12, 76, 22, 86, 7, 71, 20, 84, 36, 100, 56, 120, 52, 116, 33, 97, 16, 80)(10, 74, 21, 85, 39, 103, 57, 121, 63, 127, 62, 126, 48, 112, 30, 94, 44, 108, 26, 90, 42, 106, 60, 124, 64, 128, 61, 125, 45, 109, 27, 91)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 173)(30, 139)(31, 174)(32, 177)(33, 141)(34, 176)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 162)(47, 181)(48, 159)(49, 189)(50, 186)(51, 160)(52, 190)(53, 180)(54, 191)(55, 163)(56, 178)(57, 165)(58, 192)(59, 168)(60, 166)(61, 179)(62, 175)(63, 183)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2086
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C4 : C16 (small group id <64, 44>)
Aut   = $<128, 938>$ (small group id <128, 938>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 13, 77, 21, 85, 29, 93, 37, 101, 45, 109, 53, 117, 52, 116, 44, 108, 36, 100, 28, 92, 20, 84, 12, 76, 4, 68)(3, 67, 8, 72, 14, 78, 23, 87, 30, 94, 39, 103, 46, 110, 55, 119, 60, 124, 58, 122, 50, 114, 42, 106, 34, 98, 26, 90, 18, 82, 10, 74)(5, 69, 7, 71, 15, 79, 22, 86, 31, 95, 38, 102, 47, 111, 54, 118, 61, 125, 59, 123, 51, 115, 43, 107, 35, 99, 27, 91, 19, 83, 11, 75)(9, 73, 16, 80, 24, 88, 32, 96, 40, 104, 48, 112, 56, 120, 62, 126, 64, 128, 63, 127, 57, 121, 49, 113, 41, 105, 33, 97, 25, 89, 17, 81)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 137)(4, 139)(5, 129)(6, 142)(7, 144)(8, 130)(9, 133)(10, 132)(11, 145)(12, 146)(13, 150)(14, 152)(15, 134)(16, 136)(17, 138)(18, 153)(19, 140)(20, 155)(21, 158)(22, 160)(23, 141)(24, 143)(25, 147)(26, 148)(27, 161)(28, 162)(29, 166)(30, 168)(31, 149)(32, 151)(33, 154)(34, 169)(35, 156)(36, 171)(37, 174)(38, 176)(39, 157)(40, 159)(41, 163)(42, 164)(43, 177)(44, 178)(45, 182)(46, 184)(47, 165)(48, 167)(49, 170)(50, 185)(51, 172)(52, 187)(53, 188)(54, 190)(55, 173)(56, 175)(57, 179)(58, 180)(59, 191)(60, 192)(61, 181)(62, 183)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2087
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2090 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-3 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-2 * T1 * T2, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T1 * T2 * T1 * T2^11, 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 ]
Map:: non-degenerate
	R = (1, 3, 10, 22, 45, 19, 44, 60, 64, 56, 55, 33, 52, 31, 16, 5)(2, 7, 20, 40, 58, 37, 57, 54, 63, 53, 36, 15, 29, 11, 24, 8)(4, 12, 28, 14, 27, 9, 26, 47, 62, 43, 61, 41, 59, 39, 34, 13)(6, 17, 38, 32, 51, 30, 50, 35, 49, 25, 48, 23, 46, 21, 42, 18)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 99, 79)(71, 83, 107, 85)(72, 86, 111, 87)(74, 84, 102, 92)(76, 94, 117, 95)(77, 96, 118, 97)(80, 88, 106, 98)(81, 101, 120, 103)(82, 104, 124, 105)(90, 108, 121, 114)(91, 109, 122, 115)(93, 110, 123, 116)(100, 112, 125, 119)(113, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2092
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2091 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 16, 16})
Quotient :: edge
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^3 * T1 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^2 * T1^2 * T2 * T1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2^9 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 52, 33, 54, 60, 64, 56, 48, 22, 44, 19, 16, 5)(2, 7, 20, 15, 31, 11, 30, 53, 63, 55, 61, 40, 57, 37, 24, 8)(4, 12, 29, 41, 59, 39, 58, 47, 62, 43, 36, 14, 27, 9, 26, 13)(6, 17, 38, 23, 46, 21, 45, 35, 50, 25, 49, 34, 51, 32, 42, 18)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 99, 79)(71, 83, 107, 85)(72, 86, 111, 87)(74, 84, 102, 93)(76, 96, 119, 97)(77, 98, 117, 92)(80, 88, 106, 90)(81, 101, 120, 103)(82, 104, 124, 105)(91, 108, 121, 115)(94, 109, 122, 118)(95, 110, 123, 116)(100, 112, 125, 113)(114, 126, 128, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2093
Transitivity :: ET+
Graph:: simple bipartite
	v = 20 e = 64 f = 4
	degree seq :: [ 4^16, 16^4 ]

E21.2092 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-3 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-2 * T1 * T2, T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1, T1 * T2 * T1 * T2^11, 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 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 22, 86, 45, 109, 19, 83, 44, 108, 60, 124, 64, 128, 56, 120, 55, 119, 33, 97, 52, 116, 31, 95, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 40, 104, 58, 122, 37, 101, 57, 121, 54, 118, 63, 127, 53, 117, 36, 100, 15, 79, 29, 93, 11, 75, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 14, 78, 27, 91, 9, 73, 26, 90, 47, 111, 62, 126, 43, 107, 61, 125, 41, 105, 59, 123, 39, 103, 34, 98, 13, 77)(6, 70, 17, 81, 38, 102, 32, 96, 51, 115, 30, 94, 50, 114, 35, 99, 49, 113, 25, 89, 48, 112, 23, 87, 46, 110, 21, 85, 42, 106, 18, 82)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 84)(11, 67)(12, 94)(13, 96)(14, 99)(15, 69)(16, 88)(17, 101)(18, 104)(19, 107)(20, 102)(21, 71)(22, 111)(23, 72)(24, 106)(25, 75)(26, 108)(27, 109)(28, 74)(29, 110)(30, 117)(31, 76)(32, 118)(33, 77)(34, 80)(35, 79)(36, 112)(37, 120)(38, 92)(39, 81)(40, 124)(41, 82)(42, 98)(43, 85)(44, 121)(45, 122)(46, 123)(47, 87)(48, 125)(49, 126)(50, 90)(51, 91)(52, 93)(53, 95)(54, 97)(55, 100)(56, 103)(57, 114)(58, 115)(59, 116)(60, 105)(61, 119)(62, 128)(63, 113)(64, 127)
	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 E21.2090
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2093 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 16, 16})
Quotient :: loop
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^3 * T1 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^2 * T1^2 * T2 * T1, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^2 * T1^-1 * T2^9 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 52, 116, 33, 97, 54, 118, 60, 124, 64, 128, 56, 120, 48, 112, 22, 86, 44, 108, 19, 83, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 15, 79, 31, 95, 11, 75, 30, 94, 53, 117, 63, 127, 55, 119, 61, 125, 40, 104, 57, 121, 37, 101, 24, 88, 8, 72)(4, 68, 12, 76, 29, 93, 41, 105, 59, 123, 39, 103, 58, 122, 47, 111, 62, 126, 43, 107, 36, 100, 14, 78, 27, 91, 9, 73, 26, 90, 13, 77)(6, 70, 17, 81, 38, 102, 23, 87, 46, 110, 21, 85, 45, 109, 35, 99, 50, 114, 25, 89, 49, 113, 34, 98, 51, 115, 32, 96, 42, 106, 18, 82)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 84)(11, 67)(12, 96)(13, 98)(14, 99)(15, 69)(16, 88)(17, 101)(18, 104)(19, 107)(20, 102)(21, 71)(22, 111)(23, 72)(24, 106)(25, 75)(26, 80)(27, 108)(28, 77)(29, 74)(30, 109)(31, 110)(32, 119)(33, 76)(34, 117)(35, 79)(36, 112)(37, 120)(38, 93)(39, 81)(40, 124)(41, 82)(42, 90)(43, 85)(44, 121)(45, 122)(46, 123)(47, 87)(48, 125)(49, 100)(50, 126)(51, 91)(52, 95)(53, 92)(54, 94)(55, 97)(56, 103)(57, 115)(58, 118)(59, 116)(60, 105)(61, 113)(62, 128)(63, 114)(64, 127)
	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 E21.2091
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 64 f = 20
	degree seq :: [ 32^4 ]

E21.2094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^3, (Y2^-1 * Y3)^16 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 35, 99, 15, 79)(7, 71, 19, 83, 43, 107, 21, 85)(8, 72, 22, 86, 47, 111, 23, 87)(10, 74, 20, 84, 38, 102, 28, 92)(12, 76, 30, 94, 53, 117, 31, 95)(13, 77, 32, 96, 54, 118, 33, 97)(16, 80, 24, 88, 42, 106, 34, 98)(17, 81, 37, 101, 56, 120, 39, 103)(18, 82, 40, 104, 60, 124, 41, 105)(26, 90, 44, 108, 57, 121, 50, 114)(27, 91, 45, 109, 58, 122, 51, 115)(29, 93, 46, 110, 59, 123, 52, 116)(36, 100, 48, 112, 61, 125, 55, 119)(49, 113, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 150, 214, 173, 237, 147, 211, 172, 236, 188, 252, 192, 256, 184, 248, 183, 247, 161, 225, 180, 244, 159, 223, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 168, 232, 186, 250, 165, 229, 185, 249, 182, 246, 191, 255, 181, 245, 164, 228, 143, 207, 157, 221, 139, 203, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 142, 206, 155, 219, 137, 201, 154, 218, 175, 239, 190, 254, 171, 235, 189, 253, 169, 233, 187, 251, 167, 231, 162, 226, 141, 205)(134, 198, 145, 209, 166, 230, 160, 224, 179, 243, 158, 222, 178, 242, 163, 227, 177, 241, 153, 217, 176, 240, 151, 215, 174, 238, 149, 213, 170, 234, 146, 210)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 153)(12, 159)(13, 161)(14, 133)(15, 163)(16, 162)(17, 167)(18, 169)(19, 135)(20, 138)(21, 171)(22, 136)(23, 175)(24, 144)(25, 137)(26, 178)(27, 179)(28, 166)(29, 180)(30, 140)(31, 181)(32, 141)(33, 182)(34, 170)(35, 142)(36, 183)(37, 145)(38, 148)(39, 184)(40, 146)(41, 188)(42, 152)(43, 147)(44, 154)(45, 155)(46, 157)(47, 150)(48, 164)(49, 191)(50, 185)(51, 186)(52, 187)(53, 158)(54, 160)(55, 189)(56, 165)(57, 172)(58, 173)(59, 174)(60, 168)(61, 176)(62, 177)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2096
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, (R * Y3)^2, Y3^2 * Y1^-2, (R * Y1)^2, Y2^2 * Y3 * Y2^-2 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-1 * Y1^-1 * Y2^-3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2^11, Y3 * Y2^11 * Y1^-1 * Y2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 35, 99, 15, 79)(7, 71, 19, 83, 43, 107, 21, 85)(8, 72, 22, 86, 47, 111, 23, 87)(10, 74, 20, 84, 38, 102, 29, 93)(12, 76, 32, 96, 55, 119, 33, 97)(13, 77, 34, 98, 53, 117, 28, 92)(16, 80, 24, 88, 42, 106, 26, 90)(17, 81, 37, 101, 56, 120, 39, 103)(18, 82, 40, 104, 60, 124, 41, 105)(27, 91, 44, 108, 57, 121, 51, 115)(30, 94, 45, 109, 58, 122, 54, 118)(31, 95, 46, 110, 59, 123, 52, 116)(36, 100, 48, 112, 61, 125, 49, 113)(50, 114, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 180, 244, 161, 225, 182, 246, 188, 252, 192, 256, 184, 248, 176, 240, 150, 214, 172, 236, 147, 211, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 143, 207, 159, 223, 139, 203, 158, 222, 181, 245, 191, 255, 183, 247, 189, 253, 168, 232, 185, 249, 165, 229, 152, 216, 136, 200)(132, 196, 140, 204, 157, 221, 169, 233, 187, 251, 167, 231, 186, 250, 175, 239, 190, 254, 171, 235, 164, 228, 142, 206, 155, 219, 137, 201, 154, 218, 141, 205)(134, 198, 145, 209, 166, 230, 151, 215, 174, 238, 149, 213, 173, 237, 163, 227, 178, 242, 153, 217, 177, 241, 162, 226, 179, 243, 160, 224, 170, 234, 146, 210)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 157)(11, 153)(12, 161)(13, 156)(14, 133)(15, 163)(16, 154)(17, 167)(18, 169)(19, 135)(20, 138)(21, 171)(22, 136)(23, 175)(24, 144)(25, 137)(26, 170)(27, 179)(28, 181)(29, 166)(30, 182)(31, 180)(32, 140)(33, 183)(34, 141)(35, 142)(36, 177)(37, 145)(38, 148)(39, 184)(40, 146)(41, 188)(42, 152)(43, 147)(44, 155)(45, 158)(46, 159)(47, 150)(48, 164)(49, 189)(50, 191)(51, 185)(52, 187)(53, 162)(54, 186)(55, 160)(56, 165)(57, 172)(58, 173)(59, 174)(60, 168)(61, 176)(62, 178)(63, 192)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2097
Graph:: bipartite
	v = 20 e = 128 f = 68
	degree seq :: [ 8^16, 32^4 ]

E21.2096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y3 * Y2^-1)^4, Y3 * Y1 * Y3 * Y1^6 * Y3 * Y1 * Y3 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 25, 89, 41, 105, 58, 122, 64, 128, 63, 127, 54, 118, 36, 100, 48, 112, 31, 95, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 39, 103, 56, 120, 50, 114, 59, 123, 55, 119, 61, 125, 53, 117, 33, 97, 14, 78, 24, 88, 8, 72, 23, 87, 11, 75)(5, 69, 15, 79, 19, 83, 12, 76, 22, 86, 7, 71, 20, 84, 38, 102, 57, 121, 49, 113, 60, 124, 52, 116, 62, 126, 51, 115, 32, 96, 16, 80)(10, 74, 27, 91, 40, 104, 35, 99, 45, 109, 34, 98, 42, 106, 30, 94, 44, 108, 21, 85, 43, 107, 29, 93, 47, 111, 26, 90, 46, 110, 28, 92)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 145)(12, 158)(13, 151)(14, 132)(15, 162)(16, 163)(17, 166)(18, 168)(19, 134)(20, 169)(21, 136)(22, 165)(23, 174)(24, 175)(25, 177)(26, 137)(27, 178)(28, 167)(29, 139)(30, 142)(31, 143)(32, 141)(33, 171)(34, 181)(35, 183)(36, 144)(37, 184)(38, 157)(39, 186)(40, 147)(41, 187)(42, 148)(43, 188)(44, 185)(45, 150)(46, 160)(47, 190)(48, 152)(49, 154)(50, 191)(51, 155)(52, 156)(53, 159)(54, 161)(55, 164)(56, 173)(57, 192)(58, 180)(59, 170)(60, 182)(61, 172)(62, 176)(63, 179)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2094
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 16, 16})
Quotient :: dipole
Aut^+ = C8 . D8 = C4 . (C8 x C2) (small group id <64, 45>)
Aut   = $<128, 945>$ (small group id <128, 945>)
|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 * Y1^2 * Y3^-1 * Y1^-2, Y3^2 * Y1^2 * Y3^2 * Y1^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y3^-1 * Y1^3 * Y3^-1 * Y1^9 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 37, 101, 35, 99, 47, 111, 58, 122, 64, 128, 63, 127, 54, 118, 29, 93, 44, 108, 25, 89, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 14, 78, 24, 88, 8, 72, 23, 87, 38, 102, 57, 121, 55, 119, 59, 123, 52, 116, 61, 125, 50, 114, 30, 94, 11, 75)(5, 69, 15, 79, 19, 83, 40, 104, 56, 120, 51, 115, 62, 126, 53, 117, 60, 124, 49, 113, 33, 97, 12, 76, 22, 86, 7, 71, 20, 84, 16, 80)(10, 74, 27, 91, 39, 103, 31, 95, 48, 112, 26, 90, 46, 110, 32, 96, 43, 107, 21, 85, 42, 106, 36, 100, 45, 109, 34, 98, 41, 105, 28, 92)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 157)(12, 160)(13, 158)(14, 132)(15, 162)(16, 164)(17, 144)(18, 167)(19, 134)(20, 141)(21, 136)(22, 172)(23, 174)(24, 176)(25, 177)(26, 137)(27, 178)(28, 180)(29, 181)(30, 169)(31, 139)(32, 142)(33, 182)(34, 183)(35, 143)(36, 166)(37, 152)(38, 145)(39, 147)(40, 156)(41, 148)(42, 161)(43, 188)(44, 189)(45, 150)(46, 190)(47, 151)(48, 184)(49, 154)(50, 191)(51, 155)(52, 186)(53, 159)(54, 187)(55, 163)(56, 165)(57, 171)(58, 168)(59, 170)(60, 192)(61, 173)(62, 175)(63, 179)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2095
Graph:: simple bipartite
	v = 68 e = 128 f = 20
	degree seq :: [ 2^64, 32^4 ]

E21.2098 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 22, 66})
Quotient :: edge
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^22 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 65, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 66, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(67, 68, 70)(69, 72, 75)(71, 73, 76)(74, 78, 81)(77, 79, 82)(80, 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, 131, 132)
	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) :: { ( 132^3 ), ( 132^22 ) }
Outer automorphisms :: reflexible
Dual of E21.2102
Transitivity :: ET+
Graph:: simple bipartite
	v = 25 e = 66 f = 1
	degree seq :: [ 3^22, 22^3 ]

E21.2099 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 22, 66})
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), T1^3 * T2^3, (T1^-1 * T2^-1)^3, T1 * T2^-21, T2^3 * T1^-4 * T2 * T1^-3 * T2^2 * T1^-9, T1^22 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 61, 65, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 63, 64, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 62, 66, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(67, 68, 72, 80, 88, 94, 100, 106, 112, 118, 124, 130, 128, 121, 117, 110, 103, 99, 92, 85, 77, 70)(69, 73, 81, 79, 84, 90, 96, 102, 108, 114, 120, 126, 132, 127, 123, 116, 109, 105, 98, 91, 87, 76)(71, 74, 82, 89, 95, 101, 107, 113, 119, 125, 131, 129, 122, 115, 111, 104, 97, 93, 86, 75, 83, 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) :: { ( 6^22 ), ( 6^66 ) }
Outer automorphisms :: reflexible
Dual of E21.2103
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 66 f = 22
	degree seq :: [ 22^3, 66 ]

E21.2100 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 22, 66})
Quotient :: edge
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1^22, (T1^-1 * T2^-1)^22 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 9, 11)(6, 13, 14)(10, 15, 17)(12, 19, 20)(16, 21, 23)(18, 25, 26)(22, 27, 29)(24, 31, 32)(28, 33, 35)(30, 37, 38)(34, 39, 41)(36, 43, 44)(40, 45, 47)(42, 49, 50)(46, 51, 53)(48, 55, 56)(52, 57, 59)(54, 61, 62)(58, 63, 65)(60, 64, 66)(67, 68, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 131, 125, 119, 113, 107, 101, 95, 89, 83, 77, 71, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 132, 129, 123, 117, 111, 105, 99, 93, 87, 81, 75, 69, 73, 79, 85, 91, 97, 103, 109, 115, 121, 127, 130, 124, 118, 112, 106, 100, 94, 88, 82, 76, 70)
	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) :: { ( 44^3 ), ( 44^66 ) }
Outer automorphisms :: reflexible
Dual of E21.2101
Transitivity :: ET+
Graph:: bipartite
	v = 23 e = 66 f = 3
	degree seq :: [ 3^22, 66 ]

E21.2101 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 22, 66})
Quotient :: loop
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^22 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 8, 74, 14, 80, 20, 86, 26, 92, 32, 98, 38, 104, 44, 110, 50, 116, 56, 122, 62, 128, 59, 125, 53, 119, 47, 113, 41, 107, 35, 101, 29, 95, 23, 89, 17, 83, 11, 77, 5, 71)(2, 68, 6, 72, 12, 78, 18, 84, 24, 90, 30, 96, 36, 102, 42, 108, 48, 114, 54, 120, 60, 126, 65, 131, 61, 127, 55, 121, 49, 115, 43, 109, 37, 103, 31, 97, 25, 91, 19, 85, 13, 79, 7, 73)(4, 70, 9, 75, 15, 81, 21, 87, 27, 93, 33, 99, 39, 105, 45, 111, 51, 117, 57, 123, 63, 129, 66, 132, 64, 130, 58, 124, 52, 118, 46, 112, 40, 106, 34, 100, 28, 94, 22, 88, 16, 82, 10, 76)
	L = (1, 68)(2, 70)(3, 72)(4, 67)(5, 73)(6, 75)(7, 76)(8, 78)(9, 69)(10, 71)(11, 79)(12, 81)(13, 82)(14, 84)(15, 74)(16, 77)(17, 85)(18, 87)(19, 88)(20, 90)(21, 80)(22, 83)(23, 91)(24, 93)(25, 94)(26, 96)(27, 86)(28, 89)(29, 97)(30, 99)(31, 100)(32, 102)(33, 92)(34, 95)(35, 103)(36, 105)(37, 106)(38, 108)(39, 98)(40, 101)(41, 109)(42, 111)(43, 112)(44, 114)(45, 104)(46, 107)(47, 115)(48, 117)(49, 118)(50, 120)(51, 110)(52, 113)(53, 121)(54, 123)(55, 124)(56, 126)(57, 116)(58, 119)(59, 127)(60, 129)(61, 130)(62, 131)(63, 122)(64, 125)(65, 132)(66, 128)
	local type(s) :: { ( 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66 ) }
Outer automorphisms :: reflexible
Dual of E21.2100
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 66 f = 23
	degree seq :: [ 44^3 ]

E21.2102 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 22, 66})
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), T1^3 * T2^3, (T1^-1 * T2^-1)^3, T1 * T2^-21, T2^3 * T1^-4 * T2 * T1^-3 * T2^2 * T1^-9, T1^22 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 9, 75, 19, 85, 25, 91, 31, 97, 37, 103, 43, 109, 49, 115, 55, 121, 61, 127, 65, 131, 58, 124, 54, 120, 47, 113, 40, 106, 36, 102, 29, 95, 22, 88, 18, 84, 8, 74, 2, 68, 7, 73, 17, 83, 11, 77, 21, 87, 27, 93, 33, 99, 39, 105, 45, 111, 51, 117, 57, 123, 63, 129, 64, 130, 60, 126, 53, 119, 46, 112, 42, 108, 35, 101, 28, 94, 24, 90, 16, 82, 6, 72, 15, 81, 12, 78, 4, 70, 10, 76, 20, 86, 26, 92, 32, 98, 38, 104, 44, 110, 50, 116, 56, 122, 62, 128, 66, 132, 59, 125, 52, 118, 48, 114, 41, 107, 34, 100, 30, 96, 23, 89, 14, 80, 13, 79, 5, 71)
	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, 88)(15, 79)(16, 89)(17, 78)(18, 90)(19, 77)(20, 75)(21, 76)(22, 94)(23, 95)(24, 96)(25, 87)(26, 85)(27, 86)(28, 100)(29, 101)(30, 102)(31, 93)(32, 91)(33, 92)(34, 106)(35, 107)(36, 108)(37, 99)(38, 97)(39, 98)(40, 112)(41, 113)(42, 114)(43, 105)(44, 103)(45, 104)(46, 118)(47, 119)(48, 120)(49, 111)(50, 109)(51, 110)(52, 124)(53, 125)(54, 126)(55, 117)(56, 115)(57, 116)(58, 130)(59, 131)(60, 132)(61, 123)(62, 121)(63, 122)(64, 128)(65, 129)(66, 127)
	local type(s) :: { ( 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22 ) }
Outer automorphisms :: reflexible
Dual of E21.2098
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 66 f = 25
	degree seq :: [ 132 ]

E21.2103 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 22, 66})
Quotient :: loop
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1^22, (T1^-1 * T2^-1)^22 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 5, 71)(2, 68, 7, 73, 8, 74)(4, 70, 9, 75, 11, 77)(6, 72, 13, 79, 14, 80)(10, 76, 15, 81, 17, 83)(12, 78, 19, 85, 20, 86)(16, 82, 21, 87, 23, 89)(18, 84, 25, 91, 26, 92)(22, 88, 27, 93, 29, 95)(24, 90, 31, 97, 32, 98)(28, 94, 33, 99, 35, 101)(30, 96, 37, 103, 38, 104)(34, 100, 39, 105, 41, 107)(36, 102, 43, 109, 44, 110)(40, 106, 45, 111, 47, 113)(42, 108, 49, 115, 50, 116)(46, 112, 51, 117, 53, 119)(48, 114, 55, 121, 56, 122)(52, 118, 57, 123, 59, 125)(54, 120, 61, 127, 62, 128)(58, 124, 63, 129, 65, 131)(60, 126, 64, 130, 66, 132)
	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, 102)(31, 103)(32, 104)(33, 93)(34, 94)(35, 95)(36, 108)(37, 109)(38, 110)(39, 99)(40, 100)(41, 101)(42, 114)(43, 115)(44, 116)(45, 105)(46, 106)(47, 107)(48, 120)(49, 121)(50, 122)(51, 111)(52, 112)(53, 113)(54, 126)(55, 127)(56, 128)(57, 117)(58, 118)(59, 119)(60, 131)(61, 130)(62, 132)(63, 123)(64, 124)(65, 125)(66, 129)
	local type(s) :: { ( 22, 66, 22, 66, 22, 66 ) }
Outer automorphisms :: reflexible
Dual of E21.2099
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 22 e = 66 f = 4
	degree seq :: [ 6^22 ]

E21.2104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 22, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^22, Y3^66 ]
Map::
	R = (1, 67, 2, 68, 4, 70)(3, 69, 6, 72, 9, 75)(5, 71, 7, 73, 10, 76)(8, 74, 12, 78, 15, 81)(11, 77, 13, 79, 16, 82)(14, 80, 18, 84, 21, 87)(17, 83, 19, 85, 22, 88)(20, 86, 24, 90, 27, 93)(23, 89, 25, 91, 28, 94)(26, 92, 30, 96, 33, 99)(29, 95, 31, 97, 34, 100)(32, 98, 36, 102, 39, 105)(35, 101, 37, 103, 40, 106)(38, 104, 42, 108, 45, 111)(41, 107, 43, 109, 46, 112)(44, 110, 48, 114, 51, 117)(47, 113, 49, 115, 52, 118)(50, 116, 54, 120, 57, 123)(53, 119, 55, 121, 58, 124)(56, 122, 60, 126, 63, 129)(59, 125, 61, 127, 64, 130)(62, 128, 65, 131, 66, 132)(133, 199, 135, 201, 140, 206, 146, 212, 152, 218, 158, 224, 164, 230, 170, 236, 176, 242, 182, 248, 188, 254, 194, 260, 191, 257, 185, 251, 179, 245, 173, 239, 167, 233, 161, 227, 155, 221, 149, 215, 143, 209, 137, 203)(134, 200, 138, 204, 144, 210, 150, 216, 156, 222, 162, 228, 168, 234, 174, 240, 180, 246, 186, 252, 192, 258, 197, 263, 193, 259, 187, 253, 181, 247, 175, 241, 169, 235, 163, 229, 157, 223, 151, 217, 145, 211, 139, 205)(136, 202, 141, 207, 147, 213, 153, 219, 159, 225, 165, 231, 171, 237, 177, 243, 183, 249, 189, 255, 195, 261, 198, 264, 196, 262, 190, 256, 184, 250, 178, 244, 172, 238, 166, 232, 160, 226, 154, 220, 148, 214, 142, 208)
	L = (1, 136)(2, 133)(3, 141)(4, 134)(5, 142)(6, 135)(7, 137)(8, 147)(9, 138)(10, 139)(11, 148)(12, 140)(13, 143)(14, 153)(15, 144)(16, 145)(17, 154)(18, 146)(19, 149)(20, 159)(21, 150)(22, 151)(23, 160)(24, 152)(25, 155)(26, 165)(27, 156)(28, 157)(29, 166)(30, 158)(31, 161)(32, 171)(33, 162)(34, 163)(35, 172)(36, 164)(37, 167)(38, 177)(39, 168)(40, 169)(41, 178)(42, 170)(43, 173)(44, 183)(45, 174)(46, 175)(47, 184)(48, 176)(49, 179)(50, 189)(51, 180)(52, 181)(53, 190)(54, 182)(55, 185)(56, 195)(57, 186)(58, 187)(59, 196)(60, 188)(61, 191)(62, 198)(63, 192)(64, 193)(65, 194)(66, 197)(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, 132, 2, 132, 2, 132 ), ( 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132 ) }
Outer automorphisms :: reflexible
Dual of E21.2107
Graph:: bipartite
	v = 25 e = 132 f = 67
	degree seq :: [ 6^22, 44^3 ]

E21.2105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 22, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^3, Y1^6 * Y2^6, Y1^-10 * Y2^12, Y1^22 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 22, 88, 28, 94, 34, 100, 40, 106, 46, 112, 52, 118, 58, 124, 64, 130, 62, 128, 55, 121, 51, 117, 44, 110, 37, 103, 33, 99, 26, 92, 19, 85, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 13, 79, 18, 84, 24, 90, 30, 96, 36, 102, 42, 108, 48, 114, 54, 120, 60, 126, 66, 132, 61, 127, 57, 123, 50, 116, 43, 109, 39, 105, 32, 98, 25, 91, 21, 87, 10, 76)(5, 71, 8, 74, 16, 82, 23, 89, 29, 95, 35, 101, 41, 107, 47, 113, 53, 119, 59, 125, 65, 131, 63, 129, 56, 122, 49, 115, 45, 111, 38, 104, 31, 97, 27, 93, 20, 86, 9, 75, 17, 83, 12, 78)(133, 199, 135, 201, 141, 207, 151, 217, 157, 223, 163, 229, 169, 235, 175, 241, 181, 247, 187, 253, 193, 259, 197, 263, 190, 256, 186, 252, 179, 245, 172, 238, 168, 234, 161, 227, 154, 220, 150, 216, 140, 206, 134, 200, 139, 205, 149, 215, 143, 209, 153, 219, 159, 225, 165, 231, 171, 237, 177, 243, 183, 249, 189, 255, 195, 261, 196, 262, 192, 258, 185, 251, 178, 244, 174, 240, 167, 233, 160, 226, 156, 222, 148, 214, 138, 204, 147, 213, 144, 210, 136, 202, 142, 208, 152, 218, 158, 224, 164, 230, 170, 236, 176, 242, 182, 248, 188, 254, 194, 260, 198, 264, 191, 257, 184, 250, 180, 246, 173, 239, 166, 232, 162, 228, 155, 221, 146, 212, 145, 211, 137, 203)
	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, 145)(15, 144)(16, 138)(17, 143)(18, 140)(19, 157)(20, 158)(21, 159)(22, 150)(23, 146)(24, 148)(25, 163)(26, 164)(27, 165)(28, 156)(29, 154)(30, 155)(31, 169)(32, 170)(33, 171)(34, 162)(35, 160)(36, 161)(37, 175)(38, 176)(39, 177)(40, 168)(41, 166)(42, 167)(43, 181)(44, 182)(45, 183)(46, 174)(47, 172)(48, 173)(49, 187)(50, 188)(51, 189)(52, 180)(53, 178)(54, 179)(55, 193)(56, 194)(57, 195)(58, 186)(59, 184)(60, 185)(61, 197)(62, 198)(63, 196)(64, 192)(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) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E21.2106
Graph:: bipartite
	v = 4 e = 132 f = 88
	degree seq :: [ 44^3, 132 ]

E21.2106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 22, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^22, 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 * Y3^2, (Y3^-1 * Y1^-1)^66 ]
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, 136, 202)(135, 201, 138, 204, 141, 207)(137, 203, 139, 205, 142, 208)(140, 206, 144, 210, 147, 213)(143, 209, 145, 211, 148, 214)(146, 212, 150, 216, 153, 219)(149, 215, 151, 217, 154, 220)(152, 218, 156, 222, 159, 225)(155, 221, 157, 223, 160, 226)(158, 224, 162, 228, 165, 231)(161, 227, 163, 229, 166, 232)(164, 230, 168, 234, 171, 237)(167, 233, 169, 235, 172, 238)(170, 236, 174, 240, 177, 243)(173, 239, 175, 241, 178, 244)(176, 242, 180, 246, 183, 249)(179, 245, 181, 247, 184, 250)(182, 248, 186, 252, 189, 255)(185, 251, 187, 253, 190, 256)(188, 254, 192, 258, 195, 261)(191, 257, 193, 259, 196, 262)(194, 260, 198, 264, 197, 263)
	L = (1, 135)(2, 138)(3, 140)(4, 141)(5, 133)(6, 144)(7, 134)(8, 146)(9, 147)(10, 136)(11, 137)(12, 150)(13, 139)(14, 152)(15, 153)(16, 142)(17, 143)(18, 156)(19, 145)(20, 158)(21, 159)(22, 148)(23, 149)(24, 162)(25, 151)(26, 164)(27, 165)(28, 154)(29, 155)(30, 168)(31, 157)(32, 170)(33, 171)(34, 160)(35, 161)(36, 174)(37, 163)(38, 176)(39, 177)(40, 166)(41, 167)(42, 180)(43, 169)(44, 182)(45, 183)(46, 172)(47, 173)(48, 186)(49, 175)(50, 188)(51, 189)(52, 178)(53, 179)(54, 192)(55, 181)(56, 194)(57, 195)(58, 184)(59, 185)(60, 198)(61, 187)(62, 193)(63, 197)(64, 190)(65, 191)(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) :: { ( 44, 132 ), ( 44, 132, 44, 132, 44, 132 ) }
Outer automorphisms :: reflexible
Dual of E21.2105
Graph:: simple bipartite
	v = 88 e = 132 f = 4
	degree seq :: [ 2^66, 6^22 ]

E21.2107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 22, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|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 * Y1^22, (Y1^-1 * Y3^-1)^22 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 12, 78, 18, 84, 24, 90, 30, 96, 36, 102, 42, 108, 48, 114, 54, 120, 60, 126, 65, 131, 59, 125, 53, 119, 47, 113, 41, 107, 35, 101, 29, 95, 23, 89, 17, 83, 11, 77, 5, 71, 8, 74, 14, 80, 20, 86, 26, 92, 32, 98, 38, 104, 44, 110, 50, 116, 56, 122, 62, 128, 66, 132, 63, 129, 57, 123, 51, 117, 45, 111, 39, 105, 33, 99, 27, 93, 21, 87, 15, 81, 9, 75, 3, 69, 7, 73, 13, 79, 19, 85, 25, 91, 31, 97, 37, 103, 43, 109, 49, 115, 55, 121, 61, 127, 64, 130, 58, 124, 52, 118, 46, 112, 40, 106, 34, 100, 28, 94, 22, 88, 16, 82, 10, 76, 4, 70)(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, 137)(4, 141)(5, 133)(6, 145)(7, 140)(8, 134)(9, 143)(10, 147)(11, 136)(12, 151)(13, 146)(14, 138)(15, 149)(16, 153)(17, 142)(18, 157)(19, 152)(20, 144)(21, 155)(22, 159)(23, 148)(24, 163)(25, 158)(26, 150)(27, 161)(28, 165)(29, 154)(30, 169)(31, 164)(32, 156)(33, 167)(34, 171)(35, 160)(36, 175)(37, 170)(38, 162)(39, 173)(40, 177)(41, 166)(42, 181)(43, 176)(44, 168)(45, 179)(46, 183)(47, 172)(48, 187)(49, 182)(50, 174)(51, 185)(52, 189)(53, 178)(54, 193)(55, 188)(56, 180)(57, 191)(58, 195)(59, 184)(60, 196)(61, 194)(62, 186)(63, 197)(64, 198)(65, 190)(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) :: { ( 6, 44 ), ( 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44, 6, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2104
Graph:: bipartite
	v = 67 e = 132 f = 25
	degree seq :: [ 2^66, 132 ]

E21.2108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 22, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^22 * 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 ]
Map::
	R = (1, 67, 2, 68, 4, 70)(3, 69, 6, 72, 9, 75)(5, 71, 7, 73, 10, 76)(8, 74, 12, 78, 15, 81)(11, 77, 13, 79, 16, 82)(14, 80, 18, 84, 21, 87)(17, 83, 19, 85, 22, 88)(20, 86, 24, 90, 27, 93)(23, 89, 25, 91, 28, 94)(26, 92, 30, 96, 33, 99)(29, 95, 31, 97, 34, 100)(32, 98, 36, 102, 39, 105)(35, 101, 37, 103, 40, 106)(38, 104, 42, 108, 45, 111)(41, 107, 43, 109, 46, 112)(44, 110, 48, 114, 51, 117)(47, 113, 49, 115, 52, 118)(50, 116, 54, 120, 57, 123)(53, 119, 55, 121, 58, 124)(56, 122, 60, 126, 63, 129)(59, 125, 61, 127, 64, 130)(62, 128, 65, 131, 66, 132)(133, 199, 135, 201, 140, 206, 146, 212, 152, 218, 158, 224, 164, 230, 170, 236, 176, 242, 182, 248, 188, 254, 194, 260, 196, 262, 190, 256, 184, 250, 178, 244, 172, 238, 166, 232, 160, 226, 154, 220, 148, 214, 142, 208, 136, 202, 141, 207, 147, 213, 153, 219, 159, 225, 165, 231, 171, 237, 177, 243, 183, 249, 189, 255, 195, 261, 198, 264, 193, 259, 187, 253, 181, 247, 175, 241, 169, 235, 163, 229, 157, 223, 151, 217, 145, 211, 139, 205, 134, 200, 138, 204, 144, 210, 150, 216, 156, 222, 162, 228, 168, 234, 174, 240, 180, 246, 186, 252, 192, 258, 197, 263, 191, 257, 185, 251, 179, 245, 173, 239, 167, 233, 161, 227, 155, 221, 149, 215, 143, 209, 137, 203)
	L = (1, 136)(2, 133)(3, 141)(4, 134)(5, 142)(6, 135)(7, 137)(8, 147)(9, 138)(10, 139)(11, 148)(12, 140)(13, 143)(14, 153)(15, 144)(16, 145)(17, 154)(18, 146)(19, 149)(20, 159)(21, 150)(22, 151)(23, 160)(24, 152)(25, 155)(26, 165)(27, 156)(28, 157)(29, 166)(30, 158)(31, 161)(32, 171)(33, 162)(34, 163)(35, 172)(36, 164)(37, 167)(38, 177)(39, 168)(40, 169)(41, 178)(42, 170)(43, 173)(44, 183)(45, 174)(46, 175)(47, 184)(48, 176)(49, 179)(50, 189)(51, 180)(52, 181)(53, 190)(54, 182)(55, 185)(56, 195)(57, 186)(58, 187)(59, 196)(60, 188)(61, 191)(62, 198)(63, 192)(64, 193)(65, 194)(66, 197)(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, 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 E21.2109
Graph:: bipartite
	v = 23 e = 132 f = 69
	degree seq :: [ 6^22, 132 ]

E21.2109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 22, 66})
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, Y3^-1), Y1^-3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y1^-9 * Y3^-9, Y1^-1 * Y3^21, Y1^22, (Y3 * Y2^-1)^66 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 14, 80, 22, 88, 28, 94, 34, 100, 40, 106, 46, 112, 52, 118, 58, 124, 64, 130, 62, 128, 55, 121, 51, 117, 44, 110, 37, 103, 33, 99, 26, 92, 19, 85, 11, 77, 4, 70)(3, 69, 7, 73, 15, 81, 13, 79, 18, 84, 24, 90, 30, 96, 36, 102, 42, 108, 48, 114, 54, 120, 60, 126, 66, 132, 61, 127, 57, 123, 50, 116, 43, 109, 39, 105, 32, 98, 25, 91, 21, 87, 10, 76)(5, 71, 8, 74, 16, 82, 23, 89, 29, 95, 35, 101, 41, 107, 47, 113, 53, 119, 59, 125, 65, 131, 63, 129, 56, 122, 49, 115, 45, 111, 38, 104, 31, 97, 27, 93, 20, 86, 9, 75, 17, 83, 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, 145)(15, 144)(16, 138)(17, 143)(18, 140)(19, 157)(20, 158)(21, 159)(22, 150)(23, 146)(24, 148)(25, 163)(26, 164)(27, 165)(28, 156)(29, 154)(30, 155)(31, 169)(32, 170)(33, 171)(34, 162)(35, 160)(36, 161)(37, 175)(38, 176)(39, 177)(40, 168)(41, 166)(42, 167)(43, 181)(44, 182)(45, 183)(46, 174)(47, 172)(48, 173)(49, 187)(50, 188)(51, 189)(52, 180)(53, 178)(54, 179)(55, 193)(56, 194)(57, 195)(58, 186)(59, 184)(60, 185)(61, 197)(62, 198)(63, 196)(64, 192)(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) :: { ( 6, 132 ), ( 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132 ) }
Outer automorphisms :: reflexible
Dual of E21.2108
Graph:: simple bipartite
	v = 69 e = 132 f = 23
	degree seq :: [ 2^66, 44^3 ]

E21.2110 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C40 x C2) : C2 (small group id <160, 125>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 84, 4, 90, 10, 83)(7, 91, 11, 88, 8, 92, 12, 87)(13, 97, 17, 94, 14, 98, 18, 93)(15, 99, 19, 96, 16, 100, 20, 95)(21, 105, 25, 102, 22, 106, 26, 101)(23, 107, 27, 104, 24, 108, 28, 103)(29, 113, 33, 110, 30, 114, 34, 109)(31, 133, 53, 112, 32, 135, 55, 111)(35, 137, 57, 120, 40, 139, 59, 115)(36, 140, 60, 119, 39, 142, 62, 116)(37, 143, 63, 118, 38, 145, 65, 117)(41, 149, 69, 122, 42, 151, 71, 121)(43, 153, 73, 124, 44, 155, 75, 123)(45, 157, 77, 126, 46, 159, 79, 125)(47, 158, 78, 128, 48, 160, 80, 127)(49, 156, 76, 130, 50, 154, 74, 129)(51, 152, 72, 132, 52, 150, 70, 131)(54, 144, 64, 136, 56, 146, 66, 134)(58, 147, 67, 148, 68, 141, 61, 138)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 36)(34, 39)(35, 55)(37, 62)(38, 60)(40, 53)(41, 57)(42, 59)(43, 63)(44, 65)(45, 69)(46, 71)(47, 73)(48, 75)(49, 77)(50, 79)(51, 78)(52, 80)(54, 76)(56, 74)(58, 66)(61, 72)(64, 68)(67, 70)(81, 84)(82, 88)(83, 86)(85, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 104)(100, 103)(105, 110)(106, 109)(107, 112)(108, 111)(113, 119)(114, 116)(115, 133)(117, 140)(118, 142)(120, 135)(121, 139)(122, 137)(123, 145)(124, 143)(125, 151)(126, 149)(127, 155)(128, 153)(129, 159)(130, 157)(131, 160)(132, 158)(134, 154)(136, 156)(138, 144)(141, 150)(146, 148)(147, 152)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2111 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 82, 2, 85, 5, 84, 4, 81)(3, 87, 7, 90, 10, 88, 8, 83)(6, 91, 11, 89, 9, 92, 12, 86)(13, 97, 17, 94, 14, 98, 18, 93)(15, 99, 19, 96, 16, 100, 20, 95)(21, 105, 25, 102, 22, 106, 26, 101)(23, 107, 27, 104, 24, 108, 28, 103)(29, 113, 33, 110, 30, 114, 34, 109)(31, 122, 42, 112, 32, 121, 41, 111)(35, 139, 59, 119, 39, 141, 61, 115)(36, 137, 57, 118, 38, 138, 58, 116)(37, 142, 62, 124, 44, 144, 64, 117)(40, 145, 65, 123, 43, 140, 60, 120)(45, 148, 68, 126, 46, 143, 63, 125)(47, 147, 67, 128, 48, 146, 66, 127)(49, 150, 70, 130, 50, 149, 69, 129)(51, 152, 72, 132, 52, 151, 71, 131)(53, 154, 74, 134, 54, 153, 73, 133)(55, 156, 76, 136, 56, 155, 75, 135)(77, 160, 80, 158, 78, 159, 79, 157)
	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, 57)(34, 58)(35, 60)(36, 62)(37, 63)(38, 64)(39, 65)(40, 66)(41, 59)(42, 61)(43, 67)(44, 68)(45, 69)(46, 70)(47, 71)(48, 72)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(81, 83)(82, 86)(84, 89)(85, 90)(87, 93)(88, 94)(91, 95)(92, 96)(97, 101)(98, 102)(99, 103)(100, 104)(105, 109)(106, 110)(107, 111)(108, 112)(113, 137)(114, 138)(115, 140)(116, 142)(117, 143)(118, 144)(119, 145)(120, 146)(121, 139)(122, 141)(123, 147)(124, 148)(125, 149)(126, 150)(127, 151)(128, 152)(129, 153)(130, 154)(131, 155)(132, 156)(133, 157)(134, 158)(135, 159)(136, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2112 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y2 * Y3 * Y2 * Y3 * Y1^2, Y2 * Y1^-2 * Y2 * Y1^2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 97, 17, 91, 11, 83)(4, 92, 12, 98, 18, 94, 14, 84)(7, 99, 19, 95, 15, 101, 21, 87)(8, 102, 22, 96, 16, 104, 24, 88)(10, 103, 23, 93, 13, 100, 20, 90)(25, 113, 33, 107, 27, 114, 34, 105)(26, 115, 35, 108, 28, 116, 36, 106)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 158, 78, 155, 75, 160, 80, 153)(74, 157, 77, 156, 76, 159, 79, 154)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 26)(14, 28)(16, 20)(19, 29)(21, 31)(22, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 88)(83, 90)(85, 96)(86, 98)(87, 100)(89, 106)(91, 108)(92, 107)(93, 97)(94, 105)(95, 103)(99, 110)(101, 112)(102, 111)(104, 109)(113, 122)(114, 124)(115, 123)(116, 121)(117, 126)(118, 128)(119, 127)(120, 125)(129, 138)(130, 140)(131, 139)(132, 137)(133, 142)(134, 144)(135, 143)(136, 141)(145, 154)(146, 156)(147, 155)(148, 153)(149, 158)(150, 160)(151, 159)(152, 157)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2113 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^2 * Y2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 97, 17, 91, 11, 83)(4, 92, 12, 98, 18, 94, 14, 84)(7, 99, 19, 95, 15, 101, 21, 87)(8, 102, 22, 96, 16, 104, 24, 88)(10, 103, 23, 93, 13, 100, 20, 90)(25, 113, 33, 107, 27, 114, 34, 105)(26, 115, 35, 108, 28, 116, 36, 106)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 160, 80, 155, 75, 158, 78, 153)(74, 159, 79, 156, 76, 157, 77, 154)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 26)(14, 28)(16, 20)(19, 29)(21, 31)(22, 30)(24, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 88)(83, 90)(85, 96)(86, 98)(87, 100)(89, 106)(91, 108)(92, 107)(93, 97)(94, 105)(95, 103)(99, 110)(101, 112)(102, 111)(104, 109)(113, 122)(114, 124)(115, 123)(116, 121)(117, 126)(118, 128)(119, 127)(120, 125)(129, 138)(130, 140)(131, 139)(132, 137)(133, 142)(134, 144)(135, 143)(136, 141)(145, 154)(146, 156)(147, 155)(148, 153)(149, 158)(150, 160)(151, 159)(152, 157)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2114 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C40 x C2) : C2 (small group id <160, 125>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y1 * Y2 * Y3^2, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * 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 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 6, 86, 5, 85)(2, 82, 7, 87, 3, 83, 8, 88)(9, 89, 13, 93, 10, 90, 14, 94)(11, 91, 15, 95, 12, 92, 16, 96)(17, 97, 21, 101, 18, 98, 22, 102)(19, 99, 23, 103, 20, 100, 24, 104)(25, 105, 29, 109, 26, 106, 30, 110)(27, 107, 31, 111, 28, 108, 32, 112)(33, 113, 57, 137, 34, 114, 58, 138)(35, 115, 61, 141, 40, 120, 62, 142)(36, 116, 63, 143, 37, 117, 64, 144)(38, 118, 65, 145, 39, 119, 66, 146)(41, 121, 67, 147, 42, 122, 68, 148)(43, 123, 60, 140, 44, 124, 59, 139)(45, 125, 69, 149, 46, 126, 70, 150)(47, 127, 71, 151, 48, 128, 72, 152)(49, 129, 73, 153, 50, 130, 74, 154)(51, 131, 75, 155, 52, 132, 76, 156)(53, 133, 77, 157, 54, 134, 78, 158)(55, 135, 79, 159, 56, 136, 80, 160)(161, 162)(163, 166)(164, 169)(165, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 193)(190, 194)(191, 204)(192, 203)(195, 219)(196, 217)(197, 218)(198, 223)(199, 224)(200, 220)(201, 221)(202, 222)(205, 225)(206, 226)(207, 227)(208, 228)(209, 229)(210, 230)(211, 231)(212, 232)(213, 233)(214, 234)(215, 235)(216, 236)(237, 240)(238, 239)(241, 243)(242, 246)(244, 250)(245, 249)(247, 252)(248, 251)(253, 258)(254, 257)(255, 260)(256, 259)(261, 266)(262, 265)(263, 268)(264, 267)(269, 274)(270, 273)(271, 283)(272, 284)(275, 300)(276, 298)(277, 297)(278, 304)(279, 303)(280, 299)(281, 302)(282, 301)(285, 306)(286, 305)(287, 308)(288, 307)(289, 310)(290, 309)(291, 312)(292, 311)(293, 314)(294, 313)(295, 316)(296, 315)(317, 319)(318, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2122
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2115 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 3, 83, 8, 88, 4, 84)(2, 82, 5, 85, 11, 91, 6, 86)(7, 87, 13, 93, 9, 89, 14, 94)(10, 90, 15, 95, 12, 92, 16, 96)(17, 97, 21, 101, 18, 98, 22, 102)(19, 99, 23, 103, 20, 100, 24, 104)(25, 105, 29, 109, 26, 106, 30, 110)(27, 107, 31, 111, 28, 108, 32, 112)(33, 113, 53, 133, 34, 114, 54, 134)(35, 115, 66, 146, 42, 122, 68, 148)(36, 116, 67, 147, 45, 125, 70, 150)(37, 117, 72, 152, 38, 118, 69, 149)(39, 119, 77, 157, 40, 120, 65, 145)(41, 121, 73, 153, 43, 123, 75, 155)(44, 124, 78, 158, 46, 126, 80, 160)(47, 127, 74, 154, 48, 128, 71, 151)(49, 129, 79, 159, 50, 130, 76, 156)(51, 131, 63, 143, 52, 132, 61, 141)(55, 135, 64, 144, 56, 136, 62, 142)(57, 137, 60, 140, 58, 138, 59, 139)(161, 162)(163, 167)(164, 169)(165, 170)(166, 172)(168, 171)(173, 177)(174, 178)(175, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 193)(190, 194)(191, 221)(192, 223)(195, 225)(196, 229)(197, 231)(198, 234)(199, 236)(200, 239)(201, 226)(202, 237)(203, 228)(204, 227)(205, 232)(206, 230)(207, 222)(208, 224)(209, 219)(210, 220)(211, 233)(212, 235)(213, 238)(214, 240)(215, 218)(216, 217)(241, 242)(243, 247)(244, 249)(245, 250)(246, 252)(248, 251)(253, 257)(254, 258)(255, 259)(256, 260)(261, 265)(262, 266)(263, 267)(264, 268)(269, 273)(270, 274)(271, 301)(272, 303)(275, 305)(276, 309)(277, 311)(278, 314)(279, 316)(280, 319)(281, 306)(282, 317)(283, 308)(284, 307)(285, 312)(286, 310)(287, 302)(288, 304)(289, 299)(290, 300)(291, 313)(292, 315)(293, 318)(294, 320)(295, 298)(296, 297)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2123
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2116 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 14, 94, 5, 85)(2, 82, 7, 87, 22, 102, 8, 88)(3, 83, 10, 90, 17, 97, 11, 91)(6, 86, 18, 98, 9, 89, 19, 99)(12, 92, 25, 105, 15, 95, 26, 106)(13, 93, 27, 107, 16, 96, 28, 108)(20, 100, 29, 109, 23, 103, 30, 110)(21, 101, 31, 111, 24, 104, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 169)(164, 172)(165, 175)(166, 177)(167, 180)(168, 183)(170, 181)(171, 184)(173, 178)(174, 182)(176, 179)(185, 193)(186, 195)(187, 194)(188, 196)(189, 197)(190, 199)(191, 198)(192, 200)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 239)(234, 240)(235, 237)(236, 238)(241, 243)(242, 246)(244, 253)(245, 256)(247, 261)(248, 264)(249, 262)(250, 263)(251, 260)(252, 259)(254, 257)(255, 258)(265, 274)(266, 276)(267, 275)(268, 273)(269, 278)(270, 280)(271, 279)(272, 277)(281, 290)(282, 292)(283, 291)(284, 289)(285, 294)(286, 296)(287, 295)(288, 293)(297, 306)(298, 308)(299, 307)(300, 305)(301, 310)(302, 312)(303, 311)(304, 309)(313, 317)(314, 318)(315, 320)(316, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2124
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2117 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 14, 94, 5, 85)(2, 82, 7, 87, 22, 102, 8, 88)(3, 83, 10, 90, 17, 97, 11, 91)(6, 86, 18, 98, 9, 89, 19, 99)(12, 92, 25, 105, 15, 95, 26, 106)(13, 93, 27, 107, 16, 96, 28, 108)(20, 100, 29, 109, 23, 103, 30, 110)(21, 101, 31, 111, 24, 104, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 169)(164, 172)(165, 175)(166, 177)(167, 180)(168, 183)(170, 181)(171, 184)(173, 178)(174, 182)(176, 179)(185, 193)(186, 195)(187, 194)(188, 196)(189, 197)(190, 199)(191, 198)(192, 200)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 240)(234, 239)(235, 238)(236, 237)(241, 243)(242, 246)(244, 253)(245, 256)(247, 261)(248, 264)(249, 262)(250, 263)(251, 260)(252, 259)(254, 257)(255, 258)(265, 274)(266, 276)(267, 275)(268, 273)(269, 278)(270, 280)(271, 279)(272, 277)(281, 290)(282, 292)(283, 291)(284, 289)(285, 294)(286, 296)(287, 295)(288, 293)(297, 306)(298, 308)(299, 307)(300, 305)(301, 310)(302, 312)(303, 311)(304, 309)(313, 318)(314, 317)(315, 319)(316, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2125
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2118 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = C2 x (C40 : C2) (small group id <160, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2 * Y1^-2 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^2 * Y3 * Y1^-2, (Y2^-1 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 7, 87)(5, 85, 10, 90)(8, 88, 13, 93)(9, 89, 14, 94)(11, 91, 15, 95)(12, 92, 16, 96)(17, 97, 21, 101)(18, 98, 22, 102)(19, 99, 23, 103)(20, 100, 24, 104)(25, 105, 29, 109)(26, 106, 30, 110)(27, 107, 31, 111)(28, 108, 32, 112)(33, 113, 61, 141)(34, 114, 62, 142)(35, 115, 65, 145)(36, 116, 68, 148)(37, 117, 69, 149)(38, 118, 70, 150)(39, 119, 71, 151)(40, 120, 72, 152)(41, 121, 73, 153)(42, 122, 63, 143)(43, 123, 64, 144)(44, 124, 76, 156)(45, 125, 66, 146)(46, 126, 67, 147)(47, 127, 77, 157)(48, 128, 78, 158)(49, 129, 79, 159)(50, 130, 80, 160)(51, 131, 74, 154)(52, 132, 75, 155)(53, 133, 59, 139)(54, 134, 60, 140)(55, 135, 58, 138)(56, 136, 57, 137)(161, 162, 165, 163)(164, 168, 170, 169)(166, 171, 167, 172)(173, 177, 174, 178)(175, 179, 176, 180)(181, 185, 182, 186)(183, 187, 184, 188)(189, 193, 190, 194)(191, 212, 192, 211)(195, 223, 199, 224)(196, 226, 197, 227)(198, 228, 204, 229)(200, 231, 201, 225)(202, 234, 203, 235)(205, 221, 206, 222)(207, 236, 208, 230)(209, 233, 210, 232)(213, 238, 214, 237)(215, 240, 216, 239)(217, 220, 218, 219)(241, 243, 245, 242)(244, 249, 250, 248)(246, 252, 247, 251)(253, 258, 254, 257)(255, 260, 256, 259)(261, 266, 262, 265)(263, 268, 264, 267)(269, 274, 270, 273)(271, 291, 272, 292)(275, 304, 279, 303)(276, 307, 277, 306)(278, 309, 284, 308)(280, 305, 281, 311)(282, 315, 283, 314)(285, 302, 286, 301)(287, 310, 288, 316)(289, 312, 290, 313)(293, 317, 294, 318)(295, 319, 296, 320)(297, 299, 298, 300)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2126
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2119 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83)(2, 82, 6, 86)(4, 84, 9, 89)(5, 85, 10, 90)(7, 87, 13, 93)(8, 88, 14, 94)(11, 91, 15, 95)(12, 92, 16, 96)(17, 97, 21, 101)(18, 98, 22, 102)(19, 99, 23, 103)(20, 100, 24, 104)(25, 105, 29, 109)(26, 106, 30, 110)(27, 107, 31, 111)(28, 108, 32, 112)(33, 113, 53, 133)(34, 114, 54, 134)(35, 115, 55, 135)(36, 116, 56, 136)(37, 117, 57, 137)(38, 118, 58, 138)(39, 119, 59, 139)(40, 120, 60, 140)(41, 121, 61, 141)(42, 122, 62, 142)(43, 123, 63, 143)(44, 124, 64, 144)(45, 125, 65, 145)(46, 126, 66, 146)(47, 127, 67, 147)(48, 128, 68, 148)(49, 129, 69, 149)(50, 130, 70, 150)(51, 131, 71, 151)(52, 132, 72, 152)(73, 153, 80, 160)(74, 154, 79, 159)(75, 155, 78, 158)(76, 156, 77, 157)(161, 162, 165, 164)(163, 167, 170, 168)(166, 171, 169, 172)(173, 177, 174, 178)(175, 179, 176, 180)(181, 185, 182, 186)(183, 187, 184, 188)(189, 193, 190, 194)(191, 197, 192, 195)(196, 213, 200, 214)(198, 217, 199, 215)(201, 220, 202, 216)(203, 219, 204, 218)(205, 222, 206, 221)(207, 224, 208, 223)(209, 226, 210, 225)(211, 228, 212, 227)(229, 233, 230, 234)(231, 236, 232, 235)(237, 240, 238, 239)(241, 242, 245, 244)(243, 247, 250, 248)(246, 251, 249, 252)(253, 257, 254, 258)(255, 259, 256, 260)(261, 265, 262, 266)(263, 267, 264, 268)(269, 273, 270, 274)(271, 277, 272, 275)(276, 293, 280, 294)(278, 297, 279, 295)(281, 300, 282, 296)(283, 299, 284, 298)(285, 302, 286, 301)(287, 304, 288, 303)(289, 306, 290, 305)(291, 308, 292, 307)(309, 313, 310, 314)(311, 316, 312, 315)(317, 320, 318, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2127
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2120 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-2 * Y2^-1, Y1^4, Y2^-2 * Y1^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, (Y2 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 25, 105)(13, 93, 26, 106)(14, 94, 27, 107)(15, 95, 28, 108)(20, 100, 29, 109)(21, 101, 30, 110)(22, 102, 31, 111)(23, 103, 32, 112)(33, 113, 41, 121)(34, 114, 42, 122)(35, 115, 43, 123)(36, 116, 44, 124)(37, 117, 45, 125)(38, 118, 46, 126)(39, 119, 47, 127)(40, 120, 48, 128)(49, 129, 57, 137)(50, 130, 58, 138)(51, 131, 59, 139)(52, 132, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162, 167, 165)(163, 170, 166, 168)(164, 172, 178, 174)(169, 180, 176, 182)(171, 181, 177, 183)(173, 179, 175, 184)(185, 193, 187, 195)(186, 194, 188, 196)(189, 197, 191, 199)(190, 198, 192, 200)(201, 209, 203, 211)(202, 210, 204, 212)(205, 213, 207, 215)(206, 214, 208, 216)(217, 225, 219, 227)(218, 226, 220, 228)(221, 229, 223, 231)(222, 230, 224, 232)(233, 238, 235, 240)(234, 237, 236, 239)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 258, 255)(249, 261, 256, 263)(251, 262, 257, 260)(252, 264, 254, 259)(265, 274, 267, 276)(266, 275, 268, 273)(269, 278, 271, 280)(270, 279, 272, 277)(281, 290, 283, 292)(282, 291, 284, 289)(285, 294, 287, 296)(286, 295, 288, 293)(297, 306, 299, 308)(298, 307, 300, 305)(301, 310, 303, 312)(302, 311, 304, 309)(313, 317, 315, 319)(314, 320, 316, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2128
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2121 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = QD16 x D10 (small group id <160, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^2 * Y1^2, Y1^4, R * Y1 * R * Y2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 25, 105)(13, 93, 26, 106)(14, 94, 27, 107)(15, 95, 28, 108)(20, 100, 29, 109)(21, 101, 30, 110)(22, 102, 31, 111)(23, 103, 32, 112)(33, 113, 41, 121)(34, 114, 42, 122)(35, 115, 43, 123)(36, 116, 44, 124)(37, 117, 45, 125)(38, 118, 46, 126)(39, 119, 47, 127)(40, 120, 48, 128)(49, 129, 57, 137)(50, 130, 58, 138)(51, 131, 59, 139)(52, 132, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162, 167, 165)(163, 170, 166, 168)(164, 172, 178, 174)(169, 180, 176, 182)(171, 181, 177, 183)(173, 179, 175, 184)(185, 193, 187, 195)(186, 194, 188, 196)(189, 197, 191, 199)(190, 198, 192, 200)(201, 209, 203, 211)(202, 210, 204, 212)(205, 213, 207, 215)(206, 214, 208, 216)(217, 225, 219, 227)(218, 226, 220, 228)(221, 229, 223, 231)(222, 230, 224, 232)(233, 240, 235, 238)(234, 239, 236, 237)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 258, 255)(249, 261, 256, 263)(251, 262, 257, 260)(252, 264, 254, 259)(265, 274, 267, 276)(266, 275, 268, 273)(269, 278, 271, 280)(270, 279, 272, 277)(281, 290, 283, 292)(282, 291, 284, 289)(285, 294, 287, 296)(286, 295, 288, 293)(297, 306, 299, 308)(298, 307, 300, 305)(301, 310, 303, 312)(302, 311, 304, 309)(313, 319, 315, 317)(314, 318, 316, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2129
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2122 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C40 x C2) : C2 (small group id <160, 125>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y1 * Y2 * Y3^2, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * 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 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 6, 86, 166, 246, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 3, 83, 163, 243, 8, 88, 168, 248)(9, 89, 169, 249, 13, 93, 173, 253, 10, 90, 170, 250, 14, 94, 174, 254)(11, 91, 171, 251, 15, 95, 175, 255, 12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261, 18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263, 20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269, 26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271, 28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 57, 137, 217, 297, 34, 114, 194, 274, 58, 138, 218, 298)(35, 115, 195, 275, 61, 141, 221, 301, 40, 120, 200, 280, 62, 142, 222, 302)(36, 116, 196, 276, 63, 143, 223, 303, 37, 117, 197, 277, 64, 144, 224, 304)(38, 118, 198, 278, 65, 145, 225, 305, 39, 119, 199, 279, 66, 146, 226, 306)(41, 121, 201, 281, 67, 147, 227, 307, 42, 122, 202, 282, 68, 148, 228, 308)(43, 123, 203, 283, 60, 140, 220, 300, 44, 124, 204, 284, 59, 139, 219, 299)(45, 125, 205, 285, 69, 149, 229, 309, 46, 126, 206, 286, 70, 150, 230, 310)(47, 127, 207, 287, 71, 151, 231, 311, 48, 128, 208, 288, 72, 152, 232, 312)(49, 129, 209, 289, 73, 153, 233, 313, 50, 130, 210, 290, 74, 154, 234, 314)(51, 131, 211, 291, 75, 155, 235, 315, 52, 132, 212, 292, 76, 156, 236, 316)(53, 133, 213, 293, 77, 157, 237, 317, 54, 134, 214, 294, 78, 158, 238, 318)(55, 135, 215, 295, 79, 159, 239, 319, 56, 136, 216, 296, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 86)(4, 89)(5, 90)(6, 83)(7, 91)(8, 92)(9, 84)(10, 85)(11, 87)(12, 88)(13, 97)(14, 98)(15, 99)(16, 100)(17, 93)(18, 94)(19, 95)(20, 96)(21, 105)(22, 106)(23, 107)(24, 108)(25, 101)(26, 102)(27, 103)(28, 104)(29, 113)(30, 114)(31, 124)(32, 123)(33, 109)(34, 110)(35, 139)(36, 137)(37, 138)(38, 143)(39, 144)(40, 140)(41, 141)(42, 142)(43, 112)(44, 111)(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, 116)(58, 117)(59, 115)(60, 120)(61, 121)(62, 122)(63, 118)(64, 119)(65, 125)(66, 126)(67, 127)(68, 128)(69, 129)(70, 130)(71, 131)(72, 132)(73, 133)(74, 134)(75, 135)(76, 136)(77, 160)(78, 159)(79, 158)(80, 157)(161, 243)(162, 246)(163, 241)(164, 250)(165, 249)(166, 242)(167, 252)(168, 251)(169, 245)(170, 244)(171, 248)(172, 247)(173, 258)(174, 257)(175, 260)(176, 259)(177, 254)(178, 253)(179, 256)(180, 255)(181, 266)(182, 265)(183, 268)(184, 267)(185, 262)(186, 261)(187, 264)(188, 263)(189, 274)(190, 273)(191, 283)(192, 284)(193, 270)(194, 269)(195, 300)(196, 298)(197, 297)(198, 304)(199, 303)(200, 299)(201, 302)(202, 301)(203, 271)(204, 272)(205, 306)(206, 305)(207, 308)(208, 307)(209, 310)(210, 309)(211, 312)(212, 311)(213, 314)(214, 313)(215, 316)(216, 315)(217, 277)(218, 276)(219, 280)(220, 275)(221, 282)(222, 281)(223, 279)(224, 278)(225, 286)(226, 285)(227, 288)(228, 287)(229, 290)(230, 289)(231, 292)(232, 291)(233, 294)(234, 293)(235, 296)(236, 295)(237, 319)(238, 320)(239, 317)(240, 318)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2114
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2123 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 3, 83, 163, 243, 8, 88, 168, 248, 4, 84, 164, 244)(2, 82, 162, 242, 5, 85, 165, 245, 11, 91, 171, 251, 6, 86, 166, 246)(7, 87, 167, 247, 13, 93, 173, 253, 9, 89, 169, 249, 14, 94, 174, 254)(10, 90, 170, 250, 15, 95, 175, 255, 12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261, 18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263, 20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269, 26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271, 28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 53, 133, 213, 293, 34, 114, 194, 274, 55, 135, 215, 295)(35, 115, 195, 275, 57, 137, 217, 297, 40, 120, 200, 280, 59, 139, 219, 299)(36, 116, 196, 276, 61, 141, 221, 301, 43, 123, 203, 283, 63, 143, 223, 303)(37, 117, 197, 277, 64, 144, 224, 304, 38, 118, 198, 278, 60, 140, 220, 300)(39, 119, 199, 279, 67, 147, 227, 307, 41, 121, 201, 281, 69, 149, 229, 309)(42, 122, 202, 282, 72, 152, 232, 312, 44, 124, 204, 284, 74, 154, 234, 314)(45, 125, 205, 285, 77, 157, 237, 317, 46, 126, 206, 286, 79, 159, 239, 319)(47, 127, 207, 287, 78, 158, 238, 318, 48, 128, 208, 288, 80, 160, 240, 320)(49, 129, 209, 289, 76, 156, 236, 316, 50, 130, 210, 290, 73, 153, 233, 313)(51, 131, 211, 291, 71, 151, 231, 311, 52, 132, 212, 292, 68, 148, 228, 308)(54, 134, 214, 294, 62, 142, 222, 302, 56, 136, 216, 296, 75, 155, 235, 315)(58, 138, 218, 298, 66, 146, 226, 306, 70, 150, 230, 310, 65, 145, 225, 305)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 90)(6, 92)(7, 83)(8, 91)(9, 84)(10, 85)(11, 88)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 93)(18, 94)(19, 95)(20, 96)(21, 105)(22, 106)(23, 107)(24, 108)(25, 101)(26, 102)(27, 103)(28, 104)(29, 113)(30, 114)(31, 117)(32, 118)(33, 109)(34, 110)(35, 135)(36, 140)(37, 111)(38, 112)(39, 137)(40, 133)(41, 139)(42, 141)(43, 144)(44, 143)(45, 147)(46, 149)(47, 152)(48, 154)(49, 157)(50, 159)(51, 158)(52, 160)(53, 120)(54, 156)(55, 115)(56, 153)(57, 119)(58, 155)(59, 121)(60, 116)(61, 122)(62, 150)(63, 124)(64, 123)(65, 151)(66, 148)(67, 125)(68, 146)(69, 126)(70, 142)(71, 145)(72, 127)(73, 136)(74, 128)(75, 138)(76, 134)(77, 129)(78, 131)(79, 130)(80, 132)(161, 242)(162, 241)(163, 247)(164, 249)(165, 250)(166, 252)(167, 243)(168, 251)(169, 244)(170, 245)(171, 248)(172, 246)(173, 257)(174, 258)(175, 259)(176, 260)(177, 253)(178, 254)(179, 255)(180, 256)(181, 265)(182, 266)(183, 267)(184, 268)(185, 261)(186, 262)(187, 263)(188, 264)(189, 273)(190, 274)(191, 277)(192, 278)(193, 269)(194, 270)(195, 295)(196, 300)(197, 271)(198, 272)(199, 297)(200, 293)(201, 299)(202, 301)(203, 304)(204, 303)(205, 307)(206, 309)(207, 312)(208, 314)(209, 317)(210, 319)(211, 318)(212, 320)(213, 280)(214, 316)(215, 275)(216, 313)(217, 279)(218, 315)(219, 281)(220, 276)(221, 282)(222, 310)(223, 284)(224, 283)(225, 311)(226, 308)(227, 285)(228, 306)(229, 286)(230, 302)(231, 305)(232, 287)(233, 296)(234, 288)(235, 298)(236, 294)(237, 289)(238, 291)(239, 290)(240, 292)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2115
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2124 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 14, 94, 174, 254, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 22, 102, 182, 262, 8, 88, 168, 248)(3, 83, 163, 243, 10, 90, 170, 250, 17, 97, 177, 257, 11, 91, 171, 251)(6, 86, 166, 246, 18, 98, 178, 258, 9, 89, 169, 249, 19, 99, 179, 259)(12, 92, 172, 252, 25, 105, 185, 265, 15, 95, 175, 255, 26, 106, 186, 266)(13, 93, 173, 253, 27, 107, 187, 267, 16, 96, 176, 256, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269, 23, 103, 183, 263, 30, 110, 190, 270)(21, 101, 181, 261, 31, 111, 191, 271, 24, 104, 184, 264, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 89)(4, 92)(5, 95)(6, 97)(7, 100)(8, 103)(9, 83)(10, 101)(11, 104)(12, 84)(13, 98)(14, 102)(15, 85)(16, 99)(17, 86)(18, 93)(19, 96)(20, 87)(21, 90)(22, 94)(23, 88)(24, 91)(25, 113)(26, 115)(27, 114)(28, 116)(29, 117)(30, 119)(31, 118)(32, 120)(33, 105)(34, 107)(35, 106)(36, 108)(37, 109)(38, 111)(39, 110)(40, 112)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 159)(74, 160)(75, 157)(76, 158)(77, 155)(78, 156)(79, 153)(80, 154)(161, 243)(162, 246)(163, 241)(164, 253)(165, 256)(166, 242)(167, 261)(168, 264)(169, 262)(170, 263)(171, 260)(172, 259)(173, 244)(174, 257)(175, 258)(176, 245)(177, 254)(178, 255)(179, 252)(180, 251)(181, 247)(182, 249)(183, 250)(184, 248)(185, 274)(186, 276)(187, 275)(188, 273)(189, 278)(190, 280)(191, 279)(192, 277)(193, 268)(194, 265)(195, 267)(196, 266)(197, 272)(198, 269)(199, 271)(200, 270)(201, 290)(202, 292)(203, 291)(204, 289)(205, 294)(206, 296)(207, 295)(208, 293)(209, 284)(210, 281)(211, 283)(212, 282)(213, 288)(214, 285)(215, 287)(216, 286)(217, 306)(218, 308)(219, 307)(220, 305)(221, 310)(222, 312)(223, 311)(224, 309)(225, 300)(226, 297)(227, 299)(228, 298)(229, 304)(230, 301)(231, 303)(232, 302)(233, 317)(234, 318)(235, 320)(236, 319)(237, 313)(238, 314)(239, 316)(240, 315)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2116
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2125 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C8 x D10) : C2 (small group id <160, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 14, 94, 174, 254, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 22, 102, 182, 262, 8, 88, 168, 248)(3, 83, 163, 243, 10, 90, 170, 250, 17, 97, 177, 257, 11, 91, 171, 251)(6, 86, 166, 246, 18, 98, 178, 258, 9, 89, 169, 249, 19, 99, 179, 259)(12, 92, 172, 252, 25, 105, 185, 265, 15, 95, 175, 255, 26, 106, 186, 266)(13, 93, 173, 253, 27, 107, 187, 267, 16, 96, 176, 256, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269, 23, 103, 183, 263, 30, 110, 190, 270)(21, 101, 181, 261, 31, 111, 191, 271, 24, 104, 184, 264, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 89)(4, 92)(5, 95)(6, 97)(7, 100)(8, 103)(9, 83)(10, 101)(11, 104)(12, 84)(13, 98)(14, 102)(15, 85)(16, 99)(17, 86)(18, 93)(19, 96)(20, 87)(21, 90)(22, 94)(23, 88)(24, 91)(25, 113)(26, 115)(27, 114)(28, 116)(29, 117)(30, 119)(31, 118)(32, 120)(33, 105)(34, 107)(35, 106)(36, 108)(37, 109)(38, 111)(39, 110)(40, 112)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 160)(74, 159)(75, 158)(76, 157)(77, 156)(78, 155)(79, 154)(80, 153)(161, 243)(162, 246)(163, 241)(164, 253)(165, 256)(166, 242)(167, 261)(168, 264)(169, 262)(170, 263)(171, 260)(172, 259)(173, 244)(174, 257)(175, 258)(176, 245)(177, 254)(178, 255)(179, 252)(180, 251)(181, 247)(182, 249)(183, 250)(184, 248)(185, 274)(186, 276)(187, 275)(188, 273)(189, 278)(190, 280)(191, 279)(192, 277)(193, 268)(194, 265)(195, 267)(196, 266)(197, 272)(198, 269)(199, 271)(200, 270)(201, 290)(202, 292)(203, 291)(204, 289)(205, 294)(206, 296)(207, 295)(208, 293)(209, 284)(210, 281)(211, 283)(212, 282)(213, 288)(214, 285)(215, 287)(216, 286)(217, 306)(218, 308)(219, 307)(220, 305)(221, 310)(222, 312)(223, 311)(224, 309)(225, 300)(226, 297)(227, 299)(228, 298)(229, 304)(230, 301)(231, 303)(232, 302)(233, 318)(234, 317)(235, 319)(236, 320)(237, 314)(238, 313)(239, 315)(240, 316)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2117
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2126 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = C2 x (C40 : C2) (small group id <160, 123>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, Y2 * Y1^-2 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^2 * Y3 * Y1^-2, (Y2^-1 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 7, 87, 167, 247)(5, 85, 165, 245, 10, 90, 170, 250)(8, 88, 168, 248, 13, 93, 173, 253)(9, 89, 169, 249, 14, 94, 174, 254)(11, 91, 171, 251, 15, 95, 175, 255)(12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261)(18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263)(20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269)(26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271)(28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 53, 133, 213, 293)(34, 114, 194, 274, 54, 134, 214, 294)(35, 115, 195, 275, 55, 135, 215, 295)(36, 116, 196, 276, 56, 136, 216, 296)(37, 117, 197, 277, 57, 137, 217, 297)(38, 118, 198, 278, 58, 138, 218, 298)(39, 119, 199, 279, 59, 139, 219, 299)(40, 120, 200, 280, 60, 140, 220, 300)(41, 121, 201, 281, 61, 141, 221, 301)(42, 122, 202, 282, 62, 142, 222, 302)(43, 123, 203, 283, 63, 143, 223, 303)(44, 124, 204, 284, 64, 144, 224, 304)(45, 125, 205, 285, 65, 145, 225, 305)(46, 126, 206, 286, 66, 146, 226, 306)(47, 127, 207, 287, 67, 147, 227, 307)(48, 128, 208, 288, 68, 148, 228, 308)(49, 129, 209, 289, 69, 149, 229, 309)(50, 130, 210, 290, 70, 150, 230, 310)(51, 131, 211, 291, 71, 151, 231, 311)(52, 132, 212, 292, 72, 152, 232, 312)(73, 153, 233, 313, 79, 159, 239, 319)(74, 154, 234, 314, 80, 160, 240, 320)(75, 155, 235, 315, 78, 158, 238, 318)(76, 156, 236, 316, 77, 157, 237, 317)
	L = (1, 82)(2, 85)(3, 81)(4, 88)(5, 83)(6, 91)(7, 92)(8, 90)(9, 84)(10, 89)(11, 87)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 94)(18, 93)(19, 96)(20, 95)(21, 105)(22, 106)(23, 107)(24, 108)(25, 102)(26, 101)(27, 104)(28, 103)(29, 113)(30, 114)(31, 115)(32, 117)(33, 110)(34, 109)(35, 112)(36, 134)(37, 111)(38, 137)(39, 135)(40, 133)(41, 140)(42, 136)(43, 139)(44, 138)(45, 142)(46, 141)(47, 144)(48, 143)(49, 146)(50, 145)(51, 148)(52, 147)(53, 116)(54, 120)(55, 118)(56, 121)(57, 119)(58, 123)(59, 124)(60, 122)(61, 125)(62, 126)(63, 127)(64, 128)(65, 129)(66, 130)(67, 131)(68, 132)(69, 153)(70, 154)(71, 155)(72, 156)(73, 150)(74, 149)(75, 152)(76, 151)(77, 160)(78, 159)(79, 157)(80, 158)(161, 243)(162, 241)(163, 245)(164, 249)(165, 242)(166, 252)(167, 251)(168, 244)(169, 250)(170, 248)(171, 246)(172, 247)(173, 258)(174, 257)(175, 260)(176, 259)(177, 253)(178, 254)(179, 255)(180, 256)(181, 266)(182, 265)(183, 268)(184, 267)(185, 261)(186, 262)(187, 263)(188, 264)(189, 274)(190, 273)(191, 277)(192, 275)(193, 269)(194, 270)(195, 271)(196, 293)(197, 272)(198, 295)(199, 297)(200, 294)(201, 296)(202, 300)(203, 298)(204, 299)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 280)(214, 276)(215, 279)(216, 282)(217, 278)(218, 284)(219, 283)(220, 281)(221, 286)(222, 285)(223, 288)(224, 287)(225, 290)(226, 289)(227, 292)(228, 291)(229, 314)(230, 313)(231, 316)(232, 315)(233, 309)(234, 310)(235, 311)(236, 312)(237, 319)(238, 320)(239, 318)(240, 317)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2118
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2127 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 3, 83, 163, 243)(2, 82, 162, 242, 6, 86, 166, 246)(4, 84, 164, 244, 9, 89, 169, 249)(5, 85, 165, 245, 10, 90, 170, 250)(7, 87, 167, 247, 13, 93, 173, 253)(8, 88, 168, 248, 14, 94, 174, 254)(11, 91, 171, 251, 15, 95, 175, 255)(12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261)(18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263)(20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269)(26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271)(28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 53, 133, 213, 293)(34, 114, 194, 274, 54, 134, 214, 294)(35, 115, 195, 275, 55, 135, 215, 295)(36, 116, 196, 276, 56, 136, 216, 296)(37, 117, 197, 277, 57, 137, 217, 297)(38, 118, 198, 278, 58, 138, 218, 298)(39, 119, 199, 279, 59, 139, 219, 299)(40, 120, 200, 280, 60, 140, 220, 300)(41, 121, 201, 281, 61, 141, 221, 301)(42, 122, 202, 282, 62, 142, 222, 302)(43, 123, 203, 283, 63, 143, 223, 303)(44, 124, 204, 284, 64, 144, 224, 304)(45, 125, 205, 285, 65, 145, 225, 305)(46, 126, 206, 286, 66, 146, 226, 306)(47, 127, 207, 287, 67, 147, 227, 307)(48, 128, 208, 288, 68, 148, 228, 308)(49, 129, 209, 289, 69, 149, 229, 309)(50, 130, 210, 290, 70, 150, 230, 310)(51, 131, 211, 291, 71, 151, 231, 311)(52, 132, 212, 292, 72, 152, 232, 312)(73, 153, 233, 313, 80, 160, 240, 320)(74, 154, 234, 314, 79, 159, 239, 319)(75, 155, 235, 315, 78, 158, 238, 318)(76, 156, 236, 316, 77, 157, 237, 317)
	L = (1, 82)(2, 85)(3, 87)(4, 81)(5, 84)(6, 91)(7, 90)(8, 83)(9, 92)(10, 88)(11, 89)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 94)(18, 93)(19, 96)(20, 95)(21, 105)(22, 106)(23, 107)(24, 108)(25, 102)(26, 101)(27, 104)(28, 103)(29, 113)(30, 114)(31, 117)(32, 115)(33, 110)(34, 109)(35, 111)(36, 133)(37, 112)(38, 137)(39, 135)(40, 134)(41, 140)(42, 136)(43, 139)(44, 138)(45, 142)(46, 141)(47, 144)(48, 143)(49, 146)(50, 145)(51, 148)(52, 147)(53, 120)(54, 116)(55, 118)(56, 121)(57, 119)(58, 123)(59, 124)(60, 122)(61, 125)(62, 126)(63, 127)(64, 128)(65, 129)(66, 130)(67, 131)(68, 132)(69, 153)(70, 154)(71, 156)(72, 155)(73, 150)(74, 149)(75, 151)(76, 152)(77, 160)(78, 159)(79, 157)(80, 158)(161, 242)(162, 245)(163, 247)(164, 241)(165, 244)(166, 251)(167, 250)(168, 243)(169, 252)(170, 248)(171, 249)(172, 246)(173, 257)(174, 258)(175, 259)(176, 260)(177, 254)(178, 253)(179, 256)(180, 255)(181, 265)(182, 266)(183, 267)(184, 268)(185, 262)(186, 261)(187, 264)(188, 263)(189, 273)(190, 274)(191, 277)(192, 275)(193, 270)(194, 269)(195, 271)(196, 293)(197, 272)(198, 297)(199, 295)(200, 294)(201, 300)(202, 296)(203, 299)(204, 298)(205, 302)(206, 301)(207, 304)(208, 303)(209, 306)(210, 305)(211, 308)(212, 307)(213, 280)(214, 276)(215, 278)(216, 281)(217, 279)(218, 283)(219, 284)(220, 282)(221, 285)(222, 286)(223, 287)(224, 288)(225, 289)(226, 290)(227, 291)(228, 292)(229, 313)(230, 314)(231, 316)(232, 315)(233, 310)(234, 309)(235, 311)(236, 312)(237, 320)(238, 319)(239, 317)(240, 318)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2119
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2128 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-2 * Y2^-1, Y1^4, Y2^-2 * Y1^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, (Y2 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 25, 105, 185, 265)(13, 93, 173, 253, 26, 106, 186, 266)(14, 94, 174, 254, 27, 107, 187, 267)(15, 95, 175, 255, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269)(21, 101, 181, 261, 30, 110, 190, 270)(22, 102, 182, 262, 31, 111, 191, 271)(23, 103, 183, 263, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281)(34, 114, 194, 274, 42, 122, 202, 282)(35, 115, 195, 275, 43, 123, 203, 283)(36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285)(38, 118, 198, 278, 46, 126, 206, 286)(39, 119, 199, 279, 47, 127, 207, 287)(40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297)(50, 130, 210, 290, 58, 138, 218, 298)(51, 131, 211, 291, 59, 139, 219, 299)(52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 90)(4, 92)(5, 81)(6, 88)(7, 85)(8, 83)(9, 100)(10, 86)(11, 101)(12, 98)(13, 99)(14, 84)(15, 104)(16, 102)(17, 103)(18, 94)(19, 95)(20, 96)(21, 97)(22, 89)(23, 91)(24, 93)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 107)(34, 108)(35, 105)(36, 106)(37, 111)(38, 112)(39, 109)(40, 110)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 123)(50, 124)(51, 121)(52, 122)(53, 127)(54, 128)(55, 125)(56, 126)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 139)(66, 140)(67, 137)(68, 138)(69, 143)(70, 144)(71, 141)(72, 142)(73, 158)(74, 157)(75, 160)(76, 159)(77, 156)(78, 155)(79, 154)(80, 153)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 262)(172, 264)(173, 258)(174, 259)(175, 244)(176, 263)(177, 260)(178, 255)(179, 252)(180, 251)(181, 256)(182, 257)(183, 249)(184, 254)(185, 274)(186, 275)(187, 276)(188, 273)(189, 278)(190, 279)(191, 280)(192, 277)(193, 266)(194, 267)(195, 268)(196, 265)(197, 270)(198, 271)(199, 272)(200, 269)(201, 290)(202, 291)(203, 292)(204, 289)(205, 294)(206, 295)(207, 296)(208, 293)(209, 282)(210, 283)(211, 284)(212, 281)(213, 286)(214, 287)(215, 288)(216, 285)(217, 306)(218, 307)(219, 308)(220, 305)(221, 310)(222, 311)(223, 312)(224, 309)(225, 298)(226, 299)(227, 300)(228, 297)(229, 302)(230, 303)(231, 304)(232, 301)(233, 317)(234, 320)(235, 319)(236, 318)(237, 315)(238, 314)(239, 313)(240, 316)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2120
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2129 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = QD16 x D10 (small group id <160, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^2 * Y1^2, Y1^4, R * Y1 * R * Y2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 25, 105, 185, 265)(13, 93, 173, 253, 26, 106, 186, 266)(14, 94, 174, 254, 27, 107, 187, 267)(15, 95, 175, 255, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269)(21, 101, 181, 261, 30, 110, 190, 270)(22, 102, 182, 262, 31, 111, 191, 271)(23, 103, 183, 263, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281)(34, 114, 194, 274, 42, 122, 202, 282)(35, 115, 195, 275, 43, 123, 203, 283)(36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285)(38, 118, 198, 278, 46, 126, 206, 286)(39, 119, 199, 279, 47, 127, 207, 287)(40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297)(50, 130, 210, 290, 58, 138, 218, 298)(51, 131, 211, 291, 59, 139, 219, 299)(52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 90)(4, 92)(5, 81)(6, 88)(7, 85)(8, 83)(9, 100)(10, 86)(11, 101)(12, 98)(13, 99)(14, 84)(15, 104)(16, 102)(17, 103)(18, 94)(19, 95)(20, 96)(21, 97)(22, 89)(23, 91)(24, 93)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 107)(34, 108)(35, 105)(36, 106)(37, 111)(38, 112)(39, 109)(40, 110)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 123)(50, 124)(51, 121)(52, 122)(53, 127)(54, 128)(55, 125)(56, 126)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 139)(66, 140)(67, 137)(68, 138)(69, 143)(70, 144)(71, 141)(72, 142)(73, 160)(74, 159)(75, 158)(76, 157)(77, 154)(78, 153)(79, 156)(80, 155)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 262)(172, 264)(173, 258)(174, 259)(175, 244)(176, 263)(177, 260)(178, 255)(179, 252)(180, 251)(181, 256)(182, 257)(183, 249)(184, 254)(185, 274)(186, 275)(187, 276)(188, 273)(189, 278)(190, 279)(191, 280)(192, 277)(193, 266)(194, 267)(195, 268)(196, 265)(197, 270)(198, 271)(199, 272)(200, 269)(201, 290)(202, 291)(203, 292)(204, 289)(205, 294)(206, 295)(207, 296)(208, 293)(209, 282)(210, 283)(211, 284)(212, 281)(213, 286)(214, 287)(215, 288)(216, 285)(217, 306)(218, 307)(219, 308)(220, 305)(221, 310)(222, 311)(223, 312)(224, 309)(225, 298)(226, 299)(227, 300)(228, 297)(229, 302)(230, 303)(231, 304)(232, 301)(233, 319)(234, 318)(235, 317)(236, 320)(237, 313)(238, 316)(239, 315)(240, 314)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2121
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|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, Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, 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^-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 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 11, 91)(13, 93, 17, 97)(14, 94, 18, 98)(15, 95, 19, 99)(16, 96, 20, 100)(21, 101, 25, 105)(22, 102, 26, 106)(23, 103, 27, 107)(24, 104, 28, 108)(29, 109, 33, 113)(30, 110, 34, 114)(31, 111, 40, 120)(32, 112, 35, 115)(36, 116, 54, 134)(37, 117, 53, 133)(38, 118, 55, 135)(39, 119, 56, 136)(41, 121, 57, 137)(42, 122, 58, 138)(43, 123, 59, 139)(44, 124, 60, 140)(45, 125, 61, 141)(46, 126, 62, 142)(47, 127, 63, 143)(48, 128, 64, 144)(49, 129, 65, 145)(50, 130, 66, 146)(51, 131, 67, 147)(52, 132, 68, 148)(69, 149, 73, 153)(70, 150, 74, 154)(71, 151, 76, 156)(72, 152, 75, 155)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243, 168, 248, 164, 244)(162, 242, 165, 245, 171, 251, 166, 246)(167, 247, 173, 253, 169, 249, 174, 254)(170, 250, 175, 255, 172, 252, 176, 256)(177, 257, 181, 261, 178, 258, 182, 262)(179, 259, 183, 263, 180, 260, 184, 264)(185, 265, 189, 269, 186, 266, 190, 270)(187, 267, 191, 271, 188, 268, 192, 272)(193, 273, 213, 293, 194, 274, 214, 294)(195, 275, 215, 295, 200, 280, 216, 296)(196, 276, 217, 297, 197, 277, 218, 298)(198, 278, 219, 299, 199, 279, 220, 300)(201, 281, 221, 301, 202, 282, 222, 302)(203, 283, 223, 303, 204, 284, 224, 304)(205, 285, 225, 305, 206, 286, 226, 306)(207, 287, 227, 307, 208, 288, 228, 308)(209, 289, 229, 309, 210, 290, 230, 310)(211, 291, 231, 311, 212, 292, 232, 312)(233, 313, 239, 319, 234, 314, 240, 320)(235, 315, 238, 318, 236, 316, 237, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (C2 x D40) : C2 (small group id <160, 129>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^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^-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, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 10, 90)(6, 86, 11, 91)(8, 88, 12, 92)(13, 93, 17, 97)(14, 94, 18, 98)(15, 95, 19, 99)(16, 96, 20, 100)(21, 101, 25, 105)(22, 102, 26, 106)(23, 103, 27, 107)(24, 104, 28, 108)(29, 109, 33, 113)(30, 110, 34, 114)(31, 111, 53, 133)(32, 112, 55, 135)(35, 115, 57, 137)(36, 116, 59, 139)(37, 117, 61, 141)(38, 118, 64, 144)(39, 119, 66, 146)(40, 120, 68, 148)(41, 121, 62, 142)(42, 122, 71, 151)(43, 123, 73, 153)(44, 124, 75, 155)(45, 125, 77, 157)(46, 126, 79, 159)(47, 127, 78, 158)(48, 128, 80, 160)(49, 129, 74, 154)(50, 130, 76, 156)(51, 131, 72, 152)(52, 132, 69, 149)(54, 134, 67, 147)(56, 136, 63, 143)(58, 138, 70, 150)(60, 140, 65, 145)(161, 241, 163, 243, 164, 244, 165, 245)(162, 242, 166, 246, 167, 247, 168, 248)(169, 249, 173, 253, 170, 250, 174, 254)(171, 251, 175, 255, 172, 252, 176, 256)(177, 257, 181, 261, 178, 258, 182, 262)(179, 259, 183, 263, 180, 260, 184, 264)(185, 265, 189, 269, 186, 266, 190, 270)(187, 267, 191, 271, 188, 268, 192, 272)(193, 273, 201, 281, 194, 274, 196, 276)(195, 275, 213, 293, 198, 278, 215, 295)(197, 277, 222, 302, 199, 279, 219, 299)(200, 280, 224, 304, 202, 282, 217, 297)(203, 283, 226, 306, 204, 284, 221, 301)(205, 285, 231, 311, 206, 286, 228, 308)(207, 287, 235, 315, 208, 288, 233, 313)(209, 289, 239, 319, 210, 290, 237, 317)(211, 291, 240, 320, 212, 292, 238, 318)(214, 294, 236, 316, 216, 296, 234, 314)(218, 298, 227, 307, 225, 305, 223, 303)(220, 300, 232, 312, 230, 310, 229, 309)
	L = (1, 164)(2, 167)(3, 165)(4, 161)(5, 163)(6, 168)(7, 162)(8, 166)(9, 170)(10, 169)(11, 172)(12, 171)(13, 174)(14, 173)(15, 176)(16, 175)(17, 178)(18, 177)(19, 180)(20, 179)(21, 182)(22, 181)(23, 184)(24, 183)(25, 186)(26, 185)(27, 188)(28, 187)(29, 190)(30, 189)(31, 192)(32, 191)(33, 194)(34, 193)(35, 198)(36, 201)(37, 199)(38, 195)(39, 197)(40, 202)(41, 196)(42, 200)(43, 204)(44, 203)(45, 206)(46, 205)(47, 208)(48, 207)(49, 210)(50, 209)(51, 212)(52, 211)(53, 215)(54, 216)(55, 213)(56, 214)(57, 224)(58, 225)(59, 222)(60, 230)(61, 226)(62, 219)(63, 227)(64, 217)(65, 218)(66, 221)(67, 223)(68, 231)(69, 232)(70, 220)(71, 228)(72, 229)(73, 235)(74, 236)(75, 233)(76, 234)(77, 239)(78, 240)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, Y3^5, R * Y2^2 * R * Y2^-2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y1 * Y2^-1, R * Y2 * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 32, 112)(14, 94, 30, 110)(15, 95, 28, 108)(16, 96, 38, 118)(18, 98, 39, 119)(19, 99, 24, 104)(22, 102, 44, 124)(23, 103, 42, 122)(25, 105, 50, 130)(27, 107, 51, 131)(29, 109, 53, 133)(31, 111, 58, 138)(33, 113, 46, 126)(34, 114, 45, 125)(35, 115, 60, 140)(36, 116, 56, 136)(37, 117, 63, 143)(40, 120, 64, 144)(41, 121, 59, 139)(43, 123, 54, 134)(47, 127, 68, 148)(48, 128, 66, 146)(49, 129, 71, 151)(52, 132, 72, 152)(55, 135, 73, 153)(57, 137, 77, 157)(61, 141, 70, 150)(62, 142, 69, 149)(65, 145, 78, 158)(67, 147, 74, 154)(75, 155, 80, 160)(76, 156, 79, 159)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 193, 273, 176, 256)(166, 246, 173, 253, 194, 274, 178, 258)(168, 248, 183, 263, 205, 285, 185, 265)(170, 250, 182, 262, 206, 286, 187, 267)(171, 251, 189, 269, 177, 257, 191, 271)(175, 255, 196, 276, 221, 301, 197, 277)(179, 259, 195, 275, 222, 302, 200, 280)(180, 260, 201, 281, 186, 266, 203, 283)(184, 264, 208, 288, 229, 309, 209, 289)(188, 268, 207, 287, 230, 310, 212, 292)(190, 270, 215, 295, 198, 278, 217, 297)(192, 272, 214, 294, 199, 279, 219, 299)(202, 282, 225, 305, 210, 290, 227, 307)(204, 284, 218, 298, 211, 291, 213, 293)(216, 296, 235, 315, 223, 303, 236, 316)(220, 300, 234, 314, 224, 304, 238, 318)(226, 306, 239, 319, 231, 311, 240, 320)(228, 308, 237, 317, 232, 312, 233, 313)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 190)(12, 193)(13, 195)(14, 163)(15, 179)(16, 165)(17, 198)(18, 200)(19, 166)(20, 202)(21, 205)(22, 207)(23, 167)(24, 188)(25, 169)(26, 210)(27, 212)(28, 170)(29, 214)(30, 216)(31, 219)(32, 171)(33, 221)(34, 172)(35, 196)(36, 174)(37, 176)(38, 223)(39, 177)(40, 197)(41, 218)(42, 226)(43, 213)(44, 180)(45, 229)(46, 181)(47, 208)(48, 183)(49, 185)(50, 231)(51, 186)(52, 209)(53, 233)(54, 234)(55, 189)(56, 220)(57, 191)(58, 237)(59, 238)(60, 192)(61, 222)(62, 194)(63, 224)(64, 199)(65, 201)(66, 228)(67, 203)(68, 204)(69, 230)(70, 206)(71, 232)(72, 211)(73, 240)(74, 235)(75, 215)(76, 217)(77, 239)(78, 236)(79, 225)(80, 227)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C40 : C2 (small group id <80, 6>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2, Y2^-2 * Y3^-5, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * R * Y2 * Y1 * Y2^-1 * R ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 32, 112)(14, 94, 30, 110)(15, 95, 28, 108)(16, 96, 39, 119)(18, 98, 40, 120)(19, 99, 24, 104)(22, 102, 46, 126)(23, 103, 44, 124)(25, 105, 53, 133)(27, 107, 54, 134)(29, 109, 57, 137)(31, 111, 62, 142)(33, 113, 48, 128)(34, 114, 47, 127)(35, 115, 64, 144)(36, 116, 60, 140)(37, 117, 56, 136)(38, 118, 65, 145)(41, 121, 66, 146)(42, 122, 51, 131)(43, 123, 58, 138)(45, 125, 63, 143)(49, 129, 70, 150)(50, 130, 68, 148)(52, 132, 71, 151)(55, 135, 72, 152)(59, 139, 73, 153)(61, 141, 77, 157)(67, 147, 74, 154)(69, 149, 78, 158)(75, 155, 80, 160)(76, 156, 79, 159)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 193, 273, 176, 256)(166, 246, 173, 253, 194, 274, 178, 258)(168, 248, 183, 263, 207, 287, 185, 265)(170, 250, 182, 262, 208, 288, 187, 267)(171, 251, 189, 269, 177, 257, 191, 271)(175, 255, 196, 276, 202, 282, 198, 278)(179, 259, 195, 275, 197, 277, 201, 281)(180, 260, 203, 283, 186, 266, 205, 285)(184, 264, 210, 290, 216, 296, 212, 292)(188, 268, 209, 289, 211, 291, 215, 295)(190, 270, 219, 299, 199, 279, 221, 301)(192, 272, 218, 298, 200, 280, 223, 303)(204, 284, 227, 307, 213, 293, 229, 309)(206, 286, 217, 297, 214, 294, 222, 302)(220, 300, 235, 315, 225, 305, 236, 316)(224, 304, 234, 314, 226, 306, 238, 318)(228, 308, 239, 319, 231, 311, 240, 320)(230, 310, 233, 313, 232, 312, 237, 317)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 190)(12, 193)(13, 195)(14, 163)(15, 197)(16, 165)(17, 199)(18, 201)(19, 166)(20, 204)(21, 207)(22, 209)(23, 167)(24, 211)(25, 169)(26, 213)(27, 215)(28, 170)(29, 218)(30, 220)(31, 223)(32, 171)(33, 202)(34, 172)(35, 198)(36, 174)(37, 194)(38, 176)(39, 225)(40, 177)(41, 196)(42, 179)(43, 217)(44, 228)(45, 222)(46, 180)(47, 216)(48, 181)(49, 212)(50, 183)(51, 208)(52, 185)(53, 231)(54, 186)(55, 210)(56, 188)(57, 233)(58, 234)(59, 189)(60, 226)(61, 191)(62, 237)(63, 238)(64, 192)(65, 224)(66, 200)(67, 203)(68, 232)(69, 205)(70, 206)(71, 230)(72, 214)(73, 240)(74, 236)(75, 219)(76, 221)(77, 239)(78, 235)(79, 227)(80, 229)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2134 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, Y1^4, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 82, 2, 85, 5, 84, 4, 81)(3, 87, 7, 90, 10, 88, 8, 83)(6, 91, 11, 89, 9, 92, 12, 86)(13, 97, 17, 94, 14, 98, 18, 93)(15, 99, 19, 96, 16, 100, 20, 95)(21, 105, 25, 102, 22, 106, 26, 101)(23, 107, 27, 104, 24, 108, 28, 103)(29, 113, 33, 110, 30, 114, 34, 109)(31, 137, 57, 112, 32, 139, 59, 111)(35, 141, 61, 119, 39, 144, 64, 115)(36, 145, 65, 118, 38, 148, 68, 116)(37, 149, 69, 124, 44, 151, 71, 117)(40, 150, 70, 123, 43, 156, 76, 120)(41, 154, 74, 122, 42, 142, 62, 121)(45, 152, 72, 126, 46, 146, 66, 125)(47, 143, 63, 128, 48, 155, 75, 127)(49, 147, 67, 130, 50, 153, 73, 129)(51, 157, 77, 132, 52, 158, 78, 131)(53, 159, 79, 134, 54, 160, 80, 133)(55, 138, 58, 136, 56, 140, 60, 135)
	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, 45)(34, 46)(35, 62)(36, 66)(37, 68)(38, 72)(39, 74)(40, 61)(41, 59)(42, 57)(43, 64)(44, 65)(47, 69)(48, 71)(49, 70)(50, 76)(51, 63)(52, 75)(53, 67)(54, 73)(55, 77)(56, 78)(58, 79)(60, 80)(81, 83)(82, 86)(84, 89)(85, 90)(87, 93)(88, 94)(91, 95)(92, 96)(97, 101)(98, 102)(99, 103)(100, 104)(105, 109)(106, 110)(107, 111)(108, 112)(113, 125)(114, 126)(115, 142)(116, 146)(117, 148)(118, 152)(119, 154)(120, 141)(121, 139)(122, 137)(123, 144)(124, 145)(127, 149)(128, 151)(129, 150)(130, 156)(131, 143)(132, 155)(133, 147)(134, 153)(135, 157)(136, 158)(138, 159)(140, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2135 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 96, 16, 91, 11, 83)(4, 92, 12, 97, 17, 93, 13, 84)(7, 98, 18, 94, 14, 100, 20, 87)(8, 101, 21, 95, 15, 102, 22, 88)(10, 99, 19, 108, 28, 105, 25, 90)(23, 113, 33, 106, 26, 114, 34, 103)(24, 115, 35, 107, 27, 116, 36, 104)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 157, 77, 155, 75, 159, 79, 153)(74, 158, 78, 156, 76, 160, 80, 154)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 88)(83, 90)(85, 95)(86, 97)(87, 99)(89, 104)(91, 107)(92, 103)(93, 106)(94, 105)(96, 108)(98, 110)(100, 112)(101, 109)(102, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2136 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, Y1^4, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 96, 16, 91, 11, 83)(4, 92, 12, 97, 17, 93, 13, 84)(7, 98, 18, 94, 14, 100, 20, 87)(8, 101, 21, 95, 15, 102, 22, 88)(10, 99, 19, 108, 28, 105, 25, 90)(23, 113, 33, 106, 26, 114, 34, 103)(24, 115, 35, 107, 27, 116, 36, 104)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 160, 80, 155, 75, 158, 78, 153)(74, 159, 79, 156, 76, 157, 77, 154)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 88)(83, 90)(85, 95)(86, 97)(87, 99)(89, 104)(91, 107)(92, 103)(93, 106)(94, 105)(96, 108)(98, 110)(100, 112)(101, 109)(102, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2137 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 84, 4, 90, 10, 83)(7, 91, 11, 88, 8, 92, 12, 87)(13, 97, 17, 94, 14, 98, 18, 93)(15, 99, 19, 96, 16, 100, 20, 95)(21, 105, 25, 102, 22, 106, 26, 101)(23, 107, 27, 104, 24, 108, 28, 103)(29, 113, 33, 110, 30, 114, 34, 109)(31, 118, 38, 112, 32, 117, 37, 111)(35, 133, 53, 120, 40, 134, 54, 115)(36, 140, 60, 119, 39, 144, 64, 116)(41, 138, 58, 122, 42, 137, 57, 121)(43, 142, 62, 124, 44, 141, 61, 123)(45, 150, 70, 126, 46, 149, 69, 125)(47, 154, 74, 128, 48, 153, 73, 127)(49, 158, 78, 130, 50, 157, 77, 129)(51, 159, 79, 132, 52, 160, 80, 131)(55, 155, 75, 136, 56, 156, 76, 135)(59, 143, 63, 148, 68, 147, 67, 139)(65, 151, 71, 146, 66, 152, 72, 145)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 53)(34, 54)(35, 57)(36, 61)(37, 64)(38, 60)(39, 62)(40, 58)(41, 69)(42, 70)(43, 73)(44, 74)(45, 77)(46, 78)(47, 80)(48, 79)(49, 76)(50, 75)(51, 71)(52, 72)(55, 63)(56, 67)(59, 65)(66, 68)(81, 84)(82, 88)(83, 86)(85, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 104)(100, 103)(105, 110)(106, 109)(107, 112)(108, 111)(113, 134)(114, 133)(115, 138)(116, 142)(117, 140)(118, 144)(119, 141)(120, 137)(121, 150)(122, 149)(123, 154)(124, 153)(125, 158)(126, 157)(127, 159)(128, 160)(129, 155)(130, 156)(131, 152)(132, 151)(135, 147)(136, 143)(139, 146)(145, 148)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2138 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 96, 16, 91, 11, 83)(4, 92, 12, 97, 17, 93, 13, 84)(7, 98, 18, 94, 14, 100, 20, 87)(8, 101, 21, 95, 15, 102, 22, 88)(10, 99, 19, 108, 28, 105, 25, 90)(23, 113, 33, 106, 26, 114, 34, 103)(24, 115, 35, 107, 27, 116, 36, 104)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 158, 78, 155, 75, 160, 80, 153)(74, 157, 77, 156, 76, 159, 79, 154)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 88)(83, 90)(85, 95)(86, 97)(87, 99)(89, 104)(91, 107)(92, 103)(93, 106)(94, 105)(96, 108)(98, 110)(100, 112)(101, 109)(102, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2139 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 3, 83, 8, 88, 4, 84)(2, 82, 5, 85, 11, 91, 6, 86)(7, 87, 13, 93, 9, 89, 14, 94)(10, 90, 15, 95, 12, 92, 16, 96)(17, 97, 21, 101, 18, 98, 22, 102)(19, 99, 23, 103, 20, 100, 24, 104)(25, 105, 29, 109, 26, 106, 30, 110)(27, 107, 31, 111, 28, 108, 32, 112)(33, 113, 61, 141, 34, 114, 62, 142)(35, 115, 64, 144, 42, 122, 65, 145)(36, 116, 67, 147, 45, 125, 68, 148)(37, 117, 69, 149, 38, 118, 70, 150)(39, 119, 71, 151, 40, 120, 72, 152)(41, 121, 74, 154, 43, 123, 63, 143)(44, 124, 76, 156, 46, 126, 66, 146)(47, 127, 77, 157, 48, 128, 78, 158)(49, 129, 79, 159, 50, 130, 80, 160)(51, 131, 75, 155, 52, 132, 73, 153)(53, 133, 59, 139, 54, 134, 60, 140)(55, 135, 57, 137, 56, 136, 58, 138)(161, 162)(163, 167)(164, 169)(165, 170)(166, 172)(168, 171)(173, 177)(174, 178)(175, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 193)(190, 194)(191, 211)(192, 212)(195, 223)(196, 226)(197, 227)(198, 228)(199, 224)(200, 225)(201, 233)(202, 234)(203, 235)(204, 222)(205, 236)(206, 221)(207, 229)(208, 230)(209, 231)(210, 232)(213, 237)(214, 238)(215, 239)(216, 240)(217, 219)(218, 220)(241, 242)(243, 247)(244, 249)(245, 250)(246, 252)(248, 251)(253, 257)(254, 258)(255, 259)(256, 260)(261, 265)(262, 266)(263, 267)(264, 268)(269, 273)(270, 274)(271, 291)(272, 292)(275, 303)(276, 306)(277, 307)(278, 308)(279, 304)(280, 305)(281, 313)(282, 314)(283, 315)(284, 302)(285, 316)(286, 301)(287, 309)(288, 310)(289, 311)(290, 312)(293, 317)(294, 318)(295, 319)(296, 320)(297, 299)(298, 300)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2150
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2140 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 13, 93, 5, 85)(2, 82, 7, 87, 20, 100, 8, 88)(3, 83, 9, 89, 23, 103, 10, 90)(6, 86, 16, 96, 28, 108, 17, 97)(11, 91, 24, 104, 14, 94, 25, 105)(12, 92, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(19, 99, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 166)(164, 171)(165, 174)(167, 178)(168, 181)(169, 179)(170, 182)(172, 176)(173, 180)(175, 177)(183, 188)(184, 193)(185, 195)(186, 194)(187, 196)(189, 197)(190, 199)(191, 198)(192, 200)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 237)(234, 238)(235, 239)(236, 240)(241, 243)(242, 246)(244, 252)(245, 255)(247, 259)(248, 262)(249, 258)(250, 261)(251, 256)(253, 263)(254, 257)(260, 268)(264, 274)(265, 276)(266, 273)(267, 275)(269, 278)(270, 280)(271, 277)(272, 279)(281, 290)(282, 292)(283, 289)(284, 291)(285, 294)(286, 296)(287, 293)(288, 295)(297, 306)(298, 308)(299, 305)(300, 307)(301, 310)(302, 312)(303, 309)(304, 311)(313, 319)(314, 320)(315, 317)(316, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2151
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2141 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 13, 93, 5, 85)(2, 82, 7, 87, 20, 100, 8, 88)(3, 83, 9, 89, 23, 103, 10, 90)(6, 86, 16, 96, 28, 108, 17, 97)(11, 91, 24, 104, 14, 94, 25, 105)(12, 92, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(19, 99, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 166)(164, 171)(165, 174)(167, 178)(168, 181)(169, 179)(170, 182)(172, 176)(173, 180)(175, 177)(183, 188)(184, 193)(185, 195)(186, 194)(187, 196)(189, 197)(190, 199)(191, 198)(192, 200)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 240)(234, 239)(235, 238)(236, 237)(241, 243)(242, 246)(244, 252)(245, 255)(247, 259)(248, 262)(249, 258)(250, 261)(251, 256)(253, 263)(254, 257)(260, 268)(264, 274)(265, 276)(266, 273)(267, 275)(269, 278)(270, 280)(271, 277)(272, 279)(281, 290)(282, 292)(283, 289)(284, 291)(285, 294)(286, 296)(287, 293)(288, 295)(297, 306)(298, 308)(299, 305)(300, 307)(301, 310)(302, 312)(303, 309)(304, 311)(313, 318)(314, 317)(315, 320)(316, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2152
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2142 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y1 * Y2 * Y3^2, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * 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 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 6, 86, 5, 85)(2, 82, 7, 87, 3, 83, 8, 88)(9, 89, 13, 93, 10, 90, 14, 94)(11, 91, 15, 95, 12, 92, 16, 96)(17, 97, 21, 101, 18, 98, 22, 102)(19, 99, 23, 103, 20, 100, 24, 104)(25, 105, 29, 109, 26, 106, 30, 110)(27, 107, 31, 111, 28, 108, 32, 112)(33, 113, 57, 137, 34, 114, 59, 139)(35, 115, 63, 143, 40, 120, 65, 145)(36, 116, 68, 148, 37, 117, 70, 150)(38, 118, 67, 147, 39, 119, 66, 146)(41, 121, 62, 142, 42, 122, 61, 141)(43, 123, 69, 149, 44, 124, 71, 151)(45, 125, 64, 144, 46, 126, 76, 156)(47, 127, 73, 153, 48, 128, 72, 152)(49, 129, 74, 154, 50, 130, 75, 155)(51, 131, 77, 157, 52, 132, 78, 158)(53, 133, 79, 159, 54, 134, 80, 160)(55, 135, 58, 138, 56, 136, 60, 140)(161, 162)(163, 166)(164, 169)(165, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 193)(190, 194)(191, 207)(192, 208)(195, 221)(196, 226)(197, 227)(198, 232)(199, 233)(200, 222)(201, 219)(202, 217)(203, 223)(204, 225)(205, 228)(206, 230)(209, 229)(210, 231)(211, 224)(212, 236)(213, 234)(214, 235)(215, 237)(216, 238)(218, 239)(220, 240)(241, 243)(242, 246)(244, 250)(245, 249)(247, 252)(248, 251)(253, 258)(254, 257)(255, 260)(256, 259)(261, 266)(262, 265)(263, 268)(264, 267)(269, 274)(270, 273)(271, 288)(272, 287)(275, 302)(276, 307)(277, 306)(278, 313)(279, 312)(280, 301)(281, 297)(282, 299)(283, 305)(284, 303)(285, 310)(286, 308)(289, 311)(290, 309)(291, 316)(292, 304)(293, 315)(294, 314)(295, 318)(296, 317)(298, 320)(300, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2153
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2143 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 13, 93, 5, 85)(2, 82, 7, 87, 20, 100, 8, 88)(3, 83, 9, 89, 23, 103, 10, 90)(6, 86, 16, 96, 28, 108, 17, 97)(11, 91, 24, 104, 14, 94, 25, 105)(12, 92, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(19, 99, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 166)(164, 171)(165, 174)(167, 178)(168, 181)(169, 179)(170, 182)(172, 176)(173, 180)(175, 177)(183, 188)(184, 193)(185, 195)(186, 194)(187, 196)(189, 197)(190, 199)(191, 198)(192, 200)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 239)(234, 240)(235, 237)(236, 238)(241, 243)(242, 246)(244, 252)(245, 255)(247, 259)(248, 262)(249, 258)(250, 261)(251, 256)(253, 263)(254, 257)(260, 268)(264, 274)(265, 276)(266, 273)(267, 275)(269, 278)(270, 280)(271, 277)(272, 279)(281, 290)(282, 292)(283, 289)(284, 291)(285, 294)(286, 296)(287, 293)(288, 295)(297, 306)(298, 308)(299, 305)(300, 307)(301, 310)(302, 312)(303, 309)(304, 311)(313, 317)(314, 318)(315, 319)(316, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2154
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2144 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = ((C4 x C2) : C2) x D10 (small group id <160, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 25, 105)(13, 93, 26, 106)(14, 94, 27, 107)(15, 95, 28, 108)(20, 100, 29, 109)(21, 101, 30, 110)(22, 102, 31, 111)(23, 103, 32, 112)(33, 113, 41, 121)(34, 114, 42, 122)(35, 115, 43, 123)(36, 116, 44, 124)(37, 117, 45, 125)(38, 118, 46, 126)(39, 119, 47, 127)(40, 120, 48, 128)(49, 129, 57, 137)(50, 130, 58, 138)(51, 131, 59, 139)(52, 132, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 178, 174)(169, 180, 176, 182)(171, 181, 177, 183)(173, 179, 175, 184)(185, 193, 187, 195)(186, 194, 188, 196)(189, 197, 191, 199)(190, 198, 192, 200)(201, 209, 203, 211)(202, 210, 204, 212)(205, 213, 207, 215)(206, 214, 208, 216)(217, 225, 219, 227)(218, 226, 220, 228)(221, 229, 223, 231)(222, 230, 224, 232)(233, 237, 235, 239)(234, 238, 236, 240)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 258, 255)(249, 261, 256, 263)(251, 260, 257, 262)(252, 259, 254, 264)(265, 274, 267, 276)(266, 273, 268, 275)(269, 278, 271, 280)(270, 277, 272, 279)(281, 290, 283, 292)(282, 289, 284, 291)(285, 294, 287, 296)(286, 293, 288, 295)(297, 306, 299, 308)(298, 305, 300, 307)(301, 310, 303, 312)(302, 309, 304, 311)(313, 318, 315, 320)(314, 317, 316, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2155
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2145 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = ((C4 x C2) : C2) x D10 (small group id <160, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1)^2, Y2^2 * Y1^2, (Y2^-1 * Y1^-1)^2, Y1^4, Y2^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 25, 105)(13, 93, 26, 106)(14, 94, 27, 107)(15, 95, 28, 108)(20, 100, 29, 109)(21, 101, 30, 110)(22, 102, 31, 111)(23, 103, 32, 112)(33, 113, 41, 121)(34, 114, 42, 122)(35, 115, 43, 123)(36, 116, 44, 124)(37, 117, 45, 125)(38, 118, 46, 126)(39, 119, 47, 127)(40, 120, 48, 128)(49, 129, 57, 137)(50, 130, 58, 138)(51, 131, 59, 139)(52, 132, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 178, 174)(169, 180, 176, 182)(171, 181, 177, 183)(173, 179, 175, 184)(185, 193, 187, 195)(186, 194, 188, 196)(189, 197, 191, 199)(190, 198, 192, 200)(201, 209, 203, 211)(202, 210, 204, 212)(205, 213, 207, 215)(206, 214, 208, 216)(217, 225, 219, 227)(218, 226, 220, 228)(221, 229, 223, 231)(222, 230, 224, 232)(233, 240, 235, 238)(234, 239, 236, 237)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 258, 255)(249, 261, 256, 263)(251, 260, 257, 262)(252, 259, 254, 264)(265, 274, 267, 276)(266, 273, 268, 275)(269, 278, 271, 280)(270, 277, 272, 279)(281, 290, 283, 292)(282, 289, 284, 291)(285, 294, 287, 296)(286, 293, 288, 295)(297, 306, 299, 308)(298, 305, 300, 307)(301, 310, 303, 312)(302, 309, 304, 311)(313, 319, 315, 317)(314, 320, 316, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2156
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2146 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-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 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83)(2, 82, 6, 86)(4, 84, 9, 89)(5, 85, 10, 90)(7, 87, 13, 93)(8, 88, 14, 94)(11, 91, 15, 95)(12, 92, 16, 96)(17, 97, 21, 101)(18, 98, 22, 102)(19, 99, 23, 103)(20, 100, 24, 104)(25, 105, 29, 109)(26, 106, 30, 110)(27, 107, 31, 111)(28, 108, 32, 112)(33, 113, 53, 133)(34, 114, 54, 134)(35, 115, 55, 135)(36, 116, 56, 136)(37, 117, 57, 137)(38, 118, 58, 138)(39, 119, 59, 139)(40, 120, 60, 140)(41, 121, 61, 141)(42, 122, 62, 142)(43, 123, 63, 143)(44, 124, 64, 144)(45, 125, 65, 145)(46, 126, 66, 146)(47, 127, 67, 147)(48, 128, 68, 148)(49, 129, 69, 149)(50, 130, 70, 150)(51, 131, 71, 151)(52, 132, 72, 152)(73, 153, 79, 159)(74, 154, 80, 160)(75, 155, 77, 157)(76, 156, 78, 158)(161, 162, 165, 164)(163, 167, 170, 168)(166, 171, 169, 172)(173, 177, 174, 178)(175, 179, 176, 180)(181, 185, 182, 186)(183, 187, 184, 188)(189, 193, 190, 194)(191, 197, 192, 195)(196, 213, 200, 214)(198, 217, 199, 215)(201, 220, 202, 216)(203, 219, 204, 218)(205, 222, 206, 221)(207, 224, 208, 223)(209, 226, 210, 225)(211, 228, 212, 227)(229, 233, 230, 234)(231, 236, 232, 235)(237, 239, 238, 240)(241, 242, 245, 244)(243, 247, 250, 248)(246, 251, 249, 252)(253, 257, 254, 258)(255, 259, 256, 260)(261, 265, 262, 266)(263, 267, 264, 268)(269, 273, 270, 274)(271, 277, 272, 275)(276, 293, 280, 294)(278, 297, 279, 295)(281, 300, 282, 296)(283, 299, 284, 298)(285, 302, 286, 301)(287, 304, 288, 303)(289, 306, 290, 305)(291, 308, 292, 307)(309, 313, 310, 314)(311, 316, 312, 315)(317, 319, 318, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2157
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2147 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = C2 x ((C20 x C2) : C2) (small group id <160, 148>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 7, 87)(5, 85, 10, 90)(8, 88, 13, 93)(9, 89, 14, 94)(11, 91, 15, 95)(12, 92, 16, 96)(17, 97, 21, 101)(18, 98, 22, 102)(19, 99, 23, 103)(20, 100, 24, 104)(25, 105, 29, 109)(26, 106, 30, 110)(27, 107, 31, 111)(28, 108, 32, 112)(33, 113, 57, 137)(34, 114, 59, 139)(35, 115, 63, 143)(36, 116, 67, 147)(37, 117, 69, 149)(38, 118, 66, 146)(39, 119, 74, 154)(40, 120, 61, 141)(41, 121, 62, 142)(42, 122, 68, 148)(43, 123, 70, 150)(44, 124, 65, 145)(45, 125, 75, 155)(46, 126, 64, 144)(47, 127, 71, 151)(48, 128, 72, 152)(49, 129, 78, 158)(50, 130, 73, 153)(51, 131, 77, 157)(52, 132, 76, 156)(53, 133, 80, 160)(54, 134, 79, 159)(55, 135, 58, 138)(56, 136, 60, 140)(161, 162, 165, 163)(164, 168, 170, 169)(166, 171, 167, 172)(173, 177, 174, 178)(175, 179, 176, 180)(181, 185, 182, 186)(183, 187, 184, 188)(189, 193, 190, 194)(191, 207, 192, 208)(195, 221, 199, 222)(196, 225, 197, 226)(198, 231, 204, 232)(200, 219, 201, 217)(202, 234, 203, 223)(205, 229, 206, 227)(209, 230, 210, 228)(211, 224, 212, 235)(213, 233, 214, 238)(215, 236, 216, 237)(218, 239, 220, 240)(241, 243, 245, 242)(244, 249, 250, 248)(246, 252, 247, 251)(253, 258, 254, 257)(255, 260, 256, 259)(261, 266, 262, 265)(263, 268, 264, 267)(269, 274, 270, 273)(271, 288, 272, 287)(275, 302, 279, 301)(276, 306, 277, 305)(278, 312, 284, 311)(280, 297, 281, 299)(282, 303, 283, 314)(285, 307, 286, 309)(289, 308, 290, 310)(291, 315, 292, 304)(293, 318, 294, 313)(295, 317, 296, 316)(298, 320, 300, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2158
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2148 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y2^-1 * Y1)^2, Y1^4, (R * Y3)^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 25, 105)(13, 93, 26, 106)(14, 94, 27, 107)(15, 95, 28, 108)(20, 100, 29, 109)(21, 101, 30, 110)(22, 102, 31, 111)(23, 103, 32, 112)(33, 113, 41, 121)(34, 114, 42, 122)(35, 115, 43, 123)(36, 116, 44, 124)(37, 117, 45, 125)(38, 118, 46, 126)(39, 119, 47, 127)(40, 120, 48, 128)(49, 129, 57, 137)(50, 130, 58, 138)(51, 131, 59, 139)(52, 132, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 178, 174)(169, 180, 176, 182)(171, 181, 177, 183)(173, 179, 175, 184)(185, 193, 187, 195)(186, 194, 188, 196)(189, 197, 191, 199)(190, 198, 192, 200)(201, 209, 203, 211)(202, 210, 204, 212)(205, 213, 207, 215)(206, 214, 208, 216)(217, 225, 219, 227)(218, 226, 220, 228)(221, 229, 223, 231)(222, 230, 224, 232)(233, 239, 235, 237)(234, 240, 236, 238)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 258, 255)(249, 261, 256, 263)(251, 260, 257, 262)(252, 259, 254, 264)(265, 274, 267, 276)(266, 273, 268, 275)(269, 278, 271, 280)(270, 277, 272, 279)(281, 290, 283, 292)(282, 289, 284, 291)(285, 294, 287, 296)(286, 293, 288, 295)(297, 306, 299, 308)(298, 305, 300, 307)(301, 310, 303, 312)(302, 309, 304, 311)(313, 320, 315, 318)(314, 319, 316, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2159
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2149 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2^-1)^2, Y2^4, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, Y1^4, R * Y1 * R * Y2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 25, 105)(13, 93, 26, 106)(14, 94, 27, 107)(15, 95, 28, 108)(20, 100, 29, 109)(21, 101, 30, 110)(22, 102, 31, 111)(23, 103, 32, 112)(33, 113, 41, 121)(34, 114, 42, 122)(35, 115, 43, 123)(36, 116, 44, 124)(37, 117, 45, 125)(38, 118, 46, 126)(39, 119, 47, 127)(40, 120, 48, 128)(49, 129, 57, 137)(50, 130, 58, 138)(51, 131, 59, 139)(52, 132, 60, 140)(53, 133, 61, 141)(54, 134, 62, 142)(55, 135, 63, 143)(56, 136, 64, 144)(65, 145, 73, 153)(66, 146, 74, 154)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(71, 151, 79, 159)(72, 152, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 178, 174)(169, 180, 176, 182)(171, 181, 177, 183)(173, 179, 175, 184)(185, 193, 187, 195)(186, 194, 188, 196)(189, 197, 191, 199)(190, 198, 192, 200)(201, 209, 203, 211)(202, 210, 204, 212)(205, 213, 207, 215)(206, 214, 208, 216)(217, 225, 219, 227)(218, 226, 220, 228)(221, 229, 223, 231)(222, 230, 224, 232)(233, 238, 235, 240)(234, 237, 236, 239)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 258, 255)(249, 261, 256, 263)(251, 260, 257, 262)(252, 259, 254, 264)(265, 274, 267, 276)(266, 273, 268, 275)(269, 278, 271, 280)(270, 277, 272, 279)(281, 290, 283, 292)(282, 289, 284, 291)(285, 294, 287, 296)(286, 293, 288, 295)(297, 306, 299, 308)(298, 305, 300, 307)(301, 310, 303, 312)(302, 309, 304, 311)(313, 317, 315, 319)(314, 318, 316, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2160
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2150 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 3, 83, 163, 243, 8, 88, 168, 248, 4, 84, 164, 244)(2, 82, 162, 242, 5, 85, 165, 245, 11, 91, 171, 251, 6, 86, 166, 246)(7, 87, 167, 247, 13, 93, 173, 253, 9, 89, 169, 249, 14, 94, 174, 254)(10, 90, 170, 250, 15, 95, 175, 255, 12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261, 18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263, 20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269, 26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271, 28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 38, 118, 198, 278, 34, 114, 194, 274, 35, 115, 195, 275)(36, 116, 196, 276, 51, 131, 211, 291, 41, 121, 201, 281, 52, 132, 212, 292)(37, 117, 197, 277, 58, 138, 218, 298, 39, 119, 199, 279, 55, 135, 215, 295)(40, 120, 200, 280, 61, 141, 221, 301, 42, 122, 202, 282, 56, 136, 216, 296)(43, 123, 203, 283, 59, 139, 219, 299, 44, 124, 204, 284, 57, 137, 217, 297)(45, 125, 205, 285, 62, 142, 222, 302, 46, 126, 206, 286, 60, 140, 220, 300)(47, 127, 207, 287, 64, 144, 224, 304, 48, 128, 208, 288, 63, 143, 223, 303)(49, 129, 209, 289, 66, 146, 226, 306, 50, 130, 210, 290, 65, 145, 225, 305)(53, 133, 213, 293, 68, 148, 228, 308, 54, 134, 214, 294, 67, 147, 227, 307)(69, 149, 229, 309, 71, 151, 231, 311, 70, 150, 230, 310, 72, 152, 232, 312)(73, 153, 233, 313, 76, 156, 236, 316, 74, 154, 234, 314, 75, 155, 235, 315)(77, 157, 237, 317, 79, 159, 239, 319, 78, 158, 238, 318, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 90)(6, 92)(7, 83)(8, 91)(9, 84)(10, 85)(11, 88)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 93)(18, 94)(19, 95)(20, 96)(21, 105)(22, 106)(23, 107)(24, 108)(25, 101)(26, 102)(27, 103)(28, 104)(29, 113)(30, 114)(31, 131)(32, 132)(33, 109)(34, 110)(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, 111)(52, 112)(53, 153)(54, 154)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(61, 121)(62, 122)(63, 123)(64, 124)(65, 125)(66, 126)(67, 127)(68, 128)(69, 129)(70, 130)(71, 159)(72, 160)(73, 133)(74, 134)(75, 157)(76, 158)(77, 155)(78, 156)(79, 151)(80, 152)(161, 242)(162, 241)(163, 247)(164, 249)(165, 250)(166, 252)(167, 243)(168, 251)(169, 244)(170, 245)(171, 248)(172, 246)(173, 257)(174, 258)(175, 259)(176, 260)(177, 253)(178, 254)(179, 255)(180, 256)(181, 265)(182, 266)(183, 267)(184, 268)(185, 261)(186, 262)(187, 263)(188, 264)(189, 273)(190, 274)(191, 291)(192, 292)(193, 269)(194, 270)(195, 295)(196, 296)(197, 297)(198, 298)(199, 299)(200, 300)(201, 301)(202, 302)(203, 303)(204, 304)(205, 305)(206, 306)(207, 307)(208, 308)(209, 309)(210, 310)(211, 271)(212, 272)(213, 313)(214, 314)(215, 275)(216, 276)(217, 277)(218, 278)(219, 279)(220, 280)(221, 281)(222, 282)(223, 283)(224, 284)(225, 285)(226, 286)(227, 287)(228, 288)(229, 289)(230, 290)(231, 319)(232, 320)(233, 293)(234, 294)(235, 317)(236, 318)(237, 315)(238, 316)(239, 311)(240, 312)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2139
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2151 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 13, 93, 173, 253, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 20, 100, 180, 260, 8, 88, 168, 248)(3, 83, 163, 243, 9, 89, 169, 249, 23, 103, 183, 263, 10, 90, 170, 250)(6, 86, 166, 246, 16, 96, 176, 256, 28, 108, 188, 268, 17, 97, 177, 257)(11, 91, 171, 251, 24, 104, 184, 264, 14, 94, 174, 254, 25, 105, 185, 265)(12, 92, 172, 252, 26, 106, 186, 266, 15, 95, 175, 255, 27, 107, 187, 267)(18, 98, 178, 258, 29, 109, 189, 269, 21, 101, 181, 261, 30, 110, 190, 270)(19, 99, 179, 259, 31, 111, 191, 271, 22, 102, 182, 262, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 86)(4, 91)(5, 94)(6, 83)(7, 98)(8, 101)(9, 99)(10, 102)(11, 84)(12, 96)(13, 100)(14, 85)(15, 97)(16, 92)(17, 95)(18, 87)(19, 89)(20, 93)(21, 88)(22, 90)(23, 108)(24, 113)(25, 115)(26, 114)(27, 116)(28, 103)(29, 117)(30, 119)(31, 118)(32, 120)(33, 104)(34, 106)(35, 105)(36, 107)(37, 109)(38, 111)(39, 110)(40, 112)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 157)(74, 158)(75, 159)(76, 160)(77, 153)(78, 154)(79, 155)(80, 156)(161, 243)(162, 246)(163, 241)(164, 252)(165, 255)(166, 242)(167, 259)(168, 262)(169, 258)(170, 261)(171, 256)(172, 244)(173, 263)(174, 257)(175, 245)(176, 251)(177, 254)(178, 249)(179, 247)(180, 268)(181, 250)(182, 248)(183, 253)(184, 274)(185, 276)(186, 273)(187, 275)(188, 260)(189, 278)(190, 280)(191, 277)(192, 279)(193, 266)(194, 264)(195, 267)(196, 265)(197, 271)(198, 269)(199, 272)(200, 270)(201, 290)(202, 292)(203, 289)(204, 291)(205, 294)(206, 296)(207, 293)(208, 295)(209, 283)(210, 281)(211, 284)(212, 282)(213, 287)(214, 285)(215, 288)(216, 286)(217, 306)(218, 308)(219, 305)(220, 307)(221, 310)(222, 312)(223, 309)(224, 311)(225, 299)(226, 297)(227, 300)(228, 298)(229, 303)(230, 301)(231, 304)(232, 302)(233, 319)(234, 320)(235, 317)(236, 318)(237, 315)(238, 316)(239, 313)(240, 314)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2140
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2152 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C4 x D10) : C2 (small group id <160, 105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 13, 93, 173, 253, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 20, 100, 180, 260, 8, 88, 168, 248)(3, 83, 163, 243, 9, 89, 169, 249, 23, 103, 183, 263, 10, 90, 170, 250)(6, 86, 166, 246, 16, 96, 176, 256, 28, 108, 188, 268, 17, 97, 177, 257)(11, 91, 171, 251, 24, 104, 184, 264, 14, 94, 174, 254, 25, 105, 185, 265)(12, 92, 172, 252, 26, 106, 186, 266, 15, 95, 175, 255, 27, 107, 187, 267)(18, 98, 178, 258, 29, 109, 189, 269, 21, 101, 181, 261, 30, 110, 190, 270)(19, 99, 179, 259, 31, 111, 191, 271, 22, 102, 182, 262, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 86)(4, 91)(5, 94)(6, 83)(7, 98)(8, 101)(9, 99)(10, 102)(11, 84)(12, 96)(13, 100)(14, 85)(15, 97)(16, 92)(17, 95)(18, 87)(19, 89)(20, 93)(21, 88)(22, 90)(23, 108)(24, 113)(25, 115)(26, 114)(27, 116)(28, 103)(29, 117)(30, 119)(31, 118)(32, 120)(33, 104)(34, 106)(35, 105)(36, 107)(37, 109)(38, 111)(39, 110)(40, 112)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 160)(74, 159)(75, 158)(76, 157)(77, 156)(78, 155)(79, 154)(80, 153)(161, 243)(162, 246)(163, 241)(164, 252)(165, 255)(166, 242)(167, 259)(168, 262)(169, 258)(170, 261)(171, 256)(172, 244)(173, 263)(174, 257)(175, 245)(176, 251)(177, 254)(178, 249)(179, 247)(180, 268)(181, 250)(182, 248)(183, 253)(184, 274)(185, 276)(186, 273)(187, 275)(188, 260)(189, 278)(190, 280)(191, 277)(192, 279)(193, 266)(194, 264)(195, 267)(196, 265)(197, 271)(198, 269)(199, 272)(200, 270)(201, 290)(202, 292)(203, 289)(204, 291)(205, 294)(206, 296)(207, 293)(208, 295)(209, 283)(210, 281)(211, 284)(212, 282)(213, 287)(214, 285)(215, 288)(216, 286)(217, 306)(218, 308)(219, 305)(220, 307)(221, 310)(222, 312)(223, 309)(224, 311)(225, 299)(226, 297)(227, 300)(228, 298)(229, 303)(230, 301)(231, 304)(232, 302)(233, 318)(234, 317)(235, 320)(236, 319)(237, 314)(238, 313)(239, 316)(240, 315)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2141
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2153 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C20 x C2 x C2) : C2 (small group id <160, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y1 * Y2 * Y3^2, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y3)^2, R * Y1 * R * 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 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 6, 86, 166, 246, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 3, 83, 163, 243, 8, 88, 168, 248)(9, 89, 169, 249, 13, 93, 173, 253, 10, 90, 170, 250, 14, 94, 174, 254)(11, 91, 171, 251, 15, 95, 175, 255, 12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261, 18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263, 20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269, 26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271, 28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 57, 137, 217, 297, 34, 114, 194, 274, 59, 139, 219, 299)(35, 115, 195, 275, 63, 143, 223, 303, 40, 120, 200, 280, 65, 145, 225, 305)(36, 116, 196, 276, 68, 148, 228, 308, 37, 117, 197, 277, 70, 150, 230, 310)(38, 118, 198, 278, 67, 147, 227, 307, 39, 119, 199, 279, 66, 146, 226, 306)(41, 121, 201, 281, 62, 142, 222, 302, 42, 122, 202, 282, 61, 141, 221, 301)(43, 123, 203, 283, 71, 151, 231, 311, 44, 124, 204, 284, 69, 149, 229, 309)(45, 125, 205, 285, 76, 156, 236, 316, 46, 126, 206, 286, 64, 144, 224, 304)(47, 127, 207, 287, 73, 153, 233, 313, 48, 128, 208, 288, 72, 152, 232, 312)(49, 129, 209, 289, 75, 155, 235, 315, 50, 130, 210, 290, 74, 154, 234, 314)(51, 131, 211, 291, 78, 158, 238, 318, 52, 132, 212, 292, 77, 157, 237, 317)(53, 133, 213, 293, 80, 160, 240, 320, 54, 134, 214, 294, 79, 159, 239, 319)(55, 135, 215, 295, 58, 138, 218, 298, 56, 136, 216, 296, 60, 140, 220, 300)
	L = (1, 82)(2, 81)(3, 86)(4, 89)(5, 90)(6, 83)(7, 91)(8, 92)(9, 84)(10, 85)(11, 87)(12, 88)(13, 97)(14, 98)(15, 99)(16, 100)(17, 93)(18, 94)(19, 95)(20, 96)(21, 105)(22, 106)(23, 107)(24, 108)(25, 101)(26, 102)(27, 103)(28, 104)(29, 113)(30, 114)(31, 128)(32, 127)(33, 109)(34, 110)(35, 141)(36, 146)(37, 147)(38, 152)(39, 153)(40, 142)(41, 137)(42, 139)(43, 143)(44, 145)(45, 148)(46, 150)(47, 112)(48, 111)(49, 151)(50, 149)(51, 156)(52, 144)(53, 155)(54, 154)(55, 158)(56, 157)(57, 121)(58, 160)(59, 122)(60, 159)(61, 115)(62, 120)(63, 123)(64, 132)(65, 124)(66, 116)(67, 117)(68, 125)(69, 130)(70, 126)(71, 129)(72, 118)(73, 119)(74, 134)(75, 133)(76, 131)(77, 136)(78, 135)(79, 140)(80, 138)(161, 243)(162, 246)(163, 241)(164, 250)(165, 249)(166, 242)(167, 252)(168, 251)(169, 245)(170, 244)(171, 248)(172, 247)(173, 258)(174, 257)(175, 260)(176, 259)(177, 254)(178, 253)(179, 256)(180, 255)(181, 266)(182, 265)(183, 268)(184, 267)(185, 262)(186, 261)(187, 264)(188, 263)(189, 274)(190, 273)(191, 287)(192, 288)(193, 270)(194, 269)(195, 302)(196, 307)(197, 306)(198, 313)(199, 312)(200, 301)(201, 299)(202, 297)(203, 305)(204, 303)(205, 310)(206, 308)(207, 271)(208, 272)(209, 309)(210, 311)(211, 304)(212, 316)(213, 314)(214, 315)(215, 317)(216, 318)(217, 282)(218, 319)(219, 281)(220, 320)(221, 280)(222, 275)(223, 284)(224, 291)(225, 283)(226, 277)(227, 276)(228, 286)(229, 289)(230, 285)(231, 290)(232, 279)(233, 278)(234, 293)(235, 294)(236, 292)(237, 295)(238, 296)(239, 298)(240, 300)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2142
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2154 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 13, 93, 173, 253, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 20, 100, 180, 260, 8, 88, 168, 248)(3, 83, 163, 243, 9, 89, 169, 249, 23, 103, 183, 263, 10, 90, 170, 250)(6, 86, 166, 246, 16, 96, 176, 256, 28, 108, 188, 268, 17, 97, 177, 257)(11, 91, 171, 251, 24, 104, 184, 264, 14, 94, 174, 254, 25, 105, 185, 265)(12, 92, 172, 252, 26, 106, 186, 266, 15, 95, 175, 255, 27, 107, 187, 267)(18, 98, 178, 258, 29, 109, 189, 269, 21, 101, 181, 261, 30, 110, 190, 270)(19, 99, 179, 259, 31, 111, 191, 271, 22, 102, 182, 262, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 86)(4, 91)(5, 94)(6, 83)(7, 98)(8, 101)(9, 99)(10, 102)(11, 84)(12, 96)(13, 100)(14, 85)(15, 97)(16, 92)(17, 95)(18, 87)(19, 89)(20, 93)(21, 88)(22, 90)(23, 108)(24, 113)(25, 115)(26, 114)(27, 116)(28, 103)(29, 117)(30, 119)(31, 118)(32, 120)(33, 104)(34, 106)(35, 105)(36, 107)(37, 109)(38, 111)(39, 110)(40, 112)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 159)(74, 160)(75, 157)(76, 158)(77, 155)(78, 156)(79, 153)(80, 154)(161, 243)(162, 246)(163, 241)(164, 252)(165, 255)(166, 242)(167, 259)(168, 262)(169, 258)(170, 261)(171, 256)(172, 244)(173, 263)(174, 257)(175, 245)(176, 251)(177, 254)(178, 249)(179, 247)(180, 268)(181, 250)(182, 248)(183, 253)(184, 274)(185, 276)(186, 273)(187, 275)(188, 260)(189, 278)(190, 280)(191, 277)(192, 279)(193, 266)(194, 264)(195, 267)(196, 265)(197, 271)(198, 269)(199, 272)(200, 270)(201, 290)(202, 292)(203, 289)(204, 291)(205, 294)(206, 296)(207, 293)(208, 295)(209, 283)(210, 281)(211, 284)(212, 282)(213, 287)(214, 285)(215, 288)(216, 286)(217, 306)(218, 308)(219, 305)(220, 307)(221, 310)(222, 312)(223, 309)(224, 311)(225, 299)(226, 297)(227, 300)(228, 298)(229, 303)(230, 301)(231, 304)(232, 302)(233, 317)(234, 318)(235, 319)(236, 320)(237, 313)(238, 314)(239, 315)(240, 316)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2143
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2155 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = ((C4 x C2) : C2) x D10 (small group id <160, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 25, 105, 185, 265)(13, 93, 173, 253, 26, 106, 186, 266)(14, 94, 174, 254, 27, 107, 187, 267)(15, 95, 175, 255, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269)(21, 101, 181, 261, 30, 110, 190, 270)(22, 102, 182, 262, 31, 111, 191, 271)(23, 103, 183, 263, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281)(34, 114, 194, 274, 42, 122, 202, 282)(35, 115, 195, 275, 43, 123, 203, 283)(36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285)(38, 118, 198, 278, 46, 126, 206, 286)(39, 119, 199, 279, 47, 127, 207, 287)(40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297)(50, 130, 210, 290, 58, 138, 218, 298)(51, 131, 211, 291, 59, 139, 219, 299)(52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 101)(12, 98)(13, 99)(14, 84)(15, 104)(16, 102)(17, 103)(18, 94)(19, 95)(20, 96)(21, 97)(22, 89)(23, 91)(24, 93)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 107)(34, 108)(35, 105)(36, 106)(37, 111)(38, 112)(39, 109)(40, 110)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 123)(50, 124)(51, 121)(52, 122)(53, 127)(54, 128)(55, 125)(56, 126)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 139)(66, 140)(67, 137)(68, 138)(69, 143)(70, 144)(71, 141)(72, 142)(73, 157)(74, 158)(75, 159)(76, 160)(77, 155)(78, 156)(79, 153)(80, 154)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 260)(172, 259)(173, 258)(174, 264)(175, 244)(176, 263)(177, 262)(178, 255)(179, 254)(180, 257)(181, 256)(182, 251)(183, 249)(184, 252)(185, 274)(186, 273)(187, 276)(188, 275)(189, 278)(190, 277)(191, 280)(192, 279)(193, 268)(194, 267)(195, 266)(196, 265)(197, 272)(198, 271)(199, 270)(200, 269)(201, 290)(202, 289)(203, 292)(204, 291)(205, 294)(206, 293)(207, 296)(208, 295)(209, 284)(210, 283)(211, 282)(212, 281)(213, 288)(214, 287)(215, 286)(216, 285)(217, 306)(218, 305)(219, 308)(220, 307)(221, 310)(222, 309)(223, 312)(224, 311)(225, 300)(226, 299)(227, 298)(228, 297)(229, 304)(230, 303)(231, 302)(232, 301)(233, 318)(234, 317)(235, 320)(236, 319)(237, 316)(238, 315)(239, 314)(240, 313)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2144
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2156 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = ((C4 x C2) : C2) x D10 (small group id <160, 101>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1)^2, Y2^2 * Y1^2, (Y2^-1 * Y1^-1)^2, Y1^4, Y2^2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 25, 105, 185, 265)(13, 93, 173, 253, 26, 106, 186, 266)(14, 94, 174, 254, 27, 107, 187, 267)(15, 95, 175, 255, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269)(21, 101, 181, 261, 30, 110, 190, 270)(22, 102, 182, 262, 31, 111, 191, 271)(23, 103, 183, 263, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281)(34, 114, 194, 274, 42, 122, 202, 282)(35, 115, 195, 275, 43, 123, 203, 283)(36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285)(38, 118, 198, 278, 46, 126, 206, 286)(39, 119, 199, 279, 47, 127, 207, 287)(40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297)(50, 130, 210, 290, 58, 138, 218, 298)(51, 131, 211, 291, 59, 139, 219, 299)(52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 101)(12, 98)(13, 99)(14, 84)(15, 104)(16, 102)(17, 103)(18, 94)(19, 95)(20, 96)(21, 97)(22, 89)(23, 91)(24, 93)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 107)(34, 108)(35, 105)(36, 106)(37, 111)(38, 112)(39, 109)(40, 110)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 123)(50, 124)(51, 121)(52, 122)(53, 127)(54, 128)(55, 125)(56, 126)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 139)(66, 140)(67, 137)(68, 138)(69, 143)(70, 144)(71, 141)(72, 142)(73, 160)(74, 159)(75, 158)(76, 157)(77, 154)(78, 153)(79, 156)(80, 155)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 260)(172, 259)(173, 258)(174, 264)(175, 244)(176, 263)(177, 262)(178, 255)(179, 254)(180, 257)(181, 256)(182, 251)(183, 249)(184, 252)(185, 274)(186, 273)(187, 276)(188, 275)(189, 278)(190, 277)(191, 280)(192, 279)(193, 268)(194, 267)(195, 266)(196, 265)(197, 272)(198, 271)(199, 270)(200, 269)(201, 290)(202, 289)(203, 292)(204, 291)(205, 294)(206, 293)(207, 296)(208, 295)(209, 284)(210, 283)(211, 282)(212, 281)(213, 288)(214, 287)(215, 286)(216, 285)(217, 306)(218, 305)(219, 308)(220, 307)(221, 310)(222, 309)(223, 312)(224, 311)(225, 300)(226, 299)(227, 298)(228, 297)(229, 304)(230, 303)(231, 302)(232, 301)(233, 319)(234, 320)(235, 317)(236, 318)(237, 313)(238, 314)(239, 315)(240, 316)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2145
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2157 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-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 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 3, 83, 163, 243)(2, 82, 162, 242, 6, 86, 166, 246)(4, 84, 164, 244, 9, 89, 169, 249)(5, 85, 165, 245, 10, 90, 170, 250)(7, 87, 167, 247, 13, 93, 173, 253)(8, 88, 168, 248, 14, 94, 174, 254)(11, 91, 171, 251, 15, 95, 175, 255)(12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261)(18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263)(20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269)(26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271)(28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 57, 137, 217, 297)(34, 114, 194, 274, 58, 138, 218, 298)(35, 115, 195, 275, 68, 148, 228, 308)(36, 116, 196, 276, 70, 150, 230, 310)(37, 117, 197, 277, 71, 151, 231, 311)(38, 118, 198, 278, 72, 152, 232, 312)(39, 119, 199, 279, 73, 153, 233, 313)(40, 120, 200, 280, 74, 154, 234, 314)(41, 121, 201, 281, 67, 147, 227, 307)(42, 122, 202, 282, 69, 149, 229, 309)(43, 123, 203, 283, 75, 155, 235, 315)(44, 124, 204, 284, 76, 156, 236, 316)(45, 125, 205, 285, 66, 146, 226, 306)(46, 126, 206, 286, 65, 145, 225, 305)(47, 127, 207, 287, 77, 157, 237, 317)(48, 128, 208, 288, 78, 158, 238, 318)(49, 129, 209, 289, 79, 159, 239, 319)(50, 130, 210, 290, 80, 160, 240, 320)(51, 131, 211, 291, 62, 142, 222, 302)(52, 132, 212, 292, 61, 141, 221, 301)(53, 133, 213, 293, 59, 139, 219, 299)(54, 134, 214, 294, 60, 140, 220, 300)(55, 135, 215, 295, 64, 144, 224, 304)(56, 136, 216, 296, 63, 143, 223, 303)
	L = (1, 82)(2, 85)(3, 87)(4, 81)(5, 84)(6, 91)(7, 90)(8, 83)(9, 92)(10, 88)(11, 89)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 94)(18, 93)(19, 96)(20, 95)(21, 105)(22, 106)(23, 107)(24, 108)(25, 102)(26, 101)(27, 104)(28, 103)(29, 113)(30, 114)(31, 143)(32, 144)(33, 110)(34, 109)(35, 147)(36, 146)(37, 150)(38, 145)(39, 149)(40, 153)(41, 142)(42, 141)(43, 148)(44, 152)(45, 139)(46, 140)(47, 156)(48, 151)(49, 155)(50, 154)(51, 133)(52, 134)(53, 132)(54, 131)(55, 158)(56, 157)(57, 160)(58, 159)(59, 126)(60, 125)(61, 121)(62, 122)(63, 112)(64, 111)(65, 116)(66, 118)(67, 119)(68, 120)(69, 115)(70, 124)(71, 127)(72, 117)(73, 123)(74, 129)(75, 130)(76, 128)(77, 135)(78, 136)(79, 137)(80, 138)(161, 242)(162, 245)(163, 247)(164, 241)(165, 244)(166, 251)(167, 250)(168, 243)(169, 252)(170, 248)(171, 249)(172, 246)(173, 257)(174, 258)(175, 259)(176, 260)(177, 254)(178, 253)(179, 256)(180, 255)(181, 265)(182, 266)(183, 267)(184, 268)(185, 262)(186, 261)(187, 264)(188, 263)(189, 273)(190, 274)(191, 303)(192, 304)(193, 270)(194, 269)(195, 307)(196, 306)(197, 310)(198, 305)(199, 309)(200, 313)(201, 302)(202, 301)(203, 308)(204, 312)(205, 299)(206, 300)(207, 316)(208, 311)(209, 315)(210, 314)(211, 293)(212, 294)(213, 292)(214, 291)(215, 318)(216, 317)(217, 320)(218, 319)(219, 286)(220, 285)(221, 281)(222, 282)(223, 272)(224, 271)(225, 276)(226, 278)(227, 279)(228, 280)(229, 275)(230, 284)(231, 287)(232, 277)(233, 283)(234, 289)(235, 290)(236, 288)(237, 295)(238, 296)(239, 297)(240, 298)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2146
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2158 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = C2 x ((C20 x C2) : C2) (small group id <160, 148>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 7, 87, 167, 247)(5, 85, 165, 245, 10, 90, 170, 250)(8, 88, 168, 248, 13, 93, 173, 253)(9, 89, 169, 249, 14, 94, 174, 254)(11, 91, 171, 251, 15, 95, 175, 255)(12, 92, 172, 252, 16, 96, 176, 256)(17, 97, 177, 257, 21, 101, 181, 261)(18, 98, 178, 258, 22, 102, 182, 262)(19, 99, 179, 259, 23, 103, 183, 263)(20, 100, 180, 260, 24, 104, 184, 264)(25, 105, 185, 265, 29, 109, 189, 269)(26, 106, 186, 266, 30, 110, 190, 270)(27, 107, 187, 267, 31, 111, 191, 271)(28, 108, 188, 268, 32, 112, 192, 272)(33, 113, 193, 273, 53, 133, 213, 293)(34, 114, 194, 274, 54, 134, 214, 294)(35, 115, 195, 275, 55, 135, 215, 295)(36, 116, 196, 276, 56, 136, 216, 296)(37, 117, 197, 277, 57, 137, 217, 297)(38, 118, 198, 278, 58, 138, 218, 298)(39, 119, 199, 279, 59, 139, 219, 299)(40, 120, 200, 280, 60, 140, 220, 300)(41, 121, 201, 281, 61, 141, 221, 301)(42, 122, 202, 282, 62, 142, 222, 302)(43, 123, 203, 283, 63, 143, 223, 303)(44, 124, 204, 284, 64, 144, 224, 304)(45, 125, 205, 285, 65, 145, 225, 305)(46, 126, 206, 286, 66, 146, 226, 306)(47, 127, 207, 287, 67, 147, 227, 307)(48, 128, 208, 288, 68, 148, 228, 308)(49, 129, 209, 289, 69, 149, 229, 309)(50, 130, 210, 290, 70, 150, 230, 310)(51, 131, 211, 291, 71, 151, 231, 311)(52, 132, 212, 292, 72, 152, 232, 312)(73, 153, 233, 313, 80, 160, 240, 320)(74, 154, 234, 314, 79, 159, 239, 319)(75, 155, 235, 315, 77, 157, 237, 317)(76, 156, 236, 316, 78, 158, 238, 318)
	L = (1, 82)(2, 85)(3, 81)(4, 88)(5, 83)(6, 91)(7, 92)(8, 90)(9, 84)(10, 89)(11, 87)(12, 86)(13, 97)(14, 98)(15, 99)(16, 100)(17, 94)(18, 93)(19, 96)(20, 95)(21, 105)(22, 106)(23, 107)(24, 108)(25, 102)(26, 101)(27, 104)(28, 103)(29, 113)(30, 114)(31, 115)(32, 117)(33, 110)(34, 109)(35, 112)(36, 134)(37, 111)(38, 137)(39, 135)(40, 133)(41, 140)(42, 136)(43, 139)(44, 138)(45, 142)(46, 141)(47, 144)(48, 143)(49, 146)(50, 145)(51, 148)(52, 147)(53, 116)(54, 120)(55, 118)(56, 121)(57, 119)(58, 123)(59, 124)(60, 122)(61, 125)(62, 126)(63, 127)(64, 128)(65, 129)(66, 130)(67, 131)(68, 132)(69, 153)(70, 154)(71, 155)(72, 156)(73, 150)(74, 149)(75, 152)(76, 151)(77, 159)(78, 160)(79, 158)(80, 157)(161, 243)(162, 241)(163, 245)(164, 249)(165, 242)(166, 252)(167, 251)(168, 244)(169, 250)(170, 248)(171, 246)(172, 247)(173, 258)(174, 257)(175, 260)(176, 259)(177, 253)(178, 254)(179, 255)(180, 256)(181, 266)(182, 265)(183, 268)(184, 267)(185, 261)(186, 262)(187, 263)(188, 264)(189, 274)(190, 273)(191, 277)(192, 275)(193, 269)(194, 270)(195, 271)(196, 293)(197, 272)(198, 295)(199, 297)(200, 294)(201, 296)(202, 300)(203, 298)(204, 299)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 280)(214, 276)(215, 279)(216, 282)(217, 278)(218, 284)(219, 283)(220, 281)(221, 286)(222, 285)(223, 288)(224, 287)(225, 290)(226, 289)(227, 292)(228, 291)(229, 314)(230, 313)(231, 316)(232, 315)(233, 309)(234, 310)(235, 311)(236, 312)(237, 320)(238, 319)(239, 317)(240, 318)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2147
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2159 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y2^-1 * Y1)^2, Y1^4, (R * Y3)^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 25, 105, 185, 265)(13, 93, 173, 253, 26, 106, 186, 266)(14, 94, 174, 254, 27, 107, 187, 267)(15, 95, 175, 255, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269)(21, 101, 181, 261, 30, 110, 190, 270)(22, 102, 182, 262, 31, 111, 191, 271)(23, 103, 183, 263, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281)(34, 114, 194, 274, 42, 122, 202, 282)(35, 115, 195, 275, 43, 123, 203, 283)(36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285)(38, 118, 198, 278, 46, 126, 206, 286)(39, 119, 199, 279, 47, 127, 207, 287)(40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297)(50, 130, 210, 290, 58, 138, 218, 298)(51, 131, 211, 291, 59, 139, 219, 299)(52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 101)(12, 98)(13, 99)(14, 84)(15, 104)(16, 102)(17, 103)(18, 94)(19, 95)(20, 96)(21, 97)(22, 89)(23, 91)(24, 93)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 107)(34, 108)(35, 105)(36, 106)(37, 111)(38, 112)(39, 109)(40, 110)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 123)(50, 124)(51, 121)(52, 122)(53, 127)(54, 128)(55, 125)(56, 126)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 139)(66, 140)(67, 137)(68, 138)(69, 143)(70, 144)(71, 141)(72, 142)(73, 159)(74, 160)(75, 157)(76, 158)(77, 153)(78, 154)(79, 155)(80, 156)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 260)(172, 259)(173, 258)(174, 264)(175, 244)(176, 263)(177, 262)(178, 255)(179, 254)(180, 257)(181, 256)(182, 251)(183, 249)(184, 252)(185, 274)(186, 273)(187, 276)(188, 275)(189, 278)(190, 277)(191, 280)(192, 279)(193, 268)(194, 267)(195, 266)(196, 265)(197, 272)(198, 271)(199, 270)(200, 269)(201, 290)(202, 289)(203, 292)(204, 291)(205, 294)(206, 293)(207, 296)(208, 295)(209, 284)(210, 283)(211, 282)(212, 281)(213, 288)(214, 287)(215, 286)(216, 285)(217, 306)(218, 305)(219, 308)(220, 307)(221, 310)(222, 309)(223, 312)(224, 311)(225, 300)(226, 299)(227, 298)(228, 297)(229, 304)(230, 303)(231, 302)(232, 301)(233, 320)(234, 319)(235, 318)(236, 317)(237, 314)(238, 313)(239, 316)(240, 315)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2148
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2160 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2^-1)^2, Y2^4, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, Y1^4, R * Y1 * R * Y2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 25, 105, 185, 265)(13, 93, 173, 253, 26, 106, 186, 266)(14, 94, 174, 254, 27, 107, 187, 267)(15, 95, 175, 255, 28, 108, 188, 268)(20, 100, 180, 260, 29, 109, 189, 269)(21, 101, 181, 261, 30, 110, 190, 270)(22, 102, 182, 262, 31, 111, 191, 271)(23, 103, 183, 263, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281)(34, 114, 194, 274, 42, 122, 202, 282)(35, 115, 195, 275, 43, 123, 203, 283)(36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285)(38, 118, 198, 278, 46, 126, 206, 286)(39, 119, 199, 279, 47, 127, 207, 287)(40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297)(50, 130, 210, 290, 58, 138, 218, 298)(51, 131, 211, 291, 59, 139, 219, 299)(52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301)(54, 134, 214, 294, 62, 142, 222, 302)(55, 135, 215, 295, 63, 143, 223, 303)(56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313)(66, 146, 226, 306, 74, 154, 234, 314)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 101)(12, 98)(13, 99)(14, 84)(15, 104)(16, 102)(17, 103)(18, 94)(19, 95)(20, 96)(21, 97)(22, 89)(23, 91)(24, 93)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 107)(34, 108)(35, 105)(36, 106)(37, 111)(38, 112)(39, 109)(40, 110)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 123)(50, 124)(51, 121)(52, 122)(53, 127)(54, 128)(55, 125)(56, 126)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 139)(66, 140)(67, 137)(68, 138)(69, 143)(70, 144)(71, 141)(72, 142)(73, 158)(74, 157)(75, 160)(76, 159)(77, 156)(78, 155)(79, 154)(80, 153)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 260)(172, 259)(173, 258)(174, 264)(175, 244)(176, 263)(177, 262)(178, 255)(179, 254)(180, 257)(181, 256)(182, 251)(183, 249)(184, 252)(185, 274)(186, 273)(187, 276)(188, 275)(189, 278)(190, 277)(191, 280)(192, 279)(193, 268)(194, 267)(195, 266)(196, 265)(197, 272)(198, 271)(199, 270)(200, 269)(201, 290)(202, 289)(203, 292)(204, 291)(205, 294)(206, 293)(207, 296)(208, 295)(209, 284)(210, 283)(211, 282)(212, 281)(213, 288)(214, 287)(215, 286)(216, 285)(217, 306)(218, 305)(219, 308)(220, 307)(221, 310)(222, 309)(223, 312)(224, 311)(225, 300)(226, 299)(227, 298)(228, 297)(229, 304)(230, 303)(231, 302)(232, 301)(233, 317)(234, 318)(235, 319)(236, 320)(237, 315)(238, 316)(239, 313)(240, 314)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2149
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|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, Y1^2, R^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * 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 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 11, 91)(13, 93, 17, 97)(14, 94, 18, 98)(15, 95, 19, 99)(16, 96, 20, 100)(21, 101, 25, 105)(22, 102, 26, 106)(23, 103, 27, 107)(24, 104, 28, 108)(29, 109, 33, 113)(30, 110, 34, 114)(31, 111, 38, 118)(32, 112, 37, 117)(35, 115, 53, 133)(36, 116, 60, 140)(39, 119, 57, 137)(40, 120, 55, 135)(41, 121, 59, 139)(42, 122, 61, 141)(43, 123, 64, 144)(44, 124, 63, 143)(45, 125, 67, 147)(46, 126, 69, 149)(47, 127, 72, 152)(48, 128, 74, 154)(49, 129, 77, 157)(50, 130, 79, 159)(51, 131, 78, 158)(52, 132, 80, 160)(54, 134, 76, 156)(56, 136, 73, 153)(58, 138, 62, 142)(65, 145, 68, 148)(66, 146, 71, 151)(70, 150, 75, 155)(161, 241, 163, 243, 168, 248, 164, 244)(162, 242, 165, 245, 171, 251, 166, 246)(167, 247, 173, 253, 169, 249, 174, 254)(170, 250, 175, 255, 172, 252, 176, 256)(177, 257, 181, 261, 178, 258, 182, 262)(179, 259, 183, 263, 180, 260, 184, 264)(185, 265, 189, 269, 186, 266, 190, 270)(187, 267, 191, 271, 188, 268, 192, 272)(193, 273, 213, 293, 194, 274, 215, 295)(195, 275, 217, 297, 200, 280, 219, 299)(196, 276, 221, 301, 203, 283, 223, 303)(197, 277, 224, 304, 198, 278, 220, 300)(199, 279, 227, 307, 201, 281, 229, 309)(202, 282, 232, 312, 204, 284, 234, 314)(205, 285, 237, 317, 206, 286, 239, 319)(207, 287, 238, 318, 208, 288, 240, 320)(209, 289, 236, 316, 210, 290, 233, 313)(211, 291, 231, 311, 212, 292, 228, 308)(214, 294, 222, 302, 216, 296, 235, 315)(218, 298, 225, 305, 230, 310, 226, 306)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 13, 93)(6, 86, 14, 94)(8, 88, 18, 98)(10, 90, 15, 95)(11, 91, 20, 100)(12, 92, 23, 103)(16, 96, 25, 105)(17, 97, 28, 108)(19, 99, 29, 109)(21, 101, 32, 112)(22, 102, 27, 107)(24, 104, 33, 113)(26, 106, 36, 116)(30, 110, 38, 118)(31, 111, 40, 120)(34, 114, 42, 122)(35, 115, 44, 124)(37, 117, 45, 125)(39, 119, 48, 128)(41, 121, 49, 129)(43, 123, 52, 132)(46, 126, 54, 134)(47, 127, 56, 136)(50, 130, 58, 138)(51, 131, 60, 140)(53, 133, 61, 141)(55, 135, 64, 144)(57, 137, 65, 145)(59, 139, 68, 148)(62, 142, 70, 150)(63, 143, 72, 152)(66, 146, 74, 154)(67, 147, 76, 156)(69, 149, 77, 157)(71, 151, 80, 160)(73, 153, 78, 158)(75, 155, 79, 159)(161, 241, 163, 243, 170, 250, 165, 245)(162, 242, 166, 246, 175, 255, 168, 248)(164, 244, 171, 251, 182, 262, 172, 252)(167, 247, 176, 256, 187, 267, 177, 257)(169, 249, 179, 259, 173, 253, 181, 261)(174, 254, 184, 264, 178, 258, 186, 266)(180, 260, 190, 270, 183, 263, 191, 271)(185, 265, 194, 274, 188, 268, 195, 275)(189, 269, 197, 277, 192, 272, 199, 279)(193, 273, 201, 281, 196, 276, 203, 283)(198, 278, 206, 286, 200, 280, 207, 287)(202, 282, 210, 290, 204, 284, 211, 291)(205, 285, 213, 293, 208, 288, 215, 295)(209, 289, 217, 297, 212, 292, 219, 299)(214, 294, 222, 302, 216, 296, 223, 303)(218, 298, 226, 306, 220, 300, 227, 307)(221, 301, 229, 309, 224, 304, 231, 311)(225, 305, 233, 313, 228, 308, 235, 315)(230, 310, 238, 318, 232, 312, 239, 319)(234, 314, 237, 317, 236, 316, 240, 320)
	L = (1, 164)(2, 167)(3, 171)(4, 161)(5, 172)(6, 176)(7, 162)(8, 177)(9, 180)(10, 182)(11, 163)(12, 165)(13, 183)(14, 185)(15, 187)(16, 166)(17, 168)(18, 188)(19, 190)(20, 169)(21, 191)(22, 170)(23, 173)(24, 194)(25, 174)(26, 195)(27, 175)(28, 178)(29, 198)(30, 179)(31, 181)(32, 200)(33, 202)(34, 184)(35, 186)(36, 204)(37, 206)(38, 189)(39, 207)(40, 192)(41, 210)(42, 193)(43, 211)(44, 196)(45, 214)(46, 197)(47, 199)(48, 216)(49, 218)(50, 201)(51, 203)(52, 220)(53, 222)(54, 205)(55, 223)(56, 208)(57, 226)(58, 209)(59, 227)(60, 212)(61, 230)(62, 213)(63, 215)(64, 232)(65, 234)(66, 217)(67, 219)(68, 236)(69, 238)(70, 221)(71, 239)(72, 224)(73, 237)(74, 225)(75, 240)(76, 228)(77, 233)(78, 229)(79, 231)(80, 235)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 13, 93)(6, 86, 14, 94)(8, 88, 18, 98)(10, 90, 15, 95)(11, 91, 20, 100)(12, 92, 23, 103)(16, 96, 25, 105)(17, 97, 28, 108)(19, 99, 29, 109)(21, 101, 32, 112)(22, 102, 27, 107)(24, 104, 33, 113)(26, 106, 36, 116)(30, 110, 38, 118)(31, 111, 40, 120)(34, 114, 42, 122)(35, 115, 44, 124)(37, 117, 45, 125)(39, 119, 48, 128)(41, 121, 49, 129)(43, 123, 52, 132)(46, 126, 54, 134)(47, 127, 56, 136)(50, 130, 58, 138)(51, 131, 60, 140)(53, 133, 61, 141)(55, 135, 64, 144)(57, 137, 65, 145)(59, 139, 68, 148)(62, 142, 70, 150)(63, 143, 72, 152)(66, 146, 74, 154)(67, 147, 76, 156)(69, 149, 77, 157)(71, 151, 80, 160)(73, 153, 79, 159)(75, 155, 78, 158)(161, 241, 163, 243, 170, 250, 165, 245)(162, 242, 166, 246, 175, 255, 168, 248)(164, 244, 171, 251, 182, 262, 172, 252)(167, 247, 176, 256, 187, 267, 177, 257)(169, 249, 179, 259, 173, 253, 181, 261)(174, 254, 184, 264, 178, 258, 186, 266)(180, 260, 190, 270, 183, 263, 191, 271)(185, 265, 194, 274, 188, 268, 195, 275)(189, 269, 197, 277, 192, 272, 199, 279)(193, 273, 201, 281, 196, 276, 203, 283)(198, 278, 206, 286, 200, 280, 207, 287)(202, 282, 210, 290, 204, 284, 211, 291)(205, 285, 213, 293, 208, 288, 215, 295)(209, 289, 217, 297, 212, 292, 219, 299)(214, 294, 222, 302, 216, 296, 223, 303)(218, 298, 226, 306, 220, 300, 227, 307)(221, 301, 229, 309, 224, 304, 231, 311)(225, 305, 233, 313, 228, 308, 235, 315)(230, 310, 238, 318, 232, 312, 239, 319)(234, 314, 240, 320, 236, 316, 237, 317)
	L = (1, 164)(2, 167)(3, 171)(4, 161)(5, 172)(6, 176)(7, 162)(8, 177)(9, 180)(10, 182)(11, 163)(12, 165)(13, 183)(14, 185)(15, 187)(16, 166)(17, 168)(18, 188)(19, 190)(20, 169)(21, 191)(22, 170)(23, 173)(24, 194)(25, 174)(26, 195)(27, 175)(28, 178)(29, 198)(30, 179)(31, 181)(32, 200)(33, 202)(34, 184)(35, 186)(36, 204)(37, 206)(38, 189)(39, 207)(40, 192)(41, 210)(42, 193)(43, 211)(44, 196)(45, 214)(46, 197)(47, 199)(48, 216)(49, 218)(50, 201)(51, 203)(52, 220)(53, 222)(54, 205)(55, 223)(56, 208)(57, 226)(58, 209)(59, 227)(60, 212)(61, 230)(62, 213)(63, 215)(64, 232)(65, 234)(66, 217)(67, 219)(68, 236)(69, 238)(70, 221)(71, 239)(72, 224)(73, 240)(74, 225)(75, 237)(76, 228)(77, 235)(78, 229)(79, 231)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, 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 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 10, 90)(6, 86, 11, 91)(8, 88, 12, 92)(13, 93, 17, 97)(14, 94, 18, 98)(15, 95, 19, 99)(16, 96, 20, 100)(21, 101, 25, 105)(22, 102, 26, 106)(23, 103, 27, 107)(24, 104, 28, 108)(29, 109, 33, 113)(30, 110, 34, 114)(31, 111, 51, 131)(32, 112, 52, 132)(35, 115, 55, 135)(36, 116, 56, 136)(37, 117, 57, 137)(38, 118, 58, 138)(39, 119, 59, 139)(40, 120, 60, 140)(41, 121, 61, 141)(42, 122, 62, 142)(43, 123, 63, 143)(44, 124, 64, 144)(45, 125, 65, 145)(46, 126, 66, 146)(47, 127, 67, 147)(48, 128, 68, 148)(49, 129, 69, 149)(50, 130, 70, 150)(53, 133, 73, 153)(54, 134, 74, 154)(71, 151, 80, 160)(72, 152, 79, 159)(75, 155, 77, 157)(76, 156, 78, 158)(161, 241, 163, 243, 164, 244, 165, 245)(162, 242, 166, 246, 167, 247, 168, 248)(169, 249, 173, 253, 170, 250, 174, 254)(171, 251, 175, 255, 172, 252, 176, 256)(177, 257, 181, 261, 178, 258, 182, 262)(179, 259, 183, 263, 180, 260, 184, 264)(185, 265, 189, 269, 186, 266, 190, 270)(187, 267, 191, 271, 188, 268, 192, 272)(193, 273, 195, 275, 194, 274, 197, 277)(196, 276, 212, 292, 198, 278, 211, 291)(199, 279, 217, 297, 200, 280, 215, 295)(201, 281, 218, 298, 202, 282, 216, 296)(203, 283, 220, 300, 204, 284, 219, 299)(205, 285, 222, 302, 206, 286, 221, 301)(207, 287, 224, 304, 208, 288, 223, 303)(209, 289, 226, 306, 210, 290, 225, 305)(213, 293, 228, 308, 214, 294, 227, 307)(229, 309, 231, 311, 230, 310, 232, 312)(233, 313, 235, 315, 234, 314, 236, 316)(237, 317, 239, 319, 238, 318, 240, 320)
	L = (1, 164)(2, 167)(3, 165)(4, 161)(5, 163)(6, 168)(7, 162)(8, 166)(9, 170)(10, 169)(11, 172)(12, 171)(13, 174)(14, 173)(15, 176)(16, 175)(17, 178)(18, 177)(19, 180)(20, 179)(21, 182)(22, 181)(23, 184)(24, 183)(25, 186)(26, 185)(27, 188)(28, 187)(29, 190)(30, 189)(31, 192)(32, 191)(33, 194)(34, 193)(35, 197)(36, 198)(37, 195)(38, 196)(39, 200)(40, 199)(41, 202)(42, 201)(43, 204)(44, 203)(45, 206)(46, 205)(47, 208)(48, 207)(49, 210)(50, 209)(51, 212)(52, 211)(53, 214)(54, 213)(55, 217)(56, 218)(57, 215)(58, 216)(59, 220)(60, 219)(61, 222)(62, 221)(63, 224)(64, 223)(65, 226)(66, 225)(67, 228)(68, 227)(69, 230)(70, 229)(71, 232)(72, 231)(73, 234)(74, 233)(75, 236)(76, 235)(77, 238)(78, 237)(79, 240)(80, 239)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, Y3^5, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, R * Y2 * R * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, R * Y2 * Y1 * Y2^-1 * R * Y3^-1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 32, 112)(14, 94, 30, 110)(15, 95, 28, 108)(16, 96, 38, 118)(18, 98, 39, 119)(19, 99, 24, 104)(22, 102, 44, 124)(23, 103, 42, 122)(25, 105, 50, 130)(27, 107, 51, 131)(29, 109, 53, 133)(31, 111, 58, 138)(33, 113, 46, 126)(34, 114, 45, 125)(35, 115, 60, 140)(36, 116, 56, 136)(37, 117, 63, 143)(40, 120, 64, 144)(41, 121, 54, 134)(43, 123, 59, 139)(47, 127, 68, 148)(48, 128, 66, 146)(49, 129, 71, 151)(52, 132, 72, 152)(55, 135, 73, 153)(57, 137, 77, 157)(61, 141, 70, 150)(62, 142, 69, 149)(65, 145, 74, 154)(67, 147, 78, 158)(75, 155, 79, 159)(76, 156, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 193, 273, 176, 256)(166, 246, 173, 253, 194, 274, 178, 258)(168, 248, 183, 263, 205, 285, 185, 265)(170, 250, 182, 262, 206, 286, 187, 267)(171, 251, 189, 269, 177, 257, 191, 271)(175, 255, 196, 276, 221, 301, 197, 277)(179, 259, 195, 275, 222, 302, 200, 280)(180, 260, 201, 281, 186, 266, 203, 283)(184, 264, 208, 288, 229, 309, 209, 289)(188, 268, 207, 287, 230, 310, 212, 292)(190, 270, 215, 295, 198, 278, 217, 297)(192, 272, 214, 294, 199, 279, 219, 299)(202, 282, 225, 305, 210, 290, 227, 307)(204, 284, 213, 293, 211, 291, 218, 298)(216, 296, 235, 315, 223, 303, 236, 316)(220, 300, 234, 314, 224, 304, 238, 318)(226, 306, 239, 319, 231, 311, 240, 320)(228, 308, 233, 313, 232, 312, 237, 317)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 190)(12, 193)(13, 195)(14, 163)(15, 179)(16, 165)(17, 198)(18, 200)(19, 166)(20, 202)(21, 205)(22, 207)(23, 167)(24, 188)(25, 169)(26, 210)(27, 212)(28, 170)(29, 214)(30, 216)(31, 219)(32, 171)(33, 221)(34, 172)(35, 196)(36, 174)(37, 176)(38, 223)(39, 177)(40, 197)(41, 213)(42, 226)(43, 218)(44, 180)(45, 229)(46, 181)(47, 208)(48, 183)(49, 185)(50, 231)(51, 186)(52, 209)(53, 233)(54, 234)(55, 189)(56, 220)(57, 191)(58, 237)(59, 238)(60, 192)(61, 222)(62, 194)(63, 224)(64, 199)(65, 201)(66, 228)(67, 203)(68, 204)(69, 230)(70, 206)(71, 232)(72, 211)(73, 239)(74, 235)(75, 215)(76, 217)(77, 240)(78, 236)(79, 225)(80, 227)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * R)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-2 * Y3^-5, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2, R * Y2 * Y1 * Y2 * R * Y2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 32, 112)(14, 94, 30, 110)(15, 95, 28, 108)(16, 96, 39, 119)(18, 98, 40, 120)(19, 99, 24, 104)(22, 102, 46, 126)(23, 103, 44, 124)(25, 105, 53, 133)(27, 107, 54, 134)(29, 109, 57, 137)(31, 111, 62, 142)(33, 113, 48, 128)(34, 114, 47, 127)(35, 115, 64, 144)(36, 116, 60, 140)(37, 117, 56, 136)(38, 118, 65, 145)(41, 121, 66, 146)(42, 122, 51, 131)(43, 123, 63, 143)(45, 125, 58, 138)(49, 129, 70, 150)(50, 130, 68, 148)(52, 132, 71, 151)(55, 135, 72, 152)(59, 139, 73, 153)(61, 141, 77, 157)(67, 147, 78, 158)(69, 149, 74, 154)(75, 155, 79, 159)(76, 156, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 193, 273, 176, 256)(166, 246, 173, 253, 194, 274, 178, 258)(168, 248, 183, 263, 207, 287, 185, 265)(170, 250, 182, 262, 208, 288, 187, 267)(171, 251, 189, 269, 177, 257, 191, 271)(175, 255, 196, 276, 202, 282, 198, 278)(179, 259, 195, 275, 197, 277, 201, 281)(180, 260, 203, 283, 186, 266, 205, 285)(184, 264, 210, 290, 216, 296, 212, 292)(188, 268, 209, 289, 211, 291, 215, 295)(190, 270, 219, 299, 199, 279, 221, 301)(192, 272, 218, 298, 200, 280, 223, 303)(204, 284, 227, 307, 213, 293, 229, 309)(206, 286, 222, 302, 214, 294, 217, 297)(220, 300, 235, 315, 225, 305, 236, 316)(224, 304, 234, 314, 226, 306, 238, 318)(228, 308, 239, 319, 231, 311, 240, 320)(230, 310, 237, 317, 232, 312, 233, 313)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 190)(12, 193)(13, 195)(14, 163)(15, 197)(16, 165)(17, 199)(18, 201)(19, 166)(20, 204)(21, 207)(22, 209)(23, 167)(24, 211)(25, 169)(26, 213)(27, 215)(28, 170)(29, 218)(30, 220)(31, 223)(32, 171)(33, 202)(34, 172)(35, 198)(36, 174)(37, 194)(38, 176)(39, 225)(40, 177)(41, 196)(42, 179)(43, 222)(44, 228)(45, 217)(46, 180)(47, 216)(48, 181)(49, 212)(50, 183)(51, 208)(52, 185)(53, 231)(54, 186)(55, 210)(56, 188)(57, 233)(58, 234)(59, 189)(60, 226)(61, 191)(62, 237)(63, 238)(64, 192)(65, 224)(66, 200)(67, 203)(68, 232)(69, 205)(70, 206)(71, 230)(72, 214)(73, 239)(74, 236)(75, 219)(76, 221)(77, 240)(78, 235)(79, 227)(80, 229)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3 * Y2 * Y3, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y3^-3 * Y2^-1, Y3^-1 * Y1 * Y3^2 * R * Y2 * Y1 * Y2 * R, Y2 * R * Y1 * Y2 * Y1 * Y2^-1 * R * Y1 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 32, 112)(14, 94, 30, 110)(15, 95, 28, 108)(16, 96, 39, 119)(18, 98, 40, 120)(19, 99, 24, 104)(22, 102, 41, 121)(23, 103, 43, 123)(25, 105, 50, 130)(27, 107, 35, 115)(29, 109, 37, 117)(31, 111, 54, 134)(33, 113, 46, 126)(34, 114, 45, 125)(36, 116, 52, 132)(38, 118, 61, 141)(42, 122, 48, 128)(44, 124, 65, 145)(47, 127, 63, 143)(49, 129, 70, 150)(51, 131, 59, 139)(53, 133, 74, 154)(55, 135, 56, 136)(57, 137, 66, 146)(58, 138, 72, 152)(60, 140, 78, 158)(62, 142, 68, 148)(64, 144, 80, 160)(67, 147, 77, 157)(69, 149, 75, 155)(71, 151, 76, 156)(73, 153, 79, 159)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 193, 273, 176, 256)(166, 246, 173, 253, 194, 274, 178, 258)(168, 248, 183, 263, 205, 285, 185, 265)(170, 250, 182, 262, 206, 286, 187, 267)(171, 251, 189, 269, 177, 257, 191, 271)(175, 255, 196, 276, 216, 296, 198, 278)(179, 259, 195, 275, 217, 297, 201, 281)(180, 260, 202, 282, 186, 266, 204, 284)(184, 264, 207, 287, 226, 306, 209, 289)(188, 268, 200, 280, 215, 295, 192, 272)(190, 270, 211, 291, 199, 279, 213, 293)(197, 277, 218, 298, 214, 294, 220, 300)(203, 283, 222, 302, 210, 290, 224, 304)(208, 288, 227, 307, 225, 305, 229, 309)(212, 292, 231, 311, 221, 301, 233, 313)(219, 299, 235, 315, 234, 314, 237, 317)(223, 303, 236, 316, 230, 310, 239, 319)(228, 308, 238, 318, 240, 320, 232, 312)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 190)(12, 193)(13, 195)(14, 163)(15, 197)(16, 165)(17, 199)(18, 201)(19, 166)(20, 203)(21, 205)(22, 200)(23, 167)(24, 208)(25, 169)(26, 210)(27, 192)(28, 170)(29, 188)(30, 212)(31, 215)(32, 171)(33, 216)(34, 172)(35, 186)(36, 174)(37, 219)(38, 176)(39, 221)(40, 177)(41, 180)(42, 179)(43, 223)(44, 217)(45, 226)(46, 181)(47, 183)(48, 228)(49, 185)(50, 230)(51, 189)(52, 232)(53, 191)(54, 234)(55, 206)(56, 214)(57, 194)(58, 196)(59, 236)(60, 198)(61, 238)(62, 202)(63, 237)(64, 204)(65, 240)(66, 225)(67, 207)(68, 231)(69, 209)(70, 235)(71, 211)(72, 229)(73, 213)(74, 239)(75, 218)(76, 222)(77, 220)(78, 227)(79, 224)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 14>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y3^3 * Y1 * Y2^-1 * Y1, (R * Y3^-3)^2, Y3^-1 * Y1 * Y3 * R * Y2 * Y1 * Y2^-1 * R * Y3^-1, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 32, 112)(14, 94, 30, 110)(15, 95, 28, 108)(16, 96, 39, 119)(18, 98, 40, 120)(19, 99, 24, 104)(22, 102, 35, 115)(23, 103, 44, 124)(25, 105, 50, 130)(27, 107, 41, 121)(29, 109, 51, 131)(31, 111, 37, 117)(33, 113, 46, 126)(34, 114, 45, 125)(36, 116, 54, 134)(38, 118, 61, 141)(42, 122, 48, 128)(43, 123, 63, 143)(47, 127, 65, 145)(49, 129, 70, 150)(52, 132, 56, 136)(53, 133, 71, 151)(55, 135, 59, 139)(57, 137, 66, 146)(58, 138, 73, 153)(60, 140, 78, 158)(62, 142, 68, 148)(64, 144, 79, 159)(67, 147, 75, 155)(69, 149, 77, 157)(72, 152, 80, 160)(74, 154, 76, 156)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 193, 273, 176, 256)(166, 246, 173, 253, 194, 274, 178, 258)(168, 248, 183, 263, 205, 285, 185, 265)(170, 250, 182, 262, 206, 286, 187, 267)(171, 251, 189, 269, 177, 257, 191, 271)(175, 255, 196, 276, 216, 296, 198, 278)(179, 259, 195, 275, 217, 297, 201, 281)(180, 260, 203, 283, 186, 266, 202, 282)(184, 264, 207, 287, 226, 306, 209, 289)(188, 268, 192, 272, 212, 292, 200, 280)(190, 270, 213, 293, 199, 279, 215, 295)(197, 277, 218, 298, 211, 291, 220, 300)(204, 284, 224, 304, 210, 290, 222, 302)(208, 288, 227, 307, 223, 303, 229, 309)(214, 294, 232, 312, 221, 301, 234, 314)(219, 299, 235, 315, 231, 311, 237, 317)(225, 305, 240, 320, 230, 310, 236, 316)(228, 308, 233, 313, 239, 319, 238, 318)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 190)(12, 193)(13, 195)(14, 163)(15, 197)(16, 165)(17, 199)(18, 201)(19, 166)(20, 204)(21, 205)(22, 192)(23, 167)(24, 208)(25, 169)(26, 210)(27, 200)(28, 170)(29, 212)(30, 214)(31, 188)(32, 171)(33, 216)(34, 172)(35, 180)(36, 174)(37, 219)(38, 176)(39, 221)(40, 177)(41, 186)(42, 179)(43, 217)(44, 225)(45, 226)(46, 181)(47, 183)(48, 228)(49, 185)(50, 230)(51, 231)(52, 206)(53, 189)(54, 233)(55, 191)(56, 211)(57, 194)(58, 196)(59, 236)(60, 198)(61, 238)(62, 202)(63, 239)(64, 203)(65, 235)(66, 223)(67, 207)(68, 234)(69, 209)(70, 237)(71, 240)(72, 213)(73, 227)(74, 215)(75, 218)(76, 222)(77, 220)(78, 229)(79, 232)(80, 224)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2169 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x C2 x (C5 : C4) (small group id <80, 50>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y2^2 * Y1^2, R * Y1 * R * Y2, Y2^4, Y2^-2 * Y1^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 30, 110)(13, 93, 32, 112)(14, 94, 33, 113)(15, 95, 34, 114)(20, 100, 40, 120)(21, 101, 42, 122)(22, 102, 43, 123)(23, 103, 44, 124)(25, 105, 46, 126)(26, 106, 48, 128)(27, 107, 49, 129)(28, 108, 50, 130)(29, 109, 51, 131)(31, 111, 54, 134)(35, 115, 58, 138)(36, 116, 60, 140)(37, 117, 61, 141)(38, 118, 62, 142)(39, 119, 63, 143)(41, 121, 66, 146)(45, 125, 64, 144)(47, 127, 65, 145)(52, 132, 59, 139)(53, 133, 57, 137)(55, 135, 71, 151)(56, 136, 72, 152)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(73, 153, 79, 159)(74, 154, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 189, 174)(169, 180, 199, 182)(171, 185, 205, 187)(173, 179, 175, 191)(176, 188, 207, 186)(177, 183, 201, 181)(178, 195, 217, 197)(184, 198, 219, 196)(190, 208, 229, 213)(192, 215, 224, 204)(193, 216, 225, 200)(194, 209, 230, 212)(202, 227, 214, 222)(203, 228, 211, 218)(206, 220, 233, 226)(210, 221, 234, 223)(231, 235, 239, 238)(232, 236, 240, 237)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 269, 255)(249, 261, 279, 263)(251, 266, 285, 268)(252, 259, 254, 271)(256, 267, 287, 265)(257, 262, 281, 260)(258, 276, 297, 278)(264, 277, 299, 275)(270, 292, 309, 289)(272, 280, 304, 296)(273, 284, 305, 295)(274, 293, 310, 288)(282, 298, 294, 308)(283, 302, 291, 307)(286, 303, 313, 301)(290, 306, 314, 300)(311, 317, 319, 316)(312, 318, 320, 315)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2176
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2170 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x C2 x (C5 : C4) (small group id <80, 50>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2^-1, Y1), Y1^4, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1 * Y2^-1)^2, (Y3 * Y1 * Y3 * Y2^-1)^2, Y2^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 30, 110)(13, 93, 32, 112)(14, 94, 33, 113)(15, 95, 34, 114)(20, 100, 40, 120)(21, 101, 42, 122)(22, 102, 43, 123)(23, 103, 44, 124)(25, 105, 46, 126)(26, 106, 48, 128)(27, 107, 49, 129)(28, 108, 50, 130)(29, 109, 51, 131)(31, 111, 54, 134)(35, 115, 58, 138)(36, 116, 60, 140)(37, 117, 61, 141)(38, 118, 62, 142)(39, 119, 63, 143)(41, 121, 66, 146)(45, 125, 67, 147)(47, 127, 68, 148)(52, 132, 71, 151)(53, 133, 72, 152)(55, 135, 59, 139)(56, 136, 57, 137)(64, 144, 75, 155)(65, 145, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(73, 153, 79, 159)(74, 154, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 189, 174)(169, 180, 199, 182)(171, 185, 205, 187)(173, 179, 175, 191)(176, 188, 207, 186)(177, 183, 201, 181)(178, 195, 217, 197)(184, 198, 219, 196)(190, 208, 223, 213)(192, 215, 224, 204)(193, 216, 225, 200)(194, 209, 226, 212)(202, 227, 233, 222)(203, 228, 234, 218)(206, 220, 214, 230)(210, 221, 211, 229)(231, 235, 239, 238)(232, 236, 240, 237)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 269, 255)(249, 261, 279, 263)(251, 266, 285, 268)(252, 259, 254, 271)(256, 267, 287, 265)(257, 262, 281, 260)(258, 276, 297, 278)(264, 277, 299, 275)(270, 292, 303, 289)(272, 280, 304, 296)(273, 284, 305, 295)(274, 293, 306, 288)(282, 298, 313, 308)(283, 302, 314, 307)(286, 309, 294, 301)(290, 310, 291, 300)(311, 317, 319, 316)(312, 318, 320, 315)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2175
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2171 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y2 * Y1, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y1^-2 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 7, 87)(5, 85, 10, 90)(8, 88, 16, 96)(9, 89, 17, 97)(11, 91, 21, 101)(12, 92, 22, 102)(13, 93, 24, 104)(14, 94, 25, 105)(15, 95, 26, 106)(18, 98, 30, 110)(19, 99, 31, 111)(20, 100, 32, 112)(23, 103, 35, 115)(27, 107, 40, 120)(28, 108, 41, 121)(29, 109, 42, 122)(33, 113, 47, 127)(34, 114, 48, 128)(36, 116, 51, 131)(37, 117, 52, 132)(38, 118, 54, 134)(39, 119, 55, 135)(43, 123, 60, 140)(44, 124, 61, 141)(45, 125, 63, 143)(46, 126, 64, 144)(49, 129, 68, 148)(50, 130, 66, 146)(53, 133, 69, 149)(56, 136, 62, 142)(57, 137, 59, 139)(58, 138, 72, 152)(65, 145, 71, 151)(67, 147, 73, 153)(70, 150, 76, 156)(74, 154, 78, 158)(75, 155, 79, 159)(77, 157, 80, 160)(161, 162, 165, 163)(164, 168, 175, 169)(166, 171, 180, 172)(167, 173, 183, 174)(170, 178, 189, 179)(176, 185, 197, 187)(177, 188, 193, 181)(182, 194, 203, 190)(184, 191, 204, 196)(186, 198, 213, 199)(192, 205, 222, 206)(195, 209, 227, 210)(200, 216, 230, 214)(201, 215, 221, 217)(202, 218, 231, 219)(207, 225, 234, 223)(208, 224, 212, 226)(211, 229, 235, 228)(220, 233, 237, 232)(236, 238, 240, 239)(241, 243, 245, 242)(244, 249, 255, 248)(246, 252, 260, 251)(247, 254, 263, 253)(250, 259, 269, 258)(256, 267, 277, 265)(257, 261, 273, 268)(262, 270, 283, 274)(264, 276, 284, 271)(266, 279, 293, 278)(272, 286, 302, 285)(275, 290, 307, 289)(280, 294, 310, 296)(281, 297, 301, 295)(282, 299, 311, 298)(287, 303, 314, 305)(288, 306, 292, 304)(291, 308, 315, 309)(300, 312, 317, 313)(316, 319, 320, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2178
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2172 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y1^-1 * Y2^-1, (Y2 * Y1^-1)^2, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 7, 87)(5, 85, 10, 90)(8, 88, 16, 96)(9, 89, 17, 97)(11, 91, 21, 101)(12, 92, 22, 102)(13, 93, 24, 104)(14, 94, 25, 105)(15, 95, 26, 106)(18, 98, 30, 110)(19, 99, 31, 111)(20, 100, 32, 112)(23, 103, 35, 115)(27, 107, 40, 120)(28, 108, 41, 121)(29, 109, 42, 122)(33, 113, 47, 127)(34, 114, 48, 128)(36, 116, 51, 131)(37, 117, 52, 132)(38, 118, 54, 134)(39, 119, 55, 135)(43, 123, 60, 140)(44, 124, 61, 141)(45, 125, 63, 143)(46, 126, 64, 144)(49, 129, 65, 145)(50, 130, 68, 148)(53, 133, 66, 146)(56, 136, 58, 138)(57, 137, 67, 147)(59, 139, 72, 152)(62, 142, 73, 153)(69, 149, 71, 151)(70, 150, 76, 156)(74, 154, 78, 158)(75, 155, 79, 159)(77, 157, 80, 160)(161, 162, 165, 163)(164, 168, 175, 169)(166, 171, 180, 172)(167, 173, 183, 174)(170, 178, 189, 179)(176, 185, 197, 187)(177, 188, 193, 181)(182, 194, 203, 190)(184, 191, 204, 196)(186, 198, 213, 199)(192, 205, 222, 206)(195, 209, 227, 210)(200, 216, 220, 214)(201, 215, 230, 217)(202, 218, 231, 219)(207, 225, 211, 223)(208, 224, 234, 226)(212, 228, 235, 229)(221, 232, 237, 233)(236, 238, 240, 239)(241, 243, 245, 242)(244, 249, 255, 248)(246, 252, 260, 251)(247, 254, 263, 253)(250, 259, 269, 258)(256, 267, 277, 265)(257, 261, 273, 268)(262, 270, 283, 274)(264, 276, 284, 271)(266, 279, 293, 278)(272, 286, 302, 285)(275, 290, 307, 289)(280, 294, 300, 296)(281, 297, 310, 295)(282, 299, 311, 298)(287, 303, 291, 305)(288, 306, 314, 304)(292, 309, 315, 308)(301, 313, 317, 312)(316, 319, 320, 318)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2177
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2173 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, Y1^-2 * Y2^2, (Y2^-1 * Y1)^2, Y2^4, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-1 * Y3 * Y2)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 30, 110)(13, 93, 32, 112)(14, 94, 33, 113)(15, 95, 34, 114)(20, 100, 40, 120)(21, 101, 42, 122)(22, 102, 43, 123)(23, 103, 44, 124)(25, 105, 46, 126)(26, 106, 48, 128)(27, 107, 49, 129)(28, 108, 50, 130)(29, 109, 51, 131)(31, 111, 54, 134)(35, 115, 58, 138)(36, 116, 60, 140)(37, 117, 61, 141)(38, 118, 62, 142)(39, 119, 63, 143)(41, 121, 66, 146)(45, 125, 65, 145)(47, 127, 64, 144)(52, 132, 57, 137)(53, 133, 59, 139)(55, 135, 71, 151)(56, 136, 72, 152)(67, 147, 75, 155)(68, 148, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(73, 153, 79, 159)(74, 154, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 189, 174)(169, 180, 199, 182)(171, 185, 205, 187)(173, 179, 175, 191)(176, 188, 207, 186)(177, 183, 201, 181)(178, 195, 217, 197)(184, 198, 219, 196)(190, 208, 229, 213)(192, 215, 224, 204)(193, 216, 225, 200)(194, 209, 230, 212)(202, 227, 211, 222)(203, 228, 214, 218)(206, 220, 233, 223)(210, 221, 234, 226)(231, 236, 239, 237)(232, 235, 240, 238)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 269, 255)(249, 261, 279, 263)(251, 266, 285, 268)(252, 259, 254, 271)(256, 267, 287, 265)(257, 262, 281, 260)(258, 276, 297, 278)(264, 277, 299, 275)(270, 292, 309, 289)(272, 280, 304, 296)(273, 284, 305, 295)(274, 293, 310, 288)(282, 298, 291, 308)(283, 302, 294, 307)(286, 306, 313, 301)(290, 303, 314, 300)(311, 318, 319, 315)(312, 317, 320, 316)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2180
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2174 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y1)^2, Y2^-2 * Y1^-2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y2^4, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y1 * Y3 * Y1 * Y2^-1 * Y1^-2 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84)(2, 82, 9, 89)(3, 83, 11, 91)(5, 85, 16, 96)(6, 86, 17, 97)(7, 87, 18, 98)(8, 88, 19, 99)(10, 90, 24, 104)(12, 92, 30, 110)(13, 93, 32, 112)(14, 94, 33, 113)(15, 95, 34, 114)(20, 100, 40, 120)(21, 101, 42, 122)(22, 102, 43, 123)(23, 103, 44, 124)(25, 105, 46, 126)(26, 106, 48, 128)(27, 107, 49, 129)(28, 108, 50, 130)(29, 109, 51, 131)(31, 111, 54, 134)(35, 115, 58, 138)(36, 116, 60, 140)(37, 117, 61, 141)(38, 118, 62, 142)(39, 119, 63, 143)(41, 121, 66, 146)(45, 125, 68, 148)(47, 127, 67, 147)(52, 132, 71, 151)(53, 133, 72, 152)(55, 135, 57, 137)(56, 136, 59, 139)(64, 144, 75, 155)(65, 145, 76, 156)(69, 149, 77, 157)(70, 150, 78, 158)(73, 153, 79, 159)(74, 154, 80, 160)(161, 162, 167, 165)(163, 168, 166, 170)(164, 172, 189, 174)(169, 180, 199, 182)(171, 185, 205, 187)(173, 179, 175, 191)(176, 188, 207, 186)(177, 183, 201, 181)(178, 195, 217, 197)(184, 198, 219, 196)(190, 208, 226, 213)(192, 215, 224, 204)(193, 216, 225, 200)(194, 209, 223, 212)(202, 227, 233, 222)(203, 228, 234, 218)(206, 220, 211, 230)(210, 221, 214, 229)(231, 236, 239, 237)(232, 235, 240, 238)(241, 243, 247, 246)(242, 248, 245, 250)(244, 253, 269, 255)(249, 261, 279, 263)(251, 266, 285, 268)(252, 259, 254, 271)(256, 267, 287, 265)(257, 262, 281, 260)(258, 276, 297, 278)(264, 277, 299, 275)(270, 292, 306, 289)(272, 280, 304, 296)(273, 284, 305, 295)(274, 293, 303, 288)(282, 298, 313, 308)(283, 302, 314, 307)(286, 309, 291, 301)(290, 310, 294, 300)(311, 318, 319, 315)(312, 317, 320, 316)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2179
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2175 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x C2 x (C5 : C4) (small group id <80, 50>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y2^2 * Y1^2, R * Y1 * R * Y2, Y2^4, Y2^-2 * Y1^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 30, 110, 190, 270)(13, 93, 173, 253, 32, 112, 192, 272)(14, 94, 174, 254, 33, 113, 193, 273)(15, 95, 175, 255, 34, 114, 194, 274)(20, 100, 180, 260, 40, 120, 200, 280)(21, 101, 181, 261, 42, 122, 202, 282)(22, 102, 182, 262, 43, 123, 203, 283)(23, 103, 183, 263, 44, 124, 204, 284)(25, 105, 185, 265, 46, 126, 206, 286)(26, 106, 186, 266, 48, 128, 208, 288)(27, 107, 187, 267, 49, 129, 209, 289)(28, 108, 188, 268, 50, 130, 210, 290)(29, 109, 189, 269, 51, 131, 211, 291)(31, 111, 191, 271, 54, 134, 214, 294)(35, 115, 195, 275, 58, 138, 218, 298)(36, 116, 196, 276, 60, 140, 220, 300)(37, 117, 197, 277, 61, 141, 221, 301)(38, 118, 198, 278, 62, 142, 222, 302)(39, 119, 199, 279, 63, 143, 223, 303)(41, 121, 201, 281, 66, 146, 226, 306)(45, 125, 205, 285, 64, 144, 224, 304)(47, 127, 207, 287, 65, 145, 225, 305)(52, 132, 212, 292, 59, 139, 219, 299)(53, 133, 213, 293, 57, 137, 217, 297)(55, 135, 215, 295, 71, 151, 231, 311)(56, 136, 216, 296, 72, 152, 232, 312)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(73, 153, 233, 313, 79, 159, 239, 319)(74, 154, 234, 314, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 105)(12, 109)(13, 99)(14, 84)(15, 111)(16, 108)(17, 103)(18, 115)(19, 95)(20, 119)(21, 97)(22, 89)(23, 121)(24, 118)(25, 125)(26, 96)(27, 91)(28, 127)(29, 94)(30, 128)(31, 93)(32, 135)(33, 136)(34, 129)(35, 137)(36, 104)(37, 98)(38, 139)(39, 102)(40, 113)(41, 101)(42, 147)(43, 148)(44, 112)(45, 107)(46, 140)(47, 106)(48, 149)(49, 150)(50, 141)(51, 138)(52, 114)(53, 110)(54, 142)(55, 144)(56, 145)(57, 117)(58, 123)(59, 116)(60, 153)(61, 154)(62, 122)(63, 130)(64, 124)(65, 120)(66, 126)(67, 134)(68, 131)(69, 133)(70, 132)(71, 155)(72, 156)(73, 146)(74, 143)(75, 159)(76, 160)(77, 152)(78, 151)(79, 158)(80, 157)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 266)(172, 259)(173, 269)(174, 271)(175, 244)(176, 267)(177, 262)(178, 276)(179, 254)(180, 257)(181, 279)(182, 281)(183, 249)(184, 277)(185, 256)(186, 285)(187, 287)(188, 251)(189, 255)(190, 292)(191, 252)(192, 280)(193, 284)(194, 293)(195, 264)(196, 297)(197, 299)(198, 258)(199, 263)(200, 304)(201, 260)(202, 298)(203, 302)(204, 305)(205, 268)(206, 303)(207, 265)(208, 274)(209, 270)(210, 306)(211, 307)(212, 309)(213, 310)(214, 308)(215, 273)(216, 272)(217, 278)(218, 294)(219, 275)(220, 290)(221, 286)(222, 291)(223, 313)(224, 296)(225, 295)(226, 314)(227, 283)(228, 282)(229, 289)(230, 288)(231, 317)(232, 318)(233, 301)(234, 300)(235, 312)(236, 311)(237, 319)(238, 320)(239, 316)(240, 315)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2170
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2176 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x C2 x (C5 : C4) (small group id <80, 50>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (Y2^-1, Y1), Y1^4, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-1 * Y2^-1)^2, (Y3 * Y1 * Y3 * Y2^-1)^2, Y2^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 30, 110, 190, 270)(13, 93, 173, 253, 32, 112, 192, 272)(14, 94, 174, 254, 33, 113, 193, 273)(15, 95, 175, 255, 34, 114, 194, 274)(20, 100, 180, 260, 40, 120, 200, 280)(21, 101, 181, 261, 42, 122, 202, 282)(22, 102, 182, 262, 43, 123, 203, 283)(23, 103, 183, 263, 44, 124, 204, 284)(25, 105, 185, 265, 46, 126, 206, 286)(26, 106, 186, 266, 48, 128, 208, 288)(27, 107, 187, 267, 49, 129, 209, 289)(28, 108, 188, 268, 50, 130, 210, 290)(29, 109, 189, 269, 51, 131, 211, 291)(31, 111, 191, 271, 54, 134, 214, 294)(35, 115, 195, 275, 58, 138, 218, 298)(36, 116, 196, 276, 60, 140, 220, 300)(37, 117, 197, 277, 61, 141, 221, 301)(38, 118, 198, 278, 62, 142, 222, 302)(39, 119, 199, 279, 63, 143, 223, 303)(41, 121, 201, 281, 66, 146, 226, 306)(45, 125, 205, 285, 67, 147, 227, 307)(47, 127, 207, 287, 68, 148, 228, 308)(52, 132, 212, 292, 71, 151, 231, 311)(53, 133, 213, 293, 72, 152, 232, 312)(55, 135, 215, 295, 59, 139, 219, 299)(56, 136, 216, 296, 57, 137, 217, 297)(64, 144, 224, 304, 75, 155, 235, 315)(65, 145, 225, 305, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(73, 153, 233, 313, 79, 159, 239, 319)(74, 154, 234, 314, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 105)(12, 109)(13, 99)(14, 84)(15, 111)(16, 108)(17, 103)(18, 115)(19, 95)(20, 119)(21, 97)(22, 89)(23, 121)(24, 118)(25, 125)(26, 96)(27, 91)(28, 127)(29, 94)(30, 128)(31, 93)(32, 135)(33, 136)(34, 129)(35, 137)(36, 104)(37, 98)(38, 139)(39, 102)(40, 113)(41, 101)(42, 147)(43, 148)(44, 112)(45, 107)(46, 140)(47, 106)(48, 143)(49, 146)(50, 141)(51, 149)(52, 114)(53, 110)(54, 150)(55, 144)(56, 145)(57, 117)(58, 123)(59, 116)(60, 134)(61, 131)(62, 122)(63, 133)(64, 124)(65, 120)(66, 132)(67, 153)(68, 154)(69, 130)(70, 126)(71, 155)(72, 156)(73, 142)(74, 138)(75, 159)(76, 160)(77, 152)(78, 151)(79, 158)(80, 157)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 266)(172, 259)(173, 269)(174, 271)(175, 244)(176, 267)(177, 262)(178, 276)(179, 254)(180, 257)(181, 279)(182, 281)(183, 249)(184, 277)(185, 256)(186, 285)(187, 287)(188, 251)(189, 255)(190, 292)(191, 252)(192, 280)(193, 284)(194, 293)(195, 264)(196, 297)(197, 299)(198, 258)(199, 263)(200, 304)(201, 260)(202, 298)(203, 302)(204, 305)(205, 268)(206, 309)(207, 265)(208, 274)(209, 270)(210, 310)(211, 300)(212, 303)(213, 306)(214, 301)(215, 273)(216, 272)(217, 278)(218, 313)(219, 275)(220, 290)(221, 286)(222, 314)(223, 289)(224, 296)(225, 295)(226, 288)(227, 283)(228, 282)(229, 294)(230, 291)(231, 317)(232, 318)(233, 308)(234, 307)(235, 312)(236, 311)(237, 319)(238, 320)(239, 316)(240, 315)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2169
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2177 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y2 * Y1, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y1^-2 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 7, 87, 167, 247)(5, 85, 165, 245, 10, 90, 170, 250)(8, 88, 168, 248, 16, 96, 176, 256)(9, 89, 169, 249, 17, 97, 177, 257)(11, 91, 171, 251, 21, 101, 181, 261)(12, 92, 172, 252, 22, 102, 182, 262)(13, 93, 173, 253, 24, 104, 184, 264)(14, 94, 174, 254, 25, 105, 185, 265)(15, 95, 175, 255, 26, 106, 186, 266)(18, 98, 178, 258, 30, 110, 190, 270)(19, 99, 179, 259, 31, 111, 191, 271)(20, 100, 180, 260, 32, 112, 192, 272)(23, 103, 183, 263, 35, 115, 195, 275)(27, 107, 187, 267, 40, 120, 200, 280)(28, 108, 188, 268, 41, 121, 201, 281)(29, 109, 189, 269, 42, 122, 202, 282)(33, 113, 193, 273, 47, 127, 207, 287)(34, 114, 194, 274, 48, 128, 208, 288)(36, 116, 196, 276, 51, 131, 211, 291)(37, 117, 197, 277, 52, 132, 212, 292)(38, 118, 198, 278, 54, 134, 214, 294)(39, 119, 199, 279, 55, 135, 215, 295)(43, 123, 203, 283, 60, 140, 220, 300)(44, 124, 204, 284, 61, 141, 221, 301)(45, 125, 205, 285, 63, 143, 223, 303)(46, 126, 206, 286, 64, 144, 224, 304)(49, 129, 209, 289, 68, 148, 228, 308)(50, 130, 210, 290, 66, 146, 226, 306)(53, 133, 213, 293, 69, 149, 229, 309)(56, 136, 216, 296, 62, 142, 222, 302)(57, 137, 217, 297, 59, 139, 219, 299)(58, 138, 218, 298, 72, 152, 232, 312)(65, 145, 225, 305, 71, 151, 231, 311)(67, 147, 227, 307, 73, 153, 233, 313)(70, 150, 230, 310, 76, 156, 236, 316)(74, 154, 234, 314, 78, 158, 238, 318)(75, 155, 235, 315, 79, 159, 239, 319)(77, 157, 237, 317, 80, 160, 240, 320)
	L = (1, 82)(2, 85)(3, 81)(4, 88)(5, 83)(6, 91)(7, 93)(8, 95)(9, 84)(10, 98)(11, 100)(12, 86)(13, 103)(14, 87)(15, 89)(16, 105)(17, 108)(18, 109)(19, 90)(20, 92)(21, 97)(22, 114)(23, 94)(24, 111)(25, 117)(26, 118)(27, 96)(28, 113)(29, 99)(30, 102)(31, 124)(32, 125)(33, 101)(34, 123)(35, 129)(36, 104)(37, 107)(38, 133)(39, 106)(40, 136)(41, 135)(42, 138)(43, 110)(44, 116)(45, 142)(46, 112)(47, 145)(48, 144)(49, 147)(50, 115)(51, 149)(52, 146)(53, 119)(54, 120)(55, 141)(56, 150)(57, 121)(58, 151)(59, 122)(60, 153)(61, 137)(62, 126)(63, 127)(64, 132)(65, 154)(66, 128)(67, 130)(68, 131)(69, 155)(70, 134)(71, 139)(72, 140)(73, 157)(74, 143)(75, 148)(76, 158)(77, 152)(78, 160)(79, 156)(80, 159)(161, 243)(162, 241)(163, 245)(164, 249)(165, 242)(166, 252)(167, 254)(168, 244)(169, 255)(170, 259)(171, 246)(172, 260)(173, 247)(174, 263)(175, 248)(176, 267)(177, 261)(178, 250)(179, 269)(180, 251)(181, 273)(182, 270)(183, 253)(184, 276)(185, 256)(186, 279)(187, 277)(188, 257)(189, 258)(190, 283)(191, 264)(192, 286)(193, 268)(194, 262)(195, 290)(196, 284)(197, 265)(198, 266)(199, 293)(200, 294)(201, 297)(202, 299)(203, 274)(204, 271)(205, 272)(206, 302)(207, 303)(208, 306)(209, 275)(210, 307)(211, 308)(212, 304)(213, 278)(214, 310)(215, 281)(216, 280)(217, 301)(218, 282)(219, 311)(220, 312)(221, 295)(222, 285)(223, 314)(224, 288)(225, 287)(226, 292)(227, 289)(228, 315)(229, 291)(230, 296)(231, 298)(232, 317)(233, 300)(234, 305)(235, 309)(236, 319)(237, 313)(238, 316)(239, 320)(240, 318)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2172
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2178 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, Y1^-1 * Y2^-1, (Y2 * Y1^-1)^2, Y1^4, Y2^2 * Y1^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1, Y3 * Y2^2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 7, 87, 167, 247)(5, 85, 165, 245, 10, 90, 170, 250)(8, 88, 168, 248, 16, 96, 176, 256)(9, 89, 169, 249, 17, 97, 177, 257)(11, 91, 171, 251, 21, 101, 181, 261)(12, 92, 172, 252, 22, 102, 182, 262)(13, 93, 173, 253, 24, 104, 184, 264)(14, 94, 174, 254, 25, 105, 185, 265)(15, 95, 175, 255, 26, 106, 186, 266)(18, 98, 178, 258, 30, 110, 190, 270)(19, 99, 179, 259, 31, 111, 191, 271)(20, 100, 180, 260, 32, 112, 192, 272)(23, 103, 183, 263, 35, 115, 195, 275)(27, 107, 187, 267, 40, 120, 200, 280)(28, 108, 188, 268, 41, 121, 201, 281)(29, 109, 189, 269, 42, 122, 202, 282)(33, 113, 193, 273, 47, 127, 207, 287)(34, 114, 194, 274, 48, 128, 208, 288)(36, 116, 196, 276, 51, 131, 211, 291)(37, 117, 197, 277, 52, 132, 212, 292)(38, 118, 198, 278, 54, 134, 214, 294)(39, 119, 199, 279, 55, 135, 215, 295)(43, 123, 203, 283, 60, 140, 220, 300)(44, 124, 204, 284, 61, 141, 221, 301)(45, 125, 205, 285, 63, 143, 223, 303)(46, 126, 206, 286, 64, 144, 224, 304)(49, 129, 209, 289, 65, 145, 225, 305)(50, 130, 210, 290, 68, 148, 228, 308)(53, 133, 213, 293, 66, 146, 226, 306)(56, 136, 216, 296, 58, 138, 218, 298)(57, 137, 217, 297, 67, 147, 227, 307)(59, 139, 219, 299, 72, 152, 232, 312)(62, 142, 222, 302, 73, 153, 233, 313)(69, 149, 229, 309, 71, 151, 231, 311)(70, 150, 230, 310, 76, 156, 236, 316)(74, 154, 234, 314, 78, 158, 238, 318)(75, 155, 235, 315, 79, 159, 239, 319)(77, 157, 237, 317, 80, 160, 240, 320)
	L = (1, 82)(2, 85)(3, 81)(4, 88)(5, 83)(6, 91)(7, 93)(8, 95)(9, 84)(10, 98)(11, 100)(12, 86)(13, 103)(14, 87)(15, 89)(16, 105)(17, 108)(18, 109)(19, 90)(20, 92)(21, 97)(22, 114)(23, 94)(24, 111)(25, 117)(26, 118)(27, 96)(28, 113)(29, 99)(30, 102)(31, 124)(32, 125)(33, 101)(34, 123)(35, 129)(36, 104)(37, 107)(38, 133)(39, 106)(40, 136)(41, 135)(42, 138)(43, 110)(44, 116)(45, 142)(46, 112)(47, 145)(48, 144)(49, 147)(50, 115)(51, 143)(52, 148)(53, 119)(54, 120)(55, 150)(56, 140)(57, 121)(58, 151)(59, 122)(60, 134)(61, 152)(62, 126)(63, 127)(64, 154)(65, 131)(66, 128)(67, 130)(68, 155)(69, 132)(70, 137)(71, 139)(72, 157)(73, 141)(74, 146)(75, 149)(76, 158)(77, 153)(78, 160)(79, 156)(80, 159)(161, 243)(162, 241)(163, 245)(164, 249)(165, 242)(166, 252)(167, 254)(168, 244)(169, 255)(170, 259)(171, 246)(172, 260)(173, 247)(174, 263)(175, 248)(176, 267)(177, 261)(178, 250)(179, 269)(180, 251)(181, 273)(182, 270)(183, 253)(184, 276)(185, 256)(186, 279)(187, 277)(188, 257)(189, 258)(190, 283)(191, 264)(192, 286)(193, 268)(194, 262)(195, 290)(196, 284)(197, 265)(198, 266)(199, 293)(200, 294)(201, 297)(202, 299)(203, 274)(204, 271)(205, 272)(206, 302)(207, 303)(208, 306)(209, 275)(210, 307)(211, 305)(212, 309)(213, 278)(214, 300)(215, 281)(216, 280)(217, 310)(218, 282)(219, 311)(220, 296)(221, 313)(222, 285)(223, 291)(224, 288)(225, 287)(226, 314)(227, 289)(228, 292)(229, 315)(230, 295)(231, 298)(232, 301)(233, 317)(234, 304)(235, 308)(236, 319)(237, 312)(238, 316)(239, 320)(240, 318)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2171
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2179 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, Y1^-2 * Y2^2, (Y2^-1 * Y1)^2, Y2^4, Y2^-2 * Y1^-2, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-1 * Y3 * Y2)^2, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 30, 110, 190, 270)(13, 93, 173, 253, 32, 112, 192, 272)(14, 94, 174, 254, 33, 113, 193, 273)(15, 95, 175, 255, 34, 114, 194, 274)(20, 100, 180, 260, 40, 120, 200, 280)(21, 101, 181, 261, 42, 122, 202, 282)(22, 102, 182, 262, 43, 123, 203, 283)(23, 103, 183, 263, 44, 124, 204, 284)(25, 105, 185, 265, 46, 126, 206, 286)(26, 106, 186, 266, 48, 128, 208, 288)(27, 107, 187, 267, 49, 129, 209, 289)(28, 108, 188, 268, 50, 130, 210, 290)(29, 109, 189, 269, 51, 131, 211, 291)(31, 111, 191, 271, 54, 134, 214, 294)(35, 115, 195, 275, 58, 138, 218, 298)(36, 116, 196, 276, 60, 140, 220, 300)(37, 117, 197, 277, 61, 141, 221, 301)(38, 118, 198, 278, 62, 142, 222, 302)(39, 119, 199, 279, 63, 143, 223, 303)(41, 121, 201, 281, 66, 146, 226, 306)(45, 125, 205, 285, 65, 145, 225, 305)(47, 127, 207, 287, 64, 144, 224, 304)(52, 132, 212, 292, 57, 137, 217, 297)(53, 133, 213, 293, 59, 139, 219, 299)(55, 135, 215, 295, 71, 151, 231, 311)(56, 136, 216, 296, 72, 152, 232, 312)(67, 147, 227, 307, 75, 155, 235, 315)(68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(73, 153, 233, 313, 79, 159, 239, 319)(74, 154, 234, 314, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 105)(12, 109)(13, 99)(14, 84)(15, 111)(16, 108)(17, 103)(18, 115)(19, 95)(20, 119)(21, 97)(22, 89)(23, 121)(24, 118)(25, 125)(26, 96)(27, 91)(28, 127)(29, 94)(30, 128)(31, 93)(32, 135)(33, 136)(34, 129)(35, 137)(36, 104)(37, 98)(38, 139)(39, 102)(40, 113)(41, 101)(42, 147)(43, 148)(44, 112)(45, 107)(46, 140)(47, 106)(48, 149)(49, 150)(50, 141)(51, 142)(52, 114)(53, 110)(54, 138)(55, 144)(56, 145)(57, 117)(58, 123)(59, 116)(60, 153)(61, 154)(62, 122)(63, 126)(64, 124)(65, 120)(66, 130)(67, 131)(68, 134)(69, 133)(70, 132)(71, 156)(72, 155)(73, 143)(74, 146)(75, 160)(76, 159)(77, 151)(78, 152)(79, 157)(80, 158)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 266)(172, 259)(173, 269)(174, 271)(175, 244)(176, 267)(177, 262)(178, 276)(179, 254)(180, 257)(181, 279)(182, 281)(183, 249)(184, 277)(185, 256)(186, 285)(187, 287)(188, 251)(189, 255)(190, 292)(191, 252)(192, 280)(193, 284)(194, 293)(195, 264)(196, 297)(197, 299)(198, 258)(199, 263)(200, 304)(201, 260)(202, 298)(203, 302)(204, 305)(205, 268)(206, 306)(207, 265)(208, 274)(209, 270)(210, 303)(211, 308)(212, 309)(213, 310)(214, 307)(215, 273)(216, 272)(217, 278)(218, 291)(219, 275)(220, 290)(221, 286)(222, 294)(223, 314)(224, 296)(225, 295)(226, 313)(227, 283)(228, 282)(229, 289)(230, 288)(231, 318)(232, 317)(233, 301)(234, 300)(235, 311)(236, 312)(237, 320)(238, 319)(239, 315)(240, 316)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2174
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2180 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = C2 x ((C2 x (C5 : C4)) : C2) (small group id <160, 212>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y1)^2, Y2^-2 * Y1^-2, Y2^2 * Y1^-2, R * Y1 * R * Y2, Y2^4, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y1 * Y3 * Y1 * Y2^-1 * Y1^-2 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 9, 89, 169, 249)(3, 83, 163, 243, 11, 91, 171, 251)(5, 85, 165, 245, 16, 96, 176, 256)(6, 86, 166, 246, 17, 97, 177, 257)(7, 87, 167, 247, 18, 98, 178, 258)(8, 88, 168, 248, 19, 99, 179, 259)(10, 90, 170, 250, 24, 104, 184, 264)(12, 92, 172, 252, 30, 110, 190, 270)(13, 93, 173, 253, 32, 112, 192, 272)(14, 94, 174, 254, 33, 113, 193, 273)(15, 95, 175, 255, 34, 114, 194, 274)(20, 100, 180, 260, 40, 120, 200, 280)(21, 101, 181, 261, 42, 122, 202, 282)(22, 102, 182, 262, 43, 123, 203, 283)(23, 103, 183, 263, 44, 124, 204, 284)(25, 105, 185, 265, 46, 126, 206, 286)(26, 106, 186, 266, 48, 128, 208, 288)(27, 107, 187, 267, 49, 129, 209, 289)(28, 108, 188, 268, 50, 130, 210, 290)(29, 109, 189, 269, 51, 131, 211, 291)(31, 111, 191, 271, 54, 134, 214, 294)(35, 115, 195, 275, 58, 138, 218, 298)(36, 116, 196, 276, 60, 140, 220, 300)(37, 117, 197, 277, 61, 141, 221, 301)(38, 118, 198, 278, 62, 142, 222, 302)(39, 119, 199, 279, 63, 143, 223, 303)(41, 121, 201, 281, 66, 146, 226, 306)(45, 125, 205, 285, 68, 148, 228, 308)(47, 127, 207, 287, 67, 147, 227, 307)(52, 132, 212, 292, 71, 151, 231, 311)(53, 133, 213, 293, 72, 152, 232, 312)(55, 135, 215, 295, 57, 137, 217, 297)(56, 136, 216, 296, 59, 139, 219, 299)(64, 144, 224, 304, 75, 155, 235, 315)(65, 145, 225, 305, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317)(70, 150, 230, 310, 78, 158, 238, 318)(73, 153, 233, 313, 79, 159, 239, 319)(74, 154, 234, 314, 80, 160, 240, 320)
	L = (1, 82)(2, 87)(3, 88)(4, 92)(5, 81)(6, 90)(7, 85)(8, 86)(9, 100)(10, 83)(11, 105)(12, 109)(13, 99)(14, 84)(15, 111)(16, 108)(17, 103)(18, 115)(19, 95)(20, 119)(21, 97)(22, 89)(23, 121)(24, 118)(25, 125)(26, 96)(27, 91)(28, 127)(29, 94)(30, 128)(31, 93)(32, 135)(33, 136)(34, 129)(35, 137)(36, 104)(37, 98)(38, 139)(39, 102)(40, 113)(41, 101)(42, 147)(43, 148)(44, 112)(45, 107)(46, 140)(47, 106)(48, 146)(49, 143)(50, 141)(51, 150)(52, 114)(53, 110)(54, 149)(55, 144)(56, 145)(57, 117)(58, 123)(59, 116)(60, 131)(61, 134)(62, 122)(63, 132)(64, 124)(65, 120)(66, 133)(67, 153)(68, 154)(69, 130)(70, 126)(71, 156)(72, 155)(73, 142)(74, 138)(75, 160)(76, 159)(77, 151)(78, 152)(79, 157)(80, 158)(161, 243)(162, 248)(163, 247)(164, 253)(165, 250)(166, 241)(167, 246)(168, 245)(169, 261)(170, 242)(171, 266)(172, 259)(173, 269)(174, 271)(175, 244)(176, 267)(177, 262)(178, 276)(179, 254)(180, 257)(181, 279)(182, 281)(183, 249)(184, 277)(185, 256)(186, 285)(187, 287)(188, 251)(189, 255)(190, 292)(191, 252)(192, 280)(193, 284)(194, 293)(195, 264)(196, 297)(197, 299)(198, 258)(199, 263)(200, 304)(201, 260)(202, 298)(203, 302)(204, 305)(205, 268)(206, 309)(207, 265)(208, 274)(209, 270)(210, 310)(211, 301)(212, 306)(213, 303)(214, 300)(215, 273)(216, 272)(217, 278)(218, 313)(219, 275)(220, 290)(221, 286)(222, 314)(223, 288)(224, 296)(225, 295)(226, 289)(227, 283)(228, 282)(229, 291)(230, 294)(231, 318)(232, 317)(233, 308)(234, 307)(235, 311)(236, 312)(237, 320)(238, 319)(239, 315)(240, 316)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2173
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 38>)
Aut   = C2 x ((C20 x C2) : C2) (small group id <160, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^6 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 30, 110)(14, 94, 25, 105)(15, 95, 28, 108)(16, 96, 23, 103)(18, 98, 35, 115)(19, 99, 24, 104)(22, 102, 39, 119)(27, 107, 44, 124)(29, 109, 47, 127)(31, 111, 41, 121)(32, 112, 40, 120)(33, 113, 49, 129)(34, 114, 46, 126)(36, 116, 52, 132)(37, 117, 43, 123)(38, 118, 55, 135)(42, 122, 57, 137)(45, 125, 60, 140)(48, 128, 63, 143)(50, 130, 65, 145)(51, 131, 62, 142)(53, 133, 68, 148)(54, 134, 59, 139)(56, 136, 71, 151)(58, 138, 73, 153)(61, 141, 76, 156)(64, 144, 79, 159)(66, 146, 74, 154)(67, 147, 78, 158)(69, 149, 77, 157)(70, 150, 75, 155)(72, 152, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 191, 271, 176, 256)(166, 246, 173, 253, 192, 272, 178, 258)(168, 248, 183, 263, 200, 280, 185, 265)(170, 250, 182, 262, 201, 281, 187, 267)(171, 251, 184, 264, 177, 257, 189, 269)(175, 255, 186, 266, 198, 278, 180, 260)(179, 259, 193, 273, 207, 287, 196, 276)(188, 268, 202, 282, 215, 295, 205, 285)(190, 270, 203, 283, 195, 275, 208, 288)(194, 274, 204, 284, 216, 296, 199, 279)(197, 277, 210, 290, 223, 303, 213, 293)(206, 286, 218, 298, 231, 311, 221, 301)(209, 289, 219, 299, 212, 292, 224, 304)(211, 291, 220, 300, 232, 312, 217, 297)(214, 294, 226, 306, 239, 319, 229, 309)(222, 302, 234, 314, 240, 320, 237, 317)(225, 305, 235, 315, 228, 308, 238, 318)(227, 307, 236, 316, 230, 310, 233, 313)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 185)(12, 191)(13, 193)(14, 163)(15, 194)(16, 165)(17, 183)(18, 196)(19, 166)(20, 176)(21, 200)(22, 202)(23, 167)(24, 203)(25, 169)(26, 174)(27, 205)(28, 170)(29, 208)(30, 171)(31, 198)(32, 172)(33, 210)(34, 211)(35, 177)(36, 213)(37, 179)(38, 216)(39, 180)(40, 189)(41, 181)(42, 218)(43, 219)(44, 186)(45, 221)(46, 188)(47, 192)(48, 224)(49, 190)(50, 226)(51, 227)(52, 195)(53, 229)(54, 197)(55, 201)(56, 232)(57, 199)(58, 234)(59, 235)(60, 204)(61, 237)(62, 206)(63, 207)(64, 238)(65, 209)(66, 233)(67, 239)(68, 212)(69, 236)(70, 214)(71, 215)(72, 230)(73, 217)(74, 225)(75, 240)(76, 220)(77, 228)(78, 222)(79, 223)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 13, 93)(6, 86, 14, 94)(8, 88, 18, 98)(10, 90, 15, 95)(11, 91, 20, 100)(12, 92, 23, 103)(16, 96, 25, 105)(17, 97, 28, 108)(19, 99, 29, 109)(21, 101, 32, 112)(22, 102, 27, 107)(24, 104, 33, 113)(26, 106, 36, 116)(30, 110, 38, 118)(31, 111, 40, 120)(34, 114, 42, 122)(35, 115, 44, 124)(37, 117, 45, 125)(39, 119, 48, 128)(41, 121, 49, 129)(43, 123, 52, 132)(46, 126, 54, 134)(47, 127, 56, 136)(50, 130, 58, 138)(51, 131, 60, 140)(53, 133, 61, 141)(55, 135, 64, 144)(57, 137, 65, 145)(59, 139, 68, 148)(62, 142, 70, 150)(63, 143, 72, 152)(66, 146, 74, 154)(67, 147, 76, 156)(69, 149, 73, 153)(71, 151, 75, 155)(77, 157, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243, 170, 250, 165, 245)(162, 242, 166, 246, 175, 255, 168, 248)(164, 244, 171, 251, 182, 262, 172, 252)(167, 247, 176, 256, 187, 267, 177, 257)(169, 249, 179, 259, 173, 253, 181, 261)(174, 254, 184, 264, 178, 258, 186, 266)(180, 260, 190, 270, 183, 263, 191, 271)(185, 265, 194, 274, 188, 268, 195, 275)(189, 269, 197, 277, 192, 272, 199, 279)(193, 273, 201, 281, 196, 276, 203, 283)(198, 278, 206, 286, 200, 280, 207, 287)(202, 282, 210, 290, 204, 284, 211, 291)(205, 285, 213, 293, 208, 288, 215, 295)(209, 289, 217, 297, 212, 292, 219, 299)(214, 294, 222, 302, 216, 296, 223, 303)(218, 298, 226, 306, 220, 300, 227, 307)(221, 301, 229, 309, 224, 304, 231, 311)(225, 305, 233, 313, 228, 308, 235, 315)(230, 310, 237, 317, 232, 312, 238, 318)(234, 314, 239, 319, 236, 316, 240, 320)
	L = (1, 164)(2, 167)(3, 171)(4, 161)(5, 172)(6, 176)(7, 162)(8, 177)(9, 180)(10, 182)(11, 163)(12, 165)(13, 183)(14, 185)(15, 187)(16, 166)(17, 168)(18, 188)(19, 190)(20, 169)(21, 191)(22, 170)(23, 173)(24, 194)(25, 174)(26, 195)(27, 175)(28, 178)(29, 198)(30, 179)(31, 181)(32, 200)(33, 202)(34, 184)(35, 186)(36, 204)(37, 206)(38, 189)(39, 207)(40, 192)(41, 210)(42, 193)(43, 211)(44, 196)(45, 214)(46, 197)(47, 199)(48, 216)(49, 218)(50, 201)(51, 203)(52, 220)(53, 222)(54, 205)(55, 223)(56, 208)(57, 226)(58, 209)(59, 227)(60, 212)(61, 230)(62, 213)(63, 215)(64, 232)(65, 234)(66, 217)(67, 219)(68, 236)(69, 237)(70, 221)(71, 238)(72, 224)(73, 239)(74, 225)(75, 240)(76, 228)(77, 229)(78, 231)(79, 233)(80, 235)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 7, 87)(5, 85, 13, 93)(6, 86, 14, 94)(8, 88, 18, 98)(10, 90, 15, 95)(11, 91, 20, 100)(12, 92, 23, 103)(16, 96, 25, 105)(17, 97, 28, 108)(19, 99, 29, 109)(21, 101, 32, 112)(22, 102, 27, 107)(24, 104, 33, 113)(26, 106, 36, 116)(30, 110, 38, 118)(31, 111, 40, 120)(34, 114, 42, 122)(35, 115, 44, 124)(37, 117, 45, 125)(39, 119, 48, 128)(41, 121, 49, 129)(43, 123, 52, 132)(46, 126, 54, 134)(47, 127, 56, 136)(50, 130, 58, 138)(51, 131, 60, 140)(53, 133, 61, 141)(55, 135, 64, 144)(57, 137, 65, 145)(59, 139, 68, 148)(62, 142, 70, 150)(63, 143, 72, 152)(66, 146, 74, 154)(67, 147, 76, 156)(69, 149, 75, 155)(71, 151, 73, 153)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243, 170, 250, 165, 245)(162, 242, 166, 246, 175, 255, 168, 248)(164, 244, 171, 251, 182, 262, 172, 252)(167, 247, 176, 256, 187, 267, 177, 257)(169, 249, 179, 259, 173, 253, 181, 261)(174, 254, 184, 264, 178, 258, 186, 266)(180, 260, 190, 270, 183, 263, 191, 271)(185, 265, 194, 274, 188, 268, 195, 275)(189, 269, 197, 277, 192, 272, 199, 279)(193, 273, 201, 281, 196, 276, 203, 283)(198, 278, 206, 286, 200, 280, 207, 287)(202, 282, 210, 290, 204, 284, 211, 291)(205, 285, 213, 293, 208, 288, 215, 295)(209, 289, 217, 297, 212, 292, 219, 299)(214, 294, 222, 302, 216, 296, 223, 303)(218, 298, 226, 306, 220, 300, 227, 307)(221, 301, 229, 309, 224, 304, 231, 311)(225, 305, 233, 313, 228, 308, 235, 315)(230, 310, 237, 317, 232, 312, 238, 318)(234, 314, 239, 319, 236, 316, 240, 320)
	L = (1, 164)(2, 167)(3, 171)(4, 161)(5, 172)(6, 176)(7, 162)(8, 177)(9, 180)(10, 182)(11, 163)(12, 165)(13, 183)(14, 185)(15, 187)(16, 166)(17, 168)(18, 188)(19, 190)(20, 169)(21, 191)(22, 170)(23, 173)(24, 194)(25, 174)(26, 195)(27, 175)(28, 178)(29, 198)(30, 179)(31, 181)(32, 200)(33, 202)(34, 184)(35, 186)(36, 204)(37, 206)(38, 189)(39, 207)(40, 192)(41, 210)(42, 193)(43, 211)(44, 196)(45, 214)(46, 197)(47, 199)(48, 216)(49, 218)(50, 201)(51, 203)(52, 220)(53, 222)(54, 205)(55, 223)(56, 208)(57, 226)(58, 209)(59, 227)(60, 212)(61, 230)(62, 213)(63, 215)(64, 232)(65, 234)(66, 217)(67, 219)(68, 236)(69, 237)(70, 221)(71, 238)(72, 224)(73, 239)(74, 225)(75, 240)(76, 228)(77, 229)(78, 231)(79, 233)(80, 235)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x C4 x D10 (small group id <80, 36>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 30, 110)(14, 94, 23, 103)(15, 95, 28, 108)(16, 96, 25, 105)(18, 98, 35, 115)(19, 99, 24, 104)(22, 102, 39, 119)(27, 107, 44, 124)(29, 109, 47, 127)(31, 111, 41, 121)(32, 112, 40, 120)(33, 113, 49, 129)(34, 114, 46, 126)(36, 116, 52, 132)(37, 117, 43, 123)(38, 118, 55, 135)(42, 122, 57, 137)(45, 125, 60, 140)(48, 128, 63, 143)(50, 130, 65, 145)(51, 131, 62, 142)(53, 133, 68, 148)(54, 134, 59, 139)(56, 136, 70, 150)(58, 138, 72, 152)(61, 141, 75, 155)(64, 144, 77, 157)(66, 146, 73, 153)(67, 147, 74, 154)(69, 149, 76, 156)(71, 151, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 191, 271, 176, 256)(166, 246, 173, 253, 192, 272, 178, 258)(168, 248, 183, 263, 200, 280, 185, 265)(170, 250, 182, 262, 201, 281, 187, 267)(171, 251, 189, 269, 177, 257, 184, 264)(175, 255, 180, 260, 198, 278, 186, 266)(179, 259, 193, 273, 207, 287, 196, 276)(188, 268, 202, 282, 215, 295, 205, 285)(190, 270, 208, 288, 195, 275, 203, 283)(194, 274, 199, 279, 216, 296, 204, 284)(197, 277, 210, 290, 223, 303, 213, 293)(206, 286, 218, 298, 230, 310, 221, 301)(209, 289, 224, 304, 212, 292, 219, 299)(211, 291, 217, 297, 231, 311, 220, 300)(214, 294, 226, 306, 237, 317, 229, 309)(222, 302, 233, 313, 239, 319, 236, 316)(225, 305, 238, 318, 228, 308, 234, 314)(227, 307, 232, 312, 240, 320, 235, 315)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 183)(12, 191)(13, 193)(14, 163)(15, 194)(16, 165)(17, 185)(18, 196)(19, 166)(20, 174)(21, 200)(22, 202)(23, 167)(24, 203)(25, 169)(26, 176)(27, 205)(28, 170)(29, 208)(30, 171)(31, 198)(32, 172)(33, 210)(34, 211)(35, 177)(36, 213)(37, 179)(38, 216)(39, 180)(40, 189)(41, 181)(42, 218)(43, 219)(44, 186)(45, 221)(46, 188)(47, 192)(48, 224)(49, 190)(50, 226)(51, 227)(52, 195)(53, 229)(54, 197)(55, 201)(56, 231)(57, 199)(58, 233)(59, 234)(60, 204)(61, 236)(62, 206)(63, 207)(64, 238)(65, 209)(66, 232)(67, 214)(68, 212)(69, 235)(70, 215)(71, 240)(72, 217)(73, 225)(74, 222)(75, 220)(76, 228)(77, 223)(78, 239)(79, 230)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 38>)
Aut   = ((C4 x C2) : C2) x D10 (small group id <160, 223>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2^2, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, 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 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 15, 95)(6, 86, 8, 88)(7, 87, 16, 96)(9, 89, 20, 100)(12, 92, 17, 97)(13, 93, 24, 104)(14, 94, 22, 102)(18, 98, 28, 108)(19, 99, 26, 106)(21, 101, 29, 109)(23, 103, 32, 112)(25, 105, 33, 113)(27, 107, 36, 116)(30, 110, 40, 120)(31, 111, 38, 118)(34, 114, 44, 124)(35, 115, 42, 122)(37, 117, 45, 125)(39, 119, 48, 128)(41, 121, 49, 129)(43, 123, 52, 132)(46, 126, 56, 136)(47, 127, 54, 134)(50, 130, 60, 140)(51, 131, 58, 138)(53, 133, 61, 141)(55, 135, 64, 144)(57, 137, 65, 145)(59, 139, 68, 148)(62, 142, 72, 152)(63, 143, 70, 150)(66, 146, 76, 156)(67, 147, 74, 154)(69, 149, 73, 153)(71, 151, 75, 155)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 177, 257, 169, 249)(164, 244, 174, 254, 166, 246, 173, 253)(168, 248, 179, 259, 170, 250, 178, 258)(171, 251, 181, 261, 175, 255, 183, 263)(176, 256, 185, 265, 180, 260, 187, 267)(182, 262, 191, 271, 184, 264, 190, 270)(186, 266, 195, 275, 188, 268, 194, 274)(189, 269, 197, 277, 192, 272, 199, 279)(193, 273, 201, 281, 196, 276, 203, 283)(198, 278, 207, 287, 200, 280, 206, 286)(202, 282, 211, 291, 204, 284, 210, 290)(205, 285, 213, 293, 208, 288, 215, 295)(209, 289, 217, 297, 212, 292, 219, 299)(214, 294, 223, 303, 216, 296, 222, 302)(218, 298, 227, 307, 220, 300, 226, 306)(221, 301, 229, 309, 224, 304, 231, 311)(225, 305, 233, 313, 228, 308, 235, 315)(230, 310, 238, 318, 232, 312, 237, 317)(234, 314, 240, 320, 236, 316, 239, 319)
	L = (1, 164)(2, 168)(3, 173)(4, 172)(5, 174)(6, 161)(7, 178)(8, 177)(9, 179)(10, 162)(11, 182)(12, 166)(13, 165)(14, 163)(15, 184)(16, 186)(17, 170)(18, 169)(19, 167)(20, 188)(21, 190)(22, 175)(23, 191)(24, 171)(25, 194)(26, 180)(27, 195)(28, 176)(29, 198)(30, 183)(31, 181)(32, 200)(33, 202)(34, 187)(35, 185)(36, 204)(37, 206)(38, 192)(39, 207)(40, 189)(41, 210)(42, 196)(43, 211)(44, 193)(45, 214)(46, 199)(47, 197)(48, 216)(49, 218)(50, 203)(51, 201)(52, 220)(53, 222)(54, 208)(55, 223)(56, 205)(57, 226)(58, 212)(59, 227)(60, 209)(61, 230)(62, 215)(63, 213)(64, 232)(65, 234)(66, 219)(67, 217)(68, 236)(69, 237)(70, 224)(71, 238)(72, 221)(73, 239)(74, 228)(75, 240)(76, 225)(77, 231)(78, 229)(79, 235)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 38>)
Aut   = (C10 x D8) : C2 (small group id <160, 219>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 15, 95)(6, 86, 8, 88)(7, 87, 16, 96)(9, 89, 20, 100)(12, 92, 17, 97)(13, 93, 24, 104)(14, 94, 22, 102)(18, 98, 28, 108)(19, 99, 26, 106)(21, 101, 29, 109)(23, 103, 32, 112)(25, 105, 33, 113)(27, 107, 36, 116)(30, 110, 40, 120)(31, 111, 38, 118)(34, 114, 44, 124)(35, 115, 42, 122)(37, 117, 45, 125)(39, 119, 48, 128)(41, 121, 49, 129)(43, 123, 52, 132)(46, 126, 56, 136)(47, 127, 54, 134)(50, 130, 60, 140)(51, 131, 58, 138)(53, 133, 61, 141)(55, 135, 64, 144)(57, 137, 65, 145)(59, 139, 68, 148)(62, 142, 72, 152)(63, 143, 70, 150)(66, 146, 76, 156)(67, 147, 74, 154)(69, 149, 75, 155)(71, 151, 73, 153)(77, 157, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 177, 257, 169, 249)(164, 244, 174, 254, 166, 246, 173, 253)(168, 248, 179, 259, 170, 250, 178, 258)(171, 251, 181, 261, 175, 255, 183, 263)(176, 256, 185, 265, 180, 260, 187, 267)(182, 262, 191, 271, 184, 264, 190, 270)(186, 266, 195, 275, 188, 268, 194, 274)(189, 269, 197, 277, 192, 272, 199, 279)(193, 273, 201, 281, 196, 276, 203, 283)(198, 278, 207, 287, 200, 280, 206, 286)(202, 282, 211, 291, 204, 284, 210, 290)(205, 285, 213, 293, 208, 288, 215, 295)(209, 289, 217, 297, 212, 292, 219, 299)(214, 294, 223, 303, 216, 296, 222, 302)(218, 298, 227, 307, 220, 300, 226, 306)(221, 301, 229, 309, 224, 304, 231, 311)(225, 305, 233, 313, 228, 308, 235, 315)(230, 310, 238, 318, 232, 312, 237, 317)(234, 314, 240, 320, 236, 316, 239, 319)
	L = (1, 164)(2, 168)(3, 173)(4, 172)(5, 174)(6, 161)(7, 178)(8, 177)(9, 179)(10, 162)(11, 182)(12, 166)(13, 165)(14, 163)(15, 184)(16, 186)(17, 170)(18, 169)(19, 167)(20, 188)(21, 190)(22, 175)(23, 191)(24, 171)(25, 194)(26, 180)(27, 195)(28, 176)(29, 198)(30, 183)(31, 181)(32, 200)(33, 202)(34, 187)(35, 185)(36, 204)(37, 206)(38, 192)(39, 207)(40, 189)(41, 210)(42, 196)(43, 211)(44, 193)(45, 214)(46, 199)(47, 197)(48, 216)(49, 218)(50, 203)(51, 201)(52, 220)(53, 222)(54, 208)(55, 223)(56, 205)(57, 226)(58, 212)(59, 227)(60, 209)(61, 230)(62, 215)(63, 213)(64, 232)(65, 234)(66, 219)(67, 217)(68, 236)(69, 237)(70, 224)(71, 238)(72, 221)(73, 239)(74, 228)(75, 240)(76, 225)(77, 231)(78, 229)(79, 235)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C20 x C2) : C2 (small group id <80, 38>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y2 * Y3^-2 * Y2 * Y3^8 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 30, 110)(14, 94, 23, 103)(15, 95, 28, 108)(16, 96, 25, 105)(18, 98, 35, 115)(19, 99, 24, 104)(22, 102, 39, 119)(27, 107, 44, 124)(29, 109, 47, 127)(31, 111, 41, 121)(32, 112, 40, 120)(33, 113, 49, 129)(34, 114, 46, 126)(36, 116, 52, 132)(37, 117, 43, 123)(38, 118, 55, 135)(42, 122, 57, 137)(45, 125, 60, 140)(48, 128, 63, 143)(50, 130, 65, 145)(51, 131, 62, 142)(53, 133, 68, 148)(54, 134, 59, 139)(56, 136, 71, 151)(58, 138, 73, 153)(61, 141, 76, 156)(64, 144, 79, 159)(66, 146, 77, 157)(67, 147, 78, 158)(69, 149, 74, 154)(70, 150, 75, 155)(72, 152, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 191, 271, 176, 256)(166, 246, 173, 253, 192, 272, 178, 258)(168, 248, 183, 263, 200, 280, 185, 265)(170, 250, 182, 262, 201, 281, 187, 267)(171, 251, 189, 269, 177, 257, 184, 264)(175, 255, 180, 260, 198, 278, 186, 266)(179, 259, 193, 273, 207, 287, 196, 276)(188, 268, 202, 282, 215, 295, 205, 285)(190, 270, 208, 288, 195, 275, 203, 283)(194, 274, 199, 279, 216, 296, 204, 284)(197, 277, 210, 290, 223, 303, 213, 293)(206, 286, 218, 298, 231, 311, 221, 301)(209, 289, 224, 304, 212, 292, 219, 299)(211, 291, 217, 297, 232, 312, 220, 300)(214, 294, 226, 306, 239, 319, 229, 309)(222, 302, 234, 314, 240, 320, 237, 317)(225, 305, 238, 318, 228, 308, 235, 315)(227, 307, 233, 313, 230, 310, 236, 316)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 183)(12, 191)(13, 193)(14, 163)(15, 194)(16, 165)(17, 185)(18, 196)(19, 166)(20, 174)(21, 200)(22, 202)(23, 167)(24, 203)(25, 169)(26, 176)(27, 205)(28, 170)(29, 208)(30, 171)(31, 198)(32, 172)(33, 210)(34, 211)(35, 177)(36, 213)(37, 179)(38, 216)(39, 180)(40, 189)(41, 181)(42, 218)(43, 219)(44, 186)(45, 221)(46, 188)(47, 192)(48, 224)(49, 190)(50, 226)(51, 227)(52, 195)(53, 229)(54, 197)(55, 201)(56, 232)(57, 199)(58, 234)(59, 235)(60, 204)(61, 237)(62, 206)(63, 207)(64, 238)(65, 209)(66, 236)(67, 239)(68, 212)(69, 233)(70, 214)(71, 215)(72, 230)(73, 217)(74, 228)(75, 240)(76, 220)(77, 225)(78, 222)(79, 223)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2188 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 85, 5, 81)(3, 89, 9, 96, 16, 91, 11, 83)(4, 92, 12, 97, 17, 93, 13, 84)(7, 98, 18, 94, 14, 100, 20, 87)(8, 101, 21, 95, 15, 102, 22, 88)(10, 99, 19, 108, 28, 105, 25, 90)(23, 113, 33, 106, 26, 114, 34, 103)(24, 115, 35, 107, 27, 116, 36, 104)(29, 117, 37, 111, 31, 118, 38, 109)(30, 119, 39, 112, 32, 120, 40, 110)(41, 129, 49, 123, 43, 130, 50, 121)(42, 131, 51, 124, 44, 132, 52, 122)(45, 133, 53, 127, 47, 134, 54, 125)(46, 135, 55, 128, 48, 136, 56, 126)(57, 145, 65, 139, 59, 146, 66, 137)(58, 147, 67, 140, 60, 148, 68, 138)(61, 149, 69, 143, 63, 150, 70, 141)(62, 151, 71, 144, 64, 152, 72, 142)(73, 159, 79, 155, 75, 157, 77, 153)(74, 160, 80, 156, 76, 158, 78, 154)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 79)(71, 78)(72, 80)(81, 84)(82, 88)(83, 90)(85, 95)(86, 97)(87, 99)(89, 104)(91, 107)(92, 103)(93, 106)(94, 105)(96, 108)(98, 110)(100, 112)(101, 109)(102, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)(129, 138)(130, 140)(131, 137)(132, 139)(133, 142)(134, 144)(135, 141)(136, 143)(145, 154)(146, 156)(147, 153)(148, 155)(149, 158)(150, 160)(151, 157)(152, 159)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2189 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 4, 84, 13, 93, 5, 85)(2, 82, 7, 87, 20, 100, 8, 88)(3, 83, 9, 89, 23, 103, 10, 90)(6, 86, 16, 96, 28, 108, 17, 97)(11, 91, 24, 104, 14, 94, 25, 105)(12, 92, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(19, 99, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)(161, 162)(163, 166)(164, 171)(165, 174)(167, 178)(168, 181)(169, 179)(170, 182)(172, 176)(173, 180)(175, 177)(183, 188)(184, 193)(185, 195)(186, 194)(187, 196)(189, 197)(190, 199)(191, 198)(192, 200)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 238)(234, 237)(235, 240)(236, 239)(241, 243)(242, 246)(244, 252)(245, 255)(247, 259)(248, 262)(249, 258)(250, 261)(251, 256)(253, 263)(254, 257)(260, 268)(264, 274)(265, 276)(266, 273)(267, 275)(269, 278)(270, 280)(271, 277)(272, 279)(281, 290)(282, 292)(283, 289)(284, 291)(285, 294)(286, 296)(287, 293)(288, 295)(297, 306)(298, 308)(299, 305)(300, 307)(301, 310)(302, 312)(303, 309)(304, 311)(313, 320)(314, 319)(315, 318)(316, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2190
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2190 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = (C10 x D8) : C2 (small group id <160, 161>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 13, 93, 173, 253, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 20, 100, 180, 260, 8, 88, 168, 248)(3, 83, 163, 243, 9, 89, 169, 249, 23, 103, 183, 263, 10, 90, 170, 250)(6, 86, 166, 246, 16, 96, 176, 256, 28, 108, 188, 268, 17, 97, 177, 257)(11, 91, 171, 251, 24, 104, 184, 264, 14, 94, 174, 254, 25, 105, 185, 265)(12, 92, 172, 252, 26, 106, 186, 266, 15, 95, 175, 255, 27, 107, 187, 267)(18, 98, 178, 258, 29, 109, 189, 269, 21, 101, 181, 261, 30, 110, 190, 270)(19, 99, 179, 259, 31, 111, 191, 271, 22, 102, 182, 262, 32, 112, 192, 272)(33, 113, 193, 273, 41, 121, 201, 281, 35, 115, 195, 275, 42, 122, 202, 282)(34, 114, 194, 274, 43, 123, 203, 283, 36, 116, 196, 276, 44, 124, 204, 284)(37, 117, 197, 277, 45, 125, 205, 285, 39, 119, 199, 279, 46, 126, 206, 286)(38, 118, 198, 278, 47, 127, 207, 287, 40, 120, 200, 280, 48, 128, 208, 288)(49, 129, 209, 289, 57, 137, 217, 297, 51, 131, 211, 291, 58, 138, 218, 298)(50, 130, 210, 290, 59, 139, 219, 299, 52, 132, 212, 292, 60, 140, 220, 300)(53, 133, 213, 293, 61, 141, 221, 301, 55, 135, 215, 295, 62, 142, 222, 302)(54, 134, 214, 294, 63, 143, 223, 303, 56, 136, 216, 296, 64, 144, 224, 304)(65, 145, 225, 305, 73, 153, 233, 313, 67, 147, 227, 307, 74, 154, 234, 314)(66, 146, 226, 306, 75, 155, 235, 315, 68, 148, 228, 308, 76, 156, 236, 316)(69, 149, 229, 309, 77, 157, 237, 317, 71, 151, 231, 311, 78, 158, 238, 318)(70, 150, 230, 310, 79, 159, 239, 319, 72, 152, 232, 312, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 86)(4, 91)(5, 94)(6, 83)(7, 98)(8, 101)(9, 99)(10, 102)(11, 84)(12, 96)(13, 100)(14, 85)(15, 97)(16, 92)(17, 95)(18, 87)(19, 89)(20, 93)(21, 88)(22, 90)(23, 108)(24, 113)(25, 115)(26, 114)(27, 116)(28, 103)(29, 117)(30, 119)(31, 118)(32, 120)(33, 104)(34, 106)(35, 105)(36, 107)(37, 109)(38, 111)(39, 110)(40, 112)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 137)(66, 139)(67, 138)(68, 140)(69, 141)(70, 143)(71, 142)(72, 144)(73, 158)(74, 157)(75, 160)(76, 159)(77, 154)(78, 153)(79, 156)(80, 155)(161, 243)(162, 246)(163, 241)(164, 252)(165, 255)(166, 242)(167, 259)(168, 262)(169, 258)(170, 261)(171, 256)(172, 244)(173, 263)(174, 257)(175, 245)(176, 251)(177, 254)(178, 249)(179, 247)(180, 268)(181, 250)(182, 248)(183, 253)(184, 274)(185, 276)(186, 273)(187, 275)(188, 260)(189, 278)(190, 280)(191, 277)(192, 279)(193, 266)(194, 264)(195, 267)(196, 265)(197, 271)(198, 269)(199, 272)(200, 270)(201, 290)(202, 292)(203, 289)(204, 291)(205, 294)(206, 296)(207, 293)(208, 295)(209, 283)(210, 281)(211, 284)(212, 282)(213, 287)(214, 285)(215, 288)(216, 286)(217, 306)(218, 308)(219, 305)(220, 307)(221, 310)(222, 312)(223, 309)(224, 311)(225, 299)(226, 297)(227, 300)(228, 298)(229, 303)(230, 301)(231, 304)(232, 302)(233, 320)(234, 319)(235, 318)(236, 317)(237, 316)(238, 315)(239, 314)(240, 313)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2189
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = C2 x C2 x ((C10 x C2) : C2) (small group id <160, 227>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^10 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 11, 91)(4, 84, 10, 90)(5, 85, 17, 97)(6, 86, 8, 88)(7, 87, 20, 100)(9, 89, 26, 106)(12, 92, 21, 101)(13, 93, 30, 110)(14, 94, 25, 105)(15, 95, 28, 108)(16, 96, 23, 103)(18, 98, 35, 115)(19, 99, 24, 104)(22, 102, 39, 119)(27, 107, 44, 124)(29, 109, 47, 127)(31, 111, 41, 121)(32, 112, 40, 120)(33, 113, 49, 129)(34, 114, 46, 126)(36, 116, 52, 132)(37, 117, 43, 123)(38, 118, 55, 135)(42, 122, 57, 137)(45, 125, 60, 140)(48, 128, 63, 143)(50, 130, 65, 145)(51, 131, 62, 142)(53, 133, 68, 148)(54, 134, 59, 139)(56, 136, 70, 150)(58, 138, 72, 152)(61, 141, 75, 155)(64, 144, 77, 157)(66, 146, 76, 156)(67, 147, 74, 154)(69, 149, 73, 153)(71, 151, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243, 172, 252, 165, 245)(162, 242, 167, 247, 181, 261, 169, 249)(164, 244, 174, 254, 191, 271, 176, 256)(166, 246, 173, 253, 192, 272, 178, 258)(168, 248, 183, 263, 200, 280, 185, 265)(170, 250, 182, 262, 201, 281, 187, 267)(171, 251, 184, 264, 177, 257, 189, 269)(175, 255, 186, 266, 198, 278, 180, 260)(179, 259, 193, 273, 207, 287, 196, 276)(188, 268, 202, 282, 215, 295, 205, 285)(190, 270, 203, 283, 195, 275, 208, 288)(194, 274, 204, 284, 216, 296, 199, 279)(197, 277, 210, 290, 223, 303, 213, 293)(206, 286, 218, 298, 230, 310, 221, 301)(209, 289, 219, 299, 212, 292, 224, 304)(211, 291, 220, 300, 231, 311, 217, 297)(214, 294, 226, 306, 237, 317, 229, 309)(222, 302, 233, 313, 239, 319, 236, 316)(225, 305, 234, 314, 228, 308, 238, 318)(227, 307, 235, 315, 240, 320, 232, 312)
	L = (1, 164)(2, 168)(3, 173)(4, 175)(5, 178)(6, 161)(7, 182)(8, 184)(9, 187)(10, 162)(11, 185)(12, 191)(13, 193)(14, 163)(15, 194)(16, 165)(17, 183)(18, 196)(19, 166)(20, 176)(21, 200)(22, 202)(23, 167)(24, 203)(25, 169)(26, 174)(27, 205)(28, 170)(29, 208)(30, 171)(31, 198)(32, 172)(33, 210)(34, 211)(35, 177)(36, 213)(37, 179)(38, 216)(39, 180)(40, 189)(41, 181)(42, 218)(43, 219)(44, 186)(45, 221)(46, 188)(47, 192)(48, 224)(49, 190)(50, 226)(51, 227)(52, 195)(53, 229)(54, 197)(55, 201)(56, 231)(57, 199)(58, 233)(59, 234)(60, 204)(61, 236)(62, 206)(63, 207)(64, 238)(65, 209)(66, 235)(67, 214)(68, 212)(69, 232)(70, 215)(71, 240)(72, 217)(73, 228)(74, 222)(75, 220)(76, 225)(77, 223)(78, 239)(79, 230)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 60 e = 160 f = 60
	degree seq :: [ 4^40, 8^20 ]

E21.2192 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C2 x (C5 : C8) (small group id <80, 32>)
Aut   = C2 x (C5 : C8) (small group id <80, 32>)
|r| :: 1
Presentation :: [ X1^4, X1^-1 * X2^-1 * X1^2 * X2 * X1^-1, X2^-1 * X1^-2 * X2^-3, X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1, X2^2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^2 * X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 17, 11)(5, 14, 18, 15)(7, 19, 12, 21)(8, 22, 13, 23)(10, 27, 16, 28)(20, 37, 24, 38)(25, 44, 29, 42)(26, 46, 30, 47)(31, 53, 33, 55)(32, 39, 34, 35)(36, 58, 40, 59)(41, 65, 43, 67)(45, 69, 48, 70)(49, 61, 51, 63)(50, 71, 52, 72)(54, 66, 56, 68)(57, 73, 60, 74)(62, 75, 64, 76)(77, 79, 78, 80)(81, 83, 90, 98, 86, 97, 96, 85)(82, 87, 100, 93, 84, 92, 104, 88)(89, 105, 125, 110, 91, 109, 128, 106)(94, 111, 134, 114, 95, 113, 136, 112)(99, 115, 137, 120, 101, 119, 140, 116)(102, 121, 146, 124, 103, 123, 148, 122)(107, 129, 138, 132, 108, 131, 139, 130)(117, 141, 127, 144, 118, 143, 126, 142)(133, 151, 157, 149, 135, 152, 158, 150)(145, 155, 159, 153, 147, 156, 160, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E21.2193
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.2193 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C2 x (C5 : C8) (small group id <80, 32>)
Aut   = C2 x (C5 : C8) (small group id <80, 32>)
|r| :: 1
Presentation :: [ X1 * X2^-3 * X1 * X2, X2 * X1 * X2 * X1^-3, X1^-4 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X1 * X2^2 * X1^-2 * X2^-1 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82, 6, 86, 18, 98, 42, 122, 35, 115, 13, 93, 4, 84)(3, 83, 9, 89, 27, 107, 57, 137, 37, 117, 14, 94, 32, 112, 11, 91)(5, 85, 15, 95, 23, 103, 7, 87, 21, 101, 49, 129, 40, 120, 16, 96)(8, 88, 24, 104, 46, 126, 19, 99, 44, 124, 68, 148, 55, 135, 25, 105)(10, 90, 29, 109, 60, 140, 41, 121, 17, 97, 33, 113, 62, 142, 30, 110)(12, 92, 20, 100, 47, 127, 67, 147, 43, 123, 36, 116, 64, 144, 34, 114)(22, 102, 50, 130, 73, 153, 56, 136, 26, 106, 53, 133, 31, 111, 51, 131)(28, 108, 59, 139, 71, 151, 58, 138, 38, 118, 65, 145, 76, 156, 54, 134)(39, 119, 48, 128, 72, 152, 52, 132, 70, 150, 45, 125, 69, 149, 66, 146)(61, 141, 74, 154, 79, 159, 78, 158, 63, 143, 75, 155, 80, 160, 77, 157)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 99)(7, 102)(8, 82)(9, 98)(10, 101)(11, 111)(12, 108)(13, 105)(14, 84)(15, 110)(16, 106)(17, 85)(18, 123)(19, 125)(20, 86)(21, 122)(22, 124)(23, 132)(24, 131)(25, 128)(26, 88)(27, 138)(28, 89)(29, 137)(30, 127)(31, 141)(32, 134)(33, 91)(34, 142)(35, 96)(36, 93)(37, 97)(38, 94)(39, 95)(40, 146)(41, 144)(42, 117)(43, 118)(44, 115)(45, 116)(46, 151)(47, 150)(48, 100)(49, 121)(50, 120)(51, 107)(52, 154)(53, 103)(54, 104)(55, 156)(56, 112)(57, 153)(58, 148)(59, 147)(60, 158)(61, 109)(62, 157)(63, 113)(64, 119)(65, 114)(66, 155)(67, 140)(68, 136)(69, 135)(70, 129)(71, 159)(72, 126)(73, 143)(74, 130)(75, 133)(76, 160)(77, 139)(78, 145)(79, 149)(80, 152)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E21.2192
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 16^10 ]

E21.2194 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C5 : C8) : C2 (small group id <80, 33>)
Aut   = (C5 : C8) : C2 (small group id <80, 33>)
|r| :: 1
Presentation :: [ X1^4, X2^-2 * X1^2 * X2^-2, X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-2 * X1^-1 * X2^-2, X1 * X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 17, 11)(5, 14, 18, 15)(7, 19, 12, 21)(8, 22, 13, 23)(10, 27, 16, 28)(20, 37, 24, 38)(25, 44, 29, 42)(26, 46, 30, 47)(31, 53, 33, 55)(32, 39, 34, 35)(36, 58, 40, 59)(41, 65, 43, 67)(45, 69, 48, 70)(49, 63, 51, 61)(50, 71, 52, 72)(54, 68, 56, 66)(57, 73, 60, 74)(62, 75, 64, 76)(77, 79, 78, 80)(81, 83, 90, 98, 86, 97, 96, 85)(82, 87, 100, 93, 84, 92, 104, 88)(89, 105, 125, 110, 91, 109, 128, 106)(94, 111, 134, 114, 95, 113, 136, 112)(99, 115, 137, 120, 101, 119, 140, 116)(102, 121, 146, 124, 103, 123, 148, 122)(107, 129, 139, 132, 108, 131, 138, 130)(117, 141, 126, 144, 118, 143, 127, 142)(133, 151, 158, 150, 135, 152, 157, 149)(145, 155, 160, 154, 147, 156, 159, 153)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E21.2195
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 80 f = 10
	degree seq :: [ 4^20, 8^10 ]

E21.2195 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C5 : C8) : C2 (small group id <80, 33>)
Aut   = (C5 : C8) : C2 (small group id <80, 33>)
|r| :: 1
Presentation :: [ X2^-1 * X1 * X2 * X1 * X2^-2, X1^2 * X2^-1 * X1^-1 * X2^-1 * X1, X1 * X2^2 * X1^-1 * X2 * X1^2 * X2^-1, X2 * X1 * X2^2 * X1 * X2 * X1^2, X1^8 ]
Map:: non-degenerate
	R = (1, 81, 2, 82, 6, 86, 18, 98, 42, 122, 35, 115, 13, 93, 4, 84)(3, 83, 9, 89, 27, 107, 57, 137, 37, 117, 14, 94, 32, 112, 11, 91)(5, 85, 15, 95, 23, 103, 7, 87, 21, 101, 49, 129, 40, 120, 16, 96)(8, 88, 24, 104, 46, 126, 19, 99, 44, 124, 68, 148, 55, 135, 25, 105)(10, 90, 29, 109, 60, 140, 41, 121, 17, 97, 33, 113, 63, 143, 30, 110)(12, 92, 20, 100, 47, 127, 67, 147, 43, 123, 36, 116, 62, 142, 34, 114)(22, 102, 50, 130, 31, 111, 56, 136, 26, 106, 53, 133, 74, 154, 51, 131)(28, 108, 58, 138, 76, 156, 54, 134, 38, 118, 65, 145, 70, 150, 59, 139)(39, 119, 45, 125, 69, 149, 52, 132, 72, 152, 48, 128, 71, 151, 66, 146)(61, 141, 75, 155, 79, 159, 77, 157, 64, 144, 73, 153, 80, 160, 78, 158)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 99)(7, 102)(8, 82)(9, 98)(10, 101)(11, 111)(12, 108)(13, 105)(14, 84)(15, 110)(16, 106)(17, 85)(18, 123)(19, 125)(20, 86)(21, 122)(22, 124)(23, 132)(24, 131)(25, 128)(26, 88)(27, 134)(28, 89)(29, 137)(30, 142)(31, 141)(32, 139)(33, 91)(34, 140)(35, 96)(36, 93)(37, 97)(38, 94)(39, 95)(40, 146)(41, 127)(42, 117)(43, 118)(44, 115)(45, 116)(46, 150)(47, 119)(48, 100)(49, 121)(50, 120)(51, 112)(52, 153)(53, 103)(54, 104)(55, 156)(56, 107)(57, 154)(58, 147)(59, 148)(60, 157)(61, 109)(62, 152)(63, 158)(64, 113)(65, 114)(66, 155)(67, 143)(68, 136)(69, 135)(70, 159)(71, 126)(72, 129)(73, 130)(74, 144)(75, 133)(76, 160)(77, 138)(78, 145)(79, 149)(80, 151)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E21.2194
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 80 f = 30
	degree seq :: [ 16^10 ]

E21.2196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 42})
Quotient :: dipole
Aut^+ = D84 (small group id <84, 14>)
Aut   = C2 x C2 x D42 (small group id <168, 56>)
|r| :: 2
Presentation :: [ Y1^2, 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 ]
Map:: non-degenerate
	R = (1, 85, 2, 86)(3, 87, 5, 89)(4, 88, 8, 92)(6, 90, 10, 94)(7, 91, 11, 95)(9, 93, 13, 97)(12, 96, 16, 100)(14, 98, 18, 102)(15, 99, 19, 103)(17, 101, 21, 105)(20, 104, 24, 108)(22, 106, 26, 110)(23, 107, 27, 111)(25, 109, 29, 113)(28, 112, 32, 116)(30, 114, 35, 119)(31, 115, 33, 117)(34, 118, 47, 131)(36, 120, 51, 135)(37, 121, 53, 137)(38, 122, 49, 133)(39, 123, 55, 139)(40, 124, 57, 141)(41, 125, 59, 143)(42, 126, 61, 145)(43, 127, 63, 147)(44, 128, 65, 149)(45, 129, 67, 151)(46, 130, 69, 153)(48, 132, 71, 155)(50, 134, 73, 157)(52, 136, 77, 161)(54, 138, 79, 163)(56, 140, 75, 159)(58, 142, 83, 167)(60, 144, 84, 168)(62, 146, 81, 165)(64, 148, 82, 166)(66, 150, 80, 164)(68, 152, 78, 162)(70, 154, 76, 160)(72, 156, 74, 158)(169, 253, 171, 255)(170, 254, 173, 257)(172, 256, 175, 259)(174, 258, 177, 261)(176, 260, 179, 263)(178, 262, 181, 265)(180, 264, 183, 267)(182, 266, 185, 269)(184, 268, 187, 271)(186, 270, 189, 273)(188, 272, 191, 275)(190, 274, 193, 277)(192, 276, 195, 279)(194, 278, 197, 281)(196, 280, 199, 283)(198, 282, 215, 299)(200, 284, 201, 285)(202, 286, 203, 287)(204, 288, 206, 290)(205, 289, 207, 291)(208, 292, 210, 294)(209, 293, 211, 295)(212, 296, 214, 298)(213, 297, 216, 300)(217, 301, 219, 303)(218, 302, 220, 304)(221, 305, 223, 307)(222, 306, 224, 308)(225, 309, 229, 313)(226, 310, 230, 314)(227, 311, 231, 315)(228, 312, 232, 316)(233, 317, 237, 321)(234, 318, 238, 322)(235, 319, 239, 323)(236, 320, 240, 324)(241, 325, 245, 329)(242, 326, 246, 330)(243, 327, 247, 331)(244, 328, 248, 332)(249, 333, 251, 335)(250, 334, 252, 336)
	L = (1, 172)(2, 174)(3, 175)(4, 169)(5, 177)(6, 170)(7, 171)(8, 180)(9, 173)(10, 182)(11, 183)(12, 176)(13, 185)(14, 178)(15, 179)(16, 188)(17, 181)(18, 190)(19, 191)(20, 184)(21, 193)(22, 186)(23, 187)(24, 196)(25, 189)(26, 198)(27, 199)(28, 192)(29, 215)(30, 194)(31, 195)(32, 217)(33, 219)(34, 221)(35, 223)(36, 225)(37, 227)(38, 229)(39, 231)(40, 233)(41, 235)(42, 237)(43, 239)(44, 241)(45, 243)(46, 245)(47, 197)(48, 247)(49, 200)(50, 249)(51, 201)(52, 251)(53, 202)(54, 252)(55, 203)(56, 250)(57, 204)(58, 248)(59, 205)(60, 246)(61, 206)(62, 244)(63, 207)(64, 242)(65, 208)(66, 240)(67, 209)(68, 238)(69, 210)(70, 236)(71, 211)(72, 234)(73, 212)(74, 232)(75, 213)(76, 230)(77, 214)(78, 228)(79, 216)(80, 226)(81, 218)(82, 224)(83, 220)(84, 222)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E21.2197
Graph:: simple bipartite
	v = 84 e = 168 f = 44
	degree seq :: [ 4^84 ]

E21.2197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 42})
Quotient :: dipole
Aut^+ = D84 (small group id <84, 14>)
Aut   = C2 x C2 x D42 (small group id <168, 56>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^11 * Y3 * Y1^-10 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1^9 * Y3 * Y2 * Y1^9 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 13, 97, 21, 105, 29, 113, 37, 121, 45, 129, 53, 137, 61, 145, 69, 153, 77, 161, 82, 166, 74, 158, 66, 150, 58, 142, 50, 134, 42, 126, 34, 118, 26, 110, 18, 102, 10, 94, 16, 100, 24, 108, 32, 116, 40, 124, 48, 132, 56, 140, 64, 148, 72, 156, 80, 164, 84, 168, 76, 160, 68, 152, 60, 144, 52, 136, 44, 128, 36, 120, 28, 112, 20, 104, 12, 96, 5, 89)(3, 87, 9, 93, 17, 101, 25, 109, 33, 117, 41, 125, 49, 133, 57, 141, 65, 149, 73, 157, 81, 165, 79, 163, 71, 155, 63, 147, 55, 139, 47, 131, 39, 123, 31, 115, 23, 107, 15, 99, 8, 92, 4, 88, 11, 95, 19, 103, 27, 111, 35, 119, 43, 127, 51, 135, 59, 143, 67, 151, 75, 159, 83, 167, 78, 162, 70, 154, 62, 146, 54, 138, 46, 130, 38, 122, 30, 114, 22, 106, 14, 98, 7, 91)(169, 253, 171, 255)(170, 254, 175, 259)(172, 256, 178, 262)(173, 257, 177, 261)(174, 258, 182, 266)(176, 260, 184, 268)(179, 263, 186, 270)(180, 264, 185, 269)(181, 265, 190, 274)(183, 267, 192, 276)(187, 271, 194, 278)(188, 272, 193, 277)(189, 273, 198, 282)(191, 275, 200, 284)(195, 279, 202, 286)(196, 280, 201, 285)(197, 281, 206, 290)(199, 283, 208, 292)(203, 287, 210, 294)(204, 288, 209, 293)(205, 289, 214, 298)(207, 291, 216, 300)(211, 295, 218, 302)(212, 296, 217, 301)(213, 297, 222, 306)(215, 299, 224, 308)(219, 303, 226, 310)(220, 304, 225, 309)(221, 305, 230, 314)(223, 307, 232, 316)(227, 311, 234, 318)(228, 312, 233, 317)(229, 313, 238, 322)(231, 315, 240, 324)(235, 319, 242, 326)(236, 320, 241, 325)(237, 321, 246, 330)(239, 323, 248, 332)(243, 327, 250, 334)(244, 328, 249, 333)(245, 329, 251, 335)(247, 331, 252, 336)
	L = (1, 172)(2, 176)(3, 178)(4, 169)(5, 179)(6, 183)(7, 184)(8, 170)(9, 186)(10, 171)(11, 173)(12, 187)(13, 191)(14, 192)(15, 174)(16, 175)(17, 194)(18, 177)(19, 180)(20, 195)(21, 199)(22, 200)(23, 181)(24, 182)(25, 202)(26, 185)(27, 188)(28, 203)(29, 207)(30, 208)(31, 189)(32, 190)(33, 210)(34, 193)(35, 196)(36, 211)(37, 215)(38, 216)(39, 197)(40, 198)(41, 218)(42, 201)(43, 204)(44, 219)(45, 223)(46, 224)(47, 205)(48, 206)(49, 226)(50, 209)(51, 212)(52, 227)(53, 231)(54, 232)(55, 213)(56, 214)(57, 234)(58, 217)(59, 220)(60, 235)(61, 239)(62, 240)(63, 221)(64, 222)(65, 242)(66, 225)(67, 228)(68, 243)(69, 247)(70, 248)(71, 229)(72, 230)(73, 250)(74, 233)(75, 236)(76, 251)(77, 249)(78, 252)(79, 237)(80, 238)(81, 245)(82, 241)(83, 244)(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) :: { ( 4^4 ), ( 4^84 ) }
Outer automorphisms :: reflexible
Dual of E21.2196
Graph:: bipartite
	v = 44 e = 168 f = 84
	degree seq :: [ 4^42, 84^2 ]

E21.2198 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 42})
Quotient :: edge
Aut^+ = C21 : C4 (small group id <84, 5>)
Aut   = (C42 x C2) : C2 (small group id <168, 38>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1 * T2^-1, T1^-2 * T2^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(85, 86, 90, 88)(87, 92, 97, 94)(89, 91, 98, 95)(93, 100, 105, 102)(96, 99, 106, 103)(101, 108, 113, 110)(104, 107, 114, 111)(109, 116, 121, 118)(112, 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, 168, 166)(160, 163, 165, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^4 ), ( 8^42 ) }
Outer automorphisms :: reflexible
Dual of E21.2199
Transitivity :: ET+
Graph:: bipartite
	v = 23 e = 84 f = 21
	degree seq :: [ 4^21, 42^2 ]

E21.2199 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 42})
Quotient :: loop
Aut^+ = C21 : C4 (small group id <84, 5>)
Aut   = (C42 x C2) : C2 (small group id <168, 38>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^2, T2^4, (F * T2)^2, T2^-1 * T1^2 * T2^-1, (F * 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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 85, 3, 87, 6, 90, 5, 89)(2, 86, 7, 91, 4, 88, 8, 92)(9, 93, 13, 97, 10, 94, 14, 98)(11, 95, 15, 99, 12, 96, 16, 100)(17, 101, 21, 105, 18, 102, 22, 106)(19, 103, 23, 107, 20, 104, 24, 108)(25, 109, 29, 113, 26, 110, 30, 114)(27, 111, 31, 115, 28, 112, 32, 116)(33, 117, 53, 137, 34, 118, 55, 139)(35, 119, 57, 141, 40, 124, 59, 143)(36, 120, 61, 145, 38, 122, 64, 148)(37, 121, 60, 144, 39, 123, 63, 147)(41, 125, 69, 153, 42, 126, 71, 155)(43, 127, 73, 157, 44, 128, 75, 159)(45, 129, 77, 161, 46, 130, 79, 163)(47, 131, 81, 165, 48, 132, 83, 167)(49, 133, 84, 168, 50, 134, 82, 166)(51, 135, 78, 162, 52, 136, 80, 164)(54, 138, 76, 160, 56, 140, 74, 158)(58, 142, 62, 146, 68, 152, 66, 150)(65, 149, 70, 154, 67, 151, 72, 156)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 94)(6, 88)(7, 95)(8, 96)(9, 89)(10, 87)(11, 92)(12, 91)(13, 101)(14, 102)(15, 103)(16, 104)(17, 98)(18, 97)(19, 100)(20, 99)(21, 109)(22, 110)(23, 111)(24, 112)(25, 106)(26, 105)(27, 108)(28, 107)(29, 117)(30, 118)(31, 121)(32, 123)(33, 114)(34, 113)(35, 137)(36, 144)(37, 116)(38, 147)(39, 115)(40, 139)(41, 143)(42, 141)(43, 148)(44, 145)(45, 155)(46, 153)(47, 159)(48, 157)(49, 163)(50, 161)(51, 167)(52, 165)(53, 124)(54, 166)(55, 119)(56, 168)(57, 125)(58, 160)(59, 126)(60, 122)(61, 127)(62, 154)(63, 120)(64, 128)(65, 164)(66, 156)(67, 162)(68, 158)(69, 129)(70, 150)(71, 130)(72, 146)(73, 131)(74, 142)(75, 132)(76, 152)(77, 133)(78, 149)(79, 134)(80, 151)(81, 135)(82, 140)(83, 136)(84, 138)
	local type(s) :: { ( 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E21.2198
Transitivity :: ET+ VT+ AT
Graph::
	v = 21 e = 84 f = 23
	degree seq :: [ 8^21 ]

E21.2200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 42})
Quotient :: dipole
Aut^+ = C21 : C4 (small group id <84, 5>)
Aut   = (C42 x C2) : C2 (small group id <168, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y1^-2 * Y2^21 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 4, 88)(3, 87, 8, 92, 13, 97, 10, 94)(5, 89, 7, 91, 14, 98, 11, 95)(9, 93, 16, 100, 21, 105, 18, 102)(12, 96, 15, 99, 22, 106, 19, 103)(17, 101, 24, 108, 29, 113, 26, 110)(20, 104, 23, 107, 30, 114, 27, 111)(25, 109, 32, 116, 37, 121, 34, 118)(28, 112, 31, 115, 38, 122, 35, 119)(33, 117, 40, 124, 45, 129, 42, 126)(36, 120, 39, 123, 46, 130, 43, 127)(41, 125, 48, 132, 53, 137, 50, 134)(44, 128, 47, 131, 54, 138, 51, 135)(49, 133, 56, 140, 61, 145, 58, 142)(52, 136, 55, 139, 62, 146, 59, 143)(57, 141, 64, 148, 69, 153, 66, 150)(60, 144, 63, 147, 70, 154, 67, 151)(65, 149, 72, 156, 77, 161, 74, 158)(68, 152, 71, 155, 78, 162, 75, 159)(73, 157, 80, 164, 84, 168, 82, 166)(76, 160, 79, 163, 81, 165, 83, 167)(169, 253, 171, 255, 177, 261, 185, 269, 193, 277, 201, 285, 209, 293, 217, 301, 225, 309, 233, 317, 241, 325, 249, 333, 246, 330, 238, 322, 230, 314, 222, 306, 214, 298, 206, 290, 198, 282, 190, 274, 182, 266, 174, 258, 181, 265, 189, 273, 197, 281, 205, 289, 213, 297, 221, 305, 229, 313, 237, 321, 245, 329, 252, 336, 244, 328, 236, 320, 228, 312, 220, 304, 212, 296, 204, 288, 196, 280, 188, 272, 180, 264, 173, 257)(170, 254, 175, 259, 183, 267, 191, 275, 199, 283, 207, 291, 215, 299, 223, 307, 231, 315, 239, 323, 247, 331, 250, 334, 242, 326, 234, 318, 226, 310, 218, 302, 210, 294, 202, 286, 194, 278, 186, 270, 178, 262, 172, 256, 179, 263, 187, 271, 195, 279, 203, 287, 211, 295, 219, 303, 227, 311, 235, 319, 243, 327, 251, 335, 248, 332, 240, 324, 232, 316, 224, 308, 216, 300, 208, 292, 200, 284, 192, 276, 184, 268, 176, 260)
	L = (1, 171)(2, 175)(3, 177)(4, 179)(5, 169)(6, 181)(7, 183)(8, 170)(9, 185)(10, 172)(11, 187)(12, 173)(13, 189)(14, 174)(15, 191)(16, 176)(17, 193)(18, 178)(19, 195)(20, 180)(21, 197)(22, 182)(23, 199)(24, 184)(25, 201)(26, 186)(27, 203)(28, 188)(29, 205)(30, 190)(31, 207)(32, 192)(33, 209)(34, 194)(35, 211)(36, 196)(37, 213)(38, 198)(39, 215)(40, 200)(41, 217)(42, 202)(43, 219)(44, 204)(45, 221)(46, 206)(47, 223)(48, 208)(49, 225)(50, 210)(51, 227)(52, 212)(53, 229)(54, 214)(55, 231)(56, 216)(57, 233)(58, 218)(59, 235)(60, 220)(61, 237)(62, 222)(63, 239)(64, 224)(65, 241)(66, 226)(67, 243)(68, 228)(69, 245)(70, 230)(71, 247)(72, 232)(73, 249)(74, 234)(75, 251)(76, 236)(77, 252)(78, 238)(79, 250)(80, 240)(81, 246)(82, 242)(83, 248)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E21.2201
Graph:: bipartite
	v = 23 e = 168 f = 105
	degree seq :: [ 8^21, 84^2 ]

E21.2201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 42})
Quotient :: dipole
Aut^+ = C21 : C4 (small group id <84, 5>)
Aut   = (C42 x C2) : C2 (small group id <168, 38>)
|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, Y2^-2 * Y3^21, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)(169, 253, 170, 254, 174, 258, 172, 256)(171, 255, 176, 260, 181, 265, 178, 262)(173, 257, 175, 259, 182, 266, 179, 263)(177, 261, 184, 268, 189, 273, 186, 270)(180, 264, 183, 267, 190, 274, 187, 271)(185, 269, 192, 276, 197, 281, 194, 278)(188, 272, 191, 275, 198, 282, 195, 279)(193, 277, 200, 284, 205, 289, 202, 286)(196, 280, 199, 283, 206, 290, 203, 287)(201, 285, 208, 292, 213, 297, 210, 294)(204, 288, 207, 291, 214, 298, 211, 295)(209, 293, 216, 300, 221, 305, 218, 302)(212, 296, 215, 299, 222, 306, 219, 303)(217, 301, 224, 308, 229, 313, 226, 310)(220, 304, 223, 307, 230, 314, 227, 311)(225, 309, 232, 316, 237, 321, 234, 318)(228, 312, 231, 315, 238, 322, 235, 319)(233, 317, 240, 324, 245, 329, 242, 326)(236, 320, 239, 323, 246, 330, 243, 327)(241, 325, 248, 332, 252, 336, 250, 334)(244, 328, 247, 331, 249, 333, 251, 335)
	L = (1, 171)(2, 175)(3, 177)(4, 179)(5, 169)(6, 181)(7, 183)(8, 170)(9, 185)(10, 172)(11, 187)(12, 173)(13, 189)(14, 174)(15, 191)(16, 176)(17, 193)(18, 178)(19, 195)(20, 180)(21, 197)(22, 182)(23, 199)(24, 184)(25, 201)(26, 186)(27, 203)(28, 188)(29, 205)(30, 190)(31, 207)(32, 192)(33, 209)(34, 194)(35, 211)(36, 196)(37, 213)(38, 198)(39, 215)(40, 200)(41, 217)(42, 202)(43, 219)(44, 204)(45, 221)(46, 206)(47, 223)(48, 208)(49, 225)(50, 210)(51, 227)(52, 212)(53, 229)(54, 214)(55, 231)(56, 216)(57, 233)(58, 218)(59, 235)(60, 220)(61, 237)(62, 222)(63, 239)(64, 224)(65, 241)(66, 226)(67, 243)(68, 228)(69, 245)(70, 230)(71, 247)(72, 232)(73, 249)(74, 234)(75, 251)(76, 236)(77, 252)(78, 238)(79, 250)(80, 240)(81, 246)(82, 242)(83, 248)(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) :: { ( 8, 84 ), ( 8, 84, 8, 84, 8, 84, 8, 84 ) }
Outer automorphisms :: reflexible
Dual of E21.2200
Graph:: simple bipartite
	v = 105 e = 168 f = 23
	degree seq :: [ 2^84, 8^21 ]

E21.2202 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 84, 84})
Quotient :: regular
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^42 ]
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, 71, 72, 74, 77, 79, 81, 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, 76, 73, 75, 78, 80, 82, 83, 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, 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, 76)(70, 84)(71, 73)(72, 75)(74, 78)(77, 80)(79, 82)(81, 83)
	local type(s) :: { ( 84^84 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 42 f = 1
	degree seq :: [ 84 ]

E21.2203 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 84, 84})
Quotient :: edge
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^42 * 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, 71, 73, 75, 77, 79, 81, 84, 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, 67, 72, 74, 76, 78, 80, 82, 83, 32, 28, 24, 20, 16, 12, 8, 4)(85, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 133)(118, 119)(120, 121)(122, 123)(124, 125)(126, 127)(128, 129)(130, 131)(132, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 144)(145, 146)(147, 148)(149, 152)(150, 167)(151, 155)(153, 154)(156, 157)(158, 159)(160, 161)(162, 163)(164, 165)(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) :: { ( 168, 168 ), ( 168^84 ) }
Outer automorphisms :: reflexible
Dual of E21.2204
Transitivity :: ET+
Graph:: bipartite
	v = 43 e = 84 f = 1
	degree seq :: [ 2^42, 84 ]

E21.2204 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 84, 84})
Quotient :: loop
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^42 * T1 ]
Map::
	R = (1, 85, 3, 87, 7, 91, 11, 95, 15, 99, 19, 103, 23, 107, 27, 111, 31, 115, 35, 119, 37, 121, 39, 123, 41, 125, 43, 127, 45, 129, 47, 131, 50, 134, 51, 135, 53, 137, 55, 139, 57, 141, 59, 143, 61, 145, 63, 147, 65, 149, 70, 154, 71, 155, 73, 157, 75, 159, 77, 161, 79, 163, 81, 165, 84, 168, 66, 150, 49, 133, 30, 114, 26, 110, 22, 106, 18, 102, 14, 98, 10, 94, 6, 90, 2, 86, 5, 89, 9, 93, 13, 97, 17, 101, 21, 105, 25, 109, 29, 113, 33, 117, 34, 118, 36, 120, 38, 122, 40, 124, 42, 126, 44, 128, 46, 130, 48, 132, 52, 136, 54, 138, 56, 140, 58, 142, 60, 144, 62, 146, 64, 148, 68, 152, 69, 153, 67, 151, 72, 156, 74, 158, 76, 160, 78, 162, 80, 164, 82, 166, 83, 167, 32, 116, 28, 112, 24, 108, 20, 104, 16, 100, 12, 96, 8, 92, 4, 88)
	L = (1, 86)(2, 85)(3, 89)(4, 90)(5, 87)(6, 88)(7, 93)(8, 94)(9, 91)(10, 92)(11, 97)(12, 98)(13, 95)(14, 96)(15, 101)(16, 102)(17, 99)(18, 100)(19, 105)(20, 106)(21, 103)(22, 104)(23, 109)(24, 110)(25, 107)(26, 108)(27, 113)(28, 114)(29, 111)(30, 112)(31, 117)(32, 133)(33, 115)(34, 119)(35, 118)(36, 121)(37, 120)(38, 123)(39, 122)(40, 125)(41, 124)(42, 127)(43, 126)(44, 129)(45, 128)(46, 131)(47, 130)(48, 134)(49, 116)(50, 132)(51, 136)(52, 135)(53, 138)(54, 137)(55, 140)(56, 139)(57, 142)(58, 141)(59, 144)(60, 143)(61, 146)(62, 145)(63, 148)(64, 147)(65, 152)(66, 167)(67, 155)(68, 149)(69, 154)(70, 153)(71, 151)(72, 157)(73, 156)(74, 159)(75, 158)(76, 161)(77, 160)(78, 163)(79, 162)(80, 165)(81, 164)(82, 168)(83, 150)(84, 166)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E21.2203
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 84 f = 43
	degree seq :: [ 168 ]

E21.2205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 84, 84})
Quotient :: dipole
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|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, Y2^42 * Y1, (Y3 * Y2^-1)^84 ]
Map::
	R = (1, 85, 2, 86)(3, 87, 5, 89)(4, 88, 6, 90)(7, 91, 9, 93)(8, 92, 10, 94)(11, 95, 13, 97)(12, 96, 14, 98)(15, 99, 17, 101)(16, 100, 18, 102)(19, 103, 21, 105)(20, 104, 22, 106)(23, 107, 25, 109)(24, 108, 26, 110)(27, 111, 29, 113)(28, 112, 30, 114)(31, 115, 33, 117)(32, 116, 49, 133)(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, 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, 68, 152)(66, 150, 83, 167)(67, 151, 71, 155)(69, 153, 70, 154)(72, 156, 73, 157)(74, 158, 75, 159)(76, 160, 77, 161)(78, 162, 79, 163)(80, 164, 81, 165)(82, 166, 84, 168)(169, 253, 171, 255, 175, 259, 179, 263, 183, 267, 187, 271, 191, 275, 195, 279, 199, 283, 203, 287, 205, 289, 207, 291, 209, 293, 211, 295, 213, 297, 215, 299, 218, 302, 219, 303, 221, 305, 223, 307, 225, 309, 227, 311, 229, 313, 231, 315, 233, 317, 238, 322, 239, 323, 241, 325, 243, 327, 245, 329, 247, 331, 249, 333, 252, 336, 234, 318, 217, 301, 198, 282, 194, 278, 190, 274, 186, 270, 182, 266, 178, 262, 174, 258, 170, 254, 173, 257, 177, 261, 181, 265, 185, 269, 189, 273, 193, 277, 197, 281, 201, 285, 202, 286, 204, 288, 206, 290, 208, 292, 210, 294, 212, 296, 214, 298, 216, 300, 220, 304, 222, 306, 224, 308, 226, 310, 228, 312, 230, 314, 232, 316, 236, 320, 237, 321, 235, 319, 240, 324, 242, 326, 244, 328, 246, 330, 248, 332, 250, 334, 251, 335, 200, 284, 196, 280, 192, 276, 188, 272, 184, 268, 180, 264, 176, 260, 172, 256)
	L = (1, 170)(2, 169)(3, 173)(4, 174)(5, 171)(6, 172)(7, 177)(8, 178)(9, 175)(10, 176)(11, 181)(12, 182)(13, 179)(14, 180)(15, 185)(16, 186)(17, 183)(18, 184)(19, 189)(20, 190)(21, 187)(22, 188)(23, 193)(24, 194)(25, 191)(26, 192)(27, 197)(28, 198)(29, 195)(30, 196)(31, 201)(32, 217)(33, 199)(34, 203)(35, 202)(36, 205)(37, 204)(38, 207)(39, 206)(40, 209)(41, 208)(42, 211)(43, 210)(44, 213)(45, 212)(46, 215)(47, 214)(48, 218)(49, 200)(50, 216)(51, 220)(52, 219)(53, 222)(54, 221)(55, 224)(56, 223)(57, 226)(58, 225)(59, 228)(60, 227)(61, 230)(62, 229)(63, 232)(64, 231)(65, 236)(66, 251)(67, 239)(68, 233)(69, 238)(70, 237)(71, 235)(72, 241)(73, 240)(74, 243)(75, 242)(76, 245)(77, 244)(78, 247)(79, 246)(80, 249)(81, 248)(82, 252)(83, 234)(84, 250)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 168, 2, 168 ), ( 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168, 2, 168 ) }
Outer automorphisms :: reflexible
Dual of E21.2206
Graph:: bipartite
	v = 43 e = 168 f = 85
	degree seq :: [ 4^42, 168 ]

E21.2206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 84, 84})
Quotient :: dipole
Aut^+ = C84 (small group id <84, 6>)
Aut   = D168 (small group id <168, 36>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^42 ]
Map::
	R = (1, 85, 2, 86, 5, 89, 9, 93, 13, 97, 17, 101, 21, 105, 25, 109, 29, 113, 33, 117, 34, 118, 36, 120, 39, 123, 41, 125, 43, 127, 45, 129, 47, 131, 49, 133, 52, 136, 53, 137, 55, 139, 58, 142, 60, 144, 62, 146, 64, 148, 66, 150, 68, 152, 71, 155, 72, 156, 74, 158, 77, 161, 79, 163, 81, 165, 70, 154, 51, 135, 31, 115, 27, 111, 23, 107, 19, 103, 15, 99, 11, 95, 7, 91, 3, 87, 6, 90, 10, 94, 14, 98, 18, 102, 22, 106, 26, 110, 30, 114, 38, 122, 35, 119, 37, 121, 40, 124, 42, 126, 44, 128, 46, 130, 48, 132, 50, 134, 57, 141, 54, 138, 56, 140, 59, 143, 61, 145, 63, 147, 65, 149, 67, 151, 69, 153, 76, 160, 73, 157, 75, 159, 78, 162, 80, 164, 82, 166, 83, 167, 84, 168, 32, 116, 28, 112, 24, 108, 20, 104, 16, 100, 12, 96, 8, 92, 4, 88)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 174)(3, 169)(4, 175)(5, 178)(6, 170)(7, 172)(8, 179)(9, 182)(10, 173)(11, 176)(12, 183)(13, 186)(14, 177)(15, 180)(16, 187)(17, 190)(18, 181)(19, 184)(20, 191)(21, 194)(22, 185)(23, 188)(24, 195)(25, 198)(26, 189)(27, 192)(28, 199)(29, 206)(30, 193)(31, 196)(32, 219)(33, 203)(34, 205)(35, 201)(36, 208)(37, 202)(38, 197)(39, 210)(40, 204)(41, 212)(42, 207)(43, 214)(44, 209)(45, 216)(46, 211)(47, 218)(48, 213)(49, 225)(50, 215)(51, 200)(52, 222)(53, 224)(54, 220)(55, 227)(56, 221)(57, 217)(58, 229)(59, 223)(60, 231)(61, 226)(62, 233)(63, 228)(64, 235)(65, 230)(66, 237)(67, 232)(68, 244)(69, 234)(70, 252)(71, 241)(72, 243)(73, 239)(74, 246)(75, 240)(76, 236)(77, 248)(78, 242)(79, 250)(80, 245)(81, 251)(82, 247)(83, 249)(84, 238)(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, 168 ), ( 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168, 4, 168 ) }
Outer automorphisms :: reflexible
Dual of E21.2205
Graph:: bipartite
	v = 85 e = 168 f = 43
	degree seq :: [ 2^84, 168 ]

E21.2207 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 43, 86})
Quotient :: regular
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-43 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 48, 44, 40, 36, 33, 34, 37, 41, 45, 49, 52, 55, 57, 75, 71, 67, 63, 60, 61, 64, 68, 72, 76, 79, 82, 84, 59, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 54, 51, 47, 43, 39, 35, 38, 42, 46, 50, 53, 56, 58, 81, 78, 74, 70, 66, 62, 65, 69, 73, 77, 80, 83, 85, 86, 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, 54)(32, 59)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 53)(52, 56)(55, 58)(57, 81)(60, 62)(61, 65)(63, 66)(64, 69)(67, 70)(68, 73)(71, 74)(72, 77)(75, 78)(76, 80)(79, 83)(82, 85)(84, 86)
	local type(s) :: { ( 43^86 ) }
Outer automorphisms :: reflexible
Dual of E21.2208
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 43 f = 2
	degree seq :: [ 86 ]

E21.2208 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 43, 86})
Quotient :: regular
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^43 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 33, 34, 37, 40, 43, 45, 47, 49, 51, 57, 54, 55, 58, 61, 64, 66, 68, 70, 72, 78, 75, 76, 79, 82, 85, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 42, 39, 35, 38, 41, 44, 46, 48, 50, 52, 63, 60, 56, 59, 62, 65, 67, 69, 71, 73, 84, 81, 77, 80, 83, 86, 74, 53, 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, 42)(32, 53)(33, 35)(34, 38)(36, 39)(37, 41)(40, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 63)(54, 56)(55, 59)(57, 60)(58, 62)(61, 65)(64, 67)(66, 69)(68, 71)(70, 73)(72, 84)(74, 85)(75, 77)(76, 80)(78, 81)(79, 83)(82, 86)
	local type(s) :: { ( 86^43 ) }
Outer automorphisms :: reflexible
Dual of E21.2207
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 43 f = 1
	degree seq :: [ 43^2 ]

E21.2209 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 43, 86})
Quotient :: edge
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^43 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 46, 42, 38, 34, 37, 41, 45, 49, 51, 53, 55, 73, 69, 65, 61, 58, 60, 64, 68, 72, 75, 77, 79, 81, 85, 83, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 48, 44, 40, 36, 33, 35, 39, 43, 47, 50, 52, 54, 56, 71, 67, 63, 59, 62, 66, 70, 74, 76, 78, 80, 86, 84, 82, 57, 30, 26, 22, 18, 14, 10, 6)(87, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 99)(98, 100)(101, 103)(102, 104)(105, 107)(106, 108)(109, 111)(110, 112)(113, 115)(114, 116)(117, 134)(118, 143)(119, 120)(121, 123)(122, 124)(125, 127)(126, 128)(129, 131)(130, 132)(133, 135)(136, 137)(138, 139)(140, 141)(142, 159)(144, 145)(146, 148)(147, 149)(150, 152)(151, 153)(154, 156)(155, 157)(158, 160)(161, 162)(163, 164)(165, 166)(167, 172)(168, 169)(170, 171)
	L = (1, 87)(2, 88)(3, 89)(4, 90)(5, 91)(6, 92)(7, 93)(8, 94)(9, 95)(10, 96)(11, 97)(12, 98)(13, 99)(14, 100)(15, 101)(16, 102)(17, 103)(18, 104)(19, 105)(20, 106)(21, 107)(22, 108)(23, 109)(24, 110)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 118)(33, 119)(34, 120)(35, 121)(36, 122)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 129)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 172, 172 ), ( 172^43 ) }
Outer automorphisms :: reflexible
Dual of E21.2213
Transitivity :: ET+
Graph:: simple bipartite
	v = 45 e = 86 f = 1
	degree seq :: [ 2^43, 43^2 ]

E21.2210 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 43, 86})
Quotient :: edge
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^41, T2^-2 * T1^19 * T2^-22 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 63, 83, 80, 75, 72, 66, 71, 68, 74, 78, 82, 86, 61, 60, 57, 54, 49, 46, 40, 39, 35, 37, 43, 47, 51, 55, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 64, 84, 79, 76, 70, 69, 65, 67, 73, 77, 81, 85, 62, 59, 58, 53, 50, 45, 42, 36, 41, 38, 44, 48, 52, 56, 31, 28, 23, 20, 15, 12, 6, 5)(87, 88, 92, 97, 101, 105, 109, 113, 117, 141, 138, 133, 130, 123, 127, 125, 128, 132, 136, 140, 144, 146, 148, 172, 167, 164, 159, 154, 151, 152, 156, 161, 165, 169, 150, 119, 116, 111, 108, 103, 100, 95, 90)(89, 93, 91, 94, 98, 102, 106, 110, 114, 118, 142, 137, 134, 129, 124, 121, 122, 126, 131, 135, 139, 143, 145, 147, 171, 168, 163, 160, 153, 157, 155, 158, 162, 166, 170, 149, 120, 115, 112, 107, 104, 99, 96)
	L = (1, 87)(2, 88)(3, 89)(4, 90)(5, 91)(6, 92)(7, 93)(8, 94)(9, 95)(10, 96)(11, 97)(12, 98)(13, 99)(14, 100)(15, 101)(16, 102)(17, 103)(18, 104)(19, 105)(20, 106)(21, 107)(22, 108)(23, 109)(24, 110)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 118)(33, 119)(34, 120)(35, 121)(36, 122)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 129)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 4^43 ), ( 4^86 ) }
Outer automorphisms :: reflexible
Dual of E21.2214
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 86 f = 43
	degree seq :: [ 43^2, 86 ]

E21.2211 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 43, 86})
Quotient :: edge
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-43 ]
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, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 75)(74, 77)(76, 86)(78, 82)(79, 80)(81, 83)(84, 85)(87, 88, 91, 95, 99, 103, 107, 111, 115, 126, 122, 119, 120, 123, 127, 130, 133, 135, 137, 139, 149, 145, 142, 143, 146, 150, 153, 156, 158, 160, 162, 170, 167, 165, 164, 141, 117, 113, 109, 105, 101, 97, 93, 89, 92, 96, 100, 104, 108, 112, 116, 132, 129, 125, 121, 124, 128, 131, 134, 136, 138, 140, 155, 152, 148, 144, 147, 151, 154, 157, 159, 161, 163, 172, 171, 169, 166, 168, 118, 114, 110, 106, 102, 98, 94, 90)
	L = (1, 87)(2, 88)(3, 89)(4, 90)(5, 91)(6, 92)(7, 93)(8, 94)(9, 95)(10, 96)(11, 97)(12, 98)(13, 99)(14, 100)(15, 101)(16, 102)(17, 103)(18, 104)(19, 105)(20, 106)(21, 107)(22, 108)(23, 109)(24, 110)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 118)(33, 119)(34, 120)(35, 121)(36, 122)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 129)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)
	local type(s) :: { ( 86, 86 ), ( 86^86 ) }
Outer automorphisms :: reflexible
Dual of E21.2212
Transitivity :: ET+
Graph:: bipartite
	v = 44 e = 86 f = 2
	degree seq :: [ 2^43, 86 ]

E21.2212 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 43, 86})
Quotient :: loop
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^43 ]
Map::
	R = (1, 87, 3, 89, 7, 93, 11, 97, 15, 101, 19, 105, 23, 109, 27, 113, 31, 117, 38, 124, 34, 120, 37, 123, 41, 127, 43, 129, 45, 131, 47, 133, 49, 135, 51, 137, 61, 147, 57, 143, 54, 140, 56, 142, 60, 146, 63, 149, 65, 151, 67, 153, 69, 155, 71, 157, 73, 159, 80, 166, 76, 162, 79, 165, 83, 169, 85, 171, 86, 172, 32, 118, 28, 114, 24, 110, 20, 106, 16, 102, 12, 98, 8, 94, 4, 90)(2, 88, 5, 91, 9, 95, 13, 99, 17, 103, 21, 107, 25, 111, 29, 115, 40, 126, 36, 122, 33, 119, 35, 121, 39, 125, 42, 128, 44, 130, 46, 132, 48, 134, 50, 136, 52, 138, 59, 145, 55, 141, 58, 144, 62, 148, 64, 150, 66, 152, 68, 154, 70, 156, 72, 158, 82, 168, 78, 164, 75, 161, 77, 163, 81, 167, 84, 170, 74, 160, 53, 139, 30, 116, 26, 112, 22, 108, 18, 104, 14, 100, 10, 96, 6, 92)
	L = (1, 88)(2, 87)(3, 91)(4, 92)(5, 89)(6, 90)(7, 95)(8, 96)(9, 93)(10, 94)(11, 99)(12, 100)(13, 97)(14, 98)(15, 103)(16, 104)(17, 101)(18, 102)(19, 107)(20, 108)(21, 105)(22, 106)(23, 111)(24, 112)(25, 109)(26, 110)(27, 115)(28, 116)(29, 113)(30, 114)(31, 126)(32, 139)(33, 120)(34, 119)(35, 123)(36, 124)(37, 121)(38, 122)(39, 127)(40, 117)(41, 125)(42, 129)(43, 128)(44, 131)(45, 130)(46, 133)(47, 132)(48, 135)(49, 134)(50, 137)(51, 136)(52, 147)(53, 118)(54, 141)(55, 140)(56, 144)(57, 145)(58, 142)(59, 143)(60, 148)(61, 138)(62, 146)(63, 150)(64, 149)(65, 152)(66, 151)(67, 154)(68, 153)(69, 156)(70, 155)(71, 158)(72, 157)(73, 168)(74, 172)(75, 162)(76, 161)(77, 165)(78, 166)(79, 163)(80, 164)(81, 169)(82, 159)(83, 167)(84, 171)(85, 170)(86, 160)
	local type(s) :: { ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.2211
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 86 f = 44
	degree seq :: [ 86^2 ]

E21.2213 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 43, 86})
Quotient :: loop
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^41, T2^-2 * T1^19 * T2^-22 ]
Map::
	R = (1, 87, 3, 89, 9, 95, 13, 99, 17, 103, 21, 107, 25, 111, 29, 115, 33, 119, 57, 143, 81, 167, 84, 170, 86, 172, 80, 166, 77, 163, 76, 162, 73, 159, 72, 158, 69, 155, 66, 152, 60, 146, 65, 151, 62, 148, 68, 154, 56, 142, 53, 139, 52, 138, 49, 135, 48, 134, 45, 131, 42, 128, 36, 122, 41, 127, 38, 124, 44, 130, 32, 118, 27, 113, 24, 110, 19, 105, 16, 102, 11, 97, 8, 94, 2, 88, 7, 93, 4, 90, 10, 96, 14, 100, 18, 104, 22, 108, 26, 112, 30, 116, 34, 120, 58, 144, 82, 168, 83, 169, 85, 171, 79, 165, 78, 164, 75, 161, 74, 160, 71, 157, 70, 156, 64, 150, 63, 149, 59, 145, 61, 147, 67, 153, 55, 141, 54, 140, 51, 137, 50, 136, 47, 133, 46, 132, 40, 126, 39, 125, 35, 121, 37, 123, 43, 129, 31, 117, 28, 114, 23, 109, 20, 106, 15, 101, 12, 98, 6, 92, 5, 91)
	L = (1, 88)(2, 92)(3, 93)(4, 87)(5, 94)(6, 97)(7, 91)(8, 98)(9, 90)(10, 89)(11, 101)(12, 102)(13, 96)(14, 95)(15, 105)(16, 106)(17, 100)(18, 99)(19, 109)(20, 110)(21, 104)(22, 103)(23, 113)(24, 114)(25, 108)(26, 107)(27, 117)(28, 118)(29, 112)(30, 111)(31, 130)(32, 129)(33, 116)(34, 115)(35, 122)(36, 126)(37, 127)(38, 121)(39, 128)(40, 131)(41, 125)(42, 132)(43, 124)(44, 123)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 154)(56, 153)(57, 120)(58, 119)(59, 146)(60, 150)(61, 151)(62, 145)(63, 152)(64, 155)(65, 149)(66, 156)(67, 148)(68, 147)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 172)(80, 171)(81, 144)(82, 143)(83, 167)(84, 168)(85, 170)(86, 169)
	local type(s) :: { ( 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43, 2, 43 ) }
Outer automorphisms :: reflexible
Dual of E21.2209
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 86 f = 45
	degree seq :: [ 172 ]

E21.2214 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 43, 86})
Quotient :: loop
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-43 ]
Map:: non-degenerate
	R = (1, 87, 3, 89)(2, 88, 6, 92)(4, 90, 7, 93)(5, 91, 10, 96)(8, 94, 11, 97)(9, 95, 14, 100)(12, 98, 15, 101)(13, 99, 18, 104)(16, 102, 19, 105)(17, 103, 22, 108)(20, 106, 23, 109)(21, 107, 26, 112)(24, 110, 27, 113)(25, 111, 30, 116)(28, 114, 31, 117)(29, 115, 36, 122)(32, 118, 51, 137)(33, 119, 35, 121)(34, 120, 38, 124)(37, 123, 40, 126)(39, 125, 42, 128)(41, 127, 44, 130)(43, 129, 46, 132)(45, 131, 48, 134)(47, 133, 50, 136)(49, 135, 55, 141)(52, 138, 54, 140)(53, 139, 57, 143)(56, 142, 59, 145)(58, 144, 61, 147)(60, 146, 63, 149)(62, 148, 65, 151)(64, 150, 67, 153)(66, 152, 69, 155)(68, 154, 71, 157)(70, 156, 85, 171)(72, 158, 74, 160)(73, 159, 76, 162)(75, 161, 78, 164)(77, 163, 80, 166)(79, 165, 82, 168)(81, 167, 84, 170)(83, 169, 86, 172)
	L = (1, 88)(2, 91)(3, 92)(4, 87)(5, 95)(6, 96)(7, 89)(8, 90)(9, 99)(10, 100)(11, 93)(12, 94)(13, 103)(14, 104)(15, 97)(16, 98)(17, 107)(18, 108)(19, 101)(20, 102)(21, 111)(22, 112)(23, 105)(24, 106)(25, 115)(26, 116)(27, 109)(28, 110)(29, 121)(30, 122)(31, 113)(32, 114)(33, 120)(34, 123)(35, 124)(36, 119)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 140)(50, 141)(51, 117)(52, 139)(53, 142)(54, 143)(55, 138)(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, 160)(69, 157)(70, 137)(71, 158)(72, 159)(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, 118)(86, 156)
	local type(s) :: { ( 43, 86, 43, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.2210
Transitivity :: ET+ VT+ AT
Graph::
	v = 43 e = 86 f = 3
	degree seq :: [ 4^43 ]

E21.2215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 43, 86})
Quotient :: dipole
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|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, Y2^43, (Y3 * Y2^-1)^86 ]
Map::
	R = (1, 87, 2, 88)(3, 89, 5, 91)(4, 90, 6, 92)(7, 93, 9, 95)(8, 94, 10, 96)(11, 97, 13, 99)(12, 98, 14, 100)(15, 101, 17, 103)(16, 102, 18, 104)(19, 105, 21, 107)(20, 106, 22, 108)(23, 109, 25, 111)(24, 110, 26, 112)(27, 113, 29, 115)(28, 114, 30, 116)(31, 117, 37, 123)(32, 118, 51, 137)(33, 119, 34, 120)(35, 121, 36, 122)(38, 124, 39, 125)(40, 126, 41, 127)(42, 128, 43, 129)(44, 130, 45, 131)(46, 132, 47, 133)(48, 134, 49, 135)(50, 136, 56, 142)(52, 138, 53, 139)(54, 140, 55, 141)(57, 143, 58, 144)(59, 145, 60, 146)(61, 147, 62, 148)(63, 149, 64, 150)(65, 151, 66, 152)(67, 153, 68, 154)(69, 155, 71, 157)(70, 156, 86, 172)(72, 158, 73, 159)(74, 160, 75, 161)(76, 162, 77, 163)(78, 164, 79, 165)(80, 166, 81, 167)(82, 168, 83, 169)(84, 170, 85, 171)(173, 259, 175, 261, 179, 265, 183, 269, 187, 273, 191, 277, 195, 281, 199, 285, 203, 289, 205, 291, 207, 293, 210, 296, 212, 298, 214, 300, 216, 302, 218, 304, 220, 306, 222, 308, 224, 310, 226, 312, 229, 315, 231, 317, 233, 319, 235, 321, 237, 323, 239, 325, 241, 327, 244, 330, 246, 332, 248, 334, 250, 336, 252, 338, 254, 340, 256, 342, 258, 344, 204, 290, 200, 286, 196, 282, 192, 278, 188, 274, 184, 270, 180, 266, 176, 262)(174, 260, 177, 263, 181, 267, 185, 271, 189, 275, 193, 279, 197, 283, 201, 287, 209, 295, 206, 292, 208, 294, 211, 297, 213, 299, 215, 301, 217, 303, 219, 305, 221, 307, 228, 314, 225, 311, 227, 313, 230, 316, 232, 318, 234, 320, 236, 322, 238, 324, 240, 326, 243, 329, 245, 331, 247, 333, 249, 335, 251, 337, 253, 339, 255, 341, 257, 343, 242, 328, 223, 309, 202, 288, 198, 284, 194, 280, 190, 276, 186, 272, 182, 268, 178, 264)
	L = (1, 174)(2, 173)(3, 177)(4, 178)(5, 175)(6, 176)(7, 181)(8, 182)(9, 179)(10, 180)(11, 185)(12, 186)(13, 183)(14, 184)(15, 189)(16, 190)(17, 187)(18, 188)(19, 193)(20, 194)(21, 191)(22, 192)(23, 197)(24, 198)(25, 195)(26, 196)(27, 201)(28, 202)(29, 199)(30, 200)(31, 209)(32, 223)(33, 206)(34, 205)(35, 208)(36, 207)(37, 203)(38, 211)(39, 210)(40, 213)(41, 212)(42, 215)(43, 214)(44, 217)(45, 216)(46, 219)(47, 218)(48, 221)(49, 220)(50, 228)(51, 204)(52, 225)(53, 224)(54, 227)(55, 226)(56, 222)(57, 230)(58, 229)(59, 232)(60, 231)(61, 234)(62, 233)(63, 236)(64, 235)(65, 238)(66, 237)(67, 240)(68, 239)(69, 243)(70, 258)(71, 241)(72, 245)(73, 244)(74, 247)(75, 246)(76, 249)(77, 248)(78, 251)(79, 250)(80, 253)(81, 252)(82, 255)(83, 254)(84, 257)(85, 256)(86, 242)(87, 259)(88, 260)(89, 261)(90, 262)(91, 263)(92, 264)(93, 265)(94, 266)(95, 267)(96, 268)(97, 269)(98, 270)(99, 271)(100, 272)(101, 273)(102, 274)(103, 275)(104, 276)(105, 277)(106, 278)(107, 279)(108, 280)(109, 281)(110, 282)(111, 283)(112, 284)(113, 285)(114, 286)(115, 287)(116, 288)(117, 289)(118, 290)(119, 291)(120, 292)(121, 293)(122, 294)(123, 295)(124, 296)(125, 297)(126, 298)(127, 299)(128, 300)(129, 301)(130, 302)(131, 303)(132, 304)(133, 305)(134, 306)(135, 307)(136, 308)(137, 309)(138, 310)(139, 311)(140, 312)(141, 313)(142, 314)(143, 315)(144, 316)(145, 317)(146, 318)(147, 319)(148, 320)(149, 321)(150, 322)(151, 323)(152, 324)(153, 325)(154, 326)(155, 327)(156, 328)(157, 329)(158, 330)(159, 331)(160, 332)(161, 333)(162, 334)(163, 335)(164, 336)(165, 337)(166, 338)(167, 339)(168, 340)(169, 341)(170, 342)(171, 343)(172, 344)
	local type(s) :: { ( 2, 172, 2, 172 ), ( 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172, 2, 172 ) }
Outer automorphisms :: reflexible
Dual of E21.2218
Graph:: bipartite
	v = 45 e = 172 f = 87
	degree seq :: [ 4^43, 86^2 ]

E21.2216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 43, 86})
Quotient :: dipole
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^20 * Y2^20, Y1^19 * Y2^-1 * Y1 * Y2^-21 * Y1, Y1^43, Y2^-278 * Y1^-20 ]
Map::
	R = (1, 87, 2, 88, 6, 92, 11, 97, 15, 101, 19, 105, 23, 109, 27, 113, 31, 117, 59, 145, 86, 172, 83, 169, 82, 168, 79, 165, 76, 162, 71, 157, 66, 152, 63, 149, 64, 150, 68, 154, 73, 159, 77, 163, 62, 148, 57, 143, 56, 142, 53, 139, 52, 138, 47, 133, 44, 130, 37, 123, 41, 127, 39, 125, 42, 128, 46, 132, 50, 136, 33, 119, 30, 116, 25, 111, 22, 108, 17, 103, 14, 100, 9, 95, 4, 90)(3, 89, 7, 93, 5, 91, 8, 94, 12, 98, 16, 102, 20, 106, 24, 110, 28, 114, 32, 118, 60, 146, 85, 171, 84, 170, 81, 167, 80, 166, 75, 161, 72, 158, 65, 151, 69, 155, 67, 153, 70, 156, 74, 160, 78, 164, 61, 147, 58, 144, 55, 141, 54, 140, 51, 137, 48, 134, 43, 129, 38, 124, 35, 121, 36, 122, 40, 126, 45, 131, 49, 135, 34, 120, 29, 115, 26, 112, 21, 107, 18, 104, 13, 99, 10, 96)(173, 259, 175, 261, 181, 267, 185, 271, 189, 275, 193, 279, 197, 283, 201, 287, 205, 291, 221, 307, 218, 304, 212, 298, 211, 297, 207, 293, 209, 295, 215, 301, 219, 305, 223, 309, 225, 311, 227, 313, 229, 315, 233, 319, 249, 335, 246, 332, 240, 326, 239, 325, 235, 321, 237, 323, 243, 329, 247, 333, 251, 337, 253, 339, 255, 341, 257, 343, 231, 317, 204, 290, 199, 285, 196, 282, 191, 277, 188, 274, 183, 269, 180, 266, 174, 260, 179, 265, 176, 262, 182, 268, 186, 272, 190, 276, 194, 280, 198, 284, 202, 288, 206, 292, 222, 308, 217, 303, 214, 300, 208, 294, 213, 299, 210, 296, 216, 302, 220, 306, 224, 310, 226, 312, 228, 314, 230, 316, 234, 320, 250, 336, 245, 331, 242, 328, 236, 322, 241, 327, 238, 324, 244, 330, 248, 334, 252, 338, 254, 340, 256, 342, 258, 344, 232, 318, 203, 289, 200, 286, 195, 281, 192, 278, 187, 273, 184, 270, 178, 264, 177, 263)
	L = (1, 175)(2, 179)(3, 181)(4, 182)(5, 173)(6, 177)(7, 176)(8, 174)(9, 185)(10, 186)(11, 180)(12, 178)(13, 189)(14, 190)(15, 184)(16, 183)(17, 193)(18, 194)(19, 188)(20, 187)(21, 197)(22, 198)(23, 192)(24, 191)(25, 201)(26, 202)(27, 196)(28, 195)(29, 205)(30, 206)(31, 200)(32, 199)(33, 221)(34, 222)(35, 209)(36, 213)(37, 215)(38, 216)(39, 207)(40, 211)(41, 210)(42, 208)(43, 219)(44, 220)(45, 214)(46, 212)(47, 223)(48, 224)(49, 218)(50, 217)(51, 225)(52, 226)(53, 227)(54, 228)(55, 229)(56, 230)(57, 233)(58, 234)(59, 204)(60, 203)(61, 249)(62, 250)(63, 237)(64, 241)(65, 243)(66, 244)(67, 235)(68, 239)(69, 238)(70, 236)(71, 247)(72, 248)(73, 242)(74, 240)(75, 251)(76, 252)(77, 246)(78, 245)(79, 253)(80, 254)(81, 255)(82, 256)(83, 257)(84, 258)(85, 231)(86, 232)(87, 259)(88, 260)(89, 261)(90, 262)(91, 263)(92, 264)(93, 265)(94, 266)(95, 267)(96, 268)(97, 269)(98, 270)(99, 271)(100, 272)(101, 273)(102, 274)(103, 275)(104, 276)(105, 277)(106, 278)(107, 279)(108, 280)(109, 281)(110, 282)(111, 283)(112, 284)(113, 285)(114, 286)(115, 287)(116, 288)(117, 289)(118, 290)(119, 291)(120, 292)(121, 293)(122, 294)(123, 295)(124, 296)(125, 297)(126, 298)(127, 299)(128, 300)(129, 301)(130, 302)(131, 303)(132, 304)(133, 305)(134, 306)(135, 307)(136, 308)(137, 309)(138, 310)(139, 311)(140, 312)(141, 313)(142, 314)(143, 315)(144, 316)(145, 317)(146, 318)(147, 319)(148, 320)(149, 321)(150, 322)(151, 323)(152, 324)(153, 325)(154, 326)(155, 327)(156, 328)(157, 329)(158, 330)(159, 331)(160, 332)(161, 333)(162, 334)(163, 335)(164, 336)(165, 337)(166, 338)(167, 339)(168, 340)(169, 341)(170, 342)(171, 343)(172, 344)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2217
Graph:: bipartite
	v = 3 e = 172 f = 129
	degree seq :: [ 86^2, 172 ]

E21.2217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 43, 86})
Quotient :: dipole
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^43 * Y2, (Y3^-1 * Y1^-1)^86 ]
Map::
	R = (1, 87)(2, 88)(3, 89)(4, 90)(5, 91)(6, 92)(7, 93)(8, 94)(9, 95)(10, 96)(11, 97)(12, 98)(13, 99)(14, 100)(15, 101)(16, 102)(17, 103)(18, 104)(19, 105)(20, 106)(21, 107)(22, 108)(23, 109)(24, 110)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 116)(31, 117)(32, 118)(33, 119)(34, 120)(35, 121)(36, 122)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 128)(43, 129)(44, 130)(45, 131)(46, 132)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 143)(58, 144)(59, 145)(60, 146)(61, 147)(62, 148)(63, 149)(64, 150)(65, 151)(66, 152)(67, 153)(68, 154)(69, 155)(70, 156)(71, 157)(72, 158)(73, 159)(74, 160)(75, 161)(76, 162)(77, 163)(78, 164)(79, 165)(80, 166)(81, 167)(82, 168)(83, 169)(84, 170)(85, 171)(86, 172)(173, 259, 174, 260)(175, 261, 177, 263)(176, 262, 178, 264)(179, 265, 181, 267)(180, 266, 182, 268)(183, 269, 185, 271)(184, 270, 186, 272)(187, 273, 189, 275)(188, 274, 190, 276)(191, 277, 193, 279)(192, 278, 194, 280)(195, 281, 197, 283)(196, 282, 198, 284)(199, 285, 201, 287)(200, 286, 202, 288)(203, 289, 209, 295)(204, 290, 223, 309)(205, 291, 206, 292)(207, 293, 208, 294)(210, 296, 211, 297)(212, 298, 213, 299)(214, 300, 215, 301)(216, 302, 217, 303)(218, 304, 219, 305)(220, 306, 221, 307)(222, 308, 228, 314)(224, 310, 225, 311)(226, 312, 227, 313)(229, 315, 230, 316)(231, 317, 232, 318)(233, 319, 234, 320)(235, 321, 236, 322)(237, 323, 238, 324)(239, 325, 240, 326)(241, 327, 247, 333)(242, 328, 258, 344)(243, 329, 244, 330)(245, 331, 246, 332)(248, 334, 249, 335)(250, 336, 251, 337)(252, 338, 253, 339)(254, 340, 255, 341)(256, 342, 257, 343)
	L = (1, 175)(2, 177)(3, 179)(4, 173)(5, 181)(6, 174)(7, 183)(8, 176)(9, 185)(10, 178)(11, 187)(12, 180)(13, 189)(14, 182)(15, 191)(16, 184)(17, 193)(18, 186)(19, 195)(20, 188)(21, 197)(22, 190)(23, 199)(24, 192)(25, 201)(26, 194)(27, 203)(28, 196)(29, 209)(30, 198)(31, 205)(32, 200)(33, 207)(34, 208)(35, 210)(36, 211)(37, 206)(38, 212)(39, 213)(40, 214)(41, 215)(42, 216)(43, 217)(44, 218)(45, 219)(46, 220)(47, 221)(48, 222)(49, 228)(50, 224)(51, 202)(52, 226)(53, 227)(54, 229)(55, 230)(56, 225)(57, 231)(58, 232)(59, 233)(60, 234)(61, 235)(62, 236)(63, 237)(64, 238)(65, 239)(66, 240)(67, 241)(68, 247)(69, 243)(70, 223)(71, 245)(72, 246)(73, 248)(74, 249)(75, 244)(76, 250)(77, 251)(78, 252)(79, 253)(80, 254)(81, 255)(82, 256)(83, 257)(84, 242)(85, 258)(86, 204)(87, 259)(88, 260)(89, 261)(90, 262)(91, 263)(92, 264)(93, 265)(94, 266)(95, 267)(96, 268)(97, 269)(98, 270)(99, 271)(100, 272)(101, 273)(102, 274)(103, 275)(104, 276)(105, 277)(106, 278)(107, 279)(108, 280)(109, 281)(110, 282)(111, 283)(112, 284)(113, 285)(114, 286)(115, 287)(116, 288)(117, 289)(118, 290)(119, 291)(120, 292)(121, 293)(122, 294)(123, 295)(124, 296)(125, 297)(126, 298)(127, 299)(128, 300)(129, 301)(130, 302)(131, 303)(132, 304)(133, 305)(134, 306)(135, 307)(136, 308)(137, 309)(138, 310)(139, 311)(140, 312)(141, 313)(142, 314)(143, 315)(144, 316)(145, 317)(146, 318)(147, 319)(148, 320)(149, 321)(150, 322)(151, 323)(152, 324)(153, 325)(154, 326)(155, 327)(156, 328)(157, 329)(158, 330)(159, 331)(160, 332)(161, 333)(162, 334)(163, 335)(164, 336)(165, 337)(166, 338)(167, 339)(168, 340)(169, 341)(170, 342)(171, 343)(172, 344)
	local type(s) :: { ( 86, 172 ), ( 86, 172, 86, 172 ) }
Outer automorphisms :: reflexible
Dual of E21.2216
Graph:: simple bipartite
	v = 129 e = 172 f = 3
	degree seq :: [ 2^86, 4^43 ]

E21.2218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 43, 86})
Quotient :: dipole
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|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^-43 ]
Map::
	R = (1, 87, 2, 88, 5, 91, 9, 95, 13, 99, 17, 103, 21, 107, 25, 111, 29, 115, 35, 121, 38, 124, 40, 126, 42, 128, 44, 130, 46, 132, 48, 134, 50, 136, 55, 141, 52, 138, 53, 139, 56, 142, 58, 144, 60, 146, 62, 148, 64, 150, 66, 152, 68, 154, 74, 160, 76, 162, 78, 164, 80, 166, 82, 168, 84, 170, 86, 172, 70, 156, 51, 137, 31, 117, 27, 113, 23, 109, 19, 105, 15, 101, 11, 97, 7, 93, 3, 89, 6, 92, 10, 96, 14, 100, 18, 104, 22, 108, 26, 112, 30, 116, 36, 122, 33, 119, 34, 120, 37, 123, 39, 125, 41, 127, 43, 129, 45, 131, 47, 133, 49, 135, 54, 140, 57, 143, 59, 145, 61, 147, 63, 149, 65, 151, 67, 153, 69, 155, 71, 157, 72, 158, 73, 159, 75, 161, 77, 163, 79, 165, 81, 167, 83, 169, 85, 171, 32, 118, 28, 114, 24, 110, 20, 106, 16, 102, 12, 98, 8, 94, 4, 90)(173, 259)(174, 260)(175, 261)(176, 262)(177, 263)(178, 264)(179, 265)(180, 266)(181, 267)(182, 268)(183, 269)(184, 270)(185, 271)(186, 272)(187, 273)(188, 274)(189, 275)(190, 276)(191, 277)(192, 278)(193, 279)(194, 280)(195, 281)(196, 282)(197, 283)(198, 284)(199, 285)(200, 286)(201, 287)(202, 288)(203, 289)(204, 290)(205, 291)(206, 292)(207, 293)(208, 294)(209, 295)(210, 296)(211, 297)(212, 298)(213, 299)(214, 300)(215, 301)(216, 302)(217, 303)(218, 304)(219, 305)(220, 306)(221, 307)(222, 308)(223, 309)(224, 310)(225, 311)(226, 312)(227, 313)(228, 314)(229, 315)(230, 316)(231, 317)(232, 318)(233, 319)(234, 320)(235, 321)(236, 322)(237, 323)(238, 324)(239, 325)(240, 326)(241, 327)(242, 328)(243, 329)(244, 330)(245, 331)(246, 332)(247, 333)(248, 334)(249, 335)(250, 336)(251, 337)(252, 338)(253, 339)(254, 340)(255, 341)(256, 342)(257, 343)(258, 344)
	L = (1, 175)(2, 178)(3, 173)(4, 179)(5, 182)(6, 174)(7, 176)(8, 183)(9, 186)(10, 177)(11, 180)(12, 187)(13, 190)(14, 181)(15, 184)(16, 191)(17, 194)(18, 185)(19, 188)(20, 195)(21, 198)(22, 189)(23, 192)(24, 199)(25, 202)(26, 193)(27, 196)(28, 203)(29, 208)(30, 197)(31, 200)(32, 223)(33, 207)(34, 210)(35, 205)(36, 201)(37, 212)(38, 206)(39, 214)(40, 209)(41, 216)(42, 211)(43, 218)(44, 213)(45, 220)(46, 215)(47, 222)(48, 217)(49, 227)(50, 219)(51, 204)(52, 226)(53, 229)(54, 224)(55, 221)(56, 231)(57, 225)(58, 233)(59, 228)(60, 235)(61, 230)(62, 237)(63, 232)(64, 239)(65, 234)(66, 241)(67, 236)(68, 243)(69, 238)(70, 257)(71, 240)(72, 246)(73, 248)(74, 244)(75, 250)(76, 245)(77, 252)(78, 247)(79, 254)(80, 249)(81, 256)(82, 251)(83, 258)(84, 253)(85, 242)(86, 255)(87, 259)(88, 260)(89, 261)(90, 262)(91, 263)(92, 264)(93, 265)(94, 266)(95, 267)(96, 268)(97, 269)(98, 270)(99, 271)(100, 272)(101, 273)(102, 274)(103, 275)(104, 276)(105, 277)(106, 278)(107, 279)(108, 280)(109, 281)(110, 282)(111, 283)(112, 284)(113, 285)(114, 286)(115, 287)(116, 288)(117, 289)(118, 290)(119, 291)(120, 292)(121, 293)(122, 294)(123, 295)(124, 296)(125, 297)(126, 298)(127, 299)(128, 300)(129, 301)(130, 302)(131, 303)(132, 304)(133, 305)(134, 306)(135, 307)(136, 308)(137, 309)(138, 310)(139, 311)(140, 312)(141, 313)(142, 314)(143, 315)(144, 316)(145, 317)(146, 318)(147, 319)(148, 320)(149, 321)(150, 322)(151, 323)(152, 324)(153, 325)(154, 326)(155, 327)(156, 328)(157, 329)(158, 330)(159, 331)(160, 332)(161, 333)(162, 334)(163, 335)(164, 336)(165, 337)(166, 338)(167, 339)(168, 340)(169, 341)(170, 342)(171, 343)(172, 344)
	local type(s) :: { ( 4, 86 ), ( 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86, 4, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.2215
Graph:: bipartite
	v = 87 e = 172 f = 45
	degree seq :: [ 2^86, 172 ]

E21.2219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 43, 86})
Quotient :: dipole
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|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, Y2^43 * Y1, (Y3 * Y2^-1)^43 ]
Map::
	R = (1, 87, 2, 88)(3, 89, 5, 91)(4, 90, 6, 92)(7, 93, 9, 95)(8, 94, 10, 96)(11, 97, 13, 99)(12, 98, 14, 100)(15, 101, 17, 103)(16, 102, 18, 104)(19, 105, 21, 107)(20, 106, 22, 108)(23, 109, 25, 111)(24, 110, 26, 112)(27, 113, 29, 115)(28, 114, 30, 116)(31, 117, 40, 126)(32, 118, 53, 139)(33, 119, 34, 120)(35, 121, 37, 123)(36, 122, 38, 124)(39, 125, 41, 127)(42, 128, 43, 129)(44, 130, 45, 131)(46, 132, 47, 133)(48, 134, 49, 135)(50, 136, 51, 137)(52, 138, 61, 147)(54, 140, 55, 141)(56, 142, 58, 144)(57, 143, 59, 145)(60, 146, 62, 148)(63, 149, 64, 150)(65, 151, 66, 152)(67, 153, 68, 154)(69, 155, 70, 156)(71, 157, 72, 158)(73, 159, 82, 168)(74, 160, 86, 172)(75, 161, 76, 162)(77, 163, 79, 165)(78, 164, 80, 166)(81, 167, 83, 169)(84, 170, 85, 171)(173, 259, 175, 261, 179, 265, 183, 269, 187, 273, 191, 277, 195, 281, 199, 285, 203, 289, 210, 296, 206, 292, 209, 295, 213, 299, 215, 301, 217, 303, 219, 305, 221, 307, 223, 309, 233, 319, 229, 315, 226, 312, 228, 314, 232, 318, 235, 321, 237, 323, 239, 325, 241, 327, 243, 329, 245, 331, 252, 338, 248, 334, 251, 337, 255, 341, 257, 343, 246, 332, 225, 311, 202, 288, 198, 284, 194, 280, 190, 276, 186, 272, 182, 268, 178, 264, 174, 260, 177, 263, 181, 267, 185, 271, 189, 275, 193, 279, 197, 283, 201, 287, 212, 298, 208, 294, 205, 291, 207, 293, 211, 297, 214, 300, 216, 302, 218, 304, 220, 306, 222, 308, 224, 310, 231, 317, 227, 313, 230, 316, 234, 320, 236, 322, 238, 324, 240, 326, 242, 328, 244, 330, 254, 340, 250, 336, 247, 333, 249, 335, 253, 339, 256, 342, 258, 344, 204, 290, 200, 286, 196, 282, 192, 278, 188, 274, 184, 270, 180, 266, 176, 262)
	L = (1, 174)(2, 173)(3, 177)(4, 178)(5, 175)(6, 176)(7, 181)(8, 182)(9, 179)(10, 180)(11, 185)(12, 186)(13, 183)(14, 184)(15, 189)(16, 190)(17, 187)(18, 188)(19, 193)(20, 194)(21, 191)(22, 192)(23, 197)(24, 198)(25, 195)(26, 196)(27, 201)(28, 202)(29, 199)(30, 200)(31, 212)(32, 225)(33, 206)(34, 205)(35, 209)(36, 210)(37, 207)(38, 208)(39, 213)(40, 203)(41, 211)(42, 215)(43, 214)(44, 217)(45, 216)(46, 219)(47, 218)(48, 221)(49, 220)(50, 223)(51, 222)(52, 233)(53, 204)(54, 227)(55, 226)(56, 230)(57, 231)(58, 228)(59, 229)(60, 234)(61, 224)(62, 232)(63, 236)(64, 235)(65, 238)(66, 237)(67, 240)(68, 239)(69, 242)(70, 241)(71, 244)(72, 243)(73, 254)(74, 258)(75, 248)(76, 247)(77, 251)(78, 252)(79, 249)(80, 250)(81, 255)(82, 245)(83, 253)(84, 257)(85, 256)(86, 246)(87, 259)(88, 260)(89, 261)(90, 262)(91, 263)(92, 264)(93, 265)(94, 266)(95, 267)(96, 268)(97, 269)(98, 270)(99, 271)(100, 272)(101, 273)(102, 274)(103, 275)(104, 276)(105, 277)(106, 278)(107, 279)(108, 280)(109, 281)(110, 282)(111, 283)(112, 284)(113, 285)(114, 286)(115, 287)(116, 288)(117, 289)(118, 290)(119, 291)(120, 292)(121, 293)(122, 294)(123, 295)(124, 296)(125, 297)(126, 298)(127, 299)(128, 300)(129, 301)(130, 302)(131, 303)(132, 304)(133, 305)(134, 306)(135, 307)(136, 308)(137, 309)(138, 310)(139, 311)(140, 312)(141, 313)(142, 314)(143, 315)(144, 316)(145, 317)(146, 318)(147, 319)(148, 320)(149, 321)(150, 322)(151, 323)(152, 324)(153, 325)(154, 326)(155, 327)(156, 328)(157, 329)(158, 330)(159, 331)(160, 332)(161, 333)(162, 334)(163, 335)(164, 336)(165, 337)(166, 338)(167, 339)(168, 340)(169, 341)(170, 342)(171, 343)(172, 344)
	local type(s) :: { ( 2, 86, 2, 86 ), ( 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86, 2, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.2220
Graph:: bipartite
	v = 44 e = 172 f = 88
	degree seq :: [ 4^43, 172 ]

E21.2220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 43, 86})
Quotient :: dipole
Aut^+ = C86 (small group id <86, 2>)
Aut   = D172 (small group id <172, 3>)
|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 * Y1^19 * Y3^-22, Y3^-2 * Y1^41, (Y3 * Y2^-1)^86 ]
Map::
	R = (1, 87, 2, 88, 6, 92, 11, 97, 15, 101, 19, 105, 23, 109, 27, 113, 31, 117, 44, 130, 37, 123, 41, 127, 39, 125, 42, 128, 46, 132, 48, 134, 50, 136, 52, 138, 54, 140, 56, 142, 67, 153, 62, 148, 59, 145, 60, 146, 64, 150, 69, 155, 71, 157, 73, 159, 75, 161, 77, 163, 79, 165, 86, 172, 83, 169, 81, 167, 58, 144, 33, 119, 30, 116, 25, 111, 22, 108, 17, 103, 14, 100, 9, 95, 4, 90)(3, 89, 7, 93, 5, 91, 8, 94, 12, 98, 16, 102, 20, 106, 24, 110, 28, 114, 32, 118, 43, 129, 38, 124, 35, 121, 36, 122, 40, 126, 45, 131, 47, 133, 49, 135, 51, 137, 53, 139, 55, 141, 68, 154, 61, 147, 65, 151, 63, 149, 66, 152, 70, 156, 72, 158, 74, 160, 76, 162, 78, 164, 80, 166, 85, 171, 84, 170, 82, 168, 57, 143, 34, 120, 29, 115, 26, 112, 21, 107, 18, 104, 13, 99, 10, 96)(173, 259)(174, 260)(175, 261)(176, 262)(177, 263)(178, 264)(179, 265)(180, 266)(181, 267)(182, 268)(183, 269)(184, 270)(185, 271)(186, 272)(187, 273)(188, 274)(189, 275)(190, 276)(191, 277)(192, 278)(193, 279)(194, 280)(195, 281)(196, 282)(197, 283)(198, 284)(199, 285)(200, 286)(201, 287)(202, 288)(203, 289)(204, 290)(205, 291)(206, 292)(207, 293)(208, 294)(209, 295)(210, 296)(211, 297)(212, 298)(213, 299)(214, 300)(215, 301)(216, 302)(217, 303)(218, 304)(219, 305)(220, 306)(221, 307)(222, 308)(223, 309)(224, 310)(225, 311)(226, 312)(227, 313)(228, 314)(229, 315)(230, 316)(231, 317)(232, 318)(233, 319)(234, 320)(235, 321)(236, 322)(237, 323)(238, 324)(239, 325)(240, 326)(241, 327)(242, 328)(243, 329)(244, 330)(245, 331)(246, 332)(247, 333)(248, 334)(249, 335)(250, 336)(251, 337)(252, 338)(253, 339)(254, 340)(255, 341)(256, 342)(257, 343)(258, 344)
	L = (1, 175)(2, 179)(3, 181)(4, 182)(5, 173)(6, 177)(7, 176)(8, 174)(9, 185)(10, 186)(11, 180)(12, 178)(13, 189)(14, 190)(15, 184)(16, 183)(17, 193)(18, 194)(19, 188)(20, 187)(21, 197)(22, 198)(23, 192)(24, 191)(25, 201)(26, 202)(27, 196)(28, 195)(29, 205)(30, 206)(31, 200)(32, 199)(33, 229)(34, 230)(35, 209)(36, 213)(37, 215)(38, 216)(39, 207)(40, 211)(41, 210)(42, 208)(43, 203)(44, 204)(45, 214)(46, 212)(47, 218)(48, 217)(49, 220)(50, 219)(51, 222)(52, 221)(53, 224)(54, 223)(55, 226)(56, 225)(57, 253)(58, 254)(59, 233)(60, 237)(61, 239)(62, 240)(63, 231)(64, 235)(65, 234)(66, 232)(67, 227)(68, 228)(69, 238)(70, 236)(71, 242)(72, 241)(73, 244)(74, 243)(75, 246)(76, 245)(77, 248)(78, 247)(79, 250)(80, 249)(81, 256)(82, 255)(83, 257)(84, 258)(85, 251)(86, 252)(87, 259)(88, 260)(89, 261)(90, 262)(91, 263)(92, 264)(93, 265)(94, 266)(95, 267)(96, 268)(97, 269)(98, 270)(99, 271)(100, 272)(101, 273)(102, 274)(103, 275)(104, 276)(105, 277)(106, 278)(107, 279)(108, 280)(109, 281)(110, 282)(111, 283)(112, 284)(113, 285)(114, 286)(115, 287)(116, 288)(117, 289)(118, 290)(119, 291)(120, 292)(121, 293)(122, 294)(123, 295)(124, 296)(125, 297)(126, 298)(127, 299)(128, 300)(129, 301)(130, 302)(131, 303)(132, 304)(133, 305)(134, 306)(135, 307)(136, 308)(137, 309)(138, 310)(139, 311)(140, 312)(141, 313)(142, 314)(143, 315)(144, 316)(145, 317)(146, 318)(147, 319)(148, 320)(149, 321)(150, 322)(151, 323)(152, 324)(153, 325)(154, 326)(155, 327)(156, 328)(157, 329)(158, 330)(159, 331)(160, 332)(161, 333)(162, 334)(163, 335)(164, 336)(165, 337)(166, 338)(167, 339)(168, 340)(169, 341)(170, 342)(171, 343)(172, 344)
	local type(s) :: { ( 4, 172 ), ( 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172, 4, 172 ) }
Outer automorphisms :: reflexible
Dual of E21.2219
Graph:: simple bipartite
	v = 88 e = 172 f = 44
	degree seq :: [ 2^86, 86^2 ]

E21.2221 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 22})
Quotient :: halfedge^2
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1)^4, (Y3 * Y2)^11 ]
Map:: non-degenerate
	R = (1, 90, 2, 89)(3, 95, 7, 91)(4, 97, 9, 92)(5, 99, 11, 93)(6, 101, 13, 94)(8, 100, 12, 96)(10, 102, 14, 98)(15, 108, 20, 103)(16, 109, 21, 104)(17, 113, 25, 105)(18, 111, 23, 106)(19, 115, 27, 107)(22, 117, 29, 110)(24, 119, 31, 112)(26, 118, 30, 114)(28, 120, 32, 116)(33, 125, 37, 121)(34, 129, 41, 122)(35, 127, 39, 123)(36, 131, 43, 124)(38, 133, 45, 126)(40, 135, 47, 128)(42, 134, 46, 130)(44, 136, 48, 132)(49, 141, 53, 137)(50, 145, 57, 138)(51, 143, 55, 139)(52, 147, 59, 140)(54, 149, 61, 142)(56, 151, 63, 144)(58, 150, 62, 146)(60, 152, 64, 148)(65, 157, 69, 153)(66, 161, 73, 154)(67, 159, 71, 155)(68, 163, 75, 156)(70, 165, 77, 158)(72, 167, 79, 160)(74, 166, 78, 162)(76, 168, 80, 164)(81, 172, 84, 169)(82, 175, 87, 170)(83, 174, 86, 171)(85, 176, 88, 173)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 25)(19, 28)(21, 29)(24, 32)(26, 34)(27, 35)(30, 38)(31, 39)(33, 41)(36, 44)(37, 45)(40, 48)(42, 50)(43, 51)(46, 54)(47, 55)(49, 57)(52, 60)(53, 61)(56, 64)(58, 66)(59, 67)(62, 70)(63, 71)(65, 73)(68, 76)(69, 77)(72, 80)(74, 82)(75, 83)(78, 85)(79, 86)(81, 87)(84, 88)(89, 92)(90, 94)(91, 96)(93, 100)(95, 104)(97, 103)(98, 107)(99, 109)(101, 108)(102, 112)(105, 114)(106, 115)(110, 118)(111, 119)(113, 121)(116, 124)(117, 125)(120, 128)(122, 130)(123, 131)(126, 134)(127, 135)(129, 137)(132, 140)(133, 141)(136, 144)(138, 146)(139, 147)(142, 150)(143, 151)(145, 153)(148, 156)(149, 157)(152, 160)(154, 162)(155, 163)(158, 166)(159, 167)(161, 169)(164, 170)(165, 172)(168, 173)(171, 175)(174, 176)
	local type(s) :: { ( 44^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2222
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 44 e = 88 f = 4
	degree seq :: [ 4^44 ]

E21.2222 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 22})
Quotient :: halfedge^2
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y3, (Y2 * Y1 * Y3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^-1 * Y3 * Y2 * Y1^-9 ]
Map:: non-degenerate
	R = (1, 90, 2, 94, 6, 106, 18, 126, 38, 145, 57, 161, 73, 157, 69, 140, 52, 122, 34, 101, 13, 113, 25, 98, 10, 110, 22, 129, 41, 148, 60, 164, 76, 160, 72, 144, 56, 125, 37, 105, 17, 93, 5, 89)(3, 97, 9, 115, 27, 137, 49, 153, 65, 169, 81, 173, 85, 166, 78, 147, 59, 131, 43, 108, 20, 102, 14, 92, 4, 100, 12, 120, 32, 139, 51, 155, 67, 165, 77, 146, 58, 130, 42, 107, 19, 99, 11, 91)(7, 109, 21, 103, 15, 123, 35, 142, 54, 158, 70, 172, 84, 174, 86, 163, 75, 150, 62, 128, 40, 114, 26, 96, 8, 112, 24, 104, 16, 124, 36, 143, 55, 159, 71, 162, 74, 149, 61, 127, 39, 111, 23, 95)(28, 132, 44, 118, 30, 134, 46, 151, 63, 167, 79, 175, 87, 171, 83, 156, 68, 141, 53, 121, 33, 136, 48, 117, 29, 133, 45, 119, 31, 135, 47, 152, 64, 168, 80, 176, 88, 170, 82, 154, 66, 138, 50, 116)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 39)(21, 44)(22, 40)(23, 46)(24, 48)(26, 45)(31, 43)(32, 52)(35, 50)(36, 53)(37, 54)(38, 58)(41, 59)(42, 63)(47, 62)(49, 66)(51, 68)(55, 69)(56, 65)(57, 74)(60, 75)(61, 79)(64, 78)(67, 73)(70, 82)(71, 83)(72, 84)(76, 85)(77, 87)(80, 86)(81, 88)(89, 92)(90, 96)(91, 98)(93, 104)(94, 108)(95, 110)(97, 117)(99, 119)(100, 116)(101, 115)(102, 118)(103, 113)(105, 120)(106, 128)(107, 129)(109, 133)(111, 135)(112, 132)(114, 134)(121, 137)(122, 142)(123, 136)(124, 138)(125, 143)(126, 147)(127, 148)(130, 152)(131, 151)(139, 154)(140, 153)(141, 158)(144, 155)(145, 163)(146, 164)(149, 168)(150, 167)(156, 169)(157, 172)(159, 170)(160, 162)(161, 173)(165, 176)(166, 175)(171, 174)
	local type(s) :: { ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2221
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 88 f = 44
	degree seq :: [ 44^4 ]

E21.2223 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 22})
Quotient :: edge^2
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^11 ]
Map::
	R = (1, 89, 4, 92)(2, 90, 6, 94)(3, 91, 8, 96)(5, 93, 12, 100)(7, 95, 16, 104)(9, 97, 18, 106)(10, 98, 19, 107)(11, 99, 21, 109)(13, 101, 23, 111)(14, 102, 24, 112)(15, 103, 26, 114)(17, 105, 28, 116)(20, 108, 30, 118)(22, 110, 32, 120)(25, 113, 34, 122)(27, 115, 36, 124)(29, 117, 38, 126)(31, 119, 40, 128)(33, 121, 42, 130)(35, 123, 44, 132)(37, 125, 46, 134)(39, 127, 48, 136)(41, 129, 50, 138)(43, 131, 52, 140)(45, 133, 54, 142)(47, 135, 56, 144)(49, 137, 58, 146)(51, 139, 60, 148)(53, 141, 62, 150)(55, 143, 64, 152)(57, 145, 66, 154)(59, 147, 68, 156)(61, 149, 70, 158)(63, 151, 72, 160)(65, 153, 74, 162)(67, 155, 76, 164)(69, 157, 78, 166)(71, 159, 80, 168)(73, 161, 81, 169)(75, 163, 83, 171)(77, 165, 84, 172)(79, 167, 86, 174)(82, 170, 87, 175)(85, 173, 88, 176)(177, 178)(179, 183)(180, 185)(181, 187)(182, 189)(184, 193)(186, 192)(188, 198)(190, 197)(191, 201)(194, 199)(195, 204)(196, 205)(200, 208)(202, 211)(203, 210)(206, 215)(207, 214)(209, 217)(212, 220)(213, 221)(216, 224)(218, 227)(219, 226)(222, 231)(223, 230)(225, 233)(228, 236)(229, 237)(232, 240)(234, 243)(235, 242)(238, 247)(239, 246)(241, 249)(244, 252)(245, 253)(248, 256)(250, 258)(251, 257)(254, 261)(255, 260)(259, 263)(262, 264)(265, 267)(266, 269)(268, 274)(270, 278)(271, 279)(272, 277)(273, 276)(275, 284)(280, 291)(281, 290)(282, 288)(283, 287)(285, 295)(286, 294)(289, 297)(292, 300)(293, 301)(296, 304)(298, 307)(299, 306)(302, 311)(303, 310)(305, 313)(308, 316)(309, 317)(312, 320)(314, 323)(315, 322)(318, 327)(319, 326)(321, 329)(324, 332)(325, 333)(328, 336)(330, 339)(331, 338)(334, 343)(335, 342)(337, 341)(340, 347)(344, 350)(345, 349)(346, 348)(351, 352)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 88, 88 ), ( 88^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2226
Graph:: simple bipartite
	v = 132 e = 176 f = 4
	degree seq :: [ 2^88, 4^44 ]

E21.2224 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 22})
Quotient :: edge^2
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^10 * Y2 * Y1 ]
Map::
	R = (1, 89, 4, 92, 14, 102, 34, 122, 54, 142, 70, 158, 76, 164, 60, 148, 40, 128, 20, 108, 6, 94, 19, 107, 9, 97, 27, 115, 50, 138, 66, 154, 82, 170, 72, 160, 56, 144, 37, 125, 17, 105, 5, 93)(2, 90, 7, 95, 23, 111, 45, 133, 62, 150, 78, 166, 68, 156, 52, 140, 29, 117, 11, 99, 3, 91, 10, 98, 18, 106, 38, 126, 58, 146, 74, 162, 86, 174, 80, 168, 64, 152, 48, 136, 26, 114, 8, 96)(12, 100, 30, 118, 15, 103, 35, 123, 55, 143, 71, 159, 84, 172, 69, 157, 53, 141, 33, 121, 13, 101, 32, 120, 16, 104, 36, 124, 39, 127, 59, 147, 75, 163, 87, 175, 81, 169, 65, 153, 49, 137, 31, 119)(21, 109, 41, 129, 24, 112, 46, 134, 63, 151, 79, 167, 88, 176, 77, 165, 61, 149, 44, 132, 22, 110, 43, 131, 25, 113, 47, 135, 28, 116, 51, 139, 67, 155, 83, 171, 85, 173, 73, 161, 57, 145, 42, 130)(177, 178)(179, 185)(180, 188)(181, 191)(182, 194)(183, 197)(184, 200)(186, 201)(187, 204)(189, 203)(190, 202)(192, 195)(193, 199)(196, 215)(198, 214)(205, 226)(206, 217)(207, 222)(208, 223)(209, 227)(210, 225)(211, 218)(212, 219)(213, 231)(216, 234)(220, 235)(221, 233)(224, 239)(228, 243)(229, 242)(230, 240)(232, 238)(236, 251)(237, 250)(241, 255)(244, 258)(245, 259)(246, 257)(247, 249)(248, 260)(252, 262)(253, 263)(254, 261)(256, 264)(265, 267)(266, 270)(268, 277)(269, 280)(271, 286)(272, 289)(273, 290)(274, 285)(275, 288)(276, 283)(278, 293)(279, 284)(281, 282)(287, 304)(291, 313)(292, 312)(294, 307)(295, 311)(296, 305)(297, 310)(298, 317)(299, 308)(300, 306)(301, 303)(302, 321)(309, 325)(314, 328)(315, 329)(316, 327)(318, 332)(319, 324)(320, 322)(323, 337)(326, 340)(330, 345)(331, 344)(333, 343)(334, 348)(335, 341)(336, 339)(338, 349)(342, 352)(346, 350)(347, 351)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 8 ), ( 8^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2225
Graph:: simple bipartite
	v = 92 e = 176 f = 44
	degree seq :: [ 2^88, 44^4 ]

E21.2225 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 22})
Quotient :: loop^2
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^11 ]
Map::
	R = (1, 89, 177, 265, 4, 92, 180, 268)(2, 90, 178, 266, 6, 94, 182, 270)(3, 91, 179, 267, 8, 96, 184, 272)(5, 93, 181, 269, 12, 100, 188, 276)(7, 95, 183, 271, 16, 104, 192, 280)(9, 97, 185, 273, 18, 106, 194, 282)(10, 98, 186, 274, 19, 107, 195, 283)(11, 99, 187, 275, 21, 109, 197, 285)(13, 101, 189, 277, 23, 111, 199, 287)(14, 102, 190, 278, 24, 112, 200, 288)(15, 103, 191, 279, 26, 114, 202, 290)(17, 105, 193, 281, 28, 116, 204, 292)(20, 108, 196, 284, 30, 118, 206, 294)(22, 110, 198, 286, 32, 120, 208, 296)(25, 113, 201, 289, 34, 122, 210, 298)(27, 115, 203, 291, 36, 124, 212, 300)(29, 117, 205, 293, 38, 126, 214, 302)(31, 119, 207, 295, 40, 128, 216, 304)(33, 121, 209, 297, 42, 130, 218, 306)(35, 123, 211, 299, 44, 132, 220, 308)(37, 125, 213, 301, 46, 134, 222, 310)(39, 127, 215, 303, 48, 136, 224, 312)(41, 129, 217, 305, 50, 138, 226, 314)(43, 131, 219, 307, 52, 140, 228, 316)(45, 133, 221, 309, 54, 142, 230, 318)(47, 135, 223, 311, 56, 144, 232, 320)(49, 137, 225, 313, 58, 146, 234, 322)(51, 139, 227, 315, 60, 148, 236, 324)(53, 141, 229, 317, 62, 150, 238, 326)(55, 143, 231, 319, 64, 152, 240, 328)(57, 145, 233, 321, 66, 154, 242, 330)(59, 147, 235, 323, 68, 156, 244, 332)(61, 149, 237, 325, 70, 158, 246, 334)(63, 151, 239, 327, 72, 160, 248, 336)(65, 153, 241, 329, 74, 162, 250, 338)(67, 155, 243, 331, 76, 164, 252, 340)(69, 157, 245, 333, 78, 166, 254, 342)(71, 159, 247, 335, 80, 168, 256, 344)(73, 161, 249, 337, 81, 169, 257, 345)(75, 163, 251, 339, 83, 171, 259, 347)(77, 165, 253, 341, 84, 172, 260, 348)(79, 167, 255, 343, 86, 174, 262, 350)(82, 170, 258, 346, 87, 175, 263, 351)(85, 173, 261, 349, 88, 176, 264, 352)
	L = (1, 90)(2, 89)(3, 95)(4, 97)(5, 99)(6, 101)(7, 91)(8, 105)(9, 92)(10, 104)(11, 93)(12, 110)(13, 94)(14, 109)(15, 113)(16, 98)(17, 96)(18, 111)(19, 116)(20, 117)(21, 102)(22, 100)(23, 106)(24, 120)(25, 103)(26, 123)(27, 122)(28, 107)(29, 108)(30, 127)(31, 126)(32, 112)(33, 129)(34, 115)(35, 114)(36, 132)(37, 133)(38, 119)(39, 118)(40, 136)(41, 121)(42, 139)(43, 138)(44, 124)(45, 125)(46, 143)(47, 142)(48, 128)(49, 145)(50, 131)(51, 130)(52, 148)(53, 149)(54, 135)(55, 134)(56, 152)(57, 137)(58, 155)(59, 154)(60, 140)(61, 141)(62, 159)(63, 158)(64, 144)(65, 161)(66, 147)(67, 146)(68, 164)(69, 165)(70, 151)(71, 150)(72, 168)(73, 153)(74, 170)(75, 169)(76, 156)(77, 157)(78, 173)(79, 172)(80, 160)(81, 163)(82, 162)(83, 175)(84, 167)(85, 166)(86, 176)(87, 171)(88, 174)(177, 267)(178, 269)(179, 265)(180, 274)(181, 266)(182, 278)(183, 279)(184, 277)(185, 276)(186, 268)(187, 284)(188, 273)(189, 272)(190, 270)(191, 271)(192, 291)(193, 290)(194, 288)(195, 287)(196, 275)(197, 295)(198, 294)(199, 283)(200, 282)(201, 297)(202, 281)(203, 280)(204, 300)(205, 301)(206, 286)(207, 285)(208, 304)(209, 289)(210, 307)(211, 306)(212, 292)(213, 293)(214, 311)(215, 310)(216, 296)(217, 313)(218, 299)(219, 298)(220, 316)(221, 317)(222, 303)(223, 302)(224, 320)(225, 305)(226, 323)(227, 322)(228, 308)(229, 309)(230, 327)(231, 326)(232, 312)(233, 329)(234, 315)(235, 314)(236, 332)(237, 333)(238, 319)(239, 318)(240, 336)(241, 321)(242, 339)(243, 338)(244, 324)(245, 325)(246, 343)(247, 342)(248, 328)(249, 341)(250, 331)(251, 330)(252, 347)(253, 337)(254, 335)(255, 334)(256, 350)(257, 349)(258, 348)(259, 340)(260, 346)(261, 345)(262, 344)(263, 352)(264, 351)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2224
Transitivity :: VT+
Graph:: bipartite
	v = 44 e = 176 f = 92
	degree seq :: [ 8^44 ]

E21.2226 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 22})
Quotient :: loop^2
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^10 * Y2 * Y1 ]
Map::
	R = (1, 89, 177, 265, 4, 92, 180, 268, 14, 102, 190, 278, 34, 122, 210, 298, 54, 142, 230, 318, 70, 158, 246, 334, 76, 164, 252, 340, 60, 148, 236, 324, 40, 128, 216, 304, 20, 108, 196, 284, 6, 94, 182, 270, 19, 107, 195, 283, 9, 97, 185, 273, 27, 115, 203, 291, 50, 138, 226, 314, 66, 154, 242, 330, 82, 170, 258, 346, 72, 160, 248, 336, 56, 144, 232, 320, 37, 125, 213, 301, 17, 105, 193, 281, 5, 93, 181, 269)(2, 90, 178, 266, 7, 95, 183, 271, 23, 111, 199, 287, 45, 133, 221, 309, 62, 150, 238, 326, 78, 166, 254, 342, 68, 156, 244, 332, 52, 140, 228, 316, 29, 117, 205, 293, 11, 99, 187, 275, 3, 91, 179, 267, 10, 98, 186, 274, 18, 106, 194, 282, 38, 126, 214, 302, 58, 146, 234, 322, 74, 162, 250, 338, 86, 174, 262, 350, 80, 168, 256, 344, 64, 152, 240, 328, 48, 136, 224, 312, 26, 114, 202, 290, 8, 96, 184, 272)(12, 100, 188, 276, 30, 118, 206, 294, 15, 103, 191, 279, 35, 123, 211, 299, 55, 143, 231, 319, 71, 159, 247, 335, 84, 172, 260, 348, 69, 157, 245, 333, 53, 141, 229, 317, 33, 121, 209, 297, 13, 101, 189, 277, 32, 120, 208, 296, 16, 104, 192, 280, 36, 124, 212, 300, 39, 127, 215, 303, 59, 147, 235, 323, 75, 163, 251, 339, 87, 175, 263, 351, 81, 169, 257, 345, 65, 153, 241, 329, 49, 137, 225, 313, 31, 119, 207, 295)(21, 109, 197, 285, 41, 129, 217, 305, 24, 112, 200, 288, 46, 134, 222, 310, 63, 151, 239, 327, 79, 167, 255, 343, 88, 176, 264, 352, 77, 165, 253, 341, 61, 149, 237, 325, 44, 132, 220, 308, 22, 110, 198, 286, 43, 131, 219, 307, 25, 113, 201, 289, 47, 135, 223, 311, 28, 116, 204, 292, 51, 139, 227, 315, 67, 155, 243, 331, 83, 171, 259, 347, 85, 173, 261, 349, 73, 161, 249, 337, 57, 145, 233, 321, 42, 130, 218, 306)
	L = (1, 90)(2, 89)(3, 97)(4, 100)(5, 103)(6, 106)(7, 109)(8, 112)(9, 91)(10, 113)(11, 116)(12, 92)(13, 115)(14, 114)(15, 93)(16, 107)(17, 111)(18, 94)(19, 104)(20, 127)(21, 95)(22, 126)(23, 105)(24, 96)(25, 98)(26, 102)(27, 101)(28, 99)(29, 138)(30, 129)(31, 134)(32, 135)(33, 139)(34, 137)(35, 130)(36, 131)(37, 143)(38, 110)(39, 108)(40, 146)(41, 118)(42, 123)(43, 124)(44, 147)(45, 145)(46, 119)(47, 120)(48, 151)(49, 122)(50, 117)(51, 121)(52, 155)(53, 154)(54, 152)(55, 125)(56, 150)(57, 133)(58, 128)(59, 132)(60, 163)(61, 162)(62, 144)(63, 136)(64, 142)(65, 167)(66, 141)(67, 140)(68, 170)(69, 171)(70, 169)(71, 161)(72, 172)(73, 159)(74, 149)(75, 148)(76, 174)(77, 175)(78, 173)(79, 153)(80, 176)(81, 158)(82, 156)(83, 157)(84, 160)(85, 166)(86, 164)(87, 165)(88, 168)(177, 267)(178, 270)(179, 265)(180, 277)(181, 280)(182, 266)(183, 286)(184, 289)(185, 290)(186, 285)(187, 288)(188, 283)(189, 268)(190, 293)(191, 284)(192, 269)(193, 282)(194, 281)(195, 276)(196, 279)(197, 274)(198, 271)(199, 304)(200, 275)(201, 272)(202, 273)(203, 313)(204, 312)(205, 278)(206, 307)(207, 311)(208, 305)(209, 310)(210, 317)(211, 308)(212, 306)(213, 303)(214, 321)(215, 301)(216, 287)(217, 296)(218, 300)(219, 294)(220, 299)(221, 325)(222, 297)(223, 295)(224, 292)(225, 291)(226, 328)(227, 329)(228, 327)(229, 298)(230, 332)(231, 324)(232, 322)(233, 302)(234, 320)(235, 337)(236, 319)(237, 309)(238, 340)(239, 316)(240, 314)(241, 315)(242, 345)(243, 344)(244, 318)(245, 343)(246, 348)(247, 341)(248, 339)(249, 323)(250, 349)(251, 336)(252, 326)(253, 335)(254, 352)(255, 333)(256, 331)(257, 330)(258, 350)(259, 351)(260, 334)(261, 338)(262, 346)(263, 347)(264, 342)
	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 E21.2223
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 176 f = 132
	degree seq :: [ 88^4 ]

E21.2227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 89, 2, 90)(3, 91, 9, 97)(4, 92, 12, 100)(5, 93, 14, 102)(6, 94, 15, 103)(7, 95, 18, 106)(8, 96, 20, 108)(10, 98, 21, 109)(11, 99, 22, 110)(13, 101, 19, 107)(16, 104, 25, 113)(17, 105, 26, 114)(23, 111, 31, 119)(24, 112, 32, 120)(27, 115, 35, 123)(28, 116, 36, 124)(29, 117, 37, 125)(30, 118, 38, 126)(33, 121, 41, 129)(34, 122, 42, 130)(39, 127, 47, 135)(40, 128, 48, 136)(43, 131, 51, 139)(44, 132, 52, 140)(45, 133, 53, 141)(46, 134, 54, 142)(49, 137, 57, 145)(50, 138, 58, 146)(55, 143, 63, 151)(56, 144, 64, 152)(59, 147, 67, 155)(60, 148, 68, 156)(61, 149, 69, 157)(62, 150, 70, 158)(65, 153, 73, 161)(66, 154, 74, 162)(71, 159, 79, 167)(72, 160, 80, 168)(75, 163, 83, 171)(76, 164, 84, 172)(77, 165, 85, 173)(78, 166, 86, 174)(81, 169, 87, 175)(82, 170, 88, 176)(177, 265, 179, 267)(178, 266, 182, 270)(180, 268, 187, 275)(181, 269, 186, 274)(183, 271, 193, 281)(184, 272, 192, 280)(185, 273, 195, 283)(188, 276, 197, 285)(189, 277, 191, 279)(190, 278, 198, 286)(194, 282, 201, 289)(196, 284, 202, 290)(199, 287, 206, 294)(200, 288, 205, 293)(203, 291, 210, 298)(204, 292, 209, 297)(207, 295, 213, 301)(208, 296, 214, 302)(211, 299, 217, 305)(212, 300, 218, 306)(215, 303, 222, 310)(216, 304, 221, 309)(219, 307, 226, 314)(220, 308, 225, 313)(223, 311, 229, 317)(224, 312, 230, 318)(227, 315, 233, 321)(228, 316, 234, 322)(231, 319, 238, 326)(232, 320, 237, 325)(235, 323, 242, 330)(236, 324, 241, 329)(239, 327, 245, 333)(240, 328, 246, 334)(243, 331, 249, 337)(244, 332, 250, 338)(247, 335, 254, 342)(248, 336, 253, 341)(251, 339, 258, 346)(252, 340, 257, 345)(255, 343, 261, 349)(256, 344, 262, 350)(259, 347, 263, 351)(260, 348, 264, 352)
	L = (1, 180)(2, 183)(3, 186)(4, 189)(5, 177)(6, 192)(7, 195)(8, 178)(9, 193)(10, 191)(11, 179)(12, 199)(13, 181)(14, 200)(15, 187)(16, 185)(17, 182)(18, 203)(19, 184)(20, 204)(21, 205)(22, 206)(23, 190)(24, 188)(25, 209)(26, 210)(27, 196)(28, 194)(29, 198)(30, 197)(31, 215)(32, 216)(33, 202)(34, 201)(35, 219)(36, 220)(37, 221)(38, 222)(39, 208)(40, 207)(41, 225)(42, 226)(43, 212)(44, 211)(45, 214)(46, 213)(47, 231)(48, 232)(49, 218)(50, 217)(51, 235)(52, 236)(53, 237)(54, 238)(55, 224)(56, 223)(57, 241)(58, 242)(59, 228)(60, 227)(61, 230)(62, 229)(63, 247)(64, 248)(65, 234)(66, 233)(67, 251)(68, 252)(69, 253)(70, 254)(71, 240)(72, 239)(73, 257)(74, 258)(75, 244)(76, 243)(77, 246)(78, 245)(79, 263)(80, 264)(81, 250)(82, 249)(83, 261)(84, 262)(85, 260)(86, 259)(87, 256)(88, 255)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2229
Graph:: simple bipartite
	v = 88 e = 176 f = 48
	degree seq :: [ 4^88 ]

E21.2228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 89, 2, 90)(3, 91, 9, 97)(4, 92, 12, 100)(5, 93, 14, 102)(6, 94, 15, 103)(7, 95, 18, 106)(8, 96, 20, 108)(10, 98, 21, 109)(11, 99, 22, 110)(13, 101, 19, 107)(16, 104, 25, 113)(17, 105, 26, 114)(23, 111, 31, 119)(24, 112, 32, 120)(27, 115, 35, 123)(28, 116, 36, 124)(29, 117, 37, 125)(30, 118, 38, 126)(33, 121, 41, 129)(34, 122, 42, 130)(39, 127, 47, 135)(40, 128, 48, 136)(43, 131, 51, 139)(44, 132, 52, 140)(45, 133, 53, 141)(46, 134, 54, 142)(49, 137, 57, 145)(50, 138, 58, 146)(55, 143, 63, 151)(56, 144, 64, 152)(59, 147, 67, 155)(60, 148, 68, 156)(61, 149, 69, 157)(62, 150, 70, 158)(65, 153, 73, 161)(66, 154, 74, 162)(71, 159, 79, 167)(72, 160, 80, 168)(75, 163, 83, 171)(76, 164, 84, 172)(77, 165, 85, 173)(78, 166, 86, 174)(81, 169, 88, 176)(82, 170, 87, 175)(177, 265, 179, 267)(178, 266, 182, 270)(180, 268, 187, 275)(181, 269, 186, 274)(183, 271, 193, 281)(184, 272, 192, 280)(185, 273, 195, 283)(188, 276, 197, 285)(189, 277, 191, 279)(190, 278, 198, 286)(194, 282, 201, 289)(196, 284, 202, 290)(199, 287, 206, 294)(200, 288, 205, 293)(203, 291, 210, 298)(204, 292, 209, 297)(207, 295, 213, 301)(208, 296, 214, 302)(211, 299, 217, 305)(212, 300, 218, 306)(215, 303, 222, 310)(216, 304, 221, 309)(219, 307, 226, 314)(220, 308, 225, 313)(223, 311, 229, 317)(224, 312, 230, 318)(227, 315, 233, 321)(228, 316, 234, 322)(231, 319, 238, 326)(232, 320, 237, 325)(235, 323, 242, 330)(236, 324, 241, 329)(239, 327, 245, 333)(240, 328, 246, 334)(243, 331, 249, 337)(244, 332, 250, 338)(247, 335, 254, 342)(248, 336, 253, 341)(251, 339, 258, 346)(252, 340, 257, 345)(255, 343, 261, 349)(256, 344, 262, 350)(259, 347, 264, 352)(260, 348, 263, 351)
	L = (1, 180)(2, 183)(3, 186)(4, 189)(5, 177)(6, 192)(7, 195)(8, 178)(9, 193)(10, 191)(11, 179)(12, 199)(13, 181)(14, 200)(15, 187)(16, 185)(17, 182)(18, 203)(19, 184)(20, 204)(21, 205)(22, 206)(23, 190)(24, 188)(25, 209)(26, 210)(27, 196)(28, 194)(29, 198)(30, 197)(31, 215)(32, 216)(33, 202)(34, 201)(35, 219)(36, 220)(37, 221)(38, 222)(39, 208)(40, 207)(41, 225)(42, 226)(43, 212)(44, 211)(45, 214)(46, 213)(47, 231)(48, 232)(49, 218)(50, 217)(51, 235)(52, 236)(53, 237)(54, 238)(55, 224)(56, 223)(57, 241)(58, 242)(59, 228)(60, 227)(61, 230)(62, 229)(63, 247)(64, 248)(65, 234)(66, 233)(67, 251)(68, 252)(69, 253)(70, 254)(71, 240)(72, 239)(73, 257)(74, 258)(75, 244)(76, 243)(77, 246)(78, 245)(79, 263)(80, 264)(81, 250)(82, 249)(83, 262)(84, 261)(85, 259)(86, 260)(87, 256)(88, 255)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2230
Graph:: simple bipartite
	v = 88 e = 176 f = 48
	degree seq :: [ 4^88 ]

E21.2229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1^-2)^2, Y3^-1 * Y1^-2 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y1^4 * Y2 * Y1^-1 * Y3^-1 * Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 89, 2, 90, 7, 95, 20, 108, 37, 125, 53, 141, 69, 157, 78, 166, 64, 152, 46, 134, 32, 120, 12, 100, 25, 113, 41, 129, 57, 145, 73, 161, 84, 172, 68, 156, 52, 140, 36, 124, 19, 107, 5, 93)(3, 91, 11, 99, 29, 117, 45, 133, 61, 149, 77, 165, 72, 160, 55, 143, 40, 128, 22, 110, 10, 98, 4, 92, 15, 103, 33, 121, 49, 137, 65, 153, 81, 169, 74, 162, 54, 142, 42, 130, 21, 109, 13, 101)(6, 94, 18, 106, 35, 123, 51, 139, 67, 155, 83, 171, 70, 158, 58, 146, 38, 126, 26, 114, 8, 96, 24, 112, 17, 105, 34, 122, 50, 138, 66, 154, 82, 170, 71, 159, 56, 144, 39, 127, 23, 111, 9, 97)(14, 102, 27, 115, 43, 131, 59, 147, 75, 163, 85, 173, 87, 175, 80, 168, 62, 150, 48, 136, 30, 118, 16, 104, 28, 116, 44, 132, 60, 148, 76, 164, 86, 174, 88, 176, 79, 167, 63, 151, 47, 135, 31, 119)(177, 265, 179, 267)(178, 266, 184, 272)(180, 268, 190, 278)(181, 269, 193, 281)(182, 270, 188, 276)(183, 271, 197, 285)(185, 273, 203, 291)(186, 274, 201, 289)(187, 275, 206, 294)(189, 277, 204, 292)(191, 279, 208, 296)(192, 280, 200, 288)(194, 282, 207, 295)(195, 283, 205, 293)(196, 284, 214, 302)(198, 286, 219, 307)(199, 287, 217, 305)(202, 290, 220, 308)(209, 297, 223, 311)(210, 298, 224, 312)(211, 299, 222, 310)(212, 300, 226, 314)(213, 301, 230, 318)(215, 303, 235, 323)(216, 304, 233, 321)(218, 306, 236, 324)(221, 309, 238, 326)(225, 313, 240, 328)(227, 315, 239, 327)(228, 316, 237, 325)(229, 317, 246, 334)(231, 319, 251, 339)(232, 320, 249, 337)(234, 322, 252, 340)(241, 329, 255, 343)(242, 330, 256, 344)(243, 331, 254, 342)(244, 332, 258, 346)(245, 333, 257, 345)(247, 335, 261, 349)(248, 336, 260, 348)(250, 338, 262, 350)(253, 341, 263, 351)(259, 347, 264, 352)
	L = (1, 180)(2, 185)(3, 188)(4, 192)(5, 194)(6, 177)(7, 198)(8, 201)(9, 204)(10, 178)(11, 207)(12, 200)(13, 203)(14, 179)(15, 181)(16, 182)(17, 208)(18, 206)(19, 209)(20, 215)(21, 217)(22, 220)(23, 183)(24, 190)(25, 189)(26, 219)(27, 184)(28, 186)(29, 222)(30, 191)(31, 193)(32, 187)(33, 224)(34, 223)(35, 195)(36, 227)(37, 231)(38, 233)(39, 236)(40, 196)(41, 202)(42, 235)(43, 197)(44, 199)(45, 239)(46, 210)(47, 205)(48, 211)(49, 212)(50, 240)(51, 238)(52, 241)(53, 247)(54, 249)(55, 252)(56, 213)(57, 218)(58, 251)(59, 214)(60, 216)(61, 254)(62, 225)(63, 226)(64, 221)(65, 256)(66, 255)(67, 228)(68, 259)(69, 253)(70, 260)(71, 262)(72, 229)(73, 234)(74, 261)(75, 230)(76, 232)(77, 264)(78, 242)(79, 237)(80, 243)(81, 244)(82, 245)(83, 263)(84, 250)(85, 246)(86, 248)(87, 257)(88, 258)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4^4 ), ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2227
Graph:: simple bipartite
	v = 48 e = 176 f = 88
	degree seq :: [ 4^44, 44^4 ]

E21.2230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = (C22 x C2) : C2 (small group id <88, 7>)
Aut   = D8 x D22 (small group id <176, 31>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y3^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-3 * Y3 * Y2 * Y1^4 * Y3^-1, Y1^4 * Y3^-1 * Y1^-7 * Y2, Y1^3 * Y3 * Y1^-1 * Y2 * Y1^2 * Y3^-1 * Y1^-2 * Y2 * Y1^3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 89, 2, 90, 7, 95, 20, 108, 37, 125, 53, 141, 69, 157, 79, 167, 63, 151, 47, 135, 31, 119, 14, 102, 27, 115, 43, 131, 59, 147, 75, 163, 84, 172, 68, 156, 52, 140, 36, 124, 19, 107, 5, 93)(3, 91, 11, 99, 29, 117, 45, 133, 61, 149, 77, 165, 71, 159, 56, 144, 39, 127, 23, 111, 9, 97, 6, 94, 18, 106, 35, 123, 51, 139, 67, 155, 83, 171, 74, 162, 54, 142, 42, 130, 21, 109, 13, 101)(4, 92, 15, 103, 33, 121, 49, 137, 65, 153, 81, 169, 70, 158, 58, 146, 38, 126, 26, 114, 8, 96, 24, 112, 17, 105, 34, 122, 50, 138, 66, 154, 82, 170, 72, 160, 55, 143, 40, 128, 22, 110, 10, 98)(12, 100, 25, 113, 41, 129, 57, 145, 73, 161, 85, 173, 87, 175, 80, 168, 62, 150, 48, 136, 30, 118, 16, 104, 28, 116, 44, 132, 60, 148, 76, 164, 86, 174, 88, 176, 78, 166, 64, 152, 46, 134, 32, 120)(177, 265, 179, 267)(178, 266, 184, 272)(180, 268, 190, 278)(181, 269, 193, 281)(182, 270, 188, 276)(183, 271, 197, 285)(185, 273, 203, 291)(186, 274, 201, 289)(187, 275, 206, 294)(189, 277, 204, 292)(191, 279, 208, 296)(192, 280, 200, 288)(194, 282, 207, 295)(195, 283, 205, 293)(196, 284, 214, 302)(198, 286, 219, 307)(199, 287, 217, 305)(202, 290, 220, 308)(209, 297, 223, 311)(210, 298, 224, 312)(211, 299, 222, 310)(212, 300, 226, 314)(213, 301, 230, 318)(215, 303, 235, 323)(216, 304, 233, 321)(218, 306, 236, 324)(221, 309, 238, 326)(225, 313, 240, 328)(227, 315, 239, 327)(228, 316, 237, 325)(229, 317, 246, 334)(231, 319, 251, 339)(232, 320, 249, 337)(234, 322, 252, 340)(241, 329, 255, 343)(242, 330, 256, 344)(243, 331, 254, 342)(244, 332, 258, 346)(245, 333, 259, 347)(247, 335, 260, 348)(248, 336, 261, 349)(250, 338, 262, 350)(253, 341, 263, 351)(257, 345, 264, 352)
	L = (1, 180)(2, 185)(3, 188)(4, 192)(5, 194)(6, 177)(7, 198)(8, 201)(9, 204)(10, 178)(11, 207)(12, 200)(13, 203)(14, 179)(15, 181)(16, 182)(17, 208)(18, 206)(19, 209)(20, 215)(21, 217)(22, 220)(23, 183)(24, 190)(25, 189)(26, 219)(27, 184)(28, 186)(29, 222)(30, 191)(31, 193)(32, 187)(33, 224)(34, 223)(35, 195)(36, 227)(37, 231)(38, 233)(39, 236)(40, 196)(41, 202)(42, 235)(43, 197)(44, 199)(45, 239)(46, 210)(47, 205)(48, 211)(49, 212)(50, 240)(51, 238)(52, 241)(53, 247)(54, 249)(55, 252)(56, 213)(57, 218)(58, 251)(59, 214)(60, 216)(61, 254)(62, 225)(63, 226)(64, 221)(65, 256)(66, 255)(67, 228)(68, 259)(69, 258)(70, 261)(71, 262)(72, 229)(73, 234)(74, 260)(75, 230)(76, 232)(77, 245)(78, 242)(79, 237)(80, 243)(81, 244)(82, 264)(83, 263)(84, 246)(85, 250)(86, 248)(87, 257)(88, 253)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4^4 ), ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2228
Graph:: bipartite
	v = 48 e = 176 f = 88
	degree seq :: [ 4^44, 44^4 ]

E21.2231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = C2 x C2 x D22 (small group id <88, 11>)
Aut   = C2 x C2 x C2 x D22 (small group id <176, 41>)
|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)^22 ]
Map:: polytopal non-degenerate
	R = (1, 89, 2, 90)(3, 91, 5, 93)(4, 92, 8, 96)(6, 94, 10, 98)(7, 95, 11, 99)(9, 97, 13, 101)(12, 100, 16, 104)(14, 102, 18, 106)(15, 103, 19, 107)(17, 105, 21, 109)(20, 108, 24, 112)(22, 110, 26, 114)(23, 111, 27, 115)(25, 113, 29, 117)(28, 116, 32, 120)(30, 118, 35, 123)(31, 119, 33, 121)(34, 122, 47, 135)(36, 124, 51, 139)(37, 125, 53, 141)(38, 126, 49, 137)(39, 127, 55, 143)(40, 128, 57, 145)(41, 129, 59, 147)(42, 130, 61, 149)(43, 131, 63, 151)(44, 132, 65, 153)(45, 133, 67, 155)(46, 134, 69, 157)(48, 136, 71, 159)(50, 138, 73, 161)(52, 140, 77, 165)(54, 142, 79, 167)(56, 144, 75, 163)(58, 146, 83, 171)(60, 148, 85, 173)(62, 150, 81, 169)(64, 152, 87, 175)(66, 154, 88, 176)(68, 156, 82, 170)(70, 158, 86, 174)(72, 160, 84, 172)(74, 162, 76, 164)(78, 166, 80, 168)(177, 265, 179, 267)(178, 266, 181, 269)(180, 268, 183, 271)(182, 270, 185, 273)(184, 272, 187, 275)(186, 274, 189, 277)(188, 276, 191, 279)(190, 278, 193, 281)(192, 280, 195, 283)(194, 282, 197, 285)(196, 284, 199, 287)(198, 286, 201, 289)(200, 288, 203, 291)(202, 290, 205, 293)(204, 292, 207, 295)(206, 294, 223, 311)(208, 296, 209, 297)(210, 298, 211, 299)(212, 300, 214, 302)(213, 301, 215, 303)(216, 304, 218, 306)(217, 305, 219, 307)(220, 308, 222, 310)(221, 309, 224, 312)(225, 313, 227, 315)(226, 314, 228, 316)(229, 317, 231, 319)(230, 318, 232, 320)(233, 321, 237, 325)(234, 322, 238, 326)(235, 323, 239, 327)(236, 324, 240, 328)(241, 329, 245, 333)(242, 330, 246, 334)(243, 331, 247, 335)(244, 332, 248, 336)(249, 337, 253, 341)(250, 338, 254, 342)(251, 339, 255, 343)(252, 340, 256, 344)(257, 345, 259, 347)(258, 346, 260, 348)(261, 349, 263, 351)(262, 350, 264, 352)
	L = (1, 180)(2, 182)(3, 183)(4, 177)(5, 185)(6, 178)(7, 179)(8, 188)(9, 181)(10, 190)(11, 191)(12, 184)(13, 193)(14, 186)(15, 187)(16, 196)(17, 189)(18, 198)(19, 199)(20, 192)(21, 201)(22, 194)(23, 195)(24, 204)(25, 197)(26, 206)(27, 207)(28, 200)(29, 223)(30, 202)(31, 203)(32, 225)(33, 227)(34, 229)(35, 231)(36, 233)(37, 235)(38, 237)(39, 239)(40, 241)(41, 243)(42, 245)(43, 247)(44, 249)(45, 251)(46, 253)(47, 205)(48, 255)(49, 208)(50, 257)(51, 209)(52, 259)(53, 210)(54, 261)(55, 211)(56, 263)(57, 212)(58, 264)(59, 213)(60, 258)(61, 214)(62, 262)(63, 215)(64, 260)(65, 216)(66, 252)(67, 217)(68, 250)(69, 218)(70, 256)(71, 219)(72, 254)(73, 220)(74, 244)(75, 221)(76, 242)(77, 222)(78, 248)(79, 224)(80, 246)(81, 226)(82, 236)(83, 228)(84, 240)(85, 230)(86, 238)(87, 232)(88, 234)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2232
Graph:: simple bipartite
	v = 88 e = 176 f = 48
	degree seq :: [ 4^88 ]

E21.2232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 22})
Quotient :: dipole
Aut^+ = C2 x C2 x D22 (small group id <88, 11>)
Aut   = C2 x C2 x C2 x D22 (small group id <176, 41>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, Y1^22 ]
Map:: polytopal non-degenerate
	R = (1, 89, 2, 90, 6, 94, 13, 101, 21, 109, 29, 117, 37, 125, 45, 133, 53, 141, 61, 149, 69, 157, 77, 165, 76, 164, 68, 156, 60, 148, 52, 140, 44, 132, 36, 124, 28, 116, 20, 108, 12, 100, 5, 93)(3, 91, 9, 97, 17, 105, 25, 113, 33, 121, 41, 129, 49, 137, 57, 145, 65, 153, 73, 161, 81, 169, 84, 172, 78, 166, 70, 158, 62, 150, 54, 142, 46, 134, 38, 126, 30, 118, 22, 110, 14, 102, 7, 95)(4, 92, 11, 99, 19, 107, 27, 115, 35, 123, 43, 131, 51, 139, 59, 147, 67, 155, 75, 163, 83, 171, 85, 173, 79, 167, 71, 159, 63, 151, 55, 143, 47, 135, 39, 127, 31, 119, 23, 111, 15, 103, 8, 96)(10, 98, 16, 104, 24, 112, 32, 120, 40, 128, 48, 136, 56, 144, 64, 152, 72, 160, 80, 168, 86, 174, 88, 176, 87, 175, 82, 170, 74, 162, 66, 154, 58, 146, 50, 138, 42, 130, 34, 122, 26, 114, 18, 106)(177, 265, 179, 267)(178, 266, 183, 271)(180, 268, 186, 274)(181, 269, 185, 273)(182, 270, 190, 278)(184, 272, 192, 280)(187, 275, 194, 282)(188, 276, 193, 281)(189, 277, 198, 286)(191, 279, 200, 288)(195, 283, 202, 290)(196, 284, 201, 289)(197, 285, 206, 294)(199, 287, 208, 296)(203, 291, 210, 298)(204, 292, 209, 297)(205, 293, 214, 302)(207, 295, 216, 304)(211, 299, 218, 306)(212, 300, 217, 305)(213, 301, 222, 310)(215, 303, 224, 312)(219, 307, 226, 314)(220, 308, 225, 313)(221, 309, 230, 318)(223, 311, 232, 320)(227, 315, 234, 322)(228, 316, 233, 321)(229, 317, 238, 326)(231, 319, 240, 328)(235, 323, 242, 330)(236, 324, 241, 329)(237, 325, 246, 334)(239, 327, 248, 336)(243, 331, 250, 338)(244, 332, 249, 337)(245, 333, 254, 342)(247, 335, 256, 344)(251, 339, 258, 346)(252, 340, 257, 345)(253, 341, 260, 348)(255, 343, 262, 350)(259, 347, 263, 351)(261, 349, 264, 352)
	L = (1, 180)(2, 184)(3, 186)(4, 177)(5, 187)(6, 191)(7, 192)(8, 178)(9, 194)(10, 179)(11, 181)(12, 195)(13, 199)(14, 200)(15, 182)(16, 183)(17, 202)(18, 185)(19, 188)(20, 203)(21, 207)(22, 208)(23, 189)(24, 190)(25, 210)(26, 193)(27, 196)(28, 211)(29, 215)(30, 216)(31, 197)(32, 198)(33, 218)(34, 201)(35, 204)(36, 219)(37, 223)(38, 224)(39, 205)(40, 206)(41, 226)(42, 209)(43, 212)(44, 227)(45, 231)(46, 232)(47, 213)(48, 214)(49, 234)(50, 217)(51, 220)(52, 235)(53, 239)(54, 240)(55, 221)(56, 222)(57, 242)(58, 225)(59, 228)(60, 243)(61, 247)(62, 248)(63, 229)(64, 230)(65, 250)(66, 233)(67, 236)(68, 251)(69, 255)(70, 256)(71, 237)(72, 238)(73, 258)(74, 241)(75, 244)(76, 259)(77, 261)(78, 262)(79, 245)(80, 246)(81, 263)(82, 249)(83, 252)(84, 264)(85, 253)(86, 254)(87, 257)(88, 260)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4^4 ), ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2231
Graph:: simple bipartite
	v = 48 e = 176 f = 88
	degree seq :: [ 4^44, 44^4 ]

E21.2233 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 22})
Quotient :: edge
Aut^+ = C2 x (C11 : C4) (small group id <88, 6>)
Aut   = C2 x ((C22 x C2) : C2) (small group id <176, 36>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^22 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 86, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 87, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 84, 88, 85, 78, 70, 62, 54, 46, 38, 30, 22, 14)(89, 90, 94, 92)(91, 96, 101, 98)(93, 95, 102, 99)(97, 104, 109, 106)(100, 103, 110, 107)(105, 112, 117, 114)(108, 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, 172, 170)(164, 167, 173, 171)(169, 174, 176, 175)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 8^4 ), ( 8^22 ) }
Outer automorphisms :: reflexible
Dual of E21.2234
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 88 f = 22
	degree seq :: [ 4^22, 22^4 ]

E21.2234 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 22})
Quotient :: loop
Aut^+ = C2 x (C11 : C4) (small group id <88, 6>)
Aut   = C2 x ((C22 x C2) : C2) (small group id <176, 36>)
|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)^22 ]
Map:: non-degenerate
	R = (1, 89, 3, 91, 6, 94, 5, 93)(2, 90, 7, 95, 4, 92, 8, 96)(9, 97, 13, 101, 10, 98, 14, 102)(11, 99, 15, 103, 12, 100, 16, 104)(17, 105, 21, 109, 18, 106, 22, 110)(19, 107, 23, 111, 20, 108, 24, 112)(25, 113, 29, 117, 26, 114, 30, 118)(27, 115, 31, 119, 28, 116, 32, 120)(33, 121, 53, 141, 34, 122, 54, 142)(35, 123, 55, 143, 38, 126, 56, 144)(36, 124, 57, 145, 37, 125, 58, 146)(39, 127, 59, 147, 40, 128, 60, 148)(41, 129, 61, 149, 42, 130, 62, 150)(43, 131, 63, 151, 44, 132, 64, 152)(45, 133, 65, 153, 46, 134, 66, 154)(47, 135, 67, 155, 48, 136, 68, 156)(49, 137, 69, 157, 50, 138, 70, 158)(51, 139, 71, 159, 52, 140, 72, 160)(73, 161, 88, 176, 74, 162, 87, 175)(75, 163, 85, 173, 76, 164, 86, 174)(77, 165, 84, 172, 78, 166, 83, 171)(79, 167, 81, 169, 80, 168, 82, 170)
	L = (1, 90)(2, 94)(3, 97)(4, 89)(5, 98)(6, 92)(7, 99)(8, 100)(9, 93)(10, 91)(11, 96)(12, 95)(13, 105)(14, 106)(15, 107)(16, 108)(17, 102)(18, 101)(19, 104)(20, 103)(21, 113)(22, 114)(23, 115)(24, 116)(25, 110)(26, 109)(27, 112)(28, 111)(29, 121)(30, 122)(31, 123)(32, 126)(33, 118)(34, 117)(35, 120)(36, 142)(37, 141)(38, 119)(39, 144)(40, 143)(41, 146)(42, 145)(43, 148)(44, 147)(45, 150)(46, 149)(47, 152)(48, 151)(49, 154)(50, 153)(51, 156)(52, 155)(53, 124)(54, 125)(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, 161)(70, 162)(71, 163)(72, 164)(73, 158)(74, 157)(75, 160)(76, 159)(77, 175)(78, 176)(79, 174)(80, 173)(81, 171)(82, 172)(83, 170)(84, 169)(85, 167)(86, 168)(87, 166)(88, 165)
	local type(s) :: { ( 4, 22, 4, 22, 4, 22, 4, 22 ) }
Outer automorphisms :: reflexible
Dual of E21.2233
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 22 e = 88 f = 26
	degree seq :: [ 8^22 ]

E21.2235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 22})
Quotient :: dipole
Aut^+ = C2 x (C11 : C4) (small group id <88, 6>)
Aut   = C2 x ((C22 x C2) : C2) (small group id <176, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^22 ]
Map::
	R = (1, 89, 2, 90, 6, 94, 4, 92)(3, 91, 8, 96, 13, 101, 10, 98)(5, 93, 7, 95, 14, 102, 11, 99)(9, 97, 16, 104, 21, 109, 18, 106)(12, 100, 15, 103, 22, 110, 19, 107)(17, 105, 24, 112, 29, 117, 26, 114)(20, 108, 23, 111, 30, 118, 27, 115)(25, 113, 32, 120, 37, 125, 34, 122)(28, 116, 31, 119, 38, 126, 35, 123)(33, 121, 40, 128, 45, 133, 42, 130)(36, 124, 39, 127, 46, 134, 43, 131)(41, 129, 48, 136, 53, 141, 50, 138)(44, 132, 47, 135, 54, 142, 51, 139)(49, 137, 56, 144, 61, 149, 58, 146)(52, 140, 55, 143, 62, 150, 59, 147)(57, 145, 64, 152, 69, 157, 66, 154)(60, 148, 63, 151, 70, 158, 67, 155)(65, 153, 72, 160, 77, 165, 74, 162)(68, 156, 71, 159, 78, 166, 75, 163)(73, 161, 80, 168, 84, 172, 82, 170)(76, 164, 79, 167, 85, 173, 83, 171)(81, 169, 86, 174, 88, 176, 87, 175)(177, 265, 179, 267, 185, 273, 193, 281, 201, 289, 209, 297, 217, 305, 225, 313, 233, 321, 241, 329, 249, 337, 257, 345, 252, 340, 244, 332, 236, 324, 228, 316, 220, 308, 212, 300, 204, 292, 196, 284, 188, 276, 181, 269)(178, 266, 183, 271, 191, 279, 199, 287, 207, 295, 215, 303, 223, 311, 231, 319, 239, 327, 247, 335, 255, 343, 262, 350, 256, 344, 248, 336, 240, 328, 232, 320, 224, 312, 216, 304, 208, 296, 200, 288, 192, 280, 184, 272)(180, 268, 187, 275, 195, 283, 203, 291, 211, 299, 219, 307, 227, 315, 235, 323, 243, 331, 251, 339, 259, 347, 263, 351, 258, 346, 250, 338, 242, 330, 234, 322, 226, 314, 218, 306, 210, 298, 202, 290, 194, 282, 186, 274)(182, 270, 189, 277, 197, 285, 205, 293, 213, 301, 221, 309, 229, 317, 237, 325, 245, 333, 253, 341, 260, 348, 264, 352, 261, 349, 254, 342, 246, 334, 238, 326, 230, 318, 222, 310, 214, 302, 206, 294, 198, 286, 190, 278)
	L = (1, 179)(2, 183)(3, 185)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 193)(10, 180)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 201)(18, 186)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 209)(26, 194)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 217)(34, 202)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 225)(42, 210)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 233)(50, 218)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 241)(58, 226)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 249)(66, 234)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 257)(74, 242)(75, 259)(76, 244)(77, 260)(78, 246)(79, 262)(80, 248)(81, 252)(82, 250)(83, 263)(84, 264)(85, 254)(86, 256)(87, 258)(88, 261)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2236
Graph:: bipartite
	v = 26 e = 176 f = 110
	degree seq :: [ 8^22, 44^4 ]

E21.2236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 22})
Quotient :: dipole
Aut^+ = C2 x (C11 : C4) (small group id <88, 6>)
Aut   = C2 x ((C22 x C2) : C2) (small group id <176, 36>)
|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, Y3^10 * Y2 * Y3^-12 * Y2^-1, (Y3^-1 * Y1^-1)^22 ]
Map::
	R = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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)(177, 265, 178, 266, 182, 270, 180, 268)(179, 267, 184, 272, 189, 277, 186, 274)(181, 269, 183, 271, 190, 278, 187, 275)(185, 273, 192, 280, 197, 285, 194, 282)(188, 276, 191, 279, 198, 286, 195, 283)(193, 281, 200, 288, 205, 293, 202, 290)(196, 284, 199, 287, 206, 294, 203, 291)(201, 289, 208, 296, 213, 301, 210, 298)(204, 292, 207, 295, 214, 302, 211, 299)(209, 297, 216, 304, 221, 309, 218, 306)(212, 300, 215, 303, 222, 310, 219, 307)(217, 305, 224, 312, 229, 317, 226, 314)(220, 308, 223, 311, 230, 318, 227, 315)(225, 313, 232, 320, 237, 325, 234, 322)(228, 316, 231, 319, 238, 326, 235, 323)(233, 321, 240, 328, 245, 333, 242, 330)(236, 324, 239, 327, 246, 334, 243, 331)(241, 329, 248, 336, 253, 341, 250, 338)(244, 332, 247, 335, 254, 342, 251, 339)(249, 337, 256, 344, 260, 348, 258, 346)(252, 340, 255, 343, 261, 349, 259, 347)(257, 345, 262, 350, 264, 352, 263, 351)
	L = (1, 179)(2, 183)(3, 185)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 193)(10, 180)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 201)(18, 186)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 209)(26, 194)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 217)(34, 202)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 225)(42, 210)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 233)(50, 218)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 241)(58, 226)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 249)(66, 234)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 257)(74, 242)(75, 259)(76, 244)(77, 260)(78, 246)(79, 262)(80, 248)(81, 252)(82, 250)(83, 263)(84, 264)(85, 254)(86, 256)(87, 258)(88, 261)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 44 ), ( 8, 44, 8, 44, 8, 44, 8, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2235
Graph:: simple bipartite
	v = 110 e = 176 f = 26
	degree seq :: [ 2^88, 8^22 ]

E21.2237 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 44, 44})
Quotient :: regular
Aut^+ = C44 x C2 (small group id <88, 8>)
Aut   = C2 x D88 (small group id <176, 29>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^44 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 43, 39, 35, 38, 42, 46, 48, 50, 52, 54, 67, 63, 59, 56, 57, 60, 64, 68, 70, 72, 74, 76, 87, 84, 81, 83, 86, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 44, 40, 36, 33, 34, 37, 41, 45, 47, 49, 51, 53, 66, 62, 58, 61, 65, 69, 71, 73, 75, 77, 88, 85, 82, 79, 80, 78, 55, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 44)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(45, 48)(47, 50)(49, 52)(51, 54)(53, 67)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 69)(68, 71)(70, 73)(72, 75)(74, 77)(76, 88)(78, 86)(79, 81)(80, 83)(82, 84)(85, 87)
	local type(s) :: { ( 44^44 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 44 f = 2
	degree seq :: [ 44^2 ]

E21.2238 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 44, 44})
Quotient :: edge
Aut^+ = C44 x C2 (small group id <88, 8>)
Aut   = C2 x D88 (small group id <176, 29>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^44 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 42, 38, 34, 37, 41, 45, 47, 49, 51, 53, 67, 63, 59, 56, 58, 62, 66, 69, 71, 73, 75, 77, 87, 84, 80, 83, 86, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 44, 40, 36, 33, 35, 39, 43, 46, 48, 50, 52, 54, 65, 61, 57, 60, 64, 68, 70, 72, 74, 76, 88, 85, 82, 79, 81, 78, 55, 30, 26, 22, 18, 14, 10, 6)(89, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 132)(120, 143)(121, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(134, 135)(136, 137)(138, 139)(140, 141)(142, 155)(144, 145)(146, 148)(147, 149)(150, 152)(151, 153)(154, 156)(157, 158)(159, 160)(161, 162)(163, 164)(165, 176)(166, 174)(167, 168)(169, 171)(170, 172)(173, 175)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(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) :: { ( 88, 88 ), ( 88^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2239
Transitivity :: ET+
Graph:: simple bipartite
	v = 46 e = 88 f = 2
	degree seq :: [ 2^44, 44^2 ]

E21.2239 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 44, 44})
Quotient :: loop
Aut^+ = C44 x C2 (small group id <88, 8>)
Aut   = C2 x D88 (small group id <176, 29>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^44 ]
Map::
	R = (1, 89, 3, 91, 7, 95, 11, 99, 15, 103, 19, 107, 23, 111, 27, 115, 31, 119, 34, 122, 37, 125, 39, 127, 41, 129, 43, 131, 45, 133, 47, 135, 49, 137, 55, 143, 52, 140, 54, 142, 57, 145, 59, 147, 61, 149, 63, 151, 65, 153, 67, 155, 69, 157, 71, 159, 75, 163, 77, 165, 79, 167, 81, 169, 83, 171, 85, 173, 87, 175, 88, 176, 32, 120, 28, 116, 24, 112, 20, 108, 16, 104, 12, 100, 8, 96, 4, 92)(2, 90, 5, 93, 9, 97, 13, 101, 17, 105, 21, 109, 25, 113, 29, 117, 36, 124, 33, 121, 35, 123, 38, 126, 40, 128, 42, 130, 44, 132, 46, 134, 48, 136, 50, 138, 53, 141, 56, 144, 58, 146, 60, 148, 62, 150, 64, 152, 66, 154, 68, 156, 74, 162, 72, 160, 73, 161, 76, 164, 78, 166, 80, 168, 82, 170, 84, 172, 86, 174, 70, 158, 51, 139, 30, 118, 26, 114, 22, 110, 18, 106, 14, 102, 10, 98, 6, 94)
	L = (1, 90)(2, 89)(3, 93)(4, 94)(5, 91)(6, 92)(7, 97)(8, 98)(9, 95)(10, 96)(11, 101)(12, 102)(13, 99)(14, 100)(15, 105)(16, 106)(17, 103)(18, 104)(19, 109)(20, 110)(21, 107)(22, 108)(23, 113)(24, 114)(25, 111)(26, 112)(27, 117)(28, 118)(29, 115)(30, 116)(31, 124)(32, 139)(33, 122)(34, 121)(35, 125)(36, 119)(37, 123)(38, 127)(39, 126)(40, 129)(41, 128)(42, 131)(43, 130)(44, 133)(45, 132)(46, 135)(47, 134)(48, 137)(49, 136)(50, 143)(51, 120)(52, 141)(53, 140)(54, 144)(55, 138)(56, 142)(57, 146)(58, 145)(59, 148)(60, 147)(61, 150)(62, 149)(63, 152)(64, 151)(65, 154)(66, 153)(67, 156)(68, 155)(69, 162)(70, 176)(71, 160)(72, 159)(73, 163)(74, 157)(75, 161)(76, 165)(77, 164)(78, 167)(79, 166)(80, 169)(81, 168)(82, 171)(83, 170)(84, 173)(85, 172)(86, 175)(87, 174)(88, 158)
	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, 2, 44, 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2238
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 88 f = 46
	degree seq :: [ 88^2 ]

E21.2240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 44, 44})
Quotient :: dipole
Aut^+ = C44 x C2 (small group id <88, 8>)
Aut   = C2 x D88 (small group id <176, 29>)
|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, Y2^44, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 89, 2, 90)(3, 91, 5, 93)(4, 92, 6, 94)(7, 95, 9, 97)(8, 96, 10, 98)(11, 99, 13, 101)(12, 100, 14, 102)(15, 103, 17, 105)(16, 104, 18, 106)(19, 107, 21, 109)(20, 108, 22, 110)(23, 111, 25, 113)(24, 112, 26, 114)(27, 115, 29, 117)(28, 116, 30, 118)(31, 119, 36, 124)(32, 120, 51, 139)(33, 121, 34, 122)(35, 123, 37, 125)(38, 126, 39, 127)(40, 128, 41, 129)(42, 130, 43, 131)(44, 132, 45, 133)(46, 134, 47, 135)(48, 136, 49, 137)(50, 138, 55, 143)(52, 140, 53, 141)(54, 142, 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, 74, 162)(70, 158, 88, 176)(71, 159, 72, 160)(73, 161, 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)(177, 265, 179, 267, 183, 271, 187, 275, 191, 279, 195, 283, 199, 287, 203, 291, 207, 295, 210, 298, 213, 301, 215, 303, 217, 305, 219, 307, 221, 309, 223, 311, 225, 313, 231, 319, 228, 316, 230, 318, 233, 321, 235, 323, 237, 325, 239, 327, 241, 329, 243, 331, 245, 333, 247, 335, 251, 339, 253, 341, 255, 343, 257, 345, 259, 347, 261, 349, 263, 351, 264, 352, 208, 296, 204, 292, 200, 288, 196, 284, 192, 280, 188, 276, 184, 272, 180, 268)(178, 266, 181, 269, 185, 273, 189, 277, 193, 281, 197, 285, 201, 289, 205, 293, 212, 300, 209, 297, 211, 299, 214, 302, 216, 304, 218, 306, 220, 308, 222, 310, 224, 312, 226, 314, 229, 317, 232, 320, 234, 322, 236, 324, 238, 326, 240, 328, 242, 330, 244, 332, 250, 338, 248, 336, 249, 337, 252, 340, 254, 342, 256, 344, 258, 346, 260, 348, 262, 350, 246, 334, 227, 315, 206, 294, 202, 290, 198, 286, 194, 282, 190, 278, 186, 274, 182, 270)
	L = (1, 178)(2, 177)(3, 181)(4, 182)(5, 179)(6, 180)(7, 185)(8, 186)(9, 183)(10, 184)(11, 189)(12, 190)(13, 187)(14, 188)(15, 193)(16, 194)(17, 191)(18, 192)(19, 197)(20, 198)(21, 195)(22, 196)(23, 201)(24, 202)(25, 199)(26, 200)(27, 205)(28, 206)(29, 203)(30, 204)(31, 212)(32, 227)(33, 210)(34, 209)(35, 213)(36, 207)(37, 211)(38, 215)(39, 214)(40, 217)(41, 216)(42, 219)(43, 218)(44, 221)(45, 220)(46, 223)(47, 222)(48, 225)(49, 224)(50, 231)(51, 208)(52, 229)(53, 228)(54, 232)(55, 226)(56, 230)(57, 234)(58, 233)(59, 236)(60, 235)(61, 238)(62, 237)(63, 240)(64, 239)(65, 242)(66, 241)(67, 244)(68, 243)(69, 250)(70, 264)(71, 248)(72, 247)(73, 251)(74, 245)(75, 249)(76, 253)(77, 252)(78, 255)(79, 254)(80, 257)(81, 256)(82, 259)(83, 258)(84, 261)(85, 260)(86, 263)(87, 262)(88, 246)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.2241
Graph:: bipartite
	v = 46 e = 176 f = 90
	degree seq :: [ 4^44, 88^2 ]

E21.2241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 44, 44})
Quotient :: dipole
Aut^+ = C44 x C2 (small group id <88, 8>)
Aut   = C2 x D88 (small group id <176, 29>)
|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^-44, Y1^44 ]
Map::
	R = (1, 89, 2, 90, 5, 93, 9, 97, 13, 101, 17, 105, 21, 109, 25, 113, 29, 117, 44, 132, 40, 128, 36, 124, 33, 121, 34, 122, 37, 125, 41, 129, 45, 133, 48, 136, 51, 139, 53, 141, 55, 143, 69, 157, 65, 153, 61, 149, 58, 146, 59, 147, 62, 150, 66, 154, 70, 158, 73, 161, 76, 164, 78, 166, 80, 168, 86, 174, 84, 172, 83, 171, 32, 120, 28, 116, 24, 112, 20, 108, 16, 104, 12, 100, 8, 96, 4, 92)(3, 91, 6, 94, 10, 98, 14, 102, 18, 106, 22, 110, 26, 114, 30, 118, 50, 138, 47, 135, 43, 131, 39, 127, 35, 123, 38, 126, 42, 130, 46, 134, 49, 137, 52, 140, 54, 142, 56, 144, 75, 163, 72, 160, 68, 156, 64, 152, 60, 148, 63, 151, 67, 155, 71, 159, 74, 162, 77, 165, 79, 167, 81, 169, 88, 176, 87, 175, 85, 173, 82, 170, 57, 145, 31, 119, 27, 115, 23, 111, 19, 107, 15, 103, 11, 99, 7, 95)(177, 265)(178, 266)(179, 267)(180, 268)(181, 269)(182, 270)(183, 271)(184, 272)(185, 273)(186, 274)(187, 275)(188, 276)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 285)(198, 286)(199, 287)(200, 288)(201, 289)(202, 290)(203, 291)(204, 292)(205, 293)(206, 294)(207, 295)(208, 296)(209, 297)(210, 298)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 307)(220, 308)(221, 309)(222, 310)(223, 311)(224, 312)(225, 313)(226, 314)(227, 315)(228, 316)(229, 317)(230, 318)(231, 319)(232, 320)(233, 321)(234, 322)(235, 323)(236, 324)(237, 325)(238, 326)(239, 327)(240, 328)(241, 329)(242, 330)(243, 331)(244, 332)(245, 333)(246, 334)(247, 335)(248, 336)(249, 337)(250, 338)(251, 339)(252, 340)(253, 341)(254, 342)(255, 343)(256, 344)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)
	L = (1, 179)(2, 182)(3, 177)(4, 183)(5, 186)(6, 178)(7, 180)(8, 187)(9, 190)(10, 181)(11, 184)(12, 191)(13, 194)(14, 185)(15, 188)(16, 195)(17, 198)(18, 189)(19, 192)(20, 199)(21, 202)(22, 193)(23, 196)(24, 203)(25, 206)(26, 197)(27, 200)(28, 207)(29, 226)(30, 201)(31, 204)(32, 233)(33, 211)(34, 214)(35, 209)(36, 215)(37, 218)(38, 210)(39, 212)(40, 219)(41, 222)(42, 213)(43, 216)(44, 223)(45, 225)(46, 217)(47, 220)(48, 228)(49, 221)(50, 205)(51, 230)(52, 224)(53, 232)(54, 227)(55, 251)(56, 229)(57, 208)(58, 236)(59, 239)(60, 234)(61, 240)(62, 243)(63, 235)(64, 237)(65, 244)(66, 247)(67, 238)(68, 241)(69, 248)(70, 250)(71, 242)(72, 245)(73, 253)(74, 246)(75, 231)(76, 255)(77, 249)(78, 257)(79, 252)(80, 264)(81, 254)(82, 259)(83, 258)(84, 261)(85, 260)(86, 263)(87, 262)(88, 256)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	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, 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, 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 E21.2240
Graph:: simple bipartite
	v = 90 e = 176 f = 46
	degree seq :: [ 2^88, 88^2 ]

E21.2242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, (Y2 * Y1)^3, (Y3 * Y1)^4, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3 * Y2 * Y1 * Y2 * R)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 16, 112)(10, 106, 20, 116)(12, 108, 22, 118)(14, 110, 26, 122)(15, 111, 27, 123)(17, 113, 31, 127)(18, 114, 32, 128)(19, 115, 25, 121)(21, 117, 36, 132)(23, 119, 40, 136)(24, 120, 41, 137)(28, 124, 47, 143)(29, 125, 48, 144)(30, 126, 46, 142)(33, 129, 53, 149)(34, 130, 55, 151)(35, 131, 56, 152)(37, 133, 60, 156)(38, 134, 61, 157)(39, 135, 59, 155)(42, 138, 66, 162)(43, 139, 68, 164)(44, 140, 69, 165)(45, 141, 65, 161)(49, 145, 73, 169)(50, 146, 75, 171)(51, 147, 76, 172)(52, 148, 58, 154)(54, 150, 74, 170)(57, 153, 80, 176)(62, 158, 83, 179)(63, 159, 85, 181)(64, 160, 86, 182)(67, 163, 84, 180)(70, 166, 90, 186)(71, 167, 87, 183)(72, 168, 92, 188)(77, 173, 81, 177)(78, 174, 89, 185)(79, 175, 88, 184)(82, 178, 95, 191)(91, 187, 94, 190)(93, 189, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 202, 298)(198, 294, 206, 302)(199, 295, 203, 299)(200, 296, 209, 305)(201, 297, 210, 306)(204, 300, 215, 311)(205, 301, 216, 312)(207, 303, 220, 316)(208, 304, 221, 317)(211, 307, 226, 322)(212, 308, 224, 320)(213, 309, 229, 325)(214, 310, 230, 326)(217, 313, 235, 331)(218, 314, 233, 329)(219, 315, 237, 333)(222, 318, 242, 338)(223, 319, 240, 336)(225, 321, 246, 342)(227, 323, 249, 345)(228, 324, 250, 346)(231, 327, 255, 351)(232, 328, 253, 349)(234, 330, 259, 355)(236, 332, 262, 358)(238, 334, 264, 360)(239, 335, 257, 353)(241, 337, 266, 362)(243, 339, 256, 352)(244, 340, 252, 348)(245, 341, 265, 361)(247, 343, 260, 356)(248, 344, 271, 367)(251, 347, 274, 370)(254, 350, 276, 372)(258, 354, 275, 371)(261, 357, 281, 377)(263, 359, 283, 379)(267, 363, 284, 380)(268, 364, 285, 381)(269, 365, 279, 375)(270, 366, 282, 378)(272, 368, 280, 376)(273, 369, 286, 382)(277, 373, 287, 383)(278, 374, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 195)(9, 211)(10, 209)(11, 213)(12, 197)(13, 217)(14, 215)(15, 199)(16, 222)(17, 202)(18, 225)(19, 201)(20, 227)(21, 203)(22, 231)(23, 206)(24, 234)(25, 205)(26, 236)(27, 238)(28, 229)(29, 241)(30, 208)(31, 243)(32, 244)(33, 210)(34, 246)(35, 212)(36, 251)(37, 220)(38, 254)(39, 214)(40, 256)(41, 257)(42, 216)(43, 259)(44, 218)(45, 263)(46, 219)(47, 262)(48, 253)(49, 221)(50, 266)(51, 223)(52, 224)(53, 269)(54, 226)(55, 270)(56, 268)(57, 252)(58, 273)(59, 228)(60, 249)(61, 240)(62, 230)(63, 276)(64, 232)(65, 233)(66, 279)(67, 235)(68, 280)(69, 278)(70, 239)(71, 237)(72, 283)(73, 275)(74, 242)(75, 281)(76, 248)(77, 245)(78, 247)(79, 277)(80, 282)(81, 250)(82, 286)(83, 265)(84, 255)(85, 271)(86, 261)(87, 258)(88, 260)(89, 267)(90, 272)(91, 264)(92, 288)(93, 287)(94, 274)(95, 285)(96, 284)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2248
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y2 * Y1)^3, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y2 * Y3^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 8, 104)(6, 102, 15, 111)(10, 106, 21, 117)(11, 107, 22, 118)(12, 108, 26, 122)(13, 109, 19, 115)(14, 110, 29, 125)(16, 112, 31, 127)(17, 113, 32, 128)(18, 114, 36, 132)(20, 116, 39, 135)(23, 119, 44, 140)(24, 120, 42, 138)(25, 121, 47, 143)(27, 123, 49, 145)(28, 124, 51, 147)(30, 126, 53, 149)(33, 129, 57, 153)(34, 130, 55, 151)(35, 131, 60, 156)(37, 133, 62, 158)(38, 134, 64, 160)(40, 136, 66, 162)(41, 137, 67, 163)(43, 139, 70, 166)(45, 141, 72, 168)(46, 142, 74, 170)(48, 144, 76, 172)(50, 146, 78, 174)(52, 148, 80, 176)(54, 150, 82, 178)(56, 152, 85, 181)(58, 154, 87, 183)(59, 155, 89, 185)(61, 157, 91, 187)(63, 159, 93, 189)(65, 161, 95, 191)(68, 164, 96, 192)(69, 165, 94, 190)(71, 167, 92, 188)(73, 169, 90, 186)(75, 171, 88, 184)(77, 173, 86, 182)(79, 175, 84, 180)(81, 177, 83, 179)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 204, 300)(197, 293, 206, 302)(199, 295, 210, 306)(200, 296, 212, 308)(201, 297, 207, 303)(202, 298, 215, 311)(203, 299, 217, 313)(205, 301, 220, 316)(208, 304, 225, 321)(209, 305, 227, 323)(211, 307, 230, 326)(213, 309, 233, 329)(214, 310, 235, 331)(216, 312, 238, 334)(218, 314, 228, 324)(219, 315, 242, 338)(221, 317, 231, 327)(222, 318, 244, 340)(223, 319, 246, 342)(224, 320, 248, 344)(226, 322, 251, 347)(229, 325, 255, 351)(232, 328, 257, 353)(234, 330, 261, 357)(236, 332, 259, 355)(237, 333, 265, 361)(239, 335, 262, 358)(240, 336, 267, 363)(241, 337, 269, 365)(243, 339, 256, 352)(245, 341, 273, 369)(247, 343, 276, 372)(249, 345, 274, 370)(250, 346, 280, 376)(252, 348, 277, 373)(253, 349, 282, 378)(254, 350, 284, 380)(258, 354, 288, 384)(260, 356, 287, 383)(263, 359, 285, 381)(264, 360, 283, 379)(266, 362, 286, 382)(268, 364, 279, 375)(270, 366, 278, 374)(271, 367, 281, 377)(272, 368, 275, 371)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 213)(10, 216)(11, 195)(12, 217)(13, 197)(14, 222)(15, 223)(16, 226)(17, 198)(18, 227)(19, 200)(20, 232)(21, 234)(22, 201)(23, 206)(24, 203)(25, 240)(26, 239)(27, 204)(28, 242)(29, 245)(30, 237)(31, 247)(32, 207)(33, 212)(34, 209)(35, 253)(36, 252)(37, 210)(38, 255)(39, 258)(40, 250)(41, 248)(42, 214)(43, 263)(44, 221)(45, 215)(46, 265)(47, 268)(48, 219)(49, 218)(50, 271)(51, 270)(52, 220)(53, 264)(54, 235)(55, 224)(56, 278)(57, 231)(58, 225)(59, 280)(60, 283)(61, 229)(62, 228)(63, 286)(64, 285)(65, 230)(66, 279)(67, 277)(68, 233)(69, 287)(70, 284)(71, 275)(72, 236)(73, 281)(74, 282)(75, 238)(76, 241)(77, 288)(78, 276)(79, 244)(80, 243)(81, 274)(82, 262)(83, 246)(84, 272)(85, 269)(86, 260)(87, 249)(88, 266)(89, 267)(90, 251)(91, 254)(92, 273)(93, 261)(94, 257)(95, 256)(96, 259)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2249
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y3 * Y1 * Y3^-2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 21, 117)(9, 105, 26, 122)(12, 108, 33, 129)(13, 109, 25, 121)(14, 110, 28, 124)(15, 111, 23, 119)(17, 113, 42, 138)(18, 114, 24, 120)(19, 115, 46, 142)(20, 116, 49, 145)(22, 118, 39, 135)(27, 123, 38, 134)(29, 125, 34, 130)(30, 126, 48, 144)(31, 127, 61, 157)(32, 128, 50, 146)(35, 131, 63, 159)(36, 132, 67, 163)(37, 133, 70, 166)(40, 136, 73, 169)(41, 137, 71, 167)(43, 139, 64, 160)(44, 140, 75, 171)(45, 141, 77, 173)(47, 143, 60, 156)(51, 147, 85, 181)(52, 148, 87, 183)(53, 149, 68, 164)(54, 150, 89, 185)(55, 151, 91, 187)(56, 152, 90, 186)(57, 153, 72, 168)(58, 154, 84, 180)(59, 155, 79, 175)(62, 158, 66, 162)(65, 161, 69, 165)(74, 170, 76, 172)(78, 174, 93, 189)(80, 176, 95, 191)(81, 177, 92, 188)(82, 178, 96, 192)(83, 179, 94, 190)(86, 182, 88, 184)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 207, 303)(198, 294, 211, 307, 212, 308)(200, 296, 216, 312, 217, 313)(202, 298, 221, 317, 222, 318)(203, 299, 223, 319, 224, 320)(204, 300, 226, 322, 227, 323)(205, 301, 228, 324, 229, 325)(208, 304, 232, 328, 233, 329)(209, 305, 235, 331, 236, 332)(210, 306, 237, 333, 230, 326)(213, 309, 243, 339, 239, 335)(214, 310, 238, 334, 244, 340)(215, 311, 245, 341, 246, 342)(218, 314, 247, 343, 248, 344)(219, 315, 249, 345, 250, 346)(220, 316, 251, 347, 234, 330)(225, 321, 256, 352, 257, 353)(231, 327, 264, 360, 261, 357)(240, 336, 268, 364, 272, 368)(241, 337, 273, 369, 274, 370)(242, 338, 275, 371, 276, 372)(252, 348, 286, 382, 267, 363)(253, 349, 278, 374, 260, 356)(254, 350, 259, 355, 277, 373)(255, 351, 285, 381, 283, 379)(258, 354, 284, 380, 271, 367)(262, 358, 287, 383, 282, 378)(263, 359, 281, 377, 288, 384)(265, 361, 279, 375, 270, 366)(266, 362, 269, 365, 280, 376)
	L = (1, 196)(2, 200)(3, 204)(4, 198)(5, 209)(6, 193)(7, 214)(8, 202)(9, 219)(10, 194)(11, 217)(12, 205)(13, 195)(14, 230)(15, 231)(16, 216)(17, 210)(18, 197)(19, 239)(20, 242)(21, 207)(22, 215)(23, 199)(24, 234)(25, 225)(26, 206)(27, 220)(28, 201)(29, 224)(30, 252)(31, 254)(32, 241)(33, 203)(34, 212)(35, 258)(36, 260)(37, 263)(38, 218)(39, 213)(40, 266)(41, 262)(42, 208)(43, 229)(44, 268)(45, 270)(46, 222)(47, 240)(48, 211)(49, 221)(50, 226)(51, 278)(52, 280)(53, 259)(54, 282)(55, 284)(56, 281)(57, 246)(58, 273)(59, 285)(60, 238)(61, 227)(62, 255)(63, 223)(64, 233)(65, 245)(66, 253)(67, 257)(68, 261)(69, 228)(70, 256)(71, 235)(72, 248)(73, 236)(74, 267)(75, 232)(76, 265)(77, 251)(78, 271)(79, 237)(80, 288)(81, 283)(82, 287)(83, 272)(84, 247)(85, 244)(86, 279)(87, 243)(88, 277)(89, 264)(90, 249)(91, 250)(92, 276)(93, 269)(94, 274)(95, 286)(96, 275)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2246
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (R * Y3)^2, (Y1 * R)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 12, 108)(9, 105, 20, 116)(13, 109, 21, 117)(14, 110, 33, 129)(15, 111, 23, 119)(17, 113, 27, 123)(18, 114, 38, 134)(19, 115, 42, 138)(22, 118, 43, 139)(24, 120, 29, 125)(25, 121, 45, 141)(26, 122, 34, 130)(28, 124, 32, 128)(30, 126, 47, 143)(31, 127, 59, 155)(35, 131, 54, 150)(36, 132, 50, 146)(37, 133, 49, 145)(39, 135, 55, 151)(40, 136, 69, 165)(41, 137, 72, 168)(44, 140, 48, 144)(46, 142, 60, 156)(51, 147, 57, 153)(52, 148, 77, 173)(53, 149, 75, 171)(56, 152, 62, 158)(58, 154, 79, 175)(61, 157, 78, 174)(63, 159, 65, 161)(64, 160, 84, 180)(66, 162, 88, 184)(67, 163, 81, 177)(68, 164, 73, 169)(70, 166, 87, 183)(71, 167, 80, 176)(74, 170, 95, 191)(76, 172, 85, 181)(82, 178, 90, 186)(83, 179, 89, 185)(86, 182, 92, 188)(91, 187, 93, 189)(94, 190, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 207, 303)(198, 294, 211, 307, 212, 308)(200, 296, 214, 310, 215, 311)(202, 298, 218, 314, 208, 304)(203, 299, 219, 315, 220, 316)(204, 300, 221, 317, 222, 318)(205, 301, 223, 319, 224, 320)(209, 305, 231, 327, 232, 328)(210, 306, 233, 329, 226, 322)(213, 309, 238, 334, 239, 335)(216, 312, 243, 339, 244, 340)(217, 313, 245, 341, 234, 330)(225, 321, 242, 338, 255, 351)(227, 323, 256, 352, 257, 353)(228, 324, 258, 354, 253, 349)(229, 325, 259, 355, 235, 331)(230, 326, 260, 356, 261, 357)(236, 332, 262, 358, 267, 363)(237, 333, 268, 364, 269, 365)(240, 336, 272, 368, 273, 369)(241, 337, 274, 370, 270, 366)(246, 342, 275, 371, 264, 360)(247, 343, 279, 375, 278, 374)(248, 344, 280, 376, 251, 347)(249, 345, 281, 377, 266, 362)(250, 346, 282, 378, 252, 348)(254, 350, 283, 379, 284, 380)(263, 359, 286, 382, 265, 361)(271, 367, 288, 384, 287, 383)(276, 372, 285, 381, 277, 373)
	L = (1, 196)(2, 200)(3, 204)(4, 198)(5, 209)(6, 193)(7, 203)(8, 202)(9, 216)(10, 194)(11, 213)(12, 205)(13, 195)(14, 226)(15, 228)(16, 230)(17, 210)(18, 197)(19, 235)(20, 237)(21, 199)(22, 234)(23, 241)(24, 217)(25, 201)(26, 225)(27, 208)(28, 247)(29, 212)(30, 249)(31, 252)(32, 254)(33, 246)(34, 227)(35, 206)(36, 229)(37, 207)(38, 219)(39, 224)(40, 262)(41, 265)(42, 240)(43, 236)(44, 211)(45, 221)(46, 251)(47, 271)(48, 214)(49, 242)(50, 215)(51, 239)(52, 275)(53, 277)(54, 218)(55, 248)(56, 220)(57, 250)(58, 222)(59, 270)(60, 253)(61, 223)(62, 231)(63, 280)(64, 281)(65, 283)(66, 257)(67, 282)(68, 264)(69, 272)(70, 263)(71, 232)(72, 287)(73, 266)(74, 233)(75, 284)(76, 267)(77, 256)(78, 238)(79, 243)(80, 279)(81, 288)(82, 273)(83, 276)(84, 244)(85, 278)(86, 245)(87, 261)(88, 285)(89, 269)(90, 286)(91, 258)(92, 268)(93, 255)(94, 259)(95, 260)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2247
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3 * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y3^-1 * Y2 * Y3^2 * Y2, Y3^-1 * Y2 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y3^-1 * Y1)^3, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-2 * Y3, Y1 * Y3^-1 * Y1^-2 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2, Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 33, 129, 13, 109)(4, 100, 15, 111, 43, 139, 16, 112)(6, 102, 20, 116, 55, 151, 21, 117)(8, 104, 25, 121, 64, 160, 27, 123)(9, 105, 29, 125, 69, 165, 30, 126)(10, 106, 31, 127, 72, 168, 32, 128)(12, 108, 37, 133, 77, 173, 38, 134)(14, 110, 42, 138, 59, 155, 28, 124)(17, 113, 49, 145, 87, 183, 51, 147)(18, 114, 52, 148, 90, 186, 53, 149)(19, 115, 54, 150, 85, 181, 45, 141)(22, 118, 56, 152, 92, 188, 58, 154)(23, 119, 60, 156, 91, 187, 61, 157)(24, 120, 62, 158, 82, 178, 63, 159)(26, 122, 68, 164, 76, 172, 35, 131)(34, 130, 65, 161, 86, 182, 46, 142)(36, 132, 44, 140, 84, 180, 67, 163)(39, 135, 48, 144, 71, 167, 78, 174)(40, 136, 79, 175, 88, 184, 50, 146)(41, 137, 80, 176, 70, 166, 47, 143)(57, 153, 89, 185, 74, 170, 66, 162)(73, 169, 93, 189, 83, 179, 96, 192)(75, 171, 95, 191, 81, 177, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 226, 322)(205, 301, 231, 327)(207, 303, 236, 332)(208, 304, 239, 335)(210, 306, 234, 330)(211, 307, 242, 338)(212, 308, 232, 328)(213, 309, 227, 323)(215, 311, 251, 347)(216, 312, 249, 345)(217, 313, 257, 353)(219, 315, 240, 336)(221, 317, 228, 324)(222, 318, 262, 358)(223, 319, 229, 325)(224, 320, 258, 354)(225, 321, 265, 361)(230, 326, 237, 333)(233, 329, 245, 341)(235, 331, 273, 369)(238, 334, 241, 337)(243, 339, 270, 366)(244, 340, 276, 372)(246, 342, 281, 377)(247, 343, 266, 362)(248, 344, 278, 374)(250, 346, 263, 359)(252, 348, 259, 355)(253, 349, 272, 368)(254, 350, 260, 356)(255, 351, 280, 376)(256, 352, 285, 381)(261, 357, 287, 383)(264, 360, 271, 367)(267, 363, 283, 379)(268, 364, 277, 373)(269, 365, 274, 370)(275, 371, 284, 380)(279, 375, 288, 384)(282, 378, 286, 382)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 215)(8, 218)(9, 202)(10, 194)(11, 227)(12, 206)(13, 232)(14, 195)(15, 237)(16, 223)(17, 242)(18, 211)(19, 197)(20, 231)(21, 226)(22, 249)(23, 216)(24, 199)(25, 258)(26, 220)(27, 229)(28, 200)(29, 213)(30, 254)(31, 240)(32, 257)(33, 266)(34, 221)(35, 228)(36, 203)(37, 239)(38, 236)(39, 245)(40, 233)(41, 205)(42, 209)(43, 274)(44, 241)(45, 238)(46, 207)(47, 219)(48, 208)(49, 230)(50, 234)(51, 281)(52, 255)(53, 212)(54, 270)(55, 265)(56, 280)(57, 251)(58, 260)(59, 214)(60, 224)(61, 246)(62, 263)(63, 278)(64, 271)(65, 252)(66, 259)(67, 217)(68, 262)(69, 277)(70, 250)(71, 222)(72, 285)(73, 283)(74, 267)(75, 225)(76, 287)(77, 273)(78, 253)(79, 286)(80, 243)(81, 284)(82, 275)(83, 235)(84, 248)(85, 288)(86, 244)(87, 268)(88, 276)(89, 272)(90, 264)(91, 247)(92, 269)(93, 282)(94, 256)(95, 279)(96, 261)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2244
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y2 * Y3^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 33, 129, 13, 109)(4, 100, 15, 111, 43, 139, 16, 112)(6, 102, 20, 116, 55, 151, 21, 117)(8, 104, 25, 121, 64, 160, 27, 123)(9, 105, 29, 125, 69, 165, 30, 126)(10, 106, 31, 127, 72, 168, 32, 128)(12, 108, 37, 133, 79, 175, 38, 134)(14, 110, 28, 124, 59, 155, 42, 138)(17, 113, 49, 145, 87, 183, 51, 147)(18, 114, 52, 148, 90, 186, 53, 149)(19, 115, 54, 150, 85, 181, 45, 141)(22, 118, 56, 152, 92, 188, 58, 154)(23, 119, 60, 156, 91, 187, 61, 157)(24, 120, 62, 158, 82, 178, 63, 159)(26, 122, 40, 136, 80, 176, 65, 161)(34, 130, 48, 144, 71, 167, 76, 172)(35, 131, 50, 146, 89, 185, 77, 173)(36, 132, 47, 143, 70, 166, 78, 174)(39, 135, 66, 162, 86, 182, 46, 142)(41, 137, 68, 164, 84, 180, 44, 140)(57, 153, 67, 163, 74, 170, 88, 184)(73, 169, 93, 189, 83, 179, 96, 192)(75, 171, 94, 190, 81, 177, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 226, 322)(205, 301, 231, 327)(207, 303, 236, 332)(208, 304, 239, 335)(210, 306, 234, 330)(211, 307, 242, 338)(212, 308, 227, 323)(213, 309, 232, 328)(215, 311, 251, 347)(216, 312, 249, 345)(217, 313, 240, 336)(219, 315, 258, 354)(221, 317, 233, 329)(222, 318, 262, 358)(223, 319, 230, 326)(224, 320, 259, 355)(225, 321, 265, 361)(228, 324, 245, 341)(229, 325, 237, 333)(235, 331, 273, 369)(238, 334, 243, 339)(241, 337, 268, 364)(244, 340, 276, 372)(246, 342, 280, 376)(247, 343, 266, 362)(248, 344, 263, 359)(250, 346, 278, 374)(252, 348, 260, 356)(253, 349, 270, 366)(254, 350, 257, 353)(255, 351, 281, 377)(256, 352, 285, 381)(261, 357, 287, 383)(264, 360, 269, 365)(267, 363, 283, 379)(271, 367, 274, 370)(272, 368, 277, 373)(275, 371, 284, 380)(279, 375, 288, 384)(282, 378, 286, 382)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 215)(8, 218)(9, 202)(10, 194)(11, 227)(12, 206)(13, 232)(14, 195)(15, 237)(16, 223)(17, 242)(18, 211)(19, 197)(20, 226)(21, 231)(22, 249)(23, 216)(24, 199)(25, 230)(26, 220)(27, 259)(28, 200)(29, 213)(30, 254)(31, 240)(32, 258)(33, 266)(34, 245)(35, 228)(36, 203)(37, 236)(38, 239)(39, 221)(40, 233)(41, 205)(42, 209)(43, 274)(44, 243)(45, 238)(46, 207)(47, 217)(48, 208)(49, 280)(50, 234)(51, 229)(52, 255)(53, 212)(54, 268)(55, 265)(56, 257)(57, 251)(58, 281)(59, 214)(60, 224)(61, 246)(62, 263)(63, 278)(64, 269)(65, 262)(66, 252)(67, 260)(68, 219)(69, 277)(70, 248)(71, 222)(72, 285)(73, 283)(74, 267)(75, 225)(76, 253)(77, 286)(78, 241)(79, 273)(80, 287)(81, 284)(82, 275)(83, 235)(84, 250)(85, 288)(86, 244)(87, 272)(88, 270)(89, 276)(90, 264)(91, 247)(92, 271)(93, 282)(94, 256)(95, 279)(96, 261)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2245
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 13, 109)(4, 100, 14, 110, 8, 104)(6, 102, 18, 114, 19, 115)(7, 103, 20, 116, 23, 119)(9, 105, 25, 121, 26, 122)(11, 107, 30, 126, 32, 128)(12, 108, 33, 129, 28, 124)(15, 111, 37, 133, 38, 134)(16, 112, 39, 135, 41, 137)(17, 113, 42, 138, 27, 123)(21, 117, 47, 143, 49, 145)(22, 118, 50, 146, 45, 141)(24, 120, 52, 148, 53, 149)(29, 125, 59, 155, 55, 151)(31, 127, 63, 159, 61, 157)(34, 130, 66, 162, 60, 156)(35, 131, 57, 153, 68, 164)(36, 132, 69, 165, 70, 166)(40, 136, 74, 170, 75, 171)(43, 139, 64, 160, 51, 147)(44, 140, 73, 169, 62, 158)(46, 142, 78, 174, 56, 152)(48, 144, 80, 176, 79, 175)(54, 150, 81, 177, 76, 172)(58, 154, 83, 179, 86, 182)(65, 161, 87, 183, 90, 186)(67, 163, 91, 187, 92, 188)(71, 167, 88, 184, 94, 190)(72, 168, 82, 178, 89, 185)(77, 173, 85, 181, 95, 191)(84, 180, 93, 189, 96, 192)(193, 289, 195, 291, 203, 299, 198, 294)(194, 290, 199, 295, 213, 309, 201, 297)(196, 292, 207, 303, 223, 319, 204, 300)(197, 293, 208, 304, 232, 328, 209, 305)(200, 296, 216, 312, 240, 336, 214, 310)(202, 298, 219, 315, 248, 344, 221, 317)(205, 301, 217, 313, 246, 342, 226, 322)(206, 302, 227, 323, 259, 355, 228, 324)(210, 306, 235, 331, 268, 364, 233, 329)(211, 307, 236, 332, 238, 334, 212, 308)(215, 311, 234, 330, 258, 354, 243, 339)(218, 314, 247, 343, 265, 361, 231, 327)(220, 316, 250, 346, 277, 373, 249, 345)(222, 318, 252, 348, 267, 363, 254, 350)(224, 320, 251, 347, 239, 335, 256, 352)(225, 321, 257, 353, 276, 372, 245, 341)(229, 325, 237, 333, 269, 365, 263, 359)(230, 326, 261, 357, 285, 381, 264, 360)(241, 337, 270, 366, 266, 362, 273, 369)(242, 338, 274, 370, 282, 378, 260, 356)(244, 340, 262, 358, 286, 382, 275, 371)(253, 349, 280, 376, 283, 379, 279, 375)(255, 351, 281, 377, 271, 367, 278, 374)(272, 368, 288, 384, 284, 380, 287, 383)
	L = (1, 196)(2, 200)(3, 204)(4, 193)(5, 206)(6, 207)(7, 214)(8, 194)(9, 216)(10, 220)(11, 223)(12, 195)(13, 225)(14, 197)(15, 198)(16, 228)(17, 227)(18, 230)(19, 229)(20, 237)(21, 240)(22, 199)(23, 242)(24, 201)(25, 245)(26, 244)(27, 249)(28, 202)(29, 250)(30, 253)(31, 203)(32, 255)(33, 205)(34, 257)(35, 209)(36, 208)(37, 211)(38, 210)(39, 262)(40, 259)(41, 261)(42, 260)(43, 264)(44, 263)(45, 212)(46, 269)(47, 271)(48, 213)(49, 272)(50, 215)(51, 274)(52, 218)(53, 217)(54, 276)(55, 275)(56, 277)(57, 219)(58, 221)(59, 278)(60, 279)(61, 222)(62, 280)(63, 224)(64, 281)(65, 226)(66, 282)(67, 232)(68, 234)(69, 233)(70, 231)(71, 236)(72, 235)(73, 286)(74, 284)(75, 283)(76, 285)(77, 238)(78, 287)(79, 239)(80, 241)(81, 288)(82, 243)(83, 247)(84, 246)(85, 248)(86, 251)(87, 252)(88, 254)(89, 256)(90, 258)(91, 267)(92, 266)(93, 268)(94, 265)(95, 270)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2242
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2^2, (Y3^-1 * Y2^-1)^2, (Y2, Y3), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3^-2 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1^-1)^3, (Y2^-1 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 12, 108, 15, 111)(4, 100, 17, 113, 18, 114)(6, 102, 22, 118, 23, 119)(7, 103, 24, 120, 9, 105)(8, 104, 25, 121, 28, 124)(10, 106, 30, 126, 31, 127)(11, 107, 32, 128, 20, 116)(13, 109, 37, 133, 38, 134)(14, 110, 39, 135, 40, 136)(16, 112, 43, 139, 34, 130)(19, 115, 50, 146, 51, 147)(21, 117, 52, 148, 33, 129)(26, 122, 59, 155, 63, 159)(27, 123, 64, 160, 65, 161)(29, 125, 68, 164, 60, 156)(35, 131, 79, 175, 71, 167)(36, 132, 73, 169, 41, 137)(42, 138, 88, 184, 80, 176)(44, 140, 78, 174, 89, 185)(45, 141, 85, 181, 90, 186)(46, 142, 75, 171, 48, 144)(47, 143, 66, 162, 62, 158)(49, 145, 72, 168, 70, 166)(53, 149, 84, 180, 67, 163)(54, 150, 74, 170, 56, 152)(55, 151, 91, 187, 81, 177)(57, 153, 87, 183, 92, 188)(58, 154, 77, 173, 93, 189)(61, 157, 94, 190, 76, 172)(69, 165, 96, 192, 86, 182)(82, 178, 95, 191, 83, 179)(193, 289, 195, 291, 205, 301, 198, 294)(194, 290, 200, 296, 218, 314, 202, 298)(196, 292, 206, 302, 199, 295, 208, 304)(197, 293, 211, 307, 238, 334, 213, 309)(201, 297, 219, 315, 203, 299, 221, 317)(204, 300, 225, 321, 268, 364, 227, 323)(207, 303, 222, 318, 261, 357, 234, 330)(209, 305, 236, 332, 212, 308, 237, 333)(210, 306, 239, 335, 274, 370, 241, 337)(214, 310, 245, 341, 278, 374, 243, 339)(215, 311, 247, 343, 253, 349, 217, 313)(216, 312, 249, 345, 275, 371, 250, 346)(220, 316, 244, 340, 280, 376, 259, 355)(223, 319, 263, 359, 283, 379, 242, 338)(224, 320, 265, 361, 287, 383, 266, 362)(226, 322, 269, 365, 228, 324, 270, 366)(229, 325, 272, 368, 240, 336, 273, 369)(230, 326, 271, 367, 251, 347, 276, 372)(231, 327, 262, 358, 233, 329, 257, 353)(232, 328, 277, 373, 246, 342, 279, 375)(235, 331, 252, 348, 248, 344, 254, 350)(255, 351, 286, 382, 267, 363, 288, 384)(256, 352, 285, 381, 258, 354, 282, 378)(260, 356, 281, 377, 264, 360, 284, 380)
	L = (1, 196)(2, 201)(3, 206)(4, 205)(5, 212)(6, 208)(7, 193)(8, 219)(9, 218)(10, 221)(11, 194)(12, 226)(13, 199)(14, 198)(15, 233)(16, 195)(17, 197)(18, 240)(19, 237)(20, 238)(21, 236)(22, 232)(23, 248)(24, 230)(25, 252)(26, 203)(27, 202)(28, 258)(29, 200)(30, 257)(31, 264)(32, 255)(33, 269)(34, 268)(35, 270)(36, 204)(37, 210)(38, 275)(39, 207)(40, 278)(41, 261)(42, 262)(43, 215)(44, 211)(45, 213)(46, 209)(47, 273)(48, 274)(49, 272)(50, 281)(51, 279)(52, 282)(53, 277)(54, 214)(55, 254)(56, 253)(57, 271)(58, 276)(59, 216)(60, 247)(61, 235)(62, 217)(63, 287)(64, 220)(65, 234)(66, 280)(67, 285)(68, 223)(69, 231)(70, 222)(71, 284)(72, 283)(73, 286)(74, 288)(75, 224)(76, 228)(77, 227)(78, 225)(79, 250)(80, 239)(81, 241)(82, 229)(83, 251)(84, 249)(85, 243)(86, 246)(87, 245)(88, 256)(89, 263)(90, 259)(91, 260)(92, 242)(93, 244)(94, 266)(95, 267)(96, 265)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2243
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3)^4, Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^4, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 13, 109)(6, 102, 14, 110)(7, 103, 17, 113)(8, 104, 18, 114)(10, 106, 22, 118)(11, 107, 23, 119)(15, 111, 33, 129)(16, 112, 34, 130)(19, 115, 30, 126)(20, 116, 35, 131)(21, 117, 38, 134)(24, 120, 31, 127)(25, 121, 40, 136)(26, 122, 51, 147)(27, 123, 32, 128)(28, 124, 54, 150)(29, 125, 36, 132)(37, 133, 65, 161)(39, 135, 68, 164)(41, 137, 57, 153)(42, 138, 60, 156)(43, 139, 55, 151)(44, 140, 67, 163)(45, 141, 71, 167)(46, 142, 56, 152)(47, 143, 74, 170)(48, 144, 63, 159)(49, 145, 62, 158)(50, 146, 75, 171)(52, 148, 77, 173)(53, 149, 58, 154)(59, 155, 80, 176)(61, 157, 83, 179)(64, 160, 84, 180)(66, 162, 86, 182)(69, 165, 82, 178)(70, 166, 87, 183)(72, 168, 89, 185)(73, 169, 78, 174)(76, 172, 91, 187)(79, 175, 92, 188)(81, 177, 94, 190)(85, 181, 96, 192)(88, 184, 93, 189)(90, 186, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 202, 298)(197, 293, 203, 299)(199, 295, 207, 303)(200, 296, 208, 304)(201, 297, 211, 307)(204, 300, 216, 312)(205, 301, 219, 315)(206, 302, 222, 318)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 233, 329)(213, 309, 234, 330)(214, 310, 235, 331)(215, 311, 238, 334)(217, 313, 241, 337)(218, 314, 242, 338)(220, 316, 244, 340)(221, 317, 245, 341)(223, 319, 247, 343)(224, 320, 248, 344)(225, 321, 249, 345)(226, 322, 252, 348)(228, 324, 255, 351)(229, 325, 256, 352)(231, 327, 258, 354)(232, 328, 259, 355)(236, 332, 261, 357)(237, 333, 262, 358)(239, 335, 264, 360)(240, 336, 265, 361)(243, 339, 263, 359)(246, 342, 266, 362)(250, 346, 270, 366)(251, 347, 271, 367)(253, 349, 273, 369)(254, 350, 274, 370)(257, 353, 272, 368)(260, 356, 275, 371)(267, 363, 279, 375)(268, 364, 280, 376)(269, 365, 281, 377)(276, 372, 284, 380)(277, 373, 285, 381)(278, 374, 286, 382)(282, 378, 288, 384)(283, 379, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 208)(8, 194)(9, 212)(10, 197)(11, 195)(12, 217)(13, 220)(14, 223)(15, 200)(16, 198)(17, 228)(18, 231)(19, 233)(20, 234)(21, 201)(22, 236)(23, 239)(24, 241)(25, 242)(26, 204)(27, 244)(28, 245)(29, 205)(30, 247)(31, 248)(32, 206)(33, 250)(34, 253)(35, 255)(36, 256)(37, 209)(38, 258)(39, 259)(40, 210)(41, 213)(42, 211)(43, 261)(44, 262)(45, 214)(46, 264)(47, 265)(48, 215)(49, 218)(50, 216)(51, 268)(52, 221)(53, 219)(54, 263)(55, 224)(56, 222)(57, 270)(58, 271)(59, 225)(60, 273)(61, 274)(62, 226)(63, 229)(64, 227)(65, 277)(66, 232)(67, 230)(68, 272)(69, 237)(70, 235)(71, 280)(72, 240)(73, 238)(74, 243)(75, 282)(76, 246)(77, 279)(78, 251)(79, 249)(80, 285)(81, 254)(82, 252)(83, 257)(84, 287)(85, 260)(86, 284)(87, 288)(88, 266)(89, 267)(90, 269)(91, 286)(92, 283)(93, 275)(94, 276)(95, 278)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2264
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3 * Y2 * Y1)^2, (Y3^2 * Y1)^2, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, (Y2 * R * Y2 * Y1)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 15, 111)(6, 102, 18, 114)(7, 103, 21, 117)(8, 104, 24, 120)(10, 106, 30, 126)(11, 107, 22, 118)(13, 109, 20, 116)(14, 110, 26, 122)(16, 112, 42, 138)(17, 113, 23, 119)(19, 115, 48, 144)(25, 121, 60, 156)(27, 123, 45, 141)(28, 124, 65, 161)(29, 125, 67, 163)(31, 127, 64, 160)(32, 128, 69, 165)(33, 129, 72, 168)(34, 130, 66, 162)(35, 131, 74, 170)(36, 132, 54, 150)(37, 133, 59, 155)(38, 134, 76, 172)(39, 135, 63, 159)(40, 136, 77, 173)(41, 137, 55, 151)(43, 139, 75, 171)(44, 140, 68, 164)(46, 142, 80, 176)(47, 143, 82, 178)(49, 145, 79, 175)(50, 146, 84, 180)(51, 147, 87, 183)(52, 148, 81, 177)(53, 149, 89, 185)(56, 152, 91, 187)(57, 153, 78, 174)(58, 154, 92, 188)(61, 157, 90, 186)(62, 158, 83, 179)(70, 166, 85, 181)(71, 167, 88, 184)(73, 169, 86, 182)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 205, 301)(197, 293, 208, 304)(199, 295, 214, 310)(200, 296, 217, 313)(201, 297, 219, 315)(202, 298, 223, 319)(203, 299, 225, 321)(204, 300, 227, 323)(206, 302, 231, 327)(207, 303, 220, 316)(209, 305, 236, 332)(210, 306, 237, 333)(211, 307, 241, 337)(212, 308, 243, 339)(213, 309, 245, 341)(215, 311, 249, 345)(216, 312, 238, 334)(218, 314, 254, 350)(221, 317, 260, 356)(222, 318, 242, 338)(224, 320, 240, 336)(226, 322, 252, 348)(228, 324, 268, 364)(229, 325, 261, 357)(230, 326, 262, 358)(232, 328, 263, 359)(233, 329, 256, 352)(234, 330, 244, 340)(235, 331, 265, 361)(239, 335, 275, 371)(246, 342, 283, 379)(247, 343, 276, 372)(248, 344, 277, 373)(250, 346, 278, 374)(251, 347, 271, 367)(253, 349, 280, 376)(255, 351, 274, 370)(257, 353, 273, 369)(258, 354, 272, 368)(259, 355, 270, 366)(264, 360, 281, 377)(266, 362, 279, 375)(267, 363, 285, 381)(269, 365, 286, 382)(282, 378, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 206)(5, 193)(6, 211)(7, 215)(8, 194)(9, 220)(10, 224)(11, 195)(12, 228)(13, 225)(14, 232)(15, 233)(16, 235)(17, 197)(18, 238)(19, 242)(20, 198)(21, 246)(22, 243)(23, 250)(24, 251)(25, 253)(26, 200)(27, 255)(28, 258)(29, 201)(30, 248)(31, 208)(32, 263)(33, 265)(34, 203)(35, 267)(36, 207)(37, 204)(38, 205)(39, 262)(40, 209)(41, 269)(42, 249)(43, 252)(44, 240)(45, 270)(46, 273)(47, 210)(48, 230)(49, 217)(50, 278)(51, 280)(52, 212)(53, 282)(54, 216)(55, 213)(56, 214)(57, 277)(58, 218)(59, 284)(60, 231)(61, 234)(62, 222)(63, 227)(64, 219)(65, 283)(66, 285)(67, 275)(68, 286)(69, 221)(70, 223)(71, 226)(72, 272)(73, 236)(74, 271)(75, 281)(76, 274)(77, 229)(78, 245)(79, 237)(80, 268)(81, 287)(82, 260)(83, 288)(84, 239)(85, 241)(86, 244)(87, 257)(88, 254)(89, 256)(90, 266)(91, 259)(92, 247)(93, 261)(94, 264)(95, 276)(96, 279)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2263
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y1 * Y2)^2, (Y2 * Y3)^3, (Y3^3 * Y2)^2, (Y3^-1 * Y1)^4, (Y2 * Y1)^4, (Y2 * R * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 15, 111)(6, 102, 18, 114)(7, 103, 21, 117)(8, 104, 24, 120)(10, 106, 25, 121)(11, 107, 26, 122)(13, 109, 23, 119)(14, 110, 22, 118)(16, 112, 19, 115)(17, 113, 20, 116)(27, 123, 43, 139)(28, 124, 61, 157)(29, 125, 64, 160)(30, 126, 63, 159)(31, 127, 62, 158)(32, 128, 59, 155)(33, 129, 60, 156)(34, 130, 56, 152)(35, 131, 72, 168)(36, 132, 73, 169)(37, 133, 71, 167)(38, 134, 70, 166)(39, 135, 74, 170)(40, 136, 50, 146)(41, 137, 76, 172)(42, 138, 75, 171)(44, 140, 79, 175)(45, 141, 82, 178)(46, 142, 81, 177)(47, 143, 80, 176)(48, 144, 77, 173)(49, 145, 78, 174)(51, 147, 90, 186)(52, 148, 91, 187)(53, 149, 89, 185)(54, 150, 88, 184)(55, 151, 92, 188)(57, 153, 94, 190)(58, 154, 93, 189)(65, 161, 83, 179)(66, 162, 87, 183)(67, 163, 86, 182)(68, 164, 85, 181)(69, 165, 84, 180)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 205, 301)(197, 293, 208, 304)(199, 295, 214, 310)(200, 296, 217, 313)(201, 297, 219, 315)(202, 298, 222, 318)(203, 299, 224, 320)(204, 300, 221, 317)(206, 302, 229, 325)(207, 303, 231, 327)(209, 305, 234, 330)(210, 306, 235, 331)(211, 307, 238, 334)(212, 308, 240, 336)(213, 309, 237, 333)(215, 311, 245, 341)(216, 312, 247, 343)(218, 314, 250, 346)(220, 316, 254, 350)(223, 319, 258, 354)(225, 321, 261, 357)(226, 322, 262, 358)(227, 323, 251, 347)(228, 324, 257, 353)(230, 326, 259, 355)(232, 328, 268, 364)(233, 329, 260, 356)(236, 332, 272, 368)(239, 335, 276, 372)(241, 337, 279, 375)(242, 338, 280, 376)(243, 339, 269, 365)(244, 340, 275, 371)(246, 342, 277, 373)(248, 344, 286, 382)(249, 345, 278, 374)(252, 348, 271, 367)(253, 349, 270, 366)(255, 351, 284, 380)(256, 352, 281, 377)(263, 359, 274, 370)(264, 360, 285, 381)(265, 361, 287, 383)(266, 362, 273, 369)(267, 363, 282, 378)(283, 379, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 206)(5, 193)(6, 211)(7, 215)(8, 194)(9, 220)(10, 223)(11, 195)(12, 226)(13, 224)(14, 230)(15, 221)(16, 233)(17, 197)(18, 236)(19, 239)(20, 198)(21, 242)(22, 240)(23, 246)(24, 237)(25, 249)(26, 200)(27, 251)(28, 255)(29, 201)(30, 208)(31, 259)(32, 260)(33, 203)(34, 263)(35, 204)(36, 205)(37, 257)(38, 209)(39, 267)(40, 207)(41, 261)(42, 258)(43, 269)(44, 273)(45, 210)(46, 217)(47, 277)(48, 278)(49, 212)(50, 281)(51, 213)(52, 214)(53, 275)(54, 218)(55, 285)(56, 216)(57, 279)(58, 276)(59, 282)(60, 219)(61, 280)(62, 271)(63, 232)(64, 270)(65, 222)(66, 228)(67, 225)(68, 234)(69, 229)(70, 231)(71, 284)(72, 286)(73, 227)(74, 283)(75, 287)(76, 274)(77, 264)(78, 235)(79, 262)(80, 253)(81, 248)(82, 252)(83, 238)(84, 244)(85, 241)(86, 250)(87, 245)(88, 247)(89, 266)(90, 268)(91, 243)(92, 265)(93, 288)(94, 256)(95, 254)(96, 272)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2265
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * R * Y2 * Y3, Y3 * R * Y2 * R * Y3 * Y2, (Y3 * Y1)^4, Y1 * R * Y2 * R * Y1 * Y3 * Y1 * Y2 * Y1 * Y3, (Y2 * R * Y1 * Y2 * Y1 * R)^2, R * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * R * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 31, 127)(18, 114, 35, 131)(19, 115, 36, 132)(20, 116, 27, 123)(22, 118, 41, 137)(23, 119, 43, 139)(25, 121, 47, 143)(26, 122, 48, 144)(30, 126, 55, 151)(32, 128, 57, 153)(33, 129, 58, 154)(34, 130, 50, 146)(37, 133, 52, 148)(38, 134, 46, 142)(39, 135, 63, 159)(40, 136, 49, 145)(42, 138, 68, 164)(44, 140, 70, 166)(45, 141, 71, 167)(51, 147, 76, 172)(53, 149, 79, 175)(54, 150, 81, 177)(56, 152, 74, 170)(59, 155, 78, 174)(60, 156, 84, 180)(61, 157, 69, 165)(62, 158, 86, 182)(64, 160, 83, 179)(65, 161, 72, 168)(66, 162, 87, 183)(67, 163, 89, 185)(73, 169, 92, 188)(75, 171, 94, 190)(77, 173, 91, 187)(80, 176, 88, 184)(82, 178, 93, 189)(85, 181, 90, 186)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 202, 298)(198, 294, 206, 302)(199, 295, 207, 303)(200, 296, 210, 306)(201, 297, 211, 307)(203, 299, 214, 310)(204, 300, 217, 313)(205, 301, 218, 314)(208, 304, 224, 320)(209, 305, 225, 321)(212, 308, 230, 326)(213, 309, 231, 327)(215, 311, 236, 332)(216, 312, 237, 333)(219, 315, 242, 338)(220, 316, 243, 339)(221, 317, 245, 341)(222, 318, 248, 344)(223, 319, 241, 337)(226, 322, 252, 348)(227, 323, 253, 349)(228, 324, 254, 350)(229, 325, 235, 331)(232, 328, 257, 353)(233, 329, 258, 354)(234, 330, 261, 357)(238, 334, 265, 361)(239, 335, 266, 362)(240, 336, 267, 363)(244, 340, 270, 366)(246, 342, 274, 370)(247, 343, 275, 371)(249, 345, 269, 365)(250, 346, 277, 373)(251, 347, 273, 369)(255, 351, 272, 368)(256, 352, 262, 358)(259, 355, 282, 378)(260, 356, 283, 379)(263, 359, 285, 381)(264, 360, 281, 377)(268, 364, 280, 376)(271, 367, 284, 380)(276, 372, 279, 375)(278, 374, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 204)(6, 194)(7, 208)(8, 195)(9, 212)(10, 210)(11, 215)(12, 197)(13, 219)(14, 217)(15, 222)(16, 199)(17, 226)(18, 202)(19, 229)(20, 201)(21, 232)(22, 234)(23, 203)(24, 238)(25, 206)(26, 241)(27, 205)(28, 244)(29, 246)(30, 207)(31, 242)(32, 248)(33, 251)(34, 209)(35, 240)(36, 239)(37, 211)(38, 235)(39, 256)(40, 213)(41, 259)(42, 214)(43, 230)(44, 261)(45, 264)(46, 216)(47, 228)(48, 227)(49, 218)(50, 223)(51, 269)(52, 220)(53, 272)(54, 221)(55, 276)(56, 224)(57, 270)(58, 266)(59, 225)(60, 273)(61, 263)(62, 277)(63, 274)(64, 231)(65, 262)(66, 280)(67, 233)(68, 284)(69, 236)(70, 257)(71, 253)(72, 237)(73, 281)(74, 250)(75, 285)(76, 282)(77, 243)(78, 249)(79, 287)(80, 245)(81, 252)(82, 255)(83, 286)(84, 247)(85, 254)(86, 283)(87, 288)(88, 258)(89, 265)(90, 268)(91, 278)(92, 260)(93, 267)(94, 275)(95, 271)(96, 279)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2262
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y3^-2 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3^-3 * Y2^-1 * Y1 * Y2 * Y3 * Y1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 23, 119)(9, 105, 29, 125)(12, 108, 37, 133)(13, 109, 28, 124)(14, 110, 31, 127)(15, 111, 34, 130)(16, 112, 25, 121)(18, 114, 51, 147)(19, 115, 26, 122)(20, 116, 57, 153)(21, 117, 60, 156)(22, 118, 27, 123)(24, 120, 65, 161)(30, 126, 56, 152)(32, 128, 38, 134)(33, 129, 83, 179)(35, 131, 77, 173)(36, 132, 61, 157)(39, 135, 66, 162)(40, 136, 69, 165)(41, 137, 80, 176)(42, 138, 67, 163)(43, 139, 75, 171)(44, 140, 72, 168)(45, 141, 71, 167)(46, 142, 86, 182)(47, 143, 82, 178)(48, 144, 70, 166)(49, 145, 90, 186)(50, 146, 64, 160)(52, 148, 87, 183)(53, 149, 85, 181)(54, 150, 68, 164)(55, 151, 92, 188)(58, 154, 84, 180)(59, 155, 74, 170)(62, 158, 79, 175)(63, 159, 73, 169)(76, 172, 95, 191)(78, 174, 91, 187)(81, 177, 89, 185)(88, 184, 94, 190)(93, 189, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 218, 314, 220, 316)(202, 298, 224, 320, 225, 321)(203, 299, 227, 323, 228, 324)(204, 300, 230, 326, 232, 328)(205, 301, 233, 329, 234, 330)(207, 303, 237, 333, 239, 335)(209, 305, 241, 337, 242, 338)(210, 306, 244, 340, 246, 342)(211, 307, 247, 343, 248, 344)(214, 310, 254, 350, 231, 327)(215, 311, 256, 352, 250, 346)(216, 312, 249, 345, 259, 355)(217, 313, 260, 356, 261, 357)(219, 315, 264, 360, 266, 362)(221, 317, 268, 364, 269, 365)(222, 318, 270, 366, 272, 368)(223, 319, 273, 369, 243, 339)(226, 322, 277, 373, 258, 354)(229, 325, 279, 375, 265, 361)(235, 331, 236, 332, 245, 341)(238, 334, 257, 353, 283, 379)(240, 336, 251, 347, 280, 376)(252, 348, 278, 374, 284, 380)(253, 349, 285, 381, 282, 378)(255, 351, 281, 377, 275, 371)(262, 358, 263, 359, 271, 367)(267, 363, 274, 370, 286, 382)(276, 372, 288, 384, 287, 383)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 216)(8, 219)(9, 222)(10, 194)(11, 220)(12, 231)(13, 195)(14, 236)(15, 238)(16, 240)(17, 218)(18, 245)(19, 197)(20, 250)(21, 253)(22, 198)(23, 208)(24, 258)(25, 199)(26, 263)(27, 265)(28, 267)(29, 206)(30, 271)(31, 201)(32, 228)(33, 276)(34, 202)(35, 270)(36, 252)(37, 203)(38, 239)(39, 257)(40, 251)(41, 268)(42, 256)(43, 205)(44, 213)(45, 211)(46, 282)(47, 234)(48, 247)(49, 278)(50, 259)(51, 209)(52, 254)(53, 283)(54, 280)(55, 285)(56, 221)(57, 266)(58, 275)(59, 212)(60, 264)(61, 230)(62, 248)(63, 214)(64, 244)(65, 215)(66, 229)(67, 274)(68, 241)(69, 227)(70, 217)(71, 225)(72, 223)(73, 287)(74, 261)(75, 273)(76, 255)(77, 232)(78, 277)(79, 279)(80, 286)(81, 288)(82, 224)(83, 237)(84, 249)(85, 243)(86, 226)(87, 242)(88, 233)(89, 235)(90, 246)(91, 269)(92, 262)(93, 281)(94, 260)(95, 272)(96, 284)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2258
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, R * Y2 * R * Y2^-1, (Y1 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 18, 114)(9, 105, 23, 119)(12, 108, 28, 124)(13, 109, 26, 122)(14, 110, 30, 126)(15, 111, 22, 118)(17, 113, 33, 129)(19, 115, 38, 134)(20, 116, 36, 132)(21, 117, 40, 136)(24, 120, 43, 139)(25, 121, 44, 140)(27, 123, 49, 145)(29, 125, 48, 144)(31, 127, 53, 149)(32, 128, 54, 150)(34, 130, 35, 131)(37, 133, 61, 157)(39, 135, 60, 156)(41, 137, 65, 161)(42, 138, 66, 162)(45, 141, 63, 159)(46, 142, 68, 164)(47, 143, 70, 166)(50, 146, 73, 169)(51, 147, 57, 153)(52, 148, 75, 171)(55, 151, 77, 173)(56, 152, 58, 154)(59, 155, 79, 175)(62, 158, 82, 178)(64, 160, 84, 180)(67, 163, 86, 182)(69, 165, 83, 179)(71, 167, 88, 184)(72, 168, 81, 177)(74, 170, 78, 174)(76, 172, 90, 186)(80, 176, 92, 188)(85, 181, 94, 190)(87, 183, 93, 189)(89, 185, 91, 187)(95, 191, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 204, 300)(198, 294, 209, 305, 205, 301)(200, 296, 213, 309, 211, 307)(202, 298, 216, 312, 212, 308)(203, 299, 217, 313, 219, 315)(207, 303, 221, 317, 223, 319)(208, 304, 224, 320, 226, 322)(210, 306, 227, 323, 229, 325)(214, 310, 231, 327, 233, 329)(215, 311, 234, 330, 236, 332)(218, 314, 239, 335, 237, 333)(220, 316, 242, 338, 238, 334)(222, 318, 243, 339, 244, 340)(225, 321, 248, 344, 247, 343)(228, 324, 251, 347, 249, 345)(230, 326, 254, 350, 250, 346)(232, 328, 255, 351, 256, 352)(235, 331, 260, 356, 259, 355)(240, 336, 261, 357, 263, 359)(241, 337, 264, 360, 246, 342)(245, 341, 268, 364, 266, 362)(252, 348, 270, 366, 272, 368)(253, 349, 273, 369, 258, 354)(257, 353, 277, 373, 275, 371)(262, 358, 269, 365, 279, 375)(265, 361, 267, 363, 281, 377)(271, 367, 278, 374, 283, 379)(274, 370, 276, 372, 285, 381)(280, 376, 287, 383, 282, 378)(284, 380, 288, 384, 286, 382)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 206)(6, 193)(7, 211)(8, 214)(9, 213)(10, 194)(11, 218)(12, 221)(13, 195)(14, 223)(15, 198)(16, 225)(17, 197)(18, 228)(19, 231)(20, 199)(21, 233)(22, 202)(23, 235)(24, 201)(25, 237)(26, 240)(27, 239)(28, 203)(29, 205)(30, 208)(31, 209)(32, 247)(33, 245)(34, 248)(35, 249)(36, 252)(37, 251)(38, 210)(39, 212)(40, 215)(41, 216)(42, 259)(43, 257)(44, 260)(45, 261)(46, 217)(47, 263)(48, 220)(49, 265)(50, 219)(51, 226)(52, 224)(53, 222)(54, 267)(55, 268)(56, 266)(57, 270)(58, 227)(59, 272)(60, 230)(61, 274)(62, 229)(63, 236)(64, 234)(65, 232)(66, 276)(67, 277)(68, 275)(69, 238)(70, 241)(71, 242)(72, 281)(73, 280)(74, 243)(75, 282)(76, 244)(77, 246)(78, 250)(79, 253)(80, 254)(81, 285)(82, 284)(83, 255)(84, 286)(85, 256)(86, 258)(87, 264)(88, 262)(89, 287)(90, 269)(91, 273)(92, 271)(93, 288)(94, 278)(95, 279)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2260
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * R * Y3^-1 * Y2^-1 * Y1 * R, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 10, 106)(5, 101, 7, 103)(6, 102, 8, 104)(11, 107, 26, 122)(12, 108, 25, 121)(13, 109, 28, 124)(14, 110, 23, 119)(15, 111, 27, 123)(16, 112, 21, 117)(17, 113, 20, 116)(18, 114, 24, 120)(19, 115, 22, 118)(29, 125, 56, 152)(30, 126, 50, 146)(31, 127, 55, 151)(32, 128, 54, 150)(33, 129, 53, 149)(34, 130, 51, 147)(35, 131, 52, 148)(36, 132, 44, 140)(37, 133, 48, 144)(38, 134, 49, 145)(39, 135, 47, 143)(40, 136, 46, 142)(41, 137, 45, 141)(42, 138, 43, 139)(57, 153, 73, 169)(58, 154, 75, 171)(59, 155, 79, 175)(60, 156, 80, 176)(61, 157, 69, 165)(62, 158, 77, 173)(63, 159, 70, 166)(64, 160, 78, 174)(65, 161, 74, 170)(66, 162, 76, 172)(67, 163, 71, 167)(68, 164, 72, 168)(81, 177, 87, 183)(82, 178, 88, 184)(83, 179, 92, 188)(84, 180, 91, 187)(85, 181, 90, 186)(86, 182, 89, 185)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 205, 301, 207, 303)(198, 294, 210, 306, 211, 307)(200, 296, 214, 310, 216, 312)(202, 298, 219, 315, 220, 316)(203, 299, 221, 317, 223, 319)(204, 300, 224, 320, 225, 321)(206, 302, 222, 318, 228, 324)(208, 304, 231, 327, 232, 328)(209, 305, 233, 329, 234, 330)(212, 308, 235, 331, 237, 333)(213, 309, 238, 334, 239, 335)(215, 311, 236, 332, 242, 338)(217, 313, 245, 341, 246, 342)(218, 314, 247, 343, 248, 344)(226, 322, 253, 349, 254, 350)(227, 323, 255, 351, 256, 352)(229, 325, 257, 353, 249, 345)(230, 326, 258, 354, 250, 346)(240, 336, 265, 361, 266, 362)(241, 337, 267, 363, 268, 364)(243, 339, 269, 365, 261, 357)(244, 340, 270, 366, 262, 358)(251, 347, 273, 369, 259, 355)(252, 348, 274, 370, 260, 356)(263, 359, 279, 375, 271, 367)(264, 360, 280, 376, 272, 368)(275, 371, 285, 381, 277, 373)(276, 372, 286, 382, 278, 374)(281, 377, 287, 383, 283, 379)(282, 378, 288, 384, 284, 380)
	L = (1, 196)(2, 200)(3, 203)(4, 206)(5, 208)(6, 193)(7, 212)(8, 215)(9, 217)(10, 194)(11, 222)(12, 195)(13, 226)(14, 198)(15, 229)(16, 228)(17, 197)(18, 227)(19, 230)(20, 236)(21, 199)(22, 240)(23, 202)(24, 243)(25, 242)(26, 201)(27, 241)(28, 244)(29, 249)(30, 204)(31, 251)(32, 250)(33, 252)(34, 210)(35, 205)(36, 209)(37, 211)(38, 207)(39, 259)(40, 253)(41, 260)(42, 255)(43, 261)(44, 213)(45, 263)(46, 262)(47, 264)(48, 219)(49, 214)(50, 218)(51, 220)(52, 216)(53, 271)(54, 265)(55, 272)(56, 267)(57, 224)(58, 221)(59, 225)(60, 223)(61, 234)(62, 275)(63, 232)(64, 276)(65, 277)(66, 278)(67, 233)(68, 231)(69, 238)(70, 235)(71, 239)(72, 237)(73, 248)(74, 281)(75, 246)(76, 282)(77, 283)(78, 284)(79, 247)(80, 245)(81, 285)(82, 286)(83, 256)(84, 254)(85, 258)(86, 257)(87, 287)(88, 288)(89, 268)(90, 266)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2261
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y3^2 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1, (Y2^-1 * Y3^-1)^4, (Y3 * Y2^-1)^4, (Y2^-1, Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 31, 127)(13, 109, 25, 121)(14, 110, 24, 120)(15, 111, 26, 122)(16, 112, 30, 126)(18, 114, 32, 128)(19, 115, 27, 123)(20, 116, 23, 119)(21, 117, 29, 125)(33, 129, 60, 156)(34, 130, 65, 161)(35, 131, 64, 160)(36, 132, 56, 152)(37, 133, 67, 163)(38, 134, 62, 158)(39, 135, 66, 162)(40, 136, 52, 148)(41, 137, 58, 154)(42, 138, 57, 153)(43, 139, 73, 169)(44, 140, 49, 145)(45, 141, 75, 171)(46, 142, 54, 150)(47, 143, 74, 170)(48, 144, 51, 147)(50, 146, 77, 173)(53, 149, 79, 175)(55, 151, 78, 174)(59, 155, 85, 181)(61, 157, 87, 183)(63, 159, 86, 182)(68, 164, 82, 178)(69, 165, 83, 179)(70, 166, 80, 176)(71, 167, 81, 177)(72, 168, 88, 184)(76, 172, 84, 180)(89, 185, 93, 189)(90, 186, 95, 191)(91, 187, 94, 190)(92, 188, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 227, 323, 229, 325)(205, 301, 230, 326, 231, 327)(207, 303, 228, 324, 233, 329)(209, 305, 235, 331, 236, 332)(210, 306, 237, 333, 238, 334)(211, 307, 239, 335, 240, 336)(214, 310, 241, 337, 242, 338)(215, 311, 243, 339, 245, 341)(216, 312, 246, 342, 247, 343)(218, 314, 244, 340, 249, 345)(220, 316, 251, 347, 252, 348)(221, 317, 253, 349, 254, 350)(222, 318, 255, 351, 256, 352)(232, 328, 262, 358, 263, 359)(234, 330, 264, 360, 260, 356)(248, 344, 274, 370, 275, 371)(250, 346, 276, 372, 272, 368)(257, 353, 281, 377, 265, 361)(258, 354, 282, 378, 266, 362)(259, 355, 283, 379, 267, 363)(261, 357, 284, 380, 268, 364)(269, 365, 285, 381, 277, 373)(270, 366, 286, 382, 278, 374)(271, 367, 287, 383, 279, 375)(273, 369, 288, 384, 280, 376)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 217)(12, 228)(13, 195)(14, 232)(15, 198)(16, 234)(17, 219)(18, 233)(19, 197)(20, 214)(21, 220)(22, 206)(23, 244)(24, 199)(25, 248)(26, 202)(27, 250)(28, 208)(29, 249)(30, 201)(31, 203)(32, 209)(33, 254)(34, 258)(35, 260)(36, 205)(37, 261)(38, 252)(39, 257)(40, 212)(41, 211)(42, 213)(43, 266)(44, 243)(45, 268)(46, 262)(47, 265)(48, 241)(49, 238)(50, 270)(51, 272)(52, 216)(53, 273)(54, 236)(55, 269)(56, 223)(57, 222)(58, 224)(59, 278)(60, 227)(61, 280)(62, 274)(63, 277)(64, 225)(65, 229)(66, 275)(67, 226)(68, 230)(69, 231)(70, 240)(71, 271)(72, 279)(73, 237)(74, 276)(75, 235)(76, 239)(77, 245)(78, 263)(79, 242)(80, 246)(81, 247)(82, 256)(83, 259)(84, 267)(85, 253)(86, 264)(87, 251)(88, 255)(89, 286)(90, 288)(91, 285)(92, 287)(93, 282)(94, 284)(95, 281)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2259
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1 * Y2)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1)^3, Y1^-2 * Y3 * Y1^-2 * Y3^-1, (Y1 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y3^2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y3^-2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * R * Y3^-1 * Y1 * Y2 * R * Y1, Y3^3 * Y1^2 * Y3^3, (Y2 * Y1^-1)^4, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-2 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 24, 120, 13, 109)(4, 100, 15, 111, 25, 121, 17, 113)(6, 102, 21, 117, 26, 122, 22, 118)(8, 104, 27, 123, 18, 114, 29, 125)(9, 105, 31, 127, 19, 115, 33, 129)(10, 106, 34, 130, 20, 116, 35, 131)(12, 108, 40, 136, 61, 157, 42, 138)(14, 110, 46, 142, 62, 158, 30, 126)(16, 112, 50, 146, 63, 159, 52, 148)(23, 119, 58, 154, 64, 160, 59, 155)(28, 124, 68, 164, 55, 151, 70, 166)(32, 128, 77, 173, 56, 152, 79, 175)(36, 132, 82, 178, 57, 153, 83, 179)(37, 133, 65, 161, 43, 139, 71, 167)(38, 134, 74, 170, 44, 140, 85, 181)(39, 135, 73, 169, 45, 141, 67, 163)(41, 137, 87, 183, 91, 187, 69, 165)(47, 143, 66, 162, 92, 188, 72, 168)(48, 144, 80, 176, 53, 149, 75, 171)(49, 145, 76, 172, 54, 150, 81, 177)(51, 147, 78, 174, 60, 156, 84, 180)(86, 182, 96, 192, 89, 185, 94, 190)(88, 184, 95, 191, 90, 186, 93, 189)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 216, 312)(201, 297, 222, 318)(202, 298, 220, 316)(203, 299, 229, 325)(205, 301, 235, 331)(207, 303, 240, 336)(208, 304, 239, 335)(209, 305, 245, 341)(211, 307, 238, 334)(212, 308, 247, 343)(213, 309, 236, 332)(214, 310, 230, 326)(215, 311, 233, 329)(217, 313, 254, 350)(218, 314, 253, 349)(219, 315, 257, 353)(221, 317, 263, 359)(223, 319, 267, 363)(224, 320, 266, 362)(225, 321, 272, 368)(226, 322, 264, 360)(227, 323, 258, 354)(228, 324, 261, 357)(231, 327, 275, 371)(232, 328, 269, 365)(234, 330, 271, 367)(237, 333, 274, 370)(241, 337, 281, 377)(242, 338, 262, 358)(243, 339, 282, 378)(244, 340, 260, 356)(246, 342, 278, 374)(248, 344, 277, 373)(249, 345, 279, 375)(250, 346, 259, 355)(251, 347, 265, 361)(252, 348, 280, 376)(255, 351, 284, 380)(256, 352, 283, 379)(268, 364, 287, 383)(270, 366, 288, 384)(273, 369, 285, 381)(276, 372, 286, 382)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 217)(8, 220)(9, 224)(10, 194)(11, 230)(12, 233)(13, 236)(14, 195)(15, 226)(16, 243)(17, 227)(18, 247)(19, 248)(20, 197)(21, 235)(22, 229)(23, 198)(24, 253)(25, 255)(26, 199)(27, 258)(28, 261)(29, 264)(30, 200)(31, 214)(32, 270)(33, 213)(34, 263)(35, 257)(36, 202)(37, 275)(38, 267)(39, 203)(40, 265)(41, 280)(42, 259)(43, 274)(44, 272)(45, 205)(46, 210)(47, 206)(48, 281)(49, 207)(50, 268)(51, 256)(52, 273)(53, 278)(54, 209)(55, 279)(56, 276)(57, 212)(58, 271)(59, 269)(60, 215)(61, 283)(62, 216)(63, 252)(64, 218)(65, 250)(66, 245)(67, 219)(68, 231)(69, 286)(70, 237)(71, 251)(72, 240)(73, 221)(74, 222)(75, 287)(76, 223)(77, 246)(78, 249)(79, 241)(80, 285)(81, 225)(82, 242)(83, 244)(84, 228)(85, 238)(86, 232)(87, 288)(88, 284)(89, 234)(90, 239)(91, 282)(92, 254)(93, 260)(94, 277)(95, 262)(96, 266)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2254
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3 * Y1^-1 * Y3^2 * Y1 * Y3, Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y1^-2 * Y2)^2, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 23, 119, 13, 109)(4, 100, 15, 111, 42, 138, 17, 113)(6, 102, 21, 117, 47, 143, 22, 118)(8, 104, 26, 122, 18, 114, 28, 124)(9, 105, 30, 126, 59, 155, 32, 128)(10, 106, 33, 129, 60, 156, 34, 130)(12, 108, 35, 131, 61, 157, 36, 132)(14, 110, 40, 136, 66, 162, 41, 137)(16, 112, 31, 127, 51, 147, 37, 133)(19, 115, 45, 141, 70, 166, 44, 140)(20, 116, 46, 142, 69, 165, 43, 139)(24, 120, 50, 146, 75, 171, 52, 148)(25, 121, 53, 149, 76, 172, 54, 150)(27, 123, 55, 151, 77, 173, 56, 152)(29, 125, 57, 153, 78, 174, 58, 154)(38, 134, 64, 160, 84, 180, 63, 159)(39, 135, 65, 161, 83, 179, 62, 158)(48, 144, 71, 167, 87, 183, 72, 168)(49, 145, 73, 169, 88, 184, 74, 170)(67, 163, 85, 181, 89, 185, 80, 176)(68, 164, 86, 182, 90, 186, 79, 175)(81, 177, 93, 189, 95, 191, 91, 187)(82, 178, 94, 190, 96, 192, 92, 188)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 223, 319)(205, 301, 229, 325)(207, 303, 227, 323)(208, 304, 220, 316)(209, 305, 228, 324)(211, 307, 230, 326)(212, 308, 231, 327)(213, 309, 232, 328)(214, 310, 233, 329)(216, 312, 241, 337)(217, 313, 240, 336)(218, 314, 243, 339)(222, 318, 247, 343)(224, 320, 248, 344)(225, 321, 249, 345)(226, 322, 250, 346)(234, 330, 258, 354)(235, 331, 255, 351)(236, 332, 254, 350)(237, 333, 257, 353)(238, 334, 256, 352)(239, 335, 253, 349)(242, 338, 263, 359)(244, 340, 264, 360)(245, 341, 265, 361)(246, 342, 266, 362)(251, 347, 270, 366)(252, 348, 269, 365)(259, 355, 273, 369)(260, 356, 274, 370)(261, 357, 275, 371)(262, 358, 276, 372)(267, 363, 280, 376)(268, 364, 279, 375)(271, 367, 283, 379)(272, 368, 284, 380)(277, 373, 286, 382)(278, 374, 285, 381)(281, 377, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 221)(12, 220)(13, 230)(14, 195)(15, 235)(16, 198)(17, 222)(18, 231)(19, 229)(20, 197)(21, 236)(22, 225)(23, 240)(24, 243)(25, 199)(26, 241)(27, 203)(28, 206)(29, 200)(30, 214)(31, 202)(32, 242)(33, 209)(34, 245)(35, 254)(36, 249)(37, 212)(38, 210)(39, 205)(40, 255)(41, 247)(42, 259)(43, 213)(44, 207)(45, 246)(46, 244)(47, 260)(48, 218)(49, 215)(50, 226)(51, 217)(52, 237)(53, 224)(54, 238)(55, 228)(56, 265)(57, 233)(58, 263)(59, 271)(60, 272)(61, 273)(62, 232)(63, 227)(64, 266)(65, 264)(66, 274)(67, 239)(68, 234)(69, 277)(70, 278)(71, 248)(72, 256)(73, 250)(74, 257)(75, 281)(76, 282)(77, 283)(78, 284)(79, 252)(80, 251)(81, 258)(82, 253)(83, 285)(84, 286)(85, 262)(86, 261)(87, 287)(88, 288)(89, 268)(90, 267)(91, 270)(92, 269)(93, 276)(94, 275)(95, 280)(96, 279)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2257
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-2 * Y3^-1, Y1^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y1)^3, (Y1^-1 * Y2)^4, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 18, 114, 13, 109)(4, 100, 15, 111, 6, 102, 16, 112)(8, 104, 19, 115, 17, 113, 21, 117)(9, 105, 23, 119, 10, 106, 24, 120)(12, 108, 28, 124, 14, 110, 29, 125)(20, 116, 36, 132, 22, 118, 37, 133)(25, 121, 33, 129, 30, 126, 38, 134)(26, 122, 43, 139, 27, 123, 44, 140)(31, 127, 47, 143, 32, 128, 48, 144)(34, 130, 51, 147, 35, 131, 52, 148)(39, 135, 55, 151, 40, 136, 56, 152)(41, 137, 57, 153, 42, 138, 58, 154)(45, 141, 61, 157, 46, 142, 62, 158)(49, 145, 65, 161, 50, 146, 66, 162)(53, 149, 69, 165, 54, 150, 70, 166)(59, 155, 75, 171, 60, 156, 76, 172)(63, 159, 72, 168, 64, 160, 71, 167)(67, 163, 81, 177, 68, 164, 82, 178)(73, 169, 85, 181, 74, 170, 86, 182)(77, 173, 88, 184, 78, 174, 87, 183)(79, 175, 89, 185, 80, 176, 90, 186)(83, 179, 92, 188, 84, 180, 91, 187)(93, 189, 96, 192, 94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 210, 306)(201, 297, 214, 310)(202, 298, 212, 308)(203, 299, 217, 313)(205, 301, 222, 318)(207, 303, 223, 319)(208, 304, 224, 320)(211, 307, 225, 321)(213, 309, 230, 326)(215, 311, 231, 327)(216, 312, 232, 328)(218, 314, 234, 330)(219, 315, 233, 329)(220, 316, 237, 333)(221, 317, 238, 334)(226, 322, 242, 338)(227, 323, 241, 337)(228, 324, 245, 341)(229, 325, 246, 342)(235, 331, 251, 347)(236, 332, 252, 348)(239, 335, 254, 350)(240, 336, 253, 349)(243, 339, 259, 355)(244, 340, 260, 356)(247, 343, 262, 358)(248, 344, 261, 357)(249, 345, 265, 361)(250, 346, 266, 362)(255, 351, 269, 365)(256, 352, 270, 366)(257, 353, 271, 367)(258, 354, 272, 368)(263, 359, 275, 371)(264, 360, 276, 372)(267, 363, 278, 374)(268, 364, 277, 373)(273, 369, 282, 378)(274, 370, 281, 377)(279, 375, 285, 381)(280, 376, 286, 382)(283, 379, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 198)(8, 212)(9, 197)(10, 194)(11, 218)(12, 210)(13, 219)(14, 195)(15, 216)(16, 215)(17, 214)(18, 206)(19, 226)(20, 209)(21, 227)(22, 200)(23, 207)(24, 208)(25, 233)(26, 205)(27, 203)(28, 236)(29, 235)(30, 234)(31, 231)(32, 232)(33, 241)(34, 213)(35, 211)(36, 244)(37, 243)(38, 242)(39, 224)(40, 223)(41, 222)(42, 217)(43, 220)(44, 221)(45, 251)(46, 252)(47, 255)(48, 256)(49, 230)(50, 225)(51, 228)(52, 229)(53, 259)(54, 260)(55, 263)(56, 264)(57, 258)(58, 257)(59, 238)(60, 237)(61, 269)(62, 270)(63, 240)(64, 239)(65, 249)(66, 250)(67, 246)(68, 245)(69, 275)(70, 276)(71, 248)(72, 247)(73, 271)(74, 272)(75, 279)(76, 280)(77, 254)(78, 253)(79, 266)(80, 265)(81, 283)(82, 284)(83, 262)(84, 261)(85, 285)(86, 286)(87, 268)(88, 267)(89, 287)(90, 288)(91, 274)(92, 273)(93, 278)(94, 277)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2255
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1^4, (Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 21, 117, 8, 104)(4, 100, 14, 110, 38, 134, 16, 112)(6, 102, 19, 115, 44, 140, 20, 116)(9, 105, 26, 122, 57, 153, 28, 124)(10, 106, 29, 125, 58, 154, 30, 126)(12, 108, 33, 129, 64, 160, 35, 131)(13, 109, 36, 132, 65, 161, 37, 133)(15, 111, 27, 123, 48, 144, 41, 137)(17, 113, 42, 138, 69, 165, 40, 136)(18, 114, 43, 139, 68, 164, 39, 135)(22, 118, 47, 143, 75, 171, 49, 145)(23, 119, 50, 146, 76, 172, 51, 147)(24, 120, 52, 148, 77, 173, 54, 150)(25, 121, 55, 151, 78, 174, 56, 152)(31, 127, 59, 155, 81, 177, 61, 157)(32, 128, 62, 158, 82, 178, 63, 159)(34, 130, 60, 156, 71, 167, 53, 149)(45, 141, 70, 166, 87, 183, 72, 168)(46, 142, 73, 169, 88, 184, 74, 170)(66, 162, 85, 181, 89, 185, 80, 176)(67, 163, 86, 182, 90, 186, 79, 175)(83, 179, 92, 188, 95, 191, 94, 190)(84, 180, 91, 187, 96, 192, 93, 189)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 205, 301)(197, 293, 203, 299)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 217, 313)(202, 298, 216, 312)(206, 302, 229, 325)(207, 303, 226, 322)(208, 304, 228, 324)(209, 305, 224, 320)(210, 306, 223, 319)(211, 307, 227, 323)(212, 308, 225, 321)(214, 310, 238, 334)(215, 311, 237, 333)(218, 314, 248, 344)(219, 315, 245, 341)(220, 316, 247, 343)(221, 317, 246, 342)(222, 318, 244, 340)(230, 326, 257, 353)(231, 327, 251, 347)(232, 328, 254, 350)(233, 329, 252, 348)(234, 330, 255, 351)(235, 331, 253, 349)(236, 332, 256, 352)(239, 335, 266, 362)(240, 336, 263, 359)(241, 337, 265, 361)(242, 338, 264, 360)(243, 339, 262, 358)(249, 345, 270, 366)(250, 346, 269, 365)(258, 354, 275, 371)(259, 355, 276, 372)(260, 356, 273, 369)(261, 357, 274, 370)(267, 363, 280, 376)(268, 364, 279, 375)(271, 367, 283, 379)(272, 368, 284, 380)(277, 373, 286, 382)(278, 374, 285, 381)(281, 377, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 207)(5, 209)(6, 193)(7, 214)(8, 216)(9, 219)(10, 194)(11, 223)(12, 226)(13, 195)(14, 231)(15, 198)(16, 218)(17, 233)(18, 197)(19, 232)(20, 221)(21, 237)(22, 240)(23, 199)(24, 245)(25, 200)(26, 212)(27, 202)(28, 239)(29, 208)(30, 242)(31, 252)(32, 203)(33, 248)(34, 205)(35, 251)(36, 246)(37, 254)(38, 258)(39, 211)(40, 206)(41, 210)(42, 243)(43, 241)(44, 259)(45, 263)(46, 213)(47, 222)(48, 215)(49, 234)(50, 220)(51, 235)(52, 266)(53, 217)(54, 225)(55, 264)(56, 228)(57, 271)(58, 272)(59, 229)(60, 224)(61, 262)(62, 227)(63, 265)(64, 275)(65, 276)(66, 236)(67, 230)(68, 277)(69, 278)(70, 255)(71, 238)(72, 244)(73, 253)(74, 247)(75, 281)(76, 282)(77, 283)(78, 284)(79, 250)(80, 249)(81, 285)(82, 286)(83, 257)(84, 256)(85, 261)(86, 260)(87, 287)(88, 288)(89, 268)(90, 267)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2256
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (Y3 * Y1^-1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 13, 109)(4, 100, 14, 110, 8, 104)(6, 102, 18, 114, 19, 115)(7, 103, 20, 116, 23, 119)(9, 105, 25, 121, 26, 122)(11, 107, 21, 117, 31, 127)(12, 108, 32, 128, 28, 124)(15, 111, 37, 133, 38, 134)(16, 112, 39, 135, 40, 136)(17, 113, 41, 137, 42, 138)(22, 118, 47, 143, 44, 140)(24, 120, 50, 146, 51, 147)(27, 123, 52, 148, 48, 144)(29, 125, 55, 151, 49, 145)(30, 126, 56, 152, 46, 142)(33, 129, 59, 155, 60, 156)(34, 130, 61, 157, 62, 158)(35, 131, 63, 159, 64, 160)(36, 132, 65, 161, 66, 162)(43, 139, 69, 165, 67, 163)(45, 141, 72, 168, 68, 164)(53, 149, 74, 170, 76, 172)(54, 150, 73, 169, 78, 174)(57, 153, 79, 175, 80, 176)(58, 154, 81, 177, 82, 178)(70, 166, 85, 181, 88, 184)(71, 167, 86, 182, 90, 186)(75, 171, 87, 183, 83, 179)(77, 173, 89, 185, 84, 180)(91, 187, 93, 189, 95, 191)(92, 188, 94, 190, 96, 192)(193, 289, 195, 291, 203, 299, 198, 294)(194, 290, 199, 295, 213, 309, 201, 297)(196, 292, 207, 303, 222, 318, 204, 300)(197, 293, 208, 304, 223, 319, 209, 305)(200, 296, 216, 312, 238, 334, 214, 310)(202, 298, 219, 315, 210, 306, 221, 317)(205, 301, 225, 321, 211, 307, 226, 322)(206, 302, 227, 323, 248, 344, 228, 324)(212, 308, 235, 331, 217, 313, 237, 333)(215, 311, 240, 336, 218, 314, 241, 337)(220, 316, 246, 342, 230, 326, 245, 341)(224, 320, 249, 345, 229, 325, 250, 346)(231, 327, 251, 347, 233, 329, 253, 349)(232, 328, 259, 355, 234, 330, 260, 356)(236, 332, 263, 359, 243, 339, 262, 358)(239, 335, 265, 361, 242, 338, 266, 362)(244, 340, 267, 363, 247, 343, 269, 365)(252, 348, 275, 371, 254, 350, 276, 372)(255, 351, 277, 373, 257, 353, 278, 374)(256, 352, 274, 370, 258, 354, 272, 368)(261, 357, 279, 375, 264, 360, 281, 377)(268, 364, 284, 380, 270, 366, 283, 379)(271, 367, 285, 381, 273, 369, 286, 382)(280, 376, 288, 384, 282, 378, 287, 383)
	L = (1, 196)(2, 200)(3, 204)(4, 193)(5, 206)(6, 207)(7, 214)(8, 194)(9, 216)(10, 220)(11, 222)(12, 195)(13, 224)(14, 197)(15, 198)(16, 228)(17, 227)(18, 230)(19, 229)(20, 236)(21, 238)(22, 199)(23, 239)(24, 201)(25, 243)(26, 242)(27, 245)(28, 202)(29, 246)(30, 203)(31, 248)(32, 205)(33, 250)(34, 249)(35, 209)(36, 208)(37, 211)(38, 210)(39, 258)(40, 257)(41, 256)(42, 255)(43, 262)(44, 212)(45, 263)(46, 213)(47, 215)(48, 266)(49, 265)(50, 218)(51, 217)(52, 268)(53, 219)(54, 221)(55, 270)(56, 223)(57, 226)(58, 225)(59, 274)(60, 273)(61, 272)(62, 271)(63, 234)(64, 233)(65, 232)(66, 231)(67, 277)(68, 278)(69, 280)(70, 235)(71, 237)(72, 282)(73, 241)(74, 240)(75, 283)(76, 244)(77, 284)(78, 247)(79, 254)(80, 253)(81, 252)(82, 251)(83, 285)(84, 286)(85, 259)(86, 260)(87, 287)(88, 261)(89, 288)(90, 264)(91, 267)(92, 269)(93, 275)(94, 276)(95, 279)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2253
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (Y1 * Y3)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 13, 109)(4, 100, 14, 110, 8, 104)(6, 102, 18, 114, 19, 115)(7, 103, 20, 116, 23, 119)(9, 105, 25, 121, 26, 122)(11, 107, 21, 117, 31, 127)(12, 108, 32, 128, 28, 124)(15, 111, 37, 133, 38, 134)(16, 112, 39, 135, 40, 136)(17, 113, 41, 137, 42, 138)(22, 118, 47, 143, 44, 140)(24, 120, 50, 146, 51, 147)(27, 123, 52, 148, 54, 150)(29, 125, 56, 152, 57, 153)(30, 126, 58, 154, 46, 142)(33, 129, 61, 157, 43, 139)(34, 130, 62, 158, 45, 141)(35, 131, 63, 159, 64, 160)(36, 132, 65, 161, 66, 162)(48, 144, 73, 169, 67, 163)(49, 145, 74, 170, 68, 164)(53, 149, 76, 172, 75, 171)(55, 151, 79, 175, 80, 176)(59, 155, 70, 166, 81, 177)(60, 156, 69, 165, 82, 178)(71, 167, 86, 182, 87, 183)(72, 168, 85, 181, 88, 184)(77, 173, 89, 185, 83, 179)(78, 174, 90, 186, 84, 180)(91, 187, 94, 190, 96, 192)(92, 188, 93, 189, 95, 191)(193, 289, 195, 291, 203, 299, 198, 294)(194, 290, 199, 295, 213, 309, 201, 297)(196, 292, 207, 303, 222, 318, 204, 300)(197, 293, 208, 304, 223, 319, 209, 305)(200, 296, 216, 312, 238, 334, 214, 310)(202, 298, 219, 315, 210, 306, 221, 317)(205, 301, 225, 321, 211, 307, 226, 322)(206, 302, 227, 323, 250, 346, 228, 324)(212, 308, 235, 331, 217, 313, 237, 333)(215, 311, 240, 336, 218, 314, 241, 337)(220, 316, 247, 343, 230, 326, 245, 341)(224, 320, 251, 347, 229, 325, 252, 348)(231, 327, 259, 355, 233, 329, 260, 356)(232, 328, 244, 340, 234, 330, 248, 344)(236, 332, 262, 358, 243, 339, 261, 357)(239, 335, 263, 359, 242, 338, 264, 360)(246, 342, 269, 365, 249, 345, 270, 366)(253, 349, 275, 371, 254, 350, 276, 372)(255, 351, 267, 363, 257, 353, 272, 368)(256, 352, 277, 373, 258, 354, 278, 374)(265, 361, 281, 377, 266, 362, 282, 378)(268, 364, 283, 379, 271, 367, 284, 380)(273, 369, 285, 381, 274, 370, 286, 382)(279, 375, 287, 383, 280, 376, 288, 384)
	L = (1, 196)(2, 200)(3, 204)(4, 193)(5, 206)(6, 207)(7, 214)(8, 194)(9, 216)(10, 220)(11, 222)(12, 195)(13, 224)(14, 197)(15, 198)(16, 228)(17, 227)(18, 230)(19, 229)(20, 236)(21, 238)(22, 199)(23, 239)(24, 201)(25, 243)(26, 242)(27, 245)(28, 202)(29, 247)(30, 203)(31, 250)(32, 205)(33, 252)(34, 251)(35, 209)(36, 208)(37, 211)(38, 210)(39, 258)(40, 257)(41, 256)(42, 255)(43, 261)(44, 212)(45, 262)(46, 213)(47, 215)(48, 264)(49, 263)(50, 218)(51, 217)(52, 267)(53, 219)(54, 268)(55, 221)(56, 272)(57, 271)(58, 223)(59, 226)(60, 225)(61, 274)(62, 273)(63, 234)(64, 233)(65, 232)(66, 231)(67, 277)(68, 278)(69, 235)(70, 237)(71, 241)(72, 240)(73, 280)(74, 279)(75, 244)(76, 246)(77, 284)(78, 283)(79, 249)(80, 248)(81, 254)(82, 253)(83, 285)(84, 286)(85, 259)(86, 260)(87, 266)(88, 265)(89, 287)(90, 288)(91, 270)(92, 269)(93, 275)(94, 276)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2251
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * R)^2, (Y3 * Y2^-1)^2, (Y1 * Y3)^2, (R * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y3^4, Y2^4, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, Y3^-2 * Y2^-1 * Y3^2 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y3, Y2 * Y1^-1 * Y2 * Y1 * Y2^2 * Y1, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 12, 108, 15, 111)(4, 100, 17, 113, 20, 116)(6, 102, 24, 120, 26, 122)(7, 103, 27, 123, 9, 105)(8, 104, 28, 124, 31, 127)(10, 106, 35, 131, 37, 133)(11, 107, 38, 134, 22, 118)(13, 109, 43, 139, 45, 141)(14, 110, 47, 143, 48, 144)(16, 112, 32, 128, 40, 136)(18, 114, 53, 149, 54, 150)(19, 115, 51, 147, 56, 152)(21, 117, 59, 155, 61, 157)(23, 119, 63, 159, 55, 151)(25, 121, 36, 132, 52, 148)(29, 125, 64, 160, 71, 167)(30, 126, 67, 163, 73, 169)(33, 129, 65, 161, 74, 170)(34, 130, 68, 164, 75, 171)(39, 135, 69, 165, 66, 162)(41, 137, 79, 175, 58, 154)(42, 138, 78, 174, 50, 146)(44, 140, 85, 181, 72, 168)(46, 142, 81, 177, 82, 178)(49, 145, 60, 156, 76, 172)(57, 153, 62, 158, 77, 173)(70, 166, 92, 188, 80, 176)(83, 179, 96, 192, 89, 185)(84, 180, 94, 190, 87, 183)(86, 182, 90, 186, 93, 189)(88, 184, 91, 187, 95, 191)(193, 289, 195, 291, 205, 301, 198, 294)(194, 290, 200, 296, 221, 317, 202, 298)(196, 292, 210, 306, 236, 332, 208, 304)(197, 293, 213, 309, 252, 348, 215, 311)(199, 295, 217, 313, 238, 334, 206, 302)(201, 297, 225, 321, 262, 358, 224, 320)(203, 299, 228, 324, 264, 360, 222, 318)(204, 300, 231, 327, 229, 325, 233, 329)(207, 303, 241, 337, 282, 378, 243, 339)(209, 305, 244, 340, 272, 368, 234, 330)(211, 307, 220, 316, 261, 357, 247, 343)(212, 308, 249, 345, 276, 372, 239, 335)(214, 310, 254, 350, 273, 369, 232, 328)(216, 312, 248, 344, 281, 377, 256, 352)(218, 314, 226, 322, 251, 347, 258, 354)(219, 315, 246, 342, 279, 375, 259, 355)(223, 319, 237, 333, 278, 374, 260, 356)(227, 323, 267, 363, 288, 384, 268, 364)(230, 326, 266, 362, 286, 382, 270, 366)(235, 331, 255, 351, 250, 346, 275, 371)(240, 336, 280, 376, 257, 353, 277, 373)(242, 338, 283, 379, 245, 341, 274, 370)(253, 349, 263, 359, 285, 381, 271, 367)(265, 361, 287, 383, 269, 365, 284, 380)
	L = (1, 196)(2, 201)(3, 206)(4, 211)(5, 214)(6, 217)(7, 193)(8, 222)(9, 226)(10, 228)(11, 194)(12, 232)(13, 236)(14, 220)(15, 242)(16, 195)(17, 197)(18, 198)(19, 199)(20, 250)(21, 234)(22, 233)(23, 244)(24, 246)(25, 247)(26, 225)(27, 248)(28, 208)(29, 262)(30, 251)(31, 240)(32, 200)(33, 202)(34, 203)(35, 266)(36, 218)(37, 254)(38, 267)(39, 272)(40, 213)(41, 209)(42, 204)(43, 274)(44, 261)(45, 279)(46, 205)(47, 207)(48, 281)(49, 276)(50, 275)(51, 212)(52, 229)(53, 255)(54, 278)(55, 210)(56, 280)(57, 282)(58, 283)(59, 224)(60, 273)(61, 265)(62, 215)(63, 249)(64, 277)(65, 216)(66, 264)(67, 223)(68, 219)(69, 238)(70, 258)(71, 286)(72, 221)(73, 288)(74, 285)(75, 287)(76, 284)(77, 227)(78, 253)(79, 230)(80, 252)(81, 231)(82, 241)(83, 239)(84, 235)(85, 237)(86, 257)(87, 256)(88, 260)(89, 259)(90, 245)(91, 243)(92, 263)(93, 269)(94, 268)(95, 271)(96, 270)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2250
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2 * Y3)^2, (Y3 * Y1)^2, Y2^4, (R * Y1^-1)^2, Y3^4, (R * Y3)^2, (Y2^-1 * Y3)^2, Y3^2 * R * Y2^-1 * R * Y2, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3, Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y1^-1 * Y2^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 12, 108, 15, 111)(4, 100, 17, 113, 20, 116)(6, 102, 24, 120, 26, 122)(7, 103, 27, 123, 9, 105)(8, 104, 28, 124, 31, 127)(10, 106, 35, 131, 37, 133)(11, 107, 38, 134, 22, 118)(13, 109, 43, 139, 45, 141)(14, 110, 30, 126, 48, 144)(16, 112, 50, 146, 40, 136)(18, 114, 33, 129, 53, 149)(19, 115, 54, 150, 41, 137)(21, 117, 58, 154, 47, 143)(23, 119, 61, 157, 62, 158)(25, 121, 55, 151, 64, 160)(29, 125, 39, 135, 74, 170)(32, 128, 42, 138, 70, 166)(34, 130, 68, 164, 71, 167)(36, 132, 67, 163, 77, 173)(44, 140, 81, 177, 75, 171)(46, 142, 88, 184, 86, 182)(49, 145, 63, 159, 76, 172)(51, 147, 78, 174, 65, 161)(52, 148, 79, 175, 56, 152)(57, 153, 60, 156, 72, 168)(59, 155, 69, 165, 66, 162)(73, 169, 93, 189, 89, 185)(80, 176, 85, 181, 92, 188)(82, 178, 87, 183, 94, 190)(83, 179, 91, 187, 95, 191)(84, 180, 90, 186, 96, 192)(193, 289, 195, 291, 205, 301, 198, 294)(194, 290, 200, 296, 221, 317, 202, 298)(196, 292, 210, 306, 236, 332, 208, 304)(197, 293, 213, 309, 251, 347, 215, 311)(199, 295, 217, 313, 238, 334, 206, 302)(201, 297, 225, 321, 265, 361, 224, 320)(203, 299, 228, 324, 267, 363, 222, 318)(204, 300, 231, 327, 272, 368, 233, 329)(207, 303, 241, 337, 253, 349, 226, 322)(209, 305, 243, 339, 281, 377, 240, 336)(211, 307, 239, 335, 268, 364, 227, 323)(212, 308, 247, 343, 279, 375, 249, 345)(214, 310, 245, 341, 280, 376, 252, 348)(216, 312, 244, 340, 223, 319, 255, 351)(218, 314, 246, 342, 283, 379, 258, 354)(219, 315, 259, 355, 274, 370, 232, 328)(220, 316, 261, 357, 284, 380, 263, 359)(229, 325, 260, 356, 275, 371, 237, 333)(230, 326, 270, 366, 286, 382, 262, 358)(234, 330, 276, 372, 256, 352, 273, 369)(235, 331, 277, 373, 248, 344, 250, 346)(242, 338, 282, 378, 257, 353, 278, 374)(254, 350, 271, 367, 287, 383, 266, 362)(264, 360, 288, 384, 269, 365, 285, 381)
	L = (1, 196)(2, 201)(3, 206)(4, 211)(5, 214)(6, 217)(7, 193)(8, 222)(9, 226)(10, 228)(11, 194)(12, 232)(13, 236)(14, 239)(15, 224)(16, 195)(17, 197)(18, 198)(19, 199)(20, 248)(21, 240)(22, 244)(23, 243)(24, 245)(25, 227)(26, 257)(27, 233)(28, 262)(29, 265)(30, 207)(31, 252)(32, 200)(33, 202)(34, 203)(35, 210)(36, 253)(37, 256)(38, 263)(39, 273)(40, 275)(41, 276)(42, 204)(43, 278)(44, 268)(45, 274)(46, 205)(47, 208)(48, 223)(49, 267)(50, 250)(51, 216)(52, 209)(53, 215)(54, 212)(55, 218)(56, 282)(57, 283)(58, 249)(59, 280)(60, 213)(61, 225)(62, 269)(63, 281)(64, 272)(65, 277)(66, 279)(67, 229)(68, 219)(69, 285)(70, 287)(71, 288)(72, 220)(73, 241)(74, 286)(75, 221)(76, 238)(77, 284)(78, 254)(79, 230)(80, 259)(81, 237)(82, 231)(83, 234)(84, 260)(85, 247)(86, 258)(87, 235)(88, 255)(89, 251)(90, 246)(91, 242)(92, 270)(93, 266)(94, 261)(95, 264)(96, 271)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2252
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, (Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^2, Y3^3 * Y1 * Y3^-3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 15, 111)(6, 102, 18, 114)(7, 103, 21, 117)(8, 104, 24, 120)(10, 106, 30, 126)(11, 107, 22, 118)(13, 109, 20, 116)(14, 110, 26, 122)(16, 112, 42, 138)(17, 113, 23, 119)(19, 115, 49, 145)(25, 121, 61, 157)(27, 123, 65, 161)(28, 124, 67, 163)(29, 125, 69, 165)(31, 127, 66, 162)(32, 128, 70, 166)(33, 129, 73, 169)(34, 130, 68, 164)(35, 131, 75, 171)(36, 132, 55, 151)(37, 133, 60, 156)(38, 134, 79, 175)(39, 135, 78, 174)(40, 136, 59, 155)(41, 137, 56, 152)(43, 139, 77, 173)(44, 140, 71, 167)(45, 141, 64, 160)(46, 142, 81, 177)(47, 143, 83, 179)(48, 144, 85, 181)(50, 146, 82, 178)(51, 147, 86, 182)(52, 148, 89, 185)(53, 149, 84, 180)(54, 150, 91, 187)(57, 153, 95, 191)(58, 154, 94, 190)(62, 158, 93, 189)(63, 159, 87, 183)(72, 168, 96, 192)(74, 170, 92, 188)(76, 172, 90, 186)(80, 176, 88, 184)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 205, 301)(197, 293, 208, 304)(199, 295, 214, 310)(200, 296, 217, 313)(201, 297, 219, 315)(202, 298, 223, 319)(203, 299, 225, 321)(204, 300, 227, 323)(206, 302, 231, 327)(207, 303, 220, 316)(209, 305, 236, 332)(210, 306, 238, 334)(211, 307, 242, 338)(212, 308, 244, 340)(213, 309, 246, 342)(215, 311, 250, 346)(216, 312, 239, 335)(218, 314, 255, 351)(221, 317, 243, 339)(222, 318, 263, 359)(224, 320, 240, 336)(226, 322, 267, 363)(228, 324, 271, 367)(229, 325, 262, 358)(230, 326, 257, 353)(232, 328, 264, 360)(233, 329, 258, 354)(234, 330, 265, 361)(235, 331, 272, 368)(237, 333, 268, 364)(241, 337, 279, 375)(245, 341, 283, 379)(247, 343, 287, 383)(248, 344, 278, 374)(249, 345, 273, 369)(251, 347, 280, 376)(252, 348, 274, 370)(253, 349, 281, 377)(254, 350, 288, 384)(256, 352, 284, 380)(259, 355, 276, 372)(260, 356, 275, 371)(261, 357, 286, 382)(266, 362, 285, 381)(269, 365, 282, 378)(270, 366, 277, 373)
	L = (1, 196)(2, 199)(3, 202)(4, 206)(5, 193)(6, 211)(7, 215)(8, 194)(9, 220)(10, 224)(11, 195)(12, 228)(13, 225)(14, 232)(15, 233)(16, 235)(17, 197)(18, 239)(19, 243)(20, 198)(21, 247)(22, 244)(23, 251)(24, 252)(25, 254)(26, 200)(27, 242)(28, 260)(29, 201)(30, 249)(31, 208)(32, 264)(33, 266)(34, 203)(35, 269)(36, 207)(37, 204)(38, 205)(39, 257)(40, 248)(41, 256)(42, 250)(43, 253)(44, 241)(45, 209)(46, 223)(47, 276)(48, 210)(49, 230)(50, 217)(51, 280)(52, 282)(53, 212)(54, 285)(55, 216)(56, 213)(57, 214)(58, 273)(59, 229)(60, 237)(61, 231)(62, 234)(63, 222)(64, 218)(65, 286)(66, 219)(67, 287)(68, 288)(69, 279)(70, 221)(71, 284)(72, 281)(73, 275)(74, 278)(75, 274)(76, 226)(77, 283)(78, 227)(79, 277)(80, 236)(81, 270)(82, 238)(83, 271)(84, 272)(85, 263)(86, 240)(87, 268)(88, 265)(89, 259)(90, 262)(91, 258)(92, 245)(93, 267)(94, 246)(95, 261)(96, 255)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2275
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, (Y1 * Y3)^4, Y2 * Y3 * Y2 * R * Y2 * Y1 * Y3 * R * Y3 * Y1, (Y1 * Y2 * Y1 * R * Y3)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3, (Y2 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 24, 120)(14, 110, 28, 124)(15, 111, 29, 125)(16, 112, 31, 127)(18, 114, 35, 131)(19, 115, 36, 132)(20, 116, 27, 123)(22, 118, 41, 137)(23, 119, 43, 139)(25, 121, 47, 143)(26, 122, 48, 144)(30, 126, 55, 151)(32, 128, 57, 153)(33, 129, 58, 154)(34, 130, 50, 146)(37, 133, 52, 148)(38, 134, 46, 142)(39, 135, 63, 159)(40, 136, 49, 145)(42, 138, 68, 164)(44, 140, 70, 166)(45, 141, 71, 167)(51, 147, 76, 172)(53, 149, 66, 162)(54, 150, 80, 176)(56, 152, 78, 174)(59, 155, 74, 170)(60, 156, 83, 179)(61, 157, 72, 168)(62, 158, 85, 181)(64, 160, 81, 177)(65, 161, 69, 165)(67, 163, 88, 184)(73, 169, 91, 187)(75, 171, 93, 189)(77, 173, 89, 185)(79, 175, 94, 190)(82, 178, 92, 188)(84, 180, 90, 186)(86, 182, 87, 183)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 202, 298)(198, 294, 206, 302)(199, 295, 207, 303)(200, 296, 210, 306)(201, 297, 211, 307)(203, 299, 214, 310)(204, 300, 217, 313)(205, 301, 218, 314)(208, 304, 224, 320)(209, 305, 225, 321)(212, 308, 230, 326)(213, 309, 231, 327)(215, 311, 236, 332)(216, 312, 237, 333)(219, 315, 242, 338)(220, 316, 243, 339)(221, 317, 245, 341)(222, 318, 248, 344)(223, 319, 241, 337)(226, 322, 252, 348)(227, 323, 253, 349)(228, 324, 254, 350)(229, 325, 235, 331)(232, 328, 257, 353)(233, 329, 258, 354)(234, 330, 261, 357)(238, 334, 265, 361)(239, 335, 266, 362)(240, 336, 267, 363)(244, 340, 270, 366)(246, 342, 273, 369)(247, 343, 274, 370)(249, 345, 276, 372)(250, 346, 269, 365)(251, 347, 272, 368)(255, 351, 278, 374)(256, 352, 263, 359)(259, 355, 281, 377)(260, 356, 282, 378)(262, 358, 284, 380)(264, 360, 280, 376)(268, 364, 286, 382)(271, 367, 285, 381)(275, 371, 287, 383)(277, 373, 279, 375)(283, 379, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 204)(6, 194)(7, 208)(8, 195)(9, 212)(10, 210)(11, 215)(12, 197)(13, 219)(14, 217)(15, 222)(16, 199)(17, 226)(18, 202)(19, 229)(20, 201)(21, 232)(22, 234)(23, 203)(24, 238)(25, 206)(26, 241)(27, 205)(28, 244)(29, 246)(30, 207)(31, 242)(32, 248)(33, 251)(34, 209)(35, 240)(36, 239)(37, 211)(38, 235)(39, 256)(40, 213)(41, 259)(42, 214)(43, 230)(44, 261)(45, 264)(46, 216)(47, 228)(48, 227)(49, 218)(50, 223)(51, 269)(52, 220)(53, 271)(54, 221)(55, 275)(56, 224)(57, 266)(58, 270)(59, 225)(60, 272)(61, 262)(62, 276)(63, 274)(64, 231)(65, 263)(66, 279)(67, 233)(68, 283)(69, 236)(70, 253)(71, 257)(72, 237)(73, 280)(74, 249)(75, 284)(76, 282)(77, 243)(78, 250)(79, 245)(80, 252)(81, 285)(82, 255)(83, 247)(84, 254)(85, 281)(86, 287)(87, 258)(88, 265)(89, 277)(90, 268)(91, 260)(92, 267)(93, 273)(94, 288)(95, 278)(96, 286)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2274
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1475>$ (small group id <192, 1475>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3^6, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-2 * Y2^-1, Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3, Y3^-2 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2^-1)^4, (Y2 * Y3^-1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 23, 119)(9, 105, 29, 125)(12, 108, 37, 133)(13, 109, 28, 124)(14, 110, 31, 127)(15, 111, 34, 130)(16, 112, 25, 121)(18, 114, 51, 147)(19, 115, 26, 122)(20, 116, 58, 154)(21, 117, 61, 157)(22, 118, 27, 123)(24, 120, 66, 162)(30, 126, 38, 134)(32, 128, 56, 152)(33, 129, 83, 179)(35, 131, 45, 141)(36, 132, 64, 160)(39, 135, 86, 182)(40, 136, 70, 166)(41, 137, 79, 175)(42, 138, 68, 164)(43, 139, 76, 172)(44, 140, 50, 146)(46, 142, 74, 170)(47, 143, 82, 178)(48, 144, 71, 167)(49, 145, 89, 185)(52, 148, 87, 183)(53, 149, 85, 181)(54, 150, 69, 165)(55, 151, 93, 189)(57, 153, 72, 168)(59, 155, 84, 180)(60, 156, 75, 171)(62, 158, 81, 177)(63, 159, 73, 169)(65, 161, 67, 163)(77, 173, 95, 191)(78, 174, 92, 188)(80, 176, 90, 186)(88, 184, 94, 190)(91, 187, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 218, 314, 220, 316)(202, 298, 224, 320, 225, 321)(203, 299, 227, 323, 228, 324)(204, 300, 230, 326, 232, 328)(205, 301, 233, 329, 234, 330)(207, 303, 237, 333, 239, 335)(209, 305, 241, 337, 242, 338)(210, 306, 244, 340, 246, 342)(211, 307, 247, 343, 248, 344)(214, 310, 256, 352, 257, 353)(215, 311, 255, 351, 245, 341)(216, 312, 243, 339, 260, 356)(217, 313, 261, 357, 262, 358)(219, 315, 265, 361, 267, 363)(221, 317, 269, 365, 249, 345)(222, 318, 270, 366, 271, 367)(223, 319, 272, 368, 250, 346)(226, 322, 277, 373, 278, 374)(229, 325, 253, 349, 280, 376)(231, 327, 281, 377, 254, 350)(235, 331, 236, 332, 251, 347)(238, 334, 282, 378, 284, 380)(240, 336, 252, 348, 283, 379)(258, 354, 275, 371, 286, 382)(259, 355, 287, 383, 276, 372)(263, 359, 264, 360, 273, 369)(266, 362, 285, 381, 279, 375)(268, 364, 274, 370, 288, 384)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 216)(8, 219)(9, 222)(10, 194)(11, 220)(12, 231)(13, 195)(14, 236)(15, 238)(16, 240)(17, 218)(18, 245)(19, 197)(20, 251)(21, 254)(22, 198)(23, 208)(24, 259)(25, 199)(26, 264)(27, 266)(28, 268)(29, 206)(30, 228)(31, 201)(32, 273)(33, 276)(34, 202)(35, 225)(36, 279)(37, 203)(38, 221)(39, 282)(40, 252)(41, 269)(42, 255)(43, 205)(44, 244)(45, 232)(46, 214)(47, 234)(48, 247)(49, 280)(50, 223)(51, 209)(52, 256)(53, 284)(54, 283)(55, 257)(56, 239)(57, 211)(58, 267)(59, 275)(60, 212)(61, 265)(62, 248)(63, 213)(64, 230)(65, 258)(66, 215)(67, 285)(68, 274)(69, 241)(70, 227)(71, 217)(72, 270)(73, 260)(74, 226)(75, 262)(76, 272)(77, 286)(78, 277)(79, 288)(80, 278)(81, 253)(82, 224)(83, 237)(84, 250)(85, 243)(86, 229)(87, 242)(88, 287)(89, 246)(90, 235)(91, 233)(92, 249)(93, 263)(94, 281)(95, 271)(96, 261)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2271
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1480>$ (small group id <192, 1480>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1, (Y3 * Y2^-1)^4, (Y3^-1 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 23, 119)(9, 105, 29, 125)(12, 108, 24, 120)(13, 109, 28, 124)(14, 110, 31, 127)(15, 111, 34, 130)(16, 112, 25, 121)(18, 114, 48, 144)(19, 115, 26, 122)(20, 116, 54, 150)(21, 117, 33, 129)(22, 118, 27, 123)(30, 126, 70, 166)(32, 128, 76, 172)(35, 131, 50, 146)(36, 132, 79, 175)(37, 133, 80, 176)(38, 134, 63, 159)(39, 135, 67, 163)(40, 136, 61, 157)(41, 137, 69, 165)(42, 138, 75, 171)(43, 139, 78, 174)(44, 140, 62, 158)(45, 141, 77, 173)(46, 142, 64, 160)(47, 143, 84, 180)(49, 145, 71, 167)(51, 147, 73, 169)(52, 148, 87, 183)(53, 149, 65, 161)(55, 151, 68, 164)(56, 152, 66, 162)(57, 153, 90, 186)(58, 154, 72, 168)(59, 155, 91, 187)(60, 156, 92, 188)(74, 170, 95, 191)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 85, 181)(86, 182, 89, 185)(88, 184, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 218, 314, 220, 316)(202, 298, 224, 320, 225, 321)(203, 299, 227, 323, 228, 324)(204, 300, 229, 325, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 235, 331, 237, 333)(209, 305, 226, 322, 239, 335)(210, 306, 241, 337, 236, 332)(211, 307, 243, 339, 244, 340)(214, 310, 249, 345, 221, 317)(215, 311, 250, 346, 251, 347)(216, 312, 252, 348, 253, 349)(217, 313, 254, 350, 255, 351)(219, 315, 258, 354, 260, 356)(222, 318, 263, 359, 259, 355)(223, 319, 265, 361, 266, 362)(233, 329, 234, 330, 271, 367)(238, 334, 247, 343, 274, 370)(240, 336, 278, 374, 279, 375)(242, 338, 280, 376, 248, 344)(245, 341, 273, 369, 276, 372)(246, 342, 277, 373, 272, 368)(256, 352, 257, 353, 283, 379)(261, 357, 269, 365, 286, 382)(262, 358, 275, 371, 287, 383)(264, 360, 288, 384, 270, 366)(267, 363, 285, 381, 282, 378)(268, 364, 281, 377, 284, 380)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 216)(8, 219)(9, 222)(10, 194)(11, 220)(12, 215)(13, 195)(14, 234)(15, 236)(16, 238)(17, 218)(18, 242)(19, 197)(20, 245)(21, 235)(22, 198)(23, 208)(24, 203)(25, 199)(26, 257)(27, 259)(28, 261)(29, 206)(30, 264)(31, 201)(32, 267)(33, 258)(34, 202)(35, 240)(36, 266)(37, 273)(38, 247)(39, 214)(40, 250)(41, 205)(42, 268)(43, 275)(44, 274)(45, 232)(46, 243)(47, 277)(48, 209)(49, 249)(50, 230)(51, 233)(52, 280)(53, 211)(54, 260)(55, 212)(56, 213)(57, 281)(58, 262)(59, 244)(60, 285)(61, 269)(62, 226)(63, 227)(64, 217)(65, 246)(66, 278)(67, 286)(68, 255)(69, 265)(70, 221)(71, 239)(72, 253)(73, 256)(74, 288)(75, 223)(76, 237)(77, 224)(78, 225)(79, 229)(80, 228)(81, 284)(82, 231)(83, 276)(84, 241)(85, 270)(86, 282)(87, 283)(88, 287)(89, 248)(90, 263)(91, 252)(92, 251)(93, 272)(94, 254)(95, 271)(96, 279)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2272
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * R * Y2^-1, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 18, 114)(9, 105, 23, 119)(12, 108, 28, 124)(13, 109, 26, 122)(14, 110, 30, 126)(15, 111, 22, 118)(17, 113, 33, 129)(19, 115, 38, 134)(20, 116, 36, 132)(21, 117, 40, 136)(24, 120, 43, 139)(25, 121, 45, 141)(27, 123, 50, 146)(29, 125, 49, 145)(31, 127, 54, 150)(32, 128, 55, 151)(34, 130, 58, 154)(35, 131, 59, 155)(37, 133, 64, 160)(39, 135, 63, 159)(41, 137, 68, 164)(42, 138, 69, 165)(44, 140, 72, 168)(46, 142, 71, 167)(47, 143, 66, 162)(48, 144, 74, 170)(51, 147, 77, 173)(52, 148, 61, 157)(53, 149, 79, 175)(56, 152, 83, 179)(57, 153, 60, 156)(62, 158, 85, 181)(65, 161, 87, 183)(67, 163, 89, 185)(70, 166, 92, 188)(73, 169, 88, 184)(75, 171, 81, 177)(76, 172, 91, 187)(78, 174, 80, 176)(82, 178, 86, 182)(84, 180, 90, 186)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 204, 300)(198, 294, 209, 305, 205, 301)(200, 296, 213, 309, 211, 307)(202, 298, 216, 312, 212, 308)(203, 299, 217, 313, 219, 315)(207, 303, 221, 317, 223, 319)(208, 304, 224, 320, 226, 322)(210, 306, 227, 323, 229, 325)(214, 310, 231, 327, 233, 329)(215, 311, 234, 330, 236, 332)(218, 314, 240, 336, 238, 334)(220, 316, 243, 339, 239, 335)(222, 318, 244, 340, 245, 341)(225, 321, 249, 345, 248, 344)(228, 324, 254, 350, 252, 348)(230, 326, 257, 353, 253, 349)(232, 328, 258, 354, 259, 355)(235, 331, 263, 359, 262, 358)(237, 333, 260, 356, 265, 361)(241, 337, 264, 360, 267, 363)(242, 338, 268, 364, 270, 366)(246, 342, 272, 368, 251, 347)(247, 343, 273, 369, 274, 370)(250, 346, 276, 372, 255, 351)(256, 352, 278, 374, 280, 376)(261, 357, 282, 378, 283, 379)(266, 362, 271, 367, 285, 381)(269, 365, 275, 371, 286, 382)(277, 373, 281, 377, 287, 383)(279, 375, 284, 380, 288, 384)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 206)(6, 193)(7, 211)(8, 214)(9, 213)(10, 194)(11, 218)(12, 221)(13, 195)(14, 223)(15, 198)(16, 225)(17, 197)(18, 228)(19, 231)(20, 199)(21, 233)(22, 202)(23, 235)(24, 201)(25, 238)(26, 241)(27, 240)(28, 203)(29, 205)(30, 208)(31, 209)(32, 248)(33, 246)(34, 249)(35, 252)(36, 255)(37, 254)(38, 210)(39, 212)(40, 215)(41, 216)(42, 262)(43, 260)(44, 263)(45, 258)(46, 264)(47, 217)(48, 267)(49, 220)(50, 269)(51, 219)(52, 226)(53, 224)(54, 222)(55, 271)(56, 272)(57, 251)(58, 253)(59, 244)(60, 250)(61, 227)(62, 276)(63, 230)(64, 279)(65, 229)(66, 236)(67, 234)(68, 232)(69, 281)(70, 265)(71, 237)(72, 239)(73, 259)(74, 242)(75, 243)(76, 286)(77, 273)(78, 275)(79, 270)(80, 245)(81, 266)(82, 285)(83, 247)(84, 257)(85, 256)(86, 288)(87, 282)(88, 284)(89, 280)(90, 277)(91, 287)(92, 261)(93, 268)(94, 274)(95, 278)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2273
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1475>$ (small group id <192, 1475>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2 * Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^2 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y3^-1 * Y2)^2, Y2 * Y1^-1 * R * Y3^-1 * Y1 * Y2 * R * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 24, 120, 13, 109)(4, 100, 15, 111, 25, 121, 17, 113)(6, 102, 21, 117, 26, 122, 22, 118)(8, 104, 27, 123, 18, 114, 29, 125)(9, 105, 31, 127, 19, 115, 33, 129)(10, 106, 34, 130, 20, 116, 35, 131)(12, 108, 40, 136, 60, 156, 42, 138)(14, 110, 46, 142, 61, 157, 30, 126)(16, 112, 50, 146, 62, 158, 52, 148)(23, 119, 58, 154, 63, 159, 59, 155)(28, 124, 67, 163, 55, 151, 69, 165)(32, 128, 76, 172, 56, 152, 78, 174)(36, 132, 81, 177, 57, 153, 82, 178)(37, 133, 70, 166, 43, 139, 64, 160)(38, 134, 73, 169, 44, 140, 83, 179)(39, 135, 66, 162, 45, 141, 72, 168)(41, 137, 85, 181, 89, 185, 68, 164)(47, 143, 65, 161, 90, 186, 71, 167)(48, 144, 74, 170, 53, 149, 79, 175)(49, 145, 80, 176, 54, 150, 75, 171)(51, 147, 77, 173, 91, 187, 88, 184)(84, 180, 95, 191, 87, 183, 93, 189)(86, 182, 94, 190, 96, 192, 92, 188)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 216, 312)(201, 297, 222, 318)(202, 298, 220, 316)(203, 299, 229, 325)(205, 301, 235, 331)(207, 303, 240, 336)(208, 304, 239, 335)(209, 305, 245, 341)(211, 307, 238, 334)(212, 308, 247, 343)(213, 309, 236, 332)(214, 310, 230, 326)(215, 311, 233, 329)(217, 313, 253, 349)(218, 314, 252, 348)(219, 315, 256, 352)(221, 317, 262, 358)(223, 319, 266, 362)(224, 320, 265, 361)(225, 321, 271, 367)(226, 322, 263, 359)(227, 323, 257, 353)(228, 324, 260, 356)(231, 327, 273, 369)(232, 328, 270, 366)(234, 330, 268, 364)(237, 333, 274, 370)(241, 337, 279, 375)(242, 338, 259, 355)(243, 339, 278, 374)(244, 340, 261, 357)(246, 342, 276, 372)(248, 344, 275, 371)(249, 345, 277, 373)(250, 346, 264, 360)(251, 347, 258, 354)(254, 350, 282, 378)(255, 351, 281, 377)(267, 363, 286, 382)(269, 365, 285, 381)(272, 368, 284, 380)(280, 376, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 217)(8, 220)(9, 224)(10, 194)(11, 230)(12, 233)(13, 236)(14, 195)(15, 226)(16, 243)(17, 227)(18, 247)(19, 248)(20, 197)(21, 235)(22, 229)(23, 198)(24, 252)(25, 254)(26, 199)(27, 257)(28, 260)(29, 263)(30, 200)(31, 214)(32, 269)(33, 213)(34, 262)(35, 256)(36, 202)(37, 273)(38, 266)(39, 203)(40, 258)(41, 278)(42, 264)(43, 274)(44, 271)(45, 205)(46, 210)(47, 206)(48, 279)(49, 207)(50, 272)(51, 215)(52, 267)(53, 276)(54, 209)(55, 277)(56, 280)(57, 212)(58, 268)(59, 270)(60, 281)(61, 216)(62, 283)(63, 218)(64, 251)(65, 245)(66, 219)(67, 237)(68, 285)(69, 231)(70, 250)(71, 240)(72, 221)(73, 222)(74, 286)(75, 223)(76, 241)(77, 228)(78, 246)(79, 284)(80, 225)(81, 244)(82, 242)(83, 238)(84, 232)(85, 287)(86, 239)(87, 234)(88, 249)(89, 288)(90, 253)(91, 255)(92, 259)(93, 265)(94, 261)(95, 275)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2268
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1480>$ (small group id <192, 1480>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3^-1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3^4 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y1)^3, (Y1 * Y2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 24, 120, 13, 109)(4, 100, 15, 111, 25, 121, 17, 113)(6, 102, 21, 117, 26, 122, 22, 118)(8, 104, 27, 123, 18, 114, 29, 125)(9, 105, 31, 127, 19, 115, 33, 129)(10, 106, 34, 130, 20, 116, 35, 131)(12, 108, 40, 136, 55, 151, 42, 138)(14, 110, 46, 142, 56, 152, 30, 126)(16, 112, 50, 146, 23, 119, 51, 147)(28, 124, 60, 156, 54, 150, 62, 158)(32, 128, 69, 165, 36, 132, 70, 166)(37, 133, 73, 169, 43, 139, 74, 170)(38, 134, 66, 162, 44, 140, 61, 157)(39, 135, 75, 171, 45, 141, 76, 172)(41, 137, 64, 160, 47, 143, 58, 154)(48, 144, 80, 176, 52, 148, 78, 174)(49, 145, 77, 173, 53, 149, 79, 175)(57, 153, 81, 177, 63, 159, 82, 178)(59, 155, 83, 179, 65, 161, 84, 180)(67, 163, 88, 184, 71, 167, 86, 182)(68, 164, 85, 181, 72, 168, 87, 183)(89, 185, 93, 189, 91, 187, 95, 191)(90, 186, 96, 192, 92, 188, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 216, 312)(201, 297, 222, 318)(202, 298, 220, 316)(203, 299, 229, 325)(205, 301, 235, 331)(207, 303, 240, 336)(208, 304, 239, 335)(209, 305, 244, 340)(211, 307, 238, 334)(212, 308, 246, 342)(213, 309, 236, 332)(214, 310, 230, 326)(215, 311, 233, 329)(217, 313, 248, 344)(218, 314, 247, 343)(219, 315, 249, 345)(221, 317, 255, 351)(223, 319, 259, 355)(224, 320, 258, 354)(225, 321, 263, 359)(226, 322, 256, 352)(227, 323, 250, 346)(228, 324, 253, 349)(231, 327, 264, 360)(232, 328, 269, 365)(234, 330, 271, 367)(237, 333, 260, 356)(241, 337, 251, 347)(242, 338, 267, 363)(243, 339, 268, 364)(245, 341, 257, 353)(252, 348, 277, 373)(254, 350, 279, 375)(261, 357, 275, 371)(262, 358, 276, 372)(265, 361, 281, 377)(266, 362, 283, 379)(270, 366, 282, 378)(272, 368, 284, 380)(273, 369, 285, 381)(274, 370, 287, 383)(278, 374, 286, 382)(280, 376, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 217)(8, 220)(9, 224)(10, 194)(11, 230)(12, 233)(13, 236)(14, 195)(15, 226)(16, 218)(17, 227)(18, 246)(19, 228)(20, 197)(21, 235)(22, 229)(23, 198)(24, 247)(25, 215)(26, 199)(27, 250)(28, 253)(29, 256)(30, 200)(31, 214)(32, 212)(33, 213)(34, 255)(35, 249)(36, 202)(37, 264)(38, 259)(39, 203)(40, 267)(41, 248)(42, 268)(43, 260)(44, 263)(45, 205)(46, 210)(47, 206)(48, 251)(49, 207)(50, 269)(51, 271)(52, 257)(53, 209)(54, 258)(55, 239)(56, 216)(57, 241)(58, 244)(59, 219)(60, 275)(61, 238)(62, 276)(63, 245)(64, 240)(65, 221)(66, 222)(67, 237)(68, 223)(69, 277)(70, 279)(71, 231)(72, 225)(73, 243)(74, 242)(75, 283)(76, 281)(77, 282)(78, 232)(79, 284)(80, 234)(81, 262)(82, 261)(83, 287)(84, 285)(85, 286)(86, 252)(87, 288)(88, 254)(89, 270)(90, 265)(91, 272)(92, 266)(93, 278)(94, 273)(95, 280)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2269
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-2 * Y3^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^3, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 18, 114, 13, 109)(4, 100, 15, 111, 6, 102, 16, 112)(8, 104, 19, 115, 17, 113, 21, 117)(9, 105, 23, 119, 10, 106, 24, 120)(12, 108, 28, 124, 14, 110, 29, 125)(20, 116, 36, 132, 22, 118, 37, 133)(25, 121, 38, 134, 30, 126, 33, 129)(26, 122, 43, 139, 27, 123, 44, 140)(31, 127, 47, 143, 32, 128, 48, 144)(34, 130, 51, 147, 35, 131, 52, 148)(39, 135, 55, 151, 40, 136, 56, 152)(41, 137, 57, 153, 42, 138, 58, 154)(45, 141, 61, 157, 46, 142, 62, 158)(49, 145, 65, 161, 50, 146, 66, 162)(53, 149, 69, 165, 54, 150, 70, 166)(59, 155, 75, 171, 60, 156, 76, 172)(63, 159, 72, 168, 64, 160, 71, 167)(67, 163, 81, 177, 68, 164, 82, 178)(73, 169, 85, 181, 74, 170, 86, 182)(77, 173, 88, 184, 78, 174, 87, 183)(79, 175, 89, 185, 80, 176, 90, 186)(83, 179, 92, 188, 84, 180, 91, 187)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 210, 306)(201, 297, 214, 310)(202, 298, 212, 308)(203, 299, 217, 313)(205, 301, 222, 318)(207, 303, 223, 319)(208, 304, 224, 320)(211, 307, 225, 321)(213, 309, 230, 326)(215, 311, 231, 327)(216, 312, 232, 328)(218, 314, 234, 330)(219, 315, 233, 329)(220, 316, 237, 333)(221, 317, 238, 334)(226, 322, 242, 338)(227, 323, 241, 337)(228, 324, 245, 341)(229, 325, 246, 342)(235, 331, 251, 347)(236, 332, 252, 348)(239, 335, 253, 349)(240, 336, 254, 350)(243, 339, 259, 355)(244, 340, 260, 356)(247, 343, 261, 357)(248, 344, 262, 358)(249, 345, 265, 361)(250, 346, 266, 362)(255, 351, 270, 366)(256, 352, 269, 365)(257, 353, 271, 367)(258, 354, 272, 368)(263, 359, 276, 372)(264, 360, 275, 371)(267, 363, 277, 373)(268, 364, 278, 374)(273, 369, 281, 377)(274, 370, 282, 378)(279, 375, 286, 382)(280, 376, 285, 381)(283, 379, 288, 384)(284, 380, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 198)(8, 212)(9, 197)(10, 194)(11, 218)(12, 210)(13, 219)(14, 195)(15, 216)(16, 215)(17, 214)(18, 206)(19, 226)(20, 209)(21, 227)(22, 200)(23, 207)(24, 208)(25, 233)(26, 205)(27, 203)(28, 236)(29, 235)(30, 234)(31, 231)(32, 232)(33, 241)(34, 213)(35, 211)(36, 244)(37, 243)(38, 242)(39, 224)(40, 223)(41, 222)(42, 217)(43, 220)(44, 221)(45, 251)(46, 252)(47, 255)(48, 256)(49, 230)(50, 225)(51, 228)(52, 229)(53, 259)(54, 260)(55, 263)(56, 264)(57, 257)(58, 258)(59, 238)(60, 237)(61, 269)(62, 270)(63, 240)(64, 239)(65, 250)(66, 249)(67, 246)(68, 245)(69, 275)(70, 276)(71, 248)(72, 247)(73, 272)(74, 271)(75, 279)(76, 280)(77, 254)(78, 253)(79, 265)(80, 266)(81, 283)(82, 284)(83, 262)(84, 261)(85, 285)(86, 286)(87, 268)(88, 267)(89, 287)(90, 288)(91, 274)(92, 273)(93, 278)(94, 277)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2270
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = C2 x GL(2,3) (small group id <96, 189>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^4, R * Y2 * R * Y2^-1, (Y3 * Y1^-1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 13, 109)(4, 100, 14, 110, 8, 104)(6, 102, 18, 114, 19, 115)(7, 103, 20, 116, 23, 119)(9, 105, 25, 121, 26, 122)(11, 107, 21, 117, 31, 127)(12, 108, 32, 128, 28, 124)(15, 111, 37, 133, 38, 134)(16, 112, 39, 135, 40, 136)(17, 113, 41, 137, 42, 138)(22, 118, 47, 143, 44, 140)(24, 120, 50, 146, 51, 147)(27, 123, 52, 148, 49, 145)(29, 125, 55, 151, 48, 144)(30, 126, 56, 152, 46, 142)(33, 129, 59, 155, 60, 156)(34, 130, 61, 157, 62, 158)(35, 131, 63, 159, 64, 160)(36, 132, 65, 161, 66, 162)(43, 139, 69, 165, 68, 164)(45, 141, 72, 168, 67, 163)(53, 149, 73, 169, 76, 172)(54, 150, 74, 170, 78, 174)(57, 153, 79, 175, 80, 176)(58, 154, 81, 177, 82, 178)(70, 166, 86, 182, 88, 184)(71, 167, 85, 181, 90, 186)(75, 171, 87, 183, 84, 180)(77, 173, 89, 185, 83, 179)(91, 187, 94, 190, 95, 191)(92, 188, 93, 189, 96, 192)(193, 289, 195, 291, 203, 299, 198, 294)(194, 290, 199, 295, 213, 309, 201, 297)(196, 292, 207, 303, 222, 318, 204, 300)(197, 293, 208, 304, 223, 319, 209, 305)(200, 296, 216, 312, 238, 334, 214, 310)(202, 298, 219, 315, 210, 306, 221, 317)(205, 301, 225, 321, 211, 307, 226, 322)(206, 302, 227, 323, 248, 344, 228, 324)(212, 308, 235, 331, 217, 313, 237, 333)(215, 311, 240, 336, 218, 314, 241, 337)(220, 316, 246, 342, 230, 326, 245, 341)(224, 320, 249, 345, 229, 325, 250, 346)(231, 327, 253, 349, 233, 329, 251, 347)(232, 328, 259, 355, 234, 330, 260, 356)(236, 332, 263, 359, 243, 339, 262, 358)(239, 335, 265, 361, 242, 338, 266, 362)(244, 340, 267, 363, 247, 343, 269, 365)(252, 348, 275, 371, 254, 350, 276, 372)(255, 351, 277, 373, 257, 353, 278, 374)(256, 352, 272, 368, 258, 354, 274, 370)(261, 357, 279, 375, 264, 360, 281, 377)(268, 364, 284, 380, 270, 366, 283, 379)(271, 367, 285, 381, 273, 369, 286, 382)(280, 376, 288, 384, 282, 378, 287, 383)
	L = (1, 196)(2, 200)(3, 204)(4, 193)(5, 206)(6, 207)(7, 214)(8, 194)(9, 216)(10, 220)(11, 222)(12, 195)(13, 224)(14, 197)(15, 198)(16, 228)(17, 227)(18, 230)(19, 229)(20, 236)(21, 238)(22, 199)(23, 239)(24, 201)(25, 243)(26, 242)(27, 245)(28, 202)(29, 246)(30, 203)(31, 248)(32, 205)(33, 250)(34, 249)(35, 209)(36, 208)(37, 211)(38, 210)(39, 258)(40, 257)(41, 256)(42, 255)(43, 262)(44, 212)(45, 263)(46, 213)(47, 215)(48, 266)(49, 265)(50, 218)(51, 217)(52, 268)(53, 219)(54, 221)(55, 270)(56, 223)(57, 226)(58, 225)(59, 274)(60, 273)(61, 272)(62, 271)(63, 234)(64, 233)(65, 232)(66, 231)(67, 277)(68, 278)(69, 280)(70, 235)(71, 237)(72, 282)(73, 241)(74, 240)(75, 283)(76, 244)(77, 284)(78, 247)(79, 254)(80, 253)(81, 252)(82, 251)(83, 285)(84, 286)(85, 259)(86, 260)(87, 287)(88, 261)(89, 288)(90, 264)(91, 267)(92, 269)(93, 275)(94, 276)(95, 279)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2267
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, R * Y2 * R * Y2^-1, Y2^4, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 13, 109)(4, 100, 14, 110, 8, 104)(6, 102, 18, 114, 19, 115)(7, 103, 20, 116, 23, 119)(9, 105, 25, 121, 26, 122)(11, 107, 21, 117, 31, 127)(12, 108, 32, 128, 28, 124)(15, 111, 37, 133, 38, 134)(16, 112, 39, 135, 40, 136)(17, 113, 41, 137, 42, 138)(22, 118, 47, 143, 44, 140)(24, 120, 50, 146, 51, 147)(27, 123, 52, 148, 54, 150)(29, 125, 56, 152, 57, 153)(30, 126, 58, 154, 46, 142)(33, 129, 61, 157, 45, 141)(34, 130, 62, 158, 43, 139)(35, 131, 63, 159, 64, 160)(36, 132, 65, 161, 66, 162)(48, 144, 73, 169, 68, 164)(49, 145, 74, 170, 67, 163)(53, 149, 76, 172, 75, 171)(55, 151, 79, 175, 80, 176)(59, 155, 69, 165, 81, 177)(60, 156, 70, 166, 82, 178)(71, 167, 85, 181, 87, 183)(72, 168, 86, 182, 88, 184)(77, 173, 90, 186, 84, 180)(78, 174, 89, 185, 83, 179)(91, 187, 93, 189, 95, 191)(92, 188, 94, 190, 96, 192)(193, 289, 195, 291, 203, 299, 198, 294)(194, 290, 199, 295, 213, 309, 201, 297)(196, 292, 207, 303, 222, 318, 204, 300)(197, 293, 208, 304, 223, 319, 209, 305)(200, 296, 216, 312, 238, 334, 214, 310)(202, 298, 219, 315, 210, 306, 221, 317)(205, 301, 225, 321, 211, 307, 226, 322)(206, 302, 227, 323, 250, 346, 228, 324)(212, 308, 235, 331, 217, 313, 237, 333)(215, 311, 240, 336, 218, 314, 241, 337)(220, 316, 247, 343, 230, 326, 245, 341)(224, 320, 251, 347, 229, 325, 252, 348)(231, 327, 259, 355, 233, 329, 260, 356)(232, 328, 248, 344, 234, 330, 244, 340)(236, 332, 262, 358, 243, 339, 261, 357)(239, 335, 263, 359, 242, 338, 264, 360)(246, 342, 269, 365, 249, 345, 270, 366)(253, 349, 275, 371, 254, 350, 276, 372)(255, 351, 272, 368, 257, 353, 267, 363)(256, 352, 277, 373, 258, 354, 278, 374)(265, 361, 281, 377, 266, 362, 282, 378)(268, 364, 283, 379, 271, 367, 284, 380)(273, 369, 285, 381, 274, 370, 286, 382)(279, 375, 287, 383, 280, 376, 288, 384)
	L = (1, 196)(2, 200)(3, 204)(4, 193)(5, 206)(6, 207)(7, 214)(8, 194)(9, 216)(10, 220)(11, 222)(12, 195)(13, 224)(14, 197)(15, 198)(16, 228)(17, 227)(18, 230)(19, 229)(20, 236)(21, 238)(22, 199)(23, 239)(24, 201)(25, 243)(26, 242)(27, 245)(28, 202)(29, 247)(30, 203)(31, 250)(32, 205)(33, 252)(34, 251)(35, 209)(36, 208)(37, 211)(38, 210)(39, 258)(40, 257)(41, 256)(42, 255)(43, 261)(44, 212)(45, 262)(46, 213)(47, 215)(48, 264)(49, 263)(50, 218)(51, 217)(52, 267)(53, 219)(54, 268)(55, 221)(56, 272)(57, 271)(58, 223)(59, 226)(60, 225)(61, 274)(62, 273)(63, 234)(64, 233)(65, 232)(66, 231)(67, 277)(68, 278)(69, 235)(70, 237)(71, 241)(72, 240)(73, 280)(74, 279)(75, 244)(76, 246)(77, 284)(78, 283)(79, 249)(80, 248)(81, 254)(82, 253)(83, 285)(84, 286)(85, 259)(86, 260)(87, 266)(88, 265)(89, 287)(90, 288)(91, 270)(92, 269)(93, 275)(94, 276)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2266
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1482>$ (small group id <192, 1482>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y2 * Y3 * Y2 * Y3^-1, R * Y2 * R * Y2^-1, Y3^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 18, 114)(9, 105, 23, 119)(12, 108, 28, 124)(13, 109, 26, 122)(14, 110, 30, 126)(15, 111, 22, 118)(17, 113, 33, 129)(19, 115, 38, 134)(20, 116, 36, 132)(21, 117, 40, 136)(24, 120, 43, 139)(25, 121, 45, 141)(27, 123, 50, 146)(29, 125, 49, 145)(31, 127, 54, 150)(32, 128, 55, 151)(34, 130, 58, 154)(35, 131, 59, 155)(37, 133, 64, 160)(39, 135, 63, 159)(41, 137, 68, 164)(42, 138, 69, 165)(44, 140, 72, 168)(46, 142, 76, 172)(47, 143, 74, 170)(48, 144, 62, 158)(51, 147, 65, 161)(52, 148, 79, 175)(53, 149, 67, 163)(56, 152, 70, 166)(57, 153, 82, 178)(60, 156, 88, 184)(61, 157, 86, 182)(66, 162, 89, 185)(71, 167, 90, 186)(73, 169, 85, 181)(75, 171, 80, 176)(77, 173, 83, 179)(78, 174, 91, 187)(81, 177, 87, 183)(84, 180, 92, 188)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 204, 300)(198, 294, 209, 305, 205, 301)(200, 296, 213, 309, 211, 307)(202, 298, 216, 312, 212, 308)(203, 299, 217, 313, 219, 315)(207, 303, 221, 317, 223, 319)(208, 304, 224, 320, 226, 322)(210, 306, 227, 323, 229, 325)(214, 310, 231, 327, 233, 329)(215, 311, 234, 330, 236, 332)(218, 314, 240, 336, 238, 334)(220, 316, 243, 339, 239, 335)(222, 318, 244, 340, 245, 341)(225, 321, 249, 345, 248, 344)(228, 324, 254, 350, 252, 348)(230, 326, 257, 353, 253, 349)(232, 328, 258, 354, 259, 355)(235, 331, 263, 359, 262, 358)(237, 333, 265, 361, 267, 363)(241, 337, 269, 365, 256, 352)(242, 338, 255, 351, 270, 366)(246, 342, 261, 357, 272, 368)(247, 343, 273, 369, 260, 356)(250, 346, 275, 371, 276, 372)(251, 347, 277, 373, 279, 375)(264, 360, 283, 379, 284, 380)(266, 362, 274, 370, 285, 381)(268, 364, 271, 367, 286, 382)(278, 374, 282, 378, 287, 383)(280, 376, 281, 377, 288, 384)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 206)(6, 193)(7, 211)(8, 214)(9, 213)(10, 194)(11, 218)(12, 221)(13, 195)(14, 223)(15, 198)(16, 225)(17, 197)(18, 228)(19, 231)(20, 199)(21, 233)(22, 202)(23, 235)(24, 201)(25, 238)(26, 241)(27, 240)(28, 203)(29, 205)(30, 208)(31, 209)(32, 248)(33, 246)(34, 249)(35, 252)(36, 255)(37, 254)(38, 210)(39, 212)(40, 215)(41, 216)(42, 262)(43, 260)(44, 263)(45, 266)(46, 269)(47, 217)(48, 256)(49, 220)(50, 257)(51, 219)(52, 226)(53, 224)(54, 222)(55, 259)(56, 261)(57, 272)(58, 271)(59, 278)(60, 270)(61, 227)(62, 242)(63, 230)(64, 243)(65, 229)(66, 236)(67, 234)(68, 232)(69, 245)(70, 247)(71, 273)(72, 281)(73, 285)(74, 275)(75, 274)(76, 237)(77, 239)(78, 253)(79, 267)(80, 244)(81, 258)(82, 250)(83, 268)(84, 286)(85, 287)(86, 283)(87, 282)(88, 251)(89, 279)(90, 264)(91, 280)(92, 288)(93, 276)(94, 265)(95, 284)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2278
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3, Y3^8, (Y2 * R * Y2^-1 * Y1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 23, 119)(9, 105, 29, 125)(12, 108, 33, 129)(13, 109, 36, 132)(14, 110, 26, 122)(15, 111, 34, 130)(16, 112, 47, 143)(18, 114, 32, 128)(19, 115, 31, 127)(20, 116, 30, 126)(21, 117, 24, 120)(22, 118, 27, 123)(25, 121, 58, 154)(28, 124, 68, 164)(35, 131, 79, 175)(37, 133, 81, 177)(38, 134, 77, 173)(39, 135, 61, 157)(40, 136, 67, 163)(41, 137, 63, 159)(42, 138, 50, 146)(43, 139, 66, 162)(44, 140, 65, 161)(45, 141, 62, 158)(46, 142, 88, 184)(48, 144, 78, 174)(49, 145, 90, 186)(51, 147, 74, 170)(52, 148, 76, 172)(53, 149, 72, 168)(54, 150, 89, 185)(55, 151, 73, 169)(56, 152, 60, 156)(57, 153, 69, 165)(59, 155, 91, 187)(64, 160, 71, 167)(70, 166, 96, 192)(75, 171, 95, 191)(80, 176, 87, 183)(82, 178, 86, 182)(83, 179, 92, 188)(84, 180, 93, 189)(85, 181, 94, 190)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 218, 314, 220, 316)(202, 298, 224, 320, 225, 321)(203, 299, 227, 323, 219, 315)(204, 300, 229, 325, 231, 327)(205, 301, 232, 328, 233, 329)(207, 303, 215, 311, 238, 334)(209, 305, 241, 337, 242, 338)(210, 306, 243, 339, 237, 333)(211, 307, 245, 341, 246, 342)(214, 310, 249, 345, 236, 332)(216, 312, 251, 347, 253, 349)(217, 313, 254, 350, 255, 351)(221, 317, 262, 358, 263, 359)(222, 318, 264, 360, 259, 355)(223, 319, 266, 362, 267, 363)(226, 322, 270, 366, 258, 354)(228, 324, 273, 369, 274, 370)(230, 326, 271, 367, 276, 372)(234, 330, 235, 331, 275, 371)(239, 335, 281, 377, 272, 368)(240, 336, 247, 343, 277, 373)(244, 340, 282, 378, 248, 344)(250, 346, 283, 379, 279, 375)(252, 348, 280, 376, 285, 381)(256, 352, 257, 353, 284, 380)(260, 356, 287, 383, 278, 374)(261, 357, 268, 364, 286, 382)(265, 361, 288, 384, 269, 365)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 216)(8, 219)(9, 222)(10, 194)(11, 228)(12, 230)(13, 195)(14, 235)(15, 237)(16, 240)(17, 223)(18, 244)(19, 197)(20, 221)(21, 215)(22, 198)(23, 250)(24, 252)(25, 199)(26, 257)(27, 259)(28, 261)(29, 211)(30, 265)(31, 201)(32, 209)(33, 203)(34, 202)(35, 255)(36, 242)(37, 262)(38, 208)(39, 247)(40, 214)(41, 271)(42, 205)(43, 278)(44, 206)(45, 277)(46, 233)(47, 269)(48, 245)(49, 281)(50, 264)(51, 249)(52, 231)(53, 234)(54, 282)(55, 212)(56, 213)(57, 260)(58, 263)(59, 241)(60, 220)(61, 268)(62, 226)(63, 280)(64, 217)(65, 272)(66, 218)(67, 286)(68, 248)(69, 266)(70, 287)(71, 243)(72, 270)(73, 253)(74, 256)(75, 288)(76, 224)(77, 225)(78, 239)(79, 279)(80, 227)(81, 284)(82, 258)(83, 229)(84, 246)(85, 232)(86, 238)(87, 236)(88, 274)(89, 285)(90, 283)(91, 275)(92, 251)(93, 267)(94, 254)(95, 276)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2279
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1482>$ (small group id <192, 1482>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-2 * Y1, Y3^-1 * Y1^-2 * Y3^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y3 * Y1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 18, 114, 13, 109)(4, 100, 15, 111, 6, 102, 16, 112)(8, 104, 19, 115, 17, 113, 21, 117)(9, 105, 23, 119, 10, 106, 24, 120)(12, 108, 28, 124, 14, 110, 29, 125)(20, 116, 36, 132, 22, 118, 37, 133)(25, 121, 41, 137, 30, 126, 43, 139)(26, 122, 45, 141, 27, 123, 46, 142)(31, 127, 49, 145, 32, 128, 50, 146)(33, 129, 51, 147, 38, 134, 53, 149)(34, 130, 55, 151, 35, 131, 56, 152)(39, 135, 59, 155, 40, 136, 60, 156)(42, 138, 64, 160, 44, 140, 65, 161)(47, 143, 69, 165, 48, 144, 70, 166)(52, 148, 78, 174, 54, 150, 79, 175)(57, 153, 83, 179, 58, 154, 84, 180)(61, 157, 75, 171, 66, 162, 80, 176)(62, 158, 88, 184, 63, 159, 85, 181)(67, 163, 82, 178, 68, 164, 81, 177)(71, 167, 77, 173, 74, 170, 76, 172)(72, 168, 87, 183, 73, 169, 86, 182)(89, 185, 96, 192, 90, 186, 95, 191)(91, 187, 94, 190, 92, 188, 93, 189)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 210, 306)(201, 297, 214, 310)(202, 298, 212, 308)(203, 299, 217, 313)(205, 301, 222, 318)(207, 303, 223, 319)(208, 304, 224, 320)(211, 307, 225, 321)(213, 309, 230, 326)(215, 311, 231, 327)(216, 312, 232, 328)(218, 314, 236, 332)(219, 315, 234, 330)(220, 316, 239, 335)(221, 317, 240, 336)(226, 322, 246, 342)(227, 323, 244, 340)(228, 324, 249, 345)(229, 325, 250, 346)(233, 329, 253, 349)(235, 331, 258, 354)(237, 333, 259, 355)(238, 334, 260, 356)(241, 337, 263, 359)(242, 338, 266, 362)(243, 339, 267, 363)(245, 341, 272, 368)(247, 343, 273, 369)(248, 344, 274, 370)(251, 347, 277, 373)(252, 348, 280, 376)(254, 350, 282, 378)(255, 351, 281, 377)(256, 352, 278, 374)(257, 353, 279, 375)(261, 357, 283, 379)(262, 358, 284, 380)(264, 360, 271, 367)(265, 361, 270, 366)(268, 364, 286, 382)(269, 365, 285, 381)(275, 371, 287, 383)(276, 372, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 198)(8, 212)(9, 197)(10, 194)(11, 218)(12, 210)(13, 219)(14, 195)(15, 216)(16, 215)(17, 214)(18, 206)(19, 226)(20, 209)(21, 227)(22, 200)(23, 207)(24, 208)(25, 234)(26, 205)(27, 203)(28, 238)(29, 237)(30, 236)(31, 231)(32, 232)(33, 244)(34, 213)(35, 211)(36, 248)(37, 247)(38, 246)(39, 224)(40, 223)(41, 254)(42, 222)(43, 255)(44, 217)(45, 220)(46, 221)(47, 259)(48, 260)(49, 264)(50, 265)(51, 268)(52, 230)(53, 269)(54, 225)(55, 228)(56, 229)(57, 273)(58, 274)(59, 278)(60, 279)(61, 281)(62, 235)(63, 233)(64, 277)(65, 280)(66, 282)(67, 240)(68, 239)(69, 275)(70, 276)(71, 270)(72, 242)(73, 241)(74, 271)(75, 285)(76, 245)(77, 243)(78, 266)(79, 263)(80, 286)(81, 250)(82, 249)(83, 262)(84, 261)(85, 257)(86, 252)(87, 251)(88, 256)(89, 258)(90, 253)(91, 288)(92, 287)(93, 272)(94, 267)(95, 283)(96, 284)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2276
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (Y1 * Y2 * Y1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^3 * Y1^-2 * Y3, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y3 * Y1)^3, Y2 * Y1 * R * Y2 * Y1^-1 * Y3^-1 * R * Y1, Y1^-1 * Y2 * Y3 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 24, 120, 13, 109)(4, 100, 15, 111, 25, 121, 17, 113)(6, 102, 21, 117, 26, 122, 22, 118)(8, 104, 27, 123, 18, 114, 29, 125)(9, 105, 31, 127, 19, 115, 33, 129)(10, 106, 34, 130, 20, 116, 35, 131)(12, 108, 40, 136, 55, 151, 28, 124)(14, 110, 45, 141, 56, 152, 46, 142)(16, 112, 48, 144, 23, 119, 49, 145)(30, 126, 64, 160, 50, 146, 65, 161)(32, 128, 67, 163, 36, 132, 68, 164)(37, 133, 73, 169, 42, 138, 74, 170)(38, 134, 75, 171, 43, 139, 76, 172)(39, 135, 66, 162, 44, 140, 60, 156)(41, 137, 63, 159, 47, 143, 59, 155)(51, 147, 78, 174, 53, 149, 80, 176)(52, 148, 79, 175, 54, 150, 77, 173)(57, 153, 81, 177, 61, 157, 82, 178)(58, 154, 83, 179, 62, 158, 84, 180)(69, 165, 86, 182, 71, 167, 88, 184)(70, 166, 87, 183, 72, 168, 85, 181)(89, 185, 93, 189, 91, 187, 95, 191)(90, 186, 96, 192, 92, 188, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 216, 312)(201, 297, 222, 318)(202, 298, 220, 316)(203, 299, 229, 325)(205, 301, 234, 330)(207, 303, 236, 332)(208, 304, 239, 335)(209, 305, 231, 327)(211, 307, 242, 338)(212, 308, 232, 328)(213, 309, 243, 339)(214, 310, 245, 341)(215, 311, 233, 329)(217, 313, 248, 344)(218, 314, 247, 343)(219, 315, 249, 345)(221, 317, 253, 349)(223, 319, 255, 351)(224, 320, 258, 354)(225, 321, 251, 347)(226, 322, 261, 357)(227, 323, 263, 359)(228, 324, 252, 348)(230, 326, 262, 358)(235, 331, 264, 360)(237, 333, 269, 365)(238, 334, 271, 367)(240, 336, 267, 363)(241, 337, 268, 364)(244, 340, 254, 350)(246, 342, 250, 346)(256, 352, 277, 373)(257, 353, 279, 375)(259, 355, 275, 371)(260, 356, 276, 372)(265, 361, 281, 377)(266, 362, 283, 379)(270, 366, 284, 380)(272, 368, 282, 378)(273, 369, 285, 381)(274, 370, 287, 383)(278, 374, 288, 384)(280, 376, 286, 382)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 217)(8, 220)(9, 224)(10, 194)(11, 230)(12, 233)(13, 235)(14, 195)(15, 226)(16, 218)(17, 227)(18, 232)(19, 228)(20, 197)(21, 244)(22, 246)(23, 198)(24, 247)(25, 215)(26, 199)(27, 250)(28, 252)(29, 254)(30, 200)(31, 214)(32, 212)(33, 213)(34, 262)(35, 264)(36, 202)(37, 209)(38, 261)(39, 203)(40, 258)(41, 248)(42, 207)(43, 263)(44, 205)(45, 270)(46, 272)(47, 206)(48, 266)(49, 265)(50, 210)(51, 251)(52, 253)(53, 255)(54, 249)(55, 239)(56, 216)(57, 225)(58, 245)(59, 219)(60, 242)(61, 223)(62, 243)(63, 221)(64, 278)(65, 280)(66, 222)(67, 274)(68, 273)(69, 236)(70, 229)(71, 231)(72, 234)(73, 282)(74, 284)(75, 238)(76, 237)(77, 241)(78, 283)(79, 240)(80, 281)(81, 286)(82, 288)(83, 257)(84, 256)(85, 260)(86, 287)(87, 259)(88, 285)(89, 268)(90, 271)(91, 267)(92, 269)(93, 276)(94, 279)(95, 275)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2277
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, R * Y2 * R * Y2^-1, (Y2 * Y1 * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 18, 114)(9, 105, 23, 119)(12, 108, 28, 124)(13, 109, 26, 122)(14, 110, 30, 126)(15, 111, 22, 118)(17, 113, 33, 129)(19, 115, 38, 134)(20, 116, 36, 132)(21, 117, 40, 136)(24, 120, 43, 139)(25, 121, 45, 141)(27, 123, 37, 133)(29, 125, 49, 145)(31, 127, 53, 149)(32, 128, 42, 138)(34, 130, 56, 152)(35, 131, 57, 153)(39, 135, 61, 157)(41, 137, 65, 161)(44, 140, 68, 164)(46, 142, 71, 167)(47, 143, 70, 166)(48, 144, 62, 158)(50, 146, 60, 156)(51, 147, 74, 170)(52, 148, 66, 162)(54, 150, 64, 160)(55, 151, 77, 173)(58, 154, 80, 176)(59, 155, 79, 175)(63, 159, 83, 179)(67, 163, 86, 182)(69, 165, 78, 174)(72, 168, 89, 185)(73, 169, 82, 178)(75, 171, 90, 186)(76, 172, 85, 181)(81, 177, 93, 189)(84, 180, 94, 190)(87, 183, 92, 188)(88, 184, 91, 187)(95, 191, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 204, 300)(198, 294, 209, 305, 205, 301)(200, 296, 213, 309, 211, 307)(202, 298, 216, 312, 212, 308)(203, 299, 217, 313, 219, 315)(207, 303, 221, 317, 223, 319)(208, 304, 224, 320, 226, 322)(210, 306, 227, 323, 229, 325)(214, 310, 231, 327, 233, 329)(215, 311, 234, 330, 236, 332)(218, 314, 240, 336, 238, 334)(220, 316, 242, 338, 239, 335)(222, 318, 243, 339, 244, 340)(225, 321, 247, 343, 246, 342)(228, 324, 252, 348, 250, 346)(230, 326, 254, 350, 251, 347)(232, 328, 255, 351, 256, 352)(235, 331, 259, 355, 258, 354)(237, 333, 261, 357, 248, 344)(241, 337, 264, 360, 265, 361)(245, 341, 268, 364, 267, 363)(249, 345, 270, 366, 260, 356)(253, 349, 273, 369, 274, 370)(257, 353, 277, 373, 276, 372)(262, 358, 266, 362, 279, 375)(263, 359, 269, 365, 280, 376)(271, 367, 275, 371, 283, 379)(272, 368, 278, 374, 284, 380)(281, 377, 287, 383, 282, 378)(285, 381, 288, 384, 286, 382)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 206)(6, 193)(7, 211)(8, 214)(9, 213)(10, 194)(11, 218)(12, 221)(13, 195)(14, 223)(15, 198)(16, 225)(17, 197)(18, 228)(19, 231)(20, 199)(21, 233)(22, 202)(23, 235)(24, 201)(25, 238)(26, 241)(27, 240)(28, 203)(29, 205)(30, 208)(31, 209)(32, 246)(33, 245)(34, 247)(35, 250)(36, 253)(37, 252)(38, 210)(39, 212)(40, 215)(41, 216)(42, 258)(43, 257)(44, 259)(45, 262)(46, 264)(47, 217)(48, 265)(49, 220)(50, 219)(51, 226)(52, 224)(53, 222)(54, 268)(55, 267)(56, 266)(57, 271)(58, 273)(59, 227)(60, 274)(61, 230)(62, 229)(63, 236)(64, 234)(65, 232)(66, 277)(67, 276)(68, 275)(69, 279)(70, 281)(71, 237)(72, 239)(73, 242)(74, 282)(75, 243)(76, 244)(77, 248)(78, 283)(79, 285)(80, 249)(81, 251)(82, 254)(83, 286)(84, 255)(85, 256)(86, 260)(87, 287)(88, 261)(89, 263)(90, 269)(91, 288)(92, 270)(93, 272)(94, 278)(95, 280)(96, 284)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2288
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * R * Y3^-1 * Y2 * Y1 * R, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 10, 106)(5, 101, 9, 105)(6, 102, 8, 104)(11, 107, 21, 117)(12, 108, 20, 116)(13, 109, 27, 123)(14, 110, 23, 119)(15, 111, 28, 124)(16, 112, 26, 122)(17, 113, 25, 121)(18, 114, 22, 118)(19, 115, 24, 120)(29, 125, 46, 142)(30, 126, 44, 140)(31, 127, 47, 143)(32, 128, 43, 139)(33, 129, 45, 141)(34, 130, 48, 144)(35, 131, 49, 145)(36, 132, 50, 146)(37, 133, 51, 147)(38, 134, 52, 148)(39, 135, 55, 151)(40, 136, 56, 152)(41, 137, 53, 149)(42, 138, 54, 150)(57, 153, 69, 165)(58, 154, 70, 166)(59, 155, 71, 167)(60, 156, 72, 168)(61, 157, 73, 169)(62, 158, 74, 170)(63, 159, 75, 171)(64, 160, 76, 172)(65, 161, 77, 173)(66, 162, 78, 174)(67, 163, 79, 175)(68, 164, 80, 176)(81, 177, 87, 183)(82, 178, 88, 184)(83, 179, 90, 186)(84, 180, 89, 185)(85, 181, 92, 188)(86, 182, 91, 187)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 205, 301, 207, 303)(198, 294, 210, 306, 211, 307)(200, 296, 214, 310, 216, 312)(202, 298, 219, 315, 220, 316)(203, 299, 221, 317, 223, 319)(204, 300, 224, 320, 225, 321)(206, 302, 222, 318, 228, 324)(208, 304, 231, 327, 232, 328)(209, 305, 233, 329, 234, 330)(212, 308, 235, 331, 237, 333)(213, 309, 238, 334, 239, 335)(215, 311, 236, 332, 242, 338)(217, 313, 245, 341, 246, 342)(218, 314, 247, 343, 248, 344)(226, 322, 253, 349, 254, 350)(227, 323, 255, 351, 256, 352)(229, 325, 257, 353, 249, 345)(230, 326, 258, 354, 250, 346)(240, 336, 265, 361, 266, 362)(241, 337, 267, 363, 268, 364)(243, 339, 269, 365, 261, 357)(244, 340, 270, 366, 262, 358)(251, 347, 273, 369, 259, 355)(252, 348, 274, 370, 260, 356)(263, 359, 279, 375, 271, 367)(264, 360, 280, 376, 272, 368)(275, 371, 285, 381, 277, 373)(276, 372, 286, 382, 278, 374)(281, 377, 287, 383, 283, 379)(282, 378, 288, 384, 284, 380)
	L = (1, 196)(2, 200)(3, 203)(4, 206)(5, 208)(6, 193)(7, 212)(8, 215)(9, 217)(10, 194)(11, 222)(12, 195)(13, 226)(14, 198)(15, 229)(16, 228)(17, 197)(18, 227)(19, 230)(20, 236)(21, 199)(22, 240)(23, 202)(24, 243)(25, 242)(26, 201)(27, 241)(28, 244)(29, 249)(30, 204)(31, 251)(32, 250)(33, 252)(34, 210)(35, 205)(36, 209)(37, 211)(38, 207)(39, 259)(40, 253)(41, 260)(42, 255)(43, 261)(44, 213)(45, 263)(46, 262)(47, 264)(48, 219)(49, 214)(50, 218)(51, 220)(52, 216)(53, 271)(54, 265)(55, 272)(56, 267)(57, 224)(58, 221)(59, 225)(60, 223)(61, 234)(62, 275)(63, 232)(64, 276)(65, 277)(66, 278)(67, 233)(68, 231)(69, 238)(70, 235)(71, 239)(72, 237)(73, 248)(74, 281)(75, 246)(76, 282)(77, 283)(78, 284)(79, 247)(80, 245)(81, 285)(82, 286)(83, 256)(84, 254)(85, 258)(86, 257)(87, 287)(88, 288)(89, 268)(90, 266)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2287
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2^-1 * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^2 * Y2^-1 * Y3, (Y2 * Y1 * Y3)^2, Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 32, 128)(13, 109, 27, 123)(14, 110, 30, 126)(15, 111, 26, 122)(16, 112, 24, 120)(18, 114, 31, 127)(19, 115, 25, 121)(20, 116, 29, 125)(21, 117, 23, 119)(33, 129, 65, 161)(34, 130, 50, 146)(35, 131, 54, 150)(36, 132, 58, 154)(37, 133, 67, 163)(38, 134, 51, 147)(39, 135, 66, 162)(40, 136, 57, 153)(41, 137, 56, 152)(42, 138, 52, 148)(43, 139, 59, 155)(44, 140, 73, 169)(45, 141, 75, 171)(46, 142, 64, 160)(47, 143, 74, 170)(48, 144, 62, 158)(49, 145, 77, 173)(53, 149, 79, 175)(55, 151, 78, 174)(60, 156, 85, 181)(61, 157, 87, 183)(63, 159, 86, 182)(68, 164, 80, 176)(69, 165, 84, 180)(70, 166, 82, 178)(71, 167, 88, 184)(72, 168, 81, 177)(76, 172, 83, 179)(89, 185, 93, 189)(90, 186, 95, 191)(91, 187, 94, 190)(92, 188, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 227, 323, 229, 325)(205, 301, 230, 326, 231, 327)(207, 303, 228, 324, 233, 329)(209, 305, 235, 331, 236, 332)(210, 306, 237, 333, 238, 334)(211, 307, 239, 335, 240, 336)(214, 310, 241, 337, 242, 338)(215, 311, 243, 339, 245, 341)(216, 312, 246, 342, 247, 343)(218, 314, 244, 340, 249, 345)(220, 316, 251, 347, 252, 348)(221, 317, 253, 349, 254, 350)(222, 318, 255, 351, 256, 352)(232, 328, 262, 358, 263, 359)(234, 330, 264, 360, 260, 356)(248, 344, 274, 370, 275, 371)(250, 346, 276, 372, 272, 368)(257, 353, 281, 377, 265, 361)(258, 354, 266, 362, 282, 378)(259, 355, 267, 363, 283, 379)(261, 357, 284, 380, 268, 364)(269, 365, 285, 381, 277, 373)(270, 366, 278, 374, 286, 382)(271, 367, 279, 375, 287, 383)(273, 369, 288, 384, 280, 376)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 219)(12, 228)(13, 195)(14, 232)(15, 198)(16, 234)(17, 217)(18, 233)(19, 197)(20, 220)(21, 214)(22, 208)(23, 244)(24, 199)(25, 248)(26, 202)(27, 250)(28, 206)(29, 249)(30, 201)(31, 209)(32, 203)(33, 258)(34, 243)(35, 260)(36, 205)(37, 261)(38, 242)(39, 257)(40, 212)(41, 211)(42, 213)(43, 254)(44, 266)(45, 268)(46, 262)(47, 265)(48, 251)(49, 270)(50, 227)(51, 272)(52, 216)(53, 273)(54, 226)(55, 269)(56, 223)(57, 222)(58, 224)(59, 238)(60, 278)(61, 280)(62, 274)(63, 277)(64, 235)(65, 229)(66, 276)(67, 225)(68, 230)(69, 231)(70, 240)(71, 279)(72, 271)(73, 237)(74, 275)(75, 236)(76, 239)(77, 245)(78, 264)(79, 241)(80, 246)(81, 247)(82, 256)(83, 267)(84, 259)(85, 253)(86, 263)(87, 252)(88, 255)(89, 286)(90, 288)(91, 285)(92, 287)(93, 282)(94, 284)(95, 281)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2289
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * R)^2, (Y3 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2, Y3 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1, (Y2 * R * Y2^-1 * Y1)^2, (Y2^-1 * R * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 32, 128)(13, 109, 34, 130)(14, 110, 41, 137)(15, 111, 26, 122)(16, 112, 46, 142)(18, 114, 31, 127)(19, 115, 50, 146)(20, 116, 29, 125)(21, 117, 23, 119)(24, 120, 52, 148)(25, 121, 66, 162)(27, 123, 55, 151)(30, 126, 73, 169)(33, 129, 43, 139)(35, 131, 60, 156)(36, 132, 76, 172)(37, 133, 78, 174)(38, 134, 65, 161)(39, 135, 79, 175)(40, 136, 63, 159)(42, 138, 70, 166)(44, 140, 71, 167)(45, 141, 67, 163)(47, 143, 69, 165)(48, 144, 88, 184)(49, 145, 72, 168)(51, 147, 86, 182)(53, 149, 77, 173)(54, 150, 84, 180)(56, 152, 61, 157)(57, 153, 74, 170)(58, 154, 62, 158)(59, 155, 68, 164)(64, 160, 91, 187)(75, 171, 95, 191)(80, 176, 92, 188)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 87, 183)(85, 181, 96, 192)(89, 185, 90, 186)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 227, 323)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 236, 332, 237, 333)(209, 305, 241, 337, 243, 339)(210, 306, 244, 340, 246, 342)(211, 307, 247, 343, 248, 344)(214, 310, 251, 347, 252, 348)(215, 311, 253, 349, 255, 351)(216, 312, 256, 352, 257, 353)(218, 314, 261, 357, 262, 358)(220, 316, 264, 360, 240, 336)(221, 317, 226, 322, 267, 363)(222, 318, 238, 334, 268, 364)(229, 325, 249, 345, 273, 369)(233, 329, 275, 371, 276, 372)(234, 330, 272, 368, 250, 346)(235, 331, 277, 373, 278, 374)(239, 335, 245, 341, 274, 370)(242, 338, 282, 378, 271, 367)(254, 350, 269, 365, 285, 381)(258, 354, 281, 377, 287, 383)(259, 355, 284, 380, 270, 366)(260, 356, 288, 384, 280, 376)(263, 359, 266, 362, 286, 382)(265, 361, 279, 375, 283, 379)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 226)(12, 229)(13, 195)(14, 234)(15, 198)(16, 239)(17, 242)(18, 245)(19, 197)(20, 220)(21, 214)(22, 244)(23, 254)(24, 199)(25, 259)(26, 202)(27, 263)(28, 265)(29, 266)(30, 201)(31, 209)(32, 203)(33, 255)(34, 270)(35, 271)(36, 272)(37, 205)(38, 237)(39, 252)(40, 235)(41, 225)(42, 232)(43, 206)(44, 247)(45, 258)(46, 280)(47, 281)(48, 208)(49, 253)(50, 269)(51, 219)(52, 250)(53, 211)(54, 273)(55, 278)(56, 264)(57, 212)(58, 213)(59, 230)(60, 283)(61, 284)(62, 216)(63, 262)(64, 227)(65, 260)(66, 251)(67, 257)(68, 217)(69, 238)(70, 233)(71, 275)(72, 228)(73, 249)(74, 222)(75, 285)(76, 241)(77, 223)(78, 224)(79, 286)(80, 248)(81, 287)(82, 231)(83, 243)(84, 288)(85, 246)(86, 279)(87, 236)(88, 282)(89, 240)(90, 261)(91, 274)(92, 268)(93, 276)(94, 256)(95, 277)(96, 267)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2291
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^4, (Y2 * Y3 * Y2 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 35, 131)(13, 109, 27, 123)(14, 110, 30, 126)(15, 111, 26, 122)(16, 112, 24, 120)(18, 114, 47, 143)(19, 115, 25, 121)(20, 116, 53, 149)(21, 117, 56, 152)(23, 119, 60, 156)(29, 125, 40, 136)(31, 127, 38, 134)(32, 128, 76, 172)(33, 129, 79, 175)(34, 130, 59, 155)(36, 132, 74, 170)(37, 133, 67, 163)(39, 135, 85, 181)(41, 137, 71, 167)(42, 138, 78, 174)(43, 139, 75, 171)(44, 140, 62, 158)(45, 141, 68, 164)(46, 142, 57, 153)(48, 144, 73, 169)(49, 145, 64, 160)(50, 146, 81, 177)(51, 147, 70, 166)(52, 148, 61, 157)(54, 150, 89, 185)(55, 151, 66, 162)(58, 154, 65, 161)(63, 159, 94, 190)(69, 165, 77, 173)(72, 168, 91, 187)(80, 176, 88, 184)(82, 178, 90, 186)(83, 179, 92, 188)(84, 180, 93, 189)(86, 182, 95, 191)(87, 183, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 234, 330, 235, 331)(209, 305, 237, 333, 238, 334)(210, 306, 240, 336, 242, 338)(211, 307, 243, 339, 244, 340)(214, 310, 246, 342, 251, 347)(215, 311, 253, 349, 245, 341)(216, 312, 255, 351, 239, 335)(218, 314, 257, 353, 258, 354)(220, 316, 260, 356, 261, 357)(221, 317, 262, 358, 264, 360)(222, 318, 265, 361, 266, 362)(227, 323, 273, 369, 274, 370)(229, 325, 247, 343, 276, 372)(233, 329, 275, 371, 250, 346)(236, 332, 241, 337, 279, 375)(248, 344, 277, 373, 272, 368)(249, 345, 271, 367, 278, 374)(252, 348, 283, 379, 280, 376)(254, 350, 267, 363, 285, 381)(256, 352, 284, 380, 270, 366)(259, 355, 263, 359, 288, 384)(268, 364, 286, 382, 282, 378)(269, 365, 281, 377, 287, 383)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 219)(12, 229)(13, 195)(14, 233)(15, 198)(16, 236)(17, 217)(18, 241)(19, 197)(20, 246)(21, 249)(22, 208)(23, 254)(24, 199)(25, 256)(26, 202)(27, 259)(28, 206)(29, 263)(30, 201)(31, 225)(32, 269)(33, 272)(34, 253)(35, 203)(36, 275)(37, 205)(38, 235)(39, 278)(40, 220)(41, 232)(42, 243)(43, 280)(44, 252)(45, 264)(46, 248)(47, 209)(48, 250)(49, 211)(50, 276)(51, 261)(52, 251)(53, 258)(54, 282)(55, 212)(56, 257)(57, 240)(58, 213)(59, 228)(60, 214)(61, 284)(62, 216)(63, 287)(64, 239)(65, 265)(66, 274)(67, 227)(68, 242)(69, 268)(70, 270)(71, 222)(72, 285)(73, 238)(74, 226)(75, 223)(76, 234)(77, 262)(78, 224)(79, 230)(80, 267)(81, 237)(82, 281)(83, 244)(84, 283)(85, 288)(86, 286)(87, 231)(88, 271)(89, 245)(90, 247)(91, 260)(92, 266)(93, 273)(94, 279)(95, 277)(96, 255)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2293
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3 * Y1)^2, (Y1 * Y2^-1 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y2 * Y3, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 35, 131)(13, 109, 27, 123)(14, 110, 30, 126)(15, 111, 26, 122)(16, 112, 24, 120)(18, 114, 47, 143)(19, 115, 25, 121)(20, 116, 53, 149)(21, 117, 56, 152)(23, 119, 51, 147)(29, 125, 71, 167)(31, 127, 75, 171)(32, 128, 48, 144)(33, 129, 54, 150)(34, 130, 60, 156)(36, 132, 79, 175)(37, 133, 69, 165)(38, 134, 65, 161)(39, 135, 73, 169)(40, 136, 63, 159)(41, 137, 72, 168)(42, 138, 78, 174)(43, 139, 77, 173)(44, 140, 62, 158)(45, 141, 70, 166)(46, 142, 84, 180)(49, 145, 66, 162)(50, 146, 64, 160)(52, 148, 87, 183)(55, 151, 68, 164)(57, 153, 89, 185)(58, 154, 67, 163)(59, 155, 76, 172)(61, 157, 91, 187)(74, 170, 95, 191)(80, 176, 92, 188)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 85, 181)(86, 182, 90, 186)(88, 184, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 234, 330, 235, 331)(209, 305, 237, 333, 238, 334)(210, 306, 240, 336, 242, 338)(211, 307, 243, 339, 244, 340)(214, 310, 251, 347, 252, 348)(215, 311, 253, 349, 255, 351)(216, 312, 256, 352, 257, 353)(218, 314, 259, 355, 260, 356)(220, 316, 262, 358, 249, 345)(221, 317, 248, 344, 265, 361)(222, 318, 227, 323, 266, 362)(229, 325, 233, 329, 273, 369)(236, 332, 247, 343, 274, 370)(239, 335, 278, 374, 271, 367)(241, 337, 272, 368, 250, 346)(245, 341, 277, 373, 279, 375)(246, 342, 280, 376, 276, 372)(254, 350, 258, 354, 285, 381)(261, 357, 269, 365, 286, 382)(263, 359, 275, 371, 283, 379)(264, 360, 284, 380, 270, 366)(267, 363, 282, 378, 287, 383)(268, 364, 288, 384, 281, 377)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 219)(12, 229)(13, 195)(14, 233)(15, 198)(16, 236)(17, 217)(18, 241)(19, 197)(20, 246)(21, 249)(22, 208)(23, 254)(24, 199)(25, 258)(26, 202)(27, 261)(28, 206)(29, 264)(30, 201)(31, 268)(32, 238)(33, 245)(34, 253)(35, 203)(36, 272)(37, 205)(38, 247)(39, 262)(40, 251)(41, 263)(42, 275)(43, 232)(44, 243)(45, 265)(46, 277)(47, 209)(48, 234)(49, 211)(50, 274)(51, 214)(52, 280)(53, 260)(54, 230)(55, 212)(56, 259)(57, 282)(58, 213)(59, 267)(60, 228)(61, 284)(62, 216)(63, 269)(64, 237)(65, 225)(66, 239)(67, 278)(68, 257)(69, 227)(70, 242)(71, 220)(72, 222)(73, 286)(74, 288)(75, 235)(76, 255)(77, 223)(78, 224)(79, 226)(80, 283)(81, 244)(82, 231)(83, 276)(84, 240)(85, 270)(86, 281)(87, 285)(88, 287)(89, 248)(90, 250)(91, 252)(92, 271)(93, 266)(94, 256)(95, 273)(96, 279)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2292
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y1 * Y2 * Y3)^2, (Y3 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y2, Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^4, (Y2 * R * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 32, 128)(13, 109, 34, 130)(14, 110, 41, 137)(15, 111, 26, 122)(16, 112, 46, 142)(18, 114, 31, 127)(19, 115, 50, 146)(20, 116, 29, 125)(21, 117, 23, 119)(24, 120, 59, 155)(25, 121, 40, 136)(27, 123, 67, 163)(30, 126, 38, 134)(33, 129, 79, 175)(35, 131, 60, 156)(36, 132, 83, 179)(37, 133, 78, 174)(39, 135, 74, 170)(42, 138, 66, 162)(43, 139, 88, 184)(44, 140, 68, 164)(45, 141, 64, 160)(47, 143, 65, 161)(48, 144, 51, 147)(49, 145, 70, 166)(52, 148, 75, 171)(53, 149, 77, 173)(54, 150, 63, 159)(55, 151, 72, 168)(56, 152, 81, 177)(57, 153, 73, 169)(58, 154, 62, 158)(61, 157, 92, 188)(69, 165, 71, 167)(76, 172, 91, 187)(80, 176, 90, 186)(82, 178, 89, 185)(84, 180, 93, 189)(85, 181, 94, 190)(86, 182, 95, 191)(87, 183, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 227, 323)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 236, 332, 237, 333)(209, 305, 241, 337, 243, 339)(210, 306, 244, 340, 246, 342)(211, 307, 247, 343, 248, 344)(214, 310, 235, 331, 252, 348)(215, 311, 253, 349, 242, 338)(216, 312, 255, 351, 233, 329)(218, 314, 257, 353, 258, 354)(220, 316, 262, 358, 263, 359)(221, 317, 264, 360, 266, 362)(222, 318, 267, 363, 268, 364)(226, 322, 273, 369, 274, 370)(229, 325, 234, 330, 278, 374)(238, 334, 275, 371, 272, 368)(239, 335, 249, 345, 279, 375)(240, 336, 271, 367, 277, 373)(245, 341, 276, 372, 250, 346)(251, 347, 283, 379, 282, 378)(254, 350, 256, 352, 287, 383)(259, 355, 284, 380, 281, 377)(260, 356, 269, 365, 288, 384)(261, 357, 280, 376, 286, 382)(265, 361, 285, 381, 270, 366)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 226)(12, 229)(13, 195)(14, 234)(15, 198)(16, 239)(17, 242)(18, 245)(19, 197)(20, 220)(21, 214)(22, 251)(23, 254)(24, 199)(25, 256)(26, 202)(27, 260)(28, 230)(29, 265)(30, 201)(31, 209)(32, 203)(33, 217)(34, 270)(35, 266)(36, 276)(37, 205)(38, 249)(39, 252)(40, 271)(41, 280)(42, 281)(43, 206)(44, 259)(45, 232)(46, 243)(47, 247)(48, 208)(49, 273)(50, 269)(51, 264)(52, 236)(53, 211)(54, 279)(55, 240)(56, 262)(57, 212)(58, 213)(59, 250)(60, 246)(61, 285)(62, 216)(63, 227)(64, 272)(65, 238)(66, 233)(67, 263)(68, 267)(69, 219)(70, 283)(71, 244)(72, 257)(73, 222)(74, 288)(75, 261)(76, 241)(77, 223)(78, 224)(79, 282)(80, 225)(81, 287)(82, 258)(83, 286)(84, 284)(85, 228)(86, 248)(87, 231)(88, 274)(89, 235)(90, 237)(91, 278)(92, 277)(93, 275)(94, 253)(95, 268)(96, 255)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2290
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 43, 139, 17, 113)(6, 102, 21, 117, 49, 145, 22, 118)(8, 104, 26, 122, 59, 155, 28, 124)(9, 105, 30, 126, 63, 159, 32, 128)(10, 106, 33, 129, 64, 160, 34, 130)(12, 108, 29, 125, 51, 147, 40, 136)(14, 110, 27, 123, 53, 149, 42, 138)(16, 112, 31, 127, 55, 151, 45, 141)(18, 114, 46, 142, 70, 166, 37, 133)(19, 115, 47, 143, 75, 171, 44, 140)(20, 116, 48, 144, 68, 164, 36, 132)(23, 119, 50, 146, 77, 173, 52, 148)(24, 120, 54, 150, 81, 177, 56, 152)(25, 121, 57, 153, 82, 178, 58, 154)(38, 134, 71, 167, 80, 176, 72, 168)(39, 135, 69, 165, 86, 182, 60, 156)(41, 137, 73, 169, 78, 174, 61, 157)(62, 158, 87, 183, 76, 172, 79, 175)(65, 161, 89, 185, 93, 189, 88, 184)(66, 162, 90, 186, 94, 190, 84, 180)(67, 163, 91, 187, 95, 191, 85, 181)(74, 170, 92, 188, 96, 192, 83, 179)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 222, 318)(207, 303, 229, 325)(208, 304, 231, 327)(209, 305, 233, 329)(211, 307, 232, 328)(212, 308, 234, 330)(213, 309, 230, 326)(214, 310, 218, 314)(216, 312, 245, 341)(217, 313, 243, 339)(220, 316, 246, 342)(223, 319, 253, 349)(224, 320, 254, 350)(225, 321, 252, 348)(226, 322, 242, 338)(227, 323, 257, 353)(235, 331, 259, 355)(236, 332, 261, 357)(237, 333, 263, 359)(238, 334, 250, 346)(239, 335, 244, 340)(240, 336, 268, 364)(241, 337, 258, 354)(247, 343, 271, 367)(248, 344, 272, 368)(249, 345, 270, 366)(251, 347, 275, 371)(255, 351, 277, 373)(256, 352, 276, 372)(260, 356, 282, 378)(262, 358, 284, 380)(264, 360, 281, 377)(265, 361, 280, 376)(266, 362, 278, 374)(267, 363, 283, 379)(269, 365, 285, 381)(273, 369, 287, 383)(274, 370, 286, 382)(279, 375, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 231)(13, 233)(14, 195)(15, 228)(16, 198)(17, 222)(18, 234)(19, 237)(20, 197)(21, 236)(22, 225)(23, 243)(24, 247)(25, 199)(26, 205)(27, 253)(28, 254)(29, 200)(30, 214)(31, 202)(32, 246)(33, 209)(34, 249)(35, 258)(36, 213)(37, 261)(38, 203)(39, 206)(40, 210)(41, 252)(42, 263)(43, 266)(44, 207)(45, 212)(46, 244)(47, 250)(48, 248)(49, 257)(50, 220)(51, 271)(52, 272)(53, 215)(54, 226)(55, 217)(56, 239)(57, 224)(58, 240)(59, 276)(60, 218)(61, 221)(62, 270)(63, 280)(64, 275)(65, 235)(66, 278)(67, 227)(68, 284)(69, 230)(70, 282)(71, 232)(72, 283)(73, 277)(74, 241)(75, 281)(76, 238)(77, 286)(78, 242)(79, 245)(80, 268)(81, 288)(82, 285)(83, 255)(84, 265)(85, 251)(86, 259)(87, 287)(88, 256)(89, 260)(90, 264)(91, 262)(92, 267)(93, 273)(94, 279)(95, 269)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2281
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^-2, Y3^-1 * Y1^-2 * Y3^-1, Y1 * Y3^-2 * Y1, (R * Y1)^2, (Y3 * Y2)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 18, 114, 13, 109)(4, 100, 15, 111, 6, 102, 16, 112)(8, 104, 19, 115, 17, 113, 21, 117)(9, 105, 23, 119, 10, 106, 24, 120)(12, 108, 28, 124, 14, 110, 29, 125)(20, 116, 36, 132, 22, 118, 37, 133)(25, 121, 41, 137, 30, 126, 43, 139)(26, 122, 45, 141, 27, 123, 46, 142)(31, 127, 49, 145, 32, 128, 50, 146)(33, 129, 51, 147, 38, 134, 53, 149)(34, 130, 55, 151, 35, 131, 56, 152)(39, 135, 59, 155, 40, 136, 60, 156)(42, 138, 64, 160, 44, 140, 65, 161)(47, 143, 69, 165, 48, 144, 70, 166)(52, 148, 78, 174, 54, 150, 79, 175)(57, 153, 83, 179, 58, 154, 84, 180)(61, 157, 80, 176, 66, 162, 75, 171)(62, 158, 85, 181, 63, 159, 88, 184)(67, 163, 81, 177, 68, 164, 82, 178)(71, 167, 76, 172, 74, 170, 77, 173)(72, 168, 87, 183, 73, 169, 86, 182)(89, 185, 96, 192, 90, 186, 95, 191)(91, 187, 94, 190, 92, 188, 93, 189)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 210, 306)(201, 297, 214, 310)(202, 298, 212, 308)(203, 299, 217, 313)(205, 301, 222, 318)(207, 303, 223, 319)(208, 304, 224, 320)(211, 307, 225, 321)(213, 309, 230, 326)(215, 311, 231, 327)(216, 312, 232, 328)(218, 314, 236, 332)(219, 315, 234, 330)(220, 316, 239, 335)(221, 317, 240, 336)(226, 322, 246, 342)(227, 323, 244, 340)(228, 324, 249, 345)(229, 325, 250, 346)(233, 329, 253, 349)(235, 331, 258, 354)(237, 333, 259, 355)(238, 334, 260, 356)(241, 337, 263, 359)(242, 338, 266, 362)(243, 339, 267, 363)(245, 341, 272, 368)(247, 343, 273, 369)(248, 344, 274, 370)(251, 347, 277, 373)(252, 348, 280, 376)(254, 350, 282, 378)(255, 351, 281, 377)(256, 352, 279, 375)(257, 353, 278, 374)(261, 357, 283, 379)(262, 358, 284, 380)(264, 360, 270, 366)(265, 361, 271, 367)(268, 364, 286, 382)(269, 365, 285, 381)(275, 371, 287, 383)(276, 372, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 199)(5, 202)(6, 193)(7, 198)(8, 212)(9, 197)(10, 194)(11, 218)(12, 210)(13, 219)(14, 195)(15, 216)(16, 215)(17, 214)(18, 206)(19, 226)(20, 209)(21, 227)(22, 200)(23, 207)(24, 208)(25, 234)(26, 205)(27, 203)(28, 238)(29, 237)(30, 236)(31, 231)(32, 232)(33, 244)(34, 213)(35, 211)(36, 248)(37, 247)(38, 246)(39, 224)(40, 223)(41, 254)(42, 222)(43, 255)(44, 217)(45, 220)(46, 221)(47, 259)(48, 260)(49, 264)(50, 265)(51, 268)(52, 230)(53, 269)(54, 225)(55, 228)(56, 229)(57, 273)(58, 274)(59, 278)(60, 279)(61, 281)(62, 235)(63, 233)(64, 280)(65, 277)(66, 282)(67, 240)(68, 239)(69, 276)(70, 275)(71, 271)(72, 242)(73, 241)(74, 270)(75, 285)(76, 245)(77, 243)(78, 263)(79, 266)(80, 286)(81, 250)(82, 249)(83, 261)(84, 262)(85, 256)(86, 252)(87, 251)(88, 257)(89, 258)(90, 253)(91, 287)(92, 288)(93, 272)(94, 267)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2280
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1, (Y3^-1 * Y1^-2 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 43, 139, 17, 113)(6, 102, 21, 117, 49, 145, 22, 118)(8, 104, 26, 122, 59, 155, 28, 124)(9, 105, 30, 126, 63, 159, 32, 128)(10, 106, 33, 129, 64, 160, 34, 130)(12, 108, 37, 133, 51, 147, 27, 123)(14, 110, 42, 138, 53, 149, 29, 125)(16, 112, 31, 127, 55, 151, 45, 141)(18, 114, 40, 136, 72, 168, 46, 142)(19, 115, 47, 143, 71, 167, 39, 135)(20, 116, 48, 144, 75, 171, 44, 140)(23, 119, 50, 146, 77, 173, 52, 148)(24, 120, 54, 150, 81, 177, 56, 152)(25, 121, 57, 153, 82, 178, 58, 154)(36, 132, 61, 157, 80, 176, 68, 164)(38, 134, 62, 158, 87, 183, 70, 166)(41, 137, 73, 169, 78, 174, 69, 165)(60, 156, 79, 175, 76, 172, 86, 182)(65, 161, 89, 185, 93, 189, 88, 184)(66, 162, 85, 181, 94, 190, 90, 186)(67, 163, 84, 180, 95, 191, 91, 187)(74, 170, 92, 188, 96, 192, 83, 179)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 225, 321)(205, 301, 231, 327)(207, 303, 233, 329)(208, 304, 230, 326)(209, 305, 220, 316)(211, 307, 234, 330)(212, 308, 229, 325)(213, 309, 232, 328)(214, 310, 228, 324)(216, 312, 245, 341)(217, 313, 243, 339)(218, 314, 249, 345)(222, 318, 254, 350)(223, 319, 253, 349)(224, 320, 244, 340)(226, 322, 252, 348)(227, 323, 257, 353)(235, 331, 259, 355)(236, 332, 262, 358)(237, 333, 261, 357)(238, 334, 248, 344)(239, 335, 268, 364)(240, 336, 242, 338)(241, 337, 258, 354)(246, 342, 272, 368)(247, 343, 271, 367)(250, 346, 270, 366)(251, 347, 275, 371)(255, 351, 277, 373)(256, 352, 276, 372)(260, 356, 280, 376)(263, 359, 282, 378)(264, 360, 284, 380)(265, 361, 281, 377)(266, 362, 279, 375)(267, 363, 283, 379)(269, 365, 285, 381)(273, 369, 287, 383)(274, 370, 286, 382)(278, 374, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 228)(12, 230)(13, 232)(14, 195)(15, 236)(16, 198)(17, 222)(18, 229)(19, 237)(20, 197)(21, 231)(22, 225)(23, 243)(24, 247)(25, 199)(26, 252)(27, 253)(28, 203)(29, 200)(30, 214)(31, 202)(32, 246)(33, 209)(34, 249)(35, 258)(36, 254)(37, 261)(38, 206)(39, 207)(40, 262)(41, 205)(42, 210)(43, 266)(44, 213)(45, 212)(46, 242)(47, 250)(48, 248)(49, 257)(50, 270)(51, 271)(52, 218)(53, 215)(54, 226)(55, 217)(56, 239)(57, 224)(58, 240)(59, 276)(60, 272)(61, 221)(62, 220)(63, 280)(64, 275)(65, 235)(66, 279)(67, 227)(68, 277)(69, 234)(70, 233)(71, 281)(72, 283)(73, 282)(74, 241)(75, 284)(76, 238)(77, 286)(78, 268)(79, 245)(80, 244)(81, 288)(82, 285)(83, 255)(84, 260)(85, 251)(86, 287)(87, 259)(88, 256)(89, 267)(90, 264)(91, 265)(92, 263)(93, 273)(94, 278)(95, 269)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2282
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2 * Y1^2)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^-1 * R * Y1^-1 * Y2 * R * Y1 * Y2 * Y1, Y1^-1 * Y2 * Y3^2 * Y1 * Y2 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y1 * R * Y3 * Y1^-2 * R * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 23, 119, 13, 109)(4, 100, 15, 111, 24, 120, 17, 113)(6, 102, 21, 117, 25, 121, 22, 118)(8, 104, 26, 122, 18, 114, 28, 124)(9, 105, 30, 126, 19, 115, 32, 128)(10, 106, 33, 129, 20, 116, 34, 130)(12, 108, 38, 134, 53, 149, 27, 123)(14, 110, 43, 139, 54, 150, 44, 140)(16, 112, 45, 141, 55, 151, 46, 142)(29, 125, 63, 159, 47, 143, 64, 160)(31, 127, 65, 161, 48, 144, 66, 162)(35, 131, 71, 167, 40, 136, 72, 168)(36, 132, 73, 169, 41, 137, 74, 170)(37, 133, 75, 171, 42, 138, 59, 155)(39, 135, 62, 158, 80, 176, 58, 154)(49, 145, 79, 175, 51, 147, 77, 173)(50, 146, 76, 172, 52, 148, 78, 174)(56, 152, 81, 177, 60, 156, 82, 178)(57, 153, 83, 179, 61, 157, 84, 180)(67, 163, 88, 184, 69, 165, 86, 182)(68, 164, 85, 181, 70, 166, 87, 183)(89, 185, 95, 191, 91, 187, 93, 189)(90, 186, 94, 190, 92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 227, 323)(205, 301, 232, 328)(207, 303, 234, 330)(208, 304, 231, 327)(209, 305, 229, 325)(211, 307, 239, 335)(212, 308, 230, 326)(213, 309, 241, 337)(214, 310, 243, 339)(216, 312, 246, 342)(217, 313, 245, 341)(218, 314, 248, 344)(220, 316, 252, 348)(222, 318, 254, 350)(223, 319, 251, 347)(224, 320, 250, 346)(225, 321, 259, 355)(226, 322, 261, 357)(228, 324, 262, 358)(233, 329, 260, 356)(235, 331, 268, 364)(236, 332, 270, 366)(237, 333, 265, 361)(238, 334, 266, 362)(240, 336, 267, 363)(242, 338, 249, 345)(244, 340, 253, 349)(247, 343, 272, 368)(255, 351, 277, 373)(256, 352, 279, 375)(257, 353, 275, 371)(258, 354, 276, 372)(263, 359, 281, 377)(264, 360, 283, 379)(269, 365, 282, 378)(271, 367, 284, 380)(273, 369, 285, 381)(274, 370, 287, 383)(278, 374, 286, 382)(280, 376, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 228)(12, 231)(13, 233)(14, 195)(15, 225)(16, 198)(17, 226)(18, 230)(19, 240)(20, 197)(21, 242)(22, 244)(23, 245)(24, 247)(25, 199)(26, 249)(27, 251)(28, 253)(29, 200)(30, 214)(31, 202)(32, 213)(33, 260)(34, 262)(35, 209)(36, 261)(37, 203)(38, 267)(39, 206)(40, 207)(41, 259)(42, 205)(43, 269)(44, 271)(45, 264)(46, 263)(47, 210)(48, 212)(49, 250)(50, 248)(51, 254)(52, 252)(53, 272)(54, 215)(55, 217)(56, 224)(57, 241)(58, 218)(59, 221)(60, 222)(61, 243)(62, 220)(63, 278)(64, 280)(65, 274)(66, 273)(67, 234)(68, 232)(69, 229)(70, 227)(71, 282)(72, 284)(73, 236)(74, 235)(75, 239)(76, 238)(77, 281)(78, 237)(79, 283)(80, 246)(81, 286)(82, 288)(83, 256)(84, 255)(85, 258)(86, 285)(87, 257)(88, 287)(89, 266)(90, 268)(91, 265)(92, 270)(93, 276)(94, 277)(95, 275)(96, 279)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2286
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y1^4, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y2, (Y3^-1 * Y1^-1)^3, Y3^-2 * Y1^2 * Y3^-2 * Y1^-2, Y1^-1 * Y2 * Y3^2 * Y1 * Y2 * Y1^-1 * Y3^-1, Y1^-1 * Y2 * R * Y3^-1 * Y1 * Y2 * R * Y3^-1, (Y3 * Y1^-2 * Y2)^2, Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 43, 139, 17, 113)(6, 102, 21, 117, 53, 149, 22, 118)(8, 104, 26, 122, 64, 160, 28, 124)(9, 105, 30, 126, 70, 166, 32, 128)(10, 106, 33, 129, 73, 169, 34, 130)(12, 108, 37, 133, 56, 152, 27, 123)(14, 110, 41, 137, 58, 154, 42, 138)(16, 112, 45, 141, 60, 156, 46, 142)(18, 114, 36, 132, 76, 172, 48, 144)(19, 115, 50, 146, 82, 178, 47, 143)(20, 116, 52, 148, 80, 176, 44, 140)(23, 119, 55, 151, 84, 180, 57, 153)(24, 120, 59, 155, 86, 182, 61, 157)(25, 121, 62, 158, 87, 183, 63, 159)(29, 125, 68, 164, 49, 145, 69, 165)(31, 127, 71, 167, 51, 147, 72, 168)(38, 134, 67, 163, 91, 187, 74, 170)(39, 135, 78, 174, 88, 184, 65, 161)(40, 136, 79, 175, 54, 150, 77, 173)(66, 162, 90, 186, 83, 179, 85, 181)(75, 171, 93, 189, 95, 191, 89, 185)(81, 177, 92, 188, 96, 192, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 224, 320)(205, 301, 226, 322)(207, 303, 232, 328)(208, 304, 230, 326)(209, 305, 228, 324)(211, 307, 241, 337)(212, 308, 229, 325)(213, 309, 246, 342)(214, 310, 240, 336)(216, 312, 250, 346)(217, 313, 248, 344)(218, 314, 253, 349)(220, 316, 255, 351)(222, 318, 259, 355)(223, 319, 257, 353)(225, 321, 266, 362)(227, 323, 264, 360)(231, 327, 251, 347)(233, 329, 272, 368)(234, 330, 265, 361)(235, 331, 267, 363)(236, 332, 249, 345)(237, 333, 256, 352)(238, 334, 268, 364)(239, 335, 247, 343)(242, 338, 258, 354)(243, 339, 269, 365)(244, 340, 275, 371)(245, 341, 260, 356)(252, 348, 277, 373)(254, 350, 280, 376)(261, 357, 279, 375)(262, 358, 281, 377)(263, 359, 276, 372)(270, 366, 284, 380)(271, 367, 286, 382)(273, 369, 283, 379)(274, 370, 285, 381)(278, 374, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 218)(12, 230)(13, 231)(14, 195)(15, 236)(16, 198)(17, 239)(18, 229)(19, 243)(20, 197)(21, 244)(22, 242)(23, 248)(24, 252)(25, 199)(26, 247)(27, 257)(28, 258)(29, 200)(30, 214)(31, 202)(32, 209)(33, 213)(34, 207)(35, 260)(36, 203)(37, 269)(38, 206)(39, 249)(40, 205)(41, 271)(42, 270)(43, 273)(44, 251)(45, 262)(46, 274)(47, 253)(48, 259)(49, 210)(50, 255)(51, 212)(52, 254)(53, 264)(54, 266)(55, 228)(56, 277)(57, 232)(58, 215)(59, 226)(60, 217)(61, 224)(62, 225)(63, 222)(64, 234)(65, 221)(66, 240)(67, 220)(68, 283)(69, 282)(70, 284)(71, 278)(72, 235)(73, 237)(74, 280)(75, 227)(76, 233)(77, 241)(78, 281)(79, 285)(80, 238)(81, 245)(82, 286)(83, 246)(84, 261)(85, 250)(86, 288)(87, 263)(88, 275)(89, 256)(90, 287)(91, 267)(92, 265)(93, 268)(94, 272)(95, 276)(96, 279)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2283
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1)^3, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * R * Y3^-1 * Y1 * Y2 * R * Y1, Y3^-2 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 23, 119, 13, 109)(4, 100, 15, 111, 24, 120, 17, 113)(6, 102, 21, 117, 25, 121, 22, 118)(8, 104, 26, 122, 18, 114, 28, 124)(9, 105, 30, 126, 19, 115, 32, 128)(10, 106, 33, 129, 20, 116, 34, 130)(12, 108, 38, 134, 53, 149, 40, 136)(14, 110, 44, 140, 54, 150, 29, 125)(16, 112, 47, 143, 55, 151, 48, 144)(27, 123, 59, 155, 51, 147, 61, 157)(31, 127, 67, 163, 52, 148, 68, 164)(35, 131, 71, 167, 41, 137, 72, 168)(36, 132, 60, 156, 42, 138, 73, 169)(37, 133, 74, 170, 43, 139, 75, 171)(39, 135, 57, 153, 80, 176, 63, 159)(45, 141, 77, 173, 49, 145, 79, 175)(46, 142, 78, 174, 50, 146, 76, 172)(56, 152, 81, 177, 62, 158, 82, 178)(58, 154, 83, 179, 64, 160, 84, 180)(65, 161, 86, 182, 69, 165, 88, 184)(66, 162, 87, 183, 70, 166, 85, 181)(89, 185, 95, 191, 91, 187, 93, 189)(90, 186, 94, 190, 92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 227, 323)(205, 301, 233, 329)(207, 303, 237, 333)(208, 304, 231, 327)(209, 305, 241, 337)(211, 307, 236, 332)(212, 308, 243, 339)(213, 309, 234, 330)(214, 310, 228, 324)(216, 312, 246, 342)(217, 313, 245, 341)(218, 314, 248, 344)(220, 316, 254, 350)(222, 318, 257, 353)(223, 319, 252, 348)(224, 320, 261, 357)(225, 321, 255, 351)(226, 322, 249, 345)(229, 325, 258, 354)(230, 326, 268, 364)(232, 328, 270, 366)(235, 331, 262, 358)(238, 334, 256, 352)(239, 335, 267, 363)(240, 336, 266, 362)(242, 338, 250, 346)(244, 340, 265, 361)(247, 343, 272, 368)(251, 347, 277, 373)(253, 349, 279, 375)(259, 355, 276, 372)(260, 356, 275, 371)(263, 359, 281, 377)(264, 360, 283, 379)(269, 365, 284, 380)(271, 367, 282, 378)(273, 369, 285, 381)(274, 370, 287, 383)(278, 374, 288, 384)(280, 376, 286, 382)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 228)(12, 231)(13, 234)(14, 195)(15, 225)(16, 198)(17, 226)(18, 243)(19, 244)(20, 197)(21, 233)(22, 227)(23, 245)(24, 247)(25, 199)(26, 249)(27, 252)(28, 255)(29, 200)(30, 214)(31, 202)(32, 213)(33, 254)(34, 248)(35, 258)(36, 257)(37, 203)(38, 266)(39, 206)(40, 267)(41, 262)(42, 261)(43, 205)(44, 210)(45, 256)(46, 207)(47, 270)(48, 268)(49, 250)(50, 209)(51, 265)(52, 212)(53, 272)(54, 215)(55, 217)(56, 242)(57, 241)(58, 218)(59, 275)(60, 221)(61, 276)(62, 238)(63, 237)(64, 220)(65, 229)(66, 222)(67, 279)(68, 277)(69, 235)(70, 224)(71, 239)(72, 240)(73, 236)(74, 283)(75, 281)(76, 284)(77, 230)(78, 282)(79, 232)(80, 246)(81, 259)(82, 260)(83, 287)(84, 285)(85, 288)(86, 251)(87, 286)(88, 253)(89, 271)(90, 263)(91, 269)(92, 264)(93, 280)(94, 273)(95, 278)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2285
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x A4) : C2 (small group id <96, 195>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y3^4, (Y1^-1 * Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-2 * Y1^2 * Y3^-2 * Y1^-2, Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 45, 141, 17, 113)(6, 102, 21, 117, 54, 150, 22, 118)(8, 104, 26, 122, 64, 160, 28, 124)(9, 105, 30, 126, 70, 166, 32, 128)(10, 106, 33, 129, 74, 170, 34, 130)(12, 108, 39, 135, 56, 152, 41, 137)(14, 110, 44, 140, 58, 154, 29, 125)(16, 112, 47, 143, 60, 156, 48, 144)(18, 114, 51, 147, 80, 176, 43, 139)(19, 115, 36, 132, 76, 172, 50, 146)(20, 116, 42, 138, 82, 178, 46, 142)(23, 119, 55, 151, 84, 180, 57, 153)(24, 120, 59, 155, 86, 182, 61, 157)(25, 121, 62, 158, 88, 184, 63, 159)(27, 123, 67, 163, 52, 148, 69, 165)(31, 127, 71, 167, 53, 149, 72, 168)(37, 133, 68, 164, 49, 145, 77, 173)(38, 134, 78, 174, 87, 183, 79, 175)(40, 136, 81, 177, 91, 187, 66, 162)(65, 161, 85, 181, 73, 169, 90, 186)(75, 171, 93, 189, 95, 191, 89, 185)(83, 179, 92, 188, 96, 192, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 234, 330)(207, 303, 218, 314)(208, 304, 232, 328)(209, 305, 241, 337)(211, 307, 236, 332)(212, 308, 244, 340)(213, 309, 220, 316)(214, 310, 229, 325)(216, 312, 250, 346)(217, 313, 248, 344)(222, 318, 247, 343)(223, 319, 260, 356)(224, 320, 265, 361)(225, 321, 249, 345)(226, 322, 257, 353)(227, 323, 264, 360)(230, 326, 255, 351)(231, 327, 268, 364)(233, 329, 262, 358)(235, 331, 254, 350)(237, 333, 259, 355)(238, 334, 258, 354)(239, 335, 256, 352)(240, 336, 272, 368)(242, 338, 273, 369)(243, 339, 251, 347)(245, 341, 270, 366)(246, 342, 267, 363)(252, 348, 277, 373)(253, 349, 279, 375)(261, 357, 278, 374)(263, 359, 276, 372)(266, 362, 281, 377)(269, 365, 284, 380)(271, 367, 286, 382)(274, 370, 285, 381)(275, 371, 283, 379)(280, 376, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 232)(13, 220)(14, 195)(15, 238)(16, 198)(17, 242)(18, 244)(19, 245)(20, 197)(21, 234)(22, 228)(23, 248)(24, 252)(25, 199)(26, 257)(27, 260)(28, 249)(29, 200)(30, 214)(31, 202)(32, 209)(33, 213)(34, 207)(35, 267)(36, 255)(37, 247)(38, 203)(39, 272)(40, 206)(41, 256)(42, 254)(43, 205)(44, 210)(45, 275)(46, 251)(47, 262)(48, 268)(49, 265)(50, 253)(51, 258)(52, 270)(53, 212)(54, 264)(55, 230)(56, 277)(57, 235)(58, 215)(59, 226)(60, 217)(61, 224)(62, 225)(63, 222)(64, 281)(65, 243)(66, 218)(67, 227)(68, 221)(69, 276)(70, 284)(71, 278)(72, 237)(73, 279)(74, 239)(75, 283)(76, 286)(77, 233)(78, 236)(79, 231)(80, 285)(81, 241)(82, 240)(83, 246)(84, 287)(85, 250)(86, 288)(87, 273)(88, 263)(89, 269)(90, 261)(91, 259)(92, 266)(93, 271)(94, 274)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2284
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, (Y2 * Y1 * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4, (Y3^-1 * Y1)^4, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 26, 122)(11, 107, 20, 116)(13, 109, 18, 114)(15, 111, 35, 131)(17, 113, 40, 136)(22, 118, 49, 145)(23, 119, 37, 133)(24, 120, 53, 149)(25, 121, 54, 150)(27, 123, 52, 148)(28, 124, 59, 155)(29, 125, 60, 156)(30, 126, 48, 144)(31, 127, 63, 159)(32, 128, 62, 158)(33, 129, 65, 161)(34, 130, 44, 140)(36, 132, 68, 164)(38, 134, 71, 167)(39, 135, 72, 168)(41, 137, 70, 166)(42, 138, 77, 173)(43, 139, 78, 174)(45, 141, 81, 177)(46, 142, 80, 176)(47, 143, 83, 179)(50, 146, 86, 182)(51, 147, 87, 183)(55, 151, 82, 178)(56, 152, 76, 172)(57, 153, 84, 180)(58, 154, 74, 170)(61, 157, 79, 175)(64, 160, 73, 169)(66, 162, 75, 171)(67, 163, 88, 184)(69, 165, 93, 189)(85, 181, 92, 188)(89, 185, 95, 191)(90, 186, 94, 190)(91, 187, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 205, 301)(197, 293, 207, 303)(199, 295, 212, 308)(200, 296, 214, 310)(201, 297, 215, 311)(202, 298, 219, 315)(203, 299, 220, 316)(204, 300, 221, 317)(206, 302, 216, 312)(208, 304, 229, 325)(209, 305, 233, 329)(210, 306, 234, 330)(211, 307, 235, 331)(213, 309, 230, 326)(217, 313, 247, 343)(218, 314, 248, 344)(222, 318, 254, 350)(223, 319, 256, 352)(224, 320, 228, 324)(225, 321, 244, 340)(226, 322, 258, 354)(227, 323, 259, 355)(231, 327, 265, 361)(232, 328, 266, 362)(236, 332, 272, 368)(237, 333, 274, 370)(238, 334, 242, 338)(239, 335, 262, 358)(240, 336, 276, 372)(241, 337, 277, 373)(243, 339, 264, 360)(245, 341, 280, 376)(246, 342, 261, 357)(249, 345, 260, 356)(250, 346, 275, 371)(251, 347, 270, 366)(252, 348, 269, 365)(253, 349, 282, 378)(255, 351, 279, 375)(257, 353, 268, 364)(263, 359, 284, 380)(267, 363, 278, 374)(271, 367, 287, 383)(273, 369, 285, 381)(281, 377, 288, 384)(283, 379, 286, 382)
	L = (1, 196)(2, 199)(3, 202)(4, 197)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 203)(11, 195)(12, 222)(13, 220)(14, 225)(15, 228)(16, 230)(17, 210)(18, 198)(19, 236)(20, 234)(21, 239)(22, 242)(23, 243)(24, 217)(25, 201)(26, 249)(27, 207)(28, 224)(29, 253)(30, 223)(31, 204)(32, 205)(33, 226)(34, 206)(35, 221)(36, 219)(37, 261)(38, 231)(39, 208)(40, 267)(41, 214)(42, 238)(43, 271)(44, 237)(45, 211)(46, 212)(47, 240)(48, 213)(49, 235)(50, 233)(51, 244)(52, 215)(53, 272)(54, 265)(55, 258)(56, 281)(57, 250)(58, 218)(59, 248)(60, 279)(61, 227)(62, 259)(63, 283)(64, 284)(65, 255)(66, 264)(67, 263)(68, 270)(69, 262)(70, 229)(71, 254)(72, 247)(73, 276)(74, 286)(75, 268)(76, 232)(77, 266)(78, 285)(79, 241)(80, 277)(81, 288)(82, 280)(83, 273)(84, 246)(85, 245)(86, 252)(87, 278)(88, 287)(89, 251)(90, 256)(91, 257)(92, 282)(93, 260)(94, 269)(95, 274)(96, 275)(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) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2312
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2, Y2 * R * Y3^-1 * Y2 * Y3 * Y2 * R, (Y1 * Y3)^4, Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 25, 121)(11, 107, 27, 123)(13, 109, 32, 128)(15, 111, 35, 131)(17, 113, 37, 133)(18, 114, 39, 135)(20, 116, 43, 139)(22, 118, 46, 142)(23, 119, 36, 132)(24, 120, 47, 143)(26, 122, 29, 125)(28, 124, 52, 148)(30, 126, 45, 141)(31, 127, 56, 152)(33, 129, 58, 154)(34, 130, 41, 137)(38, 134, 40, 136)(42, 138, 69, 165)(44, 140, 71, 167)(48, 144, 73, 169)(49, 145, 76, 172)(50, 146, 77, 173)(51, 147, 68, 164)(53, 149, 74, 170)(54, 150, 79, 175)(55, 151, 65, 161)(57, 153, 81, 177)(59, 155, 83, 179)(60, 156, 62, 158)(61, 157, 66, 162)(63, 159, 84, 180)(64, 160, 85, 181)(67, 163, 86, 182)(70, 166, 88, 184)(72, 168, 90, 186)(75, 171, 89, 185)(78, 174, 82, 178)(80, 176, 87, 183)(91, 187, 96, 192)(92, 188, 95, 191)(93, 189, 94, 190)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 205, 301)(197, 293, 207, 303)(199, 295, 212, 308)(200, 296, 214, 310)(201, 297, 215, 311)(202, 298, 218, 314)(203, 299, 220, 316)(204, 300, 221, 317)(206, 302, 219, 315)(208, 304, 228, 324)(209, 305, 230, 326)(210, 306, 216, 312)(211, 307, 232, 328)(213, 309, 231, 327)(217, 313, 224, 320)(222, 318, 247, 343)(223, 319, 241, 337)(225, 321, 251, 347)(226, 322, 252, 348)(227, 323, 244, 340)(229, 325, 235, 331)(233, 329, 260, 356)(234, 330, 255, 351)(236, 332, 264, 360)(237, 333, 265, 361)(238, 334, 239, 335)(240, 336, 245, 341)(242, 338, 270, 366)(243, 339, 253, 349)(246, 342, 249, 345)(248, 344, 271, 367)(250, 346, 274, 370)(254, 350, 258, 354)(256, 352, 267, 363)(257, 353, 266, 362)(259, 355, 262, 358)(261, 357, 278, 374)(263, 359, 281, 377)(268, 364, 273, 369)(269, 365, 275, 371)(272, 368, 283, 379)(276, 372, 280, 376)(277, 373, 282, 378)(279, 375, 286, 382)(284, 380, 285, 381)(287, 383, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 197)(5, 193)(6, 209)(7, 200)(8, 194)(9, 212)(10, 203)(11, 195)(12, 222)(13, 220)(14, 225)(15, 228)(16, 205)(17, 210)(18, 198)(19, 233)(20, 216)(21, 236)(22, 215)(23, 230)(24, 201)(25, 240)(26, 207)(27, 242)(28, 208)(29, 245)(30, 223)(31, 204)(32, 247)(33, 226)(34, 206)(35, 251)(36, 218)(37, 254)(38, 214)(39, 256)(40, 258)(41, 234)(42, 211)(43, 260)(44, 237)(45, 213)(46, 264)(47, 267)(48, 241)(49, 217)(50, 243)(51, 219)(52, 270)(53, 246)(54, 221)(55, 249)(56, 272)(57, 224)(58, 248)(59, 253)(60, 244)(61, 227)(62, 255)(63, 229)(64, 257)(65, 231)(66, 259)(67, 232)(68, 262)(69, 279)(70, 235)(71, 261)(72, 266)(73, 239)(74, 238)(75, 265)(76, 283)(77, 268)(78, 252)(79, 284)(80, 250)(81, 285)(82, 273)(83, 271)(84, 286)(85, 276)(86, 287)(87, 263)(88, 288)(89, 280)(90, 278)(91, 269)(92, 275)(93, 274)(94, 277)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2313
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, Y3^-2 * R * Y2 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y2, (Y3 * Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * R)^2, (Y2^-1 * Y1)^4, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2 * Y1 * Y2^-1, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 20, 116)(9, 105, 26, 122)(12, 108, 32, 128)(13, 109, 30, 126)(14, 110, 35, 131)(15, 111, 24, 120)(16, 112, 39, 135)(18, 114, 43, 139)(19, 115, 44, 140)(21, 117, 49, 145)(22, 118, 47, 143)(23, 119, 52, 148)(25, 121, 56, 152)(27, 123, 60, 156)(28, 124, 61, 157)(29, 125, 59, 155)(31, 127, 68, 164)(33, 129, 66, 162)(34, 130, 51, 147)(36, 132, 74, 170)(37, 133, 76, 172)(38, 134, 78, 174)(40, 136, 80, 176)(41, 137, 81, 177)(42, 138, 46, 142)(45, 141, 86, 182)(48, 144, 77, 173)(50, 146, 70, 166)(53, 149, 75, 171)(54, 150, 65, 161)(55, 151, 82, 178)(57, 153, 69, 165)(58, 154, 79, 175)(62, 158, 83, 179)(63, 159, 92, 188)(64, 160, 93, 189)(67, 163, 94, 190)(71, 167, 91, 187)(72, 168, 90, 186)(73, 169, 87, 183)(84, 180, 88, 184)(85, 181, 89, 185)(95, 191, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 211, 307, 204, 300)(200, 296, 215, 311, 217, 313)(202, 298, 220, 316, 213, 309)(203, 299, 221, 317, 223, 319)(205, 301, 226, 322, 210, 306)(207, 303, 229, 325, 230, 326)(209, 305, 233, 329, 234, 330)(212, 308, 238, 334, 240, 336)(214, 310, 243, 339, 219, 315)(216, 312, 246, 342, 247, 343)(218, 314, 250, 346, 251, 347)(222, 318, 257, 353, 259, 355)(224, 320, 262, 358, 255, 351)(225, 321, 237, 333, 263, 359)(227, 323, 265, 361, 267, 363)(228, 324, 264, 360, 232, 328)(231, 327, 261, 357, 256, 352)(235, 331, 277, 373, 274, 370)(236, 332, 276, 372, 275, 371)(239, 335, 268, 364, 281, 377)(241, 337, 258, 354, 279, 375)(242, 338, 254, 350, 282, 378)(244, 340, 284, 380, 266, 362)(245, 341, 283, 379, 249, 345)(248, 344, 272, 368, 280, 376)(252, 348, 286, 382, 270, 366)(253, 349, 285, 381, 278, 374)(260, 356, 287, 383, 273, 369)(269, 365, 288, 384, 271, 367)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 213)(8, 216)(9, 219)(10, 194)(11, 222)(12, 225)(13, 195)(14, 197)(15, 198)(16, 232)(17, 227)(18, 228)(19, 230)(20, 239)(21, 242)(22, 199)(23, 201)(24, 202)(25, 249)(26, 244)(27, 245)(28, 247)(29, 255)(30, 258)(31, 261)(32, 203)(33, 205)(34, 263)(35, 266)(36, 206)(37, 208)(38, 271)(39, 268)(40, 269)(41, 274)(42, 276)(43, 209)(44, 278)(45, 211)(46, 279)(47, 262)(48, 272)(49, 212)(50, 214)(51, 282)(52, 267)(53, 215)(54, 217)(55, 273)(56, 257)(57, 260)(58, 270)(59, 285)(60, 218)(61, 275)(62, 220)(63, 281)(64, 221)(65, 223)(66, 224)(67, 280)(68, 246)(69, 248)(70, 241)(71, 288)(72, 226)(73, 234)(74, 235)(75, 252)(76, 240)(77, 229)(78, 236)(79, 237)(80, 231)(81, 254)(82, 253)(83, 233)(84, 286)(85, 284)(86, 250)(87, 259)(88, 238)(89, 256)(90, 287)(91, 243)(92, 251)(93, 277)(94, 265)(95, 283)(96, 264)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2304
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1)^3, (Y2^-1 * Y3)^4, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 21, 117)(11, 107, 25, 121)(12, 108, 27, 123)(14, 110, 30, 126)(16, 112, 33, 129)(17, 113, 36, 132)(18, 114, 38, 134)(20, 116, 40, 136)(22, 118, 29, 125)(23, 119, 34, 130)(24, 120, 47, 143)(26, 122, 49, 145)(28, 124, 53, 149)(31, 127, 57, 153)(32, 128, 42, 138)(35, 131, 44, 140)(37, 133, 62, 158)(39, 135, 65, 161)(41, 137, 55, 151)(43, 139, 59, 155)(45, 141, 50, 146)(46, 142, 60, 156)(48, 144, 71, 167)(51, 147, 63, 159)(52, 148, 75, 171)(54, 150, 78, 174)(56, 152, 67, 163)(58, 154, 81, 177)(61, 157, 70, 166)(64, 160, 74, 170)(66, 162, 77, 173)(68, 164, 80, 176)(69, 165, 82, 178)(72, 168, 83, 179)(73, 169, 84, 180)(76, 172, 91, 187)(79, 175, 93, 189)(85, 181, 90, 186)(86, 182, 92, 188)(87, 183, 88, 184)(89, 185, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 211, 307, 214, 310)(202, 298, 215, 311, 216, 312)(205, 301, 221, 317, 207, 303)(206, 302, 223, 319, 224, 320)(208, 304, 226, 322, 227, 323)(212, 308, 233, 329, 234, 330)(213, 309, 235, 331, 236, 332)(217, 313, 230, 326, 242, 338)(218, 314, 243, 339, 244, 340)(219, 315, 237, 333, 228, 324)(220, 316, 246, 342, 238, 334)(222, 318, 247, 343, 248, 344)(225, 321, 251, 347, 239, 335)(229, 325, 255, 351, 256, 352)(231, 327, 258, 354, 252, 348)(232, 328, 249, 345, 259, 355)(240, 336, 264, 360, 250, 346)(241, 337, 265, 361, 266, 362)(245, 341, 269, 365, 261, 357)(253, 349, 275, 371, 260, 356)(254, 350, 276, 372, 267, 363)(257, 353, 270, 366, 274, 370)(262, 358, 279, 375, 273, 369)(263, 359, 280, 376, 272, 368)(268, 364, 281, 377, 271, 367)(277, 373, 286, 382, 278, 374)(282, 378, 288, 384, 285, 381)(283, 379, 287, 383, 284, 380)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 213)(10, 195)(11, 218)(12, 220)(13, 222)(14, 197)(15, 225)(16, 198)(17, 229)(18, 231)(19, 232)(20, 200)(21, 201)(22, 237)(23, 238)(24, 240)(25, 241)(26, 203)(27, 245)(28, 204)(29, 242)(30, 205)(31, 250)(32, 243)(33, 207)(34, 252)(35, 253)(36, 254)(37, 209)(38, 257)(39, 210)(40, 211)(41, 260)(42, 255)(43, 261)(44, 262)(45, 214)(46, 215)(47, 263)(48, 216)(49, 217)(50, 221)(51, 224)(52, 268)(53, 219)(54, 271)(55, 272)(56, 265)(57, 273)(58, 223)(59, 274)(60, 226)(61, 227)(62, 228)(63, 234)(64, 277)(65, 230)(66, 278)(67, 276)(68, 233)(69, 235)(70, 236)(71, 239)(72, 281)(73, 248)(74, 282)(75, 283)(76, 244)(77, 284)(78, 285)(79, 246)(80, 247)(81, 249)(82, 251)(83, 286)(84, 259)(85, 256)(86, 258)(87, 287)(88, 288)(89, 264)(90, 266)(91, 267)(92, 269)(93, 270)(94, 275)(95, 279)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2306
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y1 * Y2^-1)^4, (Y1 * Y2^-1 * Y3 * Y2^-1)^2, (Y2^-1 * Y3)^4, (Y1 * Y2 * Y3)^3, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^3, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 22, 118)(11, 107, 26, 122)(12, 108, 28, 124)(14, 110, 31, 127)(16, 112, 36, 132)(17, 113, 40, 136)(18, 114, 42, 138)(20, 116, 45, 141)(21, 117, 46, 142)(23, 119, 52, 148)(24, 120, 48, 144)(25, 121, 55, 151)(27, 123, 58, 154)(29, 125, 63, 159)(30, 126, 65, 161)(32, 128, 35, 131)(33, 129, 69, 165)(34, 130, 38, 134)(37, 133, 73, 169)(39, 135, 76, 172)(41, 137, 68, 164)(43, 139, 50, 146)(44, 140, 84, 180)(47, 143, 87, 183)(49, 145, 78, 174)(51, 147, 86, 182)(53, 149, 81, 177)(54, 150, 80, 176)(56, 152, 79, 175)(57, 153, 71, 167)(59, 155, 77, 173)(60, 156, 75, 171)(61, 157, 74, 170)(62, 158, 88, 184)(64, 160, 85, 181)(66, 162, 83, 179)(67, 163, 72, 168)(70, 166, 82, 178)(89, 185, 93, 189)(90, 186, 95, 191)(91, 187, 94, 190)(92, 188, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 213, 309, 215, 311)(202, 298, 216, 312, 217, 313)(205, 301, 222, 318, 224, 320)(206, 302, 225, 321, 226, 322)(207, 303, 227, 323, 229, 325)(208, 304, 230, 326, 231, 327)(211, 307, 236, 332, 238, 334)(212, 308, 239, 335, 240, 336)(214, 310, 242, 338, 243, 339)(218, 314, 249, 345, 251, 347)(219, 315, 252, 348, 253, 349)(220, 316, 254, 350, 241, 337)(221, 317, 256, 352, 246, 342)(223, 319, 259, 355, 260, 356)(228, 324, 255, 351, 264, 360)(232, 328, 270, 366, 271, 367)(233, 329, 272, 368, 273, 369)(234, 330, 274, 370, 263, 359)(235, 331, 275, 371, 267, 363)(237, 333, 278, 374, 250, 346)(244, 340, 281, 377, 257, 353)(245, 341, 282, 378, 261, 357)(247, 343, 283, 379, 258, 354)(248, 344, 284, 380, 262, 358)(265, 361, 285, 381, 276, 372)(266, 362, 286, 382, 279, 375)(268, 364, 287, 383, 277, 373)(269, 365, 288, 384, 280, 376)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 214)(10, 195)(11, 219)(12, 221)(13, 223)(14, 197)(15, 228)(16, 198)(17, 233)(18, 235)(19, 237)(20, 200)(21, 241)(22, 201)(23, 245)(24, 246)(25, 248)(26, 250)(27, 203)(28, 255)(29, 204)(30, 258)(31, 205)(32, 249)(33, 262)(34, 252)(35, 263)(36, 207)(37, 266)(38, 267)(39, 269)(40, 260)(41, 209)(42, 242)(43, 210)(44, 277)(45, 211)(46, 270)(47, 280)(48, 272)(49, 213)(50, 234)(51, 264)(52, 273)(53, 215)(54, 216)(55, 271)(56, 217)(57, 224)(58, 218)(59, 268)(60, 226)(61, 265)(62, 279)(63, 220)(64, 276)(65, 275)(66, 222)(67, 278)(68, 232)(69, 274)(70, 225)(71, 227)(72, 243)(73, 253)(74, 229)(75, 230)(76, 251)(77, 231)(78, 238)(79, 247)(80, 240)(81, 244)(82, 261)(83, 257)(84, 256)(85, 236)(86, 259)(87, 254)(88, 239)(89, 288)(90, 286)(91, 287)(92, 285)(93, 284)(94, 282)(95, 283)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2305
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y2, (R * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * R)^2, Y3^-2 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 20, 116)(9, 105, 26, 122)(12, 108, 31, 127)(13, 109, 29, 125)(14, 110, 34, 130)(15, 111, 24, 120)(16, 112, 38, 134)(18, 114, 41, 137)(19, 115, 42, 138)(21, 117, 45, 141)(22, 118, 44, 140)(23, 119, 48, 144)(25, 121, 52, 148)(27, 123, 54, 150)(28, 124, 55, 151)(30, 126, 40, 136)(32, 128, 58, 154)(33, 129, 63, 159)(35, 131, 65, 161)(36, 132, 67, 163)(37, 133, 69, 165)(39, 135, 72, 168)(43, 139, 76, 172)(46, 142, 78, 174)(47, 143, 81, 177)(49, 145, 83, 179)(50, 146, 84, 180)(51, 147, 86, 182)(53, 149, 88, 184)(56, 152, 90, 186)(57, 153, 73, 169)(59, 155, 87, 183)(60, 156, 74, 170)(61, 157, 77, 173)(62, 158, 80, 176)(64, 160, 82, 178)(66, 162, 71, 167)(68, 164, 89, 185)(70, 166, 79, 175)(75, 171, 85, 181)(91, 187, 96, 192)(92, 188, 95, 191)(93, 189, 94, 190)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 211, 307, 204, 300)(200, 296, 215, 311, 217, 313)(202, 298, 220, 316, 213, 309)(203, 299, 218, 314, 222, 318)(205, 301, 225, 321, 210, 306)(207, 303, 228, 324, 229, 325)(209, 305, 232, 328, 212, 308)(214, 310, 239, 335, 219, 315)(216, 312, 242, 338, 243, 339)(221, 317, 249, 345, 251, 347)(223, 319, 253, 349, 240, 336)(224, 320, 235, 331, 254, 350)(226, 322, 237, 333, 258, 354)(227, 323, 256, 352, 231, 327)(230, 326, 263, 359, 247, 343)(233, 329, 267, 363, 265, 361)(234, 330, 244, 340, 269, 365)(236, 332, 266, 362, 271, 367)(238, 334, 248, 344, 272, 368)(241, 337, 274, 370, 245, 341)(246, 342, 281, 377, 252, 348)(250, 346, 282, 378, 284, 380)(255, 351, 279, 375, 277, 373)(257, 353, 286, 382, 280, 376)(259, 355, 278, 374, 283, 379)(260, 356, 273, 369, 262, 358)(261, 357, 288, 384, 276, 372)(264, 360, 275, 371, 285, 381)(268, 364, 287, 383, 270, 366)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 213)(8, 216)(9, 219)(10, 194)(11, 221)(12, 224)(13, 195)(14, 197)(15, 198)(16, 231)(17, 226)(18, 227)(19, 229)(20, 236)(21, 238)(22, 199)(23, 201)(24, 202)(25, 245)(26, 240)(27, 241)(28, 243)(29, 250)(30, 252)(31, 203)(32, 205)(33, 254)(34, 257)(35, 206)(36, 208)(37, 262)(38, 259)(39, 260)(40, 265)(41, 209)(42, 268)(43, 211)(44, 270)(45, 212)(46, 214)(47, 272)(48, 275)(49, 215)(50, 217)(51, 279)(52, 276)(53, 277)(54, 218)(55, 282)(56, 220)(57, 222)(58, 223)(59, 278)(60, 283)(61, 284)(62, 273)(63, 274)(64, 225)(65, 233)(66, 287)(67, 281)(68, 228)(69, 234)(70, 235)(71, 285)(72, 230)(73, 288)(74, 232)(75, 280)(76, 271)(77, 286)(78, 237)(79, 261)(80, 255)(81, 256)(82, 239)(83, 246)(84, 267)(85, 242)(86, 247)(87, 248)(88, 244)(89, 264)(90, 251)(91, 249)(92, 263)(93, 253)(94, 258)(95, 269)(96, 266)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2309
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y1 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-2 * Y2, Y1 * Y2^-1 * Y3^2 * Y2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y2 * R * Y3 * Y2 * Y3^-1 * R, (Y2 * Y1)^3, Y1 * Y2 * R * Y1 * Y3^-1 * Y2 * Y3^-1 * R, Y2^-1 * R * Y2 * R * Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2^-1 * Y1 * Y2 * Y3 * R * Y1 * Y3, (Y3^-1 * Y2^-1)^4, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 23, 119)(13, 109, 24, 120)(14, 110, 20, 116)(15, 111, 26, 122)(16, 112, 27, 123)(18, 114, 40, 136)(19, 115, 39, 135)(21, 117, 30, 126)(25, 121, 29, 125)(31, 127, 33, 129)(32, 128, 52, 148)(34, 130, 50, 146)(35, 131, 46, 142)(36, 132, 45, 141)(37, 133, 47, 143)(38, 134, 48, 144)(41, 137, 43, 139)(42, 138, 68, 164)(44, 140, 70, 166)(49, 145, 51, 147)(53, 149, 58, 154)(54, 150, 57, 153)(55, 151, 59, 155)(56, 152, 60, 156)(61, 157, 63, 159)(62, 158, 77, 173)(64, 160, 78, 174)(65, 161, 66, 162)(67, 163, 69, 165)(71, 167, 75, 171)(72, 168, 74, 170)(73, 169, 76, 172)(79, 175, 80, 176)(81, 177, 82, 178)(83, 179, 84, 180)(85, 181, 87, 183)(86, 182, 88, 184)(89, 185, 92, 188)(90, 186, 91, 187)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 221, 317, 222, 318)(203, 299, 220, 316, 207, 303)(204, 300, 223, 319, 224, 320)(205, 301, 225, 321, 226, 322)(209, 305, 218, 314, 214, 310)(210, 306, 233, 329, 234, 330)(211, 307, 235, 331, 236, 332)(215, 311, 241, 337, 242, 338)(216, 312, 243, 339, 244, 340)(227, 323, 253, 349, 254, 350)(228, 324, 255, 351, 256, 352)(229, 325, 257, 353, 250, 346)(230, 326, 258, 354, 246, 342)(231, 327, 259, 355, 260, 356)(232, 328, 261, 357, 262, 358)(237, 333, 268, 364, 269, 365)(238, 334, 265, 361, 270, 366)(239, 335, 271, 367, 249, 345)(240, 336, 272, 368, 245, 341)(247, 343, 273, 369, 267, 363)(248, 344, 274, 370, 264, 360)(251, 347, 275, 371, 266, 362)(252, 348, 276, 372, 263, 359)(277, 373, 285, 381, 284, 380)(278, 374, 288, 384, 282, 378)(279, 375, 287, 383, 283, 379)(280, 376, 286, 382, 281, 377)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 211)(10, 194)(11, 216)(12, 214)(13, 195)(14, 227)(15, 198)(16, 229)(17, 231)(18, 201)(19, 197)(20, 237)(21, 239)(22, 205)(23, 203)(24, 199)(25, 228)(26, 202)(27, 240)(28, 232)(29, 238)(30, 230)(31, 245)(32, 247)(33, 249)(34, 251)(35, 217)(36, 206)(37, 222)(38, 208)(39, 220)(40, 209)(41, 263)(42, 265)(43, 266)(44, 268)(45, 221)(46, 212)(47, 219)(48, 213)(49, 250)(50, 248)(51, 246)(52, 252)(53, 243)(54, 223)(55, 242)(56, 224)(57, 241)(58, 225)(59, 244)(60, 226)(61, 236)(62, 277)(63, 234)(64, 279)(65, 281)(66, 283)(67, 264)(68, 253)(69, 267)(70, 255)(71, 259)(72, 233)(73, 262)(74, 261)(75, 235)(76, 260)(77, 280)(78, 278)(79, 284)(80, 282)(81, 285)(82, 287)(83, 288)(84, 286)(85, 270)(86, 254)(87, 269)(88, 256)(89, 272)(90, 257)(91, 271)(92, 258)(93, 276)(94, 273)(95, 275)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2308
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (Y3 * R)^2, (R * Y1)^2, Y3^4, Y2 * Y3^-2 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y3^-2 * Y2, (Y2^-1 * Y3 * Y2^-1 * Y3^-1)^2, (R * Y2^-1 * Y1 * Y3)^2, (Y3 * Y2^-1)^4, (Y2^-1 * Y3^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 26, 122)(12, 108, 32, 128)(13, 109, 31, 127)(14, 110, 23, 119)(15, 111, 24, 120)(16, 112, 21, 117)(18, 114, 27, 123)(19, 115, 28, 124)(20, 116, 29, 125)(25, 121, 30, 126)(33, 129, 53, 149)(34, 130, 36, 132)(35, 131, 55, 151)(37, 133, 45, 141)(38, 134, 46, 142)(39, 135, 48, 144)(40, 136, 47, 143)(41, 137, 51, 147)(42, 138, 44, 140)(43, 139, 49, 145)(50, 146, 52, 148)(54, 150, 56, 152)(57, 153, 61, 157)(58, 154, 62, 158)(59, 155, 64, 160)(60, 156, 63, 159)(65, 161, 73, 169)(66, 162, 68, 164)(67, 163, 76, 172)(69, 165, 79, 175)(70, 166, 80, 176)(71, 167, 74, 170)(72, 168, 75, 171)(77, 173, 78, 174)(81, 177, 83, 179)(82, 178, 84, 180)(85, 181, 88, 184)(86, 182, 87, 183)(89, 185, 91, 187)(90, 186, 92, 188)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 215, 311, 217, 313)(202, 298, 221, 317, 222, 318)(203, 299, 218, 314, 216, 312)(204, 300, 225, 321, 226, 322)(205, 301, 227, 323, 228, 324)(207, 303, 214, 310, 209, 305)(210, 306, 233, 329, 234, 330)(211, 307, 235, 331, 236, 332)(219, 315, 241, 337, 242, 338)(220, 316, 243, 339, 244, 340)(223, 319, 245, 341, 246, 342)(224, 320, 247, 343, 248, 344)(229, 325, 257, 353, 258, 354)(230, 326, 259, 355, 260, 356)(231, 327, 261, 357, 254, 350)(232, 328, 262, 358, 250, 346)(237, 333, 268, 364, 269, 365)(238, 334, 265, 361, 270, 366)(239, 335, 271, 367, 253, 349)(240, 336, 272, 368, 249, 345)(251, 347, 273, 369, 267, 363)(252, 348, 274, 370, 264, 360)(255, 351, 275, 371, 266, 362)(256, 352, 276, 372, 263, 359)(277, 373, 285, 381, 284, 380)(278, 374, 288, 384, 282, 378)(279, 375, 287, 383, 283, 379)(280, 376, 286, 382, 281, 377)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 205)(8, 216)(9, 219)(10, 194)(11, 223)(12, 199)(13, 195)(14, 229)(15, 198)(16, 231)(17, 220)(18, 218)(19, 197)(20, 237)(21, 239)(22, 224)(23, 238)(24, 202)(25, 232)(26, 211)(27, 209)(28, 201)(29, 230)(30, 240)(31, 214)(32, 203)(33, 249)(34, 251)(35, 253)(36, 255)(37, 221)(38, 206)(39, 217)(40, 208)(41, 263)(42, 265)(43, 266)(44, 268)(45, 215)(46, 212)(47, 222)(48, 213)(49, 264)(50, 257)(51, 267)(52, 259)(53, 254)(54, 252)(55, 250)(56, 256)(57, 247)(58, 225)(59, 246)(60, 226)(61, 245)(62, 227)(63, 248)(64, 228)(65, 236)(66, 277)(67, 234)(68, 279)(69, 281)(70, 283)(71, 241)(72, 233)(73, 244)(74, 243)(75, 235)(76, 242)(77, 280)(78, 278)(79, 284)(80, 282)(81, 285)(82, 287)(83, 288)(84, 286)(85, 270)(86, 258)(87, 269)(88, 260)(89, 272)(90, 261)(91, 271)(92, 262)(93, 276)(94, 273)(95, 275)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2307
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3 * Y1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y2 * R * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^4, Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 32, 128)(13, 109, 33, 129)(14, 110, 37, 133)(15, 111, 26, 122)(16, 112, 43, 139)(18, 114, 31, 127)(19, 115, 47, 143)(20, 116, 29, 125)(21, 117, 23, 119)(24, 120, 53, 149)(25, 121, 56, 152)(27, 123, 61, 157)(30, 126, 64, 160)(34, 130, 46, 142)(35, 131, 49, 145)(36, 132, 68, 164)(38, 134, 71, 167)(39, 135, 60, 156)(40, 136, 76, 172)(41, 137, 62, 158)(42, 138, 57, 153)(44, 140, 59, 155)(45, 141, 83, 179)(48, 144, 67, 163)(50, 146, 85, 181)(51, 147, 65, 161)(52, 148, 55, 151)(54, 150, 66, 162)(58, 154, 74, 170)(63, 159, 89, 185)(69, 165, 95, 191)(70, 166, 82, 178)(72, 168, 80, 176)(73, 169, 90, 186)(75, 171, 92, 188)(77, 173, 78, 174)(79, 175, 94, 190)(81, 177, 86, 182)(84, 180, 93, 189)(87, 183, 91, 187)(88, 184, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 220, 316, 226, 322)(204, 300, 227, 323, 229, 325)(205, 301, 230, 326, 222, 318)(207, 303, 233, 329, 234, 330)(209, 305, 238, 334, 214, 310)(210, 306, 235, 331, 241, 337)(211, 307, 216, 312, 242, 338)(215, 311, 246, 342, 248, 344)(218, 314, 251, 347, 252, 348)(221, 317, 253, 349, 258, 354)(225, 321, 261, 357, 262, 358)(228, 324, 266, 362, 267, 363)(231, 327, 270, 366, 254, 350)(232, 328, 272, 368, 260, 356)(236, 332, 249, 345, 269, 365)(237, 333, 259, 355, 265, 361)(239, 335, 278, 374, 279, 375)(240, 336, 280, 376, 281, 377)(243, 339, 282, 378, 255, 351)(244, 340, 250, 346, 264, 360)(245, 341, 283, 379, 271, 367)(247, 343, 268, 364, 284, 380)(256, 352, 276, 372, 287, 383)(257, 353, 288, 384, 275, 371)(263, 359, 274, 370, 285, 381)(273, 369, 277, 373, 286, 382)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 225)(12, 228)(13, 195)(14, 231)(15, 198)(16, 236)(17, 239)(18, 240)(19, 197)(20, 220)(21, 214)(22, 245)(23, 247)(24, 199)(25, 249)(26, 202)(27, 254)(28, 256)(29, 257)(30, 201)(31, 209)(32, 203)(33, 260)(34, 263)(35, 264)(36, 205)(37, 268)(38, 238)(39, 271)(40, 206)(41, 253)(42, 248)(43, 275)(44, 276)(45, 208)(46, 277)(47, 259)(48, 211)(49, 282)(50, 226)(51, 212)(52, 213)(53, 244)(54, 272)(55, 216)(56, 266)(57, 262)(58, 217)(59, 235)(60, 229)(61, 281)(62, 278)(63, 219)(64, 243)(65, 222)(66, 265)(67, 223)(68, 224)(69, 284)(70, 250)(71, 270)(72, 258)(73, 227)(74, 274)(75, 287)(76, 286)(77, 230)(78, 242)(79, 232)(80, 241)(81, 233)(82, 234)(83, 285)(84, 237)(85, 269)(86, 255)(87, 288)(88, 283)(89, 273)(90, 246)(91, 267)(92, 279)(93, 251)(94, 252)(95, 280)(96, 261)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2310
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y2 * Y1 * Y3)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y1 * Y2^-1)^3, Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2, (Y3 * Y2^-1)^4, Y1 * Y2 * Y3^-2 * Y2 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 34, 130)(13, 109, 27, 123)(14, 110, 30, 126)(15, 111, 26, 122)(16, 112, 24, 120)(18, 114, 44, 140)(19, 115, 25, 121)(20, 116, 38, 134)(21, 117, 47, 143)(23, 119, 53, 149)(29, 125, 61, 157)(31, 127, 56, 152)(32, 128, 63, 159)(33, 129, 43, 139)(35, 131, 69, 165)(36, 132, 60, 156)(37, 133, 48, 144)(39, 135, 62, 158)(40, 136, 68, 164)(41, 137, 66, 162)(42, 138, 54, 150)(45, 141, 57, 153)(46, 142, 81, 177)(49, 145, 77, 173)(50, 146, 59, 155)(51, 147, 87, 183)(52, 148, 58, 154)(55, 151, 64, 160)(65, 161, 73, 169)(67, 163, 85, 181)(70, 166, 95, 191)(71, 167, 80, 176)(72, 168, 86, 182)(74, 170, 92, 188)(75, 171, 78, 174)(76, 172, 88, 184)(79, 175, 82, 178)(83, 179, 91, 187)(84, 180, 96, 192)(89, 185, 94, 190)(90, 186, 93, 189)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 220, 316, 225, 321)(204, 300, 227, 323, 221, 317)(205, 301, 229, 325, 230, 326)(207, 303, 232, 328, 233, 329)(209, 305, 235, 331, 214, 310)(210, 306, 215, 311, 238, 334)(211, 307, 239, 335, 240, 336)(216, 312, 247, 343, 248, 344)(218, 314, 250, 346, 251, 347)(222, 318, 255, 351, 256, 352)(226, 322, 262, 358, 263, 359)(228, 324, 265, 361, 266, 362)(231, 327, 270, 366, 259, 355)(234, 330, 257, 353, 268, 364)(236, 332, 274, 370, 275, 371)(237, 333, 276, 372, 277, 373)(241, 337, 280, 376, 252, 348)(242, 338, 278, 374, 260, 356)(243, 339, 249, 345, 267, 363)(244, 340, 258, 354, 264, 360)(245, 341, 283, 379, 281, 377)(246, 342, 269, 365, 284, 380)(253, 349, 282, 378, 287, 383)(254, 350, 288, 384, 279, 375)(261, 357, 272, 368, 285, 381)(271, 367, 273, 369, 286, 382)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 219)(12, 228)(13, 195)(14, 231)(15, 198)(16, 234)(17, 217)(18, 237)(19, 197)(20, 241)(21, 243)(22, 208)(23, 246)(24, 199)(25, 249)(26, 202)(27, 252)(28, 206)(29, 254)(30, 201)(31, 257)(32, 259)(33, 238)(34, 203)(35, 264)(36, 205)(37, 267)(38, 251)(39, 253)(40, 271)(41, 272)(42, 245)(43, 227)(44, 209)(45, 211)(46, 278)(47, 250)(48, 280)(49, 281)(50, 212)(51, 282)(52, 213)(53, 214)(54, 216)(55, 270)(56, 233)(57, 236)(58, 285)(59, 286)(60, 226)(61, 220)(62, 222)(63, 232)(64, 268)(65, 263)(66, 223)(67, 274)(68, 224)(69, 225)(70, 288)(71, 258)(72, 273)(73, 248)(74, 283)(75, 256)(76, 229)(77, 230)(78, 240)(79, 277)(80, 265)(81, 235)(82, 260)(83, 284)(84, 287)(85, 255)(86, 261)(87, 239)(88, 247)(89, 242)(90, 244)(91, 276)(92, 262)(93, 279)(94, 269)(95, 266)(96, 275)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2311
Graph:: simple bipartite
	v = 80 e = 192 f = 72
	degree seq :: [ 4^48, 6^32 ]

E21.2304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y2)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (Y3^-2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^2 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^3, (Y3 * Y1^-1)^3, Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y3, (Y1^-1 * Y2)^4, Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 23, 119, 13, 109)(4, 100, 15, 111, 25, 121, 17, 113)(6, 102, 21, 117, 24, 120, 22, 118)(8, 104, 26, 122, 18, 114, 28, 124)(9, 105, 30, 126, 20, 116, 32, 128)(10, 106, 33, 129, 19, 115, 34, 130)(12, 108, 38, 134, 54, 150, 40, 136)(14, 110, 44, 140, 53, 149, 45, 141)(16, 112, 47, 143, 55, 151, 31, 127)(27, 123, 59, 155, 50, 146, 61, 157)(29, 125, 65, 161, 49, 145, 66, 162)(35, 131, 56, 152, 41, 137, 62, 158)(36, 132, 73, 169, 43, 139, 75, 171)(37, 133, 76, 172, 42, 138, 77, 173)(39, 135, 79, 175, 90, 186, 74, 170)(46, 142, 85, 181, 48, 144, 86, 182)(51, 147, 88, 184, 52, 148, 89, 185)(57, 153, 83, 179, 64, 160, 84, 180)(58, 154, 78, 174, 63, 159, 80, 176)(60, 156, 92, 188, 87, 183, 91, 187)(67, 163, 71, 167, 68, 164, 82, 178)(69, 165, 72, 168, 70, 166, 81, 177)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 227, 323)(205, 301, 233, 329)(207, 303, 238, 334)(208, 304, 231, 327)(209, 305, 240, 336)(211, 307, 242, 338)(212, 308, 241, 337)(213, 309, 243, 339)(214, 310, 244, 340)(216, 312, 246, 342)(217, 313, 245, 341)(218, 314, 248, 344)(220, 316, 254, 350)(222, 318, 259, 355)(223, 319, 252, 348)(224, 320, 260, 356)(225, 321, 261, 357)(226, 322, 262, 358)(228, 324, 264, 360)(229, 325, 263, 359)(230, 326, 270, 366)(232, 328, 272, 368)(234, 330, 274, 370)(235, 331, 273, 369)(236, 332, 275, 371)(237, 333, 276, 372)(239, 335, 279, 375)(247, 343, 282, 378)(249, 345, 278, 374)(250, 346, 281, 377)(251, 347, 267, 363)(253, 349, 265, 361)(255, 351, 280, 376)(256, 352, 277, 373)(257, 353, 269, 365)(258, 354, 268, 364)(266, 362, 285, 381)(271, 367, 286, 382)(283, 379, 288, 384)(284, 380, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 228)(12, 231)(13, 234)(14, 195)(15, 222)(16, 198)(17, 225)(18, 241)(19, 239)(20, 197)(21, 224)(22, 226)(23, 245)(24, 247)(25, 199)(26, 249)(27, 252)(28, 255)(29, 200)(30, 214)(31, 202)(32, 209)(33, 213)(34, 207)(35, 263)(36, 266)(37, 203)(38, 265)(39, 206)(40, 268)(41, 273)(42, 271)(43, 205)(44, 267)(45, 269)(46, 262)(47, 212)(48, 260)(49, 279)(50, 210)(51, 261)(52, 259)(53, 282)(54, 215)(55, 217)(56, 281)(57, 283)(58, 218)(59, 275)(60, 221)(61, 270)(62, 277)(63, 284)(64, 220)(65, 276)(66, 272)(67, 238)(68, 243)(69, 240)(70, 244)(71, 285)(72, 227)(73, 237)(74, 229)(75, 232)(76, 236)(77, 230)(78, 257)(79, 235)(80, 251)(81, 286)(82, 233)(83, 258)(84, 253)(85, 287)(86, 248)(87, 242)(88, 254)(89, 288)(90, 246)(91, 250)(92, 256)(93, 264)(94, 274)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2296
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-2 * Y2)^2, (Y3 * Y1^-1)^3, (Y2 * Y1 * Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 16, 112, 11, 107)(4, 100, 12, 108, 29, 125, 13, 109)(7, 103, 18, 114, 14, 110, 20, 116)(8, 104, 21, 117, 44, 140, 22, 118)(10, 106, 25, 121, 50, 146, 26, 122)(15, 111, 34, 130, 60, 156, 31, 127)(17, 113, 36, 132, 66, 162, 37, 133)(19, 115, 40, 136, 72, 168, 41, 137)(23, 119, 38, 134, 27, 123, 42, 138)(24, 120, 48, 144, 75, 171, 49, 145)(28, 124, 55, 151, 78, 174, 52, 148)(30, 126, 57, 153, 32, 128, 59, 155)(33, 129, 61, 157, 82, 178, 62, 158)(35, 131, 64, 160, 83, 179, 65, 161)(39, 135, 70, 166, 86, 182, 71, 167)(43, 139, 51, 147, 77, 173, 53, 149)(45, 141, 74, 170, 46, 142, 47, 143)(54, 150, 63, 159, 81, 177, 58, 154)(56, 152, 79, 175, 84, 180, 73, 169)(67, 163, 85, 181, 68, 164, 69, 165)(76, 172, 90, 186, 94, 190, 89, 185)(80, 176, 93, 189, 95, 191, 88, 184)(87, 183, 91, 187, 92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 206, 302)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 215, 311)(203, 299, 219, 315)(204, 300, 222, 318)(205, 301, 224, 320)(207, 303, 225, 321)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 234, 330)(213, 309, 237, 333)(214, 310, 238, 334)(216, 312, 239, 335)(217, 313, 243, 339)(218, 314, 245, 341)(220, 316, 246, 342)(221, 317, 242, 338)(223, 319, 250, 346)(226, 322, 255, 351)(228, 324, 259, 355)(229, 325, 260, 356)(231, 327, 261, 357)(232, 328, 240, 336)(233, 329, 241, 337)(235, 331, 251, 347)(236, 332, 264, 360)(244, 340, 254, 350)(247, 343, 253, 349)(248, 344, 268, 364)(249, 345, 269, 365)(252, 348, 274, 370)(256, 352, 262, 358)(257, 353, 263, 359)(258, 354, 275, 371)(265, 361, 279, 375)(266, 362, 267, 363)(270, 366, 273, 369)(271, 367, 284, 380)(272, 368, 283, 379)(276, 372, 286, 382)(277, 373, 278, 374)(280, 376, 281, 377)(282, 378, 285, 381)(287, 383, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 207)(6, 209)(7, 211)(8, 194)(9, 216)(10, 195)(11, 220)(12, 223)(13, 213)(14, 225)(15, 197)(16, 227)(17, 198)(18, 231)(19, 199)(20, 235)(21, 205)(22, 228)(23, 239)(24, 201)(25, 244)(26, 240)(27, 246)(28, 203)(29, 248)(30, 250)(31, 204)(32, 237)(33, 206)(34, 229)(35, 208)(36, 214)(37, 226)(38, 261)(39, 210)(40, 245)(41, 262)(42, 251)(43, 212)(44, 265)(45, 224)(46, 259)(47, 215)(48, 218)(49, 256)(50, 268)(51, 254)(52, 217)(53, 232)(54, 219)(55, 257)(56, 221)(57, 272)(58, 222)(59, 234)(60, 271)(61, 263)(62, 243)(63, 260)(64, 241)(65, 247)(66, 276)(67, 238)(68, 255)(69, 230)(70, 233)(71, 253)(72, 279)(73, 236)(74, 280)(75, 281)(76, 242)(77, 283)(78, 282)(79, 252)(80, 249)(81, 285)(82, 284)(83, 286)(84, 258)(85, 287)(86, 288)(87, 264)(88, 266)(89, 267)(90, 270)(91, 269)(92, 274)(93, 273)(94, 275)(95, 277)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2298
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, Y1^4, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^3, (Y3 * Y1)^3, (Y3 * Y1^-2 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 5, 101)(3, 99, 9, 105, 23, 119, 11, 107)(4, 100, 12, 108, 29, 125, 13, 109)(7, 103, 18, 114, 41, 137, 20, 116)(8, 104, 21, 117, 46, 142, 22, 118)(10, 106, 26, 122, 37, 133, 27, 123)(14, 110, 33, 129, 52, 148, 24, 120)(15, 111, 35, 131, 61, 157, 31, 127)(16, 112, 36, 132, 65, 161, 38, 134)(17, 113, 39, 135, 68, 164, 40, 136)(19, 115, 43, 139, 34, 130, 44, 140)(25, 121, 53, 149, 67, 163, 54, 150)(28, 124, 58, 154, 66, 162, 56, 152)(30, 126, 57, 153, 70, 166, 60, 156)(32, 128, 62, 158, 69, 165, 55, 151)(42, 138, 73, 169, 51, 147, 74, 170)(45, 141, 78, 174, 63, 159, 76, 172)(47, 143, 77, 173, 59, 155, 79, 175)(48, 144, 80, 176, 64, 160, 75, 171)(49, 145, 81, 177, 89, 185, 71, 167)(50, 146, 82, 178, 90, 186, 83, 179)(72, 168, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 95, 191)(86, 182, 96, 192, 88, 184, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 206, 302)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 216, 312)(203, 299, 210, 306)(204, 300, 222, 318)(205, 301, 224, 320)(207, 303, 226, 322)(209, 305, 229, 325)(212, 308, 228, 324)(213, 309, 239, 335)(214, 310, 240, 336)(215, 311, 241, 337)(217, 313, 243, 339)(218, 314, 247, 343)(219, 315, 249, 345)(220, 316, 234, 330)(221, 317, 242, 338)(223, 319, 251, 347)(225, 321, 230, 326)(227, 323, 256, 352)(231, 327, 261, 357)(232, 328, 262, 358)(233, 329, 263, 359)(235, 331, 267, 363)(236, 332, 269, 365)(237, 333, 258, 354)(238, 334, 264, 360)(244, 340, 273, 369)(245, 341, 277, 373)(246, 342, 278, 374)(248, 344, 279, 375)(250, 346, 280, 376)(252, 348, 274, 370)(253, 349, 276, 372)(254, 350, 275, 371)(255, 351, 259, 355)(257, 353, 281, 377)(260, 356, 282, 378)(265, 361, 285, 381)(266, 362, 286, 382)(268, 364, 287, 383)(270, 366, 288, 384)(271, 367, 283, 379)(272, 368, 284, 380)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 207)(6, 209)(7, 211)(8, 194)(9, 217)(10, 195)(11, 220)(12, 223)(13, 213)(14, 226)(15, 197)(16, 229)(17, 198)(18, 234)(19, 199)(20, 237)(21, 205)(22, 231)(23, 242)(24, 243)(25, 201)(26, 248)(27, 245)(28, 203)(29, 241)(30, 251)(31, 204)(32, 239)(33, 255)(34, 206)(35, 232)(36, 258)(37, 208)(38, 259)(39, 214)(40, 227)(41, 264)(42, 210)(43, 268)(44, 265)(45, 212)(46, 263)(47, 224)(48, 261)(49, 221)(50, 215)(51, 216)(52, 276)(53, 219)(54, 274)(55, 279)(56, 218)(57, 277)(58, 275)(59, 222)(60, 278)(61, 273)(62, 280)(63, 225)(64, 262)(65, 282)(66, 228)(67, 230)(68, 281)(69, 240)(70, 256)(71, 238)(72, 233)(73, 236)(74, 283)(75, 287)(76, 235)(77, 285)(78, 284)(79, 286)(80, 288)(81, 253)(82, 246)(83, 250)(84, 244)(85, 249)(86, 252)(87, 247)(88, 254)(89, 260)(90, 257)(91, 266)(92, 270)(93, 269)(94, 271)(95, 267)(96, 272)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2297
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^4, (Y2 * Y3)^2, Y1 * Y3^-2 * Y1^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^3, Y3^-2 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 43, 139, 17, 113)(6, 102, 21, 117, 49, 145, 22, 118)(8, 104, 26, 122, 59, 155, 28, 124)(9, 105, 30, 126, 63, 159, 32, 128)(10, 106, 33, 129, 64, 160, 34, 130)(12, 108, 27, 123, 51, 147, 40, 136)(14, 110, 31, 127, 53, 149, 42, 138)(16, 112, 29, 125, 55, 151, 45, 141)(18, 114, 46, 142, 68, 164, 36, 132)(19, 115, 47, 143, 70, 166, 37, 133)(20, 116, 48, 144, 75, 171, 44, 140)(23, 119, 50, 146, 77, 173, 52, 148)(24, 120, 54, 150, 81, 177, 56, 152)(25, 121, 57, 153, 82, 178, 58, 154)(38, 134, 71, 167, 80, 176, 72, 168)(39, 135, 69, 165, 86, 182, 60, 156)(41, 137, 73, 169, 78, 174, 61, 157)(62, 158, 87, 183, 76, 172, 79, 175)(65, 161, 89, 185, 93, 189, 83, 179)(66, 162, 90, 186, 94, 190, 84, 180)(67, 163, 91, 187, 95, 191, 88, 184)(74, 170, 92, 188, 96, 192, 85, 181)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 218, 314)(207, 303, 230, 326)(208, 304, 231, 327)(209, 305, 233, 329)(211, 307, 237, 333)(212, 308, 232, 328)(213, 309, 236, 332)(214, 310, 225, 321)(216, 312, 245, 341)(217, 313, 243, 339)(220, 316, 242, 338)(222, 318, 252, 348)(223, 319, 253, 349)(224, 320, 254, 350)(226, 322, 249, 345)(227, 323, 257, 353)(229, 325, 261, 357)(234, 330, 263, 359)(235, 331, 259, 355)(238, 334, 244, 340)(239, 335, 268, 364)(240, 336, 250, 346)(241, 337, 258, 354)(246, 342, 270, 366)(247, 343, 271, 367)(248, 344, 272, 368)(251, 347, 275, 371)(255, 351, 277, 373)(256, 352, 276, 372)(260, 356, 281, 377)(262, 358, 284, 380)(264, 360, 283, 379)(265, 361, 280, 376)(266, 362, 278, 374)(267, 363, 282, 378)(269, 365, 285, 381)(273, 369, 287, 383)(274, 370, 286, 382)(279, 375, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 231)(13, 222)(14, 195)(15, 236)(16, 198)(17, 225)(18, 232)(19, 234)(20, 197)(21, 230)(22, 233)(23, 243)(24, 247)(25, 199)(26, 209)(27, 253)(28, 246)(29, 200)(30, 214)(31, 202)(32, 249)(33, 252)(34, 254)(35, 258)(36, 207)(37, 213)(38, 203)(39, 206)(40, 263)(41, 205)(42, 212)(43, 266)(44, 261)(45, 210)(46, 248)(47, 250)(48, 268)(49, 257)(50, 224)(51, 271)(52, 239)(53, 215)(54, 226)(55, 217)(56, 240)(57, 270)(58, 272)(59, 276)(60, 218)(61, 221)(62, 220)(63, 280)(64, 275)(65, 235)(66, 278)(67, 227)(68, 282)(69, 228)(70, 283)(71, 237)(72, 284)(73, 277)(74, 241)(75, 281)(76, 238)(77, 286)(78, 242)(79, 245)(80, 244)(81, 288)(82, 285)(83, 255)(84, 265)(85, 251)(86, 259)(87, 287)(88, 256)(89, 262)(90, 264)(91, 267)(92, 260)(93, 273)(94, 279)(95, 269)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2301
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3^-1 * Y2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^3, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1^-1)^3, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 43, 139, 17, 113)(6, 102, 21, 117, 49, 145, 22, 118)(8, 104, 26, 122, 59, 155, 28, 124)(9, 105, 30, 126, 63, 159, 32, 128)(10, 106, 33, 129, 64, 160, 34, 130)(12, 108, 31, 127, 51, 147, 40, 136)(14, 110, 29, 125, 53, 149, 42, 138)(16, 112, 27, 123, 55, 151, 45, 141)(18, 114, 46, 142, 69, 165, 36, 132)(19, 115, 47, 143, 75, 171, 44, 140)(20, 116, 48, 144, 72, 168, 38, 134)(23, 119, 50, 146, 77, 173, 52, 148)(24, 120, 54, 150, 81, 177, 56, 152)(25, 121, 57, 153, 82, 178, 58, 154)(37, 133, 70, 166, 80, 176, 71, 167)(39, 135, 68, 164, 86, 182, 60, 156)(41, 137, 73, 169, 78, 174, 61, 157)(62, 158, 87, 183, 76, 172, 79, 175)(65, 161, 89, 185, 93, 189, 83, 179)(66, 162, 90, 186, 94, 190, 88, 184)(67, 163, 91, 187, 95, 191, 85, 181)(74, 170, 92, 188, 96, 192, 84, 180)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 218, 314)(207, 303, 236, 332)(208, 304, 231, 327)(209, 305, 222, 318)(211, 307, 234, 330)(212, 308, 237, 333)(213, 309, 229, 325)(214, 310, 233, 329)(216, 312, 245, 341)(217, 313, 243, 339)(220, 316, 242, 338)(223, 319, 253, 349)(224, 320, 246, 342)(225, 321, 252, 348)(226, 322, 254, 350)(227, 323, 257, 353)(230, 326, 260, 356)(232, 328, 262, 358)(235, 331, 259, 355)(238, 334, 244, 340)(239, 335, 248, 344)(240, 336, 268, 364)(241, 337, 258, 354)(247, 343, 271, 367)(249, 345, 270, 366)(250, 346, 272, 368)(251, 347, 275, 371)(255, 351, 277, 373)(256, 352, 276, 372)(261, 357, 281, 377)(263, 359, 282, 378)(264, 360, 284, 380)(265, 361, 280, 376)(266, 362, 278, 374)(267, 363, 283, 379)(269, 365, 285, 381)(273, 369, 287, 383)(274, 370, 286, 382)(279, 375, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 231)(13, 233)(14, 195)(15, 230)(16, 198)(17, 225)(18, 237)(19, 232)(20, 197)(21, 228)(22, 218)(23, 243)(24, 247)(25, 199)(26, 252)(27, 253)(28, 254)(29, 200)(30, 214)(31, 202)(32, 249)(33, 205)(34, 242)(35, 258)(36, 260)(37, 207)(38, 203)(39, 206)(40, 212)(41, 209)(42, 210)(43, 266)(44, 213)(45, 262)(46, 268)(47, 250)(48, 244)(49, 257)(50, 270)(51, 271)(52, 272)(53, 215)(54, 226)(55, 217)(56, 240)(57, 220)(58, 238)(59, 276)(60, 222)(61, 221)(62, 224)(63, 280)(64, 275)(65, 235)(66, 278)(67, 227)(68, 236)(69, 284)(70, 234)(71, 283)(72, 281)(73, 277)(74, 241)(75, 282)(76, 239)(77, 286)(78, 246)(79, 245)(80, 248)(81, 288)(82, 285)(83, 255)(84, 265)(85, 251)(86, 259)(87, 287)(88, 256)(89, 267)(90, 264)(91, 261)(92, 263)(93, 273)(94, 279)(95, 269)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2300
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, Y3^4, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, R * Y2 * R * Y3^-1 * Y2 * Y3, (Y3 * Y1^-1)^3, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * R * Y1 * Y2 * Y1 * R * Y1^-1, Y2 * Y3^-2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 25, 121, 17, 113)(6, 102, 21, 117, 24, 120, 22, 118)(8, 104, 26, 122, 59, 155, 28, 124)(9, 105, 30, 126, 20, 116, 32, 128)(10, 106, 33, 129, 19, 115, 34, 130)(12, 108, 39, 135, 55, 151, 41, 137)(14, 110, 44, 140, 57, 153, 45, 141)(16, 112, 47, 143, 58, 154, 31, 127)(18, 114, 49, 145, 63, 159, 36, 132)(23, 119, 54, 150, 40, 136, 56, 152)(27, 123, 62, 158, 50, 146, 64, 160)(29, 125, 67, 163, 51, 147, 68, 164)(37, 133, 73, 169, 43, 139, 74, 170)(38, 134, 75, 171, 42, 138, 76, 172)(46, 142, 80, 176, 52, 148, 78, 174)(48, 144, 77, 173, 53, 149, 79, 175)(60, 156, 81, 177, 66, 162, 82, 178)(61, 157, 83, 179, 65, 161, 84, 180)(69, 165, 88, 184, 71, 167, 86, 182)(70, 166, 85, 181, 72, 168, 87, 183)(89, 185, 95, 191, 91, 187, 93, 189)(90, 186, 94, 190, 92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 218, 314)(207, 303, 238, 334)(208, 304, 232, 328)(209, 305, 240, 336)(211, 307, 243, 339)(212, 308, 242, 338)(213, 309, 244, 340)(214, 310, 245, 341)(216, 312, 249, 345)(217, 313, 247, 343)(220, 316, 246, 342)(222, 318, 261, 357)(223, 319, 255, 351)(224, 320, 262, 358)(225, 321, 263, 359)(226, 322, 264, 360)(227, 323, 250, 346)(229, 325, 257, 353)(230, 326, 258, 354)(231, 327, 269, 365)(233, 329, 270, 366)(234, 330, 253, 349)(235, 331, 252, 348)(236, 332, 271, 367)(237, 333, 272, 368)(239, 335, 251, 347)(241, 337, 248, 344)(254, 350, 277, 373)(256, 352, 278, 374)(259, 355, 279, 375)(260, 356, 280, 376)(265, 361, 281, 377)(266, 362, 282, 378)(267, 363, 283, 379)(268, 364, 284, 380)(273, 369, 285, 381)(274, 370, 286, 382)(275, 371, 287, 383)(276, 372, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 232)(13, 234)(14, 195)(15, 222)(16, 198)(17, 225)(18, 242)(19, 239)(20, 197)(21, 224)(22, 226)(23, 247)(24, 250)(25, 199)(26, 252)(27, 255)(28, 257)(29, 200)(30, 214)(31, 202)(32, 209)(33, 213)(34, 207)(35, 249)(36, 258)(37, 246)(38, 203)(39, 265)(40, 206)(41, 267)(42, 248)(43, 205)(44, 266)(45, 268)(46, 264)(47, 212)(48, 262)(49, 253)(50, 251)(51, 210)(52, 263)(53, 261)(54, 230)(55, 227)(56, 235)(57, 215)(58, 217)(59, 243)(60, 241)(61, 218)(62, 273)(63, 221)(64, 275)(65, 228)(66, 220)(67, 274)(68, 276)(69, 238)(70, 244)(71, 240)(72, 245)(73, 237)(74, 233)(75, 236)(76, 231)(77, 284)(78, 282)(79, 283)(80, 281)(81, 260)(82, 256)(83, 259)(84, 254)(85, 288)(86, 286)(87, 287)(88, 285)(89, 269)(90, 271)(91, 270)(92, 272)(93, 277)(94, 279)(95, 278)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2299
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1^4, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^3, (Y3^-1 * Y1^-1)^3, (Y3 * Y1^-1)^3, Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^-2, Y2 * R * Y3^-1 * Y1 * Y3^-1 * Y2 * R * Y1^-1, Y3^-2 * Y1^2 * Y3^-2 * Y1^-2, Y3^-1 * R * Y1 * Y2 * Y1^-1 * R * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 44, 140, 17, 113)(6, 102, 21, 117, 53, 149, 22, 118)(8, 104, 26, 122, 65, 161, 28, 124)(9, 105, 30, 126, 71, 167, 32, 128)(10, 106, 33, 129, 74, 170, 34, 130)(12, 108, 39, 135, 57, 153, 27, 123)(14, 110, 42, 138, 59, 155, 43, 139)(16, 112, 46, 142, 61, 157, 47, 143)(18, 114, 48, 144, 79, 175, 36, 132)(19, 115, 37, 133, 80, 176, 51, 147)(20, 116, 52, 148, 84, 180, 45, 141)(23, 119, 56, 152, 85, 181, 58, 154)(24, 120, 60, 156, 87, 183, 62, 158)(25, 121, 63, 159, 88, 184, 64, 160)(29, 125, 69, 165, 49, 145, 70, 166)(31, 127, 72, 168, 50, 146, 73, 169)(38, 134, 67, 163, 54, 150, 81, 177)(40, 136, 68, 164, 92, 188, 76, 172)(41, 137, 83, 179, 55, 151, 82, 178)(66, 162, 86, 182, 75, 171, 91, 187)(77, 173, 93, 189, 95, 191, 89, 185)(78, 174, 90, 186, 96, 192, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 218, 314)(207, 303, 233, 329)(208, 304, 232, 328)(209, 305, 230, 326)(211, 307, 241, 337)(212, 308, 231, 327)(213, 309, 226, 322)(214, 310, 244, 340)(216, 312, 251, 347)(217, 313, 249, 345)(220, 316, 248, 344)(222, 318, 260, 356)(223, 319, 259, 355)(224, 320, 258, 354)(225, 321, 256, 352)(227, 323, 269, 365)(229, 325, 267, 363)(234, 330, 273, 369)(235, 331, 275, 371)(236, 332, 264, 360)(237, 333, 255, 351)(238, 334, 272, 368)(239, 335, 263, 359)(240, 336, 250, 346)(242, 338, 274, 370)(243, 339, 268, 364)(245, 341, 270, 366)(246, 342, 252, 348)(247, 343, 254, 350)(253, 349, 278, 374)(257, 353, 281, 377)(261, 357, 283, 379)(262, 358, 284, 380)(265, 361, 279, 375)(266, 362, 282, 378)(271, 367, 285, 381)(276, 372, 286, 382)(277, 373, 287, 383)(280, 376, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 232)(13, 224)(14, 195)(15, 237)(16, 198)(17, 225)(18, 231)(19, 242)(20, 197)(21, 246)(22, 247)(23, 249)(24, 253)(25, 199)(26, 207)(27, 259)(28, 254)(29, 200)(30, 214)(31, 202)(32, 255)(33, 267)(34, 268)(35, 270)(36, 209)(37, 256)(38, 203)(39, 274)(40, 206)(41, 205)(42, 266)(43, 276)(44, 262)(45, 258)(46, 271)(47, 257)(48, 252)(49, 210)(50, 212)(51, 213)(52, 260)(53, 269)(54, 250)(55, 248)(56, 222)(57, 278)(58, 243)(59, 215)(60, 226)(61, 217)(62, 244)(63, 233)(64, 230)(65, 282)(66, 218)(67, 221)(68, 220)(69, 280)(70, 245)(71, 234)(72, 227)(73, 277)(74, 281)(75, 228)(76, 240)(77, 236)(78, 284)(79, 286)(80, 235)(81, 239)(82, 241)(83, 238)(84, 285)(85, 288)(86, 251)(87, 261)(88, 287)(89, 263)(90, 273)(91, 265)(92, 264)(93, 272)(94, 275)(95, 279)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2302
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3 * Y1^-1)^3, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3^-2 * Y1^2 * Y3^2 * Y1^2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 5, 101)(3, 99, 11, 107, 35, 131, 13, 109)(4, 100, 15, 111, 44, 140, 17, 113)(6, 102, 21, 117, 55, 151, 22, 118)(8, 104, 26, 122, 65, 161, 28, 124)(9, 105, 30, 126, 71, 167, 32, 128)(10, 106, 33, 129, 76, 172, 34, 130)(12, 108, 39, 135, 57, 153, 41, 137)(14, 110, 43, 139, 59, 155, 29, 125)(16, 112, 47, 143, 61, 157, 48, 144)(18, 114, 51, 147, 79, 175, 36, 132)(19, 115, 49, 145, 83, 179, 54, 150)(20, 116, 38, 134, 81, 177, 45, 141)(23, 119, 56, 152, 85, 181, 58, 154)(24, 120, 60, 156, 87, 183, 62, 158)(25, 121, 63, 159, 88, 184, 64, 160)(27, 123, 67, 163, 52, 148, 69, 165)(31, 127, 73, 169, 53, 149, 74, 170)(37, 133, 68, 164, 46, 142, 80, 176)(40, 136, 70, 166, 92, 188, 75, 171)(42, 138, 82, 178, 50, 146, 84, 180)(66, 162, 86, 182, 72, 168, 91, 187)(77, 173, 93, 189, 95, 191, 89, 185)(78, 174, 90, 186, 96, 192, 94, 190)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 215, 311)(201, 297, 221, 317)(202, 298, 219, 315)(203, 299, 228, 324)(205, 301, 218, 314)(207, 303, 224, 320)(208, 304, 232, 328)(209, 305, 241, 337)(211, 307, 235, 331)(212, 308, 244, 340)(213, 309, 234, 330)(214, 310, 229, 325)(216, 312, 251, 347)(217, 313, 249, 345)(220, 316, 248, 344)(222, 318, 254, 350)(223, 319, 260, 356)(225, 321, 262, 358)(226, 322, 258, 354)(227, 323, 269, 365)(230, 326, 264, 360)(231, 327, 272, 368)(233, 329, 274, 370)(236, 332, 270, 366)(237, 333, 267, 363)(238, 334, 255, 351)(239, 335, 273, 369)(240, 336, 268, 364)(242, 338, 256, 352)(243, 339, 250, 346)(245, 341, 276, 372)(246, 342, 252, 348)(247, 343, 265, 361)(253, 349, 278, 374)(257, 353, 281, 377)(259, 355, 283, 379)(261, 357, 284, 380)(263, 359, 282, 378)(266, 362, 280, 376)(271, 367, 285, 381)(275, 371, 286, 382)(277, 373, 287, 383)(279, 375, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 216)(8, 219)(9, 223)(10, 194)(11, 229)(12, 232)(13, 234)(14, 195)(15, 237)(16, 198)(17, 225)(18, 244)(19, 245)(20, 197)(21, 218)(22, 228)(23, 249)(24, 253)(25, 199)(26, 258)(27, 260)(28, 262)(29, 200)(30, 214)(31, 202)(32, 255)(33, 248)(34, 205)(35, 265)(36, 264)(37, 254)(38, 203)(39, 268)(40, 206)(41, 273)(42, 252)(43, 210)(44, 261)(45, 250)(46, 207)(47, 274)(48, 272)(49, 256)(50, 209)(51, 267)(52, 276)(53, 212)(54, 213)(55, 269)(56, 242)(57, 278)(58, 238)(59, 215)(60, 226)(61, 217)(62, 230)(63, 243)(64, 220)(65, 240)(66, 246)(67, 280)(68, 221)(69, 247)(70, 241)(71, 231)(72, 222)(73, 284)(74, 283)(75, 224)(76, 281)(77, 236)(78, 227)(79, 239)(80, 282)(81, 285)(82, 286)(83, 233)(84, 235)(85, 266)(86, 251)(87, 259)(88, 287)(89, 263)(90, 257)(91, 288)(92, 270)(93, 275)(94, 271)(95, 279)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2303
Graph:: simple bipartite
	v = 72 e = 192 f = 80
	degree seq :: [ 4^48, 8^24 ]

E21.2312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y3 * Y1)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^4, (Y2^-1 * Y1^-1)^4, (Y2^-2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 10, 106, 13, 109)(4, 100, 14, 110, 8, 104)(6, 102, 18, 114, 19, 115)(7, 103, 20, 116, 23, 119)(9, 105, 25, 121, 26, 122)(11, 107, 30, 126, 32, 128)(12, 108, 33, 129, 28, 124)(15, 111, 38, 134, 39, 135)(16, 112, 40, 136, 42, 138)(17, 113, 43, 139, 44, 140)(21, 117, 52, 148, 54, 150)(22, 118, 29, 125, 50, 146)(24, 120, 45, 141, 56, 152)(27, 123, 60, 156, 63, 159)(31, 127, 67, 163, 65, 161)(34, 130, 71, 167, 58, 154)(35, 131, 37, 133, 51, 147)(36, 132, 57, 153, 47, 143)(41, 137, 77, 173, 78, 174)(46, 142, 79, 175, 82, 178)(48, 144, 84, 180, 49, 145)(53, 149, 88, 184, 87, 183)(55, 151, 91, 187, 80, 176)(59, 155, 94, 190, 76, 172)(61, 157, 83, 179, 90, 186)(62, 158, 66, 162, 93, 189)(64, 160, 85, 181, 75, 171)(68, 164, 74, 170, 86, 182)(69, 165, 70, 166, 92, 188)(72, 168, 89, 185, 81, 177)(73, 169, 95, 191, 96, 192)(193, 289, 195, 291, 203, 299, 198, 294)(194, 290, 199, 295, 213, 309, 201, 297)(196, 292, 207, 303, 223, 319, 204, 300)(197, 293, 208, 304, 233, 329, 209, 305)(200, 296, 216, 312, 245, 341, 214, 310)(202, 298, 219, 315, 253, 349, 221, 317)(205, 301, 226, 322, 264, 360, 227, 323)(206, 302, 228, 324, 265, 361, 229, 325)(210, 306, 237, 333, 273, 369, 238, 334)(211, 307, 239, 335, 275, 371, 240, 336)(212, 308, 241, 337, 277, 373, 243, 339)(215, 311, 247, 343, 254, 350, 220, 316)(217, 313, 249, 345, 285, 381, 250, 346)(218, 314, 231, 327, 267, 363, 251, 347)(222, 318, 256, 352, 270, 366, 258, 354)(224, 320, 260, 356, 244, 340, 261, 357)(225, 321, 232, 328, 268, 364, 262, 358)(230, 326, 266, 362, 272, 368, 235, 331)(234, 330, 271, 367, 278, 374, 242, 338)(236, 332, 248, 344, 284, 380, 252, 348)(246, 342, 281, 377, 269, 365, 282, 378)(255, 351, 287, 383, 274, 370, 257, 353)(259, 355, 263, 359, 279, 375, 276, 372)(280, 376, 283, 379, 288, 384, 286, 382)
	L = (1, 196)(2, 200)(3, 204)(4, 193)(5, 206)(6, 207)(7, 214)(8, 194)(9, 216)(10, 220)(11, 223)(12, 195)(13, 225)(14, 197)(15, 198)(16, 229)(17, 228)(18, 231)(19, 230)(20, 242)(21, 245)(22, 199)(23, 221)(24, 201)(25, 248)(26, 237)(27, 254)(28, 202)(29, 215)(30, 257)(31, 203)(32, 259)(33, 205)(34, 262)(35, 232)(36, 209)(37, 208)(38, 211)(39, 210)(40, 227)(41, 265)(42, 243)(43, 239)(44, 249)(45, 218)(46, 267)(47, 235)(48, 266)(49, 278)(50, 212)(51, 234)(52, 279)(53, 213)(54, 280)(55, 253)(56, 217)(57, 236)(58, 284)(59, 273)(60, 285)(61, 247)(62, 219)(63, 258)(64, 274)(65, 222)(66, 255)(67, 224)(68, 276)(69, 263)(70, 226)(71, 261)(72, 268)(73, 233)(74, 240)(75, 238)(76, 264)(77, 288)(78, 287)(79, 277)(80, 275)(81, 251)(82, 256)(83, 272)(84, 260)(85, 271)(86, 241)(87, 244)(88, 246)(89, 286)(90, 283)(91, 282)(92, 250)(93, 252)(94, 281)(95, 270)(96, 269)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2294
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2 * Y1, (Y3 * Y2 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, (Y3^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, (Y2^-1 * Y1^-1 * Y2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 12, 108, 15, 111)(4, 100, 17, 113, 19, 115)(6, 102, 23, 119, 25, 121)(7, 103, 27, 123, 9, 105)(8, 104, 29, 125, 31, 127)(10, 106, 34, 130, 36, 132)(11, 107, 38, 134, 21, 117)(13, 109, 41, 137, 43, 139)(14, 110, 45, 141, 22, 118)(16, 112, 50, 146, 33, 129)(18, 114, 53, 149, 37, 133)(20, 116, 28, 124, 57, 153)(24, 120, 61, 157, 63, 159)(26, 122, 58, 154, 32, 128)(30, 126, 67, 163, 69, 165)(35, 131, 55, 151, 54, 150)(39, 135, 77, 173, 79, 175)(40, 136, 52, 148, 48, 144)(42, 138, 66, 162, 49, 145)(44, 140, 70, 166, 72, 168)(46, 142, 75, 171, 76, 172)(47, 143, 51, 147, 74, 170)(56, 152, 86, 182, 78, 174)(59, 155, 85, 181, 83, 179)(60, 156, 89, 185, 88, 184)(62, 158, 71, 167, 68, 164)(64, 160, 65, 161, 73, 169)(80, 176, 94, 190, 93, 189)(81, 177, 96, 192, 91, 187)(82, 178, 84, 180, 95, 191)(87, 183, 92, 188, 90, 186)(193, 289, 195, 291, 205, 301, 198, 294)(194, 290, 200, 296, 222, 318, 202, 298)(196, 292, 210, 306, 243, 339, 208, 304)(197, 293, 212, 308, 248, 344, 214, 310)(199, 295, 216, 312, 254, 350, 220, 316)(201, 297, 225, 321, 264, 360, 224, 320)(203, 299, 227, 323, 231, 327, 204, 300)(206, 302, 238, 334, 276, 372, 236, 332)(207, 303, 239, 335, 279, 375, 241, 337)(209, 305, 244, 340, 258, 354, 221, 317)(211, 307, 217, 313, 256, 352, 247, 343)(213, 309, 250, 346, 280, 376, 245, 341)(215, 311, 251, 347, 282, 378, 252, 348)(218, 314, 234, 330, 273, 369, 257, 353)(219, 315, 228, 324, 267, 363, 240, 336)(223, 319, 262, 358, 285, 381, 263, 359)(226, 322, 265, 361, 286, 382, 266, 362)(229, 325, 260, 356, 283, 379, 268, 364)(230, 326, 237, 333, 277, 373, 253, 349)(232, 328, 270, 366, 272, 368, 233, 329)(235, 331, 274, 370, 259, 355, 255, 351)(242, 338, 271, 367, 288, 384, 275, 371)(246, 342, 261, 357, 284, 380, 278, 374)(249, 345, 281, 377, 287, 383, 269, 365)
	L = (1, 196)(2, 201)(3, 206)(4, 199)(5, 213)(6, 216)(7, 193)(8, 215)(9, 203)(10, 227)(11, 194)(12, 225)(13, 234)(14, 208)(15, 240)(16, 195)(17, 197)(18, 246)(19, 230)(20, 226)(21, 209)(22, 244)(23, 224)(24, 218)(25, 223)(26, 198)(27, 211)(28, 210)(29, 250)(30, 260)(31, 253)(32, 200)(33, 232)(34, 245)(35, 229)(36, 249)(37, 202)(38, 219)(39, 270)(40, 204)(41, 264)(42, 236)(43, 275)(44, 205)(45, 207)(46, 278)(47, 269)(48, 237)(49, 277)(50, 214)(51, 238)(52, 242)(53, 212)(54, 220)(55, 228)(56, 271)(57, 247)(58, 255)(59, 233)(60, 222)(61, 217)(62, 261)(63, 221)(64, 281)(65, 254)(66, 235)(67, 280)(68, 252)(69, 257)(70, 241)(71, 256)(72, 251)(73, 259)(74, 248)(75, 239)(76, 231)(77, 267)(78, 268)(79, 266)(80, 282)(81, 284)(82, 286)(83, 258)(84, 273)(85, 262)(86, 243)(87, 285)(88, 265)(89, 263)(90, 283)(91, 272)(92, 276)(93, 287)(94, 288)(95, 279)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2295
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2314 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T1 * T2^-1)^3, T2^6, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2 * T1 * T2^3 * T1^-1 * T2^2, T1^-1 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1 * T2, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 52, 24, 8)(4, 12, 33, 69, 37, 13)(6, 17, 45, 85, 49, 18)(9, 26, 62, 42, 36, 27)(11, 22, 56, 43, 51, 31)(14, 39, 68, 28, 67, 34)(15, 40, 19, 30, 64, 41)(21, 47, 70, 59, 84, 54)(23, 57, 44, 53, 81, 58)(25, 60, 91, 83, 93, 61)(32, 72, 65, 77, 48, 73)(35, 76, 86, 74, 80, 46)(38, 78, 90, 66, 94, 79)(50, 75, 96, 82, 63, 87)(55, 89, 95, 88, 92, 71)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 134, 111)(103, 115, 146, 117)(104, 118, 151, 119)(106, 124, 162, 126)(108, 128, 167, 130)(109, 131, 171, 132)(112, 138, 179, 139)(113, 140, 175, 142)(114, 143, 156, 144)(116, 147, 184, 149)(120, 137, 178, 155)(122, 129, 170, 159)(123, 160, 153, 161)(125, 148, 181, 165)(127, 166, 176, 135)(133, 173, 191, 164)(136, 177, 169, 158)(141, 180, 189, 168)(145, 154, 186, 182)(150, 172, 163, 152)(157, 183, 190, 188)(174, 185, 187, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2315
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.2315 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T1 * T2^-1)^3, T2^6, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2 * T1 * T2^3 * T1^-1 * T2^2, T1^-1 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1 * T2, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 52, 148, 24, 120, 8, 104)(4, 100, 12, 108, 33, 129, 69, 165, 37, 133, 13, 109)(6, 102, 17, 113, 45, 141, 85, 181, 49, 145, 18, 114)(9, 105, 26, 122, 62, 158, 42, 138, 36, 132, 27, 123)(11, 107, 22, 118, 56, 152, 43, 139, 51, 147, 31, 127)(14, 110, 39, 135, 68, 164, 28, 124, 67, 163, 34, 130)(15, 111, 40, 136, 19, 115, 30, 126, 64, 160, 41, 137)(21, 117, 47, 143, 70, 166, 59, 155, 84, 180, 54, 150)(23, 119, 57, 153, 44, 140, 53, 149, 81, 177, 58, 154)(25, 121, 60, 156, 91, 187, 83, 179, 93, 189, 61, 157)(32, 128, 72, 168, 65, 161, 77, 173, 48, 144, 73, 169)(35, 131, 76, 172, 86, 182, 74, 170, 80, 176, 46, 142)(38, 134, 78, 174, 90, 186, 66, 162, 94, 190, 79, 175)(50, 146, 75, 171, 96, 192, 82, 178, 63, 159, 87, 183)(55, 151, 89, 185, 95, 191, 88, 184, 92, 188, 71, 167)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 128)(13, 131)(14, 134)(15, 101)(16, 138)(17, 140)(18, 143)(19, 146)(20, 147)(21, 103)(22, 151)(23, 104)(24, 137)(25, 107)(26, 129)(27, 160)(28, 162)(29, 148)(30, 106)(31, 166)(32, 167)(33, 170)(34, 108)(35, 171)(36, 109)(37, 173)(38, 111)(39, 127)(40, 177)(41, 178)(42, 179)(43, 112)(44, 175)(45, 180)(46, 113)(47, 156)(48, 114)(49, 154)(50, 117)(51, 184)(52, 181)(53, 116)(54, 172)(55, 119)(56, 150)(57, 161)(58, 186)(59, 120)(60, 144)(61, 183)(62, 136)(63, 122)(64, 153)(65, 123)(66, 126)(67, 152)(68, 133)(69, 125)(70, 176)(71, 130)(72, 141)(73, 158)(74, 159)(75, 132)(76, 163)(77, 191)(78, 185)(79, 142)(80, 135)(81, 169)(82, 155)(83, 139)(84, 189)(85, 165)(86, 145)(87, 190)(88, 149)(89, 187)(90, 182)(91, 192)(92, 157)(93, 168)(94, 188)(95, 164)(96, 174)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2314
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.2316 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1 * Y3, (Y3 * R)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-2, Y2^6, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^-2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^3 * Y2^-1, Y2^3 * Y3^-1 * Y2^3 * Y1^-1, Y2 * Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y1^2 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-2 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y3^2 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2, Y2^-1 * Y3^2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 50, 146, 21, 117)(8, 104, 22, 118, 55, 151, 23, 119)(10, 106, 28, 124, 66, 162, 30, 126)(12, 108, 32, 128, 71, 167, 34, 130)(13, 109, 35, 131, 75, 171, 36, 132)(16, 112, 42, 138, 83, 179, 43, 139)(17, 113, 44, 140, 79, 175, 46, 142)(18, 114, 47, 143, 60, 156, 48, 144)(20, 116, 51, 147, 88, 184, 53, 149)(24, 120, 41, 137, 82, 178, 59, 155)(26, 122, 33, 129, 74, 170, 63, 159)(27, 123, 64, 160, 57, 153, 65, 161)(29, 125, 52, 148, 85, 181, 69, 165)(31, 127, 70, 166, 80, 176, 39, 135)(37, 133, 77, 173, 95, 191, 68, 164)(40, 136, 81, 177, 73, 169, 62, 158)(45, 141, 84, 180, 93, 189, 72, 168)(49, 145, 58, 154, 90, 186, 86, 182)(54, 150, 76, 172, 67, 163, 56, 152)(61, 157, 87, 183, 94, 190, 92, 188)(78, 174, 89, 185, 91, 187, 96, 192)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 244, 340, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 261, 357, 229, 325, 205, 301)(198, 294, 209, 305, 237, 333, 277, 373, 241, 337, 210, 306)(201, 297, 218, 314, 254, 350, 234, 330, 228, 324, 219, 315)(203, 299, 214, 310, 248, 344, 235, 331, 243, 339, 223, 319)(206, 302, 231, 327, 260, 356, 220, 316, 259, 355, 226, 322)(207, 303, 232, 328, 211, 307, 222, 318, 256, 352, 233, 329)(213, 309, 239, 335, 262, 358, 251, 347, 276, 372, 246, 342)(215, 311, 249, 345, 236, 332, 245, 341, 273, 369, 250, 346)(217, 313, 252, 348, 283, 379, 275, 371, 285, 381, 253, 349)(224, 320, 264, 360, 257, 353, 269, 365, 240, 336, 265, 361)(227, 323, 268, 364, 278, 374, 266, 362, 272, 368, 238, 334)(230, 326, 270, 366, 282, 378, 258, 354, 286, 382, 271, 367)(242, 338, 267, 363, 288, 384, 274, 370, 255, 351, 279, 375)(247, 343, 281, 377, 287, 383, 280, 376, 284, 380, 263, 359)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 222)(11, 217)(12, 226)(13, 228)(14, 197)(15, 230)(16, 235)(17, 238)(18, 240)(19, 199)(20, 245)(21, 242)(22, 200)(23, 247)(24, 251)(25, 201)(26, 255)(27, 257)(28, 202)(29, 261)(30, 258)(31, 231)(32, 204)(33, 218)(34, 263)(35, 205)(36, 267)(37, 260)(38, 206)(39, 272)(40, 254)(41, 216)(42, 208)(43, 275)(44, 209)(45, 264)(46, 271)(47, 210)(48, 252)(49, 278)(50, 211)(51, 212)(52, 221)(53, 280)(54, 248)(55, 214)(56, 259)(57, 256)(58, 241)(59, 274)(60, 239)(61, 284)(62, 265)(63, 266)(64, 219)(65, 249)(66, 220)(67, 268)(68, 287)(69, 277)(70, 223)(71, 224)(72, 285)(73, 273)(74, 225)(75, 227)(76, 246)(77, 229)(78, 288)(79, 236)(80, 262)(81, 232)(82, 233)(83, 234)(84, 237)(85, 244)(86, 282)(87, 253)(88, 243)(89, 270)(90, 250)(91, 281)(92, 286)(93, 276)(94, 279)(95, 269)(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) :: { ( 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 E21.2317
Graph:: bipartite
	v = 40 e = 192 f = 112
	degree seq :: [ 8^24, 12^16 ]

E21.2317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = ((C4 x C2) : C4) : C3 (small group id <96, 3>)
Aut   = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3)^3, Y1^6, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y3^-1 * Y1^3 * Y3 * Y1^-3, Y1^3 * Y3^-1 * Y1^3 * Y3, (Y3 * Y2^-1)^4, Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 44, 140, 30, 126, 11, 107)(5, 101, 15, 111, 39, 135, 45, 141, 42, 138, 16, 112)(7, 103, 20, 116, 50, 146, 35, 131, 43, 139, 22, 118)(8, 104, 23, 119, 55, 151, 36, 132, 58, 154, 24, 120)(10, 106, 28, 124, 63, 159, 84, 180, 66, 162, 29, 125)(12, 108, 32, 128, 48, 144, 18, 114, 46, 142, 34, 130)(14, 110, 37, 133, 26, 122, 19, 115, 49, 145, 38, 134)(21, 117, 52, 148, 89, 185, 75, 171, 90, 186, 53, 149)(27, 123, 61, 157, 57, 153, 68, 164, 94, 190, 62, 158)(31, 127, 69, 165, 64, 160, 59, 155, 76, 172, 70, 166)(33, 129, 72, 168, 86, 182, 47, 143, 85, 181, 73, 169)(40, 136, 79, 175, 54, 150, 83, 179, 67, 163, 80, 176)(41, 137, 81, 177, 95, 191, 78, 174, 71, 167, 65, 161)(51, 147, 88, 184, 60, 156, 82, 178, 96, 192, 77, 173)(56, 152, 92, 188, 87, 183, 93, 189, 91, 187, 74, 170)(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, 215)(12, 225)(13, 227)(14, 196)(15, 232)(16, 233)(17, 236)(18, 239)(19, 198)(20, 231)(21, 200)(22, 241)(23, 248)(24, 249)(25, 250)(26, 252)(27, 201)(28, 256)(29, 253)(30, 230)(31, 203)(32, 216)(33, 206)(34, 207)(35, 267)(36, 205)(37, 268)(38, 269)(39, 270)(40, 266)(41, 274)(42, 275)(43, 208)(44, 276)(45, 209)(46, 247)(47, 211)(48, 234)(49, 261)(50, 229)(51, 212)(52, 259)(53, 280)(54, 214)(55, 254)(56, 223)(57, 263)(58, 285)(59, 217)(60, 219)(61, 244)(62, 273)(63, 286)(64, 265)(65, 220)(66, 262)(67, 221)(68, 222)(69, 246)(70, 278)(71, 224)(72, 284)(73, 257)(74, 226)(75, 228)(76, 272)(77, 260)(78, 243)(79, 255)(80, 242)(81, 238)(82, 235)(83, 279)(84, 237)(85, 283)(86, 287)(87, 240)(88, 277)(89, 288)(90, 271)(91, 245)(92, 281)(93, 251)(94, 282)(95, 258)(96, 264)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2316
Graph:: simple bipartite
	v = 112 e = 192 f = 40
	degree seq :: [ 2^96, 12^16 ]

E21.2318 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, T1 * T2^-2 * T1 * T2 * T1 * T2, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 53, 24, 8)(4, 12, 34, 68, 38, 13)(6, 17, 47, 85, 51, 18)(9, 26, 63, 44, 37, 27)(11, 31, 71, 45, 22, 32)(14, 40, 35, 28, 67, 41)(15, 42, 19, 30, 69, 43)(21, 55, 89, 60, 49, 56)(23, 58, 46, 54, 88, 59)(25, 61, 91, 83, 86, 62)(33, 73, 92, 78, 50, 65)(36, 76, 48, 74, 95, 77)(39, 79, 84, 66, 94, 80)(52, 64, 93, 82, 75, 87)(57, 90, 72, 70, 96, 81)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 148, 117)(104, 118, 153, 119)(106, 124, 162, 126)(108, 129, 168, 131)(109, 132, 171, 133)(112, 140, 179, 141)(113, 142, 180, 144)(114, 145, 182, 146)(116, 127, 166, 150)(120, 139, 178, 156)(122, 130, 170, 160)(123, 138, 154, 161)(125, 149, 181, 164)(128, 152, 172, 136)(134, 174, 177, 137)(143, 151, 157, 169)(147, 155, 176, 173)(158, 183, 175, 186)(159, 165, 184, 188)(163, 167, 185, 191)(187, 189, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2319
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.2319 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, T1 * T2^-2 * T1 * T2 * T1 * T2, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 53, 149, 24, 120, 8, 104)(4, 100, 12, 108, 34, 130, 68, 164, 38, 134, 13, 109)(6, 102, 17, 113, 47, 143, 85, 181, 51, 147, 18, 114)(9, 105, 26, 122, 63, 159, 44, 140, 37, 133, 27, 123)(11, 107, 31, 127, 71, 167, 45, 141, 22, 118, 32, 128)(14, 110, 40, 136, 35, 131, 28, 124, 67, 163, 41, 137)(15, 111, 42, 138, 19, 115, 30, 126, 69, 165, 43, 139)(21, 117, 55, 151, 89, 185, 60, 156, 49, 145, 56, 152)(23, 119, 58, 154, 46, 142, 54, 150, 88, 184, 59, 155)(25, 121, 61, 157, 91, 187, 83, 179, 86, 182, 62, 158)(33, 129, 73, 169, 92, 188, 78, 174, 50, 146, 65, 161)(36, 132, 76, 172, 48, 144, 74, 170, 95, 191, 77, 173)(39, 135, 79, 175, 84, 180, 66, 162, 94, 190, 80, 176)(52, 148, 64, 160, 93, 189, 82, 178, 75, 171, 87, 183)(57, 153, 90, 186, 72, 168, 70, 166, 96, 192, 81, 177)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 129)(13, 132)(14, 135)(15, 101)(16, 140)(17, 142)(18, 145)(19, 148)(20, 127)(21, 103)(22, 153)(23, 104)(24, 139)(25, 107)(26, 130)(27, 138)(28, 162)(29, 149)(30, 106)(31, 166)(32, 152)(33, 168)(34, 170)(35, 108)(36, 171)(37, 109)(38, 174)(39, 111)(40, 128)(41, 134)(42, 154)(43, 178)(44, 179)(45, 112)(46, 180)(47, 151)(48, 113)(49, 182)(50, 114)(51, 155)(52, 117)(53, 181)(54, 116)(55, 157)(56, 172)(57, 119)(58, 161)(59, 176)(60, 120)(61, 169)(62, 183)(63, 165)(64, 122)(65, 123)(66, 126)(67, 167)(68, 125)(69, 184)(70, 150)(71, 185)(72, 131)(73, 143)(74, 160)(75, 133)(76, 136)(77, 147)(78, 177)(79, 186)(80, 173)(81, 137)(82, 156)(83, 141)(84, 144)(85, 164)(86, 146)(87, 175)(88, 188)(89, 191)(90, 158)(91, 189)(92, 159)(93, 190)(94, 192)(95, 163)(96, 187)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2318
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.2320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, Y1^2 * Y3^-2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y1 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2, Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 52, 148, 21, 117)(8, 104, 22, 118, 57, 153, 23, 119)(10, 106, 28, 124, 66, 162, 30, 126)(12, 108, 33, 129, 72, 168, 35, 131)(13, 109, 36, 132, 75, 171, 37, 133)(16, 112, 44, 140, 83, 179, 45, 141)(17, 113, 46, 142, 84, 180, 48, 144)(18, 114, 49, 145, 86, 182, 50, 146)(20, 116, 31, 127, 70, 166, 54, 150)(24, 120, 43, 139, 82, 178, 60, 156)(26, 122, 34, 130, 74, 170, 64, 160)(27, 123, 42, 138, 58, 154, 65, 161)(29, 125, 53, 149, 85, 181, 68, 164)(32, 128, 56, 152, 76, 172, 40, 136)(38, 134, 78, 174, 81, 177, 41, 137)(47, 143, 55, 151, 61, 157, 73, 169)(51, 147, 59, 155, 80, 176, 77, 173)(62, 158, 87, 183, 79, 175, 90, 186)(63, 159, 69, 165, 88, 184, 92, 188)(67, 163, 71, 167, 89, 185, 95, 191)(91, 187, 93, 189, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 245, 341, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 260, 356, 230, 326, 205, 301)(198, 294, 209, 305, 239, 335, 277, 373, 243, 339, 210, 306)(201, 297, 218, 314, 255, 351, 236, 332, 229, 325, 219, 315)(203, 299, 223, 319, 263, 359, 237, 333, 214, 310, 224, 320)(206, 302, 232, 328, 227, 323, 220, 316, 259, 355, 233, 329)(207, 303, 234, 330, 211, 307, 222, 318, 261, 357, 235, 331)(213, 309, 247, 343, 281, 377, 252, 348, 241, 337, 248, 344)(215, 311, 250, 346, 238, 334, 246, 342, 280, 376, 251, 347)(217, 313, 253, 349, 283, 379, 275, 371, 278, 374, 254, 350)(225, 321, 265, 361, 284, 380, 270, 366, 242, 338, 257, 353)(228, 324, 268, 364, 240, 336, 266, 362, 287, 383, 269, 365)(231, 327, 271, 367, 276, 372, 258, 354, 286, 382, 272, 368)(244, 340, 256, 352, 285, 381, 274, 370, 267, 363, 279, 375)(249, 345, 282, 378, 264, 360, 262, 358, 288, 384, 273, 369)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 222)(11, 217)(12, 227)(13, 229)(14, 197)(15, 231)(16, 237)(17, 240)(18, 242)(19, 199)(20, 246)(21, 244)(22, 200)(23, 249)(24, 252)(25, 201)(26, 256)(27, 257)(28, 202)(29, 260)(30, 258)(31, 212)(32, 232)(33, 204)(34, 218)(35, 264)(36, 205)(37, 267)(38, 233)(39, 206)(40, 268)(41, 273)(42, 219)(43, 216)(44, 208)(45, 275)(46, 209)(47, 265)(48, 276)(49, 210)(50, 278)(51, 269)(52, 211)(53, 221)(54, 262)(55, 239)(56, 224)(57, 214)(58, 234)(59, 243)(60, 274)(61, 247)(62, 282)(63, 284)(64, 266)(65, 250)(66, 220)(67, 287)(68, 277)(69, 255)(70, 223)(71, 259)(72, 225)(73, 253)(74, 226)(75, 228)(76, 248)(77, 272)(78, 230)(79, 279)(80, 251)(81, 270)(82, 235)(83, 236)(84, 238)(85, 245)(86, 241)(87, 254)(88, 261)(89, 263)(90, 271)(91, 288)(92, 280)(93, 283)(94, 285)(95, 281)(96, 286)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2321
Graph:: bipartite
	v = 40 e = 192 f = 112
	degree seq :: [ 8^24, 12^16 ]

E21.2321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y3 * Y2^-1)^4, Y3^-2 * Y1^-1 * Y3^2 * Y1^2 * Y3^-2 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 46, 142, 31, 127, 11, 107)(5, 101, 15, 111, 40, 136, 47, 143, 44, 140, 16, 112)(7, 103, 20, 116, 51, 147, 36, 132, 45, 141, 22, 118)(8, 104, 23, 119, 56, 152, 37, 133, 30, 126, 24, 120)(10, 106, 28, 124, 62, 158, 84, 180, 66, 162, 29, 125)(12, 108, 33, 129, 42, 138, 18, 114, 48, 144, 35, 131)(14, 110, 38, 134, 26, 122, 19, 115, 50, 146, 39, 135)(21, 117, 53, 149, 91, 187, 76, 172, 93, 189, 54, 150)(27, 123, 61, 157, 95, 191, 69, 165, 65, 161, 58, 154)(32, 128, 70, 166, 63, 159, 59, 155, 88, 184, 71, 167)(34, 130, 73, 169, 87, 183, 49, 145, 86, 182, 74, 170)(41, 137, 79, 175, 89, 185, 83, 179, 67, 163, 55, 151)(43, 139, 72, 168, 64, 160, 78, 174, 85, 181, 82, 178)(52, 148, 90, 186, 77, 173, 81, 177, 92, 188, 60, 156)(57, 153, 96, 192, 75, 171, 68, 164, 94, 190, 80, 176)(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, 222)(12, 226)(13, 228)(14, 196)(15, 233)(16, 235)(17, 238)(18, 241)(19, 198)(20, 232)(21, 200)(22, 230)(23, 249)(24, 250)(25, 215)(26, 252)(27, 201)(28, 255)(29, 257)(30, 260)(31, 231)(32, 203)(33, 216)(34, 206)(35, 236)(36, 268)(37, 205)(38, 262)(39, 269)(40, 270)(41, 272)(42, 207)(43, 273)(44, 275)(45, 208)(46, 276)(47, 209)(48, 248)(49, 211)(50, 280)(51, 242)(52, 212)(53, 271)(54, 284)(55, 214)(56, 287)(57, 251)(58, 264)(59, 217)(60, 219)(61, 245)(62, 253)(63, 279)(64, 220)(65, 285)(66, 263)(67, 221)(68, 224)(69, 223)(70, 247)(71, 266)(72, 225)(73, 286)(74, 274)(75, 227)(76, 229)(77, 261)(78, 244)(79, 254)(80, 234)(81, 237)(82, 258)(83, 267)(84, 239)(85, 240)(86, 288)(87, 256)(88, 281)(89, 243)(90, 278)(91, 282)(92, 265)(93, 259)(94, 246)(95, 277)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2320
Graph:: simple bipartite
	v = 112 e = 192 f = 40
	degree seq :: [ 2^96, 12^16 ]

E21.2322 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X1^4, X2^6, X2 * X1^-1 * X2^-2 * X1 * X2 * X1^-1, X2 * X1 * X2 * X1 * X2^-2 * X1^-1, (X2^-2 * X1^-1)^3, (X2^-3 * X1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 39, 15)(7, 19, 52, 21)(8, 22, 57, 23)(10, 28, 66, 30)(12, 33, 73, 35)(13, 36, 77, 37)(16, 44, 87, 45)(17, 46, 90, 48)(18, 49, 92, 50)(20, 54, 64, 26)(24, 60, 85, 43)(27, 40, 58, 65)(29, 68, 91, 69)(31, 71, 75, 34)(32, 56, 79, 42)(38, 41, 83, 80)(47, 76, 61, 53)(51, 78, 82, 59)(55, 94, 74, 95)(62, 93, 81, 96)(63, 86, 88, 67)(70, 89, 84, 72)(97, 99, 106, 125, 112, 101)(98, 103, 116, 151, 120, 104)(100, 108, 130, 170, 134, 109)(102, 113, 143, 187, 147, 114)(105, 122, 159, 174, 132, 123)(107, 127, 168, 155, 119, 128)(110, 136, 115, 149, 180, 137)(111, 138, 131, 172, 182, 139)(117, 124, 163, 176, 146, 152)(118, 154, 142, 171, 184, 140)(121, 157, 190, 183, 188, 158)(126, 166, 156, 145, 161, 129)(133, 175, 144, 150, 185, 141)(135, 177, 186, 162, 191, 178)(148, 167, 165, 181, 173, 189)(153, 192, 169, 160, 164, 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) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.2323 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X2^-1 * X1^-2 * X2 * X1 * X2^-1, X1^6, (X2 * X1^-1)^3, X2^6, X2 * X1^2 * X2 * X1^-1 * X2^-2 * X1^-1, (X2^-1 * X1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 18, 114, 13, 109, 4, 100)(3, 99, 9, 105, 27, 123, 61, 157, 32, 128, 11, 107)(5, 101, 15, 111, 26, 122, 60, 156, 33, 129, 16, 112)(7, 103, 21, 117, 51, 147, 88, 184, 55, 151, 23, 119)(8, 104, 24, 120, 50, 146, 87, 183, 56, 152, 25, 121)(10, 106, 29, 125, 64, 160, 85, 181, 68, 164, 31, 127)(12, 108, 22, 118, 53, 149, 90, 186, 72, 168, 35, 131)(14, 110, 37, 133, 17, 113, 43, 139, 73, 169, 38, 134)(19, 115, 46, 142, 82, 178, 77, 173, 41, 137, 47, 143)(20, 116, 48, 144, 81, 177, 76, 172, 40, 136, 49, 145)(28, 124, 62, 158, 95, 191, 71, 167, 86, 182, 63, 159)(30, 126, 66, 162, 89, 185, 52, 148, 42, 138, 67, 163)(34, 130, 65, 161, 94, 190, 58, 154, 78, 174, 44, 140)(36, 132, 70, 166, 39, 135, 75, 171, 84, 180, 69, 165)(45, 141, 79, 175, 74, 170, 93, 189, 57, 153, 80, 176)(54, 150, 91, 187, 96, 192, 83, 179, 59, 155, 92, 188)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 124)(10, 126)(11, 120)(12, 130)(13, 127)(14, 100)(15, 136)(16, 137)(17, 101)(18, 140)(19, 105)(20, 102)(21, 148)(22, 150)(23, 144)(24, 153)(25, 154)(26, 104)(27, 149)(28, 146)(29, 161)(30, 113)(31, 142)(32, 163)(33, 107)(34, 167)(35, 111)(36, 109)(37, 152)(38, 151)(39, 110)(40, 143)(41, 159)(42, 112)(43, 155)(44, 117)(45, 114)(46, 179)(47, 175)(48, 180)(49, 181)(50, 116)(51, 123)(52, 177)(53, 125)(54, 122)(55, 188)(56, 119)(57, 174)(58, 185)(59, 121)(60, 182)(61, 189)(62, 134)(63, 184)(64, 183)(65, 178)(66, 176)(67, 186)(68, 133)(69, 128)(70, 129)(71, 135)(72, 191)(73, 131)(74, 132)(75, 138)(76, 187)(77, 139)(78, 166)(79, 169)(80, 168)(81, 141)(82, 147)(83, 170)(84, 164)(85, 192)(86, 145)(87, 162)(88, 171)(89, 173)(90, 172)(91, 165)(92, 157)(93, 158)(94, 156)(95, 160)(96, 190)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.2324 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T2^6, T2^-1 * T1^-2 * T2 * T1 * T2^-1, (T2 * T1^-1)^3, T1^6, T2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 54, 26, 8)(4, 12, 34, 71, 39, 14)(6, 19, 9, 28, 50, 20)(11, 24, 57, 78, 70, 33)(13, 31, 46, 83, 74, 36)(15, 40, 47, 79, 73, 35)(16, 41, 63, 88, 75, 42)(18, 44, 21, 52, 81, 45)(23, 48, 84, 68, 37, 56)(25, 58, 89, 77, 43, 59)(27, 53, 29, 65, 82, 51)(32, 67, 90, 76, 91, 69)(38, 55, 92, 61, 93, 62)(49, 85, 96, 94, 60, 86)(64, 87, 66, 80, 72, 95)(97, 98, 102, 114, 109, 100)(99, 105, 123, 157, 128, 107)(101, 111, 122, 156, 129, 112)(103, 117, 147, 184, 151, 119)(104, 120, 146, 183, 152, 121)(106, 125, 160, 181, 164, 127)(108, 118, 149, 186, 168, 131)(110, 133, 113, 139, 169, 134)(115, 142, 178, 173, 137, 143)(116, 144, 177, 172, 136, 145)(124, 158, 191, 167, 182, 159)(126, 162, 185, 148, 138, 163)(130, 161, 190, 154, 174, 140)(132, 166, 135, 171, 180, 165)(141, 175, 170, 189, 153, 176)(150, 187, 192, 179, 155, 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 ) }
Outer automorphisms :: reflexible
Dual of E21.2325
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2325 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2^4, T1^-1 * F * T1 * F * T2^-1, T1^6, T1^2 * F * T1^-2 * F * T2, T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1 * T2 * T1 * T2 * T1^-2 * T2^-1, (T2 * T1 * F * T1^-1)^2, (T1^-2 * T2^-1)^3, (T1^2 * T2^-1)^3, (T1^-1 * T2^-2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 21, 117, 8, 104)(4, 100, 12, 108, 34, 130, 14, 110)(6, 102, 18, 114, 49, 145, 19, 115)(9, 105, 26, 122, 62, 158, 27, 123)(11, 107, 30, 126, 70, 166, 32, 128)(13, 109, 36, 132, 77, 173, 37, 133)(15, 111, 41, 137, 85, 181, 42, 138)(16, 112, 43, 139, 87, 183, 45, 141)(17, 113, 46, 142, 90, 186, 47, 143)(20, 116, 25, 121, 60, 156, 52, 148)(22, 118, 33, 129, 69, 165, 55, 151)(23, 119, 57, 153, 84, 180, 40, 136)(24, 120, 58, 154, 80, 176, 38, 134)(28, 124, 64, 160, 92, 188, 65, 161)(29, 125, 66, 162, 95, 191, 68, 164)(31, 127, 71, 167, 82, 178, 39, 135)(35, 131, 75, 171, 89, 185, 44, 140)(48, 144, 51, 147, 81, 177, 78, 174)(50, 146, 79, 175, 76, 172, 56, 152)(53, 149, 61, 157, 63, 159, 86, 182)(54, 150, 94, 190, 73, 169, 96, 192)(59, 155, 93, 189, 83, 179, 91, 187)(67, 163, 88, 184, 74, 170, 72, 168)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 111)(6, 113)(7, 116)(8, 119)(9, 121)(10, 124)(11, 99)(12, 129)(13, 100)(14, 134)(15, 136)(16, 101)(17, 109)(18, 144)(19, 146)(20, 147)(21, 149)(22, 103)(23, 152)(24, 104)(25, 155)(26, 157)(27, 114)(28, 159)(29, 106)(30, 165)(31, 107)(32, 120)(33, 122)(34, 169)(35, 108)(36, 126)(37, 141)(38, 138)(39, 110)(40, 179)(41, 115)(42, 182)(43, 118)(44, 112)(45, 176)(46, 171)(47, 178)(48, 185)(49, 187)(50, 167)(51, 184)(52, 142)(53, 189)(54, 117)(55, 137)(56, 168)(57, 143)(58, 123)(59, 127)(60, 175)(61, 172)(62, 153)(63, 186)(64, 180)(65, 156)(66, 151)(67, 125)(68, 154)(69, 160)(70, 192)(71, 162)(72, 128)(73, 188)(74, 130)(75, 166)(76, 131)(77, 191)(78, 132)(79, 133)(80, 161)(81, 135)(82, 183)(83, 140)(84, 174)(85, 148)(86, 177)(87, 190)(88, 139)(89, 164)(90, 163)(91, 170)(92, 145)(93, 173)(94, 158)(95, 150)(96, 181)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2324
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2326 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 6, 6})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y2^-1 * Y1^-2 * Y2 * Y1 * Y2^-1, Y1^6, (Y2 * Y1^-1)^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2^-2, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal
	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, 194, 198, 210, 205, 196)(195, 201, 219, 253, 224, 203)(197, 207, 218, 252, 225, 208)(199, 213, 243, 280, 247, 215)(200, 216, 242, 279, 248, 217)(202, 221, 256, 277, 260, 223)(204, 214, 245, 282, 264, 227)(206, 229, 209, 235, 265, 230)(211, 238, 274, 269, 233, 239)(212, 240, 273, 268, 232, 241)(220, 254, 287, 263, 278, 255)(222, 258, 281, 244, 234, 259)(226, 257, 286, 250, 270, 236)(228, 262, 231, 267, 276, 261)(237, 271, 266, 285, 249, 272)(246, 283, 288, 275, 251, 284)(289, 291, 298, 318, 305, 293)(290, 295, 310, 342, 314, 296)(292, 300, 322, 359, 327, 302)(294, 307, 297, 316, 338, 308)(299, 312, 345, 366, 358, 321)(301, 319, 334, 371, 362, 324)(303, 328, 335, 367, 361, 323)(304, 329, 351, 376, 363, 330)(306, 332, 309, 340, 369, 333)(311, 336, 372, 356, 325, 344)(313, 346, 377, 365, 331, 347)(315, 341, 317, 353, 370, 339)(320, 355, 378, 364, 379, 357)(326, 343, 380, 349, 381, 350)(337, 373, 384, 382, 348, 374)(352, 375, 354, 368, 360, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2329
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2327 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 6, 6})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1^2 * Y3 * Y2^2, Y3^-1 * Y1^-2 * Y2^-2, Y1^-2 * Y2^-2 * Y3^-1, Y2^-2 * Y3^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y2^6, Y1^6, (Y2 * Y1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 4, 100, 17, 113, 7, 103)(2, 98, 9, 105, 34, 130, 11, 107)(3, 99, 5, 101, 21, 117, 15, 111)(6, 102, 25, 121, 72, 168, 27, 123)(8, 104, 26, 122, 74, 170, 33, 129)(10, 106, 38, 134, 88, 184, 40, 136)(12, 108, 44, 140, 42, 138, 43, 139)(13, 109, 14, 110, 49, 145, 48, 144)(16, 112, 18, 114, 59, 155, 51, 147)(19, 115, 62, 158, 92, 188, 45, 141)(20, 116, 22, 118, 55, 151, 66, 162)(23, 119, 35, 131, 73, 169, 70, 166)(24, 120, 63, 159, 90, 186, 41, 137)(28, 124, 69, 165, 83, 179, 77, 173)(29, 125, 30, 126, 64, 160, 79, 175)(31, 127, 39, 135, 89, 185, 68, 164)(32, 128, 80, 176, 95, 191, 81, 177)(36, 132, 75, 171, 61, 157, 76, 172)(37, 133, 50, 146, 65, 161, 82, 178)(46, 142, 47, 143, 86, 182, 71, 167)(52, 148, 84, 180, 85, 181, 94, 190)(53, 149, 54, 150, 87, 183, 78, 174)(56, 152, 57, 153, 93, 189, 91, 187)(58, 154, 60, 156, 96, 192, 67, 163)(193, 194, 200, 223, 214, 197)(195, 204, 219, 267, 242, 206)(196, 198, 216, 263, 252, 210)(199, 220, 232, 239, 205, 222)(201, 202, 229, 279, 251, 227)(203, 233, 273, 245, 221, 235)(207, 244, 284, 266, 238, 246)(208, 236, 237, 280, 272, 247)(209, 211, 253, 281, 270, 249)(212, 256, 262, 254, 255, 257)(213, 215, 261, 268, 287, 250)(217, 218, 224, 240, 285, 265)(225, 274, 288, 248, 234, 269)(226, 228, 278, 258, 283, 277)(230, 231, 259, 271, 286, 264)(241, 243, 276, 275, 282, 260)(289, 291, 301, 334, 314, 294)(290, 295, 317, 366, 327, 298)(292, 304, 310, 356, 351, 307)(293, 308, 338, 324, 297, 311)(296, 299, 330, 379, 343, 320)(300, 303, 341, 383, 349, 333)(302, 325, 328, 365, 332, 339)(305, 344, 348, 374, 364, 316)(306, 346, 368, 326, 313, 323)(309, 355, 319, 321, 371, 340)(312, 315, 331, 367, 384, 353)(318, 336, 369, 378, 357, 358)(322, 372, 347, 342, 359, 329)(335, 376, 380, 382, 352, 354)(337, 377, 363, 360, 373, 381)(345, 375, 370, 362, 350, 361)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2328
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2328 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 6, 6})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y2^-1 * Y1^-2 * Y2 * Y1 * Y2^-1, Y1^6, (Y2 * Y1^-1)^3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2^-2, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 193, 289)(2, 98, 194, 290)(3, 99, 195, 291)(4, 100, 196, 292)(5, 101, 197, 293)(6, 102, 198, 294)(7, 103, 199, 295)(8, 104, 200, 296)(9, 105, 201, 297)(10, 106, 202, 298)(11, 107, 203, 299)(12, 108, 204, 300)(13, 109, 205, 301)(14, 110, 206, 302)(15, 111, 207, 303)(16, 112, 208, 304)(17, 113, 209, 305)(18, 114, 210, 306)(19, 115, 211, 307)(20, 116, 212, 308)(21, 117, 213, 309)(22, 118, 214, 310)(23, 119, 215, 311)(24, 120, 216, 312)(25, 121, 217, 313)(26, 122, 218, 314)(27, 123, 219, 315)(28, 124, 220, 316)(29, 125, 221, 317)(30, 126, 222, 318)(31, 127, 223, 319)(32, 128, 224, 320)(33, 129, 225, 321)(34, 130, 226, 322)(35, 131, 227, 323)(36, 132, 228, 324)(37, 133, 229, 325)(38, 134, 230, 326)(39, 135, 231, 327)(40, 136, 232, 328)(41, 137, 233, 329)(42, 138, 234, 330)(43, 139, 235, 331)(44, 140, 236, 332)(45, 141, 237, 333)(46, 142, 238, 334)(47, 143, 239, 335)(48, 144, 240, 336)(49, 145, 241, 337)(50, 146, 242, 338)(51, 147, 243, 339)(52, 148, 244, 340)(53, 149, 245, 341)(54, 150, 246, 342)(55, 151, 247, 343)(56, 152, 248, 344)(57, 153, 249, 345)(58, 154, 250, 346)(59, 155, 251, 347)(60, 156, 252, 348)(61, 157, 253, 349)(62, 158, 254, 350)(63, 159, 255, 351)(64, 160, 256, 352)(65, 161, 257, 353)(66, 162, 258, 354)(67, 163, 259, 355)(68, 164, 260, 356)(69, 165, 261, 357)(70, 166, 262, 358)(71, 167, 263, 359)(72, 168, 264, 360)(73, 169, 265, 361)(74, 170, 266, 362)(75, 171, 267, 363)(76, 172, 268, 364)(77, 173, 269, 365)(78, 174, 270, 366)(79, 175, 271, 367)(80, 176, 272, 368)(81, 177, 273, 369)(82, 178, 274, 370)(83, 179, 275, 371)(84, 180, 276, 372)(85, 181, 277, 373)(86, 182, 278, 374)(87, 183, 279, 375)(88, 184, 280, 376)(89, 185, 281, 377)(90, 186, 282, 378)(91, 187, 283, 379)(92, 188, 284, 380)(93, 189, 285, 381)(94, 190, 286, 382)(95, 191, 287, 383)(96, 192, 288, 384)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 111)(6, 114)(7, 117)(8, 120)(9, 123)(10, 125)(11, 99)(12, 118)(13, 100)(14, 133)(15, 122)(16, 101)(17, 139)(18, 109)(19, 142)(20, 144)(21, 147)(22, 149)(23, 103)(24, 146)(25, 104)(26, 156)(27, 157)(28, 158)(29, 160)(30, 162)(31, 106)(32, 107)(33, 112)(34, 161)(35, 108)(36, 166)(37, 113)(38, 110)(39, 171)(40, 145)(41, 143)(42, 163)(43, 169)(44, 130)(45, 175)(46, 178)(47, 115)(48, 177)(49, 116)(50, 183)(51, 184)(52, 138)(53, 186)(54, 187)(55, 119)(56, 121)(57, 176)(58, 174)(59, 188)(60, 129)(61, 128)(62, 191)(63, 124)(64, 181)(65, 190)(66, 185)(67, 126)(68, 127)(69, 132)(70, 135)(71, 182)(72, 131)(73, 134)(74, 189)(75, 180)(76, 136)(77, 137)(78, 140)(79, 170)(80, 141)(81, 172)(82, 173)(83, 155)(84, 165)(85, 164)(86, 159)(87, 152)(88, 151)(89, 148)(90, 168)(91, 192)(92, 150)(93, 153)(94, 154)(95, 167)(96, 179)(193, 291)(194, 295)(195, 298)(196, 300)(197, 289)(198, 307)(199, 310)(200, 290)(201, 316)(202, 318)(203, 312)(204, 322)(205, 319)(206, 292)(207, 328)(208, 329)(209, 293)(210, 332)(211, 297)(212, 294)(213, 340)(214, 342)(215, 336)(216, 345)(217, 346)(218, 296)(219, 341)(220, 338)(221, 353)(222, 305)(223, 334)(224, 355)(225, 299)(226, 359)(227, 303)(228, 301)(229, 344)(230, 343)(231, 302)(232, 335)(233, 351)(234, 304)(235, 347)(236, 309)(237, 306)(238, 371)(239, 367)(240, 372)(241, 373)(242, 308)(243, 315)(244, 369)(245, 317)(246, 314)(247, 380)(248, 311)(249, 366)(250, 377)(251, 313)(252, 374)(253, 381)(254, 326)(255, 376)(256, 375)(257, 370)(258, 368)(259, 378)(260, 325)(261, 320)(262, 321)(263, 327)(264, 383)(265, 323)(266, 324)(267, 330)(268, 379)(269, 331)(270, 358)(271, 361)(272, 360)(273, 333)(274, 339)(275, 362)(276, 356)(277, 384)(278, 337)(279, 354)(280, 363)(281, 365)(282, 364)(283, 357)(284, 349)(285, 350)(286, 348)(287, 352)(288, 382)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2327
Transitivity :: VT+
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2329 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 6, 6})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1^2 * Y3 * Y2^2, Y3^-1 * Y1^-2 * Y2^-2, Y1^-2 * Y2^-2 * Y3^-1, Y2^-2 * Y3^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y3, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y2^6, Y1^6, (Y2 * Y1^-1)^3 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 17, 113, 209, 305, 7, 103, 199, 295)(2, 98, 194, 290, 9, 105, 201, 297, 34, 130, 226, 322, 11, 107, 203, 299)(3, 99, 195, 291, 5, 101, 197, 293, 21, 117, 213, 309, 15, 111, 207, 303)(6, 102, 198, 294, 25, 121, 217, 313, 72, 168, 264, 360, 27, 123, 219, 315)(8, 104, 200, 296, 26, 122, 218, 314, 74, 170, 266, 362, 33, 129, 225, 321)(10, 106, 202, 298, 38, 134, 230, 326, 88, 184, 280, 376, 40, 136, 232, 328)(12, 108, 204, 300, 44, 140, 236, 332, 42, 138, 234, 330, 43, 139, 235, 331)(13, 109, 205, 301, 14, 110, 206, 302, 49, 145, 241, 337, 48, 144, 240, 336)(16, 112, 208, 304, 18, 114, 210, 306, 59, 155, 251, 347, 51, 147, 243, 339)(19, 115, 211, 307, 62, 158, 254, 350, 92, 188, 284, 380, 45, 141, 237, 333)(20, 116, 212, 308, 22, 118, 214, 310, 55, 151, 247, 343, 66, 162, 258, 354)(23, 119, 215, 311, 35, 131, 227, 323, 73, 169, 265, 361, 70, 166, 262, 358)(24, 120, 216, 312, 63, 159, 255, 351, 90, 186, 282, 378, 41, 137, 233, 329)(28, 124, 220, 316, 69, 165, 261, 357, 83, 179, 275, 371, 77, 173, 269, 365)(29, 125, 221, 317, 30, 126, 222, 318, 64, 160, 256, 352, 79, 175, 271, 367)(31, 127, 223, 319, 39, 135, 231, 327, 89, 185, 281, 377, 68, 164, 260, 356)(32, 128, 224, 320, 80, 176, 272, 368, 95, 191, 287, 383, 81, 177, 273, 369)(36, 132, 228, 324, 75, 171, 267, 363, 61, 157, 253, 349, 76, 172, 268, 364)(37, 133, 229, 325, 50, 146, 242, 338, 65, 161, 257, 353, 82, 178, 274, 370)(46, 142, 238, 334, 47, 143, 239, 335, 86, 182, 278, 374, 71, 167, 263, 359)(52, 148, 244, 340, 84, 180, 276, 372, 85, 181, 277, 373, 94, 190, 286, 382)(53, 149, 245, 341, 54, 150, 246, 342, 87, 183, 279, 375, 78, 174, 270, 366)(56, 152, 248, 344, 57, 153, 249, 345, 93, 189, 285, 381, 91, 187, 283, 379)(58, 154, 250, 346, 60, 156, 252, 348, 96, 192, 288, 384, 67, 163, 259, 355)
	L = (1, 98)(2, 104)(3, 108)(4, 102)(5, 97)(6, 120)(7, 124)(8, 127)(9, 106)(10, 133)(11, 137)(12, 123)(13, 126)(14, 99)(15, 148)(16, 140)(17, 115)(18, 100)(19, 157)(20, 160)(21, 119)(22, 101)(23, 165)(24, 167)(25, 122)(26, 128)(27, 171)(28, 136)(29, 139)(30, 103)(31, 118)(32, 144)(33, 178)(34, 132)(35, 105)(36, 182)(37, 183)(38, 135)(39, 163)(40, 143)(41, 177)(42, 173)(43, 107)(44, 141)(45, 184)(46, 150)(47, 109)(48, 189)(49, 147)(50, 110)(51, 180)(52, 188)(53, 125)(54, 111)(55, 112)(56, 138)(57, 113)(58, 117)(59, 131)(60, 114)(61, 185)(62, 159)(63, 161)(64, 166)(65, 116)(66, 187)(67, 175)(68, 145)(69, 172)(70, 158)(71, 156)(72, 134)(73, 121)(74, 142)(75, 146)(76, 191)(77, 129)(78, 153)(79, 190)(80, 151)(81, 149)(82, 192)(83, 186)(84, 179)(85, 130)(86, 162)(87, 155)(88, 176)(89, 174)(90, 164)(91, 181)(92, 170)(93, 169)(94, 168)(95, 154)(96, 152)(193, 291)(194, 295)(195, 301)(196, 304)(197, 308)(198, 289)(199, 317)(200, 299)(201, 311)(202, 290)(203, 330)(204, 303)(205, 334)(206, 325)(207, 341)(208, 310)(209, 344)(210, 346)(211, 292)(212, 338)(213, 355)(214, 356)(215, 293)(216, 315)(217, 323)(218, 294)(219, 331)(220, 305)(221, 366)(222, 336)(223, 321)(224, 296)(225, 371)(226, 372)(227, 306)(228, 297)(229, 328)(230, 313)(231, 298)(232, 365)(233, 322)(234, 379)(235, 367)(236, 339)(237, 300)(238, 314)(239, 376)(240, 369)(241, 377)(242, 324)(243, 302)(244, 309)(245, 383)(246, 359)(247, 320)(248, 348)(249, 375)(250, 368)(251, 342)(252, 374)(253, 333)(254, 361)(255, 307)(256, 354)(257, 312)(258, 335)(259, 319)(260, 351)(261, 358)(262, 318)(263, 329)(264, 373)(265, 345)(266, 350)(267, 360)(268, 316)(269, 332)(270, 327)(271, 384)(272, 326)(273, 378)(274, 362)(275, 340)(276, 347)(277, 381)(278, 364)(279, 370)(280, 380)(281, 363)(282, 357)(283, 343)(284, 382)(285, 337)(286, 352)(287, 349)(288, 353)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2326
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2330 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, (T2^-2 * T1^2 * T2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 55, 24, 8)(4, 12, 34, 67, 38, 13)(6, 17, 47, 85, 51, 18)(9, 26, 64, 45, 23, 27)(11, 31, 69, 44, 36, 32)(14, 40, 21, 30, 68, 41)(15, 42, 33, 28, 66, 43)(19, 53, 88, 60, 50, 54)(22, 58, 48, 56, 89, 59)(25, 61, 91, 83, 86, 62)(35, 74, 95, 78, 49, 71)(37, 76, 46, 73, 94, 77)(39, 79, 84, 65, 93, 80)(52, 70, 96, 81, 75, 87)(57, 90, 72, 63, 92, 82)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 148, 117)(104, 118, 153, 119)(106, 124, 161, 126)(108, 129, 168, 131)(109, 132, 171, 133)(112, 140, 179, 141)(113, 142, 180, 144)(114, 145, 182, 146)(116, 122, 159, 152)(120, 137, 177, 156)(123, 150, 172, 138)(125, 163, 181, 151)(127, 130, 169, 166)(128, 136, 154, 167)(134, 174, 178, 139)(143, 149, 157, 170)(147, 155, 176, 173)(158, 183, 175, 186)(160, 162, 190, 184)(164, 165, 191, 185)(187, 188, 189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2331
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.2331 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, (T2^-2 * T1^2 * T2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 55, 151, 24, 120, 8, 104)(4, 100, 12, 108, 34, 130, 67, 163, 38, 134, 13, 109)(6, 102, 17, 113, 47, 143, 85, 181, 51, 147, 18, 114)(9, 105, 26, 122, 64, 160, 45, 141, 23, 119, 27, 123)(11, 107, 31, 127, 69, 165, 44, 140, 36, 132, 32, 128)(14, 110, 40, 136, 21, 117, 30, 126, 68, 164, 41, 137)(15, 111, 42, 138, 33, 129, 28, 124, 66, 162, 43, 139)(19, 115, 53, 149, 88, 184, 60, 156, 50, 146, 54, 150)(22, 118, 58, 154, 48, 144, 56, 152, 89, 185, 59, 155)(25, 121, 61, 157, 91, 187, 83, 179, 86, 182, 62, 158)(35, 131, 74, 170, 95, 191, 78, 174, 49, 145, 71, 167)(37, 133, 76, 172, 46, 142, 73, 169, 94, 190, 77, 173)(39, 135, 79, 175, 84, 180, 65, 161, 93, 189, 80, 176)(52, 148, 70, 166, 96, 192, 81, 177, 75, 171, 87, 183)(57, 153, 90, 186, 72, 168, 63, 159, 92, 188, 82, 178)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 129)(13, 132)(14, 135)(15, 101)(16, 140)(17, 142)(18, 145)(19, 148)(20, 122)(21, 103)(22, 153)(23, 104)(24, 137)(25, 107)(26, 159)(27, 150)(28, 161)(29, 163)(30, 106)(31, 130)(32, 136)(33, 168)(34, 169)(35, 108)(36, 171)(37, 109)(38, 174)(39, 111)(40, 154)(41, 177)(42, 123)(43, 134)(44, 179)(45, 112)(46, 180)(47, 149)(48, 113)(49, 182)(50, 114)(51, 155)(52, 117)(53, 157)(54, 172)(55, 125)(56, 116)(57, 119)(58, 167)(59, 176)(60, 120)(61, 170)(62, 183)(63, 152)(64, 162)(65, 126)(66, 190)(67, 181)(68, 165)(69, 191)(70, 127)(71, 128)(72, 131)(73, 166)(74, 143)(75, 133)(76, 138)(77, 147)(78, 178)(79, 186)(80, 173)(81, 156)(82, 139)(83, 141)(84, 144)(85, 151)(86, 146)(87, 175)(88, 160)(89, 164)(90, 158)(91, 188)(92, 189)(93, 192)(94, 184)(95, 185)(96, 187)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2330
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.2332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^2 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 52, 148, 21, 117)(8, 104, 22, 118, 57, 153, 23, 119)(10, 106, 28, 124, 65, 161, 30, 126)(12, 108, 33, 129, 72, 168, 35, 131)(13, 109, 36, 132, 75, 171, 37, 133)(16, 112, 44, 140, 83, 179, 45, 141)(17, 113, 46, 142, 84, 180, 48, 144)(18, 114, 49, 145, 86, 182, 50, 146)(20, 116, 26, 122, 63, 159, 56, 152)(24, 120, 41, 137, 81, 177, 60, 156)(27, 123, 54, 150, 76, 172, 42, 138)(29, 125, 67, 163, 85, 181, 55, 151)(31, 127, 34, 130, 73, 169, 70, 166)(32, 128, 40, 136, 58, 154, 71, 167)(38, 134, 78, 174, 82, 178, 43, 139)(47, 143, 53, 149, 61, 157, 74, 170)(51, 147, 59, 155, 80, 176, 77, 173)(62, 158, 87, 183, 79, 175, 90, 186)(64, 160, 66, 162, 94, 190, 88, 184)(68, 164, 69, 165, 95, 191, 89, 185)(91, 187, 92, 188, 93, 189, 96, 192)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 247, 343, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 259, 355, 230, 326, 205, 301)(198, 294, 209, 305, 239, 335, 277, 373, 243, 339, 210, 306)(201, 297, 218, 314, 256, 352, 237, 333, 215, 311, 219, 315)(203, 299, 223, 319, 261, 357, 236, 332, 228, 324, 224, 320)(206, 302, 232, 328, 213, 309, 222, 318, 260, 356, 233, 329)(207, 303, 234, 330, 225, 321, 220, 316, 258, 354, 235, 331)(211, 307, 245, 341, 280, 376, 252, 348, 242, 338, 246, 342)(214, 310, 250, 346, 240, 336, 248, 344, 281, 377, 251, 347)(217, 313, 253, 349, 283, 379, 275, 371, 278, 374, 254, 350)(227, 323, 266, 362, 287, 383, 270, 366, 241, 337, 263, 359)(229, 325, 268, 364, 238, 334, 265, 361, 286, 382, 269, 365)(231, 327, 271, 367, 276, 372, 257, 353, 285, 381, 272, 368)(244, 340, 262, 358, 288, 384, 273, 369, 267, 363, 279, 375)(249, 345, 282, 378, 264, 360, 255, 351, 284, 380, 274, 370)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 222)(11, 217)(12, 227)(13, 229)(14, 197)(15, 231)(16, 237)(17, 240)(18, 242)(19, 199)(20, 248)(21, 244)(22, 200)(23, 249)(24, 252)(25, 201)(26, 212)(27, 234)(28, 202)(29, 247)(30, 257)(31, 262)(32, 263)(33, 204)(34, 223)(35, 264)(36, 205)(37, 267)(38, 235)(39, 206)(40, 224)(41, 216)(42, 268)(43, 274)(44, 208)(45, 275)(46, 209)(47, 266)(48, 276)(49, 210)(50, 278)(51, 269)(52, 211)(53, 239)(54, 219)(55, 277)(56, 255)(57, 214)(58, 232)(59, 243)(60, 273)(61, 245)(62, 282)(63, 218)(64, 280)(65, 220)(66, 256)(67, 221)(68, 281)(69, 260)(70, 265)(71, 250)(72, 225)(73, 226)(74, 253)(75, 228)(76, 246)(77, 272)(78, 230)(79, 279)(80, 251)(81, 233)(82, 270)(83, 236)(84, 238)(85, 259)(86, 241)(87, 254)(88, 286)(89, 287)(90, 271)(91, 288)(92, 283)(93, 284)(94, 258)(95, 261)(96, 285)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2333
Graph:: bipartite
	v = 40 e = 192 f = 112
	degree seq :: [ 8^24, 12^16 ]

E21.2333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-2, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3, (Y3 * Y2^-1)^4, Y3^-2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-2 * Y1^-3)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 47, 143, 31, 127, 11, 107)(5, 101, 15, 111, 40, 136, 46, 142, 44, 140, 16, 112)(7, 103, 20, 116, 51, 147, 37, 133, 32, 128, 22, 118)(8, 104, 23, 119, 56, 152, 36, 132, 43, 139, 24, 120)(10, 106, 28, 124, 62, 158, 84, 180, 66, 162, 29, 125)(12, 108, 33, 129, 27, 123, 19, 115, 50, 146, 35, 131)(14, 110, 38, 134, 41, 137, 18, 114, 48, 144, 39, 135)(21, 117, 53, 149, 91, 187, 75, 171, 93, 189, 54, 150)(26, 122, 60, 156, 89, 185, 71, 167, 67, 163, 55, 151)(30, 126, 68, 164, 64, 160, 59, 155, 88, 184, 70, 166)(34, 130, 72, 168, 87, 183, 49, 145, 86, 182, 73, 169)(42, 138, 80, 176, 95, 191, 82, 178, 65, 161, 58, 154)(45, 141, 76, 172, 63, 159, 78, 174, 85, 181, 83, 179)(52, 148, 90, 186, 77, 173, 69, 165, 94, 190, 79, 175)(57, 153, 96, 192, 74, 170, 81, 177, 92, 188, 61, 157)(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, 222)(12, 226)(13, 228)(14, 196)(15, 233)(16, 235)(17, 238)(18, 241)(19, 198)(20, 244)(21, 200)(22, 247)(23, 232)(24, 225)(25, 212)(26, 253)(27, 201)(28, 255)(29, 257)(30, 261)(31, 227)(32, 203)(33, 260)(34, 206)(35, 266)(36, 267)(37, 205)(38, 214)(39, 236)(40, 270)(41, 271)(42, 207)(43, 273)(44, 274)(45, 208)(46, 276)(47, 209)(48, 277)(49, 211)(50, 248)(51, 240)(52, 251)(53, 272)(54, 284)(55, 268)(56, 287)(57, 215)(58, 216)(59, 217)(60, 245)(61, 219)(62, 252)(63, 279)(64, 220)(65, 285)(66, 262)(67, 221)(68, 250)(69, 224)(70, 265)(71, 223)(72, 286)(73, 275)(74, 263)(75, 229)(76, 230)(77, 231)(78, 249)(79, 234)(80, 254)(81, 237)(82, 269)(83, 258)(84, 239)(85, 281)(86, 288)(87, 256)(88, 242)(89, 243)(90, 278)(91, 282)(92, 264)(93, 259)(94, 246)(95, 280)(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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2332
Graph:: simple bipartite
	v = 112 e = 192 f = 40
	degree seq :: [ 2^96, 12^16 ]

E21.2334 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^6, (T2^-3 * T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 45, 24, 8)(4, 12, 32, 61, 33, 13)(6, 17, 40, 68, 41, 18)(9, 25, 56, 39, 58, 26)(11, 30, 64, 38, 65, 31)(14, 34, 63, 29, 62, 35)(15, 36, 60, 27, 59, 37)(19, 42, 70, 54, 72, 43)(21, 47, 77, 53, 78, 48)(22, 49, 76, 46, 75, 50)(23, 51, 74, 44, 73, 52)(55, 81, 66, 86, 93, 82)(57, 83, 67, 85, 94, 84)(69, 87, 79, 92, 95, 88)(71, 89, 80, 91, 96, 90)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 136, 125)(112, 134, 137, 135)(116, 140, 128, 142)(120, 149, 129, 150)(121, 151, 126, 153)(122, 139, 127, 144)(124, 157, 164, 141)(130, 145, 132, 147)(131, 162, 133, 163)(138, 165, 143, 167)(146, 175, 148, 176)(152, 173, 160, 166)(154, 181, 161, 182)(155, 171, 158, 169)(156, 178, 159, 180)(168, 187, 174, 188)(170, 184, 172, 186)(177, 185, 179, 183)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2335
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.2335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^6, (T2^-3 * T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^-1 * T1^-1 * T2^2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 28, 124, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 45, 141, 24, 120, 8, 104)(4, 100, 12, 108, 32, 128, 61, 157, 33, 129, 13, 109)(6, 102, 17, 113, 40, 136, 68, 164, 41, 137, 18, 114)(9, 105, 25, 121, 56, 152, 39, 135, 58, 154, 26, 122)(11, 107, 30, 126, 64, 160, 38, 134, 65, 161, 31, 127)(14, 110, 34, 130, 63, 159, 29, 125, 62, 158, 35, 131)(15, 111, 36, 132, 60, 156, 27, 123, 59, 155, 37, 133)(19, 115, 42, 138, 70, 166, 54, 150, 72, 168, 43, 139)(21, 117, 47, 143, 77, 173, 53, 149, 78, 174, 48, 144)(22, 118, 49, 145, 76, 172, 46, 142, 75, 171, 50, 146)(23, 119, 51, 147, 74, 170, 44, 140, 73, 169, 52, 148)(55, 151, 81, 177, 66, 162, 86, 182, 93, 189, 82, 178)(57, 153, 83, 179, 67, 163, 85, 181, 94, 190, 84, 180)(69, 165, 87, 183, 79, 175, 92, 188, 95, 191, 88, 184)(71, 167, 89, 185, 80, 176, 91, 187, 96, 192, 90, 186)
	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, 134)(17, 107)(18, 111)(19, 108)(20, 140)(21, 103)(22, 109)(23, 104)(24, 149)(25, 151)(26, 139)(27, 136)(28, 157)(29, 106)(30, 153)(31, 144)(32, 142)(33, 150)(34, 145)(35, 162)(36, 147)(37, 163)(38, 137)(39, 112)(40, 125)(41, 135)(42, 165)(43, 127)(44, 128)(45, 124)(46, 116)(47, 167)(48, 122)(49, 132)(50, 175)(51, 130)(52, 176)(53, 129)(54, 120)(55, 126)(56, 173)(57, 121)(58, 181)(59, 171)(60, 178)(61, 164)(62, 169)(63, 180)(64, 166)(65, 182)(66, 133)(67, 131)(68, 141)(69, 143)(70, 152)(71, 138)(72, 187)(73, 155)(74, 184)(75, 158)(76, 186)(77, 160)(78, 188)(79, 148)(80, 146)(81, 185)(82, 159)(83, 183)(84, 156)(85, 161)(86, 154)(87, 177)(88, 172)(89, 179)(90, 170)(91, 174)(92, 168)(93, 191)(94, 192)(95, 190)(96, 189)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2334
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.2336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-1)^2, Y1^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2^-3 * Y1^-1 * Y2^-3, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2^-2 * Y1^-1 * Y3 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 40, 136, 29, 125)(16, 112, 38, 134, 41, 137, 39, 135)(20, 116, 44, 140, 32, 128, 46, 142)(24, 120, 53, 149, 33, 129, 54, 150)(25, 121, 55, 151, 30, 126, 57, 153)(26, 122, 43, 139, 31, 127, 48, 144)(28, 124, 61, 157, 68, 164, 45, 141)(34, 130, 49, 145, 36, 132, 51, 147)(35, 131, 66, 162, 37, 133, 67, 163)(42, 138, 69, 165, 47, 143, 71, 167)(50, 146, 79, 175, 52, 148, 80, 176)(56, 152, 77, 173, 64, 160, 70, 166)(58, 154, 85, 181, 65, 161, 86, 182)(59, 155, 75, 171, 62, 158, 73, 169)(60, 156, 82, 178, 63, 159, 84, 180)(72, 168, 91, 187, 78, 174, 92, 188)(74, 170, 88, 184, 76, 172, 90, 186)(81, 177, 89, 185, 83, 179, 87, 183)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 237, 333, 216, 312, 200, 296)(196, 292, 204, 300, 224, 320, 253, 349, 225, 321, 205, 301)(198, 294, 209, 305, 232, 328, 260, 356, 233, 329, 210, 306)(201, 297, 217, 313, 248, 344, 231, 327, 250, 346, 218, 314)(203, 299, 222, 318, 256, 352, 230, 326, 257, 353, 223, 319)(206, 302, 226, 322, 255, 351, 221, 317, 254, 350, 227, 323)(207, 303, 228, 324, 252, 348, 219, 315, 251, 347, 229, 325)(211, 307, 234, 330, 262, 358, 246, 342, 264, 360, 235, 331)(213, 309, 239, 335, 269, 365, 245, 341, 270, 366, 240, 336)(214, 310, 241, 337, 268, 364, 238, 334, 267, 363, 242, 338)(215, 311, 243, 339, 266, 362, 236, 332, 265, 361, 244, 340)(247, 343, 273, 369, 258, 354, 278, 374, 285, 381, 274, 370)(249, 345, 275, 371, 259, 355, 277, 373, 286, 382, 276, 372)(261, 357, 279, 375, 271, 367, 284, 380, 287, 383, 280, 376)(263, 359, 281, 377, 272, 368, 283, 379, 288, 384, 282, 378)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 221)(11, 209)(12, 211)(13, 214)(14, 197)(15, 210)(16, 231)(17, 201)(18, 206)(19, 199)(20, 238)(21, 204)(22, 200)(23, 205)(24, 246)(25, 249)(26, 240)(27, 202)(28, 237)(29, 232)(30, 247)(31, 235)(32, 236)(33, 245)(34, 243)(35, 259)(36, 241)(37, 258)(38, 208)(39, 233)(40, 219)(41, 230)(42, 263)(43, 218)(44, 212)(45, 260)(46, 224)(47, 261)(48, 223)(49, 226)(50, 272)(51, 228)(52, 271)(53, 216)(54, 225)(55, 217)(56, 262)(57, 222)(58, 278)(59, 265)(60, 276)(61, 220)(62, 267)(63, 274)(64, 269)(65, 277)(66, 227)(67, 229)(68, 253)(69, 234)(70, 256)(71, 239)(72, 284)(73, 254)(74, 282)(75, 251)(76, 280)(77, 248)(78, 283)(79, 242)(80, 244)(81, 279)(82, 252)(83, 281)(84, 255)(85, 250)(86, 257)(87, 275)(88, 266)(89, 273)(90, 268)(91, 264)(92, 270)(93, 288)(94, 287)(95, 285)(96, 286)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2337
Graph:: bipartite
	v = 40 e = 192 f = 112
	degree seq :: [ 8^24, 12^16 ]

E21.2337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = D8 x A4 (small group id <96, 197>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^6, (Y1^-1 * Y3^-1 * Y1^-2)^2, (Y1, Y3)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1 * Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 41, 137, 30, 126, 11, 107)(5, 101, 15, 111, 38, 134, 40, 136, 39, 135, 16, 112)(7, 103, 20, 116, 47, 143, 35, 131, 51, 147, 22, 118)(8, 104, 23, 119, 53, 149, 34, 130, 54, 150, 24, 120)(10, 106, 21, 117, 43, 139, 68, 164, 59, 155, 28, 124)(12, 108, 32, 128, 46, 142, 19, 115, 45, 141, 33, 129)(14, 110, 36, 132, 44, 140, 18, 114, 42, 138, 37, 133)(26, 122, 57, 153, 74, 170, 63, 159, 77, 173, 50, 146)(27, 123, 58, 154, 73, 169, 62, 158, 80, 176, 52, 148)(29, 125, 60, 156, 82, 178, 56, 152, 69, 165, 61, 157)(31, 127, 64, 160, 81, 177, 55, 151, 70, 166, 65, 161)(48, 144, 75, 171, 66, 162, 79, 175, 87, 183, 71, 167)(49, 145, 76, 172, 67, 163, 78, 174, 88, 184, 72, 168)(83, 179, 90, 186, 85, 181, 92, 188, 95, 191, 93, 189)(84, 180, 89, 185, 86, 182, 91, 187, 96, 192, 94, 190)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 221)(12, 220)(13, 226)(14, 196)(15, 219)(16, 223)(17, 232)(18, 235)(19, 198)(20, 240)(21, 200)(22, 242)(23, 241)(24, 244)(25, 247)(26, 207)(27, 201)(28, 206)(29, 208)(30, 254)(31, 203)(32, 252)(33, 258)(34, 251)(35, 205)(36, 256)(37, 259)(38, 248)(39, 255)(40, 260)(41, 209)(42, 261)(43, 211)(44, 263)(45, 262)(46, 264)(47, 265)(48, 215)(49, 212)(50, 216)(51, 270)(52, 214)(53, 266)(54, 271)(55, 230)(56, 217)(57, 275)(58, 276)(59, 227)(60, 228)(61, 277)(62, 231)(63, 222)(64, 224)(65, 278)(66, 229)(67, 225)(68, 233)(69, 237)(70, 234)(71, 238)(72, 236)(73, 245)(74, 239)(75, 281)(76, 282)(77, 283)(78, 246)(79, 243)(80, 284)(81, 285)(82, 286)(83, 250)(84, 249)(85, 257)(86, 253)(87, 287)(88, 288)(89, 268)(90, 267)(91, 272)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2336
Graph:: simple bipartite
	v = 112 e = 192 f = 40
	degree seq :: [ 2^96, 12^16 ]

E21.2338 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 6, 6})
Quotient :: edge
Aut^+ = C2 x C2 x SL(2,3) (small group id <96, 198>)
Aut   = $<192, 1475>$ (small group id <192, 1475>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^6, T1^-2 * T2 * T1^-2 * T2^-1, T2^6, T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, T2^-3 * T1 * T2^-3 * T1^-1, (T2^-1 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 45, 24, 8)(4, 12, 32, 61, 33, 13)(6, 17, 40, 68, 41, 18)(9, 25, 56, 38, 58, 26)(11, 30, 64, 39, 65, 31)(14, 34, 60, 27, 59, 35)(15, 36, 63, 29, 62, 37)(19, 42, 70, 53, 72, 43)(21, 47, 77, 54, 78, 48)(22, 49, 74, 44, 73, 50)(23, 51, 76, 46, 75, 52)(55, 81, 67, 85, 93, 82)(57, 83, 66, 86, 94, 84)(69, 87, 80, 91, 95, 88)(71, 89, 79, 92, 96, 90)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 136, 125)(112, 134, 137, 135)(116, 140, 128, 142)(120, 149, 129, 150)(121, 151, 126, 153)(122, 144, 127, 139)(124, 141, 164, 157)(130, 147, 132, 145)(131, 162, 133, 163)(138, 165, 143, 167)(146, 175, 148, 176)(152, 173, 160, 166)(154, 181, 161, 182)(155, 171, 158, 169)(156, 180, 159, 178)(168, 187, 174, 188)(170, 186, 172, 184)(177, 183, 179, 185)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2339
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 16
	degree seq :: [ 4^24, 6^16 ]

E21.2339 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 6, 6})
Quotient :: loop
Aut^+ = C2 x C2 x SL(2,3) (small group id <96, 198>)
Aut   = $<192, 1475>$ (small group id <192, 1475>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^6, T1^-2 * T2 * T1^-2 * T2^-1, T2^6, T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, T2^-3 * T1 * T2^-3 * T1^-1, (T2^-1 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 28, 124, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 45, 141, 24, 120, 8, 104)(4, 100, 12, 108, 32, 128, 61, 157, 33, 129, 13, 109)(6, 102, 17, 113, 40, 136, 68, 164, 41, 137, 18, 114)(9, 105, 25, 121, 56, 152, 38, 134, 58, 154, 26, 122)(11, 107, 30, 126, 64, 160, 39, 135, 65, 161, 31, 127)(14, 110, 34, 130, 60, 156, 27, 123, 59, 155, 35, 131)(15, 111, 36, 132, 63, 159, 29, 125, 62, 158, 37, 133)(19, 115, 42, 138, 70, 166, 53, 149, 72, 168, 43, 139)(21, 117, 47, 143, 77, 173, 54, 150, 78, 174, 48, 144)(22, 118, 49, 145, 74, 170, 44, 140, 73, 169, 50, 146)(23, 119, 51, 147, 76, 172, 46, 142, 75, 171, 52, 148)(55, 151, 81, 177, 67, 163, 85, 181, 93, 189, 82, 178)(57, 153, 83, 179, 66, 162, 86, 182, 94, 190, 84, 180)(69, 165, 87, 183, 80, 176, 91, 187, 95, 191, 88, 184)(71, 167, 89, 185, 79, 175, 92, 188, 96, 192, 90, 186)
	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, 134)(17, 107)(18, 111)(19, 108)(20, 140)(21, 103)(22, 109)(23, 104)(24, 149)(25, 151)(26, 144)(27, 136)(28, 141)(29, 106)(30, 153)(31, 139)(32, 142)(33, 150)(34, 147)(35, 162)(36, 145)(37, 163)(38, 137)(39, 112)(40, 125)(41, 135)(42, 165)(43, 122)(44, 128)(45, 164)(46, 116)(47, 167)(48, 127)(49, 130)(50, 175)(51, 132)(52, 176)(53, 129)(54, 120)(55, 126)(56, 173)(57, 121)(58, 181)(59, 171)(60, 180)(61, 124)(62, 169)(63, 178)(64, 166)(65, 182)(66, 133)(67, 131)(68, 157)(69, 143)(70, 152)(71, 138)(72, 187)(73, 155)(74, 186)(75, 158)(76, 184)(77, 160)(78, 188)(79, 148)(80, 146)(81, 183)(82, 156)(83, 185)(84, 159)(85, 161)(86, 154)(87, 179)(88, 170)(89, 177)(90, 172)(91, 174)(92, 168)(93, 191)(94, 192)(95, 190)(96, 189)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2338
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 40
	degree seq :: [ 12^16 ]

E21.2340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x SL(2,3) (small group id <96, 198>)
Aut   = $<192, 1475>$ (small group id <192, 1475>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, Y2^6, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-2)^2, Y2^-1 * Y3 * Y2^-3 * Y3^-1 * Y2^-2, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 40, 136, 29, 125)(16, 112, 38, 134, 41, 137, 39, 135)(20, 116, 44, 140, 32, 128, 46, 142)(24, 120, 53, 149, 33, 129, 54, 150)(25, 121, 55, 151, 30, 126, 57, 153)(26, 122, 48, 144, 31, 127, 43, 139)(28, 124, 45, 141, 68, 164, 61, 157)(34, 130, 51, 147, 36, 132, 49, 145)(35, 131, 66, 162, 37, 133, 67, 163)(42, 138, 69, 165, 47, 143, 71, 167)(50, 146, 79, 175, 52, 148, 80, 176)(56, 152, 77, 173, 64, 160, 70, 166)(58, 154, 85, 181, 65, 161, 86, 182)(59, 155, 75, 171, 62, 158, 73, 169)(60, 156, 84, 180, 63, 159, 82, 178)(72, 168, 91, 187, 78, 174, 92, 188)(74, 170, 90, 186, 76, 172, 88, 184)(81, 177, 87, 183, 83, 179, 89, 185)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 237, 333, 216, 312, 200, 296)(196, 292, 204, 300, 224, 320, 253, 349, 225, 321, 205, 301)(198, 294, 209, 305, 232, 328, 260, 356, 233, 329, 210, 306)(201, 297, 217, 313, 248, 344, 230, 326, 250, 346, 218, 314)(203, 299, 222, 318, 256, 352, 231, 327, 257, 353, 223, 319)(206, 302, 226, 322, 252, 348, 219, 315, 251, 347, 227, 323)(207, 303, 228, 324, 255, 351, 221, 317, 254, 350, 229, 325)(211, 307, 234, 330, 262, 358, 245, 341, 264, 360, 235, 331)(213, 309, 239, 335, 269, 365, 246, 342, 270, 366, 240, 336)(214, 310, 241, 337, 266, 362, 236, 332, 265, 361, 242, 338)(215, 311, 243, 339, 268, 364, 238, 334, 267, 363, 244, 340)(247, 343, 273, 369, 259, 355, 277, 373, 285, 381, 274, 370)(249, 345, 275, 371, 258, 354, 278, 374, 286, 382, 276, 372)(261, 357, 279, 375, 272, 368, 283, 379, 287, 383, 280, 376)(263, 359, 281, 377, 271, 367, 284, 380, 288, 384, 282, 378)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 213)(8, 215)(9, 195)(10, 221)(11, 209)(12, 211)(13, 214)(14, 197)(15, 210)(16, 231)(17, 201)(18, 206)(19, 199)(20, 238)(21, 204)(22, 200)(23, 205)(24, 246)(25, 249)(26, 235)(27, 202)(28, 253)(29, 232)(30, 247)(31, 240)(32, 236)(33, 245)(34, 241)(35, 259)(36, 243)(37, 258)(38, 208)(39, 233)(40, 219)(41, 230)(42, 263)(43, 223)(44, 212)(45, 220)(46, 224)(47, 261)(48, 218)(49, 228)(50, 272)(51, 226)(52, 271)(53, 216)(54, 225)(55, 217)(56, 262)(57, 222)(58, 278)(59, 265)(60, 274)(61, 260)(62, 267)(63, 276)(64, 269)(65, 277)(66, 227)(67, 229)(68, 237)(69, 234)(70, 256)(71, 239)(72, 284)(73, 254)(74, 280)(75, 251)(76, 282)(77, 248)(78, 283)(79, 242)(80, 244)(81, 281)(82, 255)(83, 279)(84, 252)(85, 250)(86, 257)(87, 273)(88, 268)(89, 275)(90, 266)(91, 264)(92, 270)(93, 288)(94, 287)(95, 285)(96, 286)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2341
Graph:: bipartite
	v = 40 e = 192 f = 112
	degree seq :: [ 8^24, 12^16 ]

E21.2341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x SL(2,3) (small group id <96, 198>)
Aut   = $<192, 1475>$ (small group id <192, 1475>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1^6, Y1^-1 * Y3^-1 * Y1^-3 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 40, 136, 30, 126, 11, 107)(5, 101, 15, 111, 38, 134, 41, 137, 39, 135, 16, 112)(7, 103, 20, 116, 47, 143, 34, 130, 51, 147, 22, 118)(8, 104, 23, 119, 53, 149, 35, 131, 54, 150, 24, 120)(10, 106, 21, 117, 43, 139, 68, 164, 59, 155, 28, 124)(12, 108, 32, 128, 44, 140, 18, 114, 42, 138, 33, 129)(14, 110, 36, 132, 46, 142, 19, 115, 45, 141, 37, 133)(26, 122, 57, 153, 74, 170, 62, 158, 80, 176, 52, 148)(27, 123, 58, 154, 73, 169, 63, 159, 77, 173, 50, 146)(29, 125, 60, 156, 81, 177, 55, 151, 70, 166, 61, 157)(31, 127, 64, 160, 82, 178, 56, 152, 69, 165, 65, 161)(48, 144, 75, 171, 67, 163, 78, 174, 88, 184, 72, 168)(49, 145, 76, 172, 66, 162, 79, 175, 87, 183, 71, 167)(83, 179, 89, 185, 86, 182, 92, 188, 96, 192, 94, 190)(84, 180, 90, 186, 85, 181, 91, 187, 95, 191, 93, 189)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 221)(12, 220)(13, 226)(14, 196)(15, 219)(16, 223)(17, 232)(18, 235)(19, 198)(20, 240)(21, 200)(22, 242)(23, 241)(24, 244)(25, 247)(26, 207)(27, 201)(28, 206)(29, 208)(30, 254)(31, 203)(32, 256)(33, 258)(34, 251)(35, 205)(36, 252)(37, 259)(38, 248)(39, 255)(40, 260)(41, 209)(42, 261)(43, 211)(44, 263)(45, 262)(46, 264)(47, 265)(48, 215)(49, 212)(50, 216)(51, 270)(52, 214)(53, 266)(54, 271)(55, 230)(56, 217)(57, 275)(58, 276)(59, 227)(60, 224)(61, 277)(62, 231)(63, 222)(64, 228)(65, 278)(66, 229)(67, 225)(68, 233)(69, 237)(70, 234)(71, 238)(72, 236)(73, 245)(74, 239)(75, 281)(76, 282)(77, 283)(78, 246)(79, 243)(80, 284)(81, 285)(82, 286)(83, 250)(84, 249)(85, 257)(86, 253)(87, 287)(88, 288)(89, 268)(90, 267)(91, 272)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2340
Graph:: simple bipartite
	v = 112 e = 192 f = 40
	degree seq :: [ 2^96, 12^16 ]

E21.2342 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, (T1 * T2^3)^2, (T2 * T1^-1)^4, T2^8, (T2^-3 * T1^-1)^2, T1^-2 * T2^2 * T1^-2 * T2^-1 * T1^-1 * T2^-1, T1 * T2 * T1 * T2 * T1^2 * T2^-2 * T1, T1 * T2^-1 * T1^-1 * T2^4 * T1^-1 * T2^-1, (T2^-2 * T1)^3, (T2^2 * T1^-1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 58, 41, 15, 5)(2, 6, 17, 44, 75, 52, 21, 7)(4, 11, 30, 67, 62, 57, 34, 12)(8, 22, 53, 40, 20, 49, 55, 23)(10, 27, 63, 82, 95, 70, 32, 28)(13, 35, 18, 46, 86, 96, 76, 36)(14, 37, 77, 66, 29, 24, 56, 38)(16, 42, 81, 51, 33, 71, 83, 43)(19, 47, 31, 69, 92, 54, 89, 48)(26, 60, 50, 90, 88, 80, 64, 61)(39, 78, 74, 59, 87, 93, 68, 79)(45, 84, 72, 94, 65, 91, 73, 85)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 129)(111, 135, 136)(113, 118, 141)(117, 146, 147)(119, 150, 133)(121, 153, 155)(123, 158, 144)(124, 160, 161)(126, 138, 164)(130, 168, 134)(131, 169, 170)(132, 165, 171)(137, 176, 140)(139, 178, 145)(142, 154, 166)(143, 183, 184)(148, 187, 163)(149, 152, 177)(151, 189, 190)(156, 191, 188)(157, 174, 179)(159, 180, 172)(162, 192, 167)(173, 181, 186)(175, 185, 182)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2344
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.2343 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (T2 * T1^-1)^2, (F * T1)^2, T2^8, (T2^-2 * T1^-1)^3, (T2^-1 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 20, 38, 26, 13, 5)(2, 6, 15, 30, 52, 32, 16, 7)(4, 10, 21, 40, 64, 42, 22, 11)(8, 17, 33, 56, 79, 57, 34, 18)(12, 23, 43, 67, 89, 68, 44, 24)(14, 27, 48, 71, 91, 72, 49, 28)(19, 35, 41, 65, 87, 81, 58, 36)(25, 45, 69, 90, 73, 50, 29, 46)(31, 53, 77, 94, 84, 62, 39, 54)(37, 59, 55, 76, 93, 88, 82, 60)(47, 61, 83, 80, 96, 85, 63, 70)(51, 74, 66, 86, 95, 78, 92, 75)(97, 98, 100)(99, 104, 103)(101, 106, 108)(102, 110, 107)(105, 115, 114)(109, 119, 121)(111, 125, 124)(112, 113, 127)(116, 133, 132)(117, 135, 120)(118, 123, 137)(122, 141, 143)(126, 147, 146)(128, 149, 151)(129, 140, 150)(130, 131, 144)(134, 157, 156)(136, 159, 158)(138, 161, 162)(139, 145, 142)(148, 172, 171)(152, 174, 164)(153, 167, 176)(154, 155, 173)(160, 182, 181)(163, 184, 168)(165, 180, 166)(169, 170, 183)(175, 192, 191)(177, 190, 186)(178, 179, 187)(185, 188, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2345
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.2344 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, (T1 * T2^3)^2, (T2 * T1^-1)^4, T2^8, (T2^-3 * T1^-1)^2, T1^-2 * T2^2 * T1^-2 * T2^-1 * T1^-1 * T2^-1, T1 * T2 * T1 * T2 * T1^2 * T2^-2 * T1, T1 * T2^-1 * T1^-1 * T2^4 * T1^-1 * T2^-1, (T2^-2 * T1)^3, (T2^2 * T1^-1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 25, 121, 58, 154, 41, 137, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 44, 140, 75, 171, 52, 148, 21, 117, 7, 103)(4, 100, 11, 107, 30, 126, 67, 163, 62, 158, 57, 153, 34, 130, 12, 108)(8, 104, 22, 118, 53, 149, 40, 136, 20, 116, 49, 145, 55, 151, 23, 119)(10, 106, 27, 123, 63, 159, 82, 178, 95, 191, 70, 166, 32, 128, 28, 124)(13, 109, 35, 131, 18, 114, 46, 142, 86, 182, 96, 192, 76, 172, 36, 132)(14, 110, 37, 133, 77, 173, 66, 162, 29, 125, 24, 120, 56, 152, 38, 134)(16, 112, 42, 138, 81, 177, 51, 147, 33, 129, 71, 167, 83, 179, 43, 139)(19, 115, 47, 143, 31, 127, 69, 165, 92, 188, 54, 150, 89, 185, 48, 144)(26, 122, 60, 156, 50, 146, 90, 186, 88, 184, 80, 176, 64, 160, 61, 157)(39, 135, 78, 174, 74, 170, 59, 155, 87, 183, 93, 189, 68, 164, 79, 175)(45, 141, 84, 180, 72, 168, 94, 190, 65, 161, 91, 187, 73, 169, 85, 181)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 120)(10, 99)(11, 125)(12, 128)(13, 110)(14, 101)(15, 135)(16, 114)(17, 118)(18, 102)(19, 116)(20, 103)(21, 146)(22, 141)(23, 150)(24, 122)(25, 153)(26, 105)(27, 158)(28, 160)(29, 127)(30, 138)(31, 107)(32, 129)(33, 108)(34, 168)(35, 169)(36, 165)(37, 119)(38, 130)(39, 136)(40, 111)(41, 176)(42, 164)(43, 178)(44, 137)(45, 113)(46, 154)(47, 183)(48, 123)(49, 139)(50, 147)(51, 117)(52, 187)(53, 152)(54, 133)(55, 189)(56, 177)(57, 155)(58, 166)(59, 121)(60, 191)(61, 174)(62, 144)(63, 180)(64, 161)(65, 124)(66, 192)(67, 148)(68, 126)(69, 171)(70, 142)(71, 162)(72, 134)(73, 170)(74, 131)(75, 132)(76, 159)(77, 181)(78, 179)(79, 185)(80, 140)(81, 149)(82, 145)(83, 157)(84, 172)(85, 186)(86, 175)(87, 184)(88, 143)(89, 182)(90, 173)(91, 163)(92, 156)(93, 190)(94, 151)(95, 188)(96, 167)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2342
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.2345 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (T2 * T1^-1)^2, (F * T1)^2, T2^8, (T2^-2 * T1^-1)^3, (T2^-1 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 20, 116, 38, 134, 26, 122, 13, 109, 5, 101)(2, 98, 6, 102, 15, 111, 30, 126, 52, 148, 32, 128, 16, 112, 7, 103)(4, 100, 10, 106, 21, 117, 40, 136, 64, 160, 42, 138, 22, 118, 11, 107)(8, 104, 17, 113, 33, 129, 56, 152, 79, 175, 57, 153, 34, 130, 18, 114)(12, 108, 23, 119, 43, 139, 67, 163, 89, 185, 68, 164, 44, 140, 24, 120)(14, 110, 27, 123, 48, 144, 71, 167, 91, 187, 72, 168, 49, 145, 28, 124)(19, 115, 35, 131, 41, 137, 65, 161, 87, 183, 81, 177, 58, 154, 36, 132)(25, 121, 45, 141, 69, 165, 90, 186, 73, 169, 50, 146, 29, 125, 46, 142)(31, 127, 53, 149, 77, 173, 94, 190, 84, 180, 62, 158, 39, 135, 54, 150)(37, 133, 59, 155, 55, 151, 76, 172, 93, 189, 88, 184, 82, 178, 60, 156)(47, 143, 61, 157, 83, 179, 80, 176, 96, 192, 85, 181, 63, 159, 70, 166)(51, 147, 74, 170, 66, 162, 86, 182, 95, 191, 78, 174, 92, 188, 75, 171)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 106)(6, 110)(7, 99)(8, 103)(9, 115)(10, 108)(11, 102)(12, 101)(13, 119)(14, 107)(15, 125)(16, 113)(17, 127)(18, 105)(19, 114)(20, 133)(21, 135)(22, 123)(23, 121)(24, 117)(25, 109)(26, 141)(27, 137)(28, 111)(29, 124)(30, 147)(31, 112)(32, 149)(33, 140)(34, 131)(35, 144)(36, 116)(37, 132)(38, 157)(39, 120)(40, 159)(41, 118)(42, 161)(43, 145)(44, 150)(45, 143)(46, 139)(47, 122)(48, 130)(49, 142)(50, 126)(51, 146)(52, 172)(53, 151)(54, 129)(55, 128)(56, 174)(57, 167)(58, 155)(59, 173)(60, 134)(61, 156)(62, 136)(63, 158)(64, 182)(65, 162)(66, 138)(67, 184)(68, 152)(69, 180)(70, 165)(71, 176)(72, 163)(73, 170)(74, 183)(75, 148)(76, 171)(77, 154)(78, 164)(79, 192)(80, 153)(81, 190)(82, 179)(83, 187)(84, 166)(85, 160)(86, 181)(87, 169)(88, 168)(89, 188)(90, 177)(91, 178)(92, 189)(93, 185)(94, 186)(95, 175)(96, 191)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2343
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.2346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^2 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2, Y3 * Y1^-1 * Y2 * Y3^-3 * Y2^-1 * Y3, Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-2 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^8, (Y2^-2 * Y1^-1 * Y2^-1)^2, Y1 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2^2 * Y3 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 22, 118, 45, 141)(21, 117, 50, 146, 51, 147)(23, 119, 54, 150, 37, 133)(25, 121, 57, 153, 59, 155)(27, 123, 62, 158, 48, 144)(28, 124, 64, 160, 65, 161)(30, 126, 42, 138, 68, 164)(34, 130, 72, 168, 38, 134)(35, 131, 73, 169, 74, 170)(36, 132, 69, 165, 75, 171)(41, 137, 80, 176, 44, 140)(43, 139, 82, 178, 49, 145)(46, 142, 58, 154, 70, 166)(47, 143, 87, 183, 88, 184)(52, 148, 91, 187, 67, 163)(53, 149, 56, 152, 81, 177)(55, 151, 93, 189, 94, 190)(60, 156, 95, 191, 92, 188)(61, 157, 78, 174, 83, 179)(63, 159, 84, 180, 76, 172)(66, 162, 96, 192, 71, 167)(77, 173, 85, 181, 90, 186)(79, 175, 89, 185, 86, 182)(193, 289, 195, 291, 201, 297, 217, 313, 250, 346, 233, 329, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 236, 332, 267, 363, 244, 340, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 259, 355, 254, 350, 249, 345, 226, 322, 204, 300)(200, 296, 214, 310, 245, 341, 232, 328, 212, 308, 241, 337, 247, 343, 215, 311)(202, 298, 219, 315, 255, 351, 274, 370, 287, 383, 262, 358, 224, 320, 220, 316)(205, 301, 227, 323, 210, 306, 238, 334, 278, 374, 288, 384, 268, 364, 228, 324)(206, 302, 229, 325, 269, 365, 258, 354, 221, 317, 216, 312, 248, 344, 230, 326)(208, 304, 234, 330, 273, 369, 243, 339, 225, 321, 263, 359, 275, 371, 235, 331)(211, 307, 239, 335, 223, 319, 261, 357, 284, 380, 246, 342, 281, 377, 240, 336)(218, 314, 252, 348, 242, 338, 282, 378, 280, 376, 272, 368, 256, 352, 253, 349)(231, 327, 270, 366, 266, 362, 251, 347, 279, 375, 285, 381, 260, 356, 271, 367)(237, 333, 276, 372, 264, 360, 286, 382, 257, 353, 283, 379, 265, 361, 277, 373)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 237)(18, 208)(19, 199)(20, 211)(21, 243)(22, 209)(23, 229)(24, 201)(25, 251)(26, 216)(27, 240)(28, 257)(29, 203)(30, 260)(31, 221)(32, 204)(33, 224)(34, 230)(35, 266)(36, 267)(37, 246)(38, 264)(39, 207)(40, 231)(41, 236)(42, 222)(43, 241)(44, 272)(45, 214)(46, 262)(47, 280)(48, 254)(49, 274)(50, 213)(51, 242)(52, 259)(53, 273)(54, 215)(55, 286)(56, 245)(57, 217)(58, 238)(59, 249)(60, 284)(61, 275)(62, 219)(63, 268)(64, 220)(65, 256)(66, 263)(67, 283)(68, 234)(69, 228)(70, 250)(71, 288)(72, 226)(73, 227)(74, 265)(75, 261)(76, 276)(77, 282)(78, 253)(79, 278)(80, 233)(81, 248)(82, 235)(83, 270)(84, 255)(85, 269)(86, 281)(87, 239)(88, 279)(89, 271)(90, 277)(91, 244)(92, 287)(93, 247)(94, 285)(95, 252)(96, 258)(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, 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 E21.2349
Graph:: bipartite
	v = 44 e = 192 f = 108
	degree seq :: [ 6^32, 16^12 ]

E21.2347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3^-2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^8, Y3 * R * Y2^-2 * R * Y1^-1 * Y2^-2 * Y3, Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2 * Y1, R * Y3 * Y2^3 * Y1 * R * Y2^3, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 7, 103)(5, 101, 10, 106, 12, 108)(6, 102, 14, 110, 11, 107)(9, 105, 19, 115, 18, 114)(13, 109, 23, 119, 25, 121)(15, 111, 29, 125, 28, 124)(16, 112, 17, 113, 31, 127)(20, 116, 37, 133, 36, 132)(21, 117, 39, 135, 24, 120)(22, 118, 27, 123, 41, 137)(26, 122, 45, 141, 47, 143)(30, 126, 51, 147, 50, 146)(32, 128, 53, 149, 55, 151)(33, 129, 44, 140, 54, 150)(34, 130, 35, 131, 48, 144)(38, 134, 61, 157, 60, 156)(40, 136, 63, 159, 62, 158)(42, 138, 65, 161, 66, 162)(43, 139, 49, 145, 46, 142)(52, 148, 76, 172, 75, 171)(56, 152, 78, 174, 68, 164)(57, 153, 71, 167, 80, 176)(58, 154, 59, 155, 77, 173)(64, 160, 86, 182, 85, 181)(67, 163, 88, 184, 72, 168)(69, 165, 84, 180, 70, 166)(73, 169, 74, 170, 87, 183)(79, 175, 96, 192, 95, 191)(81, 177, 94, 190, 90, 186)(82, 178, 83, 179, 91, 187)(89, 185, 92, 188, 93, 189)(193, 289, 195, 291, 201, 297, 212, 308, 230, 326, 218, 314, 205, 301, 197, 293)(194, 290, 198, 294, 207, 303, 222, 318, 244, 340, 224, 320, 208, 304, 199, 295)(196, 292, 202, 298, 213, 309, 232, 328, 256, 352, 234, 330, 214, 310, 203, 299)(200, 296, 209, 305, 225, 321, 248, 344, 271, 367, 249, 345, 226, 322, 210, 306)(204, 300, 215, 311, 235, 331, 259, 355, 281, 377, 260, 356, 236, 332, 216, 312)(206, 302, 219, 315, 240, 336, 263, 359, 283, 379, 264, 360, 241, 337, 220, 316)(211, 307, 227, 323, 233, 329, 257, 353, 279, 375, 273, 369, 250, 346, 228, 324)(217, 313, 237, 333, 261, 357, 282, 378, 265, 361, 242, 338, 221, 317, 238, 334)(223, 319, 245, 341, 269, 365, 286, 382, 276, 372, 254, 350, 231, 327, 246, 342)(229, 325, 251, 347, 247, 343, 268, 364, 285, 381, 280, 376, 274, 370, 252, 348)(239, 335, 253, 349, 275, 371, 272, 368, 288, 384, 277, 373, 255, 351, 262, 358)(243, 339, 266, 362, 258, 354, 278, 374, 287, 383, 270, 366, 284, 380, 267, 363)
	L = (1, 196)(2, 193)(3, 199)(4, 194)(5, 204)(6, 203)(7, 200)(8, 195)(9, 210)(10, 197)(11, 206)(12, 202)(13, 217)(14, 198)(15, 220)(16, 223)(17, 208)(18, 211)(19, 201)(20, 228)(21, 216)(22, 233)(23, 205)(24, 231)(25, 215)(26, 239)(27, 214)(28, 221)(29, 207)(30, 242)(31, 209)(32, 247)(33, 246)(34, 240)(35, 226)(36, 229)(37, 212)(38, 252)(39, 213)(40, 254)(41, 219)(42, 258)(43, 238)(44, 225)(45, 218)(46, 241)(47, 237)(48, 227)(49, 235)(50, 243)(51, 222)(52, 267)(53, 224)(54, 236)(55, 245)(56, 260)(57, 272)(58, 269)(59, 250)(60, 253)(61, 230)(62, 255)(63, 232)(64, 277)(65, 234)(66, 257)(67, 264)(68, 270)(69, 262)(70, 276)(71, 249)(72, 280)(73, 279)(74, 265)(75, 268)(76, 244)(77, 251)(78, 248)(79, 287)(80, 263)(81, 282)(82, 283)(83, 274)(84, 261)(85, 278)(86, 256)(87, 266)(88, 259)(89, 285)(90, 286)(91, 275)(92, 281)(93, 284)(94, 273)(95, 288)(96, 271)(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, 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 E21.2348
Graph:: bipartite
	v = 44 e = 192 f = 108
	degree seq :: [ 6^32, 16^12 ]

E21.2348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^8, Y3 * Y1 * Y3 * Y1 * Y3^2 * Y1^2 * Y3, (Y1 * Y3 * 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 * Y1^2 * Y3 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 14, 110, 27, 123, 23, 119, 11, 107, 4, 100)(3, 99, 9, 105, 19, 115, 35, 131, 57, 153, 34, 130, 18, 114, 8, 104)(5, 101, 10, 106, 21, 117, 39, 135, 62, 158, 46, 142, 26, 122, 13, 109)(7, 103, 17, 113, 32, 128, 54, 150, 76, 172, 53, 149, 31, 127, 16, 112)(12, 108, 22, 118, 41, 137, 65, 161, 87, 183, 68, 164, 45, 141, 25, 121)(15, 111, 30, 126, 47, 143, 69, 165, 90, 186, 74, 170, 51, 147, 29, 125)(20, 116, 38, 134, 52, 148, 75, 171, 91, 187, 83, 179, 61, 157, 37, 133)(24, 120, 42, 138, 66, 162, 89, 185, 82, 178, 60, 156, 36, 132, 44, 140)(28, 124, 50, 146, 58, 154, 79, 175, 96, 192, 88, 184, 72, 168, 49, 145)(33, 129, 56, 152, 73, 169, 92, 188, 86, 182, 64, 160, 40, 136, 55, 151)(43, 139, 48, 144, 71, 167, 77, 173, 93, 189, 85, 181, 63, 159, 67, 163)(59, 155, 81, 177, 70, 166, 84, 180, 94, 190, 78, 174, 95, 191, 80, 176)(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, 197)(4, 202)(5, 193)(6, 207)(7, 200)(8, 194)(9, 212)(10, 204)(11, 214)(12, 196)(13, 201)(14, 220)(15, 208)(16, 198)(17, 225)(18, 209)(19, 228)(20, 205)(21, 232)(22, 216)(23, 234)(24, 203)(25, 213)(26, 230)(27, 240)(28, 221)(29, 206)(30, 244)(31, 222)(32, 237)(33, 210)(34, 248)(35, 251)(36, 229)(37, 211)(38, 239)(39, 255)(40, 217)(41, 253)(42, 235)(43, 215)(44, 233)(45, 247)(46, 261)(47, 218)(48, 241)(49, 219)(50, 265)(51, 242)(52, 223)(53, 267)(54, 270)(55, 224)(56, 250)(57, 271)(58, 226)(59, 252)(60, 227)(61, 236)(62, 276)(63, 256)(64, 231)(65, 280)(66, 278)(67, 258)(68, 246)(69, 262)(70, 238)(71, 283)(72, 263)(73, 243)(74, 284)(75, 269)(76, 285)(77, 245)(78, 260)(79, 272)(80, 249)(81, 282)(82, 273)(83, 257)(84, 277)(85, 254)(86, 259)(87, 287)(88, 275)(89, 266)(90, 274)(91, 264)(92, 281)(93, 286)(94, 268)(95, 288)(96, 279)(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) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2347
Graph:: simple bipartite
	v = 108 e = 192 f = 44
	degree seq :: [ 2^96, 16^12 ]

E21.2349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3, (Y1^-1 * Y3^-1 * Y1^-2)^2, Y1^8, (Y1^-1 * Y3)^4, (Y1^-3 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y1^4 * Y3^-1 * Y1^-1, (Y1^2 * Y3^-1)^3, (Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 42, 138, 32, 128, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 57, 153, 70, 166, 63, 159, 27, 123, 10, 106)(5, 101, 14, 110, 36, 132, 76, 172, 53, 149, 43, 139, 40, 136, 15, 111)(7, 103, 19, 115, 48, 144, 33, 129, 28, 124, 65, 161, 51, 147, 20, 116)(8, 104, 21, 117, 52, 148, 91, 187, 83, 179, 79, 175, 39, 135, 22, 118)(11, 107, 29, 125, 25, 121, 60, 156, 93, 189, 96, 192, 69, 165, 30, 126)(13, 109, 34, 130, 74, 170, 78, 174, 37, 133, 17, 113, 45, 141, 35, 131)(18, 114, 46, 142, 62, 158, 95, 191, 94, 190, 73, 169, 55, 151, 47, 143)(24, 120, 58, 154, 82, 178, 64, 160, 41, 137, 80, 176, 85, 181, 59, 155)(26, 122, 61, 157, 38, 134, 68, 164, 84, 180, 50, 146, 88, 184, 54, 150)(31, 127, 71, 167, 67, 163, 44, 140, 81, 177, 89, 185, 77, 173, 72, 168)(49, 145, 86, 182, 75, 171, 90, 186, 56, 152, 92, 188, 66, 162, 87, 183)(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, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 229)(15, 231)(16, 235)(17, 210)(18, 198)(19, 241)(20, 242)(21, 245)(22, 247)(23, 211)(24, 217)(25, 201)(26, 220)(27, 254)(28, 202)(29, 258)(30, 260)(31, 225)(32, 265)(33, 204)(34, 212)(35, 232)(36, 250)(37, 230)(38, 206)(39, 233)(40, 267)(41, 207)(42, 271)(43, 236)(44, 208)(45, 274)(46, 275)(47, 263)(48, 237)(49, 215)(50, 226)(51, 281)(52, 278)(53, 246)(54, 213)(55, 248)(56, 214)(57, 224)(58, 269)(59, 283)(60, 234)(61, 273)(62, 256)(63, 284)(64, 219)(65, 251)(66, 259)(67, 221)(68, 262)(69, 244)(70, 222)(71, 277)(72, 280)(73, 249)(74, 279)(75, 227)(76, 255)(77, 228)(78, 288)(79, 252)(80, 270)(81, 286)(82, 240)(83, 276)(84, 238)(85, 239)(86, 261)(87, 287)(88, 285)(89, 282)(90, 243)(91, 257)(92, 268)(93, 264)(94, 253)(95, 266)(96, 272)(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) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2346
Graph:: simple bipartite
	v = 108 e = 192 f = 44
	degree seq :: [ 2^96, 16^12 ]

E21.2350 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^8, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 49, 35, 15, 5)(2, 6, 17, 38, 64, 43, 21, 7)(4, 11, 25, 51, 76, 58, 32, 12)(8, 22, 45, 72, 60, 33, 13, 23)(10, 26, 50, 77, 62, 34, 14, 27)(16, 36, 63, 86, 68, 41, 19, 37)(18, 39, 65, 87, 70, 42, 20, 40)(28, 54, 78, 95, 82, 56, 30, 55)(29, 44, 71, 92, 83, 57, 31, 47)(46, 73, 93, 84, 59, 75, 48, 74)(52, 79, 94, 85, 61, 81, 53, 80)(66, 88, 96, 91, 69, 90, 67, 89)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 113, 121)(107, 124, 125)(108, 126, 127)(111, 117, 128)(118, 140, 142)(119, 143, 144)(120, 141, 146)(122, 148, 132)(123, 149, 133)(129, 153, 155)(130, 157, 137)(131, 156, 158)(134, 159, 161)(135, 162, 150)(136, 163, 151)(138, 165, 152)(139, 164, 166)(145, 160, 172)(147, 174, 167)(154, 178, 179)(168, 188, 189)(169, 184, 175)(170, 185, 176)(171, 186, 177)(173, 190, 182)(180, 187, 181)(183, 192, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2355
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.2351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1, T2^-2 * T1 * T2 * T1^-1 * T2 * T1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 60, 41, 15, 5)(2, 6, 17, 45, 80, 52, 21, 7)(4, 11, 30, 66, 90, 69, 34, 12)(8, 22, 53, 87, 76, 50, 20, 23)(10, 27, 63, 93, 77, 68, 65, 28)(13, 35, 70, 44, 59, 89, 71, 36)(14, 37, 29, 54, 61, 91, 72, 38)(16, 42, 78, 94, 86, 67, 33, 43)(18, 26, 62, 92, 75, 40, 74, 47)(19, 48, 82, 64, 79, 95, 83, 49)(24, 57, 88, 73, 39, 32, 56, 58)(31, 46, 81, 96, 85, 51, 84, 55)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 129)(111, 135, 136)(113, 140, 142)(117, 132, 147)(118, 138, 150)(119, 151, 152)(121, 155, 157)(123, 126, 160)(124, 131, 139)(130, 145, 164)(133, 143, 144)(134, 146, 163)(137, 172, 173)(141, 175, 149)(148, 182, 171)(153, 174, 162)(154, 178, 166)(156, 176, 186)(158, 159, 177)(161, 180, 170)(165, 168, 181)(167, 169, 179)(183, 192, 184)(185, 190, 189)(187, 188, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2354
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.2352 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 57, 41, 15, 5)(2, 6, 17, 44, 81, 52, 21, 7)(4, 11, 30, 64, 90, 69, 34, 12)(8, 22, 53, 87, 76, 50, 54, 23)(10, 27, 61, 93, 77, 66, 32, 28)(13, 35, 18, 46, 56, 89, 70, 36)(14, 37, 71, 65, 58, 91, 72, 38)(16, 42, 78, 94, 86, 68, 79, 43)(19, 47, 31, 62, 80, 95, 84, 48)(20, 49, 60, 26, 59, 92, 75, 40)(24, 55, 88, 74, 39, 73, 63, 29)(33, 67, 83, 45, 82, 96, 85, 51)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 129)(111, 135, 136)(113, 118, 141)(117, 146, 147)(119, 143, 133)(121, 152, 154)(123, 142, 158)(124, 145, 139)(126, 138, 161)(130, 164, 134)(131, 163, 159)(132, 144, 162)(137, 172, 173)(140, 176, 155)(148, 182, 166)(149, 151, 174)(150, 169, 175)(153, 177, 186)(156, 167, 179)(157, 178, 160)(165, 170, 180)(168, 181, 171)(183, 191, 187)(184, 185, 192)(188, 190, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2356
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.2353 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^3, T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-2 * T2^-3 * T1^-1, T1 * T2^-1 * T1^-1 * T2^3 * T1 * T2^-1, T1^8, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 46, 45, 17, 5)(2, 7, 22, 55, 37, 64, 26, 8)(4, 12, 35, 48, 18, 47, 39, 14)(6, 19, 50, 38, 13, 33, 52, 20)(9, 27, 65, 87, 60, 24, 59, 28)(11, 32, 72, 77, 49, 25, 61, 34)(15, 40, 58, 23, 57, 85, 75, 41)(16, 42, 73, 36, 51, 78, 53, 21)(29, 68, 91, 76, 43, 66, 89, 69)(31, 70, 92, 74, 44, 67, 90, 71)(54, 81, 95, 88, 62, 79, 93, 82)(56, 83, 96, 86, 63, 80, 94, 84)(97, 98, 102, 114, 142, 133, 109, 100)(99, 105, 115, 145, 141, 156, 129, 107)(101, 111, 116, 147, 126, 153, 134, 112)(103, 117, 143, 137, 160, 132, 108, 119)(104, 120, 144, 128, 151, 123, 110, 121)(106, 125, 146, 140, 113, 139, 148, 127)(118, 150, 135, 159, 122, 158, 131, 152)(124, 162, 173, 166, 183, 164, 130, 163)(136, 170, 174, 172, 181, 167, 138, 165)(149, 175, 171, 179, 169, 177, 154, 176)(155, 182, 168, 184, 161, 180, 157, 178)(185, 189, 188, 192, 187, 191, 186, 190)
	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) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2357
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2354 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^8, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 9, 105, 24, 120, 49, 145, 35, 131, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 38, 134, 64, 160, 43, 139, 21, 117, 7, 103)(4, 100, 11, 107, 25, 121, 51, 147, 76, 172, 58, 154, 32, 128, 12, 108)(8, 104, 22, 118, 45, 141, 72, 168, 60, 156, 33, 129, 13, 109, 23, 119)(10, 106, 26, 122, 50, 146, 77, 173, 62, 158, 34, 130, 14, 110, 27, 123)(16, 112, 36, 132, 63, 159, 86, 182, 68, 164, 41, 137, 19, 115, 37, 133)(18, 114, 39, 135, 65, 161, 87, 183, 70, 166, 42, 138, 20, 116, 40, 136)(28, 124, 54, 150, 78, 174, 95, 191, 82, 178, 56, 152, 30, 126, 55, 151)(29, 125, 44, 140, 71, 167, 92, 188, 83, 179, 57, 153, 31, 127, 47, 143)(46, 142, 73, 169, 93, 189, 84, 180, 59, 155, 75, 171, 48, 144, 74, 170)(52, 148, 79, 175, 94, 190, 85, 181, 61, 157, 81, 177, 53, 149, 80, 176)(66, 162, 88, 184, 96, 192, 91, 187, 69, 165, 90, 186, 67, 163, 89, 185)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 113)(10, 99)(11, 124)(12, 126)(13, 110)(14, 101)(15, 117)(16, 114)(17, 121)(18, 102)(19, 116)(20, 103)(21, 128)(22, 140)(23, 143)(24, 141)(25, 105)(26, 148)(27, 149)(28, 125)(29, 107)(30, 127)(31, 108)(32, 111)(33, 153)(34, 157)(35, 156)(36, 122)(37, 123)(38, 159)(39, 162)(40, 163)(41, 130)(42, 165)(43, 164)(44, 142)(45, 146)(46, 118)(47, 144)(48, 119)(49, 160)(50, 120)(51, 174)(52, 132)(53, 133)(54, 135)(55, 136)(56, 138)(57, 155)(58, 178)(59, 129)(60, 158)(61, 137)(62, 131)(63, 161)(64, 172)(65, 134)(66, 150)(67, 151)(68, 166)(69, 152)(70, 139)(71, 147)(72, 188)(73, 184)(74, 185)(75, 186)(76, 145)(77, 190)(78, 167)(79, 169)(80, 170)(81, 171)(82, 179)(83, 154)(84, 187)(85, 180)(86, 173)(87, 192)(88, 175)(89, 176)(90, 177)(91, 181)(92, 189)(93, 168)(94, 182)(95, 183)(96, 191)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2351
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.2355 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1, T2^-2 * T1 * T2 * T1^-1 * T2 * T1, T2^-1 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 9, 105, 25, 121, 60, 156, 41, 137, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 45, 141, 80, 176, 52, 148, 21, 117, 7, 103)(4, 100, 11, 107, 30, 126, 66, 162, 90, 186, 69, 165, 34, 130, 12, 108)(8, 104, 22, 118, 53, 149, 87, 183, 76, 172, 50, 146, 20, 116, 23, 119)(10, 106, 27, 123, 63, 159, 93, 189, 77, 173, 68, 164, 65, 161, 28, 124)(13, 109, 35, 131, 70, 166, 44, 140, 59, 155, 89, 185, 71, 167, 36, 132)(14, 110, 37, 133, 29, 125, 54, 150, 61, 157, 91, 187, 72, 168, 38, 134)(16, 112, 42, 138, 78, 174, 94, 190, 86, 182, 67, 163, 33, 129, 43, 139)(18, 114, 26, 122, 62, 158, 92, 188, 75, 171, 40, 136, 74, 170, 47, 143)(19, 115, 48, 144, 82, 178, 64, 160, 79, 175, 95, 191, 83, 179, 49, 145)(24, 120, 57, 153, 88, 184, 73, 169, 39, 135, 32, 128, 56, 152, 58, 154)(31, 127, 46, 142, 81, 177, 96, 192, 85, 181, 51, 147, 84, 180, 55, 151)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 120)(10, 99)(11, 125)(12, 128)(13, 110)(14, 101)(15, 135)(16, 114)(17, 140)(18, 102)(19, 116)(20, 103)(21, 132)(22, 138)(23, 151)(24, 122)(25, 155)(26, 105)(27, 126)(28, 131)(29, 127)(30, 160)(31, 107)(32, 129)(33, 108)(34, 145)(35, 139)(36, 147)(37, 143)(38, 146)(39, 136)(40, 111)(41, 172)(42, 150)(43, 124)(44, 142)(45, 175)(46, 113)(47, 144)(48, 133)(49, 164)(50, 163)(51, 117)(52, 182)(53, 141)(54, 118)(55, 152)(56, 119)(57, 174)(58, 178)(59, 157)(60, 176)(61, 121)(62, 159)(63, 177)(64, 123)(65, 180)(66, 153)(67, 134)(68, 130)(69, 168)(70, 154)(71, 169)(72, 181)(73, 179)(74, 161)(75, 148)(76, 173)(77, 137)(78, 162)(79, 149)(80, 186)(81, 158)(82, 166)(83, 167)(84, 170)(85, 165)(86, 171)(87, 192)(88, 183)(89, 190)(90, 156)(91, 188)(92, 191)(93, 185)(94, 189)(95, 187)(96, 184)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2350
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.2356 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 9, 105, 25, 121, 57, 153, 41, 137, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 44, 140, 81, 177, 52, 148, 21, 117, 7, 103)(4, 100, 11, 107, 30, 126, 64, 160, 90, 186, 69, 165, 34, 130, 12, 108)(8, 104, 22, 118, 53, 149, 87, 183, 76, 172, 50, 146, 54, 150, 23, 119)(10, 106, 27, 123, 61, 157, 93, 189, 77, 173, 66, 162, 32, 128, 28, 124)(13, 109, 35, 131, 18, 114, 46, 142, 56, 152, 89, 185, 70, 166, 36, 132)(14, 110, 37, 133, 71, 167, 65, 161, 58, 154, 91, 187, 72, 168, 38, 134)(16, 112, 42, 138, 78, 174, 94, 190, 86, 182, 68, 164, 79, 175, 43, 139)(19, 115, 47, 143, 31, 127, 62, 158, 80, 176, 95, 191, 84, 180, 48, 144)(20, 116, 49, 145, 60, 156, 26, 122, 59, 155, 92, 188, 75, 171, 40, 136)(24, 120, 55, 151, 88, 184, 74, 170, 39, 135, 73, 169, 63, 159, 29, 125)(33, 129, 67, 163, 83, 179, 45, 141, 82, 178, 96, 192, 85, 181, 51, 147)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 120)(10, 99)(11, 125)(12, 128)(13, 110)(14, 101)(15, 135)(16, 114)(17, 118)(18, 102)(19, 116)(20, 103)(21, 146)(22, 141)(23, 143)(24, 122)(25, 152)(26, 105)(27, 142)(28, 145)(29, 127)(30, 138)(31, 107)(32, 129)(33, 108)(34, 164)(35, 163)(36, 144)(37, 119)(38, 130)(39, 136)(40, 111)(41, 172)(42, 161)(43, 124)(44, 176)(45, 113)(46, 158)(47, 133)(48, 162)(49, 139)(50, 147)(51, 117)(52, 182)(53, 151)(54, 169)(55, 174)(56, 154)(57, 177)(58, 121)(59, 140)(60, 167)(61, 178)(62, 123)(63, 131)(64, 157)(65, 126)(66, 132)(67, 159)(68, 134)(69, 170)(70, 148)(71, 179)(72, 181)(73, 175)(74, 180)(75, 168)(76, 173)(77, 137)(78, 149)(79, 150)(80, 155)(81, 186)(82, 160)(83, 156)(84, 165)(85, 171)(86, 166)(87, 191)(88, 185)(89, 192)(90, 153)(91, 183)(92, 190)(93, 188)(94, 189)(95, 187)(96, 184)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2352
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.2357 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-2 * T2^-1, (T1 * T2^-1 * T1^-1 * T2^-1)^2, T1^8, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 7, 103, 8, 104)(4, 100, 11, 107, 13, 109)(6, 102, 17, 113, 18, 114)(9, 105, 23, 119, 24, 120)(10, 106, 25, 121, 27, 123)(12, 108, 26, 122, 30, 126)(14, 110, 32, 128, 33, 129)(15, 111, 34, 130, 35, 131)(16, 112, 37, 133, 38, 134)(19, 115, 41, 137, 42, 138)(20, 116, 43, 139, 44, 140)(21, 117, 45, 141, 46, 142)(22, 118, 47, 143, 48, 144)(28, 124, 54, 150, 56, 152)(29, 125, 55, 151, 57, 153)(31, 127, 59, 155, 51, 147)(36, 132, 63, 159, 64, 160)(39, 135, 67, 163, 68, 164)(40, 136, 69, 165, 70, 166)(49, 145, 77, 173, 60, 156)(50, 146, 78, 174, 61, 157)(52, 148, 79, 175, 80, 176)(53, 149, 81, 177, 62, 158)(58, 154, 84, 180, 82, 178)(65, 161, 86, 182, 87, 183)(66, 162, 88, 184, 89, 185)(71, 167, 92, 188, 74, 170)(72, 168, 93, 189, 75, 171)(73, 169, 94, 190, 76, 172)(83, 179, 95, 191, 85, 181)(90, 186, 96, 192, 91, 187)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 115)(8, 117)(9, 113)(10, 99)(11, 116)(12, 100)(13, 118)(14, 114)(15, 101)(16, 132)(17, 135)(18, 136)(19, 133)(20, 103)(21, 134)(22, 104)(23, 142)(24, 145)(25, 144)(26, 106)(27, 146)(28, 107)(29, 108)(30, 111)(31, 109)(32, 156)(33, 137)(34, 157)(35, 139)(36, 125)(37, 161)(38, 162)(39, 159)(40, 160)(41, 166)(42, 167)(43, 129)(44, 168)(45, 170)(46, 163)(47, 171)(48, 119)(49, 164)(50, 120)(51, 121)(52, 122)(53, 123)(54, 131)(55, 124)(56, 169)(57, 127)(58, 126)(59, 172)(60, 165)(61, 128)(62, 130)(63, 148)(64, 154)(65, 151)(66, 153)(67, 185)(68, 186)(69, 187)(70, 182)(71, 183)(72, 138)(73, 140)(74, 184)(75, 141)(76, 143)(77, 188)(78, 189)(79, 147)(80, 149)(81, 190)(82, 150)(83, 152)(84, 158)(85, 155)(86, 178)(87, 179)(88, 181)(89, 175)(90, 176)(91, 180)(92, 192)(93, 173)(94, 174)(95, 177)(96, 191)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2353
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^8, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 17, 113, 25, 121)(11, 107, 28, 124, 29, 125)(12, 108, 30, 126, 31, 127)(15, 111, 21, 117, 32, 128)(22, 118, 44, 140, 46, 142)(23, 119, 47, 143, 48, 144)(24, 120, 45, 141, 50, 146)(26, 122, 52, 148, 36, 132)(27, 123, 53, 149, 37, 133)(33, 129, 57, 153, 59, 155)(34, 130, 61, 157, 41, 137)(35, 131, 60, 156, 62, 158)(38, 134, 63, 159, 65, 161)(39, 135, 66, 162, 54, 150)(40, 136, 67, 163, 55, 151)(42, 138, 69, 165, 56, 152)(43, 139, 68, 164, 70, 166)(49, 145, 64, 160, 76, 172)(51, 147, 78, 174, 71, 167)(58, 154, 82, 178, 83, 179)(72, 168, 92, 188, 93, 189)(73, 169, 88, 184, 79, 175)(74, 170, 89, 185, 80, 176)(75, 171, 90, 186, 81, 177)(77, 173, 94, 190, 86, 182)(84, 180, 91, 187, 85, 181)(87, 183, 96, 192, 95, 191)(193, 289, 195, 291, 201, 297, 216, 312, 241, 337, 227, 323, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 230, 326, 256, 352, 235, 331, 213, 309, 199, 295)(196, 292, 203, 299, 217, 313, 243, 339, 268, 364, 250, 346, 224, 320, 204, 300)(200, 296, 214, 310, 237, 333, 264, 360, 252, 348, 225, 321, 205, 301, 215, 311)(202, 298, 218, 314, 242, 338, 269, 365, 254, 350, 226, 322, 206, 302, 219, 315)(208, 304, 228, 324, 255, 351, 278, 374, 260, 356, 233, 329, 211, 307, 229, 325)(210, 306, 231, 327, 257, 353, 279, 375, 262, 358, 234, 330, 212, 308, 232, 328)(220, 316, 246, 342, 270, 366, 287, 383, 274, 370, 248, 344, 222, 318, 247, 343)(221, 317, 236, 332, 263, 359, 284, 380, 275, 371, 249, 345, 223, 319, 239, 335)(238, 334, 265, 361, 285, 381, 276, 372, 251, 347, 267, 363, 240, 336, 266, 362)(244, 340, 271, 367, 286, 382, 277, 373, 253, 349, 273, 369, 245, 341, 272, 368)(258, 354, 280, 376, 288, 384, 283, 379, 261, 357, 282, 378, 259, 355, 281, 377)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 217)(10, 200)(11, 221)(12, 223)(13, 197)(14, 205)(15, 224)(16, 198)(17, 201)(18, 208)(19, 199)(20, 211)(21, 207)(22, 238)(23, 240)(24, 242)(25, 209)(26, 228)(27, 229)(28, 203)(29, 220)(30, 204)(31, 222)(32, 213)(33, 251)(34, 233)(35, 254)(36, 244)(37, 245)(38, 257)(39, 246)(40, 247)(41, 253)(42, 248)(43, 262)(44, 214)(45, 216)(46, 236)(47, 215)(48, 239)(49, 268)(50, 237)(51, 263)(52, 218)(53, 219)(54, 258)(55, 259)(56, 261)(57, 225)(58, 275)(59, 249)(60, 227)(61, 226)(62, 252)(63, 230)(64, 241)(65, 255)(66, 231)(67, 232)(68, 235)(69, 234)(70, 260)(71, 270)(72, 285)(73, 271)(74, 272)(75, 273)(76, 256)(77, 278)(78, 243)(79, 280)(80, 281)(81, 282)(82, 250)(83, 274)(84, 277)(85, 283)(86, 286)(87, 287)(88, 265)(89, 266)(90, 267)(91, 276)(92, 264)(93, 284)(94, 269)(95, 288)(96, 279)(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, 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 E21.2364
Graph:: bipartite
	v = 44 e = 192 f = 108
	degree seq :: [ 6^32, 16^12 ]

E21.2359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, Y3^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^8, Y1 * Y2^-1 * R * Y2^-3 * R * Y2^-2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 22, 118, 45, 141)(21, 117, 50, 146, 51, 147)(23, 119, 47, 143, 37, 133)(25, 121, 56, 152, 58, 154)(27, 123, 46, 142, 62, 158)(28, 124, 49, 145, 43, 139)(30, 126, 42, 138, 65, 161)(34, 130, 68, 164, 38, 134)(35, 131, 67, 163, 63, 159)(36, 132, 48, 144, 66, 162)(41, 137, 76, 172, 77, 173)(44, 140, 80, 176, 59, 155)(52, 148, 86, 182, 70, 166)(53, 149, 55, 151, 78, 174)(54, 150, 73, 169, 79, 175)(57, 153, 81, 177, 90, 186)(60, 156, 71, 167, 83, 179)(61, 157, 82, 178, 64, 160)(69, 165, 74, 170, 84, 180)(72, 168, 85, 181, 75, 171)(87, 183, 95, 191, 91, 187)(88, 184, 89, 185, 96, 192)(92, 188, 94, 190, 93, 189)(193, 289, 195, 291, 201, 297, 217, 313, 249, 345, 233, 329, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 236, 332, 273, 369, 244, 340, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 256, 352, 282, 378, 261, 357, 226, 322, 204, 300)(200, 296, 214, 310, 245, 341, 279, 375, 268, 364, 242, 338, 246, 342, 215, 311)(202, 298, 219, 315, 253, 349, 285, 381, 269, 365, 258, 354, 224, 320, 220, 316)(205, 301, 227, 323, 210, 306, 238, 334, 248, 344, 281, 377, 262, 358, 228, 324)(206, 302, 229, 325, 263, 359, 257, 353, 250, 346, 283, 379, 264, 360, 230, 326)(208, 304, 234, 330, 270, 366, 286, 382, 278, 374, 260, 356, 271, 367, 235, 331)(211, 307, 239, 335, 223, 319, 254, 350, 272, 368, 287, 383, 276, 372, 240, 336)(212, 308, 241, 337, 252, 348, 218, 314, 251, 347, 284, 380, 267, 363, 232, 328)(216, 312, 247, 343, 280, 376, 266, 362, 231, 327, 265, 361, 255, 351, 221, 317)(225, 321, 259, 355, 275, 371, 237, 333, 274, 370, 288, 384, 277, 373, 243, 339)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 237)(18, 208)(19, 199)(20, 211)(21, 243)(22, 209)(23, 229)(24, 201)(25, 250)(26, 216)(27, 254)(28, 235)(29, 203)(30, 257)(31, 221)(32, 204)(33, 224)(34, 230)(35, 255)(36, 258)(37, 239)(38, 260)(39, 207)(40, 231)(41, 269)(42, 222)(43, 241)(44, 251)(45, 214)(46, 219)(47, 215)(48, 228)(49, 220)(50, 213)(51, 242)(52, 262)(53, 270)(54, 271)(55, 245)(56, 217)(57, 282)(58, 248)(59, 272)(60, 275)(61, 256)(62, 238)(63, 259)(64, 274)(65, 234)(66, 240)(67, 227)(68, 226)(69, 276)(70, 278)(71, 252)(72, 267)(73, 246)(74, 261)(75, 277)(76, 233)(77, 268)(78, 247)(79, 265)(80, 236)(81, 249)(82, 253)(83, 263)(84, 266)(85, 264)(86, 244)(87, 283)(88, 288)(89, 280)(90, 273)(91, 287)(92, 285)(93, 286)(94, 284)(95, 279)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 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 E21.2365
Graph:: bipartite
	v = 44 e = 192 f = 108
	degree seq :: [ 6^32, 16^12 ]

E21.2360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1, Y2^-2 * Y3^-1 * Y2 * Y3 * Y2 * Y1, Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-2, Y2^8, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1, Y1 * Y2 * R * Y2^3 * R * Y2^2, Y2 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y1 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 44, 140, 46, 142)(21, 117, 36, 132, 51, 147)(22, 118, 42, 138, 54, 150)(23, 119, 55, 151, 56, 152)(25, 121, 59, 155, 61, 157)(27, 123, 30, 126, 64, 160)(28, 124, 35, 131, 43, 139)(34, 130, 49, 145, 68, 164)(37, 133, 47, 143, 48, 144)(38, 134, 50, 146, 67, 163)(41, 137, 76, 172, 77, 173)(45, 141, 79, 175, 53, 149)(52, 148, 86, 182, 75, 171)(57, 153, 78, 174, 66, 162)(58, 154, 82, 178, 70, 166)(60, 156, 80, 176, 90, 186)(62, 158, 63, 159, 81, 177)(65, 161, 84, 180, 74, 170)(69, 165, 72, 168, 85, 181)(71, 167, 73, 169, 83, 179)(87, 183, 96, 192, 88, 184)(89, 185, 94, 190, 93, 189)(91, 187, 92, 188, 95, 191)(193, 289, 195, 291, 201, 297, 217, 313, 252, 348, 233, 329, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 237, 333, 272, 368, 244, 340, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 258, 354, 282, 378, 261, 357, 226, 322, 204, 300)(200, 296, 214, 310, 245, 341, 279, 375, 268, 364, 242, 338, 212, 308, 215, 311)(202, 298, 219, 315, 255, 351, 285, 381, 269, 365, 260, 356, 257, 353, 220, 316)(205, 301, 227, 323, 262, 358, 236, 332, 251, 347, 281, 377, 263, 359, 228, 324)(206, 302, 229, 325, 221, 317, 246, 342, 253, 349, 283, 379, 264, 360, 230, 326)(208, 304, 234, 330, 270, 366, 286, 382, 278, 374, 259, 355, 225, 321, 235, 331)(210, 306, 218, 314, 254, 350, 284, 380, 267, 363, 232, 328, 266, 362, 239, 335)(211, 307, 240, 336, 274, 370, 256, 352, 271, 367, 287, 383, 275, 371, 241, 337)(216, 312, 249, 345, 280, 376, 265, 361, 231, 327, 224, 320, 248, 344, 250, 346)(223, 319, 238, 334, 273, 369, 288, 384, 277, 373, 243, 339, 276, 372, 247, 343)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 238)(18, 208)(19, 199)(20, 211)(21, 243)(22, 246)(23, 248)(24, 201)(25, 253)(26, 216)(27, 256)(28, 235)(29, 203)(30, 219)(31, 221)(32, 204)(33, 224)(34, 260)(35, 220)(36, 213)(37, 240)(38, 259)(39, 207)(40, 231)(41, 269)(42, 214)(43, 227)(44, 209)(45, 245)(46, 236)(47, 229)(48, 239)(49, 226)(50, 230)(51, 228)(52, 267)(53, 271)(54, 234)(55, 215)(56, 247)(57, 258)(58, 262)(59, 217)(60, 282)(61, 251)(62, 273)(63, 254)(64, 222)(65, 266)(66, 270)(67, 242)(68, 241)(69, 277)(70, 274)(71, 275)(72, 261)(73, 263)(74, 276)(75, 278)(76, 233)(77, 268)(78, 249)(79, 237)(80, 252)(81, 255)(82, 250)(83, 265)(84, 257)(85, 264)(86, 244)(87, 280)(88, 288)(89, 285)(90, 272)(91, 287)(92, 283)(93, 286)(94, 281)(95, 284)(96, 279)(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, 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 E21.2363
Graph:: bipartite
	v = 44 e = 192 f = 108
	degree seq :: [ 6^32, 16^12 ]

E21.2361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, (Y1^-2 * Y2^2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-3, Y2^8, Y1^8 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 18, 114, 46, 142, 38, 134, 13, 109, 4, 100)(3, 99, 9, 105, 27, 123, 56, 152, 45, 141, 71, 167, 33, 129, 11, 107)(5, 101, 15, 111, 42, 138, 62, 158, 30, 126, 67, 163, 44, 140, 16, 112)(7, 103, 21, 117, 55, 151, 80, 176, 64, 160, 32, 128, 59, 155, 23, 119)(8, 104, 24, 120, 61, 157, 83, 179, 57, 153, 34, 130, 63, 159, 25, 121)(10, 106, 22, 118, 50, 146, 41, 137, 17, 113, 26, 122, 54, 150, 31, 127)(12, 108, 35, 131, 69, 165, 29, 125, 47, 143, 77, 173, 74, 170, 36, 132)(14, 110, 40, 136, 76, 172, 43, 139, 48, 144, 78, 174, 68, 164, 28, 124)(19, 115, 49, 145, 79, 175, 75, 171, 37, 133, 58, 154, 81, 177, 51, 147)(20, 116, 52, 148, 82, 178, 73, 169, 39, 135, 60, 156, 84, 180, 53, 149)(65, 161, 89, 185, 93, 189, 86, 182, 70, 166, 91, 187, 95, 191, 88, 184)(66, 162, 90, 186, 94, 190, 87, 183, 72, 168, 92, 188, 96, 192, 85, 181)(193, 289, 195, 291, 202, 298, 222, 318, 238, 334, 237, 333, 209, 305, 197, 293)(194, 290, 199, 295, 214, 310, 249, 345, 230, 326, 256, 352, 218, 314, 200, 296)(196, 292, 204, 300, 223, 319, 240, 336, 210, 306, 239, 335, 233, 329, 206, 302)(198, 294, 211, 307, 242, 338, 231, 327, 205, 301, 229, 325, 246, 342, 212, 308)(201, 297, 220, 316, 259, 355, 228, 324, 263, 359, 235, 331, 207, 303, 221, 317)(203, 299, 224, 320, 254, 350, 216, 312, 248, 344, 213, 309, 208, 304, 226, 322)(215, 311, 250, 346, 275, 371, 244, 340, 272, 368, 241, 337, 217, 313, 252, 348)(219, 315, 257, 353, 236, 332, 264, 360, 225, 321, 262, 358, 234, 330, 258, 354)(227, 323, 265, 361, 270, 366, 267, 363, 269, 365, 245, 341, 232, 328, 243, 339)(247, 343, 277, 373, 255, 351, 280, 376, 251, 347, 279, 375, 253, 349, 278, 374)(260, 356, 283, 379, 266, 362, 282, 378, 268, 364, 281, 377, 261, 357, 284, 380)(271, 367, 285, 381, 276, 372, 288, 384, 273, 369, 287, 383, 274, 370, 286, 382)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 211)(7, 214)(8, 194)(9, 220)(10, 222)(11, 224)(12, 223)(13, 229)(14, 196)(15, 221)(16, 226)(17, 197)(18, 239)(19, 242)(20, 198)(21, 208)(22, 249)(23, 250)(24, 248)(25, 252)(26, 200)(27, 257)(28, 259)(29, 201)(30, 238)(31, 240)(32, 254)(33, 262)(34, 203)(35, 265)(36, 263)(37, 246)(38, 256)(39, 205)(40, 243)(41, 206)(42, 258)(43, 207)(44, 264)(45, 209)(46, 237)(47, 233)(48, 210)(49, 217)(50, 231)(51, 227)(52, 272)(53, 232)(54, 212)(55, 277)(56, 213)(57, 230)(58, 275)(59, 279)(60, 215)(61, 278)(62, 216)(63, 280)(64, 218)(65, 236)(66, 219)(67, 228)(68, 283)(69, 284)(70, 234)(71, 235)(72, 225)(73, 270)(74, 282)(75, 269)(76, 281)(77, 245)(78, 267)(79, 285)(80, 241)(81, 287)(82, 286)(83, 244)(84, 288)(85, 255)(86, 247)(87, 253)(88, 251)(89, 261)(90, 268)(91, 266)(92, 260)(93, 276)(94, 271)(95, 274)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2362
Graph:: bipartite
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3^8, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	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, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 208, 304, 210, 306)(199, 295, 211, 307, 212, 308)(201, 297, 209, 305, 217, 313)(203, 299, 220, 316, 221, 317)(204, 300, 222, 318, 223, 319)(207, 303, 213, 309, 224, 320)(214, 310, 236, 332, 238, 334)(215, 311, 239, 335, 240, 336)(216, 312, 237, 333, 242, 338)(218, 314, 244, 340, 228, 324)(219, 315, 245, 341, 229, 325)(225, 321, 249, 345, 251, 347)(226, 322, 253, 349, 233, 329)(227, 323, 252, 348, 254, 350)(230, 326, 255, 351, 257, 353)(231, 327, 258, 354, 246, 342)(232, 328, 259, 355, 247, 343)(234, 330, 261, 357, 248, 344)(235, 331, 260, 356, 262, 358)(241, 337, 256, 352, 268, 364)(243, 339, 270, 366, 263, 359)(250, 346, 274, 370, 275, 371)(264, 360, 284, 380, 285, 381)(265, 361, 280, 376, 271, 367)(266, 362, 281, 377, 272, 368)(267, 363, 282, 378, 273, 369)(269, 365, 286, 382, 278, 374)(276, 372, 283, 379, 277, 373)(279, 375, 288, 384, 287, 383)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 216)(10, 218)(11, 217)(12, 196)(13, 215)(14, 219)(15, 197)(16, 228)(17, 230)(18, 231)(19, 229)(20, 232)(21, 199)(22, 237)(23, 200)(24, 241)(25, 243)(26, 242)(27, 202)(28, 246)(29, 236)(30, 247)(31, 239)(32, 204)(33, 205)(34, 206)(35, 207)(36, 255)(37, 208)(38, 256)(39, 257)(40, 210)(41, 211)(42, 212)(43, 213)(44, 263)(45, 264)(46, 265)(47, 221)(48, 266)(49, 227)(50, 269)(51, 268)(52, 271)(53, 272)(54, 270)(55, 220)(56, 222)(57, 223)(58, 224)(59, 267)(60, 225)(61, 273)(62, 226)(63, 278)(64, 235)(65, 279)(66, 280)(67, 281)(68, 233)(69, 282)(70, 234)(71, 284)(72, 252)(73, 285)(74, 238)(75, 240)(76, 250)(77, 254)(78, 287)(79, 286)(80, 244)(81, 245)(82, 248)(83, 249)(84, 251)(85, 253)(86, 260)(87, 262)(88, 288)(89, 258)(90, 259)(91, 261)(92, 275)(93, 276)(94, 277)(95, 274)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2361
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^3, (Y3 * Y1 * Y3 * Y1^-1)^2, Y1^8, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 36, 132, 29, 125, 12, 108, 4, 100)(3, 99, 9, 105, 17, 113, 39, 135, 63, 159, 52, 148, 26, 122, 10, 106)(5, 101, 14, 110, 18, 114, 40, 136, 64, 160, 58, 154, 30, 126, 15, 111)(7, 103, 19, 115, 37, 133, 65, 161, 55, 151, 28, 124, 11, 107, 20, 116)(8, 104, 21, 117, 38, 134, 66, 162, 57, 153, 31, 127, 13, 109, 22, 118)(23, 119, 46, 142, 67, 163, 89, 185, 79, 175, 51, 147, 25, 121, 48, 144)(24, 120, 49, 145, 68, 164, 90, 186, 80, 176, 53, 149, 27, 123, 50, 146)(32, 128, 60, 156, 69, 165, 91, 187, 84, 180, 62, 158, 34, 130, 61, 157)(33, 129, 41, 137, 70, 166, 86, 182, 82, 178, 54, 150, 35, 131, 43, 139)(42, 138, 71, 167, 87, 183, 83, 179, 56, 152, 73, 169, 44, 140, 72, 168)(45, 141, 74, 170, 88, 184, 85, 181, 59, 155, 76, 172, 47, 143, 75, 171)(77, 173, 92, 188, 96, 192, 95, 191, 81, 177, 94, 190, 78, 174, 93, 189)(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, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 215)(10, 217)(11, 205)(12, 218)(13, 196)(14, 224)(15, 226)(16, 229)(17, 210)(18, 198)(19, 233)(20, 235)(21, 237)(22, 239)(23, 216)(24, 201)(25, 219)(26, 222)(27, 202)(28, 246)(29, 247)(30, 204)(31, 251)(32, 225)(33, 206)(34, 227)(35, 207)(36, 255)(37, 230)(38, 208)(39, 259)(40, 261)(41, 234)(42, 211)(43, 236)(44, 212)(45, 238)(46, 213)(47, 240)(48, 214)(49, 269)(50, 270)(51, 223)(52, 271)(53, 273)(54, 248)(55, 249)(56, 220)(57, 221)(58, 276)(59, 243)(60, 241)(61, 242)(62, 245)(63, 256)(64, 228)(65, 278)(66, 280)(67, 260)(68, 231)(69, 262)(70, 232)(71, 284)(72, 285)(73, 286)(74, 263)(75, 264)(76, 265)(77, 252)(78, 253)(79, 272)(80, 244)(81, 254)(82, 250)(83, 287)(84, 274)(85, 275)(86, 279)(87, 257)(88, 281)(89, 258)(90, 288)(91, 282)(92, 266)(93, 267)(94, 268)(95, 277)(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) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2360
Graph:: simple bipartite
	v = 108 e = 192 f = 44
	degree seq :: [ 2^96, 16^12 ]

E21.2364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (Y1^-1 * Y3 * Y1 * Y3)^2, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^8, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * 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, 97, 2, 98, 6, 102, 16, 112, 42, 138, 32, 128, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 57, 153, 78, 174, 63, 159, 27, 123, 10, 106)(5, 101, 14, 110, 36, 132, 75, 171, 79, 175, 76, 172, 40, 136, 15, 111)(7, 103, 19, 115, 48, 144, 87, 183, 69, 165, 65, 161, 28, 124, 20, 116)(8, 104, 21, 117, 53, 149, 90, 186, 70, 166, 77, 173, 55, 151, 22, 118)(11, 107, 29, 125, 66, 162, 58, 154, 43, 139, 80, 176, 67, 163, 30, 126)(13, 109, 34, 130, 37, 133, 50, 146, 44, 140, 81, 177, 73, 169, 35, 131)(17, 113, 45, 141, 82, 178, 68, 164, 31, 127, 39, 135, 52, 148, 46, 142)(18, 114, 47, 143, 85, 181, 72, 168, 33, 129, 71, 167, 60, 156, 25, 121)(24, 120, 49, 145, 83, 179, 94, 190, 92, 188, 74, 170, 41, 137, 56, 152)(26, 122, 61, 157, 84, 180, 54, 150, 88, 184, 95, 191, 91, 187, 62, 158)(38, 134, 59, 155, 86, 182, 96, 192, 93, 189, 64, 160, 89, 185, 51, 147)(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, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 229)(15, 231)(16, 235)(17, 210)(18, 198)(19, 241)(20, 243)(21, 228)(22, 221)(23, 250)(24, 217)(25, 201)(26, 220)(27, 222)(28, 202)(29, 248)(30, 256)(31, 225)(32, 261)(33, 204)(34, 252)(35, 257)(36, 246)(37, 230)(38, 206)(39, 233)(40, 254)(41, 207)(42, 270)(43, 236)(44, 208)(45, 275)(46, 276)(47, 245)(48, 249)(49, 242)(50, 211)(51, 244)(52, 212)(53, 278)(54, 213)(55, 281)(56, 214)(57, 280)(58, 251)(59, 215)(60, 253)(61, 226)(62, 269)(63, 284)(64, 219)(65, 266)(66, 238)(67, 260)(68, 283)(69, 262)(70, 224)(71, 247)(72, 255)(73, 285)(74, 227)(75, 237)(76, 265)(77, 232)(78, 271)(79, 234)(80, 286)(81, 277)(82, 279)(83, 267)(84, 258)(85, 287)(86, 239)(87, 288)(88, 240)(89, 263)(90, 272)(91, 259)(92, 264)(93, 268)(94, 282)(95, 273)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2358
Graph:: simple bipartite
	v = 108 e = 192 f = 44
	degree seq :: [ 2^96, 16^12 ]

E21.2365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = A4 : C8 (small group id <96, 65>)
Aut   = (D8 x A4) : C2 (small group id <192, 974>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-3 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 42, 138, 32, 128, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 57, 153, 78, 174, 61, 157, 27, 123, 10, 106)(5, 101, 14, 110, 36, 132, 75, 171, 79, 175, 77, 173, 40, 136, 15, 111)(7, 103, 19, 115, 48, 144, 87, 183, 69, 165, 60, 156, 51, 147, 20, 116)(8, 104, 21, 117, 52, 148, 90, 186, 70, 166, 66, 162, 39, 135, 22, 118)(11, 107, 29, 125, 25, 121, 53, 149, 43, 139, 80, 176, 65, 161, 30, 126)(13, 109, 34, 130, 72, 168, 76, 172, 44, 140, 81, 177, 73, 169, 35, 131)(17, 113, 45, 141, 82, 178, 68, 164, 31, 127, 67, 163, 64, 160, 37, 133)(18, 114, 46, 142, 84, 180, 71, 167, 33, 129, 28, 124, 55, 151, 47, 143)(24, 120, 58, 154, 83, 179, 96, 192, 92, 188, 74, 170, 89, 185, 56, 152)(26, 122, 50, 146, 38, 134, 54, 150, 85, 181, 95, 191, 91, 187, 59, 155)(41, 137, 63, 159, 86, 182, 49, 145, 88, 184, 94, 190, 93, 189, 62, 158)(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, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 229)(15, 231)(16, 235)(17, 210)(18, 198)(19, 241)(20, 242)(21, 245)(22, 247)(23, 211)(24, 217)(25, 201)(26, 220)(27, 252)(28, 202)(29, 255)(30, 251)(31, 225)(32, 261)(33, 204)(34, 212)(35, 232)(36, 250)(37, 230)(38, 206)(39, 233)(40, 266)(41, 207)(42, 270)(43, 236)(44, 208)(45, 275)(46, 249)(47, 264)(48, 237)(49, 215)(50, 226)(51, 259)(52, 280)(53, 246)(54, 213)(55, 248)(56, 214)(57, 277)(58, 268)(59, 258)(60, 254)(61, 284)(62, 219)(63, 256)(64, 221)(65, 253)(66, 222)(67, 281)(68, 283)(69, 262)(70, 224)(71, 265)(72, 278)(73, 285)(74, 227)(75, 244)(76, 228)(77, 260)(78, 271)(79, 234)(80, 286)(81, 279)(82, 272)(83, 240)(84, 288)(85, 238)(86, 239)(87, 287)(88, 267)(89, 243)(90, 276)(91, 269)(92, 257)(93, 263)(94, 274)(95, 273)(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) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2359
Graph:: simple bipartite
	v = 108 e = 192 f = 44
	degree seq :: [ 2^96, 16^12 ]

E21.2366 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 8, 8})
Quotient :: edge
Aut^+ = SL(2,3) : C4 (small group id <96, 66>)
Aut   = $<192, 986>$ (small group id <192, 986>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1, T2^8, (T2 * T1^-1)^4, T2 * T1 * T2^-3 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 59, 41, 15, 5)(2, 6, 17, 45, 86, 52, 21, 7)(4, 11, 30, 66, 94, 71, 34, 12)(8, 22, 53, 74, 80, 44, 55, 23)(10, 27, 32, 68, 81, 95, 63, 28)(13, 35, 73, 93, 58, 47, 18, 36)(14, 37, 75, 70, 60, 54, 76, 38)(16, 42, 82, 62, 92, 65, 84, 43)(19, 48, 89, 96, 85, 67, 31, 49)(20, 50, 79, 40, 78, 83, 61, 26)(24, 56, 64, 29, 39, 77, 88, 57)(33, 69, 91, 51, 90, 72, 87, 46)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 129)(111, 135, 136)(113, 140, 142)(117, 118, 147)(119, 144, 150)(121, 154, 156)(123, 132, 145)(124, 146, 158)(126, 161, 134)(130, 138, 166)(131, 168, 160)(133, 170, 163)(137, 176, 177)(139, 164, 179)(141, 181, 174)(143, 165, 184)(148, 188, 169)(149, 173, 178)(151, 152, 180)(153, 185, 167)(155, 182, 190)(157, 172, 183)(159, 186, 162)(171, 187, 175)(189, 192, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16^3 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2367
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 96 f = 12
	degree seq :: [ 3^32, 8^12 ]

E21.2367 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 8, 8})
Quotient :: loop
Aut^+ = SL(2,3) : C4 (small group id <96, 66>)
Aut   = $<192, 986>$ (small group id <192, 986>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1, T2^8, (T2 * T1^-1)^4, T2 * T1 * T2^-3 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 9, 105, 25, 121, 59, 155, 41, 137, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 45, 141, 86, 182, 52, 148, 21, 117, 7, 103)(4, 100, 11, 107, 30, 126, 66, 162, 94, 190, 71, 167, 34, 130, 12, 108)(8, 104, 22, 118, 53, 149, 74, 170, 80, 176, 44, 140, 55, 151, 23, 119)(10, 106, 27, 123, 32, 128, 68, 164, 81, 177, 95, 191, 63, 159, 28, 124)(13, 109, 35, 131, 73, 169, 93, 189, 58, 154, 47, 143, 18, 114, 36, 132)(14, 110, 37, 133, 75, 171, 70, 166, 60, 156, 54, 150, 76, 172, 38, 134)(16, 112, 42, 138, 82, 178, 62, 158, 92, 188, 65, 161, 84, 180, 43, 139)(19, 115, 48, 144, 89, 185, 96, 192, 85, 181, 67, 163, 31, 127, 49, 145)(20, 116, 50, 146, 79, 175, 40, 136, 78, 174, 83, 179, 61, 157, 26, 122)(24, 120, 56, 152, 64, 160, 29, 125, 39, 135, 77, 173, 88, 184, 57, 153)(33, 129, 69, 165, 91, 187, 51, 147, 90, 186, 72, 168, 87, 183, 46, 142)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 120)(10, 99)(11, 125)(12, 128)(13, 110)(14, 101)(15, 135)(16, 114)(17, 140)(18, 102)(19, 116)(20, 103)(21, 118)(22, 147)(23, 144)(24, 122)(25, 154)(26, 105)(27, 132)(28, 146)(29, 127)(30, 161)(31, 107)(32, 129)(33, 108)(34, 138)(35, 168)(36, 145)(37, 170)(38, 126)(39, 136)(40, 111)(41, 176)(42, 166)(43, 164)(44, 142)(45, 181)(46, 113)(47, 165)(48, 150)(49, 123)(50, 158)(51, 117)(52, 188)(53, 173)(54, 119)(55, 152)(56, 180)(57, 185)(58, 156)(59, 182)(60, 121)(61, 172)(62, 124)(63, 186)(64, 131)(65, 134)(66, 159)(67, 133)(68, 179)(69, 184)(70, 130)(71, 153)(72, 160)(73, 148)(74, 163)(75, 187)(76, 183)(77, 178)(78, 141)(79, 171)(80, 177)(81, 137)(82, 149)(83, 139)(84, 151)(85, 174)(86, 190)(87, 157)(88, 143)(89, 167)(90, 162)(91, 175)(92, 169)(93, 192)(94, 155)(95, 189)(96, 191)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2366
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 96 f = 44
	degree seq :: [ 16^12 ]

E21.2368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 66>)
Aut   = $<192, 986>$ (small group id <192, 986>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^3, Y3 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-2, Y1 * Y2 * Y3 * Y2^2 * Y1^-1 * Y2, Y2^8, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^-1 * R * Y2^-3 * R * Y2^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-3 * Y3 * Y2^-1, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2^-3 * Y3^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 44, 140, 46, 142)(21, 117, 22, 118, 51, 147)(23, 119, 48, 144, 54, 150)(25, 121, 58, 154, 60, 156)(27, 123, 36, 132, 49, 145)(28, 124, 50, 146, 62, 158)(30, 126, 65, 161, 38, 134)(34, 130, 42, 138, 70, 166)(35, 131, 72, 168, 64, 160)(37, 133, 74, 170, 67, 163)(41, 137, 80, 176, 81, 177)(43, 139, 68, 164, 83, 179)(45, 141, 85, 181, 78, 174)(47, 143, 69, 165, 88, 184)(52, 148, 92, 188, 73, 169)(53, 149, 77, 173, 82, 178)(55, 151, 56, 152, 84, 180)(57, 153, 89, 185, 71, 167)(59, 155, 86, 182, 94, 190)(61, 157, 76, 172, 87, 183)(63, 159, 90, 186, 66, 162)(75, 171, 91, 187, 79, 175)(93, 189, 96, 192, 95, 191)(193, 289, 195, 291, 201, 297, 217, 313, 251, 347, 233, 329, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 237, 333, 278, 374, 244, 340, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 258, 354, 286, 382, 263, 359, 226, 322, 204, 300)(200, 296, 214, 310, 245, 341, 266, 362, 272, 368, 236, 332, 247, 343, 215, 311)(202, 298, 219, 315, 224, 320, 260, 356, 273, 369, 287, 383, 255, 351, 220, 316)(205, 301, 227, 323, 265, 361, 285, 381, 250, 346, 239, 335, 210, 306, 228, 324)(206, 302, 229, 325, 267, 363, 262, 358, 252, 348, 246, 342, 268, 364, 230, 326)(208, 304, 234, 330, 274, 370, 254, 350, 284, 380, 257, 353, 276, 372, 235, 331)(211, 307, 240, 336, 281, 377, 288, 384, 277, 373, 259, 355, 223, 319, 241, 337)(212, 308, 242, 338, 271, 367, 232, 328, 270, 366, 275, 371, 253, 349, 218, 314)(216, 312, 248, 344, 256, 352, 221, 317, 231, 327, 269, 365, 280, 376, 249, 345)(225, 321, 261, 357, 283, 379, 243, 339, 282, 378, 264, 360, 279, 375, 238, 334)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 238)(18, 208)(19, 199)(20, 211)(21, 243)(22, 213)(23, 246)(24, 201)(25, 252)(26, 216)(27, 241)(28, 254)(29, 203)(30, 230)(31, 221)(32, 204)(33, 224)(34, 262)(35, 256)(36, 219)(37, 259)(38, 257)(39, 207)(40, 231)(41, 273)(42, 226)(43, 275)(44, 209)(45, 270)(46, 236)(47, 280)(48, 215)(49, 228)(50, 220)(51, 214)(52, 265)(53, 274)(54, 240)(55, 276)(56, 247)(57, 263)(58, 217)(59, 286)(60, 250)(61, 279)(62, 242)(63, 258)(64, 264)(65, 222)(66, 282)(67, 266)(68, 235)(69, 239)(70, 234)(71, 281)(72, 227)(73, 284)(74, 229)(75, 271)(76, 253)(77, 245)(78, 277)(79, 283)(80, 233)(81, 272)(82, 269)(83, 260)(84, 248)(85, 237)(86, 251)(87, 268)(88, 261)(89, 249)(90, 255)(91, 267)(92, 244)(93, 287)(94, 278)(95, 288)(96, 285)(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, 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 E21.2369
Graph:: bipartite
	v = 44 e = 192 f = 108
	degree seq :: [ 6^32, 16^12 ]

E21.2369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 66>)
Aut   = $<192, 986>$ (small group id <192, 986>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1, Y1^8, (Y3 * Y1^-1)^4, Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-3, Y3 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 42, 138, 32, 128, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 57, 153, 82, 178, 63, 159, 27, 123, 10, 106)(5, 101, 14, 110, 36, 132, 77, 173, 83, 179, 79, 175, 40, 136, 15, 111)(7, 103, 19, 115, 48, 144, 73, 169, 68, 164, 58, 154, 51, 147, 20, 116)(8, 104, 21, 117, 39, 135, 78, 174, 69, 165, 93, 189, 55, 151, 22, 118)(11, 107, 29, 125, 64, 160, 84, 180, 43, 139, 62, 158, 25, 121, 30, 126)(13, 109, 34, 130, 72, 168, 80, 176, 44, 140, 52, 148, 75, 171, 35, 131)(17, 113, 45, 141, 66, 162, 37, 133, 31, 127, 67, 163, 87, 183, 46, 142)(18, 114, 28, 124, 54, 150, 71, 167, 33, 129, 70, 166, 88, 184, 47, 143)(24, 120, 60, 156, 90, 186, 56, 152, 94, 190, 76, 172, 85, 181, 61, 157)(26, 122, 50, 146, 86, 182, 96, 192, 95, 191, 74, 170, 38, 134, 53, 149)(41, 137, 81, 177, 92, 188, 49, 145, 91, 187, 65, 161, 89, 185, 59, 155)(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, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 229)(15, 231)(16, 235)(17, 210)(18, 198)(19, 241)(20, 242)(21, 222)(22, 246)(23, 250)(24, 217)(25, 201)(26, 220)(27, 211)(28, 202)(29, 257)(30, 245)(31, 225)(32, 260)(33, 204)(34, 265)(35, 228)(36, 268)(37, 230)(38, 206)(39, 233)(40, 252)(41, 207)(42, 274)(43, 236)(44, 208)(45, 277)(46, 278)(47, 267)(48, 259)(49, 219)(50, 244)(51, 237)(52, 212)(53, 213)(54, 248)(55, 283)(56, 214)(57, 287)(58, 251)(59, 215)(60, 272)(61, 270)(62, 273)(63, 286)(64, 255)(65, 258)(66, 221)(67, 282)(68, 261)(69, 224)(70, 249)(71, 264)(72, 284)(73, 266)(74, 226)(75, 281)(76, 227)(77, 247)(78, 280)(79, 238)(80, 232)(81, 279)(82, 275)(83, 234)(84, 288)(85, 243)(86, 271)(87, 254)(88, 253)(89, 239)(90, 240)(91, 269)(92, 263)(93, 276)(94, 256)(95, 262)(96, 285)(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) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2368
Graph:: simple bipartite
	v = 108 e = 192 f = 44
	degree seq :: [ 2^96, 16^12 ]

E21.2370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1046>$ (small group id <192, 1046>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y1 * Y2)^4, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 18, 114)(14, 110, 21, 117)(16, 112, 19, 115)(17, 113, 27, 123)(22, 118, 32, 128)(23, 119, 29, 125)(24, 120, 28, 124)(25, 121, 34, 130)(26, 122, 35, 131)(30, 126, 38, 134)(31, 127, 39, 135)(33, 129, 41, 137)(36, 132, 44, 140)(37, 133, 45, 141)(40, 136, 48, 144)(42, 138, 50, 146)(43, 139, 51, 147)(46, 142, 54, 150)(47, 143, 55, 151)(49, 145, 57, 153)(52, 148, 60, 156)(53, 149, 61, 157)(56, 152, 64, 160)(58, 154, 66, 162)(59, 155, 67, 163)(62, 158, 70, 166)(63, 159, 71, 167)(65, 161, 73, 169)(68, 164, 76, 172)(69, 165, 77, 173)(72, 168, 80, 176)(74, 170, 82, 178)(75, 171, 83, 179)(78, 174, 86, 182)(79, 175, 87, 183)(81, 177, 89, 185)(84, 180, 88, 184)(85, 181, 92, 188)(90, 186, 94, 190)(91, 187, 93, 189)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 215, 311)(207, 303, 216, 312)(209, 305, 218, 314)(211, 307, 220, 316)(212, 308, 221, 317)(214, 310, 223, 319)(217, 313, 225, 321)(219, 315, 226, 322)(222, 318, 229, 325)(224, 320, 230, 326)(227, 323, 233, 329)(228, 324, 234, 330)(231, 327, 237, 333)(232, 328, 238, 334)(235, 331, 241, 337)(236, 332, 243, 339)(239, 335, 245, 341)(240, 336, 247, 343)(242, 338, 249, 345)(244, 340, 251, 347)(246, 342, 253, 349)(248, 344, 255, 351)(250, 346, 257, 353)(252, 348, 258, 354)(254, 350, 261, 357)(256, 352, 262, 358)(259, 355, 265, 361)(260, 356, 266, 362)(263, 359, 269, 365)(264, 360, 270, 366)(267, 363, 273, 369)(268, 364, 275, 371)(271, 367, 277, 373)(272, 368, 279, 375)(274, 370, 281, 377)(276, 372, 283, 379)(278, 374, 284, 380)(280, 376, 286, 382)(282, 378, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 215)(14, 199)(15, 217)(16, 218)(17, 201)(18, 220)(19, 202)(20, 222)(21, 223)(22, 204)(23, 205)(24, 225)(25, 207)(26, 208)(27, 228)(28, 210)(29, 229)(30, 212)(31, 213)(32, 232)(33, 216)(34, 234)(35, 235)(36, 219)(37, 221)(38, 238)(39, 239)(40, 224)(41, 241)(42, 226)(43, 227)(44, 244)(45, 245)(46, 230)(47, 231)(48, 248)(49, 233)(50, 250)(51, 251)(52, 236)(53, 237)(54, 254)(55, 255)(56, 240)(57, 257)(58, 242)(59, 243)(60, 260)(61, 261)(62, 246)(63, 247)(64, 264)(65, 249)(66, 266)(67, 267)(68, 252)(69, 253)(70, 270)(71, 271)(72, 256)(73, 273)(74, 258)(75, 259)(76, 276)(77, 277)(78, 262)(79, 263)(80, 280)(81, 265)(82, 282)(83, 283)(84, 268)(85, 269)(86, 285)(87, 286)(88, 272)(89, 287)(90, 274)(91, 275)(92, 288)(93, 278)(94, 279)(95, 281)(96, 284)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2379
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1046>$ (small group id <192, 1046>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 34, 130)(26, 122, 32, 128)(27, 123, 37, 133)(29, 125, 35, 131)(39, 135, 49, 145)(40, 136, 50, 146)(41, 137, 51, 147)(42, 138, 52, 148)(43, 139, 48, 144)(44, 140, 53, 149)(45, 141, 54, 150)(46, 142, 55, 151)(47, 143, 56, 152)(57, 153, 65, 161)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(63, 159, 71, 167)(64, 160, 72, 168)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 88, 184)(89, 185, 93, 189)(90, 186, 95, 191)(91, 187, 94, 190)(92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 233, 329)(219, 315, 235, 331)(220, 316, 232, 328)(222, 318, 234, 330)(223, 319, 236, 332)(225, 321, 238, 334)(227, 323, 240, 336)(228, 324, 237, 333)(230, 326, 239, 335)(241, 337, 249, 345)(242, 338, 251, 347)(243, 339, 250, 346)(244, 340, 252, 348)(245, 341, 253, 349)(246, 342, 255, 351)(247, 343, 254, 350)(248, 344, 256, 352)(257, 353, 265, 361)(258, 354, 267, 363)(259, 355, 266, 362)(260, 356, 268, 364)(261, 357, 269, 365)(262, 358, 271, 367)(263, 359, 270, 366)(264, 360, 272, 368)(273, 369, 281, 377)(274, 370, 283, 379)(275, 371, 282, 378)(276, 372, 284, 380)(277, 373, 285, 381)(278, 374, 287, 383)(279, 375, 286, 382)(280, 376, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 234)(26, 235)(27, 207)(28, 231)(29, 208)(30, 233)(31, 237)(32, 210)(33, 239)(34, 240)(35, 212)(36, 236)(37, 213)(38, 238)(39, 220)(40, 215)(41, 222)(42, 217)(43, 218)(44, 228)(45, 223)(46, 230)(47, 225)(48, 226)(49, 250)(50, 252)(51, 249)(52, 251)(53, 254)(54, 256)(55, 253)(56, 255)(57, 243)(58, 241)(59, 244)(60, 242)(61, 247)(62, 245)(63, 248)(64, 246)(65, 266)(66, 268)(67, 265)(68, 267)(69, 270)(70, 272)(71, 269)(72, 271)(73, 259)(74, 257)(75, 260)(76, 258)(77, 263)(78, 261)(79, 264)(80, 262)(81, 282)(82, 284)(83, 281)(84, 283)(85, 286)(86, 288)(87, 285)(88, 287)(89, 275)(90, 273)(91, 276)(92, 274)(93, 279)(94, 277)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2378
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1108>$ (small group id <192, 1108>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3, (Y1 * Y3^-1 * Y2 * Y3)^2, (Y3^-1 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 6, 102)(4, 100, 11, 107)(5, 101, 13, 109)(7, 103, 16, 112)(8, 104, 18, 114)(9, 105, 19, 115)(10, 106, 21, 117)(12, 108, 17, 113)(14, 110, 24, 120)(15, 111, 26, 122)(20, 116, 25, 121)(22, 118, 31, 127)(23, 119, 32, 128)(27, 123, 35, 131)(28, 124, 36, 132)(29, 125, 37, 133)(30, 126, 38, 134)(33, 129, 41, 137)(34, 130, 42, 138)(39, 135, 47, 143)(40, 136, 48, 144)(43, 139, 51, 147)(44, 140, 52, 148)(45, 141, 53, 149)(46, 142, 54, 150)(49, 145, 57, 153)(50, 146, 58, 154)(55, 151, 63, 159)(56, 152, 64, 160)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(65, 161, 73, 169)(66, 162, 74, 170)(71, 167, 79, 175)(72, 168, 80, 176)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(81, 177, 89, 185)(82, 178, 90, 186)(87, 183, 91, 187)(88, 184, 92, 188)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 202, 298)(197, 293, 201, 297)(199, 295, 207, 303)(200, 296, 206, 302)(203, 299, 213, 309)(204, 300, 212, 308)(205, 301, 211, 307)(208, 304, 218, 314)(209, 305, 217, 313)(210, 306, 216, 312)(214, 310, 221, 317)(215, 311, 222, 318)(219, 315, 225, 321)(220, 316, 226, 322)(223, 319, 229, 325)(224, 320, 230, 326)(227, 323, 233, 329)(228, 324, 234, 330)(231, 327, 238, 334)(232, 328, 237, 333)(235, 331, 242, 338)(236, 332, 241, 337)(239, 335, 246, 342)(240, 336, 245, 341)(243, 339, 250, 346)(244, 340, 249, 345)(247, 343, 253, 349)(248, 344, 254, 350)(251, 347, 257, 353)(252, 348, 258, 354)(255, 351, 261, 357)(256, 352, 262, 358)(259, 355, 265, 361)(260, 356, 266, 362)(263, 359, 270, 366)(264, 360, 269, 365)(267, 363, 274, 370)(268, 364, 273, 369)(271, 367, 278, 374)(272, 368, 277, 373)(275, 371, 282, 378)(276, 372, 281, 377)(279, 375, 285, 381)(280, 376, 286, 382)(283, 379, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 199)(3, 201)(4, 204)(5, 193)(6, 206)(7, 209)(8, 194)(9, 212)(10, 195)(11, 214)(12, 197)(13, 215)(14, 217)(15, 198)(16, 219)(17, 200)(18, 220)(19, 221)(20, 202)(21, 222)(22, 205)(23, 203)(24, 225)(25, 207)(26, 226)(27, 210)(28, 208)(29, 213)(30, 211)(31, 231)(32, 232)(33, 218)(34, 216)(35, 235)(36, 236)(37, 237)(38, 238)(39, 224)(40, 223)(41, 241)(42, 242)(43, 228)(44, 227)(45, 230)(46, 229)(47, 247)(48, 248)(49, 234)(50, 233)(51, 251)(52, 252)(53, 253)(54, 254)(55, 240)(56, 239)(57, 257)(58, 258)(59, 244)(60, 243)(61, 246)(62, 245)(63, 263)(64, 264)(65, 250)(66, 249)(67, 267)(68, 268)(69, 269)(70, 270)(71, 256)(72, 255)(73, 273)(74, 274)(75, 260)(76, 259)(77, 262)(78, 261)(79, 279)(80, 280)(81, 266)(82, 265)(83, 283)(84, 284)(85, 285)(86, 286)(87, 272)(88, 271)(89, 287)(90, 288)(91, 276)(92, 275)(93, 278)(94, 277)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2381
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C12 x C2 x C2) : C2 (small group id <96, 137>)
Aut   = $<192, 1108>$ (small group id <192, 1108>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-2 * Y2 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 21, 117)(11, 107, 22, 118)(13, 109, 19, 115)(16, 112, 25, 121)(17, 113, 26, 122)(23, 119, 31, 127)(24, 120, 32, 128)(27, 123, 35, 131)(28, 124, 36, 132)(29, 125, 37, 133)(30, 126, 38, 134)(33, 129, 41, 137)(34, 130, 42, 138)(39, 135, 47, 143)(40, 136, 48, 144)(43, 139, 51, 147)(44, 140, 52, 148)(45, 141, 53, 149)(46, 142, 54, 150)(49, 145, 57, 153)(50, 146, 58, 154)(55, 151, 63, 159)(56, 152, 64, 160)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(65, 161, 73, 169)(66, 162, 74, 170)(71, 167, 79, 175)(72, 168, 80, 176)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(81, 177, 89, 185)(82, 178, 90, 186)(87, 183, 91, 187)(88, 184, 92, 188)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 211, 307)(204, 300, 213, 309)(205, 301, 207, 303)(206, 302, 214, 310)(210, 306, 217, 313)(212, 308, 218, 314)(215, 311, 222, 318)(216, 312, 221, 317)(219, 315, 226, 322)(220, 316, 225, 321)(223, 319, 229, 325)(224, 320, 230, 326)(227, 323, 233, 329)(228, 324, 234, 330)(231, 327, 238, 334)(232, 328, 237, 333)(235, 331, 242, 338)(236, 332, 241, 337)(239, 335, 245, 341)(240, 336, 246, 342)(243, 339, 249, 345)(244, 340, 250, 346)(247, 343, 254, 350)(248, 344, 253, 349)(251, 347, 258, 354)(252, 348, 257, 353)(255, 351, 261, 357)(256, 352, 262, 358)(259, 355, 265, 361)(260, 356, 266, 362)(263, 359, 270, 366)(264, 360, 269, 365)(267, 363, 274, 370)(268, 364, 273, 369)(271, 367, 277, 373)(272, 368, 278, 374)(275, 371, 281, 377)(276, 372, 282, 378)(279, 375, 286, 382)(280, 376, 285, 381)(283, 379, 288, 384)(284, 380, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 209)(10, 207)(11, 195)(12, 215)(13, 197)(14, 216)(15, 203)(16, 201)(17, 198)(18, 219)(19, 200)(20, 220)(21, 221)(22, 222)(23, 206)(24, 204)(25, 225)(26, 226)(27, 212)(28, 210)(29, 214)(30, 213)(31, 231)(32, 232)(33, 218)(34, 217)(35, 235)(36, 236)(37, 237)(38, 238)(39, 224)(40, 223)(41, 241)(42, 242)(43, 228)(44, 227)(45, 230)(46, 229)(47, 247)(48, 248)(49, 234)(50, 233)(51, 251)(52, 252)(53, 253)(54, 254)(55, 240)(56, 239)(57, 257)(58, 258)(59, 244)(60, 243)(61, 246)(62, 245)(63, 263)(64, 264)(65, 250)(66, 249)(67, 267)(68, 268)(69, 269)(70, 270)(71, 256)(72, 255)(73, 273)(74, 274)(75, 260)(76, 259)(77, 262)(78, 261)(79, 279)(80, 280)(81, 266)(82, 265)(83, 283)(84, 284)(85, 285)(86, 286)(87, 272)(88, 271)(89, 287)(90, 288)(91, 276)(92, 275)(93, 278)(94, 277)(95, 282)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2380
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
Aut   = $<192, 1147>$ (small group id <192, 1147>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, (R * Y2 * Y1 * Y2)^2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 31, 127)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 32, 128)(35, 131, 54, 150)(38, 134, 61, 157)(39, 135, 62, 158)(41, 137, 58, 154)(42, 138, 55, 151)(44, 140, 53, 149)(45, 141, 66, 162)(46, 142, 67, 163)(47, 143, 52, 148)(48, 144, 68, 164)(49, 145, 69, 165)(56, 152, 75, 171)(57, 153, 76, 172)(59, 155, 77, 173)(60, 156, 78, 174)(63, 159, 72, 168)(64, 160, 81, 177)(65, 161, 82, 178)(70, 166, 87, 183)(71, 167, 88, 184)(73, 169, 89, 185)(74, 170, 90, 186)(79, 175, 95, 191)(80, 176, 96, 192)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 93, 189)(86, 182, 94, 190)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 234, 330)(215, 311, 233, 329)(216, 312, 236, 332)(218, 314, 239, 335)(220, 316, 241, 337)(221, 317, 240, 336)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(235, 331, 255, 351)(237, 333, 257, 353)(238, 334, 256, 352)(242, 338, 258, 354)(243, 339, 259, 355)(246, 342, 264, 360)(248, 344, 266, 362)(249, 345, 265, 361)(253, 349, 267, 363)(254, 350, 268, 364)(260, 356, 273, 369)(261, 357, 274, 370)(262, 358, 276, 372)(263, 359, 275, 371)(269, 365, 281, 377)(270, 366, 282, 378)(271, 367, 284, 380)(272, 368, 283, 379)(277, 373, 287, 383)(278, 374, 288, 384)(279, 375, 285, 381)(280, 376, 286, 382)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 233)(22, 235)(23, 201)(24, 237)(25, 203)(26, 238)(27, 240)(28, 206)(29, 204)(30, 241)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 255)(42, 213)(43, 215)(44, 256)(45, 218)(46, 216)(47, 257)(48, 222)(49, 219)(50, 262)(51, 263)(52, 264)(53, 223)(54, 225)(55, 265)(56, 228)(57, 226)(58, 266)(59, 232)(60, 229)(61, 271)(62, 272)(63, 234)(64, 239)(65, 236)(66, 275)(67, 276)(68, 277)(69, 278)(70, 243)(71, 242)(72, 245)(73, 250)(74, 247)(75, 283)(76, 284)(77, 285)(78, 286)(79, 254)(80, 253)(81, 288)(82, 287)(83, 259)(84, 258)(85, 261)(86, 260)(87, 281)(88, 282)(89, 280)(90, 279)(91, 268)(92, 267)(93, 270)(94, 269)(95, 273)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2382
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 91>)
Aut   = $<192, 1149>$ (small group id <192, 1149>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y3^-1 * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 44, 140)(23, 119, 46, 142)(25, 121, 45, 141)(27, 123, 51, 147)(28, 124, 54, 150)(29, 125, 55, 151)(30, 126, 56, 152)(31, 127, 57, 153)(32, 128, 60, 156)(33, 129, 62, 158)(35, 131, 61, 157)(37, 133, 67, 163)(38, 134, 70, 166)(39, 135, 71, 167)(40, 136, 72, 168)(42, 138, 66, 162)(43, 139, 63, 159)(47, 143, 59, 155)(48, 144, 69, 165)(49, 145, 68, 164)(50, 146, 58, 154)(52, 148, 65, 161)(53, 149, 64, 160)(73, 169, 94, 190)(74, 170, 88, 184)(75, 171, 91, 187)(76, 172, 95, 191)(77, 173, 85, 181)(78, 174, 90, 186)(79, 175, 89, 185)(80, 176, 86, 182)(81, 177, 92, 188)(82, 178, 93, 189)(83, 179, 84, 180)(87, 183, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(221, 317, 244, 340)(224, 320, 251, 347)(225, 321, 250, 346)(226, 322, 255, 351)(228, 324, 258, 354)(230, 326, 261, 357)(231, 327, 260, 356)(233, 329, 265, 361)(236, 332, 269, 365)(237, 333, 268, 364)(238, 334, 272, 368)(240, 336, 274, 370)(241, 337, 273, 369)(243, 339, 266, 362)(246, 342, 270, 366)(247, 343, 271, 367)(248, 344, 267, 363)(249, 345, 276, 372)(252, 348, 280, 376)(253, 349, 279, 375)(254, 350, 283, 379)(256, 352, 285, 381)(257, 353, 284, 380)(259, 355, 277, 373)(262, 358, 281, 377)(263, 359, 282, 378)(264, 360, 278, 374)(275, 371, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 237)(23, 201)(24, 240)(25, 203)(26, 241)(27, 244)(28, 206)(29, 204)(30, 245)(31, 250)(32, 253)(33, 207)(34, 256)(35, 209)(36, 257)(37, 260)(38, 212)(39, 210)(40, 261)(41, 266)(42, 268)(43, 213)(44, 270)(45, 215)(46, 271)(47, 273)(48, 218)(49, 216)(50, 274)(51, 265)(52, 222)(53, 219)(54, 269)(55, 272)(56, 275)(57, 277)(58, 279)(59, 223)(60, 281)(61, 225)(62, 282)(63, 284)(64, 228)(65, 226)(66, 285)(67, 276)(68, 232)(69, 229)(70, 280)(71, 283)(72, 286)(73, 248)(74, 287)(75, 233)(76, 235)(77, 247)(78, 238)(79, 236)(80, 246)(81, 242)(82, 239)(83, 243)(84, 264)(85, 288)(86, 249)(87, 251)(88, 263)(89, 254)(90, 252)(91, 262)(92, 258)(93, 255)(94, 259)(95, 267)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2383
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 91>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y2 * Y3^-2)^2, (Y1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y2 * Y1)^4, (R * Y2 * Y1 * Y2)^2, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 31, 127)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 32, 128)(35, 131, 54, 150)(38, 134, 61, 157)(39, 135, 62, 158)(41, 137, 58, 154)(42, 138, 55, 151)(44, 140, 53, 149)(45, 141, 66, 162)(46, 142, 67, 163)(47, 143, 52, 148)(48, 144, 68, 164)(49, 145, 69, 165)(56, 152, 75, 171)(57, 153, 76, 172)(59, 155, 77, 173)(60, 156, 78, 174)(63, 159, 72, 168)(64, 160, 81, 177)(65, 161, 82, 178)(70, 166, 79, 175)(71, 167, 80, 176)(73, 169, 87, 183)(74, 170, 88, 184)(83, 179, 92, 188)(84, 180, 91, 187)(85, 181, 90, 186)(86, 182, 89, 185)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 234, 330)(215, 311, 233, 329)(216, 312, 236, 332)(218, 314, 239, 335)(220, 316, 241, 337)(221, 317, 240, 336)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(235, 331, 255, 351)(237, 333, 257, 353)(238, 334, 256, 352)(242, 338, 258, 354)(243, 339, 259, 355)(246, 342, 264, 360)(248, 344, 266, 362)(249, 345, 265, 361)(253, 349, 267, 363)(254, 350, 268, 364)(260, 356, 273, 369)(261, 357, 274, 370)(262, 358, 276, 372)(263, 359, 275, 371)(269, 365, 279, 375)(270, 366, 280, 376)(271, 367, 282, 378)(272, 368, 281, 377)(277, 373, 286, 382)(278, 374, 285, 381)(283, 379, 288, 384)(284, 380, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 233)(22, 235)(23, 201)(24, 237)(25, 203)(26, 238)(27, 240)(28, 206)(29, 204)(30, 241)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 255)(42, 213)(43, 215)(44, 256)(45, 218)(46, 216)(47, 257)(48, 222)(49, 219)(50, 262)(51, 263)(52, 264)(53, 223)(54, 225)(55, 265)(56, 228)(57, 226)(58, 266)(59, 232)(60, 229)(61, 271)(62, 272)(63, 234)(64, 239)(65, 236)(66, 275)(67, 276)(68, 277)(69, 278)(70, 243)(71, 242)(72, 245)(73, 250)(74, 247)(75, 281)(76, 282)(77, 283)(78, 284)(79, 254)(80, 253)(81, 285)(82, 286)(83, 259)(84, 258)(85, 261)(86, 260)(87, 287)(88, 288)(89, 268)(90, 267)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2384
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 91>)
Aut   = $<192, 1212>$ (small group id <192, 1212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 31, 127)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 32, 128)(35, 131, 54, 150)(38, 134, 61, 157)(39, 135, 62, 158)(41, 137, 58, 154)(42, 138, 55, 151)(44, 140, 53, 149)(45, 141, 66, 162)(46, 142, 67, 163)(47, 143, 52, 148)(48, 144, 68, 164)(49, 145, 69, 165)(56, 152, 75, 171)(57, 153, 76, 172)(59, 155, 77, 173)(60, 156, 78, 174)(63, 159, 72, 168)(64, 160, 81, 177)(65, 161, 82, 178)(70, 166, 87, 183)(71, 167, 88, 184)(73, 169, 89, 185)(74, 170, 90, 186)(79, 175, 95, 191)(80, 176, 96, 192)(83, 179, 92, 188)(84, 180, 91, 187)(85, 181, 94, 190)(86, 182, 93, 189)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 234, 330)(215, 311, 233, 329)(216, 312, 236, 332)(218, 314, 239, 335)(220, 316, 241, 337)(221, 317, 240, 336)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(235, 331, 255, 351)(237, 333, 257, 353)(238, 334, 256, 352)(242, 338, 258, 354)(243, 339, 259, 355)(246, 342, 264, 360)(248, 344, 266, 362)(249, 345, 265, 361)(253, 349, 267, 363)(254, 350, 268, 364)(260, 356, 273, 369)(261, 357, 274, 370)(262, 358, 276, 372)(263, 359, 275, 371)(269, 365, 281, 377)(270, 366, 282, 378)(271, 367, 284, 380)(272, 368, 283, 379)(277, 373, 288, 384)(278, 374, 287, 383)(279, 375, 286, 382)(280, 376, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 233)(22, 235)(23, 201)(24, 237)(25, 203)(26, 238)(27, 240)(28, 206)(29, 204)(30, 241)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 255)(42, 213)(43, 215)(44, 256)(45, 218)(46, 216)(47, 257)(48, 222)(49, 219)(50, 262)(51, 263)(52, 264)(53, 223)(54, 225)(55, 265)(56, 228)(57, 226)(58, 266)(59, 232)(60, 229)(61, 271)(62, 272)(63, 234)(64, 239)(65, 236)(66, 275)(67, 276)(68, 277)(69, 278)(70, 243)(71, 242)(72, 245)(73, 250)(74, 247)(75, 283)(76, 284)(77, 285)(78, 286)(79, 254)(80, 253)(81, 287)(82, 288)(83, 259)(84, 258)(85, 261)(86, 260)(87, 282)(88, 281)(89, 279)(90, 280)(91, 268)(92, 267)(93, 270)(94, 269)(95, 274)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2385
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1046>$ (small group id <192, 1046>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^2 * Y2, (Y1 * Y2 * Y1^-1 * Y2)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 48, 144, 65, 161, 64, 160, 47, 143, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 16, 112, 33, 129, 49, 145, 68, 164, 80, 176, 76, 172, 60, 156, 43, 139, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 44, 140, 61, 157, 77, 173, 81, 177, 67, 163, 50, 146, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 31, 127, 51, 147, 66, 162, 82, 178, 79, 175, 63, 159, 46, 142, 28, 124, 13, 109, 20, 116)(10, 106, 23, 119, 40, 136, 57, 153, 73, 169, 87, 183, 91, 187, 85, 181, 69, 165, 54, 150, 34, 130, 22, 118)(19, 115, 37, 133, 27, 123, 45, 141, 62, 158, 78, 174, 90, 186, 93, 189, 83, 179, 71, 167, 52, 148, 36, 132)(21, 117, 35, 131, 53, 149, 70, 166, 84, 180, 92, 188, 89, 185, 75, 171, 59, 155, 42, 138, 24, 120, 38, 134)(39, 135, 56, 152, 41, 137, 58, 154, 74, 170, 88, 184, 95, 191, 96, 192, 94, 190, 86, 182, 72, 168, 55, 151)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 213, 309)(203, 299, 216, 312)(204, 300, 219, 315)(206, 302, 217, 313)(207, 303, 223, 319)(209, 305, 226, 322)(210, 306, 227, 323)(212, 308, 230, 326)(214, 310, 231, 327)(215, 311, 233, 329)(218, 314, 232, 328)(220, 316, 234, 330)(221, 317, 238, 334)(222, 318, 241, 337)(224, 320, 244, 340)(225, 321, 245, 341)(228, 324, 247, 343)(229, 325, 248, 344)(235, 331, 251, 347)(236, 332, 254, 350)(237, 333, 250, 346)(239, 335, 252, 348)(240, 336, 258, 354)(242, 338, 261, 357)(243, 339, 262, 358)(246, 342, 264, 360)(249, 345, 266, 362)(253, 349, 265, 361)(255, 351, 267, 363)(256, 352, 271, 367)(257, 353, 272, 368)(259, 355, 275, 371)(260, 356, 276, 372)(263, 359, 278, 374)(268, 364, 281, 377)(269, 365, 282, 378)(270, 366, 280, 376)(273, 369, 283, 379)(274, 370, 284, 380)(277, 373, 286, 382)(279, 375, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 214)(10, 195)(11, 215)(12, 197)(13, 219)(14, 218)(15, 224)(16, 226)(17, 198)(18, 228)(19, 199)(20, 229)(21, 231)(22, 201)(23, 203)(24, 233)(25, 232)(26, 206)(27, 205)(28, 237)(29, 236)(30, 242)(31, 244)(32, 207)(33, 246)(34, 208)(35, 247)(36, 210)(37, 212)(38, 248)(39, 213)(40, 217)(41, 216)(42, 250)(43, 249)(44, 221)(45, 220)(46, 254)(47, 253)(48, 259)(49, 261)(50, 222)(51, 263)(52, 223)(53, 264)(54, 225)(55, 227)(56, 230)(57, 235)(58, 234)(59, 266)(60, 265)(61, 239)(62, 238)(63, 270)(64, 269)(65, 273)(66, 275)(67, 240)(68, 277)(69, 241)(70, 278)(71, 243)(72, 245)(73, 252)(74, 251)(75, 280)(76, 279)(77, 256)(78, 255)(79, 282)(80, 283)(81, 257)(82, 285)(83, 258)(84, 286)(85, 260)(86, 262)(87, 268)(88, 267)(89, 287)(90, 271)(91, 272)(92, 288)(93, 274)(94, 276)(95, 281)(96, 284)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2371
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1046>$ (small group id <192, 1046>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1)^4, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 48, 144, 65, 161, 64, 160, 47, 143, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 39, 135, 57, 153, 73, 169, 80, 176, 69, 165, 49, 145, 34, 130, 16, 112, 11, 107)(4, 100, 12, 108, 26, 122, 44, 140, 61, 157, 77, 173, 81, 177, 67, 163, 50, 146, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 13, 109, 28, 124, 46, 142, 63, 159, 79, 175, 83, 179, 66, 162, 52, 148, 31, 127, 20, 116)(10, 106, 24, 120, 33, 129, 53, 149, 68, 164, 84, 180, 91, 187, 88, 184, 74, 170, 59, 155, 40, 136, 23, 119)(19, 115, 37, 133, 51, 147, 70, 166, 82, 178, 92, 188, 90, 186, 78, 174, 62, 158, 45, 141, 27, 123, 36, 132)(22, 118, 35, 131, 25, 121, 38, 134, 54, 150, 71, 167, 85, 181, 93, 189, 87, 183, 76, 172, 58, 154, 42, 138)(41, 137, 60, 156, 75, 171, 89, 185, 95, 191, 96, 192, 94, 190, 86, 182, 72, 168, 56, 152, 43, 139, 55, 151)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 219, 315)(206, 302, 213, 309)(207, 303, 223, 319)(209, 305, 225, 321)(210, 306, 227, 323)(212, 308, 230, 326)(215, 311, 233, 329)(216, 312, 235, 331)(218, 314, 232, 328)(220, 316, 234, 330)(221, 317, 238, 334)(222, 318, 241, 337)(224, 320, 243, 339)(226, 322, 246, 342)(228, 324, 247, 343)(229, 325, 248, 344)(231, 327, 250, 346)(236, 332, 254, 350)(237, 333, 252, 348)(239, 335, 249, 345)(240, 336, 258, 354)(242, 338, 260, 356)(244, 340, 263, 359)(245, 341, 264, 360)(251, 347, 267, 363)(253, 349, 266, 362)(255, 351, 268, 364)(256, 352, 271, 367)(257, 353, 272, 368)(259, 355, 274, 370)(261, 357, 277, 373)(262, 358, 278, 374)(265, 361, 279, 375)(269, 365, 282, 378)(270, 366, 281, 377)(273, 369, 283, 379)(275, 371, 285, 381)(276, 372, 286, 382)(280, 376, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 224)(16, 225)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 233)(23, 201)(24, 203)(25, 235)(26, 206)(27, 205)(28, 237)(29, 236)(30, 242)(31, 243)(32, 207)(33, 208)(34, 245)(35, 247)(36, 210)(37, 212)(38, 248)(39, 251)(40, 213)(41, 214)(42, 252)(43, 217)(44, 221)(45, 220)(46, 254)(47, 253)(48, 259)(49, 260)(50, 222)(51, 223)(52, 262)(53, 226)(54, 264)(55, 227)(56, 230)(57, 266)(58, 267)(59, 231)(60, 234)(61, 239)(62, 238)(63, 270)(64, 269)(65, 273)(66, 274)(67, 240)(68, 241)(69, 276)(70, 244)(71, 278)(72, 246)(73, 280)(74, 249)(75, 250)(76, 281)(77, 256)(78, 255)(79, 282)(80, 283)(81, 257)(82, 258)(83, 284)(84, 261)(85, 286)(86, 263)(87, 287)(88, 265)(89, 268)(90, 271)(91, 272)(92, 275)(93, 288)(94, 277)(95, 279)(96, 285)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2370
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C12 x C2 x C2) : C2 (small group id <96, 137>)
Aut   = $<192, 1108>$ (small group id <192, 1108>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^4, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 37, 133, 53, 149, 69, 165, 68, 164, 52, 148, 36, 132, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 45, 141, 61, 157, 77, 173, 84, 180, 74, 170, 54, 150, 42, 138, 21, 117, 13, 109)(4, 100, 15, 111, 33, 129, 49, 145, 65, 161, 81, 177, 85, 181, 72, 168, 55, 151, 40, 136, 22, 118, 10, 106)(6, 102, 18, 114, 35, 131, 51, 147, 67, 163, 83, 179, 86, 182, 71, 167, 56, 152, 39, 135, 23, 119, 9, 105)(8, 104, 24, 120, 17, 113, 34, 130, 50, 146, 66, 162, 82, 178, 88, 184, 70, 166, 58, 154, 38, 134, 26, 122)(12, 108, 25, 121, 41, 137, 57, 153, 73, 169, 87, 183, 94, 190, 93, 189, 78, 174, 64, 160, 46, 142, 32, 128)(14, 110, 27, 123, 43, 139, 59, 155, 75, 171, 89, 185, 95, 191, 92, 188, 79, 175, 63, 159, 47, 143, 31, 127)(16, 112, 28, 124, 44, 140, 60, 156, 76, 172, 90, 186, 96, 192, 91, 187, 80, 176, 62, 158, 48, 144, 30, 126)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 220, 316)(207, 303, 224, 320)(208, 304, 216, 312)(210, 306, 223, 319)(211, 307, 221, 317)(212, 308, 230, 326)(214, 310, 235, 331)(215, 311, 233, 329)(218, 314, 236, 332)(225, 321, 239, 335)(226, 322, 240, 336)(227, 323, 238, 334)(228, 324, 242, 338)(229, 325, 246, 342)(231, 327, 251, 347)(232, 328, 249, 345)(234, 330, 252, 348)(237, 333, 254, 350)(241, 337, 256, 352)(243, 339, 255, 351)(244, 340, 253, 349)(245, 341, 262, 358)(247, 343, 267, 363)(248, 344, 265, 361)(250, 346, 268, 364)(257, 353, 271, 367)(258, 354, 272, 368)(259, 355, 270, 366)(260, 356, 274, 370)(261, 357, 276, 372)(263, 359, 281, 377)(264, 360, 279, 375)(266, 362, 282, 378)(269, 365, 283, 379)(273, 369, 285, 381)(275, 371, 284, 380)(277, 373, 287, 383)(278, 374, 286, 382)(280, 376, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 216)(13, 219)(14, 195)(15, 197)(16, 198)(17, 224)(18, 222)(19, 225)(20, 231)(21, 233)(22, 236)(23, 199)(24, 206)(25, 205)(26, 235)(27, 200)(28, 202)(29, 238)(30, 207)(31, 209)(32, 203)(33, 240)(34, 239)(35, 211)(36, 243)(37, 247)(38, 249)(39, 252)(40, 212)(41, 218)(42, 251)(43, 213)(44, 215)(45, 255)(46, 226)(47, 221)(48, 227)(49, 228)(50, 256)(51, 254)(52, 257)(53, 263)(54, 265)(55, 268)(56, 229)(57, 234)(58, 267)(59, 230)(60, 232)(61, 270)(62, 241)(63, 242)(64, 237)(65, 272)(66, 271)(67, 244)(68, 275)(69, 277)(70, 279)(71, 282)(72, 245)(73, 250)(74, 281)(75, 246)(76, 248)(77, 284)(78, 258)(79, 253)(80, 259)(81, 260)(82, 285)(83, 283)(84, 286)(85, 288)(86, 261)(87, 266)(88, 287)(89, 262)(90, 264)(91, 273)(92, 274)(93, 269)(94, 280)(95, 276)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2373
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
Aut   = $<192, 1108>$ (small group id <192, 1108>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, Y3^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 18, 114, 33, 129, 49, 145, 65, 161, 64, 160, 48, 144, 32, 128, 17, 113, 5, 101)(3, 99, 11, 107, 25, 121, 41, 137, 57, 153, 73, 169, 80, 176, 66, 162, 50, 146, 34, 130, 19, 115, 8, 104)(4, 100, 14, 110, 29, 125, 45, 141, 61, 157, 77, 173, 81, 177, 68, 164, 51, 147, 36, 132, 20, 116, 10, 106)(6, 102, 16, 112, 31, 127, 47, 143, 63, 159, 79, 175, 82, 178, 67, 163, 52, 148, 35, 131, 21, 117, 9, 105)(12, 108, 23, 119, 37, 133, 54, 150, 69, 165, 84, 180, 91, 187, 88, 184, 74, 170, 59, 155, 42, 138, 27, 123)(13, 109, 22, 118, 38, 134, 53, 149, 70, 166, 83, 179, 92, 188, 87, 183, 75, 171, 58, 154, 43, 139, 26, 122)(15, 111, 24, 120, 39, 135, 55, 151, 71, 167, 85, 181, 93, 189, 90, 186, 78, 174, 62, 158, 46, 142, 30, 126)(28, 124, 44, 140, 60, 156, 76, 172, 89, 185, 95, 191, 96, 192, 94, 190, 86, 182, 72, 168, 56, 152, 40, 136)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 205, 301)(197, 293, 203, 299)(198, 294, 204, 300)(199, 295, 211, 307)(201, 297, 215, 311)(202, 298, 214, 310)(206, 302, 218, 314)(207, 303, 220, 316)(208, 304, 219, 315)(209, 305, 217, 313)(210, 306, 226, 322)(212, 308, 230, 326)(213, 309, 229, 325)(216, 312, 232, 328)(221, 317, 235, 331)(222, 318, 236, 332)(223, 319, 234, 330)(224, 320, 233, 329)(225, 321, 242, 338)(227, 323, 246, 342)(228, 324, 245, 341)(231, 327, 248, 344)(237, 333, 250, 346)(238, 334, 252, 348)(239, 335, 251, 347)(240, 336, 249, 345)(241, 337, 258, 354)(243, 339, 262, 358)(244, 340, 261, 357)(247, 343, 264, 360)(253, 349, 267, 363)(254, 350, 268, 364)(255, 351, 266, 362)(256, 352, 265, 361)(257, 353, 272, 368)(259, 355, 276, 372)(260, 356, 275, 371)(263, 359, 278, 374)(269, 365, 279, 375)(270, 366, 281, 377)(271, 367, 280, 376)(273, 369, 284, 380)(274, 370, 283, 379)(277, 373, 286, 382)(282, 378, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 207)(5, 208)(6, 193)(7, 212)(8, 214)(9, 216)(10, 194)(11, 218)(12, 220)(13, 195)(14, 197)(15, 198)(16, 222)(17, 221)(18, 227)(19, 229)(20, 231)(21, 199)(22, 232)(23, 200)(24, 202)(25, 234)(26, 236)(27, 203)(28, 205)(29, 238)(30, 206)(31, 209)(32, 239)(33, 243)(34, 245)(35, 247)(36, 210)(37, 248)(38, 211)(39, 213)(40, 215)(41, 250)(42, 252)(43, 217)(44, 219)(45, 224)(46, 223)(47, 254)(48, 253)(49, 259)(50, 261)(51, 263)(52, 225)(53, 264)(54, 226)(55, 228)(56, 230)(57, 266)(58, 268)(59, 233)(60, 235)(61, 270)(62, 237)(63, 240)(64, 271)(65, 273)(66, 275)(67, 277)(68, 241)(69, 278)(70, 242)(71, 244)(72, 246)(73, 279)(74, 281)(75, 249)(76, 251)(77, 256)(78, 255)(79, 282)(80, 283)(81, 285)(82, 257)(83, 286)(84, 258)(85, 260)(86, 262)(87, 287)(88, 265)(89, 267)(90, 269)(91, 288)(92, 272)(93, 274)(94, 276)(95, 280)(96, 284)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2372
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
Aut   = $<192, 1147>$ (small group id <192, 1147>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1^-1)^4, Y2 * Y1 * Y3^-2 * Y1^2 * Y2 * Y1^-3, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 44, 140, 77, 173, 96, 192, 95, 191, 76, 172, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 59, 155, 93, 189, 56, 152, 91, 187, 71, 167, 78, 174, 49, 145, 21, 117, 13, 109)(4, 100, 15, 111, 37, 133, 69, 165, 94, 190, 66, 162, 90, 186, 62, 158, 79, 175, 47, 143, 22, 118, 10, 106)(6, 102, 18, 114, 42, 138, 75, 171, 92, 188, 68, 164, 89, 185, 64, 160, 80, 176, 46, 142, 23, 119, 9, 105)(8, 104, 24, 120, 17, 113, 40, 136, 73, 169, 86, 182, 67, 163, 34, 130, 65, 161, 82, 178, 45, 141, 26, 122)(12, 108, 33, 129, 48, 144, 85, 181, 72, 168, 38, 134, 54, 150, 25, 121, 55, 151, 81, 177, 60, 156, 32, 128)(14, 110, 36, 132, 50, 146, 88, 184, 74, 170, 41, 137, 53, 149, 27, 123, 58, 154, 83, 179, 61, 157, 31, 127)(16, 112, 28, 124, 51, 147, 84, 180, 63, 159, 30, 126, 52, 148, 35, 131, 57, 153, 87, 183, 70, 166, 39, 135)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 221, 317)(212, 308, 237, 333)(214, 310, 242, 338)(215, 311, 240, 336)(216, 312, 244, 340)(218, 314, 249, 345)(220, 316, 248, 344)(223, 319, 256, 352)(224, 320, 254, 350)(225, 321, 258, 354)(228, 324, 260, 356)(229, 325, 253, 349)(231, 327, 263, 359)(232, 328, 255, 351)(234, 330, 252, 348)(235, 331, 265, 361)(236, 332, 270, 366)(238, 334, 275, 371)(239, 335, 273, 369)(241, 337, 279, 375)(243, 339, 278, 374)(245, 341, 282, 378)(246, 342, 281, 377)(247, 343, 284, 380)(250, 346, 286, 382)(251, 347, 276, 372)(257, 353, 269, 365)(259, 355, 287, 383)(261, 357, 277, 373)(262, 358, 274, 370)(264, 360, 272, 368)(266, 362, 271, 367)(267, 363, 280, 376)(268, 364, 285, 381)(283, 379, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 238)(21, 240)(22, 243)(23, 199)(24, 245)(25, 248)(26, 250)(27, 200)(28, 202)(29, 252)(30, 254)(31, 257)(32, 203)(33, 205)(34, 206)(35, 258)(36, 259)(37, 262)(38, 263)(39, 207)(40, 266)(41, 209)(42, 211)(43, 267)(44, 271)(45, 273)(46, 276)(47, 212)(48, 278)(49, 280)(50, 213)(51, 215)(52, 281)(53, 283)(54, 216)(55, 218)(56, 219)(57, 284)(58, 285)(59, 275)(60, 274)(61, 221)(62, 269)(63, 272)(64, 222)(65, 224)(66, 287)(67, 225)(68, 227)(69, 235)(70, 234)(71, 233)(72, 232)(73, 277)(74, 270)(75, 279)(76, 286)(77, 256)(78, 264)(79, 255)(80, 236)(81, 251)(82, 253)(83, 237)(84, 239)(85, 241)(86, 242)(87, 261)(88, 265)(89, 288)(90, 244)(91, 246)(92, 268)(93, 247)(94, 249)(95, 260)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2374
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 91>)
Aut   = $<192, 1149>$ (small group id <192, 1149>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3^-2 * Y1^6, (Y2 * Y1^-1 * Y2 * Y1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 44, 140, 39, 135, 16, 112, 28, 124, 51, 147, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 21, 117, 48, 144, 73, 169, 64, 160, 33, 129, 61, 157, 80, 176, 68, 164, 36, 132, 13, 109)(4, 100, 15, 111, 37, 133, 46, 142, 23, 119, 9, 105, 6, 102, 18, 114, 42, 138, 47, 143, 22, 118, 10, 106)(8, 104, 24, 120, 45, 141, 74, 170, 70, 166, 85, 181, 56, 152, 83, 179, 72, 168, 40, 136, 17, 113, 26, 122)(12, 108, 32, 128, 62, 158, 78, 174, 50, 146, 30, 126, 14, 110, 35, 131, 67, 163, 79, 175, 49, 145, 31, 127)(25, 121, 55, 151, 38, 134, 69, 165, 76, 172, 53, 149, 27, 123, 58, 154, 41, 137, 71, 167, 75, 171, 54, 150)(29, 125, 52, 148, 77, 173, 92, 188, 89, 185, 96, 192, 87, 183, 95, 191, 91, 187, 65, 161, 34, 130, 57, 153)(59, 155, 86, 182, 63, 159, 88, 184, 94, 190, 81, 177, 60, 156, 84, 180, 66, 162, 90, 186, 93, 189, 82, 178)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 230, 326)(208, 304, 225, 321)(210, 306, 233, 329)(211, 307, 228, 324)(212, 308, 237, 333)(214, 310, 242, 338)(215, 311, 241, 337)(216, 312, 244, 340)(218, 314, 249, 345)(220, 316, 248, 344)(222, 318, 252, 348)(223, 319, 251, 347)(224, 320, 255, 351)(227, 323, 258, 354)(229, 325, 259, 355)(231, 327, 262, 358)(232, 328, 257, 353)(234, 330, 254, 350)(235, 331, 264, 360)(236, 332, 265, 361)(238, 334, 268, 364)(239, 335, 267, 363)(240, 336, 269, 365)(243, 339, 272, 368)(245, 341, 274, 370)(246, 342, 273, 369)(247, 343, 276, 372)(250, 346, 278, 374)(253, 349, 279, 375)(256, 352, 281, 377)(260, 356, 283, 379)(261, 357, 282, 378)(263, 359, 280, 376)(266, 362, 284, 380)(270, 366, 286, 382)(271, 367, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 238)(21, 241)(22, 243)(23, 199)(24, 245)(25, 248)(26, 250)(27, 200)(28, 202)(29, 251)(30, 253)(31, 203)(32, 205)(33, 206)(34, 255)(35, 256)(36, 254)(37, 236)(38, 262)(39, 207)(40, 263)(41, 209)(42, 211)(43, 239)(44, 234)(45, 267)(46, 235)(47, 212)(48, 270)(49, 272)(50, 213)(51, 215)(52, 273)(53, 275)(54, 216)(55, 218)(56, 219)(57, 276)(58, 277)(59, 279)(60, 221)(61, 223)(62, 265)(63, 281)(64, 224)(65, 282)(66, 226)(67, 228)(68, 271)(69, 232)(70, 233)(71, 266)(72, 268)(73, 259)(74, 261)(75, 264)(76, 237)(77, 285)(78, 260)(79, 240)(80, 242)(81, 287)(82, 244)(83, 246)(84, 288)(85, 247)(86, 249)(87, 252)(88, 257)(89, 258)(90, 284)(91, 286)(92, 280)(93, 283)(94, 269)(95, 274)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2375
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 91>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (R * Y2 * Y1 * Y2)^2, Y3^-2 * Y1^6, (Y2 * Y1^-1)^4, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 44, 140, 39, 135, 16, 112, 28, 124, 51, 147, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 59, 155, 78, 174, 67, 163, 34, 130, 65, 161, 73, 169, 49, 145, 21, 117, 13, 109)(4, 100, 15, 111, 37, 133, 46, 142, 23, 119, 9, 105, 6, 102, 18, 114, 42, 138, 47, 143, 22, 118, 10, 106)(8, 104, 24, 120, 17, 113, 40, 136, 71, 167, 85, 181, 56, 152, 83, 179, 69, 165, 75, 171, 45, 141, 26, 122)(12, 108, 33, 129, 48, 144, 77, 173, 61, 157, 31, 127, 14, 110, 36, 132, 50, 146, 80, 176, 60, 156, 32, 128)(25, 121, 55, 151, 74, 170, 72, 168, 41, 137, 53, 149, 27, 123, 58, 154, 76, 172, 70, 166, 38, 134, 54, 150)(30, 126, 52, 148, 35, 131, 57, 153, 79, 175, 92, 188, 89, 185, 95, 191, 91, 187, 96, 192, 87, 183, 63, 159)(62, 158, 88, 184, 94, 190, 84, 180, 68, 164, 81, 177, 64, 160, 90, 186, 93, 189, 86, 182, 66, 162, 82, 178)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 221, 317)(212, 308, 237, 333)(214, 310, 242, 338)(215, 311, 240, 336)(216, 312, 244, 340)(218, 314, 249, 345)(220, 316, 248, 344)(223, 319, 256, 352)(224, 320, 254, 350)(225, 321, 258, 354)(228, 324, 260, 356)(229, 325, 253, 349)(231, 327, 261, 357)(232, 328, 255, 351)(234, 330, 252, 348)(235, 331, 263, 359)(236, 332, 265, 361)(238, 334, 268, 364)(239, 335, 266, 362)(241, 337, 271, 367)(243, 339, 270, 366)(245, 341, 274, 370)(246, 342, 273, 369)(247, 343, 276, 372)(250, 346, 278, 374)(251, 347, 279, 375)(257, 353, 281, 377)(259, 355, 283, 379)(262, 358, 282, 378)(264, 360, 280, 376)(267, 363, 284, 380)(269, 365, 285, 381)(272, 368, 286, 382)(275, 371, 287, 383)(277, 373, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 238)(21, 240)(22, 243)(23, 199)(24, 245)(25, 248)(26, 250)(27, 200)(28, 202)(29, 252)(30, 254)(31, 257)(32, 203)(33, 205)(34, 206)(35, 258)(36, 259)(37, 236)(38, 261)(39, 207)(40, 264)(41, 209)(42, 211)(43, 239)(44, 234)(45, 266)(46, 235)(47, 212)(48, 270)(49, 272)(50, 213)(51, 215)(52, 273)(53, 275)(54, 216)(55, 218)(56, 219)(57, 276)(58, 277)(59, 269)(60, 265)(61, 221)(62, 281)(63, 282)(64, 222)(65, 224)(66, 283)(67, 225)(68, 227)(69, 233)(70, 232)(71, 268)(72, 267)(73, 253)(74, 263)(75, 262)(76, 237)(77, 241)(78, 242)(79, 285)(80, 251)(81, 287)(82, 244)(83, 246)(84, 288)(85, 247)(86, 249)(87, 286)(88, 255)(89, 256)(90, 284)(91, 260)(92, 280)(93, 279)(94, 271)(95, 274)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2376
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x S3) : C2 (small group id <96, 91>)
Aut   = $<192, 1212>$ (small group id <192, 1212>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^4, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^2 * Y2)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1^-1)^4, Y2 * Y1^3 * Y2 * Y1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 44, 140, 30, 126, 52, 148, 35, 131, 57, 153, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 45, 141, 26, 122, 8, 104, 24, 120, 17, 113, 40, 136, 49, 145, 21, 117, 13, 109)(4, 100, 15, 111, 37, 133, 67, 163, 84, 180, 66, 162, 81, 177, 62, 158, 73, 169, 47, 143, 22, 118, 10, 106)(6, 102, 18, 114, 42, 138, 72, 168, 86, 182, 64, 160, 82, 178, 61, 157, 74, 170, 46, 142, 23, 119, 9, 105)(12, 108, 33, 129, 48, 144, 78, 174, 71, 167, 41, 137, 53, 149, 27, 123, 58, 154, 76, 172, 59, 155, 32, 128)(14, 110, 36, 132, 50, 146, 80, 176, 70, 166, 38, 134, 54, 150, 25, 121, 55, 151, 75, 171, 60, 156, 31, 127)(16, 112, 28, 124, 51, 147, 77, 173, 92, 188, 88, 184, 95, 191, 89, 185, 96, 192, 90, 186, 68, 164, 39, 135)(34, 130, 63, 159, 87, 183, 93, 189, 85, 181, 56, 152, 83, 179, 69, 165, 91, 187, 94, 190, 79, 175, 65, 161)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 221, 317)(212, 308, 237, 333)(214, 310, 242, 338)(215, 311, 240, 336)(216, 312, 244, 340)(218, 314, 249, 345)(220, 316, 248, 344)(223, 319, 254, 350)(224, 320, 253, 349)(225, 321, 256, 352)(228, 324, 258, 354)(229, 325, 252, 348)(231, 327, 261, 357)(232, 328, 236, 332)(234, 330, 251, 347)(235, 331, 241, 337)(238, 334, 268, 364)(239, 335, 267, 363)(243, 339, 271, 367)(245, 341, 274, 370)(246, 342, 273, 369)(247, 343, 276, 372)(250, 346, 278, 374)(255, 351, 280, 376)(257, 353, 281, 377)(259, 355, 272, 368)(260, 356, 279, 375)(262, 358, 265, 361)(263, 359, 266, 362)(264, 360, 270, 366)(269, 365, 285, 381)(275, 371, 287, 383)(277, 373, 288, 384)(282, 378, 286, 382)(283, 379, 284, 380)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 238)(21, 240)(22, 243)(23, 199)(24, 245)(25, 248)(26, 250)(27, 200)(28, 202)(29, 251)(30, 253)(31, 255)(32, 203)(33, 205)(34, 206)(35, 256)(36, 257)(37, 260)(38, 261)(39, 207)(40, 263)(41, 209)(42, 211)(43, 264)(44, 265)(45, 267)(46, 269)(47, 212)(48, 271)(49, 272)(50, 213)(51, 215)(52, 273)(53, 275)(54, 216)(55, 218)(56, 219)(57, 276)(58, 277)(59, 279)(60, 221)(61, 280)(62, 222)(63, 224)(64, 281)(65, 225)(66, 227)(67, 235)(68, 234)(69, 233)(70, 232)(71, 283)(72, 282)(73, 284)(74, 236)(75, 285)(76, 237)(77, 239)(78, 241)(79, 242)(80, 286)(81, 287)(82, 244)(83, 246)(84, 288)(85, 247)(86, 249)(87, 252)(88, 254)(89, 258)(90, 259)(91, 262)(92, 266)(93, 268)(94, 270)(95, 274)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2377
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3, (Y2 * Y1)^8, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 21, 117)(16, 112, 19, 115)(17, 113, 28, 124)(18, 114, 29, 125)(22, 118, 34, 130)(24, 120, 37, 133)(25, 121, 36, 132)(26, 122, 39, 135)(27, 123, 40, 136)(30, 126, 44, 140)(31, 127, 43, 139)(32, 128, 46, 142)(33, 129, 47, 143)(35, 131, 49, 145)(38, 134, 53, 149)(41, 137, 57, 153)(42, 138, 58, 154)(45, 141, 62, 158)(48, 144, 66, 162)(50, 146, 69, 165)(51, 147, 68, 164)(52, 148, 64, 160)(54, 150, 73, 169)(55, 151, 61, 157)(56, 152, 75, 171)(59, 155, 79, 175)(60, 156, 78, 174)(63, 159, 83, 179)(65, 161, 85, 181)(67, 163, 77, 173)(70, 166, 90, 186)(71, 167, 89, 185)(72, 168, 82, 178)(74, 170, 84, 180)(76, 172, 91, 187)(80, 176, 95, 191)(81, 177, 94, 190)(86, 182, 96, 192)(87, 183, 93, 189)(88, 184, 92, 188)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 217, 313)(209, 305, 219, 315)(211, 307, 222, 318)(212, 308, 223, 319)(214, 310, 225, 321)(215, 311, 227, 323)(218, 314, 230, 326)(220, 316, 231, 327)(221, 317, 234, 330)(224, 320, 237, 333)(226, 322, 238, 334)(228, 324, 242, 338)(229, 325, 243, 339)(232, 328, 247, 343)(233, 329, 246, 342)(235, 331, 251, 347)(236, 332, 252, 348)(239, 335, 256, 352)(240, 336, 255, 351)(241, 337, 259, 355)(244, 340, 262, 358)(245, 341, 263, 359)(248, 344, 266, 362)(249, 345, 267, 363)(250, 346, 269, 365)(253, 349, 272, 368)(254, 350, 273, 369)(257, 353, 276, 372)(258, 354, 277, 373)(260, 356, 279, 375)(261, 357, 280, 376)(264, 360, 275, 371)(265, 361, 274, 370)(268, 364, 282, 378)(270, 366, 284, 380)(271, 367, 285, 381)(278, 374, 287, 383)(281, 377, 288, 384)(283, 379, 286, 382)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 218)(16, 219)(17, 201)(18, 222)(19, 202)(20, 224)(21, 225)(22, 204)(23, 228)(24, 205)(25, 230)(26, 207)(27, 208)(28, 233)(29, 235)(30, 210)(31, 237)(32, 212)(33, 213)(34, 240)(35, 242)(36, 215)(37, 244)(38, 217)(39, 246)(40, 248)(41, 220)(42, 251)(43, 221)(44, 253)(45, 223)(46, 255)(47, 257)(48, 226)(49, 260)(50, 227)(51, 262)(52, 229)(53, 264)(54, 231)(55, 266)(56, 232)(57, 268)(58, 270)(59, 234)(60, 272)(61, 236)(62, 274)(63, 238)(64, 276)(65, 239)(66, 278)(67, 279)(68, 241)(69, 281)(70, 243)(71, 275)(72, 245)(73, 273)(74, 247)(75, 282)(76, 249)(77, 284)(78, 250)(79, 286)(80, 252)(81, 265)(82, 254)(83, 263)(84, 256)(85, 287)(86, 258)(87, 259)(88, 288)(89, 261)(90, 267)(91, 285)(92, 269)(93, 283)(94, 271)(95, 277)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2393
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 37, 133)(29, 125, 35, 131)(32, 128, 50, 146)(34, 130, 53, 149)(39, 135, 52, 148)(40, 136, 49, 145)(42, 138, 60, 156)(43, 139, 48, 144)(45, 141, 59, 155)(46, 142, 55, 151)(47, 143, 64, 160)(51, 147, 68, 164)(54, 150, 67, 163)(56, 152, 72, 168)(57, 153, 73, 169)(58, 154, 74, 170)(61, 157, 76, 172)(62, 158, 71, 167)(63, 159, 70, 166)(65, 161, 79, 175)(66, 162, 80, 176)(69, 165, 82, 178)(75, 171, 86, 182)(77, 173, 89, 185)(78, 174, 88, 184)(81, 177, 91, 187)(83, 179, 94, 190)(84, 180, 93, 189)(85, 181, 92, 188)(87, 183, 90, 186)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 238, 334)(222, 318, 235, 331)(223, 319, 240, 336)(225, 321, 243, 339)(227, 323, 246, 342)(228, 324, 247, 343)(230, 326, 244, 340)(232, 328, 249, 345)(233, 329, 250, 346)(236, 332, 253, 349)(239, 335, 255, 351)(241, 337, 257, 353)(242, 338, 258, 354)(245, 341, 261, 357)(248, 344, 263, 359)(251, 347, 267, 363)(252, 348, 268, 364)(254, 350, 270, 366)(256, 352, 269, 365)(259, 355, 273, 369)(260, 356, 274, 370)(262, 358, 276, 372)(264, 360, 275, 371)(265, 361, 277, 373)(266, 362, 279, 375)(271, 367, 282, 378)(272, 368, 284, 380)(278, 374, 286, 382)(280, 376, 287, 383)(281, 377, 283, 379)(285, 381, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 239)(29, 208)(30, 234)(31, 241)(32, 210)(33, 244)(34, 246)(35, 212)(36, 248)(37, 213)(38, 243)(39, 249)(40, 215)(41, 251)(42, 222)(43, 217)(44, 254)(45, 218)(46, 255)(47, 220)(48, 257)(49, 223)(50, 259)(51, 230)(52, 225)(53, 262)(54, 226)(55, 263)(56, 228)(57, 231)(58, 267)(59, 233)(60, 269)(61, 270)(62, 236)(63, 238)(64, 268)(65, 240)(66, 273)(67, 242)(68, 275)(69, 276)(70, 245)(71, 247)(72, 274)(73, 278)(74, 280)(75, 250)(76, 256)(77, 252)(78, 253)(79, 283)(80, 285)(81, 258)(82, 264)(83, 260)(84, 261)(85, 286)(86, 265)(87, 287)(88, 266)(89, 282)(90, 281)(91, 271)(92, 288)(93, 272)(94, 277)(95, 279)(96, 284)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2392
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y1 * Y2 * Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 44, 140)(27, 123, 33, 129)(28, 124, 51, 147)(29, 125, 52, 148)(30, 126, 32, 128)(31, 127, 53, 149)(35, 131, 56, 152)(38, 134, 63, 159)(39, 135, 64, 160)(42, 138, 57, 153)(43, 139, 60, 156)(45, 141, 54, 150)(46, 142, 67, 163)(47, 143, 68, 164)(48, 144, 55, 151)(49, 145, 69, 165)(50, 146, 70, 166)(58, 154, 75, 171)(59, 155, 76, 172)(61, 157, 77, 173)(62, 158, 78, 174)(65, 161, 81, 177)(66, 162, 82, 178)(71, 167, 79, 175)(72, 168, 80, 176)(73, 169, 87, 183)(74, 170, 88, 184)(83, 179, 92, 188)(84, 180, 91, 187)(85, 181, 90, 186)(86, 182, 89, 185)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 237, 333)(218, 314, 240, 336)(220, 316, 242, 338)(221, 317, 241, 337)(224, 320, 247, 343)(225, 321, 246, 342)(226, 322, 249, 345)(228, 324, 252, 348)(230, 326, 254, 350)(231, 327, 253, 349)(233, 329, 248, 344)(236, 332, 245, 341)(238, 334, 258, 354)(239, 335, 257, 353)(243, 339, 259, 355)(244, 340, 260, 356)(250, 346, 266, 362)(251, 347, 265, 361)(255, 351, 267, 363)(256, 352, 268, 364)(261, 357, 274, 370)(262, 358, 273, 369)(263, 359, 276, 372)(264, 360, 275, 371)(269, 365, 280, 376)(270, 366, 279, 375)(271, 367, 282, 378)(272, 368, 281, 377)(277, 373, 285, 381)(278, 374, 286, 382)(283, 379, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 236)(23, 201)(24, 238)(25, 203)(26, 239)(27, 241)(28, 206)(29, 204)(30, 242)(31, 246)(32, 248)(33, 207)(34, 250)(35, 209)(36, 251)(37, 253)(38, 212)(39, 210)(40, 254)(41, 247)(42, 245)(43, 213)(44, 215)(45, 257)(46, 218)(47, 216)(48, 258)(49, 222)(50, 219)(51, 263)(52, 264)(53, 235)(54, 233)(55, 223)(56, 225)(57, 265)(58, 228)(59, 226)(60, 266)(61, 232)(62, 229)(63, 271)(64, 272)(65, 240)(66, 237)(67, 275)(68, 276)(69, 277)(70, 278)(71, 244)(72, 243)(73, 252)(74, 249)(75, 281)(76, 282)(77, 283)(78, 284)(79, 256)(80, 255)(81, 285)(82, 286)(83, 260)(84, 259)(85, 262)(86, 261)(87, 287)(88, 288)(89, 268)(90, 267)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2394
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y2 * Y3 * Y1 * Y3^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 34, 130)(18, 114, 36, 132)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 52, 148)(31, 127, 54, 150)(32, 128, 44, 140)(35, 131, 55, 151)(38, 134, 62, 158)(39, 135, 63, 159)(40, 136, 64, 160)(41, 137, 66, 162)(42, 138, 56, 152)(45, 141, 68, 164)(46, 142, 69, 165)(47, 143, 70, 166)(48, 144, 71, 167)(49, 145, 72, 168)(53, 149, 65, 161)(57, 153, 78, 174)(58, 154, 79, 175)(59, 155, 80, 176)(60, 156, 81, 177)(61, 157, 82, 178)(67, 163, 87, 183)(73, 169, 85, 181)(74, 170, 86, 182)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 92, 188)(88, 184, 93, 189)(89, 185, 95, 191)(90, 186, 94, 190)(91, 187, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 212, 308)(204, 300, 219, 315)(205, 301, 208, 304)(206, 302, 218, 314)(207, 303, 217, 313)(211, 307, 229, 325)(213, 309, 228, 324)(214, 310, 227, 323)(215, 311, 232, 328)(216, 312, 236, 332)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 225, 321)(223, 319, 237, 333)(224, 320, 239, 335)(226, 322, 248, 344)(230, 326, 252, 348)(231, 327, 253, 349)(233, 329, 249, 345)(234, 330, 251, 347)(235, 331, 257, 353)(238, 334, 259, 355)(242, 338, 260, 356)(243, 339, 263, 359)(244, 340, 262, 358)(245, 341, 247, 343)(246, 342, 261, 357)(250, 346, 269, 365)(254, 350, 270, 366)(255, 351, 273, 369)(256, 352, 272, 368)(258, 354, 271, 367)(264, 360, 279, 375)(265, 361, 281, 377)(266, 362, 280, 376)(267, 363, 283, 379)(268, 364, 282, 378)(274, 370, 284, 380)(275, 371, 286, 382)(276, 372, 285, 381)(277, 373, 288, 384)(278, 374, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 210)(10, 217)(11, 195)(12, 220)(13, 222)(14, 223)(15, 197)(16, 203)(17, 227)(18, 198)(19, 230)(20, 232)(21, 233)(22, 200)(23, 201)(24, 237)(25, 239)(26, 240)(27, 241)(28, 206)(29, 204)(30, 245)(31, 236)(32, 207)(33, 208)(34, 249)(35, 251)(36, 252)(37, 253)(38, 213)(39, 211)(40, 257)(41, 248)(42, 214)(43, 215)(44, 259)(45, 218)(46, 216)(47, 247)(48, 219)(49, 262)(50, 265)(51, 267)(52, 221)(53, 224)(54, 266)(55, 225)(56, 269)(57, 228)(58, 226)(59, 235)(60, 229)(61, 272)(62, 275)(63, 277)(64, 231)(65, 234)(66, 276)(67, 244)(68, 280)(69, 282)(70, 238)(71, 281)(72, 283)(73, 243)(74, 242)(75, 279)(76, 246)(77, 256)(78, 285)(79, 287)(80, 250)(81, 286)(82, 288)(83, 255)(84, 254)(85, 284)(86, 258)(87, 268)(88, 261)(89, 260)(90, 264)(91, 263)(92, 278)(93, 271)(94, 270)(95, 274)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2395
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3^2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y3^8, Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-3 * Y1 * Y3 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 25, 121)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 34, 130)(18, 114, 35, 131)(23, 119, 40, 136)(26, 122, 43, 139)(27, 123, 49, 145)(28, 124, 50, 146)(29, 125, 46, 142)(30, 126, 33, 129)(31, 127, 53, 149)(32, 128, 54, 150)(36, 132, 55, 151)(37, 133, 61, 157)(38, 134, 62, 158)(39, 135, 58, 154)(41, 137, 65, 161)(42, 138, 66, 162)(44, 140, 67, 163)(45, 141, 68, 164)(47, 143, 70, 166)(48, 144, 71, 167)(51, 147, 63, 159)(52, 148, 75, 171)(56, 152, 77, 173)(57, 153, 78, 174)(59, 155, 80, 176)(60, 156, 81, 177)(64, 160, 85, 181)(69, 165, 90, 186)(72, 168, 84, 180)(73, 169, 86, 182)(74, 170, 82, 178)(76, 172, 83, 179)(79, 175, 95, 191)(87, 183, 96, 192)(88, 184, 93, 189)(89, 185, 94, 190)(91, 187, 92, 188)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 214, 310)(204, 300, 216, 312)(205, 301, 218, 314)(206, 302, 222, 318)(207, 303, 208, 304)(211, 307, 226, 322)(212, 308, 228, 324)(213, 309, 232, 328)(215, 311, 234, 330)(217, 313, 238, 334)(219, 315, 237, 333)(220, 316, 236, 332)(221, 317, 240, 336)(223, 319, 244, 340)(224, 320, 225, 321)(227, 323, 250, 346)(229, 325, 249, 345)(230, 326, 248, 344)(231, 327, 252, 348)(233, 329, 256, 352)(235, 331, 255, 351)(239, 335, 261, 357)(241, 337, 259, 355)(242, 338, 262, 358)(243, 339, 247, 343)(245, 341, 260, 356)(246, 342, 263, 359)(251, 347, 271, 367)(253, 349, 269, 365)(254, 350, 272, 368)(257, 353, 270, 366)(258, 354, 273, 369)(264, 360, 280, 376)(265, 361, 279, 375)(266, 362, 283, 379)(267, 363, 282, 378)(268, 364, 281, 377)(274, 370, 285, 381)(275, 371, 284, 380)(276, 372, 288, 384)(277, 373, 287, 383)(278, 374, 286, 382)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 215)(10, 208)(11, 195)(12, 219)(13, 221)(14, 223)(15, 197)(16, 225)(17, 201)(18, 198)(19, 229)(20, 231)(21, 233)(22, 200)(23, 235)(24, 236)(25, 239)(26, 203)(27, 206)(28, 204)(29, 243)(30, 237)(31, 246)(32, 207)(33, 247)(34, 248)(35, 251)(36, 210)(37, 213)(38, 211)(39, 255)(40, 249)(41, 258)(42, 214)(43, 252)(44, 217)(45, 216)(46, 220)(47, 263)(48, 218)(49, 264)(50, 266)(51, 224)(52, 222)(53, 265)(54, 261)(55, 240)(56, 227)(57, 226)(58, 230)(59, 273)(60, 228)(61, 274)(62, 276)(63, 234)(64, 232)(65, 275)(66, 271)(67, 279)(68, 281)(69, 238)(70, 280)(71, 244)(72, 242)(73, 241)(74, 282)(75, 283)(76, 245)(77, 284)(78, 286)(79, 250)(80, 285)(81, 256)(82, 254)(83, 253)(84, 287)(85, 288)(86, 257)(87, 260)(88, 259)(89, 267)(90, 268)(91, 262)(92, 270)(93, 269)(94, 277)(95, 278)(96, 272)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2396
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y3^-2 * Y2 * Y3^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 44, 140)(23, 119, 46, 142)(25, 121, 45, 141)(27, 123, 51, 147)(28, 124, 54, 150)(29, 125, 55, 151)(30, 126, 56, 152)(31, 127, 57, 153)(32, 128, 60, 156)(33, 129, 62, 158)(35, 131, 61, 157)(37, 133, 67, 163)(38, 134, 70, 166)(39, 135, 71, 167)(40, 136, 72, 168)(42, 138, 63, 159)(43, 139, 66, 162)(47, 143, 58, 154)(48, 144, 69, 165)(49, 145, 68, 164)(50, 146, 59, 155)(52, 148, 65, 161)(53, 149, 64, 160)(73, 169, 89, 185)(74, 170, 86, 182)(75, 171, 85, 181)(76, 172, 95, 191)(77, 173, 88, 184)(78, 174, 84, 180)(79, 175, 94, 190)(80, 176, 91, 187)(81, 177, 93, 189)(82, 178, 92, 188)(83, 179, 90, 186)(87, 183, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(221, 317, 244, 340)(224, 320, 251, 347)(225, 321, 250, 346)(226, 322, 255, 351)(228, 324, 258, 354)(230, 326, 261, 357)(231, 327, 260, 356)(233, 329, 265, 361)(236, 332, 269, 365)(237, 333, 268, 364)(238, 334, 272, 368)(240, 336, 274, 370)(241, 337, 273, 369)(243, 339, 267, 363)(246, 342, 270, 366)(247, 343, 271, 367)(248, 344, 266, 362)(249, 345, 276, 372)(252, 348, 280, 376)(253, 349, 279, 375)(254, 350, 283, 379)(256, 352, 285, 381)(257, 353, 284, 380)(259, 355, 278, 374)(262, 358, 281, 377)(263, 359, 282, 378)(264, 360, 277, 373)(275, 371, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 237)(23, 201)(24, 240)(25, 203)(26, 241)(27, 244)(28, 206)(29, 204)(30, 245)(31, 250)(32, 253)(33, 207)(34, 256)(35, 209)(36, 257)(37, 260)(38, 212)(39, 210)(40, 261)(41, 266)(42, 268)(43, 213)(44, 270)(45, 215)(46, 271)(47, 273)(48, 218)(49, 216)(50, 274)(51, 275)(52, 222)(53, 219)(54, 269)(55, 272)(56, 265)(57, 277)(58, 279)(59, 223)(60, 281)(61, 225)(62, 282)(63, 284)(64, 228)(65, 226)(66, 285)(67, 286)(68, 232)(69, 229)(70, 280)(71, 283)(72, 276)(73, 243)(74, 287)(75, 233)(76, 235)(77, 247)(78, 238)(79, 236)(80, 246)(81, 242)(82, 239)(83, 248)(84, 259)(85, 288)(86, 249)(87, 251)(88, 263)(89, 254)(90, 252)(91, 262)(92, 258)(93, 255)(94, 264)(95, 267)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2397
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 51, 147, 74, 170, 73, 169, 50, 146, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 16, 112, 33, 129, 52, 148, 77, 173, 90, 186, 83, 179, 69, 165, 45, 141, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 46, 142, 70, 166, 89, 185, 91, 187, 76, 172, 53, 149, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 31, 127, 54, 150, 75, 171, 66, 162, 86, 182, 63, 159, 49, 145, 28, 124, 13, 109, 20, 116)(10, 106, 23, 119, 42, 138, 67, 163, 88, 184, 94, 190, 96, 192, 93, 189, 78, 174, 57, 153, 34, 130, 22, 118)(19, 115, 37, 133, 27, 123, 47, 143, 71, 167, 85, 181, 95, 191, 87, 183, 92, 188, 79, 175, 55, 151, 36, 132)(21, 117, 39, 135, 56, 152, 48, 144, 62, 158, 38, 134, 60, 156, 35, 131, 58, 154, 44, 140, 24, 120, 41, 137)(40, 136, 65, 161, 43, 139, 68, 164, 81, 177, 59, 155, 82, 178, 61, 157, 84, 180, 72, 168, 80, 176, 64, 160)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 213, 309)(203, 299, 216, 312)(204, 300, 219, 315)(206, 302, 217, 313)(207, 303, 223, 319)(209, 305, 226, 322)(210, 306, 227, 323)(212, 308, 230, 326)(214, 310, 232, 328)(215, 311, 235, 331)(218, 314, 234, 330)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 244, 340)(224, 320, 247, 343)(225, 321, 248, 344)(228, 324, 251, 347)(229, 325, 253, 349)(231, 327, 255, 351)(233, 329, 258, 354)(236, 332, 246, 342)(237, 333, 250, 346)(238, 334, 263, 359)(239, 335, 264, 360)(242, 338, 261, 357)(243, 339, 267, 363)(245, 341, 270, 366)(249, 345, 272, 368)(252, 348, 275, 371)(254, 350, 269, 365)(256, 352, 277, 373)(257, 353, 279, 375)(259, 355, 273, 369)(260, 356, 271, 367)(262, 358, 280, 376)(265, 361, 278, 374)(266, 362, 282, 378)(268, 364, 284, 380)(274, 370, 286, 382)(276, 372, 285, 381)(281, 377, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 214)(10, 195)(11, 215)(12, 197)(13, 219)(14, 218)(15, 224)(16, 226)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 201)(23, 203)(24, 235)(25, 234)(26, 206)(27, 205)(28, 239)(29, 238)(30, 245)(31, 247)(32, 207)(33, 249)(34, 208)(35, 251)(36, 210)(37, 212)(38, 253)(39, 256)(40, 213)(41, 257)(42, 217)(43, 216)(44, 260)(45, 259)(46, 221)(47, 220)(48, 264)(49, 263)(50, 262)(51, 268)(52, 270)(53, 222)(54, 271)(55, 223)(56, 272)(57, 225)(58, 273)(59, 227)(60, 274)(61, 230)(62, 276)(63, 277)(64, 231)(65, 233)(66, 279)(67, 237)(68, 236)(69, 280)(70, 242)(71, 241)(72, 240)(73, 281)(74, 283)(75, 284)(76, 243)(77, 285)(78, 244)(79, 246)(80, 248)(81, 250)(82, 252)(83, 286)(84, 254)(85, 255)(86, 287)(87, 258)(88, 261)(89, 265)(90, 288)(91, 266)(92, 267)(93, 269)(94, 275)(95, 278)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2387
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1318>$ (small group id <192, 1318>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 30, 126, 51, 147, 74, 170, 73, 169, 50, 146, 29, 125, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 39, 135, 63, 159, 81, 177, 90, 186, 78, 174, 52, 148, 34, 130, 16, 112, 11, 107)(4, 100, 12, 108, 26, 122, 46, 142, 70, 166, 89, 185, 91, 187, 76, 172, 53, 149, 32, 128, 17, 113, 8, 104)(7, 103, 18, 114, 13, 109, 28, 124, 48, 144, 69, 165, 87, 183, 65, 161, 75, 171, 55, 151, 31, 127, 20, 116)(10, 106, 24, 120, 33, 129, 56, 152, 77, 173, 93, 189, 96, 192, 94, 190, 85, 181, 64, 160, 40, 136, 23, 119)(19, 115, 37, 133, 54, 150, 79, 175, 92, 188, 86, 182, 95, 191, 88, 184, 71, 167, 47, 143, 27, 123, 36, 132)(22, 118, 41, 137, 25, 121, 45, 141, 57, 153, 49, 145, 60, 156, 35, 131, 58, 154, 38, 134, 62, 158, 43, 139)(42, 138, 67, 163, 84, 180, 61, 157, 82, 178, 59, 155, 83, 179, 72, 168, 80, 176, 68, 164, 44, 140, 66, 162)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 219, 315)(206, 302, 213, 309)(207, 303, 223, 319)(209, 305, 225, 321)(210, 306, 227, 323)(212, 308, 230, 326)(215, 311, 234, 330)(216, 312, 236, 332)(218, 314, 232, 328)(220, 316, 241, 337)(221, 317, 240, 336)(222, 318, 244, 340)(224, 320, 246, 342)(226, 322, 249, 345)(228, 324, 251, 347)(229, 325, 253, 349)(231, 327, 254, 350)(233, 329, 257, 353)(235, 331, 247, 343)(237, 333, 261, 357)(238, 334, 263, 359)(239, 335, 264, 360)(242, 338, 255, 351)(243, 339, 267, 363)(245, 341, 269, 365)(248, 344, 272, 368)(250, 346, 273, 369)(252, 348, 270, 366)(256, 352, 276, 372)(258, 354, 278, 374)(259, 355, 271, 367)(260, 356, 280, 376)(262, 358, 277, 373)(265, 361, 279, 375)(266, 362, 282, 378)(268, 364, 284, 380)(274, 370, 286, 382)(275, 371, 285, 381)(281, 377, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 224)(16, 225)(17, 198)(18, 228)(19, 199)(20, 229)(21, 232)(22, 234)(23, 201)(24, 203)(25, 236)(26, 206)(27, 205)(28, 239)(29, 238)(30, 245)(31, 246)(32, 207)(33, 208)(34, 248)(35, 251)(36, 210)(37, 212)(38, 253)(39, 256)(40, 213)(41, 258)(42, 214)(43, 259)(44, 217)(45, 260)(46, 221)(47, 220)(48, 263)(49, 264)(50, 262)(51, 268)(52, 269)(53, 222)(54, 223)(55, 271)(56, 226)(57, 272)(58, 274)(59, 227)(60, 275)(61, 230)(62, 276)(63, 277)(64, 231)(65, 278)(66, 233)(67, 235)(68, 237)(69, 280)(70, 242)(71, 240)(72, 241)(73, 281)(74, 283)(75, 284)(76, 243)(77, 244)(78, 285)(79, 247)(80, 249)(81, 286)(82, 250)(83, 252)(84, 254)(85, 255)(86, 257)(87, 287)(88, 261)(89, 265)(90, 288)(91, 266)(92, 267)(93, 270)(94, 273)(95, 279)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2386
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y1^-1 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y1 * Y3^2 * Y1^-1 * Y3^-2, (Y1 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^6, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 44, 140, 39, 135, 16, 112, 28, 124, 51, 147, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 59, 155, 81, 177, 68, 164, 34, 130, 66, 162, 76, 172, 49, 145, 21, 117, 13, 109)(4, 100, 15, 111, 37, 133, 46, 142, 23, 119, 9, 105, 6, 102, 18, 114, 42, 138, 47, 143, 22, 118, 10, 106)(8, 104, 24, 120, 17, 113, 40, 136, 73, 169, 90, 186, 56, 152, 88, 184, 71, 167, 78, 174, 45, 141, 26, 122)(12, 108, 33, 129, 48, 144, 80, 176, 61, 157, 31, 127, 14, 110, 36, 132, 50, 146, 83, 179, 60, 156, 32, 128)(25, 121, 55, 151, 77, 173, 75, 171, 41, 137, 53, 149, 27, 123, 58, 154, 79, 175, 72, 168, 38, 134, 54, 150)(30, 126, 62, 158, 35, 131, 69, 165, 82, 178, 74, 170, 86, 182, 52, 148, 84, 180, 57, 153, 91, 187, 64, 160)(63, 159, 93, 189, 96, 192, 92, 188, 70, 166, 87, 183, 65, 161, 94, 190, 95, 191, 89, 185, 67, 163, 85, 181)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 221, 317)(212, 308, 237, 333)(214, 310, 242, 338)(215, 311, 240, 336)(216, 312, 244, 340)(218, 314, 249, 345)(220, 316, 248, 344)(223, 319, 257, 353)(224, 320, 255, 351)(225, 321, 259, 355)(228, 324, 262, 358)(229, 325, 253, 349)(231, 327, 263, 359)(232, 328, 266, 362)(234, 330, 252, 348)(235, 331, 265, 361)(236, 332, 268, 364)(238, 334, 271, 367)(239, 335, 269, 365)(241, 337, 274, 370)(243, 339, 273, 369)(245, 341, 279, 375)(246, 342, 277, 373)(247, 343, 281, 377)(250, 346, 284, 380)(251, 347, 283, 379)(254, 350, 280, 376)(256, 352, 270, 366)(258, 354, 278, 374)(260, 356, 276, 372)(261, 357, 282, 378)(264, 360, 285, 381)(267, 363, 286, 382)(272, 368, 287, 383)(275, 371, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 238)(21, 240)(22, 243)(23, 199)(24, 245)(25, 248)(26, 250)(27, 200)(28, 202)(29, 252)(30, 255)(31, 258)(32, 203)(33, 205)(34, 206)(35, 259)(36, 260)(37, 236)(38, 263)(39, 207)(40, 267)(41, 209)(42, 211)(43, 239)(44, 234)(45, 269)(46, 235)(47, 212)(48, 273)(49, 275)(50, 213)(51, 215)(52, 277)(53, 280)(54, 216)(55, 218)(56, 219)(57, 281)(58, 282)(59, 272)(60, 268)(61, 221)(62, 279)(63, 278)(64, 286)(65, 222)(66, 224)(67, 276)(68, 225)(69, 284)(70, 227)(71, 233)(72, 232)(73, 271)(74, 285)(75, 270)(76, 253)(77, 265)(78, 264)(79, 237)(80, 241)(81, 242)(82, 287)(83, 251)(84, 262)(85, 254)(86, 257)(87, 244)(88, 246)(89, 261)(90, 247)(91, 288)(92, 249)(93, 256)(94, 266)(95, 283)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2388
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3^8, Y3 * Y1^3 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-3, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 45, 141, 76, 172, 72, 168, 92, 188, 75, 171, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 59, 155, 90, 186, 56, 152, 89, 185, 69, 165, 77, 173, 50, 146, 22, 118, 13, 109)(4, 100, 15, 111, 37, 133, 67, 163, 88, 184, 57, 153, 44, 140, 62, 158, 78, 174, 48, 144, 23, 119, 10, 106)(6, 102, 18, 114, 42, 138, 74, 170, 87, 183, 58, 154, 40, 136, 71, 167, 79, 175, 47, 143, 24, 120, 9, 105)(8, 104, 25, 121, 17, 113, 41, 137, 73, 169, 86, 182, 65, 161, 36, 132, 64, 160, 81, 177, 46, 142, 27, 123)(12, 108, 35, 131, 49, 145, 85, 181, 70, 166, 38, 134, 54, 150, 26, 122, 55, 151, 80, 176, 60, 156, 34, 130)(14, 110, 28, 124, 51, 147, 82, 178, 95, 191, 94, 190, 66, 162, 91, 187, 96, 192, 93, 189, 61, 157, 33, 129)(16, 112, 30, 126, 52, 148, 84, 180, 63, 159, 32, 128, 20, 116, 29, 125, 53, 149, 83, 179, 68, 164, 39, 135)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 221, 317)(207, 303, 230, 326)(208, 304, 217, 313)(210, 306, 225, 321)(211, 307, 223, 319)(212, 308, 228, 324)(213, 309, 238, 334)(215, 311, 243, 339)(216, 312, 241, 337)(219, 315, 244, 340)(222, 318, 248, 344)(226, 322, 254, 350)(227, 323, 249, 345)(229, 325, 253, 349)(231, 327, 261, 357)(232, 328, 246, 342)(233, 329, 260, 356)(234, 330, 252, 348)(235, 331, 265, 361)(236, 332, 258, 354)(237, 333, 269, 365)(239, 335, 274, 370)(240, 336, 272, 368)(242, 338, 275, 371)(245, 341, 278, 374)(247, 343, 279, 375)(250, 346, 283, 379)(251, 347, 276, 372)(255, 351, 273, 369)(256, 352, 268, 364)(257, 353, 284, 380)(259, 355, 277, 373)(262, 358, 271, 367)(263, 359, 286, 382)(264, 360, 281, 377)(266, 362, 285, 381)(267, 363, 282, 378)(270, 366, 287, 383)(280, 376, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 225)(12, 228)(13, 220)(14, 195)(15, 197)(16, 232)(17, 230)(18, 224)(19, 229)(20, 198)(21, 239)(22, 241)(23, 244)(24, 199)(25, 206)(26, 248)(27, 243)(28, 200)(29, 249)(30, 202)(31, 252)(32, 254)(33, 209)(34, 203)(35, 205)(36, 258)(37, 260)(38, 261)(39, 207)(40, 264)(41, 253)(42, 211)(43, 266)(44, 212)(45, 270)(46, 272)(47, 275)(48, 213)(49, 278)(50, 274)(51, 214)(52, 279)(53, 216)(54, 217)(55, 219)(56, 283)(57, 284)(58, 222)(59, 285)(60, 273)(61, 223)(62, 268)(63, 234)(64, 226)(65, 227)(66, 281)(67, 235)(68, 271)(69, 286)(70, 233)(71, 231)(72, 236)(73, 277)(74, 276)(75, 280)(76, 263)(77, 262)(78, 255)(79, 237)(80, 251)(81, 287)(82, 238)(83, 259)(84, 240)(85, 242)(86, 288)(87, 267)(88, 245)(89, 246)(90, 247)(91, 257)(92, 250)(93, 265)(94, 256)(95, 269)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2389
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 1331>$ (small group id <192, 1331>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^3, Y3 * Y1^-1 * Y3^-3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, (Y3^-1 * Y1^2)^2, Y1^-1 * Y3^2 * Y1^-3, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1, Y2 * Y3^-3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 23, 119, 16, 112, 31, 127, 56, 152, 47, 143, 22, 118, 34, 130, 20, 116, 5, 101)(3, 99, 11, 107, 35, 131, 69, 165, 40, 136, 74, 170, 85, 181, 76, 172, 45, 141, 54, 150, 24, 120, 13, 109)(4, 100, 15, 111, 25, 121, 10, 106, 33, 129, 19, 115, 32, 128, 9, 105, 6, 102, 21, 117, 26, 122, 17, 113)(8, 104, 27, 123, 18, 114, 49, 145, 61, 157, 90, 186, 81, 177, 92, 188, 66, 162, 83, 179, 52, 148, 29, 125)(12, 108, 39, 135, 67, 163, 38, 134, 68, 164, 43, 139, 55, 151, 37, 133, 14, 110, 44, 140, 53, 149, 41, 137)(28, 124, 60, 156, 46, 142, 59, 155, 48, 144, 64, 160, 51, 147, 58, 154, 30, 126, 65, 161, 50, 146, 62, 158)(36, 132, 70, 166, 42, 138, 78, 174, 84, 180, 82, 178, 88, 184, 57, 153, 86, 182, 63, 159, 94, 190, 72, 168)(71, 167, 87, 183, 75, 171, 91, 187, 77, 173, 93, 189, 80, 176, 96, 192, 73, 169, 89, 185, 79, 175, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 210, 306)(198, 294, 204, 300)(199, 295, 216, 312)(201, 297, 222, 318)(202, 298, 220, 316)(203, 299, 228, 324)(205, 301, 234, 330)(207, 303, 238, 334)(208, 304, 237, 333)(209, 305, 240, 336)(211, 307, 242, 338)(212, 308, 227, 323)(213, 309, 243, 339)(214, 310, 232, 328)(215, 311, 244, 340)(217, 313, 247, 343)(218, 314, 245, 341)(219, 315, 249, 345)(221, 317, 255, 351)(223, 319, 258, 354)(224, 320, 259, 355)(225, 321, 260, 356)(226, 322, 253, 349)(229, 325, 265, 361)(230, 326, 263, 359)(231, 327, 267, 363)(233, 329, 269, 365)(235, 331, 271, 367)(236, 332, 272, 368)(239, 335, 273, 369)(241, 337, 274, 370)(246, 342, 276, 372)(248, 344, 277, 373)(250, 346, 281, 377)(251, 347, 279, 375)(252, 348, 283, 379)(254, 350, 285, 381)(256, 352, 287, 383)(257, 353, 288, 384)(261, 357, 286, 382)(262, 358, 284, 380)(264, 360, 275, 371)(266, 362, 278, 374)(268, 364, 280, 376)(270, 366, 282, 378)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 211)(6, 193)(7, 217)(8, 220)(9, 223)(10, 194)(11, 229)(12, 232)(13, 235)(14, 195)(15, 197)(16, 225)(17, 226)(18, 238)(19, 215)(20, 218)(21, 239)(22, 198)(23, 213)(24, 245)(25, 248)(26, 199)(27, 250)(28, 253)(29, 256)(30, 200)(31, 209)(32, 212)(33, 214)(34, 202)(35, 259)(36, 263)(37, 266)(38, 203)(39, 205)(40, 260)(41, 246)(42, 267)(43, 261)(44, 268)(45, 206)(46, 273)(47, 207)(48, 258)(49, 257)(50, 210)(51, 244)(52, 242)(53, 227)(54, 230)(55, 216)(56, 224)(57, 279)(58, 282)(59, 219)(60, 221)(61, 240)(62, 275)(63, 283)(64, 241)(65, 284)(66, 222)(67, 277)(68, 237)(69, 236)(70, 288)(71, 276)(72, 285)(73, 228)(74, 233)(75, 280)(76, 231)(77, 278)(78, 281)(79, 234)(80, 286)(81, 243)(82, 287)(83, 251)(84, 269)(85, 247)(86, 265)(87, 264)(88, 272)(89, 249)(90, 254)(91, 262)(92, 252)(93, 270)(94, 271)(95, 255)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2390
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (D8 x S3) : C2 (small group id <96, 121>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y3^-2 * Y1^6, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-3, Y3^-2 * Y1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 44, 140, 39, 135, 16, 112, 28, 124, 51, 147, 43, 139, 19, 115, 5, 101)(3, 99, 11, 107, 21, 117, 48, 144, 76, 172, 66, 162, 33, 129, 63, 159, 83, 179, 70, 166, 36, 132, 13, 109)(4, 100, 15, 111, 37, 133, 46, 142, 23, 119, 9, 105, 6, 102, 18, 114, 42, 138, 47, 143, 22, 118, 10, 106)(8, 104, 24, 120, 45, 141, 77, 173, 72, 168, 90, 186, 56, 152, 88, 184, 75, 171, 40, 136, 17, 113, 26, 122)(12, 108, 32, 128, 64, 160, 81, 177, 50, 146, 30, 126, 14, 110, 35, 131, 69, 165, 82, 178, 49, 145, 31, 127)(25, 121, 55, 151, 38, 134, 71, 167, 79, 175, 53, 149, 27, 123, 58, 154, 41, 137, 74, 170, 78, 174, 54, 150)(29, 125, 59, 155, 80, 176, 73, 169, 91, 187, 57, 153, 86, 182, 52, 148, 84, 180, 67, 163, 34, 130, 61, 157)(60, 156, 89, 185, 65, 161, 93, 189, 96, 192, 87, 183, 62, 158, 92, 188, 68, 164, 94, 190, 95, 191, 85, 181)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 230, 326)(208, 304, 225, 321)(210, 306, 233, 329)(211, 307, 228, 324)(212, 308, 237, 333)(214, 310, 242, 338)(215, 311, 241, 337)(216, 312, 244, 340)(218, 314, 249, 345)(220, 316, 248, 344)(222, 318, 254, 350)(223, 319, 252, 348)(224, 320, 257, 353)(227, 323, 260, 356)(229, 325, 261, 357)(231, 327, 264, 360)(232, 328, 265, 361)(234, 330, 256, 352)(235, 331, 267, 363)(236, 332, 268, 364)(238, 334, 271, 367)(239, 335, 270, 366)(240, 336, 272, 368)(243, 339, 275, 371)(245, 341, 279, 375)(246, 342, 277, 373)(247, 343, 281, 377)(250, 346, 284, 380)(251, 347, 280, 376)(253, 349, 282, 378)(255, 351, 278, 374)(258, 354, 283, 379)(259, 355, 269, 365)(262, 358, 276, 372)(263, 359, 285, 381)(266, 362, 286, 382)(273, 369, 288, 384)(274, 370, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 238)(21, 241)(22, 243)(23, 199)(24, 245)(25, 248)(26, 250)(27, 200)(28, 202)(29, 252)(30, 255)(31, 203)(32, 205)(33, 206)(34, 257)(35, 258)(36, 256)(37, 236)(38, 264)(39, 207)(40, 266)(41, 209)(42, 211)(43, 239)(44, 234)(45, 270)(46, 235)(47, 212)(48, 273)(49, 275)(50, 213)(51, 215)(52, 277)(53, 280)(54, 216)(55, 218)(56, 219)(57, 281)(58, 282)(59, 279)(60, 278)(61, 284)(62, 221)(63, 223)(64, 268)(65, 283)(66, 224)(67, 286)(68, 226)(69, 228)(70, 274)(71, 232)(72, 233)(73, 285)(74, 269)(75, 271)(76, 261)(77, 263)(78, 267)(79, 237)(80, 287)(81, 262)(82, 240)(83, 242)(84, 288)(85, 251)(86, 254)(87, 244)(88, 246)(89, 253)(90, 247)(91, 260)(92, 249)(93, 259)(94, 265)(95, 276)(96, 272)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2391
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2398 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: halfedge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2 * Y1 * Y2 * Y3 * Y1)^2, (Y2 * Y3)^6, (Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 121, 25, 108)(14, 125, 29, 110)(15, 124, 28, 111)(16, 120, 24, 112)(18, 131, 35, 114)(19, 123, 27, 115)(20, 119, 23, 116)(22, 137, 41, 118)(26, 143, 47, 122)(30, 149, 53, 126)(31, 147, 51, 127)(32, 141, 45, 128)(33, 140, 44, 129)(34, 146, 50, 130)(36, 144, 48, 132)(37, 148, 52, 133)(38, 142, 46, 134)(39, 139, 43, 135)(40, 145, 49, 136)(42, 150, 54, 138)(55, 162, 66, 151)(56, 167, 71, 152)(57, 164, 68, 153)(58, 165, 69, 154)(59, 166, 70, 155)(60, 163, 67, 156)(61, 173, 77, 157)(62, 171, 75, 158)(63, 170, 74, 159)(64, 169, 73, 160)(65, 177, 81, 161)(72, 180, 84, 168)(76, 184, 88, 172)(78, 182, 86, 174)(79, 181, 85, 175)(80, 188, 92, 176)(82, 186, 90, 178)(83, 185, 89, 179)(87, 191, 95, 183)(91, 190, 94, 187)(93, 192, 96, 189)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 32)(17, 33)(20, 38)(21, 39)(22, 42)(24, 44)(25, 45)(28, 50)(29, 51)(30, 54)(31, 55)(34, 58)(35, 59)(36, 61)(37, 62)(40, 63)(41, 64)(43, 66)(46, 69)(47, 70)(48, 72)(49, 73)(52, 74)(53, 75)(56, 77)(57, 78)(60, 79)(65, 80)(67, 84)(68, 85)(71, 86)(76, 87)(81, 93)(82, 92)(83, 91)(88, 96)(89, 95)(90, 94)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 118)(107, 120)(109, 124)(110, 126)(111, 127)(113, 130)(114, 132)(115, 133)(117, 136)(119, 139)(121, 142)(122, 144)(123, 145)(125, 148)(128, 152)(129, 153)(131, 156)(134, 155)(135, 154)(137, 151)(138, 161)(140, 163)(141, 164)(143, 167)(146, 166)(147, 165)(149, 162)(150, 172)(157, 176)(158, 177)(159, 178)(160, 179)(168, 183)(169, 184)(170, 185)(171, 186)(173, 187)(174, 188)(175, 189)(180, 190)(181, 191)(182, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2399
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2399 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: halfedge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1^2)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y2 * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-4 * Y3 * Y2 * Y3 * Y2, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 141, 45, 173, 77, 190, 94, 187, 91, 164, 68, 140, 44, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 159, 63, 182, 86, 172, 76, 179, 83, 167, 71, 134, 38, 145, 49, 115, 19, 107, 11, 99)(4, 108, 12, 130, 34, 165, 69, 127, 31, 163, 67, 185, 89, 160, 64, 174, 78, 147, 51, 116, 20, 110, 14, 100)(7, 117, 21, 111, 15, 137, 41, 171, 75, 186, 90, 162, 66, 184, 88, 156, 60, 175, 79, 142, 46, 119, 23, 103)(8, 120, 24, 112, 16, 138, 42, 151, 55, 183, 87, 169, 73, 181, 85, 170, 74, 176, 80, 143, 47, 122, 26, 104)(10, 126, 30, 144, 48, 135, 39, 109, 13, 133, 37, 146, 50, 118, 22, 150, 54, 139, 43, 157, 61, 121, 25, 106)(28, 155, 59, 128, 32, 158, 62, 177, 81, 168, 72, 132, 36, 148, 52, 136, 40, 152, 56, 180, 84, 161, 65, 124)(29, 149, 53, 129, 33, 153, 57, 178, 82, 191, 95, 188, 92, 192, 96, 189, 93, 166, 70, 131, 35, 154, 58, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 35)(14, 29)(16, 43)(17, 27)(18, 46)(20, 50)(21, 52)(22, 55)(23, 56)(24, 58)(26, 53)(30, 47)(33, 51)(34, 48)(36, 71)(37, 73)(38, 45)(39, 74)(40, 76)(41, 72)(42, 70)(44, 75)(49, 81)(54, 78)(57, 80)(59, 88)(60, 77)(61, 89)(62, 90)(63, 84)(64, 82)(65, 79)(66, 91)(67, 92)(68, 86)(69, 93)(83, 94)(85, 95)(87, 96)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 129)(108, 132)(109, 134)(110, 136)(111, 133)(113, 130)(114, 143)(115, 144)(117, 149)(119, 153)(120, 155)(121, 156)(122, 158)(123, 157)(124, 160)(126, 162)(127, 164)(128, 163)(131, 159)(135, 171)(137, 154)(138, 161)(139, 142)(140, 151)(141, 174)(145, 178)(146, 179)(147, 180)(148, 181)(150, 182)(152, 183)(165, 177)(166, 186)(167, 188)(168, 176)(169, 187)(170, 173)(172, 189)(175, 191)(184, 192)(185, 190)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2398
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2400 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: edge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1)^6, (Y1 * Y3 * Y2)^12 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 20, 116)(10, 106, 22, 118)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 30, 126)(15, 111, 32, 128)(17, 113, 36, 132)(18, 114, 38, 134)(19, 115, 40, 136)(21, 117, 42, 138)(23, 119, 44, 140)(25, 121, 48, 144)(26, 122, 50, 146)(27, 123, 52, 148)(29, 125, 54, 150)(31, 127, 56, 152)(33, 129, 58, 154)(34, 130, 60, 156)(35, 131, 62, 158)(37, 133, 63, 159)(39, 135, 64, 160)(41, 137, 65, 161)(43, 139, 67, 163)(45, 141, 69, 165)(46, 142, 71, 167)(47, 143, 73, 169)(49, 145, 74, 170)(51, 147, 75, 171)(53, 149, 76, 172)(55, 151, 77, 173)(57, 153, 80, 176)(59, 155, 82, 178)(61, 157, 83, 179)(66, 162, 84, 180)(68, 164, 87, 183)(70, 166, 89, 185)(72, 168, 90, 186)(78, 174, 91, 187)(79, 175, 92, 188)(81, 177, 93, 189)(85, 181, 94, 190)(86, 182, 95, 191)(88, 184, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 217)(206, 221)(207, 223)(208, 225)(210, 229)(211, 231)(212, 230)(214, 228)(215, 235)(216, 237)(218, 241)(219, 243)(220, 242)(222, 240)(224, 249)(226, 251)(227, 253)(232, 246)(233, 248)(234, 244)(236, 260)(238, 262)(239, 264)(245, 259)(247, 258)(250, 267)(252, 272)(254, 274)(255, 266)(256, 261)(257, 275)(263, 279)(265, 281)(268, 282)(269, 280)(270, 278)(271, 277)(273, 276)(283, 288)(284, 287)(285, 286)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 306)(297, 307)(299, 311)(300, 314)(301, 315)(304, 322)(305, 323)(308, 318)(309, 329)(310, 316)(312, 334)(313, 335)(317, 341)(319, 343)(320, 339)(321, 337)(324, 348)(325, 333)(326, 346)(327, 332)(328, 351)(330, 350)(331, 354)(336, 359)(338, 357)(340, 362)(342, 361)(344, 366)(345, 367)(347, 369)(349, 365)(352, 364)(353, 363)(355, 373)(356, 374)(358, 376)(360, 372)(368, 379)(370, 380)(371, 381)(375, 382)(377, 383)(378, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2403
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.2401 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: edge^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y1)^2, (Y3^-1 * Y2 * Y1)^2, (Y3^2 * Y2)^2, Y3^-3 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y1 * Y2 * Y3^8 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 40, 136, 45, 141, 78, 174, 94, 190, 83, 179, 63, 159, 44, 140, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 58, 154, 27, 123, 64, 160, 91, 187, 69, 165, 77, 173, 62, 158, 26, 122, 8, 104)(3, 99, 10, 106, 31, 127, 55, 151, 89, 185, 59, 155, 82, 178, 47, 143, 18, 114, 46, 142, 34, 130, 11, 107)(6, 102, 19, 115, 49, 145, 37, 133, 75, 171, 41, 137, 68, 164, 29, 125, 9, 105, 28, 124, 52, 148, 20, 116)(12, 108, 35, 131, 15, 111, 42, 138, 74, 170, 85, 181, 48, 144, 84, 180, 51, 147, 87, 183, 66, 162, 36, 132)(13, 109, 38, 134, 16, 112, 43, 139, 50, 146, 86, 182, 65, 161, 92, 188, 67, 163, 93, 189, 76, 172, 39, 135)(21, 117, 53, 149, 24, 120, 60, 156, 88, 184, 71, 167, 30, 126, 70, 166, 33, 129, 73, 169, 80, 176, 54, 150)(22, 118, 56, 152, 25, 121, 61, 157, 32, 128, 72, 168, 79, 175, 95, 191, 81, 177, 96, 192, 90, 186, 57, 153)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 224)(205, 229)(206, 218)(208, 211)(209, 215)(212, 242)(214, 247)(219, 255)(220, 257)(221, 259)(222, 261)(223, 260)(225, 256)(226, 244)(227, 262)(228, 265)(230, 253)(231, 264)(232, 258)(233, 268)(234, 263)(235, 248)(236, 266)(237, 269)(238, 271)(239, 273)(240, 275)(241, 274)(243, 270)(245, 276)(246, 279)(249, 278)(250, 272)(251, 282)(252, 277)(254, 280)(267, 281)(283, 286)(284, 288)(285, 287)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 315)(298, 318)(299, 321)(300, 317)(302, 322)(303, 329)(305, 319)(306, 333)(307, 336)(308, 339)(309, 335)(311, 340)(312, 347)(314, 337)(316, 354)(320, 350)(323, 344)(324, 349)(325, 362)(326, 341)(327, 348)(328, 364)(330, 345)(331, 342)(332, 338)(334, 368)(343, 376)(346, 378)(351, 377)(352, 369)(353, 371)(355, 366)(356, 379)(357, 367)(358, 380)(359, 381)(360, 375)(361, 374)(363, 365)(370, 382)(372, 383)(373, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2402
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2402 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 12})
Quotient :: loop^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1)^6, (Y1 * Y3 * Y2)^12 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 20, 116, 212, 308)(10, 106, 202, 298, 22, 118, 214, 310)(11, 107, 203, 299, 24, 120, 216, 312)(13, 109, 205, 301, 28, 124, 220, 316)(14, 110, 206, 302, 30, 126, 222, 318)(15, 111, 207, 303, 32, 128, 224, 320)(17, 113, 209, 305, 36, 132, 228, 324)(18, 114, 210, 306, 38, 134, 230, 326)(19, 115, 211, 307, 40, 136, 232, 328)(21, 117, 213, 309, 42, 138, 234, 330)(23, 119, 215, 311, 44, 140, 236, 332)(25, 121, 217, 313, 48, 144, 240, 336)(26, 122, 218, 314, 50, 146, 242, 338)(27, 123, 219, 315, 52, 148, 244, 340)(29, 125, 221, 317, 54, 150, 246, 342)(31, 127, 223, 319, 56, 152, 248, 344)(33, 129, 225, 321, 58, 154, 250, 346)(34, 130, 226, 322, 60, 156, 252, 348)(35, 131, 227, 323, 62, 158, 254, 350)(37, 133, 229, 325, 63, 159, 255, 351)(39, 135, 231, 327, 64, 160, 256, 352)(41, 137, 233, 329, 65, 161, 257, 353)(43, 139, 235, 331, 67, 163, 259, 355)(45, 141, 237, 333, 69, 165, 261, 357)(46, 142, 238, 334, 71, 167, 263, 359)(47, 143, 239, 335, 73, 169, 265, 361)(49, 145, 241, 337, 74, 170, 266, 362)(51, 147, 243, 339, 75, 171, 267, 363)(53, 149, 245, 341, 76, 172, 268, 364)(55, 151, 247, 343, 77, 173, 269, 365)(57, 153, 249, 345, 80, 176, 272, 368)(59, 155, 251, 347, 82, 178, 274, 370)(61, 157, 253, 349, 83, 179, 275, 371)(66, 162, 258, 354, 84, 180, 276, 372)(68, 164, 260, 356, 87, 183, 279, 375)(70, 166, 262, 358, 89, 185, 281, 377)(72, 168, 264, 360, 90, 186, 282, 378)(78, 174, 270, 366, 91, 187, 283, 379)(79, 175, 271, 367, 92, 188, 284, 380)(81, 177, 273, 369, 93, 189, 285, 381)(85, 181, 277, 373, 94, 190, 286, 382)(86, 182, 278, 374, 95, 191, 287, 383)(88, 184, 280, 376, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 129)(17, 104)(18, 133)(19, 135)(20, 134)(21, 106)(22, 132)(23, 139)(24, 141)(25, 108)(26, 145)(27, 147)(28, 146)(29, 110)(30, 144)(31, 111)(32, 153)(33, 112)(34, 155)(35, 157)(36, 118)(37, 114)(38, 116)(39, 115)(40, 150)(41, 152)(42, 148)(43, 119)(44, 164)(45, 120)(46, 166)(47, 168)(48, 126)(49, 122)(50, 124)(51, 123)(52, 138)(53, 163)(54, 136)(55, 162)(56, 137)(57, 128)(58, 171)(59, 130)(60, 176)(61, 131)(62, 178)(63, 170)(64, 165)(65, 179)(66, 151)(67, 149)(68, 140)(69, 160)(70, 142)(71, 183)(72, 143)(73, 185)(74, 159)(75, 154)(76, 186)(77, 184)(78, 182)(79, 181)(80, 156)(81, 180)(82, 158)(83, 161)(84, 177)(85, 175)(86, 174)(87, 167)(88, 173)(89, 169)(90, 172)(91, 192)(92, 191)(93, 190)(94, 189)(95, 188)(96, 187)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 306)(201, 307)(202, 292)(203, 311)(204, 314)(205, 315)(206, 294)(207, 295)(208, 322)(209, 323)(210, 296)(211, 297)(212, 318)(213, 329)(214, 316)(215, 299)(216, 334)(217, 335)(218, 300)(219, 301)(220, 310)(221, 341)(222, 308)(223, 343)(224, 339)(225, 337)(226, 304)(227, 305)(228, 348)(229, 333)(230, 346)(231, 332)(232, 351)(233, 309)(234, 350)(235, 354)(236, 327)(237, 325)(238, 312)(239, 313)(240, 359)(241, 321)(242, 357)(243, 320)(244, 362)(245, 317)(246, 361)(247, 319)(248, 366)(249, 367)(250, 326)(251, 369)(252, 324)(253, 365)(254, 330)(255, 328)(256, 364)(257, 363)(258, 331)(259, 373)(260, 374)(261, 338)(262, 376)(263, 336)(264, 372)(265, 342)(266, 340)(267, 353)(268, 352)(269, 349)(270, 344)(271, 345)(272, 379)(273, 347)(274, 380)(275, 381)(276, 360)(277, 355)(278, 356)(279, 382)(280, 358)(281, 383)(282, 384)(283, 368)(284, 370)(285, 371)(286, 375)(287, 377)(288, 378)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2401
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2403 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 12})
Quotient :: loop^2
Aut^+ = (C2 x D24) : C2 (small group id <96, 156>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-2 * Y1)^2, (Y3^-1 * Y2 * Y1)^2, (Y3^2 * Y2)^2, Y3^-3 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y1 * Y2 * Y3^8 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 40, 136, 232, 328, 45, 141, 237, 333, 78, 174, 270, 366, 94, 190, 286, 382, 83, 179, 275, 371, 63, 159, 255, 351, 44, 140, 236, 332, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 58, 154, 250, 346, 27, 123, 219, 315, 64, 160, 256, 352, 91, 187, 283, 379, 69, 165, 261, 357, 77, 173, 269, 365, 62, 158, 254, 350, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 31, 127, 223, 319, 55, 151, 247, 343, 89, 185, 281, 377, 59, 155, 251, 347, 82, 178, 274, 370, 47, 143, 239, 335, 18, 114, 210, 306, 46, 142, 238, 334, 34, 130, 226, 322, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 49, 145, 241, 337, 37, 133, 229, 325, 75, 171, 267, 363, 41, 137, 233, 329, 68, 164, 260, 356, 29, 125, 221, 317, 9, 105, 201, 297, 28, 124, 220, 316, 52, 148, 244, 340, 20, 116, 212, 308)(12, 108, 204, 300, 35, 131, 227, 323, 15, 111, 207, 303, 42, 138, 234, 330, 74, 170, 266, 362, 85, 181, 277, 373, 48, 144, 240, 336, 84, 180, 276, 372, 51, 147, 243, 339, 87, 183, 279, 375, 66, 162, 258, 354, 36, 132, 228, 324)(13, 109, 205, 301, 38, 134, 230, 326, 16, 112, 208, 304, 43, 139, 235, 331, 50, 146, 242, 338, 86, 182, 278, 374, 65, 161, 257, 353, 92, 188, 284, 380, 67, 163, 259, 355, 93, 189, 285, 381, 76, 172, 268, 364, 39, 135, 231, 327)(21, 117, 213, 309, 53, 149, 245, 341, 24, 120, 216, 312, 60, 156, 252, 348, 88, 184, 280, 376, 71, 167, 263, 359, 30, 126, 222, 318, 70, 166, 262, 358, 33, 129, 225, 321, 73, 169, 265, 361, 80, 176, 272, 368, 54, 150, 246, 342)(22, 118, 214, 310, 56, 152, 248, 344, 25, 121, 217, 313, 61, 157, 253, 349, 32, 128, 224, 320, 72, 168, 264, 360, 79, 175, 271, 367, 95, 191, 287, 383, 81, 177, 273, 369, 96, 192, 288, 384, 90, 186, 282, 378, 57, 153, 249, 345)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 128)(12, 100)(13, 133)(14, 122)(15, 101)(16, 115)(17, 119)(18, 102)(19, 112)(20, 146)(21, 103)(22, 151)(23, 113)(24, 104)(25, 106)(26, 110)(27, 159)(28, 161)(29, 163)(30, 165)(31, 164)(32, 107)(33, 160)(34, 148)(35, 166)(36, 169)(37, 109)(38, 157)(39, 168)(40, 162)(41, 172)(42, 167)(43, 152)(44, 170)(45, 173)(46, 175)(47, 177)(48, 179)(49, 178)(50, 116)(51, 174)(52, 130)(53, 180)(54, 183)(55, 118)(56, 139)(57, 182)(58, 176)(59, 186)(60, 181)(61, 134)(62, 184)(63, 123)(64, 129)(65, 124)(66, 136)(67, 125)(68, 127)(69, 126)(70, 131)(71, 138)(72, 135)(73, 132)(74, 140)(75, 185)(76, 137)(77, 141)(78, 147)(79, 142)(80, 154)(81, 143)(82, 145)(83, 144)(84, 149)(85, 156)(86, 153)(87, 150)(88, 158)(89, 171)(90, 155)(91, 190)(92, 192)(93, 191)(94, 187)(95, 189)(96, 188)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 315)(202, 318)(203, 321)(204, 317)(205, 292)(206, 322)(207, 329)(208, 293)(209, 319)(210, 333)(211, 336)(212, 339)(213, 335)(214, 295)(215, 340)(216, 347)(217, 296)(218, 337)(219, 297)(220, 354)(221, 300)(222, 298)(223, 305)(224, 350)(225, 299)(226, 302)(227, 344)(228, 349)(229, 362)(230, 341)(231, 348)(232, 364)(233, 303)(234, 345)(235, 342)(236, 338)(237, 306)(238, 368)(239, 309)(240, 307)(241, 314)(242, 332)(243, 308)(244, 311)(245, 326)(246, 331)(247, 376)(248, 323)(249, 330)(250, 378)(251, 312)(252, 327)(253, 324)(254, 320)(255, 377)(256, 369)(257, 371)(258, 316)(259, 366)(260, 379)(261, 367)(262, 380)(263, 381)(264, 375)(265, 374)(266, 325)(267, 365)(268, 328)(269, 363)(270, 355)(271, 357)(272, 334)(273, 352)(274, 382)(275, 353)(276, 383)(277, 384)(278, 361)(279, 360)(280, 343)(281, 351)(282, 346)(283, 356)(284, 358)(285, 359)(286, 370)(287, 372)(288, 373)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2400
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.2404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^4, Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 18, 114)(14, 110, 24, 120)(16, 112, 27, 123)(17, 113, 29, 125)(19, 115, 25, 121)(21, 117, 23, 119)(22, 118, 32, 128)(26, 122, 35, 131)(28, 124, 36, 132)(30, 126, 39, 135)(31, 127, 40, 136)(33, 129, 41, 137)(34, 130, 37, 133)(38, 134, 46, 142)(42, 138, 50, 146)(43, 139, 51, 147)(44, 140, 52, 148)(45, 141, 53, 149)(47, 143, 55, 151)(48, 144, 56, 152)(49, 145, 57, 153)(54, 150, 62, 158)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(63, 159, 71, 167)(64, 160, 72, 168)(65, 161, 73, 169)(70, 166, 78, 174)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(79, 175, 87, 183)(80, 176, 88, 184)(81, 177, 89, 185)(86, 182, 90, 186)(91, 187, 96, 192)(92, 188, 95, 191)(93, 189, 94, 190)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 215, 311)(207, 303, 217, 313)(209, 305, 220, 316)(211, 307, 219, 315)(212, 308, 216, 312)(214, 310, 223, 319)(218, 314, 226, 322)(221, 317, 229, 325)(222, 318, 225, 321)(224, 320, 233, 329)(227, 323, 228, 324)(230, 326, 237, 333)(231, 327, 232, 328)(234, 330, 241, 337)(235, 331, 236, 332)(238, 334, 243, 339)(239, 335, 240, 336)(242, 338, 247, 343)(244, 340, 245, 341)(246, 342, 251, 347)(248, 344, 249, 345)(250, 346, 255, 351)(252, 348, 253, 349)(254, 350, 260, 356)(256, 352, 257, 353)(258, 354, 264, 360)(259, 355, 261, 357)(262, 358, 268, 364)(263, 359, 265, 361)(266, 362, 272, 368)(267, 363, 269, 365)(270, 366, 277, 373)(271, 367, 273, 369)(274, 370, 281, 377)(275, 371, 276, 372)(278, 374, 285, 381)(279, 375, 280, 376)(282, 378, 288, 384)(283, 379, 284, 380)(286, 382, 287, 383)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 215)(14, 199)(15, 218)(16, 220)(17, 201)(18, 219)(19, 202)(20, 222)(21, 223)(22, 204)(23, 205)(24, 225)(25, 226)(26, 207)(27, 210)(28, 208)(29, 230)(30, 212)(31, 213)(32, 234)(33, 216)(34, 217)(35, 235)(36, 236)(37, 237)(38, 221)(39, 239)(40, 240)(41, 241)(42, 224)(43, 227)(44, 228)(45, 229)(46, 246)(47, 231)(48, 232)(49, 233)(50, 250)(51, 251)(52, 252)(53, 253)(54, 238)(55, 255)(56, 256)(57, 257)(58, 242)(59, 243)(60, 244)(61, 245)(62, 262)(63, 247)(64, 248)(65, 249)(66, 266)(67, 267)(68, 268)(69, 269)(70, 254)(71, 271)(72, 272)(73, 273)(74, 258)(75, 259)(76, 260)(77, 261)(78, 278)(79, 263)(80, 264)(81, 265)(82, 282)(83, 283)(84, 284)(85, 285)(86, 270)(87, 286)(88, 287)(89, 288)(90, 274)(91, 275)(92, 276)(93, 277)(94, 279)(95, 280)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2410
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2)^4, (Y3 * Y1 * Y3 * Y1 * Y2 * Y1)^2, (Y1 * Y3 * Y2 * Y1 * Y3)^3, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 18, 114)(14, 110, 24, 120)(16, 112, 27, 123)(17, 113, 29, 125)(19, 115, 31, 127)(21, 117, 34, 130)(22, 118, 36, 132)(23, 119, 37, 133)(25, 121, 40, 136)(26, 122, 42, 138)(28, 124, 44, 140)(30, 126, 47, 143)(32, 128, 50, 146)(33, 129, 52, 148)(35, 131, 54, 150)(38, 134, 59, 155)(39, 135, 55, 151)(41, 137, 62, 158)(43, 139, 53, 149)(45, 141, 49, 145)(46, 142, 68, 164)(48, 144, 71, 167)(51, 147, 74, 170)(56, 152, 80, 176)(57, 153, 81, 177)(58, 154, 75, 171)(60, 156, 77, 173)(61, 157, 83, 179)(63, 159, 70, 166)(64, 160, 87, 183)(65, 161, 72, 168)(66, 162, 89, 185)(67, 163, 90, 186)(69, 165, 92, 188)(73, 169, 94, 190)(76, 172, 85, 181)(78, 174, 86, 182)(79, 175, 88, 184)(82, 178, 91, 187)(84, 180, 93, 189)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 215, 311)(207, 303, 217, 313)(209, 305, 220, 316)(211, 307, 222, 318)(212, 308, 224, 320)(214, 310, 227, 323)(216, 312, 230, 326)(218, 314, 233, 329)(219, 315, 232, 328)(221, 317, 237, 333)(223, 319, 240, 336)(225, 321, 243, 339)(226, 322, 242, 338)(228, 324, 247, 343)(229, 325, 249, 345)(231, 327, 252, 348)(234, 330, 255, 351)(235, 331, 253, 349)(236, 332, 257, 353)(238, 334, 259, 355)(239, 335, 261, 357)(241, 337, 264, 360)(244, 340, 267, 363)(245, 341, 265, 361)(246, 342, 269, 365)(248, 344, 271, 367)(250, 346, 274, 370)(251, 347, 273, 369)(254, 350, 276, 372)(256, 352, 278, 374)(258, 354, 280, 376)(260, 356, 279, 375)(262, 358, 285, 381)(263, 359, 284, 380)(266, 362, 283, 379)(268, 364, 281, 377)(270, 366, 282, 378)(272, 368, 277, 373)(275, 371, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 215)(14, 199)(15, 218)(16, 220)(17, 201)(18, 222)(19, 202)(20, 225)(21, 227)(22, 204)(23, 205)(24, 231)(25, 233)(26, 207)(27, 235)(28, 208)(29, 238)(30, 210)(31, 241)(32, 243)(33, 212)(34, 245)(35, 213)(36, 248)(37, 250)(38, 252)(39, 216)(40, 253)(41, 217)(42, 256)(43, 219)(44, 258)(45, 259)(46, 221)(47, 262)(48, 264)(49, 223)(50, 265)(51, 224)(52, 268)(53, 226)(54, 270)(55, 271)(56, 228)(57, 274)(58, 229)(59, 275)(60, 230)(61, 232)(62, 277)(63, 278)(64, 234)(65, 280)(66, 236)(67, 237)(68, 283)(69, 285)(70, 239)(71, 286)(72, 240)(73, 242)(74, 279)(75, 281)(76, 244)(77, 282)(78, 246)(79, 247)(80, 276)(81, 287)(82, 249)(83, 251)(84, 272)(85, 254)(86, 255)(87, 266)(88, 257)(89, 267)(90, 269)(91, 260)(92, 288)(93, 261)(94, 263)(95, 273)(96, 284)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2411
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 35, 131)(26, 122, 37, 133)(27, 123, 32, 128)(29, 125, 34, 130)(39, 135, 49, 145)(40, 136, 50, 146)(41, 137, 51, 147)(42, 138, 52, 148)(43, 139, 48, 144)(44, 140, 53, 149)(45, 141, 54, 150)(46, 142, 55, 151)(47, 143, 56, 152)(57, 153, 65, 161)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(63, 159, 71, 167)(64, 160, 72, 168)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 88, 184)(89, 185, 93, 189)(90, 186, 96, 192)(91, 187, 95, 191)(92, 188, 94, 190)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 233, 329)(219, 315, 235, 331)(220, 316, 234, 330)(222, 318, 232, 328)(223, 319, 236, 332)(225, 321, 238, 334)(227, 323, 240, 336)(228, 324, 239, 335)(230, 326, 237, 333)(241, 337, 249, 345)(242, 338, 251, 347)(243, 339, 252, 348)(244, 340, 250, 346)(245, 341, 253, 349)(246, 342, 255, 351)(247, 343, 256, 352)(248, 344, 254, 350)(257, 353, 265, 361)(258, 354, 267, 363)(259, 355, 268, 364)(260, 356, 266, 362)(261, 357, 269, 365)(262, 358, 271, 367)(263, 359, 272, 368)(264, 360, 270, 366)(273, 369, 281, 377)(274, 370, 283, 379)(275, 371, 284, 380)(276, 372, 282, 378)(277, 373, 285, 381)(278, 374, 287, 383)(279, 375, 288, 384)(280, 376, 286, 382)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 234)(26, 235)(27, 207)(28, 233)(29, 208)(30, 231)(31, 237)(32, 210)(33, 239)(34, 240)(35, 212)(36, 238)(37, 213)(38, 236)(39, 222)(40, 215)(41, 220)(42, 217)(43, 218)(44, 230)(45, 223)(46, 228)(47, 225)(48, 226)(49, 250)(50, 252)(51, 251)(52, 249)(53, 254)(54, 256)(55, 255)(56, 253)(57, 244)(58, 241)(59, 243)(60, 242)(61, 248)(62, 245)(63, 247)(64, 246)(65, 266)(66, 268)(67, 267)(68, 265)(69, 270)(70, 272)(71, 271)(72, 269)(73, 260)(74, 257)(75, 259)(76, 258)(77, 264)(78, 261)(79, 263)(80, 262)(81, 282)(82, 284)(83, 283)(84, 281)(85, 286)(86, 288)(87, 287)(88, 285)(89, 276)(90, 273)(91, 275)(92, 274)(93, 280)(94, 277)(95, 279)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2408
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3 * Y1)^4, (Y1 * Y2 * Y1 * Y3)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 54, 150)(34, 130, 57, 153)(35, 131, 59, 155)(37, 133, 62, 158)(39, 135, 64, 160)(40, 136, 56, 152)(42, 138, 61, 157)(43, 139, 53, 149)(45, 141, 58, 154)(47, 143, 63, 159)(48, 144, 55, 151)(50, 146, 60, 156)(51, 147, 52, 148)(65, 161, 79, 175)(66, 162, 76, 172)(67, 163, 85, 181)(68, 164, 80, 176)(69, 165, 75, 171)(70, 166, 78, 174)(71, 167, 83, 179)(72, 168, 84, 180)(73, 169, 81, 177)(74, 170, 82, 178)(77, 173, 88, 184)(86, 182, 91, 187)(87, 183, 92, 188)(89, 185, 93, 189)(90, 186, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 247, 343)(227, 323, 250, 346)(228, 324, 252, 348)(230, 326, 255, 351)(232, 328, 257, 353)(233, 329, 258, 354)(235, 331, 260, 356)(236, 332, 261, 357)(238, 334, 263, 359)(240, 336, 265, 361)(241, 337, 259, 355)(243, 339, 266, 362)(245, 341, 267, 363)(246, 342, 268, 364)(248, 344, 270, 366)(249, 345, 271, 367)(251, 347, 273, 369)(253, 349, 275, 371)(254, 350, 269, 365)(256, 352, 276, 372)(262, 358, 278, 374)(264, 360, 279, 375)(272, 368, 281, 377)(274, 370, 282, 378)(277, 373, 283, 379)(280, 376, 285, 381)(284, 380, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 248)(34, 250)(35, 212)(36, 253)(37, 213)(38, 256)(39, 257)(40, 215)(41, 259)(42, 260)(43, 217)(44, 262)(45, 218)(46, 264)(47, 265)(48, 220)(49, 258)(50, 266)(51, 222)(52, 267)(53, 223)(54, 269)(55, 270)(56, 225)(57, 272)(58, 226)(59, 274)(60, 275)(61, 228)(62, 268)(63, 276)(64, 230)(65, 231)(66, 241)(67, 233)(68, 234)(69, 278)(70, 236)(71, 279)(72, 238)(73, 239)(74, 242)(75, 244)(76, 254)(77, 246)(78, 247)(79, 281)(80, 249)(81, 282)(82, 251)(83, 252)(84, 255)(85, 284)(86, 261)(87, 263)(88, 286)(89, 271)(90, 273)(91, 287)(92, 277)(93, 288)(94, 280)(95, 283)(96, 285)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2409
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 53, 149, 69, 165, 68, 164, 52, 148, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 34, 130, 56, 152, 74, 170, 84, 180, 78, 174, 62, 158, 45, 141, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 46, 142, 63, 159, 79, 175, 85, 181, 71, 167, 55, 151, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 38, 134, 54, 150, 72, 168, 88, 184, 83, 179, 67, 163, 51, 147, 31, 127, 25, 121, 20, 116)(10, 106, 24, 120, 43, 139, 61, 157, 77, 173, 91, 187, 94, 190, 90, 186, 75, 171, 57, 153, 41, 137, 23, 119)(13, 109, 29, 125, 22, 118, 16, 112, 36, 132, 58, 154, 70, 166, 86, 182, 82, 178, 66, 162, 50, 146, 30, 126)(19, 115, 40, 136, 44, 140, 47, 143, 64, 160, 81, 177, 92, 188, 96, 192, 89, 185, 73, 169, 60, 156, 39, 135)(28, 124, 48, 144, 65, 161, 80, 176, 93, 189, 95, 191, 87, 183, 76, 172, 59, 155, 37, 133, 42, 138, 49, 145)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 213, 309)(212, 308, 221, 317)(215, 311, 234, 330)(216, 312, 236, 332)(218, 314, 222, 318)(219, 315, 239, 335)(224, 320, 237, 333)(225, 321, 246, 342)(227, 323, 249, 345)(228, 324, 230, 326)(231, 327, 233, 329)(232, 328, 241, 337)(235, 331, 240, 336)(238, 334, 253, 349)(242, 338, 243, 339)(244, 340, 258, 354)(245, 341, 262, 358)(247, 343, 265, 361)(248, 344, 250, 346)(251, 347, 252, 348)(254, 350, 259, 355)(255, 351, 272, 368)(256, 352, 257, 353)(260, 356, 275, 371)(261, 357, 276, 372)(263, 359, 279, 375)(264, 360, 266, 362)(267, 363, 268, 364)(269, 365, 273, 369)(270, 366, 274, 370)(271, 367, 284, 380)(277, 373, 286, 382)(278, 374, 280, 376)(281, 377, 282, 378)(283, 379, 285, 381)(287, 383, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 231)(19, 199)(20, 232)(21, 233)(22, 234)(23, 201)(24, 203)(25, 236)(26, 235)(27, 206)(28, 205)(29, 241)(30, 240)(31, 239)(32, 238)(33, 247)(34, 249)(35, 207)(36, 251)(37, 208)(38, 252)(39, 210)(40, 212)(41, 213)(42, 214)(43, 218)(44, 217)(45, 253)(46, 224)(47, 223)(48, 222)(49, 221)(50, 257)(51, 256)(52, 255)(53, 263)(54, 265)(55, 225)(56, 267)(57, 226)(58, 268)(59, 228)(60, 230)(61, 237)(62, 269)(63, 244)(64, 243)(65, 242)(66, 272)(67, 273)(68, 271)(69, 277)(70, 279)(71, 245)(72, 281)(73, 246)(74, 282)(75, 248)(76, 250)(77, 254)(78, 283)(79, 260)(80, 258)(81, 259)(82, 285)(83, 284)(84, 286)(85, 261)(86, 287)(87, 262)(88, 288)(89, 264)(90, 266)(91, 270)(92, 275)(93, 274)(94, 276)(95, 278)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2406
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^3 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^3, (Y1^2 * Y2)^3, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 63, 159, 87, 183, 86, 182, 62, 158, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 34, 130, 59, 155, 74, 170, 90, 186, 68, 164, 40, 136, 54, 150, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 55, 151, 82, 178, 94, 190, 95, 191, 88, 184, 64, 160, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 52, 148, 25, 121, 51, 147, 76, 172, 45, 141, 61, 157, 31, 127, 44, 140, 20, 116)(10, 106, 24, 120, 49, 145, 78, 174, 70, 166, 89, 185, 96, 192, 91, 187, 85, 181, 65, 161, 46, 142, 23, 119)(13, 109, 29, 125, 38, 134, 16, 112, 36, 132, 53, 149, 73, 169, 43, 139, 22, 118, 47, 143, 60, 156, 30, 126)(19, 115, 42, 138, 71, 167, 56, 152, 83, 179, 75, 171, 93, 189, 81, 177, 50, 146, 80, 176, 69, 165, 41, 137)(28, 124, 57, 153, 84, 180, 77, 173, 48, 144, 72, 168, 92, 188, 79, 175, 66, 162, 37, 133, 67, 163, 58, 154)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 237, 333)(215, 311, 240, 336)(216, 312, 242, 338)(218, 314, 245, 341)(219, 315, 248, 344)(221, 317, 243, 339)(222, 318, 251, 347)(224, 320, 246, 342)(225, 321, 244, 340)(227, 323, 257, 353)(228, 324, 253, 349)(230, 326, 260, 356)(231, 327, 252, 348)(233, 329, 262, 358)(234, 330, 264, 360)(236, 332, 266, 362)(238, 334, 267, 363)(239, 335, 254, 350)(241, 337, 271, 367)(247, 343, 270, 366)(249, 345, 277, 373)(250, 346, 273, 369)(255, 351, 265, 361)(256, 352, 272, 368)(258, 354, 275, 371)(259, 355, 281, 377)(261, 357, 276, 372)(263, 359, 283, 379)(268, 364, 278, 374)(269, 365, 274, 370)(279, 375, 282, 378)(280, 376, 284, 380)(285, 381, 286, 382)(287, 383, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 238)(22, 240)(23, 201)(24, 203)(25, 242)(26, 241)(27, 206)(28, 205)(29, 250)(30, 249)(31, 248)(32, 247)(33, 256)(34, 257)(35, 207)(36, 258)(37, 208)(38, 259)(39, 261)(40, 262)(41, 210)(42, 212)(43, 264)(44, 263)(45, 267)(46, 213)(47, 269)(48, 214)(49, 218)(50, 217)(51, 273)(52, 272)(53, 271)(54, 270)(55, 224)(56, 223)(57, 222)(58, 221)(59, 277)(60, 276)(61, 275)(62, 274)(63, 280)(64, 225)(65, 226)(66, 228)(67, 230)(68, 281)(69, 231)(70, 232)(71, 236)(72, 235)(73, 284)(74, 283)(75, 237)(76, 285)(77, 239)(78, 246)(79, 245)(80, 244)(81, 243)(82, 254)(83, 253)(84, 252)(85, 251)(86, 286)(87, 287)(88, 255)(89, 260)(90, 288)(91, 266)(92, 265)(93, 268)(94, 278)(95, 279)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2407
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y2)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y1^2 * Y2 * Y3 * Y1^-1 * Y2 * Y1, (Y2 * Y1^-1)^4, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 53, 149, 69, 165, 68, 164, 52, 148, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 45, 141, 61, 157, 77, 173, 84, 180, 76, 172, 57, 153, 34, 130, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 49, 145, 65, 161, 81, 177, 85, 181, 71, 167, 55, 151, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 31, 127, 51, 147, 67, 163, 83, 179, 90, 186, 73, 169, 54, 150, 44, 140, 20, 116)(10, 106, 24, 120, 43, 139, 56, 152, 74, 170, 89, 185, 94, 190, 92, 188, 79, 175, 62, 158, 47, 143, 23, 119)(13, 109, 29, 125, 50, 146, 66, 162, 82, 178, 87, 183, 70, 166, 60, 156, 38, 134, 16, 112, 36, 132, 30, 126)(19, 115, 42, 138, 59, 155, 72, 168, 88, 184, 96, 192, 93, 189, 78, 174, 64, 160, 48, 144, 22, 118, 41, 137)(25, 121, 37, 133, 58, 154, 75, 171, 86, 182, 95, 191, 91, 187, 80, 176, 63, 159, 46, 142, 28, 124, 40, 136)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 238, 334)(215, 311, 231, 327)(216, 312, 228, 324)(218, 314, 234, 330)(219, 315, 240, 336)(221, 317, 239, 335)(222, 318, 233, 329)(224, 320, 237, 333)(225, 321, 246, 342)(227, 323, 248, 344)(230, 326, 251, 347)(236, 332, 250, 346)(241, 337, 254, 350)(242, 338, 256, 352)(243, 339, 255, 351)(244, 340, 258, 354)(245, 341, 262, 358)(247, 343, 264, 360)(249, 345, 267, 363)(252, 348, 266, 362)(253, 349, 270, 366)(257, 353, 272, 368)(259, 355, 271, 367)(260, 356, 275, 371)(261, 357, 276, 372)(263, 359, 278, 374)(265, 361, 281, 377)(268, 364, 280, 376)(269, 365, 283, 379)(273, 369, 285, 381)(274, 370, 284, 380)(277, 373, 286, 382)(279, 375, 288, 384)(282, 378, 287, 383)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 239)(22, 231)(23, 201)(24, 203)(25, 228)(26, 235)(27, 206)(28, 205)(29, 238)(30, 232)(31, 240)(32, 241)(33, 247)(34, 248)(35, 207)(36, 217)(37, 208)(38, 250)(39, 214)(40, 222)(41, 210)(42, 212)(43, 218)(44, 251)(45, 254)(46, 221)(47, 213)(48, 223)(49, 224)(50, 255)(51, 256)(52, 257)(53, 263)(54, 264)(55, 225)(56, 226)(57, 266)(58, 230)(59, 236)(60, 267)(61, 271)(62, 237)(63, 242)(64, 243)(65, 244)(66, 272)(67, 270)(68, 273)(69, 277)(70, 278)(71, 245)(72, 246)(73, 280)(74, 249)(75, 252)(76, 281)(77, 284)(78, 259)(79, 253)(80, 258)(81, 260)(82, 283)(83, 285)(84, 286)(85, 261)(86, 262)(87, 287)(88, 265)(89, 268)(90, 288)(91, 274)(92, 269)(93, 275)(94, 276)(95, 279)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2404
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-2 * Y2 * Y1^-1)^2, (Y2 * Y1)^4, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^4 * Y2, Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y2 * Y1^-2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 63, 159, 87, 183, 86, 182, 62, 158, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 45, 141, 78, 174, 91, 187, 95, 191, 90, 186, 67, 163, 34, 130, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 55, 151, 85, 181, 93, 189, 96, 192, 89, 185, 65, 161, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 31, 127, 61, 157, 83, 179, 94, 190, 82, 178, 49, 145, 64, 160, 44, 140, 20, 116)(10, 106, 24, 120, 51, 147, 66, 162, 60, 156, 73, 169, 92, 188, 68, 164, 43, 139, 79, 175, 47, 143, 23, 119)(13, 109, 29, 125, 59, 155, 84, 180, 52, 148, 75, 171, 88, 184, 72, 168, 38, 134, 16, 112, 36, 132, 30, 126)(19, 115, 42, 138, 77, 173, 50, 146, 22, 118, 48, 144, 81, 177, 54, 150, 71, 167, 56, 152, 74, 170, 41, 137)(25, 121, 53, 149, 80, 176, 58, 154, 28, 124, 57, 153, 69, 165, 37, 133, 70, 166, 46, 142, 76, 172, 40, 136)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 238, 334)(215, 311, 241, 337)(216, 312, 244, 340)(218, 314, 246, 342)(219, 315, 248, 344)(221, 317, 252, 348)(222, 318, 240, 336)(224, 320, 237, 333)(225, 321, 256, 352)(227, 323, 258, 354)(228, 324, 260, 356)(230, 326, 263, 359)(231, 327, 265, 361)(233, 329, 267, 363)(234, 330, 270, 366)(236, 332, 272, 368)(239, 335, 264, 360)(242, 338, 257, 353)(243, 339, 275, 371)(245, 341, 277, 373)(247, 343, 271, 367)(249, 345, 274, 370)(250, 346, 259, 355)(251, 347, 269, 365)(253, 349, 262, 358)(254, 350, 276, 372)(255, 351, 280, 376)(261, 357, 283, 379)(266, 362, 282, 378)(268, 364, 281, 377)(273, 369, 285, 381)(278, 374, 286, 382)(279, 375, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 239)(22, 241)(23, 201)(24, 203)(25, 244)(26, 243)(27, 206)(28, 205)(29, 250)(30, 249)(31, 248)(32, 247)(33, 257)(34, 258)(35, 207)(36, 261)(37, 208)(38, 262)(39, 266)(40, 267)(41, 210)(42, 212)(43, 270)(44, 269)(45, 271)(46, 264)(47, 213)(48, 274)(49, 214)(50, 256)(51, 218)(52, 217)(53, 276)(54, 275)(55, 224)(56, 223)(57, 222)(58, 221)(59, 272)(60, 259)(61, 263)(62, 277)(63, 281)(64, 242)(65, 225)(66, 226)(67, 252)(68, 283)(69, 228)(70, 230)(71, 253)(72, 238)(73, 282)(74, 231)(75, 232)(76, 280)(77, 236)(78, 235)(79, 237)(80, 251)(81, 286)(82, 240)(83, 246)(84, 245)(85, 254)(86, 285)(87, 288)(88, 268)(89, 255)(90, 265)(91, 260)(92, 287)(93, 278)(94, 273)(95, 284)(96, 279)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2405
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 44, 140)(23, 119, 46, 142)(25, 121, 45, 141)(27, 123, 51, 147)(28, 124, 54, 150)(29, 125, 55, 151)(30, 126, 56, 152)(31, 127, 57, 153)(32, 128, 60, 156)(33, 129, 62, 158)(35, 131, 61, 157)(37, 133, 63, 159)(38, 134, 66, 162)(39, 135, 67, 163)(40, 136, 68, 164)(42, 138, 53, 149)(43, 139, 52, 148)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(50, 146, 76, 172)(58, 154, 65, 161)(59, 155, 64, 160)(69, 165, 79, 175)(70, 166, 88, 184)(71, 167, 85, 181)(72, 168, 82, 178)(77, 173, 84, 180)(78, 174, 83, 179)(80, 176, 86, 182)(81, 177, 87, 183)(89, 185, 94, 190)(90, 186, 93, 189)(91, 187, 96, 192)(92, 188, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(221, 317, 244, 340)(224, 320, 251, 347)(225, 321, 250, 346)(226, 322, 240, 336)(228, 324, 241, 337)(230, 326, 257, 353)(231, 327, 256, 352)(233, 329, 253, 349)(236, 332, 261, 357)(237, 333, 249, 345)(238, 334, 264, 360)(243, 339, 265, 361)(246, 342, 271, 367)(247, 343, 274, 370)(248, 344, 268, 364)(252, 348, 263, 359)(254, 350, 262, 358)(255, 351, 266, 362)(258, 354, 277, 373)(259, 355, 280, 376)(260, 356, 267, 363)(269, 365, 282, 378)(270, 366, 281, 377)(272, 368, 286, 382)(273, 369, 285, 381)(275, 371, 284, 380)(276, 372, 283, 379)(278, 374, 288, 384)(279, 375, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 237)(23, 201)(24, 240)(25, 203)(26, 241)(27, 244)(28, 206)(29, 204)(30, 245)(31, 250)(32, 253)(33, 207)(34, 239)(35, 209)(36, 242)(37, 256)(38, 212)(39, 210)(40, 257)(41, 251)(42, 249)(43, 213)(44, 262)(45, 215)(46, 263)(47, 228)(48, 218)(49, 216)(50, 226)(51, 269)(52, 222)(53, 219)(54, 272)(55, 273)(56, 270)(57, 235)(58, 233)(59, 223)(60, 264)(61, 225)(62, 261)(63, 275)(64, 232)(65, 229)(66, 278)(67, 279)(68, 276)(69, 252)(70, 238)(71, 236)(72, 254)(73, 281)(74, 283)(75, 284)(76, 282)(77, 248)(78, 243)(79, 285)(80, 247)(81, 246)(82, 286)(83, 260)(84, 255)(85, 287)(86, 259)(87, 258)(88, 288)(89, 268)(90, 265)(91, 267)(92, 266)(93, 274)(94, 271)(95, 280)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2414
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^2)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3, (Y3 * Y1 * Y2)^3, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 44, 140)(23, 119, 46, 142)(25, 121, 45, 141)(27, 123, 51, 147)(28, 124, 54, 150)(29, 125, 55, 151)(30, 126, 56, 152)(31, 127, 57, 153)(32, 128, 60, 156)(33, 129, 62, 158)(35, 131, 61, 157)(37, 133, 63, 159)(38, 134, 66, 162)(39, 135, 67, 163)(40, 136, 68, 164)(42, 138, 52, 148)(43, 139, 53, 149)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(50, 146, 76, 172)(58, 154, 64, 160)(59, 155, 65, 161)(69, 165, 82, 178)(70, 166, 88, 184)(71, 167, 85, 181)(72, 168, 79, 175)(77, 173, 84, 180)(78, 174, 83, 179)(80, 176, 86, 182)(81, 177, 87, 183)(89, 185, 93, 189)(90, 186, 94, 190)(91, 187, 96, 192)(92, 188, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(221, 317, 244, 340)(224, 320, 251, 347)(225, 321, 250, 346)(226, 322, 241, 337)(228, 324, 240, 336)(230, 326, 257, 353)(231, 327, 256, 352)(233, 329, 253, 349)(236, 332, 261, 357)(237, 333, 249, 345)(238, 334, 264, 360)(243, 339, 265, 361)(246, 342, 271, 367)(247, 343, 274, 370)(248, 344, 268, 364)(252, 348, 262, 358)(254, 350, 263, 359)(255, 351, 267, 363)(258, 354, 277, 373)(259, 355, 280, 376)(260, 356, 266, 362)(269, 365, 282, 378)(270, 366, 281, 377)(272, 368, 286, 382)(273, 369, 285, 381)(275, 371, 283, 379)(276, 372, 284, 380)(278, 374, 288, 384)(279, 375, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 237)(23, 201)(24, 240)(25, 203)(26, 241)(27, 244)(28, 206)(29, 204)(30, 245)(31, 250)(32, 253)(33, 207)(34, 242)(35, 209)(36, 239)(37, 256)(38, 212)(39, 210)(40, 257)(41, 251)(42, 249)(43, 213)(44, 262)(45, 215)(46, 263)(47, 226)(48, 218)(49, 216)(50, 228)(51, 269)(52, 222)(53, 219)(54, 272)(55, 273)(56, 270)(57, 235)(58, 233)(59, 223)(60, 261)(61, 225)(62, 264)(63, 275)(64, 232)(65, 229)(66, 278)(67, 279)(68, 276)(69, 254)(70, 238)(71, 236)(72, 252)(73, 281)(74, 283)(75, 284)(76, 282)(77, 248)(78, 243)(79, 285)(80, 247)(81, 246)(82, 286)(83, 260)(84, 255)(85, 287)(86, 259)(87, 258)(88, 288)(89, 268)(90, 265)(91, 267)(92, 266)(93, 274)(94, 271)(95, 280)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2415
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y3^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^2 * Y3^-1 * Y1 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-2, Y1^2 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y1^4 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3^-1 * Y2 * Y1^-2 * Y3^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 56, 152, 80, 176, 95, 191, 77, 173, 89, 185, 53, 149, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 57, 153, 88, 184, 43, 139, 68, 164, 26, 122, 67, 163, 86, 182, 39, 135, 13, 109)(4, 100, 15, 111, 41, 137, 58, 154, 24, 120, 37, 133, 81, 177, 96, 192, 74, 170, 90, 186, 45, 141, 16, 112)(6, 102, 20, 116, 54, 150, 59, 155, 69, 165, 79, 175, 91, 187, 82, 178, 52, 148, 75, 171, 29, 125, 9, 105)(8, 104, 25, 121, 38, 134, 83, 179, 42, 138, 73, 169, 34, 130, 61, 157, 55, 151, 51, 147, 71, 167, 27, 123)(10, 106, 30, 126, 76, 172, 84, 180, 44, 140, 78, 174, 32, 128, 50, 146, 18, 114, 49, 145, 64, 160, 23, 119)(12, 108, 35, 131, 66, 162, 92, 188, 47, 143, 17, 113, 46, 142, 62, 158, 22, 118, 60, 156, 70, 166, 36, 132)(14, 110, 40, 136, 87, 183, 93, 189, 65, 161, 28, 124, 72, 168, 48, 144, 85, 181, 94, 190, 63, 159, 33, 129)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 229, 325)(207, 303, 234, 330)(208, 304, 235, 331)(210, 306, 240, 336)(211, 307, 243, 339)(212, 308, 247, 343)(213, 309, 249, 345)(215, 311, 255, 351)(216, 312, 253, 349)(217, 313, 237, 333)(219, 315, 261, 357)(221, 317, 265, 361)(222, 318, 239, 335)(223, 319, 266, 362)(225, 321, 271, 367)(226, 322, 269, 365)(227, 323, 256, 352)(228, 324, 272, 368)(230, 326, 274, 370)(231, 327, 276, 372)(232, 328, 268, 364)(233, 329, 259, 355)(236, 332, 254, 350)(238, 334, 283, 379)(241, 337, 280, 376)(242, 338, 262, 358)(244, 340, 279, 375)(245, 341, 278, 374)(246, 342, 277, 373)(248, 344, 275, 371)(250, 346, 285, 381)(251, 347, 284, 380)(252, 348, 267, 363)(257, 353, 270, 366)(258, 354, 281, 377)(260, 356, 287, 383)(263, 359, 288, 384)(264, 360, 273, 369)(282, 378, 286, 382)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 215)(8, 218)(9, 202)(10, 194)(11, 225)(12, 206)(13, 230)(14, 195)(15, 197)(16, 236)(17, 234)(18, 207)(19, 244)(20, 208)(21, 250)(22, 253)(23, 216)(24, 199)(25, 257)(26, 220)(27, 262)(28, 200)(29, 266)(30, 221)(31, 265)(32, 269)(33, 226)(34, 203)(35, 205)(36, 263)(37, 256)(38, 227)(39, 277)(40, 228)(41, 242)(42, 240)(43, 247)(44, 212)(45, 281)(46, 264)(47, 223)(48, 209)(49, 211)(50, 261)(51, 280)(52, 241)(53, 282)(54, 276)(55, 254)(56, 246)(57, 284)(58, 251)(59, 213)(60, 286)(61, 255)(62, 235)(63, 214)(64, 274)(65, 258)(66, 217)(67, 219)(68, 238)(69, 233)(70, 259)(71, 232)(72, 260)(73, 239)(74, 222)(75, 245)(76, 288)(77, 271)(78, 237)(79, 224)(80, 268)(81, 283)(82, 229)(83, 231)(84, 248)(85, 275)(86, 252)(87, 243)(88, 279)(89, 270)(90, 267)(91, 287)(92, 285)(93, 249)(94, 278)(95, 273)(96, 272)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2412
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (C2 . S4 = SL(2,3) . C2) : C2 (small group id <96, 192>)
Aut   = $<192, 1485>$ (small group id <192, 1485>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y1^-1 * Y3^-2 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-4, Y2 * Y1^3 * Y2 * Y1^-3, Y1^2 * Y3^-1 * Y2 * Y1^2 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 47, 143, 40, 136, 16, 112, 28, 124, 55, 151, 46, 142, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 48, 144, 86, 182, 71, 167, 34, 130, 68, 164, 95, 191, 75, 171, 37, 133, 13, 109)(4, 100, 15, 111, 38, 134, 49, 145, 23, 119, 9, 105, 6, 102, 18, 114, 44, 140, 50, 146, 22, 118, 10, 106)(8, 104, 24, 120, 56, 152, 85, 181, 96, 192, 67, 163, 61, 157, 94, 190, 84, 180, 45, 141, 62, 158, 26, 122)(12, 108, 33, 129, 69, 165, 87, 183, 65, 161, 31, 127, 14, 110, 36, 132, 73, 169, 88, 184, 64, 160, 32, 128)(17, 113, 41, 137, 53, 149, 21, 117, 51, 147, 89, 185, 78, 174, 70, 166, 93, 189, 91, 187, 82, 178, 42, 138)(25, 121, 60, 156, 80, 176, 76, 172, 74, 170, 58, 154, 27, 123, 30, 126, 66, 162, 83, 179, 92, 188, 59, 155)(35, 131, 43, 139, 81, 177, 63, 159, 54, 150, 57, 153, 79, 175, 39, 135, 77, 173, 90, 186, 52, 148, 72, 168)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 231, 327)(208, 304, 226, 322)(210, 306, 235, 331)(211, 307, 237, 333)(212, 308, 240, 336)(214, 310, 246, 342)(215, 311, 244, 340)(216, 312, 249, 345)(218, 314, 223, 319)(220, 316, 253, 349)(221, 317, 255, 351)(224, 320, 259, 355)(225, 321, 262, 358)(228, 324, 233, 329)(229, 325, 266, 362)(230, 326, 268, 364)(232, 328, 270, 366)(234, 330, 272, 368)(236, 332, 275, 371)(238, 334, 267, 363)(239, 335, 277, 373)(241, 337, 280, 376)(242, 338, 279, 375)(243, 339, 256, 352)(245, 341, 250, 346)(247, 343, 283, 379)(248, 344, 265, 361)(251, 347, 285, 381)(252, 348, 260, 356)(254, 350, 273, 369)(257, 353, 274, 370)(258, 354, 281, 377)(261, 357, 276, 372)(263, 359, 271, 367)(264, 360, 286, 382)(269, 365, 288, 384)(278, 374, 284, 380)(282, 378, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 231)(18, 232)(19, 230)(20, 241)(21, 244)(22, 247)(23, 199)(24, 250)(25, 253)(26, 222)(27, 200)(28, 202)(29, 256)(30, 259)(31, 260)(32, 203)(33, 205)(34, 206)(35, 262)(36, 263)(37, 261)(38, 239)(39, 270)(40, 207)(41, 227)(42, 273)(43, 209)(44, 211)(45, 275)(46, 242)(47, 236)(48, 279)(49, 238)(50, 212)(51, 255)(52, 283)(53, 249)(54, 213)(55, 215)(56, 284)(57, 285)(58, 286)(59, 216)(60, 218)(61, 219)(62, 272)(63, 274)(64, 287)(65, 221)(66, 254)(67, 252)(68, 224)(69, 278)(70, 271)(71, 225)(72, 245)(73, 229)(74, 248)(75, 280)(76, 237)(77, 234)(78, 235)(79, 233)(80, 288)(81, 281)(82, 282)(83, 277)(84, 266)(85, 268)(86, 265)(87, 267)(88, 240)(89, 269)(90, 243)(91, 246)(92, 276)(93, 264)(94, 251)(95, 257)(96, 258)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2413
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2416 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: halfedge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^3, (Y3 * Y2 * Y1 * Y2)^2, (Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 120, 24, 108)(14, 124, 28, 110)(15, 125, 29, 111)(16, 127, 31, 112)(18, 121, 25, 114)(19, 131, 35, 115)(20, 132, 36, 116)(22, 133, 37, 118)(23, 135, 39, 119)(26, 139, 43, 122)(27, 140, 44, 123)(30, 143, 47, 126)(32, 146, 50, 128)(33, 147, 51, 129)(34, 148, 52, 130)(38, 155, 59, 134)(40, 158, 62, 136)(41, 159, 63, 137)(42, 160, 64, 138)(45, 165, 69, 141)(46, 161, 65, 142)(48, 156, 60, 144)(49, 163, 67, 145)(53, 154, 58, 149)(54, 162, 66, 150)(55, 157, 61, 151)(56, 174, 78, 152)(57, 175, 79, 153)(68, 184, 88, 164)(70, 183, 87, 166)(71, 187, 91, 167)(72, 181, 85, 168)(73, 179, 83, 169)(74, 186, 90, 170)(75, 178, 82, 171)(76, 182, 86, 172)(77, 176, 80, 173)(81, 190, 94, 177)(84, 189, 93, 180)(89, 188, 92, 185)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 34)(21, 30)(23, 40)(24, 41)(27, 42)(28, 38)(29, 45)(31, 48)(35, 53)(36, 55)(37, 57)(39, 60)(43, 65)(44, 67)(46, 71)(47, 72)(49, 73)(50, 70)(51, 74)(52, 76)(54, 77)(56, 75)(58, 81)(59, 82)(61, 83)(62, 80)(63, 84)(64, 86)(66, 87)(68, 85)(69, 89)(78, 91)(79, 92)(88, 94)(90, 95)(93, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 114)(107, 119)(109, 123)(110, 121)(111, 126)(113, 130)(115, 129)(117, 128)(118, 134)(120, 138)(122, 137)(124, 136)(125, 142)(127, 145)(131, 150)(132, 152)(133, 154)(135, 157)(139, 162)(140, 164)(141, 166)(143, 169)(144, 168)(146, 167)(147, 171)(148, 173)(149, 172)(151, 170)(153, 176)(155, 179)(156, 178)(158, 177)(159, 181)(160, 183)(161, 182)(163, 180)(165, 186)(174, 185)(175, 189)(184, 188)(187, 191)(190, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2417
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2417 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: halfedge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1 * Y2 * Y1^-1 * Y3, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1 * Y3)^2, (Y3 * Y2)^3, (Y1^-1 * Y3 * Y1^-2)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 112, 16, 132, 36, 160, 64, 183, 87, 178, 82, 147, 51, 131, 35, 111, 15, 101, 5, 97)(3, 105, 9, 119, 23, 145, 49, 172, 76, 184, 88, 169, 73, 138, 42, 114, 18, 133, 37, 124, 28, 107, 11, 99)(4, 103, 7, 115, 19, 139, 43, 130, 34, 159, 63, 182, 86, 186, 90, 164, 68, 134, 38, 127, 31, 109, 13, 100)(8, 113, 17, 135, 39, 129, 33, 110, 14, 128, 32, 157, 61, 177, 81, 149, 53, 161, 65, 144, 48, 118, 22, 104)(10, 120, 24, 148, 52, 162, 66, 154, 58, 181, 85, 188, 92, 166, 70, 158, 62, 174, 78, 143, 47, 117, 21, 106)(12, 125, 29, 155, 59, 163, 67, 136, 40, 165, 69, 187, 91, 173, 77, 141, 45, 170, 74, 156, 60, 126, 30, 108)(20, 140, 44, 171, 75, 150, 54, 121, 25, 146, 50, 175, 79, 153, 57, 123, 27, 152, 56, 168, 72, 137, 41, 116)(26, 151, 55, 180, 84, 189, 93, 176, 80, 191, 95, 192, 96, 190, 94, 179, 83, 185, 89, 167, 71, 142, 46, 122)
	L = (1, 3)(2, 7)(4, 12)(5, 14)(6, 17)(8, 21)(9, 24)(10, 26)(11, 27)(13, 25)(15, 34)(16, 37)(18, 41)(19, 44)(20, 46)(22, 45)(23, 50)(28, 58)(29, 55)(30, 53)(31, 36)(32, 59)(33, 62)(35, 49)(38, 67)(39, 69)(40, 71)(42, 70)(43, 74)(47, 76)(48, 64)(51, 81)(52, 65)(54, 83)(56, 84)(57, 68)(60, 80)(61, 85)(63, 72)(66, 89)(73, 87)(75, 88)(77, 94)(78, 93)(79, 95)(82, 90)(86, 91)(92, 96)(97, 100)(98, 104)(99, 106)(101, 107)(102, 114)(103, 116)(105, 121)(108, 122)(109, 126)(110, 125)(111, 129)(112, 134)(113, 136)(115, 141)(117, 142)(118, 143)(119, 147)(120, 149)(123, 151)(124, 153)(127, 150)(128, 154)(130, 152)(131, 139)(132, 161)(133, 162)(135, 166)(137, 167)(138, 168)(140, 172)(144, 173)(145, 174)(146, 176)(148, 179)(155, 164)(156, 177)(157, 178)(158, 180)(159, 165)(160, 184)(163, 185)(169, 188)(170, 189)(171, 190)(175, 186)(181, 191)(182, 183)(187, 192)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2416
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2418 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: edge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y2 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y3 * Y2 * Y3 * Y2)^2, (Y3 * Y1)^8 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 15, 111)(9, 105, 19, 115)(10, 106, 21, 117)(11, 107, 22, 118)(13, 109, 26, 122)(14, 110, 28, 124)(16, 112, 29, 125)(17, 113, 30, 126)(18, 114, 31, 127)(20, 116, 34, 130)(23, 119, 37, 133)(24, 120, 38, 134)(25, 121, 39, 135)(27, 123, 42, 138)(32, 128, 52, 148)(33, 129, 54, 150)(35, 131, 55, 151)(36, 132, 56, 152)(40, 136, 64, 160)(41, 137, 66, 162)(43, 139, 67, 163)(44, 140, 68, 164)(45, 141, 69, 165)(46, 142, 70, 166)(47, 143, 71, 167)(48, 144, 72, 168)(49, 145, 73, 169)(50, 146, 74, 170)(51, 147, 75, 171)(53, 149, 77, 173)(57, 153, 79, 175)(58, 154, 80, 176)(59, 155, 81, 177)(60, 156, 82, 178)(61, 157, 83, 179)(62, 158, 84, 180)(63, 159, 85, 181)(65, 161, 87, 183)(76, 172, 90, 186)(78, 174, 91, 187)(86, 182, 93, 189)(88, 184, 94, 190)(89, 185, 95, 191)(92, 188, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 208)(202, 212)(204, 215)(206, 219)(207, 217)(209, 216)(210, 214)(211, 224)(213, 227)(218, 232)(220, 235)(221, 237)(222, 239)(223, 241)(225, 245)(226, 243)(228, 242)(229, 249)(230, 251)(231, 253)(233, 257)(234, 255)(236, 254)(238, 252)(240, 250)(244, 268)(246, 259)(247, 258)(248, 260)(256, 278)(261, 281)(262, 277)(263, 276)(264, 279)(265, 280)(266, 273)(267, 272)(269, 274)(270, 275)(271, 284)(282, 285)(283, 287)(286, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 299)(296, 305)(297, 306)(300, 312)(301, 313)(303, 315)(304, 311)(307, 321)(308, 310)(309, 324)(314, 329)(316, 332)(317, 334)(318, 336)(319, 338)(320, 339)(322, 341)(323, 337)(325, 346)(326, 348)(327, 350)(328, 351)(330, 353)(331, 349)(333, 347)(335, 345)(340, 357)(342, 359)(343, 358)(344, 366)(352, 367)(354, 369)(355, 368)(356, 376)(360, 374)(361, 371)(362, 373)(363, 372)(364, 370)(365, 377)(375, 380)(378, 382)(379, 381)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2421
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.2419 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 12})
Quotient :: edge^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y2 * Y1)^3, (Y3^-2 * Y1 * Y3^-1)^2, Y3^12 ]
Map:: polytopal
	R = (1, 97, 4, 100, 13, 109, 31, 127, 47, 143, 78, 174, 94, 190, 81, 177, 51, 147, 35, 131, 15, 111, 5, 101)(2, 98, 7, 103, 20, 116, 44, 140, 34, 130, 63, 159, 86, 182, 89, 185, 66, 162, 48, 144, 22, 118, 8, 104)(3, 99, 10, 106, 25, 121, 52, 148, 72, 168, 91, 187, 85, 181, 60, 156, 30, 126, 56, 152, 27, 123, 11, 107)(6, 102, 17, 113, 38, 134, 67, 163, 57, 153, 83, 179, 93, 189, 75, 171, 43, 139, 71, 167, 40, 136, 18, 114)(9, 105, 23, 119, 49, 145, 79, 175, 55, 151, 82, 178, 95, 191, 84, 180, 62, 158, 80, 176, 50, 146, 24, 120)(12, 108, 28, 124, 58, 154, 33, 129, 14, 110, 32, 128, 61, 157, 69, 165, 39, 135, 68, 164, 59, 155, 29, 125)(16, 112, 36, 132, 64, 160, 87, 183, 70, 166, 90, 186, 96, 192, 92, 188, 77, 173, 88, 184, 65, 161, 37, 133)(19, 115, 41, 137, 73, 169, 46, 142, 21, 117, 45, 141, 76, 172, 54, 150, 26, 122, 53, 149, 74, 170, 42, 138)(193, 194)(195, 201)(196, 204)(197, 203)(198, 208)(199, 211)(200, 210)(202, 213)(205, 222)(206, 209)(207, 225)(212, 235)(214, 238)(215, 231)(216, 229)(217, 243)(218, 228)(219, 246)(220, 249)(221, 242)(223, 240)(224, 247)(226, 245)(227, 236)(230, 258)(232, 261)(233, 264)(234, 257)(237, 262)(239, 260)(241, 269)(244, 272)(248, 271)(250, 276)(251, 267)(252, 266)(253, 273)(254, 256)(255, 275)(259, 280)(263, 279)(265, 284)(268, 281)(270, 283)(274, 282)(277, 287)(278, 286)(285, 288)(289, 291)(290, 294)(292, 295)(293, 302)(296, 309)(297, 304)(298, 311)(299, 314)(300, 312)(301, 316)(303, 322)(305, 324)(306, 327)(307, 325)(308, 329)(310, 335)(313, 333)(315, 343)(317, 331)(318, 330)(319, 344)(320, 326)(321, 350)(323, 340)(328, 358)(332, 359)(334, 365)(336, 355)(337, 356)(338, 360)(339, 357)(341, 352)(342, 354)(345, 353)(346, 371)(347, 366)(348, 372)(349, 370)(351, 362)(361, 379)(363, 380)(364, 378)(367, 376)(368, 375)(369, 377)(373, 382)(374, 381)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2420
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2420 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 12})
Quotient :: loop^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y2 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y3 * Y2 * Y3 * Y2)^2, (Y3 * Y1)^8 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 15, 111, 207, 303)(9, 105, 201, 297, 19, 115, 211, 307)(10, 106, 202, 298, 21, 117, 213, 309)(11, 107, 203, 299, 22, 118, 214, 310)(13, 109, 205, 301, 26, 122, 218, 314)(14, 110, 206, 302, 28, 124, 220, 316)(16, 112, 208, 304, 29, 125, 221, 317)(17, 113, 209, 305, 30, 126, 222, 318)(18, 114, 210, 306, 31, 127, 223, 319)(20, 116, 212, 308, 34, 130, 226, 322)(23, 119, 215, 311, 37, 133, 229, 325)(24, 120, 216, 312, 38, 134, 230, 326)(25, 121, 217, 313, 39, 135, 231, 327)(27, 123, 219, 315, 42, 138, 234, 330)(32, 128, 224, 320, 52, 148, 244, 340)(33, 129, 225, 321, 54, 150, 246, 342)(35, 131, 227, 323, 55, 151, 247, 343)(36, 132, 228, 324, 56, 152, 248, 344)(40, 136, 232, 328, 64, 160, 256, 352)(41, 137, 233, 329, 66, 162, 258, 354)(43, 139, 235, 331, 67, 163, 259, 355)(44, 140, 236, 332, 68, 164, 260, 356)(45, 141, 237, 333, 69, 165, 261, 357)(46, 142, 238, 334, 70, 166, 262, 358)(47, 143, 239, 335, 71, 167, 263, 359)(48, 144, 240, 336, 72, 168, 264, 360)(49, 145, 241, 337, 73, 169, 265, 361)(50, 146, 242, 338, 74, 170, 266, 362)(51, 147, 243, 339, 75, 171, 267, 363)(53, 149, 245, 341, 77, 173, 269, 365)(57, 153, 249, 345, 79, 175, 271, 367)(58, 154, 250, 346, 80, 176, 272, 368)(59, 155, 251, 347, 81, 177, 273, 369)(60, 156, 252, 348, 82, 178, 274, 370)(61, 157, 253, 349, 83, 179, 275, 371)(62, 158, 254, 350, 84, 180, 276, 372)(63, 159, 255, 351, 85, 181, 277, 373)(65, 161, 257, 353, 87, 183, 279, 375)(76, 172, 268, 364, 90, 186, 282, 378)(78, 174, 270, 366, 91, 187, 283, 379)(86, 182, 278, 374, 93, 189, 285, 381)(88, 184, 280, 376, 94, 190, 286, 382)(89, 185, 281, 377, 95, 191, 287, 383)(92, 188, 284, 380, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 112)(9, 100)(10, 116)(11, 101)(12, 119)(13, 102)(14, 123)(15, 121)(16, 104)(17, 120)(18, 118)(19, 128)(20, 106)(21, 131)(22, 114)(23, 108)(24, 113)(25, 111)(26, 136)(27, 110)(28, 139)(29, 141)(30, 143)(31, 145)(32, 115)(33, 149)(34, 147)(35, 117)(36, 146)(37, 153)(38, 155)(39, 157)(40, 122)(41, 161)(42, 159)(43, 124)(44, 158)(45, 125)(46, 156)(47, 126)(48, 154)(49, 127)(50, 132)(51, 130)(52, 172)(53, 129)(54, 163)(55, 162)(56, 164)(57, 133)(58, 144)(59, 134)(60, 142)(61, 135)(62, 140)(63, 138)(64, 182)(65, 137)(66, 151)(67, 150)(68, 152)(69, 185)(70, 181)(71, 180)(72, 183)(73, 184)(74, 177)(75, 176)(76, 148)(77, 178)(78, 179)(79, 188)(80, 171)(81, 170)(82, 173)(83, 174)(84, 167)(85, 166)(86, 160)(87, 168)(88, 169)(89, 165)(90, 189)(91, 191)(92, 175)(93, 186)(94, 192)(95, 187)(96, 190)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 299)(200, 305)(201, 306)(202, 292)(203, 295)(204, 312)(205, 313)(206, 294)(207, 315)(208, 311)(209, 296)(210, 297)(211, 321)(212, 310)(213, 324)(214, 308)(215, 304)(216, 300)(217, 301)(218, 329)(219, 303)(220, 332)(221, 334)(222, 336)(223, 338)(224, 339)(225, 307)(226, 341)(227, 337)(228, 309)(229, 346)(230, 348)(231, 350)(232, 351)(233, 314)(234, 353)(235, 349)(236, 316)(237, 347)(238, 317)(239, 345)(240, 318)(241, 323)(242, 319)(243, 320)(244, 357)(245, 322)(246, 359)(247, 358)(248, 366)(249, 335)(250, 325)(251, 333)(252, 326)(253, 331)(254, 327)(255, 328)(256, 367)(257, 330)(258, 369)(259, 368)(260, 376)(261, 340)(262, 343)(263, 342)(264, 374)(265, 371)(266, 373)(267, 372)(268, 370)(269, 377)(270, 344)(271, 352)(272, 355)(273, 354)(274, 364)(275, 361)(276, 363)(277, 362)(278, 360)(279, 380)(280, 356)(281, 365)(282, 382)(283, 381)(284, 375)(285, 379)(286, 378)(287, 384)(288, 383)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2419
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2421 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 12})
Quotient :: loop^2
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y2 * Y1)^3, (Y3^-2 * Y1 * Y3^-1)^2, Y3^12 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 13, 109, 205, 301, 31, 127, 223, 319, 47, 143, 239, 335, 78, 174, 270, 366, 94, 190, 286, 382, 81, 177, 273, 369, 51, 147, 243, 339, 35, 131, 227, 323, 15, 111, 207, 303, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 20, 116, 212, 308, 44, 140, 236, 332, 34, 130, 226, 322, 63, 159, 255, 351, 86, 182, 278, 374, 89, 185, 281, 377, 66, 162, 258, 354, 48, 144, 240, 336, 22, 118, 214, 310, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 25, 121, 217, 313, 52, 148, 244, 340, 72, 168, 264, 360, 91, 187, 283, 379, 85, 181, 277, 373, 60, 156, 252, 348, 30, 126, 222, 318, 56, 152, 248, 344, 27, 123, 219, 315, 11, 107, 203, 299)(6, 102, 198, 294, 17, 113, 209, 305, 38, 134, 230, 326, 67, 163, 259, 355, 57, 153, 249, 345, 83, 179, 275, 371, 93, 189, 285, 381, 75, 171, 267, 363, 43, 139, 235, 331, 71, 167, 263, 359, 40, 136, 232, 328, 18, 114, 210, 306)(9, 105, 201, 297, 23, 119, 215, 311, 49, 145, 241, 337, 79, 175, 271, 367, 55, 151, 247, 343, 82, 178, 274, 370, 95, 191, 287, 383, 84, 180, 276, 372, 62, 158, 254, 350, 80, 176, 272, 368, 50, 146, 242, 338, 24, 120, 216, 312)(12, 108, 204, 300, 28, 124, 220, 316, 58, 154, 250, 346, 33, 129, 225, 321, 14, 110, 206, 302, 32, 128, 224, 320, 61, 157, 253, 349, 69, 165, 261, 357, 39, 135, 231, 327, 68, 164, 260, 356, 59, 155, 251, 347, 29, 125, 221, 317)(16, 112, 208, 304, 36, 132, 228, 324, 64, 160, 256, 352, 87, 183, 279, 375, 70, 166, 262, 358, 90, 186, 282, 378, 96, 192, 288, 384, 92, 188, 284, 380, 77, 173, 269, 365, 88, 184, 280, 376, 65, 161, 257, 353, 37, 133, 229, 325)(19, 115, 211, 307, 41, 137, 233, 329, 73, 169, 265, 361, 46, 142, 238, 334, 21, 117, 213, 309, 45, 141, 237, 333, 76, 172, 268, 364, 54, 150, 246, 342, 26, 122, 218, 314, 53, 149, 245, 341, 74, 170, 266, 362, 42, 138, 234, 330)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 107)(6, 112)(7, 115)(8, 114)(9, 99)(10, 117)(11, 101)(12, 100)(13, 126)(14, 113)(15, 129)(16, 102)(17, 110)(18, 104)(19, 103)(20, 139)(21, 106)(22, 142)(23, 135)(24, 133)(25, 147)(26, 132)(27, 150)(28, 153)(29, 146)(30, 109)(31, 144)(32, 151)(33, 111)(34, 149)(35, 140)(36, 122)(37, 120)(38, 162)(39, 119)(40, 165)(41, 168)(42, 161)(43, 116)(44, 131)(45, 166)(46, 118)(47, 164)(48, 127)(49, 173)(50, 125)(51, 121)(52, 176)(53, 130)(54, 123)(55, 128)(56, 175)(57, 124)(58, 180)(59, 171)(60, 170)(61, 177)(62, 160)(63, 179)(64, 158)(65, 138)(66, 134)(67, 184)(68, 143)(69, 136)(70, 141)(71, 183)(72, 137)(73, 188)(74, 156)(75, 155)(76, 185)(77, 145)(78, 187)(79, 152)(80, 148)(81, 157)(82, 186)(83, 159)(84, 154)(85, 191)(86, 190)(87, 167)(88, 163)(89, 172)(90, 178)(91, 174)(92, 169)(93, 192)(94, 182)(95, 181)(96, 189)(193, 291)(194, 294)(195, 289)(196, 295)(197, 302)(198, 290)(199, 292)(200, 309)(201, 304)(202, 311)(203, 314)(204, 312)(205, 316)(206, 293)(207, 322)(208, 297)(209, 324)(210, 327)(211, 325)(212, 329)(213, 296)(214, 335)(215, 298)(216, 300)(217, 333)(218, 299)(219, 343)(220, 301)(221, 331)(222, 330)(223, 344)(224, 326)(225, 350)(226, 303)(227, 340)(228, 305)(229, 307)(230, 320)(231, 306)(232, 358)(233, 308)(234, 318)(235, 317)(236, 359)(237, 313)(238, 365)(239, 310)(240, 355)(241, 356)(242, 360)(243, 357)(244, 323)(245, 352)(246, 354)(247, 315)(248, 319)(249, 353)(250, 371)(251, 366)(252, 372)(253, 370)(254, 321)(255, 362)(256, 341)(257, 345)(258, 342)(259, 336)(260, 337)(261, 339)(262, 328)(263, 332)(264, 338)(265, 379)(266, 351)(267, 380)(268, 378)(269, 334)(270, 347)(271, 376)(272, 375)(273, 377)(274, 349)(275, 346)(276, 348)(277, 382)(278, 381)(279, 368)(280, 367)(281, 369)(282, 364)(283, 361)(284, 363)(285, 374)(286, 373)(287, 384)(288, 383)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2418
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.2422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y2 * Y1)^8, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 53, 149)(34, 130, 54, 150)(35, 131, 47, 143)(37, 133, 40, 136)(39, 135, 59, 155)(42, 138, 50, 146)(43, 139, 57, 153)(45, 141, 65, 161)(48, 144, 56, 152)(51, 147, 70, 166)(52, 148, 71, 167)(55, 151, 76, 172)(58, 154, 78, 174)(60, 156, 80, 176)(61, 157, 81, 177)(62, 158, 63, 159)(64, 160, 69, 165)(66, 162, 85, 181)(67, 163, 86, 182)(68, 164, 87, 183)(72, 168, 88, 184)(73, 169, 74, 170)(75, 171, 77, 173)(79, 175, 89, 185)(82, 178, 92, 188)(83, 179, 91, 187)(84, 180, 90, 186)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 235, 331)(227, 323, 247, 343)(228, 324, 238, 334)(230, 326, 249, 345)(232, 328, 252, 348)(233, 329, 253, 349)(236, 332, 255, 351)(240, 336, 259, 355)(241, 337, 260, 356)(243, 339, 261, 357)(245, 341, 264, 360)(246, 342, 266, 362)(248, 344, 258, 354)(250, 346, 269, 365)(251, 347, 271, 367)(254, 350, 274, 370)(256, 352, 275, 371)(257, 353, 276, 372)(262, 358, 277, 373)(263, 359, 281, 377)(265, 361, 282, 378)(267, 363, 283, 379)(268, 364, 284, 380)(270, 366, 278, 374)(272, 368, 285, 381)(273, 369, 287, 383)(279, 375, 286, 382)(280, 376, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 241)(32, 210)(33, 234)(34, 247)(35, 212)(36, 248)(37, 213)(38, 250)(39, 252)(40, 215)(41, 254)(42, 225)(43, 217)(44, 256)(45, 218)(46, 258)(47, 259)(48, 220)(49, 223)(50, 261)(51, 222)(52, 260)(53, 265)(54, 267)(55, 226)(56, 228)(57, 269)(58, 230)(59, 257)(60, 231)(61, 274)(62, 233)(63, 275)(64, 236)(65, 251)(66, 238)(67, 239)(68, 244)(69, 242)(70, 280)(71, 268)(72, 282)(73, 245)(74, 283)(75, 246)(76, 263)(77, 249)(78, 273)(79, 276)(80, 286)(81, 270)(82, 253)(83, 255)(84, 271)(85, 288)(86, 287)(87, 285)(88, 262)(89, 284)(90, 264)(91, 266)(92, 281)(93, 279)(94, 272)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2428
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1 * Y3)^3, (Y1 * Y3 * Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y1)^8, (Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 34, 130)(22, 118, 36, 132)(24, 120, 29, 125)(26, 122, 41, 137)(27, 123, 42, 138)(32, 128, 35, 131)(37, 133, 55, 151)(38, 134, 57, 153)(39, 135, 58, 154)(40, 136, 53, 149)(43, 139, 64, 160)(44, 140, 52, 148)(45, 141, 50, 146)(46, 142, 67, 163)(47, 143, 68, 164)(48, 144, 70, 166)(49, 145, 71, 167)(51, 147, 73, 169)(54, 150, 76, 172)(56, 152, 59, 155)(60, 156, 83, 179)(61, 157, 82, 178)(62, 158, 80, 176)(63, 159, 86, 182)(65, 161, 66, 162)(69, 165, 72, 168)(74, 170, 75, 171)(77, 173, 90, 186)(78, 174, 88, 184)(79, 175, 89, 185)(81, 177, 92, 188)(84, 180, 85, 181)(87, 183, 91, 187)(93, 189, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 219, 315)(214, 310, 227, 323)(215, 311, 229, 325)(217, 313, 231, 327)(220, 316, 235, 331)(222, 318, 237, 333)(223, 319, 239, 335)(225, 321, 241, 337)(226, 322, 243, 339)(228, 324, 245, 341)(230, 326, 248, 344)(232, 328, 251, 347)(233, 329, 252, 348)(234, 330, 254, 350)(236, 332, 257, 353)(238, 334, 258, 354)(240, 336, 261, 357)(242, 338, 264, 360)(244, 340, 266, 362)(246, 342, 267, 363)(247, 343, 269, 365)(249, 345, 271, 367)(250, 346, 273, 369)(253, 349, 276, 372)(255, 351, 277, 373)(256, 352, 279, 375)(259, 355, 278, 374)(260, 356, 282, 378)(262, 358, 284, 380)(263, 359, 281, 377)(265, 361, 280, 376)(268, 364, 274, 370)(270, 366, 285, 381)(272, 368, 286, 382)(275, 371, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 218)(21, 227)(22, 204)(23, 230)(24, 205)(25, 232)(26, 212)(27, 207)(28, 236)(29, 208)(30, 238)(31, 240)(32, 210)(33, 242)(34, 244)(35, 213)(36, 246)(37, 248)(38, 215)(39, 251)(40, 217)(41, 253)(42, 255)(43, 257)(44, 220)(45, 258)(46, 222)(47, 261)(48, 223)(49, 264)(50, 225)(51, 266)(52, 226)(53, 267)(54, 228)(55, 270)(56, 229)(57, 272)(58, 274)(59, 231)(60, 276)(61, 233)(62, 277)(63, 234)(64, 280)(65, 235)(66, 237)(67, 281)(68, 283)(69, 239)(70, 275)(71, 278)(72, 241)(73, 279)(74, 243)(75, 245)(76, 273)(77, 285)(78, 247)(79, 286)(80, 249)(81, 268)(82, 250)(83, 262)(84, 252)(85, 254)(86, 263)(87, 265)(88, 256)(89, 259)(90, 288)(91, 260)(92, 287)(93, 269)(94, 271)(95, 284)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2429
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^3, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 14, 110)(11, 107, 18, 114)(13, 109, 21, 117)(15, 111, 22, 118)(16, 112, 25, 121)(17, 113, 26, 122)(19, 115, 27, 123)(20, 116, 30, 126)(23, 119, 34, 130)(24, 120, 35, 131)(28, 124, 41, 137)(29, 125, 42, 138)(31, 127, 38, 134)(32, 128, 46, 142)(33, 129, 47, 143)(36, 132, 50, 146)(37, 133, 53, 149)(39, 135, 55, 151)(40, 136, 56, 152)(43, 139, 59, 155)(44, 140, 62, 158)(45, 141, 63, 159)(48, 144, 66, 162)(49, 145, 61, 157)(51, 147, 60, 156)(52, 148, 58, 154)(54, 150, 70, 166)(57, 153, 73, 169)(64, 160, 77, 173)(65, 161, 75, 171)(67, 163, 78, 174)(68, 164, 72, 168)(69, 165, 80, 176)(71, 167, 81, 177)(74, 170, 82, 178)(76, 172, 84, 180)(79, 175, 86, 182)(83, 179, 89, 185)(85, 181, 91, 187)(87, 183, 92, 188)(88, 184, 93, 189)(90, 186, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 202, 298)(201, 297, 207, 303)(204, 300, 211, 307)(205, 301, 209, 305)(206, 302, 214, 310)(208, 304, 216, 312)(210, 306, 219, 315)(212, 308, 221, 317)(213, 309, 223, 319)(215, 311, 225, 321)(217, 313, 228, 324)(218, 314, 230, 326)(220, 316, 232, 328)(222, 318, 235, 331)(224, 320, 237, 333)(226, 322, 240, 336)(227, 323, 242, 338)(229, 325, 244, 340)(231, 327, 246, 342)(233, 329, 249, 345)(234, 330, 251, 347)(236, 332, 253, 349)(238, 334, 256, 352)(239, 335, 258, 354)(241, 337, 260, 356)(243, 339, 261, 357)(245, 341, 257, 353)(247, 343, 263, 359)(248, 344, 265, 361)(250, 346, 267, 363)(252, 348, 268, 364)(254, 350, 264, 360)(255, 351, 269, 365)(259, 355, 271, 367)(262, 358, 273, 369)(266, 362, 275, 371)(270, 366, 277, 373)(272, 368, 276, 372)(274, 370, 280, 376)(278, 374, 283, 379)(279, 375, 282, 378)(281, 377, 285, 381)(284, 380, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 205)(8, 195)(9, 208)(10, 209)(11, 197)(12, 212)(13, 199)(14, 215)(15, 216)(16, 201)(17, 202)(18, 220)(19, 221)(20, 204)(21, 224)(22, 225)(23, 206)(24, 207)(25, 229)(26, 231)(27, 232)(28, 210)(29, 211)(30, 236)(31, 237)(32, 213)(33, 214)(34, 241)(35, 243)(36, 244)(37, 217)(38, 246)(39, 218)(40, 219)(41, 250)(42, 252)(43, 253)(44, 222)(45, 223)(46, 257)(47, 259)(48, 260)(49, 226)(50, 261)(51, 227)(52, 228)(53, 256)(54, 230)(55, 264)(56, 266)(57, 267)(58, 233)(59, 268)(60, 234)(61, 235)(62, 263)(63, 270)(64, 245)(65, 238)(66, 271)(67, 239)(68, 240)(69, 242)(70, 274)(71, 254)(72, 247)(73, 275)(74, 248)(75, 249)(76, 251)(77, 277)(78, 255)(79, 258)(80, 279)(81, 280)(82, 262)(83, 265)(84, 282)(85, 269)(86, 284)(87, 272)(88, 273)(89, 286)(90, 276)(91, 287)(92, 278)(93, 288)(94, 281)(95, 283)(96, 285)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2427
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^6, (Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 54, 150)(34, 130, 57, 153)(35, 131, 59, 155)(37, 133, 62, 158)(39, 135, 52, 148)(40, 136, 60, 156)(42, 138, 55, 151)(43, 139, 68, 164)(45, 141, 61, 157)(47, 143, 53, 149)(48, 144, 58, 154)(50, 146, 67, 163)(51, 147, 74, 170)(56, 152, 78, 174)(63, 159, 77, 173)(64, 160, 84, 180)(65, 161, 79, 175)(66, 162, 76, 172)(69, 165, 75, 171)(70, 166, 85, 181)(71, 167, 83, 179)(72, 168, 89, 185)(73, 169, 81, 177)(80, 176, 90, 186)(82, 178, 94, 190)(86, 182, 93, 189)(87, 183, 95, 191)(88, 184, 91, 187)(92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 247, 343)(227, 323, 250, 346)(228, 324, 252, 348)(230, 326, 255, 351)(232, 328, 257, 353)(233, 329, 258, 354)(235, 331, 254, 350)(236, 332, 261, 357)(238, 334, 251, 347)(240, 336, 264, 360)(241, 337, 248, 344)(243, 339, 265, 361)(245, 341, 267, 363)(246, 342, 268, 364)(249, 345, 271, 367)(253, 349, 274, 370)(256, 352, 275, 371)(259, 355, 277, 373)(260, 356, 278, 374)(262, 358, 280, 376)(263, 359, 273, 369)(266, 362, 279, 375)(269, 365, 282, 378)(270, 366, 283, 379)(272, 368, 285, 381)(276, 372, 284, 380)(281, 377, 286, 382)(287, 383, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 248)(34, 250)(35, 212)(36, 253)(37, 213)(38, 256)(39, 257)(40, 215)(41, 259)(42, 254)(43, 217)(44, 262)(45, 218)(46, 263)(47, 264)(48, 220)(49, 247)(50, 265)(51, 222)(52, 267)(53, 223)(54, 269)(55, 241)(56, 225)(57, 272)(58, 226)(59, 273)(60, 274)(61, 228)(62, 234)(63, 275)(64, 230)(65, 231)(66, 277)(67, 233)(68, 279)(69, 280)(70, 236)(71, 238)(72, 239)(73, 242)(74, 278)(75, 244)(76, 282)(77, 246)(78, 284)(79, 285)(80, 249)(81, 251)(82, 252)(83, 255)(84, 283)(85, 258)(86, 266)(87, 260)(88, 261)(89, 287)(90, 268)(91, 276)(92, 270)(93, 271)(94, 288)(95, 281)(96, 286)(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) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2426
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1^-2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 59, 155, 82, 178, 78, 174, 58, 154, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 34, 130, 62, 158, 40, 136, 68, 164, 57, 153, 79, 175, 52, 148, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 53, 149, 80, 176, 93, 189, 94, 190, 83, 179, 61, 157, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 60, 156, 84, 180, 64, 160, 51, 147, 25, 121, 50, 146, 31, 127, 44, 140, 20, 116)(10, 106, 24, 120, 48, 144, 75, 171, 92, 188, 81, 177, 89, 185, 69, 165, 87, 183, 63, 159, 45, 141, 23, 119)(13, 109, 29, 125, 38, 134, 16, 112, 36, 132, 22, 118, 46, 142, 73, 169, 86, 182, 72, 168, 43, 139, 30, 126)(19, 115, 42, 138, 70, 166, 54, 150, 77, 173, 49, 145, 76, 172, 88, 184, 95, 191, 85, 181, 67, 163, 41, 137)(28, 124, 55, 151, 71, 167, 90, 186, 96, 192, 91, 187, 74, 170, 47, 143, 65, 161, 37, 133, 66, 162, 56, 152)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 236, 332)(215, 311, 239, 335)(216, 312, 241, 337)(218, 314, 230, 326)(219, 315, 246, 342)(221, 317, 231, 327)(222, 318, 249, 345)(224, 320, 244, 340)(225, 321, 252, 348)(227, 323, 255, 351)(228, 324, 256, 352)(233, 329, 261, 357)(234, 330, 263, 359)(237, 333, 262, 358)(238, 334, 251, 347)(240, 336, 258, 354)(242, 338, 265, 361)(243, 339, 270, 366)(245, 341, 267, 363)(247, 343, 273, 369)(248, 344, 259, 355)(250, 346, 264, 360)(253, 349, 277, 373)(254, 350, 278, 374)(257, 353, 280, 376)(260, 356, 274, 370)(266, 362, 275, 371)(268, 364, 285, 381)(269, 365, 283, 379)(271, 367, 276, 372)(272, 368, 282, 378)(279, 375, 288, 384)(281, 377, 286, 382)(284, 380, 287, 383)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 237)(22, 239)(23, 201)(24, 203)(25, 241)(26, 240)(27, 206)(28, 205)(29, 248)(30, 247)(31, 246)(32, 245)(33, 253)(34, 255)(35, 207)(36, 257)(37, 208)(38, 258)(39, 259)(40, 261)(41, 210)(42, 212)(43, 263)(44, 262)(45, 213)(46, 266)(47, 214)(48, 218)(49, 217)(50, 269)(51, 268)(52, 267)(53, 224)(54, 223)(55, 222)(56, 221)(57, 273)(58, 272)(59, 275)(60, 277)(61, 225)(62, 279)(63, 226)(64, 280)(65, 228)(66, 230)(67, 231)(68, 281)(69, 232)(70, 236)(71, 235)(72, 282)(73, 283)(74, 238)(75, 244)(76, 243)(77, 242)(78, 285)(79, 284)(80, 250)(81, 249)(82, 286)(83, 251)(84, 287)(85, 252)(86, 288)(87, 254)(88, 256)(89, 260)(90, 264)(91, 265)(92, 271)(93, 270)(94, 274)(95, 276)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2425
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^3, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 31, 127, 53, 149, 75, 171, 74, 170, 52, 148, 30, 126, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 32, 128, 56, 152, 79, 175, 90, 186, 81, 177, 64, 160, 47, 143, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 48, 144, 71, 167, 88, 184, 91, 187, 77, 173, 55, 151, 33, 129, 17, 113, 8, 104)(7, 103, 18, 114, 37, 133, 54, 150, 41, 137, 65, 161, 85, 181, 73, 169, 51, 147, 29, 125, 40, 136, 20, 116)(10, 106, 24, 120, 45, 141, 69, 165, 84, 180, 94, 190, 96, 192, 93, 189, 80, 176, 57, 153, 42, 138, 23, 119)(13, 109, 28, 124, 36, 132, 16, 112, 34, 130, 58, 154, 76, 172, 61, 157, 46, 142, 68, 164, 44, 140, 22, 118)(19, 115, 39, 135, 63, 159, 49, 145, 72, 168, 89, 185, 95, 191, 86, 182, 66, 162, 78, 174, 62, 158, 38, 134)(27, 123, 43, 139, 67, 163, 87, 183, 70, 166, 83, 179, 92, 188, 82, 178, 59, 155, 35, 131, 60, 156, 50, 146)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 210, 306)(204, 300, 219, 315)(206, 302, 221, 317)(207, 303, 224, 320)(209, 305, 227, 323)(212, 308, 226, 322)(213, 309, 233, 329)(215, 311, 235, 331)(216, 312, 230, 326)(217, 313, 238, 334)(218, 314, 241, 337)(220, 316, 243, 339)(222, 318, 239, 335)(223, 319, 246, 342)(225, 321, 249, 345)(228, 324, 248, 344)(229, 325, 253, 349)(231, 327, 251, 347)(232, 328, 256, 352)(234, 330, 258, 354)(236, 332, 257, 353)(237, 333, 262, 358)(240, 336, 261, 357)(242, 338, 264, 360)(244, 340, 260, 356)(245, 341, 268, 364)(247, 343, 270, 366)(250, 346, 273, 369)(252, 348, 272, 368)(254, 350, 275, 371)(255, 351, 276, 372)(259, 355, 278, 374)(263, 359, 279, 375)(265, 361, 271, 367)(266, 362, 277, 373)(267, 363, 282, 378)(269, 365, 284, 380)(274, 370, 286, 382)(280, 376, 287, 383)(281, 377, 285, 381)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 225)(16, 227)(17, 198)(18, 230)(19, 199)(20, 231)(21, 234)(22, 235)(23, 201)(24, 203)(25, 237)(26, 206)(27, 205)(28, 242)(29, 241)(30, 240)(31, 247)(32, 249)(33, 207)(34, 251)(35, 208)(36, 252)(37, 254)(38, 210)(39, 212)(40, 255)(41, 258)(42, 213)(43, 214)(44, 259)(45, 217)(46, 262)(47, 261)(48, 222)(49, 221)(50, 220)(51, 264)(52, 263)(53, 269)(54, 270)(55, 223)(56, 272)(57, 224)(58, 274)(59, 226)(60, 228)(61, 275)(62, 229)(63, 232)(64, 276)(65, 278)(66, 233)(67, 236)(68, 279)(69, 239)(70, 238)(71, 244)(72, 243)(73, 281)(74, 280)(75, 283)(76, 284)(77, 245)(78, 246)(79, 285)(80, 248)(81, 286)(82, 250)(83, 253)(84, 256)(85, 287)(86, 257)(87, 260)(88, 266)(89, 265)(90, 288)(91, 267)(92, 268)(93, 271)(94, 273)(95, 277)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2424
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-3)^2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y2, (Y2 * Y1 * Y2 * Y1^-1)^3, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 65, 161, 90, 186, 89, 185, 64, 160, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 45, 141, 75, 171, 85, 181, 94, 190, 72, 168, 69, 165, 34, 130, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 56, 152, 84, 180, 79, 175, 95, 191, 82, 178, 67, 163, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 31, 127, 63, 159, 49, 145, 78, 174, 83, 179, 91, 187, 66, 162, 44, 140, 20, 116)(10, 106, 24, 120, 51, 147, 68, 164, 74, 170, 43, 139, 73, 169, 61, 157, 87, 183, 76, 172, 47, 143, 23, 119)(13, 109, 29, 125, 60, 156, 86, 182, 96, 192, 77, 173, 80, 176, 52, 148, 38, 134, 16, 112, 36, 132, 30, 126)(19, 115, 42, 138, 62, 158, 88, 184, 93, 189, 70, 166, 50, 146, 22, 118, 48, 144, 57, 153, 55, 151, 41, 137)(25, 121, 53, 149, 81, 177, 92, 188, 71, 167, 40, 136, 59, 155, 28, 124, 58, 154, 46, 142, 37, 133, 54, 150)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 235, 331)(213, 309, 238, 334)(215, 311, 241, 337)(216, 312, 244, 340)(218, 314, 247, 343)(219, 315, 249, 345)(221, 317, 253, 349)(222, 318, 254, 350)(224, 320, 237, 333)(225, 321, 258, 354)(227, 323, 260, 356)(228, 324, 239, 335)(230, 326, 262, 358)(231, 327, 243, 339)(233, 329, 252, 348)(234, 330, 264, 360)(236, 332, 250, 346)(240, 336, 269, 365)(242, 338, 271, 367)(245, 341, 274, 370)(246, 342, 275, 371)(248, 344, 268, 364)(251, 347, 277, 373)(255, 351, 273, 369)(256, 352, 278, 374)(257, 353, 272, 368)(259, 355, 280, 376)(261, 357, 284, 380)(263, 359, 276, 372)(265, 361, 287, 383)(266, 362, 288, 384)(267, 363, 285, 381)(270, 366, 281, 377)(279, 375, 283, 379)(282, 378, 286, 382)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 234)(21, 239)(22, 241)(23, 201)(24, 203)(25, 244)(26, 243)(27, 206)(28, 205)(29, 251)(30, 250)(31, 249)(32, 248)(33, 259)(34, 260)(35, 207)(36, 238)(37, 208)(38, 246)(39, 247)(40, 252)(41, 210)(42, 212)(43, 264)(44, 254)(45, 268)(46, 228)(47, 213)(48, 255)(49, 214)(50, 270)(51, 218)(52, 217)(53, 272)(54, 230)(55, 231)(56, 224)(57, 223)(58, 222)(59, 221)(60, 232)(61, 277)(62, 236)(63, 240)(64, 276)(65, 274)(66, 280)(67, 225)(68, 226)(69, 266)(70, 275)(71, 278)(72, 235)(73, 286)(74, 261)(75, 279)(76, 237)(77, 273)(78, 242)(79, 281)(80, 245)(81, 269)(82, 257)(83, 262)(84, 256)(85, 253)(86, 263)(87, 267)(88, 258)(89, 271)(90, 287)(91, 285)(92, 288)(93, 283)(94, 265)(95, 282)(96, 284)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2422
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y2, (Y1^-2 * Y2 * Y1^-1)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 33, 129, 57, 153, 83, 179, 82, 178, 56, 152, 32, 128, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 43, 139, 69, 165, 90, 186, 94, 190, 86, 182, 61, 157, 34, 130, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 50, 146, 78, 174, 93, 189, 95, 191, 85, 181, 59, 155, 35, 131, 17, 113, 8, 104)(7, 103, 18, 114, 39, 135, 31, 127, 55, 151, 81, 177, 91, 187, 76, 172, 75, 171, 58, 154, 42, 138, 20, 116)(10, 106, 24, 120, 47, 143, 60, 156, 62, 158, 87, 183, 96, 192, 88, 184, 65, 161, 70, 166, 45, 141, 23, 119)(13, 109, 29, 125, 53, 149, 79, 175, 72, 168, 74, 170, 84, 180, 64, 160, 38, 134, 16, 112, 36, 132, 30, 126)(19, 115, 22, 118, 46, 142, 73, 169, 49, 145, 77, 173, 92, 188, 80, 176, 54, 150, 51, 147, 66, 162, 41, 137)(25, 121, 28, 124, 52, 148, 63, 159, 37, 133, 40, 136, 67, 163, 89, 185, 68, 164, 44, 140, 71, 167, 48, 144)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 226, 322)(209, 305, 229, 325)(210, 306, 232, 328)(212, 308, 215, 311)(213, 309, 236, 332)(216, 312, 221, 317)(218, 314, 241, 337)(219, 315, 243, 339)(222, 318, 246, 342)(224, 320, 235, 331)(225, 321, 250, 346)(227, 323, 252, 348)(228, 324, 254, 350)(230, 326, 233, 329)(231, 327, 257, 353)(234, 330, 260, 356)(237, 333, 264, 360)(238, 334, 266, 362)(239, 335, 267, 363)(240, 336, 268, 364)(242, 338, 262, 358)(244, 340, 247, 343)(245, 341, 269, 365)(248, 344, 271, 367)(249, 345, 276, 372)(251, 347, 265, 361)(253, 349, 255, 351)(256, 352, 280, 376)(258, 354, 261, 357)(259, 355, 282, 378)(263, 359, 270, 366)(272, 368, 278, 374)(273, 369, 279, 375)(274, 370, 283, 379)(275, 371, 286, 382)(277, 373, 281, 377)(284, 380, 285, 381)(287, 383, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 227)(16, 229)(17, 198)(18, 233)(19, 199)(20, 214)(21, 237)(22, 212)(23, 201)(24, 203)(25, 221)(26, 239)(27, 206)(28, 205)(29, 217)(30, 244)(31, 243)(32, 242)(33, 251)(34, 252)(35, 207)(36, 255)(37, 208)(38, 232)(39, 258)(40, 230)(41, 210)(42, 238)(43, 262)(44, 264)(45, 213)(46, 234)(47, 218)(48, 245)(49, 267)(50, 224)(51, 223)(52, 222)(53, 240)(54, 247)(55, 246)(56, 270)(57, 277)(58, 265)(59, 225)(60, 226)(61, 254)(62, 253)(63, 228)(64, 259)(65, 261)(66, 231)(67, 256)(68, 266)(69, 257)(70, 235)(71, 271)(72, 236)(73, 250)(74, 260)(75, 241)(76, 269)(77, 268)(78, 248)(79, 263)(80, 273)(81, 272)(82, 285)(83, 287)(84, 281)(85, 249)(86, 279)(87, 278)(88, 282)(89, 276)(90, 280)(91, 284)(92, 283)(93, 274)(94, 288)(95, 275)(96, 286)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2423
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2430 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2^-1 * T1 * T2^-1)^2, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-1 * T1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 25, 13)(6, 16, 28, 17)(9, 23, 15, 24)(11, 26, 14, 27)(18, 29, 22, 30)(20, 31, 21, 32)(33, 41, 36, 42)(34, 43, 35, 44)(37, 45, 40, 46)(38, 47, 39, 48)(49, 57, 52, 58)(50, 59, 51, 60)(53, 61, 56, 62)(54, 63, 55, 64)(65, 73, 68, 74)(66, 75, 67, 76)(69, 77, 72, 78)(70, 79, 71, 80)(81, 89, 84, 90)(82, 91, 83, 92)(85, 93, 88, 94)(86, 95, 87, 96)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 121, 124, 115)(119, 129, 122, 130)(120, 131, 123, 132)(125, 133, 127, 134)(126, 135, 128, 136)(137, 145, 139, 146)(138, 147, 140, 148)(141, 149, 143, 150)(142, 151, 144, 152)(153, 161, 155, 162)(154, 163, 156, 164)(157, 165, 159, 166)(158, 167, 160, 168)(169, 177, 171, 178)(170, 179, 172, 180)(173, 181, 175, 182)(174, 183, 176, 184)(185, 191, 187, 189)(186, 190, 188, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2437
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2431 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-2 * T1)^2, (T2^-2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 48, 64, 80, 68, 52, 34, 16, 5)(2, 7, 20, 39, 57, 73, 88, 76, 60, 44, 24, 8)(4, 12, 31, 49, 65, 81, 92, 78, 62, 46, 27, 13)(6, 17, 35, 53, 69, 84, 94, 85, 70, 54, 36, 18)(9, 25, 15, 33, 51, 67, 83, 91, 77, 61, 45, 26)(11, 29, 14, 32, 50, 66, 82, 93, 79, 63, 47, 30)(19, 37, 23, 43, 59, 75, 90, 95, 86, 71, 55, 38)(21, 40, 22, 42, 58, 74, 89, 96, 87, 72, 56, 41)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 131, 120)(112, 127, 132, 116)(121, 136, 125, 133)(122, 139, 126, 138)(124, 143, 149, 141)(128, 137, 129, 134)(130, 147, 150, 146)(135, 152, 145, 151)(140, 155, 142, 154)(144, 156, 165, 158)(148, 153, 166, 161)(157, 170, 159, 171)(160, 173, 180, 175)(162, 167, 163, 168)(164, 178, 181, 179)(169, 182, 177, 183)(172, 185, 174, 186)(176, 188, 190, 184)(187, 191, 189, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2434
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2432 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 68, 52, 32, 14, 5)(2, 7, 18, 40, 57, 73, 88, 76, 60, 44, 20, 8)(4, 11, 26, 49, 65, 81, 93, 79, 63, 47, 28, 12)(6, 15, 34, 53, 69, 84, 94, 85, 70, 54, 36, 16)(9, 21, 35, 31, 51, 67, 83, 91, 77, 61, 45, 22)(13, 29, 50, 66, 82, 92, 78, 62, 46, 23, 33, 30)(17, 37, 27, 43, 59, 75, 90, 95, 86, 71, 55, 38)(19, 41, 58, 74, 89, 96, 87, 72, 56, 39, 25, 42)(97, 98, 102, 100)(99, 105, 115, 104)(101, 107, 121, 109)(103, 113, 131, 112)(106, 119, 130, 118)(108, 111, 129, 123)(110, 125, 132, 127)(114, 135, 122, 134)(116, 137, 124, 139)(117, 133, 126, 138)(120, 143, 154, 142)(128, 147, 152, 136)(140, 155, 141, 149)(144, 156, 165, 159)(145, 150, 146, 151)(148, 153, 166, 161)(157, 171, 158, 170)(160, 173, 185, 172)(162, 168, 163, 167)(164, 177, 183, 178)(169, 182, 179, 181)(174, 186, 175, 180)(176, 188, 190, 187)(184, 192, 189, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2435
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2433 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^3 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1, T2 * T1 * T2^-3 * T1^2 * T2^-1 * T1 * T2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^2 * T2 * T1 * T2^-1 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 62, 82, 96, 76, 75, 40, 16, 5)(2, 7, 20, 50, 89, 71, 95, 67, 94, 56, 24, 8)(4, 12, 33, 69, 91, 53, 87, 47, 86, 64, 29, 13)(6, 17, 42, 79, 72, 37, 58, 25, 57, 85, 46, 18)(9, 26, 14, 38, 73, 81, 43, 80, 45, 84, 61, 27)(11, 30, 15, 39, 74, 78, 41, 77, 44, 83, 63, 31)(19, 48, 22, 54, 92, 70, 34, 59, 36, 60, 88, 49)(21, 51, 23, 55, 93, 68, 32, 65, 35, 66, 90, 52)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 133, 111)(103, 115, 143, 117)(104, 118, 149, 119)(106, 120, 138, 125)(108, 128, 163, 130)(109, 131, 167, 132)(112, 116, 142, 129)(113, 137, 172, 139)(114, 140, 178, 141)(122, 155, 173, 147)(123, 156, 174, 151)(124, 157, 181, 159)(126, 161, 176, 144)(127, 162, 177, 150)(134, 166, 179, 148)(135, 164, 180, 145)(136, 169, 175, 170)(146, 184, 160, 186)(152, 188, 165, 189)(153, 187, 171, 185)(154, 183, 192, 191)(158, 190, 168, 182)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2436
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2434 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2^-1 * T1 * T2^-1)^2, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-1 * T1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 25, 121, 13, 109)(6, 102, 16, 112, 28, 124, 17, 113)(9, 105, 23, 119, 15, 111, 24, 120)(11, 107, 26, 122, 14, 110, 27, 123)(18, 114, 29, 125, 22, 118, 30, 126)(20, 116, 31, 127, 21, 117, 32, 128)(33, 129, 41, 137, 36, 132, 42, 138)(34, 130, 43, 139, 35, 131, 44, 140)(37, 133, 45, 141, 40, 136, 46, 142)(38, 134, 47, 143, 39, 135, 48, 144)(49, 145, 57, 153, 52, 148, 58, 154)(50, 146, 59, 155, 51, 147, 60, 156)(53, 149, 61, 157, 56, 152, 62, 158)(54, 150, 63, 159, 55, 151, 64, 160)(65, 161, 73, 169, 68, 164, 74, 170)(66, 162, 75, 171, 67, 163, 76, 172)(69, 165, 77, 173, 72, 168, 78, 174)(70, 166, 79, 175, 71, 167, 80, 176)(81, 177, 89, 185, 84, 180, 90, 186)(82, 178, 91, 187, 83, 179, 92, 188)(85, 181, 93, 189, 88, 184, 94, 190)(86, 182, 95, 191, 87, 183, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 121)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 106)(20, 103)(21, 109)(22, 104)(23, 129)(24, 131)(25, 124)(26, 130)(27, 132)(28, 115)(29, 133)(30, 135)(31, 134)(32, 136)(33, 122)(34, 119)(35, 123)(36, 120)(37, 127)(38, 125)(39, 128)(40, 126)(41, 145)(42, 147)(43, 146)(44, 148)(45, 149)(46, 151)(47, 150)(48, 152)(49, 139)(50, 137)(51, 140)(52, 138)(53, 143)(54, 141)(55, 144)(56, 142)(57, 161)(58, 163)(59, 162)(60, 164)(61, 165)(62, 167)(63, 166)(64, 168)(65, 155)(66, 153)(67, 156)(68, 154)(69, 159)(70, 157)(71, 160)(72, 158)(73, 177)(74, 179)(75, 178)(76, 180)(77, 181)(78, 183)(79, 182)(80, 184)(81, 171)(82, 169)(83, 172)(84, 170)(85, 175)(86, 173)(87, 176)(88, 174)(89, 191)(90, 190)(91, 189)(92, 192)(93, 185)(94, 188)(95, 187)(96, 186)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2431
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2435 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, (T2 * T1^-2)^2, (T2 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 25, 121, 13, 109)(6, 102, 16, 112, 28, 124, 17, 113)(9, 105, 23, 119, 14, 110, 24, 120)(11, 107, 26, 122, 15, 111, 27, 123)(18, 114, 29, 125, 21, 117, 30, 126)(20, 116, 31, 127, 22, 118, 32, 128)(33, 129, 41, 137, 35, 131, 42, 138)(34, 130, 43, 139, 36, 132, 44, 140)(37, 133, 45, 141, 39, 135, 46, 142)(38, 134, 47, 143, 40, 136, 48, 144)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 113)(10, 115)(11, 99)(12, 118)(13, 116)(14, 112)(15, 101)(16, 111)(17, 107)(18, 109)(19, 124)(20, 103)(21, 108)(22, 104)(23, 129)(24, 131)(25, 106)(26, 132)(27, 130)(28, 121)(29, 133)(30, 135)(31, 136)(32, 134)(33, 123)(34, 119)(35, 122)(36, 120)(37, 128)(38, 125)(39, 127)(40, 126)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 140)(50, 137)(51, 139)(52, 138)(53, 144)(54, 141)(55, 143)(56, 142)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 156)(66, 153)(67, 155)(68, 154)(69, 160)(70, 157)(71, 159)(72, 158)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 172)(82, 169)(83, 171)(84, 170)(85, 176)(86, 173)(87, 175)(88, 174)(89, 190)(90, 189)(91, 192)(92, 191)(93, 187)(94, 188)(95, 185)(96, 186)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2432
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2436 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T1^-1 * T2 * T1 * T2^-2 * T1 * T2 * T1^-1, T2 * T1^-2 * T2 * T1^-1 * T2^-2 * T1^-1, T1^2 * T2^-2 * T1^2 * T2^2, T1^2 * T2^-2 * T1^-2 * T2^-2, T2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 31, 127, 13, 109)(6, 102, 16, 112, 41, 137, 17, 113)(9, 105, 24, 120, 44, 140, 25, 121)(11, 107, 28, 124, 43, 139, 29, 125)(14, 110, 36, 132, 42, 138, 37, 133)(15, 111, 38, 134, 40, 136, 39, 135)(18, 114, 46, 142, 34, 130, 47, 143)(20, 116, 50, 146, 33, 129, 51, 147)(21, 117, 53, 149, 32, 128, 54, 150)(22, 118, 55, 151, 30, 126, 56, 152)(23, 119, 48, 144, 35, 131, 57, 153)(26, 122, 62, 158, 79, 175, 63, 159)(27, 123, 52, 148, 70, 166, 45, 141)(49, 145, 69, 165, 88, 184, 68, 164)(58, 154, 80, 176, 67, 163, 81, 177)(59, 155, 82, 178, 66, 162, 83, 179)(60, 156, 84, 180, 65, 161, 85, 181)(61, 157, 86, 182, 64, 160, 87, 183)(71, 167, 89, 185, 78, 174, 90, 186)(72, 168, 91, 187, 77, 173, 92, 188)(73, 169, 93, 189, 76, 172, 94, 190)(74, 170, 95, 191, 75, 171, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 126)(13, 129)(14, 131)(15, 101)(16, 136)(17, 139)(18, 141)(19, 144)(20, 103)(21, 148)(22, 104)(23, 107)(24, 154)(25, 156)(26, 137)(27, 106)(28, 160)(29, 162)(30, 159)(31, 145)(32, 108)(33, 158)(34, 109)(35, 111)(36, 163)(37, 161)(38, 157)(39, 155)(40, 164)(41, 123)(42, 112)(43, 165)(44, 113)(45, 116)(46, 167)(47, 169)(48, 127)(49, 115)(50, 171)(51, 173)(52, 118)(53, 174)(54, 172)(55, 170)(56, 168)(57, 166)(58, 135)(59, 120)(60, 134)(61, 121)(62, 130)(63, 128)(64, 133)(65, 124)(66, 132)(67, 125)(68, 138)(69, 140)(70, 184)(71, 152)(72, 142)(73, 151)(74, 143)(75, 150)(76, 146)(77, 149)(78, 147)(79, 153)(80, 191)(81, 187)(82, 189)(83, 185)(84, 192)(85, 188)(86, 190)(87, 186)(88, 175)(89, 180)(90, 176)(91, 182)(92, 178)(93, 181)(94, 177)(95, 183)(96, 179)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2433
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2437 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-2 * T1)^2, (T2^-2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 28, 124, 48, 144, 64, 160, 80, 176, 68, 164, 52, 148, 34, 130, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 39, 135, 57, 153, 73, 169, 88, 184, 76, 172, 60, 156, 44, 140, 24, 120, 8, 104)(4, 100, 12, 108, 31, 127, 49, 145, 65, 161, 81, 177, 92, 188, 78, 174, 62, 158, 46, 142, 27, 123, 13, 109)(6, 102, 17, 113, 35, 131, 53, 149, 69, 165, 84, 180, 94, 190, 85, 181, 70, 166, 54, 150, 36, 132, 18, 114)(9, 105, 25, 121, 15, 111, 33, 129, 51, 147, 67, 163, 83, 179, 91, 187, 77, 173, 61, 157, 45, 141, 26, 122)(11, 107, 29, 125, 14, 110, 32, 128, 50, 146, 66, 162, 82, 178, 93, 189, 79, 175, 63, 159, 47, 143, 30, 126)(19, 115, 37, 133, 23, 119, 43, 139, 59, 155, 75, 171, 90, 186, 95, 191, 86, 182, 71, 167, 55, 151, 38, 134)(21, 117, 40, 136, 22, 118, 42, 138, 58, 154, 74, 170, 89, 185, 96, 192, 87, 183, 72, 168, 56, 152, 41, 137)
	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, 112)(21, 103)(22, 109)(23, 104)(24, 106)(25, 136)(26, 139)(27, 131)(28, 143)(29, 133)(30, 138)(31, 132)(32, 137)(33, 134)(34, 147)(35, 120)(36, 116)(37, 121)(38, 128)(39, 152)(40, 125)(41, 129)(42, 122)(43, 126)(44, 155)(45, 124)(46, 154)(47, 149)(48, 156)(49, 151)(50, 130)(51, 150)(52, 153)(53, 141)(54, 146)(55, 135)(56, 145)(57, 166)(58, 140)(59, 142)(60, 165)(61, 170)(62, 144)(63, 171)(64, 173)(65, 148)(66, 167)(67, 168)(68, 178)(69, 158)(70, 161)(71, 163)(72, 162)(73, 182)(74, 159)(75, 157)(76, 185)(77, 180)(78, 186)(79, 160)(80, 188)(81, 183)(82, 181)(83, 164)(84, 175)(85, 179)(86, 177)(87, 169)(88, 176)(89, 174)(90, 172)(91, 191)(92, 190)(93, 192)(94, 184)(95, 189)(96, 187)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2430
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y2 * Y1^-2)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 16, 112, 15, 111)(7, 103, 18, 114, 13, 109, 20, 116)(8, 104, 21, 117, 12, 108, 22, 118)(10, 106, 19, 115, 28, 124, 25, 121)(23, 119, 33, 129, 27, 123, 34, 130)(24, 120, 35, 131, 26, 122, 36, 132)(29, 125, 37, 133, 32, 128, 38, 134)(30, 126, 39, 135, 31, 127, 40, 136)(41, 137, 49, 145, 44, 140, 50, 146)(42, 138, 51, 147, 43, 139, 52, 148)(45, 141, 53, 149, 48, 144, 54, 150)(46, 142, 55, 151, 47, 143, 56, 152)(57, 153, 65, 161, 60, 156, 66, 162)(58, 154, 67, 163, 59, 155, 68, 164)(61, 157, 69, 165, 64, 160, 70, 166)(62, 158, 71, 167, 63, 159, 72, 168)(73, 169, 81, 177, 76, 172, 82, 178)(74, 170, 83, 179, 75, 171, 84, 180)(77, 173, 85, 181, 80, 176, 86, 182)(78, 174, 87, 183, 79, 175, 88, 184)(89, 185, 94, 190, 92, 188, 95, 191)(90, 186, 93, 189, 91, 187, 96, 192)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 217, 313, 205, 301)(198, 294, 208, 304, 220, 316, 209, 305)(201, 297, 215, 311, 206, 302, 216, 312)(203, 299, 218, 314, 207, 303, 219, 315)(210, 306, 221, 317, 213, 309, 222, 318)(212, 308, 223, 319, 214, 310, 224, 320)(225, 321, 233, 329, 227, 323, 234, 330)(226, 322, 235, 331, 228, 324, 236, 332)(229, 325, 237, 333, 231, 327, 238, 334)(230, 326, 239, 335, 232, 328, 240, 336)(241, 337, 249, 345, 243, 339, 250, 346)(242, 338, 251, 347, 244, 340, 252, 348)(245, 341, 253, 349, 247, 343, 254, 350)(246, 342, 255, 351, 248, 344, 256, 352)(257, 353, 265, 361, 259, 355, 266, 362)(258, 354, 267, 363, 260, 356, 268, 364)(261, 357, 269, 365, 263, 359, 270, 366)(262, 358, 271, 367, 264, 360, 272, 368)(273, 369, 281, 377, 275, 371, 282, 378)(274, 370, 283, 379, 276, 372, 284, 380)(277, 373, 285, 381, 279, 375, 286, 382)(278, 374, 287, 383, 280, 376, 288, 384)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 217)(11, 209)(12, 213)(13, 210)(14, 197)(15, 208)(16, 206)(17, 201)(18, 199)(19, 202)(20, 205)(21, 200)(22, 204)(23, 226)(24, 228)(25, 220)(26, 227)(27, 225)(28, 211)(29, 230)(30, 232)(31, 231)(32, 229)(33, 215)(34, 219)(35, 216)(36, 218)(37, 221)(38, 224)(39, 222)(40, 223)(41, 242)(42, 244)(43, 243)(44, 241)(45, 246)(46, 248)(47, 247)(48, 245)(49, 233)(50, 236)(51, 234)(52, 235)(53, 237)(54, 240)(55, 238)(56, 239)(57, 258)(58, 260)(59, 259)(60, 257)(61, 262)(62, 264)(63, 263)(64, 261)(65, 249)(66, 252)(67, 250)(68, 251)(69, 253)(70, 256)(71, 254)(72, 255)(73, 274)(74, 276)(75, 275)(76, 273)(77, 278)(78, 280)(79, 279)(80, 277)(81, 265)(82, 268)(83, 266)(84, 267)(85, 269)(86, 272)(87, 270)(88, 271)(89, 287)(90, 288)(91, 285)(92, 286)(93, 282)(94, 281)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2445
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (Y1^-1 * Y2^-2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 35, 131, 24, 120)(16, 112, 31, 127, 36, 132, 20, 116)(25, 121, 40, 136, 29, 125, 37, 133)(26, 122, 43, 139, 30, 126, 42, 138)(28, 124, 47, 143, 53, 149, 45, 141)(32, 128, 41, 137, 33, 129, 38, 134)(34, 130, 51, 147, 54, 150, 50, 146)(39, 135, 56, 152, 49, 145, 55, 151)(44, 140, 59, 155, 46, 142, 58, 154)(48, 144, 60, 156, 69, 165, 62, 158)(52, 148, 57, 153, 70, 166, 65, 161)(61, 157, 74, 170, 63, 159, 75, 171)(64, 160, 77, 173, 84, 180, 79, 175)(66, 162, 71, 167, 67, 163, 72, 168)(68, 164, 82, 178, 85, 181, 83, 179)(73, 169, 86, 182, 81, 177, 87, 183)(76, 172, 89, 185, 78, 174, 90, 186)(80, 176, 92, 188, 94, 190, 88, 184)(91, 187, 95, 191, 93, 189, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 240, 336, 256, 352, 272, 368, 260, 356, 244, 340, 226, 322, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 231, 327, 249, 345, 265, 361, 280, 376, 268, 364, 252, 348, 236, 332, 216, 312, 200, 296)(196, 292, 204, 300, 223, 319, 241, 337, 257, 353, 273, 369, 284, 380, 270, 366, 254, 350, 238, 334, 219, 315, 205, 301)(198, 294, 209, 305, 227, 323, 245, 341, 261, 357, 276, 372, 286, 382, 277, 373, 262, 358, 246, 342, 228, 324, 210, 306)(201, 297, 217, 313, 207, 303, 225, 321, 243, 339, 259, 355, 275, 371, 283, 379, 269, 365, 253, 349, 237, 333, 218, 314)(203, 299, 221, 317, 206, 302, 224, 320, 242, 338, 258, 354, 274, 370, 285, 381, 271, 367, 255, 351, 239, 335, 222, 318)(211, 307, 229, 325, 215, 311, 235, 331, 251, 347, 267, 363, 282, 378, 287, 383, 278, 374, 263, 359, 247, 343, 230, 326)(213, 309, 232, 328, 214, 310, 234, 330, 250, 346, 266, 362, 281, 377, 288, 384, 279, 375, 264, 360, 248, 344, 233, 329)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(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, 207)(26, 201)(27, 205)(28, 240)(29, 206)(30, 203)(31, 241)(32, 242)(33, 243)(34, 208)(35, 245)(36, 210)(37, 215)(38, 211)(39, 249)(40, 214)(41, 213)(42, 250)(43, 251)(44, 216)(45, 218)(46, 219)(47, 222)(48, 256)(49, 257)(50, 258)(51, 259)(52, 226)(53, 261)(54, 228)(55, 230)(56, 233)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 248)(73, 280)(74, 281)(75, 282)(76, 252)(77, 253)(78, 254)(79, 255)(80, 260)(81, 284)(82, 285)(83, 283)(84, 286)(85, 262)(86, 263)(87, 264)(88, 268)(89, 288)(90, 287)(91, 269)(92, 270)(93, 271)(94, 277)(95, 278)(96, 279)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2443
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y2^-3 * Y1^-1)^2, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 19, 115, 8, 104)(5, 101, 11, 107, 25, 121, 13, 109)(7, 103, 17, 113, 35, 131, 16, 112)(10, 106, 23, 119, 34, 130, 22, 118)(12, 108, 15, 111, 33, 129, 27, 123)(14, 110, 29, 125, 36, 132, 31, 127)(18, 114, 39, 135, 26, 122, 38, 134)(20, 116, 41, 137, 28, 124, 43, 139)(21, 117, 37, 133, 30, 126, 42, 138)(24, 120, 47, 143, 58, 154, 46, 142)(32, 128, 51, 147, 56, 152, 40, 136)(44, 140, 59, 155, 45, 141, 53, 149)(48, 144, 60, 156, 69, 165, 63, 159)(49, 145, 54, 150, 50, 146, 55, 151)(52, 148, 57, 153, 70, 166, 65, 161)(61, 157, 75, 171, 62, 158, 74, 170)(64, 160, 77, 173, 89, 185, 76, 172)(66, 162, 72, 168, 67, 163, 71, 167)(68, 164, 81, 177, 87, 183, 82, 178)(73, 169, 86, 182, 83, 179, 85, 181)(78, 174, 90, 186, 79, 175, 84, 180)(80, 176, 92, 188, 94, 190, 91, 187)(88, 184, 96, 192, 93, 189, 95, 191)(193, 289, 195, 291, 202, 298, 216, 312, 240, 336, 256, 352, 272, 368, 260, 356, 244, 340, 224, 320, 206, 302, 197, 293)(194, 290, 199, 295, 210, 306, 232, 328, 249, 345, 265, 361, 280, 376, 268, 364, 252, 348, 236, 332, 212, 308, 200, 296)(196, 292, 203, 299, 218, 314, 241, 337, 257, 353, 273, 369, 285, 381, 271, 367, 255, 351, 239, 335, 220, 316, 204, 300)(198, 294, 207, 303, 226, 322, 245, 341, 261, 357, 276, 372, 286, 382, 277, 373, 262, 358, 246, 342, 228, 324, 208, 304)(201, 297, 213, 309, 227, 323, 223, 319, 243, 339, 259, 355, 275, 371, 283, 379, 269, 365, 253, 349, 237, 333, 214, 310)(205, 301, 221, 317, 242, 338, 258, 354, 274, 370, 284, 380, 270, 366, 254, 350, 238, 334, 215, 311, 225, 321, 222, 318)(209, 305, 229, 325, 219, 315, 235, 331, 251, 347, 267, 363, 282, 378, 287, 383, 278, 374, 263, 359, 247, 343, 230, 326)(211, 307, 233, 329, 250, 346, 266, 362, 281, 377, 288, 384, 279, 375, 264, 360, 248, 344, 231, 327, 217, 313, 234, 330)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 210)(8, 194)(9, 213)(10, 216)(11, 218)(12, 196)(13, 221)(14, 197)(15, 226)(16, 198)(17, 229)(18, 232)(19, 233)(20, 200)(21, 227)(22, 201)(23, 225)(24, 240)(25, 234)(26, 241)(27, 235)(28, 204)(29, 242)(30, 205)(31, 243)(32, 206)(33, 222)(34, 245)(35, 223)(36, 208)(37, 219)(38, 209)(39, 217)(40, 249)(41, 250)(42, 211)(43, 251)(44, 212)(45, 214)(46, 215)(47, 220)(48, 256)(49, 257)(50, 258)(51, 259)(52, 224)(53, 261)(54, 228)(55, 230)(56, 231)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 248)(73, 280)(74, 281)(75, 282)(76, 252)(77, 253)(78, 254)(79, 255)(80, 260)(81, 285)(82, 284)(83, 283)(84, 286)(85, 262)(86, 263)(87, 264)(88, 268)(89, 288)(90, 287)(91, 269)(92, 270)(93, 271)(94, 277)(95, 278)(96, 279)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2442
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^2 * Y1^-1 * Y2^2 * Y1, (Y2^-1 * Y1^-1)^4, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, (Y2^3 * Y1^2)^2, Y2 * Y1^-2 * Y2^3 * Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y2^-4 * Y1 * Y2 * Y1^-2 * Y2, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 47, 143, 21, 117)(8, 104, 22, 118, 53, 149, 23, 119)(10, 106, 24, 120, 42, 138, 29, 125)(12, 108, 32, 128, 67, 163, 34, 130)(13, 109, 35, 131, 71, 167, 36, 132)(16, 112, 20, 116, 46, 142, 33, 129)(17, 113, 41, 137, 76, 172, 43, 139)(18, 114, 44, 140, 82, 178, 45, 141)(26, 122, 59, 155, 77, 173, 51, 147)(27, 123, 60, 156, 78, 174, 55, 151)(28, 124, 61, 157, 85, 181, 63, 159)(30, 126, 65, 161, 80, 176, 48, 144)(31, 127, 66, 162, 81, 177, 54, 150)(38, 134, 70, 166, 83, 179, 52, 148)(39, 135, 68, 164, 84, 180, 49, 145)(40, 136, 73, 169, 79, 175, 74, 170)(50, 146, 88, 184, 64, 160, 90, 186)(56, 152, 92, 188, 69, 165, 93, 189)(57, 153, 91, 187, 75, 171, 89, 185)(58, 154, 87, 183, 96, 192, 95, 191)(62, 158, 94, 190, 72, 168, 86, 182)(193, 289, 195, 291, 202, 298, 220, 316, 254, 350, 274, 370, 288, 384, 268, 364, 267, 363, 232, 328, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 242, 338, 281, 377, 263, 359, 287, 383, 259, 355, 286, 382, 248, 344, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 261, 357, 283, 379, 245, 341, 279, 375, 239, 335, 278, 374, 256, 352, 221, 317, 205, 301)(198, 294, 209, 305, 234, 330, 271, 367, 264, 360, 229, 325, 250, 346, 217, 313, 249, 345, 277, 373, 238, 334, 210, 306)(201, 297, 218, 314, 206, 302, 230, 326, 265, 361, 273, 369, 235, 331, 272, 368, 237, 333, 276, 372, 253, 349, 219, 315)(203, 299, 222, 318, 207, 303, 231, 327, 266, 362, 270, 366, 233, 329, 269, 365, 236, 332, 275, 371, 255, 351, 223, 319)(211, 307, 240, 336, 214, 310, 246, 342, 284, 380, 262, 358, 226, 322, 251, 347, 228, 324, 252, 348, 280, 376, 241, 337)(213, 309, 243, 339, 215, 311, 247, 343, 285, 381, 260, 356, 224, 320, 257, 353, 227, 323, 258, 354, 282, 378, 244, 340)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 220)(11, 222)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 234)(18, 198)(19, 240)(20, 242)(21, 243)(22, 246)(23, 247)(24, 200)(25, 249)(26, 206)(27, 201)(28, 254)(29, 205)(30, 207)(31, 203)(32, 257)(33, 261)(34, 251)(35, 258)(36, 252)(37, 250)(38, 265)(39, 266)(40, 208)(41, 269)(42, 271)(43, 272)(44, 275)(45, 276)(46, 210)(47, 278)(48, 214)(49, 211)(50, 281)(51, 215)(52, 213)(53, 279)(54, 284)(55, 285)(56, 216)(57, 277)(58, 217)(59, 228)(60, 280)(61, 219)(62, 274)(63, 223)(64, 221)(65, 227)(66, 282)(67, 286)(68, 224)(69, 283)(70, 226)(71, 287)(72, 229)(73, 273)(74, 270)(75, 232)(76, 267)(77, 236)(78, 233)(79, 264)(80, 237)(81, 235)(82, 288)(83, 255)(84, 253)(85, 238)(86, 256)(87, 239)(88, 241)(89, 263)(90, 244)(91, 245)(92, 262)(93, 260)(94, 248)(95, 259)(96, 268)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2444
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (Y3^2 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^4 * Y2 * Y3^-8 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 209, 305, 203, 299)(197, 293, 206, 302, 210, 306, 207, 303)(199, 295, 211, 307, 204, 300, 213, 309)(200, 296, 214, 310, 205, 301, 215, 311)(202, 298, 219, 315, 227, 323, 216, 312)(208, 304, 223, 319, 228, 324, 212, 308)(217, 313, 232, 328, 221, 317, 229, 325)(218, 314, 235, 331, 222, 318, 234, 330)(220, 316, 239, 335, 245, 341, 237, 333)(224, 320, 233, 329, 225, 321, 230, 326)(226, 322, 243, 339, 246, 342, 242, 338)(231, 327, 248, 344, 241, 337, 247, 343)(236, 332, 251, 347, 238, 334, 250, 346)(240, 336, 252, 348, 261, 357, 254, 350)(244, 340, 249, 345, 262, 358, 257, 353)(253, 349, 266, 362, 255, 351, 267, 363)(256, 352, 269, 365, 276, 372, 271, 367)(258, 354, 263, 359, 259, 355, 264, 360)(260, 356, 274, 370, 277, 373, 275, 371)(265, 361, 278, 374, 273, 369, 279, 375)(268, 364, 281, 377, 270, 366, 282, 378)(272, 368, 284, 380, 286, 382, 280, 376)(283, 379, 287, 383, 285, 381, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(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, 207)(26, 201)(27, 205)(28, 240)(29, 206)(30, 203)(31, 241)(32, 242)(33, 243)(34, 208)(35, 245)(36, 210)(37, 215)(38, 211)(39, 249)(40, 214)(41, 213)(42, 250)(43, 251)(44, 216)(45, 218)(46, 219)(47, 222)(48, 256)(49, 257)(50, 258)(51, 259)(52, 226)(53, 261)(54, 228)(55, 230)(56, 233)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 248)(73, 280)(74, 281)(75, 282)(76, 252)(77, 253)(78, 254)(79, 255)(80, 260)(81, 284)(82, 285)(83, 283)(84, 286)(85, 262)(86, 263)(87, 264)(88, 268)(89, 288)(90, 287)(91, 269)(92, 270)(93, 271)(94, 277)(95, 278)(96, 279)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2440
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3, (Y3^-1 * Y2)^4, (Y3^3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 213, 309, 203, 299)(197, 293, 205, 301, 210, 306, 199, 295)(200, 296, 211, 307, 226, 322, 207, 303)(202, 298, 215, 311, 225, 321, 217, 313)(204, 300, 208, 304, 227, 323, 220, 316)(206, 302, 223, 319, 228, 324, 221, 317)(209, 305, 229, 325, 219, 315, 231, 327)(212, 308, 235, 331, 214, 310, 233, 329)(216, 312, 239, 335, 251, 347, 236, 332)(218, 314, 232, 328, 222, 318, 234, 330)(224, 320, 241, 337, 247, 343, 243, 339)(230, 326, 248, 344, 242, 338, 246, 342)(237, 333, 245, 341, 238, 334, 250, 346)(240, 336, 252, 348, 261, 357, 253, 349)(244, 340, 249, 345, 262, 358, 257, 353)(254, 350, 267, 363, 255, 351, 266, 362)(256, 352, 269, 365, 282, 378, 270, 366)(258, 354, 264, 360, 259, 355, 263, 359)(260, 356, 274, 370, 278, 374, 265, 361)(268, 364, 281, 377, 271, 367, 276, 372)(272, 368, 284, 380, 286, 382, 285, 381)(273, 369, 277, 373, 275, 371, 279, 375)(280, 376, 287, 383, 283, 379, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 225)(16, 198)(17, 230)(18, 232)(19, 233)(20, 200)(21, 235)(22, 201)(23, 203)(24, 240)(25, 226)(26, 227)(27, 241)(28, 234)(29, 242)(30, 205)(31, 243)(32, 206)(33, 245)(34, 222)(35, 223)(36, 208)(37, 210)(38, 249)(39, 220)(40, 213)(41, 250)(42, 211)(43, 251)(44, 212)(45, 214)(46, 215)(47, 217)(48, 256)(49, 257)(50, 258)(51, 259)(52, 224)(53, 261)(54, 228)(55, 229)(56, 231)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 248)(73, 280)(74, 281)(75, 282)(76, 252)(77, 253)(78, 254)(79, 255)(80, 260)(81, 283)(82, 285)(83, 284)(84, 286)(85, 262)(86, 263)(87, 264)(88, 268)(89, 288)(90, 287)(91, 269)(92, 270)(93, 271)(94, 277)(95, 278)(96, 279)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2439
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3 * Y2 * Y3^-3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3^5 * Y2^-2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 217, 313, 203, 299)(197, 293, 206, 302, 229, 325, 207, 303)(199, 295, 211, 307, 239, 335, 213, 309)(200, 296, 214, 310, 245, 341, 215, 311)(202, 298, 216, 312, 234, 330, 221, 317)(204, 300, 224, 320, 259, 355, 226, 322)(205, 301, 227, 323, 263, 359, 228, 324)(208, 304, 212, 308, 238, 334, 225, 321)(209, 305, 233, 329, 268, 364, 235, 331)(210, 306, 236, 332, 274, 370, 237, 333)(218, 314, 251, 347, 269, 365, 243, 339)(219, 315, 252, 348, 270, 366, 247, 343)(220, 316, 253, 349, 277, 373, 255, 351)(222, 318, 257, 353, 272, 368, 240, 336)(223, 319, 258, 354, 273, 369, 246, 342)(230, 326, 262, 358, 275, 371, 244, 340)(231, 327, 260, 356, 276, 372, 241, 337)(232, 328, 265, 361, 271, 367, 266, 362)(242, 338, 280, 376, 256, 352, 282, 378)(248, 344, 284, 380, 261, 357, 285, 381)(249, 345, 283, 379, 267, 363, 281, 377)(250, 346, 279, 375, 288, 384, 287, 383)(254, 350, 286, 382, 264, 360, 278, 374)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 220)(11, 222)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 234)(18, 198)(19, 240)(20, 242)(21, 243)(22, 246)(23, 247)(24, 200)(25, 249)(26, 206)(27, 201)(28, 254)(29, 205)(30, 207)(31, 203)(32, 257)(33, 261)(34, 251)(35, 258)(36, 252)(37, 250)(38, 265)(39, 266)(40, 208)(41, 269)(42, 271)(43, 272)(44, 275)(45, 276)(46, 210)(47, 278)(48, 214)(49, 211)(50, 281)(51, 215)(52, 213)(53, 279)(54, 284)(55, 285)(56, 216)(57, 277)(58, 217)(59, 228)(60, 280)(61, 219)(62, 274)(63, 223)(64, 221)(65, 227)(66, 282)(67, 286)(68, 224)(69, 283)(70, 226)(71, 287)(72, 229)(73, 273)(74, 270)(75, 232)(76, 267)(77, 236)(78, 233)(79, 264)(80, 237)(81, 235)(82, 288)(83, 255)(84, 253)(85, 238)(86, 256)(87, 239)(88, 241)(89, 263)(90, 244)(91, 245)(92, 262)(93, 260)(94, 248)(95, 259)(96, 268)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2441
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x ((C4 x C2) : C2)) : C2 (small group id <96, 13>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, (Y1^-1 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-2)^2, (Y1^-1 * Y3 * Y1^-1 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 35, 131, 53, 149, 69, 165, 68, 164, 52, 148, 33, 129, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 45, 141, 61, 157, 77, 173, 85, 181, 73, 169, 54, 150, 40, 136, 19, 115, 11, 107)(5, 101, 15, 111, 32, 128, 50, 146, 66, 162, 82, 178, 84, 180, 74, 170, 55, 151, 39, 135, 18, 114, 16, 112)(7, 103, 20, 116, 14, 110, 34, 130, 51, 147, 67, 163, 83, 179, 87, 183, 70, 166, 58, 154, 37, 133, 22, 118)(8, 104, 23, 119, 12, 108, 31, 127, 49, 145, 65, 161, 81, 177, 88, 184, 71, 167, 57, 153, 36, 132, 24, 120)(10, 106, 21, 117, 38, 134, 56, 152, 72, 168, 86, 182, 94, 190, 93, 189, 78, 174, 64, 160, 46, 142, 28, 124)(26, 122, 42, 138, 30, 126, 43, 139, 60, 156, 75, 171, 90, 186, 95, 191, 91, 187, 80, 176, 63, 159, 47, 143)(27, 123, 41, 137, 29, 125, 44, 140, 59, 155, 76, 172, 89, 185, 96, 192, 92, 188, 79, 175, 62, 158, 48, 144)(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, 224)(14, 196)(15, 219)(16, 222)(17, 228)(18, 230)(19, 198)(20, 233)(21, 200)(22, 235)(23, 234)(24, 236)(25, 205)(26, 207)(27, 201)(28, 206)(29, 208)(30, 203)(31, 240)(32, 238)(33, 243)(34, 239)(35, 246)(36, 248)(37, 209)(38, 211)(39, 251)(40, 252)(41, 215)(42, 212)(43, 216)(44, 214)(45, 254)(46, 217)(47, 223)(48, 226)(49, 225)(50, 255)(51, 256)(52, 253)(53, 262)(54, 264)(55, 227)(56, 229)(57, 267)(58, 268)(59, 232)(60, 231)(61, 270)(62, 242)(63, 237)(64, 241)(65, 272)(66, 244)(67, 271)(68, 273)(69, 276)(70, 278)(71, 245)(72, 247)(73, 281)(74, 282)(75, 250)(76, 249)(77, 283)(78, 258)(79, 257)(80, 259)(81, 285)(82, 284)(83, 260)(84, 286)(85, 261)(86, 263)(87, 287)(88, 288)(89, 266)(90, 265)(91, 274)(92, 269)(93, 275)(94, 277)(95, 280)(96, 279)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2438
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2446 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C12 x C2) : C4 (small group id <96, 38>)
Aut   = $<192, 519>$ (small group id <192, 519>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2 * T1^-1 * T2^2 * T1 * T2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 46, 62, 78, 68, 52, 34, 16, 5)(2, 7, 20, 39, 56, 72, 87, 76, 60, 44, 24, 8)(4, 12, 31, 49, 65, 81, 92, 80, 63, 48, 28, 13)(6, 17, 35, 53, 69, 84, 94, 85, 70, 54, 36, 18)(9, 25, 14, 32, 50, 66, 82, 91, 77, 61, 45, 26)(11, 29, 15, 33, 51, 67, 83, 93, 79, 64, 47, 30)(19, 37, 22, 42, 58, 74, 89, 95, 86, 71, 55, 38)(21, 40, 23, 43, 59, 75, 90, 96, 88, 73, 57, 41)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 120, 131, 124)(112, 116, 132, 127)(121, 133, 125, 136)(122, 138, 126, 139)(123, 141, 149, 143)(128, 134, 129, 137)(130, 146, 150, 147)(135, 151, 145, 153)(140, 154, 144, 155)(142, 156, 165, 159)(148, 152, 166, 161)(157, 170, 160, 171)(158, 173, 180, 175)(162, 167, 163, 169)(164, 178, 181, 179)(168, 182, 177, 184)(172, 185, 176, 186)(174, 183, 190, 188)(187, 191, 189, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2447
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2447 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C12 x C2) : C4 (small group id <96, 38>)
Aut   = $<192, 519>$ (small group id <192, 519>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T2 * T1^-2 * T2^-1 * T1^-2, (T2 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 25, 121, 13, 109)(6, 102, 16, 112, 28, 124, 17, 113)(9, 105, 23, 119, 14, 110, 24, 120)(11, 107, 26, 122, 15, 111, 27, 123)(18, 114, 29, 125, 21, 117, 30, 126)(20, 116, 31, 127, 22, 118, 32, 128)(33, 129, 41, 137, 35, 131, 42, 138)(34, 130, 43, 139, 36, 132, 44, 140)(37, 133, 45, 141, 39, 135, 46, 142)(38, 134, 47, 143, 40, 136, 48, 144)(49, 145, 57, 153, 51, 147, 58, 154)(50, 146, 59, 155, 52, 148, 60, 156)(53, 149, 61, 157, 55, 151, 62, 158)(54, 150, 63, 159, 56, 152, 64, 160)(65, 161, 73, 169, 67, 163, 74, 170)(66, 162, 75, 171, 68, 164, 76, 172)(69, 165, 77, 173, 71, 167, 78, 174)(70, 166, 79, 175, 72, 168, 80, 176)(81, 177, 89, 185, 83, 179, 90, 186)(82, 178, 91, 187, 84, 180, 92, 188)(85, 181, 93, 189, 87, 183, 94, 190)(86, 182, 95, 191, 88, 184, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 115)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 124)(20, 103)(21, 109)(22, 104)(23, 129)(24, 131)(25, 106)(26, 130)(27, 132)(28, 121)(29, 133)(30, 135)(31, 134)(32, 136)(33, 122)(34, 119)(35, 123)(36, 120)(37, 127)(38, 125)(39, 128)(40, 126)(41, 145)(42, 147)(43, 146)(44, 148)(45, 149)(46, 151)(47, 150)(48, 152)(49, 139)(50, 137)(51, 140)(52, 138)(53, 143)(54, 141)(55, 144)(56, 142)(57, 161)(58, 163)(59, 162)(60, 164)(61, 165)(62, 167)(63, 166)(64, 168)(65, 155)(66, 153)(67, 156)(68, 154)(69, 159)(70, 157)(71, 160)(72, 158)(73, 177)(74, 179)(75, 178)(76, 180)(77, 181)(78, 183)(79, 182)(80, 184)(81, 171)(82, 169)(83, 172)(84, 170)(85, 175)(86, 173)(87, 176)(88, 174)(89, 189)(90, 190)(91, 191)(92, 192)(93, 187)(94, 188)(95, 185)(96, 186)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2446
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C4 (small group id <96, 38>)
Aut   = $<192, 519>$ (small group id <192, 519>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^12 ]
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, 37, 133, 29, 125, 40, 136)(26, 122, 42, 138, 30, 126, 43, 139)(27, 123, 45, 141, 53, 149, 47, 143)(32, 128, 38, 134, 33, 129, 41, 137)(34, 130, 50, 146, 54, 150, 51, 147)(39, 135, 55, 151, 49, 145, 57, 153)(44, 140, 58, 154, 48, 144, 59, 155)(46, 142, 60, 156, 69, 165, 63, 159)(52, 148, 56, 152, 70, 166, 65, 161)(61, 157, 74, 170, 64, 160, 75, 171)(62, 158, 77, 173, 84, 180, 79, 175)(66, 162, 71, 167, 67, 163, 73, 169)(68, 164, 82, 178, 85, 181, 83, 179)(72, 168, 86, 182, 81, 177, 88, 184)(76, 172, 89, 185, 80, 176, 90, 186)(78, 174, 87, 183, 94, 190, 92, 188)(91, 187, 95, 191, 93, 189, 96, 192)(193, 289, 195, 291, 202, 298, 219, 315, 238, 334, 254, 350, 270, 366, 260, 356, 244, 340, 226, 322, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 231, 327, 248, 344, 264, 360, 279, 375, 268, 364, 252, 348, 236, 332, 216, 312, 200, 296)(196, 292, 204, 300, 223, 319, 241, 337, 257, 353, 273, 369, 284, 380, 272, 368, 255, 351, 240, 336, 220, 316, 205, 301)(198, 294, 209, 305, 227, 323, 245, 341, 261, 357, 276, 372, 286, 382, 277, 373, 262, 358, 246, 342, 228, 324, 210, 306)(201, 297, 217, 313, 206, 302, 224, 320, 242, 338, 258, 354, 274, 370, 283, 379, 269, 365, 253, 349, 237, 333, 218, 314)(203, 299, 221, 317, 207, 303, 225, 321, 243, 339, 259, 355, 275, 371, 285, 381, 271, 367, 256, 352, 239, 335, 222, 318)(211, 307, 229, 325, 214, 310, 234, 330, 250, 346, 266, 362, 281, 377, 287, 383, 278, 374, 263, 359, 247, 343, 230, 326)(213, 309, 232, 328, 215, 311, 235, 331, 251, 347, 267, 363, 282, 378, 288, 384, 280, 376, 265, 361, 249, 345, 233, 329)
	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, 238)(28, 205)(29, 207)(30, 203)(31, 241)(32, 242)(33, 243)(34, 208)(35, 245)(36, 210)(37, 214)(38, 211)(39, 248)(40, 215)(41, 213)(42, 250)(43, 251)(44, 216)(45, 218)(46, 254)(47, 222)(48, 220)(49, 257)(50, 258)(51, 259)(52, 226)(53, 261)(54, 228)(55, 230)(56, 264)(57, 233)(58, 266)(59, 267)(60, 236)(61, 237)(62, 270)(63, 240)(64, 239)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 279)(73, 249)(74, 281)(75, 282)(76, 252)(77, 253)(78, 260)(79, 256)(80, 255)(81, 284)(82, 283)(83, 285)(84, 286)(85, 262)(86, 263)(87, 268)(88, 265)(89, 287)(90, 288)(91, 269)(92, 272)(93, 271)(94, 277)(95, 278)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2449
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C4 (small group id <96, 38>)
Aut   = $<192, 519>$ (small group id <192, 519>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^4 * Y2 * Y3^-8 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 229, 325, 221, 317, 232, 328)(218, 314, 234, 330, 222, 318, 235, 331)(219, 315, 237, 333, 245, 341, 239, 335)(224, 320, 230, 326, 225, 321, 233, 329)(226, 322, 242, 338, 246, 342, 243, 339)(231, 327, 247, 343, 241, 337, 249, 345)(236, 332, 250, 346, 240, 336, 251, 347)(238, 334, 252, 348, 261, 357, 255, 351)(244, 340, 248, 344, 262, 358, 257, 353)(253, 349, 266, 362, 256, 352, 267, 363)(254, 350, 269, 365, 276, 372, 271, 367)(258, 354, 263, 359, 259, 355, 265, 361)(260, 356, 274, 370, 277, 373, 275, 371)(264, 360, 278, 374, 273, 369, 280, 376)(268, 364, 281, 377, 272, 368, 282, 378)(270, 366, 279, 375, 286, 382, 284, 380)(283, 379, 287, 383, 285, 381, 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, 238)(28, 205)(29, 207)(30, 203)(31, 241)(32, 242)(33, 243)(34, 208)(35, 245)(36, 210)(37, 214)(38, 211)(39, 248)(40, 215)(41, 213)(42, 250)(43, 251)(44, 216)(45, 218)(46, 254)(47, 222)(48, 220)(49, 257)(50, 258)(51, 259)(52, 226)(53, 261)(54, 228)(55, 230)(56, 264)(57, 233)(58, 266)(59, 267)(60, 236)(61, 237)(62, 270)(63, 240)(64, 239)(65, 273)(66, 274)(67, 275)(68, 244)(69, 276)(70, 246)(71, 247)(72, 279)(73, 249)(74, 281)(75, 282)(76, 252)(77, 253)(78, 260)(79, 256)(80, 255)(81, 284)(82, 283)(83, 285)(84, 286)(85, 262)(86, 263)(87, 268)(88, 265)(89, 287)(90, 288)(91, 269)(92, 272)(93, 271)(94, 277)(95, 278)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2448
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2450 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^2 * T1 * T2^-1, (T2 * T1)^4, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 72, 92, 84, 60, 36, 16, 5)(2, 7, 11, 27, 51, 73, 94, 90, 68, 44, 22, 8)(4, 12, 29, 49, 74, 88, 96, 82, 57, 33, 14, 13)(6, 17, 20, 41, 65, 76, 95, 81, 79, 55, 30, 18)(9, 24, 26, 50, 75, 93, 89, 66, 59, 35, 34, 15)(19, 40, 23, 45, 47, 71, 91, 86, 67, 43, 42, 21)(28, 52, 53, 77, 85, 87, 83, 58, 56, 32, 46, 31)(37, 61, 39, 63, 64, 69, 80, 70, 78, 54, 62, 38)(97, 98, 102, 100)(99, 105, 119, 107)(101, 110, 128, 111)(103, 115, 135, 116)(104, 112, 131, 117)(106, 108, 124, 122)(109, 126, 150, 127)(113, 133, 149, 125)(114, 118, 139, 134)(120, 142, 166, 143)(121, 123, 137, 145)(129, 132, 140, 151)(130, 154, 160, 136)(138, 162, 181, 157)(141, 165, 172, 147)(144, 146, 167, 169)(148, 158, 182, 171)(152, 153, 177, 176)(155, 156, 178, 179)(159, 183, 184, 161)(163, 164, 180, 185)(168, 170, 173, 189)(174, 175, 186, 187)(188, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2452
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2451 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2 * T1^2 * T2^-2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2, (T2^-1 * T1^-1)^4, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1 * T2^-1 * T1^-1, (T2 * T1^-1 * T2^-1 * T1 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 22, 62, 92, 56, 35, 46, 16, 5)(2, 7, 20, 57, 50, 45, 76, 32, 11, 31, 24, 8)(4, 12, 34, 41, 14, 40, 74, 28, 49, 82, 38, 13)(6, 17, 48, 81, 36, 66, 94, 60, 21, 59, 52, 18)(9, 26, 69, 61, 43, 15, 42, 75, 30, 44, 72, 27)(19, 54, 25, 67, 64, 23, 63, 93, 58, 65, 70, 55)(33, 77, 83, 39, 68, 37, 73, 84, 79, 71, 96, 78)(47, 85, 53, 80, 89, 51, 88, 95, 87, 90, 91, 86)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 149, 117)(104, 118, 157, 119)(106, 124, 169, 126)(108, 129, 165, 131)(109, 132, 176, 133)(112, 140, 151, 141)(113, 143, 179, 145)(114, 146, 163, 147)(116, 152, 138, 154)(120, 161, 182, 162)(122, 164, 191, 166)(123, 158, 134, 167)(125, 153, 177, 137)(127, 155, 178, 142)(128, 159, 183, 144)(130, 156, 184, 175)(136, 148, 186, 174)(139, 180, 187, 150)(160, 171, 192, 181)(168, 173, 185, 189)(170, 188, 172, 190)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2453
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2452 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1, (T2 * T1^-1)^6, 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 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 18, 114, 34, 130, 24, 120)(11, 107, 27, 123, 52, 148, 28, 124)(14, 110, 20, 116, 42, 138, 33, 129)(15, 111, 22, 118, 38, 134, 31, 127)(21, 117, 36, 132, 61, 157, 44, 140)(23, 119, 45, 141, 71, 167, 46, 142)(25, 121, 39, 135, 64, 160, 49, 145)(26, 122, 50, 146, 76, 172, 51, 147)(30, 126, 55, 151, 63, 159, 37, 133)(32, 128, 41, 137, 67, 163, 56, 152)(40, 136, 58, 154, 82, 178, 66, 162)(43, 139, 60, 156, 85, 181, 69, 165)(47, 143, 72, 168, 84, 180, 59, 155)(48, 144, 68, 164, 91, 187, 74, 170)(53, 149, 79, 175, 88, 184, 73, 169)(54, 150, 78, 174, 87, 183, 62, 158)(57, 153, 65, 161, 86, 182, 81, 177)(70, 166, 83, 179, 80, 176, 92, 188)(75, 171, 89, 185, 95, 191, 93, 189)(77, 173, 90, 186, 96, 192, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 121)(11, 99)(12, 120)(13, 124)(14, 128)(15, 101)(16, 130)(17, 133)(18, 135)(19, 136)(20, 103)(21, 139)(22, 104)(23, 107)(24, 143)(25, 144)(26, 106)(27, 145)(28, 147)(29, 142)(30, 108)(31, 109)(32, 111)(33, 153)(34, 154)(35, 155)(36, 112)(37, 158)(38, 113)(39, 116)(40, 161)(41, 115)(42, 162)(43, 118)(44, 166)(45, 160)(46, 169)(47, 126)(48, 122)(49, 171)(50, 129)(51, 127)(52, 170)(53, 123)(54, 125)(55, 167)(56, 165)(57, 173)(58, 132)(59, 179)(60, 131)(61, 180)(62, 134)(63, 184)(64, 178)(65, 137)(66, 185)(67, 140)(68, 138)(69, 183)(70, 186)(71, 189)(72, 141)(73, 150)(74, 190)(75, 149)(76, 152)(77, 146)(78, 148)(79, 187)(80, 151)(81, 188)(82, 168)(83, 156)(84, 191)(85, 159)(86, 157)(87, 172)(88, 192)(89, 164)(90, 163)(91, 177)(92, 175)(93, 176)(94, 174)(95, 182)(96, 181)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2450
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2453 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, (F * T2)^2, (T1^-1 * T2)^3, T2^2 * T1 * T2 * T1^2 * T2^-1 * T1^-1, T1 * T2 * T1 * T2^-2 * T1^-1 * T2^-1 * T1, T2^-2 * T1 * T2 * T1^-2 * T2^-1 * T1^-1, T2^-1 * T1 * T2^2 * T1^-2 * T2^-1 * T1 * T2 * T1^-1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 30, 126, 13, 109)(6, 102, 16, 112, 39, 135, 17, 113)(9, 105, 24, 120, 38, 134, 25, 121)(11, 107, 21, 117, 50, 146, 28, 124)(14, 110, 35, 131, 66, 162, 31, 127)(15, 111, 36, 132, 42, 138, 37, 133)(18, 114, 44, 140, 29, 125, 45, 141)(20, 116, 41, 137, 75, 171, 48, 144)(22, 118, 51, 147, 33, 129, 52, 148)(23, 119, 53, 149, 83, 179, 54, 150)(26, 122, 43, 139, 76, 172, 60, 156)(27, 123, 57, 153, 90, 186, 61, 157)(32, 128, 67, 163, 73, 169, 40, 136)(34, 130, 47, 143, 79, 175, 68, 164)(46, 142, 70, 166, 92, 188, 82, 178)(49, 145, 72, 168, 55, 151, 85, 181)(56, 152, 88, 184, 69, 165, 89, 185)(58, 154, 81, 177, 63, 159, 91, 187)(59, 155, 86, 182, 95, 191, 78, 174)(62, 158, 71, 167, 64, 160, 87, 183)(65, 161, 77, 173, 94, 190, 74, 170)(80, 176, 93, 189, 84, 180, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 125)(13, 128)(14, 130)(15, 101)(16, 134)(17, 137)(18, 139)(19, 142)(20, 103)(21, 145)(22, 104)(23, 107)(24, 151)(25, 153)(26, 155)(27, 106)(28, 158)(29, 160)(30, 150)(31, 108)(32, 157)(33, 109)(34, 111)(35, 152)(36, 165)(37, 159)(38, 166)(39, 167)(40, 112)(41, 170)(42, 113)(43, 116)(44, 173)(45, 175)(46, 177)(47, 115)(48, 179)(49, 118)(50, 174)(51, 182)(52, 180)(53, 172)(54, 184)(55, 131)(56, 120)(57, 171)(58, 121)(59, 123)(60, 132)(61, 129)(62, 133)(63, 124)(64, 127)(65, 126)(66, 178)(67, 176)(68, 181)(69, 169)(70, 136)(71, 189)(72, 135)(73, 156)(74, 138)(75, 154)(76, 188)(77, 146)(78, 140)(79, 163)(80, 141)(81, 143)(82, 147)(83, 148)(84, 144)(85, 190)(86, 162)(87, 149)(88, 161)(89, 191)(90, 164)(91, 192)(92, 183)(93, 168)(94, 186)(95, 187)(96, 185)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2451
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-1 * Y1 * Y2^2, (Y2 * Y1)^4, (Y3^-1 * Y1^-1)^4, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 23, 119, 11, 107)(5, 101, 14, 110, 32, 128, 15, 111)(7, 103, 19, 115, 39, 135, 20, 116)(8, 104, 16, 112, 35, 131, 21, 117)(10, 106, 12, 108, 28, 124, 26, 122)(13, 109, 30, 126, 54, 150, 31, 127)(17, 113, 37, 133, 53, 149, 29, 125)(18, 114, 22, 118, 43, 139, 38, 134)(24, 120, 46, 142, 70, 166, 47, 143)(25, 121, 27, 123, 41, 137, 49, 145)(33, 129, 36, 132, 44, 140, 55, 151)(34, 130, 58, 154, 64, 160, 40, 136)(42, 138, 66, 162, 85, 181, 61, 157)(45, 141, 69, 165, 76, 172, 51, 147)(48, 144, 50, 146, 71, 167, 73, 169)(52, 148, 62, 158, 86, 182, 75, 171)(56, 152, 57, 153, 81, 177, 80, 176)(59, 155, 60, 156, 82, 178, 83, 179)(63, 159, 87, 183, 88, 184, 65, 161)(67, 163, 68, 164, 84, 180, 89, 185)(72, 168, 74, 170, 77, 173, 93, 189)(78, 174, 79, 175, 90, 186, 91, 187)(92, 188, 94, 190, 95, 191, 96, 192)(193, 289, 195, 291, 202, 298, 217, 313, 240, 336, 264, 360, 284, 380, 276, 372, 252, 348, 228, 324, 208, 304, 197, 293)(194, 290, 199, 295, 203, 299, 219, 315, 243, 339, 265, 361, 286, 382, 282, 378, 260, 356, 236, 332, 214, 310, 200, 296)(196, 292, 204, 300, 221, 317, 241, 337, 266, 362, 280, 376, 288, 384, 274, 370, 249, 345, 225, 321, 206, 302, 205, 301)(198, 294, 209, 305, 212, 308, 233, 329, 257, 353, 268, 364, 287, 383, 273, 369, 271, 367, 247, 343, 222, 318, 210, 306)(201, 297, 216, 312, 218, 314, 242, 338, 267, 363, 285, 381, 281, 377, 258, 354, 251, 347, 227, 323, 226, 322, 207, 303)(211, 307, 232, 328, 215, 311, 237, 333, 239, 335, 263, 359, 283, 379, 278, 374, 259, 355, 235, 331, 234, 330, 213, 309)(220, 316, 244, 340, 245, 341, 269, 365, 277, 373, 279, 375, 275, 371, 250, 346, 248, 344, 224, 320, 238, 334, 223, 319)(229, 325, 253, 349, 231, 327, 255, 351, 256, 352, 261, 357, 272, 368, 262, 358, 270, 366, 246, 342, 254, 350, 230, 326)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 203)(8, 194)(9, 216)(10, 217)(11, 219)(12, 221)(13, 196)(14, 205)(15, 201)(16, 197)(17, 212)(18, 198)(19, 232)(20, 233)(21, 211)(22, 200)(23, 237)(24, 218)(25, 240)(26, 242)(27, 243)(28, 244)(29, 241)(30, 210)(31, 220)(32, 238)(33, 206)(34, 207)(35, 226)(36, 208)(37, 253)(38, 229)(39, 255)(40, 215)(41, 257)(42, 213)(43, 234)(44, 214)(45, 239)(46, 223)(47, 263)(48, 264)(49, 266)(50, 267)(51, 265)(52, 245)(53, 269)(54, 254)(55, 222)(56, 224)(57, 225)(58, 248)(59, 227)(60, 228)(61, 231)(62, 230)(63, 256)(64, 261)(65, 268)(66, 251)(67, 235)(68, 236)(69, 272)(70, 270)(71, 283)(72, 284)(73, 286)(74, 280)(75, 285)(76, 287)(77, 277)(78, 246)(79, 247)(80, 262)(81, 271)(82, 249)(83, 250)(84, 252)(85, 279)(86, 259)(87, 275)(88, 288)(89, 258)(90, 260)(91, 278)(92, 276)(93, 281)(94, 282)(95, 273)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E21.2456
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2^4 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1^-2 * Y2^2, (Y3^-1 * Y1^-1)^4, Y2^-2 * Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 53, 149, 21, 117)(8, 104, 22, 118, 61, 157, 23, 119)(10, 106, 28, 124, 73, 169, 30, 126)(12, 108, 33, 129, 69, 165, 35, 131)(13, 109, 36, 132, 80, 176, 37, 133)(16, 112, 44, 140, 55, 151, 45, 141)(17, 113, 47, 143, 83, 179, 49, 145)(18, 114, 50, 146, 67, 163, 51, 147)(20, 116, 56, 152, 42, 138, 58, 154)(24, 120, 65, 161, 86, 182, 66, 162)(26, 122, 68, 164, 95, 191, 70, 166)(27, 123, 62, 158, 38, 134, 71, 167)(29, 125, 57, 153, 81, 177, 41, 137)(31, 127, 59, 155, 82, 178, 46, 142)(32, 128, 63, 159, 87, 183, 48, 144)(34, 130, 60, 156, 88, 184, 79, 175)(40, 136, 52, 148, 90, 186, 78, 174)(43, 139, 84, 180, 91, 187, 54, 150)(64, 160, 75, 171, 96, 192, 85, 181)(72, 168, 77, 173, 89, 185, 93, 189)(74, 170, 92, 188, 76, 172, 94, 190)(193, 289, 195, 291, 202, 298, 221, 317, 214, 310, 254, 350, 284, 380, 248, 344, 227, 323, 238, 334, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 249, 345, 242, 338, 237, 333, 268, 364, 224, 320, 203, 299, 223, 319, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 233, 329, 206, 302, 232, 328, 266, 362, 220, 316, 241, 337, 274, 370, 230, 326, 205, 301)(198, 294, 209, 305, 240, 336, 273, 369, 228, 324, 258, 354, 286, 382, 252, 348, 213, 309, 251, 347, 244, 340, 210, 306)(201, 297, 218, 314, 261, 357, 253, 349, 235, 331, 207, 303, 234, 330, 267, 363, 222, 318, 236, 332, 264, 360, 219, 315)(211, 307, 246, 342, 217, 313, 259, 355, 256, 352, 215, 311, 255, 351, 285, 381, 250, 346, 257, 353, 262, 358, 247, 343)(225, 321, 269, 365, 275, 371, 231, 327, 260, 356, 229, 325, 265, 361, 276, 372, 271, 367, 263, 359, 288, 384, 270, 366)(239, 335, 277, 373, 245, 341, 272, 368, 281, 377, 243, 339, 280, 376, 287, 383, 279, 375, 282, 378, 283, 379, 278, 374)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 240)(18, 198)(19, 246)(20, 249)(21, 251)(22, 254)(23, 255)(24, 200)(25, 259)(26, 261)(27, 201)(28, 241)(29, 214)(30, 236)(31, 216)(32, 203)(33, 269)(34, 233)(35, 238)(36, 258)(37, 265)(38, 205)(39, 260)(40, 266)(41, 206)(42, 267)(43, 207)(44, 264)(45, 268)(46, 208)(47, 277)(48, 273)(49, 274)(50, 237)(51, 280)(52, 210)(53, 272)(54, 217)(55, 211)(56, 227)(57, 242)(58, 257)(59, 244)(60, 213)(61, 235)(62, 284)(63, 285)(64, 215)(65, 262)(66, 286)(67, 256)(68, 229)(69, 253)(70, 247)(71, 288)(72, 219)(73, 276)(74, 220)(75, 222)(76, 224)(77, 275)(78, 225)(79, 263)(80, 281)(81, 228)(82, 230)(83, 231)(84, 271)(85, 245)(86, 239)(87, 282)(88, 287)(89, 243)(90, 283)(91, 278)(92, 248)(93, 250)(94, 252)(95, 279)(96, 270)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2457
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2 * R * Y2^-1 * R, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 215, 311, 203, 299)(197, 293, 206, 302, 224, 320, 207, 303)(199, 295, 202, 298, 217, 313, 212, 308)(200, 296, 213, 309, 234, 330, 214, 310)(204, 300, 220, 316, 244, 340, 221, 317)(205, 301, 222, 318, 227, 323, 208, 304)(209, 305, 211, 307, 231, 327, 229, 325)(210, 306, 230, 326, 246, 342, 223, 319)(216, 312, 218, 314, 232, 328, 240, 336)(219, 315, 243, 339, 259, 355, 235, 331)(225, 321, 238, 334, 262, 358, 249, 345)(226, 322, 236, 332, 247, 343, 228, 324)(233, 329, 257, 353, 278, 374, 254, 350)(237, 333, 239, 335, 263, 359, 261, 357)(241, 337, 242, 338, 264, 360, 266, 362)(245, 341, 253, 349, 277, 373, 269, 365)(248, 344, 272, 368, 274, 370, 250, 346)(251, 347, 273, 369, 275, 371, 252, 348)(255, 351, 256, 352, 267, 363, 279, 375)(258, 354, 281, 377, 282, 378, 260, 356)(265, 361, 280, 376, 286, 382, 268, 364)(270, 366, 287, 383, 276, 372, 271, 367)(283, 379, 284, 380, 285, 381, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 216)(10, 218)(11, 219)(12, 201)(13, 196)(14, 203)(15, 200)(16, 197)(17, 220)(18, 198)(19, 232)(20, 233)(21, 212)(22, 210)(23, 237)(24, 239)(25, 241)(26, 242)(27, 217)(28, 240)(29, 238)(30, 221)(31, 205)(32, 235)(33, 206)(34, 207)(35, 225)(36, 208)(37, 253)(38, 229)(39, 255)(40, 256)(41, 231)(42, 254)(43, 213)(44, 214)(45, 243)(46, 215)(47, 264)(48, 265)(49, 257)(50, 267)(51, 266)(52, 268)(53, 222)(54, 245)(55, 223)(56, 224)(57, 248)(58, 226)(59, 227)(60, 228)(61, 244)(62, 230)(63, 277)(64, 280)(65, 279)(66, 234)(67, 258)(68, 236)(69, 272)(70, 261)(71, 283)(72, 284)(73, 263)(74, 281)(75, 285)(76, 262)(77, 251)(78, 246)(79, 247)(80, 259)(81, 249)(82, 260)(83, 250)(84, 252)(85, 286)(86, 270)(87, 287)(88, 288)(89, 278)(90, 271)(91, 274)(92, 282)(93, 276)(94, 273)(95, 269)(96, 275)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2454
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-4 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^2 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y3^-2 * Y2^2 * Y3 * Y2 * Y3^-1, (Y3^2 * Y2^-1 * Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 217, 313, 203, 299)(197, 293, 206, 302, 231, 327, 207, 303)(199, 295, 211, 307, 245, 341, 213, 309)(200, 296, 214, 310, 251, 347, 215, 311)(202, 298, 220, 316, 252, 348, 222, 318)(204, 300, 225, 321, 269, 365, 227, 323)(205, 301, 228, 324, 272, 368, 229, 325)(208, 304, 236, 332, 271, 367, 237, 333)(209, 305, 239, 335, 275, 371, 241, 337)(210, 306, 242, 338, 259, 355, 243, 339)(212, 308, 247, 343, 280, 376, 248, 344)(216, 312, 256, 352, 224, 320, 257, 353)(218, 314, 238, 334, 258, 354, 261, 357)(219, 315, 240, 336, 277, 373, 262, 358)(221, 317, 235, 331, 255, 351, 265, 361)(223, 319, 267, 363, 286, 382, 253, 349)(226, 322, 270, 366, 232, 328, 246, 342)(230, 326, 254, 350, 279, 375, 274, 370)(233, 329, 260, 356, 287, 383, 276, 372)(234, 330, 250, 346, 282, 378, 244, 340)(249, 345, 268, 364, 288, 384, 281, 377)(263, 359, 283, 379, 266, 362, 284, 380)(264, 360, 273, 369, 278, 374, 285, 381)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 240)(18, 198)(19, 238)(20, 235)(21, 249)(22, 252)(23, 254)(24, 200)(25, 259)(26, 230)(27, 201)(28, 237)(29, 229)(30, 239)(31, 245)(32, 203)(33, 261)(34, 265)(35, 260)(36, 262)(37, 256)(38, 205)(39, 253)(40, 264)(41, 206)(42, 266)(43, 207)(44, 263)(45, 268)(46, 208)(47, 258)(48, 255)(49, 278)(50, 280)(51, 236)(52, 210)(53, 272)(54, 211)(55, 257)(56, 225)(57, 275)(58, 213)(59, 281)(60, 276)(61, 214)(62, 284)(63, 215)(64, 283)(65, 285)(66, 216)(67, 273)(68, 217)(69, 244)(70, 288)(71, 219)(72, 220)(73, 243)(74, 222)(75, 271)(76, 224)(77, 251)(78, 274)(79, 227)(80, 233)(81, 228)(82, 267)(83, 231)(84, 247)(85, 282)(86, 269)(87, 241)(88, 286)(89, 242)(90, 287)(91, 246)(92, 248)(93, 250)(94, 277)(95, 279)(96, 270)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2455
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2458 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, T1 * T2^-1 * T1^-2 * T2 * T1, T2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2, T2 * T1^-1 * T2^2 * T1 * T2 * T1 * T2^2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1^-1 * T2)^3 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 29, 13)(6, 16, 34, 17)(9, 23, 46, 24)(11, 27, 54, 28)(14, 30, 56, 31)(15, 32, 60, 33)(18, 35, 62, 36)(20, 39, 70, 40)(21, 41, 72, 42)(22, 43, 76, 44)(25, 50, 85, 51)(26, 52, 86, 53)(37, 66, 95, 67)(38, 68, 96, 69)(45, 77, 59, 78)(47, 79, 58, 80)(48, 81, 57, 82)(49, 83, 55, 84)(61, 87, 75, 88)(63, 89, 74, 90)(64, 91, 73, 92)(65, 93, 71, 94)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 121, 130, 122)(115, 133, 125, 134)(119, 141, 123, 143)(120, 144, 124, 145)(126, 151, 128, 153)(127, 154, 129, 155)(131, 157, 135, 159)(132, 160, 136, 161)(137, 167, 139, 169)(138, 170, 140, 171)(142, 165, 150, 163)(146, 172, 148, 168)(147, 166, 149, 158)(152, 164, 156, 162)(173, 185, 175, 183)(174, 188, 176, 190)(177, 189, 179, 187)(178, 184, 180, 186)(181, 191, 182, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2465
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2459 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^6 * T1^-1, T2 * T1^-1 * T2^3 * T1 * T2^2, T2^3 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 42, 18, 6, 17, 41, 40, 16, 5)(2, 7, 20, 46, 33, 13, 4, 12, 32, 56, 24, 8)(9, 25, 57, 38, 66, 31, 11, 30, 65, 39, 60, 26)(14, 34, 64, 29, 63, 37, 15, 36, 62, 27, 61, 35)(19, 43, 69, 54, 78, 49, 21, 48, 77, 55, 72, 44)(22, 50, 76, 47, 75, 53, 23, 52, 74, 45, 73, 51)(58, 83, 68, 82, 94, 86, 59, 85, 67, 81, 93, 84)(70, 89, 80, 88, 96, 92, 71, 91, 79, 87, 95, 90)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 137, 125)(112, 134, 138, 135)(116, 141, 128, 143)(120, 150, 129, 151)(121, 147, 126, 149)(122, 154, 127, 155)(124, 152, 136, 142)(130, 163, 132, 164)(131, 139, 133, 144)(140, 166, 145, 167)(146, 175, 148, 176)(153, 177, 161, 178)(156, 172, 162, 170)(157, 180, 159, 182)(158, 174, 160, 168)(165, 183, 173, 184)(169, 186, 171, 188)(179, 187, 181, 185)(189, 191, 190, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2462
Transitivity :: ET+
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2460 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^5 * T1^-1, T2^3 * T1 * T2^3 * T1^-1, T2^2 * T1^-1 * T2^-4 * T1^-1, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 55, 19, 54, 37, 66, 46, 16, 5)(2, 7, 20, 57, 30, 47, 43, 15, 42, 68, 24, 8)(4, 12, 34, 72, 27, 9, 26, 51, 44, 75, 38, 13)(6, 17, 48, 83, 58, 33, 65, 23, 64, 90, 52, 18)(11, 31, 53, 45, 74, 28, 73, 41, 14, 40, 77, 32)(21, 59, 81, 67, 91, 56, 39, 63, 22, 62, 92, 60)(25, 69, 93, 79, 86, 76, 36, 71, 94, 80, 35, 70)(49, 84, 78, 89, 95, 82, 61, 88, 50, 87, 96, 85)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 149, 117)(104, 118, 157, 119)(106, 124, 158, 126)(108, 129, 174, 131)(109, 132, 169, 133)(112, 140, 176, 141)(113, 143, 177, 145)(114, 146, 182, 147)(116, 152, 183, 154)(120, 162, 128, 163)(122, 150, 139, 161)(123, 144, 178, 167)(125, 164, 179, 171)(127, 172, 180, 159)(130, 175, 136, 151)(134, 160, 181, 165)(137, 166, 184, 155)(138, 156, 185, 148)(142, 153, 186, 168)(170, 189, 191, 187)(173, 190, 192, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2463
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2461 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-3 * T1^-1 * T2^-2, (T2 * T1^-1)^4, T2^4 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 56, 35, 63, 22, 62, 46, 16, 5)(2, 7, 20, 57, 32, 11, 31, 50, 45, 68, 24, 8)(4, 12, 34, 74, 28, 49, 41, 14, 40, 75, 38, 13)(6, 17, 48, 84, 60, 21, 59, 36, 67, 90, 52, 18)(9, 26, 70, 44, 76, 30, 61, 43, 15, 42, 72, 27)(19, 54, 25, 66, 92, 58, 86, 65, 23, 64, 91, 55)(33, 77, 81, 71, 93, 79, 39, 69, 37, 73, 94, 78)(47, 82, 53, 89, 96, 85, 80, 88, 51, 87, 95, 83)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 149, 117)(104, 118, 157, 119)(106, 124, 169, 126)(108, 129, 166, 131)(109, 132, 176, 133)(112, 140, 151, 141)(113, 143, 177, 145)(114, 146, 182, 147)(116, 152, 138, 154)(120, 162, 179, 163)(122, 165, 178, 161)(123, 158, 134, 167)(125, 164, 180, 171)(127, 155, 137, 159)(128, 160, 181, 144)(130, 156, 183, 175)(136, 148, 185, 174)(139, 173, 184, 150)(142, 153, 186, 170)(168, 190, 191, 187)(172, 189, 192, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2464
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2462 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T2^-1 * T1^2 * T2 * T1^-2, T1 * T2^-1 * T1^-2 * T2 * T1, T2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2, T2 * T1^-1 * T2^2 * T1 * T2 * T1 * T2^2 * T1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1^-1 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 34, 130, 17, 113)(9, 105, 23, 119, 46, 142, 24, 120)(11, 107, 27, 123, 54, 150, 28, 124)(14, 110, 30, 126, 56, 152, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 62, 158, 36, 132)(20, 116, 39, 135, 70, 166, 40, 136)(21, 117, 41, 137, 72, 168, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(25, 121, 50, 146, 85, 181, 51, 147)(26, 122, 52, 148, 86, 182, 53, 149)(37, 133, 66, 162, 95, 191, 67, 163)(38, 134, 68, 164, 96, 192, 69, 165)(45, 141, 77, 173, 59, 155, 78, 174)(47, 143, 79, 175, 58, 154, 80, 176)(48, 144, 81, 177, 57, 153, 82, 178)(49, 145, 83, 179, 55, 151, 84, 180)(61, 157, 87, 183, 75, 171, 88, 184)(63, 159, 89, 185, 74, 170, 90, 186)(64, 160, 91, 187, 73, 169, 92, 188)(65, 161, 93, 189, 71, 167, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 121)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 133)(20, 103)(21, 109)(22, 104)(23, 141)(24, 144)(25, 130)(26, 106)(27, 143)(28, 145)(29, 134)(30, 151)(31, 154)(32, 153)(33, 155)(34, 122)(35, 157)(36, 160)(37, 125)(38, 115)(39, 159)(40, 161)(41, 167)(42, 170)(43, 169)(44, 171)(45, 123)(46, 165)(47, 119)(48, 124)(49, 120)(50, 172)(51, 166)(52, 168)(53, 158)(54, 163)(55, 128)(56, 164)(57, 126)(58, 129)(59, 127)(60, 162)(61, 135)(62, 147)(63, 131)(64, 136)(65, 132)(66, 152)(67, 142)(68, 156)(69, 150)(70, 149)(71, 139)(72, 146)(73, 137)(74, 140)(75, 138)(76, 148)(77, 185)(78, 188)(79, 183)(80, 190)(81, 189)(82, 184)(83, 187)(84, 186)(85, 191)(86, 192)(87, 173)(88, 180)(89, 175)(90, 178)(91, 177)(92, 176)(93, 179)(94, 174)(95, 182)(96, 181)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2459
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2463 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-2 * T2^-1 * T1 * T2 * T1^-2, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2 * T1 * T2^-1 * T1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 26, 122, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 14, 110, 25, 121)(11, 107, 27, 123, 15, 111, 28, 124)(18, 114, 40, 136, 21, 117, 41, 137)(20, 116, 42, 138, 22, 118, 43, 139)(23, 119, 45, 141, 33, 129, 46, 142)(29, 125, 56, 152, 31, 127, 57, 153)(30, 126, 58, 154, 32, 128, 59, 155)(34, 130, 62, 158, 37, 133, 63, 159)(36, 132, 64, 160, 38, 134, 65, 161)(39, 135, 67, 163, 44, 140, 68, 164)(47, 143, 79, 175, 49, 145, 80, 176)(48, 144, 81, 177, 50, 146, 82, 178)(51, 147, 83, 179, 53, 149, 84, 180)(52, 148, 85, 181, 54, 150, 86, 182)(55, 151, 78, 174, 60, 156, 77, 173)(61, 157, 87, 183, 66, 162, 88, 184)(69, 165, 89, 185, 71, 167, 90, 186)(70, 166, 91, 187, 72, 168, 92, 188)(73, 169, 93, 189, 75, 171, 94, 190)(74, 170, 95, 191, 76, 172, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 115)(11, 99)(12, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 133)(18, 135)(19, 131)(20, 103)(21, 140)(22, 104)(23, 107)(24, 143)(25, 145)(26, 106)(27, 147)(28, 149)(29, 151)(30, 108)(31, 156)(32, 109)(33, 111)(34, 157)(35, 122)(36, 112)(37, 162)(38, 113)(39, 116)(40, 165)(41, 167)(42, 169)(43, 171)(44, 118)(45, 173)(46, 174)(47, 161)(48, 120)(49, 160)(50, 121)(51, 159)(52, 123)(53, 158)(54, 124)(55, 126)(56, 172)(57, 170)(58, 168)(59, 166)(60, 128)(61, 132)(62, 150)(63, 148)(64, 146)(65, 144)(66, 134)(67, 142)(68, 141)(69, 155)(70, 136)(71, 154)(72, 137)(73, 153)(74, 138)(75, 152)(76, 139)(77, 183)(78, 184)(79, 186)(80, 185)(81, 190)(82, 189)(83, 188)(84, 187)(85, 192)(86, 191)(87, 164)(88, 163)(89, 181)(90, 182)(91, 177)(92, 178)(93, 179)(94, 180)(95, 175)(96, 176)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2460
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2464 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T1^2 * T2 * T1 * T2^-2 * T1^-1 * T2^-1, T1^-1 * T2^2 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 31, 127, 13, 109)(6, 102, 16, 112, 41, 137, 17, 113)(9, 105, 24, 120, 40, 136, 25, 121)(11, 107, 28, 124, 42, 138, 29, 125)(14, 110, 36, 132, 43, 139, 37, 133)(15, 111, 38, 134, 44, 140, 39, 135)(18, 114, 46, 142, 30, 126, 47, 143)(20, 116, 50, 146, 32, 128, 51, 147)(21, 117, 53, 149, 33, 129, 54, 150)(22, 118, 55, 151, 34, 130, 56, 152)(23, 119, 57, 153, 35, 131, 49, 145)(26, 122, 45, 141, 70, 166, 52, 148)(27, 123, 62, 158, 79, 175, 63, 159)(48, 144, 68, 164, 88, 184, 69, 165)(58, 154, 80, 176, 64, 160, 81, 177)(59, 155, 82, 178, 65, 161, 83, 179)(60, 156, 84, 180, 66, 162, 85, 181)(61, 157, 86, 182, 67, 163, 87, 183)(71, 167, 89, 185, 75, 171, 90, 186)(72, 168, 91, 187, 76, 172, 92, 188)(73, 169, 93, 189, 77, 173, 94, 190)(74, 170, 95, 191, 78, 174, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 126)(13, 129)(14, 131)(15, 101)(16, 136)(17, 139)(18, 141)(19, 144)(20, 103)(21, 148)(22, 104)(23, 107)(24, 154)(25, 156)(26, 137)(27, 106)(28, 160)(29, 162)(30, 158)(31, 145)(32, 108)(33, 159)(34, 109)(35, 111)(36, 155)(37, 157)(38, 161)(39, 163)(40, 164)(41, 123)(42, 112)(43, 165)(44, 113)(45, 116)(46, 167)(47, 169)(48, 127)(49, 115)(50, 171)(51, 173)(52, 118)(53, 168)(54, 170)(55, 172)(56, 174)(57, 166)(58, 132)(59, 120)(60, 133)(61, 121)(62, 128)(63, 130)(64, 134)(65, 124)(66, 135)(67, 125)(68, 138)(69, 140)(70, 184)(71, 149)(72, 142)(73, 150)(74, 143)(75, 151)(76, 146)(77, 152)(78, 147)(79, 153)(80, 192)(81, 190)(82, 191)(83, 189)(84, 188)(85, 186)(86, 187)(87, 185)(88, 175)(89, 179)(90, 177)(91, 178)(92, 176)(93, 183)(94, 181)(95, 182)(96, 180)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2461
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2465 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^6 * T1^-1, T2 * T1^-1 * T2^3 * T1 * T2^2, T2^3 * T1^-1 * T2^-3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 28, 124, 42, 138, 18, 114, 6, 102, 17, 113, 41, 137, 40, 136, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 46, 142, 33, 129, 13, 109, 4, 100, 12, 108, 32, 128, 56, 152, 24, 120, 8, 104)(9, 105, 25, 121, 57, 153, 38, 134, 66, 162, 31, 127, 11, 107, 30, 126, 65, 161, 39, 135, 60, 156, 26, 122)(14, 110, 34, 130, 64, 160, 29, 125, 63, 159, 37, 133, 15, 111, 36, 132, 62, 158, 27, 123, 61, 157, 35, 131)(19, 115, 43, 139, 69, 165, 54, 150, 78, 174, 49, 145, 21, 117, 48, 144, 77, 173, 55, 151, 72, 168, 44, 140)(22, 118, 50, 146, 76, 172, 47, 143, 75, 171, 53, 149, 23, 119, 52, 148, 74, 170, 45, 141, 73, 169, 51, 147)(58, 154, 83, 179, 68, 164, 82, 178, 94, 190, 86, 182, 59, 155, 85, 181, 67, 163, 81, 177, 93, 189, 84, 180)(70, 166, 89, 185, 80, 176, 88, 184, 96, 192, 92, 188, 71, 167, 91, 187, 79, 175, 87, 183, 95, 191, 90, 186)
	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, 134)(17, 107)(18, 111)(19, 108)(20, 141)(21, 103)(22, 109)(23, 104)(24, 150)(25, 147)(26, 154)(27, 137)(28, 152)(29, 106)(30, 149)(31, 155)(32, 143)(33, 151)(34, 163)(35, 139)(36, 164)(37, 144)(38, 138)(39, 112)(40, 142)(41, 125)(42, 135)(43, 133)(44, 166)(45, 128)(46, 124)(47, 116)(48, 131)(49, 167)(50, 175)(51, 126)(52, 176)(53, 121)(54, 129)(55, 120)(56, 136)(57, 177)(58, 127)(59, 122)(60, 172)(61, 180)(62, 174)(63, 182)(64, 168)(65, 178)(66, 170)(67, 132)(68, 130)(69, 183)(70, 145)(71, 140)(72, 158)(73, 186)(74, 156)(75, 188)(76, 162)(77, 184)(78, 160)(79, 148)(80, 146)(81, 161)(82, 153)(83, 187)(84, 159)(85, 185)(86, 157)(87, 173)(88, 165)(89, 179)(90, 171)(91, 181)(92, 169)(93, 191)(94, 192)(95, 190)(96, 189)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2458
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^4, Y2^4, Y1 * Y3^-2 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y3^2 * Y2 * Y3^-1 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3^2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3^2 * Y2 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2 * Y3^2 * Y2 * Y1^-1 * Y2^-1 * Y1^-2 * Y2, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y2)^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 23, 119, 11, 107)(5, 101, 14, 110, 33, 129, 15, 111)(7, 103, 18, 114, 39, 135, 20, 116)(8, 104, 21, 117, 44, 140, 22, 118)(10, 106, 19, 115, 35, 131, 26, 122)(12, 108, 29, 125, 55, 151, 30, 126)(13, 109, 31, 127, 60, 156, 32, 128)(16, 112, 34, 130, 61, 157, 36, 132)(17, 113, 37, 133, 66, 162, 38, 134)(24, 120, 47, 143, 65, 161, 48, 144)(25, 121, 49, 145, 64, 160, 50, 146)(27, 123, 51, 147, 63, 159, 52, 148)(28, 124, 53, 149, 62, 158, 54, 150)(40, 136, 69, 165, 59, 155, 70, 166)(41, 137, 71, 167, 58, 154, 72, 168)(42, 138, 73, 169, 57, 153, 74, 170)(43, 139, 75, 171, 56, 152, 76, 172)(45, 141, 77, 173, 87, 183, 68, 164)(46, 142, 78, 174, 88, 184, 67, 163)(79, 175, 90, 186, 86, 182, 95, 191)(80, 176, 89, 185, 85, 181, 96, 192)(81, 177, 94, 190, 84, 180, 91, 187)(82, 178, 93, 189, 83, 179, 92, 188)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 218, 314, 205, 301)(198, 294, 208, 304, 227, 323, 209, 305)(201, 297, 216, 312, 206, 302, 217, 313)(203, 299, 219, 315, 207, 303, 220, 316)(210, 306, 232, 328, 213, 309, 233, 329)(212, 308, 234, 330, 214, 310, 235, 331)(215, 311, 237, 333, 225, 321, 238, 334)(221, 317, 248, 344, 223, 319, 249, 345)(222, 318, 250, 346, 224, 320, 251, 347)(226, 322, 254, 350, 229, 325, 255, 351)(228, 324, 256, 352, 230, 326, 257, 353)(231, 327, 259, 355, 236, 332, 260, 356)(239, 335, 271, 367, 241, 337, 272, 368)(240, 336, 273, 369, 242, 338, 274, 370)(243, 339, 275, 371, 245, 341, 276, 372)(244, 340, 277, 373, 246, 342, 278, 374)(247, 343, 270, 366, 252, 348, 269, 365)(253, 349, 279, 375, 258, 354, 280, 376)(261, 357, 281, 377, 263, 359, 282, 378)(262, 358, 283, 379, 264, 360, 284, 380)(265, 361, 285, 381, 267, 363, 286, 382)(266, 362, 287, 383, 268, 364, 288, 384)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 218)(11, 215)(12, 222)(13, 224)(14, 197)(15, 225)(16, 228)(17, 230)(18, 199)(19, 202)(20, 231)(21, 200)(22, 236)(23, 201)(24, 240)(25, 242)(26, 227)(27, 244)(28, 246)(29, 204)(30, 247)(31, 205)(32, 252)(33, 206)(34, 208)(35, 211)(36, 253)(37, 209)(38, 258)(39, 210)(40, 262)(41, 264)(42, 266)(43, 268)(44, 213)(45, 260)(46, 259)(47, 216)(48, 257)(49, 217)(50, 256)(51, 219)(52, 255)(53, 220)(54, 254)(55, 221)(56, 267)(57, 265)(58, 263)(59, 261)(60, 223)(61, 226)(62, 245)(63, 243)(64, 241)(65, 239)(66, 229)(67, 280)(68, 279)(69, 232)(70, 251)(71, 233)(72, 250)(73, 234)(74, 249)(75, 235)(76, 248)(77, 237)(78, 238)(79, 287)(80, 288)(81, 283)(82, 284)(83, 285)(84, 286)(85, 281)(86, 282)(87, 269)(88, 270)(89, 272)(90, 271)(91, 276)(92, 275)(93, 274)(94, 273)(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) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2473
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1^-2 * Y2, Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^3 * Y1 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 41, 137, 29, 125)(16, 112, 38, 134, 42, 138, 39, 135)(20, 116, 45, 141, 32, 128, 47, 143)(24, 120, 54, 150, 33, 129, 55, 151)(25, 121, 51, 147, 30, 126, 53, 149)(26, 122, 58, 154, 31, 127, 59, 155)(28, 124, 56, 152, 40, 136, 46, 142)(34, 130, 67, 163, 36, 132, 68, 164)(35, 131, 43, 139, 37, 133, 48, 144)(44, 140, 70, 166, 49, 145, 71, 167)(50, 146, 79, 175, 52, 148, 80, 176)(57, 153, 81, 177, 65, 161, 82, 178)(60, 156, 76, 172, 66, 162, 74, 170)(61, 157, 84, 180, 63, 159, 86, 182)(62, 158, 78, 174, 64, 160, 72, 168)(69, 165, 87, 183, 77, 173, 88, 184)(73, 169, 90, 186, 75, 171, 92, 188)(83, 179, 91, 187, 85, 181, 89, 185)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 234, 330, 210, 306, 198, 294, 209, 305, 233, 329, 232, 328, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 238, 334, 225, 321, 205, 301, 196, 292, 204, 300, 224, 320, 248, 344, 216, 312, 200, 296)(201, 297, 217, 313, 249, 345, 230, 326, 258, 354, 223, 319, 203, 299, 222, 318, 257, 353, 231, 327, 252, 348, 218, 314)(206, 302, 226, 322, 256, 352, 221, 317, 255, 351, 229, 325, 207, 303, 228, 324, 254, 350, 219, 315, 253, 349, 227, 323)(211, 307, 235, 331, 261, 357, 246, 342, 270, 366, 241, 337, 213, 309, 240, 336, 269, 365, 247, 343, 264, 360, 236, 332)(214, 310, 242, 338, 268, 364, 239, 335, 267, 363, 245, 341, 215, 311, 244, 340, 266, 362, 237, 333, 265, 361, 243, 339)(250, 346, 275, 371, 260, 356, 274, 370, 286, 382, 278, 374, 251, 347, 277, 373, 259, 355, 273, 369, 285, 381, 276, 372)(262, 358, 281, 377, 272, 368, 280, 376, 288, 384, 284, 380, 263, 359, 283, 379, 271, 367, 279, 375, 287, 383, 282, 378)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 233)(18, 198)(19, 235)(20, 238)(21, 240)(22, 242)(23, 244)(24, 200)(25, 249)(26, 201)(27, 253)(28, 234)(29, 255)(30, 257)(31, 203)(32, 248)(33, 205)(34, 256)(35, 206)(36, 254)(37, 207)(38, 258)(39, 252)(40, 208)(41, 232)(42, 210)(43, 261)(44, 211)(45, 265)(46, 225)(47, 267)(48, 269)(49, 213)(50, 268)(51, 214)(52, 266)(53, 215)(54, 270)(55, 264)(56, 216)(57, 230)(58, 275)(59, 277)(60, 218)(61, 227)(62, 219)(63, 229)(64, 221)(65, 231)(66, 223)(67, 273)(68, 274)(69, 246)(70, 281)(71, 283)(72, 236)(73, 243)(74, 237)(75, 245)(76, 239)(77, 247)(78, 241)(79, 279)(80, 280)(81, 285)(82, 286)(83, 260)(84, 250)(85, 259)(86, 251)(87, 287)(88, 288)(89, 272)(90, 262)(91, 271)(92, 263)(93, 276)(94, 278)(95, 282)(96, 284)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2472
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^5 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^2, Y2^-3 * Y1 * Y2^-3 * Y1^-1, (Y1 * Y2^-1)^4, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 53, 149, 21, 117)(8, 104, 22, 118, 61, 157, 23, 119)(10, 106, 28, 124, 62, 158, 30, 126)(12, 108, 33, 129, 78, 174, 35, 131)(13, 109, 36, 132, 73, 169, 37, 133)(16, 112, 44, 140, 80, 176, 45, 141)(17, 113, 47, 143, 81, 177, 49, 145)(18, 114, 50, 146, 86, 182, 51, 147)(20, 116, 56, 152, 87, 183, 58, 154)(24, 120, 66, 162, 32, 128, 67, 163)(26, 122, 54, 150, 43, 139, 65, 161)(27, 123, 48, 144, 82, 178, 71, 167)(29, 125, 68, 164, 83, 179, 75, 171)(31, 127, 76, 172, 84, 180, 63, 159)(34, 130, 79, 175, 40, 136, 55, 151)(38, 134, 64, 160, 85, 181, 69, 165)(41, 137, 70, 166, 88, 184, 59, 155)(42, 138, 60, 156, 89, 185, 52, 148)(46, 142, 57, 153, 90, 186, 72, 168)(74, 170, 93, 189, 95, 191, 91, 187)(77, 173, 94, 190, 96, 192, 92, 188)(193, 289, 195, 291, 202, 298, 221, 317, 247, 343, 211, 307, 246, 342, 229, 325, 258, 354, 238, 334, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 249, 345, 222, 318, 239, 335, 235, 331, 207, 303, 234, 330, 260, 356, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 264, 360, 219, 315, 201, 297, 218, 314, 243, 339, 236, 332, 267, 363, 230, 326, 205, 301)(198, 294, 209, 305, 240, 336, 275, 371, 250, 346, 225, 321, 257, 353, 215, 311, 256, 352, 282, 378, 244, 340, 210, 306)(203, 299, 223, 319, 245, 341, 237, 333, 266, 362, 220, 316, 265, 361, 233, 329, 206, 302, 232, 328, 269, 365, 224, 320)(213, 309, 251, 347, 273, 369, 259, 355, 283, 379, 248, 344, 231, 327, 255, 351, 214, 310, 254, 350, 284, 380, 252, 348)(217, 313, 261, 357, 285, 381, 271, 367, 278, 374, 268, 364, 228, 324, 263, 359, 286, 382, 272, 368, 227, 323, 262, 358)(241, 337, 276, 372, 270, 366, 281, 377, 287, 383, 274, 370, 253, 349, 280, 376, 242, 338, 279, 375, 288, 384, 277, 373)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 240)(18, 198)(19, 246)(20, 249)(21, 251)(22, 254)(23, 256)(24, 200)(25, 261)(26, 243)(27, 201)(28, 265)(29, 247)(30, 239)(31, 245)(32, 203)(33, 257)(34, 264)(35, 262)(36, 263)(37, 258)(38, 205)(39, 255)(40, 269)(41, 206)(42, 260)(43, 207)(44, 267)(45, 266)(46, 208)(47, 235)(48, 275)(49, 276)(50, 279)(51, 236)(52, 210)(53, 237)(54, 229)(55, 211)(56, 231)(57, 222)(58, 225)(59, 273)(60, 213)(61, 280)(62, 284)(63, 214)(64, 282)(65, 215)(66, 238)(67, 283)(68, 216)(69, 285)(70, 217)(71, 286)(72, 219)(73, 233)(74, 220)(75, 230)(76, 228)(77, 224)(78, 281)(79, 278)(80, 227)(81, 259)(82, 253)(83, 250)(84, 270)(85, 241)(86, 268)(87, 288)(88, 242)(89, 287)(90, 244)(91, 248)(92, 252)(93, 271)(94, 272)(95, 274)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E21.2470
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^2 * Y1^-1, (Y2^-1 * Y1)^4, Y2 * Y1^-1 * Y2^-5 * Y1^-1, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y2^-2 * Y1^-1 * Y2^4 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 53, 149, 21, 117)(8, 104, 22, 118, 61, 157, 23, 119)(10, 106, 28, 124, 73, 169, 30, 126)(12, 108, 33, 129, 70, 166, 35, 131)(13, 109, 36, 132, 80, 176, 37, 133)(16, 112, 44, 140, 55, 151, 45, 141)(17, 113, 47, 143, 81, 177, 49, 145)(18, 114, 50, 146, 86, 182, 51, 147)(20, 116, 56, 152, 42, 138, 58, 154)(24, 120, 66, 162, 83, 179, 67, 163)(26, 122, 69, 165, 82, 178, 65, 161)(27, 123, 62, 158, 38, 134, 71, 167)(29, 125, 68, 164, 84, 180, 75, 171)(31, 127, 59, 155, 41, 137, 63, 159)(32, 128, 64, 160, 85, 181, 48, 144)(34, 130, 60, 156, 87, 183, 79, 175)(40, 136, 52, 148, 89, 185, 78, 174)(43, 139, 77, 173, 88, 184, 54, 150)(46, 142, 57, 153, 90, 186, 74, 170)(72, 168, 94, 190, 95, 191, 91, 187)(76, 172, 93, 189, 96, 192, 92, 188)(193, 289, 195, 291, 202, 298, 221, 317, 248, 344, 227, 323, 255, 351, 214, 310, 254, 350, 238, 334, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 249, 345, 224, 320, 203, 299, 223, 319, 242, 338, 237, 333, 260, 356, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 266, 362, 220, 316, 241, 337, 233, 329, 206, 302, 232, 328, 267, 363, 230, 326, 205, 301)(198, 294, 209, 305, 240, 336, 276, 372, 252, 348, 213, 309, 251, 347, 228, 324, 259, 355, 282, 378, 244, 340, 210, 306)(201, 297, 218, 314, 262, 358, 236, 332, 268, 364, 222, 318, 253, 349, 235, 331, 207, 303, 234, 330, 264, 360, 219, 315)(211, 307, 246, 342, 217, 313, 258, 354, 284, 380, 250, 346, 278, 374, 257, 353, 215, 311, 256, 352, 283, 379, 247, 343)(225, 321, 269, 365, 273, 369, 263, 359, 285, 381, 271, 367, 231, 327, 261, 357, 229, 325, 265, 361, 286, 382, 270, 366)(239, 335, 274, 370, 245, 341, 281, 377, 288, 384, 277, 373, 272, 368, 280, 376, 243, 339, 279, 375, 287, 383, 275, 371)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 240)(18, 198)(19, 246)(20, 249)(21, 251)(22, 254)(23, 256)(24, 200)(25, 258)(26, 262)(27, 201)(28, 241)(29, 248)(30, 253)(31, 242)(32, 203)(33, 269)(34, 266)(35, 255)(36, 259)(37, 265)(38, 205)(39, 261)(40, 267)(41, 206)(42, 264)(43, 207)(44, 268)(45, 260)(46, 208)(47, 274)(48, 276)(49, 233)(50, 237)(51, 279)(52, 210)(53, 281)(54, 217)(55, 211)(56, 227)(57, 224)(58, 278)(59, 228)(60, 213)(61, 235)(62, 238)(63, 214)(64, 283)(65, 215)(66, 284)(67, 282)(68, 216)(69, 229)(70, 236)(71, 285)(72, 219)(73, 286)(74, 220)(75, 230)(76, 222)(77, 273)(78, 225)(79, 231)(80, 280)(81, 263)(82, 245)(83, 239)(84, 252)(85, 272)(86, 257)(87, 287)(88, 243)(89, 288)(90, 244)(91, 247)(92, 250)(93, 271)(94, 270)(95, 275)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E21.2471
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2^2 * Y3, Y2^-2 * Y3^-1 * Y2^-2 * Y3, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^3 * Y2 * Y3^3 * Y2^-1, Y3^2 * Y2^-1 * Y3^-3 * Y2^-1 * Y3, Y2^-1 * Y3^-6 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 209, 305, 203, 299)(197, 293, 206, 302, 210, 306, 207, 303)(199, 295, 211, 307, 204, 300, 213, 309)(200, 296, 214, 310, 205, 301, 215, 311)(202, 298, 219, 315, 233, 329, 221, 317)(208, 304, 230, 326, 234, 330, 231, 327)(212, 308, 237, 333, 224, 320, 239, 335)(216, 312, 246, 342, 225, 321, 247, 343)(217, 313, 243, 339, 222, 318, 245, 341)(218, 314, 250, 346, 223, 319, 251, 347)(220, 316, 248, 344, 232, 328, 238, 334)(226, 322, 259, 355, 228, 324, 260, 356)(227, 323, 235, 331, 229, 325, 240, 336)(236, 332, 262, 358, 241, 337, 263, 359)(242, 338, 271, 367, 244, 340, 272, 368)(249, 345, 273, 369, 257, 353, 274, 370)(252, 348, 268, 364, 258, 354, 266, 362)(253, 349, 276, 372, 255, 351, 278, 374)(254, 350, 270, 366, 256, 352, 264, 360)(261, 357, 279, 375, 269, 365, 280, 376)(265, 361, 282, 378, 267, 363, 284, 380)(275, 371, 283, 379, 277, 373, 281, 377)(285, 381, 287, 383, 286, 382, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 233)(18, 198)(19, 235)(20, 238)(21, 240)(22, 242)(23, 244)(24, 200)(25, 249)(26, 201)(27, 253)(28, 234)(29, 255)(30, 257)(31, 203)(32, 248)(33, 205)(34, 256)(35, 206)(36, 254)(37, 207)(38, 258)(39, 252)(40, 208)(41, 232)(42, 210)(43, 261)(44, 211)(45, 265)(46, 225)(47, 267)(48, 269)(49, 213)(50, 268)(51, 214)(52, 266)(53, 215)(54, 270)(55, 264)(56, 216)(57, 230)(58, 275)(59, 277)(60, 218)(61, 227)(62, 219)(63, 229)(64, 221)(65, 231)(66, 223)(67, 273)(68, 274)(69, 246)(70, 281)(71, 283)(72, 236)(73, 243)(74, 237)(75, 245)(76, 239)(77, 247)(78, 241)(79, 279)(80, 280)(81, 285)(82, 286)(83, 260)(84, 250)(85, 259)(86, 251)(87, 287)(88, 288)(89, 272)(90, 262)(91, 271)(92, 263)(93, 276)(94, 278)(95, 282)(96, 284)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2468
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2^2, Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^3 * Y2^-1 * Y3^2, Y3^4 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2^-1 * Y3^5 * Y2^-1, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 217, 313, 203, 299)(197, 293, 206, 302, 231, 327, 207, 303)(199, 295, 211, 307, 245, 341, 213, 309)(200, 296, 214, 310, 253, 349, 215, 311)(202, 298, 220, 316, 254, 350, 222, 318)(204, 300, 225, 321, 270, 366, 227, 323)(205, 301, 228, 324, 265, 361, 229, 325)(208, 304, 236, 332, 272, 368, 237, 333)(209, 305, 239, 335, 273, 369, 241, 337)(210, 306, 242, 338, 278, 374, 243, 339)(212, 308, 248, 344, 279, 375, 250, 346)(216, 312, 258, 354, 224, 320, 259, 355)(218, 314, 246, 342, 235, 331, 257, 353)(219, 315, 240, 336, 274, 370, 263, 359)(221, 317, 260, 356, 275, 371, 267, 363)(223, 319, 268, 364, 276, 372, 255, 351)(226, 322, 271, 367, 232, 328, 247, 343)(230, 326, 256, 352, 277, 373, 261, 357)(233, 329, 262, 358, 280, 376, 251, 347)(234, 330, 252, 348, 281, 377, 244, 340)(238, 334, 249, 345, 282, 378, 264, 360)(266, 362, 285, 381, 287, 383, 283, 379)(269, 365, 286, 382, 288, 384, 284, 380)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 240)(18, 198)(19, 246)(20, 249)(21, 251)(22, 254)(23, 256)(24, 200)(25, 261)(26, 243)(27, 201)(28, 265)(29, 247)(30, 239)(31, 245)(32, 203)(33, 257)(34, 264)(35, 262)(36, 263)(37, 258)(38, 205)(39, 255)(40, 269)(41, 206)(42, 260)(43, 207)(44, 267)(45, 266)(46, 208)(47, 235)(48, 275)(49, 276)(50, 279)(51, 236)(52, 210)(53, 237)(54, 229)(55, 211)(56, 231)(57, 222)(58, 225)(59, 273)(60, 213)(61, 280)(62, 284)(63, 214)(64, 282)(65, 215)(66, 238)(67, 283)(68, 216)(69, 285)(70, 217)(71, 286)(72, 219)(73, 233)(74, 220)(75, 230)(76, 228)(77, 224)(78, 281)(79, 278)(80, 227)(81, 259)(82, 253)(83, 250)(84, 270)(85, 241)(86, 268)(87, 288)(88, 242)(89, 287)(90, 244)(91, 248)(92, 252)(93, 271)(94, 272)(95, 274)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2469
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y2^2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1, Y3^3 * Y2 * Y3^3 * Y2^-1, Y3 * Y2^-1 * Y3^-5 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 217, 313, 203, 299)(197, 293, 206, 302, 231, 327, 207, 303)(199, 295, 211, 307, 245, 341, 213, 309)(200, 296, 214, 310, 253, 349, 215, 311)(202, 298, 220, 316, 265, 361, 222, 318)(204, 300, 225, 321, 262, 358, 227, 323)(205, 301, 228, 324, 272, 368, 229, 325)(208, 304, 236, 332, 247, 343, 237, 333)(209, 305, 239, 335, 273, 369, 241, 337)(210, 306, 242, 338, 278, 374, 243, 339)(212, 308, 248, 344, 234, 330, 250, 346)(216, 312, 258, 354, 275, 371, 259, 355)(218, 314, 261, 357, 274, 370, 257, 353)(219, 315, 254, 350, 230, 326, 263, 359)(221, 317, 260, 356, 276, 372, 267, 363)(223, 319, 251, 347, 233, 329, 255, 351)(224, 320, 256, 352, 277, 373, 240, 336)(226, 322, 252, 348, 279, 375, 271, 367)(232, 328, 244, 340, 281, 377, 270, 366)(235, 331, 269, 365, 280, 376, 246, 342)(238, 334, 249, 345, 282, 378, 266, 362)(264, 360, 286, 382, 287, 383, 283, 379)(268, 364, 285, 381, 288, 384, 284, 380)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 240)(18, 198)(19, 246)(20, 249)(21, 251)(22, 254)(23, 256)(24, 200)(25, 258)(26, 262)(27, 201)(28, 241)(29, 248)(30, 253)(31, 242)(32, 203)(33, 269)(34, 266)(35, 255)(36, 259)(37, 265)(38, 205)(39, 261)(40, 267)(41, 206)(42, 264)(43, 207)(44, 268)(45, 260)(46, 208)(47, 274)(48, 276)(49, 233)(50, 237)(51, 279)(52, 210)(53, 281)(54, 217)(55, 211)(56, 227)(57, 224)(58, 278)(59, 228)(60, 213)(61, 235)(62, 238)(63, 214)(64, 283)(65, 215)(66, 284)(67, 282)(68, 216)(69, 229)(70, 236)(71, 285)(72, 219)(73, 286)(74, 220)(75, 230)(76, 222)(77, 273)(78, 225)(79, 231)(80, 280)(81, 263)(82, 245)(83, 239)(84, 252)(85, 272)(86, 257)(87, 287)(88, 243)(89, 288)(90, 244)(91, 247)(92, 250)(93, 271)(94, 270)(95, 275)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2467
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = A4 : Q8 (small group id <96, 185>)
Aut   = $<192, 1471>$ (small group id <192, 1471>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1 * Y3 * Y1^-1)^2, Y1^-3 * Y3^-2 * Y1^-3, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^4, Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 17, 113, 41, 137, 28, 124, 10, 106, 21, 117, 45, 141, 35, 131, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 43, 139, 40, 136, 16, 112, 5, 101, 15, 111, 39, 135, 42, 138, 30, 126, 11, 107)(7, 103, 20, 116, 49, 145, 34, 130, 56, 152, 24, 120, 8, 104, 23, 119, 55, 151, 36, 132, 53, 149, 22, 118)(12, 108, 32, 128, 48, 144, 19, 115, 47, 143, 38, 134, 14, 110, 37, 133, 46, 142, 18, 114, 44, 140, 33, 129)(26, 122, 59, 155, 81, 177, 64, 160, 71, 167, 62, 158, 27, 123, 61, 157, 84, 180, 65, 161, 72, 168, 60, 156)(29, 125, 63, 159, 78, 174, 58, 154, 76, 172, 51, 147, 31, 127, 66, 162, 79, 175, 57, 153, 75, 171, 50, 146)(52, 148, 77, 173, 68, 164, 74, 170, 88, 184, 70, 166, 54, 150, 80, 176, 67, 163, 73, 169, 87, 183, 69, 165)(82, 178, 92, 188, 86, 182, 94, 190, 96, 192, 90, 186, 83, 179, 91, 187, 85, 181, 93, 189, 95, 191, 89, 185)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 221)(12, 220)(13, 226)(14, 196)(15, 219)(16, 223)(17, 234)(18, 237)(19, 198)(20, 242)(21, 200)(22, 244)(23, 243)(24, 246)(25, 249)(26, 207)(27, 201)(28, 206)(29, 208)(30, 256)(31, 203)(32, 259)(33, 251)(34, 233)(35, 235)(36, 205)(37, 260)(38, 253)(39, 250)(40, 257)(41, 228)(42, 227)(43, 209)(44, 261)(45, 211)(46, 263)(47, 262)(48, 264)(49, 265)(50, 215)(51, 212)(52, 216)(53, 270)(54, 214)(55, 266)(56, 271)(57, 231)(58, 217)(59, 230)(60, 274)(61, 225)(62, 275)(63, 277)(64, 232)(65, 222)(66, 278)(67, 229)(68, 224)(69, 239)(70, 236)(71, 240)(72, 238)(73, 247)(74, 241)(75, 281)(76, 282)(77, 283)(78, 248)(79, 245)(80, 284)(81, 285)(82, 254)(83, 252)(84, 286)(85, 258)(86, 255)(87, 287)(88, 288)(89, 268)(90, 267)(91, 272)(92, 269)(93, 276)(94, 273)(95, 280)(96, 279)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2466
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2474 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, (T2^-1 * T1^-1 * T2^-1 * T1^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 14, 25)(11, 27, 15, 28)(18, 40, 21, 41)(20, 42, 22, 43)(23, 45, 33, 46)(29, 56, 31, 57)(30, 58, 32, 59)(34, 62, 37, 63)(36, 64, 38, 65)(39, 67, 44, 68)(47, 79, 49, 80)(48, 81, 50, 82)(51, 83, 53, 84)(52, 85, 54, 86)(55, 77, 60, 78)(61, 87, 66, 88)(69, 89, 71, 90)(70, 91, 72, 92)(73, 93, 75, 94)(74, 95, 76, 96)(97, 98, 102, 100)(99, 105, 119, 107)(101, 110, 129, 111)(103, 114, 135, 116)(104, 117, 140, 118)(106, 115, 131, 122)(108, 125, 151, 126)(109, 127, 156, 128)(112, 130, 157, 132)(113, 133, 162, 134)(120, 143, 160, 144)(121, 145, 161, 146)(123, 147, 158, 148)(124, 149, 159, 150)(136, 165, 154, 166)(137, 167, 155, 168)(138, 169, 152, 170)(139, 171, 153, 172)(141, 173, 183, 163)(142, 174, 184, 164)(175, 185, 181, 191)(176, 186, 182, 192)(177, 189, 179, 187)(178, 190, 180, 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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2484
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2475 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, (F * T2)^2, (T2^-1 * T1^-1 * T2^-1)^2, (T2 * T1^-1 * T2)^2, (T1 * T2^-1 * T1 * T2 * T1)^2, T1^-1 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1 * T2 * T1^-2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 15, 25)(11, 27, 14, 28)(18, 40, 22, 41)(20, 42, 21, 43)(23, 45, 33, 46)(29, 56, 32, 57)(30, 58, 31, 59)(34, 62, 38, 63)(36, 64, 37, 65)(39, 67, 44, 68)(47, 79, 50, 80)(48, 81, 49, 82)(51, 83, 54, 84)(52, 85, 53, 86)(55, 77, 60, 78)(61, 87, 66, 88)(69, 89, 72, 90)(70, 91, 71, 92)(73, 93, 76, 94)(74, 95, 75, 96)(97, 98, 102, 100)(99, 105, 119, 107)(101, 110, 129, 111)(103, 114, 135, 116)(104, 117, 140, 118)(106, 122, 131, 115)(108, 125, 151, 126)(109, 127, 156, 128)(112, 130, 157, 132)(113, 133, 162, 134)(120, 143, 160, 144)(121, 145, 161, 146)(123, 147, 158, 148)(124, 149, 159, 150)(136, 165, 154, 166)(137, 167, 155, 168)(138, 169, 152, 170)(139, 171, 153, 172)(141, 163, 183, 173)(142, 174, 184, 164)(175, 185, 181, 191)(176, 192, 182, 186)(177, 189, 179, 187)(178, 188, 180, 190)
	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) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2485
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2476 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^-2 * T1 * T2^3 * T1^-1 * T2^-1, T2 * T1 * T2^2 * T1 * T2 * T1^2, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 52, 19, 51, 36, 70, 43, 16, 5)(2, 7, 20, 54, 79, 44, 41, 15, 40, 62, 24, 8)(4, 12, 33, 66, 27, 9, 26, 48, 86, 76, 37, 13)(6, 17, 45, 81, 73, 32, 60, 23, 59, 88, 49, 18)(11, 30, 14, 39, 68, 28, 67, 89, 50, 42, 71, 31)(21, 55, 22, 58, 90, 53, 38, 77, 78, 61, 91, 56)(25, 63, 93, 75, 34, 69, 35, 65, 94, 74, 84, 64)(46, 82, 47, 85, 95, 80, 57, 92, 72, 87, 96, 83)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 134, 111)(103, 115, 146, 117)(104, 118, 153, 119)(106, 124, 157, 120)(108, 128, 168, 130)(109, 131, 163, 132)(112, 129, 170, 138)(113, 140, 174, 142)(114, 143, 180, 144)(116, 149, 183, 145)(122, 147, 137, 156)(123, 155, 179, 161)(125, 150, 177, 162)(126, 165, 178, 151)(127, 154, 175, 166)(133, 141, 176, 159)(135, 148, 182, 171)(136, 152, 181, 169)(139, 158, 184, 172)(160, 188, 173, 185)(164, 190, 191, 186)(167, 189, 192, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2480
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2477 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2^2 * T1^-1, T1^-1 * T2^-5 * T1^-1 * T2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 69, 35, 59, 22, 58, 43, 16, 5)(2, 7, 20, 53, 32, 11, 31, 47, 85, 62, 24, 8)(4, 12, 34, 70, 83, 46, 40, 14, 39, 68, 28, 13)(6, 17, 45, 81, 56, 21, 55, 36, 72, 88, 49, 18)(9, 26, 15, 41, 71, 30, 57, 92, 73, 42, 66, 27)(19, 51, 23, 60, 91, 54, 84, 63, 25, 61, 90, 52)(33, 64, 37, 65, 93, 75, 38, 77, 78, 67, 94, 74)(44, 79, 48, 86, 96, 82, 76, 89, 50, 87, 95, 80)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 134, 111)(103, 115, 146, 117)(104, 118, 153, 119)(106, 124, 163, 126)(108, 129, 169, 131)(109, 132, 172, 133)(112, 138, 150, 116)(113, 140, 174, 142)(114, 143, 180, 144)(120, 157, 178, 141)(122, 160, 175, 147)(123, 154, 179, 161)(125, 149, 177, 166)(127, 151, 136, 155)(128, 156, 176, 168)(130, 145, 183, 171)(135, 152, 182, 170)(137, 148, 181, 165)(139, 158, 184, 164)(159, 188, 173, 185)(162, 190, 191, 186)(167, 189, 192, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2481
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2478 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2^-3 * T1^-1)^2, T2^4 * T1^2 * T2^2, (T2^3 * T1^-1)^2, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1^-1 * T2 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 42, 18, 6, 17, 41, 40, 16, 5)(2, 7, 20, 46, 33, 13, 4, 12, 32, 56, 24, 8)(9, 25, 57, 39, 66, 31, 11, 30, 65, 38, 60, 26)(14, 34, 62, 27, 61, 37, 15, 36, 64, 29, 63, 35)(19, 43, 69, 55, 78, 49, 21, 48, 77, 54, 72, 44)(22, 50, 74, 45, 73, 53, 23, 52, 76, 47, 75, 51)(58, 83, 68, 81, 93, 86, 59, 85, 67, 82, 94, 84)(70, 89, 80, 87, 95, 92, 71, 91, 79, 88, 96, 90)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 137, 125)(112, 134, 138, 135)(116, 141, 128, 143)(120, 150, 129, 151)(121, 147, 126, 149)(122, 154, 127, 155)(124, 142, 136, 152)(130, 163, 132, 164)(131, 139, 133, 144)(140, 166, 145, 167)(146, 175, 148, 176)(153, 177, 161, 178)(156, 172, 162, 170)(157, 180, 159, 182)(158, 174, 160, 168)(165, 183, 173, 184)(169, 186, 171, 188)(179, 185, 181, 187)(189, 191, 190, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2482
Transitivity :: ET+
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2479 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2 * T1^-1)^2, (F * T1)^2, T1^4, T2^4 * T1^-1 * T2^-2 * T1^-1, T2^3 * T1^-1 * T2^-3 * T1, (T2^-1 * T1^-1)^4, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 39, 71, 95, 84, 55, 32, 14, 5)(2, 7, 18, 40, 62, 89, 85, 59, 31, 44, 20, 8)(4, 11, 26, 50, 23, 49, 79, 92, 66, 56, 28, 12)(6, 15, 34, 63, 53, 82, 96, 74, 43, 67, 36, 16)(9, 21, 46, 69, 93, 83, 58, 30, 13, 29, 48, 22)(17, 37, 68, 87, 78, 57, 73, 42, 19, 41, 70, 38)(25, 51, 77, 47, 76, 90, 75, 45, 27, 54, 81, 52)(33, 60, 86, 80, 94, 72, 91, 65, 35, 64, 88, 61)(97, 98, 102, 100)(99, 105, 115, 104)(101, 107, 121, 109)(103, 113, 131, 112)(106, 119, 143, 118)(108, 111, 129, 123)(110, 125, 153, 127)(114, 135, 165, 134)(116, 137, 168, 139)(117, 141, 156, 138)(120, 136, 159, 146)(122, 149, 176, 148)(124, 150, 179, 151)(126, 147, 161, 133)(128, 140, 163, 152)(130, 158, 183, 157)(132, 160, 186, 162)(142, 167, 188, 171)(144, 172, 184, 174)(145, 170, 187, 173)(154, 164, 185, 180)(155, 169, 182, 178)(166, 189, 177, 190)(175, 191, 181, 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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2483
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2480 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, (T2^-1 * T1^-1 * T2^-1 * T1^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 26, 122, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 14, 110, 25, 121)(11, 107, 27, 123, 15, 111, 28, 124)(18, 114, 40, 136, 21, 117, 41, 137)(20, 116, 42, 138, 22, 118, 43, 139)(23, 119, 45, 141, 33, 129, 46, 142)(29, 125, 56, 152, 31, 127, 57, 153)(30, 126, 58, 154, 32, 128, 59, 155)(34, 130, 62, 158, 37, 133, 63, 159)(36, 132, 64, 160, 38, 134, 65, 161)(39, 135, 67, 163, 44, 140, 68, 164)(47, 143, 79, 175, 49, 145, 80, 176)(48, 144, 81, 177, 50, 146, 82, 178)(51, 147, 83, 179, 53, 149, 84, 180)(52, 148, 85, 181, 54, 150, 86, 182)(55, 151, 77, 173, 60, 156, 78, 174)(61, 157, 87, 183, 66, 162, 88, 184)(69, 165, 89, 185, 71, 167, 90, 186)(70, 166, 91, 187, 72, 168, 92, 188)(73, 169, 93, 189, 75, 171, 94, 190)(74, 170, 95, 191, 76, 172, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 115)(11, 99)(12, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 133)(18, 135)(19, 131)(20, 103)(21, 140)(22, 104)(23, 107)(24, 143)(25, 145)(26, 106)(27, 147)(28, 149)(29, 151)(30, 108)(31, 156)(32, 109)(33, 111)(34, 157)(35, 122)(36, 112)(37, 162)(38, 113)(39, 116)(40, 165)(41, 167)(42, 169)(43, 171)(44, 118)(45, 173)(46, 174)(47, 160)(48, 120)(49, 161)(50, 121)(51, 158)(52, 123)(53, 159)(54, 124)(55, 126)(56, 170)(57, 172)(58, 166)(59, 168)(60, 128)(61, 132)(62, 148)(63, 150)(64, 144)(65, 146)(66, 134)(67, 141)(68, 142)(69, 154)(70, 136)(71, 155)(72, 137)(73, 152)(74, 138)(75, 153)(76, 139)(77, 183)(78, 184)(79, 185)(80, 186)(81, 189)(82, 190)(83, 187)(84, 188)(85, 191)(86, 192)(87, 163)(88, 164)(89, 181)(90, 182)(91, 177)(92, 178)(93, 179)(94, 180)(95, 175)(96, 176)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2476
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2481 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, T2^4, (F * T2)^2, (T2^-1 * T1^-1 * T2^-1)^2, (T2 * T1^-1 * T2)^2, (T1 * T2^-1 * T1 * T2 * T1)^2, T1^-1 * T2 * T1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1 * T2 * T1^-2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 26, 122, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 15, 111, 25, 121)(11, 107, 27, 123, 14, 110, 28, 124)(18, 114, 40, 136, 22, 118, 41, 137)(20, 116, 42, 138, 21, 117, 43, 139)(23, 119, 45, 141, 33, 129, 46, 142)(29, 125, 56, 152, 32, 128, 57, 153)(30, 126, 58, 154, 31, 127, 59, 155)(34, 130, 62, 158, 38, 134, 63, 159)(36, 132, 64, 160, 37, 133, 65, 161)(39, 135, 67, 163, 44, 140, 68, 164)(47, 143, 79, 175, 50, 146, 80, 176)(48, 144, 81, 177, 49, 145, 82, 178)(51, 147, 83, 179, 54, 150, 84, 180)(52, 148, 85, 181, 53, 149, 86, 182)(55, 151, 77, 173, 60, 156, 78, 174)(61, 157, 87, 183, 66, 162, 88, 184)(69, 165, 89, 185, 72, 168, 90, 186)(70, 166, 91, 187, 71, 167, 92, 188)(73, 169, 93, 189, 76, 172, 94, 190)(74, 170, 95, 191, 75, 171, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 133)(18, 135)(19, 106)(20, 103)(21, 140)(22, 104)(23, 107)(24, 143)(25, 145)(26, 131)(27, 147)(28, 149)(29, 151)(30, 108)(31, 156)(32, 109)(33, 111)(34, 157)(35, 115)(36, 112)(37, 162)(38, 113)(39, 116)(40, 165)(41, 167)(42, 169)(43, 171)(44, 118)(45, 163)(46, 174)(47, 160)(48, 120)(49, 161)(50, 121)(51, 158)(52, 123)(53, 159)(54, 124)(55, 126)(56, 170)(57, 172)(58, 166)(59, 168)(60, 128)(61, 132)(62, 148)(63, 150)(64, 144)(65, 146)(66, 134)(67, 183)(68, 142)(69, 154)(70, 136)(71, 155)(72, 137)(73, 152)(74, 138)(75, 153)(76, 139)(77, 141)(78, 184)(79, 185)(80, 192)(81, 189)(82, 188)(83, 187)(84, 190)(85, 191)(86, 186)(87, 173)(88, 164)(89, 181)(90, 176)(91, 177)(92, 180)(93, 179)(94, 178)(95, 175)(96, 182)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2477
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2482 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T2^4, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1, (T2^-2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 34, 130, 17, 113)(9, 105, 23, 119, 46, 142, 24, 120)(11, 107, 27, 123, 54, 150, 28, 124)(14, 110, 30, 126, 56, 152, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 62, 158, 36, 132)(20, 116, 39, 135, 70, 166, 40, 136)(21, 117, 41, 137, 72, 168, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(25, 121, 50, 146, 85, 181, 51, 147)(26, 122, 52, 148, 86, 182, 53, 149)(37, 133, 66, 162, 95, 191, 67, 163)(38, 134, 68, 164, 96, 192, 69, 165)(45, 141, 77, 173, 58, 154, 78, 174)(47, 143, 79, 175, 59, 155, 80, 176)(48, 144, 81, 177, 55, 151, 82, 178)(49, 145, 83, 179, 57, 153, 84, 180)(61, 157, 87, 183, 74, 170, 88, 184)(63, 159, 89, 185, 75, 171, 90, 186)(64, 160, 91, 187, 71, 167, 92, 188)(65, 161, 93, 189, 73, 169, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 121)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 133)(20, 103)(21, 109)(22, 104)(23, 141)(24, 144)(25, 130)(26, 106)(27, 143)(28, 145)(29, 134)(30, 151)(31, 154)(32, 153)(33, 155)(34, 122)(35, 157)(36, 160)(37, 125)(38, 115)(39, 159)(40, 161)(41, 167)(42, 170)(43, 169)(44, 171)(45, 123)(46, 163)(47, 119)(48, 124)(49, 120)(50, 168)(51, 158)(52, 172)(53, 166)(54, 165)(55, 128)(56, 162)(57, 126)(58, 129)(59, 127)(60, 164)(61, 135)(62, 149)(63, 131)(64, 136)(65, 132)(66, 156)(67, 150)(68, 152)(69, 142)(70, 147)(71, 139)(72, 148)(73, 137)(74, 140)(75, 138)(76, 146)(77, 183)(78, 188)(79, 185)(80, 190)(81, 187)(82, 184)(83, 189)(84, 186)(85, 191)(86, 192)(87, 175)(88, 180)(89, 173)(90, 178)(91, 179)(92, 176)(93, 177)(94, 174)(95, 182)(96, 181)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2478
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2483 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1^-2)^2, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2 * T1, T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 34, 130, 17, 113)(9, 105, 23, 119, 46, 142, 24, 120)(11, 107, 27, 123, 54, 150, 28, 124)(14, 110, 30, 126, 56, 152, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 62, 158, 36, 132)(20, 116, 39, 135, 70, 166, 40, 136)(21, 117, 41, 137, 72, 168, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(25, 121, 50, 146, 85, 181, 51, 147)(26, 122, 52, 148, 86, 182, 53, 149)(37, 133, 66, 162, 95, 191, 67, 163)(38, 134, 68, 164, 96, 192, 69, 165)(45, 141, 77, 173, 58, 154, 78, 174)(47, 143, 79, 175, 59, 155, 80, 176)(48, 144, 81, 177, 55, 151, 82, 178)(49, 145, 83, 179, 57, 153, 84, 180)(61, 157, 87, 183, 74, 170, 88, 184)(63, 159, 89, 185, 75, 171, 90, 186)(64, 160, 91, 187, 71, 167, 92, 188)(65, 161, 93, 189, 73, 169, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 113)(10, 121)(11, 99)(12, 118)(13, 116)(14, 112)(15, 101)(16, 111)(17, 107)(18, 109)(19, 133)(20, 103)(21, 108)(22, 104)(23, 141)(24, 144)(25, 130)(26, 106)(27, 145)(28, 143)(29, 134)(30, 151)(31, 154)(32, 155)(33, 153)(34, 122)(35, 157)(36, 160)(37, 125)(38, 115)(39, 161)(40, 159)(41, 167)(42, 170)(43, 171)(44, 169)(45, 124)(46, 162)(47, 119)(48, 123)(49, 120)(50, 168)(51, 158)(52, 166)(53, 172)(54, 165)(55, 129)(56, 163)(57, 126)(58, 128)(59, 127)(60, 164)(61, 136)(62, 148)(63, 131)(64, 135)(65, 132)(66, 150)(67, 156)(68, 152)(69, 142)(70, 147)(71, 140)(72, 149)(73, 137)(74, 139)(75, 138)(76, 146)(77, 183)(78, 188)(79, 189)(80, 186)(81, 187)(82, 184)(83, 185)(84, 190)(85, 191)(86, 192)(87, 176)(88, 179)(89, 178)(90, 173)(91, 180)(92, 175)(93, 174)(94, 177)(95, 182)(96, 181)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2479
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2484 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^-2 * T1 * T2^3 * T1^-1 * T2^-1, T2 * T1 * T2^2 * T1 * T2 * T1^2, (T2^-1 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 52, 148, 19, 115, 51, 147, 36, 132, 70, 166, 43, 139, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 54, 150, 79, 175, 44, 140, 41, 137, 15, 111, 40, 136, 62, 158, 24, 120, 8, 104)(4, 100, 12, 108, 33, 129, 66, 162, 27, 123, 9, 105, 26, 122, 48, 144, 86, 182, 76, 172, 37, 133, 13, 109)(6, 102, 17, 113, 45, 141, 81, 177, 73, 169, 32, 128, 60, 156, 23, 119, 59, 155, 88, 184, 49, 145, 18, 114)(11, 107, 30, 126, 14, 110, 39, 135, 68, 164, 28, 124, 67, 163, 89, 185, 50, 146, 42, 138, 71, 167, 31, 127)(21, 117, 55, 151, 22, 118, 58, 154, 90, 186, 53, 149, 38, 134, 77, 173, 78, 174, 61, 157, 91, 187, 56, 152)(25, 121, 63, 159, 93, 189, 75, 171, 34, 130, 69, 165, 35, 131, 65, 161, 94, 190, 74, 170, 84, 180, 64, 160)(46, 142, 82, 178, 47, 143, 85, 181, 95, 191, 80, 176, 57, 153, 92, 188, 72, 168, 87, 183, 96, 192, 83, 179)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 128)(13, 131)(14, 134)(15, 101)(16, 129)(17, 140)(18, 143)(19, 146)(20, 149)(21, 103)(22, 153)(23, 104)(24, 106)(25, 107)(26, 147)(27, 155)(28, 157)(29, 150)(30, 165)(31, 154)(32, 168)(33, 170)(34, 108)(35, 163)(36, 109)(37, 141)(38, 111)(39, 148)(40, 152)(41, 156)(42, 112)(43, 158)(44, 174)(45, 176)(46, 113)(47, 180)(48, 114)(49, 116)(50, 117)(51, 137)(52, 182)(53, 183)(54, 177)(55, 126)(56, 181)(57, 119)(58, 175)(59, 179)(60, 122)(61, 120)(62, 184)(63, 133)(64, 188)(65, 123)(66, 125)(67, 132)(68, 190)(69, 178)(70, 127)(71, 189)(72, 130)(73, 136)(74, 138)(75, 135)(76, 139)(77, 185)(78, 142)(79, 166)(80, 159)(81, 162)(82, 151)(83, 161)(84, 144)(85, 169)(86, 171)(87, 145)(88, 172)(89, 160)(90, 164)(91, 167)(92, 173)(93, 192)(94, 191)(95, 186)(96, 187)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2474
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2485 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^2, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2^2 * T1^-1, T1^-1 * T2^-5 * T1^-1 * T2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 69, 165, 35, 131, 59, 155, 22, 118, 58, 154, 43, 139, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 53, 149, 32, 128, 11, 107, 31, 127, 47, 143, 85, 181, 62, 158, 24, 120, 8, 104)(4, 100, 12, 108, 34, 130, 70, 166, 83, 179, 46, 142, 40, 136, 14, 110, 39, 135, 68, 164, 28, 124, 13, 109)(6, 102, 17, 113, 45, 141, 81, 177, 56, 152, 21, 117, 55, 151, 36, 132, 72, 168, 88, 184, 49, 145, 18, 114)(9, 105, 26, 122, 15, 111, 41, 137, 71, 167, 30, 126, 57, 153, 92, 188, 73, 169, 42, 138, 66, 162, 27, 123)(19, 115, 51, 147, 23, 119, 60, 156, 91, 187, 54, 150, 84, 180, 63, 159, 25, 121, 61, 157, 90, 186, 52, 148)(33, 129, 64, 160, 37, 133, 65, 161, 93, 189, 75, 171, 38, 134, 77, 173, 78, 174, 67, 163, 94, 190, 74, 170)(44, 140, 79, 175, 48, 144, 86, 182, 96, 192, 82, 178, 76, 172, 89, 185, 50, 146, 87, 183, 95, 191, 80, 176)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 129)(13, 132)(14, 134)(15, 101)(16, 138)(17, 140)(18, 143)(19, 146)(20, 112)(21, 103)(22, 153)(23, 104)(24, 157)(25, 107)(26, 160)(27, 154)(28, 163)(29, 149)(30, 106)(31, 151)(32, 156)(33, 169)(34, 145)(35, 108)(36, 172)(37, 109)(38, 111)(39, 152)(40, 155)(41, 148)(42, 150)(43, 158)(44, 174)(45, 120)(46, 113)(47, 180)(48, 114)(49, 183)(50, 117)(51, 122)(52, 181)(53, 177)(54, 116)(55, 136)(56, 182)(57, 119)(58, 179)(59, 127)(60, 176)(61, 178)(62, 184)(63, 188)(64, 175)(65, 123)(66, 190)(67, 126)(68, 139)(69, 137)(70, 125)(71, 189)(72, 128)(73, 131)(74, 135)(75, 130)(76, 133)(77, 185)(78, 142)(79, 147)(80, 168)(81, 166)(82, 141)(83, 161)(84, 144)(85, 165)(86, 170)(87, 171)(88, 164)(89, 159)(90, 162)(91, 167)(92, 173)(93, 192)(94, 191)(95, 186)(96, 187)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2475
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, Y2^4, Y1^4, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, R * Y2^-2 * R * Y1 * Y2^-2 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * R * Y2^2 * R * Y2^-1 * Y3 * Y2, Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * R * Y2^-2 * Y3 * Y2^-1 * R * Y2^-1, Y2^-1 * R * Y2 * Y3^-1 * Y2^-2 * R * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 16, 112, 11, 107)(5, 101, 14, 110, 17, 113, 15, 111)(7, 103, 18, 114, 12, 108, 20, 116)(8, 104, 21, 117, 13, 109, 22, 118)(10, 106, 25, 121, 34, 130, 26, 122)(19, 115, 37, 133, 29, 125, 38, 134)(23, 119, 45, 141, 27, 123, 47, 143)(24, 120, 48, 144, 28, 124, 49, 145)(30, 126, 55, 151, 32, 128, 57, 153)(31, 127, 58, 154, 33, 129, 59, 155)(35, 131, 61, 157, 39, 135, 63, 159)(36, 132, 64, 160, 40, 136, 65, 161)(41, 137, 71, 167, 43, 139, 73, 169)(42, 138, 74, 170, 44, 140, 75, 171)(46, 142, 67, 163, 54, 150, 69, 165)(50, 146, 72, 168, 52, 148, 76, 172)(51, 147, 62, 158, 53, 149, 70, 166)(56, 152, 66, 162, 60, 156, 68, 164)(77, 173, 87, 183, 79, 175, 89, 185)(78, 174, 92, 188, 80, 176, 94, 190)(81, 177, 91, 187, 83, 179, 93, 189)(82, 178, 88, 184, 84, 180, 90, 186)(85, 181, 95, 191, 86, 182, 96, 192)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 221, 317, 205, 301)(198, 294, 208, 304, 226, 322, 209, 305)(201, 297, 215, 311, 238, 334, 216, 312)(203, 299, 219, 315, 246, 342, 220, 316)(206, 302, 222, 318, 248, 344, 223, 319)(207, 303, 224, 320, 252, 348, 225, 321)(210, 306, 227, 323, 254, 350, 228, 324)(212, 308, 231, 327, 262, 358, 232, 328)(213, 309, 233, 329, 264, 360, 234, 330)(214, 310, 235, 331, 268, 364, 236, 332)(217, 313, 242, 338, 277, 373, 243, 339)(218, 314, 244, 340, 278, 374, 245, 341)(229, 325, 258, 354, 287, 383, 259, 355)(230, 326, 260, 356, 288, 384, 261, 357)(237, 333, 269, 365, 250, 346, 270, 366)(239, 335, 271, 367, 251, 347, 272, 368)(240, 336, 273, 369, 247, 343, 274, 370)(241, 337, 275, 371, 249, 345, 276, 372)(253, 349, 279, 375, 266, 362, 280, 376)(255, 351, 281, 377, 267, 363, 282, 378)(256, 352, 283, 379, 263, 359, 284, 380)(257, 353, 285, 381, 265, 361, 286, 382)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 218)(11, 208)(12, 210)(13, 213)(14, 197)(15, 209)(16, 201)(17, 206)(18, 199)(19, 230)(20, 204)(21, 200)(22, 205)(23, 239)(24, 241)(25, 202)(26, 226)(27, 237)(28, 240)(29, 229)(30, 249)(31, 251)(32, 247)(33, 250)(34, 217)(35, 255)(36, 257)(37, 211)(38, 221)(39, 253)(40, 256)(41, 265)(42, 267)(43, 263)(44, 266)(45, 215)(46, 261)(47, 219)(48, 216)(49, 220)(50, 268)(51, 262)(52, 264)(53, 254)(54, 259)(55, 222)(56, 260)(57, 224)(58, 223)(59, 225)(60, 258)(61, 227)(62, 243)(63, 231)(64, 228)(65, 232)(66, 248)(67, 238)(68, 252)(69, 246)(70, 245)(71, 233)(72, 242)(73, 235)(74, 234)(75, 236)(76, 244)(77, 281)(78, 286)(79, 279)(80, 284)(81, 285)(82, 282)(83, 283)(84, 280)(85, 288)(86, 287)(87, 269)(88, 274)(89, 271)(90, 276)(91, 273)(92, 270)(93, 275)(94, 272)(95, 277)(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, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2496
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3, (Y2^-1 * Y1^-2)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3^-1, R * Y2^-2 * R * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y1^-1 * Y3 * Y2^2 * Y3^-1 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-2 * Y1 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2 * R * Y2^-2 * Y3 * Y2^-1 * R * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y2^-1, Y1^-1)^3, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 16, 112, 15, 111)(7, 103, 18, 114, 13, 109, 20, 116)(8, 104, 21, 117, 12, 108, 22, 118)(10, 106, 25, 121, 34, 130, 26, 122)(19, 115, 37, 133, 29, 125, 38, 134)(23, 119, 45, 141, 28, 124, 47, 143)(24, 120, 48, 144, 27, 123, 49, 145)(30, 126, 55, 151, 33, 129, 57, 153)(31, 127, 58, 154, 32, 128, 59, 155)(35, 131, 61, 157, 40, 136, 63, 159)(36, 132, 64, 160, 39, 135, 65, 161)(41, 137, 71, 167, 44, 140, 73, 169)(42, 138, 74, 170, 43, 139, 75, 171)(46, 142, 66, 162, 54, 150, 69, 165)(50, 146, 72, 168, 53, 149, 76, 172)(51, 147, 62, 158, 52, 148, 70, 166)(56, 152, 67, 163, 60, 156, 68, 164)(77, 173, 87, 183, 80, 176, 90, 186)(78, 174, 92, 188, 79, 175, 93, 189)(81, 177, 91, 187, 84, 180, 94, 190)(82, 178, 88, 184, 83, 179, 89, 185)(85, 181, 95, 191, 86, 182, 96, 192)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 221, 317, 205, 301)(198, 294, 208, 304, 226, 322, 209, 305)(201, 297, 215, 311, 238, 334, 216, 312)(203, 299, 219, 315, 246, 342, 220, 316)(206, 302, 222, 318, 248, 344, 223, 319)(207, 303, 224, 320, 252, 348, 225, 321)(210, 306, 227, 323, 254, 350, 228, 324)(212, 308, 231, 327, 262, 358, 232, 328)(213, 309, 233, 329, 264, 360, 234, 330)(214, 310, 235, 331, 268, 364, 236, 332)(217, 313, 242, 338, 277, 373, 243, 339)(218, 314, 244, 340, 278, 374, 245, 341)(229, 325, 258, 354, 287, 383, 259, 355)(230, 326, 260, 356, 288, 384, 261, 357)(237, 333, 269, 365, 250, 346, 270, 366)(239, 335, 271, 367, 251, 347, 272, 368)(240, 336, 273, 369, 247, 343, 274, 370)(241, 337, 275, 371, 249, 345, 276, 372)(253, 349, 279, 375, 266, 362, 280, 376)(255, 351, 281, 377, 267, 363, 282, 378)(256, 352, 283, 379, 263, 359, 284, 380)(257, 353, 285, 381, 265, 361, 286, 382)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 218)(11, 209)(12, 213)(13, 210)(14, 197)(15, 208)(16, 206)(17, 201)(18, 199)(19, 230)(20, 205)(21, 200)(22, 204)(23, 239)(24, 241)(25, 202)(26, 226)(27, 240)(28, 237)(29, 229)(30, 249)(31, 251)(32, 250)(33, 247)(34, 217)(35, 255)(36, 257)(37, 211)(38, 221)(39, 256)(40, 253)(41, 265)(42, 267)(43, 266)(44, 263)(45, 215)(46, 261)(47, 220)(48, 216)(49, 219)(50, 268)(51, 262)(52, 254)(53, 264)(54, 258)(55, 222)(56, 260)(57, 225)(58, 223)(59, 224)(60, 259)(61, 227)(62, 243)(63, 232)(64, 228)(65, 231)(66, 238)(67, 248)(68, 252)(69, 246)(70, 244)(71, 233)(72, 242)(73, 236)(74, 234)(75, 235)(76, 245)(77, 282)(78, 285)(79, 284)(80, 279)(81, 286)(82, 281)(83, 280)(84, 283)(85, 288)(86, 287)(87, 269)(88, 274)(89, 275)(90, 272)(91, 273)(92, 270)(93, 271)(94, 276)(95, 277)(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, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2497
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y1 * Y2^-2)^2, Y2^-2 * Y1 * Y2^3 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y1 * Y2)^4, (Y3^-1 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 50, 146, 21, 117)(8, 104, 22, 118, 57, 153, 23, 119)(10, 106, 28, 124, 61, 157, 24, 120)(12, 108, 32, 128, 72, 168, 34, 130)(13, 109, 35, 131, 67, 163, 36, 132)(16, 112, 33, 129, 74, 170, 42, 138)(17, 113, 44, 140, 78, 174, 46, 142)(18, 114, 47, 143, 84, 180, 48, 144)(20, 116, 53, 149, 87, 183, 49, 145)(26, 122, 51, 147, 41, 137, 60, 156)(27, 123, 59, 155, 83, 179, 65, 161)(29, 125, 54, 150, 81, 177, 66, 162)(30, 126, 69, 165, 82, 178, 55, 151)(31, 127, 58, 154, 79, 175, 70, 166)(37, 133, 45, 141, 80, 176, 63, 159)(39, 135, 52, 148, 86, 182, 75, 171)(40, 136, 56, 152, 85, 181, 73, 169)(43, 139, 62, 158, 88, 184, 76, 172)(64, 160, 92, 188, 77, 173, 89, 185)(68, 164, 94, 190, 95, 191, 90, 186)(71, 167, 93, 189, 96, 192, 91, 187)(193, 289, 195, 291, 202, 298, 221, 317, 244, 340, 211, 307, 243, 339, 228, 324, 262, 358, 235, 331, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 246, 342, 271, 367, 236, 332, 233, 329, 207, 303, 232, 328, 254, 350, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 258, 354, 219, 315, 201, 297, 218, 314, 240, 336, 278, 374, 268, 364, 229, 325, 205, 301)(198, 294, 209, 305, 237, 333, 273, 369, 265, 361, 224, 320, 252, 348, 215, 311, 251, 347, 280, 376, 241, 337, 210, 306)(203, 299, 222, 318, 206, 302, 231, 327, 260, 356, 220, 316, 259, 355, 281, 377, 242, 338, 234, 330, 263, 359, 223, 319)(213, 309, 247, 343, 214, 310, 250, 346, 282, 378, 245, 341, 230, 326, 269, 365, 270, 366, 253, 349, 283, 379, 248, 344)(217, 313, 255, 351, 285, 381, 267, 363, 226, 322, 261, 357, 227, 323, 257, 353, 286, 382, 266, 362, 276, 372, 256, 352)(238, 334, 274, 370, 239, 335, 277, 373, 287, 383, 272, 368, 249, 345, 284, 380, 264, 360, 279, 375, 288, 384, 275, 371)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 222)(12, 225)(13, 196)(14, 231)(15, 232)(16, 197)(17, 237)(18, 198)(19, 243)(20, 246)(21, 247)(22, 250)(23, 251)(24, 200)(25, 255)(26, 240)(27, 201)(28, 259)(29, 244)(30, 206)(31, 203)(32, 252)(33, 258)(34, 261)(35, 257)(36, 262)(37, 205)(38, 269)(39, 260)(40, 254)(41, 207)(42, 263)(43, 208)(44, 233)(45, 273)(46, 274)(47, 277)(48, 278)(49, 210)(50, 234)(51, 228)(52, 211)(53, 230)(54, 271)(55, 214)(56, 213)(57, 284)(58, 282)(59, 280)(60, 215)(61, 283)(62, 216)(63, 285)(64, 217)(65, 286)(66, 219)(67, 281)(68, 220)(69, 227)(70, 235)(71, 223)(72, 279)(73, 224)(74, 276)(75, 226)(76, 229)(77, 270)(78, 253)(79, 236)(80, 249)(81, 265)(82, 239)(83, 238)(84, 256)(85, 287)(86, 268)(87, 288)(88, 241)(89, 242)(90, 245)(91, 248)(92, 264)(93, 267)(94, 266)(95, 272)(96, 275)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2494
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y2^-1 * Y1^-1 * Y2^-1)^2, Y2 * Y1^-1 * Y2^-5 * Y1^-1, (Y1^-1 * Y2^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 50, 146, 21, 117)(8, 104, 22, 118, 57, 153, 23, 119)(10, 106, 28, 124, 67, 163, 30, 126)(12, 108, 33, 129, 73, 169, 35, 131)(13, 109, 36, 132, 76, 172, 37, 133)(16, 112, 42, 138, 54, 150, 20, 116)(17, 113, 44, 140, 78, 174, 46, 142)(18, 114, 47, 143, 84, 180, 48, 144)(24, 120, 61, 157, 82, 178, 45, 141)(26, 122, 64, 160, 79, 175, 51, 147)(27, 123, 58, 154, 83, 179, 65, 161)(29, 125, 53, 149, 81, 177, 70, 166)(31, 127, 55, 151, 40, 136, 59, 155)(32, 128, 60, 156, 80, 176, 72, 168)(34, 130, 49, 145, 87, 183, 75, 171)(39, 135, 56, 152, 86, 182, 74, 170)(41, 137, 52, 148, 85, 181, 69, 165)(43, 139, 62, 158, 88, 184, 68, 164)(63, 159, 92, 188, 77, 173, 89, 185)(66, 162, 94, 190, 95, 191, 90, 186)(71, 167, 93, 189, 96, 192, 91, 187)(193, 289, 195, 291, 202, 298, 221, 317, 261, 357, 227, 323, 251, 347, 214, 310, 250, 346, 235, 331, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 245, 341, 224, 320, 203, 299, 223, 319, 239, 335, 277, 373, 254, 350, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 262, 358, 275, 371, 238, 334, 232, 328, 206, 302, 231, 327, 260, 356, 220, 316, 205, 301)(198, 294, 209, 305, 237, 333, 273, 369, 248, 344, 213, 309, 247, 343, 228, 324, 264, 360, 280, 376, 241, 337, 210, 306)(201, 297, 218, 314, 207, 303, 233, 329, 263, 359, 222, 318, 249, 345, 284, 380, 265, 361, 234, 330, 258, 354, 219, 315)(211, 307, 243, 339, 215, 311, 252, 348, 283, 379, 246, 342, 276, 372, 255, 351, 217, 313, 253, 349, 282, 378, 244, 340)(225, 321, 256, 352, 229, 325, 257, 353, 285, 381, 267, 363, 230, 326, 269, 365, 270, 366, 259, 355, 286, 382, 266, 362)(236, 332, 271, 367, 240, 336, 278, 374, 288, 384, 274, 370, 268, 364, 281, 377, 242, 338, 279, 375, 287, 383, 272, 368)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 231)(15, 233)(16, 197)(17, 237)(18, 198)(19, 243)(20, 245)(21, 247)(22, 250)(23, 252)(24, 200)(25, 253)(26, 207)(27, 201)(28, 205)(29, 261)(30, 249)(31, 239)(32, 203)(33, 256)(34, 262)(35, 251)(36, 264)(37, 257)(38, 269)(39, 260)(40, 206)(41, 263)(42, 258)(43, 208)(44, 271)(45, 273)(46, 232)(47, 277)(48, 278)(49, 210)(50, 279)(51, 215)(52, 211)(53, 224)(54, 276)(55, 228)(56, 213)(57, 284)(58, 235)(59, 214)(60, 283)(61, 282)(62, 216)(63, 217)(64, 229)(65, 285)(66, 219)(67, 286)(68, 220)(69, 227)(70, 275)(71, 222)(72, 280)(73, 234)(74, 225)(75, 230)(76, 281)(77, 270)(78, 259)(79, 240)(80, 236)(81, 248)(82, 268)(83, 238)(84, 255)(85, 254)(86, 288)(87, 287)(88, 241)(89, 242)(90, 244)(91, 246)(92, 265)(93, 267)(94, 266)(95, 272)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E21.2495
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, (Y2^-1 * Y1^-1 * Y2^-2)^2, Y2^2 * Y1^-1 * Y2^-3 * Y1 * Y2, Y1^-1 * Y2^6 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, Y2^3 * Y1 * Y2^-3 * Y1^-1, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 41, 137, 29, 125)(16, 112, 38, 134, 42, 138, 39, 135)(20, 116, 45, 141, 32, 128, 47, 143)(24, 120, 54, 150, 33, 129, 55, 151)(25, 121, 51, 147, 30, 126, 53, 149)(26, 122, 58, 154, 31, 127, 59, 155)(28, 124, 46, 142, 40, 136, 56, 152)(34, 130, 67, 163, 36, 132, 68, 164)(35, 131, 43, 139, 37, 133, 48, 144)(44, 140, 70, 166, 49, 145, 71, 167)(50, 146, 79, 175, 52, 148, 80, 176)(57, 153, 81, 177, 65, 161, 82, 178)(60, 156, 76, 172, 66, 162, 74, 170)(61, 157, 84, 180, 63, 159, 86, 182)(62, 158, 78, 174, 64, 160, 72, 168)(69, 165, 87, 183, 77, 173, 88, 184)(73, 169, 90, 186, 75, 171, 92, 188)(83, 179, 89, 185, 85, 181, 91, 187)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 234, 330, 210, 306, 198, 294, 209, 305, 233, 329, 232, 328, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 238, 334, 225, 321, 205, 301, 196, 292, 204, 300, 224, 320, 248, 344, 216, 312, 200, 296)(201, 297, 217, 313, 249, 345, 231, 327, 258, 354, 223, 319, 203, 299, 222, 318, 257, 353, 230, 326, 252, 348, 218, 314)(206, 302, 226, 322, 254, 350, 219, 315, 253, 349, 229, 325, 207, 303, 228, 324, 256, 352, 221, 317, 255, 351, 227, 323)(211, 307, 235, 331, 261, 357, 247, 343, 270, 366, 241, 337, 213, 309, 240, 336, 269, 365, 246, 342, 264, 360, 236, 332)(214, 310, 242, 338, 266, 362, 237, 333, 265, 361, 245, 341, 215, 311, 244, 340, 268, 364, 239, 335, 267, 363, 243, 339)(250, 346, 275, 371, 260, 356, 273, 369, 285, 381, 278, 374, 251, 347, 277, 373, 259, 355, 274, 370, 286, 382, 276, 372)(262, 358, 281, 377, 272, 368, 279, 375, 287, 383, 284, 380, 263, 359, 283, 379, 271, 367, 280, 376, 288, 384, 282, 378)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 233)(18, 198)(19, 235)(20, 238)(21, 240)(22, 242)(23, 244)(24, 200)(25, 249)(26, 201)(27, 253)(28, 234)(29, 255)(30, 257)(31, 203)(32, 248)(33, 205)(34, 254)(35, 206)(36, 256)(37, 207)(38, 252)(39, 258)(40, 208)(41, 232)(42, 210)(43, 261)(44, 211)(45, 265)(46, 225)(47, 267)(48, 269)(49, 213)(50, 266)(51, 214)(52, 268)(53, 215)(54, 264)(55, 270)(56, 216)(57, 231)(58, 275)(59, 277)(60, 218)(61, 229)(62, 219)(63, 227)(64, 221)(65, 230)(66, 223)(67, 274)(68, 273)(69, 247)(70, 281)(71, 283)(72, 236)(73, 245)(74, 237)(75, 243)(76, 239)(77, 246)(78, 241)(79, 280)(80, 279)(81, 285)(82, 286)(83, 260)(84, 250)(85, 259)(86, 251)(87, 287)(88, 288)(89, 272)(90, 262)(91, 271)(92, 263)(93, 278)(94, 276)(95, 284)(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, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E21.2493
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^4 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-2 * Y1 * Y2^3 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y1^-1)^4, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 19, 115, 8, 104)(5, 101, 11, 107, 25, 121, 13, 109)(7, 103, 17, 113, 35, 131, 16, 112)(10, 106, 23, 119, 47, 143, 22, 118)(12, 108, 15, 111, 33, 129, 27, 123)(14, 110, 29, 125, 57, 153, 31, 127)(18, 114, 39, 135, 69, 165, 38, 134)(20, 116, 41, 137, 72, 168, 43, 139)(21, 117, 45, 141, 60, 156, 42, 138)(24, 120, 40, 136, 63, 159, 50, 146)(26, 122, 53, 149, 80, 176, 52, 148)(28, 124, 54, 150, 83, 179, 55, 151)(30, 126, 51, 147, 65, 161, 37, 133)(32, 128, 44, 140, 67, 163, 56, 152)(34, 130, 62, 158, 87, 183, 61, 157)(36, 132, 64, 160, 90, 186, 66, 162)(46, 142, 71, 167, 92, 188, 75, 171)(48, 144, 76, 172, 88, 184, 78, 174)(49, 145, 74, 170, 91, 187, 77, 173)(58, 154, 68, 164, 89, 185, 84, 180)(59, 155, 73, 169, 86, 182, 82, 178)(70, 166, 93, 189, 81, 177, 94, 190)(79, 175, 95, 191, 85, 181, 96, 192)(193, 289, 195, 291, 202, 298, 216, 312, 231, 327, 263, 359, 287, 383, 276, 372, 247, 343, 224, 320, 206, 302, 197, 293)(194, 290, 199, 295, 210, 306, 232, 328, 254, 350, 281, 377, 277, 373, 251, 347, 223, 319, 236, 332, 212, 308, 200, 296)(196, 292, 203, 299, 218, 314, 242, 338, 215, 311, 241, 337, 271, 367, 284, 380, 258, 354, 248, 344, 220, 316, 204, 300)(198, 294, 207, 303, 226, 322, 255, 351, 245, 341, 274, 370, 288, 384, 266, 362, 235, 331, 259, 355, 228, 324, 208, 304)(201, 297, 213, 309, 238, 334, 261, 357, 285, 381, 275, 371, 250, 346, 222, 318, 205, 301, 221, 317, 240, 336, 214, 310)(209, 305, 229, 325, 260, 356, 279, 375, 270, 366, 249, 345, 265, 361, 234, 330, 211, 307, 233, 329, 262, 358, 230, 326)(217, 313, 243, 339, 269, 365, 239, 335, 268, 364, 282, 378, 267, 363, 237, 333, 219, 315, 246, 342, 273, 369, 244, 340)(225, 321, 252, 348, 278, 374, 272, 368, 286, 382, 264, 360, 283, 379, 257, 353, 227, 323, 256, 352, 280, 376, 253, 349)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 210)(8, 194)(9, 213)(10, 216)(11, 218)(12, 196)(13, 221)(14, 197)(15, 226)(16, 198)(17, 229)(18, 232)(19, 233)(20, 200)(21, 238)(22, 201)(23, 241)(24, 231)(25, 243)(26, 242)(27, 246)(28, 204)(29, 240)(30, 205)(31, 236)(32, 206)(33, 252)(34, 255)(35, 256)(36, 208)(37, 260)(38, 209)(39, 263)(40, 254)(41, 262)(42, 211)(43, 259)(44, 212)(45, 219)(46, 261)(47, 268)(48, 214)(49, 271)(50, 215)(51, 269)(52, 217)(53, 274)(54, 273)(55, 224)(56, 220)(57, 265)(58, 222)(59, 223)(60, 278)(61, 225)(62, 281)(63, 245)(64, 280)(65, 227)(66, 248)(67, 228)(68, 279)(69, 285)(70, 230)(71, 287)(72, 283)(73, 234)(74, 235)(75, 237)(76, 282)(77, 239)(78, 249)(79, 284)(80, 286)(81, 244)(82, 288)(83, 250)(84, 247)(85, 251)(86, 272)(87, 270)(88, 253)(89, 277)(90, 267)(91, 257)(92, 258)(93, 275)(94, 264)(95, 276)(96, 266)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2492
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^3 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y2^-1)^4, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 217, 313, 203, 299)(197, 293, 206, 302, 230, 326, 207, 303)(199, 295, 211, 307, 242, 338, 213, 309)(200, 296, 214, 310, 249, 345, 215, 311)(202, 298, 220, 316, 253, 349, 216, 312)(204, 300, 224, 320, 264, 360, 226, 322)(205, 301, 227, 323, 259, 355, 228, 324)(208, 304, 225, 321, 266, 362, 234, 330)(209, 305, 236, 332, 270, 366, 238, 334)(210, 306, 239, 335, 276, 372, 240, 336)(212, 308, 245, 341, 279, 375, 241, 337)(218, 314, 243, 339, 233, 329, 252, 348)(219, 315, 251, 347, 275, 371, 257, 353)(221, 317, 246, 342, 273, 369, 258, 354)(222, 318, 261, 357, 274, 370, 247, 343)(223, 319, 250, 346, 271, 367, 262, 358)(229, 325, 237, 333, 272, 368, 255, 351)(231, 327, 244, 340, 278, 374, 267, 363)(232, 328, 248, 344, 277, 373, 265, 361)(235, 331, 254, 350, 280, 376, 268, 364)(256, 352, 284, 380, 269, 365, 281, 377)(260, 356, 286, 382, 287, 383, 282, 378)(263, 359, 285, 381, 288, 384, 283, 379)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 222)(12, 225)(13, 196)(14, 231)(15, 232)(16, 197)(17, 237)(18, 198)(19, 243)(20, 246)(21, 247)(22, 250)(23, 251)(24, 200)(25, 255)(26, 240)(27, 201)(28, 259)(29, 244)(30, 206)(31, 203)(32, 252)(33, 258)(34, 261)(35, 257)(36, 262)(37, 205)(38, 269)(39, 260)(40, 254)(41, 207)(42, 263)(43, 208)(44, 233)(45, 273)(46, 274)(47, 277)(48, 278)(49, 210)(50, 234)(51, 228)(52, 211)(53, 230)(54, 271)(55, 214)(56, 213)(57, 284)(58, 282)(59, 280)(60, 215)(61, 283)(62, 216)(63, 285)(64, 217)(65, 286)(66, 219)(67, 281)(68, 220)(69, 227)(70, 235)(71, 223)(72, 279)(73, 224)(74, 276)(75, 226)(76, 229)(77, 270)(78, 253)(79, 236)(80, 249)(81, 265)(82, 239)(83, 238)(84, 256)(85, 287)(86, 268)(87, 288)(88, 241)(89, 242)(90, 245)(91, 248)(92, 264)(93, 267)(94, 266)(95, 272)(96, 275)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2491
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-2)^2, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-5 * Y2^-1 * Y3, (Y3^-1 * Y2^-1)^4, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 217, 313, 203, 299)(197, 293, 206, 302, 230, 326, 207, 303)(199, 295, 211, 307, 242, 338, 213, 309)(200, 296, 214, 310, 249, 345, 215, 311)(202, 298, 220, 316, 259, 355, 222, 318)(204, 300, 225, 321, 265, 361, 227, 323)(205, 301, 228, 324, 268, 364, 229, 325)(208, 304, 234, 330, 246, 342, 212, 308)(209, 305, 236, 332, 270, 366, 238, 334)(210, 306, 239, 335, 276, 372, 240, 336)(216, 312, 253, 349, 274, 370, 237, 333)(218, 314, 256, 352, 271, 367, 243, 339)(219, 315, 250, 346, 275, 371, 257, 353)(221, 317, 245, 341, 273, 369, 262, 358)(223, 319, 247, 343, 232, 328, 251, 347)(224, 320, 252, 348, 272, 368, 264, 360)(226, 322, 241, 337, 279, 375, 267, 363)(231, 327, 248, 344, 278, 374, 266, 362)(233, 329, 244, 340, 277, 373, 261, 357)(235, 331, 254, 350, 280, 376, 260, 356)(255, 351, 284, 380, 269, 365, 281, 377)(258, 354, 286, 382, 287, 383, 282, 378)(263, 359, 285, 381, 288, 384, 283, 379)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 231)(15, 233)(16, 197)(17, 237)(18, 198)(19, 243)(20, 245)(21, 247)(22, 250)(23, 252)(24, 200)(25, 253)(26, 207)(27, 201)(28, 205)(29, 261)(30, 249)(31, 239)(32, 203)(33, 256)(34, 262)(35, 251)(36, 264)(37, 257)(38, 269)(39, 260)(40, 206)(41, 263)(42, 258)(43, 208)(44, 271)(45, 273)(46, 232)(47, 277)(48, 278)(49, 210)(50, 279)(51, 215)(52, 211)(53, 224)(54, 276)(55, 228)(56, 213)(57, 284)(58, 235)(59, 214)(60, 283)(61, 282)(62, 216)(63, 217)(64, 229)(65, 285)(66, 219)(67, 286)(68, 220)(69, 227)(70, 275)(71, 222)(72, 280)(73, 234)(74, 225)(75, 230)(76, 281)(77, 270)(78, 259)(79, 240)(80, 236)(81, 248)(82, 268)(83, 238)(84, 255)(85, 254)(86, 288)(87, 287)(88, 241)(89, 242)(90, 244)(91, 246)(92, 265)(93, 267)(94, 266)(95, 272)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2490
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (Y3^-3 * Y2^-1)^2, (Y3^2 * Y2^-1 * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^3 * Y2 * Y3^-3 * Y2^-1, Y2^-1 * Y3^6 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 209, 305, 203, 299)(197, 293, 206, 302, 210, 306, 207, 303)(199, 295, 211, 307, 204, 300, 213, 309)(200, 296, 214, 310, 205, 301, 215, 311)(202, 298, 219, 315, 233, 329, 221, 317)(208, 304, 230, 326, 234, 330, 231, 327)(212, 308, 237, 333, 224, 320, 239, 335)(216, 312, 246, 342, 225, 321, 247, 343)(217, 313, 243, 339, 222, 318, 245, 341)(218, 314, 250, 346, 223, 319, 251, 347)(220, 316, 238, 334, 232, 328, 248, 344)(226, 322, 259, 355, 228, 324, 260, 356)(227, 323, 235, 331, 229, 325, 240, 336)(236, 332, 262, 358, 241, 337, 263, 359)(242, 338, 271, 367, 244, 340, 272, 368)(249, 345, 273, 369, 257, 353, 274, 370)(252, 348, 268, 364, 258, 354, 266, 362)(253, 349, 276, 372, 255, 351, 278, 374)(254, 350, 270, 366, 256, 352, 264, 360)(261, 357, 279, 375, 269, 365, 280, 376)(265, 361, 282, 378, 267, 363, 284, 380)(275, 371, 281, 377, 277, 373, 283, 379)(285, 381, 287, 383, 286, 382, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 233)(18, 198)(19, 235)(20, 238)(21, 240)(22, 242)(23, 244)(24, 200)(25, 249)(26, 201)(27, 253)(28, 234)(29, 255)(30, 257)(31, 203)(32, 248)(33, 205)(34, 254)(35, 206)(36, 256)(37, 207)(38, 252)(39, 258)(40, 208)(41, 232)(42, 210)(43, 261)(44, 211)(45, 265)(46, 225)(47, 267)(48, 269)(49, 213)(50, 266)(51, 214)(52, 268)(53, 215)(54, 264)(55, 270)(56, 216)(57, 231)(58, 275)(59, 277)(60, 218)(61, 229)(62, 219)(63, 227)(64, 221)(65, 230)(66, 223)(67, 274)(68, 273)(69, 247)(70, 281)(71, 283)(72, 236)(73, 245)(74, 237)(75, 243)(76, 239)(77, 246)(78, 241)(79, 280)(80, 279)(81, 285)(82, 286)(83, 260)(84, 250)(85, 259)(86, 251)(87, 287)(88, 288)(89, 272)(90, 262)(91, 271)(92, 263)(93, 278)(94, 276)(95, 284)(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) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2488
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2^-2, Y3 * Y2^-1 * Y3^-3 * Y2 * Y3^2, Y3 * Y2^-1 * Y3^-4 * Y2^-1 * Y3, (Y3^-1 * Y2)^4, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 213, 309, 203, 299)(197, 293, 205, 301, 210, 306, 199, 295)(200, 296, 211, 307, 226, 322, 207, 303)(202, 298, 215, 311, 241, 337, 217, 313)(204, 300, 208, 304, 227, 323, 220, 316)(206, 302, 223, 319, 249, 345, 221, 317)(209, 305, 229, 325, 260, 356, 231, 327)(212, 308, 235, 331, 264, 360, 233, 329)(214, 310, 239, 335, 268, 364, 237, 333)(216, 312, 230, 326, 253, 349, 244, 340)(218, 314, 238, 334, 255, 351, 234, 330)(219, 315, 247, 343, 274, 370, 243, 339)(222, 318, 248, 344, 257, 353, 232, 328)(224, 320, 236, 332, 259, 355, 240, 336)(225, 321, 252, 348, 278, 374, 254, 350)(228, 324, 258, 354, 282, 378, 256, 352)(242, 338, 272, 368, 279, 375, 271, 367)(245, 341, 263, 359, 283, 379, 270, 366)(246, 342, 265, 361, 284, 380, 273, 369)(250, 346, 266, 362, 280, 376, 276, 372)(251, 347, 262, 358, 281, 377, 269, 365)(261, 357, 286, 382, 267, 363, 285, 381)(275, 371, 287, 383, 277, 373, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 218)(12, 219)(13, 221)(14, 197)(15, 225)(16, 198)(17, 230)(18, 232)(19, 233)(20, 200)(21, 237)(22, 201)(23, 203)(24, 243)(25, 245)(26, 246)(27, 244)(28, 248)(29, 242)(30, 205)(31, 240)(32, 206)(33, 253)(34, 255)(35, 256)(36, 208)(37, 210)(38, 217)(39, 262)(40, 263)(41, 261)(42, 211)(43, 224)(44, 212)(45, 267)(46, 213)(47, 259)(48, 214)(49, 271)(50, 215)(51, 273)(52, 254)(53, 275)(54, 274)(55, 220)(56, 276)(57, 269)(58, 222)(59, 223)(60, 226)(61, 231)(62, 280)(63, 281)(64, 279)(65, 227)(66, 236)(67, 228)(68, 285)(69, 229)(70, 287)(71, 241)(72, 250)(73, 234)(74, 235)(75, 247)(76, 283)(77, 238)(78, 239)(79, 282)(80, 249)(81, 288)(82, 286)(83, 284)(84, 278)(85, 251)(86, 272)(87, 252)(88, 277)(89, 260)(90, 265)(91, 257)(92, 258)(93, 268)(94, 264)(95, 270)(96, 266)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2489
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1^-3 * Y3^-1 * Y1^3, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4, Y3^-2 * Y1^-1 * Y3^2 * Y1^2 * Y3^2 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 17, 113, 44, 140, 26, 122, 52, 148, 43, 139, 62, 158, 35, 131, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 45, 141, 79, 175, 68, 164, 38, 134, 14, 110, 37, 133, 50, 146, 19, 115, 11, 107)(5, 101, 15, 111, 34, 130, 46, 142, 22, 118, 7, 103, 20, 116, 51, 147, 78, 174, 75, 171, 42, 138, 16, 112)(8, 104, 23, 119, 12, 108, 32, 128, 49, 145, 18, 114, 47, 143, 81, 177, 65, 161, 36, 132, 61, 157, 24, 120)(10, 106, 28, 124, 67, 163, 80, 176, 76, 172, 39, 135, 53, 149, 31, 127, 56, 152, 86, 182, 64, 160, 29, 125)(21, 117, 54, 150, 88, 184, 72, 168, 40, 136, 58, 154, 41, 137, 57, 153, 84, 180, 74, 170, 87, 183, 55, 151)(27, 123, 59, 155, 30, 126, 60, 156, 85, 181, 63, 159, 33, 129, 73, 169, 83, 179, 48, 144, 82, 178, 66, 162)(69, 165, 92, 188, 70, 166, 94, 190, 96, 192, 89, 185, 71, 167, 90, 186, 77, 173, 93, 189, 95, 191, 91, 187)(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, 222)(12, 225)(13, 226)(14, 196)(15, 231)(16, 233)(17, 237)(18, 240)(19, 198)(20, 244)(21, 200)(22, 248)(23, 250)(24, 252)(25, 255)(26, 257)(27, 201)(28, 260)(29, 262)(30, 263)(31, 203)(32, 236)(33, 206)(34, 266)(35, 242)(36, 205)(37, 258)(38, 245)(39, 269)(40, 207)(41, 239)(42, 259)(43, 208)(44, 270)(45, 272)(46, 209)(47, 235)(48, 211)(49, 276)(50, 278)(51, 221)(52, 230)(53, 212)(54, 234)(55, 282)(56, 283)(57, 214)(58, 284)(59, 215)(60, 271)(61, 280)(62, 216)(63, 285)(64, 217)(65, 219)(66, 286)(67, 281)(68, 275)(69, 220)(70, 279)(71, 223)(72, 224)(73, 273)(74, 228)(75, 227)(76, 229)(77, 232)(78, 264)(79, 254)(80, 238)(81, 247)(82, 253)(83, 261)(84, 288)(85, 241)(86, 267)(87, 243)(88, 287)(89, 246)(90, 265)(91, 249)(92, 251)(93, 256)(94, 268)(95, 274)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2486
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = C4 x S4 (small group id <96, 186>)
Aut   = $<192, 1472>$ (small group id <192, 1472>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^3 * Y3 * Y1^-1, (Y3 * Y1)^4, (Y3 * Y2^-1)^4, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^2 * Y1 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 44, 140, 41, 137, 60, 156, 30, 126, 55, 151, 37, 133, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 45, 141, 24, 120, 8, 104, 23, 119, 58, 154, 78, 174, 72, 168, 31, 127, 11, 107)(5, 101, 15, 111, 39, 135, 46, 142, 80, 176, 69, 165, 35, 131, 12, 108, 33, 129, 48, 144, 18, 114, 16, 112)(7, 103, 20, 116, 14, 110, 38, 134, 50, 146, 19, 115, 49, 145, 84, 180, 76, 172, 36, 132, 56, 152, 22, 118)(10, 106, 28, 124, 67, 163, 79, 175, 66, 162, 27, 123, 59, 155, 42, 138, 62, 158, 83, 179, 70, 166, 29, 125)(21, 117, 53, 149, 88, 184, 65, 161, 26, 122, 52, 148, 32, 128, 61, 157, 86, 182, 63, 159, 90, 186, 54, 150)(34, 130, 74, 170, 82, 178, 47, 143, 81, 177, 73, 169, 40, 136, 51, 147, 43, 139, 57, 153, 85, 181, 75, 171)(64, 160, 93, 189, 95, 191, 92, 188, 68, 164, 87, 183, 71, 167, 94, 190, 96, 192, 89, 185, 77, 173, 91, 187)(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, 222)(12, 226)(13, 228)(14, 196)(15, 232)(16, 234)(17, 237)(18, 239)(19, 198)(20, 243)(21, 200)(22, 247)(23, 251)(24, 253)(25, 205)(26, 256)(27, 201)(28, 260)(29, 250)(30, 241)(31, 245)(32, 203)(33, 258)(34, 206)(35, 252)(36, 255)(37, 264)(38, 257)(39, 262)(40, 268)(41, 207)(42, 269)(43, 208)(44, 230)(45, 271)(46, 209)(47, 211)(48, 229)(49, 224)(50, 277)(51, 279)(52, 212)(53, 281)(54, 276)(55, 272)(56, 273)(57, 214)(58, 282)(59, 227)(60, 215)(61, 284)(62, 216)(63, 217)(64, 219)(65, 270)(66, 286)(67, 223)(68, 274)(69, 220)(70, 285)(71, 221)(72, 275)(73, 225)(74, 283)(75, 231)(76, 233)(77, 235)(78, 236)(79, 238)(80, 249)(81, 287)(82, 261)(83, 240)(84, 266)(85, 288)(86, 242)(87, 244)(88, 248)(89, 259)(90, 263)(91, 246)(92, 254)(93, 267)(94, 265)(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) :: { ( 8, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2487
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2498 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 12})
Quotient :: edge
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1 * T1)^2, (F * T1)^2, T1^4, (T2^-2 * T1^-1)^2, (T2^-2 * T1^-1)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 43, 60, 76, 64, 47, 29, 14, 5)(2, 7, 18, 36, 54, 70, 85, 72, 56, 38, 20, 8)(4, 11, 26, 45, 62, 78, 89, 75, 59, 42, 23, 12)(6, 15, 31, 50, 66, 81, 92, 83, 68, 52, 33, 16)(9, 21, 13, 28, 46, 63, 79, 88, 74, 58, 41, 22)(17, 34, 19, 37, 55, 71, 86, 94, 84, 69, 53, 35)(25, 39, 27, 40, 57, 73, 87, 95, 90, 77, 61, 44)(30, 48, 32, 51, 67, 82, 93, 96, 91, 80, 65, 49)(97, 98, 102, 100)(99, 105, 115, 104)(101, 107, 121, 109)(103, 113, 128, 112)(106, 119, 136, 118)(108, 111, 126, 123)(110, 124, 131, 114)(116, 133, 145, 127)(117, 135, 144, 130)(120, 134, 146, 138)(122, 129, 147, 140)(125, 132, 148, 141)(137, 153, 161, 151)(139, 154, 167, 152)(142, 157, 163, 149)(143, 158, 173, 159)(150, 165, 178, 164)(155, 162, 176, 169)(156, 171, 183, 170)(160, 175, 180, 166)(168, 182, 187, 177)(172, 181, 188, 185)(174, 179, 189, 186)(184, 191, 192, 190)
	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) :: { ( 8^4 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2499
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 4^24, 12^8 ]

E21.2499 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 12})
Quotient :: loop
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1^-2)^2, (T2^-1 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 25, 121, 13, 109)(6, 102, 16, 112, 28, 124, 17, 113)(9, 105, 23, 119, 15, 111, 24, 120)(11, 107, 26, 122, 14, 110, 27, 123)(18, 114, 29, 125, 22, 118, 30, 126)(20, 116, 31, 127, 21, 117, 32, 128)(33, 129, 41, 137, 36, 132, 42, 138)(34, 130, 43, 139, 35, 131, 44, 140)(37, 133, 45, 141, 40, 136, 46, 142)(38, 134, 47, 143, 39, 135, 48, 144)(49, 145, 57, 153, 52, 148, 58, 154)(50, 146, 59, 155, 51, 147, 60, 156)(53, 149, 61, 157, 56, 152, 62, 158)(54, 150, 63, 159, 55, 151, 64, 160)(65, 161, 73, 169, 68, 164, 74, 170)(66, 162, 75, 171, 67, 163, 76, 172)(69, 165, 77, 173, 72, 168, 78, 174)(70, 166, 79, 175, 71, 167, 80, 176)(81, 177, 89, 185, 84, 180, 90, 186)(82, 178, 91, 187, 83, 179, 92, 188)(85, 181, 93, 189, 88, 184, 94, 190)(86, 182, 95, 191, 87, 183, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 113)(10, 121)(11, 99)(12, 118)(13, 116)(14, 112)(15, 101)(16, 111)(17, 107)(18, 109)(19, 106)(20, 103)(21, 108)(22, 104)(23, 129)(24, 131)(25, 124)(26, 132)(27, 130)(28, 115)(29, 133)(30, 135)(31, 136)(32, 134)(33, 123)(34, 119)(35, 122)(36, 120)(37, 128)(38, 125)(39, 127)(40, 126)(41, 145)(42, 147)(43, 148)(44, 146)(45, 149)(46, 151)(47, 152)(48, 150)(49, 140)(50, 137)(51, 139)(52, 138)(53, 144)(54, 141)(55, 143)(56, 142)(57, 161)(58, 163)(59, 164)(60, 162)(61, 165)(62, 167)(63, 168)(64, 166)(65, 156)(66, 153)(67, 155)(68, 154)(69, 160)(70, 157)(71, 159)(72, 158)(73, 177)(74, 179)(75, 180)(76, 178)(77, 181)(78, 183)(79, 184)(80, 182)(81, 172)(82, 169)(83, 171)(84, 170)(85, 176)(86, 173)(87, 175)(88, 174)(89, 189)(90, 191)(91, 190)(92, 192)(93, 188)(94, 186)(95, 187)(96, 185)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2498
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y1^4, (Y2^-2 * Y1^-1)^2, (Y2^-2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 19, 115, 8, 104)(5, 101, 11, 107, 25, 121, 13, 109)(7, 103, 17, 113, 32, 128, 16, 112)(10, 106, 23, 119, 40, 136, 22, 118)(12, 108, 15, 111, 30, 126, 27, 123)(14, 110, 28, 124, 35, 131, 18, 114)(20, 116, 37, 133, 49, 145, 31, 127)(21, 117, 39, 135, 48, 144, 34, 130)(24, 120, 38, 134, 50, 146, 42, 138)(26, 122, 33, 129, 51, 147, 44, 140)(29, 125, 36, 132, 52, 148, 45, 141)(41, 137, 57, 153, 65, 161, 55, 151)(43, 139, 58, 154, 71, 167, 56, 152)(46, 142, 61, 157, 67, 163, 53, 149)(47, 143, 62, 158, 77, 173, 63, 159)(54, 150, 69, 165, 82, 178, 68, 164)(59, 155, 66, 162, 80, 176, 73, 169)(60, 156, 75, 171, 87, 183, 74, 170)(64, 160, 79, 175, 84, 180, 70, 166)(72, 168, 86, 182, 91, 187, 81, 177)(76, 172, 85, 181, 92, 188, 89, 185)(78, 174, 83, 179, 93, 189, 90, 186)(88, 184, 95, 191, 96, 192, 94, 190)(193, 289, 195, 291, 202, 298, 216, 312, 235, 331, 252, 348, 268, 364, 256, 352, 239, 335, 221, 317, 206, 302, 197, 293)(194, 290, 199, 295, 210, 306, 228, 324, 246, 342, 262, 358, 277, 373, 264, 360, 248, 344, 230, 326, 212, 308, 200, 296)(196, 292, 203, 299, 218, 314, 237, 333, 254, 350, 270, 366, 281, 377, 267, 363, 251, 347, 234, 330, 215, 311, 204, 300)(198, 294, 207, 303, 223, 319, 242, 338, 258, 354, 273, 369, 284, 380, 275, 371, 260, 356, 244, 340, 225, 321, 208, 304)(201, 297, 213, 309, 205, 301, 220, 316, 238, 334, 255, 351, 271, 367, 280, 376, 266, 362, 250, 346, 233, 329, 214, 310)(209, 305, 226, 322, 211, 307, 229, 325, 247, 343, 263, 359, 278, 374, 286, 382, 276, 372, 261, 357, 245, 341, 227, 323)(217, 313, 231, 327, 219, 315, 232, 328, 249, 345, 265, 361, 279, 375, 287, 383, 282, 378, 269, 365, 253, 349, 236, 332)(222, 318, 240, 336, 224, 320, 243, 339, 259, 355, 274, 370, 285, 381, 288, 384, 283, 379, 272, 368, 257, 353, 241, 337)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 210)(8, 194)(9, 213)(10, 216)(11, 218)(12, 196)(13, 220)(14, 197)(15, 223)(16, 198)(17, 226)(18, 228)(19, 229)(20, 200)(21, 205)(22, 201)(23, 204)(24, 235)(25, 231)(26, 237)(27, 232)(28, 238)(29, 206)(30, 240)(31, 242)(32, 243)(33, 208)(34, 211)(35, 209)(36, 246)(37, 247)(38, 212)(39, 219)(40, 249)(41, 214)(42, 215)(43, 252)(44, 217)(45, 254)(46, 255)(47, 221)(48, 224)(49, 222)(50, 258)(51, 259)(52, 225)(53, 227)(54, 262)(55, 263)(56, 230)(57, 265)(58, 233)(59, 234)(60, 268)(61, 236)(62, 270)(63, 271)(64, 239)(65, 241)(66, 273)(67, 274)(68, 244)(69, 245)(70, 277)(71, 278)(72, 248)(73, 279)(74, 250)(75, 251)(76, 256)(77, 253)(78, 281)(79, 280)(80, 257)(81, 284)(82, 285)(83, 260)(84, 261)(85, 264)(86, 286)(87, 287)(88, 266)(89, 267)(90, 269)(91, 272)(92, 275)(93, 288)(94, 276)(95, 282)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 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 E21.2501
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 8^24, 24^8 ]

E21.2501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x S4) : C2 (small group id <96, 187>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2^-1)^2, Y3^3 * Y2 * Y3^-9 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	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, 213, 309, 203, 299)(197, 293, 205, 301, 210, 306, 199, 295)(200, 296, 211, 307, 223, 319, 207, 303)(202, 298, 215, 311, 229, 325, 212, 308)(204, 300, 208, 304, 224, 320, 219, 315)(206, 302, 218, 314, 236, 332, 220, 316)(209, 305, 226, 322, 243, 339, 225, 321)(214, 310, 222, 318, 240, 336, 231, 327)(216, 312, 230, 326, 241, 337, 233, 329)(217, 313, 232, 328, 242, 338, 228, 324)(221, 317, 227, 323, 244, 340, 237, 333)(234, 330, 249, 345, 257, 353, 247, 343)(235, 331, 250, 346, 265, 361, 251, 347)(238, 334, 253, 349, 259, 355, 245, 341)(239, 335, 255, 351, 261, 357, 246, 342)(248, 344, 263, 359, 272, 368, 258, 354)(252, 348, 267, 363, 278, 374, 264, 360)(254, 350, 260, 356, 274, 370, 269, 365)(256, 352, 270, 366, 282, 378, 271, 367)(262, 358, 276, 372, 285, 381, 275, 371)(266, 362, 273, 369, 283, 379, 279, 375)(268, 364, 277, 373, 284, 380, 280, 376)(281, 377, 287, 383, 288, 384, 286, 382)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 216)(11, 217)(12, 218)(13, 220)(14, 197)(15, 222)(16, 198)(17, 227)(18, 228)(19, 229)(20, 200)(21, 231)(22, 201)(23, 203)(24, 235)(25, 205)(26, 237)(27, 232)(28, 238)(29, 206)(30, 241)(31, 242)(32, 243)(33, 208)(34, 210)(35, 246)(36, 211)(37, 247)(38, 212)(39, 249)(40, 213)(41, 214)(42, 215)(43, 252)(44, 219)(45, 254)(46, 255)(47, 221)(48, 223)(49, 258)(50, 224)(51, 259)(52, 225)(53, 226)(54, 262)(55, 263)(56, 230)(57, 265)(58, 233)(59, 234)(60, 268)(61, 236)(62, 270)(63, 271)(64, 239)(65, 240)(66, 273)(67, 274)(68, 244)(69, 245)(70, 277)(71, 278)(72, 248)(73, 279)(74, 250)(75, 251)(76, 256)(77, 253)(78, 280)(79, 281)(80, 257)(81, 284)(82, 285)(83, 260)(84, 261)(85, 264)(86, 286)(87, 287)(88, 266)(89, 267)(90, 269)(91, 272)(92, 275)(93, 288)(94, 276)(95, 282)(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) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2500
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2502 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 48>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, (T1 * T2 * T1^-1 * T2)^2, T1^24, (T2 * T1^-3)^8 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 62, 71, 78, 87, 92, 90, 82, 74, 66, 58, 50, 42, 34, 26, 17, 8)(6, 13, 21, 31, 38, 47, 54, 63, 70, 79, 86, 93, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 9, 14)(15, 23, 32, 40, 48, 56, 64, 72, 80, 88, 94, 96, 95, 89, 81, 73, 65, 57, 49, 41, 33, 25, 16, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 62)(55, 64)(58, 65)(60, 66)(61, 70)(63, 72)(67, 73)(68, 75)(69, 78)(71, 80)(74, 81)(76, 82)(77, 86)(79, 88)(83, 89)(84, 91)(85, 92)(87, 94)(90, 95)(93, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.2503 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 48>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^24, (T1 * T2^-3)^8 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 50, 58, 66, 74, 82, 90, 84, 76, 68, 60, 52, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 54, 62, 70, 78, 86, 93, 88, 80, 72, 64, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 95, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 9, 16)(11, 20, 29, 37, 45, 53, 61, 69, 77, 85, 92, 96, 94, 87, 79, 71, 63, 55, 47, 39, 31, 23, 13, 21)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 116)(112, 117)(113, 121)(114, 119)(115, 123)(118, 125)(120, 127)(122, 126)(124, 128)(129, 133)(130, 137)(131, 135)(132, 139)(134, 141)(136, 143)(138, 142)(140, 144)(145, 149)(146, 153)(147, 151)(148, 155)(150, 157)(152, 159)(154, 158)(156, 160)(161, 165)(162, 169)(163, 167)(164, 171)(166, 173)(168, 175)(170, 174)(172, 176)(177, 181)(178, 185)(179, 183)(180, 187)(182, 188)(184, 190)(186, 189)(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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2504
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.2504 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 48>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2^-1 * T1 * T2 * T1)^2, T2^24, (T1 * T2^-3)^8 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 17, 113, 26, 122, 34, 130, 42, 138, 50, 146, 58, 154, 66, 162, 74, 170, 82, 178, 90, 186, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 19, 115, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 22, 118, 30, 126, 38, 134, 46, 142, 54, 150, 62, 158, 70, 166, 78, 174, 86, 182, 93, 189, 88, 184, 80, 176, 72, 168, 64, 160, 56, 152, 48, 144, 40, 136, 32, 128, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 25, 121, 33, 129, 41, 137, 49, 145, 57, 153, 65, 161, 73, 169, 81, 177, 89, 185, 95, 191, 91, 187, 83, 179, 75, 171, 67, 163, 59, 155, 51, 147, 43, 139, 35, 131, 27, 123, 18, 114, 9, 105, 16, 112)(11, 107, 20, 116, 29, 125, 37, 133, 45, 141, 53, 149, 61, 157, 69, 165, 77, 173, 85, 181, 92, 188, 96, 192, 94, 190, 87, 183, 79, 175, 71, 167, 63, 159, 55, 151, 47, 143, 39, 135, 31, 127, 23, 119, 13, 109, 21, 117)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 108)(9, 100)(10, 110)(11, 101)(12, 104)(13, 102)(14, 106)(15, 116)(16, 117)(17, 121)(18, 119)(19, 123)(20, 111)(21, 112)(22, 125)(23, 114)(24, 127)(25, 113)(26, 126)(27, 115)(28, 128)(29, 118)(30, 122)(31, 120)(32, 124)(33, 133)(34, 137)(35, 135)(36, 139)(37, 129)(38, 141)(39, 131)(40, 143)(41, 130)(42, 142)(43, 132)(44, 144)(45, 134)(46, 138)(47, 136)(48, 140)(49, 149)(50, 153)(51, 151)(52, 155)(53, 145)(54, 157)(55, 147)(56, 159)(57, 146)(58, 158)(59, 148)(60, 160)(61, 150)(62, 154)(63, 152)(64, 156)(65, 165)(66, 169)(67, 167)(68, 171)(69, 161)(70, 173)(71, 163)(72, 175)(73, 162)(74, 174)(75, 164)(76, 176)(77, 166)(78, 170)(79, 168)(80, 172)(81, 181)(82, 185)(83, 183)(84, 187)(85, 177)(86, 188)(87, 179)(88, 190)(89, 178)(90, 189)(91, 180)(92, 182)(93, 186)(94, 184)(95, 192)(96, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2503
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.2505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 48>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^24, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 12, 108)(10, 106, 14, 110)(15, 111, 20, 116)(16, 112, 21, 117)(17, 113, 25, 121)(18, 114, 23, 119)(19, 115, 27, 123)(22, 118, 29, 125)(24, 120, 31, 127)(26, 122, 30, 126)(28, 124, 32, 128)(33, 129, 37, 133)(34, 130, 41, 137)(35, 131, 39, 135)(36, 132, 43, 139)(38, 134, 45, 141)(40, 136, 47, 143)(42, 138, 46, 142)(44, 140, 48, 144)(49, 145, 53, 149)(50, 146, 57, 153)(51, 147, 55, 151)(52, 148, 59, 155)(54, 150, 61, 157)(56, 152, 63, 159)(58, 154, 62, 158)(60, 156, 64, 160)(65, 161, 69, 165)(66, 162, 73, 169)(67, 163, 71, 167)(68, 164, 75, 171)(70, 166, 77, 173)(72, 168, 79, 175)(74, 170, 78, 174)(76, 172, 80, 176)(81, 177, 85, 181)(82, 178, 89, 185)(83, 179, 87, 183)(84, 180, 91, 187)(86, 182, 92, 188)(88, 184, 94, 190)(90, 186, 93, 189)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 209, 305, 218, 314, 226, 322, 234, 330, 242, 338, 250, 346, 258, 354, 266, 362, 274, 370, 282, 378, 276, 372, 268, 364, 260, 356, 252, 348, 244, 340, 236, 332, 228, 324, 220, 316, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 222, 318, 230, 326, 238, 334, 246, 342, 254, 350, 262, 358, 270, 366, 278, 374, 285, 381, 280, 376, 272, 368, 264, 360, 256, 352, 248, 344, 240, 336, 232, 328, 224, 320, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 217, 313, 225, 321, 233, 329, 241, 337, 249, 345, 257, 353, 265, 361, 273, 369, 281, 377, 287, 383, 283, 379, 275, 371, 267, 363, 259, 355, 251, 347, 243, 339, 235, 331, 227, 323, 219, 315, 210, 306, 201, 297, 208, 304)(203, 299, 212, 308, 221, 317, 229, 325, 237, 333, 245, 341, 253, 349, 261, 357, 269, 365, 277, 373, 284, 380, 288, 384, 286, 382, 279, 375, 271, 367, 263, 359, 255, 351, 247, 343, 239, 335, 231, 327, 223, 319, 215, 311, 205, 301, 213, 309)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 204)(9, 196)(10, 206)(11, 197)(12, 200)(13, 198)(14, 202)(15, 212)(16, 213)(17, 217)(18, 215)(19, 219)(20, 207)(21, 208)(22, 221)(23, 210)(24, 223)(25, 209)(26, 222)(27, 211)(28, 224)(29, 214)(30, 218)(31, 216)(32, 220)(33, 229)(34, 233)(35, 231)(36, 235)(37, 225)(38, 237)(39, 227)(40, 239)(41, 226)(42, 238)(43, 228)(44, 240)(45, 230)(46, 234)(47, 232)(48, 236)(49, 245)(50, 249)(51, 247)(52, 251)(53, 241)(54, 253)(55, 243)(56, 255)(57, 242)(58, 254)(59, 244)(60, 256)(61, 246)(62, 250)(63, 248)(64, 252)(65, 261)(66, 265)(67, 263)(68, 267)(69, 257)(70, 269)(71, 259)(72, 271)(73, 258)(74, 270)(75, 260)(76, 272)(77, 262)(78, 266)(79, 264)(80, 268)(81, 277)(82, 281)(83, 279)(84, 283)(85, 273)(86, 284)(87, 275)(88, 286)(89, 274)(90, 285)(91, 276)(92, 278)(93, 282)(94, 280)(95, 288)(96, 287)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2506
Graph:: bipartite
	v = 52 e = 192 f = 100
	degree seq :: [ 4^48, 48^4 ]

E21.2506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 x C2) : C2) (small group id <96, 48>)
Aut   = $<192, 291>$ (small group id <192, 291>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^24, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 20, 116, 29, 125, 37, 133, 45, 141, 53, 149, 61, 157, 69, 165, 77, 173, 85, 181, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 19, 115, 10, 106, 4, 100)(3, 99, 7, 103, 12, 108, 22, 118, 30, 126, 39, 135, 46, 142, 55, 151, 62, 158, 71, 167, 78, 174, 87, 183, 92, 188, 90, 186, 82, 178, 74, 170, 66, 162, 58, 154, 50, 146, 42, 138, 34, 130, 26, 122, 17, 113, 8, 104)(6, 102, 13, 109, 21, 117, 31, 127, 38, 134, 47, 143, 54, 150, 63, 159, 70, 166, 79, 175, 86, 182, 93, 189, 91, 187, 83, 179, 75, 171, 67, 163, 59, 155, 51, 147, 43, 139, 35, 131, 27, 123, 18, 114, 9, 105, 14, 110)(15, 111, 23, 119, 32, 128, 40, 136, 48, 144, 56, 152, 64, 160, 72, 168, 80, 176, 88, 184, 94, 190, 96, 192, 95, 191, 89, 185, 81, 177, 73, 169, 65, 161, 57, 153, 49, 145, 41, 137, 33, 129, 25, 121, 16, 112, 24, 120)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 207)(8, 208)(9, 196)(10, 209)(11, 213)(12, 197)(13, 215)(14, 216)(15, 199)(16, 200)(17, 202)(18, 217)(19, 219)(20, 222)(21, 203)(22, 224)(23, 205)(24, 206)(25, 210)(26, 225)(27, 211)(28, 226)(29, 230)(30, 212)(31, 232)(32, 214)(33, 218)(34, 220)(35, 233)(36, 235)(37, 238)(38, 221)(39, 240)(40, 223)(41, 227)(42, 241)(43, 228)(44, 242)(45, 246)(46, 229)(47, 248)(48, 231)(49, 234)(50, 236)(51, 249)(52, 251)(53, 254)(54, 237)(55, 256)(56, 239)(57, 243)(58, 257)(59, 244)(60, 258)(61, 262)(62, 245)(63, 264)(64, 247)(65, 250)(66, 252)(67, 265)(68, 267)(69, 270)(70, 253)(71, 272)(72, 255)(73, 259)(74, 273)(75, 260)(76, 274)(77, 278)(78, 261)(79, 280)(80, 263)(81, 266)(82, 268)(83, 281)(84, 283)(85, 284)(86, 269)(87, 286)(88, 271)(89, 275)(90, 287)(91, 276)(92, 277)(93, 288)(94, 279)(95, 282)(96, 285)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2505
Graph:: simple bipartite
	v = 100 e = 192 f = 52
	degree seq :: [ 2^96, 48^4 ]

E21.2507 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = C3 x ((C8 : C2) : C2) (small group id <96, 50>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1 * T2 * T1^-3 * T2 * T1 * T2 * T1 * T2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^4 * T2 * T1^-4, (T1^-5 * T2 * T1^-1)^2, T1^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 85, 78, 61, 36, 57, 76, 59, 32, 54, 74, 91, 84, 67, 44, 22, 10, 4)(3, 7, 15, 31, 46, 70, 88, 82, 65, 42, 21, 41, 52, 26, 12, 25, 49, 73, 86, 80, 63, 37, 18, 8)(6, 13, 27, 53, 69, 87, 81, 64, 40, 20, 9, 19, 38, 48, 24, 47, 71, 90, 83, 66, 43, 58, 30, 14)(16, 33, 50, 75, 89, 96, 93, 77, 60, 35, 17, 34, 51, 28, 55, 72, 92, 95, 94, 79, 62, 39, 56, 29)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 55)(33, 48)(35, 58)(37, 62)(38, 59)(40, 61)(41, 56)(42, 60)(44, 63)(45, 69)(47, 72)(49, 74)(52, 76)(53, 75)(64, 77)(65, 78)(66, 79)(67, 81)(68, 86)(70, 89)(71, 91)(73, 92)(80, 93)(82, 94)(83, 85)(84, 88)(87, 95)(90, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.2508 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = C3 x ((C8 : C2) : C2) (small group id <96, 50>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1, (T2^2 * T1 * T2^-2 * T1)^2, T2^-1 * T1 * T2^-10 * T1 * T2^-1, (T1 * T2^-3)^8 ]
Map::
	R = (1, 3, 8, 18, 37, 63, 80, 90, 74, 56, 29, 55, 70, 49, 25, 48, 69, 86, 84, 67, 44, 22, 10, 4)(2, 5, 12, 26, 51, 72, 88, 82, 65, 42, 21, 41, 61, 35, 17, 34, 60, 78, 92, 76, 58, 30, 14, 6)(7, 15, 32, 59, 77, 93, 81, 64, 40, 20, 9, 19, 38, 45, 36, 62, 79, 94, 83, 66, 43, 53, 33, 16)(11, 23, 46, 68, 85, 95, 89, 73, 54, 28, 13, 27, 52, 31, 50, 71, 87, 96, 91, 75, 57, 39, 47, 24)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 120)(114, 132)(115, 123)(116, 135)(118, 139)(119, 141)(122, 146)(124, 149)(126, 153)(128, 144)(129, 151)(130, 142)(131, 148)(133, 147)(134, 145)(136, 152)(137, 143)(138, 150)(140, 154)(155, 164)(156, 165)(157, 166)(158, 167)(159, 173)(160, 169)(161, 170)(162, 171)(163, 177)(168, 181)(172, 185)(174, 183)(175, 182)(176, 188)(178, 187)(179, 186)(180, 184)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2509
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.2509 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = C3 x ((C8 : C2) : C2) (small group id <96, 50>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1, (T2^2 * T1 * T2^-2 * T1)^2, T2^-1 * T1 * T2^-10 * T1 * T2^-1, (T1 * T2^-3)^8 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 37, 133, 63, 159, 80, 176, 90, 186, 74, 170, 56, 152, 29, 125, 55, 151, 70, 166, 49, 145, 25, 121, 48, 144, 69, 165, 86, 182, 84, 180, 67, 163, 44, 140, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 51, 147, 72, 168, 88, 184, 82, 178, 65, 161, 42, 138, 21, 117, 41, 137, 61, 157, 35, 131, 17, 113, 34, 130, 60, 156, 78, 174, 92, 188, 76, 172, 58, 154, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 59, 155, 77, 173, 93, 189, 81, 177, 64, 160, 40, 136, 20, 116, 9, 105, 19, 115, 38, 134, 45, 141, 36, 132, 62, 158, 79, 175, 94, 190, 83, 179, 66, 162, 43, 139, 53, 149, 33, 129, 16, 112)(11, 107, 23, 119, 46, 142, 68, 164, 85, 181, 95, 191, 89, 185, 73, 169, 54, 150, 28, 124, 13, 109, 27, 123, 52, 148, 31, 127, 50, 146, 71, 167, 87, 183, 96, 192, 91, 187, 75, 171, 57, 153, 39, 135, 47, 143, 24, 120)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 120)(17, 104)(18, 132)(19, 123)(20, 135)(21, 106)(22, 139)(23, 141)(24, 112)(25, 108)(26, 146)(27, 115)(28, 149)(29, 110)(30, 153)(31, 111)(32, 144)(33, 151)(34, 142)(35, 148)(36, 114)(37, 147)(38, 145)(39, 116)(40, 152)(41, 143)(42, 150)(43, 118)(44, 154)(45, 119)(46, 130)(47, 137)(48, 128)(49, 134)(50, 122)(51, 133)(52, 131)(53, 124)(54, 138)(55, 129)(56, 136)(57, 126)(58, 140)(59, 164)(60, 165)(61, 166)(62, 167)(63, 173)(64, 169)(65, 170)(66, 171)(67, 177)(68, 155)(69, 156)(70, 157)(71, 158)(72, 181)(73, 160)(74, 161)(75, 162)(76, 185)(77, 159)(78, 183)(79, 182)(80, 188)(81, 163)(82, 187)(83, 186)(84, 184)(85, 168)(86, 175)(87, 174)(88, 180)(89, 172)(90, 179)(91, 178)(92, 176)(93, 192)(94, 191)(95, 190)(96, 189)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2508
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.2510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 : C2) : C2) (small group id <96, 50>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * R * Y2^-1 * R, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2 * Y1, Y2^-1 * Y1 * Y2^3 * R * Y2 * R * Y2^-1 * Y1, Y1 * Y2^-2 * Y1 * Y2^-1 * R * Y2^-2 * R * Y2, Y2^4 * Y1 * Y2^-4 * Y1, (Y2^-2 * R * Y2^-2)^2, Y2^-5 * R * Y2^2 * R * Y2^-5, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 24, 120)(18, 114, 36, 132)(19, 115, 27, 123)(20, 116, 39, 135)(22, 118, 43, 139)(23, 119, 45, 141)(26, 122, 50, 146)(28, 124, 53, 149)(30, 126, 57, 153)(32, 128, 48, 144)(33, 129, 55, 151)(34, 130, 46, 142)(35, 131, 52, 148)(37, 133, 51, 147)(38, 134, 49, 145)(40, 136, 56, 152)(41, 137, 47, 143)(42, 138, 54, 150)(44, 140, 58, 154)(59, 155, 68, 164)(60, 156, 69, 165)(61, 157, 70, 166)(62, 158, 71, 167)(63, 159, 77, 173)(64, 160, 73, 169)(65, 161, 74, 170)(66, 162, 75, 171)(67, 163, 81, 177)(72, 168, 85, 181)(76, 172, 89, 185)(78, 174, 87, 183)(79, 175, 86, 182)(80, 176, 92, 188)(82, 178, 91, 187)(83, 179, 90, 186)(84, 180, 88, 184)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 255, 351, 272, 368, 282, 378, 266, 362, 248, 344, 221, 317, 247, 343, 262, 358, 241, 337, 217, 313, 240, 336, 261, 357, 278, 374, 276, 372, 259, 355, 236, 332, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 243, 339, 264, 360, 280, 376, 274, 370, 257, 353, 234, 330, 213, 309, 233, 329, 253, 349, 227, 323, 209, 305, 226, 322, 252, 348, 270, 366, 284, 380, 268, 364, 250, 346, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 251, 347, 269, 365, 285, 381, 273, 369, 256, 352, 232, 328, 212, 308, 201, 297, 211, 307, 230, 326, 237, 333, 228, 324, 254, 350, 271, 367, 286, 382, 275, 371, 258, 354, 235, 331, 245, 341, 225, 321, 208, 304)(203, 299, 215, 311, 238, 334, 260, 356, 277, 373, 287, 383, 281, 377, 265, 361, 246, 342, 220, 316, 205, 301, 219, 315, 244, 340, 223, 319, 242, 338, 263, 359, 279, 375, 288, 384, 283, 379, 267, 363, 249, 345, 231, 327, 239, 335, 216, 312)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 216)(17, 200)(18, 228)(19, 219)(20, 231)(21, 202)(22, 235)(23, 237)(24, 208)(25, 204)(26, 242)(27, 211)(28, 245)(29, 206)(30, 249)(31, 207)(32, 240)(33, 247)(34, 238)(35, 244)(36, 210)(37, 243)(38, 241)(39, 212)(40, 248)(41, 239)(42, 246)(43, 214)(44, 250)(45, 215)(46, 226)(47, 233)(48, 224)(49, 230)(50, 218)(51, 229)(52, 227)(53, 220)(54, 234)(55, 225)(56, 232)(57, 222)(58, 236)(59, 260)(60, 261)(61, 262)(62, 263)(63, 269)(64, 265)(65, 266)(66, 267)(67, 273)(68, 251)(69, 252)(70, 253)(71, 254)(72, 277)(73, 256)(74, 257)(75, 258)(76, 281)(77, 255)(78, 279)(79, 278)(80, 284)(81, 259)(82, 283)(83, 282)(84, 280)(85, 264)(86, 271)(87, 270)(88, 276)(89, 268)(90, 275)(91, 274)(92, 272)(93, 288)(94, 287)(95, 286)(96, 285)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2511
Graph:: bipartite
	v = 52 e = 192 f = 100
	degree seq :: [ 4^48, 48^4 ]

E21.2511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C3 x ((C8 : C2) : C2) (small group id <96, 50>)
Aut   = $<192, 306>$ (small group id <192, 306>)
|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 * Y3 * Y1^-1)^2, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y1^-1 * Y3 * Y1^-5)^2, (Y3 * Y1^3)^8 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 45, 141, 68, 164, 85, 181, 78, 174, 61, 157, 36, 132, 57, 153, 76, 172, 59, 155, 32, 128, 54, 150, 74, 170, 91, 187, 84, 180, 67, 163, 44, 140, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 46, 142, 70, 166, 88, 184, 82, 178, 65, 161, 42, 138, 21, 117, 41, 137, 52, 148, 26, 122, 12, 108, 25, 121, 49, 145, 73, 169, 86, 182, 80, 176, 63, 159, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 53, 149, 69, 165, 87, 183, 81, 177, 64, 160, 40, 136, 20, 116, 9, 105, 19, 115, 38, 134, 48, 144, 24, 120, 47, 143, 71, 167, 90, 186, 83, 179, 66, 162, 43, 139, 58, 154, 30, 126, 14, 110)(16, 112, 33, 129, 50, 146, 75, 171, 89, 185, 96, 192, 93, 189, 77, 173, 60, 156, 35, 131, 17, 113, 34, 130, 51, 147, 28, 124, 55, 151, 72, 168, 92, 188, 95, 191, 94, 190, 79, 175, 62, 158, 39, 135, 56, 152, 29, 125)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 228)(19, 226)(20, 231)(21, 202)(22, 235)(23, 238)(24, 203)(25, 242)(26, 243)(27, 246)(28, 205)(29, 206)(30, 249)(31, 247)(32, 207)(33, 240)(34, 211)(35, 250)(36, 210)(37, 254)(38, 251)(39, 212)(40, 253)(41, 248)(42, 252)(43, 214)(44, 255)(45, 261)(46, 215)(47, 264)(48, 225)(49, 266)(50, 217)(51, 218)(52, 268)(53, 267)(54, 219)(55, 223)(56, 233)(57, 222)(58, 227)(59, 230)(60, 234)(61, 232)(62, 229)(63, 236)(64, 269)(65, 270)(66, 271)(67, 273)(68, 278)(69, 237)(70, 281)(71, 283)(72, 239)(73, 284)(74, 241)(75, 245)(76, 244)(77, 256)(78, 257)(79, 258)(80, 285)(81, 259)(82, 286)(83, 277)(84, 280)(85, 275)(86, 260)(87, 287)(88, 276)(89, 262)(90, 288)(91, 263)(92, 265)(93, 272)(94, 274)(95, 279)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2510
Graph:: simple bipartite
	v = 100 e = 192 f = 52
	degree seq :: [ 2^96, 48^4 ]

E21.2512 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2 * T1^-2 * T2, T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^24, (T1^-1 * T2 * T1^-3)^6 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 31, 39, 47, 55, 63, 71, 79, 87, 86, 78, 70, 62, 54, 46, 38, 30, 22, 10, 4)(3, 7, 15, 24, 33, 42, 48, 57, 66, 72, 81, 90, 94, 91, 83, 75, 67, 59, 51, 43, 35, 27, 18, 8)(6, 13, 26, 32, 41, 50, 56, 65, 74, 80, 89, 96, 93, 85, 77, 69, 61, 53, 45, 37, 29, 21, 17, 14)(9, 19, 16, 12, 25, 34, 40, 49, 58, 64, 73, 82, 88, 95, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 15)(14, 19)(18, 20)(22, 27)(23, 32)(25, 26)(28, 29)(30, 36)(31, 40)(33, 34)(35, 37)(38, 45)(39, 48)(41, 42)(43, 44)(46, 51)(47, 56)(49, 50)(52, 53)(54, 60)(55, 64)(57, 58)(59, 61)(62, 69)(63, 72)(65, 66)(67, 68)(70, 75)(71, 80)(73, 74)(76, 77)(78, 84)(79, 88)(81, 82)(83, 85)(86, 93)(87, 94)(89, 90)(91, 92)(95, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.2513 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^-3 * T2 * T1^3 * T2, T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, T1^2 * T2 * T1^5 * T2 * T1^2 * T2 * T1^3, (T1^-1 * T2)^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 80, 89, 72, 53, 70, 88, 71, 52, 69, 87, 96, 79, 60, 40, 22, 10, 4)(3, 7, 15, 24, 43, 64, 81, 93, 76, 57, 37, 50, 68, 46, 28, 48, 66, 84, 92, 75, 56, 36, 18, 8)(6, 13, 27, 42, 63, 83, 90, 73, 54, 34, 17, 33, 51, 31, 45, 67, 85, 95, 78, 59, 39, 21, 30, 14)(9, 19, 26, 12, 25, 44, 62, 82, 91, 74, 55, 35, 49, 29, 16, 32, 47, 65, 86, 94, 77, 58, 38, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 33)(20, 37)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(32, 52)(34, 53)(38, 54)(39, 55)(40, 58)(41, 62)(43, 65)(44, 66)(48, 69)(49, 70)(51, 71)(56, 73)(57, 72)(59, 76)(60, 78)(61, 81)(63, 84)(64, 85)(67, 87)(68, 88)(74, 89)(75, 91)(77, 93)(79, 92)(80, 90)(82, 95)(83, 94)(86, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.2514 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2 * T1 * T2 * T1 * T2^-2, T2^24, (T2^-1 * T1 * T2^-3)^6 ]
Map::
	R = (1, 3, 8, 18, 27, 35, 43, 51, 59, 67, 75, 83, 91, 86, 78, 70, 62, 54, 46, 38, 30, 22, 10, 4)(2, 5, 12, 23, 31, 39, 47, 55, 63, 71, 79, 87, 94, 88, 80, 72, 64, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 89, 95, 93, 85, 77, 69, 61, 53, 45, 37, 29, 21, 13, 16)(9, 19, 11, 17, 26, 34, 42, 50, 58, 66, 74, 82, 90, 96, 92, 84, 76, 68, 60, 52, 44, 36, 28, 20)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 111)(110, 116)(112, 115)(114, 119)(118, 120)(121, 122)(123, 129)(124, 125)(126, 132)(127, 130)(128, 133)(131, 138)(134, 141)(135, 137)(136, 140)(139, 143)(142, 144)(145, 146)(147, 153)(148, 149)(150, 156)(151, 154)(152, 157)(155, 162)(158, 165)(159, 161)(160, 164)(163, 167)(166, 168)(169, 170)(171, 177)(172, 173)(174, 180)(175, 178)(176, 181)(179, 186)(182, 189)(183, 185)(184, 188)(187, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2516
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.2515 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, (T2 * T1 * T2^-1 * T1)^2, T2^3 * T1 * T2 * T1 * T2^7 * T1 * T2, T2^24, (T2^-1 * T1)^24 ]
Map::
	R = (1, 3, 8, 18, 36, 56, 75, 92, 85, 67, 47, 64, 81, 62, 41, 61, 80, 96, 79, 60, 40, 22, 10, 4)(2, 5, 12, 26, 46, 66, 84, 93, 76, 57, 37, 54, 72, 52, 31, 51, 71, 89, 88, 70, 50, 30, 14, 6)(7, 15, 32, 53, 73, 90, 86, 68, 48, 28, 13, 27, 45, 25, 44, 65, 83, 95, 78, 59, 39, 21, 33, 16)(9, 19, 35, 17, 34, 55, 74, 91, 87, 69, 49, 29, 43, 24, 11, 23, 42, 63, 82, 94, 77, 58, 38, 20)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 120)(114, 122)(115, 123)(116, 133)(118, 126)(119, 137)(124, 143)(128, 138)(129, 150)(130, 140)(131, 148)(132, 149)(134, 144)(135, 145)(136, 154)(139, 160)(141, 158)(142, 159)(146, 164)(147, 157)(151, 167)(152, 170)(153, 163)(155, 172)(156, 174)(161, 176)(162, 179)(165, 181)(166, 183)(168, 177)(169, 185)(171, 180)(173, 189)(175, 184)(178, 192)(182, 188)(186, 190)(187, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2517
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.2516 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T1 * T2 * T1 * T2 * T1 * T2^-2, T2^24, (T2^-1 * T1 * T2^-3)^6 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 27, 123, 35, 131, 43, 139, 51, 147, 59, 155, 67, 163, 75, 171, 83, 179, 91, 187, 86, 182, 78, 174, 70, 166, 62, 158, 54, 150, 46, 142, 38, 134, 30, 126, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 23, 119, 31, 127, 39, 135, 47, 143, 55, 151, 63, 159, 71, 167, 79, 175, 87, 183, 94, 190, 88, 184, 80, 176, 72, 168, 64, 160, 56, 152, 48, 144, 40, 136, 32, 128, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 25, 121, 33, 129, 41, 137, 49, 145, 57, 153, 65, 161, 73, 169, 81, 177, 89, 185, 95, 191, 93, 189, 85, 181, 77, 173, 69, 165, 61, 157, 53, 149, 45, 141, 37, 133, 29, 125, 21, 117, 13, 109, 16, 112)(9, 105, 19, 115, 11, 107, 17, 113, 26, 122, 34, 130, 42, 138, 50, 146, 58, 154, 66, 162, 74, 170, 82, 178, 90, 186, 96, 192, 92, 188, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 20, 116)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 111)(13, 102)(14, 116)(15, 108)(16, 115)(17, 104)(18, 119)(19, 112)(20, 110)(21, 106)(22, 120)(23, 114)(24, 118)(25, 122)(26, 121)(27, 129)(28, 125)(29, 124)(30, 132)(31, 130)(32, 133)(33, 123)(34, 127)(35, 138)(36, 126)(37, 128)(38, 141)(39, 137)(40, 140)(41, 135)(42, 131)(43, 143)(44, 136)(45, 134)(46, 144)(47, 139)(48, 142)(49, 146)(50, 145)(51, 153)(52, 149)(53, 148)(54, 156)(55, 154)(56, 157)(57, 147)(58, 151)(59, 162)(60, 150)(61, 152)(62, 165)(63, 161)(64, 164)(65, 159)(66, 155)(67, 167)(68, 160)(69, 158)(70, 168)(71, 163)(72, 166)(73, 170)(74, 169)(75, 177)(76, 173)(77, 172)(78, 180)(79, 178)(80, 181)(81, 171)(82, 175)(83, 186)(84, 174)(85, 176)(86, 189)(87, 185)(88, 188)(89, 183)(90, 179)(91, 190)(92, 184)(93, 182)(94, 187)(95, 192)(96, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2514
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.2517 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, (T2 * T1 * T2^-1 * T1)^2, T2^3 * T1 * T2 * T1 * T2^7 * T1 * T2, T2^24, (T2^-1 * T1)^24 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 36, 132, 56, 152, 75, 171, 92, 188, 85, 181, 67, 163, 47, 143, 64, 160, 81, 177, 62, 158, 41, 137, 61, 157, 80, 176, 96, 192, 79, 175, 60, 156, 40, 136, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 46, 142, 66, 162, 84, 180, 93, 189, 76, 172, 57, 153, 37, 133, 54, 150, 72, 168, 52, 148, 31, 127, 51, 147, 71, 167, 89, 185, 88, 184, 70, 166, 50, 146, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 53, 149, 73, 169, 90, 186, 86, 182, 68, 164, 48, 144, 28, 124, 13, 109, 27, 123, 45, 141, 25, 121, 44, 140, 65, 161, 83, 179, 95, 191, 78, 174, 59, 155, 39, 135, 21, 117, 33, 129, 16, 112)(9, 105, 19, 115, 35, 131, 17, 113, 34, 130, 55, 151, 74, 170, 91, 187, 87, 183, 69, 165, 49, 145, 29, 125, 43, 139, 24, 120, 11, 107, 23, 119, 42, 138, 63, 159, 82, 178, 94, 190, 77, 173, 58, 154, 38, 134, 20, 116)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 120)(17, 104)(18, 122)(19, 123)(20, 133)(21, 106)(22, 126)(23, 137)(24, 112)(25, 108)(26, 114)(27, 115)(28, 143)(29, 110)(30, 118)(31, 111)(32, 138)(33, 150)(34, 140)(35, 148)(36, 149)(37, 116)(38, 144)(39, 145)(40, 154)(41, 119)(42, 128)(43, 160)(44, 130)(45, 158)(46, 159)(47, 124)(48, 134)(49, 135)(50, 164)(51, 157)(52, 131)(53, 132)(54, 129)(55, 167)(56, 170)(57, 163)(58, 136)(59, 172)(60, 174)(61, 147)(62, 141)(63, 142)(64, 139)(65, 176)(66, 179)(67, 153)(68, 146)(69, 181)(70, 183)(71, 151)(72, 177)(73, 185)(74, 152)(75, 180)(76, 155)(77, 189)(78, 156)(79, 184)(80, 161)(81, 168)(82, 192)(83, 162)(84, 171)(85, 165)(86, 188)(87, 166)(88, 175)(89, 169)(90, 190)(91, 191)(92, 182)(93, 173)(94, 186)(95, 187)(96, 178)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2515
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.2518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1, Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * R * Y2^2 * R * Y2, Y2^24, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 15, 111)(14, 110, 20, 116)(16, 112, 19, 115)(18, 114, 23, 119)(22, 118, 24, 120)(25, 121, 26, 122)(27, 123, 33, 129)(28, 124, 29, 125)(30, 126, 36, 132)(31, 127, 34, 130)(32, 128, 37, 133)(35, 131, 42, 138)(38, 134, 45, 141)(39, 135, 41, 137)(40, 136, 44, 140)(43, 139, 47, 143)(46, 142, 48, 144)(49, 145, 50, 146)(51, 147, 57, 153)(52, 148, 53, 149)(54, 150, 60, 156)(55, 151, 58, 154)(56, 152, 61, 157)(59, 155, 66, 162)(62, 158, 69, 165)(63, 159, 65, 161)(64, 160, 68, 164)(67, 163, 71, 167)(70, 166, 72, 168)(73, 169, 74, 170)(75, 171, 81, 177)(76, 172, 77, 173)(78, 174, 84, 180)(79, 175, 82, 178)(80, 176, 85, 181)(83, 179, 90, 186)(86, 182, 93, 189)(87, 183, 89, 185)(88, 184, 92, 188)(91, 187, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 219, 315, 227, 323, 235, 331, 243, 339, 251, 347, 259, 355, 267, 363, 275, 371, 283, 379, 278, 374, 270, 366, 262, 358, 254, 350, 246, 342, 238, 334, 230, 326, 222, 318, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 215, 311, 223, 319, 231, 327, 239, 335, 247, 343, 255, 351, 263, 359, 271, 367, 279, 375, 286, 382, 280, 376, 272, 368, 264, 360, 256, 352, 248, 344, 240, 336, 232, 328, 224, 320, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 217, 313, 225, 321, 233, 329, 241, 337, 249, 345, 257, 353, 265, 361, 273, 369, 281, 377, 287, 383, 285, 381, 277, 373, 269, 365, 261, 357, 253, 349, 245, 341, 237, 333, 229, 325, 221, 317, 213, 309, 205, 301, 208, 304)(201, 297, 211, 307, 203, 299, 209, 305, 218, 314, 226, 322, 234, 330, 242, 338, 250, 346, 258, 354, 266, 362, 274, 370, 282, 378, 288, 384, 284, 380, 276, 372, 268, 364, 260, 356, 252, 348, 244, 340, 236, 332, 228, 324, 220, 316, 212, 308)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 207)(13, 198)(14, 212)(15, 204)(16, 211)(17, 200)(18, 215)(19, 208)(20, 206)(21, 202)(22, 216)(23, 210)(24, 214)(25, 218)(26, 217)(27, 225)(28, 221)(29, 220)(30, 228)(31, 226)(32, 229)(33, 219)(34, 223)(35, 234)(36, 222)(37, 224)(38, 237)(39, 233)(40, 236)(41, 231)(42, 227)(43, 239)(44, 232)(45, 230)(46, 240)(47, 235)(48, 238)(49, 242)(50, 241)(51, 249)(52, 245)(53, 244)(54, 252)(55, 250)(56, 253)(57, 243)(58, 247)(59, 258)(60, 246)(61, 248)(62, 261)(63, 257)(64, 260)(65, 255)(66, 251)(67, 263)(68, 256)(69, 254)(70, 264)(71, 259)(72, 262)(73, 266)(74, 265)(75, 273)(76, 269)(77, 268)(78, 276)(79, 274)(80, 277)(81, 267)(82, 271)(83, 282)(84, 270)(85, 272)(86, 285)(87, 281)(88, 284)(89, 279)(90, 275)(91, 286)(92, 280)(93, 278)(94, 283)(95, 288)(96, 287)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2520
Graph:: bipartite
	v = 52 e = 192 f = 100
	degree seq :: [ 4^48, 48^4 ]

E21.2519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^-3 * Y1 * Y2^3 * Y1, (Y2^-1 * R * Y2^-2)^2, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2, Y2^4 * Y1 * Y2^5 * Y1 * Y2^2 * Y1 * Y2, Y2^3 * Y1 * Y2 * R * Y2^-7 * R * Y2, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 24, 120)(18, 114, 26, 122)(19, 115, 27, 123)(20, 116, 37, 133)(22, 118, 30, 126)(23, 119, 41, 137)(28, 124, 47, 143)(32, 128, 42, 138)(33, 129, 54, 150)(34, 130, 44, 140)(35, 131, 52, 148)(36, 132, 53, 149)(38, 134, 48, 144)(39, 135, 49, 145)(40, 136, 58, 154)(43, 139, 64, 160)(45, 141, 62, 158)(46, 142, 63, 159)(50, 146, 68, 164)(51, 147, 61, 157)(55, 151, 71, 167)(56, 152, 74, 170)(57, 153, 67, 163)(59, 155, 76, 172)(60, 156, 78, 174)(65, 161, 80, 176)(66, 162, 83, 179)(69, 165, 85, 181)(70, 166, 87, 183)(72, 168, 81, 177)(73, 169, 89, 185)(75, 171, 84, 180)(77, 173, 93, 189)(79, 175, 88, 184)(82, 178, 96, 192)(86, 182, 92, 188)(90, 186, 94, 190)(91, 187, 95, 191)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 248, 344, 267, 363, 284, 380, 277, 373, 259, 355, 239, 335, 256, 352, 273, 369, 254, 350, 233, 329, 253, 349, 272, 368, 288, 384, 271, 367, 252, 348, 232, 328, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 238, 334, 258, 354, 276, 372, 285, 381, 268, 364, 249, 345, 229, 325, 246, 342, 264, 360, 244, 340, 223, 319, 243, 339, 263, 359, 281, 377, 280, 376, 262, 358, 242, 338, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 245, 341, 265, 361, 282, 378, 278, 374, 260, 356, 240, 336, 220, 316, 205, 301, 219, 315, 237, 333, 217, 313, 236, 332, 257, 353, 275, 371, 287, 383, 270, 366, 251, 347, 231, 327, 213, 309, 225, 321, 208, 304)(201, 297, 211, 307, 227, 323, 209, 305, 226, 322, 247, 343, 266, 362, 283, 379, 279, 375, 261, 357, 241, 337, 221, 317, 235, 331, 216, 312, 203, 299, 215, 311, 234, 330, 255, 351, 274, 370, 286, 382, 269, 365, 250, 346, 230, 326, 212, 308)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 216)(17, 200)(18, 218)(19, 219)(20, 229)(21, 202)(22, 222)(23, 233)(24, 208)(25, 204)(26, 210)(27, 211)(28, 239)(29, 206)(30, 214)(31, 207)(32, 234)(33, 246)(34, 236)(35, 244)(36, 245)(37, 212)(38, 240)(39, 241)(40, 250)(41, 215)(42, 224)(43, 256)(44, 226)(45, 254)(46, 255)(47, 220)(48, 230)(49, 231)(50, 260)(51, 253)(52, 227)(53, 228)(54, 225)(55, 263)(56, 266)(57, 259)(58, 232)(59, 268)(60, 270)(61, 243)(62, 237)(63, 238)(64, 235)(65, 272)(66, 275)(67, 249)(68, 242)(69, 277)(70, 279)(71, 247)(72, 273)(73, 281)(74, 248)(75, 276)(76, 251)(77, 285)(78, 252)(79, 280)(80, 257)(81, 264)(82, 288)(83, 258)(84, 267)(85, 261)(86, 284)(87, 262)(88, 271)(89, 265)(90, 286)(91, 287)(92, 278)(93, 269)(94, 282)(95, 283)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2521
Graph:: bipartite
	v = 52 e = 192 f = 100
	degree seq :: [ 4^48, 48^4 ]

E21.2520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^24, (Y1^-3 * Y3 * Y1^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 31, 127, 39, 135, 47, 143, 55, 151, 63, 159, 71, 167, 79, 175, 87, 183, 86, 182, 78, 174, 70, 166, 62, 158, 54, 150, 46, 142, 38, 134, 30, 126, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 33, 129, 42, 138, 48, 144, 57, 153, 66, 162, 72, 168, 81, 177, 90, 186, 94, 190, 91, 187, 83, 179, 75, 171, 67, 163, 59, 155, 51, 147, 43, 139, 35, 131, 27, 123, 18, 114, 8, 104)(6, 102, 13, 109, 26, 122, 32, 128, 41, 137, 50, 146, 56, 152, 65, 161, 74, 170, 80, 176, 89, 185, 96, 192, 93, 189, 85, 181, 77, 173, 69, 165, 61, 157, 53, 149, 45, 141, 37, 133, 29, 125, 21, 117, 17, 113, 14, 110)(9, 105, 19, 115, 16, 112, 12, 108, 25, 121, 34, 130, 40, 136, 49, 145, 58, 154, 64, 160, 73, 169, 82, 178, 88, 184, 95, 191, 92, 188, 84, 180, 76, 172, 68, 164, 60, 156, 52, 148, 44, 140, 36, 132, 28, 124, 20, 116)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 207)(14, 211)(15, 205)(16, 199)(17, 200)(18, 212)(19, 206)(20, 210)(21, 202)(22, 219)(23, 224)(24, 203)(25, 218)(26, 217)(27, 214)(28, 221)(29, 220)(30, 228)(31, 232)(32, 215)(33, 226)(34, 225)(35, 229)(36, 222)(37, 227)(38, 237)(39, 240)(40, 223)(41, 234)(42, 233)(43, 236)(44, 235)(45, 230)(46, 243)(47, 248)(48, 231)(49, 242)(50, 241)(51, 238)(52, 245)(53, 244)(54, 252)(55, 256)(56, 239)(57, 250)(58, 249)(59, 253)(60, 246)(61, 251)(62, 261)(63, 264)(64, 247)(65, 258)(66, 257)(67, 260)(68, 259)(69, 254)(70, 267)(71, 272)(72, 255)(73, 266)(74, 265)(75, 262)(76, 269)(77, 268)(78, 276)(79, 280)(80, 263)(81, 274)(82, 273)(83, 277)(84, 270)(85, 275)(86, 285)(87, 286)(88, 271)(89, 282)(90, 281)(91, 284)(92, 283)(93, 278)(94, 279)(95, 288)(96, 287)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2518
Graph:: simple bipartite
	v = 100 e = 192 f = 52
	degree seq :: [ 2^96, 48^4 ]

E21.2521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = C8 x A4 (small group id <96, 73>)
Aut   = (C8 x A4) : C2 (small group id <192, 961>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, Y1^-3 * Y3 * Y1^3 * Y3, Y1 * Y3 * Y1^7 * Y3 * Y1 * Y3 * Y1^3, Y1^24, (Y3 * Y1^-1)^24 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 41, 137, 61, 157, 80, 176, 89, 185, 72, 168, 53, 149, 70, 166, 88, 184, 71, 167, 52, 148, 69, 165, 87, 183, 96, 192, 79, 175, 60, 156, 40, 136, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 43, 139, 64, 160, 81, 177, 93, 189, 76, 172, 57, 153, 37, 133, 50, 146, 68, 164, 46, 142, 28, 124, 48, 144, 66, 162, 84, 180, 92, 188, 75, 171, 56, 152, 36, 132, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 42, 138, 63, 159, 83, 179, 90, 186, 73, 169, 54, 150, 34, 130, 17, 113, 33, 129, 51, 147, 31, 127, 45, 141, 67, 163, 85, 181, 95, 191, 78, 174, 59, 155, 39, 135, 21, 117, 30, 126, 14, 110)(9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 44, 140, 62, 158, 82, 178, 91, 187, 74, 170, 55, 151, 35, 131, 49, 145, 29, 125, 16, 112, 32, 128, 47, 143, 65, 161, 86, 182, 94, 190, 77, 173, 58, 154, 38, 134, 20, 116)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 227)(19, 225)(20, 229)(21, 202)(22, 228)(23, 234)(24, 203)(25, 237)(26, 238)(27, 239)(28, 205)(29, 206)(30, 242)(31, 207)(32, 244)(33, 211)(34, 245)(35, 210)(36, 214)(37, 212)(38, 246)(39, 247)(40, 250)(41, 254)(42, 215)(43, 257)(44, 258)(45, 217)(46, 218)(47, 219)(48, 261)(49, 262)(50, 222)(51, 263)(52, 224)(53, 226)(54, 230)(55, 231)(56, 265)(57, 264)(58, 232)(59, 268)(60, 270)(61, 273)(62, 233)(63, 276)(64, 277)(65, 235)(66, 236)(67, 279)(68, 280)(69, 240)(70, 241)(71, 243)(72, 249)(73, 248)(74, 281)(75, 283)(76, 251)(77, 285)(78, 252)(79, 284)(80, 282)(81, 253)(82, 287)(83, 286)(84, 255)(85, 256)(86, 288)(87, 259)(88, 260)(89, 266)(90, 272)(91, 267)(92, 271)(93, 269)(94, 275)(95, 274)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2519
Graph:: simple bipartite
	v = 100 e = 192 f = 52
	degree seq :: [ 2^96, 48^4 ]

E21.2522 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^3 * T2 * T1^-2, T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^4, T1^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 63, 74, 86, 94, 89, 92, 95, 90, 93, 96, 91, 77, 84, 62, 42, 22, 10, 4)(3, 7, 15, 24, 39, 59, 66, 45, 65, 85, 64, 80, 87, 71, 83, 88, 72, 50, 70, 47, 28, 37, 18, 8)(6, 13, 27, 35, 17, 34, 52, 31, 51, 73, 76, 53, 75, 82, 60, 81, 58, 38, 57, 61, 41, 21, 30, 14)(9, 19, 26, 12, 25, 44, 49, 29, 48, 68, 46, 67, 78, 55, 69, 79, 56, 36, 54, 33, 16, 32, 40, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 35)(25, 41)(26, 45)(27, 46)(30, 50)(32, 42)(33, 53)(34, 55)(40, 60)(43, 49)(44, 64)(47, 69)(48, 71)(51, 56)(52, 74)(54, 77)(57, 62)(58, 80)(59, 76)(61, 83)(63, 66)(65, 82)(67, 72)(68, 86)(70, 84)(73, 89)(75, 90)(78, 92)(79, 93)(81, 91)(85, 94)(87, 95)(88, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.2523 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 24, 24})
Quotient :: regular
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^3 * T2 * T1^-1, (T1 * T2 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 69, 81, 55, 75, 91, 94, 96, 93, 95, 85, 59, 79, 90, 68, 42, 22, 10, 4)(3, 7, 15, 24, 45, 52, 77, 49, 28, 48, 74, 87, 92, 78, 88, 65, 39, 64, 73, 47, 61, 37, 18, 8)(6, 13, 27, 44, 63, 38, 62, 72, 46, 71, 83, 56, 82, 86, 60, 35, 17, 34, 53, 31, 41, 21, 30, 14)(9, 19, 26, 12, 25, 36, 57, 33, 16, 32, 54, 70, 84, 58, 76, 89, 67, 80, 51, 29, 50, 66, 40, 20)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 44)(25, 46)(26, 47)(27, 40)(30, 52)(32, 55)(33, 56)(34, 58)(35, 59)(41, 67)(42, 66)(43, 57)(45, 70)(48, 75)(49, 76)(50, 78)(51, 79)(53, 68)(54, 60)(61, 86)(62, 81)(63, 87)(64, 83)(65, 85)(69, 77)(71, 91)(72, 88)(73, 90)(74, 80)(82, 93)(84, 94)(89, 95)(92, 96)
	local type(s) :: { ( 24^24 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 48 f = 4
	degree seq :: [ 24^4 ]

E21.2524 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2 * T1 * T2^4 * T1 * T2, (T2 * T1 * T2^-1 * T1)^4, T2^24 ]
Map::
	R = (1, 3, 8, 18, 37, 56, 79, 67, 88, 96, 87, 89, 94, 85, 90, 95, 86, 65, 84, 62, 42, 22, 10, 4)(2, 5, 12, 26, 39, 59, 78, 55, 77, 93, 76, 80, 91, 74, 83, 92, 75, 53, 71, 49, 31, 30, 14, 6)(7, 15, 32, 28, 13, 27, 46, 25, 45, 66, 64, 43, 63, 82, 60, 81, 58, 38, 57, 61, 41, 21, 34, 16)(9, 19, 36, 17, 35, 54, 52, 33, 51, 73, 50, 72, 69, 47, 68, 70, 48, 29, 44, 24, 11, 23, 40, 20)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 129)(114, 122)(115, 134)(116, 135)(118, 126)(119, 138)(120, 139)(123, 143)(124, 133)(128, 146)(130, 149)(131, 137)(132, 151)(136, 156)(140, 161)(141, 144)(142, 163)(145, 164)(147, 170)(148, 152)(150, 172)(153, 158)(154, 176)(155, 160)(157, 179)(159, 181)(162, 183)(165, 185)(166, 186)(167, 180)(168, 171)(169, 184)(173, 178)(174, 175)(177, 182)(187, 190)(188, 191)(189, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2526
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.2525 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 24, 24})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-3 * T1 * T2^3 * T1, (T2 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^24 ]
Map::
	R = (1, 3, 8, 18, 37, 61, 86, 70, 43, 69, 91, 93, 96, 92, 94, 77, 50, 76, 90, 68, 42, 22, 10, 4)(2, 5, 12, 26, 48, 58, 80, 54, 31, 53, 79, 87, 95, 81, 88, 65, 39, 64, 85, 60, 52, 30, 14, 6)(7, 15, 32, 55, 63, 38, 62, 84, 59, 83, 73, 45, 72, 78, 51, 28, 13, 27, 47, 25, 41, 21, 34, 16)(9, 19, 36, 17, 35, 29, 46, 24, 11, 23, 44, 71, 75, 49, 74, 89, 67, 82, 57, 33, 56, 66, 40, 20)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 129)(114, 122)(115, 134)(116, 135)(118, 126)(119, 139)(120, 141)(123, 145)(124, 146)(128, 136)(130, 154)(131, 155)(132, 156)(133, 151)(137, 163)(138, 162)(140, 147)(142, 157)(143, 164)(144, 167)(148, 174)(149, 165)(150, 170)(152, 177)(153, 172)(158, 166)(159, 183)(160, 169)(161, 173)(168, 188)(171, 189)(175, 178)(176, 182)(179, 187)(180, 184)(181, 186)(185, 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) :: { ( 48, 48 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2527
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 4
	degree seq :: [ 2^48, 24^4 ]

E21.2526 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2 * T1 * T2^4 * T1 * T2, (T2 * T1 * T2^-1 * T1)^4, T2^24 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 37, 133, 56, 152, 79, 175, 67, 163, 88, 184, 96, 192, 87, 183, 89, 185, 94, 190, 85, 181, 90, 186, 95, 191, 86, 182, 65, 161, 84, 180, 62, 158, 42, 138, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 39, 135, 59, 155, 78, 174, 55, 151, 77, 173, 93, 189, 76, 172, 80, 176, 91, 187, 74, 170, 83, 179, 92, 188, 75, 171, 53, 149, 71, 167, 49, 145, 31, 127, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 28, 124, 13, 109, 27, 123, 46, 142, 25, 121, 45, 141, 66, 162, 64, 160, 43, 139, 63, 159, 82, 178, 60, 156, 81, 177, 58, 154, 38, 134, 57, 153, 61, 157, 41, 137, 21, 117, 34, 130, 16, 112)(9, 105, 19, 115, 36, 132, 17, 113, 35, 131, 54, 150, 52, 148, 33, 129, 51, 147, 73, 169, 50, 146, 72, 168, 69, 165, 47, 143, 68, 164, 70, 166, 48, 144, 29, 125, 44, 140, 24, 120, 11, 107, 23, 119, 40, 136, 20, 116)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 129)(17, 104)(18, 122)(19, 134)(20, 135)(21, 106)(22, 126)(23, 138)(24, 139)(25, 108)(26, 114)(27, 143)(28, 133)(29, 110)(30, 118)(31, 111)(32, 146)(33, 112)(34, 149)(35, 137)(36, 151)(37, 124)(38, 115)(39, 116)(40, 156)(41, 131)(42, 119)(43, 120)(44, 161)(45, 144)(46, 163)(47, 123)(48, 141)(49, 164)(50, 128)(51, 170)(52, 152)(53, 130)(54, 172)(55, 132)(56, 148)(57, 158)(58, 176)(59, 160)(60, 136)(61, 179)(62, 153)(63, 181)(64, 155)(65, 140)(66, 183)(67, 142)(68, 145)(69, 185)(70, 186)(71, 180)(72, 171)(73, 184)(74, 147)(75, 168)(76, 150)(77, 178)(78, 175)(79, 174)(80, 154)(81, 182)(82, 173)(83, 157)(84, 167)(85, 159)(86, 177)(87, 162)(88, 169)(89, 165)(90, 166)(91, 190)(92, 191)(93, 192)(94, 187)(95, 188)(96, 189)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2524
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.2527 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 24, 24})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-3 * T1 * T2^3 * T1, (T2 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^24 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 37, 133, 61, 157, 86, 182, 70, 166, 43, 139, 69, 165, 91, 187, 93, 189, 96, 192, 92, 188, 94, 190, 77, 173, 50, 146, 76, 172, 90, 186, 68, 164, 42, 138, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 48, 144, 58, 154, 80, 176, 54, 150, 31, 127, 53, 149, 79, 175, 87, 183, 95, 191, 81, 177, 88, 184, 65, 161, 39, 135, 64, 160, 85, 181, 60, 156, 52, 148, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 55, 151, 63, 159, 38, 134, 62, 158, 84, 180, 59, 155, 83, 179, 73, 169, 45, 141, 72, 168, 78, 174, 51, 147, 28, 124, 13, 109, 27, 123, 47, 143, 25, 121, 41, 137, 21, 117, 34, 130, 16, 112)(9, 105, 19, 115, 36, 132, 17, 113, 35, 131, 29, 125, 46, 142, 24, 120, 11, 107, 23, 119, 44, 140, 71, 167, 75, 171, 49, 145, 74, 170, 89, 185, 67, 163, 82, 178, 57, 153, 33, 129, 56, 152, 66, 162, 40, 136, 20, 116)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 129)(17, 104)(18, 122)(19, 134)(20, 135)(21, 106)(22, 126)(23, 139)(24, 141)(25, 108)(26, 114)(27, 145)(28, 146)(29, 110)(30, 118)(31, 111)(32, 136)(33, 112)(34, 154)(35, 155)(36, 156)(37, 151)(38, 115)(39, 116)(40, 128)(41, 163)(42, 162)(43, 119)(44, 147)(45, 120)(46, 157)(47, 164)(48, 167)(49, 123)(50, 124)(51, 140)(52, 174)(53, 165)(54, 170)(55, 133)(56, 177)(57, 172)(58, 130)(59, 131)(60, 132)(61, 142)(62, 166)(63, 183)(64, 169)(65, 173)(66, 138)(67, 137)(68, 143)(69, 149)(70, 158)(71, 144)(72, 188)(73, 160)(74, 150)(75, 189)(76, 153)(77, 161)(78, 148)(79, 178)(80, 182)(81, 152)(82, 175)(83, 187)(84, 184)(85, 186)(86, 176)(87, 159)(88, 180)(89, 190)(90, 181)(91, 179)(92, 168)(93, 171)(94, 185)(95, 192)(96, 191)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2525
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 96 f = 52
	degree seq :: [ 48^4 ]

E21.2528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * R * Y2^-1)^2, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, (Y1 * Y2^2 * R)^2, Y1 * Y2 * Y1 * Y2^4 * Y1 * Y2, (Y2 * Y1 * Y2^-1 * Y1)^4, Y2^24, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 33, 129)(18, 114, 26, 122)(19, 115, 38, 134)(20, 116, 39, 135)(22, 118, 30, 126)(23, 119, 42, 138)(24, 120, 43, 139)(27, 123, 47, 143)(28, 124, 37, 133)(32, 128, 50, 146)(34, 130, 53, 149)(35, 131, 41, 137)(36, 132, 55, 151)(40, 136, 60, 156)(44, 140, 65, 161)(45, 141, 48, 144)(46, 142, 67, 163)(49, 145, 68, 164)(51, 147, 74, 170)(52, 148, 56, 152)(54, 150, 76, 172)(57, 153, 62, 158)(58, 154, 80, 176)(59, 155, 64, 160)(61, 157, 83, 179)(63, 159, 85, 181)(66, 162, 87, 183)(69, 165, 89, 185)(70, 166, 90, 186)(71, 167, 84, 180)(72, 168, 75, 171)(73, 169, 88, 184)(77, 173, 82, 178)(78, 174, 79, 175)(81, 177, 86, 182)(91, 187, 94, 190)(92, 188, 95, 191)(93, 189, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 248, 344, 271, 367, 259, 355, 280, 376, 288, 384, 279, 375, 281, 377, 286, 382, 277, 373, 282, 378, 287, 383, 278, 374, 257, 353, 276, 372, 254, 350, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 231, 327, 251, 347, 270, 366, 247, 343, 269, 365, 285, 381, 268, 364, 272, 368, 283, 379, 266, 362, 275, 371, 284, 380, 267, 363, 245, 341, 263, 359, 241, 337, 223, 319, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 220, 316, 205, 301, 219, 315, 238, 334, 217, 313, 237, 333, 258, 354, 256, 352, 235, 331, 255, 351, 274, 370, 252, 348, 273, 369, 250, 346, 230, 326, 249, 345, 253, 349, 233, 329, 213, 309, 226, 322, 208, 304)(201, 297, 211, 307, 228, 324, 209, 305, 227, 323, 246, 342, 244, 340, 225, 321, 243, 339, 265, 361, 242, 338, 264, 360, 261, 357, 239, 335, 260, 356, 262, 358, 240, 336, 221, 317, 236, 332, 216, 312, 203, 299, 215, 311, 232, 328, 212, 308)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 225)(17, 200)(18, 218)(19, 230)(20, 231)(21, 202)(22, 222)(23, 234)(24, 235)(25, 204)(26, 210)(27, 239)(28, 229)(29, 206)(30, 214)(31, 207)(32, 242)(33, 208)(34, 245)(35, 233)(36, 247)(37, 220)(38, 211)(39, 212)(40, 252)(41, 227)(42, 215)(43, 216)(44, 257)(45, 240)(46, 259)(47, 219)(48, 237)(49, 260)(50, 224)(51, 266)(52, 248)(53, 226)(54, 268)(55, 228)(56, 244)(57, 254)(58, 272)(59, 256)(60, 232)(61, 275)(62, 249)(63, 277)(64, 251)(65, 236)(66, 279)(67, 238)(68, 241)(69, 281)(70, 282)(71, 276)(72, 267)(73, 280)(74, 243)(75, 264)(76, 246)(77, 274)(78, 271)(79, 270)(80, 250)(81, 278)(82, 269)(83, 253)(84, 263)(85, 255)(86, 273)(87, 258)(88, 265)(89, 261)(90, 262)(91, 286)(92, 287)(93, 288)(94, 283)(95, 284)(96, 285)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2530
Graph:: bipartite
	v = 52 e = 192 f = 100
	degree seq :: [ 4^48, 48^4 ]

E21.2529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|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^-2)^2, Y2^-3 * Y1 * Y2^3 * Y1, (Y2 * Y1 * Y2)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^24, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 33, 129)(18, 114, 26, 122)(19, 115, 38, 134)(20, 116, 39, 135)(22, 118, 30, 126)(23, 119, 43, 139)(24, 120, 45, 141)(27, 123, 49, 145)(28, 124, 50, 146)(32, 128, 40, 136)(34, 130, 58, 154)(35, 131, 59, 155)(36, 132, 60, 156)(37, 133, 55, 151)(41, 137, 67, 163)(42, 138, 66, 162)(44, 140, 51, 147)(46, 142, 61, 157)(47, 143, 68, 164)(48, 144, 71, 167)(52, 148, 78, 174)(53, 149, 69, 165)(54, 150, 74, 170)(56, 152, 81, 177)(57, 153, 76, 172)(62, 158, 70, 166)(63, 159, 87, 183)(64, 160, 73, 169)(65, 161, 77, 173)(72, 168, 92, 188)(75, 171, 93, 189)(79, 175, 82, 178)(80, 176, 86, 182)(83, 179, 91, 187)(84, 180, 88, 184)(85, 181, 90, 186)(89, 185, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 253, 349, 278, 374, 262, 358, 235, 331, 261, 357, 283, 379, 285, 381, 288, 384, 284, 380, 286, 382, 269, 365, 242, 338, 268, 364, 282, 378, 260, 356, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 240, 336, 250, 346, 272, 368, 246, 342, 223, 319, 245, 341, 271, 367, 279, 375, 287, 383, 273, 369, 280, 376, 257, 353, 231, 327, 256, 352, 277, 373, 252, 348, 244, 340, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 247, 343, 255, 351, 230, 326, 254, 350, 276, 372, 251, 347, 275, 371, 265, 361, 237, 333, 264, 360, 270, 366, 243, 339, 220, 316, 205, 301, 219, 315, 239, 335, 217, 313, 233, 329, 213, 309, 226, 322, 208, 304)(201, 297, 211, 307, 228, 324, 209, 305, 227, 323, 221, 317, 238, 334, 216, 312, 203, 299, 215, 311, 236, 332, 263, 359, 267, 363, 241, 337, 266, 362, 281, 377, 259, 355, 274, 370, 249, 345, 225, 321, 248, 344, 258, 354, 232, 328, 212, 308)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 225)(17, 200)(18, 218)(19, 230)(20, 231)(21, 202)(22, 222)(23, 235)(24, 237)(25, 204)(26, 210)(27, 241)(28, 242)(29, 206)(30, 214)(31, 207)(32, 232)(33, 208)(34, 250)(35, 251)(36, 252)(37, 247)(38, 211)(39, 212)(40, 224)(41, 259)(42, 258)(43, 215)(44, 243)(45, 216)(46, 253)(47, 260)(48, 263)(49, 219)(50, 220)(51, 236)(52, 270)(53, 261)(54, 266)(55, 229)(56, 273)(57, 268)(58, 226)(59, 227)(60, 228)(61, 238)(62, 262)(63, 279)(64, 265)(65, 269)(66, 234)(67, 233)(68, 239)(69, 245)(70, 254)(71, 240)(72, 284)(73, 256)(74, 246)(75, 285)(76, 249)(77, 257)(78, 244)(79, 274)(80, 278)(81, 248)(82, 271)(83, 283)(84, 280)(85, 282)(86, 272)(87, 255)(88, 276)(89, 286)(90, 277)(91, 275)(92, 264)(93, 267)(94, 281)(95, 288)(96, 287)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2531
Graph:: bipartite
	v = 52 e = 192 f = 100
	degree seq :: [ 4^48, 48^4 ]

E21.2530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^3 * Y3 * Y1^-3, Y1^3 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3 * Y1 * Y3 * Y1^-1)^4, Y1^24 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 63, 159, 74, 170, 86, 182, 94, 190, 89, 185, 92, 188, 95, 191, 90, 186, 93, 189, 96, 192, 91, 187, 77, 173, 84, 180, 62, 158, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 39, 135, 59, 155, 66, 162, 45, 141, 65, 161, 85, 181, 64, 160, 80, 176, 87, 183, 71, 167, 83, 179, 88, 184, 72, 168, 50, 146, 70, 166, 47, 143, 28, 124, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 35, 131, 17, 113, 34, 130, 52, 148, 31, 127, 51, 147, 73, 169, 76, 172, 53, 149, 75, 171, 82, 178, 60, 156, 81, 177, 58, 154, 38, 134, 57, 153, 61, 157, 41, 137, 21, 117, 30, 126, 14, 110)(9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 44, 140, 49, 145, 29, 125, 48, 144, 68, 164, 46, 142, 67, 163, 78, 174, 55, 151, 69, 165, 79, 175, 56, 152, 36, 132, 54, 150, 33, 129, 16, 112, 32, 128, 40, 136, 20, 116)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 228)(19, 230)(20, 231)(21, 202)(22, 229)(23, 227)(24, 203)(25, 233)(26, 237)(27, 238)(28, 205)(29, 206)(30, 242)(31, 207)(32, 234)(33, 245)(34, 247)(35, 215)(36, 210)(37, 214)(38, 211)(39, 212)(40, 252)(41, 217)(42, 224)(43, 241)(44, 256)(45, 218)(46, 219)(47, 261)(48, 263)(49, 235)(50, 222)(51, 248)(52, 266)(53, 225)(54, 269)(55, 226)(56, 243)(57, 254)(58, 272)(59, 268)(60, 232)(61, 275)(62, 249)(63, 258)(64, 236)(65, 274)(66, 255)(67, 264)(68, 278)(69, 239)(70, 276)(71, 240)(72, 259)(73, 281)(74, 244)(75, 282)(76, 251)(77, 246)(78, 284)(79, 285)(80, 250)(81, 283)(82, 257)(83, 253)(84, 262)(85, 286)(86, 260)(87, 287)(88, 288)(89, 265)(90, 267)(91, 273)(92, 270)(93, 271)(94, 277)(95, 279)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2528
Graph:: simple bipartite
	v = 100 e = 192 f = 52
	degree seq :: [ 2^96, 48^4 ]

E21.2531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 24, 24})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C3 (small group id <96, 74>)
Aut   = $<192, 966>$ (small group id <192, 966>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^3 * Y3 * Y1^-3, (Y1^2 * Y3)^3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^24 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 69, 165, 81, 177, 55, 151, 75, 171, 91, 187, 94, 190, 96, 192, 93, 189, 95, 191, 85, 181, 59, 155, 79, 175, 90, 186, 68, 164, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 45, 141, 52, 148, 77, 173, 49, 145, 28, 124, 48, 144, 74, 170, 87, 183, 92, 188, 78, 174, 88, 184, 65, 161, 39, 135, 64, 160, 73, 169, 47, 143, 61, 157, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 44, 140, 63, 159, 38, 134, 62, 158, 72, 168, 46, 142, 71, 167, 83, 179, 56, 152, 82, 178, 86, 182, 60, 156, 35, 131, 17, 113, 34, 130, 53, 149, 31, 127, 41, 137, 21, 117, 30, 126, 14, 110)(9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 36, 132, 57, 153, 33, 129, 16, 112, 32, 128, 54, 150, 70, 166, 84, 180, 58, 154, 76, 172, 89, 185, 67, 163, 80, 176, 51, 147, 29, 125, 50, 146, 66, 162, 40, 136, 20, 116)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 228)(19, 230)(20, 231)(21, 202)(22, 229)(23, 236)(24, 203)(25, 238)(26, 239)(27, 232)(28, 205)(29, 206)(30, 244)(31, 207)(32, 247)(33, 248)(34, 250)(35, 251)(36, 210)(37, 214)(38, 211)(39, 212)(40, 219)(41, 259)(42, 258)(43, 249)(44, 215)(45, 262)(46, 217)(47, 218)(48, 267)(49, 268)(50, 270)(51, 271)(52, 222)(53, 260)(54, 252)(55, 224)(56, 225)(57, 235)(58, 226)(59, 227)(60, 246)(61, 278)(62, 273)(63, 279)(64, 275)(65, 277)(66, 234)(67, 233)(68, 245)(69, 269)(70, 237)(71, 283)(72, 280)(73, 282)(74, 272)(75, 240)(76, 241)(77, 261)(78, 242)(79, 243)(80, 266)(81, 254)(82, 285)(83, 256)(84, 286)(85, 257)(86, 253)(87, 255)(88, 264)(89, 287)(90, 265)(91, 263)(92, 288)(93, 274)(94, 276)(95, 281)(96, 284)(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) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2529
Graph:: simple bipartite
	v = 100 e = 192 f = 52
	degree seq :: [ 2^96, 48^4 ]

E21.2532 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 48})
Quotient :: regular
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-3 * T2 * T1^3 * T2, T1^-8 * T2 * T1^-5 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 84, 72, 60, 48, 34, 46, 32, 16, 28, 43, 57, 69, 81, 93, 96, 95, 83, 71, 59, 47, 33, 17, 29, 44, 31, 45, 58, 70, 82, 94, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 79, 92, 87, 75, 63, 51, 37, 21, 30, 14, 6, 13, 27, 40, 55, 68, 78, 91, 86, 74, 62, 50, 36, 20, 9, 19, 26, 12, 25, 42, 54, 67, 80, 90, 85, 73, 61, 49, 35, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 48)(37, 47)(38, 50)(39, 54)(41, 57)(42, 58)(49, 59)(51, 60)(52, 63)(53, 66)(55, 69)(56, 70)(61, 72)(62, 71)(64, 73)(65, 78)(67, 81)(68, 82)(74, 84)(75, 83)(76, 86)(77, 90)(79, 93)(80, 94)(85, 95)(87, 89)(88, 92)(91, 96)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.2533
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.2533 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 48})
Quotient :: regular
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T1^16, (T2 * T1^-1 * T2 * T1^-3)^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 72, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 75, 84, 81, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 74, 85, 83, 71, 59, 45, 30, 18, 9, 14)(15, 25, 35, 51, 64, 77, 86, 93, 90, 80, 68, 56, 42, 27, 16, 26)(23, 36, 50, 65, 76, 87, 92, 91, 82, 70, 58, 44, 29, 38, 24, 37)(39, 52, 66, 78, 88, 94, 96, 95, 89, 79, 67, 55, 41, 54, 40, 53)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 84)(75, 86)(77, 88)(80, 89)(81, 90)(85, 92)(87, 94)(91, 95)(93, 96)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2532
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.2534 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 48})
Quotient :: edge
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, T2^16, (T1 * T2^-1 * T1 * T2^-3)^12 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 69, 81, 72, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 63, 75, 86, 78, 66, 54, 38, 24, 14, 6)(7, 15, 26, 41, 56, 68, 80, 90, 83, 71, 59, 45, 30, 18, 9, 16)(11, 20, 33, 49, 62, 74, 85, 93, 88, 77, 65, 53, 37, 23, 13, 21)(25, 39, 55, 67, 79, 89, 95, 91, 82, 70, 58, 44, 29, 42, 27, 40)(32, 47, 61, 73, 84, 92, 96, 94, 87, 76, 64, 52, 36, 50, 34, 48)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 128)(117, 130)(118, 129)(119, 132)(120, 133)(124, 131)(127, 134)(135, 143)(136, 144)(137, 151)(138, 146)(139, 152)(140, 148)(141, 154)(142, 155)(145, 157)(147, 158)(149, 160)(150, 161)(153, 159)(156, 162)(163, 169)(164, 175)(165, 176)(166, 172)(167, 178)(168, 179)(170, 180)(171, 181)(173, 183)(174, 184)(177, 182)(185, 188)(186, 191)(187, 190)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2538
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.2535 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 48})
Quotient :: edge
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^2 * T1^2 * T2^-2 * T1^-2, T2^2 * T1^-1 * T2^-4 * T1^-1, T2^-1 * T1 * T2^-1 * T1^13, T1^-1 * T2^2 * T1^-1 * T2^44 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 85, 95, 84, 70, 54, 34, 21, 42, 60, 39, 20, 13, 28, 50, 64, 76, 88, 91, 81, 71, 59, 38, 18, 6, 17, 36, 57, 41, 30, 52, 66, 78, 90, 94, 80, 67, 55, 43, 33, 15, 5)(2, 7, 19, 40, 26, 49, 65, 74, 87, 96, 82, 68, 53, 37, 32, 45, 23, 9, 4, 12, 29, 48, 63, 77, 86, 93, 83, 72, 56, 35, 16, 14, 31, 46, 24, 11, 27, 51, 62, 75, 89, 92, 79, 69, 58, 44, 22, 8)(97, 98, 102, 112, 130, 149, 163, 175, 187, 182, 169, 161, 148, 123, 109, 100)(99, 105, 113, 104, 117, 131, 151, 164, 177, 188, 181, 173, 162, 145, 124, 107)(101, 110, 114, 133, 150, 165, 176, 189, 184, 170, 157, 147, 126, 108, 116, 103)(106, 120, 132, 119, 138, 118, 139, 152, 167, 178, 191, 185, 174, 159, 146, 122)(111, 128, 134, 154, 166, 179, 190, 183, 172, 158, 143, 125, 137, 115, 135, 127)(121, 136, 153, 142, 156, 141, 129, 140, 155, 168, 180, 192, 186, 171, 160, 144)
	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) :: { ( 4^16 ), ( 4^48 ) }
Outer automorphisms :: reflexible
Dual of E21.2539
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 16^6, 48^2 ]

E21.2536 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 48})
Quotient :: edge
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-3 * T2 * T1^3 * T2, T1^-7 * T2 * T1^-5 * T2 * T1^-4 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 48)(37, 47)(38, 50)(39, 54)(41, 57)(42, 58)(49, 59)(51, 60)(52, 63)(53, 66)(55, 69)(56, 70)(61, 72)(62, 71)(64, 73)(65, 78)(67, 81)(68, 82)(74, 84)(75, 83)(76, 86)(77, 90)(79, 93)(80, 94)(85, 95)(87, 89)(88, 92)(91, 96)(97, 98, 101, 107, 119, 135, 149, 161, 173, 185, 180, 168, 156, 144, 130, 142, 128, 112, 124, 139, 153, 165, 177, 189, 192, 191, 179, 167, 155, 143, 129, 113, 125, 140, 127, 141, 154, 166, 178, 190, 184, 172, 160, 148, 134, 118, 106, 100)(99, 103, 111, 120, 137, 152, 162, 175, 188, 183, 171, 159, 147, 133, 117, 126, 110, 102, 109, 123, 136, 151, 164, 174, 187, 182, 170, 158, 146, 132, 116, 105, 115, 122, 108, 121, 138, 150, 163, 176, 186, 181, 169, 157, 145, 131, 114, 104)
	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, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.2537
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.2537 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 48})
Quotient :: loop
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, T2^16, (T1 * T2^-1 * T1 * T2^-3)^12 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 17, 113, 28, 124, 43, 139, 57, 153, 69, 165, 81, 177, 72, 168, 60, 156, 46, 142, 31, 127, 19, 115, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 22, 118, 35, 131, 51, 147, 63, 159, 75, 171, 86, 182, 78, 174, 66, 162, 54, 150, 38, 134, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 26, 122, 41, 137, 56, 152, 68, 164, 80, 176, 90, 186, 83, 179, 71, 167, 59, 155, 45, 141, 30, 126, 18, 114, 9, 105, 16, 112)(11, 107, 20, 116, 33, 129, 49, 145, 62, 158, 74, 170, 85, 181, 93, 189, 88, 184, 77, 173, 65, 161, 53, 149, 37, 133, 23, 119, 13, 109, 21, 117)(25, 121, 39, 135, 55, 151, 67, 163, 79, 175, 89, 185, 95, 191, 91, 187, 82, 178, 70, 166, 58, 154, 44, 140, 29, 125, 42, 138, 27, 123, 40, 136)(32, 128, 47, 143, 61, 157, 73, 169, 84, 180, 92, 188, 96, 192, 94, 190, 87, 183, 76, 172, 64, 160, 52, 148, 36, 132, 50, 146, 34, 130, 48, 144)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 108)(9, 100)(10, 110)(11, 101)(12, 104)(13, 102)(14, 106)(15, 121)(16, 123)(17, 122)(18, 125)(19, 126)(20, 128)(21, 130)(22, 129)(23, 132)(24, 133)(25, 111)(26, 113)(27, 112)(28, 131)(29, 114)(30, 115)(31, 134)(32, 116)(33, 118)(34, 117)(35, 124)(36, 119)(37, 120)(38, 127)(39, 143)(40, 144)(41, 151)(42, 146)(43, 152)(44, 148)(45, 154)(46, 155)(47, 135)(48, 136)(49, 157)(50, 138)(51, 158)(52, 140)(53, 160)(54, 161)(55, 137)(56, 139)(57, 159)(58, 141)(59, 142)(60, 162)(61, 145)(62, 147)(63, 153)(64, 149)(65, 150)(66, 156)(67, 169)(68, 175)(69, 176)(70, 172)(71, 178)(72, 179)(73, 163)(74, 180)(75, 181)(76, 166)(77, 183)(78, 184)(79, 164)(80, 165)(81, 182)(82, 167)(83, 168)(84, 170)(85, 171)(86, 177)(87, 173)(88, 174)(89, 188)(90, 191)(91, 190)(92, 185)(93, 192)(94, 187)(95, 186)(96, 189)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2536
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.2538 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 48})
Quotient :: loop
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^2 * T1^2 * T2^-2 * T1^-2, T2^2 * T1^-1 * T2^-4 * T1^-1, T2^-1 * T1 * T2^-1 * T1^13, T1^-1 * T2^2 * T1^-1 * T2^44 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 25, 121, 47, 143, 61, 157, 73, 169, 85, 181, 95, 191, 84, 180, 70, 166, 54, 150, 34, 130, 21, 117, 42, 138, 60, 156, 39, 135, 20, 116, 13, 109, 28, 124, 50, 146, 64, 160, 76, 172, 88, 184, 91, 187, 81, 177, 71, 167, 59, 155, 38, 134, 18, 114, 6, 102, 17, 113, 36, 132, 57, 153, 41, 137, 30, 126, 52, 148, 66, 162, 78, 174, 90, 186, 94, 190, 80, 176, 67, 163, 55, 151, 43, 139, 33, 129, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 40, 136, 26, 122, 49, 145, 65, 161, 74, 170, 87, 183, 96, 192, 82, 178, 68, 164, 53, 149, 37, 133, 32, 128, 45, 141, 23, 119, 9, 105, 4, 100, 12, 108, 29, 125, 48, 144, 63, 159, 77, 173, 86, 182, 93, 189, 83, 179, 72, 168, 56, 152, 35, 131, 16, 112, 14, 110, 31, 127, 46, 142, 24, 120, 11, 107, 27, 123, 51, 147, 62, 158, 75, 171, 89, 185, 92, 188, 79, 175, 69, 165, 58, 154, 44, 140, 22, 118, 8, 104)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 113)(10, 120)(11, 99)(12, 116)(13, 100)(14, 114)(15, 128)(16, 130)(17, 104)(18, 133)(19, 135)(20, 103)(21, 131)(22, 139)(23, 138)(24, 132)(25, 136)(26, 106)(27, 109)(28, 107)(29, 137)(30, 108)(31, 111)(32, 134)(33, 140)(34, 149)(35, 151)(36, 119)(37, 150)(38, 154)(39, 127)(40, 153)(41, 115)(42, 118)(43, 152)(44, 155)(45, 129)(46, 156)(47, 125)(48, 121)(49, 124)(50, 122)(51, 126)(52, 123)(53, 163)(54, 165)(55, 164)(56, 167)(57, 142)(58, 166)(59, 168)(60, 141)(61, 147)(62, 143)(63, 146)(64, 144)(65, 148)(66, 145)(67, 175)(68, 177)(69, 176)(70, 179)(71, 178)(72, 180)(73, 161)(74, 157)(75, 160)(76, 158)(77, 162)(78, 159)(79, 187)(80, 189)(81, 188)(82, 191)(83, 190)(84, 192)(85, 173)(86, 169)(87, 172)(88, 170)(89, 174)(90, 171)(91, 182)(92, 181)(93, 184)(94, 183)(95, 185)(96, 186)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2534
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.2539 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 48})
Quotient :: loop
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-3 * T2 * T1^3 * T2, T1^-7 * T2 * T1^-5 * T2 * T1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 31, 127)(18, 114, 34, 130)(19, 115, 32, 128)(20, 116, 33, 129)(22, 118, 35, 131)(23, 119, 40, 136)(25, 121, 43, 139)(26, 122, 44, 140)(27, 123, 45, 141)(30, 126, 46, 142)(36, 132, 48, 144)(37, 133, 47, 143)(38, 134, 50, 146)(39, 135, 54, 150)(41, 137, 57, 153)(42, 138, 58, 154)(49, 145, 59, 155)(51, 147, 60, 156)(52, 148, 63, 159)(53, 149, 66, 162)(55, 151, 69, 165)(56, 152, 70, 166)(61, 157, 72, 168)(62, 158, 71, 167)(64, 160, 73, 169)(65, 161, 78, 174)(67, 163, 81, 177)(68, 164, 82, 178)(74, 170, 84, 180)(75, 171, 83, 179)(76, 172, 86, 182)(77, 173, 90, 186)(79, 175, 93, 189)(80, 176, 94, 190)(85, 181, 95, 191)(87, 183, 89, 185)(88, 184, 92, 188)(91, 187, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 120)(16, 124)(17, 125)(18, 104)(19, 122)(20, 105)(21, 126)(22, 106)(23, 135)(24, 137)(25, 138)(26, 108)(27, 136)(28, 139)(29, 140)(30, 110)(31, 141)(32, 112)(33, 113)(34, 142)(35, 114)(36, 116)(37, 117)(38, 118)(39, 149)(40, 151)(41, 152)(42, 150)(43, 153)(44, 127)(45, 154)(46, 128)(47, 129)(48, 130)(49, 131)(50, 132)(51, 133)(52, 134)(53, 161)(54, 163)(55, 164)(56, 162)(57, 165)(58, 166)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 173)(66, 175)(67, 176)(68, 174)(69, 177)(70, 178)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 185)(78, 187)(79, 188)(80, 186)(81, 189)(82, 190)(83, 167)(84, 168)(85, 169)(86, 170)(87, 171)(88, 172)(89, 180)(90, 181)(91, 182)(92, 183)(93, 192)(94, 184)(95, 179)(96, 191)
	local type(s) :: { ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2535
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^16, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 12, 108)(10, 106, 14, 110)(15, 111, 25, 121)(16, 112, 27, 123)(17, 113, 26, 122)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 34, 130)(22, 118, 33, 129)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 35, 131)(31, 127, 38, 134)(39, 135, 47, 143)(40, 136, 48, 144)(41, 137, 55, 151)(42, 138, 50, 146)(43, 139, 56, 152)(44, 140, 52, 148)(45, 141, 58, 154)(46, 142, 59, 155)(49, 145, 61, 157)(51, 147, 62, 158)(53, 149, 64, 160)(54, 150, 65, 161)(57, 153, 63, 159)(60, 156, 66, 162)(67, 163, 73, 169)(68, 164, 79, 175)(69, 165, 80, 176)(70, 166, 76, 172)(71, 167, 82, 178)(72, 168, 83, 179)(74, 170, 84, 180)(75, 171, 85, 181)(77, 173, 87, 183)(78, 174, 88, 184)(81, 177, 86, 182)(89, 185, 92, 188)(90, 186, 95, 191)(91, 187, 94, 190)(93, 189, 96, 192)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 235, 331, 249, 345, 261, 357, 273, 369, 264, 360, 252, 348, 238, 334, 223, 319, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 227, 323, 243, 339, 255, 351, 267, 363, 278, 374, 270, 366, 258, 354, 246, 342, 230, 326, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 218, 314, 233, 329, 248, 344, 260, 356, 272, 368, 282, 378, 275, 371, 263, 359, 251, 347, 237, 333, 222, 318, 210, 306, 201, 297, 208, 304)(203, 299, 212, 308, 225, 321, 241, 337, 254, 350, 266, 362, 277, 373, 285, 381, 280, 376, 269, 365, 257, 353, 245, 341, 229, 325, 215, 311, 205, 301, 213, 309)(217, 313, 231, 327, 247, 343, 259, 355, 271, 367, 281, 377, 287, 383, 283, 379, 274, 370, 262, 358, 250, 346, 236, 332, 221, 317, 234, 330, 219, 315, 232, 328)(224, 320, 239, 335, 253, 349, 265, 361, 276, 372, 284, 380, 288, 384, 286, 382, 279, 375, 268, 364, 256, 352, 244, 340, 228, 324, 242, 338, 226, 322, 240, 336)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 204)(9, 196)(10, 206)(11, 197)(12, 200)(13, 198)(14, 202)(15, 217)(16, 219)(17, 218)(18, 221)(19, 222)(20, 224)(21, 226)(22, 225)(23, 228)(24, 229)(25, 207)(26, 209)(27, 208)(28, 227)(29, 210)(30, 211)(31, 230)(32, 212)(33, 214)(34, 213)(35, 220)(36, 215)(37, 216)(38, 223)(39, 239)(40, 240)(41, 247)(42, 242)(43, 248)(44, 244)(45, 250)(46, 251)(47, 231)(48, 232)(49, 253)(50, 234)(51, 254)(52, 236)(53, 256)(54, 257)(55, 233)(56, 235)(57, 255)(58, 237)(59, 238)(60, 258)(61, 241)(62, 243)(63, 249)(64, 245)(65, 246)(66, 252)(67, 265)(68, 271)(69, 272)(70, 268)(71, 274)(72, 275)(73, 259)(74, 276)(75, 277)(76, 262)(77, 279)(78, 280)(79, 260)(80, 261)(81, 278)(82, 263)(83, 264)(84, 266)(85, 267)(86, 273)(87, 269)(88, 270)(89, 284)(90, 287)(91, 286)(92, 281)(93, 288)(94, 283)(95, 282)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.2543
Graph:: bipartite
	v = 54 e = 192 f = 98
	degree seq :: [ 4^48, 32^6 ]

E21.2541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y2^2 * Y1^2 * Y2^-2 * Y1^-2, Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2^-1 * Y1^13, Y1^-1 * Y2^2 * Y1^-1 * Y2^44 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 53, 149, 67, 163, 79, 175, 91, 187, 86, 182, 73, 169, 65, 161, 52, 148, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 55, 151, 68, 164, 81, 177, 92, 188, 85, 181, 77, 173, 66, 162, 49, 145, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 54, 150, 69, 165, 80, 176, 93, 189, 88, 184, 74, 170, 61, 157, 51, 147, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 56, 152, 71, 167, 82, 178, 95, 191, 89, 185, 78, 174, 63, 159, 50, 146, 26, 122)(15, 111, 32, 128, 38, 134, 58, 154, 70, 166, 83, 179, 94, 190, 87, 183, 76, 172, 62, 158, 47, 143, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 40, 136, 57, 153, 46, 142, 60, 156, 45, 141, 33, 129, 44, 140, 59, 155, 72, 168, 84, 180, 96, 192, 90, 186, 75, 171, 64, 160, 48, 144)(193, 289, 195, 291, 202, 298, 217, 313, 239, 335, 253, 349, 265, 361, 277, 373, 287, 383, 276, 372, 262, 358, 246, 342, 226, 322, 213, 309, 234, 330, 252, 348, 231, 327, 212, 308, 205, 301, 220, 316, 242, 338, 256, 352, 268, 364, 280, 376, 283, 379, 273, 369, 263, 359, 251, 347, 230, 326, 210, 306, 198, 294, 209, 305, 228, 324, 249, 345, 233, 329, 222, 318, 244, 340, 258, 354, 270, 366, 282, 378, 286, 382, 272, 368, 259, 355, 247, 343, 235, 331, 225, 321, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 232, 328, 218, 314, 241, 337, 257, 353, 266, 362, 279, 375, 288, 384, 274, 370, 260, 356, 245, 341, 229, 325, 224, 320, 237, 333, 215, 311, 201, 297, 196, 292, 204, 300, 221, 317, 240, 336, 255, 351, 269, 365, 278, 374, 285, 381, 275, 371, 264, 360, 248, 344, 227, 323, 208, 304, 206, 302, 223, 319, 238, 334, 216, 312, 203, 299, 219, 315, 243, 339, 254, 350, 267, 363, 281, 377, 284, 380, 271, 367, 261, 357, 250, 346, 236, 332, 214, 310, 200, 296)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 239)(26, 241)(27, 243)(28, 242)(29, 240)(30, 244)(31, 238)(32, 237)(33, 207)(34, 213)(35, 208)(36, 249)(37, 224)(38, 210)(39, 212)(40, 218)(41, 222)(42, 252)(43, 225)(44, 214)(45, 215)(46, 216)(47, 253)(48, 255)(49, 257)(50, 256)(51, 254)(52, 258)(53, 229)(54, 226)(55, 235)(56, 227)(57, 233)(58, 236)(59, 230)(60, 231)(61, 265)(62, 267)(63, 269)(64, 268)(65, 266)(66, 270)(67, 247)(68, 245)(69, 250)(70, 246)(71, 251)(72, 248)(73, 277)(74, 279)(75, 281)(76, 280)(77, 278)(78, 282)(79, 261)(80, 259)(81, 263)(82, 260)(83, 264)(84, 262)(85, 287)(86, 285)(87, 288)(88, 283)(89, 284)(90, 286)(91, 273)(92, 271)(93, 275)(94, 272)(95, 276)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E21.2542
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 32^6, 96^2 ]

E21.2542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y3^8 * Y2 * Y3^5 * Y2 * Y3^3, (Y3^-1 * Y1^-1)^48 ]
Map:: polytopal
	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)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 215, 311)(208, 304, 219, 315)(210, 306, 218, 314)(211, 307, 216, 312)(212, 308, 220, 316)(214, 310, 222, 318)(223, 319, 233, 329)(224, 320, 232, 328)(225, 321, 231, 327)(226, 322, 234, 330)(227, 323, 239, 335)(228, 324, 237, 333)(229, 325, 236, 332)(230, 326, 242, 338)(235, 331, 245, 341)(238, 334, 248, 344)(240, 336, 246, 342)(241, 337, 252, 348)(243, 339, 249, 345)(244, 340, 255, 351)(247, 343, 258, 354)(250, 346, 261, 357)(251, 347, 257, 353)(253, 349, 259, 355)(254, 350, 260, 356)(256, 352, 262, 358)(263, 359, 270, 366)(264, 360, 269, 365)(265, 361, 275, 371)(266, 362, 273, 369)(267, 363, 272, 368)(268, 364, 278, 374)(271, 367, 281, 377)(274, 370, 284, 380)(276, 372, 282, 378)(277, 373, 286, 382)(279, 375, 285, 381)(280, 376, 283, 379)(287, 383, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 225)(18, 227)(19, 226)(20, 201)(21, 224)(22, 202)(23, 231)(24, 203)(25, 233)(26, 235)(27, 234)(28, 205)(29, 232)(30, 206)(31, 239)(32, 208)(33, 240)(34, 209)(35, 241)(36, 212)(37, 213)(38, 214)(39, 245)(40, 216)(41, 246)(42, 217)(43, 247)(44, 220)(45, 221)(46, 222)(47, 251)(48, 252)(49, 253)(50, 228)(51, 229)(52, 230)(53, 257)(54, 258)(55, 259)(56, 236)(57, 237)(58, 238)(59, 263)(60, 264)(61, 265)(62, 242)(63, 243)(64, 244)(65, 269)(66, 270)(67, 271)(68, 248)(69, 249)(70, 250)(71, 275)(72, 276)(73, 277)(74, 254)(75, 255)(76, 256)(77, 281)(78, 282)(79, 283)(80, 260)(81, 261)(82, 262)(83, 287)(84, 286)(85, 285)(86, 266)(87, 267)(88, 268)(89, 288)(90, 280)(91, 279)(92, 272)(93, 273)(94, 274)(95, 278)(96, 284)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.2541
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.2543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1^3 * Y3 * Y1^-3, Y1^-7 * Y3 * Y1^-5 * Y3 * Y1^-4 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 39, 135, 53, 149, 65, 161, 77, 173, 89, 185, 84, 180, 72, 168, 60, 156, 48, 144, 34, 130, 46, 142, 32, 128, 16, 112, 28, 124, 43, 139, 57, 153, 69, 165, 81, 177, 93, 189, 96, 192, 95, 191, 83, 179, 71, 167, 59, 155, 47, 143, 33, 129, 17, 113, 29, 125, 44, 140, 31, 127, 45, 141, 58, 154, 70, 166, 82, 178, 94, 190, 88, 184, 76, 172, 64, 160, 52, 148, 38, 134, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 41, 137, 56, 152, 66, 162, 79, 175, 92, 188, 87, 183, 75, 171, 63, 159, 51, 147, 37, 133, 21, 117, 30, 126, 14, 110, 6, 102, 13, 109, 27, 123, 40, 136, 55, 151, 68, 164, 78, 174, 91, 187, 86, 182, 74, 170, 62, 158, 50, 146, 36, 132, 20, 116, 9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 42, 138, 54, 150, 67, 163, 80, 176, 90, 186, 85, 181, 73, 169, 61, 157, 49, 145, 35, 131, 18, 114, 8, 104)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 226)(19, 224)(20, 225)(21, 202)(22, 227)(23, 232)(24, 203)(25, 235)(26, 236)(27, 237)(28, 205)(29, 206)(30, 238)(31, 207)(32, 211)(33, 212)(34, 210)(35, 214)(36, 240)(37, 239)(38, 242)(39, 246)(40, 215)(41, 249)(42, 250)(43, 217)(44, 218)(45, 219)(46, 222)(47, 229)(48, 228)(49, 251)(50, 230)(51, 252)(52, 255)(53, 258)(54, 231)(55, 261)(56, 262)(57, 233)(58, 234)(59, 241)(60, 243)(61, 264)(62, 263)(63, 244)(64, 265)(65, 270)(66, 245)(67, 273)(68, 274)(69, 247)(70, 248)(71, 254)(72, 253)(73, 256)(74, 276)(75, 275)(76, 278)(77, 282)(78, 257)(79, 285)(80, 286)(81, 259)(82, 260)(83, 267)(84, 266)(85, 287)(86, 268)(87, 281)(88, 284)(89, 279)(90, 269)(91, 288)(92, 280)(93, 271)(94, 272)(95, 277)(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) :: { ( 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, 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, 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 E21.2540
Graph:: simple bipartite
	v = 98 e = 192 f = 54
	degree seq :: [ 2^96, 96^2 ]

E21.2544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-3 * Y1 * Y2^3 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, (Y2^-1 * R * Y2^-2)^2, Y2^-13 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 23, 119)(16, 112, 27, 123)(18, 114, 26, 122)(19, 115, 24, 120)(20, 116, 28, 124)(22, 118, 30, 126)(31, 127, 41, 137)(32, 128, 40, 136)(33, 129, 39, 135)(34, 130, 42, 138)(35, 131, 47, 143)(36, 132, 45, 141)(37, 133, 44, 140)(38, 134, 50, 146)(43, 139, 53, 149)(46, 142, 56, 152)(48, 144, 54, 150)(49, 145, 60, 156)(51, 147, 57, 153)(52, 148, 63, 159)(55, 151, 66, 162)(58, 154, 69, 165)(59, 155, 65, 161)(61, 157, 67, 163)(62, 158, 68, 164)(64, 160, 70, 166)(71, 167, 78, 174)(72, 168, 77, 173)(73, 169, 83, 179)(74, 170, 81, 177)(75, 171, 80, 176)(76, 172, 86, 182)(79, 175, 89, 185)(82, 178, 92, 188)(84, 180, 90, 186)(85, 181, 94, 190)(87, 183, 93, 189)(88, 184, 91, 187)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 227, 323, 241, 337, 253, 349, 265, 361, 277, 373, 285, 381, 273, 369, 261, 357, 249, 345, 237, 333, 221, 317, 232, 328, 216, 312, 203, 299, 215, 311, 231, 327, 245, 341, 257, 353, 269, 365, 281, 377, 288, 384, 284, 380, 272, 368, 260, 356, 248, 344, 236, 332, 220, 316, 205, 301, 219, 315, 234, 330, 217, 313, 233, 329, 246, 342, 258, 354, 270, 366, 282, 378, 280, 376, 268, 364, 256, 352, 244, 340, 230, 326, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 235, 331, 247, 343, 259, 355, 271, 367, 283, 379, 279, 375, 267, 363, 255, 351, 243, 339, 229, 325, 213, 309, 224, 320, 208, 304, 199, 295, 207, 303, 223, 319, 239, 335, 251, 347, 263, 359, 275, 371, 287, 383, 278, 374, 266, 362, 254, 350, 242, 338, 228, 324, 212, 308, 201, 297, 211, 307, 226, 322, 209, 305, 225, 321, 240, 336, 252, 348, 264, 360, 276, 372, 286, 382, 274, 370, 262, 358, 250, 346, 238, 334, 222, 318, 206, 302, 198, 294)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 215)(16, 219)(17, 200)(18, 218)(19, 216)(20, 220)(21, 202)(22, 222)(23, 207)(24, 211)(25, 204)(26, 210)(27, 208)(28, 212)(29, 206)(30, 214)(31, 233)(32, 232)(33, 231)(34, 234)(35, 239)(36, 237)(37, 236)(38, 242)(39, 225)(40, 224)(41, 223)(42, 226)(43, 245)(44, 229)(45, 228)(46, 248)(47, 227)(48, 246)(49, 252)(50, 230)(51, 249)(52, 255)(53, 235)(54, 240)(55, 258)(56, 238)(57, 243)(58, 261)(59, 257)(60, 241)(61, 259)(62, 260)(63, 244)(64, 262)(65, 251)(66, 247)(67, 253)(68, 254)(69, 250)(70, 256)(71, 270)(72, 269)(73, 275)(74, 273)(75, 272)(76, 278)(77, 264)(78, 263)(79, 281)(80, 267)(81, 266)(82, 284)(83, 265)(84, 282)(85, 286)(86, 268)(87, 285)(88, 283)(89, 271)(90, 276)(91, 280)(92, 274)(93, 279)(94, 277)(95, 288)(96, 287)(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, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2545
Graph:: bipartite
	v = 50 e = 192 f = 102
	degree seq :: [ 4^48, 96^2 ]

E21.2545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C16 x S3 (small group id <96, 4>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y3^2 * Y1^-1 * Y3^-4 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-4 * Y3 * Y1^-6, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 53, 149, 67, 163, 79, 175, 91, 187, 86, 182, 73, 169, 65, 161, 52, 148, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 55, 151, 68, 164, 81, 177, 92, 188, 85, 181, 77, 173, 66, 162, 49, 145, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 54, 150, 69, 165, 80, 176, 93, 189, 88, 184, 74, 170, 61, 157, 51, 147, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 56, 152, 71, 167, 82, 178, 95, 191, 89, 185, 78, 174, 63, 159, 50, 146, 26, 122)(15, 111, 32, 128, 38, 134, 58, 154, 70, 166, 83, 179, 94, 190, 87, 183, 76, 172, 62, 158, 47, 143, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 40, 136, 57, 153, 46, 142, 60, 156, 45, 141, 33, 129, 44, 140, 59, 155, 72, 168, 84, 180, 96, 192, 90, 186, 75, 171, 64, 160, 48, 144)(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, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 239)(26, 241)(27, 243)(28, 242)(29, 240)(30, 244)(31, 238)(32, 237)(33, 207)(34, 213)(35, 208)(36, 249)(37, 224)(38, 210)(39, 212)(40, 218)(41, 222)(42, 252)(43, 225)(44, 214)(45, 215)(46, 216)(47, 253)(48, 255)(49, 257)(50, 256)(51, 254)(52, 258)(53, 229)(54, 226)(55, 235)(56, 227)(57, 233)(58, 236)(59, 230)(60, 231)(61, 265)(62, 267)(63, 269)(64, 268)(65, 266)(66, 270)(67, 247)(68, 245)(69, 250)(70, 246)(71, 251)(72, 248)(73, 277)(74, 279)(75, 281)(76, 280)(77, 278)(78, 282)(79, 261)(80, 259)(81, 263)(82, 260)(83, 264)(84, 262)(85, 287)(86, 285)(87, 288)(88, 283)(89, 284)(90, 286)(91, 273)(92, 271)(93, 275)(94, 272)(95, 276)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 96 ), ( 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.2544
Graph:: simple bipartite
	v = 102 e = 192 f = 50
	degree seq :: [ 2^96, 32^6 ]

E21.2546 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 48})
Quotient :: regular
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^6 * T2 * T1 * T2 * T1, T1^-1 * T2 * T1^-1 * T2 * T1^-6, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1^3 * T2 * T1^-3)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 34, 17, 29, 49, 67, 83, 79, 59, 35, 53, 71, 87, 94, 91, 75, 60, 74, 90, 96, 92, 76, 56, 73, 89, 95, 93, 77, 57, 32, 52, 70, 86, 78, 58, 33, 16, 28, 48, 42, 22, 10, 4)(3, 7, 15, 31, 55, 38, 20, 9, 19, 37, 61, 80, 63, 40, 21, 39, 62, 81, 84, 65, 44, 41, 64, 82, 88, 68, 46, 24, 45, 66, 85, 72, 50, 26, 12, 25, 47, 69, 54, 30, 14, 6, 13, 27, 51, 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, 60)(37, 57)(38, 59)(39, 58)(40, 43)(42, 45)(46, 67)(47, 70)(50, 71)(51, 73)(54, 74)(55, 75)(61, 76)(62, 77)(63, 79)(64, 78)(65, 83)(66, 86)(68, 87)(69, 89)(72, 90)(80, 91)(81, 92)(82, 93)(84, 94)(85, 95)(88, 96)
	local type(s) :: { ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E21.2547
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 48 f = 6
	degree seq :: [ 48^2 ]

E21.2547 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 16, 48})
Quotient :: regular
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^16 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 82, 81, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 84, 93, 91, 79, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 83, 94, 92, 80, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 86, 95, 88, 96, 87, 78, 59, 42, 27, 16, 26)(23, 36, 50, 69, 85, 77, 90, 76, 89, 75, 62, 44, 29, 38, 24, 37)(39, 55, 70, 61, 74, 54, 73, 53, 72, 52, 71, 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, 69)(59, 71)(60, 78)(64, 79)(65, 83)(67, 85)(72, 87)(73, 88)(74, 86)(80, 89)(81, 92)(82, 93)(84, 95)(90, 94)(91, 96)
	local type(s) :: { ( 48^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2546
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 48 f = 2
	degree seq :: [ 16^6 ]

E21.2548 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 48})
Quotient :: edge
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^16 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 79, 91, 81, 64, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 70, 86, 95, 88, 74, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 77, 90, 93, 92, 80, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 68, 84, 94, 89, 96, 87, 73, 53, 37, 23, 13, 21)(25, 39, 56, 71, 85, 69, 83, 67, 82, 65, 62, 44, 29, 42, 27, 40)(32, 47, 66, 61, 78, 59, 76, 57, 75, 55, 72, 52, 36, 50, 34, 48)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 128)(117, 130)(118, 129)(119, 132)(120, 133)(124, 131)(127, 134)(135, 151)(136, 153)(137, 152)(138, 155)(139, 154)(140, 157)(141, 158)(142, 159)(143, 161)(144, 163)(145, 162)(146, 165)(147, 164)(148, 167)(149, 168)(150, 169)(156, 166)(160, 170)(171, 183)(172, 185)(173, 181)(174, 180)(175, 186)(176, 178)(177, 188)(179, 189)(182, 190)(184, 192)(187, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2552
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 96 f = 2
	degree seq :: [ 2^48, 16^6 ]

E21.2549 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 48})
Quotient :: edge
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1 * T2^-1, T2^3 * T1^-2 * T2^3, T2^2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^13 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 38, 18, 6, 17, 36, 60, 79, 57, 34, 21, 42, 65, 83, 91, 76, 58, 43, 66, 84, 94, 96, 92, 80, 64, 53, 73, 88, 93, 82, 63, 41, 30, 52, 72, 81, 62, 39, 20, 13, 28, 50, 33, 15, 5)(2, 7, 19, 40, 59, 35, 16, 14, 31, 54, 74, 77, 56, 37, 32, 55, 75, 89, 90, 78, 61, 48, 70, 87, 95, 86, 69, 47, 26, 49, 71, 85, 68, 46, 24, 11, 27, 51, 67, 45, 23, 9, 4, 12, 29, 44, 22, 8)(97, 98, 102, 112, 130, 152, 172, 186, 192, 191, 184, 167, 148, 123, 109, 100)(99, 105, 113, 104, 117, 131, 154, 173, 188, 185, 189, 183, 168, 145, 124, 107)(101, 110, 114, 133, 153, 174, 187, 182, 190, 181, 169, 147, 126, 108, 116, 103)(106, 120, 132, 119, 138, 118, 139, 155, 176, 170, 178, 171, 177, 166, 146, 122)(111, 128, 134, 157, 175, 165, 179, 164, 180, 163, 149, 125, 137, 115, 135, 127)(121, 143, 156, 142, 161, 141, 162, 140, 160, 136, 159, 150, 158, 151, 129, 144)
	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) :: { ( 4^16 ), ( 4^48 ) }
Outer automorphisms :: reflexible
Dual of E21.2553
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 16^6, 48^2 ]

E21.2550 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 16, 48})
Quotient :: edge
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^6 * T2 * T1 * T2 * T1, T1^-1 * T2 * T1^-1 * T2 * T1^-6, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1^3 * T2 * T1^-3)^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, 60)(37, 57)(38, 59)(39, 58)(40, 43)(42, 45)(46, 67)(47, 70)(50, 71)(51, 73)(54, 74)(55, 75)(61, 76)(62, 77)(63, 79)(64, 78)(65, 83)(66, 86)(68, 87)(69, 89)(72, 90)(80, 91)(81, 92)(82, 93)(84, 94)(85, 95)(88, 96)(97, 98, 101, 107, 119, 139, 130, 113, 125, 145, 163, 179, 175, 155, 131, 149, 167, 183, 190, 187, 171, 156, 170, 186, 192, 188, 172, 152, 169, 185, 191, 189, 173, 153, 128, 148, 166, 182, 174, 154, 129, 112, 124, 144, 138, 118, 106, 100)(99, 103, 111, 127, 151, 134, 116, 105, 115, 133, 157, 176, 159, 136, 117, 135, 158, 177, 180, 161, 140, 137, 160, 178, 184, 164, 142, 120, 141, 162, 181, 168, 146, 122, 108, 121, 143, 165, 150, 126, 110, 102, 109, 123, 147, 132, 114, 104)
	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, 32 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E21.2551
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 96 f = 6
	degree seq :: [ 2^48, 48^2 ]

E21.2551 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 48})
Quotient :: loop
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^-3 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^16 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 17, 113, 28, 124, 43, 139, 60, 156, 79, 175, 91, 187, 81, 177, 64, 160, 46, 142, 31, 127, 19, 115, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 22, 118, 35, 131, 51, 147, 70, 166, 86, 182, 95, 191, 88, 184, 74, 170, 54, 150, 38, 134, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 26, 122, 41, 137, 58, 154, 77, 173, 90, 186, 93, 189, 92, 188, 80, 176, 63, 159, 45, 141, 30, 126, 18, 114, 9, 105, 16, 112)(11, 107, 20, 116, 33, 129, 49, 145, 68, 164, 84, 180, 94, 190, 89, 185, 96, 192, 87, 183, 73, 169, 53, 149, 37, 133, 23, 119, 13, 109, 21, 117)(25, 121, 39, 135, 56, 152, 71, 167, 85, 181, 69, 165, 83, 179, 67, 163, 82, 178, 65, 161, 62, 158, 44, 140, 29, 125, 42, 138, 27, 123, 40, 136)(32, 128, 47, 143, 66, 162, 61, 157, 78, 174, 59, 155, 76, 172, 57, 153, 75, 171, 55, 151, 72, 168, 52, 148, 36, 132, 50, 146, 34, 130, 48, 144)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 108)(9, 100)(10, 110)(11, 101)(12, 104)(13, 102)(14, 106)(15, 121)(16, 123)(17, 122)(18, 125)(19, 126)(20, 128)(21, 130)(22, 129)(23, 132)(24, 133)(25, 111)(26, 113)(27, 112)(28, 131)(29, 114)(30, 115)(31, 134)(32, 116)(33, 118)(34, 117)(35, 124)(36, 119)(37, 120)(38, 127)(39, 151)(40, 153)(41, 152)(42, 155)(43, 154)(44, 157)(45, 158)(46, 159)(47, 161)(48, 163)(49, 162)(50, 165)(51, 164)(52, 167)(53, 168)(54, 169)(55, 135)(56, 137)(57, 136)(58, 139)(59, 138)(60, 166)(61, 140)(62, 141)(63, 142)(64, 170)(65, 143)(66, 145)(67, 144)(68, 147)(69, 146)(70, 156)(71, 148)(72, 149)(73, 150)(74, 160)(75, 183)(76, 185)(77, 181)(78, 180)(79, 186)(80, 178)(81, 188)(82, 176)(83, 189)(84, 174)(85, 173)(86, 190)(87, 171)(88, 192)(89, 172)(90, 175)(91, 191)(92, 177)(93, 179)(94, 182)(95, 187)(96, 184)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2550
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 96 f = 50
	degree seq :: [ 32^6 ]

E21.2552 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 48})
Quotient :: loop
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2^-1 * T1 * T2^-1, T2^3 * T1^-2 * T2^3, T2^2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-1 * T1^13 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 25, 121, 38, 134, 18, 114, 6, 102, 17, 113, 36, 132, 60, 156, 79, 175, 57, 153, 34, 130, 21, 117, 42, 138, 65, 161, 83, 179, 91, 187, 76, 172, 58, 154, 43, 139, 66, 162, 84, 180, 94, 190, 96, 192, 92, 188, 80, 176, 64, 160, 53, 149, 73, 169, 88, 184, 93, 189, 82, 178, 63, 159, 41, 137, 30, 126, 52, 148, 72, 168, 81, 177, 62, 158, 39, 135, 20, 116, 13, 109, 28, 124, 50, 146, 33, 129, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 40, 136, 59, 155, 35, 131, 16, 112, 14, 110, 31, 127, 54, 150, 74, 170, 77, 173, 56, 152, 37, 133, 32, 128, 55, 151, 75, 171, 89, 185, 90, 186, 78, 174, 61, 157, 48, 144, 70, 166, 87, 183, 95, 191, 86, 182, 69, 165, 47, 143, 26, 122, 49, 145, 71, 167, 85, 181, 68, 164, 46, 142, 24, 120, 11, 107, 27, 123, 51, 147, 67, 163, 45, 141, 23, 119, 9, 105, 4, 100, 12, 108, 29, 125, 44, 140, 22, 118, 8, 104)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 113)(10, 120)(11, 99)(12, 116)(13, 100)(14, 114)(15, 128)(16, 130)(17, 104)(18, 133)(19, 135)(20, 103)(21, 131)(22, 139)(23, 138)(24, 132)(25, 143)(26, 106)(27, 109)(28, 107)(29, 137)(30, 108)(31, 111)(32, 134)(33, 144)(34, 152)(35, 154)(36, 119)(37, 153)(38, 157)(39, 127)(40, 159)(41, 115)(42, 118)(43, 155)(44, 160)(45, 162)(46, 161)(47, 156)(48, 121)(49, 124)(50, 122)(51, 126)(52, 123)(53, 125)(54, 158)(55, 129)(56, 172)(57, 174)(58, 173)(59, 176)(60, 142)(61, 175)(62, 151)(63, 150)(64, 136)(65, 141)(66, 140)(67, 149)(68, 180)(69, 179)(70, 146)(71, 148)(72, 145)(73, 147)(74, 178)(75, 177)(76, 186)(77, 188)(78, 187)(79, 165)(80, 170)(81, 166)(82, 171)(83, 164)(84, 163)(85, 169)(86, 190)(87, 168)(88, 167)(89, 189)(90, 192)(91, 182)(92, 185)(93, 183)(94, 181)(95, 184)(96, 191)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2548
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 96 f = 54
	degree seq :: [ 96^2 ]

E21.2553 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 16, 48})
Quotient :: loop
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^6 * T2 * T1 * T2 * T1, T1^-1 * T2 * T1^-1 * T2 * T1^-6, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1^3 * T2 * T1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 32, 128)(18, 114, 35, 131)(19, 115, 33, 129)(20, 116, 34, 130)(22, 118, 41, 137)(23, 119, 44, 140)(25, 121, 48, 144)(26, 122, 49, 145)(27, 123, 52, 148)(30, 126, 53, 149)(31, 127, 56, 152)(36, 132, 60, 156)(37, 133, 57, 153)(38, 134, 59, 155)(39, 135, 58, 154)(40, 136, 43, 139)(42, 138, 45, 141)(46, 142, 67, 163)(47, 143, 70, 166)(50, 146, 71, 167)(51, 147, 73, 169)(54, 150, 74, 170)(55, 151, 75, 171)(61, 157, 76, 172)(62, 158, 77, 173)(63, 159, 79, 175)(64, 160, 78, 174)(65, 161, 83, 179)(66, 162, 86, 182)(68, 164, 87, 183)(69, 165, 89, 185)(72, 168, 90, 186)(80, 176, 91, 187)(81, 177, 92, 188)(82, 178, 93, 189)(84, 180, 94, 190)(85, 181, 95, 191)(88, 184, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 127)(16, 124)(17, 125)(18, 104)(19, 133)(20, 105)(21, 135)(22, 106)(23, 139)(24, 141)(25, 143)(26, 108)(27, 147)(28, 144)(29, 145)(30, 110)(31, 151)(32, 148)(33, 112)(34, 113)(35, 149)(36, 114)(37, 157)(38, 116)(39, 158)(40, 117)(41, 160)(42, 118)(43, 130)(44, 137)(45, 162)(46, 120)(47, 165)(48, 138)(49, 163)(50, 122)(51, 132)(52, 166)(53, 167)(54, 126)(55, 134)(56, 169)(57, 128)(58, 129)(59, 131)(60, 170)(61, 176)(62, 177)(63, 136)(64, 178)(65, 140)(66, 181)(67, 179)(68, 142)(69, 150)(70, 182)(71, 183)(72, 146)(73, 185)(74, 186)(75, 156)(76, 152)(77, 153)(78, 154)(79, 155)(80, 159)(81, 180)(82, 184)(83, 175)(84, 161)(85, 168)(86, 174)(87, 190)(88, 164)(89, 191)(90, 192)(91, 171)(92, 172)(93, 173)(94, 187)(95, 189)(96, 188)
	local type(s) :: { ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2549
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^16, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 12, 108)(10, 106, 14, 110)(15, 111, 25, 121)(16, 112, 27, 123)(17, 113, 26, 122)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 34, 130)(22, 118, 33, 129)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 35, 131)(31, 127, 38, 134)(39, 135, 55, 151)(40, 136, 57, 153)(41, 137, 56, 152)(42, 138, 59, 155)(43, 139, 58, 154)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 65, 161)(48, 144, 67, 163)(49, 145, 66, 162)(50, 146, 69, 165)(51, 147, 68, 164)(52, 148, 71, 167)(53, 149, 72, 168)(54, 150, 73, 169)(60, 156, 70, 166)(64, 160, 74, 170)(75, 171, 87, 183)(76, 172, 89, 185)(77, 173, 85, 181)(78, 174, 84, 180)(79, 175, 90, 186)(80, 176, 82, 178)(81, 177, 92, 188)(83, 179, 93, 189)(86, 182, 94, 190)(88, 184, 96, 192)(91, 187, 95, 191)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 235, 331, 252, 348, 271, 367, 283, 379, 273, 369, 256, 352, 238, 334, 223, 319, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 227, 323, 243, 339, 262, 358, 278, 374, 287, 383, 280, 376, 266, 362, 246, 342, 230, 326, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 218, 314, 233, 329, 250, 346, 269, 365, 282, 378, 285, 381, 284, 380, 272, 368, 255, 351, 237, 333, 222, 318, 210, 306, 201, 297, 208, 304)(203, 299, 212, 308, 225, 321, 241, 337, 260, 356, 276, 372, 286, 382, 281, 377, 288, 384, 279, 375, 265, 361, 245, 341, 229, 325, 215, 311, 205, 301, 213, 309)(217, 313, 231, 327, 248, 344, 263, 359, 277, 373, 261, 357, 275, 371, 259, 355, 274, 370, 257, 353, 254, 350, 236, 332, 221, 317, 234, 330, 219, 315, 232, 328)(224, 320, 239, 335, 258, 354, 253, 349, 270, 366, 251, 347, 268, 364, 249, 345, 267, 363, 247, 343, 264, 360, 244, 340, 228, 324, 242, 338, 226, 322, 240, 336)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 204)(9, 196)(10, 206)(11, 197)(12, 200)(13, 198)(14, 202)(15, 217)(16, 219)(17, 218)(18, 221)(19, 222)(20, 224)(21, 226)(22, 225)(23, 228)(24, 229)(25, 207)(26, 209)(27, 208)(28, 227)(29, 210)(30, 211)(31, 230)(32, 212)(33, 214)(34, 213)(35, 220)(36, 215)(37, 216)(38, 223)(39, 247)(40, 249)(41, 248)(42, 251)(43, 250)(44, 253)(45, 254)(46, 255)(47, 257)(48, 259)(49, 258)(50, 261)(51, 260)(52, 263)(53, 264)(54, 265)(55, 231)(56, 233)(57, 232)(58, 235)(59, 234)(60, 262)(61, 236)(62, 237)(63, 238)(64, 266)(65, 239)(66, 241)(67, 240)(68, 243)(69, 242)(70, 252)(71, 244)(72, 245)(73, 246)(74, 256)(75, 279)(76, 281)(77, 277)(78, 276)(79, 282)(80, 274)(81, 284)(82, 272)(83, 285)(84, 270)(85, 269)(86, 286)(87, 267)(88, 288)(89, 268)(90, 271)(91, 287)(92, 273)(93, 275)(94, 278)(95, 283)(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, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.2557
Graph:: bipartite
	v = 54 e = 192 f = 98
	degree seq :: [ 4^48, 32^6 ]

E21.2555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y2 * Y1^3 * Y2 * Y1^-1, Y2^5 * Y1^-2 * Y2, Y2^-3 * Y1^-2 * Y2^2 * Y1^-1 * Y2^-1 * Y1, Y2 * Y1^-3 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 56, 152, 76, 172, 90, 186, 96, 192, 95, 191, 88, 184, 71, 167, 52, 148, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 58, 154, 77, 173, 92, 188, 89, 185, 93, 189, 87, 183, 72, 168, 49, 145, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 57, 153, 78, 174, 91, 187, 86, 182, 94, 190, 85, 181, 73, 169, 51, 147, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 59, 155, 80, 176, 74, 170, 82, 178, 75, 171, 81, 177, 70, 166, 50, 146, 26, 122)(15, 111, 32, 128, 38, 134, 61, 157, 79, 175, 69, 165, 83, 179, 68, 164, 84, 180, 67, 163, 53, 149, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 47, 143, 60, 156, 46, 142, 65, 161, 45, 141, 66, 162, 44, 140, 64, 160, 40, 136, 63, 159, 54, 150, 62, 158, 55, 151, 33, 129, 48, 144)(193, 289, 195, 291, 202, 298, 217, 313, 230, 326, 210, 306, 198, 294, 209, 305, 228, 324, 252, 348, 271, 367, 249, 345, 226, 322, 213, 309, 234, 330, 257, 353, 275, 371, 283, 379, 268, 364, 250, 346, 235, 331, 258, 354, 276, 372, 286, 382, 288, 384, 284, 380, 272, 368, 256, 352, 245, 341, 265, 361, 280, 376, 285, 381, 274, 370, 255, 351, 233, 329, 222, 318, 244, 340, 264, 360, 273, 369, 254, 350, 231, 327, 212, 308, 205, 301, 220, 316, 242, 338, 225, 321, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 232, 328, 251, 347, 227, 323, 208, 304, 206, 302, 223, 319, 246, 342, 266, 362, 269, 365, 248, 344, 229, 325, 224, 320, 247, 343, 267, 363, 281, 377, 282, 378, 270, 366, 253, 349, 240, 336, 262, 358, 279, 375, 287, 383, 278, 374, 261, 357, 239, 335, 218, 314, 241, 337, 263, 359, 277, 373, 260, 356, 238, 334, 216, 312, 203, 299, 219, 315, 243, 339, 259, 355, 237, 333, 215, 311, 201, 297, 196, 292, 204, 300, 221, 317, 236, 332, 214, 310, 200, 296)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 230)(26, 241)(27, 243)(28, 242)(29, 236)(30, 244)(31, 246)(32, 247)(33, 207)(34, 213)(35, 208)(36, 252)(37, 224)(38, 210)(39, 212)(40, 251)(41, 222)(42, 257)(43, 258)(44, 214)(45, 215)(46, 216)(47, 218)(48, 262)(49, 263)(50, 225)(51, 259)(52, 264)(53, 265)(54, 266)(55, 267)(56, 229)(57, 226)(58, 235)(59, 227)(60, 271)(61, 240)(62, 231)(63, 233)(64, 245)(65, 275)(66, 276)(67, 237)(68, 238)(69, 239)(70, 279)(71, 277)(72, 273)(73, 280)(74, 269)(75, 281)(76, 250)(77, 248)(78, 253)(79, 249)(80, 256)(81, 254)(82, 255)(83, 283)(84, 286)(85, 260)(86, 261)(87, 287)(88, 285)(89, 282)(90, 270)(91, 268)(92, 272)(93, 274)(94, 288)(95, 278)(96, 284)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E21.2556
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 32^6, 96^2 ]

E21.2556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|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^-1 * Y2 * Y3^-1, Y2 * Y3^-7 * Y2 * Y3^-1, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, (Y3^3 * Y2 * Y3^-3 * Y2)^2, (Y3^-1 * Y1^-1)^48 ]
Map:: polytopal
	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)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 215, 311)(208, 304, 219, 315)(210, 306, 227, 323)(211, 307, 216, 312)(212, 308, 220, 316)(214, 310, 233, 329)(218, 314, 239, 335)(222, 318, 245, 341)(223, 319, 237, 333)(224, 320, 243, 339)(225, 321, 235, 331)(226, 322, 241, 337)(228, 324, 252, 348)(229, 325, 238, 334)(230, 326, 244, 340)(231, 327, 236, 332)(232, 328, 242, 338)(234, 330, 250, 346)(240, 336, 262, 358)(246, 342, 260, 356)(247, 343, 266, 362)(248, 344, 258, 354)(249, 345, 264, 360)(251, 347, 263, 359)(253, 349, 261, 357)(254, 350, 259, 355)(255, 351, 265, 361)(256, 352, 257, 353)(267, 363, 277, 373)(268, 364, 282, 378)(269, 365, 275, 371)(270, 366, 281, 377)(271, 367, 280, 376)(272, 368, 279, 375)(273, 369, 278, 374)(274, 370, 276, 372)(283, 379, 286, 382)(284, 380, 287, 383)(285, 381, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 225)(18, 228)(19, 229)(20, 201)(21, 231)(22, 202)(23, 235)(24, 203)(25, 237)(26, 240)(27, 241)(28, 205)(29, 243)(30, 206)(31, 246)(32, 208)(33, 248)(34, 209)(35, 250)(36, 242)(37, 253)(38, 212)(39, 254)(40, 213)(41, 256)(42, 214)(43, 234)(44, 216)(45, 258)(46, 217)(47, 260)(48, 230)(49, 263)(50, 220)(51, 264)(52, 221)(53, 266)(54, 222)(55, 224)(56, 267)(57, 226)(58, 269)(59, 227)(60, 233)(61, 272)(62, 273)(63, 232)(64, 274)(65, 236)(66, 275)(67, 238)(68, 277)(69, 239)(70, 245)(71, 280)(72, 281)(73, 244)(74, 282)(75, 247)(76, 249)(77, 283)(78, 251)(79, 252)(80, 255)(81, 285)(82, 284)(83, 257)(84, 259)(85, 286)(86, 261)(87, 262)(88, 265)(89, 288)(90, 287)(91, 268)(92, 270)(93, 271)(94, 276)(95, 278)(96, 279)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.2555
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.2557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|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^-7 * Y3 * Y1^-1 * Y3, Y1^-6 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3, (Y3 * Y1^3 * Y3 * Y1^-3)^2 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 34, 130, 17, 113, 29, 125, 49, 145, 67, 163, 83, 179, 79, 175, 59, 155, 35, 131, 53, 149, 71, 167, 87, 183, 94, 190, 91, 187, 75, 171, 60, 156, 74, 170, 90, 186, 96, 192, 92, 188, 76, 172, 56, 152, 73, 169, 89, 185, 95, 191, 93, 189, 77, 173, 57, 153, 32, 128, 52, 148, 70, 166, 86, 182, 78, 174, 58, 154, 33, 129, 16, 112, 28, 124, 48, 144, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 55, 151, 38, 134, 20, 116, 9, 105, 19, 115, 37, 133, 61, 157, 80, 176, 63, 159, 40, 136, 21, 117, 39, 135, 62, 158, 81, 177, 84, 180, 65, 161, 44, 140, 41, 137, 64, 160, 82, 178, 88, 184, 68, 164, 46, 142, 24, 120, 45, 141, 66, 162, 85, 181, 72, 168, 50, 146, 26, 122, 12, 108, 25, 121, 47, 143, 69, 165, 54, 150, 30, 126, 14, 110, 6, 102, 13, 109, 27, 123, 51, 147, 36, 132, 18, 114, 8, 104)(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, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 227)(19, 225)(20, 226)(21, 202)(22, 233)(23, 236)(24, 203)(25, 240)(26, 241)(27, 244)(28, 205)(29, 206)(30, 245)(31, 248)(32, 207)(33, 211)(34, 212)(35, 210)(36, 252)(37, 249)(38, 251)(39, 250)(40, 235)(41, 214)(42, 237)(43, 232)(44, 215)(45, 234)(46, 259)(47, 262)(48, 217)(49, 218)(50, 263)(51, 265)(52, 219)(53, 222)(54, 266)(55, 267)(56, 223)(57, 229)(58, 231)(59, 230)(60, 228)(61, 268)(62, 269)(63, 271)(64, 270)(65, 275)(66, 278)(67, 238)(68, 279)(69, 281)(70, 239)(71, 242)(72, 282)(73, 243)(74, 246)(75, 247)(76, 253)(77, 254)(78, 256)(79, 255)(80, 283)(81, 284)(82, 285)(83, 257)(84, 286)(85, 287)(86, 258)(87, 260)(88, 288)(89, 261)(90, 264)(91, 272)(92, 273)(93, 274)(94, 276)(95, 277)(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) :: { ( 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, 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, 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 E21.2554
Graph:: simple bipartite
	v = 98 e = 192 f = 54
	degree seq :: [ 2^96, 96^2 ]

E21.2558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|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, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-6, Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1, (Y2^3 * Y1 * Y2^-3 * Y1)^2, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 23, 119)(16, 112, 27, 123)(18, 114, 35, 131)(19, 115, 24, 120)(20, 116, 28, 124)(22, 118, 41, 137)(26, 122, 47, 143)(30, 126, 53, 149)(31, 127, 45, 141)(32, 128, 51, 147)(33, 129, 43, 139)(34, 130, 49, 145)(36, 132, 60, 156)(37, 133, 46, 142)(38, 134, 52, 148)(39, 135, 44, 140)(40, 136, 50, 146)(42, 138, 58, 154)(48, 144, 70, 166)(54, 150, 68, 164)(55, 151, 74, 170)(56, 152, 66, 162)(57, 153, 72, 168)(59, 155, 71, 167)(61, 157, 69, 165)(62, 158, 67, 163)(63, 159, 73, 169)(64, 160, 65, 161)(75, 171, 85, 181)(76, 172, 90, 186)(77, 173, 83, 179)(78, 174, 89, 185)(79, 175, 88, 184)(80, 176, 87, 183)(81, 177, 86, 182)(82, 178, 84, 180)(91, 187, 94, 190)(92, 188, 95, 191)(93, 189, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 242, 338, 220, 316, 205, 301, 219, 315, 241, 337, 263, 359, 280, 376, 265, 361, 244, 340, 221, 317, 243, 339, 264, 360, 281, 377, 288, 384, 279, 375, 262, 358, 245, 341, 266, 362, 282, 378, 287, 383, 278, 374, 261, 357, 239, 335, 260, 356, 277, 373, 286, 382, 276, 372, 259, 355, 238, 334, 217, 313, 237, 333, 258, 354, 275, 371, 257, 353, 236, 332, 216, 312, 203, 299, 215, 311, 235, 331, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 240, 336, 230, 326, 212, 308, 201, 297, 211, 307, 229, 325, 253, 349, 272, 368, 255, 351, 232, 328, 213, 309, 231, 327, 254, 350, 273, 369, 285, 381, 271, 367, 252, 348, 233, 329, 256, 352, 274, 370, 284, 380, 270, 366, 251, 347, 227, 323, 250, 346, 269, 365, 283, 379, 268, 364, 249, 345, 226, 322, 209, 305, 225, 321, 248, 344, 267, 363, 247, 343, 224, 320, 208, 304, 199, 295, 207, 303, 223, 319, 246, 342, 222, 318, 206, 302, 198, 294)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 215)(16, 219)(17, 200)(18, 227)(19, 216)(20, 220)(21, 202)(22, 233)(23, 207)(24, 211)(25, 204)(26, 239)(27, 208)(28, 212)(29, 206)(30, 245)(31, 237)(32, 243)(33, 235)(34, 241)(35, 210)(36, 252)(37, 238)(38, 244)(39, 236)(40, 242)(41, 214)(42, 250)(43, 225)(44, 231)(45, 223)(46, 229)(47, 218)(48, 262)(49, 226)(50, 232)(51, 224)(52, 230)(53, 222)(54, 260)(55, 266)(56, 258)(57, 264)(58, 234)(59, 263)(60, 228)(61, 261)(62, 259)(63, 265)(64, 257)(65, 256)(66, 248)(67, 254)(68, 246)(69, 253)(70, 240)(71, 251)(72, 249)(73, 255)(74, 247)(75, 277)(76, 282)(77, 275)(78, 281)(79, 280)(80, 279)(81, 278)(82, 276)(83, 269)(84, 274)(85, 267)(86, 273)(87, 272)(88, 271)(89, 270)(90, 268)(91, 286)(92, 287)(93, 288)(94, 283)(95, 284)(96, 285)(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, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2559
Graph:: bipartite
	v = 50 e = 192 f = 102
	degree seq :: [ 4^48, 96^2 ]

E21.2559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 16, 48})
Quotient :: dipole
Aut^+ = C48 : C2 (small group id <96, 5>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-6 * Y1, Y3^-3 * Y1^-2 * Y3^2 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^13, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 56, 152, 76, 172, 90, 186, 96, 192, 95, 191, 88, 184, 71, 167, 52, 148, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 58, 154, 77, 173, 92, 188, 89, 185, 93, 189, 87, 183, 72, 168, 49, 145, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 57, 153, 78, 174, 91, 187, 86, 182, 94, 190, 85, 181, 73, 169, 51, 147, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 59, 155, 80, 176, 74, 170, 82, 178, 75, 171, 81, 177, 70, 166, 50, 146, 26, 122)(15, 111, 32, 128, 38, 134, 61, 157, 79, 175, 69, 165, 83, 179, 68, 164, 84, 180, 67, 163, 53, 149, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 47, 143, 60, 156, 46, 142, 65, 161, 45, 141, 66, 162, 44, 140, 64, 160, 40, 136, 63, 159, 54, 150, 62, 158, 55, 151, 33, 129, 48, 144)(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, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 230)(26, 241)(27, 243)(28, 242)(29, 236)(30, 244)(31, 246)(32, 247)(33, 207)(34, 213)(35, 208)(36, 252)(37, 224)(38, 210)(39, 212)(40, 251)(41, 222)(42, 257)(43, 258)(44, 214)(45, 215)(46, 216)(47, 218)(48, 262)(49, 263)(50, 225)(51, 259)(52, 264)(53, 265)(54, 266)(55, 267)(56, 229)(57, 226)(58, 235)(59, 227)(60, 271)(61, 240)(62, 231)(63, 233)(64, 245)(65, 275)(66, 276)(67, 237)(68, 238)(69, 239)(70, 279)(71, 277)(72, 273)(73, 280)(74, 269)(75, 281)(76, 250)(77, 248)(78, 253)(79, 249)(80, 256)(81, 254)(82, 255)(83, 283)(84, 286)(85, 260)(86, 261)(87, 287)(88, 285)(89, 282)(90, 270)(91, 268)(92, 272)(93, 274)(94, 288)(95, 278)(96, 284)(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) :: { ( 4, 96 ), ( 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96, 4, 96 ) }
Outer automorphisms :: reflexible
Dual of E21.2558
Graph:: simple bipartite
	v = 102 e = 192 f = 50
	degree seq :: [ 2^96, 32^6 ]

E21.2560 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2)^5, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1)^10 ]
Map:: non-degenerate
	R = (1, 102, 2, 101)(3, 107, 7, 103)(4, 109, 9, 104)(5, 111, 11, 105)(6, 113, 13, 106)(8, 112, 12, 108)(10, 114, 14, 110)(15, 125, 25, 115)(16, 126, 26, 116)(17, 127, 27, 117)(18, 129, 29, 118)(19, 130, 30, 119)(20, 132, 32, 120)(21, 133, 33, 121)(22, 134, 34, 122)(23, 136, 36, 123)(24, 137, 37, 124)(28, 135, 35, 128)(31, 138, 38, 131)(39, 153, 53, 139)(40, 154, 54, 140)(41, 155, 55, 141)(42, 156, 56, 142)(43, 157, 57, 143)(44, 158, 58, 144)(45, 159, 59, 145)(46, 160, 60, 146)(47, 161, 61, 147)(48, 162, 62, 148)(49, 163, 63, 149)(50, 164, 64, 150)(51, 165, 65, 151)(52, 166, 66, 152)(67, 179, 79, 167)(68, 180, 80, 168)(69, 181, 81, 169)(70, 182, 82, 170)(71, 183, 83, 171)(72, 184, 84, 172)(73, 185, 85, 173)(74, 186, 86, 174)(75, 187, 87, 175)(76, 188, 88, 176)(77, 189, 89, 177)(78, 190, 90, 178)(91, 196, 96, 191)(92, 197, 97, 192)(93, 198, 98, 193)(94, 199, 99, 194)(95, 200, 100, 195)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 46)(33, 48)(35, 50)(36, 47)(37, 52)(42, 57)(44, 59)(49, 64)(51, 66)(53, 67)(54, 69)(55, 68)(56, 71)(58, 72)(60, 73)(61, 75)(62, 74)(63, 77)(65, 78)(70, 83)(76, 89)(79, 91)(80, 93)(81, 92)(82, 95)(84, 94)(85, 96)(86, 98)(87, 97)(88, 100)(90, 99)(101, 104)(102, 106)(103, 108)(105, 112)(107, 116)(109, 115)(110, 119)(111, 121)(113, 120)(114, 124)(117, 128)(118, 130)(122, 135)(123, 137)(125, 140)(126, 139)(127, 142)(129, 144)(131, 143)(132, 147)(133, 146)(134, 149)(136, 151)(138, 150)(141, 156)(145, 157)(148, 163)(152, 164)(153, 168)(154, 167)(155, 170)(158, 169)(159, 171)(160, 174)(161, 173)(162, 176)(165, 175)(166, 177)(172, 183)(178, 189)(179, 192)(180, 191)(181, 194)(182, 193)(184, 195)(185, 197)(186, 196)(187, 199)(188, 198)(190, 200)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2561
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 50 e = 100 f = 10
	degree seq :: [ 4^50 ]

E21.2561 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-3 * Y3 * Y2 * Y1^-1, Y3 * Y1^-2 * Y2 * Y3 * Y2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1^-1 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 102, 2, 106, 6, 118, 18, 113, 13, 125, 25, 110, 10, 122, 22, 117, 17, 105, 5, 101)(3, 109, 9, 127, 27, 135, 35, 120, 20, 114, 14, 104, 4, 112, 12, 119, 19, 111, 11, 103)(7, 121, 21, 115, 15, 133, 33, 134, 34, 126, 26, 108, 8, 124, 24, 116, 16, 123, 23, 107)(28, 141, 41, 130, 30, 145, 45, 132, 32, 144, 44, 129, 29, 143, 43, 131, 31, 142, 42, 128)(36, 146, 46, 138, 38, 150, 50, 140, 40, 149, 49, 137, 37, 148, 48, 139, 39, 147, 47, 136)(51, 161, 61, 153, 53, 165, 65, 155, 55, 164, 64, 152, 52, 163, 63, 154, 54, 162, 62, 151)(56, 166, 66, 158, 58, 170, 70, 160, 60, 169, 69, 157, 57, 168, 68, 159, 59, 167, 67, 156)(71, 181, 81, 173, 73, 185, 85, 175, 75, 184, 84, 172, 72, 183, 83, 174, 74, 182, 82, 171)(76, 186, 86, 178, 78, 190, 90, 180, 80, 189, 89, 177, 77, 188, 88, 179, 79, 187, 87, 176)(91, 198, 98, 193, 93, 200, 100, 195, 95, 197, 97, 192, 92, 199, 99, 194, 94, 196, 96, 191)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 32)(14, 29)(16, 18)(17, 27)(21, 36)(22, 34)(23, 38)(24, 40)(26, 37)(31, 35)(33, 39)(41, 51)(42, 53)(43, 55)(44, 52)(45, 54)(46, 56)(47, 58)(48, 60)(49, 57)(50, 59)(61, 71)(62, 73)(63, 75)(64, 72)(65, 74)(66, 76)(67, 78)(68, 80)(69, 77)(70, 79)(81, 91)(82, 93)(83, 95)(84, 92)(85, 94)(86, 96)(87, 98)(88, 100)(89, 97)(90, 99)(101, 104)(102, 108)(103, 110)(105, 116)(106, 120)(107, 122)(109, 129)(111, 131)(112, 128)(113, 127)(114, 130)(115, 125)(117, 119)(118, 134)(121, 137)(123, 139)(124, 136)(126, 138)(132, 135)(133, 140)(141, 152)(142, 154)(143, 151)(144, 153)(145, 155)(146, 157)(147, 159)(148, 156)(149, 158)(150, 160)(161, 172)(162, 174)(163, 171)(164, 173)(165, 175)(166, 177)(167, 179)(168, 176)(169, 178)(170, 180)(181, 192)(182, 194)(183, 191)(184, 193)(185, 195)(186, 197)(187, 199)(188, 196)(189, 198)(190, 200)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E21.2560
Transitivity :: VT+ AT
Graph:: bipartite
	v = 10 e = 100 f = 50
	degree seq :: [ 20^10 ]

E21.2562 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^5, (Y3 * Y2)^10, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 101, 4, 104)(2, 102, 6, 106)(3, 103, 8, 108)(5, 105, 12, 112)(7, 107, 16, 116)(9, 109, 18, 118)(10, 110, 19, 119)(11, 111, 21, 121)(13, 113, 23, 123)(14, 114, 24, 124)(15, 115, 26, 126)(17, 117, 28, 128)(20, 120, 33, 133)(22, 122, 35, 135)(25, 125, 39, 139)(27, 127, 41, 141)(29, 129, 43, 143)(30, 130, 44, 144)(31, 131, 45, 145)(32, 132, 46, 146)(34, 134, 48, 148)(36, 136, 50, 150)(37, 137, 51, 151)(38, 138, 52, 152)(40, 140, 53, 153)(42, 142, 55, 155)(47, 147, 60, 160)(49, 149, 62, 162)(54, 154, 67, 167)(56, 156, 69, 169)(57, 157, 70, 170)(58, 158, 71, 171)(59, 159, 72, 172)(61, 161, 73, 173)(63, 163, 75, 175)(64, 164, 76, 176)(65, 165, 77, 177)(66, 166, 78, 178)(68, 168, 79, 179)(74, 174, 85, 185)(80, 180, 91, 191)(81, 181, 92, 192)(82, 182, 93, 193)(83, 183, 94, 194)(84, 184, 95, 195)(86, 186, 96, 196)(87, 187, 97, 197)(88, 188, 98, 198)(89, 189, 99, 199)(90, 190, 100, 200)(201, 202)(203, 207)(204, 209)(205, 211)(206, 213)(208, 217)(210, 216)(212, 222)(214, 221)(215, 225)(218, 229)(219, 231)(220, 232)(223, 236)(224, 238)(226, 240)(227, 239)(228, 237)(230, 235)(233, 247)(234, 246)(241, 254)(242, 253)(243, 256)(244, 258)(245, 257)(248, 261)(249, 260)(250, 263)(251, 265)(252, 264)(255, 268)(259, 267)(262, 274)(266, 273)(269, 280)(270, 282)(271, 281)(272, 284)(275, 286)(276, 288)(277, 287)(278, 290)(279, 289)(283, 285)(291, 296)(292, 298)(293, 297)(294, 300)(295, 299)(301, 303)(302, 305)(304, 310)(306, 314)(307, 315)(308, 313)(309, 312)(311, 320)(316, 327)(317, 326)(318, 330)(319, 329)(321, 334)(322, 333)(323, 337)(324, 336)(325, 332)(328, 342)(331, 341)(335, 349)(338, 348)(339, 347)(340, 346)(343, 357)(344, 356)(345, 359)(350, 364)(351, 363)(352, 366)(353, 361)(354, 360)(355, 365)(358, 362)(367, 374)(368, 373)(369, 381)(370, 380)(371, 383)(372, 382)(375, 387)(376, 386)(377, 389)(378, 388)(379, 390)(384, 385)(391, 397)(392, 396)(393, 399)(394, 398)(395, 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) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2565
Graph:: simple bipartite
	v = 150 e = 200 f = 10
	degree seq :: [ 2^100, 4^50 ]

E21.2563 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3^-3 * Y1 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y3^-2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 101, 4, 104, 14, 114, 20, 120, 6, 106, 19, 119, 9, 109, 27, 127, 17, 117, 5, 105)(2, 102, 7, 107, 23, 123, 11, 111, 3, 103, 10, 110, 18, 118, 34, 134, 26, 126, 8, 108)(12, 112, 29, 129, 15, 115, 32, 132, 13, 113, 31, 131, 16, 116, 33, 133, 35, 135, 30, 130)(21, 121, 36, 136, 24, 124, 39, 139, 22, 122, 38, 138, 25, 125, 40, 140, 28, 128, 37, 137)(41, 141, 51, 151, 43, 143, 54, 154, 42, 142, 53, 153, 44, 144, 55, 155, 45, 145, 52, 152)(46, 146, 56, 156, 48, 148, 59, 159, 47, 147, 58, 158, 49, 149, 60, 160, 50, 150, 57, 157)(61, 161, 71, 171, 63, 163, 74, 174, 62, 162, 73, 173, 64, 164, 75, 175, 65, 165, 72, 172)(66, 166, 76, 176, 68, 168, 79, 179, 67, 167, 78, 178, 69, 169, 80, 180, 70, 170, 77, 177)(81, 181, 91, 191, 83, 183, 94, 194, 82, 182, 93, 193, 84, 184, 95, 195, 85, 185, 92, 192)(86, 186, 96, 196, 88, 188, 99, 199, 87, 187, 98, 198, 89, 189, 100, 200, 90, 190, 97, 197)(201, 202)(203, 209)(204, 212)(205, 215)(206, 218)(207, 221)(208, 224)(210, 225)(211, 228)(213, 227)(214, 226)(216, 219)(217, 223)(220, 235)(222, 234)(229, 241)(230, 243)(231, 244)(232, 245)(233, 242)(236, 246)(237, 248)(238, 249)(239, 250)(240, 247)(251, 261)(252, 263)(253, 264)(254, 265)(255, 262)(256, 266)(257, 268)(258, 269)(259, 270)(260, 267)(271, 281)(272, 283)(273, 284)(274, 285)(275, 282)(276, 286)(277, 288)(278, 289)(279, 290)(280, 287)(291, 297)(292, 296)(293, 298)(294, 300)(295, 299)(301, 303)(302, 306)(304, 313)(305, 316)(307, 322)(308, 325)(309, 326)(310, 321)(311, 324)(312, 319)(314, 323)(315, 320)(317, 318)(327, 335)(328, 334)(329, 342)(330, 344)(331, 341)(332, 343)(333, 345)(336, 347)(337, 349)(338, 346)(339, 348)(340, 350)(351, 362)(352, 364)(353, 361)(354, 363)(355, 365)(356, 367)(357, 369)(358, 366)(359, 368)(360, 370)(371, 382)(372, 384)(373, 381)(374, 383)(375, 385)(376, 387)(377, 389)(378, 386)(379, 388)(380, 390)(391, 399)(392, 398)(393, 397)(394, 396)(395, 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) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E21.2564
Graph:: simple bipartite
	v = 110 e = 200 f = 50
	degree seq :: [ 2^100, 20^10 ]

E21.2564 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^5, (Y3 * Y2)^10, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 101, 201, 301, 4, 104, 204, 304)(2, 102, 202, 302, 6, 106, 206, 306)(3, 103, 203, 303, 8, 108, 208, 308)(5, 105, 205, 305, 12, 112, 212, 312)(7, 107, 207, 307, 16, 116, 216, 316)(9, 109, 209, 309, 18, 118, 218, 318)(10, 110, 210, 310, 19, 119, 219, 319)(11, 111, 211, 311, 21, 121, 221, 321)(13, 113, 213, 313, 23, 123, 223, 323)(14, 114, 214, 314, 24, 124, 224, 324)(15, 115, 215, 315, 26, 126, 226, 326)(17, 117, 217, 317, 28, 128, 228, 328)(20, 120, 220, 320, 33, 133, 233, 333)(22, 122, 222, 322, 35, 135, 235, 335)(25, 125, 225, 325, 39, 139, 239, 339)(27, 127, 227, 327, 41, 141, 241, 341)(29, 129, 229, 329, 43, 143, 243, 343)(30, 130, 230, 330, 44, 144, 244, 344)(31, 131, 231, 331, 45, 145, 245, 345)(32, 132, 232, 332, 46, 146, 246, 346)(34, 134, 234, 334, 48, 148, 248, 348)(36, 136, 236, 336, 50, 150, 250, 350)(37, 137, 237, 337, 51, 151, 251, 351)(38, 138, 238, 338, 52, 152, 252, 352)(40, 140, 240, 340, 53, 153, 253, 353)(42, 142, 242, 342, 55, 155, 255, 355)(47, 147, 247, 347, 60, 160, 260, 360)(49, 149, 249, 349, 62, 162, 262, 362)(54, 154, 254, 354, 67, 167, 267, 367)(56, 156, 256, 356, 69, 169, 269, 369)(57, 157, 257, 357, 70, 170, 270, 370)(58, 158, 258, 358, 71, 171, 271, 371)(59, 159, 259, 359, 72, 172, 272, 372)(61, 161, 261, 361, 73, 173, 273, 373)(63, 163, 263, 363, 75, 175, 275, 375)(64, 164, 264, 364, 76, 176, 276, 376)(65, 165, 265, 365, 77, 177, 277, 377)(66, 166, 266, 366, 78, 178, 278, 378)(68, 168, 268, 368, 79, 179, 279, 379)(74, 174, 274, 374, 85, 185, 285, 385)(80, 180, 280, 380, 91, 191, 291, 391)(81, 181, 281, 381, 92, 192, 292, 392)(82, 182, 282, 382, 93, 193, 293, 393)(83, 183, 283, 383, 94, 194, 294, 394)(84, 184, 284, 384, 95, 195, 295, 395)(86, 186, 286, 386, 96, 196, 296, 396)(87, 187, 287, 387, 97, 197, 297, 397)(88, 188, 288, 388, 98, 198, 298, 398)(89, 189, 289, 389, 99, 199, 299, 399)(90, 190, 290, 390, 100, 200, 300, 400)
	L = (1, 102)(2, 101)(3, 107)(4, 109)(5, 111)(6, 113)(7, 103)(8, 117)(9, 104)(10, 116)(11, 105)(12, 122)(13, 106)(14, 121)(15, 125)(16, 110)(17, 108)(18, 129)(19, 131)(20, 132)(21, 114)(22, 112)(23, 136)(24, 138)(25, 115)(26, 140)(27, 139)(28, 137)(29, 118)(30, 135)(31, 119)(32, 120)(33, 147)(34, 146)(35, 130)(36, 123)(37, 128)(38, 124)(39, 127)(40, 126)(41, 154)(42, 153)(43, 156)(44, 158)(45, 157)(46, 134)(47, 133)(48, 161)(49, 160)(50, 163)(51, 165)(52, 164)(53, 142)(54, 141)(55, 168)(56, 143)(57, 145)(58, 144)(59, 167)(60, 149)(61, 148)(62, 174)(63, 150)(64, 152)(65, 151)(66, 173)(67, 159)(68, 155)(69, 180)(70, 182)(71, 181)(72, 184)(73, 166)(74, 162)(75, 186)(76, 188)(77, 187)(78, 190)(79, 189)(80, 169)(81, 171)(82, 170)(83, 185)(84, 172)(85, 183)(86, 175)(87, 177)(88, 176)(89, 179)(90, 178)(91, 196)(92, 198)(93, 197)(94, 200)(95, 199)(96, 191)(97, 193)(98, 192)(99, 195)(100, 194)(201, 303)(202, 305)(203, 301)(204, 310)(205, 302)(206, 314)(207, 315)(208, 313)(209, 312)(210, 304)(211, 320)(212, 309)(213, 308)(214, 306)(215, 307)(216, 327)(217, 326)(218, 330)(219, 329)(220, 311)(221, 334)(222, 333)(223, 337)(224, 336)(225, 332)(226, 317)(227, 316)(228, 342)(229, 319)(230, 318)(231, 341)(232, 325)(233, 322)(234, 321)(235, 349)(236, 324)(237, 323)(238, 348)(239, 347)(240, 346)(241, 331)(242, 328)(243, 357)(244, 356)(245, 359)(246, 340)(247, 339)(248, 338)(249, 335)(250, 364)(251, 363)(252, 366)(253, 361)(254, 360)(255, 365)(256, 344)(257, 343)(258, 362)(259, 345)(260, 354)(261, 353)(262, 358)(263, 351)(264, 350)(265, 355)(266, 352)(267, 374)(268, 373)(269, 381)(270, 380)(271, 383)(272, 382)(273, 368)(274, 367)(275, 387)(276, 386)(277, 389)(278, 388)(279, 390)(280, 370)(281, 369)(282, 372)(283, 371)(284, 385)(285, 384)(286, 376)(287, 375)(288, 378)(289, 377)(290, 379)(291, 397)(292, 396)(293, 399)(294, 398)(295, 400)(296, 392)(297, 391)(298, 394)(299, 393)(300, 395)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.2563
Transitivity :: VT+
Graph:: bipartite
	v = 50 e = 200 f = 110
	degree seq :: [ 8^50 ]

E21.2565 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3^-3 * Y1 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, (Y3^-2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 101, 201, 301, 4, 104, 204, 304, 14, 114, 214, 314, 20, 120, 220, 320, 6, 106, 206, 306, 19, 119, 219, 319, 9, 109, 209, 309, 27, 127, 227, 327, 17, 117, 217, 317, 5, 105, 205, 305)(2, 102, 202, 302, 7, 107, 207, 307, 23, 123, 223, 323, 11, 111, 211, 311, 3, 103, 203, 303, 10, 110, 210, 310, 18, 118, 218, 318, 34, 134, 234, 334, 26, 126, 226, 326, 8, 108, 208, 308)(12, 112, 212, 312, 29, 129, 229, 329, 15, 115, 215, 315, 32, 132, 232, 332, 13, 113, 213, 313, 31, 131, 231, 331, 16, 116, 216, 316, 33, 133, 233, 333, 35, 135, 235, 335, 30, 130, 230, 330)(21, 121, 221, 321, 36, 136, 236, 336, 24, 124, 224, 324, 39, 139, 239, 339, 22, 122, 222, 322, 38, 138, 238, 338, 25, 125, 225, 325, 40, 140, 240, 340, 28, 128, 228, 328, 37, 137, 237, 337)(41, 141, 241, 341, 51, 151, 251, 351, 43, 143, 243, 343, 54, 154, 254, 354, 42, 142, 242, 342, 53, 153, 253, 353, 44, 144, 244, 344, 55, 155, 255, 355, 45, 145, 245, 345, 52, 152, 252, 352)(46, 146, 246, 346, 56, 156, 256, 356, 48, 148, 248, 348, 59, 159, 259, 359, 47, 147, 247, 347, 58, 158, 258, 358, 49, 149, 249, 349, 60, 160, 260, 360, 50, 150, 250, 350, 57, 157, 257, 357)(61, 161, 261, 361, 71, 171, 271, 371, 63, 163, 263, 363, 74, 174, 274, 374, 62, 162, 262, 362, 73, 173, 273, 373, 64, 164, 264, 364, 75, 175, 275, 375, 65, 165, 265, 365, 72, 172, 272, 372)(66, 166, 266, 366, 76, 176, 276, 376, 68, 168, 268, 368, 79, 179, 279, 379, 67, 167, 267, 367, 78, 178, 278, 378, 69, 169, 269, 369, 80, 180, 280, 380, 70, 170, 270, 370, 77, 177, 277, 377)(81, 181, 281, 381, 91, 191, 291, 391, 83, 183, 283, 383, 94, 194, 294, 394, 82, 182, 282, 382, 93, 193, 293, 393, 84, 184, 284, 384, 95, 195, 295, 395, 85, 185, 285, 385, 92, 192, 292, 392)(86, 186, 286, 386, 96, 196, 296, 396, 88, 188, 288, 388, 99, 199, 299, 399, 87, 187, 287, 387, 98, 198, 298, 398, 89, 189, 289, 389, 100, 200, 300, 400, 90, 190, 290, 390, 97, 197, 297, 397)
	L = (1, 102)(2, 101)(3, 109)(4, 112)(5, 115)(6, 118)(7, 121)(8, 124)(9, 103)(10, 125)(11, 128)(12, 104)(13, 127)(14, 126)(15, 105)(16, 119)(17, 123)(18, 106)(19, 116)(20, 135)(21, 107)(22, 134)(23, 117)(24, 108)(25, 110)(26, 114)(27, 113)(28, 111)(29, 141)(30, 143)(31, 144)(32, 145)(33, 142)(34, 122)(35, 120)(36, 146)(37, 148)(38, 149)(39, 150)(40, 147)(41, 129)(42, 133)(43, 130)(44, 131)(45, 132)(46, 136)(47, 140)(48, 137)(49, 138)(50, 139)(51, 161)(52, 163)(53, 164)(54, 165)(55, 162)(56, 166)(57, 168)(58, 169)(59, 170)(60, 167)(61, 151)(62, 155)(63, 152)(64, 153)(65, 154)(66, 156)(67, 160)(68, 157)(69, 158)(70, 159)(71, 181)(72, 183)(73, 184)(74, 185)(75, 182)(76, 186)(77, 188)(78, 189)(79, 190)(80, 187)(81, 171)(82, 175)(83, 172)(84, 173)(85, 174)(86, 176)(87, 180)(88, 177)(89, 178)(90, 179)(91, 197)(92, 196)(93, 198)(94, 200)(95, 199)(96, 192)(97, 191)(98, 193)(99, 195)(100, 194)(201, 303)(202, 306)(203, 301)(204, 313)(205, 316)(206, 302)(207, 322)(208, 325)(209, 326)(210, 321)(211, 324)(212, 319)(213, 304)(214, 323)(215, 320)(216, 305)(217, 318)(218, 317)(219, 312)(220, 315)(221, 310)(222, 307)(223, 314)(224, 311)(225, 308)(226, 309)(227, 335)(228, 334)(229, 342)(230, 344)(231, 341)(232, 343)(233, 345)(234, 328)(235, 327)(236, 347)(237, 349)(238, 346)(239, 348)(240, 350)(241, 331)(242, 329)(243, 332)(244, 330)(245, 333)(246, 338)(247, 336)(248, 339)(249, 337)(250, 340)(251, 362)(252, 364)(253, 361)(254, 363)(255, 365)(256, 367)(257, 369)(258, 366)(259, 368)(260, 370)(261, 353)(262, 351)(263, 354)(264, 352)(265, 355)(266, 358)(267, 356)(268, 359)(269, 357)(270, 360)(271, 382)(272, 384)(273, 381)(274, 383)(275, 385)(276, 387)(277, 389)(278, 386)(279, 388)(280, 390)(281, 373)(282, 371)(283, 374)(284, 372)(285, 375)(286, 378)(287, 376)(288, 379)(289, 377)(290, 380)(291, 399)(292, 398)(293, 397)(294, 396)(295, 400)(296, 394)(297, 393)(298, 392)(299, 391)(300, 395)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2562
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 200 f = 150
	degree seq :: [ 40^10 ]

E21.2566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y1 * Y3 * Y2)^5, (Y3 * Y1)^10 ]
Map:: polytopal non-degenerate
	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, 23, 123)(14, 114, 21, 121)(16, 116, 19, 119)(17, 117, 28, 128)(18, 118, 29, 129)(22, 122, 34, 134)(24, 124, 37, 137)(25, 125, 36, 136)(26, 126, 39, 139)(27, 127, 40, 140)(30, 130, 44, 144)(31, 131, 43, 143)(32, 132, 46, 146)(33, 133, 47, 147)(35, 135, 49, 149)(38, 138, 53, 153)(41, 141, 57, 157)(42, 142, 58, 158)(45, 145, 62, 162)(48, 148, 66, 166)(50, 150, 69, 169)(51, 151, 68, 168)(52, 152, 64, 164)(54, 154, 73, 173)(55, 155, 61, 161)(56, 156, 75, 175)(59, 159, 79, 179)(60, 160, 78, 178)(63, 163, 81, 181)(65, 165, 83, 183)(67, 167, 85, 185)(70, 170, 74, 174)(71, 171, 88, 188)(72, 172, 89, 189)(76, 176, 92, 192)(77, 177, 93, 193)(80, 180, 82, 182)(84, 184, 96, 196)(86, 186, 91, 191)(87, 187, 98, 198)(90, 190, 99, 199)(94, 194, 95, 195)(97, 197, 100, 200)(201, 301, 203, 303)(202, 302, 205, 305)(204, 304, 208, 308)(206, 306, 211, 311)(207, 307, 213, 313)(209, 309, 216, 316)(210, 310, 218, 318)(212, 312, 221, 321)(214, 314, 224, 324)(215, 315, 225, 325)(217, 317, 227, 327)(219, 319, 230, 330)(220, 320, 231, 331)(222, 322, 233, 333)(223, 323, 235, 335)(226, 326, 238, 338)(228, 328, 239, 339)(229, 329, 242, 342)(232, 332, 245, 345)(234, 334, 246, 346)(236, 336, 250, 350)(237, 337, 251, 351)(240, 340, 255, 355)(241, 341, 254, 354)(243, 343, 259, 359)(244, 344, 260, 360)(247, 347, 264, 364)(248, 348, 263, 363)(249, 349, 267, 367)(252, 352, 270, 370)(253, 353, 271, 371)(256, 356, 274, 374)(257, 357, 275, 375)(258, 358, 277, 377)(261, 361, 280, 380)(262, 362, 272, 372)(265, 365, 282, 382)(266, 366, 283, 383)(268, 368, 286, 386)(269, 369, 287, 387)(273, 373, 289, 389)(276, 376, 291, 391)(278, 378, 294, 394)(279, 379, 290, 390)(281, 381, 288, 388)(284, 384, 295, 395)(285, 385, 297, 397)(292, 392, 299, 399)(293, 393, 300, 400)(296, 396, 298, 398)
	L = (1, 204)(2, 206)(3, 208)(4, 201)(5, 211)(6, 202)(7, 214)(8, 203)(9, 217)(10, 219)(11, 205)(12, 222)(13, 224)(14, 207)(15, 226)(16, 227)(17, 209)(18, 230)(19, 210)(20, 232)(21, 233)(22, 212)(23, 236)(24, 213)(25, 238)(26, 215)(27, 216)(28, 241)(29, 243)(30, 218)(31, 245)(32, 220)(33, 221)(34, 248)(35, 250)(36, 223)(37, 252)(38, 225)(39, 254)(40, 256)(41, 228)(42, 259)(43, 229)(44, 261)(45, 231)(46, 263)(47, 265)(48, 234)(49, 268)(50, 235)(51, 270)(52, 237)(53, 272)(54, 239)(55, 274)(56, 240)(57, 276)(58, 278)(59, 242)(60, 280)(61, 244)(62, 271)(63, 246)(64, 282)(65, 247)(66, 284)(67, 286)(68, 249)(69, 288)(70, 251)(71, 262)(72, 253)(73, 290)(74, 255)(75, 291)(76, 257)(77, 294)(78, 258)(79, 289)(80, 260)(81, 287)(82, 264)(83, 295)(84, 266)(85, 298)(86, 267)(87, 281)(88, 269)(89, 279)(90, 273)(91, 275)(92, 300)(93, 299)(94, 277)(95, 283)(96, 297)(97, 296)(98, 285)(99, 293)(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) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.2570
Graph:: simple bipartite
	v = 100 e = 200 f = 60
	degree seq :: [ 4^100 ]

E21.2567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, Y3^10, Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y3^3 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 101, 2, 102)(3, 103, 9, 109)(4, 104, 12, 112)(5, 105, 14, 114)(6, 106, 16, 116)(7, 107, 19, 119)(8, 108, 21, 121)(10, 110, 24, 124)(11, 111, 26, 126)(13, 113, 22, 122)(15, 115, 20, 120)(17, 117, 34, 134)(18, 118, 36, 136)(23, 123, 37, 137)(25, 125, 43, 143)(27, 127, 33, 133)(28, 128, 50, 150)(29, 129, 51, 151)(30, 130, 52, 152)(31, 131, 54, 154)(32, 132, 44, 144)(35, 135, 56, 156)(38, 138, 63, 163)(39, 139, 64, 164)(40, 140, 65, 165)(41, 141, 67, 167)(42, 142, 57, 157)(45, 145, 71, 171)(46, 146, 72, 172)(47, 147, 73, 173)(48, 148, 75, 175)(49, 149, 76, 176)(53, 153, 68, 168)(55, 155, 66, 166)(58, 158, 78, 178)(59, 159, 80, 180)(60, 160, 86, 186)(61, 161, 79, 179)(62, 162, 83, 183)(69, 169, 88, 188)(70, 170, 91, 191)(74, 174, 87, 187)(77, 177, 84, 184)(81, 181, 95, 195)(82, 182, 92, 192)(85, 185, 96, 196)(89, 189, 93, 193)(90, 190, 97, 197)(94, 194, 99, 199)(98, 198, 100, 200)(201, 301, 203, 303)(202, 302, 206, 306)(204, 304, 211, 311)(205, 305, 210, 310)(207, 307, 218, 318)(208, 308, 217, 317)(209, 309, 220, 320)(212, 312, 227, 327)(213, 313, 216, 316)(214, 314, 226, 326)(215, 315, 225, 325)(219, 319, 237, 337)(221, 321, 236, 336)(222, 322, 235, 335)(223, 323, 240, 340)(224, 324, 244, 344)(228, 328, 248, 348)(229, 329, 249, 349)(230, 330, 233, 333)(231, 331, 245, 345)(232, 332, 247, 347)(234, 334, 257, 357)(238, 338, 261, 361)(239, 339, 262, 362)(241, 341, 258, 358)(242, 342, 260, 360)(243, 343, 266, 366)(246, 346, 270, 370)(250, 350, 271, 371)(251, 351, 275, 375)(252, 352, 277, 377)(253, 353, 256, 356)(254, 354, 272, 372)(255, 355, 274, 374)(259, 359, 285, 385)(263, 363, 278, 378)(264, 364, 279, 379)(265, 365, 288, 388)(267, 367, 280, 380)(268, 368, 287, 387)(269, 369, 290, 390)(273, 373, 292, 392)(276, 376, 295, 395)(281, 381, 294, 394)(282, 382, 284, 384)(283, 383, 293, 393)(286, 386, 297, 397)(289, 389, 298, 398)(291, 391, 299, 399)(296, 396, 300, 400)
	L = (1, 204)(2, 207)(3, 210)(4, 213)(5, 201)(6, 217)(7, 220)(8, 202)(9, 218)(10, 225)(11, 203)(12, 228)(13, 230)(14, 231)(15, 205)(16, 211)(17, 235)(18, 206)(19, 238)(20, 240)(21, 241)(22, 208)(23, 209)(24, 245)(25, 247)(26, 248)(27, 249)(28, 214)(29, 212)(30, 253)(31, 244)(32, 215)(33, 216)(34, 258)(35, 260)(36, 261)(37, 262)(38, 221)(39, 219)(40, 266)(41, 257)(42, 222)(43, 223)(44, 270)(45, 226)(46, 224)(47, 274)(48, 227)(49, 277)(50, 278)(51, 280)(52, 229)(53, 282)(54, 279)(55, 232)(56, 233)(57, 285)(58, 236)(59, 234)(60, 287)(61, 237)(62, 288)(63, 271)(64, 272)(65, 239)(66, 290)(67, 275)(68, 242)(69, 243)(70, 292)(71, 264)(72, 293)(73, 246)(74, 284)(75, 263)(76, 267)(77, 294)(78, 251)(79, 250)(80, 295)(81, 252)(82, 255)(83, 254)(84, 256)(85, 297)(86, 259)(87, 269)(88, 298)(89, 265)(90, 268)(91, 283)(92, 281)(93, 299)(94, 273)(95, 300)(96, 276)(97, 289)(98, 286)(99, 296)(100, 291)(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, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.2571
Graph:: simple bipartite
	v = 100 e = 200 f = 60
	degree seq :: [ 4^100 ]

E21.2568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y1 * Y2)^5, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	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, 23, 123)(14, 114, 25, 125)(16, 116, 28, 128)(17, 117, 30, 130)(18, 118, 31, 131)(19, 119, 33, 133)(21, 121, 36, 136)(22, 122, 38, 138)(24, 124, 40, 140)(26, 126, 43, 143)(27, 127, 37, 137)(29, 129, 35, 135)(32, 132, 48, 148)(34, 134, 51, 151)(39, 139, 55, 155)(41, 141, 58, 158)(42, 142, 59, 159)(44, 144, 57, 157)(45, 145, 60, 160)(46, 146, 63, 163)(47, 147, 64, 164)(49, 149, 67, 167)(50, 150, 68, 168)(52, 152, 66, 166)(53, 153, 69, 169)(54, 154, 72, 172)(56, 156, 75, 175)(61, 161, 71, 171)(62, 162, 70, 170)(65, 165, 82, 182)(73, 173, 87, 187)(74, 174, 83, 183)(76, 176, 81, 181)(77, 177, 88, 188)(78, 178, 90, 190)(79, 179, 89, 189)(80, 180, 91, 191)(84, 184, 92, 192)(85, 185, 94, 194)(86, 186, 93, 193)(95, 195, 98, 198)(96, 196, 100, 200)(97, 197, 99, 199)(201, 301, 203, 303)(202, 302, 205, 305)(204, 304, 208, 308)(206, 306, 211, 311)(207, 307, 213, 313)(209, 309, 216, 316)(210, 310, 218, 318)(212, 312, 221, 321)(214, 314, 224, 324)(215, 315, 226, 326)(217, 317, 229, 329)(219, 319, 232, 332)(220, 320, 234, 334)(222, 322, 237, 337)(223, 323, 231, 331)(225, 325, 241, 341)(227, 327, 244, 344)(228, 328, 245, 345)(230, 330, 242, 342)(233, 333, 249, 349)(235, 335, 252, 352)(236, 336, 253, 353)(238, 338, 250, 350)(239, 339, 247, 347)(240, 340, 256, 356)(243, 343, 260, 360)(246, 346, 262, 362)(248, 348, 265, 365)(251, 351, 269, 369)(254, 354, 271, 371)(255, 355, 273, 373)(257, 357, 276, 376)(258, 358, 277, 377)(259, 359, 274, 374)(261, 361, 279, 379)(263, 363, 278, 378)(264, 364, 280, 380)(266, 366, 283, 383)(267, 367, 284, 384)(268, 368, 281, 381)(270, 370, 286, 386)(272, 372, 285, 385)(275, 375, 288, 388)(282, 382, 292, 392)(287, 387, 295, 395)(289, 389, 297, 397)(290, 390, 296, 396)(291, 391, 298, 398)(293, 393, 300, 400)(294, 394, 299, 399)
	L = (1, 204)(2, 206)(3, 208)(4, 201)(5, 211)(6, 202)(7, 214)(8, 203)(9, 217)(10, 219)(11, 205)(12, 222)(13, 224)(14, 207)(15, 227)(16, 229)(17, 209)(18, 232)(19, 210)(20, 235)(21, 237)(22, 212)(23, 239)(24, 213)(25, 242)(26, 244)(27, 215)(28, 246)(29, 216)(30, 241)(31, 247)(32, 218)(33, 250)(34, 252)(35, 220)(36, 254)(37, 221)(38, 249)(39, 223)(40, 257)(41, 230)(42, 225)(43, 261)(44, 226)(45, 262)(46, 228)(47, 231)(48, 266)(49, 238)(50, 233)(51, 270)(52, 234)(53, 271)(54, 236)(55, 274)(56, 276)(57, 240)(58, 278)(59, 273)(60, 279)(61, 243)(62, 245)(63, 277)(64, 281)(65, 283)(66, 248)(67, 285)(68, 280)(69, 286)(70, 251)(71, 253)(72, 284)(73, 259)(74, 255)(75, 289)(76, 256)(77, 263)(78, 258)(79, 260)(80, 268)(81, 264)(82, 293)(83, 265)(84, 272)(85, 267)(86, 269)(87, 296)(88, 297)(89, 275)(90, 295)(91, 299)(92, 300)(93, 282)(94, 298)(95, 290)(96, 287)(97, 288)(98, 294)(99, 291)(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) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E21.2569
Graph:: simple bipartite
	v = 100 e = 200 f = 60
	degree seq :: [ 4^100 ]

E21.2569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * Y2)^5, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 15, 115, 30, 130, 51, 151, 50, 150, 29, 129, 14, 114, 5, 105)(3, 103, 9, 109, 16, 116, 33, 133, 52, 152, 77, 177, 70, 170, 45, 145, 25, 125, 11, 111)(4, 104, 12, 112, 26, 126, 46, 146, 71, 171, 76, 176, 53, 153, 32, 132, 17, 117, 8, 108)(7, 107, 18, 118, 31, 131, 54, 154, 75, 175, 74, 174, 49, 149, 28, 128, 13, 113, 20, 120)(10, 110, 23, 123, 42, 142, 67, 167, 90, 190, 95, 195, 78, 178, 57, 157, 34, 134, 22, 122)(19, 119, 37, 137, 27, 127, 47, 147, 72, 172, 92, 192, 93, 193, 80, 180, 55, 155, 36, 136)(21, 121, 39, 139, 56, 156, 81, 181, 94, 194, 85, 185, 69, 169, 44, 144, 24, 124, 41, 141)(35, 135, 58, 158, 79, 179, 66, 166, 88, 188, 63, 163, 48, 148, 62, 162, 38, 138, 60, 160)(40, 140, 65, 165, 43, 143, 68, 168, 91, 191, 98, 198, 100, 200, 97, 197, 82, 182, 64, 164)(59, 159, 84, 184, 61, 161, 86, 186, 73, 173, 87, 187, 99, 199, 89, 189, 96, 196, 83, 183)(201, 301, 203, 303)(202, 302, 207, 307)(204, 304, 210, 310)(205, 305, 213, 313)(206, 306, 216, 316)(208, 308, 219, 319)(209, 309, 221, 321)(211, 311, 224, 324)(212, 312, 227, 327)(214, 314, 225, 325)(215, 315, 231, 331)(217, 317, 234, 334)(218, 318, 235, 335)(220, 320, 238, 338)(222, 322, 240, 340)(223, 323, 243, 343)(226, 326, 242, 342)(228, 328, 248, 348)(229, 329, 249, 349)(230, 330, 252, 352)(232, 332, 255, 355)(233, 333, 256, 356)(236, 336, 259, 359)(237, 337, 261, 361)(239, 339, 263, 363)(241, 341, 266, 366)(244, 344, 258, 358)(245, 345, 269, 369)(246, 346, 272, 372)(247, 347, 273, 373)(250, 350, 270, 370)(251, 351, 275, 375)(253, 353, 278, 378)(254, 354, 279, 379)(257, 357, 282, 382)(260, 360, 285, 385)(262, 362, 281, 381)(264, 364, 287, 387)(265, 365, 289, 389)(267, 367, 291, 391)(268, 368, 283, 383)(271, 371, 290, 390)(274, 374, 288, 388)(276, 376, 293, 393)(277, 377, 294, 394)(280, 380, 296, 396)(284, 384, 298, 398)(286, 386, 297, 397)(292, 392, 299, 399)(295, 395, 300, 400)
	L = (1, 204)(2, 208)(3, 210)(4, 201)(5, 212)(6, 217)(7, 219)(8, 202)(9, 222)(10, 203)(11, 223)(12, 205)(13, 227)(14, 226)(15, 232)(16, 234)(17, 206)(18, 236)(19, 207)(20, 237)(21, 240)(22, 209)(23, 211)(24, 243)(25, 242)(26, 214)(27, 213)(28, 247)(29, 246)(30, 253)(31, 255)(32, 215)(33, 257)(34, 216)(35, 259)(36, 218)(37, 220)(38, 261)(39, 264)(40, 221)(41, 265)(42, 225)(43, 224)(44, 268)(45, 267)(46, 229)(47, 228)(48, 273)(49, 272)(50, 271)(51, 276)(52, 278)(53, 230)(54, 280)(55, 231)(56, 282)(57, 233)(58, 283)(59, 235)(60, 284)(61, 238)(62, 286)(63, 287)(64, 239)(65, 241)(66, 289)(67, 245)(68, 244)(69, 291)(70, 290)(71, 250)(72, 249)(73, 248)(74, 292)(75, 293)(76, 251)(77, 295)(78, 252)(79, 296)(80, 254)(81, 297)(82, 256)(83, 258)(84, 260)(85, 298)(86, 262)(87, 263)(88, 299)(89, 266)(90, 270)(91, 269)(92, 274)(93, 275)(94, 300)(95, 277)(96, 279)(97, 281)(98, 285)(99, 288)(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) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E21.2568
Graph:: simple bipartite
	v = 60 e = 200 f = 100
	degree seq :: [ 4^50, 20^10 ]

E21.2570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^10, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 15, 115, 30, 130, 51, 151, 50, 150, 29, 129, 14, 114, 5, 105)(3, 103, 9, 109, 21, 121, 39, 139, 63, 163, 80, 180, 52, 152, 34, 134, 16, 116, 11, 111)(4, 104, 12, 112, 26, 126, 46, 146, 72, 172, 78, 178, 53, 153, 32, 132, 17, 117, 8, 108)(7, 107, 18, 118, 13, 113, 28, 128, 48, 148, 75, 175, 77, 177, 55, 155, 31, 131, 20, 120)(10, 110, 24, 124, 33, 133, 56, 156, 79, 179, 98, 198, 89, 189, 65, 165, 40, 140, 23, 123)(19, 119, 37, 137, 54, 154, 81, 181, 97, 197, 95, 195, 73, 173, 47, 147, 27, 127, 36, 136)(22, 122, 41, 141, 25, 125, 45, 145, 57, 157, 84, 184, 99, 199, 91, 191, 64, 164, 43, 143)(35, 135, 58, 158, 38, 138, 62, 162, 82, 182, 93, 193, 96, 196, 76, 176, 49, 149, 60, 160)(42, 142, 68, 168, 90, 190, 85, 185, 100, 200, 88, 188, 83, 183, 70, 170, 44, 144, 67, 167)(59, 159, 87, 187, 74, 174, 71, 171, 94, 194, 66, 166, 92, 192, 69, 169, 61, 161, 86, 186)(201, 301, 203, 303)(202, 302, 207, 307)(204, 304, 210, 310)(205, 305, 213, 313)(206, 306, 216, 316)(208, 308, 219, 319)(209, 309, 222, 322)(211, 311, 225, 325)(212, 312, 227, 327)(214, 314, 221, 321)(215, 315, 231, 331)(217, 317, 233, 333)(218, 318, 235, 335)(220, 320, 238, 338)(223, 323, 242, 342)(224, 324, 244, 344)(226, 326, 240, 340)(228, 328, 249, 349)(229, 329, 248, 348)(230, 330, 252, 352)(232, 332, 254, 354)(234, 334, 257, 357)(236, 336, 259, 359)(237, 337, 261, 361)(239, 339, 264, 364)(241, 341, 266, 366)(243, 343, 269, 369)(245, 345, 271, 371)(246, 346, 273, 373)(247, 347, 274, 374)(250, 350, 263, 363)(251, 351, 277, 377)(253, 353, 279, 379)(255, 355, 282, 382)(256, 356, 283, 383)(258, 358, 285, 385)(260, 360, 288, 388)(262, 362, 268, 368)(265, 365, 290, 390)(267, 367, 293, 393)(270, 370, 276, 376)(272, 372, 289, 389)(275, 375, 296, 396)(278, 378, 297, 397)(280, 380, 299, 399)(281, 381, 292, 392)(284, 384, 287, 387)(286, 386, 291, 391)(294, 394, 295, 395)(298, 398, 300, 400)
	L = (1, 204)(2, 208)(3, 210)(4, 201)(5, 212)(6, 217)(7, 219)(8, 202)(9, 223)(10, 203)(11, 224)(12, 205)(13, 227)(14, 226)(15, 232)(16, 233)(17, 206)(18, 236)(19, 207)(20, 237)(21, 240)(22, 242)(23, 209)(24, 211)(25, 244)(26, 214)(27, 213)(28, 247)(29, 246)(30, 253)(31, 254)(32, 215)(33, 216)(34, 256)(35, 259)(36, 218)(37, 220)(38, 261)(39, 265)(40, 221)(41, 267)(42, 222)(43, 268)(44, 225)(45, 270)(46, 229)(47, 228)(48, 273)(49, 274)(50, 272)(51, 278)(52, 279)(53, 230)(54, 231)(55, 281)(56, 234)(57, 283)(58, 286)(59, 235)(60, 287)(61, 238)(62, 269)(63, 289)(64, 290)(65, 239)(66, 293)(67, 241)(68, 243)(69, 262)(70, 245)(71, 276)(72, 250)(73, 248)(74, 249)(75, 295)(76, 271)(77, 297)(78, 251)(79, 252)(80, 298)(81, 255)(82, 292)(83, 257)(84, 288)(85, 291)(86, 258)(87, 260)(88, 284)(89, 263)(90, 264)(91, 285)(92, 282)(93, 266)(94, 296)(95, 275)(96, 294)(97, 277)(98, 280)(99, 300)(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) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E21.2566
Graph:: simple bipartite
	v = 60 e = 200 f = 100
	degree seq :: [ 4^50, 20^10 ]

E21.2571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D10 x D10 (small group id <100, 13>)
Aut   = C2 x D10 x D10 (small group id <200, 49>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^2 * Y1, (Y3^-1 * Y1^-1)^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 101, 2, 102, 7, 107, 16, 116, 4, 104, 9, 109, 6, 106, 10, 110, 15, 115, 5, 105)(3, 103, 11, 111, 23, 123, 27, 127, 12, 112, 25, 125, 14, 114, 26, 126, 18, 118, 13, 113)(8, 108, 19, 119, 17, 117, 30, 130, 20, 120, 32, 132, 22, 122, 33, 133, 29, 129, 21, 121)(24, 124, 35, 135, 28, 128, 40, 140, 36, 136, 48, 148, 38, 138, 49, 149, 39, 139, 37, 137)(31, 131, 42, 142, 34, 134, 46, 146, 43, 143, 54, 154, 45, 145, 52, 152, 41, 141, 44, 144)(47, 147, 57, 157, 50, 150, 61, 161, 58, 158, 70, 170, 60, 160, 62, 162, 51, 151, 59, 159)(53, 153, 64, 164, 55, 155, 67, 167, 63, 163, 74, 174, 66, 166, 68, 168, 56, 156, 65, 165)(69, 169, 79, 179, 71, 171, 82, 182, 73, 173, 84, 184, 81, 181, 83, 183, 72, 172, 80, 180)(75, 175, 86, 186, 76, 176, 88, 188, 78, 178, 90, 190, 85, 185, 89, 189, 77, 177, 87, 187)(91, 191, 97, 197, 92, 192, 99, 199, 94, 194, 100, 200, 95, 195, 98, 198, 93, 193, 96, 196)(201, 301, 203, 303)(202, 302, 208, 308)(204, 304, 214, 314)(205, 305, 217, 317)(206, 306, 212, 312)(207, 307, 218, 318)(209, 309, 222, 322)(210, 310, 220, 320)(211, 311, 224, 324)(213, 313, 228, 328)(215, 315, 223, 323)(216, 316, 229, 329)(219, 319, 231, 331)(221, 321, 234, 334)(225, 325, 238, 338)(226, 326, 236, 336)(227, 327, 239, 339)(230, 330, 241, 341)(232, 332, 245, 345)(233, 333, 243, 343)(235, 335, 247, 347)(237, 337, 250, 350)(240, 340, 251, 351)(242, 342, 253, 353)(244, 344, 255, 355)(246, 346, 256, 356)(248, 348, 260, 360)(249, 349, 258, 358)(252, 352, 263, 363)(254, 354, 266, 366)(257, 357, 269, 369)(259, 359, 271, 371)(261, 361, 272, 372)(262, 362, 273, 373)(264, 364, 275, 375)(265, 365, 276, 376)(267, 367, 277, 377)(268, 368, 278, 378)(270, 370, 281, 381)(274, 374, 285, 385)(279, 379, 291, 391)(280, 380, 292, 392)(282, 382, 293, 393)(283, 383, 294, 394)(284, 384, 295, 395)(286, 386, 296, 396)(287, 387, 297, 397)(288, 388, 298, 398)(289, 389, 299, 399)(290, 390, 300, 400)
	L = (1, 204)(2, 209)(3, 212)(4, 215)(5, 216)(6, 201)(7, 206)(8, 220)(9, 205)(10, 202)(11, 225)(12, 218)(13, 227)(14, 203)(15, 207)(16, 210)(17, 222)(18, 223)(19, 232)(20, 229)(21, 230)(22, 208)(23, 214)(24, 236)(25, 213)(26, 211)(27, 226)(28, 238)(29, 217)(30, 233)(31, 243)(32, 221)(33, 219)(34, 245)(35, 248)(36, 239)(37, 240)(38, 224)(39, 228)(40, 249)(41, 234)(42, 254)(43, 241)(44, 246)(45, 231)(46, 252)(47, 258)(48, 237)(49, 235)(50, 260)(51, 250)(52, 242)(53, 263)(54, 244)(55, 266)(56, 255)(57, 270)(58, 251)(59, 261)(60, 247)(61, 262)(62, 257)(63, 256)(64, 274)(65, 267)(66, 253)(67, 268)(68, 264)(69, 273)(70, 259)(71, 281)(72, 271)(73, 272)(74, 265)(75, 278)(76, 285)(77, 276)(78, 277)(79, 284)(80, 282)(81, 269)(82, 283)(83, 279)(84, 280)(85, 275)(86, 290)(87, 288)(88, 289)(89, 286)(90, 287)(91, 294)(92, 295)(93, 292)(94, 293)(95, 291)(96, 299)(97, 300)(98, 297)(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) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E21.2567
Graph:: bipartite
	v = 60 e = 200 f = 100
	degree seq :: [ 4^50, 20^10 ]

E21.2572 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = (C5 x C5) : C4 (small group id <100, 10>)
Aut   = (C5 x C5) : C4 (small group id <100, 10>)
|r| :: 1
Presentation :: [ X1^4, X1^-1 * X2^2 * X1 * X2^2, X2^-2 * X1^-1 * X2^-2 * X1, X1 * X2^2 * X1^-1 * X2^2, (X1^-1 * X2^-1)^4, X2^2 * X1^-2 * X2^-2 * X1^-2, X1^-1 * X2^-2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2, X1^2 * X2^-1 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2, X2^10 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 47, 21)(8, 22, 53, 23)(10, 24, 42, 29)(12, 32, 69, 34)(13, 35, 74, 36)(16, 20, 46, 33)(17, 41, 82, 43)(18, 44, 86, 45)(26, 59, 89, 60)(27, 61, 93, 62)(28, 63, 52, 65)(30, 67, 90, 48)(31, 68, 72, 54)(38, 73, 88, 78)(39, 79, 66, 49)(40, 77, 55, 80)(50, 75, 85, 57)(51, 92, 98, 83)(56, 71, 87, 76)(58, 95, 70, 84)(64, 94, 97, 99)(81, 91, 96, 100)(101, 103, 110, 128, 164, 198, 181, 140, 116, 105)(102, 107, 120, 150, 191, 195, 194, 156, 124, 108)(104, 112, 133, 172, 200, 190, 199, 166, 129, 113)(106, 117, 142, 178, 197, 160, 196, 162, 146, 118)(109, 126, 114, 138, 177, 141, 183, 144, 163, 127)(111, 130, 115, 139, 180, 174, 192, 169, 165, 131)(119, 148, 122, 154, 171, 132, 170, 135, 175, 149)(121, 151, 123, 155, 176, 137, 158, 125, 157, 152)(134, 159, 136, 161, 179, 186, 167, 182, 168, 173)(143, 184, 145, 187, 193, 153, 189, 147, 188, 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) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: chiral
Dual of E21.2573
Transitivity :: ET+
Graph:: simple bipartite
	v = 35 e = 100 f = 25
	degree seq :: [ 4^25, 10^10 ]

E21.2573 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = (C5 x C5) : C4 (small group id <100, 10>)
Aut   = (C5 x C5) : C4 (small group id <100, 10>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1 * X2^-2 * X1 * X2 * X1^-2, X2^-2 * X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-1, X2 * X1^-1 * X2^2 * X1 * X2^-1 * X1^-2, X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1^2 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 101, 2, 102, 6, 106, 4, 104)(3, 103, 9, 109, 23, 123, 11, 111)(5, 105, 14, 114, 35, 135, 15, 115)(7, 107, 18, 118, 45, 145, 20, 120)(8, 108, 21, 121, 52, 152, 22, 122)(10, 110, 26, 126, 63, 163, 27, 127)(12, 112, 30, 130, 70, 170, 32, 132)(13, 113, 33, 133, 64, 164, 34, 134)(16, 116, 40, 140, 77, 177, 42, 142)(17, 117, 43, 143, 80, 180, 44, 144)(19, 119, 48, 148, 88, 188, 49, 149)(24, 124, 59, 159, 39, 139, 60, 160)(25, 125, 61, 161, 37, 137, 62, 162)(28, 128, 66, 166, 81, 181, 67, 167)(29, 129, 68, 168, 36, 136, 69, 169)(31, 131, 71, 171, 83, 183, 57, 157)(38, 138, 75, 175, 82, 182, 76, 176)(41, 141, 78, 178, 58, 158, 79, 179)(46, 146, 84, 184, 56, 156, 85, 185)(47, 147, 86, 186, 54, 154, 87, 187)(50, 150, 90, 190, 72, 172, 91, 191)(51, 151, 92, 192, 53, 153, 93, 193)(55, 155, 95, 195, 73, 173, 96, 196)(65, 165, 94, 194, 99, 199, 98, 198)(74, 174, 89, 189, 100, 200, 97, 197)
	L = (1, 103)(2, 107)(3, 110)(4, 112)(5, 101)(6, 116)(7, 119)(8, 102)(9, 124)(10, 105)(11, 128)(12, 131)(13, 104)(14, 136)(15, 138)(16, 141)(17, 106)(18, 146)(19, 108)(20, 150)(21, 153)(22, 155)(23, 157)(24, 144)(25, 109)(26, 164)(27, 165)(28, 142)(29, 111)(30, 156)(31, 113)(32, 151)(33, 172)(34, 147)(35, 171)(36, 174)(37, 114)(38, 140)(39, 115)(40, 139)(41, 117)(42, 129)(43, 181)(44, 125)(45, 127)(46, 134)(47, 118)(48, 135)(49, 189)(50, 132)(51, 120)(52, 126)(53, 194)(54, 121)(55, 130)(56, 122)(57, 197)(58, 123)(59, 192)(60, 190)(61, 186)(62, 184)(63, 177)(64, 178)(65, 183)(66, 193)(67, 187)(68, 191)(69, 196)(70, 179)(71, 180)(72, 198)(73, 133)(74, 137)(75, 195)(76, 185)(77, 149)(78, 152)(79, 199)(80, 148)(81, 200)(82, 143)(83, 145)(84, 166)(85, 168)(86, 175)(87, 160)(88, 170)(89, 163)(90, 167)(91, 176)(92, 169)(93, 162)(94, 154)(95, 161)(96, 159)(97, 158)(98, 173)(99, 188)(100, 182)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: chiral
Dual of E21.2572
Transitivity :: ET+ VT+
Graph:: simple
	v = 25 e = 100 f = 35
	degree seq :: [ 8^25 ]

E21.2574 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 20, 20})
Quotient :: halfedge
Aut^+ = C5 x (C5 : C4) (small group id <100, 9>)
Aut   = C5 x (C5 : C4) (small group id <100, 9>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-2, X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1, X1^-3 * X2 * X1^-3 * X2 * X1^-2 * X2 * X1^-2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 75, 90, 100, 88, 65, 85, 99, 87, 98, 74, 46, 22, 10, 4)(3, 7, 15, 31, 48, 77, 94, 71, 86, 61, 40, 53, 83, 56, 79, 93, 69, 38, 18, 8)(6, 13, 27, 55, 76, 92, 68, 41, 64, 34, 16, 33, 63, 81, 97, 73, 45, 62, 30, 14)(9, 19, 39, 50, 24, 49, 78, 91, 67, 37, 60, 29, 59, 32, 52, 82, 95, 70, 42, 20)(12, 25, 51, 80, 89, 66, 36, 17, 35, 58, 28, 57, 84, 96, 72, 44, 21, 43, 54, 26)
	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, 57)(33, 50)(34, 54)(35, 65)(36, 62)(38, 68)(39, 58)(42, 66)(43, 60)(44, 71)(46, 69)(47, 76)(49, 79)(51, 81)(55, 82)(59, 85)(63, 87)(64, 88)(67, 90)(70, 94)(72, 92)(73, 91)(74, 95)(75, 89)(77, 97)(78, 96)(80, 93)(83, 99)(84, 98)(86, 100)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 5 e = 50 f = 5
	degree seq :: [ 20^5 ]

E21.2575 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 20, 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 :: [ X1^2, X2 * X1 * X2 * X1 * X2^-3 * X1 * X2 * X1, X2^2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1, X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1, X2^-3 * X1 * X2^4 * X1 * X2^-1, X2 * X1 * X2 * X1 * X2^6 * X1 * X2^2, X2^20 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 47)(24, 49)(26, 53)(27, 55)(28, 57)(30, 61)(32, 63)(34, 65)(35, 51)(36, 67)(38, 54)(40, 56)(42, 58)(43, 59)(44, 71)(46, 62)(48, 75)(50, 77)(52, 79)(60, 83)(64, 78)(66, 76)(68, 87)(69, 89)(70, 94)(72, 85)(73, 84)(74, 95)(80, 98)(81, 97)(82, 93)(86, 91)(88, 99)(90, 100)(92, 96)(101, 103, 108, 118, 138, 169, 193, 183, 200, 177, 155, 179, 199, 175, 198, 174, 146, 122, 110, 104)(102, 105, 112, 126, 154, 181, 194, 171, 190, 165, 139, 167, 188, 163, 187, 186, 162, 130, 114, 106)(107, 115, 132, 164, 189, 185, 161, 141, 150, 124, 111, 123, 148, 176, 197, 173, 145, 157, 134, 116)(109, 119, 140, 147, 137, 168, 192, 184, 160, 129, 159, 133, 152, 125, 151, 178, 195, 170, 142, 120)(113, 127, 156, 131, 153, 180, 196, 172, 144, 121, 143, 149, 136, 117, 135, 166, 191, 182, 158, 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) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: chiral
Dual of E21.2576
Transitivity :: ET+
Graph:: simple bipartite
	v = 55 e = 100 f = 5
	degree seq :: [ 2^50, 20^5 ]

E21.2576 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 20, 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^-1 * X2^-1)^2, X2^2 * X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1, X2^4 * X1^4, X1^-1 * X2 * X1^-1 * X2 * X1^2 * X2^-2, X2 * X1^-2 * X2 * X1^-2 * X2^3 * X1^-1, X2^20 ]
Map::
	R = (1, 101, 2, 102, 6, 106, 16, 116, 40, 140, 77, 177, 66, 166, 92, 192, 100, 200, 98, 198, 61, 161, 91, 191, 99, 199, 97, 197, 76, 176, 96, 196, 62, 162, 34, 134, 13, 113, 4, 104)(3, 103, 9, 109, 23, 123, 57, 157, 39, 139, 42, 142, 80, 180, 72, 172, 93, 193, 50, 150, 83, 183, 43, 143, 82, 182, 74, 174, 37, 137, 46, 146, 88, 188, 69, 169, 29, 129, 11, 111)(5, 105, 14, 114, 35, 135, 56, 156, 78, 178, 68, 168, 31, 131, 71, 171, 84, 184, 58, 158, 24, 124, 59, 159, 94, 194, 54, 154, 81, 181, 63, 163, 26, 126, 51, 151, 20, 120, 7, 107)(8, 108, 21, 121, 52, 152, 89, 189, 65, 165, 27, 127, 10, 110, 25, 125, 60, 160, 36, 136, 15, 115, 38, 138, 75, 175, 87, 187, 73, 173, 33, 133, 48, 148, 85, 185, 44, 144, 17, 117)(12, 112, 30, 130, 70, 170, 79, 179, 41, 141, 18, 118, 45, 145, 86, 186, 67, 167, 28, 128, 49, 149, 19, 119, 47, 147, 90, 190, 53, 153, 22, 122, 55, 155, 95, 195, 64, 164, 32, 132)
	L = (1, 103)(2, 107)(3, 110)(4, 112)(5, 101)(6, 117)(7, 119)(8, 102)(9, 104)(10, 126)(11, 128)(12, 131)(13, 133)(14, 136)(15, 105)(16, 141)(17, 143)(18, 106)(19, 148)(20, 150)(21, 153)(22, 108)(23, 158)(24, 109)(25, 111)(26, 162)(27, 164)(28, 166)(29, 168)(30, 113)(31, 169)(32, 165)(33, 172)(34, 163)(35, 174)(36, 170)(37, 114)(38, 157)(39, 115)(40, 139)(41, 124)(42, 116)(43, 130)(44, 184)(45, 137)(46, 118)(47, 120)(48, 134)(49, 129)(50, 192)(51, 127)(52, 194)(53, 123)(54, 121)(55, 135)(56, 122)(57, 190)(58, 185)(59, 179)(60, 198)(61, 125)(62, 188)(63, 186)(64, 180)(65, 177)(66, 189)(67, 181)(68, 187)(69, 196)(70, 183)(71, 132)(72, 195)(73, 178)(74, 191)(75, 197)(76, 138)(77, 156)(78, 140)(79, 160)(80, 154)(81, 142)(82, 144)(83, 151)(84, 200)(85, 149)(86, 175)(87, 145)(88, 152)(89, 146)(90, 161)(91, 147)(92, 167)(93, 173)(94, 199)(95, 176)(96, 155)(97, 159)(98, 171)(99, 182)(100, 193)
	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 ) }
Outer automorphisms :: chiral
Dual of E21.2575
Transitivity :: ET+ VT+
Graph::
	v = 5 e = 100 f = 55
	degree seq :: [ 40^5 ]

E21.2577 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 14, 14})
Quotient :: halfedge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2 * X1 * X2)^2, X2 * X1^-3 * X2 * X1 * X2 * X1^2, X1^14, (X1^-1 * X2)^14 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 45, 70, 89, 88, 69, 44, 22, 10, 4)(3, 7, 15, 31, 54, 79, 97, 106, 99, 82, 60, 37, 18, 8)(6, 13, 27, 51, 78, 96, 112, 105, 98, 81, 62, 39, 30, 14)(9, 19, 38, 32, 55, 74, 94, 90, 107, 100, 83, 64, 40, 20)(12, 25, 48, 75, 95, 111, 104, 87, 80, 58, 35, 17, 34, 26)(16, 33, 24, 47, 73, 93, 110, 103, 86, 68, 63, 57, 53, 29)(21, 41, 65, 61, 56, 49, 76, 71, 91, 108, 101, 84, 66, 42)(28, 52, 46, 72, 92, 109, 102, 85, 67, 43, 36, 59, 77, 50)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 49)(26, 50)(27, 31)(30, 41)(33, 56)(35, 57)(37, 42)(38, 61)(40, 63)(44, 68)(45, 71)(47, 74)(48, 51)(52, 55)(53, 59)(54, 76)(58, 62)(60, 81)(64, 67)(65, 77)(66, 80)(69, 87)(70, 90)(72, 79)(73, 75)(78, 94)(82, 83)(84, 86)(85, 98)(88, 105)(89, 106)(91, 96)(92, 93)(95, 97)(99, 103)(100, 101)(102, 104)(107, 111)(108, 109)(110, 112)
	local type(s) :: { ( 14^14 ) }
Outer automorphisms :: chiral negatively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 8 e = 56 f = 8
	degree seq :: [ 14^8 ]

E21.2578 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 14, 14})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X1^2, (X1 * X2 * X1 * X2^-1)^2, X2 * X1 * X2^-3 * X1 * X2 * X1 * X2, X2^14, (X2^-1 * X1)^14 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 24)(18, 36)(19, 27)(20, 39)(22, 43)(23, 45)(26, 32)(28, 49)(30, 42)(33, 41)(34, 56)(35, 54)(37, 59)(38, 61)(40, 63)(44, 68)(46, 51)(47, 53)(48, 71)(50, 62)(52, 75)(55, 57)(58, 70)(60, 81)(64, 67)(65, 74)(66, 73)(69, 87)(72, 80)(76, 83)(77, 89)(78, 79)(82, 98)(84, 86)(85, 91)(88, 105)(90, 94)(92, 103)(93, 97)(95, 96)(99, 106)(100, 101)(102, 104)(107, 109)(108, 112)(110, 111)(113, 115, 120, 130, 149, 172, 194, 211, 200, 181, 156, 134, 122, 116)(114, 117, 124, 138, 160, 184, 202, 218, 204, 188, 164, 142, 126, 118)(119, 127, 144, 167, 189, 205, 219, 217, 203, 187, 174, 151, 145, 128)(121, 131, 150, 137, 159, 182, 201, 210, 224, 212, 195, 176, 152, 132)(123, 135, 148, 170, 191, 207, 221, 215, 198, 180, 175, 161, 158, 136)(125, 139, 147, 129, 146, 169, 190, 206, 220, 216, 199, 185, 162, 140)(133, 153, 177, 173, 157, 168, 183, 193, 209, 223, 213, 196, 178, 154)(141, 163, 186, 166, 143, 165, 171, 192, 208, 222, 214, 197, 179, 155)
	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) :: { ( 28, 28 ), ( 28^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 112 f = 8
	degree seq :: [ 2^56, 14^8 ]

E21.2579 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 14, 14})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, (X2^-1 * X1^-1)^2, X1^-3 * X2^-2 * X1 * X2^-1 * X1^-1, X1^2 * X2 * X1^-1 * X2^-1 * X1 * X2^2, X2 * X1^-2 * X2^-4 * X1^-1, X1^-1 * X2 * X1^-2 * X2^10, X2^-2 * X1 * X2^-1 * X1^10 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 40, 152, 68, 180, 88, 200, 105, 217, 102, 214, 82, 194, 64, 176, 34, 146, 13, 125, 4, 116)(3, 115, 9, 121, 23, 135, 57, 169, 37, 149, 56, 168, 72, 184, 95, 207, 106, 218, 99, 211, 84, 196, 67, 179, 29, 141, 11, 123)(5, 117, 14, 126, 35, 147, 54, 166, 78, 190, 91, 203, 111, 223, 97, 209, 85, 197, 62, 174, 31, 143, 51, 163, 20, 132, 7, 119)(8, 120, 21, 133, 52, 164, 76, 188, 96, 208, 108, 220, 101, 213, 87, 199, 63, 175, 27, 139, 10, 122, 25, 137, 44, 156, 17, 129)(12, 124, 30, 142, 59, 171, 79, 191, 58, 170, 39, 151, 46, 158, 77, 189, 89, 201, 107, 219, 100, 212, 81, 193, 60, 172, 32, 144)(15, 127, 38, 150, 42, 154, 71, 183, 93, 205, 110, 222, 98, 210, 80, 192, 65, 177, 28, 140, 48, 160, 74, 186, 43, 155, 36, 148)(18, 130, 45, 157, 75, 187, 94, 206, 112, 224, 104, 216, 83, 195, 61, 173, 26, 138, 49, 161, 19, 131, 47, 159, 24, 136, 41, 153)(22, 134, 55, 167, 69, 181, 90, 202, 109, 221, 103, 215, 86, 198, 66, 178, 33, 145, 50, 162, 73, 185, 92, 204, 70, 182, 53, 165)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 129)(7, 131)(8, 114)(9, 116)(10, 138)(11, 140)(12, 143)(13, 145)(14, 148)(15, 117)(16, 153)(17, 155)(18, 118)(19, 160)(20, 162)(21, 165)(22, 120)(23, 159)(24, 121)(25, 123)(26, 172)(27, 174)(28, 176)(29, 178)(30, 125)(31, 175)(32, 173)(33, 179)(34, 177)(35, 169)(36, 156)(37, 126)(38, 170)(39, 127)(40, 150)(41, 182)(42, 128)(43, 185)(44, 142)(45, 151)(46, 130)(47, 132)(48, 141)(49, 139)(50, 146)(51, 144)(52, 147)(53, 136)(54, 133)(55, 149)(56, 134)(57, 191)(58, 135)(59, 137)(60, 192)(61, 194)(62, 196)(63, 198)(64, 195)(65, 193)(66, 199)(67, 197)(68, 167)(69, 152)(70, 171)(71, 168)(72, 154)(73, 163)(74, 161)(75, 164)(76, 157)(77, 166)(78, 158)(79, 204)(80, 209)(81, 211)(82, 213)(83, 215)(84, 212)(85, 210)(86, 216)(87, 214)(88, 189)(89, 180)(90, 190)(91, 181)(92, 186)(93, 187)(94, 183)(95, 188)(96, 184)(97, 217)(98, 220)(99, 224)(100, 221)(101, 222)(102, 223)(103, 219)(104, 218)(105, 207)(106, 200)(107, 208)(108, 201)(109, 205)(110, 202)(111, 206)(112, 203)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 8 e = 112 f = 64
	degree seq :: [ 28^8 ]

E21.2580 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {2, 14, 14})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x C2 x ((C2 x C2 x C2) : C7) (small group id <224, 195>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (T1^-1 * T2^-1)^2, F * T1 * F * T2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2^-2, T1^-1 * T2^-2 * T1 * T2^-1 * T1^-3, T2^-2 * T1 * T2^-1 * T1^10, T2^14 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 60, 80, 97, 105, 95, 76, 45, 39, 15, 5)(2, 7, 19, 48, 29, 66, 87, 102, 111, 94, 71, 56, 22, 8)(4, 12, 31, 63, 86, 104, 106, 88, 77, 54, 21, 53, 24, 9)(6, 17, 43, 73, 51, 32, 61, 82, 101, 110, 90, 78, 46, 18)(11, 28, 64, 83, 103, 107, 96, 72, 42, 16, 41, 70, 59, 25)(13, 33, 67, 85, 98, 108, 89, 68, 55, 37, 14, 36, 44, 30)(20, 50, 34, 65, 81, 99, 112, 91, 69, 40, 38, 58, 23, 47)(27, 62, 84, 100, 109, 93, 75, 52, 35, 57, 79, 92, 74, 49)(113, 114, 118, 128, 152, 180, 200, 217, 214, 194, 176, 146, 125, 116)(115, 121, 135, 169, 149, 168, 184, 207, 218, 211, 196, 179, 141, 123)(117, 126, 147, 166, 190, 203, 223, 209, 197, 174, 143, 163, 132, 119)(120, 133, 164, 188, 208, 220, 213, 199, 175, 139, 122, 137, 156, 129)(124, 142, 171, 191, 170, 151, 158, 189, 201, 219, 212, 193, 172, 144)(127, 150, 154, 183, 205, 222, 210, 192, 177, 140, 160, 186, 155, 148)(130, 157, 187, 206, 224, 216, 195, 173, 138, 161, 131, 159, 136, 153)(134, 167, 181, 202, 221, 215, 198, 178, 145, 162, 185, 204, 182, 165)
	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) :: { ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E21.2581
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 16 e = 112 f = 56
	degree seq :: [ 14^16 ]

E21.2581 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {2, 14, 14})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x C2 x ((C2 x C2 x C2) : C7) (small group id <224, 195>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T2 * T1 * T2 * T1^-1)^2, T2 * T1^-3 * T2 * T1 * T2 * T1^2, F * T1^-3 * T2 * F * T1^2 * T2 * T1, T1^-2 * T2 * T1 * F * T1^3 * F * T1^-2, F * T1^-2 * T2 * T1^-2 * T2 * T1^2 * F * T1^2, T1^14, (T2 * T1^-1)^14 ]
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, 36, 148)(19, 131, 34, 146)(20, 132, 39, 151)(22, 134, 43, 155)(23, 135, 46, 158)(25, 137, 49, 161)(26, 138, 50, 162)(27, 139, 31, 143)(30, 142, 41, 153)(33, 145, 56, 168)(35, 147, 57, 169)(37, 149, 42, 154)(38, 150, 61, 173)(40, 152, 63, 175)(44, 156, 68, 180)(45, 157, 71, 183)(47, 159, 74, 186)(48, 160, 51, 163)(52, 164, 55, 167)(53, 165, 59, 171)(54, 166, 76, 188)(58, 170, 62, 174)(60, 172, 81, 193)(64, 176, 67, 179)(65, 177, 77, 189)(66, 178, 80, 192)(69, 181, 87, 199)(70, 182, 90, 202)(72, 184, 79, 191)(73, 185, 75, 187)(78, 190, 94, 206)(82, 194, 83, 195)(84, 196, 86, 198)(85, 197, 98, 210)(88, 200, 105, 217)(89, 201, 106, 218)(91, 203, 96, 208)(92, 204, 93, 205)(95, 207, 97, 209)(99, 211, 103, 215)(100, 212, 101, 213)(102, 214, 104, 216)(107, 219, 111, 223)(108, 220, 109, 221)(110, 222, 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, 145)(17, 146)(18, 120)(19, 150)(20, 121)(21, 153)(22, 122)(23, 157)(24, 159)(25, 160)(26, 124)(27, 163)(28, 164)(29, 128)(30, 126)(31, 166)(32, 167)(33, 136)(34, 138)(35, 129)(36, 171)(37, 130)(38, 144)(39, 142)(40, 132)(41, 177)(42, 133)(43, 148)(44, 134)(45, 182)(46, 184)(47, 185)(48, 187)(49, 188)(50, 140)(51, 190)(52, 158)(53, 141)(54, 191)(55, 186)(56, 161)(57, 165)(58, 147)(59, 189)(60, 149)(61, 168)(62, 151)(63, 169)(64, 152)(65, 173)(66, 154)(67, 155)(68, 175)(69, 156)(70, 201)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 183)(77, 162)(78, 208)(79, 209)(80, 170)(81, 174)(82, 172)(83, 176)(84, 178)(85, 179)(86, 180)(87, 192)(88, 181)(89, 200)(90, 219)(91, 220)(92, 221)(93, 222)(94, 202)(95, 223)(96, 224)(97, 218)(98, 193)(99, 194)(100, 195)(101, 196)(102, 197)(103, 198)(104, 199)(105, 210)(106, 211)(107, 212)(108, 213)(109, 214)(110, 215)(111, 216)(112, 217)
	local type(s) :: { ( 14^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2580
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 56 e = 112 f = 16
	degree seq :: [ 4^56 ]

E21.2582 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x C2 x ((C2 x C2 x C2) : C7) (small group id <224, 195>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^-1 * Y1^3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-3 * Y1^-1, Y1^14, Y2^14 ]
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, 226, 230, 240, 264, 292, 312, 329, 326, 306, 288, 258, 237, 228)(227, 233, 247, 281, 261, 280, 296, 319, 330, 323, 308, 291, 253, 235)(229, 238, 259, 278, 302, 315, 335, 321, 309, 286, 255, 275, 244, 231)(232, 245, 276, 300, 320, 332, 325, 311, 287, 251, 234, 249, 268, 241)(236, 254, 283, 303, 282, 263, 270, 301, 313, 331, 324, 305, 284, 256)(239, 262, 266, 295, 317, 334, 322, 304, 289, 252, 272, 298, 267, 260)(242, 269, 299, 318, 336, 328, 307, 285, 250, 273, 243, 271, 248, 265)(246, 279, 293, 314, 333, 327, 310, 290, 257, 274, 297, 316, 294, 277)(337, 339, 346, 362, 396, 416, 433, 441, 431, 412, 381, 375, 351, 341)(338, 343, 355, 384, 365, 402, 423, 438, 447, 430, 407, 392, 358, 344)(340, 348, 367, 399, 422, 440, 442, 424, 413, 390, 357, 389, 360, 345)(342, 353, 379, 409, 387, 368, 397, 418, 437, 446, 426, 414, 382, 354)(347, 364, 400, 419, 439, 443, 432, 408, 378, 352, 377, 406, 395, 361)(349, 369, 403, 421, 434, 444, 425, 404, 391, 373, 350, 372, 380, 366)(356, 386, 370, 401, 417, 435, 448, 427, 405, 376, 374, 394, 359, 383)(363, 398, 420, 436, 445, 429, 411, 388, 371, 393, 415, 428, 410, 385)
	L = (1, 225)(2, 226)(3, 227)(4, 228)(5, 229)(6, 230)(7, 231)(8, 232)(9, 233)(10, 234)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 243)(20, 244)(21, 245)(22, 246)(23, 247)(24, 248)(25, 249)(26, 250)(27, 251)(28, 252)(29, 253)(30, 254)(31, 255)(32, 256)(33, 257)(34, 258)(35, 259)(36, 260)(37, 261)(38, 262)(39, 263)(40, 264)(41, 265)(42, 266)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 289)(66, 290)(67, 291)(68, 292)(69, 293)(70, 294)(71, 295)(72, 296)(73, 297)(74, 298)(75, 299)(76, 300)(77, 301)(78, 302)(79, 303)(80, 304)(81, 305)(82, 306)(83, 307)(84, 308)(85, 309)(86, 310)(87, 311)(88, 312)(89, 313)(90, 314)(91, 315)(92, 316)(93, 317)(94, 318)(95, 319)(96, 320)(97, 321)(98, 322)(99, 323)(100, 324)(101, 325)(102, 326)(103, 327)(104, 328)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110, 334)(111, 335)(112, 336)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 8, 8 ), ( 8^14 ) }
Outer automorphisms :: reflexible
Dual of E21.2585
Graph:: simple bipartite
	v = 128 e = 224 f = 56
	degree seq :: [ 2^112, 14^16 ]

E21.2583 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 14, 14})
Quotient :: edge^2
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x C2 x ((C2 x C2 x C2) : C7) (small group id <224, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y2^3 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1^-1 * Y2 * Y1^3 * Y3, Y1^14, Y2^14 ]
Map:: polytopal non-degenerate
	R = (1, 113, 4, 116)(2, 114, 8, 120)(3, 115, 5, 117)(6, 118, 18, 130)(7, 119, 21, 133)(9, 121, 26, 138)(10, 122, 29, 141)(11, 123, 12, 124)(13, 125, 14, 126)(15, 127, 16, 128)(17, 129, 46, 158)(19, 131, 49, 161)(20, 132, 47, 159)(22, 134, 45, 157)(23, 135, 24, 136)(25, 137, 50, 162)(27, 139, 48, 160)(28, 140, 53, 165)(30, 142, 62, 174)(31, 143, 40, 152)(32, 144, 33, 145)(34, 146, 35, 147)(36, 148, 37, 149)(38, 150, 39, 151)(41, 153, 42, 154)(43, 155, 44, 156)(51, 163, 59, 171)(52, 164, 58, 170)(54, 166, 61, 173)(55, 167, 60, 172)(56, 168, 57, 169)(63, 175, 76, 188)(64, 176, 65, 177)(66, 178, 67, 179)(68, 180, 69, 181)(70, 182, 71, 183)(72, 184, 78, 190)(73, 185, 77, 189)(74, 186, 80, 192)(75, 187, 79, 191)(81, 193, 82, 194)(83, 195, 84, 196)(85, 197, 86, 198)(87, 199, 88, 200)(89, 201, 94, 206)(90, 202, 93, 205)(91, 203, 96, 208)(92, 204, 95, 207)(97, 209, 98, 210)(99, 211, 100, 212)(101, 213, 102, 214)(103, 215, 104, 216)(105, 217, 110, 222)(106, 218, 109, 221)(107, 219, 112, 224)(108, 220, 111, 223)(225, 226, 231, 244, 275, 296, 313, 329, 327, 310, 290, 268, 240, 229)(227, 234, 252, 250, 251, 284, 304, 318, 330, 326, 307, 295, 259, 236)(228, 230, 241, 269, 279, 303, 320, 334, 321, 311, 293, 258, 263, 238)(232, 233, 249, 282, 299, 319, 336, 328, 308, 289, 256, 262, 281, 248)(235, 255, 287, 286, 270, 271, 276, 298, 317, 332, 323, 312, 291, 257)(237, 253, 254, 273, 274, 283, 297, 315, 333, 324, 306, 288, 267, 261)(239, 264, 247, 242, 243, 272, 285, 302, 314, 331, 322, 305, 294, 266)(245, 246, 278, 301, 316, 335, 325, 309, 292, 265, 260, 280, 300, 277)(337, 339, 347, 368, 400, 417, 433, 441, 430, 410, 394, 386, 355, 342)(338, 340, 349, 372, 378, 407, 420, 439, 446, 427, 413, 397, 363, 345)(341, 351, 377, 405, 424, 436, 442, 425, 414, 390, 381, 382, 366, 346)(343, 344, 359, 367, 348, 370, 404, 422, 440, 443, 429, 416, 391, 358)(350, 374, 369, 402, 421, 438, 445, 432, 411, 388, 356, 357, 364, 365)(352, 379, 401, 419, 437, 444, 426, 408, 395, 361, 362, 389, 399, 376)(353, 354, 360, 392, 373, 380, 403, 423, 434, 448, 428, 409, 387, 383)(371, 406, 418, 435, 447, 431, 415, 396, 384, 385, 398, 412, 393, 375)
	L = (1, 225)(2, 226)(3, 227)(4, 228)(5, 229)(6, 230)(7, 231)(8, 232)(9, 233)(10, 234)(11, 235)(12, 236)(13, 237)(14, 238)(15, 239)(16, 240)(17, 241)(18, 242)(19, 243)(20, 244)(21, 245)(22, 246)(23, 247)(24, 248)(25, 249)(26, 250)(27, 251)(28, 252)(29, 253)(30, 254)(31, 255)(32, 256)(33, 257)(34, 258)(35, 259)(36, 260)(37, 261)(38, 262)(39, 263)(40, 264)(41, 265)(42, 266)(43, 267)(44, 268)(45, 269)(46, 270)(47, 271)(48, 272)(49, 273)(50, 274)(51, 275)(52, 276)(53, 277)(54, 278)(55, 279)(56, 280)(57, 281)(58, 282)(59, 283)(60, 284)(61, 285)(62, 286)(63, 287)(64, 288)(65, 289)(66, 290)(67, 291)(68, 292)(69, 293)(70, 294)(71, 295)(72, 296)(73, 297)(74, 298)(75, 299)(76, 300)(77, 301)(78, 302)(79, 303)(80, 304)(81, 305)(82, 306)(83, 307)(84, 308)(85, 309)(86, 310)(87, 311)(88, 312)(89, 313)(90, 314)(91, 315)(92, 316)(93, 317)(94, 318)(95, 319)(96, 320)(97, 321)(98, 322)(99, 323)(100, 324)(101, 325)(102, 326)(103, 327)(104, 328)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110, 334)(111, 335)(112, 336)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 4^4 ), ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E21.2584
Graph:: simple bipartite
	v = 72 e = 224 f = 112
	degree seq :: [ 4^56, 14^16 ]

E21.2584 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x C2 x ((C2 x C2 x C2) : C7) (small group id <224, 195>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y2^-1 * Y1^3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-3 * Y1^-1, Y1^14, Y2^14 ]
Map:: polytopal non-degenerate
	R = (1, 113, 225, 337)(2, 114, 226, 338)(3, 115, 227, 339)(4, 116, 228, 340)(5, 117, 229, 341)(6, 118, 230, 342)(7, 119, 231, 343)(8, 120, 232, 344)(9, 121, 233, 345)(10, 122, 234, 346)(11, 123, 235, 347)(12, 124, 236, 348)(13, 125, 237, 349)(14, 126, 238, 350)(15, 127, 239, 351)(16, 128, 240, 352)(17, 129, 241, 353)(18, 130, 242, 354)(19, 131, 243, 355)(20, 132, 244, 356)(21, 133, 245, 357)(22, 134, 246, 358)(23, 135, 247, 359)(24, 136, 248, 360)(25, 137, 249, 361)(26, 138, 250, 362)(27, 139, 251, 363)(28, 140, 252, 364)(29, 141, 253, 365)(30, 142, 254, 366)(31, 143, 255, 367)(32, 144, 256, 368)(33, 145, 257, 369)(34, 146, 258, 370)(35, 147, 259, 371)(36, 148, 260, 372)(37, 149, 261, 373)(38, 150, 262, 374)(39, 151, 263, 375)(40, 152, 264, 376)(41, 153, 265, 377)(42, 154, 266, 378)(43, 155, 267, 379)(44, 156, 268, 380)(45, 157, 269, 381)(46, 158, 270, 382)(47, 159, 271, 383)(48, 160, 272, 384)(49, 161, 273, 385)(50, 162, 274, 386)(51, 163, 275, 387)(52, 164, 276, 388)(53, 165, 277, 389)(54, 166, 278, 390)(55, 167, 279, 391)(56, 168, 280, 392)(57, 169, 281, 393)(58, 170, 282, 394)(59, 171, 283, 395)(60, 172, 284, 396)(61, 173, 285, 397)(62, 174, 286, 398)(63, 175, 287, 399)(64, 176, 288, 400)(65, 177, 289, 401)(66, 178, 290, 402)(67, 179, 291, 403)(68, 180, 292, 404)(69, 181, 293, 405)(70, 182, 294, 406)(71, 183, 295, 407)(72, 184, 296, 408)(73, 185, 297, 409)(74, 186, 298, 410)(75, 187, 299, 411)(76, 188, 300, 412)(77, 189, 301, 413)(78, 190, 302, 414)(79, 191, 303, 415)(80, 192, 304, 416)(81, 193, 305, 417)(82, 194, 306, 418)(83, 195, 307, 419)(84, 196, 308, 420)(85, 197, 309, 421)(86, 198, 310, 422)(87, 199, 311, 423)(88, 200, 312, 424)(89, 201, 313, 425)(90, 202, 314, 426)(91, 203, 315, 427)(92, 204, 316, 428)(93, 205, 317, 429)(94, 206, 318, 430)(95, 207, 319, 431)(96, 208, 320, 432)(97, 209, 321, 433)(98, 210, 322, 434)(99, 211, 323, 435)(100, 212, 324, 436)(101, 213, 325, 437)(102, 214, 326, 438)(103, 215, 327, 439)(104, 216, 328, 440)(105, 217, 329, 441)(106, 218, 330, 442)(107, 219, 331, 443)(108, 220, 332, 444)(109, 221, 333, 445)(110, 222, 334, 446)(111, 223, 335, 447)(112, 224, 336, 448)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 126)(6, 128)(7, 117)(8, 133)(9, 135)(10, 137)(11, 115)(12, 142)(13, 116)(14, 147)(15, 150)(16, 152)(17, 120)(18, 157)(19, 159)(20, 119)(21, 164)(22, 167)(23, 169)(24, 153)(25, 156)(26, 161)(27, 122)(28, 160)(29, 123)(30, 171)(31, 163)(32, 124)(33, 162)(34, 125)(35, 166)(36, 127)(37, 168)(38, 154)(39, 158)(40, 180)(41, 130)(42, 183)(43, 148)(44, 129)(45, 187)(46, 189)(47, 136)(48, 186)(49, 131)(50, 185)(51, 132)(52, 188)(53, 134)(54, 190)(55, 181)(56, 184)(57, 149)(58, 151)(59, 191)(60, 144)(61, 138)(62, 143)(63, 139)(64, 146)(65, 140)(66, 145)(67, 141)(68, 200)(69, 202)(70, 165)(71, 205)(72, 207)(73, 204)(74, 155)(75, 206)(76, 208)(77, 201)(78, 203)(79, 170)(80, 177)(81, 172)(82, 176)(83, 173)(84, 179)(85, 174)(86, 178)(87, 175)(88, 217)(89, 219)(90, 221)(91, 223)(92, 182)(93, 222)(94, 224)(95, 218)(96, 220)(97, 197)(98, 192)(99, 196)(100, 193)(101, 199)(102, 194)(103, 198)(104, 195)(105, 214)(106, 211)(107, 212)(108, 213)(109, 215)(110, 210)(111, 209)(112, 216)(225, 339)(226, 343)(227, 346)(228, 348)(229, 337)(230, 353)(231, 355)(232, 338)(233, 340)(234, 362)(235, 364)(236, 367)(237, 369)(238, 372)(239, 341)(240, 377)(241, 379)(242, 342)(243, 384)(244, 386)(245, 389)(246, 344)(247, 383)(248, 345)(249, 347)(250, 396)(251, 398)(252, 400)(253, 402)(254, 349)(255, 399)(256, 397)(257, 403)(258, 401)(259, 393)(260, 380)(261, 350)(262, 394)(263, 351)(264, 374)(265, 406)(266, 352)(267, 409)(268, 366)(269, 375)(270, 354)(271, 356)(272, 365)(273, 363)(274, 370)(275, 368)(276, 371)(277, 360)(278, 357)(279, 373)(280, 358)(281, 415)(282, 359)(283, 361)(284, 416)(285, 418)(286, 420)(287, 422)(288, 419)(289, 417)(290, 423)(291, 421)(292, 391)(293, 376)(294, 395)(295, 392)(296, 378)(297, 387)(298, 385)(299, 388)(300, 381)(301, 390)(302, 382)(303, 428)(304, 433)(305, 435)(306, 437)(307, 439)(308, 436)(309, 434)(310, 440)(311, 438)(312, 413)(313, 404)(314, 414)(315, 405)(316, 410)(317, 411)(318, 407)(319, 412)(320, 408)(321, 441)(322, 444)(323, 448)(324, 445)(325, 446)(326, 447)(327, 443)(328, 442)(329, 431)(330, 424)(331, 432)(332, 425)(333, 429)(334, 426)(335, 430)(336, 427)
	local type(s) :: { ( 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.2583
Transitivity :: VT+
Graph:: simple bipartite
	v = 112 e = 224 f = 72
	degree seq :: [ 4^112 ]

E21.2585 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 14, 14})
Quotient :: loop^2
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x C2 x ((C2 x C2 x C2) : C7) (small group id <224, 195>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, Y2^3 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1^-1 * Y2 * Y1^3 * Y3, Y1^14, Y2^14 ]
Map::
	R = (1, 113, 225, 337, 4, 116, 228, 340)(2, 114, 226, 338, 8, 120, 232, 344)(3, 115, 227, 339, 5, 117, 229, 341)(6, 118, 230, 342, 18, 130, 242, 354)(7, 119, 231, 343, 21, 133, 245, 357)(9, 121, 233, 345, 26, 138, 250, 362)(10, 122, 234, 346, 29, 141, 253, 365)(11, 123, 235, 347, 12, 124, 236, 348)(13, 125, 237, 349, 14, 126, 238, 350)(15, 127, 239, 351, 16, 128, 240, 352)(17, 129, 241, 353, 46, 158, 270, 382)(19, 131, 243, 355, 49, 161, 273, 385)(20, 132, 244, 356, 47, 159, 271, 383)(22, 134, 246, 358, 45, 157, 269, 381)(23, 135, 247, 359, 24, 136, 248, 360)(25, 137, 249, 361, 50, 162, 274, 386)(27, 139, 251, 363, 48, 160, 272, 384)(28, 140, 252, 364, 53, 165, 277, 389)(30, 142, 254, 366, 62, 174, 286, 398)(31, 143, 255, 367, 40, 152, 264, 376)(32, 144, 256, 368, 33, 145, 257, 369)(34, 146, 258, 370, 35, 147, 259, 371)(36, 148, 260, 372, 37, 149, 261, 373)(38, 150, 262, 374, 39, 151, 263, 375)(41, 153, 265, 377, 42, 154, 266, 378)(43, 155, 267, 379, 44, 156, 268, 380)(51, 163, 275, 387, 59, 171, 283, 395)(52, 164, 276, 388, 58, 170, 282, 394)(54, 166, 278, 390, 61, 173, 285, 397)(55, 167, 279, 391, 60, 172, 284, 396)(56, 168, 280, 392, 57, 169, 281, 393)(63, 175, 287, 399, 76, 188, 300, 412)(64, 176, 288, 400, 65, 177, 289, 401)(66, 178, 290, 402, 67, 179, 291, 403)(68, 180, 292, 404, 69, 181, 293, 405)(70, 182, 294, 406, 71, 183, 295, 407)(72, 184, 296, 408, 78, 190, 302, 414)(73, 185, 297, 409, 77, 189, 301, 413)(74, 186, 298, 410, 80, 192, 304, 416)(75, 187, 299, 411, 79, 191, 303, 415)(81, 193, 305, 417, 82, 194, 306, 418)(83, 195, 307, 419, 84, 196, 308, 420)(85, 197, 309, 421, 86, 198, 310, 422)(87, 199, 311, 423, 88, 200, 312, 424)(89, 201, 313, 425, 94, 206, 318, 430)(90, 202, 314, 426, 93, 205, 317, 429)(91, 203, 315, 427, 96, 208, 320, 432)(92, 204, 316, 428, 95, 207, 319, 431)(97, 209, 321, 433, 98, 210, 322, 434)(99, 211, 323, 435, 100, 212, 324, 436)(101, 213, 325, 437, 102, 214, 326, 438)(103, 215, 327, 439, 104, 216, 328, 440)(105, 217, 329, 441, 110, 222, 334, 446)(106, 218, 330, 442, 109, 221, 333, 445)(107, 219, 331, 443, 112, 224, 336, 448)(108, 220, 332, 444, 111, 223, 335, 447)
	L = (1, 114)(2, 119)(3, 122)(4, 118)(5, 113)(6, 129)(7, 132)(8, 121)(9, 137)(10, 140)(11, 143)(12, 115)(13, 141)(14, 116)(15, 152)(16, 117)(17, 157)(18, 131)(19, 160)(20, 163)(21, 134)(22, 166)(23, 130)(24, 120)(25, 170)(26, 139)(27, 172)(28, 138)(29, 142)(30, 161)(31, 175)(32, 150)(33, 123)(34, 151)(35, 124)(36, 168)(37, 125)(38, 169)(39, 126)(40, 135)(41, 148)(42, 127)(43, 149)(44, 128)(45, 167)(46, 159)(47, 164)(48, 173)(49, 162)(50, 171)(51, 184)(52, 186)(53, 133)(54, 189)(55, 191)(56, 188)(57, 136)(58, 187)(59, 185)(60, 192)(61, 190)(62, 158)(63, 174)(64, 155)(65, 144)(66, 156)(67, 145)(68, 153)(69, 146)(70, 154)(71, 147)(72, 201)(73, 203)(74, 205)(75, 207)(76, 165)(77, 204)(78, 202)(79, 208)(80, 206)(81, 182)(82, 176)(83, 183)(84, 177)(85, 180)(86, 178)(87, 181)(88, 179)(89, 217)(90, 219)(91, 221)(92, 223)(93, 220)(94, 218)(95, 224)(96, 222)(97, 199)(98, 193)(99, 200)(100, 194)(101, 197)(102, 195)(103, 198)(104, 196)(105, 215)(106, 214)(107, 210)(108, 211)(109, 212)(110, 209)(111, 213)(112, 216)(225, 339)(226, 340)(227, 347)(228, 349)(229, 351)(230, 337)(231, 344)(232, 359)(233, 338)(234, 341)(235, 368)(236, 370)(237, 372)(238, 374)(239, 377)(240, 379)(241, 354)(242, 360)(243, 342)(244, 357)(245, 364)(246, 343)(247, 367)(248, 392)(249, 362)(250, 389)(251, 345)(252, 365)(253, 350)(254, 346)(255, 348)(256, 400)(257, 402)(258, 404)(259, 406)(260, 378)(261, 380)(262, 369)(263, 371)(264, 352)(265, 405)(266, 407)(267, 401)(268, 403)(269, 382)(270, 366)(271, 353)(272, 385)(273, 398)(274, 355)(275, 383)(276, 356)(277, 399)(278, 381)(279, 358)(280, 373)(281, 375)(282, 386)(283, 361)(284, 384)(285, 363)(286, 412)(287, 376)(288, 417)(289, 419)(290, 421)(291, 423)(292, 422)(293, 424)(294, 418)(295, 420)(296, 395)(297, 387)(298, 394)(299, 388)(300, 393)(301, 397)(302, 390)(303, 396)(304, 391)(305, 433)(306, 435)(307, 437)(308, 439)(309, 438)(310, 440)(311, 434)(312, 436)(313, 414)(314, 408)(315, 413)(316, 409)(317, 416)(318, 410)(319, 415)(320, 411)(321, 441)(322, 448)(323, 447)(324, 442)(325, 444)(326, 445)(327, 446)(328, 443)(329, 430)(330, 425)(331, 429)(332, 426)(333, 432)(334, 427)(335, 431)(336, 428)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E21.2582
Transitivity :: VT+
Graph:: bipartite
	v = 56 e = 224 f = 128
	degree seq :: [ 8^56 ]

E21.2586 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 56})
Quotient :: regular
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-4)^2, (T1^-2 * T2)^4, T1^7 * T2 * T1^-7 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 101, 95, 78, 56, 75, 59, 34, 17, 29, 49, 70, 88, 104, 111, 109, 96, 79, 57, 32, 52, 72, 60, 35, 53, 73, 90, 106, 112, 110, 94, 80, 58, 33, 16, 28, 48, 69, 61, 76, 92, 108, 100, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 55, 77, 93, 102, 91, 71, 46, 24, 45, 38, 20, 9, 19, 37, 62, 81, 97, 103, 86, 74, 50, 26, 12, 25, 47, 40, 21, 39, 63, 82, 98, 105, 87, 67, 54, 30, 14, 6, 13, 27, 51, 41, 64, 83, 99, 107, 89, 68, 44, 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, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 106)(91, 108)(93, 109)(97, 110)(99, 101)(100, 107)(103, 111)(105, 112)
	local type(s) :: { ( 8^56 ) }
Outer automorphisms :: reflexible
Dual of E21.2587
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 56 f = 14
	degree seq :: [ 56^2 ]

E21.2587 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 56})
Quotient :: regular
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, (T1^-1 * T2)^56 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 47, 52, 50, 39, 49, 38, 48)(44, 53, 51, 56, 46, 55, 45, 54)(57, 65, 60, 68, 59, 67, 58, 66)(61, 69, 64, 72, 63, 71, 62, 70)(73, 81, 76, 84, 75, 83, 74, 82)(77, 85, 80, 88, 79, 87, 78, 86)(89, 97, 92, 100, 91, 99, 90, 98)(93, 101, 96, 104, 95, 103, 94, 102)(105, 109, 108, 112, 107, 111, 106, 110)
	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, 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)
	local type(s) :: { ( 56^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2586
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 56 f = 2
	degree seq :: [ 8^14 ]

E21.2588 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 56})
Quotient :: edge
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3)^7 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 48, 41, 29, 40, 27, 38)(31, 42, 53, 46, 35, 45, 33, 43)(47, 57, 51, 60, 50, 59, 49, 58)(52, 61, 56, 64, 55, 63, 54, 62)(65, 73, 68, 76, 67, 75, 66, 74)(69, 77, 72, 80, 71, 79, 70, 78)(81, 89, 84, 92, 83, 91, 82, 90)(85, 93, 88, 96, 87, 95, 86, 94)(97, 105, 100, 108, 99, 107, 98, 106)(101, 109, 104, 112, 103, 111, 102, 110)(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, 143)(133, 145)(134, 144)(135, 147)(136, 148)(140, 146)(149, 159)(150, 161)(151, 160)(152, 162)(153, 163)(154, 164)(155, 166)(156, 165)(157, 167)(158, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(190, 198)(191, 199)(192, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 221)(218, 222)(219, 223)(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) :: { ( 112, 112 ), ( 112^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2592
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 112 f = 2
	degree seq :: [ 2^56, 8^14 ]

E21.2589 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 56})
Quotient :: edge
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-2 * T2, (T2^-3 * T1)^2, T1^8, T2^-1 * T1^-1 * T2^2 * T1^-2 * T2^-3 * T1, T2^10 * T1^-1 * T2^-4 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 64, 80, 96, 102, 86, 70, 54, 38, 18, 6, 17, 36, 53, 69, 85, 101, 111, 104, 88, 72, 56, 41, 30, 34, 21, 42, 58, 74, 90, 106, 112, 103, 87, 71, 55, 39, 20, 13, 28, 43, 59, 75, 91, 107, 100, 84, 68, 52, 33, 15, 5)(2, 7, 19, 40, 57, 73, 89, 105, 95, 79, 63, 47, 26, 35, 16, 14, 31, 50, 66, 82, 98, 110, 94, 78, 62, 46, 24, 11, 27, 37, 32, 51, 67, 83, 99, 109, 93, 77, 61, 45, 23, 9, 4, 12, 29, 49, 65, 81, 97, 108, 92, 76, 60, 44, 22, 8)(113, 114, 118, 128, 146, 139, 125, 116)(115, 121, 129, 120, 133, 147, 140, 123)(117, 126, 130, 149, 142, 124, 132, 119)(122, 136, 148, 135, 154, 134, 155, 138)(127, 144, 150, 141, 153, 131, 151, 143)(137, 159, 165, 158, 170, 157, 171, 156)(145, 161, 166, 152, 168, 162, 167, 163)(160, 172, 181, 175, 186, 174, 187, 173)(164, 169, 182, 178, 184, 179, 183, 177)(176, 189, 197, 188, 202, 191, 203, 190)(180, 194, 198, 195, 200, 193, 199, 185)(192, 206, 213, 205, 218, 204, 219, 207)(196, 211, 214, 209, 216, 201, 215, 210)(208, 217, 223, 222, 224, 221, 212, 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) :: { ( 4^8 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E21.2593
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 112 f = 56
	degree seq :: [ 8^14, 56^2 ]

E21.2590 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 56})
Quotient :: edge
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-4)^2, (T1^-2 * T2)^4, T1^7 * T2 * T1^-7 * 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, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 106)(91, 108)(93, 109)(97, 110)(99, 101)(100, 107)(103, 111)(105, 112)(113, 114, 117, 123, 135, 155, 178, 197, 213, 207, 190, 168, 187, 171, 146, 129, 141, 161, 182, 200, 216, 223, 221, 208, 191, 169, 144, 164, 184, 172, 147, 165, 185, 202, 218, 224, 222, 206, 192, 170, 145, 128, 140, 160, 181, 173, 188, 204, 220, 212, 196, 177, 154, 134, 122, 116)(115, 119, 127, 143, 167, 189, 205, 214, 203, 183, 158, 136, 157, 150, 132, 121, 131, 149, 174, 193, 209, 215, 198, 186, 162, 138, 124, 137, 159, 152, 133, 151, 175, 194, 210, 217, 199, 179, 166, 142, 126, 118, 125, 139, 163, 153, 176, 195, 211, 219, 201, 180, 156, 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) :: { ( 16, 16 ), ( 16^56 ) }
Outer automorphisms :: reflexible
Dual of E21.2591
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 112 f = 14
	degree seq :: [ 2^56, 56^2 ]

E21.2591 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 56})
Quotient :: loop
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-3)^7 ]
Map::
	R = (1, 113, 3, 115, 8, 120, 17, 129, 28, 140, 19, 131, 10, 122, 4, 116)(2, 114, 5, 117, 12, 124, 22, 134, 34, 146, 24, 136, 14, 126, 6, 118)(7, 119, 15, 127, 26, 138, 39, 151, 30, 142, 18, 130, 9, 121, 16, 128)(11, 123, 20, 132, 32, 144, 44, 156, 36, 148, 23, 135, 13, 125, 21, 133)(25, 137, 37, 149, 48, 160, 41, 153, 29, 141, 40, 152, 27, 139, 38, 150)(31, 143, 42, 154, 53, 165, 46, 158, 35, 147, 45, 157, 33, 145, 43, 155)(47, 159, 57, 169, 51, 163, 60, 172, 50, 162, 59, 171, 49, 161, 58, 170)(52, 164, 61, 173, 56, 168, 64, 176, 55, 167, 63, 175, 54, 166, 62, 174)(65, 177, 73, 185, 68, 180, 76, 188, 67, 179, 75, 187, 66, 178, 74, 186)(69, 181, 77, 189, 72, 184, 80, 192, 71, 183, 79, 191, 70, 182, 78, 190)(81, 193, 89, 201, 84, 196, 92, 204, 83, 195, 91, 203, 82, 194, 90, 202)(85, 197, 93, 205, 88, 200, 96, 208, 87, 199, 95, 207, 86, 198, 94, 206)(97, 209, 105, 217, 100, 212, 108, 220, 99, 211, 107, 219, 98, 210, 106, 218)(101, 213, 109, 221, 104, 216, 112, 224, 103, 215, 111, 223, 102, 214, 110, 222)
	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, 143)(21, 145)(22, 144)(23, 147)(24, 148)(25, 127)(26, 129)(27, 128)(28, 146)(29, 130)(30, 131)(31, 132)(32, 134)(33, 133)(34, 140)(35, 135)(36, 136)(37, 159)(38, 161)(39, 160)(40, 162)(41, 163)(42, 164)(43, 166)(44, 165)(45, 167)(46, 168)(47, 149)(48, 151)(49, 150)(50, 152)(51, 153)(52, 154)(53, 156)(54, 155)(55, 157)(56, 158)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(105, 221)(106, 222)(107, 223)(108, 224)(109, 217)(110, 218)(111, 219)(112, 220)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.2590
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 112 f = 58
	degree seq :: [ 16^14 ]

E21.2592 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 56})
Quotient :: loop
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-2 * T2, (T2^-3 * T1)^2, T1^8, T2^-1 * T1^-1 * T2^2 * T1^-2 * T2^-3 * T1, T2^10 * T1^-1 * T2^-4 * T1^-1 ]
Map::
	R = (1, 113, 3, 115, 10, 122, 25, 137, 48, 160, 64, 176, 80, 192, 96, 208, 102, 214, 86, 198, 70, 182, 54, 166, 38, 150, 18, 130, 6, 118, 17, 129, 36, 148, 53, 165, 69, 181, 85, 197, 101, 213, 111, 223, 104, 216, 88, 200, 72, 184, 56, 168, 41, 153, 30, 142, 34, 146, 21, 133, 42, 154, 58, 170, 74, 186, 90, 202, 106, 218, 112, 224, 103, 215, 87, 199, 71, 183, 55, 167, 39, 151, 20, 132, 13, 125, 28, 140, 43, 155, 59, 171, 75, 187, 91, 203, 107, 219, 100, 212, 84, 196, 68, 180, 52, 164, 33, 145, 15, 127, 5, 117)(2, 114, 7, 119, 19, 131, 40, 152, 57, 169, 73, 185, 89, 201, 105, 217, 95, 207, 79, 191, 63, 175, 47, 159, 26, 138, 35, 147, 16, 128, 14, 126, 31, 143, 50, 162, 66, 178, 82, 194, 98, 210, 110, 222, 94, 206, 78, 190, 62, 174, 46, 158, 24, 136, 11, 123, 27, 139, 37, 149, 32, 144, 51, 163, 67, 179, 83, 195, 99, 211, 109, 221, 93, 205, 77, 189, 61, 173, 45, 157, 23, 135, 9, 121, 4, 116, 12, 124, 29, 141, 49, 161, 65, 177, 81, 193, 97, 209, 108, 220, 92, 204, 76, 188, 60, 172, 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, 161)(34, 139)(35, 140)(36, 135)(37, 142)(38, 141)(39, 143)(40, 168)(41, 131)(42, 134)(43, 138)(44, 137)(45, 171)(46, 170)(47, 165)(48, 172)(49, 166)(50, 167)(51, 145)(52, 169)(53, 158)(54, 152)(55, 163)(56, 162)(57, 182)(58, 157)(59, 156)(60, 181)(61, 160)(62, 187)(63, 186)(64, 189)(65, 164)(66, 184)(67, 183)(68, 194)(69, 175)(70, 178)(71, 177)(72, 179)(73, 180)(74, 174)(75, 173)(76, 202)(77, 197)(78, 176)(79, 203)(80, 206)(81, 199)(82, 198)(83, 200)(84, 211)(85, 188)(86, 195)(87, 185)(88, 193)(89, 215)(90, 191)(91, 190)(92, 219)(93, 218)(94, 213)(95, 192)(96, 217)(97, 216)(98, 196)(99, 214)(100, 220)(101, 205)(102, 209)(103, 210)(104, 201)(105, 223)(106, 204)(107, 207)(108, 208)(109, 212)(110, 224)(111, 222)(112, 221)
	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 E21.2588
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 112 f = 70
	degree seq :: [ 112^2 ]

E21.2593 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 56})
Quotient :: loop
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-4)^2, (T1^-2 * T2)^4, T1^7 * T2 * T1^-7 * T2 ]
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, 56, 168)(36, 148, 61, 173)(37, 149, 57, 169)(38, 150, 60, 172)(39, 151, 58, 170)(40, 152, 59, 171)(42, 154, 55, 167)(43, 155, 67, 179)(45, 157, 69, 181)(46, 158, 70, 182)(47, 159, 72, 184)(50, 162, 73, 185)(51, 163, 75, 187)(54, 166, 76, 188)(62, 174, 78, 190)(63, 175, 79, 191)(64, 176, 80, 192)(65, 177, 81, 193)(66, 178, 86, 198)(68, 180, 88, 200)(71, 183, 90, 202)(74, 186, 92, 204)(77, 189, 94, 206)(82, 194, 95, 207)(83, 195, 96, 208)(84, 196, 98, 210)(85, 197, 102, 214)(87, 199, 104, 216)(89, 201, 106, 218)(91, 203, 108, 220)(93, 205, 109, 221)(97, 209, 110, 222)(99, 211, 101, 213)(100, 212, 107, 219)(103, 215, 111, 223)(105, 217, 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, 167)(32, 164)(33, 128)(34, 129)(35, 165)(36, 130)(37, 174)(38, 132)(39, 175)(40, 133)(41, 176)(42, 134)(43, 178)(44, 148)(45, 150)(46, 136)(47, 152)(48, 181)(49, 182)(50, 138)(51, 153)(52, 184)(53, 185)(54, 142)(55, 189)(56, 187)(57, 144)(58, 145)(59, 146)(60, 147)(61, 188)(62, 193)(63, 194)(64, 195)(65, 154)(66, 197)(67, 166)(68, 156)(69, 173)(70, 200)(71, 158)(72, 172)(73, 202)(74, 162)(75, 171)(76, 204)(77, 205)(78, 168)(79, 169)(80, 170)(81, 209)(82, 210)(83, 211)(84, 177)(85, 213)(86, 186)(87, 179)(88, 216)(89, 180)(90, 218)(91, 183)(92, 220)(93, 214)(94, 192)(95, 190)(96, 191)(97, 215)(98, 217)(99, 219)(100, 196)(101, 207)(102, 203)(103, 198)(104, 223)(105, 199)(106, 224)(107, 201)(108, 212)(109, 208)(110, 206)(111, 221)(112, 222)
	local type(s) :: { ( 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.2589
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 56 e = 112 f = 16
	degree seq :: [ 4^56 ]

E21.2594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * 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, 31, 143)(21, 133, 33, 145)(22, 134, 32, 144)(23, 135, 35, 147)(24, 136, 36, 148)(28, 140, 34, 146)(37, 149, 47, 159)(38, 150, 49, 161)(39, 151, 48, 160)(40, 152, 50, 162)(41, 153, 51, 163)(42, 154, 52, 164)(43, 155, 54, 166)(44, 156, 53, 165)(45, 157, 55, 167)(46, 158, 56, 168)(57, 169, 65, 177)(58, 170, 66, 178)(59, 171, 67, 179)(60, 172, 68, 180)(61, 173, 69, 181)(62, 174, 70, 182)(63, 175, 71, 183)(64, 176, 72, 184)(73, 185, 81, 193)(74, 186, 82, 194)(75, 187, 83, 195)(76, 188, 84, 196)(77, 189, 85, 197)(78, 190, 86, 198)(79, 191, 87, 199)(80, 192, 88, 200)(89, 201, 97, 209)(90, 202, 98, 210)(91, 203, 99, 211)(92, 204, 100, 212)(93, 205, 101, 213)(94, 206, 102, 214)(95, 207, 103, 215)(96, 208, 104, 216)(105, 217, 109, 221)(106, 218, 110, 222)(107, 219, 111, 223)(108, 220, 112, 224)(225, 337, 227, 339, 232, 344, 241, 353, 252, 364, 243, 355, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 246, 358, 258, 370, 248, 360, 238, 350, 230, 342)(231, 343, 239, 351, 250, 362, 263, 375, 254, 366, 242, 354, 233, 345, 240, 352)(235, 347, 244, 356, 256, 368, 268, 380, 260, 372, 247, 359, 237, 349, 245, 357)(249, 361, 261, 373, 272, 384, 265, 377, 253, 365, 264, 376, 251, 363, 262, 374)(255, 367, 266, 378, 277, 389, 270, 382, 259, 371, 269, 381, 257, 369, 267, 379)(271, 383, 281, 393, 275, 387, 284, 396, 274, 386, 283, 395, 273, 385, 282, 394)(276, 388, 285, 397, 280, 392, 288, 400, 279, 391, 287, 399, 278, 390, 286, 398)(289, 401, 297, 409, 292, 404, 300, 412, 291, 403, 299, 411, 290, 402, 298, 410)(293, 405, 301, 413, 296, 408, 304, 416, 295, 407, 303, 415, 294, 406, 302, 414)(305, 417, 313, 425, 308, 420, 316, 428, 307, 419, 315, 427, 306, 418, 314, 426)(309, 421, 317, 429, 312, 424, 320, 432, 311, 423, 319, 431, 310, 422, 318, 430)(321, 433, 329, 441, 324, 436, 332, 444, 323, 435, 331, 443, 322, 434, 330, 442)(325, 437, 333, 445, 328, 440, 336, 448, 327, 439, 335, 447, 326, 438, 334, 446)
	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, 255)(21, 257)(22, 256)(23, 259)(24, 260)(25, 239)(26, 241)(27, 240)(28, 258)(29, 242)(30, 243)(31, 244)(32, 246)(33, 245)(34, 252)(35, 247)(36, 248)(37, 271)(38, 273)(39, 272)(40, 274)(41, 275)(42, 276)(43, 278)(44, 277)(45, 279)(46, 280)(47, 261)(48, 263)(49, 262)(50, 264)(51, 265)(52, 266)(53, 268)(54, 267)(55, 269)(56, 270)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 333)(106, 334)(107, 335)(108, 336)(109, 329)(110, 330)(111, 331)(112, 332)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2597
Graph:: bipartite
	v = 70 e = 224 f = 114
	degree seq :: [ 4^56, 16^14 ]

E21.2595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y1^8, (Y2^-3 * Y1)^2, Y2^10 * Y1 * Y2^-3 * Y1^-1 * Y2 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 26, 138)(15, 127, 32, 144, 38, 150, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143)(25, 137, 47, 159, 53, 165, 46, 158, 58, 170, 45, 157, 59, 171, 44, 156)(33, 145, 49, 161, 54, 166, 40, 152, 56, 168, 50, 162, 55, 167, 51, 163)(48, 160, 60, 172, 69, 181, 63, 175, 74, 186, 62, 174, 75, 187, 61, 173)(52, 164, 57, 169, 70, 182, 66, 178, 72, 184, 67, 179, 71, 183, 65, 177)(64, 176, 77, 189, 85, 197, 76, 188, 90, 202, 79, 191, 91, 203, 78, 190)(68, 180, 82, 194, 86, 198, 83, 195, 88, 200, 81, 193, 87, 199, 73, 185)(80, 192, 94, 206, 101, 213, 93, 205, 106, 218, 92, 204, 107, 219, 95, 207)(84, 196, 99, 211, 102, 214, 97, 209, 104, 216, 89, 201, 103, 215, 98, 210)(96, 208, 105, 217, 111, 223, 110, 222, 112, 224, 109, 221, 100, 212, 108, 220)(225, 337, 227, 339, 234, 346, 249, 361, 272, 384, 288, 400, 304, 416, 320, 432, 326, 438, 310, 422, 294, 406, 278, 390, 262, 374, 242, 354, 230, 342, 241, 353, 260, 372, 277, 389, 293, 405, 309, 421, 325, 437, 335, 447, 328, 440, 312, 424, 296, 408, 280, 392, 265, 377, 254, 366, 258, 370, 245, 357, 266, 378, 282, 394, 298, 410, 314, 426, 330, 442, 336, 448, 327, 439, 311, 423, 295, 407, 279, 391, 263, 375, 244, 356, 237, 349, 252, 364, 267, 379, 283, 395, 299, 411, 315, 427, 331, 443, 324, 436, 308, 420, 292, 404, 276, 388, 257, 369, 239, 351, 229, 341)(226, 338, 231, 343, 243, 355, 264, 376, 281, 393, 297, 409, 313, 425, 329, 441, 319, 431, 303, 415, 287, 399, 271, 383, 250, 362, 259, 371, 240, 352, 238, 350, 255, 367, 274, 386, 290, 402, 306, 418, 322, 434, 334, 446, 318, 430, 302, 414, 286, 398, 270, 382, 248, 360, 235, 347, 251, 363, 261, 373, 256, 368, 275, 387, 291, 403, 307, 419, 323, 435, 333, 445, 317, 429, 301, 413, 285, 397, 269, 381, 247, 359, 233, 345, 228, 340, 236, 348, 253, 365, 273, 385, 289, 401, 305, 417, 321, 433, 332, 444, 316, 428, 300, 412, 284, 396, 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, 259)(27, 261)(28, 267)(29, 273)(30, 258)(31, 274)(32, 275)(33, 239)(34, 245)(35, 240)(36, 277)(37, 256)(38, 242)(39, 244)(40, 281)(41, 254)(42, 282)(43, 283)(44, 246)(45, 247)(46, 248)(47, 250)(48, 288)(49, 289)(50, 290)(51, 291)(52, 257)(53, 293)(54, 262)(55, 263)(56, 265)(57, 297)(58, 298)(59, 299)(60, 268)(61, 269)(62, 270)(63, 271)(64, 304)(65, 305)(66, 306)(67, 307)(68, 276)(69, 309)(70, 278)(71, 279)(72, 280)(73, 313)(74, 314)(75, 315)(76, 284)(77, 285)(78, 286)(79, 287)(80, 320)(81, 321)(82, 322)(83, 323)(84, 292)(85, 325)(86, 294)(87, 295)(88, 296)(89, 329)(90, 330)(91, 331)(92, 300)(93, 301)(94, 302)(95, 303)(96, 326)(97, 332)(98, 334)(99, 333)(100, 308)(101, 335)(102, 310)(103, 311)(104, 312)(105, 319)(106, 336)(107, 324)(108, 316)(109, 317)(110, 318)(111, 328)(112, 327)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2596
Graph:: bipartite
	v = 16 e = 224 f = 168
	degree seq :: [ 16^14, 112^2 ]

E21.2596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|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, (Y3^4 * Y2)^2, (Y3^-2 * Y2)^4, Y3^-2 * Y2 * Y3^11 * Y2 * Y3^-1, (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, 278, 390)(261, 373, 270, 382)(262, 374, 276, 388)(263, 375, 268, 380)(264, 376, 274, 386)(266, 378, 272, 384)(279, 391, 294, 406)(280, 392, 299, 411)(281, 393, 292, 404)(282, 394, 298, 410)(283, 395, 290, 402)(284, 396, 297, 409)(285, 397, 301, 413)(286, 398, 295, 407)(287, 399, 293, 405)(288, 400, 291, 403)(289, 401, 305, 417)(296, 408, 309, 421)(300, 412, 313, 425)(302, 414, 315, 427)(303, 415, 314, 426)(304, 416, 318, 430)(306, 418, 311, 423)(307, 419, 310, 422)(308, 420, 322, 434)(312, 424, 326, 438)(316, 428, 330, 442)(317, 429, 329, 441)(319, 431, 331, 443)(320, 432, 328, 440)(321, 433, 325, 437)(323, 435, 327, 439)(324, 436, 332, 444)(333, 445, 335, 447)(334, 446, 336, 448)
	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, 286)(38, 244)(39, 287)(40, 245)(41, 288)(42, 246)(43, 290)(44, 248)(45, 292)(46, 249)(47, 294)(48, 296)(49, 297)(50, 252)(51, 298)(52, 253)(53, 299)(54, 254)(55, 265)(56, 256)(57, 264)(58, 258)(59, 262)(60, 259)(61, 304)(62, 305)(63, 306)(64, 307)(65, 266)(66, 277)(67, 268)(68, 276)(69, 270)(70, 274)(71, 271)(72, 312)(73, 313)(74, 314)(75, 315)(76, 278)(77, 280)(78, 282)(79, 284)(80, 320)(81, 321)(82, 322)(83, 323)(84, 289)(85, 291)(86, 293)(87, 295)(88, 328)(89, 329)(90, 330)(91, 331)(92, 300)(93, 301)(94, 302)(95, 303)(96, 327)(97, 334)(98, 333)(99, 332)(100, 308)(101, 309)(102, 310)(103, 311)(104, 319)(105, 336)(106, 335)(107, 324)(108, 316)(109, 317)(110, 318)(111, 325)(112, 326)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 16, 112 ), ( 16, 112, 16, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.2595
Graph:: simple bipartite
	v = 168 e = 224 f = 16
	degree seq :: [ 2^112, 4^56 ]

E21.2597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^4 * Y3)^2, (Y1^-2 * Y3)^4, Y1^-4 * Y3 * Y1^3 * Y3 * Y1^-7 ]
Map::
	R = (1, 113, 2, 114, 5, 117, 11, 123, 23, 135, 43, 155, 66, 178, 85, 197, 101, 213, 95, 207, 78, 190, 56, 168, 75, 187, 59, 171, 34, 146, 17, 129, 29, 141, 49, 161, 70, 182, 88, 200, 104, 216, 111, 223, 109, 221, 96, 208, 79, 191, 57, 169, 32, 144, 52, 164, 72, 184, 60, 172, 35, 147, 53, 165, 73, 185, 90, 202, 106, 218, 112, 224, 110, 222, 94, 206, 80, 192, 58, 170, 33, 145, 16, 128, 28, 140, 48, 160, 69, 181, 61, 173, 76, 188, 92, 204, 108, 220, 100, 212, 84, 196, 65, 177, 42, 154, 22, 134, 10, 122, 4, 116)(3, 115, 7, 119, 15, 127, 31, 143, 55, 167, 77, 189, 93, 205, 102, 214, 91, 203, 71, 183, 46, 158, 24, 136, 45, 157, 38, 150, 20, 132, 9, 121, 19, 131, 37, 149, 62, 174, 81, 193, 97, 209, 103, 215, 86, 198, 74, 186, 50, 162, 26, 138, 12, 124, 25, 137, 47, 159, 40, 152, 21, 133, 39, 151, 63, 175, 82, 194, 98, 210, 105, 217, 87, 199, 67, 179, 54, 166, 30, 142, 14, 126, 6, 118, 13, 125, 27, 139, 51, 163, 41, 153, 64, 176, 83, 195, 99, 211, 107, 219, 89, 201, 68, 180, 44, 156, 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, 280)(32, 239)(33, 243)(34, 244)(35, 242)(36, 285)(37, 281)(38, 284)(39, 282)(40, 283)(41, 246)(42, 279)(43, 291)(44, 247)(45, 293)(46, 294)(47, 296)(48, 249)(49, 250)(50, 297)(51, 299)(52, 251)(53, 254)(54, 300)(55, 266)(56, 255)(57, 261)(58, 263)(59, 264)(60, 262)(61, 260)(62, 302)(63, 303)(64, 304)(65, 305)(66, 310)(67, 267)(68, 312)(69, 269)(70, 270)(71, 314)(72, 271)(73, 274)(74, 316)(75, 275)(76, 278)(77, 318)(78, 286)(79, 287)(80, 288)(81, 289)(82, 319)(83, 320)(84, 322)(85, 326)(86, 290)(87, 328)(88, 292)(89, 330)(90, 295)(91, 332)(92, 298)(93, 333)(94, 301)(95, 306)(96, 307)(97, 334)(98, 308)(99, 325)(100, 331)(101, 323)(102, 309)(103, 335)(104, 311)(105, 336)(106, 313)(107, 324)(108, 315)(109, 317)(110, 321)(111, 327)(112, 329)(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, 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, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2594
Graph:: simple bipartite
	v = 114 e = 224 f = 70
	degree seq :: [ 2^112, 112^2 ]

E21.2598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|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, (Y2^4 * Y1)^2, (Y2^-2 * Y1)^4, Y2^3 * Y1 * Y2^-11 * Y1, (Y2^-1 * R * Y2^-6)^2, (Y3 * Y2^-1)^8 ]
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, 54, 166)(37, 149, 46, 158)(38, 150, 52, 164)(39, 151, 44, 156)(40, 152, 50, 162)(42, 154, 48, 160)(55, 167, 70, 182)(56, 168, 75, 187)(57, 169, 68, 180)(58, 170, 74, 186)(59, 171, 66, 178)(60, 172, 73, 185)(61, 173, 77, 189)(62, 174, 71, 183)(63, 175, 69, 181)(64, 176, 67, 179)(65, 177, 81, 193)(72, 184, 85, 197)(76, 188, 89, 201)(78, 190, 91, 203)(79, 191, 90, 202)(80, 192, 94, 206)(82, 194, 87, 199)(83, 195, 86, 198)(84, 196, 98, 210)(88, 200, 102, 214)(92, 204, 106, 218)(93, 205, 105, 217)(95, 207, 107, 219)(96, 208, 104, 216)(97, 209, 101, 213)(99, 211, 103, 215)(100, 212, 108, 220)(109, 221, 111, 223)(110, 222, 112, 224)(225, 337, 227, 339, 232, 344, 242, 354, 260, 372, 285, 397, 304, 416, 320, 432, 327, 439, 311, 423, 295, 407, 271, 383, 294, 406, 274, 386, 252, 364, 237, 349, 251, 363, 273, 385, 297, 409, 313, 425, 329, 441, 336, 448, 326, 438, 310, 422, 293, 405, 270, 382, 249, 361, 269, 381, 292, 404, 276, 388, 253, 365, 275, 387, 298, 410, 314, 426, 330, 442, 335, 447, 325, 437, 309, 421, 291, 403, 268, 380, 248, 360, 235, 347, 247, 359, 267, 379, 290, 402, 277, 389, 299, 411, 315, 427, 331, 443, 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, 319, 431, 303, 415, 284, 396, 259, 371, 283, 395, 262, 374, 244, 356, 233, 345, 243, 355, 261, 373, 286, 398, 305, 417, 321, 433, 334, 446, 318, 430, 302, 414, 282, 394, 258, 370, 241, 353, 257, 369, 281, 393, 264, 376, 245, 357, 263, 375, 287, 399, 306, 418, 322, 434, 333, 445, 317, 429, 301, 413, 280, 392, 256, 368, 240, 352, 231, 343, 239, 351, 255, 367, 279, 391, 265, 377, 288, 400, 307, 419, 323, 435, 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, 278)(37, 270)(38, 276)(39, 268)(40, 274)(41, 246)(42, 272)(43, 257)(44, 263)(45, 255)(46, 261)(47, 250)(48, 266)(49, 258)(50, 264)(51, 256)(52, 262)(53, 254)(54, 260)(55, 294)(56, 299)(57, 292)(58, 298)(59, 290)(60, 297)(61, 301)(62, 295)(63, 293)(64, 291)(65, 305)(66, 283)(67, 288)(68, 281)(69, 287)(70, 279)(71, 286)(72, 309)(73, 284)(74, 282)(75, 280)(76, 313)(77, 285)(78, 315)(79, 314)(80, 318)(81, 289)(82, 311)(83, 310)(84, 322)(85, 296)(86, 307)(87, 306)(88, 326)(89, 300)(90, 303)(91, 302)(92, 330)(93, 329)(94, 304)(95, 331)(96, 328)(97, 325)(98, 308)(99, 327)(100, 332)(101, 321)(102, 312)(103, 323)(104, 320)(105, 317)(106, 316)(107, 319)(108, 324)(109, 335)(110, 336)(111, 333)(112, 334)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E21.2599
Graph:: bipartite
	v = 58 e = 224 f = 126
	degree seq :: [ 4^56, 112^2 ]

E21.2599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C8 x D14 (small group id <112, 3>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-1, Y1^8, Y1^2 * Y3^-14, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 26, 138)(15, 127, 32, 144, 38, 150, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143)(25, 137, 47, 159, 53, 165, 46, 158, 58, 170, 45, 157, 59, 171, 44, 156)(33, 145, 49, 161, 54, 166, 40, 152, 56, 168, 50, 162, 55, 167, 51, 163)(48, 160, 60, 172, 69, 181, 63, 175, 74, 186, 62, 174, 75, 187, 61, 173)(52, 164, 57, 169, 70, 182, 66, 178, 72, 184, 67, 179, 71, 183, 65, 177)(64, 176, 77, 189, 85, 197, 76, 188, 90, 202, 79, 191, 91, 203, 78, 190)(68, 180, 82, 194, 86, 198, 83, 195, 88, 200, 81, 193, 87, 199, 73, 185)(80, 192, 94, 206, 101, 213, 93, 205, 106, 218, 92, 204, 107, 219, 95, 207)(84, 196, 99, 211, 102, 214, 97, 209, 104, 216, 89, 201, 103, 215, 98, 210)(96, 208, 105, 217, 111, 223, 110, 222, 112, 224, 109, 221, 100, 212, 108, 220)(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, 259)(27, 261)(28, 267)(29, 273)(30, 258)(31, 274)(32, 275)(33, 239)(34, 245)(35, 240)(36, 277)(37, 256)(38, 242)(39, 244)(40, 281)(41, 254)(42, 282)(43, 283)(44, 246)(45, 247)(46, 248)(47, 250)(48, 288)(49, 289)(50, 290)(51, 291)(52, 257)(53, 293)(54, 262)(55, 263)(56, 265)(57, 297)(58, 298)(59, 299)(60, 268)(61, 269)(62, 270)(63, 271)(64, 304)(65, 305)(66, 306)(67, 307)(68, 276)(69, 309)(70, 278)(71, 279)(72, 280)(73, 313)(74, 314)(75, 315)(76, 284)(77, 285)(78, 286)(79, 287)(80, 320)(81, 321)(82, 322)(83, 323)(84, 292)(85, 325)(86, 294)(87, 295)(88, 296)(89, 329)(90, 330)(91, 331)(92, 300)(93, 301)(94, 302)(95, 303)(96, 326)(97, 332)(98, 334)(99, 333)(100, 308)(101, 335)(102, 310)(103, 311)(104, 312)(105, 319)(106, 336)(107, 324)(108, 316)(109, 317)(110, 318)(111, 328)(112, 327)(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 ) }
Outer automorphisms :: reflexible
Dual of E21.2598
Graph:: simple bipartite
	v = 126 e = 224 f = 58
	degree seq :: [ 2^112, 16^14 ]

E21.2600 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 56})
Quotient :: regular
Aut^+ = C56 : C2 (small group id <112, 4>)
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 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^4)^2, (T1^-2 * T2)^4, T2 * T1^-5 * T2 * T1^9 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 101, 94, 80, 58, 33, 16, 28, 48, 69, 61, 76, 92, 108, 112, 109, 96, 79, 57, 32, 52, 72, 60, 35, 53, 73, 90, 106, 111, 110, 95, 78, 56, 75, 59, 34, 17, 29, 49, 70, 88, 104, 100, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 55, 77, 93, 105, 87, 67, 54, 30, 14, 6, 13, 27, 51, 41, 64, 83, 99, 103, 86, 74, 50, 26, 12, 25, 47, 40, 21, 39, 63, 82, 98, 102, 91, 71, 46, 24, 45, 38, 20, 9, 19, 37, 62, 81, 97, 107, 89, 68, 44, 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, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 106)(91, 108)(93, 109)(97, 101)(99, 110)(100, 103)(105, 111)(107, 112)
	local type(s) :: { ( 8^56 ) }
Outer automorphisms :: reflexible
Dual of E21.2601
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 56 f = 14
	degree seq :: [ 56^2 ]

E21.2601 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 56})
Quotient :: regular
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, T1 * T2 * T1^3 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 47, 52, 50, 39, 49, 38, 48)(44, 53, 51, 56, 46, 55, 45, 54)(57, 65, 60, 68, 59, 67, 58, 66)(61, 69, 64, 72, 63, 71, 62, 70)(73, 81, 76, 84, 75, 83, 74, 82)(77, 85, 80, 88, 79, 87, 78, 86)(89, 97, 92, 100, 91, 99, 90, 98)(93, 101, 96, 104, 95, 103, 94, 102)(105, 111, 108, 110, 107, 109, 106, 112)
	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, 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)
	local type(s) :: { ( 56^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2600
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 56 f = 2
	degree seq :: [ 8^14 ]

E21.2602 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 56})
Quotient :: edge
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, (T2^-1 * T1 * T2^-3)^2, 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 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 48, 41, 29, 40, 27, 38)(31, 42, 53, 46, 35, 45, 33, 43)(47, 57, 51, 60, 50, 59, 49, 58)(52, 61, 56, 64, 55, 63, 54, 62)(65, 73, 68, 76, 67, 75, 66, 74)(69, 77, 72, 80, 71, 79, 70, 78)(81, 89, 84, 92, 83, 91, 82, 90)(85, 93, 88, 96, 87, 95, 86, 94)(97, 105, 100, 108, 99, 107, 98, 106)(101, 109, 104, 112, 103, 111, 102, 110)(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, 143)(133, 145)(134, 144)(135, 147)(136, 148)(140, 146)(149, 159)(150, 161)(151, 160)(152, 162)(153, 163)(154, 164)(155, 166)(156, 165)(157, 167)(158, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(190, 198)(191, 199)(192, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 223)(218, 224)(219, 221)(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 ), ( 112^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2606
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 112 f = 2
	degree seq :: [ 2^56, 8^14 ]

E21.2603 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 56})
Quotient :: edge
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1^8, (T2^-3 * T1)^2, T1 * T2^10 * T1 * T2^-4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 64, 80, 96, 103, 87, 71, 55, 39, 20, 13, 28, 43, 59, 75, 91, 107, 112, 104, 88, 72, 56, 41, 30, 34, 21, 42, 58, 74, 90, 106, 111, 102, 86, 70, 54, 38, 18, 6, 17, 36, 53, 69, 85, 101, 100, 84, 68, 52, 33, 15, 5)(2, 7, 19, 40, 57, 73, 89, 105, 93, 77, 61, 45, 23, 9, 4, 12, 29, 49, 65, 81, 97, 109, 94, 78, 62, 46, 24, 11, 27, 37, 32, 51, 67, 83, 99, 110, 95, 79, 63, 47, 26, 35, 16, 14, 31, 50, 66, 82, 98, 108, 92, 76, 60, 44, 22, 8)(113, 114, 118, 128, 146, 139, 125, 116)(115, 121, 129, 120, 133, 147, 140, 123)(117, 126, 130, 149, 142, 124, 132, 119)(122, 136, 148, 135, 154, 134, 155, 138)(127, 144, 150, 141, 153, 131, 151, 143)(137, 159, 165, 158, 170, 157, 171, 156)(145, 161, 166, 152, 168, 162, 167, 163)(160, 172, 181, 175, 186, 174, 187, 173)(164, 169, 182, 178, 184, 179, 183, 177)(176, 189, 197, 188, 202, 191, 203, 190)(180, 194, 198, 195, 200, 193, 199, 185)(192, 206, 213, 205, 218, 204, 219, 207)(196, 211, 214, 209, 216, 201, 215, 210)(208, 222, 212, 221, 223, 217, 224, 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) :: { ( 4^8 ), ( 4^56 ) }
Outer automorphisms :: reflexible
Dual of E21.2607
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 112 f = 56
	degree seq :: [ 8^14, 56^2 ]

E21.2604 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 56})
Quotient :: edge
Aut^+ = C56 : C2 (small group id <112, 4>)
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 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^4)^2, (T1^-2 * T2)^4, T2 * T1^-5 * T2 * T1^9 ]
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, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 106)(91, 108)(93, 109)(97, 101)(99, 110)(100, 103)(105, 111)(107, 112)(113, 114, 117, 123, 135, 155, 178, 197, 213, 206, 192, 170, 145, 128, 140, 160, 181, 173, 188, 204, 220, 224, 221, 208, 191, 169, 144, 164, 184, 172, 147, 165, 185, 202, 218, 223, 222, 207, 190, 168, 187, 171, 146, 129, 141, 161, 182, 200, 216, 212, 196, 177, 154, 134, 122, 116)(115, 119, 127, 143, 167, 189, 205, 217, 199, 179, 166, 142, 126, 118, 125, 139, 163, 153, 176, 195, 211, 215, 198, 186, 162, 138, 124, 137, 159, 152, 133, 151, 175, 194, 210, 214, 203, 183, 158, 136, 157, 150, 132, 121, 131, 149, 174, 193, 209, 219, 201, 180, 156, 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) :: { ( 16, 16 ), ( 16^56 ) }
Outer automorphisms :: reflexible
Dual of E21.2605
Transitivity :: ET+
Graph:: simple bipartite
	v = 58 e = 112 f = 14
	degree seq :: [ 2^56, 56^2 ]

E21.2605 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 56})
Quotient :: loop
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, (T2^-1 * T1 * T2^-3)^2, 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 * T1 ]
Map::
	R = (1, 113, 3, 115, 8, 120, 17, 129, 28, 140, 19, 131, 10, 122, 4, 116)(2, 114, 5, 117, 12, 124, 22, 134, 34, 146, 24, 136, 14, 126, 6, 118)(7, 119, 15, 127, 26, 138, 39, 151, 30, 142, 18, 130, 9, 121, 16, 128)(11, 123, 20, 132, 32, 144, 44, 156, 36, 148, 23, 135, 13, 125, 21, 133)(25, 137, 37, 149, 48, 160, 41, 153, 29, 141, 40, 152, 27, 139, 38, 150)(31, 143, 42, 154, 53, 165, 46, 158, 35, 147, 45, 157, 33, 145, 43, 155)(47, 159, 57, 169, 51, 163, 60, 172, 50, 162, 59, 171, 49, 161, 58, 170)(52, 164, 61, 173, 56, 168, 64, 176, 55, 167, 63, 175, 54, 166, 62, 174)(65, 177, 73, 185, 68, 180, 76, 188, 67, 179, 75, 187, 66, 178, 74, 186)(69, 181, 77, 189, 72, 184, 80, 192, 71, 183, 79, 191, 70, 182, 78, 190)(81, 193, 89, 201, 84, 196, 92, 204, 83, 195, 91, 203, 82, 194, 90, 202)(85, 197, 93, 205, 88, 200, 96, 208, 87, 199, 95, 207, 86, 198, 94, 206)(97, 209, 105, 217, 100, 212, 108, 220, 99, 211, 107, 219, 98, 210, 106, 218)(101, 213, 109, 221, 104, 216, 112, 224, 103, 215, 111, 223, 102, 214, 110, 222)
	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, 143)(21, 145)(22, 144)(23, 147)(24, 148)(25, 127)(26, 129)(27, 128)(28, 146)(29, 130)(30, 131)(31, 132)(32, 134)(33, 133)(34, 140)(35, 135)(36, 136)(37, 159)(38, 161)(39, 160)(40, 162)(41, 163)(42, 164)(43, 166)(44, 165)(45, 167)(46, 168)(47, 149)(48, 151)(49, 150)(50, 152)(51, 153)(52, 154)(53, 156)(54, 155)(55, 157)(56, 158)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(105, 223)(106, 224)(107, 221)(108, 222)(109, 219)(110, 220)(111, 217)(112, 218)
	local type(s) :: { ( 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56, 2, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.2604
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 112 f = 58
	degree seq :: [ 16^14 ]

E21.2606 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 56})
Quotient :: loop
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1^8, (T2^-3 * T1)^2, T1 * T2^10 * T1 * T2^-4 ]
Map::
	R = (1, 113, 3, 115, 10, 122, 25, 137, 48, 160, 64, 176, 80, 192, 96, 208, 103, 215, 87, 199, 71, 183, 55, 167, 39, 151, 20, 132, 13, 125, 28, 140, 43, 155, 59, 171, 75, 187, 91, 203, 107, 219, 112, 224, 104, 216, 88, 200, 72, 184, 56, 168, 41, 153, 30, 142, 34, 146, 21, 133, 42, 154, 58, 170, 74, 186, 90, 202, 106, 218, 111, 223, 102, 214, 86, 198, 70, 182, 54, 166, 38, 150, 18, 130, 6, 118, 17, 129, 36, 148, 53, 165, 69, 181, 85, 197, 101, 213, 100, 212, 84, 196, 68, 180, 52, 164, 33, 145, 15, 127, 5, 117)(2, 114, 7, 119, 19, 131, 40, 152, 57, 169, 73, 185, 89, 201, 105, 217, 93, 205, 77, 189, 61, 173, 45, 157, 23, 135, 9, 121, 4, 116, 12, 124, 29, 141, 49, 161, 65, 177, 81, 193, 97, 209, 109, 221, 94, 206, 78, 190, 62, 174, 46, 158, 24, 136, 11, 123, 27, 139, 37, 149, 32, 144, 51, 163, 67, 179, 83, 195, 99, 211, 110, 222, 95, 207, 79, 191, 63, 175, 47, 159, 26, 138, 35, 147, 16, 128, 14, 126, 31, 143, 50, 162, 66, 178, 82, 194, 98, 210, 108, 220, 92, 204, 76, 188, 60, 172, 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, 161)(34, 139)(35, 140)(36, 135)(37, 142)(38, 141)(39, 143)(40, 168)(41, 131)(42, 134)(43, 138)(44, 137)(45, 171)(46, 170)(47, 165)(48, 172)(49, 166)(50, 167)(51, 145)(52, 169)(53, 158)(54, 152)(55, 163)(56, 162)(57, 182)(58, 157)(59, 156)(60, 181)(61, 160)(62, 187)(63, 186)(64, 189)(65, 164)(66, 184)(67, 183)(68, 194)(69, 175)(70, 178)(71, 177)(72, 179)(73, 180)(74, 174)(75, 173)(76, 202)(77, 197)(78, 176)(79, 203)(80, 206)(81, 199)(82, 198)(83, 200)(84, 211)(85, 188)(86, 195)(87, 185)(88, 193)(89, 215)(90, 191)(91, 190)(92, 219)(93, 218)(94, 213)(95, 192)(96, 222)(97, 216)(98, 196)(99, 214)(100, 221)(101, 205)(102, 209)(103, 210)(104, 201)(105, 224)(106, 204)(107, 207)(108, 208)(109, 223)(110, 212)(111, 217)(112, 220)
	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 E21.2602
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 112 f = 70
	degree seq :: [ 112^2 ]

E21.2607 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 56})
Quotient :: loop
Aut^+ = C56 : C2 (small group id <112, 4>)
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 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^4)^2, (T1^-2 * T2)^4, T2 * T1^-5 * T2 * T1^9 ]
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, 56, 168)(36, 148, 61, 173)(37, 149, 57, 169)(38, 150, 60, 172)(39, 151, 58, 170)(40, 152, 59, 171)(42, 154, 55, 167)(43, 155, 67, 179)(45, 157, 69, 181)(46, 158, 70, 182)(47, 159, 72, 184)(50, 162, 73, 185)(51, 163, 75, 187)(54, 166, 76, 188)(62, 174, 78, 190)(63, 175, 79, 191)(64, 176, 80, 192)(65, 177, 81, 193)(66, 178, 86, 198)(68, 180, 88, 200)(71, 183, 90, 202)(74, 186, 92, 204)(77, 189, 94, 206)(82, 194, 95, 207)(83, 195, 96, 208)(84, 196, 98, 210)(85, 197, 102, 214)(87, 199, 104, 216)(89, 201, 106, 218)(91, 203, 108, 220)(93, 205, 109, 221)(97, 209, 101, 213)(99, 211, 110, 222)(100, 212, 103, 215)(105, 217, 111, 223)(107, 219, 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, 167)(32, 164)(33, 128)(34, 129)(35, 165)(36, 130)(37, 174)(38, 132)(39, 175)(40, 133)(41, 176)(42, 134)(43, 178)(44, 148)(45, 150)(46, 136)(47, 152)(48, 181)(49, 182)(50, 138)(51, 153)(52, 184)(53, 185)(54, 142)(55, 189)(56, 187)(57, 144)(58, 145)(59, 146)(60, 147)(61, 188)(62, 193)(63, 194)(64, 195)(65, 154)(66, 197)(67, 166)(68, 156)(69, 173)(70, 200)(71, 158)(72, 172)(73, 202)(74, 162)(75, 171)(76, 204)(77, 205)(78, 168)(79, 169)(80, 170)(81, 209)(82, 210)(83, 211)(84, 177)(85, 213)(86, 186)(87, 179)(88, 216)(89, 180)(90, 218)(91, 183)(92, 220)(93, 217)(94, 192)(95, 190)(96, 191)(97, 219)(98, 214)(99, 215)(100, 196)(101, 206)(102, 203)(103, 198)(104, 212)(105, 199)(106, 223)(107, 201)(108, 224)(109, 208)(110, 207)(111, 222)(112, 221)
	local type(s) :: { ( 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E21.2603
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 56 e = 112 f = 16
	degree seq :: [ 4^56 ]

E21.2608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C56 : C2 (small group id <112, 4>)
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 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * 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, 31, 143)(21, 133, 33, 145)(22, 134, 32, 144)(23, 135, 35, 147)(24, 136, 36, 148)(28, 140, 34, 146)(37, 149, 47, 159)(38, 150, 49, 161)(39, 151, 48, 160)(40, 152, 50, 162)(41, 153, 51, 163)(42, 154, 52, 164)(43, 155, 54, 166)(44, 156, 53, 165)(45, 157, 55, 167)(46, 158, 56, 168)(57, 169, 65, 177)(58, 170, 66, 178)(59, 171, 67, 179)(60, 172, 68, 180)(61, 173, 69, 181)(62, 174, 70, 182)(63, 175, 71, 183)(64, 176, 72, 184)(73, 185, 81, 193)(74, 186, 82, 194)(75, 187, 83, 195)(76, 188, 84, 196)(77, 189, 85, 197)(78, 190, 86, 198)(79, 191, 87, 199)(80, 192, 88, 200)(89, 201, 97, 209)(90, 202, 98, 210)(91, 203, 99, 211)(92, 204, 100, 212)(93, 205, 101, 213)(94, 206, 102, 214)(95, 207, 103, 215)(96, 208, 104, 216)(105, 217, 111, 223)(106, 218, 112, 224)(107, 219, 109, 221)(108, 220, 110, 222)(225, 337, 227, 339, 232, 344, 241, 353, 252, 364, 243, 355, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 246, 358, 258, 370, 248, 360, 238, 350, 230, 342)(231, 343, 239, 351, 250, 362, 263, 375, 254, 366, 242, 354, 233, 345, 240, 352)(235, 347, 244, 356, 256, 368, 268, 380, 260, 372, 247, 359, 237, 349, 245, 357)(249, 361, 261, 373, 272, 384, 265, 377, 253, 365, 264, 376, 251, 363, 262, 374)(255, 367, 266, 378, 277, 389, 270, 382, 259, 371, 269, 381, 257, 369, 267, 379)(271, 383, 281, 393, 275, 387, 284, 396, 274, 386, 283, 395, 273, 385, 282, 394)(276, 388, 285, 397, 280, 392, 288, 400, 279, 391, 287, 399, 278, 390, 286, 398)(289, 401, 297, 409, 292, 404, 300, 412, 291, 403, 299, 411, 290, 402, 298, 410)(293, 405, 301, 413, 296, 408, 304, 416, 295, 407, 303, 415, 294, 406, 302, 414)(305, 417, 313, 425, 308, 420, 316, 428, 307, 419, 315, 427, 306, 418, 314, 426)(309, 421, 317, 429, 312, 424, 320, 432, 311, 423, 319, 431, 310, 422, 318, 430)(321, 433, 329, 441, 324, 436, 332, 444, 323, 435, 331, 443, 322, 434, 330, 442)(325, 437, 333, 445, 328, 440, 336, 448, 327, 439, 335, 447, 326, 438, 334, 446)
	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, 255)(21, 257)(22, 256)(23, 259)(24, 260)(25, 239)(26, 241)(27, 240)(28, 258)(29, 242)(30, 243)(31, 244)(32, 246)(33, 245)(34, 252)(35, 247)(36, 248)(37, 271)(38, 273)(39, 272)(40, 274)(41, 275)(42, 276)(43, 278)(44, 277)(45, 279)(46, 280)(47, 261)(48, 263)(49, 262)(50, 264)(51, 265)(52, 266)(53, 268)(54, 267)(55, 269)(56, 270)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 335)(106, 336)(107, 333)(108, 334)(109, 331)(110, 332)(111, 329)(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) :: { ( 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 E21.2611
Graph:: bipartite
	v = 70 e = 224 f = 114
	degree seq :: [ 4^56, 16^14 ]

E21.2609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y1^8, (Y2^-3 * Y1)^2, Y2^10 * Y1 * Y2^-4 * Y1 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 26, 138)(15, 127, 32, 144, 38, 150, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143)(25, 137, 47, 159, 53, 165, 46, 158, 58, 170, 45, 157, 59, 171, 44, 156)(33, 145, 49, 161, 54, 166, 40, 152, 56, 168, 50, 162, 55, 167, 51, 163)(48, 160, 60, 172, 69, 181, 63, 175, 74, 186, 62, 174, 75, 187, 61, 173)(52, 164, 57, 169, 70, 182, 66, 178, 72, 184, 67, 179, 71, 183, 65, 177)(64, 176, 77, 189, 85, 197, 76, 188, 90, 202, 79, 191, 91, 203, 78, 190)(68, 180, 82, 194, 86, 198, 83, 195, 88, 200, 81, 193, 87, 199, 73, 185)(80, 192, 94, 206, 101, 213, 93, 205, 106, 218, 92, 204, 107, 219, 95, 207)(84, 196, 99, 211, 102, 214, 97, 209, 104, 216, 89, 201, 103, 215, 98, 210)(96, 208, 110, 222, 100, 212, 109, 221, 111, 223, 105, 217, 112, 224, 108, 220)(225, 337, 227, 339, 234, 346, 249, 361, 272, 384, 288, 400, 304, 416, 320, 432, 327, 439, 311, 423, 295, 407, 279, 391, 263, 375, 244, 356, 237, 349, 252, 364, 267, 379, 283, 395, 299, 411, 315, 427, 331, 443, 336, 448, 328, 440, 312, 424, 296, 408, 280, 392, 265, 377, 254, 366, 258, 370, 245, 357, 266, 378, 282, 394, 298, 410, 314, 426, 330, 442, 335, 447, 326, 438, 310, 422, 294, 406, 278, 390, 262, 374, 242, 354, 230, 342, 241, 353, 260, 372, 277, 389, 293, 405, 309, 421, 325, 437, 324, 436, 308, 420, 292, 404, 276, 388, 257, 369, 239, 351, 229, 341)(226, 338, 231, 343, 243, 355, 264, 376, 281, 393, 297, 409, 313, 425, 329, 441, 317, 429, 301, 413, 285, 397, 269, 381, 247, 359, 233, 345, 228, 340, 236, 348, 253, 365, 273, 385, 289, 401, 305, 417, 321, 433, 333, 445, 318, 430, 302, 414, 286, 398, 270, 382, 248, 360, 235, 347, 251, 363, 261, 373, 256, 368, 275, 387, 291, 403, 307, 419, 323, 435, 334, 446, 319, 431, 303, 415, 287, 399, 271, 383, 250, 362, 259, 371, 240, 352, 238, 350, 255, 367, 274, 386, 290, 402, 306, 418, 322, 434, 332, 444, 316, 428, 300, 412, 284, 396, 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, 259)(27, 261)(28, 267)(29, 273)(30, 258)(31, 274)(32, 275)(33, 239)(34, 245)(35, 240)(36, 277)(37, 256)(38, 242)(39, 244)(40, 281)(41, 254)(42, 282)(43, 283)(44, 246)(45, 247)(46, 248)(47, 250)(48, 288)(49, 289)(50, 290)(51, 291)(52, 257)(53, 293)(54, 262)(55, 263)(56, 265)(57, 297)(58, 298)(59, 299)(60, 268)(61, 269)(62, 270)(63, 271)(64, 304)(65, 305)(66, 306)(67, 307)(68, 276)(69, 309)(70, 278)(71, 279)(72, 280)(73, 313)(74, 314)(75, 315)(76, 284)(77, 285)(78, 286)(79, 287)(80, 320)(81, 321)(82, 322)(83, 323)(84, 292)(85, 325)(86, 294)(87, 295)(88, 296)(89, 329)(90, 330)(91, 331)(92, 300)(93, 301)(94, 302)(95, 303)(96, 327)(97, 333)(98, 332)(99, 334)(100, 308)(101, 324)(102, 310)(103, 311)(104, 312)(105, 317)(106, 335)(107, 336)(108, 316)(109, 318)(110, 319)(111, 326)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E21.2610
Graph:: bipartite
	v = 16 e = 224 f = 168
	degree seq :: [ 16^14, 112^2 ]

E21.2610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C56 : C2 (small group id <112, 4>)
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, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^4 * Y2)^2, (Y3^-2 * Y2)^4, Y3^-10 * Y2 * Y3 * Y2 * Y3^-3, (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, 278, 390)(261, 373, 270, 382)(262, 374, 276, 388)(263, 375, 268, 380)(264, 376, 274, 386)(266, 378, 272, 384)(279, 391, 294, 406)(280, 392, 299, 411)(281, 393, 292, 404)(282, 394, 298, 410)(283, 395, 290, 402)(284, 396, 297, 409)(285, 397, 301, 413)(286, 398, 295, 407)(287, 399, 293, 405)(288, 400, 291, 403)(289, 401, 305, 417)(296, 408, 309, 421)(300, 412, 313, 425)(302, 414, 315, 427)(303, 415, 314, 426)(304, 416, 318, 430)(306, 418, 311, 423)(307, 419, 310, 422)(308, 420, 322, 434)(312, 424, 326, 438)(316, 428, 330, 442)(317, 429, 329, 441)(319, 431, 331, 443)(320, 432, 334, 446)(321, 433, 325, 437)(323, 435, 327, 439)(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, 286)(38, 244)(39, 287)(40, 245)(41, 288)(42, 246)(43, 290)(44, 248)(45, 292)(46, 249)(47, 294)(48, 296)(49, 297)(50, 252)(51, 298)(52, 253)(53, 299)(54, 254)(55, 265)(56, 256)(57, 264)(58, 258)(59, 262)(60, 259)(61, 304)(62, 305)(63, 306)(64, 307)(65, 266)(66, 277)(67, 268)(68, 276)(69, 270)(70, 274)(71, 271)(72, 312)(73, 313)(74, 314)(75, 315)(76, 278)(77, 280)(78, 282)(79, 284)(80, 320)(81, 321)(82, 322)(83, 323)(84, 289)(85, 291)(86, 293)(87, 295)(88, 328)(89, 329)(90, 330)(91, 331)(92, 300)(93, 301)(94, 302)(95, 303)(96, 325)(97, 332)(98, 334)(99, 333)(100, 308)(101, 309)(102, 310)(103, 311)(104, 317)(105, 324)(106, 336)(107, 335)(108, 316)(109, 318)(110, 319)(111, 326)(112, 327)(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) :: { ( 16, 112 ), ( 16, 112, 16, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.2609
Graph:: simple bipartite
	v = 168 e = 224 f = 16
	degree seq :: [ 2^112, 4^56 ]

E21.2611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C56 : C2 (small group id <112, 4>)
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, (Y1^4 * Y3)^2, (Y1^-2 * Y3)^4, Y1^-9 * Y3 * Y1 * Y3 * Y1^-4 ]
Map::
	R = (1, 113, 2, 114, 5, 117, 11, 123, 23, 135, 43, 155, 66, 178, 85, 197, 101, 213, 94, 206, 80, 192, 58, 170, 33, 145, 16, 128, 28, 140, 48, 160, 69, 181, 61, 173, 76, 188, 92, 204, 108, 220, 112, 224, 109, 221, 96, 208, 79, 191, 57, 169, 32, 144, 52, 164, 72, 184, 60, 172, 35, 147, 53, 165, 73, 185, 90, 202, 106, 218, 111, 223, 110, 222, 95, 207, 78, 190, 56, 168, 75, 187, 59, 171, 34, 146, 17, 129, 29, 141, 49, 161, 70, 182, 88, 200, 104, 216, 100, 212, 84, 196, 65, 177, 42, 154, 22, 134, 10, 122, 4, 116)(3, 115, 7, 119, 15, 127, 31, 143, 55, 167, 77, 189, 93, 205, 105, 217, 87, 199, 67, 179, 54, 166, 30, 142, 14, 126, 6, 118, 13, 125, 27, 139, 51, 163, 41, 153, 64, 176, 83, 195, 99, 211, 103, 215, 86, 198, 74, 186, 50, 162, 26, 138, 12, 124, 25, 137, 47, 159, 40, 152, 21, 133, 39, 151, 63, 175, 82, 194, 98, 210, 102, 214, 91, 203, 71, 183, 46, 158, 24, 136, 45, 157, 38, 150, 20, 132, 9, 121, 19, 131, 37, 149, 62, 174, 81, 193, 97, 209, 107, 219, 89, 201, 68, 180, 44, 156, 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, 280)(32, 239)(33, 243)(34, 244)(35, 242)(36, 285)(37, 281)(38, 284)(39, 282)(40, 283)(41, 246)(42, 279)(43, 291)(44, 247)(45, 293)(46, 294)(47, 296)(48, 249)(49, 250)(50, 297)(51, 299)(52, 251)(53, 254)(54, 300)(55, 266)(56, 255)(57, 261)(58, 263)(59, 264)(60, 262)(61, 260)(62, 302)(63, 303)(64, 304)(65, 305)(66, 310)(67, 267)(68, 312)(69, 269)(70, 270)(71, 314)(72, 271)(73, 274)(74, 316)(75, 275)(76, 278)(77, 318)(78, 286)(79, 287)(80, 288)(81, 289)(82, 319)(83, 320)(84, 322)(85, 326)(86, 290)(87, 328)(88, 292)(89, 330)(90, 295)(91, 332)(92, 298)(93, 333)(94, 301)(95, 306)(96, 307)(97, 325)(98, 308)(99, 334)(100, 327)(101, 321)(102, 309)(103, 324)(104, 311)(105, 335)(106, 313)(107, 336)(108, 315)(109, 317)(110, 323)(111, 329)(112, 331)(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, 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, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2608
Graph:: simple bipartite
	v = 114 e = 224 f = 70
	degree seq :: [ 2^112, 112^2 ]

E21.2612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C56 : C2 (small group id <112, 4>)
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 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-4 * Y1)^2, (Y2^-2 * Y1)^4, (Y2^-1 * Y1 * R * Y2^-4)^2, Y2^-6 * Y1 * Y2^5 * Y1 * Y2^-3, (Y3 * Y2^-1)^8 ]
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, 54, 166)(37, 149, 46, 158)(38, 150, 52, 164)(39, 151, 44, 156)(40, 152, 50, 162)(42, 154, 48, 160)(55, 167, 70, 182)(56, 168, 75, 187)(57, 169, 68, 180)(58, 170, 74, 186)(59, 171, 66, 178)(60, 172, 73, 185)(61, 173, 77, 189)(62, 174, 71, 183)(63, 175, 69, 181)(64, 176, 67, 179)(65, 177, 81, 193)(72, 184, 85, 197)(76, 188, 89, 201)(78, 190, 91, 203)(79, 191, 90, 202)(80, 192, 94, 206)(82, 194, 87, 199)(83, 195, 86, 198)(84, 196, 98, 210)(88, 200, 102, 214)(92, 204, 106, 218)(93, 205, 105, 217)(95, 207, 107, 219)(96, 208, 110, 222)(97, 209, 101, 213)(99, 211, 103, 215)(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, 325, 437, 309, 421, 291, 403, 268, 380, 248, 360, 235, 347, 247, 359, 267, 379, 290, 402, 277, 389, 299, 411, 315, 427, 331, 443, 335, 447, 326, 438, 310, 422, 293, 405, 270, 382, 249, 361, 269, 381, 292, 404, 276, 388, 253, 365, 275, 387, 298, 410, 314, 426, 330, 442, 336, 448, 327, 439, 311, 423, 295, 407, 271, 383, 294, 406, 274, 386, 252, 364, 237, 349, 251, 363, 273, 385, 297, 409, 313, 425, 329, 441, 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, 317, 429, 301, 413, 280, 392, 256, 368, 240, 352, 231, 343, 239, 351, 255, 367, 279, 391, 265, 377, 288, 400, 307, 419, 323, 435, 333, 445, 318, 430, 302, 414, 282, 394, 258, 370, 241, 353, 257, 369, 281, 393, 264, 376, 245, 357, 263, 375, 287, 399, 306, 418, 322, 434, 334, 446, 319, 431, 303, 415, 284, 396, 259, 371, 283, 395, 262, 374, 244, 356, 233, 345, 243, 355, 261, 373, 286, 398, 305, 417, 321, 433, 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, 278)(37, 270)(38, 276)(39, 268)(40, 274)(41, 246)(42, 272)(43, 257)(44, 263)(45, 255)(46, 261)(47, 250)(48, 266)(49, 258)(50, 264)(51, 256)(52, 262)(53, 254)(54, 260)(55, 294)(56, 299)(57, 292)(58, 298)(59, 290)(60, 297)(61, 301)(62, 295)(63, 293)(64, 291)(65, 305)(66, 283)(67, 288)(68, 281)(69, 287)(70, 279)(71, 286)(72, 309)(73, 284)(74, 282)(75, 280)(76, 313)(77, 285)(78, 315)(79, 314)(80, 318)(81, 289)(82, 311)(83, 310)(84, 322)(85, 296)(86, 307)(87, 306)(88, 326)(89, 300)(90, 303)(91, 302)(92, 330)(93, 329)(94, 304)(95, 331)(96, 334)(97, 325)(98, 308)(99, 327)(100, 333)(101, 321)(102, 312)(103, 323)(104, 336)(105, 317)(106, 316)(107, 319)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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 E21.2613
Graph:: bipartite
	v = 58 e = 224 f = 126
	degree seq :: [ 4^56, 112^2 ]

E21.2613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 56})
Quotient :: dipole
Aut^+ = C56 : C2 (small group id <112, 4>)
Aut   = (D8 x D14) : C2 (small group id <224, 109>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y1^-1)^2, Y1^8, Y3^-13 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^56 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 27, 139, 13, 125, 4, 116)(3, 115, 9, 121, 17, 129, 8, 120, 21, 133, 35, 147, 28, 140, 11, 123)(5, 117, 14, 126, 18, 130, 37, 149, 30, 142, 12, 124, 20, 132, 7, 119)(10, 122, 24, 136, 36, 148, 23, 135, 42, 154, 22, 134, 43, 155, 26, 138)(15, 127, 32, 144, 38, 150, 29, 141, 41, 153, 19, 131, 39, 151, 31, 143)(25, 137, 47, 159, 53, 165, 46, 158, 58, 170, 45, 157, 59, 171, 44, 156)(33, 145, 49, 161, 54, 166, 40, 152, 56, 168, 50, 162, 55, 167, 51, 163)(48, 160, 60, 172, 69, 181, 63, 175, 74, 186, 62, 174, 75, 187, 61, 173)(52, 164, 57, 169, 70, 182, 66, 178, 72, 184, 67, 179, 71, 183, 65, 177)(64, 176, 77, 189, 85, 197, 76, 188, 90, 202, 79, 191, 91, 203, 78, 190)(68, 180, 82, 194, 86, 198, 83, 195, 88, 200, 81, 193, 87, 199, 73, 185)(80, 192, 94, 206, 101, 213, 93, 205, 106, 218, 92, 204, 107, 219, 95, 207)(84, 196, 99, 211, 102, 214, 97, 209, 104, 216, 89, 201, 103, 215, 98, 210)(96, 208, 110, 222, 100, 212, 109, 221, 111, 223, 105, 217, 112, 224, 108, 220)(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, 259)(27, 261)(28, 267)(29, 273)(30, 258)(31, 274)(32, 275)(33, 239)(34, 245)(35, 240)(36, 277)(37, 256)(38, 242)(39, 244)(40, 281)(41, 254)(42, 282)(43, 283)(44, 246)(45, 247)(46, 248)(47, 250)(48, 288)(49, 289)(50, 290)(51, 291)(52, 257)(53, 293)(54, 262)(55, 263)(56, 265)(57, 297)(58, 298)(59, 299)(60, 268)(61, 269)(62, 270)(63, 271)(64, 304)(65, 305)(66, 306)(67, 307)(68, 276)(69, 309)(70, 278)(71, 279)(72, 280)(73, 313)(74, 314)(75, 315)(76, 284)(77, 285)(78, 286)(79, 287)(80, 320)(81, 321)(82, 322)(83, 323)(84, 292)(85, 325)(86, 294)(87, 295)(88, 296)(89, 329)(90, 330)(91, 331)(92, 300)(93, 301)(94, 302)(95, 303)(96, 327)(97, 333)(98, 332)(99, 334)(100, 308)(101, 324)(102, 310)(103, 311)(104, 312)(105, 317)(106, 335)(107, 336)(108, 316)(109, 318)(110, 319)(111, 326)(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) :: { ( 4, 112 ), ( 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112, 4, 112 ) }
Outer automorphisms :: reflexible
Dual of E21.2612
Graph:: simple bipartite
	v = 126 e = 224 f = 58
	degree seq :: [ 2^112, 16^14 ]

E21.2614 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, Y3 * Y1^-1 * Y2 * Y1, R * Y2 * R * Y3, (R * Y1)^2, (Y3 * Y2 * Y1^-1 * Y3 * Y2)^2, (Y3 * Y2)^5, (Y3 * Y2 * Y3 * Y1 * Y2)^2, (Y1 * Y2 * Y3 * Y2 * Y1 * Y2)^2 ]
Map::
	R = (1, 122, 2, 125, 5, 121)(3, 127, 7, 129, 9, 123)(4, 130, 10, 132, 12, 124)(6, 133, 13, 135, 15, 126)(8, 137, 17, 139, 19, 128)(11, 142, 22, 144, 24, 131)(14, 147, 27, 149, 29, 134)(16, 140, 20, 152, 32, 136)(18, 154, 34, 156, 36, 138)(21, 145, 25, 160, 40, 141)(23, 162, 42, 164, 44, 143)(26, 150, 30, 168, 48, 146)(28, 170, 50, 172, 52, 148)(31, 175, 55, 177, 57, 151)(33, 157, 37, 180, 60, 153)(35, 182, 62, 184, 64, 155)(38, 178, 58, 188, 68, 158)(39, 189, 69, 190, 70, 159)(41, 165, 45, 193, 73, 161)(43, 194, 74, 171, 51, 163)(46, 191, 71, 197, 77, 166)(47, 198, 78, 199, 79, 167)(49, 173, 53, 202, 82, 169)(54, 200, 80, 207, 87, 174)(56, 208, 88, 196, 76, 176)(59, 210, 90, 211, 91, 179)(61, 185, 65, 214, 94, 181)(63, 215, 95, 204, 84, 183)(66, 212, 92, 203, 83, 186)(67, 195, 75, 216, 96, 187)(72, 221, 101, 222, 102, 192)(81, 217, 97, 223, 103, 201)(85, 224, 104, 220, 100, 205)(86, 209, 89, 226, 106, 206)(93, 231, 111, 232, 112, 213)(98, 219, 99, 227, 107, 218)(105, 237, 117, 230, 110, 225)(108, 229, 109, 235, 115, 228)(113, 234, 114, 236, 116, 233)(118, 239, 119, 240, 120, 238)
	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, 49)(30, 54)(31, 56)(32, 57)(34, 61)(35, 63)(36, 64)(37, 66)(39, 65)(40, 70)(42, 67)(45, 59)(47, 62)(48, 79)(50, 83)(51, 84)(52, 74)(53, 85)(55, 86)(58, 81)(60, 91)(68, 96)(69, 98)(71, 100)(72, 78)(73, 102)(75, 93)(76, 95)(77, 88)(80, 99)(82, 103)(87, 106)(89, 105)(90, 108)(92, 110)(94, 112)(97, 109)(101, 113)(104, 116)(107, 115)(111, 118)(114, 119)(117, 120)(121, 124)(122, 127)(123, 128)(125, 133)(126, 134)(129, 140)(130, 142)(131, 143)(132, 145)(135, 150)(136, 151)(137, 154)(138, 155)(139, 157)(141, 159)(144, 165)(146, 167)(147, 170)(148, 171)(149, 173)(152, 178)(153, 179)(156, 185)(158, 187)(160, 191)(161, 192)(162, 194)(163, 183)(164, 195)(166, 196)(168, 200)(169, 201)(172, 186)(174, 206)(175, 208)(176, 204)(177, 209)(180, 212)(181, 213)(182, 215)(184, 198)(188, 217)(189, 214)(190, 219)(193, 210)(197, 205)(199, 221)(202, 224)(203, 225)(207, 227)(211, 229)(216, 231)(218, 228)(220, 233)(222, 234)(223, 235)(226, 237)(230, 238)(232, 239)(236, 240)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 6^40 ]

E21.2615 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y2 * Y3 * Y1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^5, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, (Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 121, 4, 124, 5, 125)(2, 122, 7, 127, 8, 128)(3, 123, 10, 130, 11, 131)(6, 126, 15, 135, 16, 136)(9, 129, 20, 140, 21, 141)(12, 132, 13, 133, 25, 145)(14, 134, 28, 148, 29, 149)(17, 137, 18, 138, 33, 153)(19, 139, 36, 156, 37, 157)(22, 142, 23, 143, 41, 161)(24, 144, 44, 164, 45, 165)(26, 146, 46, 166, 48, 168)(27, 147, 50, 170, 51, 171)(30, 150, 31, 151, 55, 175)(32, 152, 58, 178, 59, 179)(34, 154, 60, 180, 62, 182)(35, 155, 63, 183, 64, 184)(38, 158, 39, 159, 66, 186)(40, 160, 69, 189, 70, 190)(42, 162, 71, 191, 72, 192)(43, 163, 73, 193, 74, 194)(47, 167, 78, 198, 79, 199)(49, 169, 81, 201, 82, 202)(52, 172, 53, 173, 83, 203)(54, 174, 85, 205, 86, 206)(56, 176, 87, 207, 88, 208)(57, 177, 89, 209, 65, 185)(61, 181, 68, 188, 93, 213)(67, 187, 95, 215, 96, 216)(75, 195, 76, 196, 101, 221)(77, 197, 80, 200, 102, 222)(84, 204, 103, 223, 104, 224)(90, 210, 91, 211, 109, 229)(92, 212, 94, 214, 110, 230)(97, 217, 98, 218, 113, 233)(99, 219, 100, 220, 114, 234)(105, 225, 106, 226, 117, 237)(107, 227, 108, 228, 118, 238)(111, 231, 112, 232, 119, 239)(115, 235, 116, 236, 120, 240)(241, 242)(243, 249)(244, 250)(245, 253)(246, 254)(247, 255)(248, 258)(251, 263)(252, 264)(256, 271)(257, 272)(259, 275)(260, 276)(261, 279)(262, 280)(265, 286)(266, 287)(267, 289)(268, 290)(269, 293)(270, 294)(273, 300)(274, 301)(277, 297)(278, 296)(281, 311)(282, 292)(283, 291)(284, 313)(285, 316)(288, 320)(295, 327)(298, 329)(299, 331)(302, 334)(303, 321)(304, 318)(305, 324)(306, 335)(307, 314)(308, 322)(309, 333)(310, 338)(312, 340)(315, 339)(317, 337)(319, 325)(323, 343)(326, 346)(328, 348)(330, 347)(332, 345)(336, 352)(341, 350)(342, 349)(344, 356)(351, 355)(353, 359)(354, 358)(357, 360)(361, 363)(362, 366)(364, 372)(365, 368)(367, 377)(369, 379)(370, 382)(371, 381)(373, 386)(374, 387)(375, 390)(376, 389)(378, 394)(380, 398)(383, 402)(384, 403)(385, 405)(388, 412)(391, 416)(392, 417)(393, 419)(395, 409)(396, 425)(397, 424)(399, 427)(400, 428)(401, 430)(404, 435)(406, 437)(407, 423)(408, 439)(410, 434)(411, 442)(413, 444)(414, 438)(415, 446)(418, 450)(420, 452)(421, 441)(422, 453)(426, 448)(429, 457)(431, 459)(432, 443)(433, 456)(436, 454)(440, 451)(445, 465)(447, 467)(449, 464)(455, 471)(458, 472)(460, 468)(461, 474)(462, 473)(463, 475)(466, 476)(469, 478)(470, 477)(479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2617
Graph:: simple bipartite
	v = 160 e = 240 f = 40
	degree seq :: [ 2^120, 6^40 ]

E21.2616 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 121, 4, 124)(2, 122, 5, 125)(3, 123, 6, 126)(7, 127, 13, 133)(8, 128, 14, 134)(9, 129, 15, 135)(10, 130, 16, 136)(11, 131, 17, 137)(12, 132, 18, 138)(19, 139, 31, 151)(20, 140, 32, 152)(21, 141, 33, 153)(22, 142, 34, 154)(23, 143, 35, 155)(24, 144, 36, 156)(25, 145, 37, 157)(26, 146, 38, 158)(27, 147, 39, 159)(28, 148, 40, 160)(29, 149, 41, 161)(30, 150, 42, 162)(43, 163, 67, 187)(44, 164, 68, 188)(45, 165, 69, 189)(46, 166, 70, 190)(47, 167, 71, 191)(48, 168, 72, 192)(49, 169, 73, 193)(50, 170, 74, 194)(51, 171, 75, 195)(52, 172, 76, 196)(53, 173, 77, 197)(54, 174, 78, 198)(55, 175, 79, 199)(56, 176, 80, 200)(57, 177, 81, 201)(58, 178, 82, 202)(59, 179, 83, 203)(60, 180, 84, 204)(61, 181, 85, 205)(62, 182, 86, 206)(63, 183, 87, 207)(64, 184, 88, 208)(65, 185, 89, 209)(66, 186, 90, 210)(91, 211, 103, 223)(92, 212, 104, 224)(93, 213, 105, 225)(94, 214, 106, 226)(95, 215, 107, 227)(96, 216, 108, 228)(97, 217, 109, 229)(98, 218, 110, 230)(99, 219, 111, 231)(100, 220, 112, 232)(101, 221, 113, 233)(102, 222, 114, 234)(115, 235, 118, 238)(116, 236, 119, 239)(117, 237, 120, 240)(241, 242, 243)(244, 247, 248)(245, 249, 250)(246, 251, 252)(253, 259, 260)(254, 261, 262)(255, 263, 264)(256, 265, 266)(257, 267, 268)(258, 269, 270)(271, 283, 284)(272, 285, 286)(273, 287, 288)(274, 289, 290)(275, 291, 292)(276, 293, 294)(277, 295, 296)(278, 297, 298)(279, 299, 300)(280, 301, 302)(281, 303, 304)(282, 305, 306)(307, 331, 322)(308, 326, 332)(309, 328, 333)(310, 334, 316)(311, 329, 335)(312, 336, 317)(313, 337, 319)(314, 323, 338)(315, 339, 330)(318, 340, 324)(320, 341, 325)(321, 342, 327)(343, 351, 350)(344, 355, 347)(345, 353, 348)(346, 356, 349)(352, 357, 354)(358, 360, 359)(361, 363, 362)(364, 368, 367)(365, 370, 369)(366, 372, 371)(373, 380, 379)(374, 382, 381)(375, 384, 383)(376, 386, 385)(377, 388, 387)(378, 390, 389)(391, 404, 403)(392, 406, 405)(393, 408, 407)(394, 410, 409)(395, 412, 411)(396, 414, 413)(397, 416, 415)(398, 418, 417)(399, 420, 419)(400, 422, 421)(401, 424, 423)(402, 426, 425)(427, 442, 451)(428, 452, 446)(429, 453, 448)(430, 436, 454)(431, 455, 449)(432, 437, 456)(433, 439, 457)(434, 458, 443)(435, 450, 459)(438, 444, 460)(440, 445, 461)(441, 447, 462)(463, 470, 471)(464, 467, 475)(465, 468, 473)(466, 469, 476)(472, 474, 477)(478, 479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2618
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 3^80, 4^60 ]

E21.2617 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, Y2 * Y3 * Y1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y1)^5, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, (Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 8, 128, 248, 368)(3, 123, 243, 363, 10, 130, 250, 370, 11, 131, 251, 371)(6, 126, 246, 366, 15, 135, 255, 375, 16, 136, 256, 376)(9, 129, 249, 369, 20, 140, 260, 380, 21, 141, 261, 381)(12, 132, 252, 372, 13, 133, 253, 373, 25, 145, 265, 385)(14, 134, 254, 374, 28, 148, 268, 388, 29, 149, 269, 389)(17, 137, 257, 377, 18, 138, 258, 378, 33, 153, 273, 393)(19, 139, 259, 379, 36, 156, 276, 396, 37, 157, 277, 397)(22, 142, 262, 382, 23, 143, 263, 383, 41, 161, 281, 401)(24, 144, 264, 384, 44, 164, 284, 404, 45, 165, 285, 405)(26, 146, 266, 386, 46, 166, 286, 406, 48, 168, 288, 408)(27, 147, 267, 387, 50, 170, 290, 410, 51, 171, 291, 411)(30, 150, 270, 390, 31, 151, 271, 391, 55, 175, 295, 415)(32, 152, 272, 392, 58, 178, 298, 418, 59, 179, 299, 419)(34, 154, 274, 394, 60, 180, 300, 420, 62, 182, 302, 422)(35, 155, 275, 395, 63, 183, 303, 423, 64, 184, 304, 424)(38, 158, 278, 398, 39, 159, 279, 399, 66, 186, 306, 426)(40, 160, 280, 400, 69, 189, 309, 429, 70, 190, 310, 430)(42, 162, 282, 402, 71, 191, 311, 431, 72, 192, 312, 432)(43, 163, 283, 403, 73, 193, 313, 433, 74, 194, 314, 434)(47, 167, 287, 407, 78, 198, 318, 438, 79, 199, 319, 439)(49, 169, 289, 409, 81, 201, 321, 441, 82, 202, 322, 442)(52, 172, 292, 412, 53, 173, 293, 413, 83, 203, 323, 443)(54, 174, 294, 414, 85, 205, 325, 445, 86, 206, 326, 446)(56, 176, 296, 416, 87, 207, 327, 447, 88, 208, 328, 448)(57, 177, 297, 417, 89, 209, 329, 449, 65, 185, 305, 425)(61, 181, 301, 421, 68, 188, 308, 428, 93, 213, 333, 453)(67, 187, 307, 427, 95, 215, 335, 455, 96, 216, 336, 456)(75, 195, 315, 435, 76, 196, 316, 436, 101, 221, 341, 461)(77, 197, 317, 437, 80, 200, 320, 440, 102, 222, 342, 462)(84, 204, 324, 444, 103, 223, 343, 463, 104, 224, 344, 464)(90, 210, 330, 450, 91, 211, 331, 451, 109, 229, 349, 469)(92, 212, 332, 452, 94, 214, 334, 454, 110, 230, 350, 470)(97, 217, 337, 457, 98, 218, 338, 458, 113, 233, 353, 473)(99, 219, 339, 459, 100, 220, 340, 460, 114, 234, 354, 474)(105, 225, 345, 465, 106, 226, 346, 466, 117, 237, 357, 477)(107, 227, 347, 467, 108, 228, 348, 468, 118, 238, 358, 478)(111, 231, 351, 471, 112, 232, 352, 472, 119, 239, 359, 479)(115, 235, 355, 475, 116, 236, 356, 476, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 129)(4, 130)(5, 133)(6, 134)(7, 135)(8, 138)(9, 123)(10, 124)(11, 143)(12, 144)(13, 125)(14, 126)(15, 127)(16, 151)(17, 152)(18, 128)(19, 155)(20, 156)(21, 159)(22, 160)(23, 131)(24, 132)(25, 166)(26, 167)(27, 169)(28, 170)(29, 173)(30, 174)(31, 136)(32, 137)(33, 180)(34, 181)(35, 139)(36, 140)(37, 177)(38, 176)(39, 141)(40, 142)(41, 191)(42, 172)(43, 171)(44, 193)(45, 196)(46, 145)(47, 146)(48, 200)(49, 147)(50, 148)(51, 163)(52, 162)(53, 149)(54, 150)(55, 207)(56, 158)(57, 157)(58, 209)(59, 211)(60, 153)(61, 154)(62, 214)(63, 201)(64, 198)(65, 204)(66, 215)(67, 194)(68, 202)(69, 213)(70, 218)(71, 161)(72, 220)(73, 164)(74, 187)(75, 219)(76, 165)(77, 217)(78, 184)(79, 205)(80, 168)(81, 183)(82, 188)(83, 223)(84, 185)(85, 199)(86, 226)(87, 175)(88, 228)(89, 178)(90, 227)(91, 179)(92, 225)(93, 189)(94, 182)(95, 186)(96, 232)(97, 197)(98, 190)(99, 195)(100, 192)(101, 230)(102, 229)(103, 203)(104, 236)(105, 212)(106, 206)(107, 210)(108, 208)(109, 222)(110, 221)(111, 235)(112, 216)(113, 239)(114, 238)(115, 231)(116, 224)(117, 240)(118, 234)(119, 233)(120, 237)(241, 363)(242, 366)(243, 361)(244, 372)(245, 368)(246, 362)(247, 377)(248, 365)(249, 379)(250, 382)(251, 381)(252, 364)(253, 386)(254, 387)(255, 390)(256, 389)(257, 367)(258, 394)(259, 369)(260, 398)(261, 371)(262, 370)(263, 402)(264, 403)(265, 405)(266, 373)(267, 374)(268, 412)(269, 376)(270, 375)(271, 416)(272, 417)(273, 419)(274, 378)(275, 409)(276, 425)(277, 424)(278, 380)(279, 427)(280, 428)(281, 430)(282, 383)(283, 384)(284, 435)(285, 385)(286, 437)(287, 423)(288, 439)(289, 395)(290, 434)(291, 442)(292, 388)(293, 444)(294, 438)(295, 446)(296, 391)(297, 392)(298, 450)(299, 393)(300, 452)(301, 441)(302, 453)(303, 407)(304, 397)(305, 396)(306, 448)(307, 399)(308, 400)(309, 457)(310, 401)(311, 459)(312, 443)(313, 456)(314, 410)(315, 404)(316, 454)(317, 406)(318, 414)(319, 408)(320, 451)(321, 421)(322, 411)(323, 432)(324, 413)(325, 465)(326, 415)(327, 467)(328, 426)(329, 464)(330, 418)(331, 440)(332, 420)(333, 422)(334, 436)(335, 471)(336, 433)(337, 429)(338, 472)(339, 431)(340, 468)(341, 474)(342, 473)(343, 475)(344, 449)(345, 445)(346, 476)(347, 447)(348, 460)(349, 478)(350, 477)(351, 455)(352, 458)(353, 462)(354, 461)(355, 463)(356, 466)(357, 470)(358, 469)(359, 480)(360, 479)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2615
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 240 f = 160
	degree seq :: [ 12^40 ]

E21.2618 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 5, 125, 245, 365)(3, 123, 243, 363, 6, 126, 246, 366)(7, 127, 247, 367, 13, 133, 253, 373)(8, 128, 248, 368, 14, 134, 254, 374)(9, 129, 249, 369, 15, 135, 255, 375)(10, 130, 250, 370, 16, 136, 256, 376)(11, 131, 251, 371, 17, 137, 257, 377)(12, 132, 252, 372, 18, 138, 258, 378)(19, 139, 259, 379, 31, 151, 271, 391)(20, 140, 260, 380, 32, 152, 272, 392)(21, 141, 261, 381, 33, 153, 273, 393)(22, 142, 262, 382, 34, 154, 274, 394)(23, 143, 263, 383, 35, 155, 275, 395)(24, 144, 264, 384, 36, 156, 276, 396)(25, 145, 265, 385, 37, 157, 277, 397)(26, 146, 266, 386, 38, 158, 278, 398)(27, 147, 267, 387, 39, 159, 279, 399)(28, 148, 268, 388, 40, 160, 280, 400)(29, 149, 269, 389, 41, 161, 281, 401)(30, 150, 270, 390, 42, 162, 282, 402)(43, 163, 283, 403, 67, 187, 307, 427)(44, 164, 284, 404, 68, 188, 308, 428)(45, 165, 285, 405, 69, 189, 309, 429)(46, 166, 286, 406, 70, 190, 310, 430)(47, 167, 287, 407, 71, 191, 311, 431)(48, 168, 288, 408, 72, 192, 312, 432)(49, 169, 289, 409, 73, 193, 313, 433)(50, 170, 290, 410, 74, 194, 314, 434)(51, 171, 291, 411, 75, 195, 315, 435)(52, 172, 292, 412, 76, 196, 316, 436)(53, 173, 293, 413, 77, 197, 317, 437)(54, 174, 294, 414, 78, 198, 318, 438)(55, 175, 295, 415, 79, 199, 319, 439)(56, 176, 296, 416, 80, 200, 320, 440)(57, 177, 297, 417, 81, 201, 321, 441)(58, 178, 298, 418, 82, 202, 322, 442)(59, 179, 299, 419, 83, 203, 323, 443)(60, 180, 300, 420, 84, 204, 324, 444)(61, 181, 301, 421, 85, 205, 325, 445)(62, 182, 302, 422, 86, 206, 326, 446)(63, 183, 303, 423, 87, 207, 327, 447)(64, 184, 304, 424, 88, 208, 328, 448)(65, 185, 305, 425, 89, 209, 329, 449)(66, 186, 306, 426, 90, 210, 330, 450)(91, 211, 331, 451, 103, 223, 343, 463)(92, 212, 332, 452, 104, 224, 344, 464)(93, 213, 333, 453, 105, 225, 345, 465)(94, 214, 334, 454, 106, 226, 346, 466)(95, 215, 335, 455, 107, 227, 347, 467)(96, 216, 336, 456, 108, 228, 348, 468)(97, 217, 337, 457, 109, 229, 349, 469)(98, 218, 338, 458, 110, 230, 350, 470)(99, 219, 339, 459, 111, 231, 351, 471)(100, 220, 340, 460, 112, 232, 352, 472)(101, 221, 341, 461, 113, 233, 353, 473)(102, 222, 342, 462, 114, 234, 354, 474)(115, 235, 355, 475, 118, 238, 358, 478)(116, 236, 356, 476, 119, 239, 359, 479)(117, 237, 357, 477, 120, 240, 360, 480)
	L = (1, 122)(2, 123)(3, 121)(4, 127)(5, 129)(6, 131)(7, 128)(8, 124)(9, 130)(10, 125)(11, 132)(12, 126)(13, 139)(14, 141)(15, 143)(16, 145)(17, 147)(18, 149)(19, 140)(20, 133)(21, 142)(22, 134)(23, 144)(24, 135)(25, 146)(26, 136)(27, 148)(28, 137)(29, 150)(30, 138)(31, 163)(32, 165)(33, 167)(34, 169)(35, 171)(36, 173)(37, 175)(38, 177)(39, 179)(40, 181)(41, 183)(42, 185)(43, 164)(44, 151)(45, 166)(46, 152)(47, 168)(48, 153)(49, 170)(50, 154)(51, 172)(52, 155)(53, 174)(54, 156)(55, 176)(56, 157)(57, 178)(58, 158)(59, 180)(60, 159)(61, 182)(62, 160)(63, 184)(64, 161)(65, 186)(66, 162)(67, 211)(68, 206)(69, 208)(70, 214)(71, 209)(72, 216)(73, 217)(74, 203)(75, 219)(76, 190)(77, 192)(78, 220)(79, 193)(80, 221)(81, 222)(82, 187)(83, 218)(84, 198)(85, 200)(86, 212)(87, 201)(88, 213)(89, 215)(90, 195)(91, 202)(92, 188)(93, 189)(94, 196)(95, 191)(96, 197)(97, 199)(98, 194)(99, 210)(100, 204)(101, 205)(102, 207)(103, 231)(104, 235)(105, 233)(106, 236)(107, 224)(108, 225)(109, 226)(110, 223)(111, 230)(112, 237)(113, 228)(114, 232)(115, 227)(116, 229)(117, 234)(118, 240)(119, 238)(120, 239)(241, 363)(242, 361)(243, 362)(244, 368)(245, 370)(246, 372)(247, 364)(248, 367)(249, 365)(250, 369)(251, 366)(252, 371)(253, 380)(254, 382)(255, 384)(256, 386)(257, 388)(258, 390)(259, 373)(260, 379)(261, 374)(262, 381)(263, 375)(264, 383)(265, 376)(266, 385)(267, 377)(268, 387)(269, 378)(270, 389)(271, 404)(272, 406)(273, 408)(274, 410)(275, 412)(276, 414)(277, 416)(278, 418)(279, 420)(280, 422)(281, 424)(282, 426)(283, 391)(284, 403)(285, 392)(286, 405)(287, 393)(288, 407)(289, 394)(290, 409)(291, 395)(292, 411)(293, 396)(294, 413)(295, 397)(296, 415)(297, 398)(298, 417)(299, 399)(300, 419)(301, 400)(302, 421)(303, 401)(304, 423)(305, 402)(306, 425)(307, 442)(308, 452)(309, 453)(310, 436)(311, 455)(312, 437)(313, 439)(314, 458)(315, 450)(316, 454)(317, 456)(318, 444)(319, 457)(320, 445)(321, 447)(322, 451)(323, 434)(324, 460)(325, 461)(326, 428)(327, 462)(328, 429)(329, 431)(330, 459)(331, 427)(332, 446)(333, 448)(334, 430)(335, 449)(336, 432)(337, 433)(338, 443)(339, 435)(340, 438)(341, 440)(342, 441)(343, 470)(344, 467)(345, 468)(346, 469)(347, 475)(348, 473)(349, 476)(350, 471)(351, 463)(352, 474)(353, 465)(354, 477)(355, 464)(356, 466)(357, 472)(358, 479)(359, 480)(360, 478)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2616
Transitivity :: VT+
Graph::
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2 * Y1 * Y2^-1 * R)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 11, 131)(4, 124, 10, 130)(5, 125, 16, 136)(6, 126, 8, 128)(7, 127, 19, 139)(9, 129, 24, 144)(12, 132, 30, 150)(13, 133, 28, 148)(14, 134, 32, 152)(15, 135, 33, 153)(17, 137, 36, 156)(18, 138, 37, 157)(20, 140, 41, 161)(21, 141, 39, 159)(22, 142, 43, 163)(23, 143, 44, 164)(25, 145, 47, 167)(26, 146, 48, 168)(27, 147, 49, 169)(29, 149, 54, 174)(31, 151, 57, 177)(34, 154, 62, 182)(35, 155, 65, 185)(38, 158, 51, 171)(40, 160, 72, 192)(42, 162, 75, 195)(45, 165, 53, 173)(46, 166, 61, 181)(50, 170, 70, 190)(52, 172, 87, 207)(55, 175, 90, 210)(56, 176, 79, 199)(58, 178, 93, 213)(59, 179, 88, 208)(60, 180, 95, 215)(63, 183, 74, 194)(64, 184, 85, 205)(66, 186, 83, 203)(67, 187, 98, 218)(68, 188, 81, 201)(69, 189, 89, 209)(71, 191, 100, 220)(73, 193, 103, 223)(76, 196, 97, 217)(77, 197, 101, 221)(78, 198, 92, 212)(80, 200, 86, 206)(82, 202, 107, 227)(84, 204, 102, 222)(91, 211, 112, 232)(94, 214, 111, 231)(96, 216, 106, 226)(99, 219, 109, 229)(104, 224, 117, 237)(105, 225, 116, 236)(108, 228, 114, 234)(110, 230, 118, 238)(113, 233, 115, 235)(119, 239, 120, 240)(241, 361, 243, 363, 245, 365)(242, 362, 247, 367, 249, 369)(244, 364, 254, 374, 255, 375)(246, 366, 258, 378, 252, 372)(248, 368, 262, 382, 263, 383)(250, 370, 266, 386, 260, 380)(251, 371, 267, 387, 269, 389)(253, 373, 271, 391, 257, 377)(256, 376, 274, 394, 275, 395)(259, 379, 278, 398, 280, 400)(261, 381, 282, 402, 265, 385)(264, 384, 285, 405, 286, 406)(268, 388, 292, 412, 293, 413)(270, 390, 296, 416, 290, 410)(272, 392, 298, 418, 299, 419)(273, 393, 300, 420, 301, 421)(276, 396, 307, 427, 303, 423)(277, 397, 308, 428, 309, 429)(279, 399, 311, 431, 302, 422)(281, 401, 314, 434, 310, 430)(283, 403, 316, 436, 317, 437)(284, 404, 318, 438, 305, 425)(287, 407, 322, 442, 319, 439)(288, 408, 323, 443, 324, 444)(289, 409, 325, 445, 313, 433)(291, 411, 326, 446, 295, 415)(294, 414, 328, 448, 329, 449)(297, 417, 331, 451, 332, 452)(304, 424, 334, 454, 306, 426)(312, 432, 341, 461, 342, 462)(315, 435, 344, 464, 335, 455)(320, 440, 345, 465, 321, 441)(327, 447, 349, 469, 350, 470)(330, 450, 353, 473, 338, 458)(333, 453, 346, 466, 348, 468)(336, 456, 339, 459, 337, 457)(340, 460, 354, 474, 355, 475)(343, 463, 358, 478, 347, 467)(351, 471, 359, 479, 352, 472)(356, 476, 360, 480, 357, 477)
	L = (1, 244)(2, 248)(3, 252)(4, 246)(5, 257)(6, 241)(7, 260)(8, 250)(9, 265)(10, 242)(11, 268)(12, 253)(13, 243)(14, 245)(15, 271)(16, 272)(17, 254)(18, 255)(19, 279)(20, 261)(21, 247)(22, 249)(23, 282)(24, 283)(25, 262)(26, 263)(27, 290)(28, 270)(29, 295)(30, 251)(31, 258)(32, 276)(33, 277)(34, 303)(35, 306)(36, 256)(37, 297)(38, 310)(39, 281)(40, 313)(41, 259)(42, 266)(43, 287)(44, 288)(45, 319)(46, 321)(47, 264)(48, 315)(49, 278)(50, 291)(51, 267)(52, 269)(53, 326)(54, 327)(55, 292)(56, 293)(57, 273)(58, 275)(59, 334)(60, 332)(61, 337)(62, 325)(63, 304)(64, 274)(65, 333)(66, 298)(67, 299)(68, 301)(69, 339)(70, 289)(71, 280)(72, 340)(73, 311)(74, 302)(75, 284)(76, 286)(77, 345)(78, 335)(79, 320)(80, 285)(81, 316)(82, 317)(83, 305)(84, 348)(85, 314)(86, 296)(87, 330)(88, 338)(89, 352)(90, 294)(91, 309)(92, 336)(93, 323)(94, 307)(95, 346)(96, 300)(97, 308)(98, 351)(99, 331)(100, 343)(101, 347)(102, 357)(103, 312)(104, 324)(105, 322)(106, 318)(107, 356)(108, 344)(109, 329)(110, 359)(111, 328)(112, 349)(113, 350)(114, 342)(115, 360)(116, 341)(117, 354)(118, 355)(119, 353)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 100 e = 240 f = 100
	degree seq :: [ 4^60, 6^40 ]

E21.2620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|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, Y1^2, R^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 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^5, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^3 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 8, 128)(5, 125, 9, 129)(6, 126, 10, 130)(11, 131, 19, 139)(12, 132, 20, 140)(13, 133, 21, 141)(14, 134, 22, 142)(15, 135, 23, 143)(16, 136, 24, 144)(17, 137, 25, 145)(18, 138, 26, 146)(27, 147, 43, 163)(28, 148, 44, 164)(29, 149, 45, 165)(30, 150, 46, 166)(31, 151, 47, 167)(32, 152, 48, 168)(33, 153, 49, 169)(34, 154, 50, 170)(35, 155, 51, 171)(36, 156, 52, 172)(37, 157, 53, 173)(38, 158, 54, 174)(39, 159, 55, 175)(40, 160, 56, 176)(41, 161, 57, 177)(42, 162, 58, 178)(59, 179, 91, 211)(60, 180, 82, 202)(61, 181, 86, 206)(62, 182, 92, 212)(63, 183, 88, 208)(64, 184, 93, 213)(65, 185, 94, 214)(66, 186, 76, 196)(67, 187, 89, 209)(68, 188, 95, 215)(69, 189, 96, 216)(70, 190, 77, 197)(71, 191, 97, 217)(72, 192, 79, 199)(73, 193, 83, 203)(74, 194, 98, 218)(75, 195, 99, 219)(78, 198, 100, 220)(80, 200, 101, 221)(81, 201, 102, 222)(84, 204, 103, 223)(85, 205, 104, 224)(87, 207, 105, 225)(90, 210, 106, 226)(107, 227, 111, 231)(108, 228, 115, 235)(109, 229, 113, 233)(110, 230, 116, 236)(112, 232, 117, 237)(114, 234, 118, 238)(119, 239, 120, 240)(241, 361, 243, 363, 244, 364)(242, 362, 245, 365, 246, 366)(247, 367, 251, 371, 252, 372)(248, 368, 253, 373, 254, 374)(249, 369, 255, 375, 256, 376)(250, 370, 257, 377, 258, 378)(259, 379, 267, 387, 268, 388)(260, 380, 269, 389, 270, 390)(261, 381, 271, 391, 272, 392)(262, 382, 273, 393, 274, 394)(263, 383, 275, 395, 276, 396)(264, 384, 277, 397, 278, 398)(265, 385, 279, 399, 280, 400)(266, 386, 281, 401, 282, 402)(283, 403, 299, 419, 300, 420)(284, 404, 301, 421, 302, 422)(285, 405, 303, 423, 304, 424)(286, 406, 305, 425, 306, 426)(287, 407, 307, 427, 308, 428)(288, 408, 309, 429, 310, 430)(289, 409, 311, 431, 312, 432)(290, 410, 313, 433, 314, 434)(291, 411, 315, 435, 316, 436)(292, 412, 317, 437, 318, 438)(293, 413, 319, 439, 320, 440)(294, 414, 321, 441, 322, 442)(295, 415, 323, 443, 324, 444)(296, 416, 325, 445, 326, 446)(297, 417, 327, 447, 328, 448)(298, 418, 329, 449, 330, 450)(331, 451, 347, 467, 338, 458)(332, 452, 348, 468, 335, 455)(333, 453, 349, 469, 336, 456)(334, 454, 350, 470, 337, 457)(339, 459, 351, 471, 346, 466)(340, 460, 352, 472, 343, 463)(341, 461, 353, 473, 344, 464)(342, 462, 354, 474, 345, 465)(355, 475, 359, 479, 356, 476)(357, 477, 360, 480, 358, 478)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 100 e = 240 f = 100
	degree seq :: [ 4^60, 6^40 ]

E21.2621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y2^-1)^2, (Y1 * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-2 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y1 * Y2 * Y3^2 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * 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, 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, 49, 169)(19, 139, 26, 146)(20, 140, 55, 175)(21, 141, 57, 177)(22, 142, 27, 147)(24, 144, 59, 179)(30, 150, 58, 178)(32, 152, 56, 176)(33, 153, 51, 171)(35, 155, 77, 197)(36, 156, 61, 181)(38, 158, 80, 200)(39, 159, 81, 201)(40, 160, 79, 199)(41, 161, 67, 187)(42, 162, 84, 204)(43, 163, 65, 185)(44, 164, 69, 189)(45, 165, 68, 188)(46, 166, 74, 194)(47, 167, 71, 191)(48, 168, 89, 209)(50, 170, 91, 211)(52, 172, 70, 190)(53, 173, 94, 214)(54, 174, 96, 216)(60, 180, 102, 222)(62, 182, 85, 205)(63, 183, 83, 203)(64, 184, 88, 208)(66, 186, 82, 202)(72, 192, 105, 225)(73, 193, 107, 227)(75, 195, 109, 229)(76, 196, 99, 219)(78, 198, 86, 206)(87, 207, 108, 228)(90, 210, 97, 217)(92, 212, 95, 215)(93, 213, 104, 224)(98, 218, 106, 226)(100, 220, 103, 223)(101, 221, 110, 230)(111, 231, 119, 239)(112, 232, 114, 234)(113, 233, 118, 238)(115, 235, 120, 240)(116, 236, 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, 286, 406)(257, 377, 287, 407, 288, 408)(258, 378, 290, 410, 292, 412)(259, 379, 293, 413, 294, 414)(262, 382, 299, 419, 279, 399)(263, 383, 300, 420, 301, 421)(264, 384, 302, 422, 304, 424)(265, 385, 305, 425, 306, 426)(267, 387, 309, 429, 310, 430)(269, 389, 311, 431, 312, 432)(270, 390, 313, 433, 314, 434)(271, 391, 315, 435, 316, 436)(274, 394, 277, 397, 303, 423)(283, 403, 326, 446, 291, 411)(284, 404, 327, 447, 328, 448)(289, 409, 332, 452, 321, 441)(295, 415, 338, 458, 336, 456)(296, 416, 337, 457, 339, 459)(297, 417, 307, 427, 340, 460)(298, 418, 341, 461, 323, 443)(308, 428, 344, 464, 319, 439)(317, 437, 351, 471, 329, 449)(318, 438, 330, 450, 352, 472)(320, 440, 353, 473, 350, 470)(322, 442, 349, 469, 354, 474)(324, 444, 334, 454, 355, 475)(325, 445, 356, 476, 335, 455)(331, 451, 348, 468, 357, 477)(333, 453, 358, 478, 347, 467)(342, 462, 359, 479, 345, 465)(343, 463, 346, 466, 360, 480)
	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, 262)(16, 281)(17, 266)(18, 291)(19, 245)(20, 296)(21, 298)(22, 246)(23, 256)(24, 303)(25, 247)(26, 308)(27, 274)(28, 305)(29, 254)(30, 297)(31, 249)(32, 295)(33, 289)(34, 250)(35, 318)(36, 302)(37, 251)(38, 322)(39, 283)(40, 293)(41, 323)(42, 325)(43, 253)(44, 261)(45, 259)(46, 311)(47, 314)(48, 330)(49, 257)(50, 333)(51, 285)(52, 260)(53, 335)(54, 337)(55, 310)(56, 286)(57, 309)(58, 269)(59, 263)(60, 343)(61, 278)(62, 324)(63, 307)(64, 315)(65, 321)(66, 320)(67, 265)(68, 273)(69, 271)(70, 287)(71, 292)(72, 346)(73, 348)(74, 272)(75, 350)(76, 338)(77, 280)(78, 332)(79, 275)(80, 276)(81, 277)(82, 282)(83, 299)(84, 306)(85, 301)(86, 317)(87, 347)(88, 300)(89, 290)(90, 336)(91, 288)(92, 334)(93, 294)(94, 319)(95, 326)(96, 344)(97, 329)(98, 345)(99, 327)(100, 342)(101, 349)(102, 304)(103, 341)(104, 331)(105, 313)(106, 339)(107, 312)(108, 316)(109, 328)(110, 340)(111, 360)(112, 353)(113, 357)(114, 351)(115, 359)(116, 358)(117, 355)(118, 354)(119, 352)(120, 356)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 100 e = 240 f = 100
	degree seq :: [ 4^60, 6^40 ]

E21.2622 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y1)^20 ]
Map:: non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 131, 11, 125)(6, 133, 13, 126)(8, 132, 12, 128)(10, 134, 14, 130)(15, 143, 23, 135)(16, 144, 24, 136)(17, 145, 25, 137)(18, 146, 26, 138)(19, 147, 27, 139)(20, 148, 28, 140)(21, 149, 29, 141)(22, 150, 30, 142)(31, 157, 37, 151)(32, 158, 38, 152)(33, 159, 39, 153)(34, 160, 40, 154)(35, 161, 41, 155)(36, 162, 42, 156)(43, 169, 49, 163)(44, 170, 50, 164)(45, 171, 51, 165)(46, 202, 82, 166)(47, 203, 83, 167)(48, 204, 84, 168)(52, 208, 88, 172)(53, 211, 91, 173)(54, 212, 92, 174)(55, 213, 93, 175)(56, 209, 89, 176)(57, 210, 90, 177)(58, 214, 94, 178)(59, 215, 95, 179)(60, 217, 97, 180)(61, 218, 98, 181)(62, 219, 99, 182)(63, 220, 100, 183)(64, 222, 102, 184)(65, 223, 103, 185)(66, 221, 101, 186)(67, 216, 96, 187)(68, 224, 104, 188)(69, 225, 105, 189)(70, 226, 106, 190)(71, 227, 107, 191)(72, 228, 108, 192)(73, 229, 109, 193)(74, 230, 110, 194)(75, 231, 111, 195)(76, 232, 112, 196)(77, 233, 113, 197)(78, 234, 114, 198)(79, 235, 115, 199)(80, 236, 116, 200)(81, 237, 117, 201)(85, 238, 118, 205)(86, 239, 119, 206)(87, 240, 120, 207)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 19)(12, 21)(13, 22)(16, 25)(20, 29)(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, 56)(50, 67)(51, 57)(52, 89)(53, 92)(54, 82)(55, 84)(58, 88)(59, 96)(60, 98)(61, 90)(62, 91)(63, 101)(64, 103)(65, 93)(66, 83)(68, 94)(69, 106)(70, 95)(71, 97)(72, 99)(73, 110)(74, 100)(75, 102)(76, 104)(77, 107)(78, 105)(79, 108)(80, 111)(81, 109)(85, 112)(86, 114)(87, 113)(115, 118)(116, 120)(117, 119)(121, 124)(122, 126)(123, 128)(125, 132)(127, 136)(129, 135)(130, 137)(131, 140)(133, 139)(134, 141)(138, 145)(142, 149)(143, 152)(144, 151)(146, 153)(147, 155)(148, 154)(150, 156)(157, 164)(158, 163)(159, 165)(160, 167)(161, 166)(162, 168)(169, 177)(170, 176)(171, 187)(172, 210)(173, 213)(174, 203)(175, 202)(178, 215)(179, 209)(180, 208)(181, 216)(182, 220)(183, 212)(184, 211)(185, 221)(186, 204)(188, 217)(189, 214)(190, 218)(191, 226)(192, 222)(193, 219)(194, 223)(195, 230)(196, 225)(197, 224)(198, 227)(199, 229)(200, 228)(201, 231)(205, 233)(206, 232)(207, 234)(235, 239)(236, 238)(237, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2624
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.2623 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 131, 11, 125)(6, 133, 13, 126)(8, 132, 12, 128)(10, 134, 14, 130)(15, 145, 25, 135)(16, 146, 26, 136)(17, 147, 27, 137)(18, 149, 29, 138)(19, 150, 30, 139)(20, 152, 32, 140)(21, 153, 33, 141)(22, 154, 34, 142)(23, 156, 36, 143)(24, 157, 37, 144)(28, 155, 35, 148)(31, 158, 38, 151)(39, 175, 55, 159)(40, 176, 56, 160)(41, 177, 57, 161)(42, 178, 58, 162)(43, 179, 59, 163)(44, 181, 61, 164)(45, 182, 62, 165)(46, 183, 63, 166)(47, 184, 64, 167)(48, 185, 65, 168)(49, 186, 66, 169)(50, 187, 67, 170)(51, 188, 68, 171)(52, 190, 70, 172)(53, 191, 71, 173)(54, 192, 72, 174)(60, 189, 69, 180)(73, 209, 89, 193)(74, 210, 90, 194)(75, 211, 91, 195)(76, 212, 92, 196)(77, 213, 93, 197)(78, 214, 94, 198)(79, 215, 95, 199)(80, 216, 96, 200)(81, 217, 97, 201)(82, 218, 98, 202)(83, 219, 99, 203)(84, 220, 100, 204)(85, 221, 101, 205)(86, 222, 102, 206)(87, 223, 103, 207)(88, 224, 104, 208)(105, 238, 118, 225)(106, 236, 116, 226)(107, 235, 115, 227)(108, 234, 114, 228)(109, 233, 113, 229)(110, 239, 119, 230)(111, 232, 112, 231)(117, 240, 120, 237)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 59)(44, 62)(46, 60)(50, 68)(52, 71)(54, 69)(55, 73)(56, 75)(57, 74)(58, 77)(61, 79)(63, 78)(64, 81)(65, 83)(66, 82)(67, 85)(70, 87)(72, 86)(76, 93)(80, 94)(84, 101)(88, 102)(89, 105)(90, 107)(91, 106)(92, 109)(95, 108)(96, 110)(97, 112)(98, 114)(99, 113)(100, 116)(103, 115)(104, 117)(111, 119)(118, 120)(121, 124)(122, 126)(123, 128)(125, 132)(127, 136)(129, 135)(130, 139)(131, 141)(133, 140)(134, 144)(137, 148)(138, 150)(142, 155)(143, 157)(145, 160)(146, 159)(147, 162)(149, 164)(151, 166)(152, 168)(153, 167)(154, 170)(156, 172)(158, 174)(161, 178)(163, 180)(165, 183)(169, 187)(171, 189)(173, 192)(175, 194)(176, 193)(177, 196)(179, 198)(181, 195)(182, 200)(184, 202)(185, 201)(186, 204)(188, 206)(190, 203)(191, 208)(197, 214)(199, 216)(205, 222)(207, 224)(209, 226)(210, 225)(211, 228)(212, 227)(213, 230)(215, 231)(217, 233)(218, 232)(219, 235)(220, 234)(221, 237)(223, 238)(229, 239)(236, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2625
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.2624 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2 * 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 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 122, 2, 126, 6, 134, 14, 130, 10, 125, 5, 121)(3, 129, 9, 135, 15, 132, 12, 124, 4, 131, 11, 123)(7, 136, 16, 133, 13, 138, 18, 128, 8, 137, 17, 127)(19, 145, 25, 141, 21, 147, 27, 140, 20, 146, 26, 139)(22, 148, 28, 144, 24, 150, 30, 143, 23, 149, 29, 142)(31, 157, 37, 153, 33, 159, 39, 152, 32, 158, 38, 151)(34, 160, 40, 156, 36, 162, 42, 155, 35, 161, 41, 154)(43, 169, 49, 165, 45, 171, 51, 164, 44, 170, 50, 163)(46, 190, 70, 168, 48, 192, 72, 167, 47, 191, 71, 166)(52, 211, 91, 177, 57, 229, 109, 181, 61, 215, 95, 172)(53, 216, 96, 185, 65, 224, 104, 176, 56, 220, 100, 173)(54, 221, 101, 186, 66, 226, 106, 175, 55, 223, 103, 174)(58, 208, 88, 184, 64, 206, 86, 179, 59, 205, 85, 178)(60, 212, 92, 183, 63, 230, 110, 182, 62, 213, 93, 180)(67, 217, 97, 189, 69, 227, 107, 188, 68, 218, 98, 187)(73, 228, 108, 195, 75, 219, 99, 194, 74, 234, 114, 193)(76, 214, 94, 198, 78, 231, 111, 197, 77, 235, 115, 196)(79, 222, 102, 201, 81, 237, 117, 200, 80, 225, 105, 199)(82, 232, 112, 204, 84, 236, 116, 203, 83, 233, 113, 202)(87, 238, 118, 210, 90, 240, 120, 209, 89, 239, 119, 207)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 19)(10, 15)(11, 21)(12, 20)(16, 22)(17, 24)(18, 23)(25, 31)(26, 33)(27, 32)(28, 34)(29, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 85)(50, 88)(51, 86)(52, 92)(53, 97)(54, 96)(55, 104)(56, 107)(57, 93)(58, 109)(59, 95)(60, 108)(61, 110)(62, 99)(63, 114)(64, 91)(65, 98)(66, 100)(67, 94)(68, 111)(69, 115)(70, 106)(71, 103)(72, 101)(73, 102)(74, 117)(75, 105)(76, 112)(77, 116)(78, 113)(79, 118)(80, 120)(81, 119)(82, 90)(83, 89)(84, 87)(121, 124)(122, 128)(123, 130)(125, 127)(126, 135)(129, 140)(131, 139)(132, 141)(133, 134)(136, 143)(137, 142)(138, 144)(145, 152)(146, 151)(147, 153)(148, 155)(149, 154)(150, 156)(157, 164)(158, 163)(159, 165)(160, 167)(161, 166)(162, 168)(169, 206)(170, 205)(171, 208)(172, 213)(173, 218)(174, 220)(175, 216)(176, 217)(177, 230)(178, 211)(179, 229)(180, 234)(181, 212)(182, 228)(183, 219)(184, 215)(185, 227)(186, 224)(187, 235)(188, 214)(189, 231)(190, 221)(191, 226)(192, 223)(193, 225)(194, 222)(195, 237)(196, 233)(197, 232)(198, 236)(199, 239)(200, 238)(201, 240)(202, 207)(203, 210)(204, 209)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2622
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2625 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^2, (Y2 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1^6, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 126, 6, 138, 18, 137, 17, 125, 5, 121)(3, 129, 9, 147, 27, 160, 40, 139, 19, 131, 11, 123)(4, 132, 12, 152, 32, 161, 41, 140, 20, 134, 14, 124)(7, 141, 21, 135, 15, 155, 35, 157, 37, 143, 23, 127)(8, 144, 24, 136, 16, 156, 36, 158, 38, 146, 26, 128)(10, 142, 22, 159, 39, 154, 34, 133, 13, 145, 25, 130)(28, 167, 47, 150, 30, 171, 51, 174, 54, 168, 48, 148)(29, 169, 49, 151, 31, 172, 52, 153, 33, 170, 50, 149)(42, 175, 55, 164, 44, 179, 59, 173, 53, 176, 56, 162)(43, 177, 57, 165, 45, 180, 60, 166, 46, 178, 58, 163)(61, 193, 73, 183, 63, 197, 77, 186, 66, 194, 74, 181)(62, 195, 75, 184, 64, 198, 78, 185, 65, 196, 76, 182)(67, 199, 79, 189, 69, 203, 83, 192, 72, 200, 80, 187)(68, 201, 81, 190, 70, 204, 84, 191, 71, 202, 82, 188)(85, 217, 97, 207, 87, 221, 101, 210, 90, 218, 98, 205)(86, 219, 99, 208, 88, 222, 102, 209, 89, 220, 100, 206)(91, 223, 103, 213, 93, 227, 107, 216, 96, 224, 104, 211)(92, 225, 105, 214, 94, 228, 108, 215, 95, 226, 106, 212)(109, 239, 119, 231, 111, 236, 116, 234, 114, 238, 118, 229)(110, 235, 115, 232, 112, 237, 117, 233, 113, 240, 120, 230)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 53)(36, 45)(40, 54)(47, 61)(48, 63)(49, 65)(50, 62)(51, 66)(52, 64)(55, 67)(56, 69)(57, 71)(58, 68)(59, 72)(60, 70)(73, 85)(74, 87)(75, 89)(76, 86)(77, 90)(78, 88)(79, 91)(80, 93)(81, 95)(82, 92)(83, 96)(84, 94)(97, 109)(98, 111)(99, 113)(100, 110)(101, 114)(102, 112)(103, 115)(104, 117)(105, 119)(106, 116)(107, 120)(108, 118)(121, 124)(122, 128)(123, 130)(125, 136)(126, 140)(127, 142)(129, 149)(131, 151)(132, 148)(133, 147)(134, 150)(135, 145)(137, 152)(138, 158)(139, 159)(141, 163)(143, 165)(144, 162)(146, 164)(153, 160)(154, 157)(155, 166)(156, 173)(161, 174)(167, 182)(168, 184)(169, 181)(170, 183)(171, 185)(172, 186)(175, 188)(176, 190)(177, 187)(178, 189)(179, 191)(180, 192)(193, 206)(194, 208)(195, 205)(196, 207)(197, 209)(198, 210)(199, 212)(200, 214)(201, 211)(202, 213)(203, 215)(204, 216)(217, 230)(218, 232)(219, 229)(220, 231)(221, 233)(222, 234)(223, 236)(224, 238)(225, 235)(226, 237)(227, 239)(228, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2623
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2626 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y3 * Y2)^20 ]
Map::
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 8, 128)(5, 125, 12, 132)(7, 127, 15, 135)(9, 129, 17, 137)(10, 130, 18, 138)(11, 131, 19, 139)(13, 133, 21, 141)(14, 134, 22, 142)(16, 136, 23, 143)(20, 140, 27, 147)(24, 144, 31, 151)(25, 145, 32, 152)(26, 146, 33, 153)(28, 148, 34, 154)(29, 149, 35, 155)(30, 150, 36, 156)(37, 157, 43, 163)(38, 158, 44, 164)(39, 159, 45, 165)(40, 160, 46, 166)(41, 161, 47, 167)(42, 162, 48, 168)(49, 169, 68, 188)(50, 170, 59, 179)(51, 171, 57, 177)(52, 172, 90, 210)(53, 173, 93, 213)(54, 174, 95, 215)(55, 175, 84, 204)(56, 176, 97, 217)(58, 178, 98, 218)(60, 180, 89, 209)(61, 181, 88, 208)(62, 182, 102, 222)(63, 183, 83, 203)(64, 184, 92, 212)(65, 185, 91, 211)(66, 186, 82, 202)(67, 187, 94, 214)(69, 189, 96, 216)(70, 190, 100, 220)(71, 191, 99, 219)(72, 192, 101, 221)(73, 193, 104, 224)(74, 194, 103, 223)(75, 195, 105, 225)(76, 196, 107, 227)(77, 197, 106, 226)(78, 198, 108, 228)(79, 199, 110, 230)(80, 200, 109, 229)(81, 201, 111, 231)(85, 205, 113, 233)(86, 206, 112, 232)(87, 207, 114, 234)(115, 235, 119, 239)(116, 236, 118, 238)(117, 237, 120, 240)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 256)(250, 255)(252, 260)(254, 259)(257, 264)(258, 266)(261, 268)(262, 270)(263, 269)(265, 267)(271, 277)(272, 279)(273, 278)(274, 280)(275, 282)(276, 281)(283, 289)(284, 291)(285, 290)(286, 322)(287, 324)(288, 323)(292, 328)(293, 331)(294, 332)(295, 335)(296, 329)(297, 337)(298, 336)(299, 330)(300, 339)(301, 340)(302, 334)(303, 333)(304, 343)(305, 344)(306, 342)(307, 345)(308, 338)(309, 341)(310, 346)(311, 347)(312, 348)(313, 349)(314, 350)(315, 351)(316, 352)(317, 353)(318, 354)(319, 355)(320, 356)(321, 357)(325, 359)(326, 358)(327, 360)(361, 363)(362, 365)(364, 370)(366, 374)(367, 371)(368, 373)(369, 372)(375, 380)(376, 379)(377, 385)(378, 384)(381, 389)(382, 388)(383, 390)(386, 387)(391, 398)(392, 397)(393, 399)(394, 401)(395, 400)(396, 402)(403, 410)(404, 409)(405, 411)(406, 443)(407, 442)(408, 444)(412, 449)(413, 452)(414, 454)(415, 453)(416, 456)(417, 450)(418, 448)(419, 458)(420, 460)(421, 461)(422, 451)(423, 462)(424, 464)(425, 465)(426, 455)(427, 463)(428, 457)(429, 459)(430, 467)(431, 468)(432, 466)(433, 470)(434, 471)(435, 469)(436, 473)(437, 474)(438, 472)(439, 476)(440, 477)(441, 475)(445, 478)(446, 480)(447, 479)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2632
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.2627 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 8, 128)(5, 125, 12, 132)(7, 127, 16, 136)(9, 129, 18, 138)(10, 130, 19, 139)(11, 131, 21, 141)(13, 133, 23, 143)(14, 134, 24, 144)(15, 135, 26, 146)(17, 137, 28, 148)(20, 140, 33, 153)(22, 142, 35, 155)(25, 145, 40, 160)(27, 147, 42, 162)(29, 149, 44, 164)(30, 150, 45, 165)(31, 151, 46, 166)(32, 152, 48, 168)(34, 154, 50, 170)(36, 156, 52, 172)(37, 157, 53, 173)(38, 158, 54, 174)(39, 159, 55, 175)(41, 161, 57, 177)(43, 163, 59, 179)(47, 167, 64, 184)(49, 169, 66, 186)(51, 171, 68, 188)(56, 176, 73, 193)(58, 178, 75, 195)(60, 180, 77, 197)(61, 181, 78, 198)(62, 182, 79, 199)(63, 183, 80, 200)(65, 185, 81, 201)(67, 187, 83, 203)(69, 189, 85, 205)(70, 190, 86, 206)(71, 191, 87, 207)(72, 192, 88, 208)(74, 194, 89, 209)(76, 196, 91, 211)(82, 202, 97, 217)(84, 204, 99, 219)(90, 210, 105, 225)(92, 212, 107, 227)(93, 213, 108, 228)(94, 214, 109, 229)(95, 215, 110, 230)(96, 216, 111, 231)(98, 218, 112, 232)(100, 220, 114, 234)(101, 221, 115, 235)(102, 222, 116, 236)(103, 223, 117, 237)(104, 224, 118, 238)(106, 226, 119, 239)(113, 233, 120, 240)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 257)(250, 256)(252, 262)(254, 261)(255, 265)(258, 269)(259, 271)(260, 272)(263, 276)(264, 278)(266, 281)(267, 280)(268, 277)(270, 275)(273, 289)(274, 288)(279, 287)(282, 298)(283, 297)(284, 300)(285, 302)(286, 301)(290, 307)(291, 306)(292, 309)(293, 311)(294, 310)(295, 305)(296, 304)(299, 316)(303, 315)(308, 324)(312, 323)(313, 322)(314, 321)(317, 332)(318, 334)(319, 333)(320, 336)(325, 340)(326, 342)(327, 341)(328, 344)(329, 338)(330, 337)(331, 343)(335, 339)(345, 353)(346, 352)(347, 359)(348, 357)(349, 358)(350, 355)(351, 356)(354, 360)(361, 363)(362, 365)(364, 370)(366, 374)(367, 375)(368, 373)(369, 372)(371, 380)(376, 387)(377, 386)(378, 390)(379, 389)(381, 394)(382, 393)(383, 397)(384, 396)(385, 399)(388, 403)(391, 402)(392, 407)(395, 411)(398, 410)(400, 416)(401, 415)(404, 421)(405, 420)(406, 423)(408, 425)(409, 424)(412, 430)(413, 429)(414, 432)(417, 434)(418, 433)(419, 431)(422, 428)(426, 442)(427, 441)(435, 450)(436, 449)(437, 453)(438, 452)(439, 455)(440, 454)(443, 458)(444, 457)(445, 461)(446, 460)(447, 463)(448, 462)(451, 466)(456, 465)(459, 473)(464, 472)(467, 478)(468, 479)(469, 476)(470, 477)(471, 474)(475, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2633
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.2628 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 121, 4, 124, 6, 126, 15, 135, 9, 129, 5, 125)(2, 122, 7, 127, 3, 123, 10, 130, 14, 134, 8, 128)(11, 131, 19, 139, 12, 132, 21, 141, 13, 133, 20, 140)(16, 136, 22, 142, 17, 137, 24, 144, 18, 138, 23, 143)(25, 145, 31, 151, 26, 146, 33, 153, 27, 147, 32, 152)(28, 148, 34, 154, 29, 149, 36, 156, 30, 150, 35, 155)(37, 157, 43, 163, 38, 158, 45, 165, 39, 159, 44, 164)(40, 160, 46, 166, 41, 161, 48, 168, 42, 162, 47, 167)(49, 169, 79, 199, 50, 170, 80, 200, 51, 171, 81, 201)(52, 172, 82, 202, 58, 178, 87, 207, 55, 175, 83, 203)(53, 173, 84, 204, 54, 174, 86, 206, 60, 180, 85, 205)(56, 176, 88, 208, 57, 177, 90, 210, 59, 179, 89, 209)(61, 181, 91, 211, 62, 182, 93, 213, 63, 183, 92, 212)(64, 184, 94, 214, 65, 185, 96, 216, 66, 186, 95, 215)(67, 187, 97, 217, 68, 188, 99, 219, 69, 189, 98, 218)(70, 190, 100, 220, 71, 191, 102, 222, 72, 192, 101, 221)(73, 193, 103, 223, 74, 194, 105, 225, 75, 195, 104, 224)(76, 196, 106, 226, 77, 197, 108, 228, 78, 198, 107, 227)(109, 229, 120, 240, 111, 231, 118, 238, 110, 230, 119, 239)(112, 232, 114, 234, 113, 233, 115, 235, 117, 237, 116, 236)(241, 242)(243, 249)(244, 251)(245, 252)(246, 254)(247, 256)(248, 257)(250, 258)(253, 255)(259, 265)(260, 266)(261, 267)(262, 268)(263, 269)(264, 270)(271, 277)(272, 278)(273, 279)(274, 280)(275, 281)(276, 282)(283, 289)(284, 290)(285, 291)(286, 298)(287, 295)(288, 292)(293, 320)(294, 319)(296, 323)(297, 327)(299, 322)(300, 321)(301, 325)(302, 326)(303, 324)(304, 329)(305, 330)(306, 328)(307, 332)(308, 333)(309, 331)(310, 335)(311, 336)(312, 334)(313, 338)(314, 339)(315, 337)(316, 341)(317, 342)(318, 340)(343, 350)(344, 349)(345, 351)(346, 353)(347, 357)(348, 352)(354, 358)(355, 360)(356, 359)(361, 363)(362, 366)(364, 372)(365, 373)(367, 377)(368, 378)(369, 374)(370, 376)(371, 375)(379, 386)(380, 387)(381, 385)(382, 389)(383, 390)(384, 388)(391, 398)(392, 399)(393, 397)(394, 401)(395, 402)(396, 400)(403, 410)(404, 411)(405, 409)(406, 415)(407, 412)(408, 418)(413, 441)(414, 440)(416, 442)(417, 443)(419, 447)(420, 439)(421, 444)(422, 445)(423, 446)(424, 448)(425, 449)(426, 450)(427, 451)(428, 452)(429, 453)(430, 454)(431, 455)(432, 456)(433, 457)(434, 458)(435, 459)(436, 460)(437, 461)(438, 462)(463, 469)(464, 471)(465, 470)(466, 477)(467, 472)(468, 473)(474, 479)(475, 478)(476, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2630
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2629 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 121, 4, 124, 14, 134, 34, 154, 17, 137, 5, 125)(2, 122, 7, 127, 23, 143, 44, 164, 26, 146, 8, 128)(3, 123, 10, 130, 18, 138, 37, 157, 29, 149, 11, 131)(6, 126, 19, 139, 9, 129, 27, 147, 39, 159, 20, 140)(12, 132, 30, 150, 15, 135, 35, 155, 47, 167, 31, 151)(13, 133, 32, 152, 16, 136, 36, 156, 38, 158, 33, 153)(21, 141, 40, 160, 24, 144, 45, 165, 54, 174, 41, 161)(22, 142, 42, 162, 25, 145, 46, 166, 28, 148, 43, 163)(48, 168, 61, 181, 50, 170, 65, 185, 53, 173, 62, 182)(49, 169, 63, 183, 51, 171, 66, 186, 52, 172, 64, 184)(55, 175, 67, 187, 57, 177, 71, 191, 60, 180, 68, 188)(56, 176, 69, 189, 58, 178, 72, 192, 59, 179, 70, 190)(73, 193, 85, 205, 75, 195, 89, 209, 78, 198, 86, 206)(74, 194, 87, 207, 76, 196, 90, 210, 77, 197, 88, 208)(79, 199, 91, 211, 81, 201, 95, 215, 84, 204, 92, 212)(80, 200, 93, 213, 82, 202, 96, 216, 83, 203, 94, 214)(97, 217, 109, 229, 99, 219, 113, 233, 102, 222, 110, 230)(98, 218, 111, 231, 100, 220, 114, 234, 101, 221, 112, 232)(103, 223, 115, 235, 105, 225, 119, 239, 108, 228, 116, 236)(104, 224, 117, 237, 106, 226, 120, 240, 107, 227, 118, 238)(241, 242)(243, 249)(244, 252)(245, 255)(246, 258)(247, 261)(248, 264)(250, 265)(251, 268)(253, 267)(254, 266)(256, 259)(257, 263)(260, 278)(262, 277)(269, 279)(270, 288)(271, 290)(272, 291)(273, 292)(274, 287)(275, 293)(276, 289)(280, 295)(281, 297)(282, 298)(283, 299)(284, 294)(285, 300)(286, 296)(301, 313)(302, 315)(303, 316)(304, 317)(305, 318)(306, 314)(307, 319)(308, 321)(309, 322)(310, 323)(311, 324)(312, 320)(325, 337)(326, 339)(327, 340)(328, 341)(329, 342)(330, 338)(331, 343)(332, 345)(333, 346)(334, 347)(335, 348)(336, 344)(349, 360)(350, 358)(351, 359)(352, 356)(353, 357)(354, 355)(361, 363)(362, 366)(364, 373)(365, 376)(367, 382)(368, 385)(369, 386)(370, 381)(371, 384)(372, 379)(374, 389)(375, 380)(377, 378)(383, 399)(387, 407)(388, 404)(390, 409)(391, 411)(392, 408)(393, 410)(394, 398)(395, 412)(396, 413)(397, 414)(400, 416)(401, 418)(402, 415)(403, 417)(405, 419)(406, 420)(421, 434)(422, 436)(423, 433)(424, 435)(425, 437)(426, 438)(427, 440)(428, 442)(429, 439)(430, 441)(431, 443)(432, 444)(445, 458)(446, 460)(447, 457)(448, 459)(449, 461)(450, 462)(451, 464)(452, 466)(453, 463)(454, 465)(455, 467)(456, 468)(469, 475)(470, 479)(471, 480)(472, 478)(473, 476)(474, 477)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2631
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2630 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y3 * Y2)^20 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 8, 128, 248, 368)(5, 125, 245, 365, 12, 132, 252, 372)(7, 127, 247, 367, 15, 135, 255, 375)(9, 129, 249, 369, 17, 137, 257, 377)(10, 130, 250, 370, 18, 138, 258, 378)(11, 131, 251, 371, 19, 139, 259, 379)(13, 133, 253, 373, 21, 141, 261, 381)(14, 134, 254, 374, 22, 142, 262, 382)(16, 136, 256, 376, 23, 143, 263, 383)(20, 140, 260, 380, 27, 147, 267, 387)(24, 144, 264, 384, 31, 151, 271, 391)(25, 145, 265, 385, 32, 152, 272, 392)(26, 146, 266, 386, 33, 153, 273, 393)(28, 148, 268, 388, 34, 154, 274, 394)(29, 149, 269, 389, 35, 155, 275, 395)(30, 150, 270, 390, 36, 156, 276, 396)(37, 157, 277, 397, 43, 163, 283, 403)(38, 158, 278, 398, 44, 164, 284, 404)(39, 159, 279, 399, 45, 165, 285, 405)(40, 160, 280, 400, 46, 166, 286, 406)(41, 161, 281, 401, 47, 167, 287, 407)(42, 162, 282, 402, 48, 168, 288, 408)(49, 169, 289, 409, 85, 205, 325, 445)(50, 170, 290, 410, 87, 207, 327, 447)(51, 171, 291, 411, 89, 209, 329, 449)(52, 172, 292, 412, 93, 213, 333, 453)(53, 173, 293, 413, 97, 217, 337, 457)(54, 174, 294, 414, 100, 220, 340, 460)(55, 175, 295, 415, 96, 216, 336, 456)(56, 176, 296, 416, 106, 226, 346, 466)(57, 177, 297, 417, 92, 212, 332, 452)(58, 178, 298, 418, 109, 229, 349, 469)(59, 179, 299, 419, 105, 225, 345, 465)(60, 180, 300, 420, 101, 221, 341, 461)(61, 181, 301, 421, 113, 233, 353, 473)(62, 182, 302, 422, 112, 232, 352, 472)(63, 183, 303, 423, 99, 219, 339, 459)(64, 184, 304, 424, 107, 227, 347, 467)(65, 185, 305, 425, 110, 230, 350, 470)(66, 186, 306, 426, 95, 215, 335, 455)(67, 187, 307, 427, 94, 214, 334, 454)(68, 188, 308, 428, 103, 223, 343, 463)(69, 189, 309, 429, 114, 234, 354, 474)(70, 190, 310, 430, 91, 211, 331, 451)(71, 191, 311, 431, 98, 218, 338, 458)(72, 192, 312, 432, 115, 235, 355, 475)(73, 193, 313, 433, 116, 236, 356, 476)(74, 194, 314, 434, 104, 224, 344, 464)(75, 195, 315, 435, 102, 222, 342, 462)(76, 196, 316, 436, 111, 231, 351, 471)(77, 197, 317, 437, 119, 239, 359, 479)(78, 198, 318, 438, 108, 228, 348, 468)(79, 199, 319, 439, 118, 238, 358, 478)(80, 200, 320, 440, 120, 240, 360, 480)(81, 201, 321, 441, 117, 237, 357, 477)(82, 202, 322, 442, 86, 206, 326, 446)(83, 203, 323, 443, 88, 208, 328, 448)(84, 204, 324, 444, 90, 210, 330, 450)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 136)(9, 124)(10, 135)(11, 125)(12, 140)(13, 126)(14, 139)(15, 130)(16, 128)(17, 144)(18, 146)(19, 134)(20, 132)(21, 148)(22, 150)(23, 149)(24, 137)(25, 147)(26, 138)(27, 145)(28, 141)(29, 143)(30, 142)(31, 157)(32, 159)(33, 158)(34, 160)(35, 162)(36, 161)(37, 151)(38, 153)(39, 152)(40, 154)(41, 156)(42, 155)(43, 169)(44, 171)(45, 170)(46, 189)(47, 188)(48, 195)(49, 163)(50, 165)(51, 164)(52, 211)(53, 215)(54, 219)(55, 222)(56, 225)(57, 207)(58, 212)(59, 205)(60, 229)(61, 226)(62, 216)(63, 234)(64, 232)(65, 220)(66, 223)(67, 217)(68, 167)(69, 166)(70, 209)(71, 213)(72, 218)(73, 233)(74, 221)(75, 168)(76, 214)(77, 230)(78, 227)(79, 224)(80, 236)(81, 235)(82, 228)(83, 239)(84, 231)(85, 179)(86, 237)(87, 177)(88, 240)(89, 190)(90, 238)(91, 172)(92, 178)(93, 191)(94, 196)(95, 173)(96, 182)(97, 187)(98, 192)(99, 174)(100, 185)(101, 194)(102, 175)(103, 186)(104, 199)(105, 176)(106, 181)(107, 198)(108, 202)(109, 180)(110, 197)(111, 204)(112, 184)(113, 193)(114, 183)(115, 201)(116, 200)(117, 206)(118, 210)(119, 203)(120, 208)(241, 363)(242, 365)(243, 361)(244, 370)(245, 362)(246, 374)(247, 371)(248, 373)(249, 372)(250, 364)(251, 367)(252, 369)(253, 368)(254, 366)(255, 380)(256, 379)(257, 385)(258, 384)(259, 376)(260, 375)(261, 389)(262, 388)(263, 390)(264, 378)(265, 377)(266, 387)(267, 386)(268, 382)(269, 381)(270, 383)(271, 398)(272, 397)(273, 399)(274, 401)(275, 400)(276, 402)(277, 392)(278, 391)(279, 393)(280, 395)(281, 394)(282, 396)(283, 410)(284, 409)(285, 411)(286, 435)(287, 429)(288, 428)(289, 404)(290, 403)(291, 405)(292, 452)(293, 456)(294, 455)(295, 463)(296, 451)(297, 449)(298, 465)(299, 447)(300, 453)(301, 469)(302, 459)(303, 462)(304, 457)(305, 472)(306, 474)(307, 460)(308, 408)(309, 407)(310, 445)(311, 466)(312, 461)(313, 458)(314, 473)(315, 406)(316, 467)(317, 454)(318, 470)(319, 475)(320, 464)(321, 476)(322, 471)(323, 468)(324, 479)(325, 430)(326, 478)(327, 419)(328, 477)(329, 417)(330, 480)(331, 416)(332, 412)(333, 420)(334, 437)(335, 414)(336, 413)(337, 424)(338, 433)(339, 422)(340, 427)(341, 432)(342, 423)(343, 415)(344, 440)(345, 418)(346, 431)(347, 436)(348, 443)(349, 421)(350, 438)(351, 442)(352, 425)(353, 434)(354, 426)(355, 439)(356, 441)(357, 448)(358, 446)(359, 444)(360, 450)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2628
Transitivity :: VT+
Graph:: bipartite
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2631 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 8, 128, 248, 368)(5, 125, 245, 365, 12, 132, 252, 372)(7, 127, 247, 367, 16, 136, 256, 376)(9, 129, 249, 369, 18, 138, 258, 378)(10, 130, 250, 370, 19, 139, 259, 379)(11, 131, 251, 371, 21, 141, 261, 381)(13, 133, 253, 373, 23, 143, 263, 383)(14, 134, 254, 374, 24, 144, 264, 384)(15, 135, 255, 375, 26, 146, 266, 386)(17, 137, 257, 377, 28, 148, 268, 388)(20, 140, 260, 380, 33, 153, 273, 393)(22, 142, 262, 382, 35, 155, 275, 395)(25, 145, 265, 385, 40, 160, 280, 400)(27, 147, 267, 387, 42, 162, 282, 402)(29, 149, 269, 389, 44, 164, 284, 404)(30, 150, 270, 390, 45, 165, 285, 405)(31, 151, 271, 391, 46, 166, 286, 406)(32, 152, 272, 392, 48, 168, 288, 408)(34, 154, 274, 394, 50, 170, 290, 410)(36, 156, 276, 396, 52, 172, 292, 412)(37, 157, 277, 397, 53, 173, 293, 413)(38, 158, 278, 398, 54, 174, 294, 414)(39, 159, 279, 399, 55, 175, 295, 415)(41, 161, 281, 401, 57, 177, 297, 417)(43, 163, 283, 403, 59, 179, 299, 419)(47, 167, 287, 407, 64, 184, 304, 424)(49, 169, 289, 409, 66, 186, 306, 426)(51, 171, 291, 411, 68, 188, 308, 428)(56, 176, 296, 416, 73, 193, 313, 433)(58, 178, 298, 418, 75, 195, 315, 435)(60, 180, 300, 420, 77, 197, 317, 437)(61, 181, 301, 421, 78, 198, 318, 438)(62, 182, 302, 422, 79, 199, 319, 439)(63, 183, 303, 423, 80, 200, 320, 440)(65, 185, 305, 425, 81, 201, 321, 441)(67, 187, 307, 427, 83, 203, 323, 443)(69, 189, 309, 429, 85, 205, 325, 445)(70, 190, 310, 430, 86, 206, 326, 446)(71, 191, 311, 431, 87, 207, 327, 447)(72, 192, 312, 432, 88, 208, 328, 448)(74, 194, 314, 434, 89, 209, 329, 449)(76, 196, 316, 436, 91, 211, 331, 451)(82, 202, 322, 442, 97, 217, 337, 457)(84, 204, 324, 444, 99, 219, 339, 459)(90, 210, 330, 450, 105, 225, 345, 465)(92, 212, 332, 452, 107, 227, 347, 467)(93, 213, 333, 453, 108, 228, 348, 468)(94, 214, 334, 454, 109, 229, 349, 469)(95, 215, 335, 455, 110, 230, 350, 470)(96, 216, 336, 456, 111, 231, 351, 471)(98, 218, 338, 458, 112, 232, 352, 472)(100, 220, 340, 460, 114, 234, 354, 474)(101, 221, 341, 461, 115, 235, 355, 475)(102, 222, 342, 462, 116, 236, 356, 476)(103, 223, 343, 463, 117, 237, 357, 477)(104, 224, 344, 464, 118, 238, 358, 478)(106, 226, 346, 466, 119, 239, 359, 479)(113, 233, 353, 473, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 136)(11, 125)(12, 142)(13, 126)(14, 141)(15, 145)(16, 130)(17, 128)(18, 149)(19, 151)(20, 152)(21, 134)(22, 132)(23, 156)(24, 158)(25, 135)(26, 161)(27, 160)(28, 157)(29, 138)(30, 155)(31, 139)(32, 140)(33, 169)(34, 168)(35, 150)(36, 143)(37, 148)(38, 144)(39, 167)(40, 147)(41, 146)(42, 178)(43, 177)(44, 180)(45, 182)(46, 181)(47, 159)(48, 154)(49, 153)(50, 187)(51, 186)(52, 189)(53, 191)(54, 190)(55, 185)(56, 184)(57, 163)(58, 162)(59, 196)(60, 164)(61, 166)(62, 165)(63, 195)(64, 176)(65, 175)(66, 171)(67, 170)(68, 204)(69, 172)(70, 174)(71, 173)(72, 203)(73, 202)(74, 201)(75, 183)(76, 179)(77, 212)(78, 214)(79, 213)(80, 216)(81, 194)(82, 193)(83, 192)(84, 188)(85, 220)(86, 222)(87, 221)(88, 224)(89, 218)(90, 217)(91, 223)(92, 197)(93, 199)(94, 198)(95, 219)(96, 200)(97, 210)(98, 209)(99, 215)(100, 205)(101, 207)(102, 206)(103, 211)(104, 208)(105, 233)(106, 232)(107, 239)(108, 237)(109, 238)(110, 235)(111, 236)(112, 226)(113, 225)(114, 240)(115, 230)(116, 231)(117, 228)(118, 229)(119, 227)(120, 234)(241, 363)(242, 365)(243, 361)(244, 370)(245, 362)(246, 374)(247, 375)(248, 373)(249, 372)(250, 364)(251, 380)(252, 369)(253, 368)(254, 366)(255, 367)(256, 387)(257, 386)(258, 390)(259, 389)(260, 371)(261, 394)(262, 393)(263, 397)(264, 396)(265, 399)(266, 377)(267, 376)(268, 403)(269, 379)(270, 378)(271, 402)(272, 407)(273, 382)(274, 381)(275, 411)(276, 384)(277, 383)(278, 410)(279, 385)(280, 416)(281, 415)(282, 391)(283, 388)(284, 421)(285, 420)(286, 423)(287, 392)(288, 425)(289, 424)(290, 398)(291, 395)(292, 430)(293, 429)(294, 432)(295, 401)(296, 400)(297, 434)(298, 433)(299, 431)(300, 405)(301, 404)(302, 428)(303, 406)(304, 409)(305, 408)(306, 442)(307, 441)(308, 422)(309, 413)(310, 412)(311, 419)(312, 414)(313, 418)(314, 417)(315, 450)(316, 449)(317, 453)(318, 452)(319, 455)(320, 454)(321, 427)(322, 426)(323, 458)(324, 457)(325, 461)(326, 460)(327, 463)(328, 462)(329, 436)(330, 435)(331, 466)(332, 438)(333, 437)(334, 440)(335, 439)(336, 465)(337, 444)(338, 443)(339, 473)(340, 446)(341, 445)(342, 448)(343, 447)(344, 472)(345, 456)(346, 451)(347, 478)(348, 479)(349, 476)(350, 477)(351, 474)(352, 464)(353, 459)(354, 471)(355, 480)(356, 469)(357, 470)(358, 467)(359, 468)(360, 475)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2629
Transitivity :: VT+
Graph:: bipartite
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2632 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 6, 126, 246, 366, 15, 135, 255, 375, 9, 129, 249, 369, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 3, 123, 243, 363, 10, 130, 250, 370, 14, 134, 254, 374, 8, 128, 248, 368)(11, 131, 251, 371, 19, 139, 259, 379, 12, 132, 252, 372, 21, 141, 261, 381, 13, 133, 253, 373, 20, 140, 260, 380)(16, 136, 256, 376, 22, 142, 262, 382, 17, 137, 257, 377, 24, 144, 264, 384, 18, 138, 258, 378, 23, 143, 263, 383)(25, 145, 265, 385, 31, 151, 271, 391, 26, 146, 266, 386, 33, 153, 273, 393, 27, 147, 267, 387, 32, 152, 272, 392)(28, 148, 268, 388, 34, 154, 274, 394, 29, 149, 269, 389, 36, 156, 276, 396, 30, 150, 270, 390, 35, 155, 275, 395)(37, 157, 277, 397, 43, 163, 283, 403, 38, 158, 278, 398, 45, 165, 285, 405, 39, 159, 279, 399, 44, 164, 284, 404)(40, 160, 280, 400, 46, 166, 286, 406, 41, 161, 281, 401, 48, 168, 288, 408, 42, 162, 282, 402, 47, 167, 287, 407)(49, 169, 289, 409, 79, 199, 319, 439, 50, 170, 290, 410, 80, 200, 320, 440, 51, 171, 291, 411, 81, 201, 321, 441)(52, 172, 292, 412, 82, 202, 322, 442, 58, 178, 298, 418, 87, 207, 327, 447, 55, 175, 295, 415, 83, 203, 323, 443)(53, 173, 293, 413, 84, 204, 324, 444, 54, 174, 294, 414, 86, 206, 326, 446, 60, 180, 300, 420, 85, 205, 325, 445)(56, 176, 296, 416, 88, 208, 328, 448, 57, 177, 297, 417, 90, 210, 330, 450, 59, 179, 299, 419, 89, 209, 329, 449)(61, 181, 301, 421, 91, 211, 331, 451, 62, 182, 302, 422, 93, 213, 333, 453, 63, 183, 303, 423, 92, 212, 332, 452)(64, 184, 304, 424, 94, 214, 334, 454, 65, 185, 305, 425, 96, 216, 336, 456, 66, 186, 306, 426, 95, 215, 335, 455)(67, 187, 307, 427, 97, 217, 337, 457, 68, 188, 308, 428, 99, 219, 339, 459, 69, 189, 309, 429, 98, 218, 338, 458)(70, 190, 310, 430, 100, 220, 340, 460, 71, 191, 311, 431, 102, 222, 342, 462, 72, 192, 312, 432, 101, 221, 341, 461)(73, 193, 313, 433, 103, 223, 343, 463, 74, 194, 314, 434, 105, 225, 345, 465, 75, 195, 315, 435, 104, 224, 344, 464)(76, 196, 316, 436, 106, 226, 346, 466, 77, 197, 317, 437, 108, 228, 348, 468, 78, 198, 318, 438, 107, 227, 347, 467)(109, 229, 349, 469, 118, 238, 358, 478, 111, 231, 351, 471, 119, 239, 359, 479, 110, 230, 350, 470, 120, 240, 360, 480)(112, 232, 352, 472, 114, 234, 354, 474, 113, 233, 353, 473, 115, 235, 355, 475, 117, 237, 357, 477, 116, 236, 356, 476)
	L = (1, 122)(2, 121)(3, 129)(4, 131)(5, 132)(6, 134)(7, 136)(8, 137)(9, 123)(10, 138)(11, 124)(12, 125)(13, 135)(14, 126)(15, 133)(16, 127)(17, 128)(18, 130)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 139)(26, 140)(27, 141)(28, 142)(29, 143)(30, 144)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 169)(44, 170)(45, 171)(46, 172)(47, 178)(48, 175)(49, 163)(50, 164)(51, 165)(52, 166)(53, 199)(54, 201)(55, 168)(56, 202)(57, 203)(58, 167)(59, 207)(60, 200)(61, 204)(62, 205)(63, 206)(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, 173)(80, 180)(81, 174)(82, 176)(83, 177)(84, 181)(85, 182)(86, 183)(87, 179)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(97, 193)(98, 194)(99, 195)(100, 196)(101, 197)(102, 198)(103, 229)(104, 231)(105, 230)(106, 232)(107, 233)(108, 237)(109, 223)(110, 225)(111, 224)(112, 226)(113, 227)(114, 238)(115, 240)(116, 239)(117, 228)(118, 234)(119, 236)(120, 235)(241, 363)(242, 366)(243, 361)(244, 372)(245, 373)(246, 362)(247, 377)(248, 378)(249, 374)(250, 376)(251, 375)(252, 364)(253, 365)(254, 369)(255, 371)(256, 370)(257, 367)(258, 368)(259, 386)(260, 387)(261, 385)(262, 389)(263, 390)(264, 388)(265, 381)(266, 379)(267, 380)(268, 384)(269, 382)(270, 383)(271, 398)(272, 399)(273, 397)(274, 401)(275, 402)(276, 400)(277, 393)(278, 391)(279, 392)(280, 396)(281, 394)(282, 395)(283, 410)(284, 411)(285, 409)(286, 418)(287, 415)(288, 412)(289, 405)(290, 403)(291, 404)(292, 408)(293, 440)(294, 439)(295, 407)(296, 447)(297, 442)(298, 406)(299, 443)(300, 441)(301, 446)(302, 444)(303, 445)(304, 450)(305, 448)(306, 449)(307, 453)(308, 451)(309, 452)(310, 456)(311, 454)(312, 455)(313, 459)(314, 457)(315, 458)(316, 462)(317, 460)(318, 461)(319, 414)(320, 413)(321, 420)(322, 417)(323, 419)(324, 422)(325, 423)(326, 421)(327, 416)(328, 425)(329, 426)(330, 424)(331, 428)(332, 429)(333, 427)(334, 431)(335, 432)(336, 430)(337, 434)(338, 435)(339, 433)(340, 437)(341, 438)(342, 436)(343, 471)(344, 470)(345, 469)(346, 473)(347, 477)(348, 472)(349, 465)(350, 464)(351, 463)(352, 468)(353, 466)(354, 479)(355, 478)(356, 480)(357, 467)(358, 475)(359, 474)(360, 476)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2626
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.2633 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 14, 134, 254, 374, 34, 154, 274, 394, 17, 137, 257, 377, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 23, 143, 263, 383, 44, 164, 284, 404, 26, 146, 266, 386, 8, 128, 248, 368)(3, 123, 243, 363, 10, 130, 250, 370, 18, 138, 258, 378, 37, 157, 277, 397, 29, 149, 269, 389, 11, 131, 251, 371)(6, 126, 246, 366, 19, 139, 259, 379, 9, 129, 249, 369, 27, 147, 267, 387, 39, 159, 279, 399, 20, 140, 260, 380)(12, 132, 252, 372, 30, 150, 270, 390, 15, 135, 255, 375, 35, 155, 275, 395, 47, 167, 287, 407, 31, 151, 271, 391)(13, 133, 253, 373, 32, 152, 272, 392, 16, 136, 256, 376, 36, 156, 276, 396, 38, 158, 278, 398, 33, 153, 273, 393)(21, 141, 261, 381, 40, 160, 280, 400, 24, 144, 264, 384, 45, 165, 285, 405, 54, 174, 294, 414, 41, 161, 281, 401)(22, 142, 262, 382, 42, 162, 282, 402, 25, 145, 265, 385, 46, 166, 286, 406, 28, 148, 268, 388, 43, 163, 283, 403)(48, 168, 288, 408, 61, 181, 301, 421, 50, 170, 290, 410, 65, 185, 305, 425, 53, 173, 293, 413, 62, 182, 302, 422)(49, 169, 289, 409, 63, 183, 303, 423, 51, 171, 291, 411, 66, 186, 306, 426, 52, 172, 292, 412, 64, 184, 304, 424)(55, 175, 295, 415, 67, 187, 307, 427, 57, 177, 297, 417, 71, 191, 311, 431, 60, 180, 300, 420, 68, 188, 308, 428)(56, 176, 296, 416, 69, 189, 309, 429, 58, 178, 298, 418, 72, 192, 312, 432, 59, 179, 299, 419, 70, 190, 310, 430)(73, 193, 313, 433, 85, 205, 325, 445, 75, 195, 315, 435, 89, 209, 329, 449, 78, 198, 318, 438, 86, 206, 326, 446)(74, 194, 314, 434, 87, 207, 327, 447, 76, 196, 316, 436, 90, 210, 330, 450, 77, 197, 317, 437, 88, 208, 328, 448)(79, 199, 319, 439, 91, 211, 331, 451, 81, 201, 321, 441, 95, 215, 335, 455, 84, 204, 324, 444, 92, 212, 332, 452)(80, 200, 320, 440, 93, 213, 333, 453, 82, 202, 322, 442, 96, 216, 336, 456, 83, 203, 323, 443, 94, 214, 334, 454)(97, 217, 337, 457, 109, 229, 349, 469, 99, 219, 339, 459, 113, 233, 353, 473, 102, 222, 342, 462, 110, 230, 350, 470)(98, 218, 338, 458, 111, 231, 351, 471, 100, 220, 340, 460, 114, 234, 354, 474, 101, 221, 341, 461, 112, 232, 352, 472)(103, 223, 343, 463, 115, 235, 355, 475, 105, 225, 345, 465, 119, 239, 359, 479, 108, 228, 348, 468, 116, 236, 356, 476)(104, 224, 344, 464, 117, 237, 357, 477, 106, 226, 346, 466, 120, 240, 360, 480, 107, 227, 347, 467, 118, 238, 358, 478)
	L = (1, 122)(2, 121)(3, 129)(4, 132)(5, 135)(6, 138)(7, 141)(8, 144)(9, 123)(10, 145)(11, 148)(12, 124)(13, 147)(14, 146)(15, 125)(16, 139)(17, 143)(18, 126)(19, 136)(20, 158)(21, 127)(22, 157)(23, 137)(24, 128)(25, 130)(26, 134)(27, 133)(28, 131)(29, 159)(30, 168)(31, 170)(32, 171)(33, 172)(34, 167)(35, 173)(36, 169)(37, 142)(38, 140)(39, 149)(40, 175)(41, 177)(42, 178)(43, 179)(44, 174)(45, 180)(46, 176)(47, 154)(48, 150)(49, 156)(50, 151)(51, 152)(52, 153)(53, 155)(54, 164)(55, 160)(56, 166)(57, 161)(58, 162)(59, 163)(60, 165)(61, 193)(62, 195)(63, 196)(64, 197)(65, 198)(66, 194)(67, 199)(68, 201)(69, 202)(70, 203)(71, 204)(72, 200)(73, 181)(74, 186)(75, 182)(76, 183)(77, 184)(78, 185)(79, 187)(80, 192)(81, 188)(82, 189)(83, 190)(84, 191)(85, 217)(86, 219)(87, 220)(88, 221)(89, 222)(90, 218)(91, 223)(92, 225)(93, 226)(94, 227)(95, 228)(96, 224)(97, 205)(98, 210)(99, 206)(100, 207)(101, 208)(102, 209)(103, 211)(104, 216)(105, 212)(106, 213)(107, 214)(108, 215)(109, 240)(110, 238)(111, 239)(112, 236)(113, 237)(114, 235)(115, 234)(116, 232)(117, 233)(118, 230)(119, 231)(120, 229)(241, 363)(242, 366)(243, 361)(244, 373)(245, 376)(246, 362)(247, 382)(248, 385)(249, 386)(250, 381)(251, 384)(252, 379)(253, 364)(254, 389)(255, 380)(256, 365)(257, 378)(258, 377)(259, 372)(260, 375)(261, 370)(262, 367)(263, 399)(264, 371)(265, 368)(266, 369)(267, 407)(268, 404)(269, 374)(270, 409)(271, 411)(272, 408)(273, 410)(274, 398)(275, 412)(276, 413)(277, 414)(278, 394)(279, 383)(280, 416)(281, 418)(282, 415)(283, 417)(284, 388)(285, 419)(286, 420)(287, 387)(288, 392)(289, 390)(290, 393)(291, 391)(292, 395)(293, 396)(294, 397)(295, 402)(296, 400)(297, 403)(298, 401)(299, 405)(300, 406)(301, 434)(302, 436)(303, 433)(304, 435)(305, 437)(306, 438)(307, 440)(308, 442)(309, 439)(310, 441)(311, 443)(312, 444)(313, 423)(314, 421)(315, 424)(316, 422)(317, 425)(318, 426)(319, 429)(320, 427)(321, 430)(322, 428)(323, 431)(324, 432)(325, 458)(326, 460)(327, 457)(328, 459)(329, 461)(330, 462)(331, 464)(332, 466)(333, 463)(334, 465)(335, 467)(336, 468)(337, 447)(338, 445)(339, 448)(340, 446)(341, 449)(342, 450)(343, 453)(344, 451)(345, 454)(346, 452)(347, 455)(348, 456)(349, 475)(350, 479)(351, 480)(352, 478)(353, 476)(354, 477)(355, 469)(356, 473)(357, 474)(358, 472)(359, 470)(360, 471)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2627
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.2634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^6, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^5 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 24, 144)(11, 131, 26, 146)(13, 133, 22, 142)(15, 135, 20, 140)(17, 137, 34, 154)(18, 138, 36, 156)(23, 143, 37, 157)(25, 145, 43, 163)(27, 147, 33, 153)(28, 148, 50, 170)(29, 149, 51, 171)(30, 150, 52, 172)(31, 151, 54, 174)(32, 152, 44, 164)(35, 155, 56, 176)(38, 158, 63, 183)(39, 159, 64, 184)(40, 160, 65, 185)(41, 161, 67, 187)(42, 162, 57, 177)(45, 165, 71, 191)(46, 166, 72, 192)(47, 167, 73, 193)(48, 168, 75, 195)(49, 169, 76, 196)(53, 173, 68, 188)(55, 175, 66, 186)(58, 178, 87, 207)(59, 179, 88, 208)(60, 180, 89, 209)(61, 181, 91, 211)(62, 182, 92, 212)(69, 189, 93, 213)(70, 190, 102, 222)(74, 194, 101, 221)(77, 197, 85, 205)(78, 198, 95, 215)(79, 199, 94, 214)(80, 200, 99, 219)(81, 201, 110, 230)(82, 202, 113, 233)(83, 203, 96, 216)(84, 204, 103, 223)(86, 206, 108, 228)(90, 210, 116, 236)(97, 217, 120, 240)(98, 218, 112, 232)(100, 220, 107, 227)(104, 224, 119, 239)(105, 225, 118, 238)(106, 226, 114, 234)(109, 229, 117, 237)(111, 231, 115, 235)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 260, 380)(252, 372, 267, 387)(253, 373, 256, 376)(254, 374, 266, 386)(255, 375, 265, 385)(259, 379, 277, 397)(261, 381, 276, 396)(262, 382, 275, 395)(263, 383, 280, 400)(264, 384, 284, 404)(268, 388, 288, 408)(269, 389, 289, 409)(270, 390, 273, 393)(271, 391, 285, 405)(272, 392, 287, 407)(274, 394, 297, 417)(278, 398, 301, 421)(279, 399, 302, 422)(281, 401, 298, 418)(282, 402, 300, 420)(283, 403, 306, 426)(286, 406, 310, 430)(290, 410, 311, 431)(291, 411, 315, 435)(292, 412, 317, 437)(293, 413, 296, 416)(294, 414, 312, 432)(295, 415, 314, 434)(299, 419, 326, 446)(303, 423, 327, 447)(304, 424, 331, 451)(305, 425, 333, 453)(307, 427, 328, 448)(308, 428, 330, 450)(309, 429, 338, 458)(313, 433, 343, 463)(316, 436, 350, 470)(318, 438, 345, 465)(319, 439, 344, 464)(320, 440, 349, 469)(321, 441, 352, 472)(322, 442, 325, 445)(323, 443, 346, 466)(324, 444, 348, 468)(329, 449, 347, 467)(332, 452, 360, 480)(334, 454, 358, 478)(335, 455, 357, 477)(336, 456, 359, 479)(337, 457, 353, 473)(339, 459, 355, 475)(340, 460, 342, 462)(341, 461, 351, 471)(354, 474, 356, 476)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 258)(10, 265)(11, 243)(12, 268)(13, 270)(14, 271)(15, 245)(16, 251)(17, 275)(18, 246)(19, 278)(20, 280)(21, 281)(22, 248)(23, 249)(24, 285)(25, 287)(26, 288)(27, 289)(28, 254)(29, 252)(30, 293)(31, 284)(32, 255)(33, 256)(34, 298)(35, 300)(36, 301)(37, 302)(38, 261)(39, 259)(40, 306)(41, 297)(42, 262)(43, 263)(44, 310)(45, 266)(46, 264)(47, 314)(48, 267)(49, 317)(50, 318)(51, 320)(52, 269)(53, 322)(54, 319)(55, 272)(56, 273)(57, 326)(58, 276)(59, 274)(60, 330)(61, 277)(62, 333)(63, 334)(64, 336)(65, 279)(66, 338)(67, 335)(68, 282)(69, 283)(70, 343)(71, 344)(72, 346)(73, 286)(74, 348)(75, 345)(76, 349)(77, 352)(78, 291)(79, 290)(80, 350)(81, 292)(82, 354)(83, 294)(84, 295)(85, 296)(86, 347)(87, 357)(88, 355)(89, 299)(90, 342)(91, 358)(92, 359)(93, 353)(94, 304)(95, 303)(96, 360)(97, 305)(98, 351)(99, 307)(100, 308)(101, 309)(102, 323)(103, 329)(104, 312)(105, 311)(106, 340)(107, 313)(108, 339)(109, 315)(110, 341)(111, 316)(112, 337)(113, 321)(114, 332)(115, 324)(116, 325)(117, 328)(118, 327)(119, 331)(120, 356)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2639
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^20 ]
Map:: non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 24, 144)(11, 131, 26, 146)(13, 133, 22, 142)(15, 135, 20, 140)(17, 137, 29, 149)(18, 138, 28, 148)(23, 143, 31, 151)(25, 145, 37, 157)(27, 147, 33, 153)(30, 150, 42, 162)(32, 152, 38, 158)(34, 154, 45, 165)(35, 155, 39, 159)(36, 156, 41, 161)(40, 160, 51, 171)(43, 163, 48, 168)(44, 164, 47, 167)(46, 166, 54, 174)(49, 169, 50, 170)(52, 172, 61, 181)(53, 173, 57, 177)(55, 175, 66, 186)(56, 176, 62, 182)(58, 178, 69, 189)(59, 179, 63, 183)(60, 180, 65, 185)(64, 184, 75, 195)(67, 187, 72, 192)(68, 188, 71, 191)(70, 190, 78, 198)(73, 193, 74, 194)(76, 196, 85, 205)(77, 197, 81, 201)(79, 199, 90, 210)(80, 200, 86, 206)(82, 202, 93, 213)(83, 203, 87, 207)(84, 204, 89, 209)(88, 208, 99, 219)(91, 211, 96, 216)(92, 212, 95, 215)(94, 214, 102, 222)(97, 217, 98, 218)(100, 220, 109, 229)(101, 221, 105, 225)(103, 223, 114, 234)(104, 224, 110, 230)(106, 226, 116, 236)(107, 227, 111, 231)(108, 228, 113, 233)(112, 232, 120, 240)(115, 235, 118, 238)(117, 237, 119, 239)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 260, 380)(252, 372, 267, 387)(253, 373, 256, 376)(254, 374, 266, 386)(255, 375, 265, 385)(259, 379, 271, 391)(261, 381, 268, 388)(262, 382, 274, 394)(263, 383, 275, 395)(264, 384, 278, 398)(269, 389, 281, 401)(270, 390, 273, 393)(272, 392, 280, 400)(276, 396, 286, 406)(277, 397, 287, 407)(279, 399, 290, 410)(282, 402, 293, 413)(283, 403, 285, 405)(284, 404, 292, 412)(288, 408, 298, 418)(289, 409, 299, 419)(291, 411, 302, 422)(294, 414, 305, 425)(295, 415, 297, 417)(296, 416, 304, 424)(300, 420, 310, 430)(301, 421, 311, 431)(303, 423, 314, 434)(306, 426, 317, 437)(307, 427, 309, 429)(308, 428, 316, 436)(312, 432, 322, 442)(313, 433, 323, 443)(315, 435, 326, 446)(318, 438, 329, 449)(319, 439, 321, 441)(320, 440, 328, 448)(324, 444, 334, 454)(325, 445, 335, 455)(327, 447, 338, 458)(330, 450, 341, 461)(331, 451, 333, 453)(332, 452, 340, 460)(336, 456, 346, 466)(337, 457, 347, 467)(339, 459, 350, 470)(342, 462, 353, 473)(343, 463, 345, 465)(344, 464, 352, 472)(348, 468, 357, 477)(349, 469, 358, 478)(351, 471, 359, 479)(354, 474, 360, 480)(355, 475, 356, 476)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 258)(10, 265)(11, 243)(12, 268)(13, 270)(14, 271)(15, 245)(16, 251)(17, 274)(18, 246)(19, 266)(20, 275)(21, 267)(22, 248)(23, 249)(24, 259)(25, 280)(26, 261)(27, 281)(28, 254)(29, 252)(30, 283)(31, 278)(32, 255)(33, 256)(34, 286)(35, 287)(36, 262)(37, 263)(38, 290)(39, 264)(40, 292)(41, 293)(42, 269)(43, 295)(44, 272)(45, 273)(46, 298)(47, 299)(48, 276)(49, 277)(50, 302)(51, 279)(52, 304)(53, 305)(54, 282)(55, 307)(56, 284)(57, 285)(58, 310)(59, 311)(60, 288)(61, 289)(62, 314)(63, 291)(64, 316)(65, 317)(66, 294)(67, 319)(68, 296)(69, 297)(70, 322)(71, 323)(72, 300)(73, 301)(74, 326)(75, 303)(76, 328)(77, 329)(78, 306)(79, 331)(80, 308)(81, 309)(82, 334)(83, 335)(84, 312)(85, 313)(86, 338)(87, 315)(88, 340)(89, 341)(90, 318)(91, 343)(92, 320)(93, 321)(94, 346)(95, 347)(96, 324)(97, 325)(98, 350)(99, 327)(100, 352)(101, 353)(102, 330)(103, 355)(104, 332)(105, 333)(106, 357)(107, 358)(108, 336)(109, 337)(110, 359)(111, 339)(112, 356)(113, 360)(114, 342)(115, 344)(116, 345)(117, 349)(118, 348)(119, 354)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2638
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^2)^2, (Y1 * Y3^-1 * Y1 * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 15, 135)(7, 127, 18, 138)(8, 128, 20, 140)(10, 130, 24, 144)(11, 131, 26, 146)(13, 133, 19, 139)(16, 136, 34, 154)(17, 137, 36, 156)(21, 141, 41, 161)(22, 142, 40, 160)(23, 143, 37, 157)(25, 145, 44, 164)(27, 147, 33, 153)(28, 148, 51, 171)(29, 149, 52, 172)(30, 150, 32, 152)(31, 151, 53, 173)(35, 155, 56, 176)(38, 158, 63, 183)(39, 159, 64, 184)(42, 162, 68, 188)(43, 163, 70, 190)(45, 165, 67, 187)(46, 166, 73, 193)(47, 167, 74, 194)(48, 168, 66, 186)(49, 169, 75, 195)(50, 170, 76, 196)(54, 174, 82, 202)(55, 175, 84, 204)(57, 177, 81, 201)(58, 178, 87, 207)(59, 179, 88, 208)(60, 180, 80, 200)(61, 181, 89, 209)(62, 182, 90, 210)(65, 185, 93, 213)(69, 189, 96, 216)(71, 191, 101, 221)(72, 192, 102, 222)(77, 197, 92, 212)(78, 198, 91, 211)(79, 199, 109, 229)(83, 203, 110, 230)(85, 205, 95, 215)(86, 206, 94, 214)(97, 217, 108, 228)(98, 218, 116, 236)(99, 219, 113, 233)(100, 220, 105, 225)(103, 223, 114, 234)(104, 224, 115, 235)(106, 226, 111, 231)(107, 227, 112, 232)(117, 237, 119, 239)(118, 238, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 257, 377)(248, 368, 256, 376)(249, 369, 261, 381)(252, 372, 267, 387)(253, 373, 265, 385)(254, 374, 270, 390)(255, 375, 271, 391)(258, 378, 277, 397)(259, 379, 275, 395)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 282, 402)(264, 384, 285, 405)(266, 386, 288, 408)(268, 388, 290, 410)(269, 389, 289, 409)(272, 392, 295, 415)(273, 393, 294, 414)(274, 394, 297, 417)(276, 396, 300, 420)(278, 398, 302, 422)(279, 399, 301, 421)(281, 401, 305, 425)(284, 404, 309, 429)(286, 406, 312, 432)(287, 407, 311, 431)(291, 411, 313, 433)(292, 412, 314, 434)(293, 413, 319, 439)(296, 416, 323, 443)(298, 418, 326, 446)(299, 419, 325, 445)(303, 423, 327, 447)(304, 424, 328, 448)(306, 426, 335, 455)(307, 427, 334, 454)(308, 428, 337, 457)(310, 430, 340, 460)(315, 435, 345, 465)(316, 436, 348, 468)(317, 437, 344, 464)(318, 438, 343, 463)(320, 440, 341, 461)(321, 441, 342, 462)(322, 442, 338, 458)(324, 444, 339, 459)(329, 449, 353, 473)(330, 450, 356, 476)(331, 451, 352, 472)(332, 452, 351, 471)(333, 453, 346, 466)(336, 456, 357, 477)(347, 467, 359, 479)(349, 469, 354, 474)(350, 470, 358, 478)(355, 475, 360, 480)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 256)(7, 259)(8, 242)(9, 262)(10, 265)(11, 243)(12, 268)(13, 245)(14, 269)(15, 272)(16, 275)(17, 246)(18, 278)(19, 248)(20, 279)(21, 282)(22, 284)(23, 249)(24, 286)(25, 251)(26, 287)(27, 289)(28, 254)(29, 252)(30, 290)(31, 294)(32, 296)(33, 255)(34, 298)(35, 257)(36, 299)(37, 301)(38, 260)(39, 258)(40, 302)(41, 306)(42, 309)(43, 261)(44, 263)(45, 311)(46, 266)(47, 264)(48, 312)(49, 270)(50, 267)(51, 317)(52, 318)(53, 320)(54, 323)(55, 271)(56, 273)(57, 325)(58, 276)(59, 274)(60, 326)(61, 280)(62, 277)(63, 331)(64, 332)(65, 334)(66, 336)(67, 281)(68, 338)(69, 283)(70, 339)(71, 288)(72, 285)(73, 343)(74, 344)(75, 346)(76, 347)(77, 292)(78, 291)(79, 342)(80, 350)(81, 293)(82, 337)(83, 295)(84, 340)(85, 300)(86, 297)(87, 351)(88, 352)(89, 354)(90, 355)(91, 304)(92, 303)(93, 345)(94, 357)(95, 305)(96, 307)(97, 324)(98, 310)(99, 308)(100, 322)(101, 319)(102, 358)(103, 314)(104, 313)(105, 359)(106, 316)(107, 315)(108, 333)(109, 353)(110, 321)(111, 328)(112, 327)(113, 360)(114, 330)(115, 329)(116, 349)(117, 335)(118, 341)(119, 348)(120, 356)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2641
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y1 * Y2)^2, (Y3 * Y1)^6, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 15, 135)(7, 127, 18, 138)(8, 128, 20, 140)(10, 130, 24, 144)(11, 131, 26, 146)(13, 133, 19, 139)(16, 136, 34, 154)(17, 137, 36, 156)(21, 141, 41, 161)(22, 142, 40, 160)(23, 143, 37, 157)(25, 145, 44, 164)(27, 147, 33, 153)(28, 148, 51, 171)(29, 149, 52, 172)(30, 150, 32, 152)(31, 151, 53, 173)(35, 155, 56, 176)(38, 158, 63, 183)(39, 159, 64, 184)(42, 162, 68, 188)(43, 163, 70, 190)(45, 165, 67, 187)(46, 166, 73, 193)(47, 167, 74, 194)(48, 168, 66, 186)(49, 169, 75, 195)(50, 170, 76, 196)(54, 174, 82, 202)(55, 175, 84, 204)(57, 177, 81, 201)(58, 178, 87, 207)(59, 179, 88, 208)(60, 180, 80, 200)(61, 181, 89, 209)(62, 182, 90, 210)(65, 185, 93, 213)(69, 189, 96, 216)(71, 191, 101, 221)(72, 192, 102, 222)(77, 197, 92, 212)(78, 198, 91, 211)(79, 199, 109, 229)(83, 203, 110, 230)(85, 205, 94, 214)(86, 206, 95, 215)(97, 217, 105, 225)(98, 218, 116, 236)(99, 219, 113, 233)(100, 220, 108, 228)(103, 223, 114, 234)(104, 224, 115, 235)(106, 226, 111, 231)(107, 227, 112, 232)(117, 237, 119, 239)(118, 238, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 257, 377)(248, 368, 256, 376)(249, 369, 261, 381)(252, 372, 267, 387)(253, 373, 265, 385)(254, 374, 270, 390)(255, 375, 271, 391)(258, 378, 277, 397)(259, 379, 275, 395)(260, 380, 280, 400)(262, 382, 283, 403)(263, 383, 282, 402)(264, 384, 285, 405)(266, 386, 288, 408)(268, 388, 290, 410)(269, 389, 289, 409)(272, 392, 295, 415)(273, 393, 294, 414)(274, 394, 297, 417)(276, 396, 300, 420)(278, 398, 302, 422)(279, 399, 301, 421)(281, 401, 305, 425)(284, 404, 309, 429)(286, 406, 312, 432)(287, 407, 311, 431)(291, 411, 313, 433)(292, 412, 314, 434)(293, 413, 319, 439)(296, 416, 323, 443)(298, 418, 326, 446)(299, 419, 325, 445)(303, 423, 327, 447)(304, 424, 328, 448)(306, 426, 335, 455)(307, 427, 334, 454)(308, 428, 337, 457)(310, 430, 340, 460)(315, 435, 345, 465)(316, 436, 348, 468)(317, 437, 344, 464)(318, 438, 343, 463)(320, 440, 342, 462)(321, 441, 341, 461)(322, 442, 339, 459)(324, 444, 338, 458)(329, 449, 353, 473)(330, 450, 356, 476)(331, 451, 352, 472)(332, 452, 351, 471)(333, 453, 347, 467)(336, 456, 357, 477)(346, 466, 359, 479)(349, 469, 355, 475)(350, 470, 358, 478)(354, 474, 360, 480)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 256)(7, 259)(8, 242)(9, 262)(10, 265)(11, 243)(12, 268)(13, 245)(14, 269)(15, 272)(16, 275)(17, 246)(18, 278)(19, 248)(20, 279)(21, 282)(22, 284)(23, 249)(24, 286)(25, 251)(26, 287)(27, 289)(28, 254)(29, 252)(30, 290)(31, 294)(32, 296)(33, 255)(34, 298)(35, 257)(36, 299)(37, 301)(38, 260)(39, 258)(40, 302)(41, 306)(42, 309)(43, 261)(44, 263)(45, 311)(46, 266)(47, 264)(48, 312)(49, 270)(50, 267)(51, 317)(52, 318)(53, 320)(54, 323)(55, 271)(56, 273)(57, 325)(58, 276)(59, 274)(60, 326)(61, 280)(62, 277)(63, 331)(64, 332)(65, 334)(66, 336)(67, 281)(68, 338)(69, 283)(70, 339)(71, 288)(72, 285)(73, 343)(74, 344)(75, 346)(76, 347)(77, 292)(78, 291)(79, 341)(80, 350)(81, 293)(82, 340)(83, 295)(84, 337)(85, 300)(86, 297)(87, 351)(88, 352)(89, 354)(90, 355)(91, 304)(92, 303)(93, 348)(94, 357)(95, 305)(96, 307)(97, 322)(98, 310)(99, 308)(100, 324)(101, 358)(102, 319)(103, 314)(104, 313)(105, 333)(106, 316)(107, 315)(108, 359)(109, 356)(110, 321)(111, 328)(112, 327)(113, 349)(114, 330)(115, 329)(116, 360)(117, 335)(118, 342)(119, 345)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2640
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y1^2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 121, 2, 122, 4, 124, 8, 128, 6, 126, 5, 125)(3, 123, 9, 129, 10, 130, 18, 138, 12, 132, 11, 131)(7, 127, 14, 134, 13, 133, 20, 140, 16, 136, 15, 135)(17, 137, 23, 143, 19, 139, 26, 146, 25, 145, 24, 144)(21, 141, 28, 148, 22, 142, 30, 150, 27, 147, 29, 149)(31, 151, 37, 157, 32, 152, 39, 159, 33, 153, 38, 158)(34, 154, 40, 160, 35, 155, 42, 162, 36, 156, 41, 161)(43, 163, 49, 169, 44, 164, 51, 171, 45, 165, 50, 170)(46, 166, 76, 196, 47, 167, 77, 197, 48, 168, 78, 198)(52, 172, 82, 202, 56, 176, 86, 206, 54, 174, 83, 203)(53, 173, 84, 204, 55, 175, 87, 207, 57, 177, 85, 205)(58, 178, 88, 208, 59, 179, 90, 210, 62, 182, 89, 209)(60, 180, 91, 211, 61, 181, 93, 213, 63, 183, 92, 212)(64, 184, 94, 214, 65, 185, 96, 216, 66, 186, 95, 215)(67, 187, 97, 217, 68, 188, 99, 219, 69, 189, 98, 218)(70, 190, 100, 220, 71, 191, 102, 222, 72, 192, 101, 221)(73, 193, 103, 223, 74, 194, 105, 225, 75, 195, 104, 224)(79, 199, 109, 229, 80, 200, 111, 231, 81, 201, 110, 230)(106, 226, 118, 238, 108, 228, 119, 239, 107, 227, 120, 240)(112, 232, 114, 234, 113, 233, 115, 235, 116, 236, 117, 237)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 252, 372)(245, 365, 253, 373)(246, 366, 250, 370)(248, 368, 256, 376)(249, 369, 257, 377)(251, 371, 259, 379)(254, 374, 261, 381)(255, 375, 262, 382)(258, 378, 265, 385)(260, 380, 267, 387)(263, 383, 271, 391)(264, 384, 272, 392)(266, 386, 273, 393)(268, 388, 274, 394)(269, 389, 275, 395)(270, 390, 276, 396)(277, 397, 283, 403)(278, 398, 284, 404)(279, 399, 285, 405)(280, 400, 286, 406)(281, 401, 287, 407)(282, 402, 288, 408)(289, 409, 292, 412)(290, 410, 296, 416)(291, 411, 294, 414)(293, 413, 316, 436)(295, 415, 318, 438)(297, 417, 317, 437)(298, 418, 322, 442)(299, 419, 323, 443)(300, 420, 324, 444)(301, 421, 325, 445)(302, 422, 326, 446)(303, 423, 327, 447)(304, 424, 328, 448)(305, 425, 329, 449)(306, 426, 330, 450)(307, 427, 331, 451)(308, 428, 332, 452)(309, 429, 333, 453)(310, 430, 334, 454)(311, 431, 335, 455)(312, 432, 336, 456)(313, 433, 337, 457)(314, 434, 338, 458)(315, 435, 339, 459)(319, 439, 340, 460)(320, 440, 341, 461)(321, 441, 342, 462)(343, 463, 346, 466)(344, 464, 348, 468)(345, 465, 347, 467)(349, 469, 352, 472)(350, 470, 353, 473)(351, 471, 356, 476)(354, 474, 358, 478)(355, 475, 360, 480)(357, 477, 359, 479)
	L = (1, 244)(2, 248)(3, 250)(4, 246)(5, 242)(6, 241)(7, 253)(8, 245)(9, 258)(10, 252)(11, 249)(12, 243)(13, 256)(14, 260)(15, 254)(16, 247)(17, 259)(18, 251)(19, 265)(20, 255)(21, 262)(22, 267)(23, 266)(24, 263)(25, 257)(26, 264)(27, 261)(28, 270)(29, 268)(30, 269)(31, 272)(32, 273)(33, 271)(34, 275)(35, 276)(36, 274)(37, 279)(38, 277)(39, 278)(40, 282)(41, 280)(42, 281)(43, 284)(44, 285)(45, 283)(46, 287)(47, 288)(48, 286)(49, 291)(50, 289)(51, 290)(52, 296)(53, 295)(54, 292)(55, 297)(56, 294)(57, 293)(58, 299)(59, 302)(60, 301)(61, 303)(62, 298)(63, 300)(64, 305)(65, 306)(66, 304)(67, 308)(68, 309)(69, 307)(70, 311)(71, 312)(72, 310)(73, 314)(74, 315)(75, 313)(76, 317)(77, 318)(78, 316)(79, 320)(80, 321)(81, 319)(82, 326)(83, 322)(84, 327)(85, 324)(86, 323)(87, 325)(88, 330)(89, 328)(90, 329)(91, 333)(92, 331)(93, 332)(94, 336)(95, 334)(96, 335)(97, 339)(98, 337)(99, 338)(100, 342)(101, 340)(102, 341)(103, 345)(104, 343)(105, 344)(106, 348)(107, 346)(108, 347)(109, 351)(110, 349)(111, 350)(112, 353)(113, 356)(114, 355)(115, 357)(116, 352)(117, 354)(118, 359)(119, 360)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2635
Graph:: bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3^-1)^2, Y1^2 * Y3^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-3, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 18, 138, 15, 135, 5, 125)(3, 123, 11, 131, 25, 145, 35, 155, 19, 139, 13, 133)(4, 124, 9, 129, 6, 126, 10, 130, 20, 140, 16, 136)(8, 128, 21, 141, 17, 137, 32, 152, 33, 153, 23, 143)(12, 132, 27, 147, 14, 134, 28, 148, 34, 154, 29, 149)(22, 142, 37, 157, 24, 144, 38, 158, 31, 151, 39, 159)(26, 146, 41, 161, 30, 150, 46, 166, 48, 168, 43, 163)(36, 156, 49, 169, 40, 160, 54, 174, 47, 167, 51, 171)(42, 162, 56, 176, 44, 164, 57, 177, 45, 165, 58, 178)(50, 170, 62, 182, 52, 172, 63, 183, 53, 173, 64, 184)(55, 175, 67, 187, 59, 179, 72, 192, 60, 180, 69, 189)(61, 181, 73, 193, 65, 185, 78, 198, 66, 186, 75, 195)(68, 188, 80, 200, 70, 190, 81, 201, 71, 191, 82, 202)(74, 194, 86, 206, 76, 196, 87, 207, 77, 197, 88, 208)(79, 199, 91, 211, 83, 203, 96, 216, 84, 204, 93, 213)(85, 205, 97, 217, 89, 209, 102, 222, 90, 210, 99, 219)(92, 212, 104, 224, 94, 214, 105, 225, 95, 215, 106, 226)(98, 218, 110, 230, 100, 220, 111, 231, 101, 221, 112, 232)(103, 223, 115, 235, 107, 227, 120, 240, 108, 228, 117, 237)(109, 229, 119, 239, 113, 233, 116, 236, 114, 234, 118, 238)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 259, 379)(249, 369, 264, 384)(250, 370, 262, 382)(251, 371, 266, 386)(253, 373, 270, 390)(255, 375, 265, 385)(256, 376, 271, 391)(258, 378, 273, 393)(260, 380, 274, 394)(261, 381, 276, 396)(263, 383, 280, 400)(267, 387, 284, 404)(268, 388, 282, 402)(269, 389, 285, 405)(272, 392, 287, 407)(275, 395, 288, 408)(277, 397, 292, 412)(278, 398, 290, 410)(279, 399, 293, 413)(281, 401, 295, 415)(283, 403, 299, 419)(286, 406, 300, 420)(289, 409, 301, 421)(291, 411, 305, 425)(294, 414, 306, 426)(296, 416, 310, 430)(297, 417, 308, 428)(298, 418, 311, 431)(302, 422, 316, 436)(303, 423, 314, 434)(304, 424, 317, 437)(307, 427, 319, 439)(309, 429, 323, 443)(312, 432, 324, 444)(313, 433, 325, 445)(315, 435, 329, 449)(318, 438, 330, 450)(320, 440, 334, 454)(321, 441, 332, 452)(322, 442, 335, 455)(326, 446, 340, 460)(327, 447, 338, 458)(328, 448, 341, 461)(331, 451, 343, 463)(333, 453, 347, 467)(336, 456, 348, 468)(337, 457, 349, 469)(339, 459, 353, 473)(342, 462, 354, 474)(344, 464, 358, 478)(345, 465, 356, 476)(346, 466, 359, 479)(350, 470, 360, 480)(351, 471, 355, 475)(352, 472, 357, 477)
	L = (1, 244)(2, 249)(3, 252)(4, 255)(5, 256)(6, 241)(7, 246)(8, 262)(9, 245)(10, 242)(11, 267)(12, 259)(13, 269)(14, 243)(15, 260)(16, 258)(17, 264)(18, 250)(19, 274)(20, 247)(21, 277)(22, 273)(23, 279)(24, 248)(25, 254)(26, 282)(27, 253)(28, 251)(29, 275)(30, 284)(31, 257)(32, 278)(33, 271)(34, 265)(35, 268)(36, 290)(37, 263)(38, 261)(39, 272)(40, 292)(41, 296)(42, 288)(43, 298)(44, 266)(45, 270)(46, 297)(47, 293)(48, 285)(49, 302)(50, 287)(51, 304)(52, 276)(53, 280)(54, 303)(55, 308)(56, 283)(57, 281)(58, 286)(59, 310)(60, 311)(61, 314)(62, 291)(63, 289)(64, 294)(65, 316)(66, 317)(67, 320)(68, 300)(69, 322)(70, 295)(71, 299)(72, 321)(73, 326)(74, 306)(75, 328)(76, 301)(77, 305)(78, 327)(79, 332)(80, 309)(81, 307)(82, 312)(83, 334)(84, 335)(85, 338)(86, 315)(87, 313)(88, 318)(89, 340)(90, 341)(91, 344)(92, 324)(93, 346)(94, 319)(95, 323)(96, 345)(97, 350)(98, 330)(99, 352)(100, 325)(101, 329)(102, 351)(103, 356)(104, 333)(105, 331)(106, 336)(107, 358)(108, 359)(109, 355)(110, 339)(111, 337)(112, 342)(113, 360)(114, 357)(115, 354)(116, 348)(117, 353)(118, 343)(119, 347)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2634
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, Y1^6, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 20, 140, 19, 139, 5, 125)(3, 123, 11, 131, 29, 149, 47, 167, 21, 141, 13, 133)(4, 124, 15, 135, 37, 157, 45, 165, 22, 142, 10, 130)(6, 126, 18, 138, 42, 162, 44, 164, 23, 143, 9, 129)(8, 128, 24, 144, 17, 137, 40, 160, 43, 163, 26, 146)(12, 132, 33, 153, 46, 166, 76, 196, 57, 177, 32, 152)(14, 134, 36, 156, 48, 168, 79, 199, 58, 178, 31, 151)(16, 136, 28, 148, 49, 169, 75, 195, 68, 188, 39, 159)(25, 145, 53, 173, 73, 193, 70, 190, 38, 158, 52, 172)(27, 147, 56, 176, 74, 194, 72, 192, 41, 161, 51, 171)(30, 150, 59, 179, 35, 155, 66, 186, 78, 198, 61, 181)(34, 154, 63, 183, 89, 209, 106, 226, 77, 197, 65, 185)(50, 170, 80, 200, 55, 175, 87, 207, 71, 191, 82, 202)(54, 174, 84, 204, 69, 189, 101, 221, 104, 224, 86, 206)(60, 180, 93, 213, 105, 225, 98, 218, 64, 184, 92, 212)(62, 182, 96, 216, 107, 227, 100, 220, 67, 187, 91, 211)(81, 201, 109, 229, 102, 222, 112, 232, 85, 205, 108, 228)(83, 203, 99, 219, 103, 223, 90, 210, 88, 208, 95, 215)(94, 214, 114, 234, 97, 217, 117, 237, 120, 240, 116, 236)(110, 230, 115, 235, 111, 231, 113, 233, 119, 239, 118, 238)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 261, 381)(249, 369, 267, 387)(250, 370, 265, 385)(251, 371, 270, 390)(253, 373, 275, 395)(255, 375, 278, 398)(256, 376, 274, 394)(258, 378, 281, 401)(259, 379, 269, 389)(260, 380, 283, 403)(262, 382, 288, 408)(263, 383, 286, 406)(264, 384, 290, 410)(266, 386, 295, 415)(268, 388, 294, 414)(271, 391, 302, 422)(272, 392, 300, 420)(273, 393, 304, 424)(276, 396, 307, 427)(277, 397, 298, 418)(279, 399, 309, 429)(280, 400, 311, 431)(282, 402, 297, 417)(284, 404, 314, 434)(285, 405, 313, 433)(287, 407, 318, 438)(289, 409, 317, 437)(291, 411, 323, 443)(292, 412, 321, 441)(293, 413, 325, 445)(296, 416, 328, 448)(299, 419, 330, 450)(301, 421, 335, 455)(303, 423, 334, 454)(305, 425, 337, 457)(306, 426, 339, 459)(308, 428, 329, 449)(310, 430, 342, 462)(312, 432, 343, 463)(315, 435, 344, 464)(316, 436, 345, 465)(319, 439, 347, 467)(320, 440, 336, 456)(322, 442, 340, 460)(324, 444, 350, 470)(326, 446, 351, 471)(327, 447, 331, 451)(332, 452, 353, 473)(333, 453, 355, 475)(338, 458, 358, 478)(341, 461, 359, 479)(346, 466, 360, 480)(348, 468, 356, 476)(349, 469, 357, 477)(352, 472, 354, 474)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 258)(6, 241)(7, 262)(8, 265)(9, 268)(10, 242)(11, 271)(12, 274)(13, 276)(14, 243)(15, 245)(16, 246)(17, 278)(18, 279)(19, 277)(20, 284)(21, 286)(22, 289)(23, 247)(24, 291)(25, 294)(26, 296)(27, 248)(28, 250)(29, 297)(30, 300)(31, 303)(32, 251)(33, 253)(34, 254)(35, 304)(36, 305)(37, 308)(38, 309)(39, 255)(40, 312)(41, 257)(42, 259)(43, 313)(44, 315)(45, 260)(46, 317)(47, 319)(48, 261)(49, 263)(50, 321)(51, 324)(52, 264)(53, 266)(54, 267)(55, 325)(56, 326)(57, 329)(58, 269)(59, 331)(60, 334)(61, 336)(62, 270)(63, 272)(64, 337)(65, 273)(66, 340)(67, 275)(68, 282)(69, 281)(70, 280)(71, 342)(72, 341)(73, 344)(74, 283)(75, 285)(76, 287)(77, 288)(78, 345)(79, 346)(80, 335)(81, 350)(82, 339)(83, 290)(84, 292)(85, 351)(86, 293)(87, 330)(88, 295)(89, 298)(90, 353)(91, 354)(92, 299)(93, 301)(94, 302)(95, 355)(96, 356)(97, 307)(98, 306)(99, 358)(100, 357)(101, 310)(102, 359)(103, 311)(104, 314)(105, 360)(106, 316)(107, 318)(108, 320)(109, 322)(110, 323)(111, 328)(112, 327)(113, 352)(114, 332)(115, 348)(116, 333)(117, 338)(118, 349)(119, 343)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2637
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = (C2 x C2 x D30) : C2 (small group id <240, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 20, 140, 19, 139, 5, 125)(3, 123, 11, 131, 29, 149, 47, 167, 21, 141, 13, 133)(4, 124, 15, 135, 37, 157, 45, 165, 22, 142, 10, 130)(6, 126, 18, 138, 42, 162, 44, 164, 23, 143, 9, 129)(8, 128, 24, 144, 17, 137, 40, 160, 43, 163, 26, 146)(12, 132, 33, 153, 46, 166, 76, 196, 57, 177, 32, 152)(14, 134, 36, 156, 48, 168, 79, 199, 58, 178, 31, 151)(16, 136, 28, 148, 49, 169, 75, 195, 68, 188, 39, 159)(25, 145, 53, 173, 73, 193, 70, 190, 38, 158, 52, 172)(27, 147, 56, 176, 74, 194, 72, 192, 41, 161, 51, 171)(30, 150, 59, 179, 35, 155, 66, 186, 78, 198, 61, 181)(34, 154, 63, 183, 89, 209, 106, 226, 77, 197, 65, 185)(50, 170, 80, 200, 55, 175, 87, 207, 71, 191, 82, 202)(54, 174, 84, 204, 69, 189, 101, 221, 104, 224, 86, 206)(60, 180, 93, 213, 105, 225, 98, 218, 64, 184, 92, 212)(62, 182, 96, 216, 107, 227, 100, 220, 67, 187, 91, 211)(81, 201, 99, 219, 102, 222, 90, 210, 85, 205, 95, 215)(83, 203, 110, 230, 103, 223, 112, 232, 88, 208, 108, 228)(94, 214, 114, 234, 97, 217, 117, 237, 120, 240, 115, 235)(109, 229, 116, 236, 111, 231, 113, 233, 119, 239, 118, 238)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 261, 381)(249, 369, 267, 387)(250, 370, 265, 385)(251, 371, 270, 390)(253, 373, 275, 395)(255, 375, 278, 398)(256, 376, 274, 394)(258, 378, 281, 401)(259, 379, 269, 389)(260, 380, 283, 403)(262, 382, 288, 408)(263, 383, 286, 406)(264, 384, 290, 410)(266, 386, 295, 415)(268, 388, 294, 414)(271, 391, 302, 422)(272, 392, 300, 420)(273, 393, 304, 424)(276, 396, 307, 427)(277, 397, 298, 418)(279, 399, 309, 429)(280, 400, 311, 431)(282, 402, 297, 417)(284, 404, 314, 434)(285, 405, 313, 433)(287, 407, 318, 438)(289, 409, 317, 437)(291, 411, 323, 443)(292, 412, 321, 441)(293, 413, 325, 445)(296, 416, 328, 448)(299, 419, 330, 450)(301, 421, 335, 455)(303, 423, 334, 454)(305, 425, 337, 457)(306, 426, 339, 459)(308, 428, 329, 449)(310, 430, 342, 462)(312, 432, 343, 463)(315, 435, 344, 464)(316, 436, 345, 465)(319, 439, 347, 467)(320, 440, 333, 453)(322, 442, 338, 458)(324, 444, 349, 469)(326, 446, 351, 471)(327, 447, 332, 452)(331, 451, 353, 473)(336, 456, 356, 476)(340, 460, 358, 478)(341, 461, 359, 479)(346, 466, 360, 480)(348, 468, 355, 475)(350, 470, 357, 477)(352, 472, 354, 474)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 258)(6, 241)(7, 262)(8, 265)(9, 268)(10, 242)(11, 271)(12, 274)(13, 276)(14, 243)(15, 245)(16, 246)(17, 278)(18, 279)(19, 277)(20, 284)(21, 286)(22, 289)(23, 247)(24, 291)(25, 294)(26, 296)(27, 248)(28, 250)(29, 297)(30, 300)(31, 303)(32, 251)(33, 253)(34, 254)(35, 304)(36, 305)(37, 308)(38, 309)(39, 255)(40, 312)(41, 257)(42, 259)(43, 313)(44, 315)(45, 260)(46, 317)(47, 319)(48, 261)(49, 263)(50, 321)(51, 324)(52, 264)(53, 266)(54, 267)(55, 325)(56, 326)(57, 329)(58, 269)(59, 331)(60, 334)(61, 336)(62, 270)(63, 272)(64, 337)(65, 273)(66, 340)(67, 275)(68, 282)(69, 281)(70, 280)(71, 342)(72, 341)(73, 344)(74, 283)(75, 285)(76, 287)(77, 288)(78, 345)(79, 346)(80, 348)(81, 349)(82, 350)(83, 290)(84, 292)(85, 351)(86, 293)(87, 352)(88, 295)(89, 298)(90, 327)(91, 354)(92, 299)(93, 301)(94, 302)(95, 320)(96, 355)(97, 307)(98, 306)(99, 322)(100, 357)(101, 310)(102, 359)(103, 311)(104, 314)(105, 360)(106, 316)(107, 318)(108, 356)(109, 323)(110, 358)(111, 328)(112, 353)(113, 330)(114, 332)(115, 333)(116, 335)(117, 338)(118, 339)(119, 343)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2636
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2642 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^6, (Y3 * Y1)^6, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, (Y1 * Y3 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 130, 10, 125)(6, 132, 12, 126)(8, 135, 15, 128)(11, 140, 20, 131)(13, 143, 23, 133)(14, 145, 25, 134)(16, 148, 28, 136)(17, 150, 30, 137)(18, 151, 31, 138)(19, 153, 33, 139)(21, 156, 36, 141)(22, 158, 38, 142)(24, 161, 41, 144)(26, 164, 44, 146)(27, 166, 46, 147)(29, 169, 49, 149)(32, 174, 54, 152)(34, 177, 57, 154)(35, 179, 59, 155)(37, 182, 62, 157)(39, 172, 52, 159)(40, 186, 66, 160)(42, 189, 69, 162)(43, 191, 71, 163)(45, 194, 74, 165)(47, 197, 77, 167)(48, 199, 79, 168)(50, 202, 82, 170)(51, 184, 64, 171)(53, 192, 72, 173)(55, 187, 67, 175)(56, 203, 83, 176)(58, 207, 87, 178)(60, 185, 65, 180)(61, 201, 81, 181)(63, 196, 76, 183)(68, 213, 93, 188)(70, 215, 95, 190)(73, 217, 97, 193)(75, 220, 100, 195)(78, 222, 102, 198)(80, 224, 104, 200)(84, 227, 107, 204)(85, 228, 108, 205)(86, 229, 109, 206)(88, 232, 112, 208)(89, 233, 113, 209)(90, 234, 114, 210)(91, 221, 101, 211)(92, 231, 111, 212)(94, 219, 99, 214)(96, 226, 106, 216)(98, 223, 103, 218)(105, 230, 110, 225)(115, 238, 118, 235)(116, 239, 119, 236)(117, 240, 120, 237)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 42)(27, 45)(28, 47)(30, 50)(31, 52)(33, 55)(35, 58)(36, 60)(38, 63)(40, 65)(41, 67)(43, 70)(44, 72)(46, 75)(48, 78)(49, 80)(51, 83)(53, 77)(54, 69)(56, 85)(57, 66)(59, 88)(61, 89)(62, 90)(64, 71)(68, 92)(73, 96)(74, 98)(76, 101)(79, 103)(81, 105)(82, 106)(84, 94)(86, 91)(87, 110)(93, 115)(95, 116)(97, 104)(99, 117)(100, 102)(107, 118)(108, 119)(109, 114)(111, 120)(112, 113)(121, 124)(122, 126)(123, 128)(125, 131)(127, 134)(129, 137)(130, 139)(132, 142)(133, 144)(135, 147)(136, 149)(138, 152)(140, 155)(141, 157)(143, 160)(145, 163)(146, 165)(148, 168)(150, 171)(151, 173)(153, 176)(154, 178)(156, 181)(158, 184)(159, 185)(161, 188)(162, 190)(164, 193)(166, 196)(167, 198)(169, 201)(170, 203)(172, 197)(174, 204)(175, 205)(177, 206)(179, 202)(180, 209)(182, 199)(183, 191)(186, 211)(187, 212)(189, 214)(192, 216)(194, 219)(195, 221)(200, 225)(207, 231)(208, 226)(210, 223)(213, 220)(215, 217)(218, 237)(222, 235)(224, 236)(227, 232)(228, 229)(230, 240)(233, 238)(234, 239)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2645
Transitivity :: VT+ AT
Graph:: simple
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.2643 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, (Y1 * Y3 * Y1 * Y2)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3, (Y1 * Y2 * Y3)^6 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 131, 11, 125)(6, 133, 13, 126)(8, 137, 17, 128)(10, 141, 21, 130)(12, 144, 24, 132)(14, 148, 28, 134)(15, 149, 29, 135)(16, 146, 26, 136)(18, 154, 34, 138)(19, 143, 23, 139)(20, 156, 36, 140)(22, 160, 40, 142)(25, 165, 45, 145)(27, 167, 47, 147)(30, 173, 53, 150)(31, 175, 55, 151)(32, 172, 52, 152)(33, 177, 57, 153)(35, 181, 61, 155)(37, 185, 65, 157)(38, 186, 66, 158)(39, 183, 63, 159)(41, 180, 60, 161)(42, 191, 71, 162)(43, 190, 70, 163)(44, 174, 54, 164)(46, 194, 74, 166)(48, 179, 59, 168)(49, 182, 62, 169)(50, 195, 75, 170)(51, 199, 79, 171)(56, 203, 83, 176)(58, 193, 73, 178)(64, 209, 89, 184)(67, 197, 77, 187)(68, 212, 92, 188)(69, 213, 93, 189)(72, 216, 96, 192)(76, 220, 100, 196)(78, 222, 102, 198)(80, 224, 104, 200)(81, 204, 84, 201)(82, 218, 98, 202)(85, 226, 106, 205)(86, 231, 111, 206)(87, 215, 95, 207)(88, 211, 91, 208)(90, 233, 113, 210)(94, 217, 97, 214)(99, 221, 101, 219)(103, 235, 115, 223)(105, 237, 117, 225)(107, 236, 116, 227)(108, 234, 114, 228)(109, 230, 110, 229)(112, 238, 118, 232)(119, 240, 120, 239)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 31)(17, 32)(20, 37)(21, 38)(23, 42)(24, 43)(27, 48)(28, 49)(29, 51)(30, 54)(33, 58)(34, 59)(35, 62)(36, 63)(39, 68)(40, 69)(41, 57)(44, 73)(45, 65)(46, 66)(47, 75)(50, 78)(52, 64)(53, 80)(55, 81)(56, 84)(60, 86)(61, 87)(67, 91)(70, 76)(71, 94)(72, 97)(74, 98)(77, 101)(79, 103)(82, 107)(83, 108)(85, 110)(88, 111)(89, 113)(90, 105)(92, 109)(93, 112)(95, 114)(96, 116)(99, 104)(100, 106)(102, 117)(115, 119)(118, 120)(121, 124)(122, 126)(123, 128)(125, 132)(127, 136)(129, 140)(130, 138)(131, 143)(133, 147)(134, 145)(135, 150)(137, 153)(139, 155)(141, 159)(142, 161)(144, 164)(146, 166)(148, 170)(149, 172)(151, 174)(152, 176)(154, 180)(156, 184)(157, 182)(158, 187)(160, 190)(162, 177)(163, 192)(165, 173)(167, 196)(168, 186)(169, 197)(171, 183)(175, 202)(178, 204)(179, 205)(181, 208)(185, 210)(188, 211)(189, 195)(191, 215)(193, 217)(194, 219)(198, 221)(199, 224)(200, 225)(201, 226)(203, 229)(206, 230)(207, 232)(209, 234)(212, 235)(213, 231)(214, 233)(216, 237)(218, 223)(220, 227)(222, 238)(228, 239)(236, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2646
Transitivity :: VT+ AT
Graph:: simple
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.2644 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y2)^5, (Y3 * Y1)^5, (Y1 * Y3 * Y1 * Y2)^3, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2, Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 130, 10, 125)(6, 132, 12, 126)(8, 135, 15, 128)(11, 140, 20, 131)(13, 143, 23, 133)(14, 145, 25, 134)(16, 148, 28, 136)(17, 150, 30, 137)(18, 151, 31, 138)(19, 153, 33, 139)(21, 156, 36, 141)(22, 158, 38, 142)(24, 160, 40, 144)(26, 163, 43, 146)(27, 165, 45, 147)(29, 168, 48, 149)(32, 171, 51, 152)(34, 174, 54, 154)(35, 176, 56, 155)(37, 179, 59, 157)(39, 181, 61, 159)(41, 178, 58, 161)(42, 185, 65, 162)(44, 188, 68, 164)(46, 186, 66, 166)(47, 172, 52, 167)(49, 193, 73, 169)(50, 194, 74, 170)(53, 198, 78, 173)(55, 201, 81, 175)(57, 199, 79, 177)(60, 206, 86, 180)(62, 209, 89, 182)(63, 211, 91, 183)(64, 212, 92, 184)(67, 207, 87, 187)(69, 217, 97, 189)(70, 218, 98, 190)(71, 219, 99, 191)(72, 221, 101, 192)(75, 225, 105, 195)(76, 227, 107, 196)(77, 228, 108, 197)(80, 223, 103, 200)(82, 233, 113, 202)(83, 234, 114, 203)(84, 235, 115, 204)(85, 237, 117, 205)(88, 238, 118, 208)(90, 231, 111, 210)(93, 229, 109, 213)(94, 230, 110, 214)(95, 226, 106, 215)(96, 236, 116, 216)(100, 232, 112, 220)(102, 224, 104, 222)(119, 240, 120, 239)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 31)(25, 41)(27, 44)(28, 46)(30, 49)(33, 52)(35, 55)(36, 57)(38, 60)(39, 50)(40, 62)(42, 64)(43, 66)(45, 69)(47, 70)(48, 71)(51, 75)(53, 77)(54, 79)(56, 82)(58, 83)(59, 84)(61, 87)(63, 90)(65, 93)(67, 94)(68, 95)(72, 100)(73, 102)(74, 103)(76, 106)(78, 109)(80, 110)(81, 111)(85, 116)(86, 118)(88, 115)(89, 114)(91, 113)(92, 108)(96, 119)(97, 107)(98, 105)(99, 104)(101, 117)(112, 120)(121, 124)(122, 126)(123, 128)(125, 131)(127, 134)(129, 137)(130, 139)(132, 142)(133, 144)(135, 147)(136, 149)(138, 152)(140, 155)(141, 157)(143, 159)(145, 162)(146, 164)(148, 167)(150, 158)(151, 170)(153, 173)(154, 175)(156, 178)(160, 183)(161, 184)(163, 187)(165, 185)(166, 190)(168, 192)(169, 180)(171, 196)(172, 197)(174, 200)(176, 198)(177, 203)(179, 205)(181, 208)(182, 210)(186, 214)(188, 216)(189, 213)(191, 220)(193, 217)(194, 224)(195, 226)(199, 230)(201, 232)(202, 229)(204, 236)(206, 233)(207, 235)(209, 225)(211, 238)(212, 237)(215, 239)(218, 234)(219, 223)(221, 228)(222, 227)(231, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2647
Transitivity :: VT+ AT
Graph:: simple
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.2645 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y1^6, Y1^2 * Y2 * Y1^3 * Y3 * Y1, Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 126, 6, 137, 17, 136, 16, 125, 5, 121)(3, 129, 9, 145, 25, 161, 41, 151, 31, 131, 11, 123)(4, 132, 12, 152, 32, 160, 40, 153, 33, 133, 13, 124)(7, 140, 20, 167, 47, 159, 39, 172, 52, 142, 22, 127)(8, 143, 23, 173, 53, 158, 38, 174, 54, 144, 24, 128)(10, 148, 28, 181, 61, 192, 72, 163, 43, 141, 21, 130)(14, 154, 34, 166, 46, 139, 19, 165, 45, 155, 35, 134)(15, 156, 36, 164, 44, 138, 18, 162, 42, 157, 37, 135)(26, 177, 57, 213, 93, 187, 67, 218, 98, 178, 58, 146)(27, 179, 59, 219, 99, 186, 66, 220, 100, 180, 60, 147)(29, 182, 62, 212, 92, 176, 56, 211, 91, 183, 63, 149)(30, 184, 64, 210, 90, 175, 55, 209, 89, 185, 65, 150)(48, 199, 79, 215, 95, 208, 88, 239, 119, 200, 80, 168)(49, 201, 81, 240, 120, 207, 87, 214, 94, 202, 82, 169)(50, 203, 83, 221, 101, 198, 78, 238, 118, 204, 84, 170)(51, 205, 85, 237, 117, 197, 77, 222, 102, 206, 86, 171)(68, 225, 105, 235, 115, 195, 75, 216, 96, 226, 106, 188)(69, 227, 107, 217, 97, 196, 76, 236, 116, 228, 108, 189)(70, 229, 109, 233, 113, 193, 73, 224, 104, 230, 110, 190)(71, 231, 111, 223, 103, 194, 74, 234, 114, 232, 112, 191)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 30)(13, 27)(15, 28)(16, 38)(17, 40)(19, 43)(20, 48)(22, 50)(23, 51)(24, 49)(25, 55)(31, 66)(32, 67)(33, 56)(34, 68)(35, 70)(36, 71)(37, 69)(39, 61)(41, 72)(42, 73)(44, 75)(45, 76)(46, 74)(47, 77)(52, 87)(53, 88)(54, 78)(57, 94)(58, 96)(59, 97)(60, 95)(62, 101)(63, 103)(64, 104)(65, 102)(79, 111)(80, 98)(81, 99)(82, 110)(83, 106)(84, 90)(85, 91)(86, 107)(89, 112)(92, 109)(93, 108)(100, 105)(113, 119)(114, 120)(115, 117)(116, 118)(121, 124)(122, 128)(123, 130)(125, 135)(126, 139)(127, 141)(129, 147)(131, 150)(132, 149)(133, 146)(134, 148)(136, 159)(137, 161)(138, 163)(140, 169)(142, 171)(143, 170)(144, 168)(145, 176)(151, 187)(152, 186)(153, 175)(154, 189)(155, 191)(156, 190)(157, 188)(158, 181)(160, 192)(162, 194)(164, 196)(165, 195)(166, 193)(167, 198)(172, 208)(173, 207)(174, 197)(177, 215)(178, 217)(179, 216)(180, 214)(182, 222)(183, 224)(184, 223)(185, 221)(199, 230)(200, 219)(201, 218)(202, 231)(203, 227)(204, 211)(205, 210)(206, 226)(209, 229)(212, 232)(213, 225)(220, 228)(233, 240)(234, 239)(235, 238)(236, 237)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2642
Transitivity :: VT+ AT
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2646 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, (Y2 * Y1 * Y3)^2, (Y3 * Y2)^3, Y1^2 * Y3 * Y1^-3 * Y3 * Y1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, (Y2 * Y1^-3)^2, (Y3 * Y2 * Y1^-2)^2, Y1^-2 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 126, 6, 138, 18, 137, 17, 125, 5, 121)(3, 129, 9, 147, 27, 169, 49, 154, 34, 131, 11, 123)(4, 132, 12, 155, 35, 170, 50, 161, 41, 134, 14, 124)(7, 141, 21, 177, 57, 167, 47, 184, 64, 143, 23, 127)(8, 144, 24, 185, 65, 168, 48, 190, 70, 146, 26, 128)(10, 150, 30, 196, 76, 223, 103, 188, 68, 145, 25, 130)(13, 158, 38, 212, 92, 224, 104, 172, 52, 159, 39, 133)(15, 162, 42, 173, 53, 139, 19, 171, 51, 163, 43, 135)(16, 164, 44, 176, 56, 140, 20, 174, 54, 166, 46, 136)(22, 180, 60, 165, 45, 221, 101, 229, 109, 175, 55, 142)(28, 189, 69, 214, 94, 204, 84, 234, 114, 194, 74, 148)(29, 195, 75, 233, 113, 205, 85, 226, 106, 179, 59, 149)(31, 199, 79, 183, 63, 231, 111, 219, 99, 200, 80, 151)(32, 187, 67, 235, 115, 191, 71, 238, 118, 201, 81, 152)(33, 202, 82, 237, 117, 192, 72, 213, 93, 186, 66, 153)(36, 207, 87, 181, 61, 217, 97, 228, 108, 209, 89, 156)(37, 210, 90, 227, 107, 218, 98, 240, 120, 211, 91, 157)(40, 215, 95, 225, 105, 206, 86, 197, 77, 216, 96, 160)(58, 230, 110, 236, 116, 232, 112, 222, 102, 198, 78, 178)(62, 203, 83, 239, 119, 208, 88, 220, 100, 193, 73, 182)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 31)(11, 32)(12, 36)(14, 29)(16, 45)(17, 47)(18, 49)(20, 55)(21, 58)(22, 61)(23, 62)(24, 66)(26, 59)(27, 71)(30, 77)(33, 83)(34, 84)(35, 85)(37, 80)(38, 93)(39, 78)(40, 73)(41, 97)(42, 96)(43, 91)(44, 99)(46, 75)(48, 76)(50, 104)(51, 105)(52, 82)(53, 107)(54, 79)(56, 106)(57, 88)(60, 74)(63, 98)(64, 112)(65, 113)(67, 87)(68, 95)(69, 90)(70, 117)(72, 100)(81, 102)(86, 119)(89, 101)(92, 116)(94, 109)(103, 111)(108, 118)(110, 115)(114, 120)(121, 124)(122, 128)(123, 130)(125, 136)(126, 140)(127, 142)(129, 149)(131, 153)(132, 157)(133, 151)(134, 160)(135, 158)(137, 168)(138, 170)(139, 172)(141, 179)(143, 183)(144, 187)(145, 181)(146, 189)(147, 192)(148, 193)(150, 198)(152, 199)(154, 205)(155, 206)(156, 208)(159, 214)(161, 218)(162, 195)(163, 207)(164, 220)(165, 213)(166, 222)(167, 221)(169, 223)(171, 226)(173, 228)(174, 203)(175, 202)(176, 230)(177, 200)(178, 210)(180, 215)(182, 217)(184, 233)(185, 234)(186, 211)(188, 236)(190, 238)(191, 219)(194, 212)(196, 209)(197, 229)(201, 216)(204, 239)(224, 231)(225, 235)(227, 237)(232, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2643
Transitivity :: VT+ AT
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2647 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, Y1^6, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-1, (Y1^-2 * Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y1^-2 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 126, 6, 137, 17, 136, 16, 125, 5, 121)(3, 129, 9, 145, 25, 160, 40, 151, 31, 131, 11, 123)(4, 132, 12, 152, 32, 161, 41, 153, 33, 133, 13, 124)(7, 140, 20, 167, 47, 158, 38, 172, 52, 142, 22, 127)(8, 143, 23, 173, 53, 159, 39, 174, 54, 144, 24, 128)(10, 148, 28, 181, 61, 192, 72, 163, 43, 141, 21, 130)(14, 154, 34, 164, 44, 138, 18, 162, 42, 155, 35, 134)(15, 156, 36, 166, 46, 139, 19, 165, 45, 157, 37, 135)(26, 177, 57, 213, 93, 186, 66, 216, 96, 178, 58, 146)(27, 179, 59, 217, 97, 187, 67, 218, 98, 180, 60, 147)(29, 182, 62, 210, 90, 175, 55, 209, 89, 183, 63, 149)(30, 184, 64, 212, 92, 176, 56, 211, 91, 185, 65, 150)(48, 199, 79, 237, 117, 207, 87, 238, 118, 200, 80, 168)(49, 201, 81, 239, 119, 208, 88, 240, 120, 202, 82, 169)(50, 203, 83, 234, 114, 197, 77, 233, 113, 204, 84, 170)(51, 205, 85, 236, 116, 198, 78, 235, 115, 206, 86, 171)(68, 221, 101, 226, 106, 193, 73, 225, 105, 220, 100, 188)(69, 219, 99, 228, 108, 194, 74, 227, 107, 222, 102, 189)(70, 223, 103, 230, 110, 195, 75, 229, 109, 214, 94, 190)(71, 215, 95, 232, 112, 196, 76, 231, 111, 224, 104, 191)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 30)(13, 27)(15, 28)(16, 38)(17, 40)(19, 43)(20, 48)(22, 50)(23, 51)(24, 49)(25, 55)(31, 66)(32, 67)(33, 56)(34, 68)(35, 70)(36, 71)(37, 69)(39, 61)(41, 72)(42, 73)(44, 75)(45, 76)(46, 74)(47, 77)(52, 87)(53, 88)(54, 78)(57, 94)(58, 86)(59, 83)(60, 95)(62, 99)(63, 79)(64, 82)(65, 100)(80, 112)(81, 109)(84, 105)(85, 108)(89, 107)(90, 118)(91, 119)(92, 106)(93, 116)(96, 110)(97, 111)(98, 113)(101, 114)(102, 115)(103, 120)(104, 117)(121, 124)(122, 128)(123, 130)(125, 135)(126, 139)(127, 141)(129, 147)(131, 150)(132, 149)(133, 146)(134, 148)(136, 159)(137, 161)(138, 163)(140, 169)(142, 171)(143, 170)(144, 168)(145, 176)(151, 187)(152, 186)(153, 175)(154, 189)(155, 191)(156, 190)(157, 188)(158, 181)(160, 192)(162, 194)(164, 196)(165, 195)(166, 193)(167, 198)(172, 208)(173, 207)(174, 197)(177, 215)(178, 203)(179, 206)(180, 214)(182, 220)(183, 202)(184, 199)(185, 219)(200, 229)(201, 232)(204, 228)(205, 225)(209, 226)(210, 239)(211, 238)(212, 227)(213, 233)(216, 231)(217, 230)(218, 236)(221, 235)(222, 234)(223, 237)(224, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2644
Transitivity :: VT+ AT
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2648 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^6, (Y1 * Y3)^6, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 7, 127)(5, 125, 10, 130)(8, 128, 16, 136)(9, 129, 17, 137)(11, 131, 21, 141)(12, 132, 22, 142)(13, 133, 24, 144)(14, 134, 25, 145)(15, 135, 26, 146)(18, 138, 32, 152)(19, 139, 33, 153)(20, 140, 34, 154)(23, 143, 39, 159)(27, 147, 47, 167)(28, 148, 48, 168)(29, 149, 50, 170)(30, 150, 51, 171)(31, 151, 52, 172)(35, 155, 60, 180)(36, 156, 61, 181)(37, 157, 63, 183)(38, 158, 64, 184)(40, 160, 68, 188)(41, 161, 69, 189)(42, 162, 71, 191)(43, 163, 72, 192)(44, 164, 74, 194)(45, 165, 75, 195)(46, 166, 76, 196)(49, 169, 80, 200)(53, 173, 77, 197)(54, 174, 87, 207)(55, 175, 89, 209)(56, 176, 83, 203)(57, 177, 78, 198)(58, 178, 91, 211)(59, 179, 81, 201)(62, 182, 93, 213)(65, 185, 96, 216)(66, 186, 82, 202)(67, 187, 97, 217)(70, 190, 79, 199)(73, 193, 100, 220)(84, 204, 98, 218)(85, 205, 94, 214)(86, 206, 99, 219)(88, 208, 92, 212)(90, 210, 108, 228)(95, 215, 111, 231)(101, 221, 112, 232)(102, 222, 113, 233)(103, 223, 114, 234)(104, 224, 115, 235)(105, 225, 116, 236)(106, 226, 117, 237)(107, 227, 118, 238)(109, 229, 119, 239)(110, 230, 120, 240)(241, 242)(243, 245)(244, 248)(246, 251)(247, 253)(249, 255)(250, 258)(252, 260)(254, 263)(256, 267)(257, 269)(259, 271)(261, 275)(262, 277)(264, 280)(265, 282)(266, 284)(268, 286)(270, 289)(272, 293)(273, 295)(274, 297)(276, 299)(278, 302)(279, 305)(281, 307)(283, 310)(285, 313)(287, 300)(288, 318)(290, 321)(291, 323)(292, 324)(294, 326)(296, 328)(298, 330)(301, 314)(303, 316)(304, 312)(306, 335)(308, 317)(309, 338)(311, 339)(315, 342)(319, 344)(320, 345)(322, 346)(325, 347)(327, 336)(329, 337)(331, 349)(332, 341)(333, 350)(334, 343)(340, 351)(348, 358)(352, 356)(353, 357)(354, 359)(355, 360)(361, 363)(362, 365)(364, 369)(366, 372)(367, 374)(368, 375)(370, 379)(371, 380)(373, 383)(376, 388)(377, 390)(378, 391)(381, 396)(382, 398)(384, 401)(385, 403)(386, 405)(387, 406)(389, 409)(392, 414)(393, 416)(394, 418)(395, 419)(397, 422)(399, 426)(400, 427)(402, 430)(404, 433)(407, 437)(408, 439)(410, 442)(411, 432)(412, 445)(413, 446)(415, 448)(417, 450)(420, 428)(421, 452)(423, 454)(424, 443)(425, 455)(429, 440)(431, 435)(434, 461)(436, 463)(438, 464)(441, 466)(444, 467)(447, 453)(449, 451)(456, 470)(457, 469)(458, 465)(459, 462)(460, 468)(471, 478)(472, 475)(473, 474)(476, 480)(477, 479)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2657
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.2649 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^3, (Y3 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, (Y1 * Y3 * Y2)^6 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 8, 128)(5, 125, 12, 132)(7, 127, 15, 135)(9, 129, 19, 139)(10, 130, 21, 141)(11, 131, 22, 142)(13, 133, 26, 146)(14, 134, 28, 148)(16, 136, 32, 152)(17, 137, 34, 154)(18, 138, 36, 156)(20, 140, 38, 158)(23, 143, 43, 163)(24, 144, 45, 165)(25, 145, 47, 167)(27, 147, 49, 169)(29, 149, 52, 172)(30, 150, 54, 174)(31, 151, 56, 176)(33, 153, 58, 178)(35, 155, 60, 180)(37, 157, 64, 184)(39, 159, 68, 188)(40, 160, 67, 187)(41, 161, 63, 183)(42, 162, 72, 192)(44, 164, 73, 193)(46, 166, 62, 182)(48, 168, 75, 195)(50, 170, 78, 198)(51, 171, 80, 200)(53, 173, 81, 201)(55, 175, 65, 185)(57, 177, 84, 204)(59, 179, 86, 206)(61, 181, 88, 208)(66, 186, 91, 211)(69, 189, 94, 214)(70, 190, 95, 215)(71, 191, 76, 196)(74, 194, 100, 220)(77, 197, 103, 223)(79, 199, 83, 203)(82, 202, 108, 228)(85, 205, 110, 230)(87, 207, 112, 232)(89, 209, 113, 233)(90, 210, 114, 234)(92, 212, 115, 235)(93, 213, 97, 217)(96, 216, 111, 231)(98, 218, 109, 229)(99, 219, 117, 237)(101, 221, 106, 226)(102, 222, 118, 238)(104, 224, 105, 225)(107, 227, 119, 239)(116, 236, 120, 240)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 256)(250, 260)(252, 263)(254, 267)(255, 269)(257, 273)(258, 275)(259, 277)(261, 268)(262, 280)(264, 284)(265, 286)(266, 288)(270, 293)(271, 295)(272, 297)(274, 294)(276, 301)(278, 305)(279, 307)(281, 310)(282, 311)(283, 299)(285, 303)(287, 314)(289, 316)(290, 292)(291, 319)(296, 322)(298, 300)(302, 313)(304, 329)(306, 330)(308, 331)(309, 333)(312, 336)(315, 341)(317, 342)(318, 343)(320, 345)(321, 337)(323, 335)(324, 349)(325, 339)(326, 350)(327, 338)(328, 332)(334, 355)(340, 344)(346, 356)(347, 353)(348, 351)(352, 358)(354, 357)(359, 360)(361, 363)(362, 365)(364, 370)(366, 374)(367, 371)(368, 377)(369, 378)(372, 384)(373, 385)(375, 390)(376, 391)(379, 392)(380, 395)(381, 399)(382, 401)(383, 402)(386, 403)(387, 406)(388, 410)(389, 411)(393, 415)(394, 419)(396, 422)(397, 423)(398, 426)(400, 429)(404, 431)(405, 417)(407, 420)(408, 414)(409, 437)(412, 427)(413, 439)(416, 443)(418, 445)(421, 447)(424, 448)(425, 440)(428, 452)(430, 453)(432, 457)(433, 458)(434, 459)(435, 460)(436, 454)(438, 464)(441, 466)(442, 467)(444, 468)(446, 471)(449, 451)(450, 465)(455, 473)(456, 476)(461, 463)(462, 475)(469, 470)(472, 477)(474, 479)(478, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2658
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.2650 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3 * Y2)^5, (Y3 * Y1)^5, (Y3 * Y1 * Y3 * Y2)^3, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 7, 127)(5, 125, 10, 130)(8, 128, 16, 136)(9, 129, 17, 137)(11, 131, 21, 141)(12, 132, 22, 142)(13, 133, 24, 144)(14, 134, 25, 145)(15, 135, 26, 146)(18, 138, 32, 152)(19, 139, 33, 153)(20, 140, 34, 154)(23, 143, 39, 159)(27, 147, 35, 155)(28, 148, 47, 167)(29, 149, 49, 169)(30, 150, 43, 163)(31, 151, 50, 170)(36, 156, 58, 178)(37, 157, 60, 180)(38, 158, 54, 174)(40, 160, 51, 171)(41, 161, 64, 184)(42, 162, 66, 186)(44, 164, 68, 188)(45, 165, 69, 189)(46, 166, 70, 190)(48, 168, 72, 192)(52, 172, 77, 197)(53, 173, 79, 199)(55, 175, 81, 201)(56, 176, 82, 202)(57, 177, 83, 203)(59, 179, 85, 205)(61, 181, 88, 208)(62, 182, 89, 209)(63, 183, 90, 210)(65, 185, 92, 212)(67, 187, 94, 214)(71, 191, 98, 218)(73, 193, 95, 215)(74, 194, 104, 224)(75, 195, 105, 225)(76, 196, 106, 226)(78, 198, 108, 228)(80, 200, 110, 230)(84, 204, 114, 234)(86, 206, 111, 231)(87, 207, 119, 239)(91, 211, 117, 237)(93, 213, 116, 236)(96, 216, 115, 235)(97, 217, 113, 233)(99, 219, 112, 232)(100, 220, 109, 229)(101, 221, 107, 227)(102, 222, 118, 238)(103, 223, 120, 240)(241, 242)(243, 245)(244, 248)(246, 251)(247, 253)(249, 255)(250, 258)(252, 260)(254, 263)(256, 267)(257, 269)(259, 271)(261, 275)(262, 277)(264, 280)(265, 282)(266, 284)(268, 286)(270, 288)(272, 291)(273, 293)(274, 295)(276, 297)(278, 299)(279, 301)(281, 303)(283, 305)(285, 307)(287, 304)(289, 313)(290, 314)(292, 316)(294, 318)(296, 320)(298, 317)(300, 326)(302, 327)(306, 333)(308, 335)(309, 337)(310, 339)(311, 331)(312, 341)(315, 343)(319, 349)(321, 351)(322, 353)(323, 355)(324, 347)(325, 357)(328, 356)(329, 358)(330, 352)(332, 354)(334, 350)(336, 346)(338, 348)(340, 344)(342, 345)(359, 360)(361, 363)(362, 365)(364, 369)(366, 372)(367, 374)(368, 375)(370, 379)(371, 380)(373, 383)(376, 388)(377, 390)(378, 391)(381, 396)(382, 398)(384, 401)(385, 403)(386, 405)(387, 406)(389, 408)(392, 412)(393, 414)(394, 416)(395, 417)(397, 419)(399, 422)(400, 423)(402, 425)(404, 427)(407, 431)(409, 420)(410, 435)(411, 436)(413, 438)(415, 440)(418, 444)(421, 447)(424, 451)(426, 439)(428, 456)(429, 458)(430, 460)(432, 462)(433, 446)(434, 463)(437, 467)(441, 472)(442, 474)(443, 476)(445, 478)(448, 475)(449, 477)(450, 471)(452, 473)(453, 469)(454, 479)(455, 466)(457, 468)(459, 464)(461, 465)(470, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2659
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.2651 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
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, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3^6, Y3^-2 * Y2 * Y3^3 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^2 * Y1 * Y3 * Y1 * Y3 ]
Map:: polytopal
	R = (1, 121, 4, 124, 13, 133, 33, 153, 16, 136, 5, 125)(2, 122, 7, 127, 21, 141, 48, 168, 24, 144, 8, 128)(3, 123, 9, 129, 25, 145, 55, 175, 26, 146, 10, 130)(6, 126, 17, 137, 40, 160, 72, 192, 41, 161, 18, 138)(11, 131, 27, 147, 58, 178, 39, 159, 61, 181, 28, 148)(12, 132, 29, 149, 62, 182, 38, 158, 63, 183, 30, 150)(14, 134, 34, 154, 67, 187, 32, 152, 66, 186, 35, 155)(15, 135, 36, 156, 65, 185, 31, 151, 64, 184, 37, 157)(19, 139, 42, 162, 75, 195, 54, 174, 78, 198, 43, 163)(20, 140, 44, 164, 79, 199, 53, 173, 80, 200, 45, 165)(22, 142, 49, 169, 84, 204, 47, 167, 83, 203, 50, 170)(23, 143, 51, 171, 82, 202, 46, 166, 81, 201, 52, 172)(56, 176, 89, 209, 74, 194, 100, 220, 113, 233, 90, 210)(57, 177, 91, 211, 114, 234, 99, 219, 73, 193, 92, 212)(59, 179, 95, 215, 85, 205, 94, 214, 116, 236, 96, 216)(60, 180, 97, 217, 115, 235, 93, 213, 86, 206, 98, 218)(68, 188, 105, 225, 119, 239, 103, 223, 76, 196, 106, 226)(69, 189, 107, 227, 77, 197, 104, 224, 120, 240, 108, 228)(70, 190, 109, 229, 117, 237, 101, 221, 88, 208, 110, 230)(71, 191, 111, 231, 87, 207, 102, 222, 118, 238, 112, 232)(241, 242)(243, 246)(244, 251)(245, 254)(247, 259)(248, 262)(249, 263)(250, 260)(252, 258)(253, 271)(255, 257)(256, 278)(261, 286)(264, 293)(265, 294)(266, 287)(267, 296)(268, 299)(269, 300)(270, 297)(272, 281)(273, 295)(274, 308)(275, 310)(276, 311)(277, 309)(279, 280)(282, 313)(283, 316)(284, 317)(285, 314)(288, 312)(289, 325)(290, 327)(291, 328)(292, 326)(298, 333)(301, 339)(302, 340)(303, 334)(304, 341)(305, 343)(306, 344)(307, 342)(315, 348)(318, 330)(319, 331)(320, 345)(321, 352)(322, 336)(323, 337)(324, 349)(329, 351)(332, 350)(335, 346)(338, 347)(353, 357)(354, 358)(355, 359)(356, 360)(361, 363)(362, 366)(364, 372)(365, 375)(367, 380)(368, 383)(369, 382)(370, 379)(371, 378)(373, 392)(374, 377)(376, 399)(381, 407)(384, 414)(385, 413)(386, 406)(387, 417)(388, 420)(389, 419)(390, 416)(391, 401)(393, 408)(394, 429)(395, 431)(396, 430)(397, 428)(398, 400)(402, 434)(403, 437)(404, 436)(405, 433)(409, 446)(410, 448)(411, 447)(412, 445)(415, 432)(418, 454)(421, 460)(422, 459)(423, 453)(424, 462)(425, 464)(426, 463)(427, 461)(435, 465)(438, 451)(439, 450)(440, 468)(441, 469)(442, 457)(443, 456)(444, 472)(449, 470)(452, 471)(455, 467)(458, 466)(473, 478)(474, 477)(475, 480)(476, 479)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2654
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2652 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y1 * Y2)^3, Y3^6, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3^-2)^2, Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y3^-2 * Y1 * Y2)^2, Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-2, Y2 * Y3^2 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal
	R = (1, 121, 4, 124, 14, 134, 41, 161, 17, 137, 5, 125)(2, 122, 7, 127, 23, 143, 63, 183, 26, 146, 8, 128)(3, 123, 10, 130, 30, 150, 79, 199, 33, 153, 11, 131)(6, 126, 19, 139, 52, 172, 104, 224, 55, 175, 20, 140)(9, 129, 27, 147, 72, 192, 113, 233, 74, 194, 28, 148)(12, 132, 34, 154, 86, 206, 47, 167, 87, 207, 35, 155)(13, 133, 37, 157, 91, 211, 48, 168, 94, 214, 38, 158)(15, 135, 43, 163, 96, 216, 39, 159, 95, 215, 44, 164)(16, 136, 45, 165, 98, 218, 40, 160, 97, 217, 46, 166)(18, 138, 49, 169, 92, 212, 119, 239, 101, 221, 50, 170)(21, 141, 56, 176, 106, 226, 69, 189, 107, 227, 57, 177)(22, 142, 59, 179, 73, 193, 70, 190, 109, 229, 60, 180)(24, 144, 65, 185, 110, 230, 61, 181, 71, 191, 66, 186)(25, 145, 67, 187, 112, 232, 62, 182, 111, 231, 68, 188)(29, 149, 75, 195, 53, 173, 85, 205, 114, 234, 76, 196)(31, 151, 81, 201, 115, 235, 77, 197, 51, 171, 82, 202)(32, 152, 83, 203, 117, 237, 78, 198, 116, 236, 84, 204)(36, 156, 88, 208, 42, 162, 99, 219, 105, 225, 89, 209)(54, 174, 90, 210, 118, 238, 103, 223, 120, 240, 102, 222)(58, 178, 100, 220, 64, 184, 93, 213, 80, 200, 108, 228)(241, 242)(243, 249)(244, 252)(245, 255)(246, 258)(247, 261)(248, 264)(250, 265)(251, 271)(253, 276)(254, 279)(256, 259)(257, 287)(260, 293)(262, 298)(263, 301)(266, 309)(267, 294)(268, 313)(269, 304)(270, 317)(272, 289)(273, 302)(274, 323)(275, 315)(277, 308)(278, 332)(280, 295)(281, 303)(282, 291)(283, 340)(284, 342)(285, 307)(286, 299)(288, 339)(290, 331)(292, 316)(296, 330)(297, 322)(300, 312)(305, 328)(306, 324)(310, 333)(311, 345)(314, 343)(318, 341)(319, 353)(320, 335)(321, 329)(325, 348)(326, 354)(327, 356)(334, 352)(336, 358)(337, 351)(338, 349)(344, 359)(346, 355)(347, 360)(350, 357)(361, 363)(362, 366)(364, 373)(365, 376)(367, 382)(368, 385)(369, 378)(370, 389)(371, 392)(372, 388)(374, 400)(375, 402)(377, 408)(379, 411)(380, 414)(381, 410)(383, 422)(384, 424)(386, 430)(387, 431)(390, 438)(391, 440)(393, 445)(394, 442)(395, 428)(396, 433)(397, 450)(398, 453)(399, 449)(401, 439)(403, 461)(404, 427)(405, 426)(406, 417)(407, 432)(409, 455)(412, 463)(413, 465)(415, 441)(416, 435)(418, 451)(419, 443)(420, 459)(421, 468)(423, 464)(425, 434)(429, 452)(436, 448)(437, 460)(444, 462)(446, 472)(447, 475)(454, 480)(456, 471)(457, 470)(458, 466)(467, 474)(469, 476)(473, 479)(477, 478)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2655
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2653 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, (Y1 * Y3^-1 * Y2)^2, (Y3^-2 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-2)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 121, 4, 124, 13, 133, 33, 153, 16, 136, 5, 125)(2, 122, 7, 127, 21, 141, 48, 168, 24, 144, 8, 128)(3, 123, 9, 129, 25, 145, 55, 175, 26, 146, 10, 130)(6, 126, 17, 137, 40, 160, 72, 192, 41, 161, 18, 138)(11, 131, 27, 147, 58, 178, 38, 158, 61, 181, 28, 148)(12, 132, 29, 149, 62, 182, 39, 159, 63, 183, 30, 150)(14, 134, 34, 154, 65, 185, 31, 151, 64, 184, 35, 155)(15, 135, 36, 156, 67, 187, 32, 152, 66, 186, 37, 157)(19, 139, 42, 162, 75, 195, 53, 173, 78, 198, 43, 163)(20, 140, 44, 164, 79, 199, 54, 174, 80, 200, 45, 165)(22, 142, 49, 169, 82, 202, 46, 166, 81, 201, 50, 170)(23, 143, 51, 171, 84, 204, 47, 167, 83, 203, 52, 172)(56, 176, 87, 207, 119, 239, 95, 215, 115, 235, 89, 209)(57, 177, 90, 210, 116, 236, 96, 216, 120, 240, 88, 208)(59, 179, 77, 197, 110, 230, 91, 211, 108, 228, 93, 213)(60, 180, 94, 214, 107, 227, 92, 212, 109, 229, 76, 196)(68, 188, 101, 221, 114, 234, 97, 217, 118, 238, 86, 206)(69, 189, 85, 205, 117, 237, 98, 218, 113, 233, 102, 222)(70, 190, 103, 223, 111, 231, 99, 219, 105, 225, 73, 193)(71, 191, 74, 194, 106, 226, 100, 220, 112, 232, 104, 224)(241, 242)(243, 246)(244, 251)(245, 254)(247, 259)(248, 262)(249, 263)(250, 260)(252, 258)(253, 271)(255, 257)(256, 278)(261, 286)(264, 293)(265, 294)(266, 287)(267, 296)(268, 299)(269, 300)(270, 297)(272, 281)(273, 288)(274, 308)(275, 310)(276, 311)(277, 309)(279, 280)(282, 313)(283, 316)(284, 317)(285, 314)(289, 325)(290, 327)(291, 328)(292, 326)(295, 312)(298, 331)(301, 335)(302, 336)(303, 332)(304, 337)(305, 339)(306, 340)(307, 338)(315, 347)(318, 351)(319, 352)(320, 348)(321, 353)(322, 355)(323, 356)(324, 354)(329, 346)(330, 345)(333, 358)(334, 357)(341, 350)(342, 349)(343, 360)(344, 359)(361, 363)(362, 366)(364, 372)(365, 375)(367, 380)(368, 383)(369, 382)(370, 379)(371, 378)(373, 392)(374, 377)(376, 399)(381, 407)(384, 414)(385, 413)(386, 406)(387, 417)(388, 420)(389, 419)(390, 416)(391, 401)(393, 415)(394, 429)(395, 431)(396, 430)(397, 428)(398, 400)(402, 434)(403, 437)(404, 436)(405, 433)(408, 432)(409, 446)(410, 448)(411, 447)(412, 445)(418, 452)(421, 456)(422, 455)(423, 451)(424, 458)(425, 460)(426, 459)(427, 457)(435, 468)(438, 472)(439, 471)(440, 467)(441, 474)(442, 476)(443, 475)(444, 473)(449, 465)(450, 466)(453, 477)(454, 478)(461, 469)(462, 470)(463, 479)(464, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2656
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2654 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2)^6, (Y1 * Y3)^6, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 7, 127, 247, 367)(5, 125, 245, 365, 10, 130, 250, 370)(8, 128, 248, 368, 16, 136, 256, 376)(9, 129, 249, 369, 17, 137, 257, 377)(11, 131, 251, 371, 21, 141, 261, 381)(12, 132, 252, 372, 22, 142, 262, 382)(13, 133, 253, 373, 24, 144, 264, 384)(14, 134, 254, 374, 25, 145, 265, 385)(15, 135, 255, 375, 26, 146, 266, 386)(18, 138, 258, 378, 32, 152, 272, 392)(19, 139, 259, 379, 33, 153, 273, 393)(20, 140, 260, 380, 34, 154, 274, 394)(23, 143, 263, 383, 39, 159, 279, 399)(27, 147, 267, 387, 47, 167, 287, 407)(28, 148, 268, 388, 48, 168, 288, 408)(29, 149, 269, 389, 50, 170, 290, 410)(30, 150, 270, 390, 51, 171, 291, 411)(31, 151, 271, 391, 52, 172, 292, 412)(35, 155, 275, 395, 60, 180, 300, 420)(36, 156, 276, 396, 61, 181, 301, 421)(37, 157, 277, 397, 63, 183, 303, 423)(38, 158, 278, 398, 64, 184, 304, 424)(40, 160, 280, 400, 68, 188, 308, 428)(41, 161, 281, 401, 69, 189, 309, 429)(42, 162, 282, 402, 71, 191, 311, 431)(43, 163, 283, 403, 72, 192, 312, 432)(44, 164, 284, 404, 74, 194, 314, 434)(45, 165, 285, 405, 75, 195, 315, 435)(46, 166, 286, 406, 76, 196, 316, 436)(49, 169, 289, 409, 80, 200, 320, 440)(53, 173, 293, 413, 77, 197, 317, 437)(54, 174, 294, 414, 87, 207, 327, 447)(55, 175, 295, 415, 89, 209, 329, 449)(56, 176, 296, 416, 83, 203, 323, 443)(57, 177, 297, 417, 78, 198, 318, 438)(58, 178, 298, 418, 91, 211, 331, 451)(59, 179, 299, 419, 81, 201, 321, 441)(62, 182, 302, 422, 93, 213, 333, 453)(65, 185, 305, 425, 96, 216, 336, 456)(66, 186, 306, 426, 82, 202, 322, 442)(67, 187, 307, 427, 97, 217, 337, 457)(70, 190, 310, 430, 79, 199, 319, 439)(73, 193, 313, 433, 100, 220, 340, 460)(84, 204, 324, 444, 98, 218, 338, 458)(85, 205, 325, 445, 94, 214, 334, 454)(86, 206, 326, 446, 99, 219, 339, 459)(88, 208, 328, 448, 92, 212, 332, 452)(90, 210, 330, 450, 108, 228, 348, 468)(95, 215, 335, 455, 111, 231, 351, 471)(101, 221, 341, 461, 112, 232, 352, 472)(102, 222, 342, 462, 113, 233, 353, 473)(103, 223, 343, 463, 114, 234, 354, 474)(104, 224, 344, 464, 115, 235, 355, 475)(105, 225, 345, 465, 116, 236, 356, 476)(106, 226, 346, 466, 117, 237, 357, 477)(107, 227, 347, 467, 118, 238, 358, 478)(109, 229, 349, 469, 119, 239, 359, 479)(110, 230, 350, 470, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 125)(4, 128)(5, 123)(6, 131)(7, 133)(8, 124)(9, 135)(10, 138)(11, 126)(12, 140)(13, 127)(14, 143)(15, 129)(16, 147)(17, 149)(18, 130)(19, 151)(20, 132)(21, 155)(22, 157)(23, 134)(24, 160)(25, 162)(26, 164)(27, 136)(28, 166)(29, 137)(30, 169)(31, 139)(32, 173)(33, 175)(34, 177)(35, 141)(36, 179)(37, 142)(38, 182)(39, 185)(40, 144)(41, 187)(42, 145)(43, 190)(44, 146)(45, 193)(46, 148)(47, 180)(48, 198)(49, 150)(50, 201)(51, 203)(52, 204)(53, 152)(54, 206)(55, 153)(56, 208)(57, 154)(58, 210)(59, 156)(60, 167)(61, 194)(62, 158)(63, 196)(64, 192)(65, 159)(66, 215)(67, 161)(68, 197)(69, 218)(70, 163)(71, 219)(72, 184)(73, 165)(74, 181)(75, 222)(76, 183)(77, 188)(78, 168)(79, 224)(80, 225)(81, 170)(82, 226)(83, 171)(84, 172)(85, 227)(86, 174)(87, 216)(88, 176)(89, 217)(90, 178)(91, 229)(92, 221)(93, 230)(94, 223)(95, 186)(96, 207)(97, 209)(98, 189)(99, 191)(100, 231)(101, 212)(102, 195)(103, 214)(104, 199)(105, 200)(106, 202)(107, 205)(108, 238)(109, 211)(110, 213)(111, 220)(112, 236)(113, 237)(114, 239)(115, 240)(116, 232)(117, 233)(118, 228)(119, 234)(120, 235)(241, 363)(242, 365)(243, 361)(244, 369)(245, 362)(246, 372)(247, 374)(248, 375)(249, 364)(250, 379)(251, 380)(252, 366)(253, 383)(254, 367)(255, 368)(256, 388)(257, 390)(258, 391)(259, 370)(260, 371)(261, 396)(262, 398)(263, 373)(264, 401)(265, 403)(266, 405)(267, 406)(268, 376)(269, 409)(270, 377)(271, 378)(272, 414)(273, 416)(274, 418)(275, 419)(276, 381)(277, 422)(278, 382)(279, 426)(280, 427)(281, 384)(282, 430)(283, 385)(284, 433)(285, 386)(286, 387)(287, 437)(288, 439)(289, 389)(290, 442)(291, 432)(292, 445)(293, 446)(294, 392)(295, 448)(296, 393)(297, 450)(298, 394)(299, 395)(300, 428)(301, 452)(302, 397)(303, 454)(304, 443)(305, 455)(306, 399)(307, 400)(308, 420)(309, 440)(310, 402)(311, 435)(312, 411)(313, 404)(314, 461)(315, 431)(316, 463)(317, 407)(318, 464)(319, 408)(320, 429)(321, 466)(322, 410)(323, 424)(324, 467)(325, 412)(326, 413)(327, 453)(328, 415)(329, 451)(330, 417)(331, 449)(332, 421)(333, 447)(334, 423)(335, 425)(336, 470)(337, 469)(338, 465)(339, 462)(340, 468)(341, 434)(342, 459)(343, 436)(344, 438)(345, 458)(346, 441)(347, 444)(348, 460)(349, 457)(350, 456)(351, 478)(352, 475)(353, 474)(354, 473)(355, 472)(356, 480)(357, 479)(358, 471)(359, 477)(360, 476)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2651
Transitivity :: VT+
Graph::
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2655 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^3, (Y3 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2, (Y1 * Y3 * Y2)^6 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 8, 128, 248, 368)(5, 125, 245, 365, 12, 132, 252, 372)(7, 127, 247, 367, 15, 135, 255, 375)(9, 129, 249, 369, 19, 139, 259, 379)(10, 130, 250, 370, 21, 141, 261, 381)(11, 131, 251, 371, 22, 142, 262, 382)(13, 133, 253, 373, 26, 146, 266, 386)(14, 134, 254, 374, 28, 148, 268, 388)(16, 136, 256, 376, 32, 152, 272, 392)(17, 137, 257, 377, 34, 154, 274, 394)(18, 138, 258, 378, 36, 156, 276, 396)(20, 140, 260, 380, 38, 158, 278, 398)(23, 143, 263, 383, 43, 163, 283, 403)(24, 144, 264, 384, 45, 165, 285, 405)(25, 145, 265, 385, 47, 167, 287, 407)(27, 147, 267, 387, 49, 169, 289, 409)(29, 149, 269, 389, 52, 172, 292, 412)(30, 150, 270, 390, 54, 174, 294, 414)(31, 151, 271, 391, 56, 176, 296, 416)(33, 153, 273, 393, 58, 178, 298, 418)(35, 155, 275, 395, 60, 180, 300, 420)(37, 157, 277, 397, 64, 184, 304, 424)(39, 159, 279, 399, 68, 188, 308, 428)(40, 160, 280, 400, 67, 187, 307, 427)(41, 161, 281, 401, 63, 183, 303, 423)(42, 162, 282, 402, 72, 192, 312, 432)(44, 164, 284, 404, 73, 193, 313, 433)(46, 166, 286, 406, 62, 182, 302, 422)(48, 168, 288, 408, 75, 195, 315, 435)(50, 170, 290, 410, 78, 198, 318, 438)(51, 171, 291, 411, 80, 200, 320, 440)(53, 173, 293, 413, 81, 201, 321, 441)(55, 175, 295, 415, 65, 185, 305, 425)(57, 177, 297, 417, 84, 204, 324, 444)(59, 179, 299, 419, 86, 206, 326, 446)(61, 181, 301, 421, 88, 208, 328, 448)(66, 186, 306, 426, 91, 211, 331, 451)(69, 189, 309, 429, 94, 214, 334, 454)(70, 190, 310, 430, 95, 215, 335, 455)(71, 191, 311, 431, 76, 196, 316, 436)(74, 194, 314, 434, 100, 220, 340, 460)(77, 197, 317, 437, 103, 223, 343, 463)(79, 199, 319, 439, 83, 203, 323, 443)(82, 202, 322, 442, 108, 228, 348, 468)(85, 205, 325, 445, 110, 230, 350, 470)(87, 207, 327, 447, 112, 232, 352, 472)(89, 209, 329, 449, 113, 233, 353, 473)(90, 210, 330, 450, 114, 234, 354, 474)(92, 212, 332, 452, 115, 235, 355, 475)(93, 213, 333, 453, 97, 217, 337, 457)(96, 216, 336, 456, 111, 231, 351, 471)(98, 218, 338, 458, 109, 229, 349, 469)(99, 219, 339, 459, 117, 237, 357, 477)(101, 221, 341, 461, 106, 226, 346, 466)(102, 222, 342, 462, 118, 238, 358, 478)(104, 224, 344, 464, 105, 225, 345, 465)(107, 227, 347, 467, 119, 239, 359, 479)(116, 236, 356, 476, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 136)(9, 124)(10, 140)(11, 125)(12, 143)(13, 126)(14, 147)(15, 149)(16, 128)(17, 153)(18, 155)(19, 157)(20, 130)(21, 148)(22, 160)(23, 132)(24, 164)(25, 166)(26, 168)(27, 134)(28, 141)(29, 135)(30, 173)(31, 175)(32, 177)(33, 137)(34, 174)(35, 138)(36, 181)(37, 139)(38, 185)(39, 187)(40, 142)(41, 190)(42, 191)(43, 179)(44, 144)(45, 183)(46, 145)(47, 194)(48, 146)(49, 196)(50, 172)(51, 199)(52, 170)(53, 150)(54, 154)(55, 151)(56, 202)(57, 152)(58, 180)(59, 163)(60, 178)(61, 156)(62, 193)(63, 165)(64, 209)(65, 158)(66, 210)(67, 159)(68, 211)(69, 213)(70, 161)(71, 162)(72, 216)(73, 182)(74, 167)(75, 221)(76, 169)(77, 222)(78, 223)(79, 171)(80, 225)(81, 217)(82, 176)(83, 215)(84, 229)(85, 219)(86, 230)(87, 218)(88, 212)(89, 184)(90, 186)(91, 188)(92, 208)(93, 189)(94, 235)(95, 203)(96, 192)(97, 201)(98, 207)(99, 205)(100, 224)(101, 195)(102, 197)(103, 198)(104, 220)(105, 200)(106, 236)(107, 233)(108, 231)(109, 204)(110, 206)(111, 228)(112, 238)(113, 227)(114, 237)(115, 214)(116, 226)(117, 234)(118, 232)(119, 240)(120, 239)(241, 363)(242, 365)(243, 361)(244, 370)(245, 362)(246, 374)(247, 371)(248, 377)(249, 378)(250, 364)(251, 367)(252, 384)(253, 385)(254, 366)(255, 390)(256, 391)(257, 368)(258, 369)(259, 392)(260, 395)(261, 399)(262, 401)(263, 402)(264, 372)(265, 373)(266, 403)(267, 406)(268, 410)(269, 411)(270, 375)(271, 376)(272, 379)(273, 415)(274, 419)(275, 380)(276, 422)(277, 423)(278, 426)(279, 381)(280, 429)(281, 382)(282, 383)(283, 386)(284, 431)(285, 417)(286, 387)(287, 420)(288, 414)(289, 437)(290, 388)(291, 389)(292, 427)(293, 439)(294, 408)(295, 393)(296, 443)(297, 405)(298, 445)(299, 394)(300, 407)(301, 447)(302, 396)(303, 397)(304, 448)(305, 440)(306, 398)(307, 412)(308, 452)(309, 400)(310, 453)(311, 404)(312, 457)(313, 458)(314, 459)(315, 460)(316, 454)(317, 409)(318, 464)(319, 413)(320, 425)(321, 466)(322, 467)(323, 416)(324, 468)(325, 418)(326, 471)(327, 421)(328, 424)(329, 451)(330, 465)(331, 449)(332, 428)(333, 430)(334, 436)(335, 473)(336, 476)(337, 432)(338, 433)(339, 434)(340, 435)(341, 463)(342, 475)(343, 461)(344, 438)(345, 450)(346, 441)(347, 442)(348, 444)(349, 470)(350, 469)(351, 446)(352, 477)(353, 455)(354, 479)(355, 462)(356, 456)(357, 472)(358, 480)(359, 474)(360, 478)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2652
Transitivity :: VT+
Graph::
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2656 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3 * Y2)^5, (Y3 * Y1)^5, (Y3 * Y1 * Y3 * Y2)^3, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 7, 127, 247, 367)(5, 125, 245, 365, 10, 130, 250, 370)(8, 128, 248, 368, 16, 136, 256, 376)(9, 129, 249, 369, 17, 137, 257, 377)(11, 131, 251, 371, 21, 141, 261, 381)(12, 132, 252, 372, 22, 142, 262, 382)(13, 133, 253, 373, 24, 144, 264, 384)(14, 134, 254, 374, 25, 145, 265, 385)(15, 135, 255, 375, 26, 146, 266, 386)(18, 138, 258, 378, 32, 152, 272, 392)(19, 139, 259, 379, 33, 153, 273, 393)(20, 140, 260, 380, 34, 154, 274, 394)(23, 143, 263, 383, 39, 159, 279, 399)(27, 147, 267, 387, 35, 155, 275, 395)(28, 148, 268, 388, 47, 167, 287, 407)(29, 149, 269, 389, 49, 169, 289, 409)(30, 150, 270, 390, 43, 163, 283, 403)(31, 151, 271, 391, 50, 170, 290, 410)(36, 156, 276, 396, 58, 178, 298, 418)(37, 157, 277, 397, 60, 180, 300, 420)(38, 158, 278, 398, 54, 174, 294, 414)(40, 160, 280, 400, 51, 171, 291, 411)(41, 161, 281, 401, 64, 184, 304, 424)(42, 162, 282, 402, 66, 186, 306, 426)(44, 164, 284, 404, 68, 188, 308, 428)(45, 165, 285, 405, 69, 189, 309, 429)(46, 166, 286, 406, 70, 190, 310, 430)(48, 168, 288, 408, 72, 192, 312, 432)(52, 172, 292, 412, 77, 197, 317, 437)(53, 173, 293, 413, 79, 199, 319, 439)(55, 175, 295, 415, 81, 201, 321, 441)(56, 176, 296, 416, 82, 202, 322, 442)(57, 177, 297, 417, 83, 203, 323, 443)(59, 179, 299, 419, 85, 205, 325, 445)(61, 181, 301, 421, 88, 208, 328, 448)(62, 182, 302, 422, 89, 209, 329, 449)(63, 183, 303, 423, 90, 210, 330, 450)(65, 185, 305, 425, 92, 212, 332, 452)(67, 187, 307, 427, 94, 214, 334, 454)(71, 191, 311, 431, 98, 218, 338, 458)(73, 193, 313, 433, 95, 215, 335, 455)(74, 194, 314, 434, 104, 224, 344, 464)(75, 195, 315, 435, 105, 225, 345, 465)(76, 196, 316, 436, 106, 226, 346, 466)(78, 198, 318, 438, 108, 228, 348, 468)(80, 200, 320, 440, 110, 230, 350, 470)(84, 204, 324, 444, 114, 234, 354, 474)(86, 206, 326, 446, 111, 231, 351, 471)(87, 207, 327, 447, 119, 239, 359, 479)(91, 211, 331, 451, 117, 237, 357, 477)(93, 213, 333, 453, 116, 236, 356, 476)(96, 216, 336, 456, 115, 235, 355, 475)(97, 217, 337, 457, 113, 233, 353, 473)(99, 219, 339, 459, 112, 232, 352, 472)(100, 220, 340, 460, 109, 229, 349, 469)(101, 221, 341, 461, 107, 227, 347, 467)(102, 222, 342, 462, 118, 238, 358, 478)(103, 223, 343, 463, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 125)(4, 128)(5, 123)(6, 131)(7, 133)(8, 124)(9, 135)(10, 138)(11, 126)(12, 140)(13, 127)(14, 143)(15, 129)(16, 147)(17, 149)(18, 130)(19, 151)(20, 132)(21, 155)(22, 157)(23, 134)(24, 160)(25, 162)(26, 164)(27, 136)(28, 166)(29, 137)(30, 168)(31, 139)(32, 171)(33, 173)(34, 175)(35, 141)(36, 177)(37, 142)(38, 179)(39, 181)(40, 144)(41, 183)(42, 145)(43, 185)(44, 146)(45, 187)(46, 148)(47, 184)(48, 150)(49, 193)(50, 194)(51, 152)(52, 196)(53, 153)(54, 198)(55, 154)(56, 200)(57, 156)(58, 197)(59, 158)(60, 206)(61, 159)(62, 207)(63, 161)(64, 167)(65, 163)(66, 213)(67, 165)(68, 215)(69, 217)(70, 219)(71, 211)(72, 221)(73, 169)(74, 170)(75, 223)(76, 172)(77, 178)(78, 174)(79, 229)(80, 176)(81, 231)(82, 233)(83, 235)(84, 227)(85, 237)(86, 180)(87, 182)(88, 236)(89, 238)(90, 232)(91, 191)(92, 234)(93, 186)(94, 230)(95, 188)(96, 226)(97, 189)(98, 228)(99, 190)(100, 224)(101, 192)(102, 225)(103, 195)(104, 220)(105, 222)(106, 216)(107, 204)(108, 218)(109, 199)(110, 214)(111, 201)(112, 210)(113, 202)(114, 212)(115, 203)(116, 208)(117, 205)(118, 209)(119, 240)(120, 239)(241, 363)(242, 365)(243, 361)(244, 369)(245, 362)(246, 372)(247, 374)(248, 375)(249, 364)(250, 379)(251, 380)(252, 366)(253, 383)(254, 367)(255, 368)(256, 388)(257, 390)(258, 391)(259, 370)(260, 371)(261, 396)(262, 398)(263, 373)(264, 401)(265, 403)(266, 405)(267, 406)(268, 376)(269, 408)(270, 377)(271, 378)(272, 412)(273, 414)(274, 416)(275, 417)(276, 381)(277, 419)(278, 382)(279, 422)(280, 423)(281, 384)(282, 425)(283, 385)(284, 427)(285, 386)(286, 387)(287, 431)(288, 389)(289, 420)(290, 435)(291, 436)(292, 392)(293, 438)(294, 393)(295, 440)(296, 394)(297, 395)(298, 444)(299, 397)(300, 409)(301, 447)(302, 399)(303, 400)(304, 451)(305, 402)(306, 439)(307, 404)(308, 456)(309, 458)(310, 460)(311, 407)(312, 462)(313, 446)(314, 463)(315, 410)(316, 411)(317, 467)(318, 413)(319, 426)(320, 415)(321, 472)(322, 474)(323, 476)(324, 418)(325, 478)(326, 433)(327, 421)(328, 475)(329, 477)(330, 471)(331, 424)(332, 473)(333, 469)(334, 479)(335, 466)(336, 428)(337, 468)(338, 429)(339, 464)(340, 430)(341, 465)(342, 432)(343, 434)(344, 459)(345, 461)(346, 455)(347, 437)(348, 457)(349, 453)(350, 480)(351, 450)(352, 441)(353, 452)(354, 442)(355, 448)(356, 443)(357, 449)(358, 445)(359, 454)(360, 470)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2653
Transitivity :: VT+
Graph::
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2657 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
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, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y3^6, Y3^-2 * Y2 * Y3^3 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^2 * Y1 * Y3 * Y1 * Y3 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 13, 133, 253, 373, 33, 153, 273, 393, 16, 136, 256, 376, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 21, 141, 261, 381, 48, 168, 288, 408, 24, 144, 264, 384, 8, 128, 248, 368)(3, 123, 243, 363, 9, 129, 249, 369, 25, 145, 265, 385, 55, 175, 295, 415, 26, 146, 266, 386, 10, 130, 250, 370)(6, 126, 246, 366, 17, 137, 257, 377, 40, 160, 280, 400, 72, 192, 312, 432, 41, 161, 281, 401, 18, 138, 258, 378)(11, 131, 251, 371, 27, 147, 267, 387, 58, 178, 298, 418, 39, 159, 279, 399, 61, 181, 301, 421, 28, 148, 268, 388)(12, 132, 252, 372, 29, 149, 269, 389, 62, 182, 302, 422, 38, 158, 278, 398, 63, 183, 303, 423, 30, 150, 270, 390)(14, 134, 254, 374, 34, 154, 274, 394, 67, 187, 307, 427, 32, 152, 272, 392, 66, 186, 306, 426, 35, 155, 275, 395)(15, 135, 255, 375, 36, 156, 276, 396, 65, 185, 305, 425, 31, 151, 271, 391, 64, 184, 304, 424, 37, 157, 277, 397)(19, 139, 259, 379, 42, 162, 282, 402, 75, 195, 315, 435, 54, 174, 294, 414, 78, 198, 318, 438, 43, 163, 283, 403)(20, 140, 260, 380, 44, 164, 284, 404, 79, 199, 319, 439, 53, 173, 293, 413, 80, 200, 320, 440, 45, 165, 285, 405)(22, 142, 262, 382, 49, 169, 289, 409, 84, 204, 324, 444, 47, 167, 287, 407, 83, 203, 323, 443, 50, 170, 290, 410)(23, 143, 263, 383, 51, 171, 291, 411, 82, 202, 322, 442, 46, 166, 286, 406, 81, 201, 321, 441, 52, 172, 292, 412)(56, 176, 296, 416, 89, 209, 329, 449, 74, 194, 314, 434, 100, 220, 340, 460, 113, 233, 353, 473, 90, 210, 330, 450)(57, 177, 297, 417, 91, 211, 331, 451, 114, 234, 354, 474, 99, 219, 339, 459, 73, 193, 313, 433, 92, 212, 332, 452)(59, 179, 299, 419, 95, 215, 335, 455, 85, 205, 325, 445, 94, 214, 334, 454, 116, 236, 356, 476, 96, 216, 336, 456)(60, 180, 300, 420, 97, 217, 337, 457, 115, 235, 355, 475, 93, 213, 333, 453, 86, 206, 326, 446, 98, 218, 338, 458)(68, 188, 308, 428, 105, 225, 345, 465, 119, 239, 359, 479, 103, 223, 343, 463, 76, 196, 316, 436, 106, 226, 346, 466)(69, 189, 309, 429, 107, 227, 347, 467, 77, 197, 317, 437, 104, 224, 344, 464, 120, 240, 360, 480, 108, 228, 348, 468)(70, 190, 310, 430, 109, 229, 349, 469, 117, 237, 357, 477, 101, 221, 341, 461, 88, 208, 328, 448, 110, 230, 350, 470)(71, 191, 311, 431, 111, 231, 351, 471, 87, 207, 327, 447, 102, 222, 342, 462, 118, 238, 358, 478, 112, 232, 352, 472)
	L = (1, 122)(2, 121)(3, 126)(4, 131)(5, 134)(6, 123)(7, 139)(8, 142)(9, 143)(10, 140)(11, 124)(12, 138)(13, 151)(14, 125)(15, 137)(16, 158)(17, 135)(18, 132)(19, 127)(20, 130)(21, 166)(22, 128)(23, 129)(24, 173)(25, 174)(26, 167)(27, 176)(28, 179)(29, 180)(30, 177)(31, 133)(32, 161)(33, 175)(34, 188)(35, 190)(36, 191)(37, 189)(38, 136)(39, 160)(40, 159)(41, 152)(42, 193)(43, 196)(44, 197)(45, 194)(46, 141)(47, 146)(48, 192)(49, 205)(50, 207)(51, 208)(52, 206)(53, 144)(54, 145)(55, 153)(56, 147)(57, 150)(58, 213)(59, 148)(60, 149)(61, 219)(62, 220)(63, 214)(64, 221)(65, 223)(66, 224)(67, 222)(68, 154)(69, 157)(70, 155)(71, 156)(72, 168)(73, 162)(74, 165)(75, 228)(76, 163)(77, 164)(78, 210)(79, 211)(80, 225)(81, 232)(82, 216)(83, 217)(84, 229)(85, 169)(86, 172)(87, 170)(88, 171)(89, 231)(90, 198)(91, 199)(92, 230)(93, 178)(94, 183)(95, 226)(96, 202)(97, 203)(98, 227)(99, 181)(100, 182)(101, 184)(102, 187)(103, 185)(104, 186)(105, 200)(106, 215)(107, 218)(108, 195)(109, 204)(110, 212)(111, 209)(112, 201)(113, 237)(114, 238)(115, 239)(116, 240)(117, 233)(118, 234)(119, 235)(120, 236)(241, 363)(242, 366)(243, 361)(244, 372)(245, 375)(246, 362)(247, 380)(248, 383)(249, 382)(250, 379)(251, 378)(252, 364)(253, 392)(254, 377)(255, 365)(256, 399)(257, 374)(258, 371)(259, 370)(260, 367)(261, 407)(262, 369)(263, 368)(264, 414)(265, 413)(266, 406)(267, 417)(268, 420)(269, 419)(270, 416)(271, 401)(272, 373)(273, 408)(274, 429)(275, 431)(276, 430)(277, 428)(278, 400)(279, 376)(280, 398)(281, 391)(282, 434)(283, 437)(284, 436)(285, 433)(286, 386)(287, 381)(288, 393)(289, 446)(290, 448)(291, 447)(292, 445)(293, 385)(294, 384)(295, 432)(296, 390)(297, 387)(298, 454)(299, 389)(300, 388)(301, 460)(302, 459)(303, 453)(304, 462)(305, 464)(306, 463)(307, 461)(308, 397)(309, 394)(310, 396)(311, 395)(312, 415)(313, 405)(314, 402)(315, 465)(316, 404)(317, 403)(318, 451)(319, 450)(320, 468)(321, 469)(322, 457)(323, 456)(324, 472)(325, 412)(326, 409)(327, 411)(328, 410)(329, 470)(330, 439)(331, 438)(332, 471)(333, 423)(334, 418)(335, 467)(336, 443)(337, 442)(338, 466)(339, 422)(340, 421)(341, 427)(342, 424)(343, 426)(344, 425)(345, 435)(346, 458)(347, 455)(348, 440)(349, 441)(350, 449)(351, 452)(352, 444)(353, 478)(354, 477)(355, 480)(356, 479)(357, 474)(358, 473)(359, 476)(360, 475)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2648
Transitivity :: VT+
Graph::
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.2658 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y1 * Y2)^3, Y3^6, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3^-2)^2, Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, (Y3^-2 * Y1 * Y2)^2, Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-2, Y2 * Y3^2 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y3 * Y2 * Y3^-1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 14, 134, 254, 374, 41, 161, 281, 401, 17, 137, 257, 377, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 23, 143, 263, 383, 63, 183, 303, 423, 26, 146, 266, 386, 8, 128, 248, 368)(3, 123, 243, 363, 10, 130, 250, 370, 30, 150, 270, 390, 79, 199, 319, 439, 33, 153, 273, 393, 11, 131, 251, 371)(6, 126, 246, 366, 19, 139, 259, 379, 52, 172, 292, 412, 104, 224, 344, 464, 55, 175, 295, 415, 20, 140, 260, 380)(9, 129, 249, 369, 27, 147, 267, 387, 72, 192, 312, 432, 113, 233, 353, 473, 74, 194, 314, 434, 28, 148, 268, 388)(12, 132, 252, 372, 34, 154, 274, 394, 86, 206, 326, 446, 47, 167, 287, 407, 87, 207, 327, 447, 35, 155, 275, 395)(13, 133, 253, 373, 37, 157, 277, 397, 91, 211, 331, 451, 48, 168, 288, 408, 94, 214, 334, 454, 38, 158, 278, 398)(15, 135, 255, 375, 43, 163, 283, 403, 96, 216, 336, 456, 39, 159, 279, 399, 95, 215, 335, 455, 44, 164, 284, 404)(16, 136, 256, 376, 45, 165, 285, 405, 98, 218, 338, 458, 40, 160, 280, 400, 97, 217, 337, 457, 46, 166, 286, 406)(18, 138, 258, 378, 49, 169, 289, 409, 92, 212, 332, 452, 119, 239, 359, 479, 101, 221, 341, 461, 50, 170, 290, 410)(21, 141, 261, 381, 56, 176, 296, 416, 106, 226, 346, 466, 69, 189, 309, 429, 107, 227, 347, 467, 57, 177, 297, 417)(22, 142, 262, 382, 59, 179, 299, 419, 73, 193, 313, 433, 70, 190, 310, 430, 109, 229, 349, 469, 60, 180, 300, 420)(24, 144, 264, 384, 65, 185, 305, 425, 110, 230, 350, 470, 61, 181, 301, 421, 71, 191, 311, 431, 66, 186, 306, 426)(25, 145, 265, 385, 67, 187, 307, 427, 112, 232, 352, 472, 62, 182, 302, 422, 111, 231, 351, 471, 68, 188, 308, 428)(29, 149, 269, 389, 75, 195, 315, 435, 53, 173, 293, 413, 85, 205, 325, 445, 114, 234, 354, 474, 76, 196, 316, 436)(31, 151, 271, 391, 81, 201, 321, 441, 115, 235, 355, 475, 77, 197, 317, 437, 51, 171, 291, 411, 82, 202, 322, 442)(32, 152, 272, 392, 83, 203, 323, 443, 117, 237, 357, 477, 78, 198, 318, 438, 116, 236, 356, 476, 84, 204, 324, 444)(36, 156, 276, 396, 88, 208, 328, 448, 42, 162, 282, 402, 99, 219, 339, 459, 105, 225, 345, 465, 89, 209, 329, 449)(54, 174, 294, 414, 90, 210, 330, 450, 118, 238, 358, 478, 103, 223, 343, 463, 120, 240, 360, 480, 102, 222, 342, 462)(58, 178, 298, 418, 100, 220, 340, 460, 64, 184, 304, 424, 93, 213, 333, 453, 80, 200, 320, 440, 108, 228, 348, 468)
	L = (1, 122)(2, 121)(3, 129)(4, 132)(5, 135)(6, 138)(7, 141)(8, 144)(9, 123)(10, 145)(11, 151)(12, 124)(13, 156)(14, 159)(15, 125)(16, 139)(17, 167)(18, 126)(19, 136)(20, 173)(21, 127)(22, 178)(23, 181)(24, 128)(25, 130)(26, 189)(27, 174)(28, 193)(29, 184)(30, 197)(31, 131)(32, 169)(33, 182)(34, 203)(35, 195)(36, 133)(37, 188)(38, 212)(39, 134)(40, 175)(41, 183)(42, 171)(43, 220)(44, 222)(45, 187)(46, 179)(47, 137)(48, 219)(49, 152)(50, 211)(51, 162)(52, 196)(53, 140)(54, 147)(55, 160)(56, 210)(57, 202)(58, 142)(59, 166)(60, 192)(61, 143)(62, 153)(63, 161)(64, 149)(65, 208)(66, 204)(67, 165)(68, 157)(69, 146)(70, 213)(71, 225)(72, 180)(73, 148)(74, 223)(75, 155)(76, 172)(77, 150)(78, 221)(79, 233)(80, 215)(81, 209)(82, 177)(83, 154)(84, 186)(85, 228)(86, 234)(87, 236)(88, 185)(89, 201)(90, 176)(91, 170)(92, 158)(93, 190)(94, 232)(95, 200)(96, 238)(97, 231)(98, 229)(99, 168)(100, 163)(101, 198)(102, 164)(103, 194)(104, 239)(105, 191)(106, 235)(107, 240)(108, 205)(109, 218)(110, 237)(111, 217)(112, 214)(113, 199)(114, 206)(115, 226)(116, 207)(117, 230)(118, 216)(119, 224)(120, 227)(241, 363)(242, 366)(243, 361)(244, 373)(245, 376)(246, 362)(247, 382)(248, 385)(249, 378)(250, 389)(251, 392)(252, 388)(253, 364)(254, 400)(255, 402)(256, 365)(257, 408)(258, 369)(259, 411)(260, 414)(261, 410)(262, 367)(263, 422)(264, 424)(265, 368)(266, 430)(267, 431)(268, 372)(269, 370)(270, 438)(271, 440)(272, 371)(273, 445)(274, 442)(275, 428)(276, 433)(277, 450)(278, 453)(279, 449)(280, 374)(281, 439)(282, 375)(283, 461)(284, 427)(285, 426)(286, 417)(287, 432)(288, 377)(289, 455)(290, 381)(291, 379)(292, 463)(293, 465)(294, 380)(295, 441)(296, 435)(297, 406)(298, 451)(299, 443)(300, 459)(301, 468)(302, 383)(303, 464)(304, 384)(305, 434)(306, 405)(307, 404)(308, 395)(309, 452)(310, 386)(311, 387)(312, 407)(313, 396)(314, 425)(315, 416)(316, 448)(317, 460)(318, 390)(319, 401)(320, 391)(321, 415)(322, 394)(323, 419)(324, 462)(325, 393)(326, 472)(327, 475)(328, 436)(329, 399)(330, 397)(331, 418)(332, 429)(333, 398)(334, 480)(335, 409)(336, 471)(337, 470)(338, 466)(339, 420)(340, 437)(341, 403)(342, 444)(343, 412)(344, 423)(345, 413)(346, 458)(347, 474)(348, 421)(349, 476)(350, 457)(351, 456)(352, 446)(353, 479)(354, 467)(355, 447)(356, 469)(357, 478)(358, 477)(359, 473)(360, 454)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2649
Transitivity :: VT+
Graph::
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.2659 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, (Y1 * Y3^-1 * Y2)^2, (Y3^-2 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-2)^2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 13, 133, 253, 373, 33, 153, 273, 393, 16, 136, 256, 376, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 21, 141, 261, 381, 48, 168, 288, 408, 24, 144, 264, 384, 8, 128, 248, 368)(3, 123, 243, 363, 9, 129, 249, 369, 25, 145, 265, 385, 55, 175, 295, 415, 26, 146, 266, 386, 10, 130, 250, 370)(6, 126, 246, 366, 17, 137, 257, 377, 40, 160, 280, 400, 72, 192, 312, 432, 41, 161, 281, 401, 18, 138, 258, 378)(11, 131, 251, 371, 27, 147, 267, 387, 58, 178, 298, 418, 38, 158, 278, 398, 61, 181, 301, 421, 28, 148, 268, 388)(12, 132, 252, 372, 29, 149, 269, 389, 62, 182, 302, 422, 39, 159, 279, 399, 63, 183, 303, 423, 30, 150, 270, 390)(14, 134, 254, 374, 34, 154, 274, 394, 65, 185, 305, 425, 31, 151, 271, 391, 64, 184, 304, 424, 35, 155, 275, 395)(15, 135, 255, 375, 36, 156, 276, 396, 67, 187, 307, 427, 32, 152, 272, 392, 66, 186, 306, 426, 37, 157, 277, 397)(19, 139, 259, 379, 42, 162, 282, 402, 75, 195, 315, 435, 53, 173, 293, 413, 78, 198, 318, 438, 43, 163, 283, 403)(20, 140, 260, 380, 44, 164, 284, 404, 79, 199, 319, 439, 54, 174, 294, 414, 80, 200, 320, 440, 45, 165, 285, 405)(22, 142, 262, 382, 49, 169, 289, 409, 82, 202, 322, 442, 46, 166, 286, 406, 81, 201, 321, 441, 50, 170, 290, 410)(23, 143, 263, 383, 51, 171, 291, 411, 84, 204, 324, 444, 47, 167, 287, 407, 83, 203, 323, 443, 52, 172, 292, 412)(56, 176, 296, 416, 87, 207, 327, 447, 119, 239, 359, 479, 95, 215, 335, 455, 115, 235, 355, 475, 89, 209, 329, 449)(57, 177, 297, 417, 90, 210, 330, 450, 116, 236, 356, 476, 96, 216, 336, 456, 120, 240, 360, 480, 88, 208, 328, 448)(59, 179, 299, 419, 77, 197, 317, 437, 110, 230, 350, 470, 91, 211, 331, 451, 108, 228, 348, 468, 93, 213, 333, 453)(60, 180, 300, 420, 94, 214, 334, 454, 107, 227, 347, 467, 92, 212, 332, 452, 109, 229, 349, 469, 76, 196, 316, 436)(68, 188, 308, 428, 101, 221, 341, 461, 114, 234, 354, 474, 97, 217, 337, 457, 118, 238, 358, 478, 86, 206, 326, 446)(69, 189, 309, 429, 85, 205, 325, 445, 117, 237, 357, 477, 98, 218, 338, 458, 113, 233, 353, 473, 102, 222, 342, 462)(70, 190, 310, 430, 103, 223, 343, 463, 111, 231, 351, 471, 99, 219, 339, 459, 105, 225, 345, 465, 73, 193, 313, 433)(71, 191, 311, 431, 74, 194, 314, 434, 106, 226, 346, 466, 100, 220, 340, 460, 112, 232, 352, 472, 104, 224, 344, 464)
	L = (1, 122)(2, 121)(3, 126)(4, 131)(5, 134)(6, 123)(7, 139)(8, 142)(9, 143)(10, 140)(11, 124)(12, 138)(13, 151)(14, 125)(15, 137)(16, 158)(17, 135)(18, 132)(19, 127)(20, 130)(21, 166)(22, 128)(23, 129)(24, 173)(25, 174)(26, 167)(27, 176)(28, 179)(29, 180)(30, 177)(31, 133)(32, 161)(33, 168)(34, 188)(35, 190)(36, 191)(37, 189)(38, 136)(39, 160)(40, 159)(41, 152)(42, 193)(43, 196)(44, 197)(45, 194)(46, 141)(47, 146)(48, 153)(49, 205)(50, 207)(51, 208)(52, 206)(53, 144)(54, 145)(55, 192)(56, 147)(57, 150)(58, 211)(59, 148)(60, 149)(61, 215)(62, 216)(63, 212)(64, 217)(65, 219)(66, 220)(67, 218)(68, 154)(69, 157)(70, 155)(71, 156)(72, 175)(73, 162)(74, 165)(75, 227)(76, 163)(77, 164)(78, 231)(79, 232)(80, 228)(81, 233)(82, 235)(83, 236)(84, 234)(85, 169)(86, 172)(87, 170)(88, 171)(89, 226)(90, 225)(91, 178)(92, 183)(93, 238)(94, 237)(95, 181)(96, 182)(97, 184)(98, 187)(99, 185)(100, 186)(101, 230)(102, 229)(103, 240)(104, 239)(105, 210)(106, 209)(107, 195)(108, 200)(109, 222)(110, 221)(111, 198)(112, 199)(113, 201)(114, 204)(115, 202)(116, 203)(117, 214)(118, 213)(119, 224)(120, 223)(241, 363)(242, 366)(243, 361)(244, 372)(245, 375)(246, 362)(247, 380)(248, 383)(249, 382)(250, 379)(251, 378)(252, 364)(253, 392)(254, 377)(255, 365)(256, 399)(257, 374)(258, 371)(259, 370)(260, 367)(261, 407)(262, 369)(263, 368)(264, 414)(265, 413)(266, 406)(267, 417)(268, 420)(269, 419)(270, 416)(271, 401)(272, 373)(273, 415)(274, 429)(275, 431)(276, 430)(277, 428)(278, 400)(279, 376)(280, 398)(281, 391)(282, 434)(283, 437)(284, 436)(285, 433)(286, 386)(287, 381)(288, 432)(289, 446)(290, 448)(291, 447)(292, 445)(293, 385)(294, 384)(295, 393)(296, 390)(297, 387)(298, 452)(299, 389)(300, 388)(301, 456)(302, 455)(303, 451)(304, 458)(305, 460)(306, 459)(307, 457)(308, 397)(309, 394)(310, 396)(311, 395)(312, 408)(313, 405)(314, 402)(315, 468)(316, 404)(317, 403)(318, 472)(319, 471)(320, 467)(321, 474)(322, 476)(323, 475)(324, 473)(325, 412)(326, 409)(327, 411)(328, 410)(329, 465)(330, 466)(331, 423)(332, 418)(333, 477)(334, 478)(335, 422)(336, 421)(337, 427)(338, 424)(339, 426)(340, 425)(341, 469)(342, 470)(343, 479)(344, 480)(345, 449)(346, 450)(347, 440)(348, 435)(349, 461)(350, 462)(351, 439)(352, 438)(353, 444)(354, 441)(355, 443)(356, 442)(357, 453)(358, 454)(359, 463)(360, 464)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2650
Transitivity :: VT+
Graph::
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.2660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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 * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^4, (Y1 * Y3 * Y1 * Y2)^3, (Y3 * Y1)^6, (Y2 * Y1 * Y3)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 18, 138)(14, 134, 24, 144)(16, 136, 27, 147)(17, 137, 29, 149)(19, 139, 31, 151)(21, 141, 34, 154)(22, 142, 36, 156)(23, 143, 37, 157)(25, 145, 40, 160)(26, 146, 42, 162)(28, 148, 44, 164)(30, 150, 47, 167)(32, 152, 50, 170)(33, 153, 52, 172)(35, 155, 54, 174)(38, 158, 53, 173)(39, 159, 60, 180)(41, 161, 62, 182)(43, 163, 48, 168)(45, 165, 67, 187)(46, 166, 56, 176)(49, 169, 72, 192)(51, 171, 74, 194)(55, 175, 79, 199)(57, 177, 73, 193)(58, 178, 82, 202)(59, 179, 83, 203)(61, 181, 69, 189)(63, 183, 88, 208)(64, 184, 85, 205)(65, 185, 90, 210)(66, 186, 92, 212)(68, 188, 93, 213)(70, 190, 95, 215)(71, 191, 96, 216)(75, 195, 99, 219)(76, 196, 98, 218)(77, 197, 101, 221)(78, 198, 103, 223)(80, 200, 104, 224)(81, 201, 91, 211)(84, 204, 109, 229)(86, 206, 111, 231)(87, 207, 112, 232)(89, 209, 113, 233)(94, 214, 102, 222)(97, 217, 118, 238)(100, 220, 110, 230)(105, 225, 114, 234)(106, 226, 116, 236)(107, 227, 115, 235)(108, 228, 120, 240)(117, 237, 119, 239)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 263, 383)(255, 375, 265, 385)(257, 377, 268, 388)(259, 379, 270, 390)(260, 380, 272, 392)(262, 382, 275, 395)(264, 384, 278, 398)(266, 386, 281, 401)(267, 387, 280, 400)(269, 389, 285, 405)(271, 391, 288, 408)(273, 393, 291, 411)(274, 394, 290, 410)(276, 396, 295, 415)(277, 397, 297, 417)(279, 399, 299, 419)(282, 402, 303, 423)(283, 403, 301, 421)(284, 404, 305, 425)(286, 406, 308, 428)(287, 407, 309, 429)(289, 409, 311, 431)(292, 412, 315, 435)(293, 413, 313, 433)(294, 414, 317, 437)(296, 416, 320, 440)(298, 418, 321, 441)(300, 420, 324, 444)(302, 422, 326, 446)(304, 424, 329, 449)(306, 426, 331, 451)(307, 427, 330, 450)(310, 430, 334, 454)(312, 432, 337, 457)(314, 434, 327, 447)(316, 436, 340, 460)(318, 438, 342, 462)(319, 439, 341, 461)(322, 442, 345, 465)(323, 443, 347, 467)(325, 445, 350, 470)(328, 448, 351, 471)(332, 452, 354, 474)(333, 453, 356, 476)(335, 455, 357, 477)(336, 456, 348, 468)(338, 458, 353, 473)(339, 459, 352, 472)(343, 463, 359, 479)(344, 464, 346, 466)(349, 469, 355, 475)(358, 478, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 263)(14, 247)(15, 266)(16, 268)(17, 249)(18, 270)(19, 250)(20, 273)(21, 275)(22, 252)(23, 253)(24, 279)(25, 281)(26, 255)(27, 283)(28, 256)(29, 286)(30, 258)(31, 289)(32, 291)(33, 260)(34, 293)(35, 261)(36, 296)(37, 298)(38, 299)(39, 264)(40, 301)(41, 265)(42, 304)(43, 267)(44, 306)(45, 308)(46, 269)(47, 310)(48, 311)(49, 271)(50, 313)(51, 272)(52, 316)(53, 274)(54, 318)(55, 320)(56, 276)(57, 321)(58, 277)(59, 278)(60, 325)(61, 280)(62, 327)(63, 329)(64, 282)(65, 331)(66, 284)(67, 328)(68, 285)(69, 334)(70, 287)(71, 288)(72, 338)(73, 290)(74, 326)(75, 340)(76, 292)(77, 342)(78, 294)(79, 339)(80, 295)(81, 297)(82, 346)(83, 348)(84, 350)(85, 300)(86, 314)(87, 302)(88, 307)(89, 303)(90, 351)(91, 305)(92, 355)(93, 357)(94, 309)(95, 356)(96, 347)(97, 353)(98, 312)(99, 319)(100, 315)(101, 352)(102, 317)(103, 360)(104, 345)(105, 344)(106, 322)(107, 336)(108, 323)(109, 354)(110, 324)(111, 330)(112, 341)(113, 337)(114, 349)(115, 332)(116, 335)(117, 333)(118, 359)(119, 358)(120, 343)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2667
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1 * Y3^3 * Y1 * Y2 * Y3, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 26, 146)(11, 131, 18, 138)(13, 133, 32, 152)(15, 135, 35, 155)(17, 137, 39, 159)(20, 140, 45, 165)(22, 142, 48, 168)(23, 143, 49, 169)(24, 144, 51, 171)(25, 145, 53, 173)(27, 147, 46, 166)(28, 148, 59, 179)(29, 149, 60, 180)(30, 150, 62, 182)(31, 151, 63, 183)(33, 153, 40, 160)(34, 154, 65, 185)(36, 156, 66, 186)(37, 157, 68, 188)(38, 158, 70, 190)(41, 161, 76, 196)(42, 162, 77, 197)(43, 163, 79, 199)(44, 164, 80, 200)(47, 167, 82, 202)(50, 170, 86, 206)(52, 172, 91, 211)(54, 174, 93, 213)(55, 175, 94, 214)(56, 176, 96, 216)(57, 177, 97, 217)(58, 178, 87, 207)(61, 181, 101, 221)(64, 184, 106, 226)(67, 187, 88, 208)(69, 189, 105, 225)(71, 191, 90, 210)(72, 192, 84, 204)(73, 193, 104, 224)(74, 194, 92, 212)(75, 195, 108, 228)(78, 198, 102, 222)(81, 201, 99, 219)(83, 203, 100, 220)(85, 205, 98, 218)(89, 209, 103, 223)(95, 215, 116, 236)(107, 227, 110, 230)(109, 229, 120, 240)(111, 231, 119, 239)(112, 232, 118, 238)(113, 233, 117, 237)(114, 234, 115, 235)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 263, 383)(252, 372, 269, 389)(253, 373, 268, 388)(254, 374, 264, 384)(255, 375, 267, 387)(256, 376, 276, 396)(259, 379, 282, 402)(260, 380, 281, 401)(261, 381, 277, 397)(262, 382, 280, 400)(265, 385, 290, 410)(266, 386, 295, 415)(270, 390, 299, 419)(271, 391, 301, 421)(272, 392, 304, 424)(273, 393, 298, 418)(274, 394, 292, 412)(275, 395, 296, 416)(278, 398, 307, 427)(279, 399, 312, 432)(283, 403, 316, 436)(284, 404, 318, 438)(285, 405, 321, 441)(286, 406, 315, 435)(287, 407, 309, 429)(288, 408, 313, 433)(289, 409, 323, 443)(291, 411, 328, 448)(293, 413, 324, 444)(294, 414, 327, 447)(297, 417, 335, 455)(300, 420, 338, 458)(302, 422, 342, 462)(303, 423, 339, 459)(305, 425, 329, 449)(306, 426, 340, 460)(308, 428, 326, 446)(310, 430, 334, 454)(311, 431, 348, 468)(314, 434, 349, 469)(317, 437, 325, 445)(319, 439, 341, 461)(320, 440, 346, 466)(322, 442, 347, 467)(330, 450, 353, 473)(331, 451, 354, 474)(332, 452, 351, 471)(333, 453, 352, 472)(336, 456, 357, 477)(337, 457, 355, 475)(343, 463, 356, 476)(344, 464, 358, 478)(345, 465, 359, 479)(350, 470, 360, 480)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 264)(10, 267)(11, 243)(12, 270)(13, 273)(14, 263)(15, 245)(16, 277)(17, 280)(18, 246)(19, 283)(20, 286)(21, 276)(22, 248)(23, 290)(24, 292)(25, 249)(26, 296)(27, 298)(28, 251)(29, 301)(30, 297)(31, 252)(32, 294)(33, 255)(34, 254)(35, 295)(36, 307)(37, 309)(38, 256)(39, 313)(40, 315)(41, 258)(42, 318)(43, 314)(44, 259)(45, 311)(46, 262)(47, 261)(48, 312)(49, 324)(50, 327)(51, 329)(52, 272)(53, 323)(54, 265)(55, 335)(56, 271)(57, 266)(58, 268)(59, 269)(60, 339)(61, 275)(62, 343)(63, 338)(64, 274)(65, 328)(66, 334)(67, 348)(68, 347)(69, 285)(70, 340)(71, 278)(72, 349)(73, 284)(74, 279)(75, 281)(76, 282)(77, 346)(78, 288)(79, 350)(80, 325)(81, 287)(82, 326)(83, 317)(84, 351)(85, 289)(86, 352)(87, 304)(88, 353)(89, 322)(90, 291)(91, 320)(92, 293)(93, 308)(94, 355)(95, 299)(96, 319)(97, 310)(98, 306)(99, 359)(100, 300)(101, 357)(102, 358)(103, 360)(104, 302)(105, 303)(106, 354)(107, 305)(108, 321)(109, 316)(110, 356)(111, 331)(112, 330)(113, 333)(114, 332)(115, 345)(116, 342)(117, 344)(118, 336)(119, 337)(120, 341)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2668
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, (Y2 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y2)^5, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3, (Y3 * Y1 * Y2)^4, (Y3 * Y1)^6, Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 40, 160)(26, 146, 43, 163)(27, 147, 45, 165)(29, 149, 48, 168)(32, 152, 52, 172)(34, 154, 55, 175)(35, 155, 57, 177)(37, 157, 60, 180)(39, 159, 63, 183)(41, 161, 66, 186)(42, 162, 68, 188)(44, 164, 56, 176)(46, 166, 69, 189)(47, 167, 74, 194)(49, 169, 75, 195)(50, 170, 62, 182)(51, 171, 77, 197)(53, 173, 80, 200)(54, 174, 82, 202)(58, 178, 83, 203)(59, 179, 88, 208)(61, 181, 89, 209)(64, 184, 93, 213)(65, 185, 94, 214)(67, 187, 97, 217)(70, 190, 101, 221)(71, 191, 102, 222)(72, 192, 99, 219)(73, 193, 104, 224)(76, 196, 109, 229)(78, 198, 103, 223)(79, 199, 100, 220)(81, 201, 110, 230)(84, 204, 107, 227)(85, 205, 111, 231)(86, 206, 95, 215)(87, 207, 92, 212)(90, 210, 91, 211)(96, 216, 112, 232)(98, 218, 105, 225)(106, 226, 118, 238)(108, 228, 120, 240)(113, 233, 116, 236)(114, 234, 117, 237)(115, 235, 119, 239)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 271, 391)(265, 385, 281, 401)(267, 387, 284, 404)(268, 388, 286, 406)(270, 390, 289, 409)(273, 393, 293, 413)(275, 395, 296, 416)(276, 396, 298, 418)(278, 398, 301, 421)(279, 399, 291, 411)(280, 400, 304, 424)(282, 402, 307, 427)(283, 403, 309, 429)(285, 405, 311, 431)(287, 407, 313, 433)(288, 408, 305, 425)(290, 410, 316, 436)(292, 412, 318, 438)(294, 414, 321, 441)(295, 415, 323, 443)(297, 417, 325, 445)(299, 419, 327, 447)(300, 420, 319, 439)(302, 422, 330, 450)(303, 423, 331, 451)(306, 426, 335, 455)(308, 428, 338, 458)(310, 430, 340, 460)(312, 432, 343, 463)(314, 434, 345, 465)(315, 435, 347, 467)(317, 437, 349, 469)(320, 440, 339, 459)(322, 442, 336, 456)(324, 444, 334, 454)(326, 446, 333, 453)(328, 448, 352, 472)(329, 449, 341, 461)(332, 452, 350, 470)(337, 457, 344, 464)(342, 462, 351, 471)(346, 466, 357, 477)(348, 468, 359, 479)(353, 473, 360, 480)(354, 474, 355, 475)(356, 476, 358, 478)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 279)(24, 253)(25, 282)(26, 284)(27, 255)(28, 287)(29, 256)(30, 290)(31, 291)(32, 258)(33, 294)(34, 296)(35, 260)(36, 299)(37, 261)(38, 302)(39, 263)(40, 305)(41, 307)(42, 265)(43, 310)(44, 266)(45, 312)(46, 313)(47, 268)(48, 304)(49, 316)(50, 270)(51, 271)(52, 319)(53, 321)(54, 273)(55, 324)(56, 274)(57, 326)(58, 327)(59, 276)(60, 318)(61, 330)(62, 278)(63, 332)(64, 288)(65, 280)(66, 336)(67, 281)(68, 339)(69, 340)(70, 283)(71, 343)(72, 285)(73, 286)(74, 346)(75, 348)(76, 289)(77, 344)(78, 300)(79, 292)(80, 338)(81, 293)(82, 335)(83, 334)(84, 295)(85, 333)(86, 297)(87, 298)(88, 353)(89, 354)(90, 301)(91, 350)(92, 303)(93, 325)(94, 323)(95, 322)(96, 306)(97, 349)(98, 320)(99, 308)(100, 309)(101, 355)(102, 356)(103, 311)(104, 317)(105, 357)(106, 314)(107, 359)(108, 315)(109, 337)(110, 331)(111, 358)(112, 360)(113, 328)(114, 329)(115, 341)(116, 342)(117, 345)(118, 351)(119, 347)(120, 352)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2665
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y3^-1 * Y2 * R, (Y3^-1 * Y1 * Y3 * Y1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y2 * Y1 * Y2 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y3^-1 * 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, 55, 175)(26, 146, 37, 157)(27, 147, 56, 176)(28, 148, 39, 159)(29, 149, 59, 179)(30, 150, 60, 180)(31, 151, 63, 183)(32, 152, 64, 184)(35, 155, 71, 191)(36, 156, 74, 194)(38, 158, 75, 195)(40, 160, 78, 198)(42, 162, 65, 185)(43, 163, 72, 192)(46, 166, 61, 181)(47, 167, 87, 207)(48, 168, 68, 188)(49, 169, 67, 187)(50, 170, 84, 204)(51, 171, 89, 209)(53, 173, 62, 182)(54, 174, 83, 203)(57, 177, 80, 200)(58, 178, 94, 214)(66, 186, 102, 222)(69, 189, 100, 220)(70, 190, 103, 223)(73, 193, 99, 219)(76, 196, 97, 217)(77, 197, 107, 227)(79, 199, 109, 229)(81, 201, 110, 230)(82, 202, 108, 228)(85, 205, 105, 225)(86, 206, 90, 210)(88, 208, 95, 215)(91, 211, 101, 221)(92, 212, 106, 226)(93, 213, 104, 224)(96, 216, 116, 236)(98, 218, 112, 232)(111, 231, 118, 238)(113, 233, 117, 237)(114, 234, 120, 240)(115, 235, 119, 239)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 256, 376)(248, 368, 255, 375)(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, 283, 403)(261, 381, 282, 402)(262, 382, 286, 406)(263, 383, 289, 409)(265, 385, 294, 414)(266, 386, 293, 413)(268, 388, 298, 418)(269, 389, 297, 417)(271, 391, 302, 422)(272, 392, 301, 421)(273, 393, 305, 425)(274, 394, 308, 428)(276, 396, 313, 433)(277, 397, 312, 432)(279, 399, 317, 437)(280, 400, 316, 436)(281, 401, 319, 439)(284, 404, 310, 430)(285, 405, 323, 443)(287, 407, 315, 435)(288, 408, 326, 446)(290, 410, 328, 448)(291, 411, 303, 423)(292, 412, 321, 441)(295, 415, 331, 451)(296, 416, 306, 426)(299, 419, 335, 455)(300, 420, 336, 456)(304, 424, 339, 459)(307, 427, 333, 453)(309, 429, 322, 442)(311, 431, 338, 458)(314, 434, 345, 465)(318, 438, 348, 468)(320, 440, 330, 450)(324, 444, 352, 472)(325, 445, 351, 471)(327, 447, 353, 473)(329, 449, 334, 454)(332, 452, 355, 475)(337, 457, 344, 464)(340, 460, 350, 470)(341, 461, 357, 477)(342, 462, 358, 478)(343, 463, 347, 467)(346, 466, 360, 480)(349, 469, 359, 479)(354, 474, 356, 476)
	L = (1, 244)(2, 247)(3, 250)(4, 245)(5, 241)(6, 255)(7, 248)(8, 242)(9, 260)(10, 251)(11, 243)(12, 265)(13, 268)(14, 271)(15, 256)(16, 246)(17, 276)(18, 279)(19, 282)(20, 261)(21, 249)(22, 287)(23, 290)(24, 293)(25, 266)(26, 252)(27, 297)(28, 269)(29, 253)(30, 301)(31, 272)(32, 254)(33, 306)(34, 309)(35, 312)(36, 277)(37, 257)(38, 316)(39, 280)(40, 258)(41, 320)(42, 283)(43, 259)(44, 322)(45, 324)(46, 326)(47, 288)(48, 262)(49, 303)(50, 291)(51, 263)(52, 330)(53, 294)(54, 264)(55, 332)(56, 305)(57, 298)(58, 267)(59, 295)(60, 337)(61, 302)(62, 270)(63, 328)(64, 340)(65, 333)(66, 307)(67, 273)(68, 284)(69, 310)(70, 274)(71, 344)(72, 313)(73, 275)(74, 346)(75, 286)(76, 317)(77, 278)(78, 314)(79, 292)(80, 321)(81, 281)(82, 308)(83, 351)(84, 325)(85, 285)(86, 315)(87, 354)(88, 289)(89, 327)(90, 319)(91, 335)(92, 299)(93, 296)(94, 356)(95, 355)(96, 311)(97, 338)(98, 300)(99, 357)(100, 341)(101, 304)(102, 359)(103, 342)(104, 336)(105, 348)(106, 318)(107, 349)(108, 360)(109, 358)(110, 339)(111, 352)(112, 323)(113, 334)(114, 329)(115, 331)(116, 353)(117, 350)(118, 347)(119, 343)(120, 345)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2669
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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^-1 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2 * Y3)^2, (Y2 * Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-2, Y1 * Y3 * Y2 * Y1 * Y3^2 * Y1 * Y2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1)^5, (Y3^-1 * Y1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 15, 135)(7, 127, 18, 138)(8, 128, 20, 140)(10, 130, 16, 136)(11, 131, 25, 145)(13, 133, 27, 147)(17, 137, 35, 155)(19, 139, 37, 157)(21, 141, 41, 161)(22, 142, 43, 163)(23, 143, 45, 165)(24, 144, 46, 166)(26, 146, 50, 170)(28, 148, 52, 172)(29, 149, 54, 174)(30, 150, 56, 176)(31, 151, 57, 177)(32, 152, 59, 179)(33, 153, 61, 181)(34, 154, 62, 182)(36, 156, 63, 183)(38, 158, 64, 184)(39, 159, 66, 186)(40, 160, 68, 188)(42, 162, 55, 175)(44, 164, 53, 173)(47, 167, 75, 195)(48, 168, 76, 196)(49, 169, 77, 197)(51, 171, 79, 199)(58, 178, 67, 187)(60, 180, 65, 185)(69, 189, 97, 217)(70, 190, 98, 218)(71, 191, 99, 219)(72, 192, 101, 221)(73, 193, 103, 223)(74, 194, 104, 224)(78, 198, 96, 216)(80, 200, 111, 231)(81, 201, 112, 232)(82, 202, 107, 227)(83, 203, 108, 228)(84, 204, 91, 211)(85, 205, 102, 222)(86, 206, 100, 220)(87, 207, 109, 229)(88, 208, 110, 230)(89, 209, 115, 235)(90, 210, 116, 236)(92, 212, 114, 234)(93, 213, 113, 233)(94, 214, 105, 225)(95, 215, 106, 226)(117, 237, 120, 240)(118, 238, 119, 239)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 257, 377)(248, 368, 256, 376)(249, 369, 261, 381)(252, 372, 263, 383)(253, 373, 264, 384)(254, 374, 268, 388)(255, 375, 271, 391)(258, 378, 273, 393)(259, 379, 274, 394)(260, 380, 278, 398)(262, 382, 282, 402)(265, 385, 287, 407)(266, 386, 284, 404)(267, 387, 289, 409)(269, 389, 293, 413)(270, 390, 286, 406)(272, 392, 298, 418)(275, 395, 291, 411)(276, 396, 300, 420)(277, 397, 288, 408)(279, 399, 305, 425)(280, 400, 302, 422)(281, 401, 297, 417)(283, 403, 309, 429)(285, 405, 311, 431)(290, 410, 313, 433)(292, 412, 304, 424)(294, 414, 320, 440)(295, 415, 314, 434)(296, 416, 322, 442)(299, 419, 325, 445)(301, 421, 327, 447)(303, 423, 329, 449)(306, 426, 332, 452)(307, 427, 330, 450)(308, 428, 334, 454)(310, 430, 326, 446)(312, 432, 340, 460)(315, 435, 339, 459)(316, 436, 345, 465)(317, 437, 347, 467)(318, 438, 342, 462)(319, 439, 349, 469)(321, 441, 333, 453)(323, 443, 353, 473)(324, 444, 344, 464)(328, 448, 338, 458)(331, 451, 337, 457)(335, 455, 352, 472)(336, 456, 356, 476)(341, 461, 357, 477)(343, 463, 351, 471)(346, 466, 358, 478)(348, 468, 359, 479)(350, 470, 360, 480)(354, 474, 355, 475)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 256)(7, 259)(8, 242)(9, 262)(10, 264)(11, 243)(12, 266)(13, 245)(14, 269)(15, 272)(16, 274)(17, 246)(18, 276)(19, 248)(20, 279)(21, 252)(22, 284)(23, 249)(24, 251)(25, 288)(26, 282)(27, 291)(28, 286)(29, 295)(30, 254)(31, 258)(32, 300)(33, 255)(34, 257)(35, 289)(36, 298)(37, 287)(38, 302)(39, 307)(40, 260)(41, 299)(42, 261)(43, 310)(44, 263)(45, 312)(46, 314)(47, 267)(48, 275)(49, 265)(50, 318)(51, 277)(52, 306)(53, 268)(54, 321)(55, 270)(56, 323)(57, 283)(58, 271)(59, 326)(60, 273)(61, 328)(62, 330)(63, 331)(64, 294)(65, 278)(66, 333)(67, 280)(68, 335)(69, 281)(70, 325)(71, 290)(72, 342)(73, 285)(74, 293)(75, 341)(76, 346)(77, 348)(78, 340)(79, 350)(80, 292)(81, 332)(82, 344)(83, 354)(84, 296)(85, 297)(86, 309)(87, 303)(88, 337)(89, 301)(90, 305)(91, 338)(92, 304)(93, 320)(94, 356)(95, 351)(96, 308)(97, 329)(98, 327)(99, 316)(100, 311)(101, 358)(102, 313)(103, 352)(104, 355)(105, 315)(106, 357)(107, 319)(108, 360)(109, 317)(110, 359)(111, 336)(112, 334)(113, 322)(114, 324)(115, 353)(116, 343)(117, 339)(118, 345)(119, 347)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2666
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^6, (Y2 * Y1 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^2 * Y2 * Y1^-2 * Y2 * Y1^2 * Y3 * Y2, (Y1 * Y2)^5, Y1^-2 * Y2 * Y1^3 * Y2 * Y1^3 * Y2 * Y1^-1, (Y2 * Y1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 43, 163, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 70, 190, 42, 162, 20, 140)(10, 130, 24, 144, 48, 168, 80, 200, 45, 165, 23, 143)(13, 133, 29, 149, 56, 176, 95, 215, 58, 178, 30, 150)(16, 136, 34, 154, 64, 184, 106, 226, 69, 189, 36, 156)(19, 139, 40, 160, 75, 195, 114, 234, 72, 192, 39, 159)(22, 142, 46, 166, 82, 202, 119, 239, 77, 197, 41, 161)(25, 145, 50, 170, 88, 208, 110, 230, 89, 209, 51, 171)(28, 148, 54, 174, 93, 213, 120, 240, 78, 198, 55, 175)(31, 151, 59, 179, 85, 205, 113, 233, 99, 219, 60, 180)(32, 152, 61, 181, 100, 220, 79, 199, 105, 225, 63, 183)(35, 155, 67, 187, 44, 164, 81, 201, 108, 228, 66, 186)(38, 158, 73, 193, 116, 236, 94, 214, 112, 232, 68, 188)(47, 167, 76, 196, 118, 238, 98, 218, 101, 221, 84, 204)(49, 169, 86, 206, 104, 224, 65, 185, 109, 229, 87, 207)(52, 172, 90, 210, 53, 173, 92, 212, 107, 227, 91, 211)(57, 177, 96, 216, 117, 237, 74, 194, 111, 231, 83, 203)(62, 182, 103, 223, 71, 191, 115, 235, 97, 217, 102, 222)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 284, 404)(263, 383, 287, 407)(264, 384, 289, 409)(266, 386, 292, 412)(267, 387, 293, 413)(269, 389, 290, 410)(270, 390, 297, 417)(273, 393, 302, 422)(274, 394, 305, 425)(276, 396, 308, 428)(277, 397, 311, 431)(279, 399, 314, 434)(280, 400, 316, 436)(282, 402, 318, 438)(283, 403, 319, 439)(285, 405, 309, 429)(286, 406, 323, 443)(288, 408, 325, 445)(291, 411, 313, 433)(294, 414, 334, 454)(295, 415, 327, 447)(296, 416, 315, 435)(298, 418, 337, 457)(299, 419, 336, 456)(300, 420, 338, 458)(301, 421, 341, 461)(303, 423, 344, 464)(304, 424, 347, 467)(306, 426, 350, 470)(307, 427, 351, 471)(310, 430, 353, 473)(312, 432, 345, 465)(317, 437, 349, 469)(320, 440, 355, 475)(321, 441, 360, 480)(322, 442, 342, 462)(324, 444, 352, 472)(326, 446, 357, 477)(328, 448, 358, 478)(329, 449, 343, 463)(330, 450, 356, 476)(331, 451, 354, 474)(332, 452, 359, 479)(333, 453, 340, 460)(335, 455, 346, 466)(339, 459, 348, 468)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 285)(22, 287)(23, 249)(24, 251)(25, 289)(26, 288)(27, 254)(28, 253)(29, 295)(30, 294)(31, 293)(32, 302)(33, 255)(34, 306)(35, 256)(36, 307)(37, 312)(38, 314)(39, 258)(40, 260)(41, 316)(42, 315)(43, 320)(44, 309)(45, 261)(46, 324)(47, 262)(48, 266)(49, 265)(50, 327)(51, 326)(52, 325)(53, 271)(54, 270)(55, 269)(56, 318)(57, 334)(58, 333)(59, 330)(60, 332)(61, 342)(62, 272)(63, 343)(64, 348)(65, 350)(66, 274)(67, 276)(68, 351)(69, 284)(70, 354)(71, 345)(72, 277)(73, 357)(74, 278)(75, 282)(76, 281)(77, 358)(78, 296)(79, 355)(80, 283)(81, 346)(82, 341)(83, 352)(84, 286)(85, 292)(86, 291)(87, 290)(88, 349)(89, 344)(90, 299)(91, 353)(92, 300)(93, 298)(94, 297)(95, 360)(96, 356)(97, 340)(98, 359)(99, 347)(100, 337)(101, 322)(102, 301)(103, 303)(104, 329)(105, 311)(106, 321)(107, 339)(108, 304)(109, 328)(110, 305)(111, 308)(112, 323)(113, 331)(114, 310)(115, 319)(116, 336)(117, 313)(118, 317)(119, 338)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2662
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, Y3^4, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y2 * Y1^-1 * R)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1)^3, Y1^6, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y1^-2 * Y3 * Y1^-1 * Y2 * Y1^2, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1^-1, Y1^-1 * Y3^2 * Y1^-2 * Y3^2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-3 * Y3 * Y2 * Y1^-2 * Y2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 2, 122, 7, 127, 22, 142, 20, 140, 5, 125)(3, 123, 11, 131, 33, 153, 71, 191, 40, 160, 13, 133)(4, 124, 15, 135, 42, 162, 84, 204, 44, 164, 17, 137)(6, 126, 21, 141, 51, 171, 69, 189, 31, 151, 9, 129)(8, 128, 26, 146, 62, 182, 110, 230, 66, 186, 28, 148)(10, 130, 32, 152, 70, 190, 108, 228, 60, 180, 24, 144)(12, 132, 37, 157, 76, 196, 96, 216, 56, 176, 27, 147)(14, 134, 41, 161, 83, 203, 99, 219, 75, 195, 35, 155)(16, 136, 34, 154, 74, 194, 98, 218, 85, 205, 43, 163)(18, 138, 45, 165, 87, 207, 118, 238, 90, 210, 46, 166)(19, 139, 47, 167, 91, 211, 119, 239, 92, 212, 48, 168)(23, 143, 55, 175, 102, 222, 72, 192, 36, 156, 57, 177)(25, 145, 61, 181, 109, 229, 73, 193, 100, 220, 53, 173)(29, 149, 67, 187, 115, 235, 88, 208, 114, 234, 64, 184)(30, 150, 63, 183, 113, 233, 89, 209, 116, 236, 68, 188)(38, 158, 77, 197, 104, 224, 58, 178, 106, 226, 78, 198)(39, 159, 79, 199, 107, 227, 59, 179, 103, 223, 80, 200)(49, 169, 82, 202, 117, 237, 94, 214, 105, 225, 93, 213)(50, 170, 54, 174, 101, 221, 120, 240, 112, 232, 81, 201)(52, 172, 95, 215, 86, 206, 111, 231, 65, 185, 97, 217)(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, 274, 394)(253, 373, 278, 398)(255, 375, 277, 397)(256, 376, 268, 388)(257, 377, 276, 396)(259, 379, 279, 399)(260, 380, 289, 409)(261, 381, 281, 401)(262, 382, 292, 412)(264, 384, 298, 418)(265, 385, 296, 416)(266, 386, 303, 423)(270, 390, 297, 417)(271, 391, 305, 425)(272, 392, 307, 427)(273, 393, 310, 430)(275, 395, 308, 428)(280, 400, 321, 441)(282, 402, 319, 439)(283, 403, 320, 440)(284, 404, 313, 433)(285, 405, 317, 437)(286, 406, 328, 448)(287, 407, 316, 436)(288, 408, 306, 426)(290, 410, 329, 449)(291, 411, 327, 447)(293, 413, 338, 458)(294, 414, 336, 456)(295, 415, 343, 463)(299, 419, 337, 457)(300, 420, 345, 465)(301, 421, 346, 466)(302, 422, 349, 469)(304, 424, 347, 467)(309, 429, 352, 472)(311, 431, 351, 471)(312, 432, 358, 478)(314, 434, 355, 475)(315, 435, 335, 455)(318, 438, 353, 473)(322, 442, 354, 474)(323, 443, 344, 464)(324, 444, 357, 477)(325, 445, 341, 461)(326, 446, 359, 479)(330, 450, 340, 460)(331, 451, 356, 476)(332, 452, 348, 468)(333, 453, 339, 459)(334, 454, 350, 470)(342, 462, 360, 480)
	L = (1, 244)(2, 249)(3, 252)(4, 256)(5, 259)(6, 241)(7, 264)(8, 267)(9, 270)(10, 242)(11, 275)(12, 268)(13, 279)(14, 243)(15, 245)(16, 246)(17, 272)(18, 277)(19, 278)(20, 290)(21, 283)(22, 293)(23, 296)(24, 299)(25, 247)(26, 304)(27, 297)(28, 254)(29, 248)(30, 250)(31, 301)(32, 308)(33, 312)(34, 257)(35, 307)(36, 251)(37, 253)(38, 255)(39, 258)(40, 322)(41, 306)(42, 318)(43, 317)(44, 326)(45, 320)(46, 329)(47, 260)(48, 261)(49, 316)(50, 328)(51, 332)(52, 336)(53, 339)(54, 262)(55, 344)(56, 337)(57, 269)(58, 263)(59, 265)(60, 341)(61, 347)(62, 351)(63, 271)(64, 346)(65, 266)(66, 285)(67, 276)(68, 274)(69, 357)(70, 284)(71, 349)(72, 359)(73, 273)(74, 356)(75, 340)(76, 286)(77, 288)(78, 354)(79, 280)(80, 281)(81, 282)(82, 353)(83, 343)(84, 352)(85, 345)(86, 358)(87, 350)(88, 287)(89, 289)(90, 335)(91, 355)(92, 342)(93, 338)(94, 291)(95, 314)(96, 333)(97, 298)(98, 292)(99, 294)(100, 331)(101, 323)(102, 334)(103, 300)(104, 325)(105, 295)(106, 305)(107, 303)(108, 327)(109, 309)(110, 360)(111, 324)(112, 302)(113, 319)(114, 321)(115, 315)(116, 330)(117, 311)(118, 310)(119, 313)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2664
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1^6, (Y2 * Y1^-1)^4, (Y2 * Y1^-2)^3, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 43, 163, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 69, 189, 42, 162, 20, 140)(10, 130, 24, 144, 49, 169, 78, 198, 45, 165, 23, 143)(13, 133, 29, 149, 56, 176, 96, 216, 58, 178, 30, 150)(16, 136, 34, 154, 52, 172, 90, 210, 68, 188, 36, 156)(19, 139, 40, 160, 73, 193, 111, 231, 70, 190, 39, 159)(22, 142, 46, 166, 81, 201, 108, 228, 85, 205, 48, 168)(25, 145, 51, 171, 88, 208, 113, 233, 72, 192, 38, 158)(28, 148, 54, 174, 93, 213, 119, 239, 95, 215, 55, 175)(31, 151, 59, 179, 100, 220, 80, 200, 44, 164, 60, 180)(32, 152, 61, 181, 76, 196, 116, 236, 97, 217, 63, 183)(35, 155, 66, 186, 107, 227, 118, 238, 86, 206, 65, 185)(41, 161, 75, 195, 115, 235, 94, 214, 89, 209, 64, 184)(47, 167, 83, 203, 102, 222, 67, 187, 109, 229, 82, 202)(50, 170, 71, 191, 112, 232, 101, 221, 105, 225, 87, 207)(53, 173, 91, 211, 79, 199, 110, 230, 120, 240, 92, 212)(57, 177, 98, 218, 84, 204, 74, 194, 106, 226, 99, 219)(62, 182, 104, 224, 117, 237, 77, 197, 114, 234, 103, 223)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 284, 404)(263, 383, 287, 407)(264, 384, 290, 410)(266, 386, 292, 412)(267, 387, 293, 413)(269, 389, 297, 417)(270, 390, 286, 406)(273, 393, 302, 422)(274, 394, 304, 424)(276, 396, 307, 427)(277, 397, 298, 418)(279, 399, 311, 431)(280, 400, 314, 434)(282, 402, 316, 436)(283, 403, 317, 437)(285, 405, 319, 439)(288, 408, 324, 444)(289, 409, 326, 446)(291, 411, 329, 449)(294, 414, 322, 442)(295, 415, 334, 454)(296, 416, 337, 457)(299, 419, 341, 461)(300, 420, 338, 458)(301, 421, 342, 462)(303, 423, 345, 465)(305, 425, 346, 466)(306, 426, 348, 468)(308, 428, 340, 460)(309, 429, 350, 470)(310, 430, 333, 453)(312, 432, 321, 441)(313, 433, 354, 474)(315, 435, 323, 443)(318, 438, 356, 476)(320, 440, 351, 471)(325, 445, 343, 463)(327, 447, 339, 459)(328, 448, 344, 464)(330, 450, 359, 479)(331, 451, 355, 475)(332, 452, 353, 473)(335, 455, 357, 477)(336, 456, 358, 478)(347, 467, 360, 480)(349, 469, 352, 472)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 285)(22, 287)(23, 249)(24, 251)(25, 290)(26, 289)(27, 254)(28, 253)(29, 295)(30, 294)(31, 293)(32, 302)(33, 255)(34, 305)(35, 256)(36, 306)(37, 310)(38, 311)(39, 258)(40, 260)(41, 314)(42, 313)(43, 318)(44, 319)(45, 261)(46, 322)(47, 262)(48, 323)(49, 266)(50, 265)(51, 327)(52, 326)(53, 271)(54, 270)(55, 269)(56, 335)(57, 334)(58, 333)(59, 332)(60, 331)(61, 343)(62, 272)(63, 344)(64, 346)(65, 274)(66, 276)(67, 348)(68, 347)(69, 351)(70, 277)(71, 278)(72, 352)(73, 282)(74, 281)(75, 324)(76, 354)(77, 356)(78, 283)(79, 284)(80, 350)(81, 349)(82, 286)(83, 288)(84, 315)(85, 342)(86, 292)(87, 291)(88, 345)(89, 339)(90, 358)(91, 300)(92, 299)(93, 298)(94, 297)(95, 296)(96, 359)(97, 357)(98, 355)(99, 329)(100, 360)(101, 353)(102, 325)(103, 301)(104, 303)(105, 328)(106, 304)(107, 308)(108, 307)(109, 321)(110, 320)(111, 309)(112, 312)(113, 341)(114, 316)(115, 338)(116, 317)(117, 337)(118, 330)(119, 336)(120, 340)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2660
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
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, Y3^2, (Y1^-1 * Y3)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y3 * Y1 * Y2 * Y1^3 * Y2 * Y1^-2, Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 43, 163, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 54, 174, 42, 162, 20, 140)(10, 130, 24, 144, 49, 169, 32, 152, 45, 165, 23, 143)(13, 133, 29, 149, 57, 177, 35, 155, 60, 180, 30, 150)(16, 136, 34, 154, 56, 176, 28, 148, 55, 175, 36, 156)(19, 139, 40, 160, 62, 182, 31, 151, 61, 181, 39, 159)(22, 142, 46, 166, 76, 196, 82, 202, 81, 201, 48, 168)(25, 145, 51, 171, 85, 205, 74, 194, 88, 208, 52, 172)(38, 158, 66, 186, 106, 226, 100, 220, 110, 230, 68, 188)(41, 161, 70, 190, 86, 206, 99, 219, 113, 233, 71, 191)(44, 164, 73, 193, 84, 204, 50, 170, 83, 203, 75, 195)(47, 167, 79, 199, 90, 210, 53, 173, 89, 209, 78, 198)(58, 178, 94, 214, 103, 223, 64, 184, 80, 200, 95, 215)(59, 179, 96, 216, 102, 222, 63, 183, 101, 221, 97, 217)(65, 185, 104, 224, 112, 232, 69, 189, 111, 231, 105, 225)(67, 187, 109, 229, 114, 234, 72, 192, 77, 197, 108, 228)(87, 207, 93, 213, 119, 239, 115, 235, 91, 211, 107, 227)(92, 212, 118, 238, 117, 237, 98, 218, 120, 240, 116, 236)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 284, 404)(263, 383, 287, 407)(264, 384, 290, 410)(266, 386, 293, 413)(267, 387, 294, 414)(269, 389, 298, 418)(270, 390, 299, 419)(273, 393, 283, 403)(274, 394, 303, 423)(276, 396, 304, 424)(277, 397, 305, 425)(279, 399, 307, 427)(280, 400, 309, 429)(282, 402, 312, 432)(285, 405, 314, 434)(286, 406, 317, 437)(288, 408, 320, 440)(289, 409, 322, 442)(291, 411, 326, 446)(292, 412, 327, 447)(295, 415, 331, 451)(296, 416, 332, 452)(297, 417, 333, 453)(300, 420, 338, 458)(301, 421, 339, 459)(302, 422, 340, 460)(306, 426, 347, 467)(308, 428, 321, 441)(310, 430, 335, 455)(311, 431, 315, 435)(313, 433, 355, 475)(316, 436, 356, 476)(318, 438, 346, 466)(319, 439, 357, 477)(323, 443, 341, 461)(324, 444, 344, 464)(325, 445, 336, 456)(328, 448, 351, 471)(329, 449, 334, 454)(330, 450, 349, 469)(337, 457, 348, 468)(342, 462, 350, 470)(343, 463, 345, 465)(352, 472, 358, 478)(353, 473, 360, 480)(354, 474, 359, 479)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 285)(22, 287)(23, 249)(24, 251)(25, 290)(26, 289)(27, 254)(28, 253)(29, 296)(30, 295)(31, 294)(32, 283)(33, 255)(34, 297)(35, 256)(36, 300)(37, 301)(38, 307)(39, 258)(40, 260)(41, 309)(42, 302)(43, 272)(44, 314)(45, 261)(46, 318)(47, 262)(48, 319)(49, 266)(50, 265)(51, 324)(52, 323)(53, 322)(54, 271)(55, 270)(56, 269)(57, 274)(58, 332)(59, 331)(60, 276)(61, 277)(62, 282)(63, 333)(64, 338)(65, 339)(66, 348)(67, 278)(68, 349)(69, 281)(70, 352)(71, 351)(72, 340)(73, 325)(74, 284)(75, 328)(76, 329)(77, 346)(78, 286)(79, 288)(80, 357)(81, 330)(82, 293)(83, 292)(84, 291)(85, 313)(86, 344)(87, 341)(88, 315)(89, 316)(90, 321)(91, 299)(92, 298)(93, 303)(94, 356)(95, 358)(96, 355)(97, 347)(98, 304)(99, 305)(100, 312)(101, 327)(102, 359)(103, 360)(104, 326)(105, 353)(106, 317)(107, 337)(108, 306)(109, 308)(110, 354)(111, 311)(112, 310)(113, 345)(114, 350)(115, 336)(116, 334)(117, 320)(118, 335)(119, 342)(120, 343)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2661
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^2)^2, (Y2 * Y1^-3)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^3 * Y3 * Y1^-2, Y1^2 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 21, 141, 19, 139, 5, 125)(3, 123, 11, 131, 31, 151, 52, 172, 39, 159, 13, 133)(4, 124, 15, 135, 41, 161, 53, 173, 24, 144, 16, 136)(6, 126, 20, 140, 50, 170, 54, 174, 29, 149, 9, 129)(8, 128, 25, 145, 59, 179, 49, 169, 67, 187, 27, 147)(10, 130, 30, 150, 18, 138, 48, 168, 44, 164, 23, 143)(12, 132, 35, 155, 78, 198, 101, 221, 73, 193, 36, 156)(14, 134, 40, 160, 86, 206, 102, 222, 76, 196, 33, 153)(17, 137, 45, 165, 57, 177, 22, 142, 55, 175, 46, 166)(26, 146, 63, 183, 75, 195, 98, 218, 110, 230, 64, 184)(28, 148, 68, 188, 114, 234, 99, 219, 74, 194, 61, 181)(32, 152, 66, 186, 112, 232, 85, 205, 109, 229, 62, 182)(34, 154, 77, 197, 38, 158, 84, 204, 81, 201, 72, 192)(37, 157, 70, 190, 116, 236, 71, 191, 92, 212, 82, 202)(42, 162, 89, 209, 104, 224, 56, 176, 103, 223, 90, 210)(43, 163, 91, 211, 108, 228, 88, 208, 83, 203, 65, 185)(47, 167, 97, 217, 80, 200, 58, 178, 107, 227, 93, 213)(51, 171, 100, 220, 105, 225, 69, 189, 115, 235, 95, 215)(60, 180, 106, 226, 94, 214, 113, 233, 96, 216, 87, 207)(79, 199, 118, 238, 120, 240, 117, 237, 119, 239, 111, 231)(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, 272, 392)(253, 373, 277, 397)(255, 375, 282, 402)(256, 376, 283, 403)(258, 378, 287, 407)(259, 379, 289, 409)(260, 380, 291, 411)(261, 381, 292, 412)(263, 383, 298, 418)(264, 384, 296, 416)(265, 385, 300, 420)(267, 387, 305, 425)(269, 389, 309, 429)(270, 390, 310, 430)(271, 391, 311, 431)(273, 393, 315, 435)(274, 394, 314, 434)(275, 395, 319, 439)(276, 396, 320, 440)(278, 398, 323, 443)(279, 399, 325, 445)(280, 400, 327, 447)(281, 401, 328, 448)(284, 404, 332, 452)(285, 405, 317, 437)(286, 406, 335, 455)(288, 408, 338, 458)(290, 410, 339, 459)(293, 413, 342, 462)(294, 414, 341, 461)(295, 415, 321, 441)(297, 417, 345, 465)(299, 419, 348, 468)(301, 421, 330, 450)(302, 422, 337, 457)(303, 423, 351, 471)(304, 424, 326, 446)(306, 426, 340, 460)(307, 427, 353, 473)(308, 428, 324, 444)(312, 432, 331, 451)(313, 433, 357, 477)(316, 436, 334, 454)(318, 438, 333, 453)(322, 442, 336, 456)(329, 449, 358, 478)(343, 463, 359, 479)(344, 464, 354, 474)(346, 466, 356, 476)(347, 467, 352, 472)(349, 469, 355, 475)(350, 470, 360, 480)
	L = (1, 244)(2, 249)(3, 252)(4, 246)(5, 258)(6, 241)(7, 263)(8, 266)(9, 250)(10, 242)(11, 273)(12, 254)(13, 278)(14, 243)(15, 245)(16, 284)(17, 282)(18, 255)(19, 290)(20, 256)(21, 293)(22, 296)(23, 264)(24, 247)(25, 301)(26, 268)(27, 306)(28, 248)(29, 281)(30, 269)(31, 312)(32, 314)(33, 274)(34, 251)(35, 253)(36, 321)(37, 319)(38, 275)(39, 326)(40, 276)(41, 270)(42, 287)(43, 291)(44, 260)(45, 333)(46, 336)(47, 257)(48, 259)(49, 338)(50, 288)(51, 332)(52, 341)(53, 294)(54, 261)(55, 320)(56, 298)(57, 346)(58, 262)(59, 349)(60, 337)(61, 302)(62, 265)(63, 267)(64, 325)(65, 351)(66, 303)(67, 354)(68, 304)(69, 310)(70, 328)(71, 357)(72, 313)(73, 271)(74, 315)(75, 272)(76, 318)(77, 316)(78, 317)(79, 323)(80, 327)(81, 280)(82, 335)(83, 277)(84, 279)(85, 308)(86, 324)(87, 295)(88, 309)(89, 286)(90, 300)(91, 311)(92, 283)(93, 334)(94, 285)(95, 358)(96, 329)(97, 330)(98, 339)(99, 289)(100, 305)(101, 342)(102, 292)(103, 297)(104, 353)(105, 359)(106, 343)(107, 344)(108, 360)(109, 350)(110, 299)(111, 340)(112, 307)(113, 347)(114, 352)(115, 348)(116, 345)(117, 331)(118, 322)(119, 356)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2663
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^6, (Y3 * Y1 * Y2 * Y1 * Y3 * Y1)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y1 * Y3 * Y2)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 41, 161)(26, 146, 44, 164)(27, 147, 46, 166)(29, 149, 49, 169)(32, 152, 54, 174)(34, 154, 57, 177)(35, 155, 59, 179)(37, 157, 62, 182)(39, 159, 65, 185)(40, 160, 67, 187)(42, 162, 70, 190)(43, 163, 63, 183)(45, 165, 74, 194)(47, 167, 77, 197)(48, 168, 61, 181)(50, 170, 56, 176)(51, 171, 64, 184)(52, 172, 82, 202)(53, 173, 84, 204)(55, 175, 87, 207)(58, 178, 91, 211)(60, 180, 94, 214)(66, 186, 86, 206)(68, 188, 101, 221)(69, 189, 83, 203)(71, 191, 105, 225)(72, 192, 96, 216)(73, 193, 104, 224)(75, 195, 100, 220)(76, 196, 98, 218)(78, 198, 110, 230)(79, 199, 89, 209)(80, 200, 97, 217)(81, 201, 93, 213)(85, 205, 109, 229)(88, 208, 114, 234)(90, 210, 103, 223)(92, 212, 112, 232)(95, 215, 99, 219)(102, 222, 111, 231)(106, 226, 120, 240)(107, 227, 118, 238)(108, 228, 119, 239)(113, 233, 116, 236)(115, 235, 117, 237)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 279, 399)(265, 385, 282, 402)(267, 387, 285, 405)(268, 388, 287, 407)(270, 390, 290, 410)(271, 391, 292, 412)(273, 393, 295, 415)(275, 395, 298, 418)(276, 396, 300, 420)(278, 398, 303, 423)(280, 400, 306, 426)(281, 401, 308, 428)(283, 403, 311, 431)(284, 404, 312, 432)(286, 406, 315, 435)(288, 408, 318, 438)(289, 409, 319, 439)(291, 411, 321, 441)(293, 413, 323, 443)(294, 414, 325, 445)(296, 416, 328, 448)(297, 417, 329, 449)(299, 419, 332, 452)(301, 421, 335, 455)(302, 422, 336, 456)(304, 424, 338, 458)(305, 425, 333, 453)(307, 427, 339, 459)(309, 429, 342, 462)(310, 430, 343, 463)(313, 433, 346, 466)(314, 434, 347, 467)(316, 436, 322, 442)(317, 437, 345, 465)(320, 440, 351, 471)(324, 444, 350, 470)(326, 446, 353, 473)(327, 447, 344, 464)(330, 450, 355, 475)(331, 451, 348, 468)(334, 454, 354, 474)(337, 457, 356, 476)(340, 460, 357, 477)(341, 461, 358, 478)(349, 469, 359, 479)(352, 472, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 280)(24, 253)(25, 283)(26, 285)(27, 255)(28, 288)(29, 256)(30, 291)(31, 293)(32, 258)(33, 296)(34, 298)(35, 260)(36, 301)(37, 261)(38, 304)(39, 306)(40, 263)(41, 309)(42, 311)(43, 265)(44, 313)(45, 266)(46, 316)(47, 318)(48, 268)(49, 320)(50, 321)(51, 270)(52, 323)(53, 271)(54, 326)(55, 328)(56, 273)(57, 330)(58, 274)(59, 333)(60, 335)(61, 276)(62, 337)(63, 338)(64, 278)(65, 332)(66, 279)(67, 340)(68, 342)(69, 281)(70, 344)(71, 282)(72, 346)(73, 284)(74, 348)(75, 322)(76, 286)(77, 349)(78, 287)(79, 351)(80, 289)(81, 290)(82, 315)(83, 292)(84, 352)(85, 353)(86, 294)(87, 343)(88, 295)(89, 355)(90, 297)(91, 347)(92, 305)(93, 299)(94, 341)(95, 300)(96, 356)(97, 302)(98, 303)(99, 357)(100, 307)(101, 334)(102, 308)(103, 327)(104, 310)(105, 359)(106, 312)(107, 331)(108, 314)(109, 317)(110, 360)(111, 319)(112, 324)(113, 325)(114, 358)(115, 329)(116, 336)(117, 339)(118, 354)(119, 345)(120, 350)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2676
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^5, (Y3 * Y1 * Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1 * Y3)^5 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 40, 160)(26, 146, 43, 163)(27, 147, 45, 165)(29, 149, 48, 168)(32, 152, 52, 172)(34, 154, 55, 175)(35, 155, 57, 177)(37, 157, 60, 180)(39, 159, 63, 183)(41, 161, 66, 186)(42, 162, 61, 181)(44, 164, 70, 190)(46, 166, 68, 188)(47, 167, 59, 179)(49, 169, 54, 174)(50, 170, 62, 182)(51, 171, 77, 197)(53, 173, 80, 200)(56, 176, 84, 204)(58, 178, 82, 202)(64, 184, 93, 213)(65, 185, 95, 215)(67, 187, 98, 218)(69, 189, 97, 217)(71, 191, 92, 212)(72, 192, 90, 210)(73, 193, 103, 223)(74, 194, 104, 224)(75, 195, 89, 209)(76, 196, 86, 206)(78, 198, 99, 219)(79, 199, 108, 228)(81, 201, 109, 229)(83, 203, 96, 216)(85, 205, 106, 226)(87, 207, 91, 211)(88, 208, 111, 231)(94, 214, 105, 225)(100, 220, 116, 236)(101, 221, 115, 235)(102, 222, 114, 234)(107, 227, 112, 232)(110, 230, 119, 239)(113, 233, 118, 238)(117, 237, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 271, 391)(265, 385, 281, 401)(267, 387, 284, 404)(268, 388, 286, 406)(270, 390, 289, 409)(273, 393, 293, 413)(275, 395, 296, 416)(276, 396, 298, 418)(278, 398, 301, 421)(279, 399, 291, 411)(280, 400, 304, 424)(282, 402, 307, 427)(283, 403, 308, 428)(285, 405, 311, 431)(287, 407, 313, 433)(288, 408, 314, 434)(290, 410, 316, 436)(292, 412, 318, 438)(294, 414, 321, 441)(295, 415, 322, 442)(297, 417, 325, 445)(299, 419, 327, 447)(300, 420, 328, 448)(302, 422, 330, 450)(303, 423, 331, 451)(305, 425, 334, 454)(306, 426, 336, 456)(309, 429, 339, 459)(310, 430, 340, 460)(312, 432, 342, 462)(315, 435, 345, 465)(317, 437, 343, 463)(319, 439, 347, 467)(320, 440, 337, 457)(323, 443, 333, 453)(324, 444, 341, 461)(326, 446, 350, 470)(329, 449, 352, 472)(332, 452, 353, 473)(335, 455, 348, 468)(338, 458, 351, 471)(344, 464, 349, 469)(346, 466, 357, 477)(354, 474, 359, 479)(355, 475, 360, 480)(356, 476, 358, 478)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 279)(24, 253)(25, 282)(26, 284)(27, 255)(28, 287)(29, 256)(30, 290)(31, 291)(32, 258)(33, 294)(34, 296)(35, 260)(36, 299)(37, 261)(38, 302)(39, 263)(40, 305)(41, 307)(42, 265)(43, 309)(44, 266)(45, 312)(46, 313)(47, 268)(48, 315)(49, 316)(50, 270)(51, 271)(52, 319)(53, 321)(54, 273)(55, 323)(56, 274)(57, 326)(58, 327)(59, 276)(60, 329)(61, 330)(62, 278)(63, 332)(64, 334)(65, 280)(66, 337)(67, 281)(68, 339)(69, 283)(70, 341)(71, 342)(72, 285)(73, 286)(74, 345)(75, 288)(76, 289)(77, 346)(78, 347)(79, 292)(80, 336)(81, 293)(82, 333)(83, 295)(84, 340)(85, 350)(86, 297)(87, 298)(88, 352)(89, 300)(90, 301)(91, 353)(92, 303)(93, 322)(94, 304)(95, 354)(96, 320)(97, 306)(98, 355)(99, 308)(100, 324)(101, 310)(102, 311)(103, 357)(104, 358)(105, 314)(106, 317)(107, 318)(108, 359)(109, 356)(110, 325)(111, 360)(112, 328)(113, 331)(114, 335)(115, 338)(116, 349)(117, 343)(118, 344)(119, 348)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2675
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2, Y1 * Y3^-4 * Y1 * Y3 * Y1 * Y3, (Y3^-2 * Y1 * Y3^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 26, 146)(11, 131, 18, 138)(13, 133, 32, 152)(15, 135, 35, 155)(17, 137, 40, 160)(20, 140, 46, 166)(22, 142, 49, 169)(23, 143, 51, 171)(24, 144, 53, 173)(25, 145, 55, 175)(27, 147, 60, 180)(28, 148, 62, 182)(29, 149, 64, 184)(30, 150, 66, 186)(31, 151, 68, 188)(33, 153, 73, 193)(34, 154, 75, 195)(36, 156, 78, 198)(37, 157, 80, 200)(38, 158, 61, 181)(39, 159, 82, 202)(41, 161, 84, 204)(42, 162, 85, 205)(43, 163, 87, 207)(44, 164, 74, 194)(45, 165, 89, 209)(47, 167, 91, 211)(48, 168, 79, 199)(50, 170, 94, 214)(52, 172, 65, 185)(54, 174, 96, 216)(56, 176, 69, 189)(57, 177, 72, 192)(58, 178, 99, 219)(59, 179, 70, 190)(63, 183, 103, 223)(67, 187, 93, 213)(71, 191, 92, 212)(76, 196, 90, 210)(77, 197, 88, 208)(81, 201, 113, 233)(83, 203, 116, 236)(86, 206, 108, 228)(95, 215, 101, 221)(97, 217, 107, 227)(98, 218, 104, 224)(100, 220, 118, 238)(102, 222, 119, 239)(105, 225, 115, 235)(106, 226, 110, 230)(109, 229, 112, 232)(111, 231, 114, 234)(117, 237, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 263, 383)(252, 372, 269, 389)(253, 373, 268, 388)(254, 374, 264, 384)(255, 375, 267, 387)(256, 376, 277, 397)(259, 379, 283, 403)(260, 380, 282, 402)(261, 381, 278, 398)(262, 382, 281, 401)(265, 385, 292, 412)(266, 386, 297, 417)(270, 390, 302, 422)(271, 391, 305, 425)(272, 392, 310, 430)(273, 393, 303, 423)(274, 394, 294, 414)(275, 395, 298, 418)(276, 396, 301, 421)(279, 399, 309, 429)(280, 400, 299, 419)(284, 404, 325, 445)(285, 405, 296, 416)(286, 406, 312, 432)(287, 407, 326, 446)(288, 408, 321, 441)(289, 409, 323, 443)(290, 410, 293, 413)(291, 411, 333, 453)(295, 415, 313, 433)(300, 420, 308, 428)(304, 424, 336, 456)(306, 426, 345, 465)(307, 427, 342, 462)(311, 431, 343, 463)(314, 434, 344, 464)(315, 435, 335, 455)(316, 436, 337, 457)(317, 437, 320, 440)(318, 438, 340, 460)(319, 439, 341, 461)(322, 442, 331, 451)(324, 444, 329, 449)(327, 447, 353, 473)(328, 448, 357, 477)(330, 450, 348, 468)(332, 452, 354, 474)(334, 454, 352, 472)(338, 458, 349, 469)(339, 459, 351, 471)(346, 466, 359, 479)(347, 467, 356, 476)(350, 470, 360, 480)(355, 475, 358, 478)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 264)(10, 267)(11, 243)(12, 270)(13, 273)(14, 263)(15, 245)(16, 278)(17, 281)(18, 246)(19, 284)(20, 287)(21, 277)(22, 248)(23, 292)(24, 294)(25, 249)(26, 298)(27, 301)(28, 251)(29, 305)(30, 307)(31, 252)(32, 311)(33, 314)(34, 254)(35, 297)(36, 255)(37, 309)(38, 321)(39, 256)(40, 323)(41, 293)(42, 258)(43, 296)(44, 328)(45, 259)(46, 330)(47, 306)(48, 261)(49, 299)(50, 262)(51, 313)(52, 285)(53, 335)(54, 337)(55, 333)(56, 265)(57, 280)(58, 320)(59, 266)(60, 340)(61, 341)(62, 269)(63, 268)(64, 300)(65, 279)(66, 346)(67, 347)(68, 336)(69, 271)(70, 286)(71, 327)(72, 272)(73, 349)(74, 350)(75, 290)(76, 274)(77, 275)(78, 308)(79, 276)(80, 331)(81, 354)(82, 317)(83, 291)(84, 352)(85, 283)(86, 282)(87, 324)(88, 351)(89, 353)(90, 304)(91, 358)(92, 288)(93, 289)(94, 329)(95, 359)(96, 348)(97, 339)(98, 295)(99, 357)(100, 334)(101, 360)(102, 302)(103, 310)(104, 303)(105, 326)(106, 315)(107, 332)(108, 312)(109, 355)(110, 319)(111, 316)(112, 318)(113, 343)(114, 356)(115, 322)(116, 342)(117, 325)(118, 338)(119, 345)(120, 344)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2677
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^5, (Y3 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 40, 160)(26, 146, 43, 163)(27, 147, 45, 165)(29, 149, 48, 168)(32, 152, 52, 172)(34, 154, 55, 175)(35, 155, 57, 177)(37, 157, 60, 180)(39, 159, 63, 183)(41, 161, 66, 186)(42, 162, 61, 181)(44, 164, 70, 190)(46, 166, 68, 188)(47, 167, 59, 179)(49, 169, 54, 174)(50, 170, 62, 182)(51, 171, 77, 197)(53, 173, 80, 200)(56, 176, 84, 204)(58, 178, 82, 202)(64, 184, 93, 213)(65, 185, 95, 215)(67, 187, 98, 218)(69, 189, 97, 217)(71, 191, 92, 212)(72, 192, 90, 210)(73, 193, 103, 223)(74, 194, 104, 224)(75, 195, 89, 209)(76, 196, 86, 206)(78, 198, 108, 228)(79, 199, 109, 229)(81, 201, 110, 230)(83, 203, 100, 220)(85, 205, 107, 227)(87, 207, 94, 214)(88, 208, 113, 233)(91, 211, 105, 225)(96, 216, 116, 236)(99, 219, 119, 239)(101, 221, 118, 238)(102, 222, 117, 237)(106, 226, 114, 234)(111, 231, 115, 235)(112, 232, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 271, 391)(265, 385, 281, 401)(267, 387, 284, 404)(268, 388, 286, 406)(270, 390, 289, 409)(273, 393, 293, 413)(275, 395, 296, 416)(276, 396, 298, 418)(278, 398, 301, 421)(279, 399, 291, 411)(280, 400, 304, 424)(282, 402, 307, 427)(283, 403, 308, 428)(285, 405, 311, 431)(287, 407, 313, 433)(288, 408, 314, 434)(290, 410, 316, 436)(292, 412, 318, 438)(294, 414, 321, 441)(295, 415, 322, 442)(297, 417, 325, 445)(299, 419, 327, 447)(300, 420, 328, 448)(302, 422, 330, 450)(303, 423, 331, 451)(305, 425, 334, 454)(306, 426, 336, 456)(309, 429, 339, 459)(310, 430, 340, 460)(312, 432, 342, 462)(315, 435, 345, 465)(317, 437, 346, 466)(319, 439, 343, 463)(320, 440, 341, 461)(323, 443, 351, 471)(324, 444, 337, 457)(326, 446, 352, 472)(329, 449, 354, 474)(332, 452, 355, 475)(333, 453, 356, 476)(335, 455, 349, 469)(338, 458, 353, 473)(344, 464, 350, 470)(347, 467, 359, 479)(348, 468, 358, 478)(357, 477, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 279)(24, 253)(25, 282)(26, 284)(27, 255)(28, 287)(29, 256)(30, 290)(31, 291)(32, 258)(33, 294)(34, 296)(35, 260)(36, 299)(37, 261)(38, 302)(39, 263)(40, 305)(41, 307)(42, 265)(43, 309)(44, 266)(45, 312)(46, 313)(47, 268)(48, 315)(49, 316)(50, 270)(51, 271)(52, 319)(53, 321)(54, 273)(55, 323)(56, 274)(57, 326)(58, 327)(59, 276)(60, 329)(61, 330)(62, 278)(63, 332)(64, 334)(65, 280)(66, 337)(67, 281)(68, 339)(69, 283)(70, 341)(71, 342)(72, 285)(73, 286)(74, 345)(75, 288)(76, 289)(77, 347)(78, 343)(79, 292)(80, 340)(81, 293)(82, 351)(83, 295)(84, 336)(85, 352)(86, 297)(87, 298)(88, 354)(89, 300)(90, 301)(91, 355)(92, 303)(93, 344)(94, 304)(95, 357)(96, 324)(97, 306)(98, 358)(99, 308)(100, 320)(101, 310)(102, 311)(103, 318)(104, 333)(105, 314)(106, 359)(107, 317)(108, 353)(109, 360)(110, 356)(111, 322)(112, 325)(113, 348)(114, 328)(115, 331)(116, 350)(117, 335)(118, 338)(119, 346)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2674
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^6, (Y1^-2 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^5, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 32, 152, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 31, 151, 42, 162, 20, 140)(10, 130, 24, 144, 48, 168, 58, 178, 44, 164, 23, 143)(13, 133, 29, 149, 36, 156, 16, 136, 34, 154, 30, 150)(19, 139, 40, 160, 68, 188, 53, 173, 64, 184, 39, 159)(22, 142, 45, 165, 76, 196, 52, 172, 81, 201, 47, 167)(25, 145, 50, 170, 75, 195, 43, 163, 73, 193, 51, 171)(28, 148, 54, 174, 60, 180, 35, 155, 61, 181, 55, 175)(38, 158, 65, 185, 100, 220, 72, 192, 104, 224, 67, 187)(41, 161, 70, 190, 99, 219, 63, 183, 97, 217, 71, 191)(46, 166, 79, 199, 113, 233, 82, 202, 108, 228, 78, 198)(49, 169, 83, 203, 110, 230, 74, 194, 111, 231, 84, 204)(56, 176, 88, 208, 93, 213, 59, 179, 91, 211, 89, 209)(57, 177, 90, 210, 96, 216, 62, 182, 95, 215, 77, 197)(66, 186, 102, 222, 120, 240, 105, 225, 118, 238, 101, 221)(69, 189, 106, 226, 80, 200, 98, 218, 119, 239, 107, 227)(85, 205, 114, 234, 87, 207, 109, 229, 115, 235, 92, 212)(86, 206, 112, 232, 117, 237, 94, 214, 116, 236, 103, 223)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 283, 403)(263, 383, 286, 406)(264, 384, 289, 409)(266, 386, 292, 412)(267, 387, 293, 413)(269, 389, 296, 416)(270, 390, 297, 417)(273, 393, 298, 418)(274, 394, 299, 419)(276, 396, 302, 422)(277, 397, 303, 423)(279, 399, 306, 426)(280, 400, 309, 429)(282, 402, 312, 432)(284, 404, 314, 434)(285, 405, 317, 437)(287, 407, 320, 440)(288, 408, 322, 442)(290, 410, 325, 445)(291, 411, 305, 425)(294, 414, 326, 446)(295, 415, 327, 447)(300, 420, 332, 452)(301, 421, 334, 454)(304, 424, 338, 458)(307, 427, 343, 463)(308, 428, 345, 465)(310, 430, 348, 468)(311, 431, 331, 451)(313, 433, 349, 469)(315, 435, 344, 464)(316, 436, 347, 467)(318, 438, 352, 472)(319, 439, 337, 457)(321, 441, 336, 456)(323, 443, 341, 461)(324, 444, 333, 453)(328, 448, 339, 459)(329, 449, 350, 470)(330, 450, 342, 462)(335, 455, 358, 478)(340, 460, 357, 477)(346, 466, 355, 475)(351, 471, 360, 480)(353, 473, 356, 476)(354, 474, 359, 479)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 284)(22, 286)(23, 249)(24, 251)(25, 289)(26, 288)(27, 254)(28, 253)(29, 295)(30, 294)(31, 293)(32, 298)(33, 255)(34, 300)(35, 256)(36, 301)(37, 304)(38, 306)(39, 258)(40, 260)(41, 309)(42, 308)(43, 314)(44, 261)(45, 318)(46, 262)(47, 319)(48, 266)(49, 265)(50, 324)(51, 323)(52, 322)(53, 271)(54, 270)(55, 269)(56, 327)(57, 326)(58, 272)(59, 332)(60, 274)(61, 276)(62, 334)(63, 338)(64, 277)(65, 341)(66, 278)(67, 342)(68, 282)(69, 281)(70, 347)(71, 346)(72, 345)(73, 350)(74, 283)(75, 351)(76, 348)(77, 352)(78, 285)(79, 287)(80, 337)(81, 353)(82, 292)(83, 291)(84, 290)(85, 333)(86, 297)(87, 296)(88, 354)(89, 349)(90, 343)(91, 355)(92, 299)(93, 325)(94, 302)(95, 357)(96, 356)(97, 320)(98, 303)(99, 359)(100, 358)(101, 305)(102, 307)(103, 330)(104, 360)(105, 312)(106, 311)(107, 310)(108, 316)(109, 329)(110, 313)(111, 315)(112, 317)(113, 321)(114, 328)(115, 331)(116, 336)(117, 335)(118, 340)(119, 339)(120, 344)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2673
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^6, (Y1^-2 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^5, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-2 * Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 32, 152, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 31, 151, 42, 162, 20, 140)(10, 130, 24, 144, 48, 168, 58, 178, 44, 164, 23, 143)(13, 133, 29, 149, 36, 156, 16, 136, 34, 154, 30, 150)(19, 139, 40, 160, 68, 188, 53, 173, 64, 184, 39, 159)(22, 142, 45, 165, 76, 196, 52, 172, 81, 201, 47, 167)(25, 145, 50, 170, 75, 195, 43, 163, 73, 193, 51, 171)(28, 148, 54, 174, 60, 180, 35, 155, 61, 181, 55, 175)(38, 158, 65, 185, 100, 220, 72, 192, 104, 224, 67, 187)(41, 161, 70, 190, 99, 219, 63, 183, 97, 217, 71, 191)(46, 166, 79, 199, 113, 233, 82, 202, 111, 231, 78, 198)(49, 169, 83, 203, 108, 228, 74, 194, 109, 229, 84, 204)(56, 176, 88, 208, 93, 213, 59, 179, 91, 211, 89, 209)(57, 177, 90, 210, 96, 216, 62, 182, 95, 215, 77, 197)(66, 186, 102, 222, 120, 240, 105, 225, 118, 238, 101, 221)(69, 189, 106, 226, 110, 230, 98, 218, 114, 234, 80, 200)(85, 205, 115, 235, 92, 212, 107, 227, 117, 237, 87, 207)(86, 206, 112, 232, 103, 223, 94, 214, 119, 239, 116, 236)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 283, 403)(263, 383, 286, 406)(264, 384, 289, 409)(266, 386, 292, 412)(267, 387, 293, 413)(269, 389, 296, 416)(270, 390, 297, 417)(273, 393, 298, 418)(274, 394, 299, 419)(276, 396, 302, 422)(277, 397, 303, 423)(279, 399, 306, 426)(280, 400, 309, 429)(282, 402, 312, 432)(284, 404, 314, 434)(285, 405, 317, 437)(287, 407, 320, 440)(288, 408, 322, 442)(290, 410, 325, 445)(291, 411, 305, 425)(294, 414, 326, 446)(295, 415, 327, 447)(300, 420, 332, 452)(301, 421, 334, 454)(304, 424, 338, 458)(307, 427, 343, 463)(308, 428, 345, 465)(310, 430, 319, 439)(311, 431, 331, 451)(313, 433, 347, 467)(315, 435, 344, 464)(316, 436, 350, 470)(318, 438, 352, 472)(321, 441, 336, 456)(323, 443, 341, 461)(324, 444, 329, 449)(328, 448, 339, 459)(330, 450, 358, 478)(333, 453, 348, 468)(335, 455, 342, 462)(337, 457, 351, 471)(340, 460, 356, 476)(346, 466, 355, 475)(349, 469, 360, 480)(353, 473, 359, 479)(354, 474, 357, 477)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 284)(22, 286)(23, 249)(24, 251)(25, 289)(26, 288)(27, 254)(28, 253)(29, 295)(30, 294)(31, 293)(32, 298)(33, 255)(34, 300)(35, 256)(36, 301)(37, 304)(38, 306)(39, 258)(40, 260)(41, 309)(42, 308)(43, 314)(44, 261)(45, 318)(46, 262)(47, 319)(48, 266)(49, 265)(50, 324)(51, 323)(52, 322)(53, 271)(54, 270)(55, 269)(56, 327)(57, 326)(58, 272)(59, 332)(60, 274)(61, 276)(62, 334)(63, 338)(64, 277)(65, 341)(66, 278)(67, 342)(68, 282)(69, 281)(70, 320)(71, 346)(72, 345)(73, 348)(74, 283)(75, 349)(76, 351)(77, 352)(78, 285)(79, 287)(80, 310)(81, 353)(82, 292)(83, 291)(84, 290)(85, 329)(86, 297)(87, 296)(88, 357)(89, 325)(90, 356)(91, 355)(92, 299)(93, 347)(94, 302)(95, 343)(96, 359)(97, 350)(98, 303)(99, 354)(100, 358)(101, 305)(102, 307)(103, 335)(104, 360)(105, 312)(106, 311)(107, 333)(108, 313)(109, 315)(110, 337)(111, 316)(112, 317)(113, 321)(114, 339)(115, 331)(116, 330)(117, 328)(118, 340)(119, 336)(120, 344)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2671
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, Y1^2 * Y3 * Y1^-4 * Y3, (Y1^-2 * Y2 * Y1^-1)^2, (Y1^-2 * Y2 * Y3 * Y1^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 32, 152, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 31, 151, 42, 162, 20, 140)(10, 130, 24, 144, 48, 168, 58, 178, 44, 164, 23, 143)(13, 133, 29, 149, 36, 156, 16, 136, 34, 154, 30, 150)(19, 139, 40, 160, 68, 188, 53, 173, 64, 184, 39, 159)(22, 142, 45, 165, 76, 196, 52, 172, 81, 201, 47, 167)(25, 145, 50, 170, 75, 195, 43, 163, 73, 193, 51, 171)(28, 148, 54, 174, 60, 180, 35, 155, 61, 181, 55, 175)(38, 158, 65, 185, 101, 221, 72, 192, 86, 206, 67, 187)(41, 161, 70, 190, 100, 220, 63, 183, 98, 218, 71, 191)(46, 166, 79, 199, 113, 233, 82, 202, 111, 231, 78, 198)(49, 169, 83, 203, 108, 228, 74, 194, 109, 229, 84, 204)(56, 176, 89, 209, 95, 215, 59, 179, 93, 213, 90, 210)(57, 177, 91, 211, 77, 197, 62, 182, 97, 217, 92, 212)(66, 186, 103, 223, 115, 235, 105, 225, 120, 240, 102, 222)(69, 189, 106, 226, 110, 230, 99, 219, 114, 234, 80, 200)(85, 205, 116, 236, 94, 214, 107, 227, 119, 239, 88, 208)(87, 207, 117, 237, 104, 224, 96, 216, 112, 232, 118, 238)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 283, 403)(263, 383, 286, 406)(264, 384, 289, 409)(266, 386, 292, 412)(267, 387, 293, 413)(269, 389, 296, 416)(270, 390, 297, 417)(273, 393, 298, 418)(274, 394, 299, 419)(276, 396, 302, 422)(277, 397, 303, 423)(279, 399, 306, 426)(280, 400, 309, 429)(282, 402, 312, 432)(284, 404, 314, 434)(285, 405, 317, 437)(287, 407, 320, 440)(288, 408, 322, 442)(290, 410, 325, 445)(291, 411, 326, 446)(294, 414, 327, 447)(295, 415, 328, 448)(300, 420, 334, 454)(301, 421, 336, 456)(304, 424, 339, 459)(305, 425, 315, 435)(307, 427, 344, 464)(308, 428, 345, 465)(310, 430, 319, 439)(311, 431, 329, 449)(313, 433, 347, 467)(316, 436, 350, 470)(318, 438, 352, 472)(321, 441, 332, 452)(323, 443, 355, 475)(324, 444, 330, 450)(331, 451, 360, 480)(333, 453, 340, 460)(335, 455, 348, 468)(337, 457, 343, 463)(338, 458, 351, 471)(341, 461, 358, 478)(342, 462, 349, 469)(346, 466, 359, 479)(353, 473, 357, 477)(354, 474, 356, 476)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 284)(22, 286)(23, 249)(24, 251)(25, 289)(26, 288)(27, 254)(28, 253)(29, 295)(30, 294)(31, 293)(32, 298)(33, 255)(34, 300)(35, 256)(36, 301)(37, 304)(38, 306)(39, 258)(40, 260)(41, 309)(42, 308)(43, 314)(44, 261)(45, 318)(46, 262)(47, 319)(48, 266)(49, 265)(50, 324)(51, 323)(52, 322)(53, 271)(54, 270)(55, 269)(56, 328)(57, 327)(58, 272)(59, 334)(60, 274)(61, 276)(62, 336)(63, 339)(64, 277)(65, 342)(66, 278)(67, 343)(68, 282)(69, 281)(70, 320)(71, 346)(72, 345)(73, 348)(74, 283)(75, 349)(76, 351)(77, 352)(78, 285)(79, 287)(80, 310)(81, 353)(82, 292)(83, 291)(84, 290)(85, 330)(86, 355)(87, 297)(88, 296)(89, 359)(90, 325)(91, 358)(92, 357)(93, 356)(94, 299)(95, 347)(96, 302)(97, 344)(98, 350)(99, 303)(100, 354)(101, 360)(102, 305)(103, 307)(104, 337)(105, 312)(106, 311)(107, 335)(108, 313)(109, 315)(110, 338)(111, 316)(112, 317)(113, 321)(114, 340)(115, 326)(116, 333)(117, 332)(118, 331)(119, 329)(120, 341)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2670
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x A5 (small group id <120, 35>)
Aut   = C2 x C2 x A5 (small group id <240, 190>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, Y1^6, (Y1^-2 * Y2 * Y1^-1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 32, 152, 26, 146, 11, 131)(4, 124, 12, 132, 27, 147, 33, 153, 17, 137, 8, 128)(7, 127, 18, 138, 37, 157, 31, 151, 42, 162, 20, 140)(10, 130, 24, 144, 48, 168, 58, 178, 44, 164, 23, 143)(13, 133, 29, 149, 36, 156, 16, 136, 34, 154, 30, 150)(19, 139, 40, 160, 68, 188, 53, 173, 64, 184, 39, 159)(22, 142, 45, 165, 76, 196, 52, 172, 81, 201, 47, 167)(25, 145, 50, 170, 75, 195, 43, 163, 73, 193, 51, 171)(28, 148, 54, 174, 60, 180, 35, 155, 61, 181, 55, 175)(38, 158, 65, 185, 101, 221, 72, 192, 86, 206, 67, 187)(41, 161, 70, 190, 100, 220, 63, 183, 98, 218, 71, 191)(46, 166, 79, 199, 113, 233, 82, 202, 108, 228, 78, 198)(49, 169, 83, 203, 110, 230, 74, 194, 111, 231, 84, 204)(56, 176, 89, 209, 95, 215, 59, 179, 93, 213, 90, 210)(57, 177, 91, 211, 77, 197, 62, 182, 97, 217, 92, 212)(66, 186, 103, 223, 114, 234, 105, 225, 119, 239, 102, 222)(69, 189, 106, 226, 80, 200, 99, 219, 120, 240, 107, 227)(85, 205, 115, 235, 88, 208, 109, 229, 117, 237, 94, 214)(87, 207, 116, 236, 118, 238, 96, 216, 112, 232, 104, 224)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 268, 388)(254, 374, 271, 391)(255, 375, 272, 392)(257, 377, 275, 395)(258, 378, 278, 398)(260, 380, 281, 401)(261, 381, 283, 403)(263, 383, 286, 406)(264, 384, 289, 409)(266, 386, 292, 412)(267, 387, 293, 413)(269, 389, 296, 416)(270, 390, 297, 417)(273, 393, 298, 418)(274, 394, 299, 419)(276, 396, 302, 422)(277, 397, 303, 423)(279, 399, 306, 426)(280, 400, 309, 429)(282, 402, 312, 432)(284, 404, 314, 434)(285, 405, 317, 437)(287, 407, 320, 440)(288, 408, 322, 442)(290, 410, 325, 445)(291, 411, 326, 446)(294, 414, 327, 447)(295, 415, 328, 448)(300, 420, 334, 454)(301, 421, 336, 456)(304, 424, 339, 459)(305, 425, 315, 435)(307, 427, 344, 464)(308, 428, 345, 465)(310, 430, 348, 468)(311, 431, 329, 449)(313, 433, 349, 469)(316, 436, 347, 467)(318, 438, 352, 472)(319, 439, 338, 458)(321, 441, 332, 452)(323, 443, 354, 474)(324, 444, 335, 455)(330, 450, 350, 470)(331, 451, 343, 463)(333, 453, 340, 460)(337, 457, 359, 479)(341, 461, 358, 478)(342, 462, 351, 471)(346, 466, 355, 475)(353, 473, 356, 476)(357, 477, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 268)(14, 267)(15, 273)(16, 275)(17, 246)(18, 279)(19, 247)(20, 280)(21, 284)(22, 286)(23, 249)(24, 251)(25, 289)(26, 288)(27, 254)(28, 253)(29, 295)(30, 294)(31, 293)(32, 298)(33, 255)(34, 300)(35, 256)(36, 301)(37, 304)(38, 306)(39, 258)(40, 260)(41, 309)(42, 308)(43, 314)(44, 261)(45, 318)(46, 262)(47, 319)(48, 266)(49, 265)(50, 324)(51, 323)(52, 322)(53, 271)(54, 270)(55, 269)(56, 328)(57, 327)(58, 272)(59, 334)(60, 274)(61, 276)(62, 336)(63, 339)(64, 277)(65, 342)(66, 278)(67, 343)(68, 282)(69, 281)(70, 347)(71, 346)(72, 345)(73, 350)(74, 283)(75, 351)(76, 348)(77, 352)(78, 285)(79, 287)(80, 338)(81, 353)(82, 292)(83, 291)(84, 290)(85, 335)(86, 354)(87, 297)(88, 296)(89, 355)(90, 349)(91, 344)(92, 356)(93, 357)(94, 299)(95, 325)(96, 302)(97, 358)(98, 320)(99, 303)(100, 360)(101, 359)(102, 305)(103, 307)(104, 331)(105, 312)(106, 311)(107, 310)(108, 316)(109, 330)(110, 313)(111, 315)(112, 317)(113, 321)(114, 326)(115, 329)(116, 332)(117, 333)(118, 337)(119, 341)(120, 340)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2672
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2678 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^6, (Y3 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 121)(3, 127, 7, 123)(4, 129, 9, 124)(5, 131, 11, 125)(6, 133, 13, 126)(8, 132, 12, 128)(10, 134, 14, 130)(15, 145, 25, 135)(16, 146, 26, 136)(17, 147, 27, 137)(18, 149, 29, 138)(19, 150, 30, 139)(20, 152, 32, 140)(21, 153, 33, 141)(22, 154, 34, 142)(23, 156, 36, 143)(24, 157, 37, 144)(28, 155, 35, 148)(31, 158, 38, 151)(39, 175, 55, 159)(40, 176, 56, 160)(41, 177, 57, 161)(42, 178, 58, 162)(43, 179, 59, 163)(44, 181, 61, 164)(45, 182, 62, 165)(46, 183, 63, 166)(47, 184, 64, 167)(48, 185, 65, 168)(49, 186, 66, 169)(50, 187, 67, 170)(51, 188, 68, 171)(52, 190, 70, 172)(53, 191, 71, 173)(54, 192, 72, 174)(60, 189, 69, 180)(73, 209, 89, 193)(74, 210, 90, 194)(75, 211, 91, 195)(76, 212, 92, 196)(77, 213, 93, 197)(78, 214, 94, 198)(79, 215, 95, 199)(80, 216, 96, 200)(81, 217, 97, 201)(82, 218, 98, 202)(83, 219, 99, 203)(84, 220, 100, 204)(85, 221, 101, 205)(86, 222, 102, 206)(87, 223, 103, 207)(88, 224, 104, 208)(105, 232, 112, 225)(106, 233, 113, 226)(107, 234, 114, 227)(108, 235, 115, 228)(109, 236, 116, 229)(110, 239, 119, 230)(111, 238, 118, 231)(117, 240, 120, 237)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 59)(44, 62)(46, 60)(50, 68)(52, 71)(54, 69)(55, 73)(56, 75)(57, 74)(58, 77)(61, 79)(63, 78)(64, 81)(65, 83)(66, 82)(67, 85)(70, 87)(72, 86)(76, 93)(80, 94)(84, 101)(88, 102)(89, 105)(90, 107)(91, 106)(92, 109)(95, 108)(96, 110)(97, 112)(98, 114)(99, 113)(100, 116)(103, 115)(104, 117)(111, 119)(118, 120)(121, 124)(122, 126)(123, 128)(125, 132)(127, 136)(129, 135)(130, 139)(131, 141)(133, 140)(134, 144)(137, 148)(138, 150)(142, 155)(143, 157)(145, 160)(146, 159)(147, 162)(149, 164)(151, 166)(152, 168)(153, 167)(154, 170)(156, 172)(158, 174)(161, 178)(163, 180)(165, 183)(169, 187)(171, 189)(173, 192)(175, 194)(176, 193)(177, 196)(179, 198)(181, 195)(182, 200)(184, 202)(185, 201)(186, 204)(188, 206)(190, 203)(191, 208)(197, 214)(199, 216)(205, 222)(207, 224)(209, 226)(210, 225)(211, 228)(212, 227)(213, 230)(215, 231)(217, 233)(218, 232)(219, 235)(220, 234)(221, 237)(223, 238)(229, 239)(236, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2679
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.2679 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y2, Y2 * Y3 * Y1^-2 * Y2 * Y3, Y1^6, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1^2 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 122, 2, 126, 6, 138, 18, 137, 17, 125, 5, 121)(3, 129, 9, 147, 27, 160, 40, 139, 19, 131, 11, 123)(4, 132, 12, 152, 32, 161, 41, 140, 20, 134, 14, 124)(7, 141, 21, 135, 15, 155, 35, 157, 37, 143, 23, 127)(8, 144, 24, 136, 16, 156, 36, 158, 38, 146, 26, 128)(10, 142, 22, 159, 39, 154, 34, 133, 13, 145, 25, 130)(28, 167, 47, 150, 30, 171, 51, 174, 54, 168, 48, 148)(29, 169, 49, 151, 31, 172, 52, 153, 33, 170, 50, 149)(42, 175, 55, 164, 44, 179, 59, 173, 53, 176, 56, 162)(43, 177, 57, 165, 45, 180, 60, 166, 46, 178, 58, 163)(61, 193, 73, 183, 63, 197, 77, 186, 66, 194, 74, 181)(62, 195, 75, 184, 64, 198, 78, 185, 65, 196, 76, 182)(67, 199, 79, 189, 69, 203, 83, 192, 72, 200, 80, 187)(68, 201, 81, 190, 70, 204, 84, 191, 71, 202, 82, 188)(85, 217, 97, 207, 87, 221, 101, 210, 90, 218, 98, 205)(86, 219, 99, 208, 88, 222, 102, 209, 89, 220, 100, 206)(91, 223, 103, 213, 93, 227, 107, 216, 96, 224, 104, 211)(92, 225, 105, 214, 94, 228, 108, 215, 95, 226, 106, 212)(109, 237, 117, 231, 111, 240, 120, 234, 114, 235, 115, 229)(110, 238, 118, 232, 112, 239, 119, 233, 113, 236, 116, 230)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 53)(36, 45)(40, 54)(47, 61)(48, 63)(49, 65)(50, 62)(51, 66)(52, 64)(55, 67)(56, 69)(57, 71)(58, 68)(59, 72)(60, 70)(73, 85)(74, 87)(75, 89)(76, 86)(77, 90)(78, 88)(79, 91)(80, 93)(81, 95)(82, 92)(83, 96)(84, 94)(97, 109)(98, 111)(99, 113)(100, 110)(101, 114)(102, 112)(103, 115)(104, 117)(105, 119)(106, 116)(107, 120)(108, 118)(121, 124)(122, 128)(123, 130)(125, 136)(126, 140)(127, 142)(129, 149)(131, 151)(132, 148)(133, 147)(134, 150)(135, 145)(137, 152)(138, 158)(139, 159)(141, 163)(143, 165)(144, 162)(146, 164)(153, 160)(154, 157)(155, 166)(156, 173)(161, 174)(167, 182)(168, 184)(169, 181)(170, 183)(171, 185)(172, 186)(175, 188)(176, 190)(177, 187)(178, 189)(179, 191)(180, 192)(193, 206)(194, 208)(195, 205)(196, 207)(197, 209)(198, 210)(199, 212)(200, 214)(201, 211)(202, 213)(203, 215)(204, 216)(217, 230)(218, 232)(219, 229)(220, 231)(221, 233)(222, 234)(223, 236)(224, 238)(225, 235)(226, 237)(227, 239)(228, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2678
Transitivity :: VT+ AT
Graph:: bipartite
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2680 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, (Y3 * Y2)^10 ]
Map:: polytopal
	R = (1, 121, 4, 124)(2, 122, 6, 126)(3, 123, 8, 128)(5, 125, 12, 132)(7, 127, 16, 136)(9, 129, 18, 138)(10, 130, 19, 139)(11, 131, 21, 141)(13, 133, 23, 143)(14, 134, 24, 144)(15, 135, 26, 146)(17, 137, 28, 148)(20, 140, 33, 153)(22, 142, 35, 155)(25, 145, 40, 160)(27, 147, 42, 162)(29, 149, 44, 164)(30, 150, 45, 165)(31, 151, 46, 166)(32, 152, 48, 168)(34, 154, 50, 170)(36, 156, 52, 172)(37, 157, 53, 173)(38, 158, 54, 174)(39, 159, 55, 175)(41, 161, 57, 177)(43, 163, 59, 179)(47, 167, 64, 184)(49, 169, 66, 186)(51, 171, 68, 188)(56, 176, 73, 193)(58, 178, 75, 195)(60, 180, 77, 197)(61, 181, 78, 198)(62, 182, 79, 199)(63, 183, 80, 200)(65, 185, 81, 201)(67, 187, 83, 203)(69, 189, 85, 205)(70, 190, 86, 206)(71, 191, 87, 207)(72, 192, 88, 208)(74, 194, 89, 209)(76, 196, 91, 211)(82, 202, 97, 217)(84, 204, 99, 219)(90, 210, 105, 225)(92, 212, 107, 227)(93, 213, 108, 228)(94, 214, 109, 229)(95, 215, 110, 230)(96, 216, 111, 231)(98, 218, 112, 232)(100, 220, 114, 234)(101, 221, 115, 235)(102, 222, 116, 236)(103, 223, 117, 237)(104, 224, 118, 238)(106, 226, 119, 239)(113, 233, 120, 240)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 257)(250, 256)(252, 262)(254, 261)(255, 265)(258, 269)(259, 271)(260, 272)(263, 276)(264, 278)(266, 281)(267, 280)(268, 277)(270, 275)(273, 289)(274, 288)(279, 287)(282, 298)(283, 297)(284, 300)(285, 302)(286, 301)(290, 307)(291, 306)(292, 309)(293, 311)(294, 310)(295, 305)(296, 304)(299, 316)(303, 315)(308, 324)(312, 323)(313, 322)(314, 321)(317, 332)(318, 334)(319, 333)(320, 336)(325, 340)(326, 342)(327, 341)(328, 344)(329, 338)(330, 337)(331, 343)(335, 339)(345, 353)(346, 352)(347, 354)(348, 356)(349, 355)(350, 358)(351, 357)(359, 360)(361, 363)(362, 365)(364, 370)(366, 374)(367, 375)(368, 373)(369, 372)(371, 380)(376, 387)(377, 386)(378, 390)(379, 389)(381, 394)(382, 393)(383, 397)(384, 396)(385, 399)(388, 403)(391, 402)(392, 407)(395, 411)(398, 410)(400, 416)(401, 415)(404, 421)(405, 420)(406, 423)(408, 425)(409, 424)(412, 430)(413, 429)(414, 432)(417, 434)(418, 433)(419, 431)(422, 428)(426, 442)(427, 441)(435, 450)(436, 449)(437, 453)(438, 452)(439, 455)(440, 454)(443, 458)(444, 457)(445, 461)(446, 460)(447, 463)(448, 462)(451, 466)(456, 465)(459, 473)(464, 472)(467, 475)(468, 474)(469, 477)(470, 476)(471, 479)(478, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2683
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.2681 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 121, 4, 124, 14, 134, 34, 154, 17, 137, 5, 125)(2, 122, 7, 127, 23, 143, 44, 164, 26, 146, 8, 128)(3, 123, 10, 130, 18, 138, 37, 157, 29, 149, 11, 131)(6, 126, 19, 139, 9, 129, 27, 147, 39, 159, 20, 140)(12, 132, 30, 150, 15, 135, 35, 155, 47, 167, 31, 151)(13, 133, 32, 152, 16, 136, 36, 156, 38, 158, 33, 153)(21, 141, 40, 160, 24, 144, 45, 165, 54, 174, 41, 161)(22, 142, 42, 162, 25, 145, 46, 166, 28, 148, 43, 163)(48, 168, 61, 181, 50, 170, 65, 185, 53, 173, 62, 182)(49, 169, 63, 183, 51, 171, 66, 186, 52, 172, 64, 184)(55, 175, 67, 187, 57, 177, 71, 191, 60, 180, 68, 188)(56, 176, 69, 189, 58, 178, 72, 192, 59, 179, 70, 190)(73, 193, 85, 205, 75, 195, 89, 209, 78, 198, 86, 206)(74, 194, 87, 207, 76, 196, 90, 210, 77, 197, 88, 208)(79, 199, 91, 211, 81, 201, 95, 215, 84, 204, 92, 212)(80, 200, 93, 213, 82, 202, 96, 216, 83, 203, 94, 214)(97, 217, 109, 229, 99, 219, 113, 233, 102, 222, 110, 230)(98, 218, 111, 231, 100, 220, 114, 234, 101, 221, 112, 232)(103, 223, 115, 235, 105, 225, 119, 239, 108, 228, 116, 236)(104, 224, 117, 237, 106, 226, 120, 240, 107, 227, 118, 238)(241, 242)(243, 249)(244, 252)(245, 255)(246, 258)(247, 261)(248, 264)(250, 265)(251, 268)(253, 267)(254, 266)(256, 259)(257, 263)(260, 278)(262, 277)(269, 279)(270, 288)(271, 290)(272, 291)(273, 292)(274, 287)(275, 293)(276, 289)(280, 295)(281, 297)(282, 298)(283, 299)(284, 294)(285, 300)(286, 296)(301, 313)(302, 315)(303, 316)(304, 317)(305, 318)(306, 314)(307, 319)(308, 321)(309, 322)(310, 323)(311, 324)(312, 320)(325, 337)(326, 339)(327, 340)(328, 341)(329, 342)(330, 338)(331, 343)(332, 345)(333, 346)(334, 347)(335, 348)(336, 344)(349, 356)(350, 355)(351, 357)(352, 360)(353, 359)(354, 358)(361, 363)(362, 366)(364, 373)(365, 376)(367, 382)(368, 385)(369, 386)(370, 381)(371, 384)(372, 379)(374, 389)(375, 380)(377, 378)(383, 399)(387, 407)(388, 404)(390, 409)(391, 411)(392, 408)(393, 410)(394, 398)(395, 412)(396, 413)(397, 414)(400, 416)(401, 418)(402, 415)(403, 417)(405, 419)(406, 420)(421, 434)(422, 436)(423, 433)(424, 435)(425, 437)(426, 438)(427, 440)(428, 442)(429, 439)(430, 441)(431, 443)(432, 444)(445, 458)(446, 460)(447, 457)(448, 459)(449, 461)(450, 462)(451, 464)(452, 466)(453, 463)(454, 465)(455, 467)(456, 468)(469, 478)(470, 477)(471, 476)(472, 475)(473, 480)(474, 479)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2682
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2682 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, (Y3 * Y2)^10 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364)(2, 122, 242, 362, 6, 126, 246, 366)(3, 123, 243, 363, 8, 128, 248, 368)(5, 125, 245, 365, 12, 132, 252, 372)(7, 127, 247, 367, 16, 136, 256, 376)(9, 129, 249, 369, 18, 138, 258, 378)(10, 130, 250, 370, 19, 139, 259, 379)(11, 131, 251, 371, 21, 141, 261, 381)(13, 133, 253, 373, 23, 143, 263, 383)(14, 134, 254, 374, 24, 144, 264, 384)(15, 135, 255, 375, 26, 146, 266, 386)(17, 137, 257, 377, 28, 148, 268, 388)(20, 140, 260, 380, 33, 153, 273, 393)(22, 142, 262, 382, 35, 155, 275, 395)(25, 145, 265, 385, 40, 160, 280, 400)(27, 147, 267, 387, 42, 162, 282, 402)(29, 149, 269, 389, 44, 164, 284, 404)(30, 150, 270, 390, 45, 165, 285, 405)(31, 151, 271, 391, 46, 166, 286, 406)(32, 152, 272, 392, 48, 168, 288, 408)(34, 154, 274, 394, 50, 170, 290, 410)(36, 156, 276, 396, 52, 172, 292, 412)(37, 157, 277, 397, 53, 173, 293, 413)(38, 158, 278, 398, 54, 174, 294, 414)(39, 159, 279, 399, 55, 175, 295, 415)(41, 161, 281, 401, 57, 177, 297, 417)(43, 163, 283, 403, 59, 179, 299, 419)(47, 167, 287, 407, 64, 184, 304, 424)(49, 169, 289, 409, 66, 186, 306, 426)(51, 171, 291, 411, 68, 188, 308, 428)(56, 176, 296, 416, 73, 193, 313, 433)(58, 178, 298, 418, 75, 195, 315, 435)(60, 180, 300, 420, 77, 197, 317, 437)(61, 181, 301, 421, 78, 198, 318, 438)(62, 182, 302, 422, 79, 199, 319, 439)(63, 183, 303, 423, 80, 200, 320, 440)(65, 185, 305, 425, 81, 201, 321, 441)(67, 187, 307, 427, 83, 203, 323, 443)(69, 189, 309, 429, 85, 205, 325, 445)(70, 190, 310, 430, 86, 206, 326, 446)(71, 191, 311, 431, 87, 207, 327, 447)(72, 192, 312, 432, 88, 208, 328, 448)(74, 194, 314, 434, 89, 209, 329, 449)(76, 196, 316, 436, 91, 211, 331, 451)(82, 202, 322, 442, 97, 217, 337, 457)(84, 204, 324, 444, 99, 219, 339, 459)(90, 210, 330, 450, 105, 225, 345, 465)(92, 212, 332, 452, 107, 227, 347, 467)(93, 213, 333, 453, 108, 228, 348, 468)(94, 214, 334, 454, 109, 229, 349, 469)(95, 215, 335, 455, 110, 230, 350, 470)(96, 216, 336, 456, 111, 231, 351, 471)(98, 218, 338, 458, 112, 232, 352, 472)(100, 220, 340, 460, 114, 234, 354, 474)(101, 221, 341, 461, 115, 235, 355, 475)(102, 222, 342, 462, 116, 236, 356, 476)(103, 223, 343, 463, 117, 237, 357, 477)(104, 224, 344, 464, 118, 238, 358, 478)(106, 226, 346, 466, 119, 239, 359, 479)(113, 233, 353, 473, 120, 240, 360, 480)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 136)(11, 125)(12, 142)(13, 126)(14, 141)(15, 145)(16, 130)(17, 128)(18, 149)(19, 151)(20, 152)(21, 134)(22, 132)(23, 156)(24, 158)(25, 135)(26, 161)(27, 160)(28, 157)(29, 138)(30, 155)(31, 139)(32, 140)(33, 169)(34, 168)(35, 150)(36, 143)(37, 148)(38, 144)(39, 167)(40, 147)(41, 146)(42, 178)(43, 177)(44, 180)(45, 182)(46, 181)(47, 159)(48, 154)(49, 153)(50, 187)(51, 186)(52, 189)(53, 191)(54, 190)(55, 185)(56, 184)(57, 163)(58, 162)(59, 196)(60, 164)(61, 166)(62, 165)(63, 195)(64, 176)(65, 175)(66, 171)(67, 170)(68, 204)(69, 172)(70, 174)(71, 173)(72, 203)(73, 202)(74, 201)(75, 183)(76, 179)(77, 212)(78, 214)(79, 213)(80, 216)(81, 194)(82, 193)(83, 192)(84, 188)(85, 220)(86, 222)(87, 221)(88, 224)(89, 218)(90, 217)(91, 223)(92, 197)(93, 199)(94, 198)(95, 219)(96, 200)(97, 210)(98, 209)(99, 215)(100, 205)(101, 207)(102, 206)(103, 211)(104, 208)(105, 233)(106, 232)(107, 234)(108, 236)(109, 235)(110, 238)(111, 237)(112, 226)(113, 225)(114, 227)(115, 229)(116, 228)(117, 231)(118, 230)(119, 240)(120, 239)(241, 363)(242, 365)(243, 361)(244, 370)(245, 362)(246, 374)(247, 375)(248, 373)(249, 372)(250, 364)(251, 380)(252, 369)(253, 368)(254, 366)(255, 367)(256, 387)(257, 386)(258, 390)(259, 389)(260, 371)(261, 394)(262, 393)(263, 397)(264, 396)(265, 399)(266, 377)(267, 376)(268, 403)(269, 379)(270, 378)(271, 402)(272, 407)(273, 382)(274, 381)(275, 411)(276, 384)(277, 383)(278, 410)(279, 385)(280, 416)(281, 415)(282, 391)(283, 388)(284, 421)(285, 420)(286, 423)(287, 392)(288, 425)(289, 424)(290, 398)(291, 395)(292, 430)(293, 429)(294, 432)(295, 401)(296, 400)(297, 434)(298, 433)(299, 431)(300, 405)(301, 404)(302, 428)(303, 406)(304, 409)(305, 408)(306, 442)(307, 441)(308, 422)(309, 413)(310, 412)(311, 419)(312, 414)(313, 418)(314, 417)(315, 450)(316, 449)(317, 453)(318, 452)(319, 455)(320, 454)(321, 427)(322, 426)(323, 458)(324, 457)(325, 461)(326, 460)(327, 463)(328, 462)(329, 436)(330, 435)(331, 466)(332, 438)(333, 437)(334, 440)(335, 439)(336, 465)(337, 444)(338, 443)(339, 473)(340, 446)(341, 445)(342, 448)(343, 447)(344, 472)(345, 456)(346, 451)(347, 475)(348, 474)(349, 477)(350, 476)(351, 479)(352, 464)(353, 459)(354, 468)(355, 467)(356, 470)(357, 469)(358, 480)(359, 471)(360, 478)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2681
Transitivity :: VT+
Graph:: bipartite
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.2683 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = D24 x D10 (small group id <240, 136>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3^6, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 121, 241, 361, 4, 124, 244, 364, 14, 134, 254, 374, 34, 154, 274, 394, 17, 137, 257, 377, 5, 125, 245, 365)(2, 122, 242, 362, 7, 127, 247, 367, 23, 143, 263, 383, 44, 164, 284, 404, 26, 146, 266, 386, 8, 128, 248, 368)(3, 123, 243, 363, 10, 130, 250, 370, 18, 138, 258, 378, 37, 157, 277, 397, 29, 149, 269, 389, 11, 131, 251, 371)(6, 126, 246, 366, 19, 139, 259, 379, 9, 129, 249, 369, 27, 147, 267, 387, 39, 159, 279, 399, 20, 140, 260, 380)(12, 132, 252, 372, 30, 150, 270, 390, 15, 135, 255, 375, 35, 155, 275, 395, 47, 167, 287, 407, 31, 151, 271, 391)(13, 133, 253, 373, 32, 152, 272, 392, 16, 136, 256, 376, 36, 156, 276, 396, 38, 158, 278, 398, 33, 153, 273, 393)(21, 141, 261, 381, 40, 160, 280, 400, 24, 144, 264, 384, 45, 165, 285, 405, 54, 174, 294, 414, 41, 161, 281, 401)(22, 142, 262, 382, 42, 162, 282, 402, 25, 145, 265, 385, 46, 166, 286, 406, 28, 148, 268, 388, 43, 163, 283, 403)(48, 168, 288, 408, 61, 181, 301, 421, 50, 170, 290, 410, 65, 185, 305, 425, 53, 173, 293, 413, 62, 182, 302, 422)(49, 169, 289, 409, 63, 183, 303, 423, 51, 171, 291, 411, 66, 186, 306, 426, 52, 172, 292, 412, 64, 184, 304, 424)(55, 175, 295, 415, 67, 187, 307, 427, 57, 177, 297, 417, 71, 191, 311, 431, 60, 180, 300, 420, 68, 188, 308, 428)(56, 176, 296, 416, 69, 189, 309, 429, 58, 178, 298, 418, 72, 192, 312, 432, 59, 179, 299, 419, 70, 190, 310, 430)(73, 193, 313, 433, 85, 205, 325, 445, 75, 195, 315, 435, 89, 209, 329, 449, 78, 198, 318, 438, 86, 206, 326, 446)(74, 194, 314, 434, 87, 207, 327, 447, 76, 196, 316, 436, 90, 210, 330, 450, 77, 197, 317, 437, 88, 208, 328, 448)(79, 199, 319, 439, 91, 211, 331, 451, 81, 201, 321, 441, 95, 215, 335, 455, 84, 204, 324, 444, 92, 212, 332, 452)(80, 200, 320, 440, 93, 213, 333, 453, 82, 202, 322, 442, 96, 216, 336, 456, 83, 203, 323, 443, 94, 214, 334, 454)(97, 217, 337, 457, 109, 229, 349, 469, 99, 219, 339, 459, 113, 233, 353, 473, 102, 222, 342, 462, 110, 230, 350, 470)(98, 218, 338, 458, 111, 231, 351, 471, 100, 220, 340, 460, 114, 234, 354, 474, 101, 221, 341, 461, 112, 232, 352, 472)(103, 223, 343, 463, 115, 235, 355, 475, 105, 225, 345, 465, 119, 239, 359, 479, 108, 228, 348, 468, 116, 236, 356, 476)(104, 224, 344, 464, 117, 237, 357, 477, 106, 226, 346, 466, 120, 240, 360, 480, 107, 227, 347, 467, 118, 238, 358, 478)
	L = (1, 122)(2, 121)(3, 129)(4, 132)(5, 135)(6, 138)(7, 141)(8, 144)(9, 123)(10, 145)(11, 148)(12, 124)(13, 147)(14, 146)(15, 125)(16, 139)(17, 143)(18, 126)(19, 136)(20, 158)(21, 127)(22, 157)(23, 137)(24, 128)(25, 130)(26, 134)(27, 133)(28, 131)(29, 159)(30, 168)(31, 170)(32, 171)(33, 172)(34, 167)(35, 173)(36, 169)(37, 142)(38, 140)(39, 149)(40, 175)(41, 177)(42, 178)(43, 179)(44, 174)(45, 180)(46, 176)(47, 154)(48, 150)(49, 156)(50, 151)(51, 152)(52, 153)(53, 155)(54, 164)(55, 160)(56, 166)(57, 161)(58, 162)(59, 163)(60, 165)(61, 193)(62, 195)(63, 196)(64, 197)(65, 198)(66, 194)(67, 199)(68, 201)(69, 202)(70, 203)(71, 204)(72, 200)(73, 181)(74, 186)(75, 182)(76, 183)(77, 184)(78, 185)(79, 187)(80, 192)(81, 188)(82, 189)(83, 190)(84, 191)(85, 217)(86, 219)(87, 220)(88, 221)(89, 222)(90, 218)(91, 223)(92, 225)(93, 226)(94, 227)(95, 228)(96, 224)(97, 205)(98, 210)(99, 206)(100, 207)(101, 208)(102, 209)(103, 211)(104, 216)(105, 212)(106, 213)(107, 214)(108, 215)(109, 236)(110, 235)(111, 237)(112, 240)(113, 239)(114, 238)(115, 230)(116, 229)(117, 231)(118, 234)(119, 233)(120, 232)(241, 363)(242, 366)(243, 361)(244, 373)(245, 376)(246, 362)(247, 382)(248, 385)(249, 386)(250, 381)(251, 384)(252, 379)(253, 364)(254, 389)(255, 380)(256, 365)(257, 378)(258, 377)(259, 372)(260, 375)(261, 370)(262, 367)(263, 399)(264, 371)(265, 368)(266, 369)(267, 407)(268, 404)(269, 374)(270, 409)(271, 411)(272, 408)(273, 410)(274, 398)(275, 412)(276, 413)(277, 414)(278, 394)(279, 383)(280, 416)(281, 418)(282, 415)(283, 417)(284, 388)(285, 419)(286, 420)(287, 387)(288, 392)(289, 390)(290, 393)(291, 391)(292, 395)(293, 396)(294, 397)(295, 402)(296, 400)(297, 403)(298, 401)(299, 405)(300, 406)(301, 434)(302, 436)(303, 433)(304, 435)(305, 437)(306, 438)(307, 440)(308, 442)(309, 439)(310, 441)(311, 443)(312, 444)(313, 423)(314, 421)(315, 424)(316, 422)(317, 425)(318, 426)(319, 429)(320, 427)(321, 430)(322, 428)(323, 431)(324, 432)(325, 458)(326, 460)(327, 457)(328, 459)(329, 461)(330, 462)(331, 464)(332, 466)(333, 463)(334, 465)(335, 467)(336, 468)(337, 447)(338, 445)(339, 448)(340, 446)(341, 449)(342, 450)(343, 453)(344, 451)(345, 454)(346, 452)(347, 455)(348, 456)(349, 478)(350, 477)(351, 476)(352, 475)(353, 480)(354, 479)(355, 472)(356, 471)(357, 470)(358, 469)(359, 474)(360, 473)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2680
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.2684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = C2 x C2 x S3 x D10 (small group id <240, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^6, (Y2 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 21, 141)(16, 136, 19, 139)(17, 137, 28, 148)(18, 138, 29, 149)(22, 142, 34, 154)(24, 144, 37, 157)(25, 145, 36, 156)(26, 146, 39, 159)(27, 147, 40, 160)(30, 150, 44, 164)(31, 151, 43, 163)(32, 152, 46, 166)(33, 153, 47, 167)(35, 155, 49, 169)(38, 158, 53, 173)(41, 161, 48, 168)(42, 162, 57, 177)(45, 165, 61, 181)(50, 170, 67, 187)(51, 171, 66, 186)(52, 172, 63, 183)(54, 174, 64, 184)(55, 175, 60, 180)(56, 176, 62, 182)(58, 178, 74, 194)(59, 179, 73, 193)(65, 185, 79, 199)(68, 188, 83, 203)(69, 189, 82, 202)(70, 190, 78, 198)(71, 191, 77, 197)(72, 192, 85, 205)(75, 195, 89, 209)(76, 196, 88, 208)(80, 200, 93, 213)(81, 201, 92, 212)(84, 204, 96, 216)(86, 206, 99, 219)(87, 207, 98, 218)(90, 210, 102, 222)(91, 211, 97, 217)(94, 214, 106, 226)(95, 215, 105, 225)(100, 220, 111, 231)(101, 221, 110, 230)(103, 223, 109, 229)(104, 224, 108, 228)(107, 227, 115, 235)(112, 232, 118, 238)(113, 233, 117, 237)(114, 234, 116, 236)(119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 265, 385)(257, 377, 267, 387)(259, 379, 270, 390)(260, 380, 271, 391)(262, 382, 273, 393)(263, 383, 275, 395)(266, 386, 278, 398)(268, 388, 279, 399)(269, 389, 282, 402)(272, 392, 285, 405)(274, 394, 286, 406)(276, 396, 290, 410)(277, 397, 291, 411)(280, 400, 295, 415)(281, 401, 294, 414)(283, 403, 298, 418)(284, 404, 299, 419)(287, 407, 303, 423)(288, 408, 302, 422)(289, 409, 305, 425)(292, 412, 308, 428)(293, 413, 309, 429)(296, 416, 311, 431)(297, 417, 312, 432)(300, 420, 315, 435)(301, 421, 316, 436)(304, 424, 318, 438)(306, 426, 320, 440)(307, 427, 321, 441)(310, 430, 324, 444)(313, 433, 326, 446)(314, 434, 327, 447)(317, 437, 330, 450)(319, 439, 331, 451)(322, 442, 334, 454)(323, 443, 335, 455)(325, 445, 337, 457)(328, 448, 340, 460)(329, 449, 341, 461)(332, 452, 343, 463)(333, 453, 344, 464)(336, 456, 347, 467)(338, 458, 348, 468)(339, 459, 349, 469)(342, 462, 352, 472)(345, 465, 353, 473)(346, 466, 354, 474)(350, 470, 356, 476)(351, 471, 357, 477)(355, 475, 359, 479)(358, 478, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 266)(16, 267)(17, 249)(18, 270)(19, 250)(20, 272)(21, 273)(22, 252)(23, 276)(24, 253)(25, 278)(26, 255)(27, 256)(28, 281)(29, 283)(30, 258)(31, 285)(32, 260)(33, 261)(34, 288)(35, 290)(36, 263)(37, 292)(38, 265)(39, 294)(40, 296)(41, 268)(42, 298)(43, 269)(44, 300)(45, 271)(46, 302)(47, 304)(48, 274)(49, 306)(50, 275)(51, 308)(52, 277)(53, 310)(54, 279)(55, 311)(56, 280)(57, 313)(58, 282)(59, 315)(60, 284)(61, 317)(62, 286)(63, 318)(64, 287)(65, 320)(66, 289)(67, 322)(68, 291)(69, 324)(70, 293)(71, 295)(72, 326)(73, 297)(74, 328)(75, 299)(76, 330)(77, 301)(78, 303)(79, 332)(80, 305)(81, 334)(82, 307)(83, 336)(84, 309)(85, 338)(86, 312)(87, 340)(88, 314)(89, 342)(90, 316)(91, 343)(92, 319)(93, 345)(94, 321)(95, 347)(96, 323)(97, 348)(98, 325)(99, 350)(100, 327)(101, 352)(102, 329)(103, 331)(104, 353)(105, 333)(106, 355)(107, 335)(108, 337)(109, 356)(110, 339)(111, 358)(112, 341)(113, 344)(114, 359)(115, 346)(116, 349)(117, 360)(118, 351)(119, 354)(120, 357)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2688
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = C2 x C2 x S3 x D10 (small group id <240, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^10, Y3^3 * Y1 * Y3^-1 * Y2 * Y3^3 * Y1 * Y2 * Y3, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 9, 129)(4, 124, 12, 132)(5, 125, 14, 134)(6, 126, 16, 136)(7, 127, 19, 139)(8, 128, 21, 141)(10, 130, 24, 144)(11, 131, 26, 146)(13, 133, 22, 142)(15, 135, 20, 140)(17, 137, 34, 154)(18, 138, 36, 156)(23, 143, 37, 157)(25, 145, 43, 163)(27, 147, 33, 153)(28, 148, 50, 170)(29, 149, 51, 171)(30, 150, 52, 172)(31, 151, 54, 174)(32, 152, 44, 164)(35, 155, 56, 176)(38, 158, 63, 183)(39, 159, 64, 184)(40, 160, 65, 185)(41, 161, 67, 187)(42, 162, 57, 177)(45, 165, 71, 191)(46, 166, 72, 192)(47, 167, 73, 193)(48, 168, 75, 195)(49, 169, 76, 196)(53, 173, 68, 188)(55, 175, 66, 186)(58, 178, 86, 206)(59, 179, 87, 207)(60, 180, 88, 208)(61, 181, 90, 210)(62, 182, 91, 211)(69, 189, 92, 212)(70, 190, 99, 219)(74, 194, 89, 209)(77, 197, 84, 204)(78, 198, 94, 214)(79, 199, 93, 213)(80, 200, 98, 218)(81, 201, 106, 226)(82, 202, 100, 220)(83, 203, 95, 215)(85, 205, 108, 228)(96, 216, 115, 235)(97, 217, 109, 229)(101, 221, 114, 234)(102, 222, 111, 231)(103, 223, 116, 236)(104, 224, 117, 237)(105, 225, 110, 230)(107, 227, 112, 232)(113, 233, 119, 239)(118, 238, 120, 240)(241, 361, 243, 363)(242, 362, 246, 366)(244, 364, 251, 371)(245, 365, 250, 370)(247, 367, 258, 378)(248, 368, 257, 377)(249, 369, 260, 380)(252, 372, 267, 387)(253, 373, 256, 376)(254, 374, 266, 386)(255, 375, 265, 385)(259, 379, 277, 397)(261, 381, 276, 396)(262, 382, 275, 395)(263, 383, 280, 400)(264, 384, 284, 404)(268, 388, 288, 408)(269, 389, 289, 409)(270, 390, 273, 393)(271, 391, 285, 405)(272, 392, 287, 407)(274, 394, 297, 417)(278, 398, 301, 421)(279, 399, 302, 422)(281, 401, 298, 418)(282, 402, 300, 420)(283, 403, 306, 426)(286, 406, 310, 430)(290, 410, 311, 431)(291, 411, 315, 435)(292, 412, 317, 437)(293, 413, 296, 416)(294, 414, 312, 432)(295, 415, 314, 434)(299, 419, 325, 445)(303, 423, 326, 446)(304, 424, 330, 450)(305, 425, 332, 452)(307, 427, 327, 447)(308, 428, 329, 449)(309, 429, 337, 457)(313, 433, 340, 460)(316, 436, 346, 466)(318, 438, 342, 462)(319, 439, 341, 461)(320, 440, 345, 465)(321, 441, 344, 464)(322, 442, 324, 444)(323, 443, 343, 463)(328, 448, 349, 469)(331, 451, 355, 475)(333, 453, 351, 471)(334, 454, 350, 470)(335, 455, 354, 474)(336, 456, 353, 473)(338, 458, 352, 472)(339, 459, 357, 477)(347, 467, 358, 478)(348, 468, 359, 479)(356, 476, 360, 480)
	L = (1, 244)(2, 247)(3, 250)(4, 253)(5, 241)(6, 257)(7, 260)(8, 242)(9, 258)(10, 265)(11, 243)(12, 268)(13, 270)(14, 271)(15, 245)(16, 251)(17, 275)(18, 246)(19, 278)(20, 280)(21, 281)(22, 248)(23, 249)(24, 285)(25, 287)(26, 288)(27, 289)(28, 254)(29, 252)(30, 293)(31, 284)(32, 255)(33, 256)(34, 298)(35, 300)(36, 301)(37, 302)(38, 261)(39, 259)(40, 306)(41, 297)(42, 262)(43, 263)(44, 310)(45, 266)(46, 264)(47, 314)(48, 267)(49, 317)(50, 318)(51, 320)(52, 269)(53, 322)(54, 319)(55, 272)(56, 273)(57, 325)(58, 276)(59, 274)(60, 329)(61, 277)(62, 332)(63, 333)(64, 335)(65, 279)(66, 337)(67, 334)(68, 282)(69, 283)(70, 340)(71, 341)(72, 343)(73, 286)(74, 324)(75, 342)(76, 345)(77, 344)(78, 291)(79, 290)(80, 346)(81, 292)(82, 295)(83, 294)(84, 296)(85, 349)(86, 350)(87, 352)(88, 299)(89, 309)(90, 351)(91, 354)(92, 353)(93, 304)(94, 303)(95, 355)(96, 305)(97, 308)(98, 307)(99, 323)(100, 321)(101, 312)(102, 311)(103, 357)(104, 313)(105, 315)(106, 358)(107, 316)(108, 338)(109, 336)(110, 327)(111, 326)(112, 359)(113, 328)(114, 330)(115, 360)(116, 331)(117, 347)(118, 339)(119, 356)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2689
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2686 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = C2 x C2 x S3 x D10 (small group id <240, 202>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 10, 130)(6, 126, 12, 132)(8, 128, 15, 135)(11, 131, 20, 140)(13, 133, 23, 143)(14, 134, 25, 145)(16, 136, 28, 148)(17, 137, 30, 150)(18, 138, 31, 151)(19, 139, 33, 153)(21, 141, 36, 156)(22, 142, 38, 158)(24, 144, 41, 161)(26, 146, 44, 164)(27, 147, 37, 157)(29, 149, 35, 155)(32, 152, 50, 170)(34, 154, 53, 173)(39, 159, 57, 177)(40, 160, 55, 175)(42, 162, 51, 171)(43, 163, 56, 176)(45, 165, 60, 180)(46, 166, 49, 169)(47, 167, 52, 172)(48, 168, 64, 184)(54, 174, 67, 187)(58, 178, 73, 193)(59, 179, 74, 194)(61, 181, 72, 192)(62, 182, 70, 190)(63, 183, 69, 189)(65, 185, 79, 199)(66, 186, 80, 200)(68, 188, 78, 198)(71, 191, 83, 203)(75, 195, 86, 206)(76, 196, 88, 208)(77, 197, 89, 209)(81, 201, 92, 212)(82, 202, 94, 214)(84, 204, 97, 217)(85, 205, 98, 218)(87, 207, 96, 216)(90, 210, 103, 223)(91, 211, 104, 224)(93, 213, 102, 222)(95, 215, 107, 227)(99, 219, 110, 230)(100, 220, 112, 232)(101, 221, 113, 233)(105, 225, 116, 236)(106, 226, 118, 238)(108, 228, 115, 235)(109, 229, 114, 234)(111, 231, 117, 237)(119, 239, 120, 240)(241, 361, 243, 363)(242, 362, 245, 365)(244, 364, 248, 368)(246, 366, 251, 371)(247, 367, 253, 373)(249, 369, 256, 376)(250, 370, 258, 378)(252, 372, 261, 381)(254, 374, 264, 384)(255, 375, 266, 386)(257, 377, 269, 389)(259, 379, 272, 392)(260, 380, 274, 394)(262, 382, 277, 397)(263, 383, 279, 399)(265, 385, 282, 402)(267, 387, 285, 405)(268, 388, 286, 406)(270, 390, 283, 403)(271, 391, 288, 408)(273, 393, 291, 411)(275, 395, 294, 414)(276, 396, 295, 415)(278, 398, 292, 412)(280, 400, 298, 418)(281, 401, 299, 419)(284, 404, 301, 421)(287, 407, 303, 423)(289, 409, 305, 425)(290, 410, 306, 426)(293, 413, 308, 428)(296, 416, 310, 430)(297, 417, 311, 431)(300, 420, 315, 435)(302, 422, 316, 436)(304, 424, 317, 437)(307, 427, 321, 441)(309, 429, 322, 442)(312, 432, 324, 444)(313, 433, 325, 445)(314, 434, 327, 447)(318, 438, 330, 450)(319, 439, 331, 451)(320, 440, 333, 453)(323, 443, 335, 455)(326, 446, 339, 459)(328, 448, 340, 460)(329, 449, 341, 461)(332, 452, 345, 465)(334, 454, 346, 466)(336, 456, 348, 468)(337, 457, 349, 469)(338, 458, 351, 471)(342, 462, 354, 474)(343, 463, 355, 475)(344, 464, 357, 477)(347, 467, 358, 478)(350, 470, 359, 479)(352, 472, 353, 473)(356, 476, 360, 480)
	L = (1, 244)(2, 246)(3, 248)(4, 241)(5, 251)(6, 242)(7, 254)(8, 243)(9, 257)(10, 259)(11, 245)(12, 262)(13, 264)(14, 247)(15, 267)(16, 269)(17, 249)(18, 272)(19, 250)(20, 275)(21, 277)(22, 252)(23, 280)(24, 253)(25, 283)(26, 285)(27, 255)(28, 287)(29, 256)(30, 282)(31, 289)(32, 258)(33, 292)(34, 294)(35, 260)(36, 296)(37, 261)(38, 291)(39, 298)(40, 263)(41, 300)(42, 270)(43, 265)(44, 302)(45, 266)(46, 303)(47, 268)(48, 305)(49, 271)(50, 307)(51, 278)(52, 273)(53, 309)(54, 274)(55, 310)(56, 276)(57, 312)(58, 279)(59, 315)(60, 281)(61, 316)(62, 284)(63, 286)(64, 318)(65, 288)(66, 321)(67, 290)(68, 322)(69, 293)(70, 295)(71, 324)(72, 297)(73, 326)(74, 328)(75, 299)(76, 301)(77, 330)(78, 304)(79, 332)(80, 334)(81, 306)(82, 308)(83, 336)(84, 311)(85, 339)(86, 313)(87, 340)(88, 314)(89, 342)(90, 317)(91, 345)(92, 319)(93, 346)(94, 320)(95, 348)(96, 323)(97, 350)(98, 352)(99, 325)(100, 327)(101, 354)(102, 329)(103, 356)(104, 358)(105, 331)(106, 333)(107, 357)(108, 335)(109, 359)(110, 337)(111, 353)(112, 338)(113, 351)(114, 341)(115, 360)(116, 343)(117, 347)(118, 344)(119, 349)(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) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2687
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.2687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = C2 x C2 x S3 x D10 (small group id <240, 202>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 16, 136, 31, 151, 25, 145, 11, 131)(4, 124, 12, 132, 26, 146, 30, 150, 17, 137, 8, 128)(7, 127, 18, 138, 29, 149, 28, 148, 13, 133, 20, 140)(10, 130, 23, 143, 40, 160, 47, 167, 32, 152, 22, 142)(19, 139, 35, 155, 27, 147, 43, 163, 45, 165, 34, 154)(21, 141, 37, 157, 46, 166, 42, 162, 24, 144, 39, 159)(33, 153, 48, 168, 44, 164, 52, 172, 36, 156, 50, 170)(38, 158, 55, 175, 41, 161, 57, 177, 60, 180, 54, 174)(49, 169, 63, 183, 51, 171, 65, 185, 59, 179, 62, 182)(53, 173, 67, 187, 58, 178, 71, 191, 56, 176, 69, 189)(61, 181, 73, 193, 66, 186, 77, 197, 64, 184, 75, 195)(68, 188, 81, 201, 70, 190, 83, 203, 72, 192, 80, 200)(74, 194, 87, 207, 76, 196, 89, 209, 78, 198, 86, 206)(79, 199, 91, 211, 84, 204, 95, 215, 82, 202, 93, 213)(85, 205, 97, 217, 90, 210, 101, 221, 88, 208, 99, 219)(92, 212, 105, 225, 94, 214, 107, 227, 96, 216, 104, 224)(98, 218, 111, 231, 100, 220, 113, 233, 102, 222, 110, 230)(103, 223, 109, 229, 108, 228, 114, 234, 106, 226, 112, 232)(115, 235, 119, 239, 116, 236, 120, 240, 117, 237, 118, 238)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 261, 381)(251, 371, 264, 384)(252, 372, 267, 387)(254, 374, 265, 385)(255, 375, 269, 389)(257, 377, 272, 392)(258, 378, 273, 393)(260, 380, 276, 396)(262, 382, 278, 398)(263, 383, 281, 401)(266, 386, 280, 400)(268, 388, 284, 404)(270, 390, 285, 405)(271, 391, 286, 406)(274, 394, 289, 409)(275, 395, 291, 411)(277, 397, 293, 413)(279, 399, 296, 416)(282, 402, 298, 418)(283, 403, 299, 419)(287, 407, 300, 420)(288, 408, 301, 421)(290, 410, 304, 424)(292, 412, 306, 426)(294, 414, 308, 428)(295, 415, 310, 430)(297, 417, 312, 432)(302, 422, 314, 434)(303, 423, 316, 436)(305, 425, 318, 438)(307, 427, 319, 439)(309, 429, 322, 442)(311, 431, 324, 444)(313, 433, 325, 445)(315, 435, 328, 448)(317, 437, 330, 450)(320, 440, 332, 452)(321, 441, 334, 454)(323, 443, 336, 456)(326, 446, 338, 458)(327, 447, 340, 460)(329, 449, 342, 462)(331, 451, 343, 463)(333, 453, 346, 466)(335, 455, 348, 468)(337, 457, 349, 469)(339, 459, 352, 472)(341, 461, 354, 474)(344, 464, 355, 475)(345, 465, 356, 476)(347, 467, 357, 477)(350, 470, 358, 478)(351, 471, 359, 479)(353, 473, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 262)(10, 243)(11, 263)(12, 245)(13, 267)(14, 266)(15, 270)(16, 272)(17, 246)(18, 274)(19, 247)(20, 275)(21, 278)(22, 249)(23, 251)(24, 281)(25, 280)(26, 254)(27, 253)(28, 283)(29, 285)(30, 255)(31, 287)(32, 256)(33, 289)(34, 258)(35, 260)(36, 291)(37, 294)(38, 261)(39, 295)(40, 265)(41, 264)(42, 297)(43, 268)(44, 299)(45, 269)(46, 300)(47, 271)(48, 302)(49, 273)(50, 303)(51, 276)(52, 305)(53, 308)(54, 277)(55, 279)(56, 310)(57, 282)(58, 312)(59, 284)(60, 286)(61, 314)(62, 288)(63, 290)(64, 316)(65, 292)(66, 318)(67, 320)(68, 293)(69, 321)(70, 296)(71, 323)(72, 298)(73, 326)(74, 301)(75, 327)(76, 304)(77, 329)(78, 306)(79, 332)(80, 307)(81, 309)(82, 334)(83, 311)(84, 336)(85, 338)(86, 313)(87, 315)(88, 340)(89, 317)(90, 342)(91, 344)(92, 319)(93, 345)(94, 322)(95, 347)(96, 324)(97, 350)(98, 325)(99, 351)(100, 328)(101, 353)(102, 330)(103, 355)(104, 331)(105, 333)(106, 356)(107, 335)(108, 357)(109, 358)(110, 337)(111, 339)(112, 359)(113, 341)(114, 360)(115, 343)(116, 346)(117, 348)(118, 349)(119, 352)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2686
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = C2 x C2 x S3 x D10 (small group id <240, 202>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 15, 135, 14, 134, 5, 125)(3, 123, 9, 129, 21, 141, 32, 152, 16, 136, 11, 131)(4, 124, 12, 132, 26, 146, 30, 150, 17, 137, 8, 128)(7, 127, 18, 138, 13, 133, 28, 148, 29, 149, 20, 140)(10, 130, 24, 144, 31, 151, 46, 166, 37, 157, 23, 143)(19, 139, 35, 155, 45, 165, 43, 163, 27, 147, 34, 154)(22, 142, 38, 158, 25, 145, 42, 162, 47, 167, 40, 160)(33, 153, 48, 168, 36, 156, 52, 172, 44, 164, 50, 170)(39, 159, 55, 175, 60, 180, 57, 177, 41, 161, 54, 174)(49, 169, 63, 183, 59, 179, 65, 185, 51, 171, 62, 182)(53, 173, 67, 187, 56, 176, 71, 191, 58, 178, 69, 189)(61, 181, 73, 193, 64, 184, 77, 197, 66, 186, 75, 195)(68, 188, 81, 201, 72, 192, 83, 203, 70, 190, 80, 200)(74, 194, 87, 207, 78, 198, 89, 209, 76, 196, 86, 206)(79, 199, 91, 211, 82, 202, 95, 215, 84, 204, 93, 213)(85, 205, 97, 217, 88, 208, 101, 221, 90, 210, 99, 219)(92, 212, 105, 225, 96, 216, 107, 227, 94, 214, 104, 224)(98, 218, 111, 231, 102, 222, 113, 233, 100, 220, 110, 230)(103, 223, 112, 232, 106, 226, 114, 234, 108, 228, 109, 229)(115, 235, 118, 238, 117, 237, 120, 240, 116, 236, 119, 239)(241, 361, 243, 363)(242, 362, 247, 367)(244, 364, 250, 370)(245, 365, 253, 373)(246, 366, 256, 376)(248, 368, 259, 379)(249, 369, 262, 382)(251, 371, 265, 385)(252, 372, 267, 387)(254, 374, 261, 381)(255, 375, 269, 389)(257, 377, 271, 391)(258, 378, 273, 393)(260, 380, 276, 396)(263, 383, 279, 399)(264, 384, 281, 401)(266, 386, 277, 397)(268, 388, 284, 404)(270, 390, 285, 405)(272, 392, 287, 407)(274, 394, 289, 409)(275, 395, 291, 411)(278, 398, 293, 413)(280, 400, 296, 416)(282, 402, 298, 418)(283, 403, 299, 419)(286, 406, 300, 420)(288, 408, 301, 421)(290, 410, 304, 424)(292, 412, 306, 426)(294, 414, 308, 428)(295, 415, 310, 430)(297, 417, 312, 432)(302, 422, 314, 434)(303, 423, 316, 436)(305, 425, 318, 438)(307, 427, 319, 439)(309, 429, 322, 442)(311, 431, 324, 444)(313, 433, 325, 445)(315, 435, 328, 448)(317, 437, 330, 450)(320, 440, 332, 452)(321, 441, 334, 454)(323, 443, 336, 456)(326, 446, 338, 458)(327, 447, 340, 460)(329, 449, 342, 462)(331, 451, 343, 463)(333, 453, 346, 466)(335, 455, 348, 468)(337, 457, 349, 469)(339, 459, 352, 472)(341, 461, 354, 474)(344, 464, 355, 475)(345, 465, 356, 476)(347, 467, 357, 477)(350, 470, 358, 478)(351, 471, 359, 479)(353, 473, 360, 480)
	L = (1, 244)(2, 248)(3, 250)(4, 241)(5, 252)(6, 257)(7, 259)(8, 242)(9, 263)(10, 243)(11, 264)(12, 245)(13, 267)(14, 266)(15, 270)(16, 271)(17, 246)(18, 274)(19, 247)(20, 275)(21, 277)(22, 279)(23, 249)(24, 251)(25, 281)(26, 254)(27, 253)(28, 283)(29, 285)(30, 255)(31, 256)(32, 286)(33, 289)(34, 258)(35, 260)(36, 291)(37, 261)(38, 294)(39, 262)(40, 295)(41, 265)(42, 297)(43, 268)(44, 299)(45, 269)(46, 272)(47, 300)(48, 302)(49, 273)(50, 303)(51, 276)(52, 305)(53, 308)(54, 278)(55, 280)(56, 310)(57, 282)(58, 312)(59, 284)(60, 287)(61, 314)(62, 288)(63, 290)(64, 316)(65, 292)(66, 318)(67, 320)(68, 293)(69, 321)(70, 296)(71, 323)(72, 298)(73, 326)(74, 301)(75, 327)(76, 304)(77, 329)(78, 306)(79, 332)(80, 307)(81, 309)(82, 334)(83, 311)(84, 336)(85, 338)(86, 313)(87, 315)(88, 340)(89, 317)(90, 342)(91, 344)(92, 319)(93, 345)(94, 322)(95, 347)(96, 324)(97, 350)(98, 325)(99, 351)(100, 328)(101, 353)(102, 330)(103, 355)(104, 331)(105, 333)(106, 356)(107, 335)(108, 357)(109, 358)(110, 337)(111, 339)(112, 359)(113, 341)(114, 360)(115, 343)(116, 346)(117, 348)(118, 349)(119, 352)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2684
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x S3 x D10 (small group id <120, 42>)
Aut   = C2 x C2 x S3 x D10 (small group id <240, 202>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 7, 127, 18, 138, 15, 135, 5, 125)(3, 123, 11, 131, 25, 145, 35, 155, 19, 139, 13, 133)(4, 124, 9, 129, 6, 126, 10, 130, 20, 140, 16, 136)(8, 128, 21, 141, 17, 137, 32, 152, 33, 153, 23, 143)(12, 132, 27, 147, 14, 134, 28, 148, 34, 154, 29, 149)(22, 142, 37, 157, 24, 144, 38, 158, 31, 151, 39, 159)(26, 146, 41, 161, 30, 150, 46, 166, 48, 168, 43, 163)(36, 156, 49, 169, 40, 160, 54, 174, 47, 167, 51, 171)(42, 162, 56, 176, 44, 164, 57, 177, 45, 165, 58, 178)(50, 170, 62, 182, 52, 172, 63, 183, 53, 173, 64, 184)(55, 175, 67, 187, 59, 179, 72, 192, 60, 180, 69, 189)(61, 181, 73, 193, 65, 185, 78, 198, 66, 186, 75, 195)(68, 188, 80, 200, 70, 190, 81, 201, 71, 191, 82, 202)(74, 194, 86, 206, 76, 196, 87, 207, 77, 197, 88, 208)(79, 199, 91, 211, 83, 203, 96, 216, 84, 204, 93, 213)(85, 205, 97, 217, 89, 209, 102, 222, 90, 210, 99, 219)(92, 212, 104, 224, 94, 214, 105, 225, 95, 215, 106, 226)(98, 218, 110, 230, 100, 220, 111, 231, 101, 221, 112, 232)(103, 223, 113, 233, 107, 227, 114, 234, 108, 228, 109, 229)(115, 235, 119, 239, 116, 236, 120, 240, 117, 237, 118, 238)(241, 361, 243, 363)(242, 362, 248, 368)(244, 364, 254, 374)(245, 365, 257, 377)(246, 366, 252, 372)(247, 367, 259, 379)(249, 369, 264, 384)(250, 370, 262, 382)(251, 371, 266, 386)(253, 373, 270, 390)(255, 375, 265, 385)(256, 376, 271, 391)(258, 378, 273, 393)(260, 380, 274, 394)(261, 381, 276, 396)(263, 383, 280, 400)(267, 387, 284, 404)(268, 388, 282, 402)(269, 389, 285, 405)(272, 392, 287, 407)(275, 395, 288, 408)(277, 397, 292, 412)(278, 398, 290, 410)(279, 399, 293, 413)(281, 401, 295, 415)(283, 403, 299, 419)(286, 406, 300, 420)(289, 409, 301, 421)(291, 411, 305, 425)(294, 414, 306, 426)(296, 416, 310, 430)(297, 417, 308, 428)(298, 418, 311, 431)(302, 422, 316, 436)(303, 423, 314, 434)(304, 424, 317, 437)(307, 427, 319, 439)(309, 429, 323, 443)(312, 432, 324, 444)(313, 433, 325, 445)(315, 435, 329, 449)(318, 438, 330, 450)(320, 440, 334, 454)(321, 441, 332, 452)(322, 442, 335, 455)(326, 446, 340, 460)(327, 447, 338, 458)(328, 448, 341, 461)(331, 451, 343, 463)(333, 453, 347, 467)(336, 456, 348, 468)(337, 457, 349, 469)(339, 459, 353, 473)(342, 462, 354, 474)(344, 464, 356, 476)(345, 465, 355, 475)(346, 466, 357, 477)(350, 470, 359, 479)(351, 471, 358, 478)(352, 472, 360, 480)
	L = (1, 244)(2, 249)(3, 252)(4, 255)(5, 256)(6, 241)(7, 246)(8, 262)(9, 245)(10, 242)(11, 267)(12, 259)(13, 269)(14, 243)(15, 260)(16, 258)(17, 264)(18, 250)(19, 274)(20, 247)(21, 277)(22, 273)(23, 279)(24, 248)(25, 254)(26, 282)(27, 253)(28, 251)(29, 275)(30, 284)(31, 257)(32, 278)(33, 271)(34, 265)(35, 268)(36, 290)(37, 263)(38, 261)(39, 272)(40, 292)(41, 296)(42, 288)(43, 298)(44, 266)(45, 270)(46, 297)(47, 293)(48, 285)(49, 302)(50, 287)(51, 304)(52, 276)(53, 280)(54, 303)(55, 308)(56, 283)(57, 281)(58, 286)(59, 310)(60, 311)(61, 314)(62, 291)(63, 289)(64, 294)(65, 316)(66, 317)(67, 320)(68, 300)(69, 322)(70, 295)(71, 299)(72, 321)(73, 326)(74, 306)(75, 328)(76, 301)(77, 305)(78, 327)(79, 332)(80, 309)(81, 307)(82, 312)(83, 334)(84, 335)(85, 338)(86, 315)(87, 313)(88, 318)(89, 340)(90, 341)(91, 344)(92, 324)(93, 346)(94, 319)(95, 323)(96, 345)(97, 350)(98, 330)(99, 352)(100, 325)(101, 329)(102, 351)(103, 355)(104, 333)(105, 331)(106, 336)(107, 356)(108, 357)(109, 358)(110, 339)(111, 337)(112, 342)(113, 359)(114, 360)(115, 348)(116, 343)(117, 347)(118, 354)(119, 349)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.2685
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.2690 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x (C15 : C4) (small group id <120, 41>)
Aut   = C2 x (C15 : C4) (small group id <120, 41>)
|r| :: 1
Presentation :: [ X1^4, X2^-2 * X1 * X2^-2 * X1^-1, X2^6, (X2 * X1)^4, X1^2 * X2^-1 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 25, 11)(5, 14, 37, 15)(7, 19, 46, 21)(8, 22, 52, 23)(10, 24, 41, 29)(12, 32, 66, 34)(13, 35, 70, 36)(16, 20, 45, 33)(17, 40, 75, 42)(18, 43, 81, 44)(26, 57, 85, 58)(27, 59, 92, 60)(28, 61, 96, 62)(30, 64, 86, 47)(31, 65, 93, 53)(38, 69, 84, 73)(39, 74, 87, 48)(49, 88, 110, 89)(50, 90, 105, 76)(51, 91, 109, 82)(54, 94, 106, 77)(55, 95, 71, 80)(56, 97, 67, 79)(63, 102, 114, 100)(68, 83, 72, 104)(78, 107, 103, 108)(98, 112, 118, 115)(99, 111, 119, 117)(101, 113, 120, 116)(121, 123, 130, 148, 136, 125)(122, 127, 140, 169, 144, 128)(124, 132, 153, 183, 149, 133)(126, 137, 161, 198, 165, 138)(129, 146, 134, 158, 181, 147)(131, 150, 135, 159, 182, 151)(139, 167, 142, 173, 208, 168)(141, 170, 143, 174, 209, 171)(145, 175, 216, 192, 157, 176)(152, 187, 155, 191, 222, 188)(154, 177, 156, 179, 220, 189)(160, 196, 163, 202, 227, 197)(162, 199, 164, 203, 228, 200)(166, 204, 230, 212, 172, 205)(178, 218, 180, 221, 193, 219)(184, 195, 185, 223, 194, 201)(186, 211, 234, 214, 190, 210)(206, 231, 207, 233, 213, 232)(215, 235, 217, 237, 224, 236)(225, 238, 226, 240, 229, 239)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: chiral
Dual of E21.2691
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 120 f = 30
	degree seq :: [ 4^30, 6^20 ]

E21.2691 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x (C15 : C4) (small group id <120, 41>)
Aut   = C2 x (C15 : C4) (small group id <120, 41>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2^-2 * X1^-1 * X2^-1 * X1^-2 * X2^-1 * X1^-1, X2 * X1 * X2^-2 * X1 * X2 * X1^-2, X2^-1 * X1 * X2^-1 * X1^-2 * X2 * X1^-1 * X2^-1, X2^2 * X1 * X2^2 * X1^-1 * X2^-2 * X1^-2, (X2 * X1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 23, 143, 11, 131)(5, 125, 14, 134, 35, 155, 15, 135)(7, 127, 18, 138, 45, 165, 20, 140)(8, 128, 21, 141, 52, 172, 22, 142)(10, 130, 26, 146, 63, 183, 27, 147)(12, 132, 30, 150, 70, 190, 32, 152)(13, 133, 33, 153, 64, 184, 34, 154)(16, 136, 40, 160, 77, 197, 42, 162)(17, 137, 43, 163, 80, 200, 44, 164)(19, 139, 48, 168, 88, 208, 49, 169)(24, 144, 59, 179, 39, 159, 60, 180)(25, 145, 61, 181, 37, 157, 62, 182)(28, 148, 66, 186, 81, 201, 67, 187)(29, 149, 68, 188, 36, 156, 69, 189)(31, 151, 71, 191, 83, 203, 57, 177)(38, 158, 75, 195, 82, 202, 76, 196)(41, 161, 78, 198, 58, 178, 79, 199)(46, 166, 84, 204, 56, 176, 85, 205)(47, 167, 86, 206, 54, 174, 87, 207)(50, 170, 90, 210, 72, 192, 91, 211)(51, 171, 92, 212, 53, 173, 93, 213)(55, 175, 95, 215, 73, 193, 96, 216)(65, 185, 94, 214, 109, 229, 106, 226)(74, 194, 89, 209, 110, 230, 97, 217)(98, 218, 114, 234, 105, 225, 115, 235)(99, 219, 118, 238, 103, 223, 111, 231)(100, 220, 112, 232, 107, 227, 116, 236)(101, 221, 119, 239, 102, 222, 113, 233)(104, 224, 117, 237, 108, 228, 120, 240)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 136)(7, 139)(8, 122)(9, 144)(10, 125)(11, 148)(12, 151)(13, 124)(14, 156)(15, 158)(16, 161)(17, 126)(18, 166)(19, 128)(20, 170)(21, 173)(22, 175)(23, 177)(24, 164)(25, 129)(26, 184)(27, 185)(28, 162)(29, 131)(30, 176)(31, 133)(32, 171)(33, 192)(34, 167)(35, 191)(36, 194)(37, 134)(38, 160)(39, 135)(40, 159)(41, 137)(42, 149)(43, 201)(44, 145)(45, 147)(46, 154)(47, 138)(48, 155)(49, 209)(50, 152)(51, 140)(52, 146)(53, 214)(54, 141)(55, 150)(56, 142)(57, 217)(58, 143)(59, 218)(60, 220)(61, 222)(62, 224)(63, 197)(64, 198)(65, 203)(66, 225)(67, 221)(68, 227)(69, 219)(70, 199)(71, 200)(72, 226)(73, 153)(74, 157)(75, 223)(76, 228)(77, 169)(78, 172)(79, 229)(80, 168)(81, 230)(82, 163)(83, 165)(84, 231)(85, 233)(86, 235)(87, 237)(88, 190)(89, 183)(90, 238)(91, 234)(92, 239)(93, 232)(94, 174)(95, 236)(96, 240)(97, 178)(98, 189)(99, 179)(100, 187)(101, 180)(102, 195)(103, 181)(104, 186)(105, 182)(106, 193)(107, 196)(108, 188)(109, 208)(110, 202)(111, 213)(112, 204)(113, 211)(114, 205)(115, 215)(116, 206)(117, 210)(118, 207)(119, 216)(120, 212)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: chiral
Dual of E21.2690
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 30 e = 120 f = 50
	degree seq :: [ 8^30 ]

E21.2692 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1 * T2, T1 * T2^2 * T1 * T2^-2 * T1^-1 * T2^-2, (T1 * T2^2)^3, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 41, 21, 7)(4, 11, 29, 59, 33, 12)(8, 22, 48, 79, 50, 23)(10, 26, 13, 34, 56, 27)(14, 35, 53, 84, 67, 36)(16, 38, 70, 99, 72, 39)(18, 42, 19, 44, 75, 43)(20, 45, 73, 100, 76, 46)(24, 51, 40, 68, 37, 52)(28, 57, 87, 108, 88, 58)(30, 54, 31, 61, 90, 60)(32, 62, 89, 109, 91, 63)(47, 77, 101, 115, 102, 78)(49, 80, 103, 116, 104, 81)(55, 85, 64, 92, 74, 86)(65, 93, 110, 118, 106, 83)(66, 94, 107, 119, 111, 95)(69, 97, 113, 120, 114, 98)(71, 82, 105, 117, 112, 96)(121, 122, 124)(123, 128, 130)(125, 133, 134)(126, 136, 138)(127, 139, 140)(129, 144, 141)(131, 148, 150)(132, 151, 152)(135, 149, 157)(137, 160, 153)(142, 167, 166)(143, 165, 169)(145, 173, 170)(146, 174, 162)(147, 164, 175)(154, 184, 180)(155, 185, 178)(156, 177, 186)(158, 189, 183)(159, 182, 191)(161, 193, 192)(163, 181, 194)(168, 187, 176)(171, 202, 201)(172, 200, 203)(179, 209, 208)(188, 213, 216)(190, 196, 195)(197, 218, 206)(198, 205, 214)(199, 223, 222)(204, 227, 226)(207, 211, 210)(212, 217, 215)(219, 225, 234)(220, 221, 224)(228, 230, 231)(229, 233, 232)(235, 239, 240)(236, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2693
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 120 f = 20
	degree seq :: [ 3^40, 6^20 ]

E21.2693 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1 * T2^-2 * T1^-1 * T2^-2 * T1 * T2, T1 * T2^2 * T1 * T2^-2 * T1^-1 * T2^-2, (T1 * T2^2)^3, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 9, 129, 25, 145, 15, 135, 5, 125)(2, 122, 6, 126, 17, 137, 41, 161, 21, 141, 7, 127)(4, 124, 11, 131, 29, 149, 59, 179, 33, 153, 12, 132)(8, 128, 22, 142, 48, 168, 79, 199, 50, 170, 23, 143)(10, 130, 26, 146, 13, 133, 34, 154, 56, 176, 27, 147)(14, 134, 35, 155, 53, 173, 84, 204, 67, 187, 36, 156)(16, 136, 38, 158, 70, 190, 99, 219, 72, 192, 39, 159)(18, 138, 42, 162, 19, 139, 44, 164, 75, 195, 43, 163)(20, 140, 45, 165, 73, 193, 100, 220, 76, 196, 46, 166)(24, 144, 51, 171, 40, 160, 68, 188, 37, 157, 52, 172)(28, 148, 57, 177, 87, 207, 108, 228, 88, 208, 58, 178)(30, 150, 54, 174, 31, 151, 61, 181, 90, 210, 60, 180)(32, 152, 62, 182, 89, 209, 109, 229, 91, 211, 63, 183)(47, 167, 77, 197, 101, 221, 115, 235, 102, 222, 78, 198)(49, 169, 80, 200, 103, 223, 116, 236, 104, 224, 81, 201)(55, 175, 85, 205, 64, 184, 92, 212, 74, 194, 86, 206)(65, 185, 93, 213, 110, 230, 118, 238, 106, 226, 83, 203)(66, 186, 94, 214, 107, 227, 119, 239, 111, 231, 95, 215)(69, 189, 97, 217, 113, 233, 120, 240, 114, 234, 98, 218)(71, 191, 82, 202, 105, 225, 117, 237, 112, 232, 96, 216)
	L = (1, 122)(2, 124)(3, 128)(4, 121)(5, 133)(6, 136)(7, 139)(8, 130)(9, 144)(10, 123)(11, 148)(12, 151)(13, 134)(14, 125)(15, 149)(16, 138)(17, 160)(18, 126)(19, 140)(20, 127)(21, 129)(22, 167)(23, 165)(24, 141)(25, 173)(26, 174)(27, 164)(28, 150)(29, 157)(30, 131)(31, 152)(32, 132)(33, 137)(34, 184)(35, 185)(36, 177)(37, 135)(38, 189)(39, 182)(40, 153)(41, 193)(42, 146)(43, 181)(44, 175)(45, 169)(46, 142)(47, 166)(48, 187)(49, 143)(50, 145)(51, 202)(52, 200)(53, 170)(54, 162)(55, 147)(56, 168)(57, 186)(58, 155)(59, 209)(60, 154)(61, 194)(62, 191)(63, 158)(64, 180)(65, 178)(66, 156)(67, 176)(68, 213)(69, 183)(70, 196)(71, 159)(72, 161)(73, 192)(74, 163)(75, 190)(76, 195)(77, 218)(78, 205)(79, 223)(80, 203)(81, 171)(82, 201)(83, 172)(84, 227)(85, 214)(86, 197)(87, 211)(88, 179)(89, 208)(90, 207)(91, 210)(92, 217)(93, 216)(94, 198)(95, 212)(96, 188)(97, 215)(98, 206)(99, 225)(100, 221)(101, 224)(102, 199)(103, 222)(104, 220)(105, 234)(106, 204)(107, 226)(108, 230)(109, 233)(110, 231)(111, 228)(112, 229)(113, 232)(114, 219)(115, 239)(116, 237)(117, 238)(118, 236)(119, 240)(120, 235)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2692
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.2694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^2 * Y1^-1 * Y2^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y2^6, Y3 * Y2^-2 * Y3^-1 * Y2^-2 * Y3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2, Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 13, 133, 14, 134)(6, 126, 16, 136, 18, 138)(7, 127, 19, 139, 20, 140)(9, 129, 24, 144, 21, 141)(11, 131, 28, 148, 30, 150)(12, 132, 31, 151, 32, 152)(15, 135, 29, 149, 37, 157)(17, 137, 40, 160, 33, 153)(22, 142, 47, 167, 46, 166)(23, 143, 45, 165, 49, 169)(25, 145, 53, 173, 50, 170)(26, 146, 54, 174, 42, 162)(27, 147, 44, 164, 55, 175)(34, 154, 64, 184, 60, 180)(35, 155, 65, 185, 58, 178)(36, 156, 57, 177, 66, 186)(38, 158, 69, 189, 63, 183)(39, 159, 62, 182, 71, 191)(41, 161, 73, 193, 72, 192)(43, 163, 61, 181, 74, 194)(48, 168, 67, 187, 56, 176)(51, 171, 82, 202, 81, 201)(52, 172, 80, 200, 83, 203)(59, 179, 89, 209, 88, 208)(68, 188, 93, 213, 96, 216)(70, 190, 76, 196, 75, 195)(77, 197, 98, 218, 86, 206)(78, 198, 85, 205, 94, 214)(79, 199, 103, 223, 102, 222)(84, 204, 107, 227, 106, 226)(87, 207, 91, 211, 90, 210)(92, 212, 97, 217, 95, 215)(99, 219, 105, 225, 114, 234)(100, 220, 101, 221, 104, 224)(108, 228, 110, 230, 111, 231)(109, 229, 113, 233, 112, 232)(115, 235, 119, 239, 120, 240)(116, 236, 117, 237, 118, 238)(241, 361, 243, 363, 249, 369, 265, 385, 255, 375, 245, 365)(242, 362, 246, 366, 257, 377, 281, 401, 261, 381, 247, 367)(244, 364, 251, 371, 269, 389, 299, 419, 273, 393, 252, 372)(248, 368, 262, 382, 288, 408, 319, 439, 290, 410, 263, 383)(250, 370, 266, 386, 253, 373, 274, 394, 296, 416, 267, 387)(254, 374, 275, 395, 293, 413, 324, 444, 307, 427, 276, 396)(256, 376, 278, 398, 310, 430, 339, 459, 312, 432, 279, 399)(258, 378, 282, 402, 259, 379, 284, 404, 315, 435, 283, 403)(260, 380, 285, 405, 313, 433, 340, 460, 316, 436, 286, 406)(264, 384, 291, 411, 280, 400, 308, 428, 277, 397, 292, 412)(268, 388, 297, 417, 327, 447, 348, 468, 328, 448, 298, 418)(270, 390, 294, 414, 271, 391, 301, 421, 330, 450, 300, 420)(272, 392, 302, 422, 329, 449, 349, 469, 331, 451, 303, 423)(287, 407, 317, 437, 341, 461, 355, 475, 342, 462, 318, 438)(289, 409, 320, 440, 343, 463, 356, 476, 344, 464, 321, 441)(295, 415, 325, 445, 304, 424, 332, 452, 314, 434, 326, 446)(305, 425, 333, 453, 350, 470, 358, 478, 346, 466, 323, 443)(306, 426, 334, 454, 347, 467, 359, 479, 351, 471, 335, 455)(309, 429, 337, 457, 353, 473, 360, 480, 354, 474, 338, 458)(311, 431, 322, 442, 345, 465, 357, 477, 352, 472, 336, 456)
	L = (1, 244)(2, 241)(3, 250)(4, 242)(5, 254)(6, 258)(7, 260)(8, 243)(9, 261)(10, 248)(11, 270)(12, 272)(13, 245)(14, 253)(15, 277)(16, 246)(17, 273)(18, 256)(19, 247)(20, 259)(21, 264)(22, 286)(23, 289)(24, 249)(25, 290)(26, 282)(27, 295)(28, 251)(29, 255)(30, 268)(31, 252)(32, 271)(33, 280)(34, 300)(35, 298)(36, 306)(37, 269)(38, 303)(39, 311)(40, 257)(41, 312)(42, 294)(43, 314)(44, 267)(45, 263)(46, 287)(47, 262)(48, 296)(49, 285)(50, 293)(51, 321)(52, 323)(53, 265)(54, 266)(55, 284)(56, 307)(57, 276)(58, 305)(59, 328)(60, 304)(61, 283)(62, 279)(63, 309)(64, 274)(65, 275)(66, 297)(67, 288)(68, 336)(69, 278)(70, 315)(71, 302)(72, 313)(73, 281)(74, 301)(75, 316)(76, 310)(77, 326)(78, 334)(79, 342)(80, 292)(81, 322)(82, 291)(83, 320)(84, 346)(85, 318)(86, 338)(87, 330)(88, 329)(89, 299)(90, 331)(91, 327)(92, 335)(93, 308)(94, 325)(95, 337)(96, 333)(97, 332)(98, 317)(99, 354)(100, 344)(101, 340)(102, 343)(103, 319)(104, 341)(105, 339)(106, 347)(107, 324)(108, 351)(109, 352)(110, 348)(111, 350)(112, 353)(113, 349)(114, 345)(115, 360)(116, 358)(117, 356)(118, 357)(119, 355)(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, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2695
Graph:: bipartite
	v = 60 e = 240 f = 140
	degree seq :: [ 6^40, 12^20 ]

E21.2695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = S5 (small group id <120, 34>)
Aut   = C2 x S5 (small group id <240, 189>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, Y1^-1 * Y3 * Y1^4 * Y3 * Y1^-1, (Y1 * Y3^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 16, 136, 12, 132, 4, 124)(3, 123, 9, 129, 23, 143, 42, 162, 18, 138, 10, 130)(5, 125, 14, 134, 29, 149, 59, 179, 36, 156, 15, 135)(7, 127, 19, 139, 43, 163, 70, 190, 39, 159, 20, 140)(8, 128, 21, 141, 11, 131, 28, 148, 51, 171, 22, 142)(13, 133, 31, 151, 38, 158, 69, 189, 64, 184, 32, 152)(17, 137, 40, 160, 53, 173, 60, 180, 30, 150, 41, 161)(24, 144, 54, 174, 83, 203, 104, 224, 76, 196, 55, 175)(25, 145, 49, 169, 26, 146, 50, 170, 80, 200, 56, 176)(27, 147, 46, 166, 75, 195, 103, 223, 79, 199, 45, 165)(33, 153, 63, 183, 93, 213, 109, 229, 90, 210, 62, 182)(34, 154, 48, 168, 35, 155, 66, 186, 88, 208, 58, 178)(37, 157, 67, 187, 89, 209, 108, 228, 96, 216, 68, 188)(44, 164, 77, 197, 105, 225, 116, 236, 100, 220, 78, 198)(47, 167, 73, 193, 99, 219, 115, 235, 102, 222, 72, 192)(52, 172, 81, 201, 57, 177, 87, 207, 86, 206, 82, 202)(61, 181, 91, 211, 110, 230, 114, 234, 98, 218, 74, 194)(65, 185, 94, 214, 97, 217, 113, 233, 112, 232, 95, 215)(71, 191, 101, 221, 117, 237, 111, 231, 92, 212, 85, 205)(84, 204, 107, 227, 119, 239, 120, 240, 118, 238, 106, 226)(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, 245)(4, 251)(5, 241)(6, 257)(7, 248)(8, 242)(9, 264)(10, 266)(11, 253)(12, 269)(13, 244)(14, 273)(15, 275)(16, 278)(17, 258)(18, 246)(19, 284)(20, 286)(21, 288)(22, 290)(23, 293)(24, 265)(25, 249)(26, 267)(27, 250)(28, 297)(29, 270)(30, 252)(31, 301)(32, 303)(33, 274)(34, 254)(35, 277)(36, 263)(37, 255)(38, 279)(39, 256)(40, 311)(41, 313)(42, 315)(43, 304)(44, 285)(45, 259)(46, 287)(47, 260)(48, 289)(49, 261)(50, 292)(51, 283)(52, 262)(53, 276)(54, 324)(55, 307)(56, 306)(57, 298)(58, 268)(59, 329)(60, 331)(61, 302)(62, 271)(63, 305)(64, 291)(65, 272)(66, 326)(67, 325)(68, 294)(69, 337)(70, 339)(71, 312)(72, 280)(73, 314)(74, 281)(75, 316)(76, 282)(77, 346)(78, 321)(79, 320)(80, 323)(81, 334)(82, 317)(83, 319)(84, 308)(85, 295)(86, 296)(87, 347)(88, 333)(89, 330)(90, 299)(91, 332)(92, 300)(93, 336)(94, 318)(95, 327)(96, 328)(97, 338)(98, 309)(99, 340)(100, 310)(101, 358)(102, 343)(103, 345)(104, 341)(105, 342)(106, 322)(107, 335)(108, 359)(109, 350)(110, 352)(111, 348)(112, 349)(113, 360)(114, 355)(115, 357)(116, 353)(117, 354)(118, 344)(119, 351)(120, 356)(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, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2694
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.2696 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 12, 12})
Quotient :: halfedge
Aut^+ = C6 x (C5 : C4) (small group id <120, 40>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 1
Presentation :: [ X2^2, X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1 * X2, X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 * X2, X1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 75, 74, 46, 22, 10, 4)(3, 7, 15, 31, 48, 77, 100, 93, 69, 38, 18, 8)(6, 13, 27, 55, 76, 99, 97, 73, 45, 62, 30, 14)(9, 19, 39, 50, 24, 49, 78, 102, 95, 71, 42, 20)(12, 25, 51, 80, 98, 96, 72, 44, 21, 43, 54, 26)(16, 33, 56, 84, 101, 116, 112, 92, 68, 41, 61, 34)(17, 35, 58, 28, 57, 81, 105, 114, 110, 90, 65, 36)(29, 59, 83, 52, 82, 103, 117, 113, 94, 70, 86, 60)(32, 63, 79, 104, 115, 111, 91, 67, 37, 66, 40, 53)(64, 85, 106, 87, 107, 118, 120, 119, 109, 89, 108, 88)
	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, 57)(33, 50)(34, 64)(35, 54)(36, 62)(38, 68)(39, 59)(42, 70)(43, 60)(44, 67)(46, 69)(47, 76)(49, 79)(51, 81)(55, 82)(58, 85)(63, 87)(65, 89)(66, 88)(71, 91)(72, 90)(73, 94)(74, 95)(75, 98)(77, 101)(78, 103)(80, 104)(83, 106)(84, 107)(86, 108)(92, 109)(93, 110)(96, 113)(97, 112)(99, 114)(100, 115)(102, 116)(105, 118)(111, 119)(117, 120)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 60 f = 10
	degree seq :: [ 12^10 ]

E21.2697 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C6 x (C5 : C4) (small group id <120, 40>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 1
Presentation :: [ X1^2, X1 * X2^-1 * X1 * X2 * X1 * X2^2 * X1 * X2^-2, X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1, X2^12 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 47)(24, 49)(26, 53)(27, 55)(28, 57)(30, 61)(32, 48)(34, 50)(35, 66)(36, 52)(38, 54)(40, 64)(42, 70)(43, 65)(44, 60)(46, 62)(51, 78)(56, 76)(58, 82)(59, 77)(63, 87)(67, 80)(68, 79)(69, 88)(71, 84)(72, 83)(73, 94)(74, 95)(75, 98)(81, 99)(85, 105)(86, 106)(89, 100)(90, 101)(91, 102)(92, 109)(93, 111)(96, 113)(97, 108)(103, 114)(104, 116)(107, 118)(110, 117)(112, 115)(119, 120)(121, 123, 128, 138, 158, 189, 213, 194, 166, 142, 130, 124)(122, 125, 132, 146, 174, 201, 224, 206, 182, 150, 134, 126)(127, 135, 152, 183, 208, 230, 217, 193, 165, 177, 154, 136)(129, 139, 160, 167, 157, 188, 212, 232, 215, 191, 162, 140)(131, 143, 168, 195, 219, 235, 228, 205, 181, 161, 170, 144)(133, 147, 176, 151, 173, 200, 223, 237, 226, 203, 178, 148)(137, 155, 187, 211, 231, 216, 192, 164, 141, 163, 175, 156)(145, 171, 199, 222, 236, 227, 204, 180, 149, 179, 159, 172)(153, 184, 209, 186, 207, 229, 239, 233, 214, 190, 210, 185)(169, 196, 220, 198, 218, 234, 240, 238, 225, 202, 221, 197)
	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, 24 ), ( 24^12 ) }
Outer automorphisms :: chiral
Dual of E21.2698
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 120 f = 10
	degree seq :: [ 2^60, 12^10 ]

E21.2698 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C6 x (C5 : C4) (small group id <120, 40>)
Aut   = C6 x (C5 : C4) (small group id <120, 40>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^-1 * X1^2, X2^-2 * X1^-4 * X2^-2, X2^-1 * X1 * X2^-1 * X1^-2 * X2 * X1^-1 * X2^-1, X2^-2 * X1 * X2^2 * X1^-1 * X2^-2 * X1^-2, X2^-4 * X1^8 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 40, 160, 77, 197, 109, 229, 100, 220, 62, 182, 34, 154, 13, 133, 4, 124)(3, 123, 9, 129, 23, 143, 57, 177, 39, 159, 42, 162, 80, 200, 113, 233, 99, 219, 70, 190, 29, 149, 11, 131)(5, 125, 14, 134, 35, 155, 56, 176, 78, 198, 111, 231, 102, 222, 63, 183, 26, 146, 51, 171, 20, 140, 7, 127)(8, 128, 21, 141, 52, 172, 89, 209, 110, 230, 105, 225, 67, 187, 33, 153, 48, 168, 84, 204, 44, 164, 17, 137)(10, 130, 25, 145, 61, 181, 36, 156, 15, 135, 38, 158, 54, 174, 95, 215, 112, 232, 106, 226, 65, 185, 27, 147)(12, 132, 30, 150, 71, 191, 79, 199, 41, 161, 18, 138, 45, 165, 85, 205, 116, 236, 107, 227, 73, 193, 32, 152)(19, 139, 47, 167, 90, 210, 53, 173, 22, 142, 55, 175, 87, 207, 119, 239, 101, 221, 72, 192, 92, 212, 49, 169)(24, 144, 60, 180, 37, 157, 75, 195, 81, 201, 115, 235, 103, 223, 69, 189, 31, 151, 50, 170, 93, 213, 58, 178)(28, 148, 66, 186, 83, 203, 43, 163, 82, 202, 59, 179, 86, 206, 46, 166, 88, 208, 114, 234, 108, 228, 68, 188)(64, 184, 91, 211, 117, 237, 97, 217, 74, 194, 94, 214, 118, 238, 98, 218, 76, 196, 96, 216, 120, 240, 104, 224)
	L = (1, 123)(2, 127)(3, 130)(4, 132)(5, 121)(6, 137)(7, 139)(8, 122)(9, 124)(10, 146)(11, 148)(12, 151)(13, 153)(14, 156)(15, 125)(16, 161)(17, 163)(18, 126)(19, 168)(20, 170)(21, 173)(22, 128)(23, 178)(24, 129)(25, 131)(26, 182)(27, 184)(28, 187)(29, 189)(30, 133)(31, 190)(32, 192)(33, 188)(34, 183)(35, 180)(36, 194)(37, 134)(38, 177)(39, 135)(40, 159)(41, 144)(42, 136)(43, 150)(44, 145)(45, 206)(46, 138)(47, 140)(48, 154)(49, 211)(50, 152)(51, 147)(52, 158)(53, 214)(54, 141)(55, 155)(56, 142)(57, 202)(58, 217)(59, 143)(60, 199)(61, 204)(62, 219)(63, 221)(64, 223)(65, 225)(66, 149)(67, 226)(68, 227)(69, 224)(70, 220)(71, 203)(72, 222)(73, 228)(74, 213)(75, 218)(76, 157)(77, 176)(78, 160)(79, 167)(80, 195)(81, 162)(82, 164)(83, 237)(84, 169)(85, 175)(86, 238)(87, 165)(88, 172)(89, 166)(90, 191)(91, 185)(92, 193)(93, 171)(94, 181)(95, 196)(96, 174)(97, 186)(98, 179)(99, 232)(100, 236)(101, 230)(102, 235)(103, 231)(104, 234)(105, 239)(106, 233)(107, 229)(108, 240)(109, 209)(110, 197)(111, 215)(112, 198)(113, 208)(114, 200)(115, 205)(116, 201)(117, 212)(118, 210)(119, 216)(120, 207)
	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 ) }
Outer automorphisms :: chiral
Dual of E21.2697
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 120 f = 70
	degree seq :: [ 24^10 ]

E21.2699 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, T1^16, (T1^-1 * T2)^8 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 82, 114, 128, 127, 113, 81, 46, 22, 10, 4)(3, 7, 15, 31, 63, 101, 125, 95, 124, 111, 118, 84, 48, 38, 18, 8)(6, 13, 27, 55, 45, 80, 109, 121, 107, 70, 102, 116, 83, 62, 30, 14)(9, 19, 39, 74, 110, 122, 104, 67, 103, 120, 86, 50, 24, 49, 42, 20)(12, 25, 51, 44, 21, 43, 78, 106, 126, 98, 123, 108, 115, 92, 54, 26)(16, 33, 60, 29, 59, 97, 79, 112, 76, 41, 52, 88, 119, 85, 68, 34)(17, 35, 69, 105, 117, 96, 58, 28, 57, 90, 53, 89, 64, 40, 71, 36)(32, 65, 87, 73, 37, 72, 91, 75, 94, 56, 93, 77, 100, 61, 99, 66)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 55)(35, 49)(36, 70)(38, 59)(39, 75)(42, 77)(43, 79)(44, 58)(46, 63)(47, 83)(50, 85)(51, 87)(54, 91)(57, 95)(60, 98)(62, 89)(65, 102)(66, 86)(68, 92)(69, 106)(71, 108)(72, 109)(73, 104)(74, 97)(76, 111)(78, 99)(80, 105)(81, 110)(82, 115)(84, 117)(88, 121)(90, 122)(93, 123)(94, 118)(96, 120)(100, 125)(101, 119)(103, 114)(107, 127)(112, 116)(113, 126)(124, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2700
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2700 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-3 * T2 * T1^4 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 86, 70, 76, 50, 34)(17, 35, 66, 85, 61, 77, 51, 36)(28, 55, 40, 71, 84, 95, 73, 56)(29, 57, 41, 72, 79, 96, 74, 58)(32, 59, 75, 69, 37, 54, 78, 62)(64, 87, 67, 91, 97, 116, 98, 88)(65, 89, 68, 92, 106, 123, 105, 90)(80, 99, 82, 103, 114, 126, 115, 100)(81, 101, 83, 104, 93, 113, 94, 102)(107, 124, 109, 125, 127, 117, 128, 119)(108, 118, 110, 120, 111, 121, 112, 122)
	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, 61)(33, 64)(34, 65)(35, 67)(36, 68)(38, 70)(39, 69)(42, 62)(43, 63)(44, 66)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 93)(72, 94)(76, 97)(77, 98)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 114)(96, 115)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 125)(116, 127)(123, 128)(124, 126)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2699
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2701 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-3 * T1 * T2^-1)^2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2)^4, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 45, 66, 34, 16)(9, 19, 40, 70, 37, 69, 42, 20)(11, 23, 47, 75, 60, 78, 49, 24)(13, 27, 55, 82, 52, 81, 57, 28)(17, 35, 67, 44, 21, 43, 68, 36)(25, 50, 79, 59, 29, 58, 80, 51)(31, 61, 39, 71, 92, 109, 87, 62)(33, 64, 41, 72, 88, 110, 91, 65)(46, 73, 54, 83, 102, 118, 97, 74)(48, 76, 56, 84, 98, 119, 101, 77)(85, 105, 89, 111, 125, 126, 124, 106)(86, 107, 90, 112, 93, 113, 94, 108)(95, 114, 99, 120, 128, 123, 127, 115)(96, 116, 100, 121, 103, 122, 104, 117)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 186)(162, 178)(163, 177)(164, 185)(166, 181)(168, 187)(170, 179)(171, 175)(172, 183)(189, 213)(190, 214)(191, 216)(192, 217)(193, 218)(194, 220)(195, 207)(196, 208)(197, 215)(198, 219)(199, 221)(200, 222)(201, 223)(202, 224)(203, 226)(204, 227)(205, 228)(206, 230)(209, 225)(210, 229)(211, 231)(212, 232)(233, 251)(234, 244)(235, 243)(236, 249)(237, 253)(238, 252)(239, 250)(240, 245)(241, 248)(242, 254)(246, 256)(247, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2705
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2702 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-2)^2, T1^8, T1^2 * T2^8 * T1^2, T1^-2 * T2^-2 * T1^2 * T2^-6, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2^-3 * T1^-1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 104, 114, 78, 40, 77, 113, 112, 76, 39, 15, 5)(2, 7, 19, 48, 90, 124, 97, 71, 34, 72, 106, 128, 96, 56, 22, 8)(4, 12, 31, 69, 108, 116, 81, 42, 16, 41, 79, 115, 100, 59, 24, 9)(6, 17, 43, 82, 118, 105, 67, 30, 13, 33, 60, 99, 120, 87, 46, 18)(11, 28, 65, 38, 75, 111, 117, 83, 57, 86, 45, 85, 119, 101, 61, 25)(14, 36, 74, 110, 125, 93, 52, 91, 51, 92, 122, 103, 62, 27, 44, 37)(20, 50, 23, 55, 95, 127, 109, 73, 35, 64, 29, 66, 102, 121, 88, 47)(21, 53, 94, 126, 107, 68, 32, 70, 84, 58, 98, 123, 89, 49, 80, 54)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 205, 170, 157, 139)(133, 142, 163, 200, 206, 179, 148, 135)(136, 149, 180, 161, 199, 212, 172, 145)(138, 153, 188, 221, 241, 211, 171, 155)(140, 158, 193, 208, 169, 146, 173, 160)(143, 166, 195, 220, 242, 213, 174, 164)(147, 175, 159, 196, 234, 201, 207, 177)(150, 183, 152, 186, 225, 194, 209, 181)(154, 190, 230, 252, 240, 253, 223, 184)(156, 192, 165, 198, 214, 178, 219, 182)(167, 197, 216, 247, 232, 243, 237, 203)(176, 217, 250, 233, 256, 235, 202, 215)(187, 227, 189, 222, 244, 210, 245, 226)(191, 224, 246, 236, 204, 218, 248, 228)(229, 249, 231, 251, 239, 255, 238, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2706
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2703 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1^-1)^8, T1^16 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 55)(35, 49)(36, 70)(38, 59)(39, 75)(42, 77)(43, 79)(44, 58)(46, 63)(47, 83)(50, 85)(51, 87)(54, 91)(57, 95)(60, 98)(62, 89)(65, 102)(66, 86)(68, 92)(69, 106)(71, 108)(72, 109)(73, 104)(74, 97)(76, 111)(78, 99)(80, 105)(81, 110)(82, 115)(84, 117)(88, 121)(90, 122)(93, 123)(94, 118)(96, 120)(100, 125)(101, 119)(103, 114)(107, 127)(112, 116)(113, 126)(124, 128)(129, 130, 133, 139, 151, 175, 210, 242, 256, 255, 241, 209, 174, 150, 138, 132)(131, 135, 143, 159, 191, 229, 253, 223, 252, 239, 246, 212, 176, 166, 146, 136)(134, 141, 155, 183, 173, 208, 237, 249, 235, 198, 230, 244, 211, 190, 158, 142)(137, 147, 167, 202, 238, 250, 232, 195, 231, 248, 214, 178, 152, 177, 170, 148)(140, 153, 179, 172, 149, 171, 206, 234, 254, 226, 251, 236, 243, 220, 182, 154)(144, 161, 188, 157, 187, 225, 207, 240, 204, 169, 180, 216, 247, 213, 196, 162)(145, 163, 197, 233, 245, 224, 186, 156, 185, 218, 181, 217, 192, 168, 199, 164)(160, 193, 215, 201, 165, 200, 219, 203, 222, 184, 221, 205, 228, 189, 227, 194)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2704
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2704 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-3 * T1 * T2^-1)^2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2)^4, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 45, 173, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 69, 197, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 75, 203, 60, 188, 78, 206, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 82, 210, 52, 180, 81, 209, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 68, 196, 36, 164)(25, 153, 50, 178, 79, 207, 59, 187, 29, 157, 58, 186, 80, 208, 51, 179)(31, 159, 61, 189, 39, 167, 71, 199, 92, 220, 109, 237, 87, 215, 62, 190)(33, 161, 64, 192, 41, 169, 72, 200, 88, 216, 110, 238, 91, 219, 65, 193)(46, 174, 73, 201, 54, 182, 83, 211, 102, 230, 118, 246, 97, 225, 74, 202)(48, 176, 76, 204, 56, 184, 84, 212, 98, 226, 119, 247, 101, 229, 77, 205)(85, 213, 105, 233, 89, 217, 111, 239, 125, 253, 126, 254, 124, 252, 106, 234)(86, 214, 107, 235, 90, 218, 112, 240, 93, 221, 113, 241, 94, 222, 108, 236)(95, 223, 114, 242, 99, 227, 120, 248, 128, 256, 123, 251, 127, 255, 115, 243)(96, 224, 116, 244, 100, 228, 121, 249, 103, 231, 122, 250, 104, 232, 117, 245)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 186)(33, 144)(34, 178)(35, 177)(36, 185)(37, 146)(38, 181)(39, 147)(40, 187)(41, 148)(42, 179)(43, 175)(44, 183)(45, 150)(46, 151)(47, 171)(48, 152)(49, 163)(50, 162)(51, 170)(52, 154)(53, 166)(54, 155)(55, 172)(56, 156)(57, 164)(58, 160)(59, 168)(60, 158)(61, 213)(62, 214)(63, 216)(64, 217)(65, 218)(66, 220)(67, 207)(68, 208)(69, 215)(70, 219)(71, 221)(72, 222)(73, 223)(74, 224)(75, 226)(76, 227)(77, 228)(78, 230)(79, 195)(80, 196)(81, 225)(82, 229)(83, 231)(84, 232)(85, 189)(86, 190)(87, 197)(88, 191)(89, 192)(90, 193)(91, 198)(92, 194)(93, 199)(94, 200)(95, 201)(96, 202)(97, 209)(98, 203)(99, 204)(100, 205)(101, 210)(102, 206)(103, 211)(104, 212)(105, 251)(106, 244)(107, 243)(108, 249)(109, 253)(110, 252)(111, 250)(112, 245)(113, 248)(114, 254)(115, 235)(116, 234)(117, 240)(118, 256)(119, 255)(120, 241)(121, 236)(122, 239)(123, 233)(124, 238)(125, 237)(126, 242)(127, 247)(128, 246)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2703
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2705 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-2)^2, T1^8, T1^2 * T2^8 * T1^2, T1^-2 * T2^-2 * T1^2 * T2^-6, T2 * T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2 * T1^-1 * T2^-3 * T1^-1 * T2 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 26, 154, 63, 191, 104, 232, 114, 242, 78, 206, 40, 168, 77, 205, 113, 241, 112, 240, 76, 204, 39, 167, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 48, 176, 90, 218, 124, 252, 97, 225, 71, 199, 34, 162, 72, 200, 106, 234, 128, 256, 96, 224, 56, 184, 22, 150, 8, 136)(4, 132, 12, 140, 31, 159, 69, 197, 108, 236, 116, 244, 81, 209, 42, 170, 16, 144, 41, 169, 79, 207, 115, 243, 100, 228, 59, 187, 24, 152, 9, 137)(6, 134, 17, 145, 43, 171, 82, 210, 118, 246, 105, 233, 67, 195, 30, 158, 13, 141, 33, 161, 60, 188, 99, 227, 120, 248, 87, 215, 46, 174, 18, 146)(11, 139, 28, 156, 65, 193, 38, 166, 75, 203, 111, 239, 117, 245, 83, 211, 57, 185, 86, 214, 45, 173, 85, 213, 119, 247, 101, 229, 61, 189, 25, 153)(14, 142, 36, 164, 74, 202, 110, 238, 125, 253, 93, 221, 52, 180, 91, 219, 51, 179, 92, 220, 122, 250, 103, 231, 62, 190, 27, 155, 44, 172, 37, 165)(20, 148, 50, 178, 23, 151, 55, 183, 95, 223, 127, 255, 109, 237, 73, 201, 35, 163, 64, 192, 29, 157, 66, 194, 102, 230, 121, 249, 88, 216, 47, 175)(21, 149, 53, 181, 94, 222, 126, 254, 107, 235, 68, 196, 32, 160, 70, 198, 84, 212, 58, 186, 98, 226, 123, 251, 89, 217, 49, 177, 80, 208, 54, 182)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 151)(10, 153)(11, 131)(12, 158)(13, 132)(14, 163)(15, 166)(16, 168)(17, 136)(18, 173)(19, 175)(20, 135)(21, 180)(22, 183)(23, 185)(24, 186)(25, 188)(26, 190)(27, 138)(28, 192)(29, 139)(30, 193)(31, 196)(32, 140)(33, 199)(34, 141)(35, 200)(36, 143)(37, 198)(38, 195)(39, 197)(40, 162)(41, 146)(42, 157)(43, 155)(44, 145)(45, 160)(46, 164)(47, 159)(48, 217)(49, 147)(50, 219)(51, 148)(52, 161)(53, 150)(54, 156)(55, 152)(56, 154)(57, 205)(58, 225)(59, 227)(60, 221)(61, 222)(62, 230)(63, 224)(64, 165)(65, 208)(66, 209)(67, 220)(68, 234)(69, 216)(70, 214)(71, 212)(72, 206)(73, 207)(74, 215)(75, 167)(76, 218)(77, 170)(78, 179)(79, 177)(80, 169)(81, 181)(82, 245)(83, 171)(84, 172)(85, 174)(86, 178)(87, 176)(88, 247)(89, 250)(90, 248)(91, 182)(92, 242)(93, 241)(94, 244)(95, 184)(96, 246)(97, 194)(98, 187)(99, 189)(100, 191)(101, 249)(102, 252)(103, 251)(104, 243)(105, 256)(106, 201)(107, 202)(108, 204)(109, 203)(110, 254)(111, 255)(112, 253)(113, 211)(114, 213)(115, 237)(116, 210)(117, 226)(118, 236)(119, 232)(120, 228)(121, 231)(122, 233)(123, 239)(124, 240)(125, 223)(126, 229)(127, 238)(128, 235)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2701
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2706 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1^-1)^8, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 53, 181)(27, 155, 56, 184)(30, 158, 61, 189)(31, 159, 64, 192)(33, 161, 67, 195)(34, 162, 55, 183)(35, 163, 49, 177)(36, 164, 70, 198)(38, 166, 59, 187)(39, 167, 75, 203)(42, 170, 77, 205)(43, 171, 79, 207)(44, 172, 58, 186)(46, 174, 63, 191)(47, 175, 83, 211)(50, 178, 85, 213)(51, 179, 87, 215)(54, 182, 91, 219)(57, 185, 95, 223)(60, 188, 98, 226)(62, 190, 89, 217)(65, 193, 102, 230)(66, 194, 86, 214)(68, 196, 92, 220)(69, 197, 106, 234)(71, 199, 108, 236)(72, 200, 109, 237)(73, 201, 104, 232)(74, 202, 97, 225)(76, 204, 111, 239)(78, 206, 99, 227)(80, 208, 105, 233)(81, 209, 110, 238)(82, 210, 115, 243)(84, 212, 117, 245)(88, 216, 121, 249)(90, 218, 122, 250)(93, 221, 123, 251)(94, 222, 118, 246)(96, 224, 120, 248)(100, 228, 125, 253)(101, 229, 119, 247)(103, 231, 114, 242)(107, 235, 127, 255)(112, 240, 116, 244)(113, 241, 126, 254)(124, 252, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 175)(24, 177)(25, 179)(26, 140)(27, 183)(28, 185)(29, 187)(30, 142)(31, 191)(32, 193)(33, 188)(34, 144)(35, 197)(36, 145)(37, 200)(38, 146)(39, 202)(40, 199)(41, 180)(42, 148)(43, 206)(44, 149)(45, 208)(46, 150)(47, 210)(48, 166)(49, 170)(50, 152)(51, 172)(52, 216)(53, 217)(54, 154)(55, 173)(56, 221)(57, 218)(58, 156)(59, 225)(60, 157)(61, 227)(62, 158)(63, 229)(64, 168)(65, 215)(66, 160)(67, 231)(68, 162)(69, 233)(70, 230)(71, 164)(72, 219)(73, 165)(74, 238)(75, 222)(76, 169)(77, 228)(78, 234)(79, 240)(80, 237)(81, 174)(82, 242)(83, 190)(84, 176)(85, 196)(86, 178)(87, 201)(88, 247)(89, 192)(90, 181)(91, 203)(92, 182)(93, 205)(94, 184)(95, 252)(96, 186)(97, 207)(98, 251)(99, 194)(100, 189)(101, 253)(102, 244)(103, 248)(104, 195)(105, 245)(106, 254)(107, 198)(108, 243)(109, 249)(110, 250)(111, 246)(112, 204)(113, 209)(114, 256)(115, 220)(116, 211)(117, 224)(118, 212)(119, 213)(120, 214)(121, 235)(122, 232)(123, 236)(124, 239)(125, 223)(126, 226)(127, 241)(128, 255)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2702
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2 * R)^2, Y2^8, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^-2 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * R * Y2^2 * R * Y2^-1 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-2 * R * Y2)^2, (Y2 * R * Y2^-2 * R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * R * Y2^2 * R * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 58, 186)(34, 162, 50, 178)(35, 163, 49, 177)(36, 164, 57, 185)(38, 166, 53, 181)(40, 168, 59, 187)(42, 170, 51, 179)(43, 171, 47, 175)(44, 172, 55, 183)(61, 189, 85, 213)(62, 190, 86, 214)(63, 191, 88, 216)(64, 192, 89, 217)(65, 193, 90, 218)(66, 194, 92, 220)(67, 195, 79, 207)(68, 196, 80, 208)(69, 197, 87, 215)(70, 198, 91, 219)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 96, 224)(75, 203, 98, 226)(76, 204, 99, 227)(77, 205, 100, 228)(78, 206, 102, 230)(81, 209, 97, 225)(82, 210, 101, 229)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 123, 251)(106, 234, 116, 244)(107, 235, 115, 243)(108, 236, 121, 249)(109, 237, 125, 253)(110, 238, 124, 252)(111, 239, 122, 250)(112, 240, 117, 245)(113, 241, 120, 248)(114, 242, 126, 254)(118, 246, 128, 256)(119, 247, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 301, 429, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 325, 453, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 331, 459, 316, 444, 334, 462, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 338, 466, 308, 436, 337, 465, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 324, 452, 292, 420)(281, 409, 306, 434, 335, 463, 315, 443, 285, 413, 314, 442, 336, 464, 307, 435)(287, 415, 317, 445, 295, 423, 327, 455, 348, 476, 365, 493, 343, 471, 318, 446)(289, 417, 320, 448, 297, 425, 328, 456, 344, 472, 366, 494, 347, 475, 321, 449)(302, 430, 329, 457, 310, 438, 339, 467, 358, 486, 374, 502, 353, 481, 330, 458)(304, 432, 332, 460, 312, 440, 340, 468, 354, 482, 375, 503, 357, 485, 333, 461)(341, 469, 361, 489, 345, 473, 367, 495, 381, 509, 382, 510, 380, 508, 362, 490)(342, 470, 363, 491, 346, 474, 368, 496, 349, 477, 369, 497, 350, 478, 364, 492)(351, 479, 370, 498, 355, 483, 376, 504, 384, 512, 379, 507, 383, 511, 371, 499)(352, 480, 372, 500, 356, 484, 377, 505, 359, 487, 378, 506, 360, 488, 373, 501)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 314)(33, 272)(34, 306)(35, 305)(36, 313)(37, 274)(38, 309)(39, 275)(40, 315)(41, 276)(42, 307)(43, 303)(44, 311)(45, 278)(46, 279)(47, 299)(48, 280)(49, 291)(50, 290)(51, 298)(52, 282)(53, 294)(54, 283)(55, 300)(56, 284)(57, 292)(58, 288)(59, 296)(60, 286)(61, 341)(62, 342)(63, 344)(64, 345)(65, 346)(66, 348)(67, 335)(68, 336)(69, 343)(70, 347)(71, 349)(72, 350)(73, 351)(74, 352)(75, 354)(76, 355)(77, 356)(78, 358)(79, 323)(80, 324)(81, 353)(82, 357)(83, 359)(84, 360)(85, 317)(86, 318)(87, 325)(88, 319)(89, 320)(90, 321)(91, 326)(92, 322)(93, 327)(94, 328)(95, 329)(96, 330)(97, 337)(98, 331)(99, 332)(100, 333)(101, 338)(102, 334)(103, 339)(104, 340)(105, 379)(106, 372)(107, 371)(108, 377)(109, 381)(110, 380)(111, 378)(112, 373)(113, 376)(114, 382)(115, 363)(116, 362)(117, 368)(118, 384)(119, 383)(120, 369)(121, 364)(122, 367)(123, 361)(124, 366)(125, 365)(126, 370)(127, 375)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2710
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^4, Y2^2 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^8, (Y2 * Y1^-3)^2, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-2 * Y2^-4 * Y1^2 * Y2^4, Y1^-2 * Y2^-2 * Y1^2 * Y2^-6, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 77, 205, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 72, 200, 78, 206, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 71, 199, 84, 212, 44, 172, 17, 145)(10, 138, 25, 153, 60, 188, 93, 221, 113, 241, 83, 211, 43, 171, 27, 155)(12, 140, 30, 158, 65, 193, 80, 208, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 67, 195, 92, 220, 114, 242, 85, 213, 46, 174, 36, 164)(19, 147, 47, 175, 31, 159, 68, 196, 106, 234, 73, 201, 79, 207, 49, 177)(22, 150, 55, 183, 24, 152, 58, 186, 97, 225, 66, 194, 81, 209, 53, 181)(26, 154, 62, 190, 102, 230, 124, 252, 112, 240, 125, 253, 95, 223, 56, 184)(28, 156, 64, 192, 37, 165, 70, 198, 86, 214, 50, 178, 91, 219, 54, 182)(39, 167, 69, 197, 88, 216, 119, 247, 104, 232, 115, 243, 109, 237, 75, 203)(48, 176, 89, 217, 122, 250, 105, 233, 128, 256, 107, 235, 74, 202, 87, 215)(59, 187, 99, 227, 61, 189, 94, 222, 116, 244, 82, 210, 117, 245, 98, 226)(63, 191, 96, 224, 118, 246, 108, 236, 76, 204, 90, 218, 120, 248, 100, 228)(101, 229, 121, 249, 103, 231, 123, 251, 111, 239, 127, 255, 110, 238, 126, 254)(257, 385, 259, 387, 266, 394, 282, 410, 319, 447, 360, 488, 370, 498, 334, 462, 296, 424, 333, 461, 369, 497, 368, 496, 332, 460, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 346, 474, 380, 508, 353, 481, 327, 455, 290, 418, 328, 456, 362, 490, 384, 512, 352, 480, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 325, 453, 364, 492, 372, 500, 337, 465, 298, 426, 272, 400, 297, 425, 335, 463, 371, 499, 356, 484, 315, 443, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 338, 466, 374, 502, 361, 489, 323, 451, 286, 414, 269, 397, 289, 417, 316, 444, 355, 483, 376, 504, 343, 471, 302, 430, 274, 402)(267, 395, 284, 412, 321, 449, 294, 422, 331, 459, 367, 495, 373, 501, 339, 467, 313, 441, 342, 470, 301, 429, 341, 469, 375, 503, 357, 485, 317, 445, 281, 409)(270, 398, 292, 420, 330, 458, 366, 494, 381, 509, 349, 477, 308, 436, 347, 475, 307, 435, 348, 476, 378, 506, 359, 487, 318, 446, 283, 411, 300, 428, 293, 421)(276, 404, 306, 434, 279, 407, 311, 439, 351, 479, 383, 511, 365, 493, 329, 457, 291, 419, 320, 448, 285, 413, 322, 450, 358, 486, 377, 505, 344, 472, 303, 431)(277, 405, 309, 437, 350, 478, 382, 510, 363, 491, 324, 452, 288, 416, 326, 454, 340, 468, 314, 442, 354, 482, 379, 507, 345, 473, 305, 433, 336, 464, 310, 438)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 311)(24, 265)(25, 267)(26, 319)(27, 300)(28, 321)(29, 322)(30, 269)(31, 325)(32, 326)(33, 316)(34, 328)(35, 320)(36, 330)(37, 270)(38, 331)(39, 271)(40, 333)(41, 335)(42, 272)(43, 338)(44, 293)(45, 341)(46, 274)(47, 276)(48, 346)(49, 336)(50, 279)(51, 348)(52, 347)(53, 350)(54, 277)(55, 351)(56, 278)(57, 342)(58, 354)(59, 280)(60, 355)(61, 281)(62, 283)(63, 360)(64, 285)(65, 294)(66, 358)(67, 286)(68, 288)(69, 364)(70, 340)(71, 290)(72, 362)(73, 291)(74, 366)(75, 367)(76, 295)(77, 369)(78, 296)(79, 371)(80, 310)(81, 298)(82, 374)(83, 313)(84, 314)(85, 375)(86, 301)(87, 302)(88, 303)(89, 305)(90, 380)(91, 307)(92, 378)(93, 308)(94, 382)(95, 383)(96, 312)(97, 327)(98, 379)(99, 376)(100, 315)(101, 317)(102, 377)(103, 318)(104, 370)(105, 323)(106, 384)(107, 324)(108, 372)(109, 329)(110, 381)(111, 373)(112, 332)(113, 368)(114, 334)(115, 356)(116, 337)(117, 339)(118, 361)(119, 357)(120, 343)(121, 344)(122, 359)(123, 345)(124, 353)(125, 349)(126, 363)(127, 365)(128, 352)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2709
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|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 * Y2 * Y3^3, (Y3^-3 * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^3, Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3, (Y3^3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2)^8, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 303, 431)(280, 408, 305, 433)(282, 410, 309, 437)(283, 411, 311, 439)(284, 412, 313, 441)(286, 414, 317, 445)(288, 416, 321, 449)(290, 418, 322, 450)(291, 419, 324, 452)(292, 420, 326, 454)(294, 422, 318, 446)(296, 424, 330, 458)(298, 426, 333, 461)(299, 427, 334, 462)(300, 428, 320, 448)(302, 430, 310, 438)(304, 432, 340, 468)(306, 434, 341, 469)(307, 435, 343, 471)(308, 436, 345, 473)(312, 440, 349, 477)(314, 442, 352, 480)(315, 443, 353, 481)(316, 444, 339, 467)(319, 447, 357, 485)(323, 451, 347, 475)(325, 453, 344, 472)(327, 455, 354, 482)(328, 456, 342, 470)(329, 457, 363, 491)(331, 459, 355, 483)(332, 460, 367, 495)(335, 463, 346, 474)(336, 464, 350, 478)(337, 465, 366, 494)(338, 466, 370, 498)(348, 476, 376, 504)(351, 479, 380, 508)(356, 484, 379, 507)(358, 486, 372, 500)(359, 487, 371, 499)(360, 488, 373, 501)(361, 489, 382, 510)(362, 490, 378, 506)(364, 492, 381, 509)(365, 493, 375, 503)(368, 496, 377, 505)(369, 497, 374, 502)(383, 511, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 304)(24, 267)(25, 307)(26, 310)(27, 312)(28, 269)(29, 315)(30, 270)(31, 319)(32, 305)(33, 317)(34, 272)(35, 325)(36, 273)(37, 311)(38, 329)(39, 314)(40, 331)(41, 324)(42, 276)(43, 335)(44, 277)(45, 336)(46, 278)(47, 338)(48, 289)(49, 301)(50, 280)(51, 344)(52, 281)(53, 295)(54, 348)(55, 298)(56, 350)(57, 343)(58, 284)(59, 354)(60, 285)(61, 355)(62, 286)(63, 358)(64, 287)(65, 360)(66, 346)(67, 290)(68, 364)(69, 300)(70, 347)(71, 292)(72, 293)(73, 365)(74, 361)(75, 366)(76, 297)(77, 362)(78, 368)(79, 349)(80, 353)(81, 302)(82, 371)(83, 303)(84, 373)(85, 327)(86, 306)(87, 377)(88, 316)(89, 328)(90, 308)(91, 309)(92, 378)(93, 374)(94, 379)(95, 313)(96, 375)(97, 381)(98, 330)(99, 334)(100, 318)(101, 383)(102, 326)(103, 320)(104, 333)(105, 321)(106, 322)(107, 323)(108, 376)(109, 370)(110, 372)(111, 382)(112, 332)(113, 337)(114, 384)(115, 345)(116, 339)(117, 352)(118, 340)(119, 341)(120, 342)(121, 363)(122, 357)(123, 359)(124, 369)(125, 351)(126, 356)(127, 367)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2708
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3, (Y1^3 * Y3 * Y1^-1 * Y3)^2, (Y3 * Y1 * Y3 * Y1^-3)^2, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, Y1^16, (Y3 * Y1^-1)^8 ]
Map::
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 47, 175, 82, 210, 114, 242, 128, 256, 127, 255, 113, 241, 81, 209, 46, 174, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 63, 191, 101, 229, 125, 253, 95, 223, 124, 252, 111, 239, 118, 246, 84, 212, 48, 176, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 55, 183, 45, 173, 80, 208, 109, 237, 121, 249, 107, 235, 70, 198, 102, 230, 116, 244, 83, 211, 62, 190, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 74, 202, 110, 238, 122, 250, 104, 232, 67, 195, 103, 231, 120, 248, 86, 214, 50, 178, 24, 152, 49, 177, 42, 170, 20, 148)(12, 140, 25, 153, 51, 179, 44, 172, 21, 149, 43, 171, 78, 206, 106, 234, 126, 254, 98, 226, 123, 251, 108, 236, 115, 243, 92, 220, 54, 182, 26, 154)(16, 144, 33, 161, 60, 188, 29, 157, 59, 187, 97, 225, 79, 207, 112, 240, 76, 204, 41, 169, 52, 180, 88, 216, 119, 247, 85, 213, 68, 196, 34, 162)(17, 145, 35, 163, 69, 197, 105, 233, 117, 245, 96, 224, 58, 186, 28, 156, 57, 185, 90, 218, 53, 181, 89, 217, 64, 192, 40, 168, 71, 199, 36, 164)(32, 160, 65, 193, 87, 215, 73, 201, 37, 165, 72, 200, 91, 219, 75, 203, 94, 222, 56, 184, 93, 221, 77, 205, 100, 228, 61, 189, 99, 227, 66, 194)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 304)(24, 267)(25, 308)(26, 309)(27, 312)(28, 269)(29, 270)(30, 317)(31, 320)(32, 271)(33, 323)(34, 311)(35, 305)(36, 326)(37, 274)(38, 315)(39, 331)(40, 275)(41, 276)(42, 333)(43, 335)(44, 314)(45, 278)(46, 319)(47, 339)(48, 279)(49, 291)(50, 341)(51, 343)(52, 281)(53, 282)(54, 347)(55, 290)(56, 283)(57, 351)(58, 300)(59, 294)(60, 354)(61, 286)(62, 345)(63, 302)(64, 287)(65, 358)(66, 342)(67, 289)(68, 348)(69, 362)(70, 292)(71, 364)(72, 365)(73, 360)(74, 353)(75, 295)(76, 367)(77, 298)(78, 355)(79, 299)(80, 361)(81, 366)(82, 371)(83, 303)(84, 373)(85, 306)(86, 322)(87, 307)(88, 377)(89, 318)(90, 378)(91, 310)(92, 324)(93, 379)(94, 374)(95, 313)(96, 376)(97, 330)(98, 316)(99, 334)(100, 381)(101, 375)(102, 321)(103, 370)(104, 329)(105, 336)(106, 325)(107, 383)(108, 327)(109, 328)(110, 337)(111, 332)(112, 372)(113, 382)(114, 359)(115, 338)(116, 368)(117, 340)(118, 350)(119, 357)(120, 352)(121, 344)(122, 346)(123, 349)(124, 384)(125, 356)(126, 369)(127, 363)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2707
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * R * Y2 * R, Y1 * R * Y2 * R * Y1 * Y2, (R * Y2 * Y3^-1)^2, (R * Y2^-3 * Y1)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, Y2 * Y1 * Y2^3 * R * Y2^-1 * R * Y2^-1 * Y1, Y2^-2 * Y1 * Y2 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2^-1, (Y2^3 * Y1 * Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^16, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 47, 175)(24, 152, 49, 177)(26, 154, 53, 181)(27, 155, 55, 183)(28, 156, 57, 185)(30, 158, 61, 189)(32, 160, 65, 193)(34, 162, 66, 194)(35, 163, 68, 196)(36, 164, 70, 198)(38, 166, 62, 190)(40, 168, 74, 202)(42, 170, 77, 205)(43, 171, 78, 206)(44, 172, 64, 192)(46, 174, 54, 182)(48, 176, 84, 212)(50, 178, 85, 213)(51, 179, 87, 215)(52, 180, 89, 217)(56, 184, 93, 221)(58, 186, 96, 224)(59, 187, 97, 225)(60, 188, 83, 211)(63, 191, 101, 229)(67, 195, 91, 219)(69, 197, 88, 216)(71, 199, 98, 226)(72, 200, 86, 214)(73, 201, 107, 235)(75, 203, 99, 227)(76, 204, 111, 239)(79, 207, 90, 218)(80, 208, 94, 222)(81, 209, 110, 238)(82, 210, 114, 242)(92, 220, 120, 248)(95, 223, 124, 252)(100, 228, 123, 251)(102, 230, 116, 244)(103, 231, 115, 243)(104, 232, 117, 245)(105, 233, 126, 254)(106, 234, 122, 250)(108, 236, 125, 253)(109, 237, 119, 247)(112, 240, 121, 249)(113, 241, 118, 246)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 329, 457, 365, 493, 370, 498, 384, 512, 380, 508, 369, 497, 337, 465, 302, 430, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 310, 438, 348, 476, 378, 506, 357, 485, 383, 511, 367, 495, 382, 510, 356, 484, 318, 446, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 305, 433, 301, 429, 336, 464, 353, 481, 381, 509, 351, 479, 313, 441, 343, 471, 377, 505, 363, 491, 323, 451, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 331, 459, 366, 494, 372, 500, 339, 467, 303, 431, 338, 466, 371, 499, 345, 473, 328, 456, 293, 421, 311, 439, 298, 426, 276, 404)(267, 395, 279, 407, 304, 432, 289, 417, 317, 445, 355, 483, 334, 462, 368, 496, 332, 460, 297, 425, 324, 452, 364, 492, 376, 504, 342, 470, 306, 434, 280, 408)(269, 397, 283, 411, 312, 440, 350, 478, 379, 507, 359, 487, 320, 448, 287, 415, 319, 447, 358, 486, 326, 454, 347, 475, 309, 437, 295, 423, 314, 442, 284, 412)(273, 401, 291, 419, 325, 453, 300, 428, 277, 405, 299, 427, 335, 463, 349, 477, 374, 502, 340, 468, 373, 501, 352, 480, 375, 503, 341, 469, 327, 455, 292, 420)(281, 409, 307, 435, 344, 472, 316, 444, 285, 413, 315, 443, 354, 482, 330, 458, 361, 489, 321, 449, 360, 488, 333, 461, 362, 490, 322, 450, 346, 474, 308, 436)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 303)(24, 305)(25, 268)(26, 309)(27, 311)(28, 313)(29, 270)(30, 317)(31, 271)(32, 321)(33, 272)(34, 322)(35, 324)(36, 326)(37, 274)(38, 318)(39, 275)(40, 330)(41, 276)(42, 333)(43, 334)(44, 320)(45, 278)(46, 310)(47, 279)(48, 340)(49, 280)(50, 341)(51, 343)(52, 345)(53, 282)(54, 302)(55, 283)(56, 349)(57, 284)(58, 352)(59, 353)(60, 339)(61, 286)(62, 294)(63, 357)(64, 300)(65, 288)(66, 290)(67, 347)(68, 291)(69, 344)(70, 292)(71, 354)(72, 342)(73, 363)(74, 296)(75, 355)(76, 367)(77, 298)(78, 299)(79, 346)(80, 350)(81, 366)(82, 370)(83, 316)(84, 304)(85, 306)(86, 328)(87, 307)(88, 325)(89, 308)(90, 335)(91, 323)(92, 376)(93, 312)(94, 336)(95, 380)(96, 314)(97, 315)(98, 327)(99, 331)(100, 379)(101, 319)(102, 372)(103, 371)(104, 373)(105, 382)(106, 378)(107, 329)(108, 381)(109, 375)(110, 337)(111, 332)(112, 377)(113, 374)(114, 338)(115, 359)(116, 358)(117, 360)(118, 369)(119, 365)(120, 348)(121, 368)(122, 362)(123, 356)(124, 351)(125, 364)(126, 361)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2712
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C2 (small group id <128, 73>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^-2 * Y1, (Y3 * Y1^-3)^2, Y1^8, (Y3 * Y1^-1)^4, Y1^-1 * Y3^-3 * Y1 * Y3 * Y1^-1 * Y3^-4 * Y1^-1, Y3^2 * Y1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 77, 205, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 72, 200, 78, 206, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 71, 199, 84, 212, 44, 172, 17, 145)(10, 138, 25, 153, 60, 188, 93, 221, 113, 241, 83, 211, 43, 171, 27, 155)(12, 140, 30, 158, 65, 193, 80, 208, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 67, 195, 92, 220, 114, 242, 85, 213, 46, 174, 36, 164)(19, 147, 47, 175, 31, 159, 68, 196, 106, 234, 73, 201, 79, 207, 49, 177)(22, 150, 55, 183, 24, 152, 58, 186, 97, 225, 66, 194, 81, 209, 53, 181)(26, 154, 62, 190, 102, 230, 124, 252, 112, 240, 125, 253, 95, 223, 56, 184)(28, 156, 64, 192, 37, 165, 70, 198, 86, 214, 50, 178, 91, 219, 54, 182)(39, 167, 69, 197, 88, 216, 119, 247, 104, 232, 115, 243, 109, 237, 75, 203)(48, 176, 89, 217, 122, 250, 105, 233, 128, 256, 107, 235, 74, 202, 87, 215)(59, 187, 99, 227, 61, 189, 94, 222, 116, 244, 82, 210, 117, 245, 98, 226)(63, 191, 96, 224, 118, 246, 108, 236, 76, 204, 90, 218, 120, 248, 100, 228)(101, 229, 121, 249, 103, 231, 123, 251, 111, 239, 127, 255, 110, 238, 126, 254)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 311)(24, 265)(25, 267)(26, 319)(27, 300)(28, 321)(29, 322)(30, 269)(31, 325)(32, 326)(33, 316)(34, 328)(35, 320)(36, 330)(37, 270)(38, 331)(39, 271)(40, 333)(41, 335)(42, 272)(43, 338)(44, 293)(45, 341)(46, 274)(47, 276)(48, 346)(49, 336)(50, 279)(51, 348)(52, 347)(53, 350)(54, 277)(55, 351)(56, 278)(57, 342)(58, 354)(59, 280)(60, 355)(61, 281)(62, 283)(63, 360)(64, 285)(65, 294)(66, 358)(67, 286)(68, 288)(69, 364)(70, 340)(71, 290)(72, 362)(73, 291)(74, 366)(75, 367)(76, 295)(77, 369)(78, 296)(79, 371)(80, 310)(81, 298)(82, 374)(83, 313)(84, 314)(85, 375)(86, 301)(87, 302)(88, 303)(89, 305)(90, 380)(91, 307)(92, 378)(93, 308)(94, 382)(95, 383)(96, 312)(97, 327)(98, 379)(99, 376)(100, 315)(101, 317)(102, 377)(103, 318)(104, 370)(105, 323)(106, 384)(107, 324)(108, 372)(109, 329)(110, 381)(111, 373)(112, 332)(113, 368)(114, 334)(115, 356)(116, 337)(117, 339)(118, 361)(119, 357)(120, 343)(121, 344)(122, 359)(123, 345)(124, 353)(125, 349)(126, 363)(127, 365)(128, 352)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2711
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2713 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2 * T1^-3)^2, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, T1^16, (T1^-1 * T2)^8 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 80, 109, 125, 124, 108, 79, 46, 22, 10, 4)(3, 7, 15, 31, 63, 94, 118, 92, 117, 105, 111, 82, 48, 38, 18, 8)(6, 13, 27, 55, 45, 78, 107, 115, 103, 70, 101, 67, 81, 62, 30, 14)(9, 19, 39, 74, 102, 69, 100, 66, 99, 114, 85, 50, 24, 49, 42, 20)(12, 25, 51, 44, 21, 43, 77, 106, 120, 95, 119, 93, 110, 90, 54, 26)(16, 33, 52, 87, 73, 104, 116, 91, 76, 41, 60, 29, 59, 84, 68, 34)(17, 35, 53, 88, 75, 40, 58, 28, 57, 83, 112, 96, 64, 97, 71, 36)(32, 56, 86, 72, 37, 61, 89, 113, 126, 123, 128, 122, 127, 121, 98, 65)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 63)(47, 81)(49, 83)(50, 84)(51, 86)(54, 89)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 104)(75, 82)(76, 105)(77, 98)(78, 88)(79, 102)(80, 110)(85, 113)(87, 115)(90, 116)(97, 114)(99, 109)(100, 122)(101, 123)(103, 124)(106, 112)(107, 121)(108, 120)(111, 126)(117, 125)(118, 127)(119, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2714
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2714 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^16 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 50, 76, 70, 90, 65, 34)(17, 35, 51, 77, 61, 85, 68, 36)(28, 55, 73, 95, 84, 71, 40, 56)(29, 57, 74, 96, 79, 72, 41, 58)(32, 54, 75, 69, 37, 59, 78, 62)(63, 86, 105, 123, 110, 91, 66, 87)(64, 88, 98, 116, 97, 92, 67, 89)(80, 99, 94, 113, 93, 103, 82, 100)(81, 101, 115, 126, 114, 104, 83, 102)(106, 121, 112, 119, 111, 117, 108, 122)(107, 124, 127, 120, 128, 118, 109, 125)
	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, 61)(33, 63)(34, 64)(35, 66)(36, 67)(38, 70)(39, 62)(42, 69)(43, 65)(44, 68)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 93)(72, 94)(76, 97)(77, 98)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 114)(96, 115)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 124)(116, 127)(123, 128)(125, 126)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2713
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2715 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-1 * T1 * T2^-3)^2, T2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^16 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 45, 66, 34, 16)(9, 19, 40, 70, 37, 69, 42, 20)(11, 23, 47, 75, 60, 78, 49, 24)(13, 27, 55, 82, 52, 81, 57, 28)(17, 35, 67, 44, 21, 43, 68, 36)(25, 50, 79, 59, 29, 58, 80, 51)(31, 61, 86, 107, 92, 71, 39, 62)(33, 64, 90, 110, 88, 72, 41, 65)(46, 73, 96, 116, 102, 83, 54, 74)(48, 76, 100, 119, 98, 84, 56, 77)(85, 105, 94, 113, 93, 111, 89, 106)(87, 108, 124, 128, 123, 112, 91, 109)(95, 114, 104, 122, 103, 120, 99, 115)(97, 117, 127, 125, 126, 121, 101, 118)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 178)(162, 186)(163, 175)(164, 183)(166, 181)(168, 179)(170, 187)(171, 177)(172, 185)(189, 213)(190, 215)(191, 216)(192, 217)(193, 219)(194, 220)(195, 207)(196, 208)(197, 214)(198, 218)(199, 221)(200, 222)(201, 223)(202, 225)(203, 226)(204, 227)(205, 229)(206, 230)(209, 224)(210, 228)(211, 231)(212, 232)(233, 248)(234, 249)(235, 251)(236, 250)(237, 253)(238, 252)(239, 242)(240, 243)(241, 245)(244, 254)(246, 256)(247, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2719
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2716 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T1^8, (T2 * T1^-1)^4, (T2^-3 * T1)^2, T1^-2 * T2^8 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 99, 109, 75, 40, 74, 108, 107, 73, 39, 15, 5)(2, 7, 19, 48, 87, 121, 94, 69, 34, 70, 104, 124, 90, 56, 22, 8)(4, 12, 31, 67, 103, 114, 78, 42, 16, 41, 76, 111, 96, 60, 24, 9)(6, 17, 43, 80, 116, 101, 66, 30, 13, 33, 64, 95, 118, 84, 46, 18)(11, 28, 45, 38, 72, 106, 125, 92, 57, 91, 65, 100, 126, 97, 61, 25)(14, 36, 71, 105, 115, 79, 44, 81, 51, 83, 117, 98, 62, 27, 52, 37)(20, 50, 29, 55, 89, 123, 102, 68, 35, 59, 23, 58, 93, 119, 85, 47)(21, 53, 88, 122, 127, 110, 77, 112, 82, 113, 128, 120, 86, 49, 32, 54)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 202, 170, 157, 139)(133, 142, 163, 198, 203, 179, 148, 135)(136, 149, 180, 161, 197, 210, 172, 145)(138, 153, 171, 207, 236, 220, 192, 155)(140, 158, 193, 205, 169, 146, 173, 160)(143, 166, 174, 211, 237, 228, 194, 164)(147, 175, 204, 238, 232, 196, 159, 177)(150, 183, 206, 241, 222, 186, 152, 181)(154, 190, 221, 249, 235, 243, 217, 184)(156, 178, 209, 240, 219, 187, 165, 182)(167, 195, 230, 254, 227, 239, 213, 200)(176, 214, 199, 229, 252, 255, 245, 212)(188, 223, 253, 256, 242, 208, 189, 216)(191, 218, 244, 231, 201, 215, 246, 224)(225, 251, 233, 248, 234, 247, 226, 250)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2720
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2717 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2 * T1^-3)^2, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, T1^16, (T2 * T1^-1)^8 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 63)(47, 81)(49, 83)(50, 84)(51, 86)(54, 89)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 104)(75, 82)(76, 105)(77, 98)(78, 88)(79, 102)(80, 110)(85, 113)(87, 115)(90, 116)(97, 114)(99, 109)(100, 122)(101, 123)(103, 124)(106, 112)(107, 121)(108, 120)(111, 126)(117, 125)(118, 127)(119, 128)(129, 130, 133, 139, 151, 175, 208, 237, 253, 252, 236, 207, 174, 150, 138, 132)(131, 135, 143, 159, 191, 222, 246, 220, 245, 233, 239, 210, 176, 166, 146, 136)(134, 141, 155, 183, 173, 206, 235, 243, 231, 198, 229, 195, 209, 190, 158, 142)(137, 147, 167, 202, 230, 197, 228, 194, 227, 242, 213, 178, 152, 177, 170, 148)(140, 153, 179, 172, 149, 171, 205, 234, 248, 223, 247, 221, 238, 218, 182, 154)(144, 161, 180, 215, 201, 232, 244, 219, 204, 169, 188, 157, 187, 212, 196, 162)(145, 163, 181, 216, 203, 168, 186, 156, 185, 211, 240, 224, 192, 225, 199, 164)(160, 184, 214, 200, 165, 189, 217, 241, 254, 251, 256, 250, 255, 249, 226, 193)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2718
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2718 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-1 * T1 * T2^-3)^2, T2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^16 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 45, 173, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 69, 197, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 75, 203, 60, 188, 78, 206, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 82, 210, 52, 180, 81, 209, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 68, 196, 36, 164)(25, 153, 50, 178, 79, 207, 59, 187, 29, 157, 58, 186, 80, 208, 51, 179)(31, 159, 61, 189, 86, 214, 107, 235, 92, 220, 71, 199, 39, 167, 62, 190)(33, 161, 64, 192, 90, 218, 110, 238, 88, 216, 72, 200, 41, 169, 65, 193)(46, 174, 73, 201, 96, 224, 116, 244, 102, 230, 83, 211, 54, 182, 74, 202)(48, 176, 76, 204, 100, 228, 119, 247, 98, 226, 84, 212, 56, 184, 77, 205)(85, 213, 105, 233, 94, 222, 113, 241, 93, 221, 111, 239, 89, 217, 106, 234)(87, 215, 108, 236, 124, 252, 128, 256, 123, 251, 112, 240, 91, 219, 109, 237)(95, 223, 114, 242, 104, 232, 122, 250, 103, 231, 120, 248, 99, 227, 115, 243)(97, 225, 117, 245, 127, 255, 125, 253, 126, 254, 121, 249, 101, 229, 118, 246)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 178)(33, 144)(34, 186)(35, 175)(36, 183)(37, 146)(38, 181)(39, 147)(40, 179)(41, 148)(42, 187)(43, 177)(44, 185)(45, 150)(46, 151)(47, 163)(48, 152)(49, 171)(50, 160)(51, 168)(52, 154)(53, 166)(54, 155)(55, 164)(56, 156)(57, 172)(58, 162)(59, 170)(60, 158)(61, 213)(62, 215)(63, 216)(64, 217)(65, 219)(66, 220)(67, 207)(68, 208)(69, 214)(70, 218)(71, 221)(72, 222)(73, 223)(74, 225)(75, 226)(76, 227)(77, 229)(78, 230)(79, 195)(80, 196)(81, 224)(82, 228)(83, 231)(84, 232)(85, 189)(86, 197)(87, 190)(88, 191)(89, 192)(90, 198)(91, 193)(92, 194)(93, 199)(94, 200)(95, 201)(96, 209)(97, 202)(98, 203)(99, 204)(100, 210)(101, 205)(102, 206)(103, 211)(104, 212)(105, 248)(106, 249)(107, 251)(108, 250)(109, 253)(110, 252)(111, 242)(112, 243)(113, 245)(114, 239)(115, 240)(116, 254)(117, 241)(118, 256)(119, 255)(120, 233)(121, 234)(122, 236)(123, 235)(124, 238)(125, 237)(126, 244)(127, 247)(128, 246)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2717
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2719 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, T1^8, (T2 * T1^-1)^4, (T2^-3 * T1)^2, T1^-2 * T2^8 * T1^-2 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 26, 154, 63, 191, 99, 227, 109, 237, 75, 203, 40, 168, 74, 202, 108, 236, 107, 235, 73, 201, 39, 167, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 48, 176, 87, 215, 121, 249, 94, 222, 69, 197, 34, 162, 70, 198, 104, 232, 124, 252, 90, 218, 56, 184, 22, 150, 8, 136)(4, 132, 12, 140, 31, 159, 67, 195, 103, 231, 114, 242, 78, 206, 42, 170, 16, 144, 41, 169, 76, 204, 111, 239, 96, 224, 60, 188, 24, 152, 9, 137)(6, 134, 17, 145, 43, 171, 80, 208, 116, 244, 101, 229, 66, 194, 30, 158, 13, 141, 33, 161, 64, 192, 95, 223, 118, 246, 84, 212, 46, 174, 18, 146)(11, 139, 28, 156, 45, 173, 38, 166, 72, 200, 106, 234, 125, 253, 92, 220, 57, 185, 91, 219, 65, 193, 100, 228, 126, 254, 97, 225, 61, 189, 25, 153)(14, 142, 36, 164, 71, 199, 105, 233, 115, 243, 79, 207, 44, 172, 81, 209, 51, 179, 83, 211, 117, 245, 98, 226, 62, 190, 27, 155, 52, 180, 37, 165)(20, 148, 50, 178, 29, 157, 55, 183, 89, 217, 123, 251, 102, 230, 68, 196, 35, 163, 59, 187, 23, 151, 58, 186, 93, 221, 119, 247, 85, 213, 47, 175)(21, 149, 53, 181, 88, 216, 122, 250, 127, 255, 110, 238, 77, 205, 112, 240, 82, 210, 113, 241, 128, 256, 120, 248, 86, 214, 49, 177, 32, 160, 54, 182)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 151)(10, 153)(11, 131)(12, 158)(13, 132)(14, 163)(15, 166)(16, 168)(17, 136)(18, 173)(19, 175)(20, 135)(21, 180)(22, 183)(23, 185)(24, 181)(25, 171)(26, 190)(27, 138)(28, 178)(29, 139)(30, 193)(31, 177)(32, 140)(33, 197)(34, 141)(35, 198)(36, 143)(37, 182)(38, 174)(39, 195)(40, 162)(41, 146)(42, 157)(43, 207)(44, 145)(45, 160)(46, 211)(47, 204)(48, 214)(49, 147)(50, 209)(51, 148)(52, 161)(53, 150)(54, 156)(55, 206)(56, 154)(57, 202)(58, 152)(59, 165)(60, 223)(61, 216)(62, 221)(63, 218)(64, 155)(65, 205)(66, 164)(67, 230)(68, 159)(69, 210)(70, 203)(71, 229)(72, 167)(73, 215)(74, 170)(75, 179)(76, 238)(77, 169)(78, 241)(79, 236)(80, 189)(81, 240)(82, 172)(83, 237)(84, 176)(85, 200)(86, 199)(87, 246)(88, 188)(89, 184)(90, 244)(91, 187)(92, 192)(93, 249)(94, 186)(95, 253)(96, 191)(97, 251)(98, 250)(99, 239)(100, 194)(101, 252)(102, 254)(103, 201)(104, 196)(105, 248)(106, 247)(107, 243)(108, 220)(109, 228)(110, 232)(111, 213)(112, 219)(113, 222)(114, 208)(115, 217)(116, 231)(117, 212)(118, 224)(119, 226)(120, 234)(121, 235)(122, 225)(123, 233)(124, 255)(125, 256)(126, 227)(127, 245)(128, 242)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2715
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2720 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2 * T1^-3)^2, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, T1^16, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 53, 181)(27, 155, 56, 184)(30, 158, 61, 189)(31, 159, 64, 192)(33, 161, 66, 194)(34, 162, 67, 195)(35, 163, 69, 197)(36, 164, 70, 198)(38, 166, 73, 201)(39, 167, 65, 193)(42, 170, 72, 200)(43, 171, 68, 196)(44, 172, 71, 199)(46, 174, 63, 191)(47, 175, 81, 209)(49, 177, 83, 211)(50, 178, 84, 212)(51, 179, 86, 214)(54, 182, 89, 217)(55, 183, 91, 219)(57, 185, 92, 220)(58, 186, 93, 221)(59, 187, 94, 222)(60, 188, 95, 223)(62, 190, 96, 224)(74, 202, 104, 232)(75, 203, 82, 210)(76, 204, 105, 233)(77, 205, 98, 226)(78, 206, 88, 216)(79, 207, 102, 230)(80, 208, 110, 238)(85, 213, 113, 241)(87, 215, 115, 243)(90, 218, 116, 244)(97, 225, 114, 242)(99, 227, 109, 237)(100, 228, 122, 250)(101, 229, 123, 251)(103, 231, 124, 252)(106, 234, 112, 240)(107, 235, 121, 249)(108, 236, 120, 248)(111, 239, 126, 254)(117, 245, 125, 253)(118, 246, 127, 255)(119, 247, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 175)(24, 177)(25, 179)(26, 140)(27, 183)(28, 185)(29, 187)(30, 142)(31, 191)(32, 184)(33, 180)(34, 144)(35, 181)(36, 145)(37, 189)(38, 146)(39, 202)(40, 186)(41, 188)(42, 148)(43, 205)(44, 149)(45, 206)(46, 150)(47, 208)(48, 166)(49, 170)(50, 152)(51, 172)(52, 215)(53, 216)(54, 154)(55, 173)(56, 214)(57, 211)(58, 156)(59, 212)(60, 157)(61, 217)(62, 158)(63, 222)(64, 225)(65, 160)(66, 227)(67, 209)(68, 162)(69, 228)(70, 229)(71, 164)(72, 165)(73, 232)(74, 230)(75, 168)(76, 169)(77, 234)(78, 235)(79, 174)(80, 237)(81, 190)(82, 176)(83, 240)(84, 196)(85, 178)(86, 200)(87, 201)(88, 203)(89, 241)(90, 182)(91, 204)(92, 245)(93, 238)(94, 246)(95, 247)(96, 192)(97, 199)(98, 193)(99, 242)(100, 194)(101, 195)(102, 197)(103, 198)(104, 244)(105, 239)(106, 248)(107, 243)(108, 207)(109, 253)(110, 218)(111, 210)(112, 224)(113, 254)(114, 213)(115, 231)(116, 219)(117, 233)(118, 220)(119, 221)(120, 223)(121, 226)(122, 255)(123, 256)(124, 236)(125, 252)(126, 251)(127, 249)(128, 250)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2716
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2^8, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-2 * R * Y2^-2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y2^-2 * Y1 * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 50, 178)(34, 162, 58, 186)(35, 163, 47, 175)(36, 164, 55, 183)(38, 166, 53, 181)(40, 168, 51, 179)(42, 170, 59, 187)(43, 171, 49, 177)(44, 172, 57, 185)(61, 189, 85, 213)(62, 190, 87, 215)(63, 191, 88, 216)(64, 192, 89, 217)(65, 193, 91, 219)(66, 194, 92, 220)(67, 195, 79, 207)(68, 196, 80, 208)(69, 197, 86, 214)(70, 198, 90, 218)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 97, 225)(75, 203, 98, 226)(76, 204, 99, 227)(77, 205, 101, 229)(78, 206, 102, 230)(81, 209, 96, 224)(82, 210, 100, 228)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 120, 248)(106, 234, 121, 249)(107, 235, 123, 251)(108, 236, 122, 250)(109, 237, 125, 253)(110, 238, 124, 252)(111, 239, 114, 242)(112, 240, 115, 243)(113, 241, 117, 245)(116, 244, 126, 254)(118, 246, 128, 256)(119, 247, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 301, 429, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 325, 453, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 331, 459, 316, 444, 334, 462, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 338, 466, 308, 436, 337, 465, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 324, 452, 292, 420)(281, 409, 306, 434, 335, 463, 315, 443, 285, 413, 314, 442, 336, 464, 307, 435)(287, 415, 317, 445, 342, 470, 363, 491, 348, 476, 327, 455, 295, 423, 318, 446)(289, 417, 320, 448, 346, 474, 366, 494, 344, 472, 328, 456, 297, 425, 321, 449)(302, 430, 329, 457, 352, 480, 372, 500, 358, 486, 339, 467, 310, 438, 330, 458)(304, 432, 332, 460, 356, 484, 375, 503, 354, 482, 340, 468, 312, 440, 333, 461)(341, 469, 361, 489, 350, 478, 369, 497, 349, 477, 367, 495, 345, 473, 362, 490)(343, 471, 364, 492, 380, 508, 384, 512, 379, 507, 368, 496, 347, 475, 365, 493)(351, 479, 370, 498, 360, 488, 378, 506, 359, 487, 376, 504, 355, 483, 371, 499)(353, 481, 373, 501, 383, 511, 381, 509, 382, 510, 377, 505, 357, 485, 374, 502)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 306)(33, 272)(34, 314)(35, 303)(36, 311)(37, 274)(38, 309)(39, 275)(40, 307)(41, 276)(42, 315)(43, 305)(44, 313)(45, 278)(46, 279)(47, 291)(48, 280)(49, 299)(50, 288)(51, 296)(52, 282)(53, 294)(54, 283)(55, 292)(56, 284)(57, 300)(58, 290)(59, 298)(60, 286)(61, 341)(62, 343)(63, 344)(64, 345)(65, 347)(66, 348)(67, 335)(68, 336)(69, 342)(70, 346)(71, 349)(72, 350)(73, 351)(74, 353)(75, 354)(76, 355)(77, 357)(78, 358)(79, 323)(80, 324)(81, 352)(82, 356)(83, 359)(84, 360)(85, 317)(86, 325)(87, 318)(88, 319)(89, 320)(90, 326)(91, 321)(92, 322)(93, 327)(94, 328)(95, 329)(96, 337)(97, 330)(98, 331)(99, 332)(100, 338)(101, 333)(102, 334)(103, 339)(104, 340)(105, 376)(106, 377)(107, 379)(108, 378)(109, 381)(110, 380)(111, 370)(112, 371)(113, 373)(114, 367)(115, 368)(116, 382)(117, 369)(118, 384)(119, 383)(120, 361)(121, 362)(122, 364)(123, 363)(124, 366)(125, 365)(126, 372)(127, 375)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2724
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-2 * Y2 * Y1^-1, (Y2^-2 * Y1 * Y2^-1)^2, (Y2 * Y1^-1)^4, Y1^8, (Y2 * Y1^-3)^2, Y2^2 * Y1^-1 * Y2^-4 * Y1^-3 * Y2^2, Y2^16 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 74, 202, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 70, 198, 75, 203, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 69, 197, 82, 210, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 79, 207, 108, 236, 92, 220, 64, 192, 27, 155)(12, 140, 30, 158, 65, 193, 77, 205, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 46, 174, 83, 211, 109, 237, 100, 228, 66, 194, 36, 164)(19, 147, 47, 175, 76, 204, 110, 238, 104, 232, 68, 196, 31, 159, 49, 177)(22, 150, 55, 183, 78, 206, 113, 241, 94, 222, 58, 186, 24, 152, 53, 181)(26, 154, 62, 190, 93, 221, 121, 249, 107, 235, 115, 243, 89, 217, 56, 184)(28, 156, 50, 178, 81, 209, 112, 240, 91, 219, 59, 187, 37, 165, 54, 182)(39, 167, 67, 195, 102, 230, 126, 254, 99, 227, 111, 239, 85, 213, 72, 200)(48, 176, 86, 214, 71, 199, 101, 229, 124, 252, 127, 255, 117, 245, 84, 212)(60, 188, 95, 223, 125, 253, 128, 256, 114, 242, 80, 208, 61, 189, 88, 216)(63, 191, 90, 218, 116, 244, 103, 231, 73, 201, 87, 215, 118, 246, 96, 224)(97, 225, 123, 251, 105, 233, 120, 248, 106, 234, 119, 247, 98, 226, 122, 250)(257, 385, 259, 387, 266, 394, 282, 410, 319, 447, 355, 483, 365, 493, 331, 459, 296, 424, 330, 458, 364, 492, 363, 491, 329, 457, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 343, 471, 377, 505, 350, 478, 325, 453, 290, 418, 326, 454, 360, 488, 380, 508, 346, 474, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 323, 451, 359, 487, 370, 498, 334, 462, 298, 426, 272, 400, 297, 425, 332, 460, 367, 495, 352, 480, 316, 444, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 336, 464, 372, 500, 357, 485, 322, 450, 286, 414, 269, 397, 289, 417, 320, 448, 351, 479, 374, 502, 340, 468, 302, 430, 274, 402)(267, 395, 284, 412, 301, 429, 294, 422, 328, 456, 362, 490, 381, 509, 348, 476, 313, 441, 347, 475, 321, 449, 356, 484, 382, 510, 353, 481, 317, 445, 281, 409)(270, 398, 292, 420, 327, 455, 361, 489, 371, 499, 335, 463, 300, 428, 337, 465, 307, 435, 339, 467, 373, 501, 354, 482, 318, 446, 283, 411, 308, 436, 293, 421)(276, 404, 306, 434, 285, 413, 311, 439, 345, 473, 379, 507, 358, 486, 324, 452, 291, 419, 315, 443, 279, 407, 314, 442, 349, 477, 375, 503, 341, 469, 303, 431)(277, 405, 309, 437, 344, 472, 378, 506, 383, 511, 366, 494, 333, 461, 368, 496, 338, 466, 369, 497, 384, 512, 376, 504, 342, 470, 305, 433, 288, 416, 310, 438)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 319)(27, 308)(28, 301)(29, 311)(30, 269)(31, 323)(32, 310)(33, 320)(34, 326)(35, 315)(36, 327)(37, 270)(38, 328)(39, 271)(40, 330)(41, 332)(42, 272)(43, 336)(44, 337)(45, 294)(46, 274)(47, 276)(48, 343)(49, 288)(50, 285)(51, 339)(52, 293)(53, 344)(54, 277)(55, 345)(56, 278)(57, 347)(58, 349)(59, 279)(60, 280)(61, 281)(62, 283)(63, 355)(64, 351)(65, 356)(66, 286)(67, 359)(68, 291)(69, 290)(70, 360)(71, 361)(72, 362)(73, 295)(74, 364)(75, 296)(76, 367)(77, 368)(78, 298)(79, 300)(80, 372)(81, 307)(82, 369)(83, 373)(84, 302)(85, 303)(86, 305)(87, 377)(88, 378)(89, 379)(90, 312)(91, 321)(92, 313)(93, 375)(94, 325)(95, 374)(96, 316)(97, 317)(98, 318)(99, 365)(100, 382)(101, 322)(102, 324)(103, 370)(104, 380)(105, 371)(106, 381)(107, 329)(108, 363)(109, 331)(110, 333)(111, 352)(112, 338)(113, 384)(114, 334)(115, 335)(116, 357)(117, 354)(118, 340)(119, 341)(120, 342)(121, 350)(122, 383)(123, 358)(124, 346)(125, 348)(126, 353)(127, 366)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2723
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y2, (Y3^4 * Y2)^2, (Y3 * Y2 * Y3^-3 * Y2)^2, (Y3 * Y2)^8, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 303, 431)(280, 408, 305, 433)(282, 410, 309, 437)(283, 411, 311, 439)(284, 412, 313, 441)(286, 414, 317, 445)(288, 416, 307, 435)(290, 418, 315, 443)(291, 419, 304, 432)(292, 420, 312, 440)(294, 422, 318, 446)(296, 424, 308, 436)(298, 426, 316, 444)(299, 427, 306, 434)(300, 428, 314, 442)(302, 430, 310, 438)(319, 447, 353, 481)(320, 448, 355, 483)(321, 449, 356, 484)(322, 450, 346, 474)(323, 451, 357, 485)(324, 452, 345, 473)(325, 453, 342, 470)(326, 454, 350, 478)(327, 455, 354, 482)(328, 456, 341, 469)(329, 457, 339, 467)(330, 458, 352, 480)(331, 459, 351, 479)(332, 460, 361, 489)(333, 461, 343, 471)(334, 462, 348, 476)(335, 463, 347, 475)(336, 464, 365, 493)(337, 465, 367, 495)(338, 466, 368, 496)(340, 468, 369, 497)(344, 472, 366, 494)(349, 477, 373, 501)(358, 486, 375, 503)(359, 487, 374, 502)(360, 488, 378, 506)(362, 490, 371, 499)(363, 491, 370, 498)(364, 492, 380, 508)(372, 500, 382, 510)(376, 504, 384, 512)(377, 505, 381, 509)(379, 507, 383, 511)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 304)(24, 267)(25, 307)(26, 310)(27, 312)(28, 269)(29, 315)(30, 270)(31, 319)(32, 321)(33, 322)(34, 272)(35, 325)(36, 273)(37, 327)(38, 329)(39, 320)(40, 331)(41, 323)(42, 276)(43, 333)(44, 277)(45, 334)(46, 278)(47, 336)(48, 338)(49, 339)(50, 280)(51, 342)(52, 281)(53, 344)(54, 346)(55, 337)(56, 348)(57, 340)(58, 284)(59, 350)(60, 285)(61, 351)(62, 286)(63, 354)(64, 287)(65, 301)(66, 341)(67, 289)(68, 290)(69, 300)(70, 292)(71, 298)(72, 293)(73, 360)(74, 295)(75, 347)(76, 297)(77, 362)(78, 363)(79, 302)(80, 366)(81, 303)(82, 317)(83, 324)(84, 305)(85, 306)(86, 316)(87, 308)(88, 314)(89, 309)(90, 372)(91, 311)(92, 330)(93, 313)(94, 374)(95, 375)(96, 318)(97, 377)(98, 371)(99, 378)(100, 332)(101, 379)(102, 326)(103, 328)(104, 365)(105, 376)(106, 380)(107, 368)(108, 335)(109, 381)(110, 359)(111, 382)(112, 349)(113, 383)(114, 343)(115, 345)(116, 353)(117, 364)(118, 384)(119, 356)(120, 352)(121, 361)(122, 358)(123, 355)(124, 357)(125, 373)(126, 370)(127, 367)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2722
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, (Y3 * Y1^-4)^2, (Y1^-1 * Y3 * Y1 * Y3 * Y1^-2)^2, Y1^16, (Y3 * Y1^-1)^8 ]
Map::
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 47, 175, 80, 208, 109, 237, 125, 253, 124, 252, 108, 236, 79, 207, 46, 174, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 63, 191, 94, 222, 118, 246, 92, 220, 117, 245, 105, 233, 111, 239, 82, 210, 48, 176, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 55, 183, 45, 173, 78, 206, 107, 235, 115, 243, 103, 231, 70, 198, 101, 229, 67, 195, 81, 209, 62, 190, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 74, 202, 102, 230, 69, 197, 100, 228, 66, 194, 99, 227, 114, 242, 85, 213, 50, 178, 24, 152, 49, 177, 42, 170, 20, 148)(12, 140, 25, 153, 51, 179, 44, 172, 21, 149, 43, 171, 77, 205, 106, 234, 120, 248, 95, 223, 119, 247, 93, 221, 110, 238, 90, 218, 54, 182, 26, 154)(16, 144, 33, 161, 52, 180, 87, 215, 73, 201, 104, 232, 116, 244, 91, 219, 76, 204, 41, 169, 60, 188, 29, 157, 59, 187, 84, 212, 68, 196, 34, 162)(17, 145, 35, 163, 53, 181, 88, 216, 75, 203, 40, 168, 58, 186, 28, 156, 57, 185, 83, 211, 112, 240, 96, 224, 64, 192, 97, 225, 71, 199, 36, 164)(32, 160, 56, 184, 86, 214, 72, 200, 37, 165, 61, 189, 89, 217, 113, 241, 126, 254, 123, 251, 128, 256, 122, 250, 127, 255, 121, 249, 98, 226, 65, 193)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 304)(24, 267)(25, 308)(26, 309)(27, 312)(28, 269)(29, 270)(30, 317)(31, 320)(32, 271)(33, 322)(34, 323)(35, 325)(36, 326)(37, 274)(38, 329)(39, 321)(40, 275)(41, 276)(42, 328)(43, 324)(44, 327)(45, 278)(46, 319)(47, 337)(48, 279)(49, 339)(50, 340)(51, 342)(52, 281)(53, 282)(54, 345)(55, 347)(56, 283)(57, 348)(58, 349)(59, 350)(60, 351)(61, 286)(62, 352)(63, 302)(64, 287)(65, 295)(66, 289)(67, 290)(68, 299)(69, 291)(70, 292)(71, 300)(72, 298)(73, 294)(74, 360)(75, 338)(76, 361)(77, 354)(78, 344)(79, 358)(80, 366)(81, 303)(82, 331)(83, 305)(84, 306)(85, 369)(86, 307)(87, 371)(88, 334)(89, 310)(90, 372)(91, 311)(92, 313)(93, 314)(94, 315)(95, 316)(96, 318)(97, 370)(98, 333)(99, 365)(100, 378)(101, 379)(102, 335)(103, 380)(104, 330)(105, 332)(106, 368)(107, 377)(108, 376)(109, 355)(110, 336)(111, 382)(112, 362)(113, 341)(114, 353)(115, 343)(116, 346)(117, 381)(118, 383)(119, 384)(120, 364)(121, 363)(122, 356)(123, 357)(124, 359)(125, 373)(126, 367)(127, 374)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2721
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * R * Y2 * R, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * R * Y2^-1 * R * Y2^2 * Y1, (Y2^-4 * Y1)^2, Y2^-1 * R * Y2^4 * R * Y2^-3, Y2 * Y1 * Y2^-5 * R * Y2^-1 * R * Y2^-1 * Y1, (Y3 * Y2^-1)^8, Y2^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 47, 175)(24, 152, 49, 177)(26, 154, 53, 181)(27, 155, 55, 183)(28, 156, 57, 185)(30, 158, 61, 189)(32, 160, 51, 179)(34, 162, 59, 187)(35, 163, 48, 176)(36, 164, 56, 184)(38, 166, 62, 190)(40, 168, 52, 180)(42, 170, 60, 188)(43, 171, 50, 178)(44, 172, 58, 186)(46, 174, 54, 182)(63, 191, 97, 225)(64, 192, 99, 227)(65, 193, 100, 228)(66, 194, 90, 218)(67, 195, 101, 229)(68, 196, 89, 217)(69, 197, 86, 214)(70, 198, 94, 222)(71, 199, 98, 226)(72, 200, 85, 213)(73, 201, 83, 211)(74, 202, 96, 224)(75, 203, 95, 223)(76, 204, 105, 233)(77, 205, 87, 215)(78, 206, 92, 220)(79, 207, 91, 219)(80, 208, 109, 237)(81, 209, 111, 239)(82, 210, 112, 240)(84, 212, 113, 241)(88, 216, 110, 238)(93, 221, 117, 245)(102, 230, 119, 247)(103, 231, 118, 246)(104, 232, 122, 250)(106, 234, 115, 243)(107, 235, 114, 242)(108, 236, 124, 252)(116, 244, 126, 254)(120, 248, 128, 256)(121, 249, 125, 253)(123, 251, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 329, 457, 360, 488, 365, 493, 381, 509, 373, 501, 364, 492, 335, 463, 302, 430, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 310, 438, 346, 474, 372, 500, 353, 481, 377, 505, 361, 489, 376, 504, 352, 480, 318, 446, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 321, 449, 301, 429, 334, 462, 363, 491, 368, 496, 349, 477, 313, 441, 340, 468, 305, 433, 339, 467, 324, 452, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 331, 459, 347, 475, 311, 439, 337, 465, 303, 431, 336, 464, 366, 494, 359, 487, 328, 456, 293, 421, 327, 455, 298, 426, 276, 404)(267, 395, 279, 407, 304, 432, 338, 466, 317, 445, 351, 479, 375, 503, 356, 484, 332, 460, 297, 425, 323, 451, 289, 417, 322, 450, 341, 469, 306, 434, 280, 408)(269, 397, 283, 411, 312, 440, 348, 476, 330, 458, 295, 423, 320, 448, 287, 415, 319, 447, 354, 482, 371, 499, 345, 473, 309, 437, 344, 472, 314, 442, 284, 412)(273, 401, 291, 419, 325, 453, 300, 428, 277, 405, 299, 427, 333, 461, 362, 490, 380, 508, 357, 485, 379, 507, 355, 483, 378, 506, 358, 486, 326, 454, 292, 420)(281, 409, 307, 435, 342, 470, 316, 444, 285, 413, 315, 443, 350, 478, 374, 502, 384, 512, 369, 497, 383, 511, 367, 495, 382, 510, 370, 498, 343, 471, 308, 436)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 303)(24, 305)(25, 268)(26, 309)(27, 311)(28, 313)(29, 270)(30, 317)(31, 271)(32, 307)(33, 272)(34, 315)(35, 304)(36, 312)(37, 274)(38, 318)(39, 275)(40, 308)(41, 276)(42, 316)(43, 306)(44, 314)(45, 278)(46, 310)(47, 279)(48, 291)(49, 280)(50, 299)(51, 288)(52, 296)(53, 282)(54, 302)(55, 283)(56, 292)(57, 284)(58, 300)(59, 290)(60, 298)(61, 286)(62, 294)(63, 353)(64, 355)(65, 356)(66, 346)(67, 357)(68, 345)(69, 342)(70, 350)(71, 354)(72, 341)(73, 339)(74, 352)(75, 351)(76, 361)(77, 343)(78, 348)(79, 347)(80, 365)(81, 367)(82, 368)(83, 329)(84, 369)(85, 328)(86, 325)(87, 333)(88, 366)(89, 324)(90, 322)(91, 335)(92, 334)(93, 373)(94, 326)(95, 331)(96, 330)(97, 319)(98, 327)(99, 320)(100, 321)(101, 323)(102, 375)(103, 374)(104, 378)(105, 332)(106, 371)(107, 370)(108, 380)(109, 336)(110, 344)(111, 337)(112, 338)(113, 340)(114, 363)(115, 362)(116, 382)(117, 349)(118, 359)(119, 358)(120, 384)(121, 381)(122, 360)(123, 383)(124, 364)(125, 377)(126, 372)(127, 379)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2726
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = ((C4 x C2) . D8 = C4 . (C4 x C4)) : C2 (small group id <128, 81>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-3 * Y3)^2, (Y3^-3 * Y1)^2, (Y3^-1 * Y1)^4, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-2, Y1^8, Y3^2 * Y1^-1 * Y3^-5 * Y1^2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 74, 202, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 70, 198, 75, 203, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 69, 197, 82, 210, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 79, 207, 108, 236, 92, 220, 64, 192, 27, 155)(12, 140, 30, 158, 65, 193, 77, 205, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 46, 174, 83, 211, 109, 237, 100, 228, 66, 194, 36, 164)(19, 147, 47, 175, 76, 204, 110, 238, 104, 232, 68, 196, 31, 159, 49, 177)(22, 150, 55, 183, 78, 206, 113, 241, 94, 222, 58, 186, 24, 152, 53, 181)(26, 154, 62, 190, 93, 221, 121, 249, 107, 235, 115, 243, 89, 217, 56, 184)(28, 156, 50, 178, 81, 209, 112, 240, 91, 219, 59, 187, 37, 165, 54, 182)(39, 167, 67, 195, 102, 230, 126, 254, 99, 227, 111, 239, 85, 213, 72, 200)(48, 176, 86, 214, 71, 199, 101, 229, 124, 252, 127, 255, 117, 245, 84, 212)(60, 188, 95, 223, 125, 253, 128, 256, 114, 242, 80, 208, 61, 189, 88, 216)(63, 191, 90, 218, 116, 244, 103, 231, 73, 201, 87, 215, 118, 246, 96, 224)(97, 225, 123, 251, 105, 233, 120, 248, 106, 234, 119, 247, 98, 226, 122, 250)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 319)(27, 308)(28, 301)(29, 311)(30, 269)(31, 323)(32, 310)(33, 320)(34, 326)(35, 315)(36, 327)(37, 270)(38, 328)(39, 271)(40, 330)(41, 332)(42, 272)(43, 336)(44, 337)(45, 294)(46, 274)(47, 276)(48, 343)(49, 288)(50, 285)(51, 339)(52, 293)(53, 344)(54, 277)(55, 345)(56, 278)(57, 347)(58, 349)(59, 279)(60, 280)(61, 281)(62, 283)(63, 355)(64, 351)(65, 356)(66, 286)(67, 359)(68, 291)(69, 290)(70, 360)(71, 361)(72, 362)(73, 295)(74, 364)(75, 296)(76, 367)(77, 368)(78, 298)(79, 300)(80, 372)(81, 307)(82, 369)(83, 373)(84, 302)(85, 303)(86, 305)(87, 377)(88, 378)(89, 379)(90, 312)(91, 321)(92, 313)(93, 375)(94, 325)(95, 374)(96, 316)(97, 317)(98, 318)(99, 365)(100, 382)(101, 322)(102, 324)(103, 370)(104, 380)(105, 371)(106, 381)(107, 329)(108, 363)(109, 331)(110, 333)(111, 352)(112, 338)(113, 384)(114, 334)(115, 335)(116, 357)(117, 354)(118, 340)(119, 341)(120, 342)(121, 350)(122, 383)(123, 358)(124, 346)(125, 348)(126, 353)(127, 366)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2725
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2727 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1^-3)^2, T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3, T1^16, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 80, 109, 125, 123, 108, 79, 46, 22, 10, 4)(3, 7, 15, 31, 63, 97, 120, 95, 119, 93, 113, 82, 48, 38, 18, 8)(6, 13, 27, 55, 45, 78, 103, 69, 101, 66, 100, 111, 81, 62, 30, 14)(9, 19, 39, 74, 106, 116, 104, 70, 102, 67, 85, 50, 24, 49, 42, 20)(12, 25, 51, 44, 21, 43, 77, 94, 118, 92, 117, 107, 110, 90, 54, 26)(16, 33, 52, 87, 73, 105, 75, 40, 58, 28, 57, 83, 114, 96, 68, 34)(17, 35, 53, 88, 112, 91, 76, 41, 60, 29, 59, 84, 64, 98, 71, 36)(32, 56, 86, 72, 37, 61, 89, 115, 126, 122, 127, 124, 128, 121, 99, 65)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 63)(47, 81)(49, 83)(50, 84)(51, 86)(54, 89)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 88)(75, 90)(76, 107)(77, 99)(78, 105)(79, 106)(80, 110)(82, 112)(85, 115)(87, 116)(97, 114)(98, 111)(100, 122)(101, 123)(102, 109)(103, 121)(104, 124)(108, 118)(113, 126)(117, 127)(119, 125)(120, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2728
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2728 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 50, 76, 70, 90, 65, 34)(17, 35, 51, 77, 61, 85, 68, 36)(28, 55, 73, 95, 84, 71, 40, 56)(29, 57, 74, 96, 79, 72, 41, 58)(32, 54, 75, 69, 37, 59, 78, 62)(63, 86, 105, 123, 110, 91, 66, 87)(64, 88, 98, 116, 97, 92, 67, 89)(80, 99, 94, 113, 93, 103, 82, 100)(81, 101, 115, 126, 114, 104, 83, 102)(106, 124, 112, 125, 111, 120, 108, 118)(107, 119, 127, 117, 128, 122, 109, 121)
	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, 61)(33, 63)(34, 64)(35, 66)(36, 67)(38, 70)(39, 62)(42, 69)(43, 65)(44, 68)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 93)(72, 94)(76, 97)(77, 98)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 114)(96, 115)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 125)(116, 127)(123, 128)(124, 126)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2727
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2729 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^-1 * T1 * T2^-3)^2, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^16 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 45, 66, 34, 16)(9, 19, 40, 70, 37, 69, 42, 20)(11, 23, 47, 75, 60, 78, 49, 24)(13, 27, 55, 82, 52, 81, 57, 28)(17, 35, 67, 44, 21, 43, 68, 36)(25, 50, 79, 59, 29, 58, 80, 51)(31, 61, 86, 107, 92, 71, 39, 62)(33, 64, 90, 110, 88, 72, 41, 65)(46, 73, 96, 116, 102, 83, 54, 74)(48, 76, 100, 119, 98, 84, 56, 77)(85, 105, 94, 113, 93, 111, 89, 106)(87, 108, 125, 126, 124, 112, 91, 109)(95, 114, 104, 122, 103, 120, 99, 115)(97, 117, 128, 123, 127, 121, 101, 118)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 178)(162, 186)(163, 175)(164, 183)(166, 181)(168, 179)(170, 187)(171, 177)(172, 185)(189, 213)(190, 215)(191, 216)(192, 217)(193, 219)(194, 220)(195, 207)(196, 208)(197, 214)(198, 218)(199, 221)(200, 222)(201, 223)(202, 225)(203, 226)(204, 227)(205, 229)(206, 230)(209, 224)(210, 228)(211, 231)(212, 232)(233, 251)(234, 243)(235, 252)(236, 245)(237, 248)(238, 253)(239, 246)(240, 249)(241, 250)(242, 254)(244, 255)(247, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2733
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2730 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-2 * T2^-2 * T1^2, T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1, (T2^-3 * T1)^2, T1^8, (T2 * T1^-3)^2, (T2 * T1^-1)^4, T2^2 * T1^-1 * T2^-4 * T1^-2 * T2^-2 * T1^-1, T1^-2 * T2^6 * T1^-1 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 99, 110, 77, 112, 82, 113, 107, 73, 39, 15, 5)(2, 7, 19, 48, 87, 121, 92, 57, 91, 65, 100, 124, 90, 56, 22, 8)(4, 12, 31, 67, 103, 115, 79, 44, 81, 51, 83, 117, 96, 60, 24, 9)(6, 17, 43, 80, 116, 102, 68, 35, 59, 23, 58, 93, 118, 84, 46, 18)(11, 28, 45, 38, 72, 106, 125, 94, 69, 34, 70, 104, 126, 97, 61, 25)(13, 33, 64, 95, 119, 85, 47, 20, 50, 29, 55, 89, 123, 101, 66, 30)(14, 36, 71, 105, 114, 78, 42, 16, 41, 76, 111, 98, 62, 27, 52, 37)(21, 53, 88, 122, 128, 109, 75, 40, 74, 108, 127, 120, 86, 49, 32, 54)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 202, 170, 157, 139)(133, 142, 163, 198, 203, 179, 148, 135)(136, 149, 180, 161, 197, 210, 172, 145)(138, 153, 171, 207, 236, 220, 192, 155)(140, 158, 193, 205, 169, 146, 173, 160)(143, 166, 174, 211, 237, 228, 194, 164)(147, 175, 204, 238, 232, 196, 159, 177)(150, 183, 206, 241, 222, 186, 152, 181)(154, 190, 221, 253, 255, 243, 217, 184)(156, 178, 209, 240, 219, 187, 165, 182)(167, 195, 230, 252, 256, 239, 213, 200)(176, 214, 199, 229, 254, 227, 245, 212)(188, 223, 249, 235, 242, 208, 189, 216)(191, 218, 244, 233, 248, 234, 247, 224)(201, 215, 246, 226, 250, 225, 251, 231)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2734
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2731 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1^-3)^2, T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3, (T2 * T1^-1)^8, T1^16 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 66)(34, 67)(35, 69)(36, 70)(38, 73)(39, 65)(42, 72)(43, 68)(44, 71)(46, 63)(47, 81)(49, 83)(50, 84)(51, 86)(54, 89)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 88)(75, 90)(76, 107)(77, 99)(78, 105)(79, 106)(80, 110)(82, 112)(85, 115)(87, 116)(97, 114)(98, 111)(100, 122)(101, 123)(102, 109)(103, 121)(104, 124)(108, 118)(113, 126)(117, 127)(119, 125)(120, 128)(129, 130, 133, 139, 151, 175, 208, 237, 253, 251, 236, 207, 174, 150, 138, 132)(131, 135, 143, 159, 191, 225, 248, 223, 247, 221, 241, 210, 176, 166, 146, 136)(134, 141, 155, 183, 173, 206, 231, 197, 229, 194, 228, 239, 209, 190, 158, 142)(137, 147, 167, 202, 234, 244, 232, 198, 230, 195, 213, 178, 152, 177, 170, 148)(140, 153, 179, 172, 149, 171, 205, 222, 246, 220, 245, 235, 238, 218, 182, 154)(144, 161, 180, 215, 201, 233, 203, 168, 186, 156, 185, 211, 242, 224, 196, 162)(145, 163, 181, 216, 240, 219, 204, 169, 188, 157, 187, 212, 192, 226, 199, 164)(160, 184, 214, 200, 165, 189, 217, 243, 254, 250, 255, 252, 256, 249, 227, 193)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2732
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2732 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^-1 * T1 * T2^-3)^2, T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^16 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 45, 173, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 69, 197, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 75, 203, 60, 188, 78, 206, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 82, 210, 52, 180, 81, 209, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 68, 196, 36, 164)(25, 153, 50, 178, 79, 207, 59, 187, 29, 157, 58, 186, 80, 208, 51, 179)(31, 159, 61, 189, 86, 214, 107, 235, 92, 220, 71, 199, 39, 167, 62, 190)(33, 161, 64, 192, 90, 218, 110, 238, 88, 216, 72, 200, 41, 169, 65, 193)(46, 174, 73, 201, 96, 224, 116, 244, 102, 230, 83, 211, 54, 182, 74, 202)(48, 176, 76, 204, 100, 228, 119, 247, 98, 226, 84, 212, 56, 184, 77, 205)(85, 213, 105, 233, 94, 222, 113, 241, 93, 221, 111, 239, 89, 217, 106, 234)(87, 215, 108, 236, 125, 253, 126, 254, 124, 252, 112, 240, 91, 219, 109, 237)(95, 223, 114, 242, 104, 232, 122, 250, 103, 231, 120, 248, 99, 227, 115, 243)(97, 225, 117, 245, 128, 256, 123, 251, 127, 255, 121, 249, 101, 229, 118, 246)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 178)(33, 144)(34, 186)(35, 175)(36, 183)(37, 146)(38, 181)(39, 147)(40, 179)(41, 148)(42, 187)(43, 177)(44, 185)(45, 150)(46, 151)(47, 163)(48, 152)(49, 171)(50, 160)(51, 168)(52, 154)(53, 166)(54, 155)(55, 164)(56, 156)(57, 172)(58, 162)(59, 170)(60, 158)(61, 213)(62, 215)(63, 216)(64, 217)(65, 219)(66, 220)(67, 207)(68, 208)(69, 214)(70, 218)(71, 221)(72, 222)(73, 223)(74, 225)(75, 226)(76, 227)(77, 229)(78, 230)(79, 195)(80, 196)(81, 224)(82, 228)(83, 231)(84, 232)(85, 189)(86, 197)(87, 190)(88, 191)(89, 192)(90, 198)(91, 193)(92, 194)(93, 199)(94, 200)(95, 201)(96, 209)(97, 202)(98, 203)(99, 204)(100, 210)(101, 205)(102, 206)(103, 211)(104, 212)(105, 251)(106, 243)(107, 252)(108, 245)(109, 248)(110, 253)(111, 246)(112, 249)(113, 250)(114, 254)(115, 234)(116, 255)(117, 236)(118, 239)(119, 256)(120, 237)(121, 240)(122, 241)(123, 233)(124, 235)(125, 238)(126, 242)(127, 244)(128, 247)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2731
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2733 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-2 * T2^-2 * T1^2, T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1, (T2^-3 * T1)^2, T1^8, (T2 * T1^-3)^2, (T2 * T1^-1)^4, T2^2 * T1^-1 * T2^-4 * T1^-2 * T2^-2 * T1^-1, T1^-2 * T2^6 * T1^-1 * T2^-2 * T1^-1 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 26, 154, 63, 191, 99, 227, 110, 238, 77, 205, 112, 240, 82, 210, 113, 241, 107, 235, 73, 201, 39, 167, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 48, 176, 87, 215, 121, 249, 92, 220, 57, 185, 91, 219, 65, 193, 100, 228, 124, 252, 90, 218, 56, 184, 22, 150, 8, 136)(4, 132, 12, 140, 31, 159, 67, 195, 103, 231, 115, 243, 79, 207, 44, 172, 81, 209, 51, 179, 83, 211, 117, 245, 96, 224, 60, 188, 24, 152, 9, 137)(6, 134, 17, 145, 43, 171, 80, 208, 116, 244, 102, 230, 68, 196, 35, 163, 59, 187, 23, 151, 58, 186, 93, 221, 118, 246, 84, 212, 46, 174, 18, 146)(11, 139, 28, 156, 45, 173, 38, 166, 72, 200, 106, 234, 125, 253, 94, 222, 69, 197, 34, 162, 70, 198, 104, 232, 126, 254, 97, 225, 61, 189, 25, 153)(13, 141, 33, 161, 64, 192, 95, 223, 119, 247, 85, 213, 47, 175, 20, 148, 50, 178, 29, 157, 55, 183, 89, 217, 123, 251, 101, 229, 66, 194, 30, 158)(14, 142, 36, 164, 71, 199, 105, 233, 114, 242, 78, 206, 42, 170, 16, 144, 41, 169, 76, 204, 111, 239, 98, 226, 62, 190, 27, 155, 52, 180, 37, 165)(21, 149, 53, 181, 88, 216, 122, 250, 128, 256, 109, 237, 75, 203, 40, 168, 74, 202, 108, 236, 127, 255, 120, 248, 86, 214, 49, 177, 32, 160, 54, 182)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 151)(10, 153)(11, 131)(12, 158)(13, 132)(14, 163)(15, 166)(16, 168)(17, 136)(18, 173)(19, 175)(20, 135)(21, 180)(22, 183)(23, 185)(24, 181)(25, 171)(26, 190)(27, 138)(28, 178)(29, 139)(30, 193)(31, 177)(32, 140)(33, 197)(34, 141)(35, 198)(36, 143)(37, 182)(38, 174)(39, 195)(40, 162)(41, 146)(42, 157)(43, 207)(44, 145)(45, 160)(46, 211)(47, 204)(48, 214)(49, 147)(50, 209)(51, 148)(52, 161)(53, 150)(54, 156)(55, 206)(56, 154)(57, 202)(58, 152)(59, 165)(60, 223)(61, 216)(62, 221)(63, 218)(64, 155)(65, 205)(66, 164)(67, 230)(68, 159)(69, 210)(70, 203)(71, 229)(72, 167)(73, 215)(74, 170)(75, 179)(76, 238)(77, 169)(78, 241)(79, 236)(80, 189)(81, 240)(82, 172)(83, 237)(84, 176)(85, 200)(86, 199)(87, 246)(88, 188)(89, 184)(90, 244)(91, 187)(92, 192)(93, 253)(94, 186)(95, 249)(96, 191)(97, 251)(98, 250)(99, 245)(100, 194)(101, 254)(102, 252)(103, 201)(104, 196)(105, 248)(106, 247)(107, 242)(108, 220)(109, 228)(110, 232)(111, 213)(112, 219)(113, 222)(114, 208)(115, 217)(116, 233)(117, 212)(118, 226)(119, 224)(120, 234)(121, 235)(122, 225)(123, 231)(124, 256)(125, 255)(126, 227)(127, 243)(128, 239)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2729
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2734 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1^-3)^2, T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3, (T2 * T1^-1)^8, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 53, 181)(27, 155, 56, 184)(30, 158, 61, 189)(31, 159, 64, 192)(33, 161, 66, 194)(34, 162, 67, 195)(35, 163, 69, 197)(36, 164, 70, 198)(38, 166, 73, 201)(39, 167, 65, 193)(42, 170, 72, 200)(43, 171, 68, 196)(44, 172, 71, 199)(46, 174, 63, 191)(47, 175, 81, 209)(49, 177, 83, 211)(50, 178, 84, 212)(51, 179, 86, 214)(54, 182, 89, 217)(55, 183, 91, 219)(57, 185, 92, 220)(58, 186, 93, 221)(59, 187, 94, 222)(60, 188, 95, 223)(62, 190, 96, 224)(74, 202, 88, 216)(75, 203, 90, 218)(76, 204, 107, 235)(77, 205, 99, 227)(78, 206, 105, 233)(79, 207, 106, 234)(80, 208, 110, 238)(82, 210, 112, 240)(85, 213, 115, 243)(87, 215, 116, 244)(97, 225, 114, 242)(98, 226, 111, 239)(100, 228, 122, 250)(101, 229, 123, 251)(102, 230, 109, 237)(103, 231, 121, 249)(104, 232, 124, 252)(108, 236, 118, 246)(113, 241, 126, 254)(117, 245, 127, 255)(119, 247, 125, 253)(120, 248, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 175)(24, 177)(25, 179)(26, 140)(27, 183)(28, 185)(29, 187)(30, 142)(31, 191)(32, 184)(33, 180)(34, 144)(35, 181)(36, 145)(37, 189)(38, 146)(39, 202)(40, 186)(41, 188)(42, 148)(43, 205)(44, 149)(45, 206)(46, 150)(47, 208)(48, 166)(49, 170)(50, 152)(51, 172)(52, 215)(53, 216)(54, 154)(55, 173)(56, 214)(57, 211)(58, 156)(59, 212)(60, 157)(61, 217)(62, 158)(63, 225)(64, 226)(65, 160)(66, 228)(67, 213)(68, 162)(69, 229)(70, 230)(71, 164)(72, 165)(73, 233)(74, 234)(75, 168)(76, 169)(77, 222)(78, 231)(79, 174)(80, 237)(81, 190)(82, 176)(83, 242)(84, 192)(85, 178)(86, 200)(87, 201)(88, 240)(89, 243)(90, 182)(91, 204)(92, 245)(93, 241)(94, 246)(95, 247)(96, 196)(97, 248)(98, 199)(99, 193)(100, 239)(101, 194)(102, 195)(103, 197)(104, 198)(105, 203)(106, 244)(107, 238)(108, 207)(109, 253)(110, 218)(111, 209)(112, 219)(113, 210)(114, 224)(115, 254)(116, 232)(117, 235)(118, 220)(119, 221)(120, 223)(121, 227)(122, 255)(123, 236)(124, 256)(125, 251)(126, 250)(127, 252)(128, 249)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2730
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, Y2^8, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^-2 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-2 * Y1 * Y2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 50, 178)(34, 162, 58, 186)(35, 163, 47, 175)(36, 164, 55, 183)(38, 166, 53, 181)(40, 168, 51, 179)(42, 170, 59, 187)(43, 171, 49, 177)(44, 172, 57, 185)(61, 189, 85, 213)(62, 190, 87, 215)(63, 191, 88, 216)(64, 192, 89, 217)(65, 193, 91, 219)(66, 194, 92, 220)(67, 195, 79, 207)(68, 196, 80, 208)(69, 197, 86, 214)(70, 198, 90, 218)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 97, 225)(75, 203, 98, 226)(76, 204, 99, 227)(77, 205, 101, 229)(78, 206, 102, 230)(81, 209, 96, 224)(82, 210, 100, 228)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 123, 251)(106, 234, 115, 243)(107, 235, 124, 252)(108, 236, 117, 245)(109, 237, 120, 248)(110, 238, 125, 253)(111, 239, 118, 246)(112, 240, 121, 249)(113, 241, 122, 250)(114, 242, 126, 254)(116, 244, 127, 255)(119, 247, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 301, 429, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 325, 453, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 331, 459, 316, 444, 334, 462, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 338, 466, 308, 436, 337, 465, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 324, 452, 292, 420)(281, 409, 306, 434, 335, 463, 315, 443, 285, 413, 314, 442, 336, 464, 307, 435)(287, 415, 317, 445, 342, 470, 363, 491, 348, 476, 327, 455, 295, 423, 318, 446)(289, 417, 320, 448, 346, 474, 366, 494, 344, 472, 328, 456, 297, 425, 321, 449)(302, 430, 329, 457, 352, 480, 372, 500, 358, 486, 339, 467, 310, 438, 330, 458)(304, 432, 332, 460, 356, 484, 375, 503, 354, 482, 340, 468, 312, 440, 333, 461)(341, 469, 361, 489, 350, 478, 369, 497, 349, 477, 367, 495, 345, 473, 362, 490)(343, 471, 364, 492, 381, 509, 382, 510, 380, 508, 368, 496, 347, 475, 365, 493)(351, 479, 370, 498, 360, 488, 378, 506, 359, 487, 376, 504, 355, 483, 371, 499)(353, 481, 373, 501, 384, 512, 379, 507, 383, 511, 377, 505, 357, 485, 374, 502)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 306)(33, 272)(34, 314)(35, 303)(36, 311)(37, 274)(38, 309)(39, 275)(40, 307)(41, 276)(42, 315)(43, 305)(44, 313)(45, 278)(46, 279)(47, 291)(48, 280)(49, 299)(50, 288)(51, 296)(52, 282)(53, 294)(54, 283)(55, 292)(56, 284)(57, 300)(58, 290)(59, 298)(60, 286)(61, 341)(62, 343)(63, 344)(64, 345)(65, 347)(66, 348)(67, 335)(68, 336)(69, 342)(70, 346)(71, 349)(72, 350)(73, 351)(74, 353)(75, 354)(76, 355)(77, 357)(78, 358)(79, 323)(80, 324)(81, 352)(82, 356)(83, 359)(84, 360)(85, 317)(86, 325)(87, 318)(88, 319)(89, 320)(90, 326)(91, 321)(92, 322)(93, 327)(94, 328)(95, 329)(96, 337)(97, 330)(98, 331)(99, 332)(100, 338)(101, 333)(102, 334)(103, 339)(104, 340)(105, 379)(106, 371)(107, 380)(108, 373)(109, 376)(110, 381)(111, 374)(112, 377)(113, 378)(114, 382)(115, 362)(116, 383)(117, 364)(118, 367)(119, 384)(120, 365)(121, 368)(122, 369)(123, 361)(124, 363)(125, 366)(126, 370)(127, 372)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2738
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^2 * Y1^-2 * Y2^-2 * Y1^2, Y1^8, (Y2 * Y1^-3)^2, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y1^-2 * Y2^6 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^-4 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 74, 202, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 70, 198, 75, 203, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 69, 197, 82, 210, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 79, 207, 108, 236, 92, 220, 64, 192, 27, 155)(12, 140, 30, 158, 65, 193, 77, 205, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 46, 174, 83, 211, 109, 237, 100, 228, 66, 194, 36, 164)(19, 147, 47, 175, 76, 204, 110, 238, 104, 232, 68, 196, 31, 159, 49, 177)(22, 150, 55, 183, 78, 206, 113, 241, 94, 222, 58, 186, 24, 152, 53, 181)(26, 154, 62, 190, 93, 221, 125, 253, 127, 255, 115, 243, 89, 217, 56, 184)(28, 156, 50, 178, 81, 209, 112, 240, 91, 219, 59, 187, 37, 165, 54, 182)(39, 167, 67, 195, 102, 230, 124, 252, 128, 256, 111, 239, 85, 213, 72, 200)(48, 176, 86, 214, 71, 199, 101, 229, 126, 254, 99, 227, 117, 245, 84, 212)(60, 188, 95, 223, 121, 249, 107, 235, 114, 242, 80, 208, 61, 189, 88, 216)(63, 191, 90, 218, 116, 244, 105, 233, 120, 248, 106, 234, 119, 247, 96, 224)(73, 201, 87, 215, 118, 246, 98, 226, 122, 250, 97, 225, 123, 251, 103, 231)(257, 385, 259, 387, 266, 394, 282, 410, 319, 447, 355, 483, 366, 494, 333, 461, 368, 496, 338, 466, 369, 497, 363, 491, 329, 457, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 343, 471, 377, 505, 348, 476, 313, 441, 347, 475, 321, 449, 356, 484, 380, 508, 346, 474, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 323, 451, 359, 487, 371, 499, 335, 463, 300, 428, 337, 465, 307, 435, 339, 467, 373, 501, 352, 480, 316, 444, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 336, 464, 372, 500, 358, 486, 324, 452, 291, 419, 315, 443, 279, 407, 314, 442, 349, 477, 374, 502, 340, 468, 302, 430, 274, 402)(267, 395, 284, 412, 301, 429, 294, 422, 328, 456, 362, 490, 381, 509, 350, 478, 325, 453, 290, 418, 326, 454, 360, 488, 382, 510, 353, 481, 317, 445, 281, 409)(269, 397, 289, 417, 320, 448, 351, 479, 375, 503, 341, 469, 303, 431, 276, 404, 306, 434, 285, 413, 311, 439, 345, 473, 379, 507, 357, 485, 322, 450, 286, 414)(270, 398, 292, 420, 327, 455, 361, 489, 370, 498, 334, 462, 298, 426, 272, 400, 297, 425, 332, 460, 367, 495, 354, 482, 318, 446, 283, 411, 308, 436, 293, 421)(277, 405, 309, 437, 344, 472, 378, 506, 384, 512, 365, 493, 331, 459, 296, 424, 330, 458, 364, 492, 383, 511, 376, 504, 342, 470, 305, 433, 288, 416, 310, 438)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 319)(27, 308)(28, 301)(29, 311)(30, 269)(31, 323)(32, 310)(33, 320)(34, 326)(35, 315)(36, 327)(37, 270)(38, 328)(39, 271)(40, 330)(41, 332)(42, 272)(43, 336)(44, 337)(45, 294)(46, 274)(47, 276)(48, 343)(49, 288)(50, 285)(51, 339)(52, 293)(53, 344)(54, 277)(55, 345)(56, 278)(57, 347)(58, 349)(59, 279)(60, 280)(61, 281)(62, 283)(63, 355)(64, 351)(65, 356)(66, 286)(67, 359)(68, 291)(69, 290)(70, 360)(71, 361)(72, 362)(73, 295)(74, 364)(75, 296)(76, 367)(77, 368)(78, 298)(79, 300)(80, 372)(81, 307)(82, 369)(83, 373)(84, 302)(85, 303)(86, 305)(87, 377)(88, 378)(89, 379)(90, 312)(91, 321)(92, 313)(93, 374)(94, 325)(95, 375)(96, 316)(97, 317)(98, 318)(99, 366)(100, 380)(101, 322)(102, 324)(103, 371)(104, 382)(105, 370)(106, 381)(107, 329)(108, 383)(109, 331)(110, 333)(111, 354)(112, 338)(113, 363)(114, 334)(115, 335)(116, 358)(117, 352)(118, 340)(119, 341)(120, 342)(121, 348)(122, 384)(123, 357)(124, 346)(125, 350)(126, 353)(127, 376)(128, 365)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2737
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y2, (Y3^-3 * Y2 * Y3^-1)^2, Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-3, (Y3 * Y2)^8, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 303, 431)(280, 408, 305, 433)(282, 410, 309, 437)(283, 411, 311, 439)(284, 412, 313, 441)(286, 414, 317, 445)(288, 416, 307, 435)(290, 418, 315, 443)(291, 419, 304, 432)(292, 420, 312, 440)(294, 422, 318, 446)(296, 424, 308, 436)(298, 426, 316, 444)(299, 427, 306, 434)(300, 428, 314, 442)(302, 430, 310, 438)(319, 447, 353, 481)(320, 448, 355, 483)(321, 449, 356, 484)(322, 450, 357, 485)(323, 451, 358, 486)(324, 452, 341, 469)(325, 453, 342, 470)(326, 454, 350, 478)(327, 455, 354, 482)(328, 456, 345, 473)(329, 457, 359, 487)(330, 458, 360, 488)(331, 459, 348, 476)(332, 460, 363, 491)(333, 461, 343, 471)(334, 462, 351, 479)(335, 463, 362, 490)(336, 464, 365, 493)(337, 465, 367, 495)(338, 466, 368, 496)(339, 467, 369, 497)(340, 468, 370, 498)(344, 472, 366, 494)(346, 474, 371, 499)(347, 475, 372, 500)(349, 477, 375, 503)(352, 480, 374, 502)(361, 489, 380, 508)(364, 492, 378, 506)(373, 501, 384, 512)(376, 504, 382, 510)(377, 505, 381, 509)(379, 507, 383, 511)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 304)(24, 267)(25, 307)(26, 310)(27, 312)(28, 269)(29, 315)(30, 270)(31, 319)(32, 321)(33, 322)(34, 272)(35, 325)(36, 273)(37, 327)(38, 329)(39, 320)(40, 331)(41, 323)(42, 276)(43, 333)(44, 277)(45, 334)(46, 278)(47, 336)(48, 338)(49, 339)(50, 280)(51, 342)(52, 281)(53, 344)(54, 346)(55, 337)(56, 348)(57, 340)(58, 284)(59, 350)(60, 285)(61, 351)(62, 286)(63, 354)(64, 287)(65, 301)(66, 345)(67, 289)(68, 290)(69, 300)(70, 292)(71, 298)(72, 293)(73, 361)(74, 295)(75, 362)(76, 297)(77, 357)(78, 347)(79, 302)(80, 366)(81, 303)(82, 317)(83, 328)(84, 305)(85, 306)(86, 316)(87, 308)(88, 314)(89, 309)(90, 373)(91, 311)(92, 374)(93, 313)(94, 369)(95, 330)(96, 318)(97, 377)(98, 371)(99, 376)(100, 332)(101, 378)(102, 379)(103, 324)(104, 326)(105, 370)(106, 368)(107, 380)(108, 335)(109, 381)(110, 359)(111, 364)(112, 349)(113, 382)(114, 383)(115, 341)(116, 343)(117, 358)(118, 356)(119, 384)(120, 352)(121, 363)(122, 353)(123, 355)(124, 360)(125, 375)(126, 365)(127, 367)(128, 372)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2736
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-2 * Y3, (Y3 * Y1^-4)^2, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-3, (Y3 * Y1^-1)^8, Y1^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 47, 175, 80, 208, 109, 237, 125, 253, 123, 251, 108, 236, 79, 207, 46, 174, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 63, 191, 97, 225, 120, 248, 95, 223, 119, 247, 93, 221, 113, 241, 82, 210, 48, 176, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 55, 183, 45, 173, 78, 206, 103, 231, 69, 197, 101, 229, 66, 194, 100, 228, 111, 239, 81, 209, 62, 190, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 74, 202, 106, 234, 116, 244, 104, 232, 70, 198, 102, 230, 67, 195, 85, 213, 50, 178, 24, 152, 49, 177, 42, 170, 20, 148)(12, 140, 25, 153, 51, 179, 44, 172, 21, 149, 43, 171, 77, 205, 94, 222, 118, 246, 92, 220, 117, 245, 107, 235, 110, 238, 90, 218, 54, 182, 26, 154)(16, 144, 33, 161, 52, 180, 87, 215, 73, 201, 105, 233, 75, 203, 40, 168, 58, 186, 28, 156, 57, 185, 83, 211, 114, 242, 96, 224, 68, 196, 34, 162)(17, 145, 35, 163, 53, 181, 88, 216, 112, 240, 91, 219, 76, 204, 41, 169, 60, 188, 29, 157, 59, 187, 84, 212, 64, 192, 98, 226, 71, 199, 36, 164)(32, 160, 56, 184, 86, 214, 72, 200, 37, 165, 61, 189, 89, 217, 115, 243, 126, 254, 122, 250, 127, 255, 124, 252, 128, 256, 121, 249, 99, 227, 65, 193)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 304)(24, 267)(25, 308)(26, 309)(27, 312)(28, 269)(29, 270)(30, 317)(31, 320)(32, 271)(33, 322)(34, 323)(35, 325)(36, 326)(37, 274)(38, 329)(39, 321)(40, 275)(41, 276)(42, 328)(43, 324)(44, 327)(45, 278)(46, 319)(47, 337)(48, 279)(49, 339)(50, 340)(51, 342)(52, 281)(53, 282)(54, 345)(55, 347)(56, 283)(57, 348)(58, 349)(59, 350)(60, 351)(61, 286)(62, 352)(63, 302)(64, 287)(65, 295)(66, 289)(67, 290)(68, 299)(69, 291)(70, 292)(71, 300)(72, 298)(73, 294)(74, 344)(75, 346)(76, 363)(77, 355)(78, 361)(79, 362)(80, 366)(81, 303)(82, 368)(83, 305)(84, 306)(85, 371)(86, 307)(87, 372)(88, 330)(89, 310)(90, 331)(91, 311)(92, 313)(93, 314)(94, 315)(95, 316)(96, 318)(97, 370)(98, 367)(99, 333)(100, 378)(101, 379)(102, 365)(103, 377)(104, 380)(105, 334)(106, 335)(107, 332)(108, 374)(109, 358)(110, 336)(111, 354)(112, 338)(113, 382)(114, 353)(115, 341)(116, 343)(117, 383)(118, 364)(119, 381)(120, 384)(121, 359)(122, 356)(123, 357)(124, 360)(125, 375)(126, 369)(127, 373)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2735
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-3 * Y1)^2, (Y2^-1 * Y1 * Y2^-3)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1, Y2^3 * R * Y2^3 * R * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-3, Y2^16, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 47, 175)(24, 152, 49, 177)(26, 154, 53, 181)(27, 155, 55, 183)(28, 156, 57, 185)(30, 158, 61, 189)(32, 160, 51, 179)(34, 162, 59, 187)(35, 163, 48, 176)(36, 164, 56, 184)(38, 166, 62, 190)(40, 168, 52, 180)(42, 170, 60, 188)(43, 171, 50, 178)(44, 172, 58, 186)(46, 174, 54, 182)(63, 191, 97, 225)(64, 192, 99, 227)(65, 193, 100, 228)(66, 194, 101, 229)(67, 195, 102, 230)(68, 196, 85, 213)(69, 197, 86, 214)(70, 198, 94, 222)(71, 199, 98, 226)(72, 200, 89, 217)(73, 201, 103, 231)(74, 202, 104, 232)(75, 203, 92, 220)(76, 204, 107, 235)(77, 205, 87, 215)(78, 206, 95, 223)(79, 207, 106, 234)(80, 208, 109, 237)(81, 209, 111, 239)(82, 210, 112, 240)(83, 211, 113, 241)(84, 212, 114, 242)(88, 216, 110, 238)(90, 218, 115, 243)(91, 219, 116, 244)(93, 221, 119, 247)(96, 224, 118, 246)(105, 233, 124, 252)(108, 236, 122, 250)(117, 245, 128, 256)(120, 248, 126, 254)(121, 249, 125, 253)(123, 251, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 329, 457, 361, 489, 370, 498, 383, 511, 367, 495, 364, 492, 335, 463, 302, 430, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 310, 438, 346, 474, 373, 501, 358, 486, 379, 507, 355, 483, 376, 504, 352, 480, 318, 446, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 321, 449, 301, 429, 334, 462, 347, 475, 311, 439, 337, 465, 303, 431, 336, 464, 366, 494, 359, 487, 324, 452, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 331, 459, 362, 490, 368, 496, 349, 477, 313, 441, 340, 468, 305, 433, 339, 467, 328, 456, 293, 421, 327, 455, 298, 426, 276, 404)(267, 395, 279, 407, 304, 432, 338, 466, 317, 445, 351, 479, 330, 458, 295, 423, 320, 448, 287, 415, 319, 447, 354, 482, 371, 499, 341, 469, 306, 434, 280, 408)(269, 397, 283, 411, 312, 440, 348, 476, 374, 502, 356, 484, 332, 460, 297, 425, 323, 451, 289, 417, 322, 450, 345, 473, 309, 437, 344, 472, 314, 442, 284, 412)(273, 401, 291, 419, 325, 453, 300, 428, 277, 405, 299, 427, 333, 461, 357, 485, 378, 506, 353, 481, 377, 505, 363, 491, 380, 508, 360, 488, 326, 454, 292, 420)(281, 409, 307, 435, 342, 470, 316, 444, 285, 413, 315, 443, 350, 478, 369, 497, 382, 510, 365, 493, 381, 509, 375, 503, 384, 512, 372, 500, 343, 471, 308, 436)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 303)(24, 305)(25, 268)(26, 309)(27, 311)(28, 313)(29, 270)(30, 317)(31, 271)(32, 307)(33, 272)(34, 315)(35, 304)(36, 312)(37, 274)(38, 318)(39, 275)(40, 308)(41, 276)(42, 316)(43, 306)(44, 314)(45, 278)(46, 310)(47, 279)(48, 291)(49, 280)(50, 299)(51, 288)(52, 296)(53, 282)(54, 302)(55, 283)(56, 292)(57, 284)(58, 300)(59, 290)(60, 298)(61, 286)(62, 294)(63, 353)(64, 355)(65, 356)(66, 357)(67, 358)(68, 341)(69, 342)(70, 350)(71, 354)(72, 345)(73, 359)(74, 360)(75, 348)(76, 363)(77, 343)(78, 351)(79, 362)(80, 365)(81, 367)(82, 368)(83, 369)(84, 370)(85, 324)(86, 325)(87, 333)(88, 366)(89, 328)(90, 371)(91, 372)(92, 331)(93, 375)(94, 326)(95, 334)(96, 374)(97, 319)(98, 327)(99, 320)(100, 321)(101, 322)(102, 323)(103, 329)(104, 330)(105, 380)(106, 335)(107, 332)(108, 378)(109, 336)(110, 344)(111, 337)(112, 338)(113, 339)(114, 340)(115, 346)(116, 347)(117, 384)(118, 352)(119, 349)(120, 382)(121, 381)(122, 364)(123, 383)(124, 361)(125, 377)(126, 376)(127, 379)(128, 373)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2740
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 : C4) : C2 (small group id <128, 65>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^3 * Y1^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-1, Y1^8, (Y3^-1 * Y1)^4, Y1^-2 * Y3^6 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 74, 202, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 70, 198, 75, 203, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 69, 197, 82, 210, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 79, 207, 108, 236, 92, 220, 64, 192, 27, 155)(12, 140, 30, 158, 65, 193, 77, 205, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 46, 174, 83, 211, 109, 237, 100, 228, 66, 194, 36, 164)(19, 147, 47, 175, 76, 204, 110, 238, 104, 232, 68, 196, 31, 159, 49, 177)(22, 150, 55, 183, 78, 206, 113, 241, 94, 222, 58, 186, 24, 152, 53, 181)(26, 154, 62, 190, 93, 221, 125, 253, 127, 255, 115, 243, 89, 217, 56, 184)(28, 156, 50, 178, 81, 209, 112, 240, 91, 219, 59, 187, 37, 165, 54, 182)(39, 167, 67, 195, 102, 230, 124, 252, 128, 256, 111, 239, 85, 213, 72, 200)(48, 176, 86, 214, 71, 199, 101, 229, 126, 254, 99, 227, 117, 245, 84, 212)(60, 188, 95, 223, 121, 249, 107, 235, 114, 242, 80, 208, 61, 189, 88, 216)(63, 191, 90, 218, 116, 244, 105, 233, 120, 248, 106, 234, 119, 247, 96, 224)(73, 201, 87, 215, 118, 246, 98, 226, 122, 250, 97, 225, 123, 251, 103, 231)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 319)(27, 308)(28, 301)(29, 311)(30, 269)(31, 323)(32, 310)(33, 320)(34, 326)(35, 315)(36, 327)(37, 270)(38, 328)(39, 271)(40, 330)(41, 332)(42, 272)(43, 336)(44, 337)(45, 294)(46, 274)(47, 276)(48, 343)(49, 288)(50, 285)(51, 339)(52, 293)(53, 344)(54, 277)(55, 345)(56, 278)(57, 347)(58, 349)(59, 279)(60, 280)(61, 281)(62, 283)(63, 355)(64, 351)(65, 356)(66, 286)(67, 359)(68, 291)(69, 290)(70, 360)(71, 361)(72, 362)(73, 295)(74, 364)(75, 296)(76, 367)(77, 368)(78, 298)(79, 300)(80, 372)(81, 307)(82, 369)(83, 373)(84, 302)(85, 303)(86, 305)(87, 377)(88, 378)(89, 379)(90, 312)(91, 321)(92, 313)(93, 374)(94, 325)(95, 375)(96, 316)(97, 317)(98, 318)(99, 366)(100, 380)(101, 322)(102, 324)(103, 371)(104, 382)(105, 370)(106, 381)(107, 329)(108, 383)(109, 331)(110, 333)(111, 354)(112, 338)(113, 363)(114, 334)(115, 335)(116, 358)(117, 352)(118, 340)(119, 341)(120, 342)(121, 348)(122, 384)(123, 357)(124, 346)(125, 350)(126, 353)(127, 376)(128, 365)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2739
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2741 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-4)^2, (T1^-2 * T2)^4, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 101, 100, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 55, 77, 93, 109, 116, 107, 89, 68, 44, 36, 18, 8)(6, 13, 27, 51, 41, 64, 83, 99, 115, 121, 105, 87, 67, 54, 30, 14)(9, 19, 37, 62, 81, 97, 113, 117, 102, 91, 71, 46, 24, 45, 38, 20)(12, 25, 47, 40, 21, 39, 63, 82, 98, 114, 119, 103, 86, 74, 50, 26)(16, 28, 48, 69, 61, 76, 92, 108, 122, 128, 125, 111, 94, 80, 58, 33)(17, 29, 49, 70, 88, 104, 118, 126, 123, 112, 95, 78, 56, 75, 59, 34)(32, 52, 72, 60, 35, 53, 73, 90, 106, 120, 127, 124, 110, 96, 79, 57)
	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, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 106)(91, 108)(93, 110)(97, 111)(99, 112)(100, 115)(101, 116)(103, 118)(105, 120)(107, 122)(109, 123)(113, 124)(114, 125)(117, 126)(119, 127)(121, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2742
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2742 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, (T1^-1 * T2)^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 47, 52, 50, 39, 49, 38, 48)(44, 53, 51, 56, 46, 55, 45, 54)(57, 65, 60, 68, 59, 67, 58, 66)(61, 69, 64, 72, 63, 71, 62, 70)(73, 81, 76, 84, 75, 83, 74, 82)(77, 85, 80, 88, 79, 87, 78, 86)(89, 97, 92, 100, 91, 99, 90, 98)(93, 101, 96, 104, 95, 103, 94, 102)(105, 113, 108, 116, 107, 115, 106, 114)(109, 117, 112, 120, 111, 119, 110, 118)(121, 125, 124, 128, 123, 127, 122, 126)
	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, 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)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2741
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2743 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, (T2^-1 * T1)^16 ]
Map:: polytopal
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 48, 41, 29, 40, 27, 38)(31, 42, 53, 46, 35, 45, 33, 43)(47, 57, 51, 60, 50, 59, 49, 58)(52, 61, 56, 64, 55, 63, 54, 62)(65, 73, 68, 76, 67, 75, 66, 74)(69, 77, 72, 80, 71, 79, 70, 78)(81, 89, 84, 92, 83, 91, 82, 90)(85, 93, 88, 96, 87, 95, 86, 94)(97, 105, 100, 108, 99, 107, 98, 106)(101, 109, 104, 112, 103, 111, 102, 110)(113, 121, 116, 124, 115, 123, 114, 122)(117, 125, 120, 128, 119, 127, 118, 126)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 140)(138, 142)(143, 153)(144, 155)(145, 154)(146, 157)(147, 158)(148, 159)(149, 161)(150, 160)(151, 163)(152, 164)(156, 162)(165, 175)(166, 177)(167, 176)(168, 178)(169, 179)(170, 180)(171, 182)(172, 181)(173, 183)(174, 184)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(190, 198)(191, 199)(192, 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, 253)(250, 254)(251, 255)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2747
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2744 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T1 * T2^-2 * T1^3 * T2^-2, T1^8, T2^16 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 64, 80, 96, 112, 100, 84, 68, 52, 33, 15, 5)(2, 7, 19, 40, 57, 73, 89, 105, 120, 108, 92, 76, 60, 44, 22, 8)(4, 12, 29, 49, 65, 81, 97, 113, 123, 109, 93, 77, 61, 45, 23, 9)(6, 17, 36, 53, 69, 85, 101, 116, 126, 117, 102, 86, 70, 54, 38, 18)(11, 27, 37, 32, 51, 67, 83, 99, 115, 124, 110, 94, 78, 62, 46, 24)(13, 28, 43, 59, 75, 91, 107, 122, 127, 118, 103, 87, 71, 55, 39, 20)(14, 31, 50, 66, 82, 98, 114, 125, 111, 95, 79, 63, 47, 26, 35, 16)(21, 42, 58, 74, 90, 106, 121, 128, 119, 104, 88, 72, 56, 41, 30, 34)(129, 130, 134, 144, 162, 155, 141, 132)(131, 137, 145, 136, 149, 163, 156, 139)(133, 142, 146, 165, 158, 140, 148, 135)(138, 152, 164, 151, 170, 150, 171, 154)(143, 160, 166, 157, 169, 147, 167, 159)(153, 175, 181, 174, 186, 173, 187, 172)(161, 177, 182, 168, 184, 178, 183, 179)(176, 188, 197, 191, 202, 190, 203, 189)(180, 185, 198, 194, 200, 195, 199, 193)(192, 205, 213, 204, 218, 207, 219, 206)(196, 210, 214, 211, 216, 209, 215, 201)(208, 222, 229, 221, 234, 220, 235, 223)(212, 227, 230, 225, 232, 217, 231, 226)(224, 239, 244, 238, 249, 237, 250, 236)(228, 241, 245, 233, 247, 242, 246, 243)(240, 248, 254, 253, 256, 252, 255, 251)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2748
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2745 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-4)^2, (T1^-2 * T2)^4, T1^16 ]
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, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 106)(91, 108)(93, 110)(97, 111)(99, 112)(100, 115)(101, 116)(103, 118)(105, 120)(107, 122)(109, 123)(113, 124)(114, 125)(117, 126)(119, 127)(121, 128)(129, 130, 133, 139, 151, 171, 194, 213, 229, 228, 212, 193, 170, 150, 138, 132)(131, 135, 143, 159, 183, 205, 221, 237, 244, 235, 217, 196, 172, 164, 146, 136)(134, 141, 155, 179, 169, 192, 211, 227, 243, 249, 233, 215, 195, 182, 158, 142)(137, 147, 165, 190, 209, 225, 241, 245, 230, 219, 199, 174, 152, 173, 166, 148)(140, 153, 175, 168, 149, 167, 191, 210, 226, 242, 247, 231, 214, 202, 178, 154)(144, 156, 176, 197, 189, 204, 220, 236, 250, 256, 253, 239, 222, 208, 186, 161)(145, 157, 177, 198, 216, 232, 246, 254, 251, 240, 223, 206, 184, 203, 187, 162)(160, 180, 200, 188, 163, 181, 201, 218, 234, 248, 255, 252, 238, 224, 207, 185)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2746
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, (T2^-1 * T1)^16 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 17, 145, 28, 156, 19, 147, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 22, 150, 34, 162, 24, 152, 14, 142, 6, 134)(7, 135, 15, 143, 26, 154, 39, 167, 30, 158, 18, 146, 9, 137, 16, 144)(11, 139, 20, 148, 32, 160, 44, 172, 36, 164, 23, 151, 13, 141, 21, 149)(25, 153, 37, 165, 48, 176, 41, 169, 29, 157, 40, 168, 27, 155, 38, 166)(31, 159, 42, 170, 53, 181, 46, 174, 35, 163, 45, 173, 33, 161, 43, 171)(47, 175, 57, 185, 51, 179, 60, 188, 50, 178, 59, 187, 49, 177, 58, 186)(52, 180, 61, 189, 56, 184, 64, 192, 55, 183, 63, 191, 54, 182, 62, 190)(65, 193, 73, 201, 68, 196, 76, 204, 67, 195, 75, 203, 66, 194, 74, 202)(69, 197, 77, 205, 72, 200, 80, 208, 71, 199, 79, 207, 70, 198, 78, 206)(81, 209, 89, 217, 84, 212, 92, 220, 83, 211, 91, 219, 82, 210, 90, 218)(85, 213, 93, 221, 88, 216, 96, 224, 87, 215, 95, 223, 86, 214, 94, 222)(97, 225, 105, 233, 100, 228, 108, 236, 99, 227, 107, 235, 98, 226, 106, 234)(101, 229, 109, 237, 104, 232, 112, 240, 103, 231, 111, 239, 102, 230, 110, 238)(113, 241, 121, 249, 116, 244, 124, 252, 115, 243, 123, 251, 114, 242, 122, 250)(117, 245, 125, 253, 120, 248, 128, 256, 119, 247, 127, 255, 118, 246, 126, 254)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 140)(9, 132)(10, 142)(11, 133)(12, 136)(13, 134)(14, 138)(15, 153)(16, 155)(17, 154)(18, 157)(19, 158)(20, 159)(21, 161)(22, 160)(23, 163)(24, 164)(25, 143)(26, 145)(27, 144)(28, 162)(29, 146)(30, 147)(31, 148)(32, 150)(33, 149)(34, 156)(35, 151)(36, 152)(37, 175)(38, 177)(39, 176)(40, 178)(41, 179)(42, 180)(43, 182)(44, 181)(45, 183)(46, 184)(47, 165)(48, 167)(49, 166)(50, 168)(51, 169)(52, 170)(53, 172)(54, 171)(55, 173)(56, 174)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(121, 253)(122, 254)(123, 255)(124, 256)(125, 249)(126, 250)(127, 251)(128, 252)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2745
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2747 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, T1 * T2^-2 * T1^3 * T2^-2, T1^8, T2^16 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 25, 153, 48, 176, 64, 192, 80, 208, 96, 224, 112, 240, 100, 228, 84, 212, 68, 196, 52, 180, 33, 161, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 40, 168, 57, 185, 73, 201, 89, 217, 105, 233, 120, 248, 108, 236, 92, 220, 76, 204, 60, 188, 44, 172, 22, 150, 8, 136)(4, 132, 12, 140, 29, 157, 49, 177, 65, 193, 81, 209, 97, 225, 113, 241, 123, 251, 109, 237, 93, 221, 77, 205, 61, 189, 45, 173, 23, 151, 9, 137)(6, 134, 17, 145, 36, 164, 53, 181, 69, 197, 85, 213, 101, 229, 116, 244, 126, 254, 117, 245, 102, 230, 86, 214, 70, 198, 54, 182, 38, 166, 18, 146)(11, 139, 27, 155, 37, 165, 32, 160, 51, 179, 67, 195, 83, 211, 99, 227, 115, 243, 124, 252, 110, 238, 94, 222, 78, 206, 62, 190, 46, 174, 24, 152)(13, 141, 28, 156, 43, 171, 59, 187, 75, 203, 91, 219, 107, 235, 122, 250, 127, 255, 118, 246, 103, 231, 87, 215, 71, 199, 55, 183, 39, 167, 20, 148)(14, 142, 31, 159, 50, 178, 66, 194, 82, 210, 98, 226, 114, 242, 125, 253, 111, 239, 95, 223, 79, 207, 63, 191, 47, 175, 26, 154, 35, 163, 16, 144)(21, 149, 42, 170, 58, 186, 74, 202, 90, 218, 106, 234, 121, 249, 128, 256, 119, 247, 104, 232, 88, 216, 72, 200, 56, 184, 41, 169, 30, 158, 34, 162)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 145)(10, 152)(11, 131)(12, 148)(13, 132)(14, 146)(15, 160)(16, 162)(17, 136)(18, 165)(19, 167)(20, 135)(21, 163)(22, 171)(23, 170)(24, 164)(25, 175)(26, 138)(27, 141)(28, 139)(29, 169)(30, 140)(31, 143)(32, 166)(33, 177)(34, 155)(35, 156)(36, 151)(37, 158)(38, 157)(39, 159)(40, 184)(41, 147)(42, 150)(43, 154)(44, 153)(45, 187)(46, 186)(47, 181)(48, 188)(49, 182)(50, 183)(51, 161)(52, 185)(53, 174)(54, 168)(55, 179)(56, 178)(57, 198)(58, 173)(59, 172)(60, 197)(61, 176)(62, 203)(63, 202)(64, 205)(65, 180)(66, 200)(67, 199)(68, 210)(69, 191)(70, 194)(71, 193)(72, 195)(73, 196)(74, 190)(75, 189)(76, 218)(77, 213)(78, 192)(79, 219)(80, 222)(81, 215)(82, 214)(83, 216)(84, 227)(85, 204)(86, 211)(87, 201)(88, 209)(89, 231)(90, 207)(91, 206)(92, 235)(93, 234)(94, 229)(95, 208)(96, 239)(97, 232)(98, 212)(99, 230)(100, 241)(101, 221)(102, 225)(103, 226)(104, 217)(105, 247)(106, 220)(107, 223)(108, 224)(109, 250)(110, 249)(111, 244)(112, 248)(113, 245)(114, 246)(115, 228)(116, 238)(117, 233)(118, 243)(119, 242)(120, 254)(121, 237)(122, 236)(123, 240)(124, 255)(125, 256)(126, 253)(127, 251)(128, 252)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2743
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2748 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2 * T1^-4)^2, (T1^-2 * T2)^4, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 35, 163)(19, 147, 33, 161)(20, 148, 34, 162)(22, 150, 41, 169)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 49, 177)(27, 155, 52, 180)(30, 158, 53, 181)(31, 159, 56, 184)(36, 164, 61, 189)(37, 165, 57, 185)(38, 166, 60, 188)(39, 167, 58, 186)(40, 168, 59, 187)(42, 170, 55, 183)(43, 171, 67, 195)(45, 173, 69, 197)(46, 174, 70, 198)(47, 175, 72, 200)(50, 178, 73, 201)(51, 179, 75, 203)(54, 182, 76, 204)(62, 190, 78, 206)(63, 191, 79, 207)(64, 192, 80, 208)(65, 193, 81, 209)(66, 194, 86, 214)(68, 196, 88, 216)(71, 199, 90, 218)(74, 202, 92, 220)(77, 205, 94, 222)(82, 210, 95, 223)(83, 211, 96, 224)(84, 212, 98, 226)(85, 213, 102, 230)(87, 215, 104, 232)(89, 217, 106, 234)(91, 219, 108, 236)(93, 221, 110, 238)(97, 225, 111, 239)(99, 227, 112, 240)(100, 228, 115, 243)(101, 229, 116, 244)(103, 231, 118, 246)(105, 233, 120, 248)(107, 235, 122, 250)(109, 237, 123, 251)(113, 241, 124, 252)(114, 242, 125, 253)(117, 245, 126, 254)(119, 247, 127, 255)(121, 249, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 156)(17, 157)(18, 136)(19, 165)(20, 137)(21, 167)(22, 138)(23, 171)(24, 173)(25, 175)(26, 140)(27, 179)(28, 176)(29, 177)(30, 142)(31, 183)(32, 180)(33, 144)(34, 145)(35, 181)(36, 146)(37, 190)(38, 148)(39, 191)(40, 149)(41, 192)(42, 150)(43, 194)(44, 164)(45, 166)(46, 152)(47, 168)(48, 197)(49, 198)(50, 154)(51, 169)(52, 200)(53, 201)(54, 158)(55, 205)(56, 203)(57, 160)(58, 161)(59, 162)(60, 163)(61, 204)(62, 209)(63, 210)(64, 211)(65, 170)(66, 213)(67, 182)(68, 172)(69, 189)(70, 216)(71, 174)(72, 188)(73, 218)(74, 178)(75, 187)(76, 220)(77, 221)(78, 184)(79, 185)(80, 186)(81, 225)(82, 226)(83, 227)(84, 193)(85, 229)(86, 202)(87, 195)(88, 232)(89, 196)(90, 234)(91, 199)(92, 236)(93, 237)(94, 208)(95, 206)(96, 207)(97, 241)(98, 242)(99, 243)(100, 212)(101, 228)(102, 219)(103, 214)(104, 246)(105, 215)(106, 248)(107, 217)(108, 250)(109, 244)(110, 224)(111, 222)(112, 223)(113, 245)(114, 247)(115, 249)(116, 235)(117, 230)(118, 254)(119, 231)(120, 255)(121, 233)(122, 256)(123, 240)(124, 238)(125, 239)(126, 251)(127, 252)(128, 253)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2744
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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, Y2^8, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 12, 140)(10, 138, 14, 142)(15, 143, 25, 153)(16, 144, 27, 155)(17, 145, 26, 154)(18, 146, 29, 157)(19, 147, 30, 158)(20, 148, 31, 159)(21, 149, 33, 161)(22, 150, 32, 160)(23, 151, 35, 163)(24, 152, 36, 164)(28, 156, 34, 162)(37, 165, 47, 175)(38, 166, 49, 177)(39, 167, 48, 176)(40, 168, 50, 178)(41, 169, 51, 179)(42, 170, 52, 180)(43, 171, 54, 182)(44, 172, 53, 181)(45, 173, 55, 183)(46, 174, 56, 184)(57, 185, 65, 193)(58, 186, 66, 194)(59, 187, 67, 195)(60, 188, 68, 196)(61, 189, 69, 197)(62, 190, 70, 198)(63, 191, 71, 199)(64, 192, 72, 200)(73, 201, 81, 209)(74, 202, 82, 210)(75, 203, 83, 211)(76, 204, 84, 212)(77, 205, 85, 213)(78, 206, 86, 214)(79, 207, 87, 215)(80, 208, 88, 216)(89, 217, 97, 225)(90, 218, 98, 226)(91, 219, 99, 227)(92, 220, 100, 228)(93, 221, 101, 229)(94, 222, 102, 230)(95, 223, 103, 231)(96, 224, 104, 232)(105, 233, 113, 241)(106, 234, 114, 242)(107, 235, 115, 243)(108, 236, 116, 244)(109, 237, 117, 245)(110, 238, 118, 246)(111, 239, 119, 247)(112, 240, 120, 248)(121, 249, 125, 253)(122, 250, 126, 254)(123, 251, 127, 255)(124, 252, 128, 256)(257, 385, 259, 387, 264, 392, 273, 401, 284, 412, 275, 403, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 278, 406, 290, 418, 280, 408, 270, 398, 262, 390)(263, 391, 271, 399, 282, 410, 295, 423, 286, 414, 274, 402, 265, 393, 272, 400)(267, 395, 276, 404, 288, 416, 300, 428, 292, 420, 279, 407, 269, 397, 277, 405)(281, 409, 293, 421, 304, 432, 297, 425, 285, 413, 296, 424, 283, 411, 294, 422)(287, 415, 298, 426, 309, 437, 302, 430, 291, 419, 301, 429, 289, 417, 299, 427)(303, 431, 313, 441, 307, 435, 316, 444, 306, 434, 315, 443, 305, 433, 314, 442)(308, 436, 317, 445, 312, 440, 320, 448, 311, 439, 319, 447, 310, 438, 318, 446)(321, 449, 329, 457, 324, 452, 332, 460, 323, 451, 331, 459, 322, 450, 330, 458)(325, 453, 333, 461, 328, 456, 336, 464, 327, 455, 335, 463, 326, 454, 334, 462)(337, 465, 345, 473, 340, 468, 348, 476, 339, 467, 347, 475, 338, 466, 346, 474)(341, 469, 349, 477, 344, 472, 352, 480, 343, 471, 351, 479, 342, 470, 350, 478)(353, 481, 361, 489, 356, 484, 364, 492, 355, 483, 363, 491, 354, 482, 362, 490)(357, 485, 365, 493, 360, 488, 368, 496, 359, 487, 367, 495, 358, 486, 366, 494)(369, 497, 377, 505, 372, 500, 380, 508, 371, 499, 379, 507, 370, 498, 378, 506)(373, 501, 381, 509, 376, 504, 384, 512, 375, 503, 383, 511, 374, 502, 382, 510)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 268)(9, 260)(10, 270)(11, 261)(12, 264)(13, 262)(14, 266)(15, 281)(16, 283)(17, 282)(18, 285)(19, 286)(20, 287)(21, 289)(22, 288)(23, 291)(24, 292)(25, 271)(26, 273)(27, 272)(28, 290)(29, 274)(30, 275)(31, 276)(32, 278)(33, 277)(34, 284)(35, 279)(36, 280)(37, 303)(38, 305)(39, 304)(40, 306)(41, 307)(42, 308)(43, 310)(44, 309)(45, 311)(46, 312)(47, 293)(48, 295)(49, 294)(50, 296)(51, 297)(52, 298)(53, 300)(54, 299)(55, 301)(56, 302)(57, 321)(58, 322)(59, 323)(60, 324)(61, 325)(62, 326)(63, 327)(64, 328)(65, 313)(66, 314)(67, 315)(68, 316)(69, 317)(70, 318)(71, 319)(72, 320)(73, 337)(74, 338)(75, 339)(76, 340)(77, 341)(78, 342)(79, 343)(80, 344)(81, 329)(82, 330)(83, 331)(84, 332)(85, 333)(86, 334)(87, 335)(88, 336)(89, 353)(90, 354)(91, 355)(92, 356)(93, 357)(94, 358)(95, 359)(96, 360)(97, 345)(98, 346)(99, 347)(100, 348)(101, 349)(102, 350)(103, 351)(104, 352)(105, 369)(106, 370)(107, 371)(108, 372)(109, 373)(110, 374)(111, 375)(112, 376)(113, 361)(114, 362)(115, 363)(116, 364)(117, 365)(118, 366)(119, 367)(120, 368)(121, 381)(122, 382)(123, 383)(124, 384)(125, 377)(126, 378)(127, 379)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2752
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, Y1 * Y2^-2 * Y1^3 * Y2^-2, Y1^8, Y2^16 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 34, 162, 27, 155, 13, 141, 4, 132)(3, 131, 9, 137, 17, 145, 8, 136, 21, 149, 35, 163, 28, 156, 11, 139)(5, 133, 14, 142, 18, 146, 37, 165, 30, 158, 12, 140, 20, 148, 7, 135)(10, 138, 24, 152, 36, 164, 23, 151, 42, 170, 22, 150, 43, 171, 26, 154)(15, 143, 32, 160, 38, 166, 29, 157, 41, 169, 19, 147, 39, 167, 31, 159)(25, 153, 47, 175, 53, 181, 46, 174, 58, 186, 45, 173, 59, 187, 44, 172)(33, 161, 49, 177, 54, 182, 40, 168, 56, 184, 50, 178, 55, 183, 51, 179)(48, 176, 60, 188, 69, 197, 63, 191, 74, 202, 62, 190, 75, 203, 61, 189)(52, 180, 57, 185, 70, 198, 66, 194, 72, 200, 67, 195, 71, 199, 65, 193)(64, 192, 77, 205, 85, 213, 76, 204, 90, 218, 79, 207, 91, 219, 78, 206)(68, 196, 82, 210, 86, 214, 83, 211, 88, 216, 81, 209, 87, 215, 73, 201)(80, 208, 94, 222, 101, 229, 93, 221, 106, 234, 92, 220, 107, 235, 95, 223)(84, 212, 99, 227, 102, 230, 97, 225, 104, 232, 89, 217, 103, 231, 98, 226)(96, 224, 111, 239, 116, 244, 110, 238, 121, 249, 109, 237, 122, 250, 108, 236)(100, 228, 113, 241, 117, 245, 105, 233, 119, 247, 114, 242, 118, 246, 115, 243)(112, 240, 120, 248, 126, 254, 125, 253, 128, 256, 124, 252, 127, 255, 123, 251)(257, 385, 259, 387, 266, 394, 281, 409, 304, 432, 320, 448, 336, 464, 352, 480, 368, 496, 356, 484, 340, 468, 324, 452, 308, 436, 289, 417, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 296, 424, 313, 441, 329, 457, 345, 473, 361, 489, 376, 504, 364, 492, 348, 476, 332, 460, 316, 444, 300, 428, 278, 406, 264, 392)(260, 388, 268, 396, 285, 413, 305, 433, 321, 449, 337, 465, 353, 481, 369, 497, 379, 507, 365, 493, 349, 477, 333, 461, 317, 445, 301, 429, 279, 407, 265, 393)(262, 390, 273, 401, 292, 420, 309, 437, 325, 453, 341, 469, 357, 485, 372, 500, 382, 510, 373, 501, 358, 486, 342, 470, 326, 454, 310, 438, 294, 422, 274, 402)(267, 395, 283, 411, 293, 421, 288, 416, 307, 435, 323, 451, 339, 467, 355, 483, 371, 499, 380, 508, 366, 494, 350, 478, 334, 462, 318, 446, 302, 430, 280, 408)(269, 397, 284, 412, 299, 427, 315, 443, 331, 459, 347, 475, 363, 491, 378, 506, 383, 511, 374, 502, 359, 487, 343, 471, 327, 455, 311, 439, 295, 423, 276, 404)(270, 398, 287, 415, 306, 434, 322, 450, 338, 466, 354, 482, 370, 498, 381, 509, 367, 495, 351, 479, 335, 463, 319, 447, 303, 431, 282, 410, 291, 419, 272, 400)(277, 405, 298, 426, 314, 442, 330, 458, 346, 474, 362, 490, 377, 505, 384, 512, 375, 503, 360, 488, 344, 472, 328, 456, 312, 440, 297, 425, 286, 414, 290, 418)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 281)(11, 283)(12, 285)(13, 284)(14, 287)(15, 261)(16, 270)(17, 292)(18, 262)(19, 296)(20, 269)(21, 298)(22, 264)(23, 265)(24, 267)(25, 304)(26, 291)(27, 293)(28, 299)(29, 305)(30, 290)(31, 306)(32, 307)(33, 271)(34, 277)(35, 272)(36, 309)(37, 288)(38, 274)(39, 276)(40, 313)(41, 286)(42, 314)(43, 315)(44, 278)(45, 279)(46, 280)(47, 282)(48, 320)(49, 321)(50, 322)(51, 323)(52, 289)(53, 325)(54, 294)(55, 295)(56, 297)(57, 329)(58, 330)(59, 331)(60, 300)(61, 301)(62, 302)(63, 303)(64, 336)(65, 337)(66, 338)(67, 339)(68, 308)(69, 341)(70, 310)(71, 311)(72, 312)(73, 345)(74, 346)(75, 347)(76, 316)(77, 317)(78, 318)(79, 319)(80, 352)(81, 353)(82, 354)(83, 355)(84, 324)(85, 357)(86, 326)(87, 327)(88, 328)(89, 361)(90, 362)(91, 363)(92, 332)(93, 333)(94, 334)(95, 335)(96, 368)(97, 369)(98, 370)(99, 371)(100, 340)(101, 372)(102, 342)(103, 343)(104, 344)(105, 376)(106, 377)(107, 378)(108, 348)(109, 349)(110, 350)(111, 351)(112, 356)(113, 379)(114, 381)(115, 380)(116, 382)(117, 358)(118, 359)(119, 360)(120, 364)(121, 384)(122, 383)(123, 365)(124, 366)(125, 367)(126, 373)(127, 374)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2751
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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, (Y3^4 * Y2)^2, (Y3^-2 * Y2)^4, Y3^16, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 279, 407)(272, 400, 283, 411)(274, 402, 291, 419)(275, 403, 280, 408)(276, 404, 284, 412)(278, 406, 297, 425)(282, 410, 303, 431)(286, 414, 309, 437)(287, 415, 301, 429)(288, 416, 307, 435)(289, 417, 299, 427)(290, 418, 305, 433)(292, 420, 310, 438)(293, 421, 302, 430)(294, 422, 308, 436)(295, 423, 300, 428)(296, 424, 306, 434)(298, 426, 304, 432)(311, 439, 326, 454)(312, 440, 331, 459)(313, 441, 324, 452)(314, 442, 330, 458)(315, 443, 322, 450)(316, 444, 329, 457)(317, 445, 333, 461)(318, 446, 327, 455)(319, 447, 325, 453)(320, 448, 323, 451)(321, 449, 337, 465)(328, 456, 341, 469)(332, 460, 345, 473)(334, 462, 347, 475)(335, 463, 346, 474)(336, 464, 350, 478)(338, 466, 343, 471)(339, 467, 342, 470)(340, 468, 354, 482)(344, 472, 358, 486)(348, 476, 362, 490)(349, 477, 361, 489)(351, 479, 363, 491)(352, 480, 367, 495)(353, 481, 357, 485)(355, 483, 359, 487)(356, 484, 371, 499)(360, 488, 374, 502)(364, 492, 378, 506)(365, 493, 377, 505)(366, 494, 376, 504)(368, 496, 375, 503)(369, 497, 373, 501)(370, 498, 372, 500)(379, 507, 382, 510)(380, 508, 383, 511)(381, 509, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 287)(16, 263)(17, 289)(18, 292)(19, 293)(20, 265)(21, 295)(22, 266)(23, 299)(24, 267)(25, 301)(26, 304)(27, 305)(28, 269)(29, 307)(30, 270)(31, 311)(32, 272)(33, 313)(34, 273)(35, 315)(36, 317)(37, 318)(38, 276)(39, 319)(40, 277)(41, 320)(42, 278)(43, 322)(44, 280)(45, 324)(46, 281)(47, 326)(48, 328)(49, 329)(50, 284)(51, 330)(52, 285)(53, 331)(54, 286)(55, 297)(56, 288)(57, 296)(58, 290)(59, 294)(60, 291)(61, 336)(62, 337)(63, 338)(64, 339)(65, 298)(66, 309)(67, 300)(68, 308)(69, 302)(70, 306)(71, 303)(72, 344)(73, 345)(74, 346)(75, 347)(76, 310)(77, 312)(78, 314)(79, 316)(80, 352)(81, 353)(82, 354)(83, 355)(84, 321)(85, 323)(86, 325)(87, 327)(88, 360)(89, 361)(90, 362)(91, 363)(92, 332)(93, 333)(94, 334)(95, 335)(96, 368)(97, 369)(98, 370)(99, 371)(100, 340)(101, 341)(102, 342)(103, 343)(104, 375)(105, 376)(106, 377)(107, 378)(108, 348)(109, 349)(110, 350)(111, 351)(112, 356)(113, 381)(114, 380)(115, 379)(116, 357)(117, 358)(118, 359)(119, 364)(120, 384)(121, 383)(122, 382)(123, 365)(124, 366)(125, 367)(126, 372)(127, 373)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2750
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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^-1, Y3^-1, Y1^-1), Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1, (Y3^-1 * Y1^-1)^8, Y1^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 43, 171, 66, 194, 85, 213, 101, 229, 100, 228, 84, 212, 65, 193, 42, 170, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 55, 183, 77, 205, 93, 221, 109, 237, 116, 244, 107, 235, 89, 217, 68, 196, 44, 172, 36, 164, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 41, 169, 64, 192, 83, 211, 99, 227, 115, 243, 121, 249, 105, 233, 87, 215, 67, 195, 54, 182, 30, 158, 14, 142)(9, 137, 19, 147, 37, 165, 62, 190, 81, 209, 97, 225, 113, 241, 117, 245, 102, 230, 91, 219, 71, 199, 46, 174, 24, 152, 45, 173, 38, 166, 20, 148)(12, 140, 25, 153, 47, 175, 40, 168, 21, 149, 39, 167, 63, 191, 82, 210, 98, 226, 114, 242, 119, 247, 103, 231, 86, 214, 74, 202, 50, 178, 26, 154)(16, 144, 28, 156, 48, 176, 69, 197, 61, 189, 76, 204, 92, 220, 108, 236, 122, 250, 128, 256, 125, 253, 111, 239, 94, 222, 80, 208, 58, 186, 33, 161)(17, 145, 29, 157, 49, 177, 70, 198, 88, 216, 104, 232, 118, 246, 126, 254, 123, 251, 112, 240, 95, 223, 78, 206, 56, 184, 75, 203, 59, 187, 34, 162)(32, 160, 52, 180, 72, 200, 60, 188, 35, 163, 53, 181, 73, 201, 90, 218, 106, 234, 120, 248, 127, 255, 124, 252, 110, 238, 96, 224, 79, 207, 57, 185)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 291)(19, 289)(20, 290)(21, 266)(22, 297)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 309)(31, 312)(32, 271)(33, 275)(34, 276)(35, 274)(36, 317)(37, 313)(38, 316)(39, 314)(40, 315)(41, 278)(42, 311)(43, 323)(44, 279)(45, 325)(46, 326)(47, 328)(48, 281)(49, 282)(50, 329)(51, 331)(52, 283)(53, 286)(54, 332)(55, 298)(56, 287)(57, 293)(58, 295)(59, 296)(60, 294)(61, 292)(62, 334)(63, 335)(64, 336)(65, 337)(66, 342)(67, 299)(68, 344)(69, 301)(70, 302)(71, 346)(72, 303)(73, 306)(74, 348)(75, 307)(76, 310)(77, 350)(78, 318)(79, 319)(80, 320)(81, 321)(82, 351)(83, 352)(84, 354)(85, 358)(86, 322)(87, 360)(88, 324)(89, 362)(90, 327)(91, 364)(92, 330)(93, 366)(94, 333)(95, 338)(96, 339)(97, 367)(98, 340)(99, 368)(100, 371)(101, 372)(102, 341)(103, 374)(104, 343)(105, 376)(106, 345)(107, 378)(108, 347)(109, 379)(110, 349)(111, 353)(112, 355)(113, 380)(114, 381)(115, 356)(116, 357)(117, 382)(118, 359)(119, 383)(120, 361)(121, 384)(122, 363)(123, 365)(124, 369)(125, 370)(126, 373)(127, 375)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2749
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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^-3 * Y1 * Y2^-1)^2, (Y2^2 * Y1)^4, (Y3 * Y2^-1)^8, Y2^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 23, 151)(16, 144, 27, 155)(18, 146, 35, 163)(19, 147, 24, 152)(20, 148, 28, 156)(22, 150, 41, 169)(26, 154, 47, 175)(30, 158, 53, 181)(31, 159, 45, 173)(32, 160, 51, 179)(33, 161, 43, 171)(34, 162, 49, 177)(36, 164, 54, 182)(37, 165, 46, 174)(38, 166, 52, 180)(39, 167, 44, 172)(40, 168, 50, 178)(42, 170, 48, 176)(55, 183, 70, 198)(56, 184, 75, 203)(57, 185, 68, 196)(58, 186, 74, 202)(59, 187, 66, 194)(60, 188, 73, 201)(61, 189, 77, 205)(62, 190, 71, 199)(63, 191, 69, 197)(64, 192, 67, 195)(65, 193, 81, 209)(72, 200, 85, 213)(76, 204, 89, 217)(78, 206, 91, 219)(79, 207, 90, 218)(80, 208, 94, 222)(82, 210, 87, 215)(83, 211, 86, 214)(84, 212, 98, 226)(88, 216, 102, 230)(92, 220, 106, 234)(93, 221, 105, 233)(95, 223, 107, 235)(96, 224, 111, 239)(97, 225, 101, 229)(99, 227, 103, 231)(100, 228, 115, 243)(104, 232, 118, 246)(108, 236, 122, 250)(109, 237, 121, 249)(110, 238, 120, 248)(112, 240, 119, 247)(113, 241, 117, 245)(114, 242, 116, 244)(123, 251, 126, 254)(124, 252, 127, 255)(125, 253, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 292, 420, 317, 445, 336, 464, 352, 480, 368, 496, 356, 484, 340, 468, 321, 449, 298, 426, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 304, 432, 328, 456, 344, 472, 360, 488, 375, 503, 364, 492, 348, 476, 332, 460, 310, 438, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 311, 439, 297, 425, 320, 448, 339, 467, 355, 483, 371, 499, 379, 507, 365, 493, 349, 477, 333, 461, 312, 440, 288, 416, 272, 400)(265, 393, 275, 403, 293, 421, 318, 446, 337, 465, 353, 481, 369, 497, 381, 509, 367, 495, 351, 479, 335, 463, 316, 444, 291, 419, 315, 443, 294, 422, 276, 404)(267, 395, 279, 407, 299, 427, 322, 450, 309, 437, 331, 459, 347, 475, 363, 491, 378, 506, 382, 510, 372, 500, 357, 485, 341, 469, 323, 451, 300, 428, 280, 408)(269, 397, 283, 411, 305, 433, 329, 457, 345, 473, 361, 489, 376, 504, 384, 512, 374, 502, 359, 487, 343, 471, 327, 455, 303, 431, 326, 454, 306, 434, 284, 412)(273, 401, 289, 417, 313, 441, 296, 424, 277, 405, 295, 423, 319, 447, 338, 466, 354, 482, 370, 498, 380, 508, 366, 494, 350, 478, 334, 462, 314, 442, 290, 418)(281, 409, 301, 429, 324, 452, 308, 436, 285, 413, 307, 435, 330, 458, 346, 474, 362, 490, 377, 505, 383, 511, 373, 501, 358, 486, 342, 470, 325, 453, 302, 430)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 279)(16, 283)(17, 264)(18, 291)(19, 280)(20, 284)(21, 266)(22, 297)(23, 271)(24, 275)(25, 268)(26, 303)(27, 272)(28, 276)(29, 270)(30, 309)(31, 301)(32, 307)(33, 299)(34, 305)(35, 274)(36, 310)(37, 302)(38, 308)(39, 300)(40, 306)(41, 278)(42, 304)(43, 289)(44, 295)(45, 287)(46, 293)(47, 282)(48, 298)(49, 290)(50, 296)(51, 288)(52, 294)(53, 286)(54, 292)(55, 326)(56, 331)(57, 324)(58, 330)(59, 322)(60, 329)(61, 333)(62, 327)(63, 325)(64, 323)(65, 337)(66, 315)(67, 320)(68, 313)(69, 319)(70, 311)(71, 318)(72, 341)(73, 316)(74, 314)(75, 312)(76, 345)(77, 317)(78, 347)(79, 346)(80, 350)(81, 321)(82, 343)(83, 342)(84, 354)(85, 328)(86, 339)(87, 338)(88, 358)(89, 332)(90, 335)(91, 334)(92, 362)(93, 361)(94, 336)(95, 363)(96, 367)(97, 357)(98, 340)(99, 359)(100, 371)(101, 353)(102, 344)(103, 355)(104, 374)(105, 349)(106, 348)(107, 351)(108, 378)(109, 377)(110, 376)(111, 352)(112, 375)(113, 373)(114, 372)(115, 356)(116, 370)(117, 369)(118, 360)(119, 368)(120, 366)(121, 365)(122, 364)(123, 382)(124, 383)(125, 384)(126, 379)(127, 380)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2754
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C16 x C4) : C2 (small group id <128, 63>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^3 * Y1^-1)^2, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 16, 144, 34, 162, 27, 155, 13, 141, 4, 132)(3, 131, 9, 137, 17, 145, 8, 136, 21, 149, 35, 163, 28, 156, 11, 139)(5, 133, 14, 142, 18, 146, 37, 165, 30, 158, 12, 140, 20, 148, 7, 135)(10, 138, 24, 152, 36, 164, 23, 151, 42, 170, 22, 150, 43, 171, 26, 154)(15, 143, 32, 160, 38, 166, 29, 157, 41, 169, 19, 147, 39, 167, 31, 159)(25, 153, 47, 175, 53, 181, 46, 174, 58, 186, 45, 173, 59, 187, 44, 172)(33, 161, 49, 177, 54, 182, 40, 168, 56, 184, 50, 178, 55, 183, 51, 179)(48, 176, 60, 188, 69, 197, 63, 191, 74, 202, 62, 190, 75, 203, 61, 189)(52, 180, 57, 185, 70, 198, 66, 194, 72, 200, 67, 195, 71, 199, 65, 193)(64, 192, 77, 205, 85, 213, 76, 204, 90, 218, 79, 207, 91, 219, 78, 206)(68, 196, 82, 210, 86, 214, 83, 211, 88, 216, 81, 209, 87, 215, 73, 201)(80, 208, 94, 222, 101, 229, 93, 221, 106, 234, 92, 220, 107, 235, 95, 223)(84, 212, 99, 227, 102, 230, 97, 225, 104, 232, 89, 217, 103, 231, 98, 226)(96, 224, 111, 239, 116, 244, 110, 238, 121, 249, 109, 237, 122, 250, 108, 236)(100, 228, 113, 241, 117, 245, 105, 233, 119, 247, 114, 242, 118, 246, 115, 243)(112, 240, 120, 248, 126, 254, 125, 253, 128, 256, 124, 252, 127, 255, 123, 251)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 281)(11, 283)(12, 285)(13, 284)(14, 287)(15, 261)(16, 270)(17, 292)(18, 262)(19, 296)(20, 269)(21, 298)(22, 264)(23, 265)(24, 267)(25, 304)(26, 291)(27, 293)(28, 299)(29, 305)(30, 290)(31, 306)(32, 307)(33, 271)(34, 277)(35, 272)(36, 309)(37, 288)(38, 274)(39, 276)(40, 313)(41, 286)(42, 314)(43, 315)(44, 278)(45, 279)(46, 280)(47, 282)(48, 320)(49, 321)(50, 322)(51, 323)(52, 289)(53, 325)(54, 294)(55, 295)(56, 297)(57, 329)(58, 330)(59, 331)(60, 300)(61, 301)(62, 302)(63, 303)(64, 336)(65, 337)(66, 338)(67, 339)(68, 308)(69, 341)(70, 310)(71, 311)(72, 312)(73, 345)(74, 346)(75, 347)(76, 316)(77, 317)(78, 318)(79, 319)(80, 352)(81, 353)(82, 354)(83, 355)(84, 324)(85, 357)(86, 326)(87, 327)(88, 328)(89, 361)(90, 362)(91, 363)(92, 332)(93, 333)(94, 334)(95, 335)(96, 368)(97, 369)(98, 370)(99, 371)(100, 340)(101, 372)(102, 342)(103, 343)(104, 344)(105, 376)(106, 377)(107, 378)(108, 348)(109, 349)(110, 350)(111, 351)(112, 356)(113, 379)(114, 381)(115, 380)(116, 382)(117, 358)(118, 359)(119, 360)(120, 364)(121, 384)(122, 383)(123, 365)(124, 366)(125, 367)(126, 373)(127, 374)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2753
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2755 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-5, (T1^-3 * T2 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 32, 56, 76, 70, 37, 61, 46, 22, 10, 4)(3, 7, 15, 31, 54, 26, 12, 25, 51, 44, 21, 43, 48, 38, 18, 8)(6, 13, 27, 55, 45, 50, 24, 49, 42, 20, 9, 19, 39, 62, 30, 14)(16, 33, 52, 77, 71, 86, 63, 85, 69, 36, 17, 35, 53, 78, 66, 34)(28, 57, 74, 95, 84, 98, 79, 73, 41, 60, 29, 59, 75, 72, 40, 58)(64, 87, 105, 117, 97, 116, 96, 92, 68, 90, 65, 89, 106, 91, 67, 88)(80, 99, 94, 114, 93, 113, 115, 104, 83, 102, 81, 101, 118, 103, 82, 100)(107, 119, 112, 124, 111, 123, 128, 126, 110, 122, 108, 120, 127, 125, 109, 121)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 64)(34, 65)(35, 67)(36, 68)(38, 71)(39, 47)(42, 70)(43, 66)(44, 69)(46, 54)(49, 74)(50, 75)(51, 76)(55, 79)(57, 80)(58, 81)(59, 82)(60, 83)(62, 84)(72, 93)(73, 94)(77, 96)(78, 97)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 115)(98, 118)(99, 119)(100, 120)(101, 121)(102, 122)(103, 123)(104, 124)(113, 125)(114, 126)(116, 127)(117, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2756
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2756 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 50, 76, 70, 90, 65, 34)(17, 35, 51, 77, 61, 85, 68, 36)(28, 55, 73, 95, 84, 71, 40, 56)(29, 57, 74, 96, 79, 72, 41, 58)(32, 54, 75, 69, 37, 59, 78, 62)(63, 86, 105, 123, 110, 91, 66, 87)(64, 88, 98, 116, 97, 92, 67, 89)(80, 99, 94, 113, 93, 103, 82, 100)(81, 101, 115, 126, 114, 104, 83, 102)(106, 120, 112, 118, 111, 125, 108, 124)(107, 122, 127, 121, 128, 119, 109, 117)
	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, 61)(33, 63)(34, 64)(35, 66)(36, 67)(38, 70)(39, 62)(42, 69)(43, 65)(44, 68)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 93)(72, 94)(76, 97)(77, 98)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 114)(96, 115)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 124)(116, 127)(123, 128)(125, 126)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2755
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2757 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^-1 * T1 * T2^-3)^2, T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 45, 66, 34, 16)(9, 19, 40, 70, 37, 69, 42, 20)(11, 23, 47, 75, 60, 78, 49, 24)(13, 27, 55, 82, 52, 81, 57, 28)(17, 35, 67, 44, 21, 43, 68, 36)(25, 50, 79, 59, 29, 58, 80, 51)(31, 61, 86, 107, 92, 71, 39, 62)(33, 64, 90, 110, 88, 72, 41, 65)(46, 73, 96, 116, 102, 83, 54, 74)(48, 76, 100, 119, 98, 84, 56, 77)(85, 105, 94, 113, 93, 111, 89, 106)(87, 108, 124, 128, 123, 112, 91, 109)(95, 114, 104, 122, 103, 120, 99, 115)(97, 117, 127, 125, 126, 121, 101, 118)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 178)(162, 186)(163, 175)(164, 183)(166, 181)(168, 179)(170, 187)(171, 177)(172, 185)(189, 213)(190, 215)(191, 216)(192, 217)(193, 219)(194, 220)(195, 207)(196, 208)(197, 214)(198, 218)(199, 221)(200, 222)(201, 223)(202, 225)(203, 226)(204, 227)(205, 229)(206, 230)(209, 224)(210, 228)(211, 231)(212, 232)(233, 246)(234, 250)(235, 251)(236, 249)(237, 242)(238, 252)(239, 253)(240, 245)(241, 243)(244, 254)(247, 255)(248, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2761
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2758 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T2^-1 * T1 * T2^-2 * T1^-2 * T2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, (T2^-1 * T1)^4, (T2^3 * T1^-1)^2, T1^8, T2 * T1^-1 * T2^-6 * T1 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 86, 49, 32, 54, 21, 53, 88, 73, 39, 15, 5)(2, 7, 19, 48, 87, 61, 25, 11, 28, 45, 38, 72, 90, 56, 22, 8)(4, 12, 31, 67, 97, 62, 27, 52, 37, 14, 36, 71, 96, 60, 24, 9)(6, 17, 43, 80, 110, 85, 47, 20, 50, 29, 55, 89, 112, 84, 46, 18)(13, 33, 64, 95, 116, 100, 68, 35, 59, 23, 58, 93, 115, 99, 66, 30)(16, 41, 76, 105, 122, 109, 79, 44, 81, 51, 83, 111, 124, 108, 78, 42)(34, 70, 101, 118, 125, 113, 92, 57, 91, 65, 98, 117, 126, 114, 94, 69)(40, 74, 102, 119, 127, 121, 104, 77, 106, 82, 107, 123, 128, 120, 103, 75)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 202, 170, 157, 139)(133, 142, 163, 198, 203, 179, 148, 135)(136, 149, 180, 161, 197, 210, 172, 145)(138, 153, 171, 207, 230, 220, 192, 155)(140, 158, 193, 205, 169, 146, 173, 160)(143, 166, 174, 211, 231, 226, 194, 164)(147, 175, 204, 232, 229, 196, 159, 177)(150, 183, 206, 235, 222, 186, 152, 181)(154, 190, 221, 242, 247, 237, 217, 184)(156, 178, 209, 234, 219, 187, 165, 182)(167, 195, 228, 245, 248, 233, 213, 200)(176, 214, 199, 227, 246, 249, 239, 212)(188, 223, 241, 251, 236, 208, 189, 216)(191, 218, 238, 252, 255, 254, 244, 224)(201, 215, 240, 250, 256, 253, 243, 225)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2762
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2759 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-5, (T1^-3 * T2 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1^-1)^8 ]
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, 63)(33, 64)(34, 65)(35, 67)(36, 68)(38, 71)(39, 47)(42, 70)(43, 66)(44, 69)(46, 54)(49, 74)(50, 75)(51, 76)(55, 79)(57, 80)(58, 81)(59, 82)(60, 83)(62, 84)(72, 93)(73, 94)(77, 96)(78, 97)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 115)(98, 118)(99, 119)(100, 120)(101, 121)(102, 122)(103, 123)(104, 124)(113, 125)(114, 126)(116, 127)(117, 128)(129, 130, 133, 139, 151, 175, 160, 184, 204, 198, 165, 189, 174, 150, 138, 132)(131, 135, 143, 159, 182, 154, 140, 153, 179, 172, 149, 171, 176, 166, 146, 136)(134, 141, 155, 183, 173, 178, 152, 177, 170, 148, 137, 147, 167, 190, 158, 142)(144, 161, 180, 205, 199, 214, 191, 213, 197, 164, 145, 163, 181, 206, 194, 162)(156, 185, 202, 223, 212, 226, 207, 201, 169, 188, 157, 187, 203, 200, 168, 186)(192, 215, 233, 245, 225, 244, 224, 220, 196, 218, 193, 217, 234, 219, 195, 216)(208, 227, 222, 242, 221, 241, 243, 232, 211, 230, 209, 229, 246, 231, 210, 228)(235, 247, 240, 252, 239, 251, 256, 254, 238, 250, 236, 248, 255, 253, 237, 249)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2760
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2760 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^-1 * T1 * T2^-3)^2, T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 45, 173, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 69, 197, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 75, 203, 60, 188, 78, 206, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 82, 210, 52, 180, 81, 209, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 68, 196, 36, 164)(25, 153, 50, 178, 79, 207, 59, 187, 29, 157, 58, 186, 80, 208, 51, 179)(31, 159, 61, 189, 86, 214, 107, 235, 92, 220, 71, 199, 39, 167, 62, 190)(33, 161, 64, 192, 90, 218, 110, 238, 88, 216, 72, 200, 41, 169, 65, 193)(46, 174, 73, 201, 96, 224, 116, 244, 102, 230, 83, 211, 54, 182, 74, 202)(48, 176, 76, 204, 100, 228, 119, 247, 98, 226, 84, 212, 56, 184, 77, 205)(85, 213, 105, 233, 94, 222, 113, 241, 93, 221, 111, 239, 89, 217, 106, 234)(87, 215, 108, 236, 124, 252, 128, 256, 123, 251, 112, 240, 91, 219, 109, 237)(95, 223, 114, 242, 104, 232, 122, 250, 103, 231, 120, 248, 99, 227, 115, 243)(97, 225, 117, 245, 127, 255, 125, 253, 126, 254, 121, 249, 101, 229, 118, 246)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 178)(33, 144)(34, 186)(35, 175)(36, 183)(37, 146)(38, 181)(39, 147)(40, 179)(41, 148)(42, 187)(43, 177)(44, 185)(45, 150)(46, 151)(47, 163)(48, 152)(49, 171)(50, 160)(51, 168)(52, 154)(53, 166)(54, 155)(55, 164)(56, 156)(57, 172)(58, 162)(59, 170)(60, 158)(61, 213)(62, 215)(63, 216)(64, 217)(65, 219)(66, 220)(67, 207)(68, 208)(69, 214)(70, 218)(71, 221)(72, 222)(73, 223)(74, 225)(75, 226)(76, 227)(77, 229)(78, 230)(79, 195)(80, 196)(81, 224)(82, 228)(83, 231)(84, 232)(85, 189)(86, 197)(87, 190)(88, 191)(89, 192)(90, 198)(91, 193)(92, 194)(93, 199)(94, 200)(95, 201)(96, 209)(97, 202)(98, 203)(99, 204)(100, 210)(101, 205)(102, 206)(103, 211)(104, 212)(105, 246)(106, 250)(107, 251)(108, 249)(109, 242)(110, 252)(111, 253)(112, 245)(113, 243)(114, 237)(115, 241)(116, 254)(117, 240)(118, 233)(119, 255)(120, 256)(121, 236)(122, 234)(123, 235)(124, 238)(125, 239)(126, 244)(127, 247)(128, 248)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2759
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2761 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T2^-1 * T1 * T2^-2 * T1^-2 * T2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, (T2^-1 * T1)^4, (T2^3 * T1^-1)^2, T1^8, T2 * T1^-1 * T2^-6 * T1 * T2 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 26, 154, 63, 191, 86, 214, 49, 177, 32, 160, 54, 182, 21, 149, 53, 181, 88, 216, 73, 201, 39, 167, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 48, 176, 87, 215, 61, 189, 25, 153, 11, 139, 28, 156, 45, 173, 38, 166, 72, 200, 90, 218, 56, 184, 22, 150, 8, 136)(4, 132, 12, 140, 31, 159, 67, 195, 97, 225, 62, 190, 27, 155, 52, 180, 37, 165, 14, 142, 36, 164, 71, 199, 96, 224, 60, 188, 24, 152, 9, 137)(6, 134, 17, 145, 43, 171, 80, 208, 110, 238, 85, 213, 47, 175, 20, 148, 50, 178, 29, 157, 55, 183, 89, 217, 112, 240, 84, 212, 46, 174, 18, 146)(13, 141, 33, 161, 64, 192, 95, 223, 116, 244, 100, 228, 68, 196, 35, 163, 59, 187, 23, 151, 58, 186, 93, 221, 115, 243, 99, 227, 66, 194, 30, 158)(16, 144, 41, 169, 76, 204, 105, 233, 122, 250, 109, 237, 79, 207, 44, 172, 81, 209, 51, 179, 83, 211, 111, 239, 124, 252, 108, 236, 78, 206, 42, 170)(34, 162, 70, 198, 101, 229, 118, 246, 125, 253, 113, 241, 92, 220, 57, 185, 91, 219, 65, 193, 98, 226, 117, 245, 126, 254, 114, 242, 94, 222, 69, 197)(40, 168, 74, 202, 102, 230, 119, 247, 127, 255, 121, 249, 104, 232, 77, 205, 106, 234, 82, 210, 107, 235, 123, 251, 128, 256, 120, 248, 103, 231, 75, 203)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 151)(10, 153)(11, 131)(12, 158)(13, 132)(14, 163)(15, 166)(16, 168)(17, 136)(18, 173)(19, 175)(20, 135)(21, 180)(22, 183)(23, 185)(24, 181)(25, 171)(26, 190)(27, 138)(28, 178)(29, 139)(30, 193)(31, 177)(32, 140)(33, 197)(34, 141)(35, 198)(36, 143)(37, 182)(38, 174)(39, 195)(40, 162)(41, 146)(42, 157)(43, 207)(44, 145)(45, 160)(46, 211)(47, 204)(48, 214)(49, 147)(50, 209)(51, 148)(52, 161)(53, 150)(54, 156)(55, 206)(56, 154)(57, 202)(58, 152)(59, 165)(60, 223)(61, 216)(62, 221)(63, 218)(64, 155)(65, 205)(66, 164)(67, 228)(68, 159)(69, 210)(70, 203)(71, 227)(72, 167)(73, 215)(74, 170)(75, 179)(76, 232)(77, 169)(78, 235)(79, 230)(80, 189)(81, 234)(82, 172)(83, 231)(84, 176)(85, 200)(86, 199)(87, 240)(88, 188)(89, 184)(90, 238)(91, 187)(92, 192)(93, 242)(94, 186)(95, 241)(96, 191)(97, 201)(98, 194)(99, 246)(100, 245)(101, 196)(102, 220)(103, 226)(104, 229)(105, 213)(106, 219)(107, 222)(108, 208)(109, 217)(110, 252)(111, 212)(112, 250)(113, 251)(114, 247)(115, 225)(116, 224)(117, 248)(118, 249)(119, 237)(120, 233)(121, 239)(122, 256)(123, 236)(124, 255)(125, 243)(126, 244)(127, 254)(128, 253)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2757
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2762 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-5, (T1^-3 * T2 * T1^-1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 53, 181)(27, 155, 56, 184)(30, 158, 61, 189)(31, 159, 63, 191)(33, 161, 64, 192)(34, 162, 65, 193)(35, 163, 67, 195)(36, 164, 68, 196)(38, 166, 71, 199)(39, 167, 47, 175)(42, 170, 70, 198)(43, 171, 66, 194)(44, 172, 69, 197)(46, 174, 54, 182)(49, 177, 74, 202)(50, 178, 75, 203)(51, 179, 76, 204)(55, 183, 79, 207)(57, 185, 80, 208)(58, 186, 81, 209)(59, 187, 82, 210)(60, 188, 83, 211)(62, 190, 84, 212)(72, 200, 93, 221)(73, 201, 94, 222)(77, 205, 96, 224)(78, 206, 97, 225)(85, 213, 105, 233)(86, 214, 106, 234)(87, 215, 107, 235)(88, 216, 108, 236)(89, 217, 109, 237)(90, 218, 110, 238)(91, 219, 111, 239)(92, 220, 112, 240)(95, 223, 115, 243)(98, 226, 118, 246)(99, 227, 119, 247)(100, 228, 120, 248)(101, 229, 121, 249)(102, 230, 122, 250)(103, 231, 123, 251)(104, 232, 124, 252)(113, 241, 125, 253)(114, 242, 126, 254)(116, 244, 127, 255)(117, 245, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 175)(24, 177)(25, 179)(26, 140)(27, 183)(28, 185)(29, 187)(30, 142)(31, 182)(32, 184)(33, 180)(34, 144)(35, 181)(36, 145)(37, 189)(38, 146)(39, 190)(40, 186)(41, 188)(42, 148)(43, 176)(44, 149)(45, 178)(46, 150)(47, 160)(48, 166)(49, 170)(50, 152)(51, 172)(52, 205)(53, 206)(54, 154)(55, 173)(56, 204)(57, 202)(58, 156)(59, 203)(60, 157)(61, 174)(62, 158)(63, 213)(64, 215)(65, 217)(66, 162)(67, 216)(68, 218)(69, 164)(70, 165)(71, 214)(72, 168)(73, 169)(74, 223)(75, 200)(76, 198)(77, 199)(78, 194)(79, 201)(80, 227)(81, 229)(82, 228)(83, 230)(84, 226)(85, 197)(86, 191)(87, 233)(88, 192)(89, 234)(90, 193)(91, 195)(92, 196)(93, 241)(94, 242)(95, 212)(96, 220)(97, 244)(98, 207)(99, 222)(100, 208)(101, 246)(102, 209)(103, 210)(104, 211)(105, 245)(106, 219)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 243)(114, 221)(115, 232)(116, 224)(117, 225)(118, 231)(119, 240)(120, 255)(121, 235)(122, 236)(123, 256)(124, 239)(125, 237)(126, 238)(127, 253)(128, 254)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2758
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (R * Y2^-2 * Y1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, (Y2^-3 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 50, 178)(34, 162, 58, 186)(35, 163, 47, 175)(36, 164, 55, 183)(38, 166, 53, 181)(40, 168, 51, 179)(42, 170, 59, 187)(43, 171, 49, 177)(44, 172, 57, 185)(61, 189, 85, 213)(62, 190, 87, 215)(63, 191, 88, 216)(64, 192, 89, 217)(65, 193, 91, 219)(66, 194, 92, 220)(67, 195, 79, 207)(68, 196, 80, 208)(69, 197, 86, 214)(70, 198, 90, 218)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 97, 225)(75, 203, 98, 226)(76, 204, 99, 227)(77, 205, 101, 229)(78, 206, 102, 230)(81, 209, 96, 224)(82, 210, 100, 228)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 118, 246)(106, 234, 122, 250)(107, 235, 123, 251)(108, 236, 121, 249)(109, 237, 114, 242)(110, 238, 124, 252)(111, 239, 125, 253)(112, 240, 117, 245)(113, 241, 115, 243)(116, 244, 126, 254)(119, 247, 127, 255)(120, 248, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 301, 429, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 325, 453, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 331, 459, 316, 444, 334, 462, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 338, 466, 308, 436, 337, 465, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 324, 452, 292, 420)(281, 409, 306, 434, 335, 463, 315, 443, 285, 413, 314, 442, 336, 464, 307, 435)(287, 415, 317, 445, 342, 470, 363, 491, 348, 476, 327, 455, 295, 423, 318, 446)(289, 417, 320, 448, 346, 474, 366, 494, 344, 472, 328, 456, 297, 425, 321, 449)(302, 430, 329, 457, 352, 480, 372, 500, 358, 486, 339, 467, 310, 438, 330, 458)(304, 432, 332, 460, 356, 484, 375, 503, 354, 482, 340, 468, 312, 440, 333, 461)(341, 469, 361, 489, 350, 478, 369, 497, 349, 477, 367, 495, 345, 473, 362, 490)(343, 471, 364, 492, 380, 508, 384, 512, 379, 507, 368, 496, 347, 475, 365, 493)(351, 479, 370, 498, 360, 488, 378, 506, 359, 487, 376, 504, 355, 483, 371, 499)(353, 481, 373, 501, 383, 511, 381, 509, 382, 510, 377, 505, 357, 485, 374, 502)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 306)(33, 272)(34, 314)(35, 303)(36, 311)(37, 274)(38, 309)(39, 275)(40, 307)(41, 276)(42, 315)(43, 305)(44, 313)(45, 278)(46, 279)(47, 291)(48, 280)(49, 299)(50, 288)(51, 296)(52, 282)(53, 294)(54, 283)(55, 292)(56, 284)(57, 300)(58, 290)(59, 298)(60, 286)(61, 341)(62, 343)(63, 344)(64, 345)(65, 347)(66, 348)(67, 335)(68, 336)(69, 342)(70, 346)(71, 349)(72, 350)(73, 351)(74, 353)(75, 354)(76, 355)(77, 357)(78, 358)(79, 323)(80, 324)(81, 352)(82, 356)(83, 359)(84, 360)(85, 317)(86, 325)(87, 318)(88, 319)(89, 320)(90, 326)(91, 321)(92, 322)(93, 327)(94, 328)(95, 329)(96, 337)(97, 330)(98, 331)(99, 332)(100, 338)(101, 333)(102, 334)(103, 339)(104, 340)(105, 374)(106, 378)(107, 379)(108, 377)(109, 370)(110, 380)(111, 381)(112, 373)(113, 371)(114, 365)(115, 369)(116, 382)(117, 368)(118, 361)(119, 383)(120, 384)(121, 364)(122, 362)(123, 363)(124, 366)(125, 367)(126, 372)(127, 375)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2766
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1^2 * Y2^2 * Y1^-1, (Y1^-2 * Y2 * Y1^-1)^2, (Y2^-1 * Y1)^4, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y1^8, Y2^2 * Y1^-1 * Y2^-6 * Y1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 74, 202, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 70, 198, 75, 203, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 69, 197, 82, 210, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 79, 207, 102, 230, 92, 220, 64, 192, 27, 155)(12, 140, 30, 158, 65, 193, 77, 205, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 46, 174, 83, 211, 103, 231, 98, 226, 66, 194, 36, 164)(19, 147, 47, 175, 76, 204, 104, 232, 101, 229, 68, 196, 31, 159, 49, 177)(22, 150, 55, 183, 78, 206, 107, 235, 94, 222, 58, 186, 24, 152, 53, 181)(26, 154, 62, 190, 93, 221, 114, 242, 119, 247, 109, 237, 89, 217, 56, 184)(28, 156, 50, 178, 81, 209, 106, 234, 91, 219, 59, 187, 37, 165, 54, 182)(39, 167, 67, 195, 100, 228, 117, 245, 120, 248, 105, 233, 85, 213, 72, 200)(48, 176, 86, 214, 71, 199, 99, 227, 118, 246, 121, 249, 111, 239, 84, 212)(60, 188, 95, 223, 113, 241, 123, 251, 108, 236, 80, 208, 61, 189, 88, 216)(63, 191, 90, 218, 110, 238, 124, 252, 127, 255, 126, 254, 116, 244, 96, 224)(73, 201, 87, 215, 112, 240, 122, 250, 128, 256, 125, 253, 115, 243, 97, 225)(257, 385, 259, 387, 266, 394, 282, 410, 319, 447, 342, 470, 305, 433, 288, 416, 310, 438, 277, 405, 309, 437, 344, 472, 329, 457, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 343, 471, 317, 445, 281, 409, 267, 395, 284, 412, 301, 429, 294, 422, 328, 456, 346, 474, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 323, 451, 353, 481, 318, 446, 283, 411, 308, 436, 293, 421, 270, 398, 292, 420, 327, 455, 352, 480, 316, 444, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 336, 464, 366, 494, 341, 469, 303, 431, 276, 404, 306, 434, 285, 413, 311, 439, 345, 473, 368, 496, 340, 468, 302, 430, 274, 402)(269, 397, 289, 417, 320, 448, 351, 479, 372, 500, 356, 484, 324, 452, 291, 419, 315, 443, 279, 407, 314, 442, 349, 477, 371, 499, 355, 483, 322, 450, 286, 414)(272, 400, 297, 425, 332, 460, 361, 489, 378, 506, 365, 493, 335, 463, 300, 428, 337, 465, 307, 435, 339, 467, 367, 495, 380, 508, 364, 492, 334, 462, 298, 426)(290, 418, 326, 454, 357, 485, 374, 502, 381, 509, 369, 497, 348, 476, 313, 441, 347, 475, 321, 449, 354, 482, 373, 501, 382, 510, 370, 498, 350, 478, 325, 453)(296, 424, 330, 458, 358, 486, 375, 503, 383, 511, 377, 505, 360, 488, 333, 461, 362, 490, 338, 466, 363, 491, 379, 507, 384, 512, 376, 504, 359, 487, 331, 459)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 319)(27, 308)(28, 301)(29, 311)(30, 269)(31, 323)(32, 310)(33, 320)(34, 326)(35, 315)(36, 327)(37, 270)(38, 328)(39, 271)(40, 330)(41, 332)(42, 272)(43, 336)(44, 337)(45, 294)(46, 274)(47, 276)(48, 343)(49, 288)(50, 285)(51, 339)(52, 293)(53, 344)(54, 277)(55, 345)(56, 278)(57, 347)(58, 349)(59, 279)(60, 280)(61, 281)(62, 283)(63, 342)(64, 351)(65, 354)(66, 286)(67, 353)(68, 291)(69, 290)(70, 357)(71, 352)(72, 346)(73, 295)(74, 358)(75, 296)(76, 361)(77, 362)(78, 298)(79, 300)(80, 366)(81, 307)(82, 363)(83, 367)(84, 302)(85, 303)(86, 305)(87, 317)(88, 329)(89, 368)(90, 312)(91, 321)(92, 313)(93, 371)(94, 325)(95, 372)(96, 316)(97, 318)(98, 373)(99, 322)(100, 324)(101, 374)(102, 375)(103, 331)(104, 333)(105, 378)(106, 338)(107, 379)(108, 334)(109, 335)(110, 341)(111, 380)(112, 340)(113, 348)(114, 350)(115, 355)(116, 356)(117, 382)(118, 381)(119, 383)(120, 359)(121, 360)(122, 365)(123, 384)(124, 364)(125, 369)(126, 370)(127, 377)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2765
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-5 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3^-3)^2, (Y3 * Y2)^8, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 303, 431)(280, 408, 305, 433)(282, 410, 309, 437)(283, 411, 311, 439)(284, 412, 313, 441)(286, 414, 317, 445)(288, 416, 307, 435)(290, 418, 315, 443)(291, 419, 304, 432)(292, 420, 312, 440)(294, 422, 318, 446)(296, 424, 308, 436)(298, 426, 316, 444)(299, 427, 306, 434)(300, 428, 314, 442)(302, 430, 310, 438)(319, 447, 341, 469)(320, 448, 343, 471)(321, 449, 344, 472)(322, 450, 345, 473)(323, 451, 347, 475)(324, 452, 348, 476)(325, 453, 336, 464)(326, 454, 342, 470)(327, 455, 346, 474)(328, 456, 349, 477)(329, 457, 350, 478)(330, 458, 351, 479)(331, 459, 353, 481)(332, 460, 354, 482)(333, 461, 355, 483)(334, 462, 357, 485)(335, 463, 358, 486)(337, 465, 352, 480)(338, 466, 356, 484)(339, 467, 359, 487)(340, 468, 360, 488)(361, 489, 371, 499)(362, 490, 374, 502)(363, 491, 381, 509)(364, 492, 372, 500)(365, 493, 375, 503)(366, 494, 382, 510)(367, 495, 379, 507)(368, 496, 380, 508)(369, 497, 377, 505)(370, 498, 378, 506)(373, 501, 383, 511)(376, 504, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 304)(24, 267)(25, 307)(26, 310)(27, 312)(28, 269)(29, 315)(30, 270)(31, 319)(32, 321)(33, 322)(34, 272)(35, 325)(36, 273)(37, 326)(38, 308)(39, 320)(40, 324)(41, 323)(42, 276)(43, 318)(44, 277)(45, 327)(46, 278)(47, 330)(48, 332)(49, 333)(50, 280)(51, 336)(52, 281)(53, 337)(54, 292)(55, 331)(56, 335)(57, 334)(58, 284)(59, 302)(60, 285)(61, 338)(62, 286)(63, 342)(64, 287)(65, 301)(66, 346)(67, 289)(68, 290)(69, 300)(70, 298)(71, 293)(72, 295)(73, 297)(74, 352)(75, 303)(76, 317)(77, 356)(78, 305)(79, 306)(80, 316)(81, 314)(82, 309)(83, 311)(84, 313)(85, 361)(86, 363)(87, 364)(88, 329)(89, 362)(90, 328)(91, 365)(92, 366)(93, 369)(94, 370)(95, 371)(96, 373)(97, 374)(98, 340)(99, 372)(100, 339)(101, 375)(102, 376)(103, 379)(104, 380)(105, 350)(106, 341)(107, 348)(108, 382)(109, 343)(110, 344)(111, 345)(112, 347)(113, 381)(114, 349)(115, 360)(116, 351)(117, 358)(118, 384)(119, 353)(120, 354)(121, 355)(122, 357)(123, 383)(124, 359)(125, 368)(126, 367)(127, 378)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2764
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|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 * Y3 * Y1^-6, Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 47, 175, 32, 160, 56, 184, 76, 204, 70, 198, 37, 165, 61, 189, 46, 174, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 54, 182, 26, 154, 12, 140, 25, 153, 51, 179, 44, 172, 21, 149, 43, 171, 48, 176, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 55, 183, 45, 173, 50, 178, 24, 152, 49, 177, 42, 170, 20, 148, 9, 137, 19, 147, 39, 167, 62, 190, 30, 158, 14, 142)(16, 144, 33, 161, 52, 180, 77, 205, 71, 199, 86, 214, 63, 191, 85, 213, 69, 197, 36, 164, 17, 145, 35, 163, 53, 181, 78, 206, 66, 194, 34, 162)(28, 156, 57, 185, 74, 202, 95, 223, 84, 212, 98, 226, 79, 207, 73, 201, 41, 169, 60, 188, 29, 157, 59, 187, 75, 203, 72, 200, 40, 168, 58, 186)(64, 192, 87, 215, 105, 233, 117, 245, 97, 225, 116, 244, 96, 224, 92, 220, 68, 196, 90, 218, 65, 193, 89, 217, 106, 234, 91, 219, 67, 195, 88, 216)(80, 208, 99, 227, 94, 222, 114, 242, 93, 221, 113, 241, 115, 243, 104, 232, 83, 211, 102, 230, 81, 209, 101, 229, 118, 246, 103, 231, 82, 210, 100, 228)(107, 235, 119, 247, 112, 240, 124, 252, 111, 239, 123, 251, 128, 256, 126, 254, 110, 238, 122, 250, 108, 236, 120, 248, 127, 255, 125, 253, 109, 237, 121, 249)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 304)(24, 267)(25, 308)(26, 309)(27, 312)(28, 269)(29, 270)(30, 317)(31, 319)(32, 271)(33, 320)(34, 321)(35, 323)(36, 324)(37, 274)(38, 327)(39, 303)(40, 275)(41, 276)(42, 326)(43, 322)(44, 325)(45, 278)(46, 310)(47, 295)(48, 279)(49, 330)(50, 331)(51, 332)(52, 281)(53, 282)(54, 302)(55, 335)(56, 283)(57, 336)(58, 337)(59, 338)(60, 339)(61, 286)(62, 340)(63, 287)(64, 289)(65, 290)(66, 299)(67, 291)(68, 292)(69, 300)(70, 298)(71, 294)(72, 349)(73, 350)(74, 305)(75, 306)(76, 307)(77, 352)(78, 353)(79, 311)(80, 313)(81, 314)(82, 315)(83, 316)(84, 318)(85, 361)(86, 362)(87, 363)(88, 364)(89, 365)(90, 366)(91, 367)(92, 368)(93, 328)(94, 329)(95, 371)(96, 333)(97, 334)(98, 374)(99, 375)(100, 376)(101, 377)(102, 378)(103, 379)(104, 380)(105, 341)(106, 342)(107, 343)(108, 344)(109, 345)(110, 346)(111, 347)(112, 348)(113, 381)(114, 382)(115, 351)(116, 383)(117, 384)(118, 354)(119, 355)(120, 356)(121, 357)(122, 358)(123, 359)(124, 360)(125, 369)(126, 370)(127, 372)(128, 373)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2763
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^6 * Y1 * Y2^-1, Y2^-1 * R * Y2^4 * R * Y2^-3, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 47, 175)(24, 152, 49, 177)(26, 154, 53, 181)(27, 155, 55, 183)(28, 156, 57, 185)(30, 158, 61, 189)(32, 160, 51, 179)(34, 162, 59, 187)(35, 163, 48, 176)(36, 164, 56, 184)(38, 166, 62, 190)(40, 168, 52, 180)(42, 170, 60, 188)(43, 171, 50, 178)(44, 172, 58, 186)(46, 174, 54, 182)(63, 191, 85, 213)(64, 192, 87, 215)(65, 193, 88, 216)(66, 194, 89, 217)(67, 195, 91, 219)(68, 196, 92, 220)(69, 197, 80, 208)(70, 198, 86, 214)(71, 199, 90, 218)(72, 200, 93, 221)(73, 201, 94, 222)(74, 202, 95, 223)(75, 203, 97, 225)(76, 204, 98, 226)(77, 205, 99, 227)(78, 206, 101, 229)(79, 207, 102, 230)(81, 209, 96, 224)(82, 210, 100, 228)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 115, 243)(106, 234, 118, 246)(107, 235, 125, 253)(108, 236, 116, 244)(109, 237, 119, 247)(110, 238, 126, 254)(111, 239, 123, 251)(112, 240, 124, 252)(113, 241, 121, 249)(114, 242, 122, 250)(117, 245, 127, 255)(120, 248, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 308, 436, 281, 409, 307, 435, 336, 464, 316, 444, 285, 413, 315, 443, 302, 430, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 310, 438, 292, 420, 273, 401, 291, 419, 325, 453, 300, 428, 277, 405, 299, 427, 318, 446, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 321, 449, 301, 429, 327, 455, 293, 421, 326, 454, 298, 426, 276, 404, 265, 393, 275, 403, 296, 424, 324, 452, 290, 418, 272, 400)(267, 395, 279, 407, 304, 432, 332, 460, 317, 445, 338, 466, 309, 437, 337, 465, 314, 442, 284, 412, 269, 397, 283, 411, 312, 440, 335, 463, 306, 434, 280, 408)(287, 415, 319, 447, 342, 470, 363, 491, 348, 476, 366, 494, 344, 472, 329, 457, 297, 425, 323, 451, 289, 417, 322, 450, 346, 474, 328, 456, 295, 423, 320, 448)(303, 431, 330, 458, 352, 480, 373, 501, 358, 486, 376, 504, 354, 482, 340, 468, 313, 441, 334, 462, 305, 433, 333, 461, 356, 484, 339, 467, 311, 439, 331, 459)(341, 469, 361, 489, 350, 478, 370, 498, 349, 477, 369, 497, 381, 509, 368, 496, 347, 475, 365, 493, 343, 471, 364, 492, 382, 510, 367, 495, 345, 473, 362, 490)(351, 479, 371, 499, 360, 488, 380, 508, 359, 487, 379, 507, 383, 511, 378, 506, 357, 485, 375, 503, 353, 481, 374, 502, 384, 512, 377, 505, 355, 483, 372, 500)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 303)(24, 305)(25, 268)(26, 309)(27, 311)(28, 313)(29, 270)(30, 317)(31, 271)(32, 307)(33, 272)(34, 315)(35, 304)(36, 312)(37, 274)(38, 318)(39, 275)(40, 308)(41, 276)(42, 316)(43, 306)(44, 314)(45, 278)(46, 310)(47, 279)(48, 291)(49, 280)(50, 299)(51, 288)(52, 296)(53, 282)(54, 302)(55, 283)(56, 292)(57, 284)(58, 300)(59, 290)(60, 298)(61, 286)(62, 294)(63, 341)(64, 343)(65, 344)(66, 345)(67, 347)(68, 348)(69, 336)(70, 342)(71, 346)(72, 349)(73, 350)(74, 351)(75, 353)(76, 354)(77, 355)(78, 357)(79, 358)(80, 325)(81, 352)(82, 356)(83, 359)(84, 360)(85, 319)(86, 326)(87, 320)(88, 321)(89, 322)(90, 327)(91, 323)(92, 324)(93, 328)(94, 329)(95, 330)(96, 337)(97, 331)(98, 332)(99, 333)(100, 338)(101, 334)(102, 335)(103, 339)(104, 340)(105, 371)(106, 374)(107, 381)(108, 372)(109, 375)(110, 382)(111, 379)(112, 380)(113, 377)(114, 378)(115, 361)(116, 364)(117, 383)(118, 362)(119, 365)(120, 384)(121, 369)(122, 370)(123, 367)(124, 368)(125, 363)(126, 366)(127, 373)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2768
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 92>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-1, (Y3^-1 * Y1)^4, Y1^8, Y3 * Y1^-1 * Y3^-6 * Y1 * Y3, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 74, 202, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 70, 198, 75, 203, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 69, 197, 82, 210, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 79, 207, 102, 230, 92, 220, 64, 192, 27, 155)(12, 140, 30, 158, 65, 193, 77, 205, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 46, 174, 83, 211, 103, 231, 98, 226, 66, 194, 36, 164)(19, 147, 47, 175, 76, 204, 104, 232, 101, 229, 68, 196, 31, 159, 49, 177)(22, 150, 55, 183, 78, 206, 107, 235, 94, 222, 58, 186, 24, 152, 53, 181)(26, 154, 62, 190, 93, 221, 114, 242, 119, 247, 109, 237, 89, 217, 56, 184)(28, 156, 50, 178, 81, 209, 106, 234, 91, 219, 59, 187, 37, 165, 54, 182)(39, 167, 67, 195, 100, 228, 117, 245, 120, 248, 105, 233, 85, 213, 72, 200)(48, 176, 86, 214, 71, 199, 99, 227, 118, 246, 121, 249, 111, 239, 84, 212)(60, 188, 95, 223, 113, 241, 123, 251, 108, 236, 80, 208, 61, 189, 88, 216)(63, 191, 90, 218, 110, 238, 124, 252, 127, 255, 126, 254, 116, 244, 96, 224)(73, 201, 87, 215, 112, 240, 122, 250, 128, 256, 125, 253, 115, 243, 97, 225)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 319)(27, 308)(28, 301)(29, 311)(30, 269)(31, 323)(32, 310)(33, 320)(34, 326)(35, 315)(36, 327)(37, 270)(38, 328)(39, 271)(40, 330)(41, 332)(42, 272)(43, 336)(44, 337)(45, 294)(46, 274)(47, 276)(48, 343)(49, 288)(50, 285)(51, 339)(52, 293)(53, 344)(54, 277)(55, 345)(56, 278)(57, 347)(58, 349)(59, 279)(60, 280)(61, 281)(62, 283)(63, 342)(64, 351)(65, 354)(66, 286)(67, 353)(68, 291)(69, 290)(70, 357)(71, 352)(72, 346)(73, 295)(74, 358)(75, 296)(76, 361)(77, 362)(78, 298)(79, 300)(80, 366)(81, 307)(82, 363)(83, 367)(84, 302)(85, 303)(86, 305)(87, 317)(88, 329)(89, 368)(90, 312)(91, 321)(92, 313)(93, 371)(94, 325)(95, 372)(96, 316)(97, 318)(98, 373)(99, 322)(100, 324)(101, 374)(102, 375)(103, 331)(104, 333)(105, 378)(106, 338)(107, 379)(108, 334)(109, 335)(110, 341)(111, 380)(112, 340)(113, 348)(114, 350)(115, 355)(116, 356)(117, 382)(118, 381)(119, 383)(120, 359)(121, 360)(122, 365)(123, 384)(124, 364)(125, 369)(126, 370)(127, 377)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2767
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2769 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 85, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 97, 104, 88, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 101, 105, 87, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 90, 106, 117, 111, 98, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 89, 107, 116, 114, 102, 83, 62, 45, 30, 37)(41, 57, 42, 59, 77, 99, 112, 121, 124, 119, 108, 92, 70, 60, 43, 58)(52, 71, 53, 73, 63, 84, 103, 115, 123, 125, 118, 109, 91, 74, 54, 72)(78, 93, 79, 94, 81, 96, 110, 120, 126, 128, 127, 122, 113, 100, 80, 95)
	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, 104)(88, 106)(90, 108)(92, 110)(97, 111)(98, 112)(99, 113)(105, 116)(107, 118)(109, 120)(114, 123)(115, 122)(117, 124)(119, 126)(121, 127)(125, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2770
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2770 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^8, 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 ]
Map:: polytopal 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, 125, 122, 126, 124, 128, 123, 127)
	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)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2769
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2771 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, 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 ]
Map:: polytopal
	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, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 142)(138, 140)(143, 153)(144, 154)(145, 155)(146, 157)(147, 158)(148, 159)(149, 160)(150, 161)(151, 163)(152, 164)(156, 162)(165, 175)(166, 176)(167, 177)(168, 178)(169, 179)(170, 180)(171, 181)(172, 182)(173, 183)(174, 184)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(190, 198)(191, 199)(192, 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, 253)(250, 255)(251, 254)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2775
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2772 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^8, T2^16 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 52, 68, 84, 100, 88, 72, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 79, 95, 110, 96, 80, 64, 48, 32, 18, 8)(4, 11, 23, 39, 55, 71, 87, 103, 113, 99, 83, 67, 51, 35, 20, 9)(6, 15, 29, 45, 61, 77, 93, 108, 120, 109, 94, 78, 62, 46, 30, 16)(12, 19, 34, 50, 66, 82, 98, 112, 122, 115, 102, 86, 70, 54, 38, 22)(14, 27, 43, 59, 75, 91, 106, 118, 126, 119, 107, 92, 76, 60, 44, 28)(24, 37, 53, 69, 85, 101, 114, 123, 127, 121, 111, 97, 81, 65, 49, 33)(26, 41, 57, 73, 89, 104, 116, 124, 128, 125, 117, 105, 90, 74, 58, 42)(129, 130, 134, 142, 154, 152, 140, 132)(131, 137, 147, 161, 169, 156, 143, 136)(133, 139, 150, 165, 170, 155, 144, 135)(138, 146, 157, 172, 185, 177, 162, 148)(141, 145, 158, 171, 186, 181, 166, 151)(149, 163, 178, 193, 201, 188, 173, 160)(153, 167, 182, 197, 202, 187, 174, 159)(164, 176, 189, 204, 217, 209, 194, 179)(168, 175, 190, 203, 218, 213, 198, 183)(180, 195, 210, 225, 232, 220, 205, 192)(184, 199, 214, 229, 233, 219, 206, 191)(196, 208, 221, 235, 244, 239, 226, 211)(200, 207, 222, 234, 245, 242, 230, 215)(212, 227, 240, 249, 252, 247, 236, 224)(216, 231, 243, 251, 253, 246, 237, 223)(228, 238, 248, 254, 256, 255, 250, 241)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2776
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2773 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^16 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 102)(83, 103)(84, 100)(85, 101)(86, 104)(88, 106)(90, 108)(92, 110)(97, 111)(98, 112)(99, 113)(105, 116)(107, 118)(109, 120)(114, 123)(115, 122)(117, 124)(119, 126)(121, 127)(125, 128)(129, 130, 133, 139, 148, 160, 175, 193, 214, 213, 192, 174, 159, 147, 138, 132)(131, 135, 143, 153, 167, 183, 203, 225, 232, 216, 194, 177, 161, 150, 140, 136)(134, 141, 137, 146, 157, 172, 189, 210, 229, 233, 215, 195, 176, 162, 149, 142)(144, 154, 145, 156, 163, 179, 196, 218, 234, 245, 239, 226, 204, 184, 168, 155)(151, 164, 152, 166, 178, 197, 217, 235, 244, 242, 230, 211, 190, 173, 158, 165)(169, 185, 170, 187, 205, 227, 240, 249, 252, 247, 236, 220, 198, 188, 171, 186)(180, 199, 181, 201, 191, 212, 231, 243, 251, 253, 246, 237, 219, 202, 182, 200)(206, 221, 207, 222, 209, 224, 238, 248, 254, 256, 255, 250, 241, 228, 208, 223)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2774
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2774 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, 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 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 17, 145, 28, 156, 19, 147, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 22, 150, 34, 162, 24, 152, 14, 142, 6, 134)(7, 135, 15, 143, 9, 137, 18, 146, 30, 158, 40, 168, 27, 155, 16, 144)(11, 139, 20, 148, 13, 141, 23, 151, 36, 164, 45, 173, 33, 161, 21, 149)(25, 153, 37, 165, 26, 154, 39, 167, 50, 178, 41, 169, 29, 157, 38, 166)(31, 159, 42, 170, 32, 160, 44, 172, 55, 183, 46, 174, 35, 163, 43, 171)(47, 175, 57, 185, 48, 176, 59, 187, 51, 179, 60, 188, 49, 177, 58, 186)(52, 180, 61, 189, 53, 181, 63, 191, 56, 184, 64, 192, 54, 182, 62, 190)(65, 193, 73, 201, 66, 194, 75, 203, 68, 196, 76, 204, 67, 195, 74, 202)(69, 197, 77, 205, 70, 198, 79, 207, 72, 200, 80, 208, 71, 199, 78, 206)(81, 209, 89, 217, 82, 210, 91, 219, 84, 212, 92, 220, 83, 211, 90, 218)(85, 213, 93, 221, 86, 214, 95, 223, 88, 216, 96, 224, 87, 215, 94, 222)(97, 225, 105, 233, 98, 226, 107, 235, 100, 228, 108, 236, 99, 227, 106, 234)(101, 229, 109, 237, 102, 230, 111, 239, 104, 232, 112, 240, 103, 231, 110, 238)(113, 241, 121, 249, 114, 242, 123, 251, 116, 244, 124, 252, 115, 243, 122, 250)(117, 245, 125, 253, 118, 246, 127, 255, 120, 248, 128, 256, 119, 247, 126, 254)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 142)(9, 132)(10, 140)(11, 133)(12, 138)(13, 134)(14, 136)(15, 153)(16, 154)(17, 155)(18, 157)(19, 158)(20, 159)(21, 160)(22, 161)(23, 163)(24, 164)(25, 143)(26, 144)(27, 145)(28, 162)(29, 146)(30, 147)(31, 148)(32, 149)(33, 150)(34, 156)(35, 151)(36, 152)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 180)(43, 181)(44, 182)(45, 183)(46, 184)(47, 165)(48, 166)(49, 167)(50, 168)(51, 169)(52, 170)(53, 171)(54, 172)(55, 173)(56, 174)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(121, 253)(122, 255)(123, 254)(124, 256)(125, 249)(126, 251)(127, 250)(128, 252)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2773
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2775 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^8, T2^16 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 21, 149, 36, 164, 52, 180, 68, 196, 84, 212, 100, 228, 88, 216, 72, 200, 56, 184, 40, 168, 25, 153, 13, 141, 5, 133)(2, 130, 7, 135, 17, 145, 31, 159, 47, 175, 63, 191, 79, 207, 95, 223, 110, 238, 96, 224, 80, 208, 64, 192, 48, 176, 32, 160, 18, 146, 8, 136)(4, 132, 11, 139, 23, 151, 39, 167, 55, 183, 71, 199, 87, 215, 103, 231, 113, 241, 99, 227, 83, 211, 67, 195, 51, 179, 35, 163, 20, 148, 9, 137)(6, 134, 15, 143, 29, 157, 45, 173, 61, 189, 77, 205, 93, 221, 108, 236, 120, 248, 109, 237, 94, 222, 78, 206, 62, 190, 46, 174, 30, 158, 16, 144)(12, 140, 19, 147, 34, 162, 50, 178, 66, 194, 82, 210, 98, 226, 112, 240, 122, 250, 115, 243, 102, 230, 86, 214, 70, 198, 54, 182, 38, 166, 22, 150)(14, 142, 27, 155, 43, 171, 59, 187, 75, 203, 91, 219, 106, 234, 118, 246, 126, 254, 119, 247, 107, 235, 92, 220, 76, 204, 60, 188, 44, 172, 28, 156)(24, 152, 37, 165, 53, 181, 69, 197, 85, 213, 101, 229, 114, 242, 123, 251, 127, 255, 121, 249, 111, 239, 97, 225, 81, 209, 65, 193, 49, 177, 33, 161)(26, 154, 41, 169, 57, 185, 73, 201, 89, 217, 104, 232, 116, 244, 124, 252, 128, 256, 125, 253, 117, 245, 105, 233, 90, 218, 74, 202, 58, 186, 42, 170)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 139)(6, 142)(7, 133)(8, 131)(9, 147)(10, 146)(11, 150)(12, 132)(13, 145)(14, 154)(15, 136)(16, 135)(17, 158)(18, 157)(19, 161)(20, 138)(21, 163)(22, 165)(23, 141)(24, 140)(25, 167)(26, 152)(27, 144)(28, 143)(29, 172)(30, 171)(31, 153)(32, 149)(33, 169)(34, 148)(35, 178)(36, 176)(37, 170)(38, 151)(39, 182)(40, 175)(41, 156)(42, 155)(43, 186)(44, 185)(45, 160)(46, 159)(47, 190)(48, 189)(49, 162)(50, 193)(51, 164)(52, 195)(53, 166)(54, 197)(55, 168)(56, 199)(57, 177)(58, 181)(59, 174)(60, 173)(61, 204)(62, 203)(63, 184)(64, 180)(65, 201)(66, 179)(67, 210)(68, 208)(69, 202)(70, 183)(71, 214)(72, 207)(73, 188)(74, 187)(75, 218)(76, 217)(77, 192)(78, 191)(79, 222)(80, 221)(81, 194)(82, 225)(83, 196)(84, 227)(85, 198)(86, 229)(87, 200)(88, 231)(89, 209)(90, 213)(91, 206)(92, 205)(93, 235)(94, 234)(95, 216)(96, 212)(97, 232)(98, 211)(99, 240)(100, 238)(101, 233)(102, 215)(103, 243)(104, 220)(105, 219)(106, 245)(107, 244)(108, 224)(109, 223)(110, 248)(111, 226)(112, 249)(113, 228)(114, 230)(115, 251)(116, 239)(117, 242)(118, 237)(119, 236)(120, 254)(121, 252)(122, 241)(123, 253)(124, 247)(125, 246)(126, 256)(127, 250)(128, 255)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2771
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2776 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 15, 143)(11, 139, 21, 149)(13, 141, 23, 151)(14, 142, 24, 152)(18, 146, 30, 158)(19, 147, 29, 157)(20, 148, 33, 161)(22, 150, 35, 163)(25, 153, 40, 168)(26, 154, 41, 169)(27, 155, 42, 170)(28, 156, 43, 171)(31, 159, 39, 167)(32, 160, 48, 176)(34, 162, 50, 178)(36, 164, 52, 180)(37, 165, 53, 181)(38, 166, 54, 182)(44, 172, 62, 190)(45, 173, 63, 191)(46, 174, 61, 189)(47, 175, 66, 194)(49, 177, 68, 196)(51, 179, 70, 198)(55, 183, 76, 204)(56, 184, 77, 205)(57, 185, 78, 206)(58, 186, 79, 207)(59, 187, 80, 208)(60, 188, 81, 209)(64, 192, 75, 203)(65, 193, 87, 215)(67, 195, 89, 217)(69, 197, 91, 219)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 96, 224)(82, 210, 102, 230)(83, 211, 103, 231)(84, 212, 100, 228)(85, 213, 101, 229)(86, 214, 104, 232)(88, 216, 106, 234)(90, 218, 108, 236)(92, 220, 110, 238)(97, 225, 111, 239)(98, 226, 112, 240)(99, 227, 113, 241)(105, 233, 116, 244)(107, 235, 118, 246)(109, 237, 120, 248)(114, 242, 123, 251)(115, 243, 122, 250)(117, 245, 124, 252)(119, 247, 126, 254)(121, 249, 127, 255)(125, 253, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 146)(10, 132)(11, 148)(12, 136)(13, 137)(14, 134)(15, 153)(16, 154)(17, 156)(18, 157)(19, 138)(20, 160)(21, 142)(22, 140)(23, 164)(24, 166)(25, 167)(26, 145)(27, 144)(28, 163)(29, 172)(30, 165)(31, 147)(32, 175)(33, 150)(34, 149)(35, 179)(36, 152)(37, 151)(38, 178)(39, 183)(40, 155)(41, 185)(42, 187)(43, 186)(44, 189)(45, 158)(46, 159)(47, 193)(48, 162)(49, 161)(50, 197)(51, 196)(52, 199)(53, 201)(54, 200)(55, 203)(56, 168)(57, 170)(58, 169)(59, 205)(60, 171)(61, 210)(62, 173)(63, 212)(64, 174)(65, 214)(66, 177)(67, 176)(68, 218)(69, 217)(70, 188)(71, 181)(72, 180)(73, 191)(74, 182)(75, 225)(76, 184)(77, 227)(78, 221)(79, 222)(80, 223)(81, 224)(82, 229)(83, 190)(84, 231)(85, 192)(86, 213)(87, 195)(88, 194)(89, 235)(90, 234)(91, 202)(92, 198)(93, 207)(94, 209)(95, 206)(96, 238)(97, 232)(98, 204)(99, 240)(100, 208)(101, 233)(102, 211)(103, 243)(104, 216)(105, 215)(106, 245)(107, 244)(108, 220)(109, 219)(110, 248)(111, 226)(112, 249)(113, 228)(114, 230)(115, 251)(116, 242)(117, 239)(118, 237)(119, 236)(120, 254)(121, 252)(122, 241)(123, 253)(124, 247)(125, 246)(126, 256)(127, 250)(128, 255)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2772
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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, Y2^8, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 14, 142)(10, 138, 12, 140)(15, 143, 25, 153)(16, 144, 26, 154)(17, 145, 27, 155)(18, 146, 29, 157)(19, 147, 30, 158)(20, 148, 31, 159)(21, 149, 32, 160)(22, 150, 33, 161)(23, 151, 35, 163)(24, 152, 36, 164)(28, 156, 34, 162)(37, 165, 47, 175)(38, 166, 48, 176)(39, 167, 49, 177)(40, 168, 50, 178)(41, 169, 51, 179)(42, 170, 52, 180)(43, 171, 53, 181)(44, 172, 54, 182)(45, 173, 55, 183)(46, 174, 56, 184)(57, 185, 65, 193)(58, 186, 66, 194)(59, 187, 67, 195)(60, 188, 68, 196)(61, 189, 69, 197)(62, 190, 70, 198)(63, 191, 71, 199)(64, 192, 72, 200)(73, 201, 81, 209)(74, 202, 82, 210)(75, 203, 83, 211)(76, 204, 84, 212)(77, 205, 85, 213)(78, 206, 86, 214)(79, 207, 87, 215)(80, 208, 88, 216)(89, 217, 97, 225)(90, 218, 98, 226)(91, 219, 99, 227)(92, 220, 100, 228)(93, 221, 101, 229)(94, 222, 102, 230)(95, 223, 103, 231)(96, 224, 104, 232)(105, 233, 113, 241)(106, 234, 114, 242)(107, 235, 115, 243)(108, 236, 116, 244)(109, 237, 117, 245)(110, 238, 118, 246)(111, 239, 119, 247)(112, 240, 120, 248)(121, 249, 125, 253)(122, 250, 127, 255)(123, 251, 126, 254)(124, 252, 128, 256)(257, 385, 259, 387, 264, 392, 273, 401, 284, 412, 275, 403, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 278, 406, 290, 418, 280, 408, 270, 398, 262, 390)(263, 391, 271, 399, 265, 393, 274, 402, 286, 414, 296, 424, 283, 411, 272, 400)(267, 395, 276, 404, 269, 397, 279, 407, 292, 420, 301, 429, 289, 417, 277, 405)(281, 409, 293, 421, 282, 410, 295, 423, 306, 434, 297, 425, 285, 413, 294, 422)(287, 415, 298, 426, 288, 416, 300, 428, 311, 439, 302, 430, 291, 419, 299, 427)(303, 431, 313, 441, 304, 432, 315, 443, 307, 435, 316, 444, 305, 433, 314, 442)(308, 436, 317, 445, 309, 437, 319, 447, 312, 440, 320, 448, 310, 438, 318, 446)(321, 449, 329, 457, 322, 450, 331, 459, 324, 452, 332, 460, 323, 451, 330, 458)(325, 453, 333, 461, 326, 454, 335, 463, 328, 456, 336, 464, 327, 455, 334, 462)(337, 465, 345, 473, 338, 466, 347, 475, 340, 468, 348, 476, 339, 467, 346, 474)(341, 469, 349, 477, 342, 470, 351, 479, 344, 472, 352, 480, 343, 471, 350, 478)(353, 481, 361, 489, 354, 482, 363, 491, 356, 484, 364, 492, 355, 483, 362, 490)(357, 485, 365, 493, 358, 486, 367, 495, 360, 488, 368, 496, 359, 487, 366, 494)(369, 497, 377, 505, 370, 498, 379, 507, 372, 500, 380, 508, 371, 499, 378, 506)(373, 501, 381, 509, 374, 502, 383, 511, 376, 504, 384, 512, 375, 503, 382, 510)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 270)(9, 260)(10, 268)(11, 261)(12, 266)(13, 262)(14, 264)(15, 281)(16, 282)(17, 283)(18, 285)(19, 286)(20, 287)(21, 288)(22, 289)(23, 291)(24, 292)(25, 271)(26, 272)(27, 273)(28, 290)(29, 274)(30, 275)(31, 276)(32, 277)(33, 278)(34, 284)(35, 279)(36, 280)(37, 303)(38, 304)(39, 305)(40, 306)(41, 307)(42, 308)(43, 309)(44, 310)(45, 311)(46, 312)(47, 293)(48, 294)(49, 295)(50, 296)(51, 297)(52, 298)(53, 299)(54, 300)(55, 301)(56, 302)(57, 321)(58, 322)(59, 323)(60, 324)(61, 325)(62, 326)(63, 327)(64, 328)(65, 313)(66, 314)(67, 315)(68, 316)(69, 317)(70, 318)(71, 319)(72, 320)(73, 337)(74, 338)(75, 339)(76, 340)(77, 341)(78, 342)(79, 343)(80, 344)(81, 329)(82, 330)(83, 331)(84, 332)(85, 333)(86, 334)(87, 335)(88, 336)(89, 353)(90, 354)(91, 355)(92, 356)(93, 357)(94, 358)(95, 359)(96, 360)(97, 345)(98, 346)(99, 347)(100, 348)(101, 349)(102, 350)(103, 351)(104, 352)(105, 369)(106, 370)(107, 371)(108, 372)(109, 373)(110, 374)(111, 375)(112, 376)(113, 361)(114, 362)(115, 363)(116, 364)(117, 365)(118, 366)(119, 367)(120, 368)(121, 381)(122, 383)(123, 382)(124, 384)(125, 377)(126, 379)(127, 378)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2780
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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, Y2^16 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 14, 142, 26, 154, 24, 152, 12, 140, 4, 132)(3, 131, 9, 137, 19, 147, 33, 161, 41, 169, 28, 156, 15, 143, 8, 136)(5, 133, 11, 139, 22, 150, 37, 165, 42, 170, 27, 155, 16, 144, 7, 135)(10, 138, 18, 146, 29, 157, 44, 172, 57, 185, 49, 177, 34, 162, 20, 148)(13, 141, 17, 145, 30, 158, 43, 171, 58, 186, 53, 181, 38, 166, 23, 151)(21, 149, 35, 163, 50, 178, 65, 193, 73, 201, 60, 188, 45, 173, 32, 160)(25, 153, 39, 167, 54, 182, 69, 197, 74, 202, 59, 187, 46, 174, 31, 159)(36, 164, 48, 176, 61, 189, 76, 204, 89, 217, 81, 209, 66, 194, 51, 179)(40, 168, 47, 175, 62, 190, 75, 203, 90, 218, 85, 213, 70, 198, 55, 183)(52, 180, 67, 195, 82, 210, 97, 225, 104, 232, 92, 220, 77, 205, 64, 192)(56, 184, 71, 199, 86, 214, 101, 229, 105, 233, 91, 219, 78, 206, 63, 191)(68, 196, 80, 208, 93, 221, 107, 235, 116, 244, 111, 239, 98, 226, 83, 211)(72, 200, 79, 207, 94, 222, 106, 234, 117, 245, 114, 242, 102, 230, 87, 215)(84, 212, 99, 227, 112, 240, 121, 249, 124, 252, 119, 247, 108, 236, 96, 224)(88, 216, 103, 231, 115, 243, 123, 251, 125, 253, 118, 246, 109, 237, 95, 223)(100, 228, 110, 238, 120, 248, 126, 254, 128, 256, 127, 255, 122, 250, 113, 241)(257, 385, 259, 387, 266, 394, 277, 405, 292, 420, 308, 436, 324, 452, 340, 468, 356, 484, 344, 472, 328, 456, 312, 440, 296, 424, 281, 409, 269, 397, 261, 389)(258, 386, 263, 391, 273, 401, 287, 415, 303, 431, 319, 447, 335, 463, 351, 479, 366, 494, 352, 480, 336, 464, 320, 448, 304, 432, 288, 416, 274, 402, 264, 392)(260, 388, 267, 395, 279, 407, 295, 423, 311, 439, 327, 455, 343, 471, 359, 487, 369, 497, 355, 483, 339, 467, 323, 451, 307, 435, 291, 419, 276, 404, 265, 393)(262, 390, 271, 399, 285, 413, 301, 429, 317, 445, 333, 461, 349, 477, 364, 492, 376, 504, 365, 493, 350, 478, 334, 462, 318, 446, 302, 430, 286, 414, 272, 400)(268, 396, 275, 403, 290, 418, 306, 434, 322, 450, 338, 466, 354, 482, 368, 496, 378, 506, 371, 499, 358, 486, 342, 470, 326, 454, 310, 438, 294, 422, 278, 406)(270, 398, 283, 411, 299, 427, 315, 443, 331, 459, 347, 475, 362, 490, 374, 502, 382, 510, 375, 503, 363, 491, 348, 476, 332, 460, 316, 444, 300, 428, 284, 412)(280, 408, 293, 421, 309, 437, 325, 453, 341, 469, 357, 485, 370, 498, 379, 507, 383, 511, 377, 505, 367, 495, 353, 481, 337, 465, 321, 449, 305, 433, 289, 417)(282, 410, 297, 425, 313, 441, 329, 457, 345, 473, 360, 488, 372, 500, 380, 508, 384, 512, 381, 509, 373, 501, 361, 489, 346, 474, 330, 458, 314, 442, 298, 426)
	L = (1, 259)(2, 263)(3, 266)(4, 267)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 277)(11, 279)(12, 275)(13, 261)(14, 283)(15, 285)(16, 262)(17, 287)(18, 264)(19, 290)(20, 265)(21, 292)(22, 268)(23, 295)(24, 293)(25, 269)(26, 297)(27, 299)(28, 270)(29, 301)(30, 272)(31, 303)(32, 274)(33, 280)(34, 306)(35, 276)(36, 308)(37, 309)(38, 278)(39, 311)(40, 281)(41, 313)(42, 282)(43, 315)(44, 284)(45, 317)(46, 286)(47, 319)(48, 288)(49, 289)(50, 322)(51, 291)(52, 324)(53, 325)(54, 294)(55, 327)(56, 296)(57, 329)(58, 298)(59, 331)(60, 300)(61, 333)(62, 302)(63, 335)(64, 304)(65, 305)(66, 338)(67, 307)(68, 340)(69, 341)(70, 310)(71, 343)(72, 312)(73, 345)(74, 314)(75, 347)(76, 316)(77, 349)(78, 318)(79, 351)(80, 320)(81, 321)(82, 354)(83, 323)(84, 356)(85, 357)(86, 326)(87, 359)(88, 328)(89, 360)(90, 330)(91, 362)(92, 332)(93, 364)(94, 334)(95, 366)(96, 336)(97, 337)(98, 368)(99, 339)(100, 344)(101, 370)(102, 342)(103, 369)(104, 372)(105, 346)(106, 374)(107, 348)(108, 376)(109, 350)(110, 352)(111, 353)(112, 378)(113, 355)(114, 379)(115, 358)(116, 380)(117, 361)(118, 382)(119, 363)(120, 365)(121, 367)(122, 371)(123, 383)(124, 384)(125, 373)(126, 375)(127, 377)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2779
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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, Y3^4 * Y2 * Y3^-12 * Y2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 270, 398)(266, 394, 268, 396)(271, 399, 281, 409)(272, 400, 282, 410)(273, 401, 283, 411)(274, 402, 285, 413)(275, 403, 286, 414)(276, 404, 288, 416)(277, 405, 289, 417)(278, 406, 290, 418)(279, 407, 292, 420)(280, 408, 293, 421)(284, 412, 294, 422)(287, 415, 291, 419)(295, 423, 311, 439)(296, 424, 312, 440)(297, 425, 313, 441)(298, 426, 314, 442)(299, 427, 315, 443)(300, 428, 317, 445)(301, 429, 318, 446)(302, 430, 319, 447)(303, 431, 321, 449)(304, 432, 322, 450)(305, 433, 323, 451)(306, 434, 324, 452)(307, 435, 325, 453)(308, 436, 327, 455)(309, 437, 328, 456)(310, 438, 329, 457)(316, 444, 330, 458)(320, 448, 326, 454)(331, 459, 342, 470)(332, 460, 344, 472)(333, 461, 343, 471)(334, 462, 349, 477)(335, 463, 353, 481)(336, 464, 354, 482)(337, 465, 355, 483)(338, 466, 345, 473)(339, 467, 357, 485)(340, 468, 358, 486)(341, 469, 359, 487)(346, 474, 360, 488)(347, 475, 361, 489)(348, 476, 362, 490)(350, 478, 364, 492)(351, 479, 365, 493)(352, 480, 366, 494)(356, 484, 363, 491)(367, 495, 375, 503)(368, 496, 377, 505)(369, 497, 378, 506)(370, 498, 372, 500)(371, 499, 379, 507)(373, 501, 380, 508)(374, 502, 381, 509)(376, 504, 382, 510)(383, 511, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 273)(9, 274)(10, 260)(11, 276)(12, 278)(13, 279)(14, 262)(15, 265)(16, 263)(17, 284)(18, 286)(19, 266)(20, 269)(21, 267)(22, 291)(23, 293)(24, 270)(25, 295)(26, 297)(27, 272)(28, 299)(29, 296)(30, 301)(31, 275)(32, 303)(33, 305)(34, 277)(35, 307)(36, 304)(37, 309)(38, 280)(39, 282)(40, 281)(41, 314)(42, 283)(43, 316)(44, 285)(45, 319)(46, 287)(47, 289)(48, 288)(49, 324)(50, 290)(51, 326)(52, 292)(53, 329)(54, 294)(55, 331)(56, 333)(57, 332)(58, 335)(59, 298)(60, 337)(61, 338)(62, 300)(63, 340)(64, 302)(65, 342)(66, 344)(67, 343)(68, 346)(69, 306)(70, 348)(71, 349)(72, 308)(73, 351)(74, 310)(75, 312)(76, 311)(77, 317)(78, 313)(79, 354)(80, 315)(81, 356)(82, 357)(83, 318)(84, 359)(85, 320)(86, 322)(87, 321)(88, 327)(89, 323)(90, 361)(91, 325)(92, 363)(93, 364)(94, 328)(95, 366)(96, 330)(97, 334)(98, 368)(99, 336)(100, 341)(101, 370)(102, 339)(103, 369)(104, 345)(105, 373)(106, 347)(107, 352)(108, 375)(109, 350)(110, 374)(111, 353)(112, 378)(113, 355)(114, 379)(115, 358)(116, 360)(117, 381)(118, 362)(119, 382)(120, 365)(121, 367)(122, 371)(123, 383)(124, 372)(125, 376)(126, 384)(127, 377)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2778
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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)^8, Y1^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 20, 148, 32, 160, 47, 175, 65, 193, 86, 214, 85, 213, 64, 192, 46, 174, 31, 159, 19, 147, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 25, 153, 39, 167, 55, 183, 75, 203, 97, 225, 104, 232, 88, 216, 66, 194, 49, 177, 33, 161, 22, 150, 12, 140, 8, 136)(6, 134, 13, 141, 9, 137, 18, 146, 29, 157, 44, 172, 61, 189, 82, 210, 101, 229, 105, 233, 87, 215, 67, 195, 48, 176, 34, 162, 21, 149, 14, 142)(16, 144, 26, 154, 17, 145, 28, 156, 35, 163, 51, 179, 68, 196, 90, 218, 106, 234, 117, 245, 111, 239, 98, 226, 76, 204, 56, 184, 40, 168, 27, 155)(23, 151, 36, 164, 24, 152, 38, 166, 50, 178, 69, 197, 89, 217, 107, 235, 116, 244, 114, 242, 102, 230, 83, 211, 62, 190, 45, 173, 30, 158, 37, 165)(41, 169, 57, 185, 42, 170, 59, 187, 77, 205, 99, 227, 112, 240, 121, 249, 124, 252, 119, 247, 108, 236, 92, 220, 70, 198, 60, 188, 43, 171, 58, 186)(52, 180, 71, 199, 53, 181, 73, 201, 63, 191, 84, 212, 103, 231, 115, 243, 123, 251, 125, 253, 118, 246, 109, 237, 91, 219, 74, 202, 54, 182, 72, 200)(78, 206, 93, 221, 79, 207, 94, 222, 81, 209, 96, 224, 110, 238, 120, 248, 126, 254, 128, 256, 127, 255, 122, 250, 113, 241, 100, 228, 80, 208, 95, 223)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 271)(11, 277)(12, 261)(13, 279)(14, 280)(15, 266)(16, 263)(17, 264)(18, 286)(19, 285)(20, 289)(21, 267)(22, 291)(23, 269)(24, 270)(25, 296)(26, 297)(27, 298)(28, 299)(29, 275)(30, 274)(31, 295)(32, 304)(33, 276)(34, 306)(35, 278)(36, 308)(37, 309)(38, 310)(39, 287)(40, 281)(41, 282)(42, 283)(43, 284)(44, 318)(45, 319)(46, 317)(47, 322)(48, 288)(49, 324)(50, 290)(51, 326)(52, 292)(53, 293)(54, 294)(55, 332)(56, 333)(57, 334)(58, 335)(59, 336)(60, 337)(61, 302)(62, 300)(63, 301)(64, 331)(65, 343)(66, 303)(67, 345)(68, 305)(69, 347)(70, 307)(71, 349)(72, 350)(73, 351)(74, 352)(75, 320)(76, 311)(77, 312)(78, 313)(79, 314)(80, 315)(81, 316)(82, 358)(83, 359)(84, 356)(85, 357)(86, 360)(87, 321)(88, 362)(89, 323)(90, 364)(91, 325)(92, 366)(93, 327)(94, 328)(95, 329)(96, 330)(97, 367)(98, 368)(99, 369)(100, 340)(101, 341)(102, 338)(103, 339)(104, 342)(105, 372)(106, 344)(107, 374)(108, 346)(109, 376)(110, 348)(111, 353)(112, 354)(113, 355)(114, 379)(115, 378)(116, 361)(117, 380)(118, 363)(119, 382)(120, 365)(121, 383)(122, 371)(123, 370)(124, 373)(125, 384)(126, 375)(127, 377)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2777
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|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, Y2^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 14, 142)(10, 138, 12, 140)(15, 143, 25, 153)(16, 144, 26, 154)(17, 145, 27, 155)(18, 146, 29, 157)(19, 147, 30, 158)(20, 148, 32, 160)(21, 149, 33, 161)(22, 150, 34, 162)(23, 151, 36, 164)(24, 152, 37, 165)(28, 156, 38, 166)(31, 159, 35, 163)(39, 167, 55, 183)(40, 168, 56, 184)(41, 169, 57, 185)(42, 170, 58, 186)(43, 171, 59, 187)(44, 172, 61, 189)(45, 173, 62, 190)(46, 174, 63, 191)(47, 175, 65, 193)(48, 176, 66, 194)(49, 177, 67, 195)(50, 178, 68, 196)(51, 179, 69, 197)(52, 180, 71, 199)(53, 181, 72, 200)(54, 182, 73, 201)(60, 188, 74, 202)(64, 192, 70, 198)(75, 203, 86, 214)(76, 204, 88, 216)(77, 205, 87, 215)(78, 206, 93, 221)(79, 207, 97, 225)(80, 208, 98, 226)(81, 209, 99, 227)(82, 210, 89, 217)(83, 211, 101, 229)(84, 212, 102, 230)(85, 213, 103, 231)(90, 218, 104, 232)(91, 219, 105, 233)(92, 220, 106, 234)(94, 222, 108, 236)(95, 223, 109, 237)(96, 224, 110, 238)(100, 228, 107, 235)(111, 239, 119, 247)(112, 240, 121, 249)(113, 241, 122, 250)(114, 242, 116, 244)(115, 243, 123, 251)(117, 245, 124, 252)(118, 246, 125, 253)(120, 248, 126, 254)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 273, 401, 284, 412, 299, 427, 316, 444, 337, 465, 356, 484, 341, 469, 320, 448, 302, 430, 287, 415, 275, 403, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 278, 406, 291, 419, 307, 435, 326, 454, 348, 476, 363, 491, 352, 480, 330, 458, 310, 438, 294, 422, 280, 408, 270, 398, 262, 390)(263, 391, 271, 399, 265, 393, 274, 402, 286, 414, 301, 429, 319, 447, 340, 468, 359, 487, 369, 497, 355, 483, 336, 464, 315, 443, 298, 426, 283, 411, 272, 400)(267, 395, 276, 404, 269, 397, 279, 407, 293, 421, 309, 437, 329, 457, 351, 479, 366, 494, 374, 502, 362, 490, 347, 475, 325, 453, 306, 434, 290, 418, 277, 405)(281, 409, 295, 423, 282, 410, 297, 425, 314, 442, 335, 463, 354, 482, 368, 496, 378, 506, 371, 499, 358, 486, 339, 467, 318, 446, 300, 428, 285, 413, 296, 424)(288, 416, 303, 431, 289, 417, 305, 433, 324, 452, 346, 474, 361, 489, 373, 501, 381, 509, 376, 504, 365, 493, 350, 478, 328, 456, 308, 436, 292, 420, 304, 432)(311, 439, 331, 459, 312, 440, 333, 461, 317, 445, 338, 466, 357, 485, 370, 498, 379, 507, 383, 511, 377, 505, 367, 495, 353, 481, 334, 462, 313, 441, 332, 460)(321, 449, 342, 470, 322, 450, 344, 472, 327, 455, 349, 477, 364, 492, 375, 503, 382, 510, 384, 512, 380, 508, 372, 500, 360, 488, 345, 473, 323, 451, 343, 471)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 270)(9, 260)(10, 268)(11, 261)(12, 266)(13, 262)(14, 264)(15, 281)(16, 282)(17, 283)(18, 285)(19, 286)(20, 288)(21, 289)(22, 290)(23, 292)(24, 293)(25, 271)(26, 272)(27, 273)(28, 294)(29, 274)(30, 275)(31, 291)(32, 276)(33, 277)(34, 278)(35, 287)(36, 279)(37, 280)(38, 284)(39, 311)(40, 312)(41, 313)(42, 314)(43, 315)(44, 317)(45, 318)(46, 319)(47, 321)(48, 322)(49, 323)(50, 324)(51, 325)(52, 327)(53, 328)(54, 329)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 330)(61, 300)(62, 301)(63, 302)(64, 326)(65, 303)(66, 304)(67, 305)(68, 306)(69, 307)(70, 320)(71, 308)(72, 309)(73, 310)(74, 316)(75, 342)(76, 344)(77, 343)(78, 349)(79, 353)(80, 354)(81, 355)(82, 345)(83, 357)(84, 358)(85, 359)(86, 331)(87, 333)(88, 332)(89, 338)(90, 360)(91, 361)(92, 362)(93, 334)(94, 364)(95, 365)(96, 366)(97, 335)(98, 336)(99, 337)(100, 363)(101, 339)(102, 340)(103, 341)(104, 346)(105, 347)(106, 348)(107, 356)(108, 350)(109, 351)(110, 352)(111, 375)(112, 377)(113, 378)(114, 372)(115, 379)(116, 370)(117, 380)(118, 381)(119, 367)(120, 382)(121, 368)(122, 369)(123, 371)(124, 373)(125, 374)(126, 376)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2782
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C4 : C16) : C2 (small group id <128, 93>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 14, 142, 26, 154, 24, 152, 12, 140, 4, 132)(3, 131, 9, 137, 19, 147, 33, 161, 41, 169, 28, 156, 15, 143, 8, 136)(5, 133, 11, 139, 22, 150, 37, 165, 42, 170, 27, 155, 16, 144, 7, 135)(10, 138, 18, 146, 29, 157, 44, 172, 57, 185, 49, 177, 34, 162, 20, 148)(13, 141, 17, 145, 30, 158, 43, 171, 58, 186, 53, 181, 38, 166, 23, 151)(21, 149, 35, 163, 50, 178, 65, 193, 73, 201, 60, 188, 45, 173, 32, 160)(25, 153, 39, 167, 54, 182, 69, 197, 74, 202, 59, 187, 46, 174, 31, 159)(36, 164, 48, 176, 61, 189, 76, 204, 89, 217, 81, 209, 66, 194, 51, 179)(40, 168, 47, 175, 62, 190, 75, 203, 90, 218, 85, 213, 70, 198, 55, 183)(52, 180, 67, 195, 82, 210, 97, 225, 104, 232, 92, 220, 77, 205, 64, 192)(56, 184, 71, 199, 86, 214, 101, 229, 105, 233, 91, 219, 78, 206, 63, 191)(68, 196, 80, 208, 93, 221, 107, 235, 116, 244, 111, 239, 98, 226, 83, 211)(72, 200, 79, 207, 94, 222, 106, 234, 117, 245, 114, 242, 102, 230, 87, 215)(84, 212, 99, 227, 112, 240, 121, 249, 124, 252, 119, 247, 108, 236, 96, 224)(88, 216, 103, 231, 115, 243, 123, 251, 125, 253, 118, 246, 109, 237, 95, 223)(100, 228, 110, 238, 120, 248, 126, 254, 128, 256, 127, 255, 122, 250, 113, 241)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 267)(5, 257)(6, 271)(7, 273)(8, 258)(9, 260)(10, 277)(11, 279)(12, 275)(13, 261)(14, 283)(15, 285)(16, 262)(17, 287)(18, 264)(19, 290)(20, 265)(21, 292)(22, 268)(23, 295)(24, 293)(25, 269)(26, 297)(27, 299)(28, 270)(29, 301)(30, 272)(31, 303)(32, 274)(33, 280)(34, 306)(35, 276)(36, 308)(37, 309)(38, 278)(39, 311)(40, 281)(41, 313)(42, 282)(43, 315)(44, 284)(45, 317)(46, 286)(47, 319)(48, 288)(49, 289)(50, 322)(51, 291)(52, 324)(53, 325)(54, 294)(55, 327)(56, 296)(57, 329)(58, 298)(59, 331)(60, 300)(61, 333)(62, 302)(63, 335)(64, 304)(65, 305)(66, 338)(67, 307)(68, 340)(69, 341)(70, 310)(71, 343)(72, 312)(73, 345)(74, 314)(75, 347)(76, 316)(77, 349)(78, 318)(79, 351)(80, 320)(81, 321)(82, 354)(83, 323)(84, 356)(85, 357)(86, 326)(87, 359)(88, 328)(89, 360)(90, 330)(91, 362)(92, 332)(93, 364)(94, 334)(95, 366)(96, 336)(97, 337)(98, 368)(99, 339)(100, 344)(101, 370)(102, 342)(103, 369)(104, 372)(105, 346)(106, 374)(107, 348)(108, 376)(109, 350)(110, 352)(111, 353)(112, 378)(113, 355)(114, 379)(115, 358)(116, 380)(117, 361)(118, 382)(119, 363)(120, 365)(121, 367)(122, 371)(123, 383)(124, 384)(125, 373)(126, 375)(127, 377)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2781
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2783 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 37, 61, 78, 64, 32, 56, 46, 22, 10, 4)(3, 7, 15, 31, 48, 44, 21, 43, 54, 26, 12, 25, 51, 38, 18, 8)(6, 13, 27, 55, 42, 20, 9, 19, 39, 50, 24, 49, 45, 62, 30, 14)(16, 33, 52, 76, 70, 36, 17, 35, 53, 77, 63, 85, 71, 90, 67, 34)(28, 57, 74, 73, 41, 60, 29, 59, 75, 95, 79, 98, 84, 72, 40, 58)(65, 86, 105, 92, 69, 89, 66, 88, 97, 117, 96, 116, 110, 91, 68, 87)(80, 99, 118, 104, 83, 102, 81, 101, 115, 114, 94, 113, 93, 103, 82, 100)(106, 125, 127, 124, 109, 123, 107, 121, 128, 119, 112, 126, 111, 122, 108, 120)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 65)(34, 66)(35, 68)(36, 69)(38, 71)(39, 64)(42, 47)(43, 67)(44, 70)(46, 51)(49, 74)(50, 75)(54, 78)(55, 79)(57, 80)(58, 81)(59, 82)(60, 83)(62, 84)(72, 93)(73, 94)(76, 96)(77, 97)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 115)(98, 118)(99, 119)(100, 120)(101, 121)(102, 122)(103, 123)(104, 124)(113, 126)(114, 125)(116, 127)(117, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2784
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2784 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1, T1^2 * T2 * T1^3 * T2 * T1 * T2 * T1 * T2 * T1, T1^-1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 ]
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, 92, 60, 30, 14)(9, 19, 39, 72, 108, 75, 42, 20)(12, 25, 49, 86, 115, 91, 52, 26)(16, 33, 50, 88, 110, 98, 66, 34)(17, 35, 51, 89, 111, 93, 69, 36)(21, 43, 76, 96, 117, 94, 77, 44)(24, 47, 82, 68, 104, 65, 85, 48)(28, 55, 83, 71, 107, 73, 40, 56)(29, 57, 84, 62, 100, 74, 41, 58)(32, 54, 87, 113, 124, 120, 101, 63)(37, 59, 90, 114, 125, 121, 106, 70)(45, 78, 105, 67, 103, 64, 102, 79)(46, 80, 109, 97, 118, 95, 112, 81)(99, 116, 126, 123, 128, 122, 127, 119)
	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, 64)(34, 65)(35, 67)(36, 68)(38, 71)(39, 63)(42, 70)(43, 66)(44, 69)(47, 83)(48, 84)(49, 87)(52, 90)(53, 93)(55, 94)(56, 95)(57, 96)(58, 97)(60, 98)(61, 99)(72, 89)(73, 91)(74, 86)(75, 88)(76, 101)(77, 106)(78, 107)(79, 100)(80, 110)(81, 111)(82, 113)(85, 114)(92, 116)(102, 121)(103, 122)(104, 123)(105, 120)(108, 119)(109, 124)(112, 125)(115, 126)(117, 127)(118, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2783
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2785 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1, T2^-3 * T1 * T2^3 * T1 * T2^-1 * T1 * T2 * T1, T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-1, T2^3 * T1 * T2^2 * T1 * T2^5 * T1 * T2^-2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 101, 66, 34, 16)(9, 19, 40, 73, 108, 75, 42, 20)(11, 23, 47, 82, 111, 85, 49, 24)(13, 27, 55, 92, 118, 94, 57, 28)(17, 35, 67, 104, 123, 105, 68, 36)(21, 43, 76, 102, 119, 99, 77, 44)(25, 50, 86, 114, 128, 115, 87, 51)(29, 58, 95, 112, 124, 109, 96, 59)(31, 61, 98, 60, 97, 72, 39, 62)(33, 64, 89, 52, 88, 74, 41, 65)(37, 69, 93, 56, 84, 48, 83, 70)(45, 78, 91, 54, 81, 46, 80, 79)(71, 106, 122, 103, 121, 100, 120, 107)(90, 116, 127, 113, 126, 110, 125, 117)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 178)(162, 186)(163, 175)(164, 183)(166, 199)(168, 179)(170, 187)(171, 177)(172, 185)(181, 218)(189, 227)(190, 228)(191, 222)(192, 230)(193, 231)(194, 213)(195, 214)(196, 223)(197, 226)(198, 217)(200, 233)(201, 220)(202, 232)(203, 210)(204, 215)(205, 224)(206, 225)(207, 216)(208, 237)(209, 238)(211, 240)(212, 241)(219, 243)(221, 242)(229, 244)(234, 239)(235, 246)(236, 245)(247, 253)(248, 252)(249, 254)(250, 256)(251, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2789
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2786 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, T2^2 * T1^-2 * T2 * T1^-2 * T2, T2^2 * T1^-1 * T2 * T1^-1 * T2^3, T1^8, T1^-1 * T2^-1 * T1 * T2 * T1^-2 * T2 * T1^3 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 54, 21, 53, 91, 122, 88, 49, 32, 65, 39, 15, 5)(2, 7, 19, 48, 85, 45, 38, 74, 100, 61, 25, 11, 28, 56, 22, 8)(4, 12, 31, 52, 37, 14, 36, 73, 101, 62, 27, 63, 99, 60, 24, 9)(6, 17, 43, 82, 117, 79, 55, 92, 121, 87, 47, 20, 50, 29, 46, 18)(13, 33, 64, 35, 59, 23, 58, 96, 124, 90, 69, 98, 126, 106, 68, 30)(16, 41, 77, 114, 128, 111, 86, 66, 103, 119, 81, 44, 83, 51, 80, 42)(34, 71, 95, 57, 94, 67, 105, 120, 108, 72, 102, 110, 127, 116, 97, 70)(40, 75, 109, 104, 125, 107, 118, 89, 123, 93, 113, 78, 115, 84, 112, 76)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 221, 194, 157, 139)(133, 142, 163, 200, 217, 179, 148, 135)(136, 149, 180, 218, 248, 212, 172, 145)(138, 153, 171, 209, 237, 230, 192, 155)(140, 158, 195, 232, 247, 220, 184, 160)(143, 166, 174, 214, 240, 233, 196, 164)(146, 173, 154, 190, 224, 244, 206, 169)(147, 175, 205, 241, 223, 197, 159, 177)(150, 183, 208, 246, 225, 186, 152, 181)(156, 178, 211, 243, 255, 254, 227, 193)(161, 198, 235, 242, 215, 202, 167, 191)(165, 182, 213, 245, 256, 253, 222, 187)(170, 207, 176, 216, 201, 234, 238, 203)(188, 226, 199, 204, 239, 210, 189, 219)(228, 249, 231, 251, 236, 252, 229, 250)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2790
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2787 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^-1)^8 ]
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, 63)(33, 65)(34, 66)(35, 68)(36, 69)(38, 71)(39, 64)(42, 47)(43, 67)(44, 70)(46, 51)(49, 74)(50, 75)(54, 78)(55, 79)(57, 80)(58, 81)(59, 82)(60, 83)(62, 84)(72, 93)(73, 94)(76, 96)(77, 97)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 115)(98, 118)(99, 119)(100, 120)(101, 121)(102, 122)(103, 123)(104, 124)(113, 126)(114, 125)(116, 127)(117, 128)(129, 130, 133, 139, 151, 175, 165, 189, 206, 192, 160, 184, 174, 150, 138, 132)(131, 135, 143, 159, 176, 172, 149, 171, 182, 154, 140, 153, 179, 166, 146, 136)(134, 141, 155, 183, 170, 148, 137, 147, 167, 178, 152, 177, 173, 190, 158, 142)(144, 161, 180, 204, 198, 164, 145, 163, 181, 205, 191, 213, 199, 218, 195, 162)(156, 185, 202, 201, 169, 188, 157, 187, 203, 223, 207, 226, 212, 200, 168, 186)(193, 214, 233, 220, 197, 217, 194, 216, 225, 245, 224, 244, 238, 219, 196, 215)(208, 227, 246, 232, 211, 230, 209, 229, 243, 242, 222, 241, 221, 231, 210, 228)(234, 253, 255, 252, 237, 251, 235, 249, 256, 247, 240, 254, 239, 250, 236, 248)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2788
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2788 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1, T2^-3 * T1 * T2^3 * T1 * T2^-1 * T1 * T2 * T1, T2^-1 * T1 * T2^3 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-3 * T1 * T2^-1, T2^3 * T1 * T2^2 * T1 * T2^5 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 101, 229, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 73, 201, 108, 236, 75, 203, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 82, 210, 111, 239, 85, 213, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 92, 220, 118, 246, 94, 222, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 104, 232, 123, 251, 105, 233, 68, 196, 36, 164)(21, 149, 43, 171, 76, 204, 102, 230, 119, 247, 99, 227, 77, 205, 44, 172)(25, 153, 50, 178, 86, 214, 114, 242, 128, 256, 115, 243, 87, 215, 51, 179)(29, 157, 58, 186, 95, 223, 112, 240, 124, 252, 109, 237, 96, 224, 59, 187)(31, 159, 61, 189, 98, 226, 60, 188, 97, 225, 72, 200, 39, 167, 62, 190)(33, 161, 64, 192, 89, 217, 52, 180, 88, 216, 74, 202, 41, 169, 65, 193)(37, 165, 69, 197, 93, 221, 56, 184, 84, 212, 48, 176, 83, 211, 70, 198)(45, 173, 78, 206, 91, 219, 54, 182, 81, 209, 46, 174, 80, 208, 79, 207)(71, 199, 106, 234, 122, 250, 103, 231, 121, 249, 100, 228, 120, 248, 107, 235)(90, 218, 116, 244, 127, 255, 113, 241, 126, 254, 110, 238, 125, 253, 117, 245)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 178)(33, 144)(34, 186)(35, 175)(36, 183)(37, 146)(38, 199)(39, 147)(40, 179)(41, 148)(42, 187)(43, 177)(44, 185)(45, 150)(46, 151)(47, 163)(48, 152)(49, 171)(50, 160)(51, 168)(52, 154)(53, 218)(54, 155)(55, 164)(56, 156)(57, 172)(58, 162)(59, 170)(60, 158)(61, 227)(62, 228)(63, 222)(64, 230)(65, 231)(66, 213)(67, 214)(68, 223)(69, 226)(70, 217)(71, 166)(72, 233)(73, 220)(74, 232)(75, 210)(76, 215)(77, 224)(78, 225)(79, 216)(80, 237)(81, 238)(82, 203)(83, 240)(84, 241)(85, 194)(86, 195)(87, 204)(88, 207)(89, 198)(90, 181)(91, 243)(92, 201)(93, 242)(94, 191)(95, 196)(96, 205)(97, 206)(98, 197)(99, 189)(100, 190)(101, 244)(102, 192)(103, 193)(104, 202)(105, 200)(106, 239)(107, 246)(108, 245)(109, 208)(110, 209)(111, 234)(112, 211)(113, 212)(114, 221)(115, 219)(116, 229)(117, 236)(118, 235)(119, 253)(120, 252)(121, 254)(122, 256)(123, 255)(124, 248)(125, 247)(126, 249)(127, 251)(128, 250)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2787
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2789 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, T2^2 * T1^-2 * T2 * T1^-2 * T2, T2^2 * T1^-1 * T2 * T1^-1 * T2^3, T1^8, T1^-1 * T2^-1 * T1 * T2 * T1^-2 * T2 * T1^3 * T2^-1 * T1^-1 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 26, 154, 54, 182, 21, 149, 53, 181, 91, 219, 122, 250, 88, 216, 49, 177, 32, 160, 65, 193, 39, 167, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 48, 176, 85, 213, 45, 173, 38, 166, 74, 202, 100, 228, 61, 189, 25, 153, 11, 139, 28, 156, 56, 184, 22, 150, 8, 136)(4, 132, 12, 140, 31, 159, 52, 180, 37, 165, 14, 142, 36, 164, 73, 201, 101, 229, 62, 190, 27, 155, 63, 191, 99, 227, 60, 188, 24, 152, 9, 137)(6, 134, 17, 145, 43, 171, 82, 210, 117, 245, 79, 207, 55, 183, 92, 220, 121, 249, 87, 215, 47, 175, 20, 148, 50, 178, 29, 157, 46, 174, 18, 146)(13, 141, 33, 161, 64, 192, 35, 163, 59, 187, 23, 151, 58, 186, 96, 224, 124, 252, 90, 218, 69, 197, 98, 226, 126, 254, 106, 234, 68, 196, 30, 158)(16, 144, 41, 169, 77, 205, 114, 242, 128, 256, 111, 239, 86, 214, 66, 194, 103, 231, 119, 247, 81, 209, 44, 172, 83, 211, 51, 179, 80, 208, 42, 170)(34, 162, 71, 199, 95, 223, 57, 185, 94, 222, 67, 195, 105, 233, 120, 248, 108, 236, 72, 200, 102, 230, 110, 238, 127, 255, 116, 244, 97, 225, 70, 198)(40, 168, 75, 203, 109, 237, 104, 232, 125, 253, 107, 235, 118, 246, 89, 217, 123, 251, 93, 221, 113, 241, 78, 206, 115, 243, 84, 212, 112, 240, 76, 204)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 151)(10, 153)(11, 131)(12, 158)(13, 132)(14, 163)(15, 166)(16, 168)(17, 136)(18, 173)(19, 175)(20, 135)(21, 180)(22, 183)(23, 185)(24, 181)(25, 171)(26, 190)(27, 138)(28, 178)(29, 139)(30, 195)(31, 177)(32, 140)(33, 198)(34, 141)(35, 200)(36, 143)(37, 182)(38, 174)(39, 191)(40, 162)(41, 146)(42, 207)(43, 209)(44, 145)(45, 154)(46, 214)(47, 205)(48, 216)(49, 147)(50, 211)(51, 148)(52, 218)(53, 150)(54, 213)(55, 208)(56, 160)(57, 221)(58, 152)(59, 165)(60, 226)(61, 219)(62, 224)(63, 161)(64, 155)(65, 156)(66, 157)(67, 232)(68, 164)(69, 159)(70, 235)(71, 204)(72, 217)(73, 234)(74, 167)(75, 170)(76, 239)(77, 241)(78, 169)(79, 176)(80, 246)(81, 237)(82, 189)(83, 243)(84, 172)(85, 245)(86, 240)(87, 202)(88, 201)(89, 179)(90, 248)(91, 188)(92, 184)(93, 194)(94, 187)(95, 197)(96, 244)(97, 186)(98, 199)(99, 193)(100, 249)(101, 250)(102, 192)(103, 251)(104, 247)(105, 196)(106, 238)(107, 242)(108, 252)(109, 230)(110, 203)(111, 210)(112, 233)(113, 223)(114, 215)(115, 255)(116, 206)(117, 256)(118, 225)(119, 220)(120, 212)(121, 231)(122, 228)(123, 236)(124, 229)(125, 222)(126, 227)(127, 254)(128, 253)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2785
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2790 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^-5, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 53, 181)(27, 155, 56, 184)(30, 158, 61, 189)(31, 159, 63, 191)(33, 161, 65, 193)(34, 162, 66, 194)(35, 163, 68, 196)(36, 164, 69, 197)(38, 166, 71, 199)(39, 167, 64, 192)(42, 170, 47, 175)(43, 171, 67, 195)(44, 172, 70, 198)(46, 174, 51, 179)(49, 177, 74, 202)(50, 178, 75, 203)(54, 182, 78, 206)(55, 183, 79, 207)(57, 185, 80, 208)(58, 186, 81, 209)(59, 187, 82, 210)(60, 188, 83, 211)(62, 190, 84, 212)(72, 200, 93, 221)(73, 201, 94, 222)(76, 204, 96, 224)(77, 205, 97, 225)(85, 213, 105, 233)(86, 214, 106, 234)(87, 215, 107, 235)(88, 216, 108, 236)(89, 217, 109, 237)(90, 218, 110, 238)(91, 219, 111, 239)(92, 220, 112, 240)(95, 223, 115, 243)(98, 226, 118, 246)(99, 227, 119, 247)(100, 228, 120, 248)(101, 229, 121, 249)(102, 230, 122, 250)(103, 231, 123, 251)(104, 232, 124, 252)(113, 241, 126, 254)(114, 242, 125, 253)(116, 244, 127, 255)(117, 245, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 175)(24, 177)(25, 179)(26, 140)(27, 183)(28, 185)(29, 187)(30, 142)(31, 176)(32, 184)(33, 180)(34, 144)(35, 181)(36, 145)(37, 189)(38, 146)(39, 178)(40, 186)(41, 188)(42, 148)(43, 182)(44, 149)(45, 190)(46, 150)(47, 165)(48, 172)(49, 173)(50, 152)(51, 166)(52, 204)(53, 205)(54, 154)(55, 170)(56, 174)(57, 202)(58, 156)(59, 203)(60, 157)(61, 206)(62, 158)(63, 213)(64, 160)(65, 214)(66, 216)(67, 162)(68, 215)(69, 217)(70, 164)(71, 218)(72, 168)(73, 169)(74, 201)(75, 223)(76, 198)(77, 191)(78, 192)(79, 226)(80, 227)(81, 229)(82, 228)(83, 230)(84, 200)(85, 199)(86, 233)(87, 193)(88, 225)(89, 194)(90, 195)(91, 196)(92, 197)(93, 231)(94, 241)(95, 207)(96, 244)(97, 245)(98, 212)(99, 246)(100, 208)(101, 243)(102, 209)(103, 210)(104, 211)(105, 220)(106, 253)(107, 249)(108, 248)(109, 251)(110, 219)(111, 250)(112, 254)(113, 221)(114, 222)(115, 242)(116, 238)(117, 224)(118, 232)(119, 240)(120, 234)(121, 256)(122, 236)(123, 235)(124, 237)(125, 255)(126, 239)(127, 252)(128, 247)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2786
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^-1 * R * Y1 * Y2^-2)^2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1, Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2 * R * Y2^3 * R * Y2^3 * Y1, Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 50, 178)(34, 162, 58, 186)(35, 163, 47, 175)(36, 164, 55, 183)(38, 166, 71, 199)(40, 168, 51, 179)(42, 170, 59, 187)(43, 171, 49, 177)(44, 172, 57, 185)(53, 181, 90, 218)(61, 189, 99, 227)(62, 190, 100, 228)(63, 191, 94, 222)(64, 192, 102, 230)(65, 193, 103, 231)(66, 194, 85, 213)(67, 195, 86, 214)(68, 196, 95, 223)(69, 197, 98, 226)(70, 198, 89, 217)(72, 200, 105, 233)(73, 201, 92, 220)(74, 202, 104, 232)(75, 203, 82, 210)(76, 204, 87, 215)(77, 205, 96, 224)(78, 206, 97, 225)(79, 207, 88, 216)(80, 208, 109, 237)(81, 209, 110, 238)(83, 211, 112, 240)(84, 212, 113, 241)(91, 219, 115, 243)(93, 221, 114, 242)(101, 229, 116, 244)(106, 234, 111, 239)(107, 235, 118, 246)(108, 236, 117, 245)(119, 247, 125, 253)(120, 248, 124, 252)(121, 249, 126, 254)(122, 250, 128, 256)(123, 251, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 357, 485, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 329, 457, 364, 492, 331, 459, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 338, 466, 367, 495, 341, 469, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 348, 476, 374, 502, 350, 478, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 360, 488, 379, 507, 361, 489, 324, 452, 292, 420)(277, 405, 299, 427, 332, 460, 358, 486, 375, 503, 355, 483, 333, 461, 300, 428)(281, 409, 306, 434, 342, 470, 370, 498, 384, 512, 371, 499, 343, 471, 307, 435)(285, 413, 314, 442, 351, 479, 368, 496, 380, 508, 365, 493, 352, 480, 315, 443)(287, 415, 317, 445, 354, 482, 316, 444, 353, 481, 328, 456, 295, 423, 318, 446)(289, 417, 320, 448, 345, 473, 308, 436, 344, 472, 330, 458, 297, 425, 321, 449)(293, 421, 325, 453, 349, 477, 312, 440, 340, 468, 304, 432, 339, 467, 326, 454)(301, 429, 334, 462, 347, 475, 310, 438, 337, 465, 302, 430, 336, 464, 335, 463)(327, 455, 362, 490, 378, 506, 359, 487, 377, 505, 356, 484, 376, 504, 363, 491)(346, 474, 372, 500, 383, 511, 369, 497, 382, 510, 366, 494, 381, 509, 373, 501)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 306)(33, 272)(34, 314)(35, 303)(36, 311)(37, 274)(38, 327)(39, 275)(40, 307)(41, 276)(42, 315)(43, 305)(44, 313)(45, 278)(46, 279)(47, 291)(48, 280)(49, 299)(50, 288)(51, 296)(52, 282)(53, 346)(54, 283)(55, 292)(56, 284)(57, 300)(58, 290)(59, 298)(60, 286)(61, 355)(62, 356)(63, 350)(64, 358)(65, 359)(66, 341)(67, 342)(68, 351)(69, 354)(70, 345)(71, 294)(72, 361)(73, 348)(74, 360)(75, 338)(76, 343)(77, 352)(78, 353)(79, 344)(80, 365)(81, 366)(82, 331)(83, 368)(84, 369)(85, 322)(86, 323)(87, 332)(88, 335)(89, 326)(90, 309)(91, 371)(92, 329)(93, 370)(94, 319)(95, 324)(96, 333)(97, 334)(98, 325)(99, 317)(100, 318)(101, 372)(102, 320)(103, 321)(104, 330)(105, 328)(106, 367)(107, 374)(108, 373)(109, 336)(110, 337)(111, 362)(112, 339)(113, 340)(114, 349)(115, 347)(116, 357)(117, 364)(118, 363)(119, 381)(120, 380)(121, 382)(122, 384)(123, 383)(124, 376)(125, 375)(126, 377)(127, 379)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2794
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, Y2^3 * Y1^-2 * Y2 * Y1^-2, Y1^8, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-2 * Y2 * Y1^3 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 93, 221, 66, 194, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 72, 200, 89, 217, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 90, 218, 120, 248, 84, 212, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 81, 209, 109, 237, 102, 230, 64, 192, 27, 155)(12, 140, 30, 158, 67, 195, 104, 232, 119, 247, 92, 220, 56, 184, 32, 160)(15, 143, 38, 166, 46, 174, 86, 214, 112, 240, 105, 233, 68, 196, 36, 164)(18, 146, 45, 173, 26, 154, 62, 190, 96, 224, 116, 244, 78, 206, 41, 169)(19, 147, 47, 175, 77, 205, 113, 241, 95, 223, 69, 197, 31, 159, 49, 177)(22, 150, 55, 183, 80, 208, 118, 246, 97, 225, 58, 186, 24, 152, 53, 181)(28, 156, 50, 178, 83, 211, 115, 243, 127, 255, 126, 254, 99, 227, 65, 193)(33, 161, 70, 198, 107, 235, 114, 242, 87, 215, 74, 202, 39, 167, 63, 191)(37, 165, 54, 182, 85, 213, 117, 245, 128, 256, 125, 253, 94, 222, 59, 187)(42, 170, 79, 207, 48, 176, 88, 216, 73, 201, 106, 234, 110, 238, 75, 203)(60, 188, 98, 226, 71, 199, 76, 204, 111, 239, 82, 210, 61, 189, 91, 219)(100, 228, 121, 249, 103, 231, 123, 251, 108, 236, 124, 252, 101, 229, 122, 250)(257, 385, 259, 387, 266, 394, 282, 410, 310, 438, 277, 405, 309, 437, 347, 475, 378, 506, 344, 472, 305, 433, 288, 416, 321, 449, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 341, 469, 301, 429, 294, 422, 330, 458, 356, 484, 317, 445, 281, 409, 267, 395, 284, 412, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 308, 436, 293, 421, 270, 398, 292, 420, 329, 457, 357, 485, 318, 446, 283, 411, 319, 447, 355, 483, 316, 444, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 338, 466, 373, 501, 335, 463, 311, 439, 348, 476, 377, 505, 343, 471, 303, 431, 276, 404, 306, 434, 285, 413, 302, 430, 274, 402)(269, 397, 289, 417, 320, 448, 291, 419, 315, 443, 279, 407, 314, 442, 352, 480, 380, 508, 346, 474, 325, 453, 354, 482, 382, 510, 362, 490, 324, 452, 286, 414)(272, 400, 297, 425, 333, 461, 370, 498, 384, 512, 367, 495, 342, 470, 322, 450, 359, 487, 375, 503, 337, 465, 300, 428, 339, 467, 307, 435, 336, 464, 298, 426)(290, 418, 327, 455, 351, 479, 313, 441, 350, 478, 323, 451, 361, 489, 376, 504, 364, 492, 328, 456, 358, 486, 366, 494, 383, 511, 372, 500, 353, 481, 326, 454)(296, 424, 331, 459, 365, 493, 360, 488, 381, 509, 363, 491, 374, 502, 345, 473, 379, 507, 349, 477, 369, 497, 334, 462, 371, 499, 340, 468, 368, 496, 332, 460)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 310)(27, 319)(28, 312)(29, 302)(30, 269)(31, 308)(32, 321)(33, 320)(34, 327)(35, 315)(36, 329)(37, 270)(38, 330)(39, 271)(40, 331)(41, 333)(42, 272)(43, 338)(44, 339)(45, 294)(46, 274)(47, 276)(48, 341)(49, 288)(50, 285)(51, 336)(52, 293)(53, 347)(54, 277)(55, 348)(56, 278)(57, 350)(58, 352)(59, 279)(60, 280)(61, 281)(62, 283)(63, 355)(64, 291)(65, 295)(66, 359)(67, 361)(68, 286)(69, 354)(70, 290)(71, 351)(72, 358)(73, 357)(74, 356)(75, 365)(76, 296)(77, 370)(78, 371)(79, 311)(80, 298)(81, 300)(82, 373)(83, 307)(84, 368)(85, 301)(86, 322)(87, 303)(88, 305)(89, 379)(90, 325)(91, 378)(92, 377)(93, 369)(94, 323)(95, 313)(96, 380)(97, 326)(98, 382)(99, 316)(100, 317)(101, 318)(102, 366)(103, 375)(104, 381)(105, 376)(106, 324)(107, 374)(108, 328)(109, 360)(110, 383)(111, 342)(112, 332)(113, 334)(114, 384)(115, 340)(116, 353)(117, 335)(118, 345)(119, 337)(120, 364)(121, 343)(122, 344)(123, 349)(124, 346)(125, 363)(126, 362)(127, 372)(128, 367)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2793
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-5 * Y2 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3, (Y3^-2 * Y2 * Y3^2 * Y2)^2, (Y3 * Y2)^8, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 303, 431)(280, 408, 305, 433)(282, 410, 309, 437)(283, 411, 311, 439)(284, 412, 313, 441)(286, 414, 317, 445)(288, 416, 307, 435)(290, 418, 315, 443)(291, 419, 304, 432)(292, 420, 312, 440)(294, 422, 310, 438)(296, 424, 308, 436)(298, 426, 316, 444)(299, 427, 306, 434)(300, 428, 314, 442)(302, 430, 318, 446)(319, 447, 341, 469)(320, 448, 343, 471)(321, 449, 344, 472)(322, 450, 345, 473)(323, 451, 347, 475)(324, 452, 348, 476)(325, 453, 336, 464)(326, 454, 342, 470)(327, 455, 346, 474)(328, 456, 349, 477)(329, 457, 350, 478)(330, 458, 351, 479)(331, 459, 353, 481)(332, 460, 354, 482)(333, 461, 355, 483)(334, 462, 357, 485)(335, 463, 358, 486)(337, 465, 352, 480)(338, 466, 356, 484)(339, 467, 359, 487)(340, 468, 360, 488)(361, 489, 380, 508)(362, 490, 372, 500)(363, 491, 373, 501)(364, 492, 377, 505)(365, 493, 381, 509)(366, 494, 382, 510)(367, 495, 374, 502)(368, 496, 378, 506)(369, 497, 379, 507)(370, 498, 371, 499)(375, 503, 383, 511)(376, 504, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 304)(24, 267)(25, 307)(26, 310)(27, 312)(28, 269)(29, 315)(30, 270)(31, 319)(32, 321)(33, 322)(34, 272)(35, 318)(36, 273)(37, 326)(38, 316)(39, 320)(40, 327)(41, 323)(42, 276)(43, 325)(44, 277)(45, 324)(46, 278)(47, 330)(48, 332)(49, 333)(50, 280)(51, 302)(52, 281)(53, 337)(54, 300)(55, 331)(56, 338)(57, 334)(58, 284)(59, 336)(60, 285)(61, 335)(62, 286)(63, 342)(64, 287)(65, 298)(66, 346)(67, 289)(68, 290)(69, 292)(70, 301)(71, 293)(72, 295)(73, 297)(74, 352)(75, 303)(76, 314)(77, 356)(78, 305)(79, 306)(80, 308)(81, 317)(82, 309)(83, 311)(84, 313)(85, 361)(86, 329)(87, 363)(88, 365)(89, 362)(90, 366)(91, 364)(92, 328)(93, 367)(94, 369)(95, 371)(96, 340)(97, 373)(98, 375)(99, 372)(100, 376)(101, 374)(102, 339)(103, 377)(104, 379)(105, 381)(106, 341)(107, 382)(108, 343)(109, 348)(110, 344)(111, 345)(112, 347)(113, 349)(114, 350)(115, 383)(116, 351)(117, 384)(118, 353)(119, 358)(120, 354)(121, 355)(122, 357)(123, 359)(124, 360)(125, 368)(126, 370)(127, 378)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2792
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-6 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y3 * Y1^4 * Y3 * Y1^-4, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 47, 175, 37, 165, 61, 189, 78, 206, 64, 192, 32, 160, 56, 184, 46, 174, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 48, 176, 44, 172, 21, 149, 43, 171, 54, 182, 26, 154, 12, 140, 25, 153, 51, 179, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 55, 183, 42, 170, 20, 148, 9, 137, 19, 147, 39, 167, 50, 178, 24, 152, 49, 177, 45, 173, 62, 190, 30, 158, 14, 142)(16, 144, 33, 161, 52, 180, 76, 204, 70, 198, 36, 164, 17, 145, 35, 163, 53, 181, 77, 205, 63, 191, 85, 213, 71, 199, 90, 218, 67, 195, 34, 162)(28, 156, 57, 185, 74, 202, 73, 201, 41, 169, 60, 188, 29, 157, 59, 187, 75, 203, 95, 223, 79, 207, 98, 226, 84, 212, 72, 200, 40, 168, 58, 186)(65, 193, 86, 214, 105, 233, 92, 220, 69, 197, 89, 217, 66, 194, 88, 216, 97, 225, 117, 245, 96, 224, 116, 244, 110, 238, 91, 219, 68, 196, 87, 215)(80, 208, 99, 227, 118, 246, 104, 232, 83, 211, 102, 230, 81, 209, 101, 229, 115, 243, 114, 242, 94, 222, 113, 241, 93, 221, 103, 231, 82, 210, 100, 228)(106, 234, 125, 253, 127, 255, 124, 252, 109, 237, 123, 251, 107, 235, 121, 249, 128, 256, 119, 247, 112, 240, 126, 254, 111, 239, 122, 250, 108, 236, 120, 248)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 304)(24, 267)(25, 308)(26, 309)(27, 312)(28, 269)(29, 270)(30, 317)(31, 319)(32, 271)(33, 321)(34, 322)(35, 324)(36, 325)(37, 274)(38, 327)(39, 320)(40, 275)(41, 276)(42, 303)(43, 323)(44, 326)(45, 278)(46, 307)(47, 298)(48, 279)(49, 330)(50, 331)(51, 302)(52, 281)(53, 282)(54, 334)(55, 335)(56, 283)(57, 336)(58, 337)(59, 338)(60, 339)(61, 286)(62, 340)(63, 287)(64, 295)(65, 289)(66, 290)(67, 299)(68, 291)(69, 292)(70, 300)(71, 294)(72, 349)(73, 350)(74, 305)(75, 306)(76, 352)(77, 353)(78, 310)(79, 311)(80, 313)(81, 314)(82, 315)(83, 316)(84, 318)(85, 361)(86, 362)(87, 363)(88, 364)(89, 365)(90, 366)(91, 367)(92, 368)(93, 328)(94, 329)(95, 371)(96, 332)(97, 333)(98, 374)(99, 375)(100, 376)(101, 377)(102, 378)(103, 379)(104, 380)(105, 341)(106, 342)(107, 343)(108, 344)(109, 345)(110, 346)(111, 347)(112, 348)(113, 382)(114, 381)(115, 351)(116, 383)(117, 384)(118, 354)(119, 355)(120, 356)(121, 357)(122, 358)(123, 359)(124, 360)(125, 370)(126, 369)(127, 372)(128, 373)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2791
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * R * Y2^-2)^2, Y2^-5 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-3)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^2, (Y3 * Y2^-1)^8, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 47, 175)(24, 152, 49, 177)(26, 154, 53, 181)(27, 155, 55, 183)(28, 156, 57, 185)(30, 158, 61, 189)(32, 160, 51, 179)(34, 162, 59, 187)(35, 163, 48, 176)(36, 164, 56, 184)(38, 166, 54, 182)(40, 168, 52, 180)(42, 170, 60, 188)(43, 171, 50, 178)(44, 172, 58, 186)(46, 174, 62, 190)(63, 191, 85, 213)(64, 192, 87, 215)(65, 193, 88, 216)(66, 194, 89, 217)(67, 195, 91, 219)(68, 196, 92, 220)(69, 197, 80, 208)(70, 198, 86, 214)(71, 199, 90, 218)(72, 200, 93, 221)(73, 201, 94, 222)(74, 202, 95, 223)(75, 203, 97, 225)(76, 204, 98, 226)(77, 205, 99, 227)(78, 206, 101, 229)(79, 207, 102, 230)(81, 209, 96, 224)(82, 210, 100, 228)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 124, 252)(106, 234, 116, 244)(107, 235, 117, 245)(108, 236, 121, 249)(109, 237, 125, 253)(110, 238, 126, 254)(111, 239, 118, 246)(112, 240, 122, 250)(113, 241, 123, 251)(114, 242, 115, 243)(119, 247, 127, 255)(120, 248, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 316, 444, 285, 413, 315, 443, 336, 464, 308, 436, 281, 409, 307, 435, 302, 430, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 310, 438, 300, 428, 277, 405, 299, 427, 325, 453, 292, 420, 273, 401, 291, 419, 318, 446, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 321, 449, 298, 426, 276, 404, 265, 393, 275, 403, 296, 424, 327, 455, 293, 421, 326, 454, 301, 429, 324, 452, 290, 418, 272, 400)(267, 395, 279, 407, 304, 432, 332, 460, 314, 442, 284, 412, 269, 397, 283, 411, 312, 440, 338, 466, 309, 437, 337, 465, 317, 445, 335, 463, 306, 434, 280, 408)(287, 415, 319, 447, 342, 470, 329, 457, 297, 425, 323, 451, 289, 417, 322, 450, 346, 474, 366, 494, 344, 472, 365, 493, 348, 476, 328, 456, 295, 423, 320, 448)(303, 431, 330, 458, 352, 480, 340, 468, 313, 441, 334, 462, 305, 433, 333, 461, 356, 484, 376, 504, 354, 482, 375, 503, 358, 486, 339, 467, 311, 439, 331, 459)(341, 469, 361, 489, 381, 509, 368, 496, 347, 475, 364, 492, 343, 471, 363, 491, 382, 510, 370, 498, 350, 478, 369, 497, 349, 477, 367, 495, 345, 473, 362, 490)(351, 479, 371, 499, 383, 511, 378, 506, 357, 485, 374, 502, 353, 481, 373, 501, 384, 512, 380, 508, 360, 488, 379, 507, 359, 487, 377, 505, 355, 483, 372, 500)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 303)(24, 305)(25, 268)(26, 309)(27, 311)(28, 313)(29, 270)(30, 317)(31, 271)(32, 307)(33, 272)(34, 315)(35, 304)(36, 312)(37, 274)(38, 310)(39, 275)(40, 308)(41, 276)(42, 316)(43, 306)(44, 314)(45, 278)(46, 318)(47, 279)(48, 291)(49, 280)(50, 299)(51, 288)(52, 296)(53, 282)(54, 294)(55, 283)(56, 292)(57, 284)(58, 300)(59, 290)(60, 298)(61, 286)(62, 302)(63, 341)(64, 343)(65, 344)(66, 345)(67, 347)(68, 348)(69, 336)(70, 342)(71, 346)(72, 349)(73, 350)(74, 351)(75, 353)(76, 354)(77, 355)(78, 357)(79, 358)(80, 325)(81, 352)(82, 356)(83, 359)(84, 360)(85, 319)(86, 326)(87, 320)(88, 321)(89, 322)(90, 327)(91, 323)(92, 324)(93, 328)(94, 329)(95, 330)(96, 337)(97, 331)(98, 332)(99, 333)(100, 338)(101, 334)(102, 335)(103, 339)(104, 340)(105, 380)(106, 372)(107, 373)(108, 377)(109, 381)(110, 382)(111, 374)(112, 378)(113, 379)(114, 371)(115, 370)(116, 362)(117, 363)(118, 367)(119, 383)(120, 384)(121, 364)(122, 368)(123, 369)(124, 361)(125, 365)(126, 366)(127, 375)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2796
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 : C8) : C2 (small group id <128, 68>)
Aut   = $<256, 5302>$ (small group id <256, 5302>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-2 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3^2 * Y1^-2 * Y3 * Y1^-2 * Y3, Y1 * Y3^-1 * Y1 * Y3^-5, Y1^8, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 93, 221, 66, 194, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 72, 200, 89, 217, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 90, 218, 120, 248, 84, 212, 44, 172, 17, 145)(10, 138, 25, 153, 43, 171, 81, 209, 109, 237, 102, 230, 64, 192, 27, 155)(12, 140, 30, 158, 67, 195, 104, 232, 119, 247, 92, 220, 56, 184, 32, 160)(15, 143, 38, 166, 46, 174, 86, 214, 112, 240, 105, 233, 68, 196, 36, 164)(18, 146, 45, 173, 26, 154, 62, 190, 96, 224, 116, 244, 78, 206, 41, 169)(19, 147, 47, 175, 77, 205, 113, 241, 95, 223, 69, 197, 31, 159, 49, 177)(22, 150, 55, 183, 80, 208, 118, 246, 97, 225, 58, 186, 24, 152, 53, 181)(28, 156, 50, 178, 83, 211, 115, 243, 127, 255, 126, 254, 99, 227, 65, 193)(33, 161, 70, 198, 107, 235, 114, 242, 87, 215, 74, 202, 39, 167, 63, 191)(37, 165, 54, 182, 85, 213, 117, 245, 128, 256, 125, 253, 94, 222, 59, 187)(42, 170, 79, 207, 48, 176, 88, 216, 73, 201, 106, 234, 110, 238, 75, 203)(60, 188, 98, 226, 71, 199, 76, 204, 111, 239, 82, 210, 61, 189, 91, 219)(100, 228, 121, 249, 103, 231, 123, 251, 108, 236, 124, 252, 101, 229, 122, 250)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 314)(24, 265)(25, 267)(26, 310)(27, 319)(28, 312)(29, 302)(30, 269)(31, 308)(32, 321)(33, 320)(34, 327)(35, 315)(36, 329)(37, 270)(38, 330)(39, 271)(40, 331)(41, 333)(42, 272)(43, 338)(44, 339)(45, 294)(46, 274)(47, 276)(48, 341)(49, 288)(50, 285)(51, 336)(52, 293)(53, 347)(54, 277)(55, 348)(56, 278)(57, 350)(58, 352)(59, 279)(60, 280)(61, 281)(62, 283)(63, 355)(64, 291)(65, 295)(66, 359)(67, 361)(68, 286)(69, 354)(70, 290)(71, 351)(72, 358)(73, 357)(74, 356)(75, 365)(76, 296)(77, 370)(78, 371)(79, 311)(80, 298)(81, 300)(82, 373)(83, 307)(84, 368)(85, 301)(86, 322)(87, 303)(88, 305)(89, 379)(90, 325)(91, 378)(92, 377)(93, 369)(94, 323)(95, 313)(96, 380)(97, 326)(98, 382)(99, 316)(100, 317)(101, 318)(102, 366)(103, 375)(104, 381)(105, 376)(106, 324)(107, 374)(108, 328)(109, 360)(110, 383)(111, 342)(112, 332)(113, 334)(114, 384)(115, 340)(116, 353)(117, 335)(118, 345)(119, 337)(120, 364)(121, 343)(122, 344)(123, 349)(124, 346)(125, 363)(126, 362)(127, 372)(128, 367)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2795
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2797 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^16, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 85, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 88, 107, 103, 81, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 87, 108, 106, 84, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 90, 109, 123, 120, 102, 80, 59, 42, 27, 16, 26)(23, 36, 50, 69, 89, 110, 122, 121, 105, 83, 62, 44, 29, 38, 24, 37)(39, 55, 70, 92, 111, 125, 128, 126, 119, 101, 79, 58, 41, 57, 40, 56)(52, 71, 91, 112, 124, 118, 127, 117, 104, 82, 61, 74, 54, 73, 53, 72)(75, 97, 113, 96, 116, 95, 115, 94, 114, 93, 78, 100, 77, 99, 76, 98)
	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, 104)(84, 105)(85, 106)(86, 107)(88, 109)(90, 111)(92, 113)(98, 117)(99, 118)(100, 112)(101, 114)(102, 119)(103, 120)(108, 122)(110, 124)(115, 126)(116, 125)(121, 127)(123, 128)
	local type(s) :: { ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2798
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 64 f = 16
	degree seq :: [ 16^8 ]

E21.2798 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 16})
Quotient :: regular
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^8, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T2 * T1^-3 * T2 * T1^-3 * T2 * T1^3 * T2 * T1^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 53, 36, 18, 8)(6, 13, 27, 49, 76, 52, 30, 14)(9, 19, 37, 60, 86, 61, 38, 20)(12, 25, 45, 72, 99, 75, 48, 26)(16, 28, 46, 69, 92, 82, 56, 33)(17, 29, 47, 70, 93, 83, 57, 34)(21, 39, 62, 87, 108, 88, 63, 40)(24, 43, 68, 95, 115, 98, 71, 44)(32, 50, 73, 96, 112, 105, 81, 55)(35, 51, 74, 97, 113, 106, 84, 58)(41, 64, 89, 109, 122, 110, 90, 65)(42, 66, 91, 111, 123, 114, 94, 67)(54, 77, 100, 116, 124, 120, 104, 80)(59, 78, 101, 117, 125, 121, 107, 85)(79, 102, 118, 126, 128, 127, 119, 103)
	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, 42)(25, 46)(26, 47)(27, 50)(30, 51)(31, 54)(36, 59)(37, 55)(38, 58)(39, 56)(40, 57)(43, 69)(44, 70)(45, 73)(48, 74)(49, 77)(52, 78)(53, 79)(60, 80)(61, 85)(62, 81)(63, 84)(64, 82)(65, 83)(66, 92)(67, 93)(68, 96)(71, 97)(72, 100)(75, 101)(76, 102)(86, 103)(87, 104)(88, 107)(89, 105)(90, 106)(91, 112)(94, 113)(95, 116)(98, 117)(99, 118)(108, 119)(109, 120)(110, 121)(111, 124)(114, 125)(115, 126)(122, 127)(123, 128)
	local type(s) :: { ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2797
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 64 f = 8
	degree seq :: [ 8^16 ]

E21.2799 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^8, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, T1 * T2^-3 * T1 * T2^-3 * T1 * T2^3 * T1 * T2^3 ]
Map:: polytopal
	R = (1, 3, 8, 18, 36, 22, 10, 4)(2, 5, 12, 26, 47, 30, 14, 6)(7, 15, 31, 53, 79, 54, 32, 16)(9, 19, 37, 60, 86, 61, 38, 20)(11, 23, 42, 66, 91, 67, 43, 24)(13, 27, 48, 73, 98, 74, 49, 28)(17, 33, 55, 80, 103, 81, 56, 34)(21, 39, 62, 87, 108, 88, 63, 40)(25, 44, 68, 92, 111, 93, 69, 45)(29, 50, 75, 99, 116, 100, 76, 51)(35, 57, 82, 104, 119, 105, 83, 58)(41, 64, 89, 109, 122, 110, 90, 65)(46, 70, 94, 112, 123, 113, 95, 71)(52, 77, 101, 117, 126, 118, 102, 78)(59, 84, 106, 120, 127, 121, 107, 85)(72, 96, 114, 124, 128, 125, 115, 97)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 151)(144, 155)(146, 163)(147, 152)(148, 156)(150, 169)(154, 174)(158, 180)(159, 172)(160, 178)(161, 170)(162, 176)(164, 187)(165, 173)(166, 179)(167, 171)(168, 177)(175, 200)(181, 198)(182, 205)(183, 196)(184, 203)(185, 194)(186, 201)(188, 199)(189, 206)(190, 197)(191, 204)(192, 195)(193, 202)(207, 224)(208, 222)(209, 229)(210, 220)(211, 227)(212, 219)(213, 226)(214, 225)(215, 223)(216, 230)(217, 221)(218, 228)(231, 242)(232, 240)(233, 245)(234, 239)(235, 244)(236, 243)(237, 241)(238, 246)(247, 252)(248, 251)(249, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 32, 32 ), ( 32^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2803
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 8
	degree seq :: [ 2^64, 8^16 ]

E21.2800 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-1 * T2^-3 * T1^-1 * T2, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1, T1^8, T1^-1 * T2^-1 * T1^3 * T2^-2 * T1^3 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^13 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 77, 103, 120, 128, 116, 98, 67, 44, 21, 15, 5)(2, 7, 19, 11, 27, 49, 79, 104, 122, 126, 117, 93, 68, 39, 22, 8)(4, 12, 26, 50, 78, 105, 121, 125, 118, 97, 72, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 52, 80, 107, 123, 127, 112, 94, 63, 40, 18)(13, 30, 51, 81, 106, 111, 124, 115, 100, 71, 58, 32, 47, 23, 46, 29)(16, 35, 61, 38, 65, 42, 69, 53, 83, 108, 119, 109, 113, 89, 64, 36)(31, 56, 82, 88, 110, 92, 114, 96, 86, 57, 75, 45, 74, 54, 76, 55)(34, 59, 87, 62, 91, 66, 95, 70, 99, 73, 101, 84, 102, 85, 90, 60)(129, 130, 134, 144, 162, 159, 141, 132)(131, 137, 151, 173, 201, 181, 156, 139)(133, 142, 160, 185, 198, 170, 148, 135)(136, 149, 171, 199, 224, 194, 166, 145)(138, 147, 165, 189, 215, 210, 179, 154)(140, 157, 182, 212, 236, 208, 177, 153)(143, 150, 168, 192, 218, 204, 174, 152)(146, 167, 195, 225, 243, 220, 190, 163)(155, 169, 193, 219, 238, 234, 206, 176)(158, 183, 213, 237, 251, 232, 205, 178)(161, 172, 196, 222, 241, 230, 202, 175)(164, 191, 221, 244, 253, 239, 216, 187)(180, 197, 223, 242, 252, 249, 231, 207)(184, 188, 217, 240, 254, 248, 233, 209)(186, 200, 226, 245, 255, 247, 229, 203)(211, 227, 214, 228, 246, 256, 250, 235)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2804
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 128 f = 64
	degree seq :: [ 8^16, 16^8 ]

E21.2801 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 16})
Quotient :: edge
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, (T2 * T1^-1)^8, T1^16 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 78)(59, 79)(60, 80)(64, 81)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 97)(83, 104)(84, 105)(85, 106)(86, 107)(88, 109)(90, 111)(92, 113)(98, 117)(99, 118)(100, 112)(101, 114)(102, 119)(103, 120)(108, 122)(110, 124)(115, 126)(116, 125)(121, 127)(123, 128)(129, 130, 133, 139, 148, 160, 175, 193, 214, 213, 192, 174, 159, 147, 138, 132)(131, 135, 140, 150, 161, 177, 194, 216, 235, 231, 209, 188, 171, 156, 145, 136)(134, 141, 149, 162, 176, 195, 215, 236, 234, 212, 191, 173, 158, 146, 137, 142)(143, 153, 163, 179, 196, 218, 237, 251, 248, 230, 208, 187, 170, 155, 144, 154)(151, 164, 178, 197, 217, 238, 250, 249, 233, 211, 190, 172, 157, 166, 152, 165)(167, 183, 198, 220, 239, 253, 256, 254, 247, 229, 207, 186, 169, 185, 168, 184)(180, 199, 219, 240, 252, 246, 255, 245, 232, 210, 189, 202, 182, 201, 181, 200)(203, 225, 241, 224, 244, 223, 243, 222, 242, 221, 206, 228, 205, 227, 204, 226)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^16 ) }
Outer automorphisms :: reflexible
Dual of E21.2802
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 128 f = 16
	degree seq :: [ 2^64, 16^8 ]

E21.2802 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, T2^8, T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, T1 * T2^-3 * T1 * T2^-3 * T1 * T2^3 * T1 * T2^3 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 36, 164, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 47, 175, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 31, 159, 53, 181, 79, 207, 54, 182, 32, 160, 16, 144)(9, 137, 19, 147, 37, 165, 60, 188, 86, 214, 61, 189, 38, 166, 20, 148)(11, 139, 23, 151, 42, 170, 66, 194, 91, 219, 67, 195, 43, 171, 24, 152)(13, 141, 27, 155, 48, 176, 73, 201, 98, 226, 74, 202, 49, 177, 28, 156)(17, 145, 33, 161, 55, 183, 80, 208, 103, 231, 81, 209, 56, 184, 34, 162)(21, 149, 39, 167, 62, 190, 87, 215, 108, 236, 88, 216, 63, 191, 40, 168)(25, 153, 44, 172, 68, 196, 92, 220, 111, 239, 93, 221, 69, 197, 45, 173)(29, 157, 50, 178, 75, 203, 99, 227, 116, 244, 100, 228, 76, 204, 51, 179)(35, 163, 57, 185, 82, 210, 104, 232, 119, 247, 105, 233, 83, 211, 58, 186)(41, 169, 64, 192, 89, 217, 109, 237, 122, 250, 110, 238, 90, 218, 65, 193)(46, 174, 70, 198, 94, 222, 112, 240, 123, 251, 113, 241, 95, 223, 71, 199)(52, 180, 77, 205, 101, 229, 117, 245, 126, 254, 118, 246, 102, 230, 78, 206)(59, 187, 84, 212, 106, 234, 120, 248, 127, 255, 121, 249, 107, 235, 85, 213)(72, 200, 96, 224, 114, 242, 124, 252, 128, 256, 125, 253, 115, 243, 97, 225)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 155)(17, 136)(18, 163)(19, 152)(20, 156)(21, 138)(22, 169)(23, 143)(24, 147)(25, 140)(26, 174)(27, 144)(28, 148)(29, 142)(30, 180)(31, 172)(32, 178)(33, 170)(34, 176)(35, 146)(36, 187)(37, 173)(38, 179)(39, 171)(40, 177)(41, 150)(42, 161)(43, 167)(44, 159)(45, 165)(46, 154)(47, 200)(48, 162)(49, 168)(50, 160)(51, 166)(52, 158)(53, 198)(54, 205)(55, 196)(56, 203)(57, 194)(58, 201)(59, 164)(60, 199)(61, 206)(62, 197)(63, 204)(64, 195)(65, 202)(66, 185)(67, 192)(68, 183)(69, 190)(70, 181)(71, 188)(72, 175)(73, 186)(74, 193)(75, 184)(76, 191)(77, 182)(78, 189)(79, 224)(80, 222)(81, 229)(82, 220)(83, 227)(84, 219)(85, 226)(86, 225)(87, 223)(88, 230)(89, 221)(90, 228)(91, 212)(92, 210)(93, 217)(94, 208)(95, 215)(96, 207)(97, 214)(98, 213)(99, 211)(100, 218)(101, 209)(102, 216)(103, 242)(104, 240)(105, 245)(106, 239)(107, 244)(108, 243)(109, 241)(110, 246)(111, 234)(112, 232)(113, 237)(114, 231)(115, 236)(116, 235)(117, 233)(118, 238)(119, 252)(120, 251)(121, 254)(122, 253)(123, 248)(124, 247)(125, 250)(126, 249)(127, 256)(128, 255)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2801
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 72
	degree seq :: [ 16^16 ]

E21.2803 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-1 * T2^-3 * T1^-1 * T2, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1, T1^8, T1^-1 * T2^-1 * T1^3 * T2^-2 * T1^3 * T2^-1 * T1^-1, T1^-1 * T2 * T1^-1 * T2^13 ]
Map::
	R = (1, 129, 3, 131, 10, 138, 25, 153, 48, 176, 77, 205, 103, 231, 120, 248, 128, 256, 116, 244, 98, 226, 67, 195, 44, 172, 21, 149, 15, 143, 5, 133)(2, 130, 7, 135, 19, 147, 11, 139, 27, 155, 49, 177, 79, 207, 104, 232, 122, 250, 126, 254, 117, 245, 93, 221, 68, 196, 39, 167, 22, 150, 8, 136)(4, 132, 12, 140, 26, 154, 50, 178, 78, 206, 105, 233, 121, 249, 125, 253, 118, 246, 97, 225, 72, 200, 43, 171, 33, 161, 14, 142, 24, 152, 9, 137)(6, 134, 17, 145, 37, 165, 20, 148, 41, 169, 28, 156, 52, 180, 80, 208, 107, 235, 123, 251, 127, 255, 112, 240, 94, 222, 63, 191, 40, 168, 18, 146)(13, 141, 30, 158, 51, 179, 81, 209, 106, 234, 111, 239, 124, 252, 115, 243, 100, 228, 71, 199, 58, 186, 32, 160, 47, 175, 23, 151, 46, 174, 29, 157)(16, 144, 35, 163, 61, 189, 38, 166, 65, 193, 42, 170, 69, 197, 53, 181, 83, 211, 108, 236, 119, 247, 109, 237, 113, 241, 89, 217, 64, 192, 36, 164)(31, 159, 56, 184, 82, 210, 88, 216, 110, 238, 92, 220, 114, 242, 96, 224, 86, 214, 57, 185, 75, 203, 45, 173, 74, 202, 54, 182, 76, 204, 55, 183)(34, 162, 59, 187, 87, 215, 62, 190, 91, 219, 66, 194, 95, 223, 70, 198, 99, 227, 73, 201, 101, 229, 84, 212, 102, 230, 85, 213, 90, 218, 60, 188)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 144)(7, 133)(8, 149)(9, 151)(10, 147)(11, 131)(12, 157)(13, 132)(14, 160)(15, 150)(16, 162)(17, 136)(18, 167)(19, 165)(20, 135)(21, 171)(22, 168)(23, 173)(24, 143)(25, 140)(26, 138)(27, 169)(28, 139)(29, 182)(30, 183)(31, 141)(32, 185)(33, 172)(34, 159)(35, 146)(36, 191)(37, 189)(38, 145)(39, 195)(40, 192)(41, 193)(42, 148)(43, 199)(44, 196)(45, 201)(46, 152)(47, 161)(48, 155)(49, 153)(50, 158)(51, 154)(52, 197)(53, 156)(54, 212)(55, 213)(56, 188)(57, 198)(58, 200)(59, 164)(60, 217)(61, 215)(62, 163)(63, 221)(64, 218)(65, 219)(66, 166)(67, 225)(68, 222)(69, 223)(70, 170)(71, 224)(72, 226)(73, 181)(74, 175)(75, 186)(76, 174)(77, 178)(78, 176)(79, 180)(80, 177)(81, 184)(82, 179)(83, 227)(84, 236)(85, 237)(86, 228)(87, 210)(88, 187)(89, 240)(90, 204)(91, 238)(92, 190)(93, 244)(94, 241)(95, 242)(96, 194)(97, 243)(98, 245)(99, 214)(100, 246)(101, 203)(102, 202)(103, 207)(104, 205)(105, 209)(106, 206)(107, 211)(108, 208)(109, 251)(110, 234)(111, 216)(112, 254)(113, 230)(114, 252)(115, 220)(116, 253)(117, 255)(118, 256)(119, 229)(120, 233)(121, 231)(122, 235)(123, 232)(124, 249)(125, 239)(126, 248)(127, 247)(128, 250)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2799
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 128 f = 80
	degree seq :: [ 32^8 ]

E21.2804 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 16})
Quotient :: loop
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, (T2 * T1^-1)^8, T1^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 15, 143)(8, 136, 16, 144)(10, 138, 17, 145)(11, 139, 21, 149)(13, 141, 23, 151)(14, 142, 24, 152)(18, 146, 29, 157)(19, 147, 30, 158)(20, 148, 33, 161)(22, 150, 35, 163)(25, 153, 39, 167)(26, 154, 40, 168)(27, 155, 41, 169)(28, 156, 42, 170)(31, 159, 43, 171)(32, 160, 48, 176)(34, 162, 50, 178)(36, 164, 52, 180)(37, 165, 53, 181)(38, 166, 54, 182)(44, 172, 61, 189)(45, 173, 62, 190)(46, 174, 63, 191)(47, 175, 66, 194)(49, 177, 68, 196)(51, 179, 70, 198)(55, 183, 75, 203)(56, 184, 76, 204)(57, 185, 77, 205)(58, 186, 78, 206)(59, 187, 79, 207)(60, 188, 80, 208)(64, 192, 81, 209)(65, 193, 87, 215)(67, 195, 89, 217)(69, 197, 91, 219)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 96, 224)(82, 210, 97, 225)(83, 211, 104, 232)(84, 212, 105, 233)(85, 213, 106, 234)(86, 214, 107, 235)(88, 216, 109, 237)(90, 218, 111, 239)(92, 220, 113, 241)(98, 226, 117, 245)(99, 227, 118, 246)(100, 228, 112, 240)(101, 229, 114, 242)(102, 230, 119, 247)(103, 231, 120, 248)(108, 236, 122, 250)(110, 238, 124, 252)(115, 243, 126, 254)(116, 244, 125, 253)(121, 249, 127, 255)(123, 251, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 140)(8, 131)(9, 142)(10, 132)(11, 148)(12, 150)(13, 149)(14, 134)(15, 153)(16, 154)(17, 136)(18, 137)(19, 138)(20, 160)(21, 162)(22, 161)(23, 164)(24, 165)(25, 163)(26, 143)(27, 144)(28, 145)(29, 166)(30, 146)(31, 147)(32, 175)(33, 177)(34, 176)(35, 179)(36, 178)(37, 151)(38, 152)(39, 183)(40, 184)(41, 185)(42, 155)(43, 156)(44, 157)(45, 158)(46, 159)(47, 193)(48, 195)(49, 194)(50, 197)(51, 196)(52, 199)(53, 200)(54, 201)(55, 198)(56, 167)(57, 168)(58, 169)(59, 170)(60, 171)(61, 202)(62, 172)(63, 173)(64, 174)(65, 214)(66, 216)(67, 215)(68, 218)(69, 217)(70, 220)(71, 219)(72, 180)(73, 181)(74, 182)(75, 225)(76, 226)(77, 227)(78, 228)(79, 186)(80, 187)(81, 188)(82, 189)(83, 190)(84, 191)(85, 192)(86, 213)(87, 236)(88, 235)(89, 238)(90, 237)(91, 240)(92, 239)(93, 206)(94, 242)(95, 243)(96, 244)(97, 241)(98, 203)(99, 204)(100, 205)(101, 207)(102, 208)(103, 209)(104, 210)(105, 211)(106, 212)(107, 231)(108, 234)(109, 251)(110, 250)(111, 253)(112, 252)(113, 224)(114, 221)(115, 222)(116, 223)(117, 232)(118, 255)(119, 229)(120, 230)(121, 233)(122, 249)(123, 248)(124, 246)(125, 256)(126, 247)(127, 245)(128, 254)
	local type(s) :: { ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2800
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 24
	degree seq :: [ 4^64 ]

E21.2805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, Y2^3 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 23, 151)(16, 144, 27, 155)(18, 146, 35, 163)(19, 147, 24, 152)(20, 148, 28, 156)(22, 150, 41, 169)(26, 154, 46, 174)(30, 158, 52, 180)(31, 159, 44, 172)(32, 160, 50, 178)(33, 161, 42, 170)(34, 162, 48, 176)(36, 164, 59, 187)(37, 165, 45, 173)(38, 166, 51, 179)(39, 167, 43, 171)(40, 168, 49, 177)(47, 175, 72, 200)(53, 181, 70, 198)(54, 182, 77, 205)(55, 183, 68, 196)(56, 184, 75, 203)(57, 185, 66, 194)(58, 186, 73, 201)(60, 188, 71, 199)(61, 189, 78, 206)(62, 190, 69, 197)(63, 191, 76, 204)(64, 192, 67, 195)(65, 193, 74, 202)(79, 207, 96, 224)(80, 208, 94, 222)(81, 209, 101, 229)(82, 210, 92, 220)(83, 211, 99, 227)(84, 212, 91, 219)(85, 213, 98, 226)(86, 214, 97, 225)(87, 215, 95, 223)(88, 216, 102, 230)(89, 217, 93, 221)(90, 218, 100, 228)(103, 231, 114, 242)(104, 232, 112, 240)(105, 233, 117, 245)(106, 234, 111, 239)(107, 235, 116, 244)(108, 236, 115, 243)(109, 237, 113, 241)(110, 238, 118, 246)(119, 247, 124, 252)(120, 248, 123, 251)(121, 249, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 292, 420, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 303, 431, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 287, 415, 309, 437, 335, 463, 310, 438, 288, 416, 272, 400)(265, 393, 275, 403, 293, 421, 316, 444, 342, 470, 317, 445, 294, 422, 276, 404)(267, 395, 279, 407, 298, 426, 322, 450, 347, 475, 323, 451, 299, 427, 280, 408)(269, 397, 283, 411, 304, 432, 329, 457, 354, 482, 330, 458, 305, 433, 284, 412)(273, 401, 289, 417, 311, 439, 336, 464, 359, 487, 337, 465, 312, 440, 290, 418)(277, 405, 295, 423, 318, 446, 343, 471, 364, 492, 344, 472, 319, 447, 296, 424)(281, 409, 300, 428, 324, 452, 348, 476, 367, 495, 349, 477, 325, 453, 301, 429)(285, 413, 306, 434, 331, 459, 355, 483, 372, 500, 356, 484, 332, 460, 307, 435)(291, 419, 313, 441, 338, 466, 360, 488, 375, 503, 361, 489, 339, 467, 314, 442)(297, 425, 320, 448, 345, 473, 365, 493, 378, 506, 366, 494, 346, 474, 321, 449)(302, 430, 326, 454, 350, 478, 368, 496, 379, 507, 369, 497, 351, 479, 327, 455)(308, 436, 333, 461, 357, 485, 373, 501, 382, 510, 374, 502, 358, 486, 334, 462)(315, 443, 340, 468, 362, 490, 376, 504, 383, 511, 377, 505, 363, 491, 341, 469)(328, 456, 352, 480, 370, 498, 380, 508, 384, 512, 381, 509, 371, 499, 353, 481)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 279)(16, 283)(17, 264)(18, 291)(19, 280)(20, 284)(21, 266)(22, 297)(23, 271)(24, 275)(25, 268)(26, 302)(27, 272)(28, 276)(29, 270)(30, 308)(31, 300)(32, 306)(33, 298)(34, 304)(35, 274)(36, 315)(37, 301)(38, 307)(39, 299)(40, 305)(41, 278)(42, 289)(43, 295)(44, 287)(45, 293)(46, 282)(47, 328)(48, 290)(49, 296)(50, 288)(51, 294)(52, 286)(53, 326)(54, 333)(55, 324)(56, 331)(57, 322)(58, 329)(59, 292)(60, 327)(61, 334)(62, 325)(63, 332)(64, 323)(65, 330)(66, 313)(67, 320)(68, 311)(69, 318)(70, 309)(71, 316)(72, 303)(73, 314)(74, 321)(75, 312)(76, 319)(77, 310)(78, 317)(79, 352)(80, 350)(81, 357)(82, 348)(83, 355)(84, 347)(85, 354)(86, 353)(87, 351)(88, 358)(89, 349)(90, 356)(91, 340)(92, 338)(93, 345)(94, 336)(95, 343)(96, 335)(97, 342)(98, 341)(99, 339)(100, 346)(101, 337)(102, 344)(103, 370)(104, 368)(105, 373)(106, 367)(107, 372)(108, 371)(109, 369)(110, 374)(111, 362)(112, 360)(113, 365)(114, 359)(115, 364)(116, 363)(117, 361)(118, 366)(119, 380)(120, 379)(121, 382)(122, 381)(123, 376)(124, 375)(125, 378)(126, 377)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 E21.2808
Graph:: bipartite
	v = 80 e = 256 f = 136
	degree seq :: [ 4^64, 16^16 ]

E21.2806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^8, Y1^-1 * Y2^-1 * Y1^3 * Y2^-2 * Y1^3 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^13 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 34, 162, 31, 159, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 45, 173, 73, 201, 53, 181, 28, 156, 11, 139)(5, 133, 14, 142, 32, 160, 57, 185, 70, 198, 42, 170, 20, 148, 7, 135)(8, 136, 21, 149, 43, 171, 71, 199, 96, 224, 66, 194, 38, 166, 17, 145)(10, 138, 19, 147, 37, 165, 61, 189, 87, 215, 82, 210, 51, 179, 26, 154)(12, 140, 29, 157, 54, 182, 84, 212, 108, 236, 80, 208, 49, 177, 25, 153)(15, 143, 22, 150, 40, 168, 64, 192, 90, 218, 76, 204, 46, 174, 24, 152)(18, 146, 39, 167, 67, 195, 97, 225, 115, 243, 92, 220, 62, 190, 35, 163)(27, 155, 41, 169, 65, 193, 91, 219, 110, 238, 106, 234, 78, 206, 48, 176)(30, 158, 55, 183, 85, 213, 109, 237, 123, 251, 104, 232, 77, 205, 50, 178)(33, 161, 44, 172, 68, 196, 94, 222, 113, 241, 102, 230, 74, 202, 47, 175)(36, 164, 63, 191, 93, 221, 116, 244, 125, 253, 111, 239, 88, 216, 59, 187)(52, 180, 69, 197, 95, 223, 114, 242, 124, 252, 121, 249, 103, 231, 79, 207)(56, 184, 60, 188, 89, 217, 112, 240, 126, 254, 120, 248, 105, 233, 81, 209)(58, 186, 72, 200, 98, 226, 117, 245, 127, 255, 119, 247, 101, 229, 75, 203)(83, 211, 99, 227, 86, 214, 100, 228, 118, 246, 128, 256, 122, 250, 107, 235)(257, 385, 259, 387, 266, 394, 281, 409, 304, 432, 333, 461, 359, 487, 376, 504, 384, 512, 372, 500, 354, 482, 323, 451, 300, 428, 277, 405, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 267, 395, 283, 411, 305, 433, 335, 463, 360, 488, 378, 506, 382, 510, 373, 501, 349, 477, 324, 452, 295, 423, 278, 406, 264, 392)(260, 388, 268, 396, 282, 410, 306, 434, 334, 462, 361, 489, 377, 505, 381, 509, 374, 502, 353, 481, 328, 456, 299, 427, 289, 417, 270, 398, 280, 408, 265, 393)(262, 390, 273, 401, 293, 421, 276, 404, 297, 425, 284, 412, 308, 436, 336, 464, 363, 491, 379, 507, 383, 511, 368, 496, 350, 478, 319, 447, 296, 424, 274, 402)(269, 397, 286, 414, 307, 435, 337, 465, 362, 490, 367, 495, 380, 508, 371, 499, 356, 484, 327, 455, 314, 442, 288, 416, 303, 431, 279, 407, 302, 430, 285, 413)(272, 400, 291, 419, 317, 445, 294, 422, 321, 449, 298, 426, 325, 453, 309, 437, 339, 467, 364, 492, 375, 503, 365, 493, 369, 497, 345, 473, 320, 448, 292, 420)(287, 415, 312, 440, 338, 466, 344, 472, 366, 494, 348, 476, 370, 498, 352, 480, 342, 470, 313, 441, 331, 459, 301, 429, 330, 458, 310, 438, 332, 460, 311, 439)(290, 418, 315, 443, 343, 471, 318, 446, 347, 475, 322, 450, 351, 479, 326, 454, 355, 483, 329, 457, 357, 485, 340, 468, 358, 486, 341, 469, 346, 474, 316, 444)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 281)(11, 283)(12, 282)(13, 286)(14, 280)(15, 261)(16, 291)(17, 293)(18, 262)(19, 267)(20, 297)(21, 271)(22, 264)(23, 302)(24, 265)(25, 304)(26, 306)(27, 305)(28, 308)(29, 269)(30, 307)(31, 312)(32, 303)(33, 270)(34, 315)(35, 317)(36, 272)(37, 276)(38, 321)(39, 278)(40, 274)(41, 284)(42, 325)(43, 289)(44, 277)(45, 330)(46, 285)(47, 279)(48, 333)(49, 335)(50, 334)(51, 337)(52, 336)(53, 339)(54, 332)(55, 287)(56, 338)(57, 331)(58, 288)(59, 343)(60, 290)(61, 294)(62, 347)(63, 296)(64, 292)(65, 298)(66, 351)(67, 300)(68, 295)(69, 309)(70, 355)(71, 314)(72, 299)(73, 357)(74, 310)(75, 301)(76, 311)(77, 359)(78, 361)(79, 360)(80, 363)(81, 362)(82, 344)(83, 364)(84, 358)(85, 346)(86, 313)(87, 318)(88, 366)(89, 320)(90, 316)(91, 322)(92, 370)(93, 324)(94, 319)(95, 326)(96, 342)(97, 328)(98, 323)(99, 329)(100, 327)(101, 340)(102, 341)(103, 376)(104, 378)(105, 377)(106, 367)(107, 379)(108, 375)(109, 369)(110, 348)(111, 380)(112, 350)(113, 345)(114, 352)(115, 356)(116, 354)(117, 349)(118, 353)(119, 365)(120, 384)(121, 381)(122, 382)(123, 383)(124, 371)(125, 374)(126, 373)(127, 368)(128, 372)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2807
Graph:: bipartite
	v = 24 e = 256 f = 192
	degree seq :: [ 16^16, 32^8 ]

E21.2807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2, (Y3 * Y2)^8, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 268, 396)(266, 394, 270, 398)(271, 399, 281, 409)(272, 400, 283, 411)(273, 401, 282, 410)(274, 402, 285, 413)(275, 403, 286, 414)(276, 404, 288, 416)(277, 405, 290, 418)(278, 406, 289, 417)(279, 407, 292, 420)(280, 408, 293, 421)(284, 412, 291, 419)(287, 415, 294, 422)(295, 423, 311, 439)(296, 424, 313, 441)(297, 425, 312, 440)(298, 426, 315, 443)(299, 427, 314, 442)(300, 428, 317, 445)(301, 429, 318, 446)(302, 430, 319, 447)(303, 431, 321, 449)(304, 432, 323, 451)(305, 433, 322, 450)(306, 434, 325, 453)(307, 435, 324, 452)(308, 436, 327, 455)(309, 437, 328, 456)(310, 438, 329, 457)(316, 444, 326, 454)(320, 448, 330, 458)(331, 459, 349, 477)(332, 460, 354, 482)(333, 461, 353, 481)(334, 462, 356, 484)(335, 463, 355, 483)(336, 464, 358, 486)(337, 465, 357, 485)(338, 466, 342, 470)(339, 467, 360, 488)(340, 468, 361, 489)(341, 469, 362, 490)(343, 471, 364, 492)(344, 472, 363, 491)(345, 473, 366, 494)(346, 474, 365, 493)(347, 475, 368, 496)(348, 476, 367, 495)(350, 478, 370, 498)(351, 479, 371, 499)(352, 480, 372, 500)(359, 487, 369, 497)(373, 501, 382, 510)(374, 502, 380, 508)(375, 503, 379, 507)(376, 504, 383, 511)(377, 505, 378, 506)(381, 509, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 273)(9, 272)(10, 260)(11, 276)(12, 278)(13, 277)(14, 262)(15, 282)(16, 263)(17, 284)(18, 265)(19, 266)(20, 289)(21, 267)(22, 291)(23, 269)(24, 270)(25, 295)(26, 297)(27, 296)(28, 299)(29, 298)(30, 274)(31, 275)(32, 303)(33, 305)(34, 304)(35, 307)(36, 306)(37, 279)(38, 280)(39, 312)(40, 281)(41, 314)(42, 283)(43, 316)(44, 285)(45, 286)(46, 287)(47, 322)(48, 288)(49, 324)(50, 290)(51, 326)(52, 292)(53, 293)(54, 294)(55, 331)(56, 333)(57, 332)(58, 335)(59, 334)(60, 337)(61, 336)(62, 300)(63, 301)(64, 302)(65, 342)(66, 344)(67, 343)(68, 346)(69, 345)(70, 348)(71, 347)(72, 308)(73, 309)(74, 310)(75, 353)(76, 311)(77, 355)(78, 313)(79, 357)(80, 315)(81, 359)(82, 317)(83, 318)(84, 319)(85, 320)(86, 363)(87, 321)(88, 365)(89, 323)(90, 367)(91, 325)(92, 369)(93, 327)(94, 328)(95, 329)(96, 330)(97, 368)(98, 370)(99, 374)(100, 373)(101, 376)(102, 375)(103, 341)(104, 338)(105, 339)(106, 340)(107, 358)(108, 360)(109, 379)(110, 378)(111, 381)(112, 380)(113, 352)(114, 349)(115, 350)(116, 351)(117, 354)(118, 383)(119, 356)(120, 362)(121, 361)(122, 364)(123, 384)(124, 366)(125, 372)(126, 371)(127, 377)(128, 382)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 32 ), ( 16, 32, 16, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2806
Graph:: simple bipartite
	v = 192 e = 256 f = 24
	degree seq :: [ 2^128, 4^64 ]

E21.2808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, (Y3^-1 * Y1^-1)^8, Y1^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 20, 148, 32, 160, 47, 175, 65, 193, 86, 214, 85, 213, 64, 192, 46, 174, 31, 159, 19, 147, 10, 138, 4, 132)(3, 131, 7, 135, 12, 140, 22, 150, 33, 161, 49, 177, 66, 194, 88, 216, 107, 235, 103, 231, 81, 209, 60, 188, 43, 171, 28, 156, 17, 145, 8, 136)(6, 134, 13, 141, 21, 149, 34, 162, 48, 176, 67, 195, 87, 215, 108, 236, 106, 234, 84, 212, 63, 191, 45, 173, 30, 158, 18, 146, 9, 137, 14, 142)(15, 143, 25, 153, 35, 163, 51, 179, 68, 196, 90, 218, 109, 237, 123, 251, 120, 248, 102, 230, 80, 208, 59, 187, 42, 170, 27, 155, 16, 144, 26, 154)(23, 151, 36, 164, 50, 178, 69, 197, 89, 217, 110, 238, 122, 250, 121, 249, 105, 233, 83, 211, 62, 190, 44, 172, 29, 157, 38, 166, 24, 152, 37, 165)(39, 167, 55, 183, 70, 198, 92, 220, 111, 239, 125, 253, 128, 256, 126, 254, 119, 247, 101, 229, 79, 207, 58, 186, 41, 169, 57, 185, 40, 168, 56, 184)(52, 180, 71, 199, 91, 219, 112, 240, 124, 252, 118, 246, 127, 255, 117, 245, 104, 232, 82, 210, 61, 189, 74, 202, 54, 182, 73, 201, 53, 181, 72, 200)(75, 203, 97, 225, 113, 241, 96, 224, 116, 244, 95, 223, 115, 243, 94, 222, 114, 242, 93, 221, 78, 206, 100, 228, 77, 205, 99, 227, 76, 204, 98, 226)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 271)(8, 272)(9, 260)(10, 273)(11, 277)(12, 261)(13, 279)(14, 280)(15, 263)(16, 264)(17, 266)(18, 285)(19, 286)(20, 289)(21, 267)(22, 291)(23, 269)(24, 270)(25, 295)(26, 296)(27, 297)(28, 298)(29, 274)(30, 275)(31, 299)(32, 304)(33, 276)(34, 306)(35, 278)(36, 308)(37, 309)(38, 310)(39, 281)(40, 282)(41, 283)(42, 284)(43, 287)(44, 317)(45, 318)(46, 319)(47, 322)(48, 288)(49, 324)(50, 290)(51, 326)(52, 292)(53, 293)(54, 294)(55, 331)(56, 332)(57, 333)(58, 334)(59, 335)(60, 336)(61, 300)(62, 301)(63, 302)(64, 337)(65, 343)(66, 303)(67, 345)(68, 305)(69, 347)(70, 307)(71, 349)(72, 350)(73, 351)(74, 352)(75, 311)(76, 312)(77, 313)(78, 314)(79, 315)(80, 316)(81, 320)(82, 353)(83, 360)(84, 361)(85, 362)(86, 363)(87, 321)(88, 365)(89, 323)(90, 367)(91, 325)(92, 369)(93, 327)(94, 328)(95, 329)(96, 330)(97, 338)(98, 373)(99, 374)(100, 368)(101, 370)(102, 375)(103, 376)(104, 339)(105, 340)(106, 341)(107, 342)(108, 378)(109, 344)(110, 380)(111, 346)(112, 356)(113, 348)(114, 357)(115, 382)(116, 381)(117, 354)(118, 355)(119, 358)(120, 359)(121, 383)(122, 364)(123, 384)(124, 366)(125, 372)(126, 371)(127, 377)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2805
Graph:: simple bipartite
	v = 136 e = 256 f = 80
	degree seq :: [ 2^128, 32^8 ]

E21.2809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|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, (Y3 * Y2^-1)^8, Y2^16 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 12, 140)(10, 138, 14, 142)(15, 143, 25, 153)(16, 144, 27, 155)(17, 145, 26, 154)(18, 146, 29, 157)(19, 147, 30, 158)(20, 148, 32, 160)(21, 149, 34, 162)(22, 150, 33, 161)(23, 151, 36, 164)(24, 152, 37, 165)(28, 156, 35, 163)(31, 159, 38, 166)(39, 167, 55, 183)(40, 168, 57, 185)(41, 169, 56, 184)(42, 170, 59, 187)(43, 171, 58, 186)(44, 172, 61, 189)(45, 173, 62, 190)(46, 174, 63, 191)(47, 175, 65, 193)(48, 176, 67, 195)(49, 177, 66, 194)(50, 178, 69, 197)(51, 179, 68, 196)(52, 180, 71, 199)(53, 181, 72, 200)(54, 182, 73, 201)(60, 188, 70, 198)(64, 192, 74, 202)(75, 203, 93, 221)(76, 204, 98, 226)(77, 205, 97, 225)(78, 206, 100, 228)(79, 207, 99, 227)(80, 208, 102, 230)(81, 209, 101, 229)(82, 210, 86, 214)(83, 211, 104, 232)(84, 212, 105, 233)(85, 213, 106, 234)(87, 215, 108, 236)(88, 216, 107, 235)(89, 217, 110, 238)(90, 218, 109, 237)(91, 219, 112, 240)(92, 220, 111, 239)(94, 222, 114, 242)(95, 223, 115, 243)(96, 224, 116, 244)(103, 231, 113, 241)(117, 245, 126, 254)(118, 246, 124, 252)(119, 247, 123, 251)(120, 248, 127, 255)(121, 249, 122, 250)(125, 253, 128, 256)(257, 385, 259, 387, 264, 392, 273, 401, 284, 412, 299, 427, 316, 444, 337, 465, 359, 487, 341, 469, 320, 448, 302, 430, 287, 415, 275, 403, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 278, 406, 291, 419, 307, 435, 326, 454, 348, 476, 369, 497, 352, 480, 330, 458, 310, 438, 294, 422, 280, 408, 270, 398, 262, 390)(263, 391, 271, 399, 282, 410, 297, 425, 314, 442, 335, 463, 357, 485, 376, 504, 362, 490, 340, 468, 319, 447, 301, 429, 286, 414, 274, 402, 265, 393, 272, 400)(267, 395, 276, 404, 289, 417, 305, 433, 324, 452, 346, 474, 367, 495, 381, 509, 372, 500, 351, 479, 329, 457, 309, 437, 293, 421, 279, 407, 269, 397, 277, 405)(281, 409, 295, 423, 312, 440, 333, 461, 355, 483, 374, 502, 383, 511, 377, 505, 361, 489, 339, 467, 318, 446, 300, 428, 285, 413, 298, 426, 283, 411, 296, 424)(288, 416, 303, 431, 322, 450, 344, 472, 365, 493, 379, 507, 384, 512, 382, 510, 371, 499, 350, 478, 328, 456, 308, 436, 292, 420, 306, 434, 290, 418, 304, 432)(311, 439, 331, 459, 353, 481, 368, 496, 380, 508, 366, 494, 378, 506, 364, 492, 360, 488, 338, 466, 317, 445, 336, 464, 315, 443, 334, 462, 313, 441, 332, 460)(321, 449, 342, 470, 363, 491, 358, 486, 375, 503, 356, 484, 373, 501, 354, 482, 370, 498, 349, 477, 327, 455, 347, 475, 325, 453, 345, 473, 323, 451, 343, 471)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 268)(9, 260)(10, 270)(11, 261)(12, 264)(13, 262)(14, 266)(15, 281)(16, 283)(17, 282)(18, 285)(19, 286)(20, 288)(21, 290)(22, 289)(23, 292)(24, 293)(25, 271)(26, 273)(27, 272)(28, 291)(29, 274)(30, 275)(31, 294)(32, 276)(33, 278)(34, 277)(35, 284)(36, 279)(37, 280)(38, 287)(39, 311)(40, 313)(41, 312)(42, 315)(43, 314)(44, 317)(45, 318)(46, 319)(47, 321)(48, 323)(49, 322)(50, 325)(51, 324)(52, 327)(53, 328)(54, 329)(55, 295)(56, 297)(57, 296)(58, 299)(59, 298)(60, 326)(61, 300)(62, 301)(63, 302)(64, 330)(65, 303)(66, 305)(67, 304)(68, 307)(69, 306)(70, 316)(71, 308)(72, 309)(73, 310)(74, 320)(75, 349)(76, 354)(77, 353)(78, 356)(79, 355)(80, 358)(81, 357)(82, 342)(83, 360)(84, 361)(85, 362)(86, 338)(87, 364)(88, 363)(89, 366)(90, 365)(91, 368)(92, 367)(93, 331)(94, 370)(95, 371)(96, 372)(97, 333)(98, 332)(99, 335)(100, 334)(101, 337)(102, 336)(103, 369)(104, 339)(105, 340)(106, 341)(107, 344)(108, 343)(109, 346)(110, 345)(111, 348)(112, 347)(113, 359)(114, 350)(115, 351)(116, 352)(117, 382)(118, 380)(119, 379)(120, 383)(121, 378)(122, 377)(123, 375)(124, 374)(125, 384)(126, 373)(127, 376)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2810
Graph:: bipartite
	v = 72 e = 256 f = 144
	degree seq :: [ 4^64, 32^8 ]

E21.2810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 16})
Quotient :: dipole
Aut^+ = (C8 x C8) : C2 (small group id <128, 67>)
Aut   = $<256, 5298>$ (small group id <256, 5298>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-3 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^8, Y1^-1 * Y3^-1 * Y1^3 * Y3^-2 * Y1^3 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 129, 2, 130, 6, 134, 16, 144, 34, 162, 31, 159, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 45, 173, 73, 201, 53, 181, 28, 156, 11, 139)(5, 133, 14, 142, 32, 160, 57, 185, 70, 198, 42, 170, 20, 148, 7, 135)(8, 136, 21, 149, 43, 171, 71, 199, 96, 224, 66, 194, 38, 166, 17, 145)(10, 138, 19, 147, 37, 165, 61, 189, 87, 215, 82, 210, 51, 179, 26, 154)(12, 140, 29, 157, 54, 182, 84, 212, 108, 236, 80, 208, 49, 177, 25, 153)(15, 143, 22, 150, 40, 168, 64, 192, 90, 218, 76, 204, 46, 174, 24, 152)(18, 146, 39, 167, 67, 195, 97, 225, 115, 243, 92, 220, 62, 190, 35, 163)(27, 155, 41, 169, 65, 193, 91, 219, 110, 238, 106, 234, 78, 206, 48, 176)(30, 158, 55, 183, 85, 213, 109, 237, 123, 251, 104, 232, 77, 205, 50, 178)(33, 161, 44, 172, 68, 196, 94, 222, 113, 241, 102, 230, 74, 202, 47, 175)(36, 164, 63, 191, 93, 221, 116, 244, 125, 253, 111, 239, 88, 216, 59, 187)(52, 180, 69, 197, 95, 223, 114, 242, 124, 252, 121, 249, 103, 231, 79, 207)(56, 184, 60, 188, 89, 217, 112, 240, 126, 254, 120, 248, 105, 233, 81, 209)(58, 186, 72, 200, 98, 226, 117, 245, 127, 255, 119, 247, 101, 229, 75, 203)(83, 211, 99, 227, 86, 214, 100, 228, 118, 246, 128, 256, 122, 250, 107, 235)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 281)(11, 283)(12, 282)(13, 286)(14, 280)(15, 261)(16, 291)(17, 293)(18, 262)(19, 267)(20, 297)(21, 271)(22, 264)(23, 302)(24, 265)(25, 304)(26, 306)(27, 305)(28, 308)(29, 269)(30, 307)(31, 312)(32, 303)(33, 270)(34, 315)(35, 317)(36, 272)(37, 276)(38, 321)(39, 278)(40, 274)(41, 284)(42, 325)(43, 289)(44, 277)(45, 330)(46, 285)(47, 279)(48, 333)(49, 335)(50, 334)(51, 337)(52, 336)(53, 339)(54, 332)(55, 287)(56, 338)(57, 331)(58, 288)(59, 343)(60, 290)(61, 294)(62, 347)(63, 296)(64, 292)(65, 298)(66, 351)(67, 300)(68, 295)(69, 309)(70, 355)(71, 314)(72, 299)(73, 357)(74, 310)(75, 301)(76, 311)(77, 359)(78, 361)(79, 360)(80, 363)(81, 362)(82, 344)(83, 364)(84, 358)(85, 346)(86, 313)(87, 318)(88, 366)(89, 320)(90, 316)(91, 322)(92, 370)(93, 324)(94, 319)(95, 326)(96, 342)(97, 328)(98, 323)(99, 329)(100, 327)(101, 340)(102, 341)(103, 376)(104, 378)(105, 377)(106, 367)(107, 379)(108, 375)(109, 369)(110, 348)(111, 380)(112, 350)(113, 345)(114, 352)(115, 356)(116, 354)(117, 349)(118, 353)(119, 365)(120, 384)(121, 381)(122, 382)(123, 383)(124, 371)(125, 374)(126, 373)(127, 368)(128, 372)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.2809
Graph:: simple bipartite
	v = 144 e = 256 f = 72
	degree seq :: [ 2^128, 16^16 ]

E21.2811 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 43})
Quotient :: edge
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = C43 : C3 (small group id <129, 1>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, (X2^-1 * X1)^3, (X1^-1 * X2^-1)^3, X2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^2 * X1^-1, X2^2 * X1 * X2^-1 * X1^-1 * X2^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 28, 30)(12, 31, 22)(15, 35, 36)(17, 39, 41)(21, 45, 46)(23, 49, 44)(25, 53, 55)(27, 57, 51)(29, 60, 62)(32, 64, 65)(33, 67, 42)(34, 59, 70)(37, 73, 74)(38, 76, 48)(40, 79, 81)(43, 83, 63)(47, 87, 88)(50, 90, 86)(52, 92, 75)(54, 71, 95)(56, 97, 94)(58, 99, 100)(61, 103, 104)(66, 107, 108)(68, 109, 82)(69, 102, 111)(72, 101, 114)(77, 116, 106)(78, 117, 89)(80, 85, 119)(84, 122, 105)(91, 118, 125)(93, 115, 124)(96, 121, 112)(98, 127, 128)(110, 123, 120)(113, 129, 126)(130, 132, 138, 154, 183, 171, 147, 160, 186, 226, 250, 211, 170, 205, 193, 228, 256, 249, 210, 246, 245, 236, 232, 251, 248, 217, 254, 258, 231, 189, 212, 175, 215, 253, 230, 188, 157, 149, 173, 204, 166, 144, 134)(131, 135, 146, 169, 209, 192, 159, 142, 162, 197, 239, 234, 191, 199, 164, 200, 241, 257, 233, 240, 243, 202, 182, 223, 229, 237, 255, 222, 181, 153, 180, 194, 235, 220, 179, 152, 137, 151, 177, 218, 176, 150, 136)(133, 140, 158, 190, 187, 156, 139, 148, 172, 213, 227, 185, 155, 178, 174, 214, 252, 225, 184, 221, 219, 216, 208, 238, 224, 203, 244, 247, 207, 168, 196, 165, 201, 242, 206, 167, 145, 143, 163, 198, 195, 161, 141)
	L = (1, 130)(2, 131)(3, 132)(4, 133)(5, 134)(6, 135)(7, 136)(8, 137)(9, 138)(10, 139)(11, 140)(12, 141)(13, 142)(14, 143)(15, 144)(16, 145)(17, 146)(18, 147)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 155)(27, 156)(28, 157)(29, 158)(30, 159)(31, 160)(32, 161)(33, 162)(34, 163)(35, 164)(36, 165)(37, 166)(38, 167)(39, 168)(40, 169)(41, 170)(42, 171)(43, 172)(44, 173)(45, 174)(46, 175)(47, 176)(48, 177)(49, 178)(50, 179)(51, 180)(52, 181)(53, 182)(54, 183)(55, 184)(56, 185)(57, 186)(58, 187)(59, 188)(60, 189)(61, 190)(62, 191)(63, 192)(64, 193)(65, 194)(66, 195)(67, 196)(68, 197)(69, 198)(70, 199)(71, 200)(72, 201)(73, 202)(74, 203)(75, 204)(76, 205)(77, 206)(78, 207)(79, 208)(80, 209)(81, 210)(82, 211)(83, 212)(84, 213)(85, 214)(86, 215)(87, 216)(88, 217)(89, 218)(90, 219)(91, 220)(92, 221)(93, 222)(94, 223)(95, 224)(96, 225)(97, 226)(98, 227)(99, 228)(100, 229)(101, 230)(102, 231)(103, 232)(104, 233)(105, 234)(106, 235)(107, 236)(108, 237)(109, 238)(110, 239)(111, 240)(112, 241)(113, 242)(114, 243)(115, 244)(116, 245)(117, 246)(118, 247)(119, 248)(120, 249)(121, 250)(122, 251)(123, 252)(124, 253)(125, 254)(126, 255)(127, 256)(128, 257)(129, 258)
	local type(s) :: { ( 6^3 ), ( 6^43 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 46 e = 129 f = 43
	degree seq :: [ 3^43, 43^3 ]

E21.2812 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 43})
Quotient :: loop
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = C43 : C3 (small group id <129, 1>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X2^-1 * X1)^3, X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1, X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 131, 4, 133)(3, 132, 8, 137, 9, 138)(5, 134, 12, 141, 13, 142)(6, 135, 14, 143, 15, 144)(7, 136, 16, 145, 17, 146)(10, 139, 21, 150, 22, 151)(11, 140, 23, 152, 24, 153)(18, 147, 33, 162, 34, 163)(19, 148, 26, 155, 35, 164)(20, 149, 36, 165, 37, 166)(25, 154, 42, 171, 43, 172)(27, 156, 44, 173, 45, 174)(28, 157, 46, 175, 47, 176)(29, 158, 31, 160, 48, 177)(30, 159, 49, 178, 50, 179)(32, 161, 51, 180, 52, 181)(38, 167, 59, 188, 60, 189)(39, 168, 40, 169, 61, 190)(41, 170, 62, 191, 63, 192)(53, 182, 76, 205, 77, 206)(54, 183, 56, 185, 78, 207)(55, 184, 79, 208, 80, 209)(57, 186, 66, 195, 81, 210)(58, 187, 82, 211, 83, 212)(64, 193, 90, 219, 91, 220)(65, 194, 92, 221, 93, 222)(67, 196, 94, 223, 95, 224)(68, 197, 96, 225, 97, 226)(69, 198, 71, 200, 98, 227)(70, 199, 99, 228, 100, 229)(72, 201, 74, 203, 101, 230)(73, 202, 102, 231, 103, 232)(75, 204, 104, 233, 105, 234)(84, 213, 113, 242, 114, 243)(85, 214, 86, 215, 115, 244)(87, 216, 88, 217, 116, 245)(89, 218, 106, 235, 108, 237)(107, 236, 121, 250, 125, 254)(109, 238, 111, 240, 126, 255)(110, 239, 127, 256, 117, 246)(112, 241, 119, 248, 122, 251)(118, 247, 129, 258, 120, 249)(123, 252, 124, 253, 128, 257)
	L = (1, 132)(2, 135)(3, 134)(4, 139)(5, 130)(6, 136)(7, 131)(8, 147)(9, 145)(10, 140)(11, 133)(12, 154)(13, 155)(14, 157)(15, 152)(16, 149)(17, 160)(18, 148)(19, 137)(20, 138)(21, 167)(22, 141)(23, 159)(24, 169)(25, 151)(26, 156)(27, 142)(28, 158)(29, 143)(30, 144)(31, 161)(32, 146)(33, 182)(34, 165)(35, 185)(36, 184)(37, 180)(38, 168)(39, 150)(40, 170)(41, 153)(42, 193)(43, 173)(44, 194)(45, 195)(46, 197)(47, 178)(48, 200)(49, 199)(50, 191)(51, 187)(52, 203)(53, 183)(54, 162)(55, 163)(56, 186)(57, 164)(58, 166)(59, 213)(60, 171)(61, 215)(62, 202)(63, 217)(64, 189)(65, 172)(66, 196)(67, 174)(68, 198)(69, 175)(70, 176)(71, 201)(72, 177)(73, 179)(74, 204)(75, 181)(76, 232)(77, 208)(78, 237)(79, 236)(80, 211)(81, 240)(82, 239)(83, 233)(84, 214)(85, 188)(86, 216)(87, 190)(88, 218)(89, 192)(90, 246)(91, 221)(92, 247)(93, 223)(94, 225)(95, 248)(96, 222)(97, 228)(98, 224)(99, 249)(100, 231)(101, 251)(102, 250)(103, 235)(104, 242)(105, 253)(106, 205)(107, 206)(108, 238)(109, 207)(110, 209)(111, 241)(112, 210)(113, 212)(114, 219)(115, 234)(116, 257)(117, 243)(118, 220)(119, 227)(120, 226)(121, 229)(122, 252)(123, 230)(124, 244)(125, 256)(126, 245)(127, 258)(128, 255)(129, 254)
	local type(s) :: { ( 3, 43, 3, 43, 3, 43 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 43 e = 129 f = 46
	degree seq :: [ 6^43 ]

E21.2813 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 43})
Quotient :: loop
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = (C43 : C3) : C2 (small group id <258, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2^-1 * T1)^3, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 6, 7)(4, 10, 11)(8, 18, 19)(9, 16, 20)(12, 25, 22)(13, 26, 27)(14, 28, 29)(15, 23, 30)(17, 31, 32)(21, 38, 39)(24, 40, 41)(33, 53, 54)(34, 36, 55)(35, 56, 57)(37, 51, 58)(42, 64, 60)(43, 44, 65)(45, 66, 67)(46, 68, 69)(47, 49, 70)(48, 71, 72)(50, 62, 73)(52, 74, 75)(59, 84, 85)(61, 86, 87)(63, 88, 89)(76, 103, 106)(77, 79, 107)(78, 108, 109)(80, 82, 110)(81, 111, 112)(83, 104, 113)(90, 117, 114)(91, 92, 118)(93, 94, 96)(95, 119, 98)(97, 99, 120)(100, 102, 121)(101, 122, 123)(105, 124, 115)(116, 128, 126)(125, 127, 129)(130, 131, 133)(132, 137, 138)(134, 141, 142)(135, 143, 144)(136, 145, 146)(139, 150, 151)(140, 152, 153)(147, 162, 163)(148, 155, 164)(149, 165, 166)(154, 171, 172)(156, 173, 174)(157, 175, 176)(158, 160, 177)(159, 178, 179)(161, 180, 181)(167, 188, 189)(168, 169, 190)(170, 191, 192)(182, 205, 206)(183, 185, 207)(184, 208, 209)(186, 195, 210)(187, 211, 212)(193, 219, 220)(194, 221, 222)(196, 223, 224)(197, 225, 226)(198, 200, 227)(199, 228, 229)(201, 203, 230)(202, 231, 232)(204, 233, 234)(213, 242, 243)(214, 215, 244)(216, 217, 245)(218, 235, 237)(236, 250, 254)(238, 240, 255)(239, 256, 246)(241, 248, 251)(247, 258, 249)(252, 253, 257)
	L = (1, 130)(2, 131)(3, 132)(4, 133)(5, 134)(6, 135)(7, 136)(8, 137)(9, 138)(10, 139)(11, 140)(12, 141)(13, 142)(14, 143)(15, 144)(16, 145)(17, 146)(18, 147)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 155)(27, 156)(28, 157)(29, 158)(30, 159)(31, 160)(32, 161)(33, 162)(34, 163)(35, 164)(36, 165)(37, 166)(38, 167)(39, 168)(40, 169)(41, 170)(42, 171)(43, 172)(44, 173)(45, 174)(46, 175)(47, 176)(48, 177)(49, 178)(50, 179)(51, 180)(52, 181)(53, 182)(54, 183)(55, 184)(56, 185)(57, 186)(58, 187)(59, 188)(60, 189)(61, 190)(62, 191)(63, 192)(64, 193)(65, 194)(66, 195)(67, 196)(68, 197)(69, 198)(70, 199)(71, 200)(72, 201)(73, 202)(74, 203)(75, 204)(76, 205)(77, 206)(78, 207)(79, 208)(80, 209)(81, 210)(82, 211)(83, 212)(84, 213)(85, 214)(86, 215)(87, 216)(88, 217)(89, 218)(90, 219)(91, 220)(92, 221)(93, 222)(94, 223)(95, 224)(96, 225)(97, 226)(98, 227)(99, 228)(100, 229)(101, 230)(102, 231)(103, 232)(104, 233)(105, 234)(106, 235)(107, 236)(108, 237)(109, 238)(110, 239)(111, 240)(112, 241)(113, 242)(114, 243)(115, 244)(116, 245)(117, 246)(118, 247)(119, 248)(120, 249)(121, 250)(122, 251)(123, 252)(124, 253)(125, 254)(126, 255)(127, 256)(128, 257)(129, 258)
	local type(s) :: { ( 86^3 ) }
Outer automorphisms :: reflexible
Dual of E21.2814
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 86 e = 129 f = 3
	degree seq :: [ 3^86 ]

E21.2814 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 43})
Quotient :: edge
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = (C43 : C3) : C2 (small group id <258, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1^-1 * T2^-1)^3, (T2^-1 * T1)^3, (T2 * T1)^3, (T1^-1 * T2 * T1 * F)^2, T1^-1 * T2 * T1^-1 * T2^2 * F * T1^-1 * T2^-1 * F, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2^4 ]
Map:: polytopal non-degenerate
	R = (1, 130, 3, 132, 9, 138, 25, 154, 54, 183, 42, 171, 18, 147, 31, 160, 57, 186, 97, 226, 121, 250, 82, 211, 41, 170, 76, 205, 64, 193, 99, 228, 127, 256, 120, 249, 81, 210, 117, 246, 116, 245, 107, 236, 103, 232, 122, 251, 119, 248, 88, 217, 125, 254, 129, 258, 102, 231, 60, 189, 83, 212, 46, 175, 86, 215, 124, 253, 101, 230, 59, 188, 28, 157, 20, 149, 44, 173, 75, 204, 37, 166, 15, 144, 5, 134)(2, 131, 6, 135, 17, 146, 40, 169, 80, 209, 63, 192, 30, 159, 13, 142, 33, 162, 68, 197, 110, 239, 105, 234, 62, 191, 70, 199, 35, 164, 71, 200, 112, 241, 128, 257, 104, 233, 111, 240, 114, 243, 73, 202, 53, 182, 94, 223, 100, 229, 108, 237, 126, 255, 93, 222, 52, 181, 24, 153, 51, 180, 65, 194, 106, 235, 91, 220, 50, 179, 23, 152, 8, 137, 22, 151, 48, 177, 89, 218, 47, 176, 21, 150, 7, 136)(4, 133, 11, 140, 29, 158, 61, 190, 58, 187, 27, 156, 10, 139, 19, 148, 43, 172, 84, 213, 98, 227, 56, 185, 26, 155, 49, 178, 45, 174, 85, 214, 123, 252, 96, 225, 55, 184, 92, 221, 90, 219, 87, 216, 79, 208, 109, 238, 95, 224, 74, 203, 115, 244, 118, 247, 78, 207, 39, 168, 67, 196, 36, 165, 72, 201, 113, 242, 77, 206, 38, 167, 16, 145, 14, 143, 34, 163, 69, 198, 66, 195, 32, 161, 12, 141)
	L = (1, 131)(2, 133)(3, 137)(4, 130)(5, 142)(6, 145)(7, 148)(8, 139)(9, 153)(10, 132)(11, 157)(12, 160)(13, 143)(14, 134)(15, 164)(16, 147)(17, 168)(18, 135)(19, 149)(20, 136)(21, 174)(22, 141)(23, 178)(24, 155)(25, 182)(26, 138)(27, 186)(28, 159)(29, 189)(30, 140)(31, 151)(32, 193)(33, 196)(34, 188)(35, 165)(36, 144)(37, 202)(38, 205)(39, 170)(40, 208)(41, 146)(42, 162)(43, 212)(44, 152)(45, 175)(46, 150)(47, 216)(48, 167)(49, 173)(50, 219)(51, 156)(52, 221)(53, 184)(54, 200)(55, 154)(56, 226)(57, 180)(58, 228)(59, 199)(60, 191)(61, 232)(62, 158)(63, 172)(64, 194)(65, 161)(66, 236)(67, 171)(68, 238)(69, 231)(70, 163)(71, 224)(72, 230)(73, 203)(74, 166)(75, 181)(76, 177)(77, 245)(78, 246)(79, 210)(80, 214)(81, 169)(82, 197)(83, 192)(84, 251)(85, 248)(86, 179)(87, 217)(88, 176)(89, 207)(90, 215)(91, 247)(92, 204)(93, 244)(94, 185)(95, 183)(96, 250)(97, 223)(98, 256)(99, 229)(100, 187)(101, 243)(102, 240)(103, 233)(104, 190)(105, 213)(106, 206)(107, 237)(108, 195)(109, 211)(110, 252)(111, 198)(112, 225)(113, 258)(114, 201)(115, 253)(116, 235)(117, 218)(118, 254)(119, 209)(120, 239)(121, 241)(122, 234)(123, 249)(124, 222)(125, 220)(126, 242)(127, 257)(128, 227)(129, 255)
	local type(s) :: { ( 3^86 ) }
Outer automorphisms :: reflexible
Dual of E21.2813
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 129 f = 86
	degree seq :: [ 86^3 ]

E21.2815 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 43})
Quotient :: edge^2
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = (C43 : C3) : C2 (small group id <258, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1 * Y3^-2, Y3 * Y2 * Y3^-5 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^3 ]
Map:: polytopal non-degenerate
	R = (1, 130, 4, 133, 15, 144, 40, 169, 58, 187, 24, 153, 26, 155, 11, 140, 32, 161, 71, 200, 104, 233, 59, 188, 61, 190, 64, 193, 35, 164, 74, 203, 118, 247, 105, 234, 106, 235, 109, 238, 111, 240, 77, 206, 92, 221, 114, 243, 115, 244, 116, 245, 129, 258, 128, 257, 93, 222, 47, 176, 67, 196, 69, 198, 97, 226, 126, 255, 95, 224, 48, 177, 19, 148, 30, 159, 50, 179, 87, 216, 57, 186, 23, 152, 7, 136)(2, 131, 8, 137, 25, 154, 60, 189, 89, 218, 44, 173, 46, 175, 21, 150, 52, 181, 99, 228, 127, 256, 90, 219, 91, 220, 94, 223, 55, 184, 84, 213, 117, 246, 119, 248, 120, 249, 122, 251, 124, 253, 85, 214, 42, 171, 72, 201, 75, 204, 78, 207, 121, 250, 88, 217, 43, 172, 17, 146, 33, 162, 36, 165, 76, 205, 98, 227, 51, 180, 20, 149, 6, 135, 12, 141, 34, 163, 73, 202, 70, 199, 31, 160, 10, 139)(3, 132, 5, 134, 18, 147, 45, 174, 80, 209, 38, 167, 14, 143, 16, 145, 29, 158, 66, 195, 113, 242, 81, 210, 39, 168, 41, 170, 49, 178, 68, 197, 107, 236, 123, 252, 82, 211, 83, 212, 86, 215, 96, 225, 108, 237, 62, 191, 100, 229, 101, 230, 103, 232, 125, 254, 110, 239, 63, 192, 27, 156, 53, 182, 56, 185, 102, 231, 112, 241, 65, 194, 28, 157, 9, 138, 22, 151, 54, 183, 79, 208, 37, 166, 13, 142)(259, 260, 263)(261, 269, 270)(262, 264, 274)(265, 279, 280)(266, 267, 284)(268, 287, 288)(271, 293, 294)(272, 290, 291)(273, 275, 299)(276, 277, 304)(278, 307, 308)(281, 313, 314)(282, 310, 311)(283, 285, 319)(286, 322, 292)(289, 326, 327)(295, 335, 336)(296, 332, 333)(297, 329, 330)(298, 300, 341)(301, 344, 345)(302, 324, 325)(303, 305, 349)(306, 352, 312)(309, 354, 355)(315, 343, 361)(316, 342, 359)(317, 357, 358)(318, 320, 364)(321, 367, 331)(323, 369, 334)(328, 366, 374)(337, 351, 380)(338, 350, 378)(339, 376, 377)(340, 362, 375)(346, 383, 384)(347, 365, 373)(348, 371, 372)(353, 382, 360)(356, 368, 387)(363, 385, 381)(370, 386, 379)(388, 390, 393)(389, 394, 396)(391, 401, 404)(392, 397, 406)(395, 411, 414)(398, 400, 420)(399, 413, 415)(402, 426, 429)(403, 407, 417)(405, 431, 434)(408, 410, 440)(409, 433, 435)(412, 446, 449)(416, 418, 454)(419, 425, 459)(421, 448, 450)(422, 424, 462)(423, 451, 452)(427, 469, 471)(428, 430, 437)(432, 477, 479)(436, 438, 456)(439, 445, 487)(441, 478, 480)(442, 444, 488)(443, 481, 482)(447, 492, 494)(453, 476, 501)(455, 457, 502)(458, 468, 504)(460, 493, 495)(461, 467, 506)(463, 496, 497)(464, 466, 507)(465, 498, 499)(470, 472, 474)(473, 475, 484)(483, 485, 503)(486, 491, 510)(489, 509, 515)(490, 511, 513)(500, 514, 505)(508, 516, 512)
	L = (1, 259)(2, 260)(3, 261)(4, 262)(5, 263)(6, 264)(7, 265)(8, 266)(9, 267)(10, 268)(11, 269)(12, 270)(13, 271)(14, 272)(15, 273)(16, 274)(17, 275)(18, 276)(19, 277)(20, 278)(21, 279)(22, 280)(23, 281)(24, 282)(25, 283)(26, 284)(27, 285)(28, 286)(29, 287)(30, 288)(31, 289)(32, 290)(33, 291)(34, 292)(35, 293)(36, 294)(37, 295)(38, 296)(39, 297)(40, 298)(41, 299)(42, 300)(43, 301)(44, 302)(45, 303)(46, 304)(47, 305)(48, 306)(49, 307)(50, 308)(51, 309)(52, 310)(53, 311)(54, 312)(55, 313)(56, 314)(57, 315)(58, 316)(59, 317)(60, 318)(61, 319)(62, 320)(63, 321)(64, 322)(65, 323)(66, 324)(67, 325)(68, 326)(69, 327)(70, 328)(71, 329)(72, 330)(73, 331)(74, 332)(75, 333)(76, 334)(77, 335)(78, 336)(79, 337)(80, 338)(81, 339)(82, 340)(83, 341)(84, 342)(85, 343)(86, 344)(87, 345)(88, 346)(89, 347)(90, 348)(91, 349)(92, 350)(93, 351)(94, 352)(95, 353)(96, 354)(97, 355)(98, 356)(99, 357)(100, 358)(101, 359)(102, 360)(103, 361)(104, 362)(105, 363)(106, 364)(107, 365)(108, 366)(109, 367)(110, 368)(111, 369)(112, 370)(113, 371)(114, 372)(115, 373)(116, 374)(117, 375)(118, 376)(119, 377)(120, 378)(121, 379)(122, 380)(123, 381)(124, 382)(125, 383)(126, 384)(127, 385)(128, 386)(129, 387)(130, 388)(131, 389)(132, 390)(133, 391)(134, 392)(135, 393)(136, 394)(137, 395)(138, 396)(139, 397)(140, 398)(141, 399)(142, 400)(143, 401)(144, 402)(145, 403)(146, 404)(147, 405)(148, 406)(149, 407)(150, 408)(151, 409)(152, 410)(153, 411)(154, 412)(155, 413)(156, 414)(157, 415)(158, 416)(159, 417)(160, 418)(161, 419)(162, 420)(163, 421)(164, 422)(165, 423)(166, 424)(167, 425)(168, 426)(169, 427)(170, 428)(171, 429)(172, 430)(173, 431)(174, 432)(175, 433)(176, 434)(177, 435)(178, 436)(179, 437)(180, 438)(181, 439)(182, 440)(183, 441)(184, 442)(185, 443)(186, 444)(187, 445)(188, 446)(189, 447)(190, 448)(191, 449)(192, 450)(193, 451)(194, 452)(195, 453)(196, 454)(197, 455)(198, 456)(199, 457)(200, 458)(201, 459)(202, 460)(203, 461)(204, 462)(205, 463)(206, 464)(207, 465)(208, 466)(209, 467)(210, 468)(211, 469)(212, 470)(213, 471)(214, 472)(215, 473)(216, 474)(217, 475)(218, 476)(219, 477)(220, 478)(221, 479)(222, 480)(223, 481)(224, 482)(225, 483)(226, 484)(227, 485)(228, 486)(229, 487)(230, 488)(231, 489)(232, 490)(233, 491)(234, 492)(235, 493)(236, 494)(237, 495)(238, 496)(239, 497)(240, 498)(241, 499)(242, 500)(243, 501)(244, 502)(245, 503)(246, 504)(247, 505)(248, 506)(249, 507)(250, 508)(251, 509)(252, 510)(253, 511)(254, 512)(255, 513)(256, 514)(257, 515)(258, 516)
	local type(s) :: { ( 4^3 ), ( 4^86 ) }
Outer automorphisms :: reflexible
Dual of E21.2818
Graph:: simple bipartite
	v = 89 e = 258 f = 129
	degree seq :: [ 3^86, 86^3 ]

E21.2816 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 43})
Quotient :: edge^2
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = (C43 : C3) : C2 (small group id <258, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^43 ]
Map:: polytopal
	R = (1, 130)(2, 131)(3, 132)(4, 133)(5, 134)(6, 135)(7, 136)(8, 137)(9, 138)(10, 139)(11, 140)(12, 141)(13, 142)(14, 143)(15, 144)(16, 145)(17, 146)(18, 147)(19, 148)(20, 149)(21, 150)(22, 151)(23, 152)(24, 153)(25, 154)(26, 155)(27, 156)(28, 157)(29, 158)(30, 159)(31, 160)(32, 161)(33, 162)(34, 163)(35, 164)(36, 165)(37, 166)(38, 167)(39, 168)(40, 169)(41, 170)(42, 171)(43, 172)(44, 173)(45, 174)(46, 175)(47, 176)(48, 177)(49, 178)(50, 179)(51, 180)(52, 181)(53, 182)(54, 183)(55, 184)(56, 185)(57, 186)(58, 187)(59, 188)(60, 189)(61, 190)(62, 191)(63, 192)(64, 193)(65, 194)(66, 195)(67, 196)(68, 197)(69, 198)(70, 199)(71, 200)(72, 201)(73, 202)(74, 203)(75, 204)(76, 205)(77, 206)(78, 207)(79, 208)(80, 209)(81, 210)(82, 211)(83, 212)(84, 213)(85, 214)(86, 215)(87, 216)(88, 217)(89, 218)(90, 219)(91, 220)(92, 221)(93, 222)(94, 223)(95, 224)(96, 225)(97, 226)(98, 227)(99, 228)(100, 229)(101, 230)(102, 231)(103, 232)(104, 233)(105, 234)(106, 235)(107, 236)(108, 237)(109, 238)(110, 239)(111, 240)(112, 241)(113, 242)(114, 243)(115, 244)(116, 245)(117, 246)(118, 247)(119, 248)(120, 249)(121, 250)(122, 251)(123, 252)(124, 253)(125, 254)(126, 255)(127, 256)(128, 257)(129, 258)(259, 260, 262)(261, 266, 267)(263, 270, 271)(264, 272, 273)(265, 274, 275)(268, 279, 280)(269, 281, 282)(276, 291, 292)(277, 284, 293)(278, 294, 295)(283, 300, 301)(285, 302, 303)(286, 304, 305)(287, 289, 306)(288, 307, 308)(290, 309, 310)(296, 317, 318)(297, 298, 319)(299, 320, 321)(311, 334, 335)(312, 314, 336)(313, 337, 338)(315, 324, 339)(316, 340, 341)(322, 348, 349)(323, 350, 351)(325, 352, 353)(326, 354, 355)(327, 329, 356)(328, 357, 358)(330, 332, 359)(331, 360, 361)(333, 362, 363)(342, 371, 372)(343, 344, 373)(345, 346, 374)(347, 364, 366)(365, 379, 383)(367, 369, 384)(368, 385, 375)(370, 377, 380)(376, 387, 378)(381, 382, 386)(388, 390, 392)(389, 393, 394)(391, 397, 398)(395, 405, 406)(396, 403, 407)(399, 412, 409)(400, 413, 414)(401, 415, 416)(402, 410, 417)(404, 418, 419)(408, 425, 426)(411, 427, 428)(420, 440, 441)(421, 423, 442)(422, 443, 444)(424, 438, 445)(429, 451, 447)(430, 431, 452)(432, 453, 454)(433, 455, 456)(434, 436, 457)(435, 458, 459)(437, 449, 460)(439, 461, 462)(446, 471, 472)(448, 473, 474)(450, 475, 476)(463, 490, 493)(464, 466, 494)(465, 495, 496)(467, 469, 497)(468, 498, 499)(470, 491, 500)(477, 504, 501)(478, 479, 505)(480, 481, 483)(482, 506, 485)(484, 486, 507)(487, 489, 508)(488, 509, 510)(492, 511, 502)(503, 515, 513)(512, 514, 516)
	L = (1, 259)(2, 260)(3, 261)(4, 262)(5, 263)(6, 264)(7, 265)(8, 266)(9, 267)(10, 268)(11, 269)(12, 270)(13, 271)(14, 272)(15, 273)(16, 274)(17, 275)(18, 276)(19, 277)(20, 278)(21, 279)(22, 280)(23, 281)(24, 282)(25, 283)(26, 284)(27, 285)(28, 286)(29, 287)(30, 288)(31, 289)(32, 290)(33, 291)(34, 292)(35, 293)(36, 294)(37, 295)(38, 296)(39, 297)(40, 298)(41, 299)(42, 300)(43, 301)(44, 302)(45, 303)(46, 304)(47, 305)(48, 306)(49, 307)(50, 308)(51, 309)(52, 310)(53, 311)(54, 312)(55, 313)(56, 314)(57, 315)(58, 316)(59, 317)(60, 318)(61, 319)(62, 320)(63, 321)(64, 322)(65, 323)(66, 324)(67, 325)(68, 326)(69, 327)(70, 328)(71, 329)(72, 330)(73, 331)(74, 332)(75, 333)(76, 334)(77, 335)(78, 336)(79, 337)(80, 338)(81, 339)(82, 340)(83, 341)(84, 342)(85, 343)(86, 344)(87, 345)(88, 346)(89, 347)(90, 348)(91, 349)(92, 350)(93, 351)(94, 352)(95, 353)(96, 354)(97, 355)(98, 356)(99, 357)(100, 358)(101, 359)(102, 360)(103, 361)(104, 362)(105, 363)(106, 364)(107, 365)(108, 366)(109, 367)(110, 368)(111, 369)(112, 370)(113, 371)(114, 372)(115, 373)(116, 374)(117, 375)(118, 376)(119, 377)(120, 378)(121, 379)(122, 380)(123, 381)(124, 382)(125, 383)(126, 384)(127, 385)(128, 386)(129, 387)(130, 388)(131, 389)(132, 390)(133, 391)(134, 392)(135, 393)(136, 394)(137, 395)(138, 396)(139, 397)(140, 398)(141, 399)(142, 400)(143, 401)(144, 402)(145, 403)(146, 404)(147, 405)(148, 406)(149, 407)(150, 408)(151, 409)(152, 410)(153, 411)(154, 412)(155, 413)(156, 414)(157, 415)(158, 416)(159, 417)(160, 418)(161, 419)(162, 420)(163, 421)(164, 422)(165, 423)(166, 424)(167, 425)(168, 426)(169, 427)(170, 428)(171, 429)(172, 430)(173, 431)(174, 432)(175, 433)(176, 434)(177, 435)(178, 436)(179, 437)(180, 438)(181, 439)(182, 440)(183, 441)(184, 442)(185, 443)(186, 444)(187, 445)(188, 446)(189, 447)(190, 448)(191, 449)(192, 450)(193, 451)(194, 452)(195, 453)(196, 454)(197, 455)(198, 456)(199, 457)(200, 458)(201, 459)(202, 460)(203, 461)(204, 462)(205, 463)(206, 464)(207, 465)(208, 466)(209, 467)(210, 468)(211, 469)(212, 470)(213, 471)(214, 472)(215, 473)(216, 474)(217, 475)(218, 476)(219, 477)(220, 478)(221, 479)(222, 480)(223, 481)(224, 482)(225, 483)(226, 484)(227, 485)(228, 486)(229, 487)(230, 488)(231, 489)(232, 490)(233, 491)(234, 492)(235, 493)(236, 494)(237, 495)(238, 496)(239, 497)(240, 498)(241, 499)(242, 500)(243, 501)(244, 502)(245, 503)(246, 504)(247, 505)(248, 506)(249, 507)(250, 508)(251, 509)(252, 510)(253, 511)(254, 512)(255, 513)(256, 514)(257, 515)(258, 516)
	local type(s) :: { ( 172, 172 ), ( 172^3 ) }
Outer automorphisms :: reflexible
Dual of E21.2817
Graph:: simple bipartite
	v = 215 e = 258 f = 3
	degree seq :: [ 2^129, 3^86 ]

E21.2817 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 43})
Quotient :: loop^2
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = (C43 : C3) : C2 (small group id <258, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^-1 * Y2^-1, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^3, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1 * Y3^-2, Y3 * Y2 * Y3^-5 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^3 ]
Map::
	R = (1, 130, 259, 388, 4, 133, 262, 391, 15, 144, 273, 402, 40, 169, 298, 427, 58, 187, 316, 445, 24, 153, 282, 411, 26, 155, 284, 413, 11, 140, 269, 398, 32, 161, 290, 419, 71, 200, 329, 458, 104, 233, 362, 491, 59, 188, 317, 446, 61, 190, 319, 448, 64, 193, 322, 451, 35, 164, 293, 422, 74, 203, 332, 461, 118, 247, 376, 505, 105, 234, 363, 492, 106, 235, 364, 493, 109, 238, 367, 496, 111, 240, 369, 498, 77, 206, 335, 464, 92, 221, 350, 479, 114, 243, 372, 501, 115, 244, 373, 502, 116, 245, 374, 503, 129, 258, 387, 516, 128, 257, 386, 515, 93, 222, 351, 480, 47, 176, 305, 434, 67, 196, 325, 454, 69, 198, 327, 456, 97, 226, 355, 484, 126, 255, 384, 513, 95, 224, 353, 482, 48, 177, 306, 435, 19, 148, 277, 406, 30, 159, 288, 417, 50, 179, 308, 437, 87, 216, 345, 474, 57, 186, 315, 444, 23, 152, 281, 410, 7, 136, 265, 394)(2, 131, 260, 389, 8, 137, 266, 395, 25, 154, 283, 412, 60, 189, 318, 447, 89, 218, 347, 476, 44, 173, 302, 431, 46, 175, 304, 433, 21, 150, 279, 408, 52, 181, 310, 439, 99, 228, 357, 486, 127, 256, 385, 514, 90, 219, 348, 477, 91, 220, 349, 478, 94, 223, 352, 481, 55, 184, 313, 442, 84, 213, 342, 471, 117, 246, 375, 504, 119, 248, 377, 506, 120, 249, 378, 507, 122, 251, 380, 509, 124, 253, 382, 511, 85, 214, 343, 472, 42, 171, 300, 429, 72, 201, 330, 459, 75, 204, 333, 462, 78, 207, 336, 465, 121, 250, 379, 508, 88, 217, 346, 475, 43, 172, 301, 430, 17, 146, 275, 404, 33, 162, 291, 420, 36, 165, 294, 423, 76, 205, 334, 463, 98, 227, 356, 485, 51, 180, 309, 438, 20, 149, 278, 407, 6, 135, 264, 393, 12, 141, 270, 399, 34, 163, 292, 421, 73, 202, 331, 460, 70, 199, 328, 457, 31, 160, 289, 418, 10, 139, 268, 397)(3, 132, 261, 390, 5, 134, 263, 392, 18, 147, 276, 405, 45, 174, 303, 432, 80, 209, 338, 467, 38, 167, 296, 425, 14, 143, 272, 401, 16, 145, 274, 403, 29, 158, 287, 416, 66, 195, 324, 453, 113, 242, 371, 500, 81, 210, 339, 468, 39, 168, 297, 426, 41, 170, 299, 428, 49, 178, 307, 436, 68, 197, 326, 455, 107, 236, 365, 494, 123, 252, 381, 510, 82, 211, 340, 469, 83, 212, 341, 470, 86, 215, 344, 473, 96, 225, 354, 483, 108, 237, 366, 495, 62, 191, 320, 449, 100, 229, 358, 487, 101, 230, 359, 488, 103, 232, 361, 490, 125, 254, 383, 512, 110, 239, 368, 497, 63, 192, 321, 450, 27, 156, 285, 414, 53, 182, 311, 440, 56, 185, 314, 443, 102, 231, 360, 489, 112, 241, 370, 499, 65, 194, 323, 452, 28, 157, 286, 415, 9, 138, 267, 396, 22, 151, 280, 409, 54, 183, 312, 441, 79, 208, 337, 466, 37, 166, 295, 424, 13, 142, 271, 400)
	L = (1, 131)(2, 134)(3, 140)(4, 135)(5, 130)(6, 145)(7, 150)(8, 138)(9, 155)(10, 158)(11, 141)(12, 132)(13, 164)(14, 161)(15, 146)(16, 133)(17, 170)(18, 148)(19, 175)(20, 178)(21, 151)(22, 136)(23, 184)(24, 181)(25, 156)(26, 137)(27, 190)(28, 193)(29, 159)(30, 139)(31, 197)(32, 162)(33, 143)(34, 157)(35, 165)(36, 142)(37, 206)(38, 203)(39, 200)(40, 171)(41, 144)(42, 212)(43, 215)(44, 195)(45, 176)(46, 147)(47, 220)(48, 223)(49, 179)(50, 149)(51, 225)(52, 182)(53, 153)(54, 177)(55, 185)(56, 152)(57, 214)(58, 213)(59, 228)(60, 191)(61, 154)(62, 235)(63, 238)(64, 163)(65, 240)(66, 196)(67, 173)(68, 198)(69, 160)(70, 237)(71, 201)(72, 168)(73, 192)(74, 204)(75, 167)(76, 194)(77, 207)(78, 166)(79, 222)(80, 221)(81, 247)(82, 233)(83, 169)(84, 230)(85, 232)(86, 216)(87, 172)(88, 254)(89, 236)(90, 242)(91, 174)(92, 249)(93, 251)(94, 183)(95, 253)(96, 226)(97, 180)(98, 239)(99, 229)(100, 188)(101, 187)(102, 224)(103, 186)(104, 246)(105, 256)(106, 189)(107, 244)(108, 245)(109, 202)(110, 258)(111, 205)(112, 257)(113, 243)(114, 219)(115, 218)(116, 199)(117, 211)(118, 248)(119, 210)(120, 209)(121, 241)(122, 208)(123, 234)(124, 231)(125, 255)(126, 217)(127, 252)(128, 250)(129, 227)(259, 390)(260, 394)(261, 393)(262, 401)(263, 397)(264, 388)(265, 396)(266, 411)(267, 389)(268, 406)(269, 400)(270, 413)(271, 420)(272, 404)(273, 426)(274, 407)(275, 391)(276, 431)(277, 392)(278, 417)(279, 410)(280, 433)(281, 440)(282, 414)(283, 446)(284, 415)(285, 395)(286, 399)(287, 418)(288, 403)(289, 454)(290, 425)(291, 398)(292, 448)(293, 424)(294, 451)(295, 462)(296, 459)(297, 429)(298, 469)(299, 430)(300, 402)(301, 437)(302, 434)(303, 477)(304, 435)(305, 405)(306, 409)(307, 438)(308, 428)(309, 456)(310, 445)(311, 408)(312, 478)(313, 444)(314, 481)(315, 488)(316, 487)(317, 449)(318, 492)(319, 450)(320, 412)(321, 421)(322, 452)(323, 423)(324, 476)(325, 416)(326, 457)(327, 436)(328, 502)(329, 468)(330, 419)(331, 493)(332, 467)(333, 422)(334, 496)(335, 466)(336, 498)(337, 507)(338, 506)(339, 504)(340, 471)(341, 472)(342, 427)(343, 474)(344, 475)(345, 470)(346, 484)(347, 501)(348, 479)(349, 480)(350, 432)(351, 441)(352, 482)(353, 443)(354, 485)(355, 473)(356, 503)(357, 491)(358, 439)(359, 442)(360, 509)(361, 511)(362, 510)(363, 494)(364, 495)(365, 447)(366, 460)(367, 497)(368, 463)(369, 499)(370, 465)(371, 514)(372, 453)(373, 455)(374, 483)(375, 458)(376, 500)(377, 461)(378, 464)(379, 516)(380, 515)(381, 486)(382, 513)(383, 508)(384, 490)(385, 505)(386, 489)(387, 512)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E21.2816
Transitivity :: VT+
Graph::
	v = 3 e = 258 f = 215
	degree seq :: [ 172^3 ]

E21.2818 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 43})
Quotient :: loop^2
Aut^+ = C43 : C3 (small group id <129, 1>)
Aut   = (C43 : C3) : C2 (small group id <258, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^43 ]
Map:: polytopal non-degenerate
	R = (1, 130, 259, 388)(2, 131, 260, 389)(3, 132, 261, 390)(4, 133, 262, 391)(5, 134, 263, 392)(6, 135, 264, 393)(7, 136, 265, 394)(8, 137, 266, 395)(9, 138, 267, 396)(10, 139, 268, 397)(11, 140, 269, 398)(12, 141, 270, 399)(13, 142, 271, 400)(14, 143, 272, 401)(15, 144, 273, 402)(16, 145, 274, 403)(17, 146, 275, 404)(18, 147, 276, 405)(19, 148, 277, 406)(20, 149, 278, 407)(21, 150, 279, 408)(22, 151, 280, 409)(23, 152, 281, 410)(24, 153, 282, 411)(25, 154, 283, 412)(26, 155, 284, 413)(27, 156, 285, 414)(28, 157, 286, 415)(29, 158, 287, 416)(30, 159, 288, 417)(31, 160, 289, 418)(32, 161, 290, 419)(33, 162, 291, 420)(34, 163, 292, 421)(35, 164, 293, 422)(36, 165, 294, 423)(37, 166, 295, 424)(38, 167, 296, 425)(39, 168, 297, 426)(40, 169, 298, 427)(41, 170, 299, 428)(42, 171, 300, 429)(43, 172, 301, 430)(44, 173, 302, 431)(45, 174, 303, 432)(46, 175, 304, 433)(47, 176, 305, 434)(48, 177, 306, 435)(49, 178, 307, 436)(50, 179, 308, 437)(51, 180, 309, 438)(52, 181, 310, 439)(53, 182, 311, 440)(54, 183, 312, 441)(55, 184, 313, 442)(56, 185, 314, 443)(57, 186, 315, 444)(58, 187, 316, 445)(59, 188, 317, 446)(60, 189, 318, 447)(61, 190, 319, 448)(62, 191, 320, 449)(63, 192, 321, 450)(64, 193, 322, 451)(65, 194, 323, 452)(66, 195, 324, 453)(67, 196, 325, 454)(68, 197, 326, 455)(69, 198, 327, 456)(70, 199, 328, 457)(71, 200, 329, 458)(72, 201, 330, 459)(73, 202, 331, 460)(74, 203, 332, 461)(75, 204, 333, 462)(76, 205, 334, 463)(77, 206, 335, 464)(78, 207, 336, 465)(79, 208, 337, 466)(80, 209, 338, 467)(81, 210, 339, 468)(82, 211, 340, 469)(83, 212, 341, 470)(84, 213, 342, 471)(85, 214, 343, 472)(86, 215, 344, 473)(87, 216, 345, 474)(88, 217, 346, 475)(89, 218, 347, 476)(90, 219, 348, 477)(91, 220, 349, 478)(92, 221, 350, 479)(93, 222, 351, 480)(94, 223, 352, 481)(95, 224, 353, 482)(96, 225, 354, 483)(97, 226, 355, 484)(98, 227, 356, 485)(99, 228, 357, 486)(100, 229, 358, 487)(101, 230, 359, 488)(102, 231, 360, 489)(103, 232, 361, 490)(104, 233, 362, 491)(105, 234, 363, 492)(106, 235, 364, 493)(107, 236, 365, 494)(108, 237, 366, 495)(109, 238, 367, 496)(110, 239, 368, 497)(111, 240, 369, 498)(112, 241, 370, 499)(113, 242, 371, 500)(114, 243, 372, 501)(115, 244, 373, 502)(116, 245, 374, 503)(117, 246, 375, 504)(118, 247, 376, 505)(119, 248, 377, 506)(120, 249, 378, 507)(121, 250, 379, 508)(122, 251, 380, 509)(123, 252, 381, 510)(124, 253, 382, 511)(125, 254, 383, 512)(126, 255, 384, 513)(127, 256, 385, 514)(128, 257, 386, 515)(129, 258, 387, 516)
	L = (1, 131)(2, 133)(3, 137)(4, 130)(5, 141)(6, 143)(7, 145)(8, 138)(9, 132)(10, 150)(11, 152)(12, 142)(13, 134)(14, 144)(15, 135)(16, 146)(17, 136)(18, 162)(19, 155)(20, 165)(21, 151)(22, 139)(23, 153)(24, 140)(25, 171)(26, 164)(27, 173)(28, 175)(29, 160)(30, 178)(31, 177)(32, 180)(33, 163)(34, 147)(35, 148)(36, 166)(37, 149)(38, 188)(39, 169)(40, 190)(41, 191)(42, 172)(43, 154)(44, 174)(45, 156)(46, 176)(47, 157)(48, 158)(49, 179)(50, 159)(51, 181)(52, 161)(53, 205)(54, 185)(55, 208)(56, 207)(57, 195)(58, 211)(59, 189)(60, 167)(61, 168)(62, 192)(63, 170)(64, 219)(65, 221)(66, 210)(67, 223)(68, 225)(69, 200)(70, 228)(71, 227)(72, 203)(73, 231)(74, 230)(75, 233)(76, 206)(77, 182)(78, 183)(79, 209)(80, 184)(81, 186)(82, 212)(83, 187)(84, 242)(85, 215)(86, 244)(87, 217)(88, 245)(89, 235)(90, 220)(91, 193)(92, 222)(93, 194)(94, 224)(95, 196)(96, 226)(97, 197)(98, 198)(99, 229)(100, 199)(101, 201)(102, 232)(103, 202)(104, 234)(105, 204)(106, 237)(107, 250)(108, 218)(109, 240)(110, 256)(111, 255)(112, 248)(113, 243)(114, 213)(115, 214)(116, 216)(117, 239)(118, 258)(119, 251)(120, 247)(121, 254)(122, 241)(123, 253)(124, 257)(125, 236)(126, 238)(127, 246)(128, 252)(129, 249)(259, 390)(260, 393)(261, 392)(262, 397)(263, 388)(264, 394)(265, 389)(266, 405)(267, 403)(268, 398)(269, 391)(270, 412)(271, 413)(272, 415)(273, 410)(274, 407)(275, 418)(276, 406)(277, 395)(278, 396)(279, 425)(280, 399)(281, 417)(282, 427)(283, 409)(284, 414)(285, 400)(286, 416)(287, 401)(288, 402)(289, 419)(290, 404)(291, 440)(292, 423)(293, 443)(294, 442)(295, 438)(296, 426)(297, 408)(298, 428)(299, 411)(300, 451)(301, 431)(302, 452)(303, 453)(304, 455)(305, 436)(306, 458)(307, 457)(308, 449)(309, 445)(310, 461)(311, 441)(312, 420)(313, 421)(314, 444)(315, 422)(316, 424)(317, 471)(318, 429)(319, 473)(320, 460)(321, 475)(322, 447)(323, 430)(324, 454)(325, 432)(326, 456)(327, 433)(328, 434)(329, 459)(330, 435)(331, 437)(332, 462)(333, 439)(334, 490)(335, 466)(336, 495)(337, 494)(338, 469)(339, 498)(340, 497)(341, 491)(342, 472)(343, 446)(344, 474)(345, 448)(346, 476)(347, 450)(348, 504)(349, 479)(350, 505)(351, 481)(352, 483)(353, 506)(354, 480)(355, 486)(356, 482)(357, 507)(358, 489)(359, 509)(360, 508)(361, 493)(362, 500)(363, 511)(364, 463)(365, 464)(366, 496)(367, 465)(368, 467)(369, 499)(370, 468)(371, 470)(372, 477)(373, 492)(374, 515)(375, 501)(376, 478)(377, 485)(378, 484)(379, 487)(380, 510)(381, 488)(382, 502)(383, 514)(384, 503)(385, 516)(386, 513)(387, 512)
	local type(s) :: { ( 3, 86, 3, 86 ) }
Outer automorphisms :: reflexible
Dual of E21.2815
Transitivity :: VT+
Graph:: simple
	v = 129 e = 258 f = 89
	degree seq :: [ 4^129 ]

E21.2819 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 161)(3, 167, 7, 163)(4, 169, 9, 164)(5, 170, 10, 165)(6, 172, 12, 166)(8, 175, 15, 168)(11, 180, 20, 171)(13, 183, 23, 173)(14, 185, 25, 174)(16, 188, 28, 176)(17, 190, 30, 177)(18, 191, 31, 178)(19, 193, 33, 179)(21, 196, 36, 181)(22, 198, 38, 182)(24, 194, 34, 184)(26, 192, 32, 186)(27, 197, 37, 187)(29, 195, 35, 189)(39, 209, 49, 199)(40, 210, 50, 200)(41, 211, 51, 201)(42, 212, 52, 202)(43, 208, 48, 203)(44, 213, 53, 204)(45, 214, 54, 205)(46, 215, 55, 206)(47, 216, 56, 207)(57, 225, 65, 217)(58, 226, 66, 218)(59, 227, 67, 219)(60, 228, 68, 220)(61, 229, 69, 221)(62, 230, 70, 222)(63, 231, 71, 223)(64, 232, 72, 224)(73, 237, 77, 233)(74, 240, 80, 234)(75, 246, 86, 235)(76, 260, 100, 236)(78, 273, 113, 238)(79, 281, 121, 239)(81, 290, 130, 241)(82, 284, 124, 242)(83, 274, 114, 243)(84, 297, 137, 244)(85, 276, 116, 245)(87, 287, 127, 247)(88, 282, 122, 248)(89, 306, 146, 249)(90, 288, 128, 250)(91, 291, 131, 251)(92, 307, 147, 252)(93, 294, 134, 253)(94, 285, 125, 254)(95, 315, 155, 255)(96, 295, 135, 256)(97, 298, 138, 257)(98, 316, 156, 258)(99, 277, 117, 259)(101, 303, 143, 261)(102, 310, 150, 262)(103, 304, 144, 263)(104, 311, 151, 264)(105, 305, 145, 265)(106, 309, 149, 266)(107, 312, 152, 267)(108, 314, 154, 268)(109, 296, 136, 269)(110, 300, 140, 270)(111, 317, 157, 271)(112, 318, 158, 272)(115, 289, 129, 275)(118, 293, 133, 278)(119, 308, 148, 279)(120, 313, 153, 280)(123, 286, 126, 283)(132, 301, 141, 292)(139, 302, 142, 299)(159, 320, 160, 319)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 40)(30, 42)(31, 44)(33, 46)(35, 48)(36, 45)(38, 47)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 113)(70, 116)(71, 114)(72, 117)(77, 121)(78, 124)(79, 127)(80, 130)(81, 128)(82, 134)(83, 137)(84, 135)(85, 125)(86, 122)(87, 143)(88, 146)(89, 144)(90, 150)(91, 147)(92, 151)(93, 145)(94, 155)(95, 152)(96, 149)(97, 156)(98, 154)(99, 138)(100, 131)(101, 136)(102, 157)(103, 140)(104, 158)(105, 129)(106, 148)(107, 133)(108, 153)(109, 126)(110, 139)(111, 141)(112, 159)(115, 123)(118, 132)(119, 142)(120, 160)(161, 164)(162, 166)(163, 168)(165, 171)(167, 174)(169, 177)(170, 179)(172, 182)(173, 184)(175, 187)(176, 189)(178, 192)(180, 195)(181, 197)(183, 200)(185, 202)(186, 203)(188, 199)(190, 201)(191, 205)(193, 207)(194, 208)(196, 204)(198, 206)(209, 218)(210, 220)(211, 217)(212, 219)(213, 222)(214, 224)(215, 221)(216, 223)(225, 234)(226, 236)(227, 233)(228, 235)(229, 274)(230, 277)(231, 273)(232, 276)(237, 282)(238, 285)(239, 288)(240, 291)(241, 287)(242, 295)(243, 298)(244, 294)(245, 284)(246, 281)(247, 304)(248, 307)(249, 303)(250, 311)(251, 306)(252, 310)(253, 312)(254, 316)(255, 305)(256, 314)(257, 315)(258, 309)(259, 297)(260, 290)(261, 317)(262, 296)(263, 318)(264, 300)(265, 308)(266, 289)(267, 313)(268, 293)(269, 299)(270, 286)(271, 319)(272, 301)(275, 292)(278, 283)(279, 320)(280, 302)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2820
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2820 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 166, 6, 165, 5, 161)(3, 169, 9, 176, 16, 171, 11, 163)(4, 172, 12, 177, 17, 173, 13, 164)(7, 178, 18, 174, 14, 180, 20, 167)(8, 181, 21, 175, 15, 182, 22, 168)(10, 185, 25, 188, 28, 179, 19, 170)(23, 193, 33, 186, 26, 194, 34, 183)(24, 195, 35, 187, 27, 196, 36, 184)(29, 197, 37, 191, 31, 198, 38, 189)(30, 199, 39, 192, 32, 200, 40, 190)(41, 209, 49, 203, 43, 210, 50, 201)(42, 211, 51, 204, 44, 212, 52, 202)(45, 213, 53, 207, 47, 214, 54, 205)(46, 215, 55, 208, 48, 216, 56, 206)(57, 225, 65, 219, 59, 226, 66, 217)(58, 227, 67, 220, 60, 228, 68, 218)(61, 229, 69, 223, 63, 230, 70, 221)(62, 231, 71, 224, 64, 232, 72, 222)(73, 240, 80, 235, 75, 237, 77, 233)(74, 252, 92, 236, 76, 242, 82, 234)(78, 273, 113, 239, 79, 276, 116, 238)(81, 290, 130, 243, 83, 281, 121, 241)(84, 282, 122, 245, 85, 291, 131, 244)(86, 287, 127, 248, 88, 284, 124, 246)(87, 274, 114, 251, 91, 277, 117, 247)(89, 285, 125, 250, 90, 288, 128, 249)(93, 297, 137, 254, 94, 293, 133, 253)(95, 294, 134, 256, 96, 298, 138, 255)(97, 306, 146, 258, 98, 302, 142, 257)(99, 303, 143, 260, 100, 307, 147, 259)(101, 316, 156, 262, 102, 313, 153, 261)(103, 314, 154, 264, 104, 317, 157, 263)(105, 315, 155, 266, 106, 318, 158, 265)(107, 319, 159, 268, 108, 320, 160, 267)(109, 304, 144, 270, 110, 308, 148, 269)(111, 309, 149, 272, 112, 310, 150, 271)(115, 299, 139, 278, 118, 295, 135, 275)(119, 301, 141, 280, 120, 300, 140, 279)(123, 286, 126, 292, 132, 289, 129, 283)(136, 311, 151, 312, 152, 305, 145, 296)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 27)(13, 24)(15, 25)(17, 28)(18, 29)(20, 31)(21, 32)(22, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 113)(70, 116)(71, 117)(72, 114)(77, 121)(78, 124)(79, 127)(80, 130)(81, 133)(82, 131)(83, 137)(84, 134)(85, 138)(86, 142)(87, 128)(88, 146)(89, 143)(90, 147)(91, 125)(92, 122)(93, 153)(94, 156)(95, 154)(96, 157)(97, 158)(98, 155)(99, 159)(100, 160)(101, 148)(102, 144)(103, 149)(104, 150)(105, 135)(106, 139)(107, 141)(108, 140)(109, 126)(110, 129)(111, 145)(112, 151)(115, 132)(118, 123)(119, 152)(120, 136)(161, 164)(162, 168)(163, 170)(165, 175)(166, 177)(167, 179)(169, 184)(171, 187)(172, 186)(173, 183)(174, 185)(176, 188)(178, 190)(180, 192)(181, 191)(182, 189)(193, 202)(194, 204)(195, 203)(196, 201)(197, 206)(198, 208)(199, 207)(200, 205)(209, 218)(210, 220)(211, 219)(212, 217)(213, 222)(214, 224)(215, 223)(216, 221)(225, 234)(226, 236)(227, 235)(228, 233)(229, 274)(230, 277)(231, 276)(232, 273)(237, 282)(238, 285)(239, 288)(240, 291)(241, 294)(242, 290)(243, 298)(244, 293)(245, 297)(246, 303)(247, 287)(248, 307)(249, 302)(250, 306)(251, 284)(252, 281)(253, 314)(254, 317)(255, 313)(256, 316)(257, 319)(258, 320)(259, 318)(260, 315)(261, 309)(262, 310)(263, 308)(264, 304)(265, 301)(266, 300)(267, 295)(268, 299)(269, 305)(270, 311)(271, 286)(272, 289)(275, 312)(278, 296)(279, 292)(280, 283)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2819
Transitivity :: VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2821 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164)(2, 162, 6, 166)(3, 163, 7, 167)(5, 165, 10, 170)(8, 168, 16, 176)(9, 169, 17, 177)(11, 171, 21, 181)(12, 172, 22, 182)(13, 173, 24, 184)(14, 174, 25, 185)(15, 175, 26, 186)(18, 178, 32, 192)(19, 179, 33, 193)(20, 180, 34, 194)(23, 183, 39, 199)(27, 187, 40, 200)(28, 188, 41, 201)(29, 189, 42, 202)(30, 190, 43, 203)(31, 191, 44, 204)(35, 195, 45, 205)(36, 196, 46, 206)(37, 197, 47, 207)(38, 198, 48, 208)(49, 209, 57, 217)(50, 210, 58, 218)(51, 211, 59, 219)(52, 212, 60, 220)(53, 213, 61, 221)(54, 214, 62, 222)(55, 215, 63, 223)(56, 216, 64, 224)(65, 225, 73, 233)(66, 226, 74, 234)(67, 227, 75, 235)(68, 228, 76, 236)(69, 229, 121, 281)(70, 230, 123, 283)(71, 231, 125, 285)(72, 232, 127, 287)(77, 237, 131, 291)(78, 238, 135, 295)(79, 239, 137, 297)(80, 240, 139, 299)(81, 241, 141, 301)(82, 242, 143, 303)(83, 243, 145, 305)(84, 244, 138, 298)(85, 245, 149, 309)(86, 246, 150, 310)(87, 247, 142, 302)(88, 248, 154, 314)(89, 249, 132, 292)(90, 250, 155, 315)(91, 251, 134, 294)(92, 252, 136, 296)(93, 253, 157, 317)(94, 254, 130, 290)(95, 255, 129, 289)(96, 256, 153, 313)(97, 257, 156, 316)(98, 258, 160, 320)(99, 259, 140, 300)(100, 260, 151, 311)(101, 261, 133, 293)(102, 262, 148, 308)(103, 263, 158, 318)(104, 264, 159, 319)(105, 265, 144, 304)(106, 266, 146, 306)(107, 267, 152, 312)(108, 268, 147, 307)(109, 269, 128, 288)(110, 270, 124, 284)(111, 271, 126, 286)(112, 272, 122, 282)(113, 273, 120, 280)(114, 274, 118, 278)(115, 275, 119, 279)(116, 276, 117, 277)(321, 322)(323, 325)(324, 328)(326, 331)(327, 333)(329, 335)(330, 338)(332, 340)(334, 343)(336, 347)(337, 349)(339, 351)(341, 355)(342, 357)(344, 356)(345, 358)(346, 354)(348, 352)(350, 353)(359, 364)(360, 369)(361, 371)(362, 370)(363, 372)(365, 373)(366, 375)(367, 374)(368, 376)(377, 385)(378, 387)(379, 386)(380, 388)(381, 389)(382, 391)(383, 390)(384, 392)(393, 403)(394, 402)(395, 415)(396, 414)(397, 449)(398, 453)(399, 454)(400, 443)(401, 450)(404, 467)(405, 461)(406, 441)(407, 472)(408, 457)(409, 468)(410, 455)(411, 447)(412, 473)(413, 451)(416, 465)(417, 477)(418, 469)(419, 456)(420, 458)(421, 445)(422, 470)(423, 475)(424, 474)(425, 452)(426, 462)(427, 459)(428, 463)(429, 471)(430, 480)(431, 460)(432, 476)(433, 466)(434, 479)(435, 464)(436, 478)(437, 442)(438, 444)(439, 446)(440, 448)(481, 483)(482, 485)(484, 489)(486, 492)(487, 494)(488, 495)(490, 499)(491, 500)(493, 503)(496, 508)(497, 510)(498, 511)(501, 516)(502, 518)(504, 515)(505, 517)(506, 519)(507, 512)(509, 513)(514, 524)(520, 530)(521, 532)(522, 529)(523, 531)(525, 534)(526, 536)(527, 533)(528, 535)(537, 546)(538, 548)(539, 545)(540, 547)(541, 550)(542, 552)(543, 549)(544, 551)(553, 575)(554, 574)(555, 563)(556, 562)(557, 610)(558, 614)(559, 613)(560, 607)(561, 609)(564, 621)(565, 627)(566, 605)(567, 617)(568, 632)(569, 615)(570, 628)(571, 603)(572, 611)(573, 633)(576, 623)(577, 629)(578, 637)(579, 618)(580, 616)(581, 601)(582, 619)(583, 634)(584, 635)(585, 622)(586, 612)(587, 630)(588, 625)(589, 640)(590, 631)(591, 636)(592, 620)(593, 639)(594, 626)(595, 638)(596, 624)(597, 604)(598, 602)(599, 608)(600, 606)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2824
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.2822 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164, 13, 173, 5, 165)(2, 162, 7, 167, 20, 180, 8, 168)(3, 163, 9, 169, 23, 183, 10, 170)(6, 166, 16, 176, 28, 188, 17, 177)(11, 171, 24, 184, 14, 174, 25, 185)(12, 172, 26, 186, 15, 175, 27, 187)(18, 178, 29, 189, 21, 181, 30, 190)(19, 179, 31, 191, 22, 182, 32, 192)(33, 193, 41, 201, 35, 195, 42, 202)(34, 194, 43, 203, 36, 196, 44, 204)(37, 197, 45, 205, 39, 199, 46, 206)(38, 198, 47, 207, 40, 200, 48, 208)(49, 209, 57, 217, 51, 211, 58, 218)(50, 210, 59, 219, 52, 212, 60, 220)(53, 213, 61, 221, 55, 215, 62, 222)(54, 214, 63, 223, 56, 216, 64, 224)(65, 225, 73, 233, 67, 227, 74, 234)(66, 226, 75, 235, 68, 228, 76, 236)(69, 229, 145, 305, 71, 231, 149, 309)(70, 230, 147, 307, 72, 232, 151, 311)(77, 237, 97, 257, 89, 249, 94, 254)(78, 238, 90, 250, 96, 256, 87, 247)(79, 239, 88, 248, 99, 259, 91, 251)(80, 240, 111, 271, 81, 241, 109, 269)(82, 242, 95, 255, 104, 264, 98, 258)(83, 243, 115, 275, 84, 244, 113, 273)(85, 245, 116, 276, 86, 246, 114, 274)(92, 252, 112, 272, 93, 253, 110, 270)(100, 260, 127, 287, 101, 261, 125, 285)(102, 262, 128, 288, 103, 263, 126, 286)(105, 265, 131, 291, 106, 266, 129, 289)(107, 267, 132, 292, 108, 268, 130, 290)(117, 277, 143, 303, 118, 278, 141, 301)(119, 279, 144, 304, 120, 280, 142, 302)(121, 281, 150, 310, 122, 282, 146, 306)(123, 283, 152, 312, 124, 284, 148, 308)(133, 293, 157, 317, 134, 294, 158, 318)(135, 295, 159, 319, 136, 296, 160, 320)(137, 297, 156, 316, 138, 298, 154, 314)(139, 299, 155, 315, 140, 300, 153, 313)(321, 322)(323, 326)(324, 331)(325, 334)(327, 338)(328, 341)(329, 342)(330, 339)(332, 337)(333, 340)(335, 336)(343, 348)(344, 353)(345, 355)(346, 356)(347, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 473)(394, 475)(395, 476)(396, 474)(397, 398)(399, 402)(400, 407)(401, 410)(403, 414)(404, 417)(405, 418)(406, 415)(408, 413)(409, 416)(411, 412)(419, 424)(420, 429)(421, 431)(422, 432)(423, 430)(425, 433)(426, 435)(427, 436)(428, 434)(437, 445)(438, 447)(439, 448)(440, 446)(441, 449)(442, 451)(443, 452)(444, 450)(453, 461)(454, 463)(455, 464)(456, 462)(457, 466)(458, 470)(459, 472)(460, 468)(465, 480)(467, 477)(469, 479)(471, 478)(481, 483)(482, 486)(484, 492)(485, 495)(487, 499)(488, 502)(489, 501)(490, 498)(491, 497)(493, 503)(494, 496)(500, 508)(504, 514)(505, 516)(506, 515)(507, 513)(509, 518)(510, 520)(511, 519)(512, 517)(521, 530)(522, 532)(523, 531)(524, 529)(525, 534)(526, 536)(527, 535)(528, 533)(537, 546)(538, 548)(539, 547)(540, 545)(541, 550)(542, 552)(543, 551)(544, 549)(553, 634)(554, 636)(555, 635)(556, 633)(557, 559)(558, 562)(560, 568)(561, 571)(563, 575)(564, 578)(565, 577)(566, 574)(567, 573)(569, 579)(570, 572)(576, 584)(580, 590)(581, 592)(582, 591)(583, 589)(585, 594)(586, 596)(587, 595)(588, 593)(597, 606)(598, 608)(599, 607)(600, 605)(601, 610)(602, 612)(603, 611)(604, 609)(613, 622)(614, 624)(615, 623)(616, 621)(617, 628)(618, 632)(619, 630)(620, 626)(625, 638)(627, 639)(629, 637)(631, 640)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2823
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.2823 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484)(2, 162, 322, 482, 6, 166, 326, 486)(3, 163, 323, 483, 7, 167, 327, 487)(5, 165, 325, 485, 10, 170, 330, 490)(8, 168, 328, 488, 16, 176, 336, 496)(9, 169, 329, 489, 17, 177, 337, 497)(11, 171, 331, 491, 21, 181, 341, 501)(12, 172, 332, 492, 22, 182, 342, 502)(13, 173, 333, 493, 24, 184, 344, 504)(14, 174, 334, 494, 25, 185, 345, 505)(15, 175, 335, 495, 26, 186, 346, 506)(18, 178, 338, 498, 32, 192, 352, 512)(19, 179, 339, 499, 33, 193, 353, 513)(20, 180, 340, 500, 34, 194, 354, 514)(23, 183, 343, 503, 39, 199, 359, 519)(27, 187, 347, 507, 40, 200, 360, 520)(28, 188, 348, 508, 41, 201, 361, 521)(29, 189, 349, 509, 42, 202, 362, 522)(30, 190, 350, 510, 43, 203, 363, 523)(31, 191, 351, 511, 44, 204, 364, 524)(35, 195, 355, 515, 45, 205, 365, 525)(36, 196, 356, 516, 46, 206, 366, 526)(37, 197, 357, 517, 47, 207, 367, 527)(38, 198, 358, 518, 48, 208, 368, 528)(49, 209, 369, 529, 57, 217, 377, 537)(50, 210, 370, 530, 58, 218, 378, 538)(51, 211, 371, 531, 59, 219, 379, 539)(52, 212, 372, 532, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541)(54, 214, 374, 534, 62, 222, 382, 542)(55, 215, 375, 535, 63, 223, 383, 543)(56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553)(66, 226, 386, 546, 74, 234, 394, 554)(67, 227, 387, 547, 75, 235, 395, 555)(68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 125, 285, 445, 605)(70, 230, 390, 550, 126, 286, 446, 606)(71, 231, 391, 551, 127, 287, 447, 607)(72, 232, 392, 552, 128, 288, 448, 608)(77, 237, 397, 557, 135, 295, 455, 615)(78, 238, 398, 558, 138, 298, 458, 618)(79, 239, 399, 559, 139, 299, 459, 619)(80, 240, 400, 560, 141, 301, 461, 621)(81, 241, 401, 561, 142, 302, 462, 622)(82, 242, 402, 562, 144, 304, 464, 624)(83, 243, 403, 563, 146, 306, 466, 626)(84, 244, 404, 564, 147, 307, 467, 627)(85, 245, 405, 565, 134, 294, 454, 614)(86, 246, 406, 566, 149, 309, 469, 629)(87, 247, 407, 567, 150, 310, 470, 630)(88, 248, 408, 568, 137, 297, 457, 617)(89, 249, 409, 569, 151, 311, 471, 631)(90, 250, 410, 570, 136, 296, 456, 616)(91, 251, 411, 571, 152, 312, 472, 632)(92, 252, 412, 572, 154, 314, 474, 634)(93, 253, 413, 573, 155, 315, 475, 635)(94, 254, 414, 574, 156, 316, 476, 636)(95, 255, 415, 575, 133, 293, 453, 613)(96, 256, 416, 576, 157, 317, 477, 637)(97, 257, 417, 577, 132, 292, 452, 612)(98, 258, 418, 578, 130, 290, 450, 610)(99, 259, 419, 579, 158, 318, 478, 638)(100, 260, 420, 580, 131, 291, 451, 611)(101, 261, 421, 581, 129, 289, 449, 609)(102, 262, 422, 582, 145, 305, 465, 625)(103, 263, 423, 583, 153, 313, 473, 633)(104, 264, 424, 584, 159, 319, 479, 639)(105, 265, 425, 585, 160, 320, 480, 640)(106, 266, 426, 586, 148, 308, 468, 628)(107, 267, 427, 587, 140, 300, 460, 620)(108, 268, 428, 588, 124, 284, 444, 604)(109, 269, 429, 589, 122, 282, 442, 602)(110, 270, 430, 590, 123, 283, 443, 603)(111, 271, 431, 591, 121, 281, 441, 601)(112, 272, 432, 592, 143, 303, 463, 623)(113, 273, 433, 593, 120, 280, 440, 600)(114, 274, 434, 594, 118, 278, 438, 598)(115, 275, 435, 595, 119, 279, 439, 599)(116, 276, 436, 596, 117, 277, 437, 597)
	L = (1, 162)(2, 161)(3, 165)(4, 168)(5, 163)(6, 171)(7, 173)(8, 164)(9, 175)(10, 178)(11, 166)(12, 180)(13, 167)(14, 183)(15, 169)(16, 187)(17, 189)(18, 170)(19, 191)(20, 172)(21, 195)(22, 197)(23, 174)(24, 196)(25, 198)(26, 194)(27, 176)(28, 192)(29, 177)(30, 193)(31, 179)(32, 188)(33, 190)(34, 186)(35, 181)(36, 184)(37, 182)(38, 185)(39, 204)(40, 209)(41, 211)(42, 210)(43, 212)(44, 199)(45, 213)(46, 215)(47, 214)(48, 216)(49, 200)(50, 202)(51, 201)(52, 203)(53, 205)(54, 207)(55, 206)(56, 208)(57, 225)(58, 227)(59, 226)(60, 228)(61, 229)(62, 231)(63, 230)(64, 232)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 248)(74, 250)(75, 247)(76, 249)(77, 293)(78, 296)(79, 297)(80, 300)(81, 294)(82, 303)(83, 305)(84, 287)(85, 285)(86, 308)(87, 235)(88, 233)(89, 236)(90, 234)(91, 299)(92, 313)(93, 309)(94, 288)(95, 286)(96, 302)(97, 318)(98, 306)(99, 295)(100, 317)(101, 304)(102, 316)(103, 298)(104, 312)(105, 301)(106, 311)(107, 310)(108, 320)(109, 315)(110, 319)(111, 314)(112, 307)(113, 289)(114, 290)(115, 291)(116, 292)(117, 281)(118, 282)(119, 283)(120, 284)(121, 277)(122, 278)(123, 279)(124, 280)(125, 245)(126, 255)(127, 244)(128, 254)(129, 273)(130, 274)(131, 275)(132, 276)(133, 237)(134, 241)(135, 259)(136, 238)(137, 239)(138, 263)(139, 251)(140, 240)(141, 265)(142, 256)(143, 242)(144, 261)(145, 243)(146, 258)(147, 272)(148, 246)(149, 253)(150, 267)(151, 266)(152, 264)(153, 252)(154, 271)(155, 269)(156, 262)(157, 260)(158, 257)(159, 270)(160, 268)(321, 483)(322, 485)(323, 481)(324, 489)(325, 482)(326, 492)(327, 494)(328, 495)(329, 484)(330, 499)(331, 500)(332, 486)(333, 503)(334, 487)(335, 488)(336, 508)(337, 510)(338, 511)(339, 490)(340, 491)(341, 516)(342, 518)(343, 493)(344, 515)(345, 517)(346, 519)(347, 512)(348, 496)(349, 513)(350, 497)(351, 498)(352, 507)(353, 509)(354, 524)(355, 504)(356, 501)(357, 505)(358, 502)(359, 506)(360, 530)(361, 532)(362, 529)(363, 531)(364, 514)(365, 534)(366, 536)(367, 533)(368, 535)(369, 522)(370, 520)(371, 523)(372, 521)(373, 527)(374, 525)(375, 528)(376, 526)(377, 546)(378, 548)(379, 545)(380, 547)(381, 550)(382, 552)(383, 549)(384, 551)(385, 539)(386, 537)(387, 540)(388, 538)(389, 543)(390, 541)(391, 544)(392, 542)(393, 567)(394, 569)(395, 568)(396, 570)(397, 614)(398, 617)(399, 616)(400, 619)(401, 613)(402, 622)(403, 615)(404, 605)(405, 607)(406, 618)(407, 553)(408, 555)(409, 554)(410, 556)(411, 620)(412, 632)(413, 621)(414, 606)(415, 608)(416, 623)(417, 637)(418, 624)(419, 625)(420, 638)(421, 626)(422, 627)(423, 628)(424, 633)(425, 629)(426, 630)(427, 631)(428, 639)(429, 634)(430, 640)(431, 635)(432, 636)(433, 611)(434, 612)(435, 609)(436, 610)(437, 603)(438, 604)(439, 601)(440, 602)(441, 599)(442, 600)(443, 597)(444, 598)(445, 564)(446, 574)(447, 565)(448, 575)(449, 595)(450, 596)(451, 593)(452, 594)(453, 561)(454, 557)(455, 563)(456, 559)(457, 558)(458, 566)(459, 560)(460, 571)(461, 573)(462, 562)(463, 576)(464, 578)(465, 579)(466, 581)(467, 582)(468, 583)(469, 585)(470, 586)(471, 587)(472, 572)(473, 584)(474, 589)(475, 591)(476, 592)(477, 577)(478, 580)(479, 588)(480, 590)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2822
Transitivity :: VT+
Graph:: bipartite
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.2824 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484, 13, 173, 333, 493, 5, 165, 325, 485)(2, 162, 322, 482, 7, 167, 327, 487, 20, 180, 340, 500, 8, 168, 328, 488)(3, 163, 323, 483, 9, 169, 329, 489, 23, 183, 343, 503, 10, 170, 330, 490)(6, 166, 326, 486, 16, 176, 336, 496, 28, 188, 348, 508, 17, 177, 337, 497)(11, 171, 331, 491, 24, 184, 344, 504, 14, 174, 334, 494, 25, 185, 345, 505)(12, 172, 332, 492, 26, 186, 346, 506, 15, 175, 335, 495, 27, 187, 347, 507)(18, 178, 338, 498, 29, 189, 349, 509, 21, 181, 341, 501, 30, 190, 350, 510)(19, 179, 339, 499, 31, 191, 351, 511, 22, 182, 342, 502, 32, 192, 352, 512)(33, 193, 353, 513, 41, 201, 361, 521, 35, 195, 355, 515, 42, 202, 362, 522)(34, 194, 354, 514, 43, 203, 363, 523, 36, 196, 356, 516, 44, 204, 364, 524)(37, 197, 357, 517, 45, 205, 365, 525, 39, 199, 359, 519, 46, 206, 366, 526)(38, 198, 358, 518, 47, 207, 367, 527, 40, 200, 360, 520, 48, 208, 368, 528)(49, 209, 369, 529, 57, 217, 377, 537, 51, 211, 371, 531, 58, 218, 378, 538)(50, 210, 370, 530, 59, 219, 379, 539, 52, 212, 372, 532, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541, 55, 215, 375, 535, 62, 222, 382, 542)(54, 214, 374, 534, 63, 223, 383, 543, 56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553, 67, 227, 387, 547, 74, 234, 394, 554)(66, 226, 386, 546, 75, 235, 395, 555, 68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 129, 289, 449, 609, 71, 231, 391, 551, 133, 293, 453, 613)(70, 230, 390, 550, 131, 291, 451, 611, 72, 232, 392, 552, 135, 295, 455, 615)(77, 237, 397, 557, 139, 299, 459, 619, 89, 249, 409, 569, 141, 301, 461, 621)(78, 238, 398, 558, 144, 304, 464, 624, 96, 256, 416, 576, 146, 306, 466, 626)(79, 239, 399, 559, 149, 309, 469, 629, 99, 259, 419, 579, 151, 311, 471, 631)(80, 240, 400, 560, 142, 302, 462, 622, 81, 241, 401, 561, 148, 308, 468, 628)(82, 242, 402, 562, 157, 317, 477, 637, 104, 264, 424, 584, 158, 318, 478, 638)(83, 243, 403, 563, 137, 297, 457, 617, 84, 244, 404, 564, 156, 316, 476, 636)(85, 245, 405, 565, 153, 313, 473, 633, 86, 246, 406, 566, 138, 298, 458, 618)(87, 247, 407, 567, 130, 290, 450, 610, 90, 250, 410, 570, 134, 294, 454, 614)(88, 248, 408, 568, 136, 296, 456, 616, 91, 251, 411, 571, 132, 292, 452, 612)(92, 252, 412, 572, 147, 307, 467, 627, 93, 253, 413, 573, 143, 303, 463, 623)(94, 254, 414, 574, 125, 285, 445, 605, 97, 257, 417, 577, 127, 287, 447, 607)(95, 255, 415, 575, 128, 288, 448, 608, 98, 258, 418, 578, 126, 286, 446, 606)(100, 260, 420, 580, 152, 312, 472, 632, 101, 261, 421, 581, 154, 314, 474, 634)(102, 262, 422, 582, 155, 315, 475, 635, 103, 263, 423, 583, 140, 300, 460, 620)(105, 265, 425, 585, 150, 310, 470, 630, 106, 266, 426, 586, 159, 319, 479, 639)(107, 267, 427, 587, 160, 320, 480, 640, 108, 268, 428, 588, 145, 305, 465, 625)(109, 269, 429, 589, 123, 283, 443, 603, 111, 271, 431, 591, 121, 281, 441, 601)(110, 270, 430, 590, 122, 282, 442, 602, 112, 272, 432, 592, 124, 284, 444, 604)(113, 273, 433, 593, 119, 279, 439, 599, 115, 275, 435, 595, 117, 277, 437, 597)(114, 274, 434, 594, 118, 278, 438, 598, 116, 276, 436, 596, 120, 280, 440, 600)
	L = (1, 162)(2, 161)(3, 166)(4, 171)(5, 174)(6, 163)(7, 178)(8, 181)(9, 182)(10, 179)(11, 164)(12, 177)(13, 180)(14, 165)(15, 176)(16, 175)(17, 172)(18, 167)(19, 170)(20, 173)(21, 168)(22, 169)(23, 188)(24, 193)(25, 195)(26, 196)(27, 194)(28, 183)(29, 197)(30, 199)(31, 200)(32, 198)(33, 184)(34, 187)(35, 185)(36, 186)(37, 189)(38, 192)(39, 190)(40, 191)(41, 209)(42, 211)(43, 212)(44, 210)(45, 213)(46, 215)(47, 216)(48, 214)(49, 201)(50, 204)(51, 202)(52, 203)(53, 205)(54, 208)(55, 206)(56, 207)(57, 225)(58, 227)(59, 228)(60, 226)(61, 229)(62, 231)(63, 232)(64, 230)(65, 217)(66, 220)(67, 218)(68, 219)(69, 221)(70, 224)(71, 222)(72, 223)(73, 267)(74, 268)(75, 266)(76, 265)(77, 297)(78, 302)(79, 307)(80, 312)(81, 314)(82, 313)(83, 310)(84, 319)(85, 305)(86, 320)(87, 301)(88, 317)(89, 316)(90, 299)(91, 318)(92, 300)(93, 315)(94, 306)(95, 309)(96, 308)(97, 304)(98, 311)(99, 303)(100, 295)(101, 291)(102, 289)(103, 293)(104, 298)(105, 236)(106, 235)(107, 233)(108, 234)(109, 294)(110, 296)(111, 290)(112, 292)(113, 287)(114, 288)(115, 285)(116, 286)(117, 281)(118, 282)(119, 283)(120, 284)(121, 277)(122, 278)(123, 279)(124, 280)(125, 275)(126, 276)(127, 273)(128, 274)(129, 262)(130, 271)(131, 261)(132, 272)(133, 263)(134, 269)(135, 260)(136, 270)(137, 237)(138, 264)(139, 250)(140, 252)(141, 247)(142, 238)(143, 259)(144, 257)(145, 245)(146, 254)(147, 239)(148, 256)(149, 255)(150, 243)(151, 258)(152, 240)(153, 242)(154, 241)(155, 253)(156, 249)(157, 248)(158, 251)(159, 244)(160, 246)(321, 483)(322, 486)(323, 481)(324, 492)(325, 495)(326, 482)(327, 499)(328, 502)(329, 501)(330, 498)(331, 497)(332, 484)(333, 503)(334, 496)(335, 485)(336, 494)(337, 491)(338, 490)(339, 487)(340, 508)(341, 489)(342, 488)(343, 493)(344, 514)(345, 516)(346, 515)(347, 513)(348, 500)(349, 518)(350, 520)(351, 519)(352, 517)(353, 507)(354, 504)(355, 506)(356, 505)(357, 512)(358, 509)(359, 511)(360, 510)(361, 530)(362, 532)(363, 531)(364, 529)(365, 534)(366, 536)(367, 535)(368, 533)(369, 524)(370, 521)(371, 523)(372, 522)(373, 528)(374, 525)(375, 527)(376, 526)(377, 546)(378, 548)(379, 547)(380, 545)(381, 550)(382, 552)(383, 551)(384, 549)(385, 540)(386, 537)(387, 539)(388, 538)(389, 544)(390, 541)(391, 543)(392, 542)(393, 585)(394, 586)(395, 588)(396, 587)(397, 618)(398, 623)(399, 628)(400, 620)(401, 635)(402, 636)(403, 625)(404, 640)(405, 630)(406, 639)(407, 638)(408, 619)(409, 633)(410, 637)(411, 621)(412, 632)(413, 634)(414, 631)(415, 624)(416, 627)(417, 629)(418, 626)(419, 622)(420, 609)(421, 613)(422, 615)(423, 611)(424, 617)(425, 553)(426, 554)(427, 556)(428, 555)(429, 612)(430, 610)(431, 616)(432, 614)(433, 606)(434, 605)(435, 608)(436, 607)(437, 604)(438, 603)(439, 602)(440, 601)(441, 600)(442, 599)(443, 598)(444, 597)(445, 594)(446, 593)(447, 596)(448, 595)(449, 580)(450, 590)(451, 583)(452, 589)(453, 581)(454, 592)(455, 582)(456, 591)(457, 584)(458, 557)(459, 568)(460, 560)(461, 571)(462, 579)(463, 558)(464, 575)(465, 563)(466, 578)(467, 576)(468, 559)(469, 577)(470, 565)(471, 574)(472, 572)(473, 569)(474, 573)(475, 561)(476, 562)(477, 570)(478, 567)(479, 566)(480, 564)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2821
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.2825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 1159>$ (small group id <320, 1159>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1)^20 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 21, 181)(16, 176, 19, 179)(17, 177, 22, 182)(18, 178, 28, 188)(24, 184, 35, 195)(25, 185, 34, 194)(26, 186, 32, 192)(27, 187, 31, 191)(29, 189, 39, 199)(30, 190, 38, 198)(33, 193, 41, 201)(36, 196, 44, 204)(37, 197, 45, 205)(40, 200, 48, 208)(42, 202, 51, 211)(43, 203, 50, 210)(46, 206, 55, 215)(47, 207, 54, 214)(49, 209, 57, 217)(52, 212, 60, 220)(53, 213, 61, 221)(56, 216, 64, 224)(58, 218, 67, 227)(59, 219, 66, 226)(62, 222, 103, 263)(63, 223, 101, 261)(65, 225, 105, 265)(68, 228, 107, 267)(69, 229, 109, 269)(70, 230, 110, 270)(71, 231, 111, 271)(72, 232, 112, 272)(73, 233, 114, 274)(74, 234, 116, 276)(75, 235, 118, 278)(76, 236, 119, 279)(77, 237, 120, 280)(78, 238, 117, 277)(79, 239, 121, 281)(80, 240, 122, 282)(81, 241, 115, 275)(82, 242, 113, 273)(83, 243, 123, 283)(84, 244, 124, 284)(85, 245, 125, 285)(86, 246, 126, 286)(87, 247, 127, 287)(88, 248, 128, 288)(89, 249, 129, 289)(90, 250, 130, 290)(91, 251, 131, 291)(92, 252, 132, 292)(93, 253, 133, 293)(94, 254, 134, 294)(95, 255, 135, 295)(96, 256, 136, 296)(97, 257, 137, 297)(98, 258, 138, 298)(99, 259, 139, 299)(100, 260, 140, 300)(102, 262, 142, 302)(104, 264, 143, 303)(106, 266, 146, 306)(108, 268, 148, 308)(141, 301, 160, 320)(144, 304, 152, 312)(145, 305, 154, 314)(147, 307, 159, 319)(149, 309, 150, 310)(151, 311, 157, 317)(153, 313, 156, 316)(155, 315, 158, 318)(321, 481, 323, 483)(322, 482, 325, 485)(324, 484, 328, 488)(326, 486, 331, 491)(327, 487, 333, 493)(329, 489, 336, 496)(330, 490, 338, 498)(332, 492, 341, 501)(334, 494, 344, 504)(335, 495, 345, 505)(337, 497, 347, 507)(339, 499, 349, 509)(340, 500, 350, 510)(342, 502, 352, 512)(343, 503, 353, 513)(346, 506, 356, 516)(348, 508, 357, 517)(351, 511, 360, 520)(354, 514, 362, 522)(355, 515, 363, 523)(358, 518, 366, 526)(359, 519, 367, 527)(361, 521, 369, 529)(364, 524, 372, 532)(365, 525, 373, 533)(368, 528, 376, 536)(370, 530, 378, 538)(371, 531, 379, 539)(374, 534, 382, 542)(375, 535, 383, 543)(377, 537, 385, 545)(380, 540, 388, 548)(381, 541, 391, 551)(384, 544, 401, 561)(386, 546, 389, 549)(387, 547, 402, 562)(390, 550, 421, 581)(392, 552, 433, 593)(393, 553, 435, 595)(394, 554, 437, 597)(395, 555, 427, 587)(396, 556, 425, 585)(397, 557, 438, 598)(398, 558, 423, 583)(399, 559, 431, 591)(400, 560, 434, 594)(403, 563, 444, 604)(404, 564, 429, 589)(405, 565, 446, 606)(406, 566, 430, 590)(407, 567, 439, 599)(408, 568, 440, 600)(409, 569, 441, 601)(410, 570, 442, 602)(411, 571, 452, 612)(412, 572, 432, 592)(413, 573, 454, 614)(414, 574, 436, 596)(415, 575, 447, 607)(416, 576, 448, 608)(417, 577, 449, 609)(418, 578, 450, 610)(419, 579, 460, 620)(420, 580, 443, 603)(422, 582, 463, 623)(424, 584, 445, 605)(426, 586, 455, 615)(428, 588, 456, 616)(451, 611, 467, 627)(453, 613, 475, 635)(457, 617, 461, 621)(458, 618, 464, 624)(459, 619, 477, 637)(462, 622, 474, 634)(465, 625, 479, 639)(466, 626, 473, 633)(468, 628, 469, 629)(470, 630, 472, 632)(471, 631, 478, 638)(476, 636, 480, 640)
	L = (1, 324)(2, 326)(3, 328)(4, 321)(5, 331)(6, 322)(7, 334)(8, 323)(9, 337)(10, 339)(11, 325)(12, 342)(13, 344)(14, 327)(15, 346)(16, 347)(17, 329)(18, 349)(19, 330)(20, 351)(21, 352)(22, 332)(23, 354)(24, 333)(25, 356)(26, 335)(27, 336)(28, 358)(29, 338)(30, 360)(31, 340)(32, 341)(33, 362)(34, 343)(35, 364)(36, 345)(37, 366)(38, 348)(39, 368)(40, 350)(41, 370)(42, 353)(43, 372)(44, 355)(45, 374)(46, 357)(47, 376)(48, 359)(49, 378)(50, 361)(51, 380)(52, 363)(53, 382)(54, 365)(55, 384)(56, 367)(57, 386)(58, 369)(59, 388)(60, 371)(61, 421)(62, 373)(63, 401)(64, 375)(65, 389)(66, 377)(67, 427)(68, 379)(69, 385)(70, 391)(71, 390)(72, 396)(73, 398)(74, 399)(75, 402)(76, 392)(77, 404)(78, 393)(79, 394)(80, 406)(81, 383)(82, 395)(83, 407)(84, 397)(85, 409)(86, 400)(87, 403)(88, 412)(89, 405)(90, 414)(91, 415)(92, 408)(93, 417)(94, 410)(95, 411)(96, 420)(97, 413)(98, 424)(99, 426)(100, 416)(101, 381)(102, 461)(103, 435)(104, 418)(105, 433)(106, 419)(107, 387)(108, 467)(109, 438)(110, 434)(111, 437)(112, 440)(113, 425)(114, 430)(115, 423)(116, 442)(117, 431)(118, 429)(119, 444)(120, 432)(121, 446)(122, 436)(123, 448)(124, 439)(125, 450)(126, 441)(127, 452)(128, 443)(129, 454)(130, 445)(131, 456)(132, 447)(133, 458)(134, 449)(135, 460)(136, 451)(137, 463)(138, 453)(139, 468)(140, 455)(141, 422)(142, 472)(143, 457)(144, 475)(145, 473)(146, 479)(147, 428)(148, 459)(149, 477)(150, 474)(151, 476)(152, 462)(153, 465)(154, 470)(155, 464)(156, 471)(157, 469)(158, 480)(159, 466)(160, 478)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2831
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 1221>$ (small group id <320, 1221>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^20 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 16, 176)(7, 167, 19, 179)(8, 168, 21, 181)(10, 170, 24, 184)(11, 171, 26, 186)(13, 173, 22, 182)(15, 175, 20, 180)(17, 177, 34, 194)(18, 178, 36, 196)(23, 183, 37, 197)(25, 185, 43, 203)(27, 187, 33, 193)(28, 188, 38, 198)(29, 189, 41, 201)(30, 190, 50, 210)(31, 191, 39, 199)(32, 192, 44, 204)(35, 195, 53, 213)(40, 200, 60, 220)(42, 202, 54, 214)(45, 205, 58, 218)(46, 206, 59, 219)(47, 207, 65, 225)(48, 208, 55, 215)(49, 209, 56, 216)(51, 211, 62, 222)(52, 212, 61, 221)(57, 217, 73, 233)(63, 223, 75, 235)(64, 224, 76, 236)(66, 226, 79, 239)(67, 227, 71, 231)(68, 228, 72, 232)(69, 229, 84, 244)(70, 230, 80, 240)(74, 234, 87, 247)(77, 237, 92, 252)(78, 238, 88, 248)(81, 241, 91, 251)(82, 242, 97, 257)(83, 243, 89, 249)(85, 245, 94, 254)(86, 246, 93, 253)(90, 250, 105, 265)(95, 255, 107, 267)(96, 256, 108, 268)(98, 258, 111, 271)(99, 259, 103, 263)(100, 260, 104, 264)(101, 261, 116, 276)(102, 262, 112, 272)(106, 266, 119, 279)(109, 269, 124, 284)(110, 270, 120, 280)(113, 273, 123, 283)(114, 274, 129, 289)(115, 275, 121, 281)(117, 277, 126, 286)(118, 278, 125, 285)(122, 282, 137, 297)(127, 287, 139, 299)(128, 288, 140, 300)(130, 290, 143, 303)(131, 291, 135, 295)(132, 292, 136, 296)(133, 293, 148, 308)(134, 294, 144, 304)(138, 298, 150, 310)(141, 301, 155, 315)(142, 302, 151, 311)(145, 305, 154, 314)(146, 306, 158, 318)(147, 307, 152, 312)(149, 309, 156, 316)(153, 313, 160, 320)(157, 317, 159, 319)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 338, 498)(328, 488, 337, 497)(329, 489, 340, 500)(332, 492, 347, 507)(333, 493, 336, 496)(334, 494, 346, 506)(335, 495, 345, 505)(339, 499, 357, 517)(341, 501, 356, 516)(342, 502, 355, 515)(343, 503, 360, 520)(344, 504, 364, 524)(348, 508, 368, 528)(349, 509, 369, 529)(350, 510, 353, 513)(351, 511, 365, 525)(352, 512, 367, 527)(354, 514, 374, 534)(358, 518, 378, 538)(359, 519, 379, 539)(361, 521, 375, 535)(362, 522, 377, 537)(363, 523, 381, 541)(366, 526, 384, 544)(370, 530, 387, 547)(371, 531, 373, 533)(372, 532, 386, 546)(376, 536, 392, 552)(380, 540, 395, 555)(382, 542, 394, 554)(383, 543, 397, 557)(385, 545, 400, 560)(388, 548, 403, 563)(389, 549, 391, 551)(390, 550, 402, 562)(393, 553, 408, 568)(396, 556, 411, 571)(398, 558, 410, 570)(399, 559, 413, 573)(401, 561, 416, 576)(404, 564, 419, 579)(405, 565, 407, 567)(406, 566, 418, 578)(409, 569, 424, 584)(412, 572, 427, 587)(414, 574, 426, 586)(415, 575, 429, 589)(417, 577, 432, 592)(420, 580, 435, 595)(421, 581, 423, 583)(422, 582, 434, 594)(425, 585, 440, 600)(428, 588, 443, 603)(430, 590, 442, 602)(431, 591, 445, 605)(433, 593, 448, 608)(436, 596, 451, 611)(437, 597, 439, 599)(438, 598, 450, 610)(441, 601, 456, 616)(444, 604, 459, 619)(446, 606, 458, 618)(447, 607, 461, 621)(449, 609, 464, 624)(452, 612, 467, 627)(453, 613, 455, 615)(454, 614, 466, 626)(457, 617, 471, 631)(460, 620, 474, 634)(462, 622, 473, 633)(463, 623, 476, 636)(465, 625, 477, 637)(468, 628, 478, 638)(469, 629, 470, 630)(472, 632, 479, 639)(475, 635, 480, 640)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 337)(7, 340)(8, 322)(9, 338)(10, 345)(11, 323)(12, 348)(13, 350)(14, 351)(15, 325)(16, 331)(17, 355)(18, 326)(19, 358)(20, 360)(21, 361)(22, 328)(23, 329)(24, 365)(25, 367)(26, 368)(27, 369)(28, 334)(29, 332)(30, 371)(31, 364)(32, 335)(33, 336)(34, 375)(35, 377)(36, 378)(37, 379)(38, 341)(39, 339)(40, 381)(41, 374)(42, 342)(43, 343)(44, 384)(45, 346)(46, 344)(47, 386)(48, 347)(49, 387)(50, 349)(51, 389)(52, 352)(53, 353)(54, 392)(55, 356)(56, 354)(57, 394)(58, 357)(59, 395)(60, 359)(61, 397)(62, 362)(63, 363)(64, 400)(65, 366)(66, 402)(67, 403)(68, 370)(69, 405)(70, 372)(71, 373)(72, 408)(73, 376)(74, 410)(75, 411)(76, 380)(77, 413)(78, 382)(79, 383)(80, 416)(81, 385)(82, 418)(83, 419)(84, 388)(85, 421)(86, 390)(87, 391)(88, 424)(89, 393)(90, 426)(91, 427)(92, 396)(93, 429)(94, 398)(95, 399)(96, 432)(97, 401)(98, 434)(99, 435)(100, 404)(101, 437)(102, 406)(103, 407)(104, 440)(105, 409)(106, 442)(107, 443)(108, 412)(109, 445)(110, 414)(111, 415)(112, 448)(113, 417)(114, 450)(115, 451)(116, 420)(117, 453)(118, 422)(119, 423)(120, 456)(121, 425)(122, 458)(123, 459)(124, 428)(125, 461)(126, 430)(127, 431)(128, 464)(129, 433)(130, 466)(131, 467)(132, 436)(133, 469)(134, 438)(135, 439)(136, 471)(137, 441)(138, 473)(139, 474)(140, 444)(141, 476)(142, 446)(143, 447)(144, 477)(145, 449)(146, 470)(147, 478)(148, 452)(149, 454)(150, 455)(151, 479)(152, 457)(153, 463)(154, 480)(155, 460)(156, 462)(157, 468)(158, 465)(159, 475)(160, 472)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2832
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 1260>$ (small group id <320, 1260>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y2 * Y1 * Y2 * R * Y1)^2, Y3^10, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 16, 176)(7, 167, 19, 179)(8, 168, 21, 181)(10, 170, 26, 186)(11, 171, 28, 188)(13, 173, 22, 182)(15, 175, 20, 180)(17, 177, 40, 200)(18, 178, 42, 202)(23, 183, 51, 211)(24, 184, 48, 208)(25, 185, 44, 204)(27, 187, 55, 215)(29, 189, 54, 214)(30, 190, 39, 199)(31, 191, 45, 205)(32, 192, 49, 209)(33, 193, 65, 225)(34, 194, 38, 198)(35, 195, 46, 206)(36, 196, 68, 228)(37, 197, 70, 230)(41, 201, 74, 234)(43, 203, 73, 233)(47, 207, 84, 244)(50, 210, 87, 247)(52, 212, 92, 252)(53, 213, 94, 254)(56, 216, 91, 251)(57, 217, 83, 243)(58, 218, 82, 242)(59, 219, 100, 260)(60, 220, 90, 250)(61, 221, 86, 246)(62, 222, 103, 263)(63, 223, 77, 237)(64, 224, 76, 236)(66, 226, 88, 248)(67, 227, 80, 240)(69, 229, 85, 245)(71, 231, 113, 273)(72, 232, 115, 275)(75, 235, 112, 272)(78, 238, 121, 281)(79, 239, 111, 271)(81, 241, 124, 284)(89, 249, 125, 285)(93, 253, 132, 292)(95, 255, 116, 276)(96, 256, 129, 289)(97, 257, 126, 286)(98, 258, 135, 295)(99, 259, 134, 294)(101, 261, 137, 297)(102, 262, 123, 283)(104, 264, 110, 270)(105, 265, 118, 278)(106, 266, 130, 290)(107, 267, 143, 303)(108, 268, 117, 277)(109, 269, 127, 287)(114, 274, 146, 306)(119, 279, 149, 309)(120, 280, 148, 308)(122, 282, 151, 311)(128, 288, 157, 317)(131, 291, 159, 319)(133, 293, 154, 314)(136, 296, 152, 312)(138, 298, 150, 310)(139, 299, 156, 316)(140, 300, 147, 307)(141, 301, 158, 318)(142, 302, 153, 313)(144, 304, 155, 315)(145, 305, 160, 320)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 338, 498)(328, 488, 337, 497)(329, 489, 343, 503)(332, 492, 350, 510)(333, 493, 349, 509)(334, 494, 354, 514)(335, 495, 347, 507)(336, 496, 357, 517)(339, 499, 364, 524)(340, 500, 363, 523)(341, 501, 368, 528)(342, 502, 361, 521)(344, 504, 373, 533)(345, 505, 372, 532)(346, 506, 376, 536)(348, 508, 380, 540)(351, 511, 384, 544)(352, 512, 383, 543)(353, 513, 382, 542)(355, 515, 387, 547)(356, 516, 379, 539)(358, 518, 392, 552)(359, 519, 391, 551)(360, 520, 395, 555)(362, 522, 399, 559)(365, 525, 403, 563)(366, 526, 402, 562)(367, 527, 401, 561)(369, 529, 406, 566)(370, 530, 398, 558)(371, 531, 409, 569)(374, 534, 415, 575)(375, 535, 413, 573)(377, 537, 419, 579)(378, 538, 418, 578)(381, 541, 422, 582)(385, 545, 425, 585)(386, 546, 424, 584)(388, 548, 428, 588)(389, 549, 421, 581)(390, 550, 430, 590)(393, 553, 436, 596)(394, 554, 434, 594)(396, 556, 440, 600)(397, 557, 439, 599)(400, 560, 443, 603)(404, 564, 446, 606)(405, 565, 445, 605)(407, 567, 449, 609)(408, 568, 442, 602)(410, 570, 437, 597)(411, 571, 451, 611)(412, 572, 453, 613)(414, 574, 444, 604)(416, 576, 431, 591)(417, 577, 456, 616)(420, 580, 458, 618)(423, 583, 435, 595)(426, 586, 462, 622)(427, 587, 460, 620)(429, 589, 464, 624)(432, 592, 465, 625)(433, 593, 467, 627)(438, 598, 470, 630)(441, 601, 472, 632)(447, 607, 476, 636)(448, 608, 474, 634)(450, 610, 478, 638)(452, 612, 471, 631)(454, 614, 475, 635)(455, 615, 473, 633)(457, 617, 466, 626)(459, 619, 469, 629)(461, 621, 468, 628)(463, 623, 479, 639)(477, 637, 480, 640)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 337)(7, 340)(8, 322)(9, 344)(10, 347)(11, 323)(12, 351)(13, 353)(14, 355)(15, 325)(16, 358)(17, 361)(18, 326)(19, 365)(20, 367)(21, 369)(22, 328)(23, 372)(24, 374)(25, 329)(26, 377)(27, 379)(28, 381)(29, 331)(30, 383)(31, 334)(32, 332)(33, 386)(34, 384)(35, 388)(36, 335)(37, 391)(38, 393)(39, 336)(40, 396)(41, 398)(42, 400)(43, 338)(44, 402)(45, 341)(46, 339)(47, 405)(48, 403)(49, 407)(50, 342)(51, 410)(52, 413)(53, 343)(54, 416)(55, 345)(56, 418)(57, 348)(58, 346)(59, 421)(60, 419)(61, 423)(62, 349)(63, 425)(64, 350)(65, 352)(66, 427)(67, 354)(68, 429)(69, 356)(70, 431)(71, 434)(72, 357)(73, 437)(74, 359)(75, 439)(76, 362)(77, 360)(78, 442)(79, 440)(80, 444)(81, 363)(82, 446)(83, 364)(84, 366)(85, 448)(86, 368)(87, 450)(88, 370)(89, 451)(90, 436)(91, 371)(92, 454)(93, 456)(94, 443)(95, 373)(96, 430)(97, 375)(98, 458)(99, 376)(100, 378)(101, 460)(102, 380)(103, 461)(104, 382)(105, 462)(106, 385)(107, 389)(108, 387)(109, 463)(110, 465)(111, 415)(112, 390)(113, 468)(114, 470)(115, 422)(116, 392)(117, 409)(118, 394)(119, 472)(120, 395)(121, 397)(122, 474)(123, 399)(124, 475)(125, 401)(126, 476)(127, 404)(128, 408)(129, 406)(130, 477)(131, 471)(132, 411)(133, 473)(134, 414)(135, 412)(136, 466)(137, 417)(138, 469)(139, 420)(140, 424)(141, 467)(142, 479)(143, 426)(144, 428)(145, 457)(146, 432)(147, 459)(148, 435)(149, 433)(150, 452)(151, 438)(152, 455)(153, 441)(154, 445)(155, 453)(156, 480)(157, 447)(158, 449)(159, 464)(160, 478)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2833
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 1281>$ (small group id <320, 1281>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-2)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3^-1 * Y1)^2, (Y1 * Y3^4)^2, (Y2 * Y1 * Y2 * R * Y1)^2, Y3^3 * Y1 * Y3^-3 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y3^2 * R * Y3^-2 * Y1 * R * Y2 * Y1 * Y2 * Y3^4 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 16, 176)(7, 167, 19, 179)(8, 168, 21, 181)(10, 170, 26, 186)(11, 171, 28, 188)(13, 173, 22, 182)(15, 175, 20, 180)(17, 177, 40, 200)(18, 178, 42, 202)(23, 183, 51, 211)(24, 184, 48, 208)(25, 185, 44, 204)(27, 187, 55, 215)(29, 189, 54, 214)(30, 190, 39, 199)(31, 191, 45, 205)(32, 192, 49, 209)(33, 193, 65, 225)(34, 194, 38, 198)(35, 195, 46, 206)(36, 196, 68, 228)(37, 197, 70, 230)(41, 201, 74, 234)(43, 203, 73, 233)(47, 207, 84, 244)(50, 210, 87, 247)(52, 212, 92, 252)(53, 213, 94, 254)(56, 216, 91, 251)(57, 217, 83, 243)(58, 218, 82, 242)(59, 219, 100, 260)(60, 220, 90, 250)(61, 221, 86, 246)(62, 222, 103, 263)(63, 223, 77, 237)(64, 224, 76, 236)(66, 226, 88, 248)(67, 227, 80, 240)(69, 229, 85, 245)(71, 231, 114, 274)(72, 232, 116, 276)(75, 235, 113, 273)(78, 238, 122, 282)(79, 239, 112, 272)(81, 241, 125, 285)(89, 249, 126, 286)(93, 253, 134, 294)(95, 255, 117, 277)(96, 256, 130, 290)(97, 257, 127, 287)(98, 258, 137, 297)(99, 259, 136, 296)(101, 261, 123, 283)(102, 262, 124, 284)(104, 264, 111, 271)(105, 265, 119, 279)(106, 266, 131, 291)(107, 267, 138, 298)(108, 268, 118, 278)(109, 269, 128, 288)(110, 270, 143, 303)(115, 275, 145, 305)(120, 280, 148, 308)(121, 281, 147, 307)(129, 289, 149, 309)(132, 292, 154, 314)(133, 293, 155, 315)(135, 295, 152, 312)(139, 299, 150, 310)(140, 300, 153, 313)(141, 301, 146, 306)(142, 302, 151, 311)(144, 304, 158, 318)(156, 316, 159, 319)(157, 317, 160, 320)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 338, 498)(328, 488, 337, 497)(329, 489, 343, 503)(332, 492, 350, 510)(333, 493, 349, 509)(334, 494, 354, 514)(335, 495, 347, 507)(336, 496, 357, 517)(339, 499, 364, 524)(340, 500, 363, 523)(341, 501, 368, 528)(342, 502, 361, 521)(344, 504, 373, 533)(345, 505, 372, 532)(346, 506, 376, 536)(348, 508, 380, 540)(351, 511, 384, 544)(352, 512, 383, 543)(353, 513, 382, 542)(355, 515, 387, 547)(356, 516, 379, 539)(358, 518, 392, 552)(359, 519, 391, 551)(360, 520, 395, 555)(362, 522, 399, 559)(365, 525, 403, 563)(366, 526, 402, 562)(367, 527, 401, 561)(369, 529, 406, 566)(370, 530, 398, 558)(371, 531, 409, 569)(374, 534, 415, 575)(375, 535, 413, 573)(377, 537, 419, 579)(378, 538, 418, 578)(381, 541, 422, 582)(385, 545, 425, 585)(386, 546, 424, 584)(388, 548, 428, 588)(389, 549, 421, 581)(390, 550, 431, 591)(393, 553, 437, 597)(394, 554, 435, 595)(396, 556, 441, 601)(397, 557, 440, 600)(400, 560, 444, 604)(404, 564, 447, 607)(405, 565, 446, 606)(407, 567, 450, 610)(408, 568, 443, 603)(410, 570, 438, 598)(411, 571, 453, 613)(412, 572, 455, 615)(414, 574, 445, 605)(416, 576, 432, 592)(417, 577, 452, 612)(420, 580, 458, 618)(423, 583, 436, 596)(426, 586, 459, 619)(427, 587, 461, 621)(429, 589, 462, 622)(430, 590, 439, 599)(433, 593, 464, 624)(434, 594, 466, 626)(442, 602, 469, 629)(448, 608, 470, 630)(449, 609, 472, 632)(451, 611, 473, 633)(454, 614, 476, 636)(456, 616, 471, 631)(457, 617, 477, 637)(460, 620, 467, 627)(463, 623, 475, 635)(465, 625, 479, 639)(468, 628, 480, 640)(474, 634, 478, 638)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 337)(7, 340)(8, 322)(9, 344)(10, 347)(11, 323)(12, 351)(13, 353)(14, 355)(15, 325)(16, 358)(17, 361)(18, 326)(19, 365)(20, 367)(21, 369)(22, 328)(23, 372)(24, 374)(25, 329)(26, 377)(27, 379)(28, 381)(29, 331)(30, 383)(31, 334)(32, 332)(33, 386)(34, 384)(35, 388)(36, 335)(37, 391)(38, 393)(39, 336)(40, 396)(41, 398)(42, 400)(43, 338)(44, 402)(45, 341)(46, 339)(47, 405)(48, 403)(49, 407)(50, 342)(51, 410)(52, 413)(53, 343)(54, 416)(55, 345)(56, 418)(57, 348)(58, 346)(59, 421)(60, 419)(61, 423)(62, 349)(63, 425)(64, 350)(65, 352)(66, 427)(67, 354)(68, 429)(69, 356)(70, 432)(71, 435)(72, 357)(73, 438)(74, 359)(75, 440)(76, 362)(77, 360)(78, 443)(79, 441)(80, 445)(81, 363)(82, 447)(83, 364)(84, 366)(85, 449)(86, 368)(87, 451)(88, 370)(89, 453)(90, 437)(91, 371)(92, 456)(93, 452)(94, 444)(95, 373)(96, 431)(97, 375)(98, 458)(99, 376)(100, 378)(101, 439)(102, 380)(103, 460)(104, 382)(105, 459)(106, 385)(107, 454)(108, 387)(109, 463)(110, 389)(111, 464)(112, 415)(113, 390)(114, 467)(115, 430)(116, 422)(117, 392)(118, 409)(119, 394)(120, 469)(121, 395)(122, 397)(123, 417)(124, 399)(125, 471)(126, 401)(127, 470)(128, 404)(129, 465)(130, 406)(131, 474)(132, 408)(133, 476)(134, 411)(135, 477)(136, 414)(137, 412)(138, 426)(139, 420)(140, 466)(141, 424)(142, 428)(143, 468)(144, 479)(145, 433)(146, 480)(147, 436)(148, 434)(149, 448)(150, 442)(151, 455)(152, 446)(153, 450)(154, 457)(155, 462)(156, 461)(157, 478)(158, 473)(159, 472)(160, 475)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2834
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 1281>$ (small group id <320, 1281>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 15, 175)(7, 167, 18, 178)(8, 168, 20, 180)(10, 170, 24, 184)(11, 171, 26, 186)(13, 173, 19, 179)(16, 176, 34, 194)(17, 177, 36, 196)(21, 181, 41, 201)(22, 182, 40, 200)(23, 183, 37, 197)(25, 185, 44, 204)(27, 187, 33, 193)(28, 188, 38, 198)(29, 189, 39, 199)(30, 190, 32, 192)(31, 191, 51, 211)(35, 195, 54, 214)(42, 202, 64, 224)(43, 203, 66, 226)(45, 205, 63, 223)(46, 206, 60, 220)(47, 207, 59, 219)(48, 208, 62, 222)(49, 209, 57, 217)(50, 210, 56, 216)(52, 212, 72, 232)(53, 213, 74, 234)(55, 215, 71, 231)(58, 218, 70, 230)(61, 221, 77, 237)(65, 225, 80, 240)(67, 227, 83, 243)(68, 228, 82, 242)(69, 229, 85, 245)(73, 233, 88, 248)(75, 235, 91, 251)(76, 236, 90, 250)(78, 238, 96, 256)(79, 239, 98, 258)(81, 241, 95, 255)(84, 244, 94, 254)(86, 246, 104, 264)(87, 247, 106, 266)(89, 249, 103, 263)(92, 252, 102, 262)(93, 253, 109, 269)(97, 257, 112, 272)(99, 259, 115, 275)(100, 260, 114, 274)(101, 261, 117, 277)(105, 265, 120, 280)(107, 267, 123, 283)(108, 268, 122, 282)(110, 270, 128, 288)(111, 271, 130, 290)(113, 273, 127, 287)(116, 276, 126, 286)(118, 278, 136, 296)(119, 279, 138, 298)(121, 281, 135, 295)(124, 284, 134, 294)(125, 285, 141, 301)(129, 289, 144, 304)(131, 291, 147, 307)(132, 292, 146, 306)(133, 293, 149, 309)(137, 297, 152, 312)(139, 299, 155, 315)(140, 300, 154, 314)(142, 302, 153, 313)(143, 303, 156, 316)(145, 305, 150, 310)(148, 308, 151, 311)(157, 317, 160, 320)(158, 318, 159, 319)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 337, 497)(328, 488, 336, 496)(329, 489, 341, 501)(332, 492, 347, 507)(333, 493, 345, 505)(334, 494, 350, 510)(335, 495, 351, 511)(338, 498, 357, 517)(339, 499, 355, 515)(340, 500, 360, 520)(342, 502, 363, 523)(343, 503, 362, 522)(344, 504, 365, 525)(346, 506, 368, 528)(348, 508, 370, 530)(349, 509, 369, 529)(352, 512, 373, 533)(353, 513, 372, 532)(354, 514, 375, 535)(356, 516, 378, 538)(358, 518, 380, 540)(359, 519, 379, 539)(361, 521, 381, 541)(364, 524, 385, 545)(366, 526, 388, 548)(367, 527, 387, 547)(371, 531, 389, 549)(374, 534, 393, 553)(376, 536, 396, 556)(377, 537, 395, 555)(382, 542, 399, 559)(383, 543, 398, 558)(384, 544, 401, 561)(386, 546, 404, 564)(390, 550, 407, 567)(391, 551, 406, 566)(392, 552, 409, 569)(394, 554, 412, 572)(397, 557, 413, 573)(400, 560, 417, 577)(402, 562, 420, 580)(403, 563, 419, 579)(405, 565, 421, 581)(408, 568, 425, 585)(410, 570, 428, 588)(411, 571, 427, 587)(414, 574, 431, 591)(415, 575, 430, 590)(416, 576, 433, 593)(418, 578, 436, 596)(422, 582, 439, 599)(423, 583, 438, 598)(424, 584, 441, 601)(426, 586, 444, 604)(429, 589, 445, 605)(432, 592, 449, 609)(434, 594, 452, 612)(435, 595, 451, 611)(437, 597, 453, 613)(440, 600, 457, 617)(442, 602, 460, 620)(443, 603, 459, 619)(446, 606, 463, 623)(447, 607, 462, 622)(448, 608, 465, 625)(450, 610, 468, 628)(454, 614, 471, 631)(455, 615, 470, 630)(456, 616, 473, 633)(458, 618, 476, 636)(461, 621, 472, 632)(464, 624, 469, 629)(466, 626, 478, 638)(467, 627, 477, 637)(474, 634, 480, 640)(475, 635, 479, 639)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 336)(7, 339)(8, 322)(9, 342)(10, 345)(11, 323)(12, 348)(13, 325)(14, 349)(15, 352)(16, 355)(17, 326)(18, 358)(19, 328)(20, 359)(21, 362)(22, 364)(23, 329)(24, 366)(25, 331)(26, 367)(27, 369)(28, 334)(29, 332)(30, 370)(31, 372)(32, 374)(33, 335)(34, 376)(35, 337)(36, 377)(37, 379)(38, 340)(39, 338)(40, 380)(41, 382)(42, 385)(43, 341)(44, 343)(45, 387)(46, 346)(47, 344)(48, 388)(49, 350)(50, 347)(51, 390)(52, 393)(53, 351)(54, 353)(55, 395)(56, 356)(57, 354)(58, 396)(59, 360)(60, 357)(61, 398)(62, 400)(63, 361)(64, 402)(65, 363)(66, 403)(67, 368)(68, 365)(69, 406)(70, 408)(71, 371)(72, 410)(73, 373)(74, 411)(75, 378)(76, 375)(77, 414)(78, 417)(79, 381)(80, 383)(81, 419)(82, 386)(83, 384)(84, 420)(85, 422)(86, 425)(87, 389)(88, 391)(89, 427)(90, 394)(91, 392)(92, 428)(93, 430)(94, 432)(95, 397)(96, 434)(97, 399)(98, 435)(99, 404)(100, 401)(101, 438)(102, 440)(103, 405)(104, 442)(105, 407)(106, 443)(107, 412)(108, 409)(109, 446)(110, 449)(111, 413)(112, 415)(113, 451)(114, 418)(115, 416)(116, 452)(117, 454)(118, 457)(119, 421)(120, 423)(121, 459)(122, 426)(123, 424)(124, 460)(125, 462)(126, 464)(127, 429)(128, 466)(129, 431)(130, 467)(131, 436)(132, 433)(133, 470)(134, 472)(135, 437)(136, 474)(137, 439)(138, 475)(139, 444)(140, 441)(141, 471)(142, 469)(143, 445)(144, 447)(145, 477)(146, 450)(147, 448)(148, 478)(149, 463)(150, 461)(151, 453)(152, 455)(153, 479)(154, 458)(155, 456)(156, 480)(157, 468)(158, 465)(159, 476)(160, 473)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2835
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 1325>$ (small group id <320, 1325>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 15, 175)(7, 167, 18, 178)(8, 168, 20, 180)(10, 170, 24, 184)(11, 171, 26, 186)(13, 173, 19, 179)(16, 176, 34, 194)(17, 177, 36, 196)(21, 181, 41, 201)(22, 182, 40, 200)(23, 183, 37, 197)(25, 185, 44, 204)(27, 187, 33, 193)(28, 188, 38, 198)(29, 189, 39, 199)(30, 190, 32, 192)(31, 191, 51, 211)(35, 195, 54, 214)(42, 202, 64, 224)(43, 203, 66, 226)(45, 205, 63, 223)(46, 206, 60, 220)(47, 207, 59, 219)(48, 208, 62, 222)(49, 209, 57, 217)(50, 210, 56, 216)(52, 212, 72, 232)(53, 213, 74, 234)(55, 215, 71, 231)(58, 218, 70, 230)(61, 221, 77, 237)(65, 225, 80, 240)(67, 227, 83, 243)(68, 228, 82, 242)(69, 229, 85, 245)(73, 233, 88, 248)(75, 235, 91, 251)(76, 236, 90, 250)(78, 238, 96, 256)(79, 239, 98, 258)(81, 241, 95, 255)(84, 244, 94, 254)(86, 246, 104, 264)(87, 247, 106, 266)(89, 249, 103, 263)(92, 252, 102, 262)(93, 253, 109, 269)(97, 257, 112, 272)(99, 259, 115, 275)(100, 260, 114, 274)(101, 261, 117, 277)(105, 265, 120, 280)(107, 267, 123, 283)(108, 268, 122, 282)(110, 270, 128, 288)(111, 271, 130, 290)(113, 273, 127, 287)(116, 276, 126, 286)(118, 278, 136, 296)(119, 279, 138, 298)(121, 281, 135, 295)(124, 284, 134, 294)(125, 285, 141, 301)(129, 289, 144, 304)(131, 291, 147, 307)(132, 292, 146, 306)(133, 293, 149, 309)(137, 297, 152, 312)(139, 299, 155, 315)(140, 300, 154, 314)(142, 302, 151, 311)(143, 303, 150, 310)(145, 305, 156, 316)(148, 308, 153, 313)(157, 317, 160, 320)(158, 318, 159, 319)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 337, 497)(328, 488, 336, 496)(329, 489, 341, 501)(332, 492, 347, 507)(333, 493, 345, 505)(334, 494, 350, 510)(335, 495, 351, 511)(338, 498, 357, 517)(339, 499, 355, 515)(340, 500, 360, 520)(342, 502, 363, 523)(343, 503, 362, 522)(344, 504, 365, 525)(346, 506, 368, 528)(348, 508, 370, 530)(349, 509, 369, 529)(352, 512, 373, 533)(353, 513, 372, 532)(354, 514, 375, 535)(356, 516, 378, 538)(358, 518, 380, 540)(359, 519, 379, 539)(361, 521, 381, 541)(364, 524, 385, 545)(366, 526, 388, 548)(367, 527, 387, 547)(371, 531, 389, 549)(374, 534, 393, 553)(376, 536, 396, 556)(377, 537, 395, 555)(382, 542, 399, 559)(383, 543, 398, 558)(384, 544, 401, 561)(386, 546, 404, 564)(390, 550, 407, 567)(391, 551, 406, 566)(392, 552, 409, 569)(394, 554, 412, 572)(397, 557, 413, 573)(400, 560, 417, 577)(402, 562, 420, 580)(403, 563, 419, 579)(405, 565, 421, 581)(408, 568, 425, 585)(410, 570, 428, 588)(411, 571, 427, 587)(414, 574, 431, 591)(415, 575, 430, 590)(416, 576, 433, 593)(418, 578, 436, 596)(422, 582, 439, 599)(423, 583, 438, 598)(424, 584, 441, 601)(426, 586, 444, 604)(429, 589, 445, 605)(432, 592, 449, 609)(434, 594, 452, 612)(435, 595, 451, 611)(437, 597, 453, 613)(440, 600, 457, 617)(442, 602, 460, 620)(443, 603, 459, 619)(446, 606, 463, 623)(447, 607, 462, 622)(448, 608, 465, 625)(450, 610, 468, 628)(454, 614, 471, 631)(455, 615, 470, 630)(456, 616, 473, 633)(458, 618, 476, 636)(461, 621, 474, 634)(464, 624, 477, 637)(466, 626, 469, 629)(467, 627, 478, 638)(472, 632, 479, 639)(475, 635, 480, 640)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 336)(7, 339)(8, 322)(9, 342)(10, 345)(11, 323)(12, 348)(13, 325)(14, 349)(15, 352)(16, 355)(17, 326)(18, 358)(19, 328)(20, 359)(21, 362)(22, 364)(23, 329)(24, 366)(25, 331)(26, 367)(27, 369)(28, 334)(29, 332)(30, 370)(31, 372)(32, 374)(33, 335)(34, 376)(35, 337)(36, 377)(37, 379)(38, 340)(39, 338)(40, 380)(41, 382)(42, 385)(43, 341)(44, 343)(45, 387)(46, 346)(47, 344)(48, 388)(49, 350)(50, 347)(51, 390)(52, 393)(53, 351)(54, 353)(55, 395)(56, 356)(57, 354)(58, 396)(59, 360)(60, 357)(61, 398)(62, 400)(63, 361)(64, 402)(65, 363)(66, 403)(67, 368)(68, 365)(69, 406)(70, 408)(71, 371)(72, 410)(73, 373)(74, 411)(75, 378)(76, 375)(77, 414)(78, 417)(79, 381)(80, 383)(81, 419)(82, 386)(83, 384)(84, 420)(85, 422)(86, 425)(87, 389)(88, 391)(89, 427)(90, 394)(91, 392)(92, 428)(93, 430)(94, 432)(95, 397)(96, 434)(97, 399)(98, 435)(99, 404)(100, 401)(101, 438)(102, 440)(103, 405)(104, 442)(105, 407)(106, 443)(107, 412)(108, 409)(109, 446)(110, 449)(111, 413)(112, 415)(113, 451)(114, 418)(115, 416)(116, 452)(117, 454)(118, 457)(119, 421)(120, 423)(121, 459)(122, 426)(123, 424)(124, 460)(125, 462)(126, 464)(127, 429)(128, 466)(129, 431)(130, 467)(131, 436)(132, 433)(133, 470)(134, 472)(135, 437)(136, 474)(137, 439)(138, 475)(139, 444)(140, 441)(141, 473)(142, 477)(143, 445)(144, 447)(145, 478)(146, 450)(147, 448)(148, 469)(149, 465)(150, 479)(151, 453)(152, 455)(153, 480)(154, 458)(155, 456)(156, 461)(157, 463)(158, 468)(159, 471)(160, 476)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2836
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 1159>$ (small group id <320, 1159>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 6, 166, 5, 165)(3, 163, 9, 169, 14, 174, 11, 171)(4, 164, 12, 172, 15, 175, 8, 168)(7, 167, 16, 176, 13, 173, 18, 178)(10, 170, 21, 181, 24, 184, 20, 180)(17, 177, 27, 187, 23, 183, 26, 186)(19, 179, 29, 189, 22, 182, 31, 191)(25, 185, 33, 193, 28, 188, 35, 195)(30, 190, 39, 199, 32, 192, 38, 198)(34, 194, 43, 203, 36, 196, 42, 202)(37, 197, 45, 205, 40, 200, 47, 207)(41, 201, 49, 209, 44, 204, 51, 211)(46, 206, 55, 215, 48, 208, 54, 214)(50, 210, 59, 219, 52, 212, 58, 218)(53, 213, 61, 221, 56, 216, 63, 223)(57, 217, 65, 225, 60, 220, 67, 227)(62, 222, 71, 231, 64, 224, 70, 230)(66, 226, 107, 267, 68, 228, 105, 265)(69, 229, 109, 269, 72, 232, 112, 272)(73, 233, 113, 273, 76, 236, 114, 274)(74, 234, 115, 275, 75, 235, 116, 276)(77, 237, 117, 277, 80, 240, 118, 278)(78, 238, 119, 279, 79, 239, 120, 280)(81, 241, 121, 281, 82, 242, 122, 282)(83, 243, 123, 283, 84, 244, 124, 284)(85, 245, 125, 285, 86, 246, 126, 286)(87, 247, 127, 287, 88, 248, 128, 288)(89, 249, 129, 289, 90, 250, 130, 290)(91, 251, 131, 291, 92, 252, 132, 292)(93, 253, 133, 293, 94, 254, 134, 294)(95, 255, 135, 295, 96, 256, 136, 296)(97, 257, 137, 297, 98, 258, 138, 298)(99, 259, 139, 299, 100, 260, 140, 300)(101, 261, 141, 301, 102, 262, 142, 302)(103, 263, 143, 303, 104, 264, 144, 304)(106, 266, 146, 306, 108, 268, 147, 307)(110, 270, 150, 310, 111, 271, 151, 311)(145, 305, 160, 320, 148, 308, 159, 319)(149, 309, 158, 318, 152, 312, 157, 317)(153, 313, 155, 315, 154, 314, 156, 316)(321, 481, 323, 483)(322, 482, 327, 487)(324, 484, 330, 490)(325, 485, 333, 493)(326, 486, 334, 494)(328, 488, 337, 497)(329, 489, 339, 499)(331, 491, 342, 502)(332, 492, 343, 503)(335, 495, 344, 504)(336, 496, 345, 505)(338, 498, 348, 508)(340, 500, 350, 510)(341, 501, 352, 512)(346, 506, 354, 514)(347, 507, 356, 516)(349, 509, 357, 517)(351, 511, 360, 520)(353, 513, 361, 521)(355, 515, 364, 524)(358, 518, 366, 526)(359, 519, 368, 528)(362, 522, 370, 530)(363, 523, 372, 532)(365, 525, 373, 533)(367, 527, 376, 536)(369, 529, 377, 537)(371, 531, 380, 540)(374, 534, 382, 542)(375, 535, 384, 544)(378, 538, 386, 546)(379, 539, 388, 548)(381, 541, 389, 549)(383, 543, 392, 552)(385, 545, 397, 557)(387, 547, 400, 560)(390, 550, 393, 553)(391, 551, 396, 556)(394, 554, 425, 585)(395, 555, 427, 587)(398, 558, 434, 594)(399, 559, 433, 593)(401, 561, 436, 596)(402, 562, 435, 595)(403, 563, 429, 589)(404, 564, 432, 592)(405, 565, 437, 597)(406, 566, 438, 598)(407, 567, 440, 600)(408, 568, 439, 599)(409, 569, 442, 602)(410, 570, 441, 601)(411, 571, 443, 603)(412, 572, 444, 604)(413, 573, 445, 605)(414, 574, 446, 606)(415, 575, 448, 608)(416, 576, 447, 607)(417, 577, 450, 610)(418, 578, 449, 609)(419, 579, 451, 611)(420, 580, 452, 612)(421, 581, 453, 613)(422, 582, 454, 614)(423, 583, 456, 616)(424, 584, 455, 615)(426, 586, 458, 618)(428, 588, 457, 617)(430, 590, 459, 619)(431, 591, 460, 620)(461, 621, 465, 625)(462, 622, 468, 628)(463, 623, 472, 632)(464, 624, 469, 629)(466, 626, 478, 638)(467, 627, 477, 637)(470, 630, 474, 634)(471, 631, 473, 633)(475, 635, 479, 639)(476, 636, 480, 640)
	L = (1, 324)(2, 328)(3, 330)(4, 321)(5, 332)(6, 335)(7, 337)(8, 322)(9, 340)(10, 323)(11, 341)(12, 325)(13, 343)(14, 344)(15, 326)(16, 346)(17, 327)(18, 347)(19, 350)(20, 329)(21, 331)(22, 352)(23, 333)(24, 334)(25, 354)(26, 336)(27, 338)(28, 356)(29, 358)(30, 339)(31, 359)(32, 342)(33, 362)(34, 345)(35, 363)(36, 348)(37, 366)(38, 349)(39, 351)(40, 368)(41, 370)(42, 353)(43, 355)(44, 372)(45, 374)(46, 357)(47, 375)(48, 360)(49, 378)(50, 361)(51, 379)(52, 364)(53, 382)(54, 365)(55, 367)(56, 384)(57, 386)(58, 369)(59, 371)(60, 388)(61, 390)(62, 373)(63, 391)(64, 376)(65, 425)(66, 377)(67, 427)(68, 380)(69, 393)(70, 381)(71, 383)(72, 396)(73, 389)(74, 397)(75, 400)(76, 392)(77, 394)(78, 403)(79, 404)(80, 395)(81, 405)(82, 406)(83, 398)(84, 399)(85, 401)(86, 402)(87, 411)(88, 412)(89, 413)(90, 414)(91, 407)(92, 408)(93, 409)(94, 410)(95, 419)(96, 420)(97, 421)(98, 422)(99, 415)(100, 416)(101, 417)(102, 418)(103, 430)(104, 431)(105, 385)(106, 465)(107, 387)(108, 468)(109, 434)(110, 423)(111, 424)(112, 433)(113, 432)(114, 429)(115, 438)(116, 437)(117, 436)(118, 435)(119, 444)(120, 443)(121, 446)(122, 445)(123, 440)(124, 439)(125, 442)(126, 441)(127, 452)(128, 451)(129, 454)(130, 453)(131, 448)(132, 447)(133, 450)(134, 449)(135, 460)(136, 459)(137, 462)(138, 461)(139, 456)(140, 455)(141, 458)(142, 457)(143, 471)(144, 470)(145, 426)(146, 479)(147, 480)(148, 428)(149, 474)(150, 464)(151, 463)(152, 473)(153, 472)(154, 469)(155, 478)(156, 477)(157, 476)(158, 475)(159, 466)(160, 467)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2825
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 1221>$ (small group id <320, 1221>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 16, 176, 13, 173)(4, 164, 9, 169, 6, 166, 10, 170)(8, 168, 17, 177, 15, 175, 19, 179)(12, 172, 22, 182, 14, 174, 23, 183)(18, 178, 26, 186, 20, 180, 27, 187)(21, 181, 29, 189, 24, 184, 31, 191)(25, 185, 33, 193, 28, 188, 35, 195)(30, 190, 38, 198, 32, 192, 39, 199)(34, 194, 42, 202, 36, 196, 43, 203)(37, 197, 45, 205, 40, 200, 47, 207)(41, 201, 49, 209, 44, 204, 51, 211)(46, 206, 54, 214, 48, 208, 55, 215)(50, 210, 58, 218, 52, 212, 59, 219)(53, 213, 61, 221, 56, 216, 63, 223)(57, 217, 65, 225, 60, 220, 67, 227)(62, 222, 70, 230, 64, 224, 71, 231)(66, 226, 75, 235, 68, 228, 84, 244)(69, 229, 76, 236, 72, 232, 78, 238)(73, 233, 114, 274, 79, 239, 113, 273)(74, 234, 119, 279, 77, 237, 122, 282)(80, 240, 111, 271, 81, 241, 109, 269)(82, 242, 117, 277, 83, 243, 130, 290)(85, 245, 120, 280, 86, 246, 126, 286)(87, 247, 128, 288, 88, 248, 124, 284)(89, 249, 134, 294, 90, 250, 132, 292)(91, 251, 136, 296, 92, 252, 138, 298)(93, 253, 141, 301, 94, 254, 143, 303)(95, 255, 147, 307, 96, 256, 145, 305)(97, 257, 151, 311, 98, 258, 149, 309)(99, 259, 153, 313, 100, 260, 155, 315)(101, 261, 157, 317, 102, 262, 159, 319)(103, 263, 158, 318, 104, 264, 160, 320)(105, 265, 156, 316, 106, 266, 154, 314)(107, 267, 152, 312, 108, 268, 150, 310)(110, 270, 146, 306, 112, 272, 148, 308)(115, 275, 144, 304, 116, 276, 142, 302)(118, 278, 121, 281, 131, 291, 127, 287)(123, 283, 137, 297, 140, 300, 139, 299)(125, 285, 133, 293, 129, 289, 135, 295)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 335, 495)(326, 486, 332, 492)(327, 487, 336, 496)(329, 489, 340, 500)(330, 490, 338, 498)(331, 491, 341, 501)(333, 493, 344, 504)(337, 497, 345, 505)(339, 499, 348, 508)(342, 502, 352, 512)(343, 503, 350, 510)(346, 506, 356, 516)(347, 507, 354, 514)(349, 509, 357, 517)(351, 511, 360, 520)(353, 513, 361, 521)(355, 515, 364, 524)(358, 518, 368, 528)(359, 519, 366, 526)(362, 522, 372, 532)(363, 523, 370, 530)(365, 525, 373, 533)(367, 527, 376, 536)(369, 529, 377, 537)(371, 531, 380, 540)(374, 534, 384, 544)(375, 535, 382, 542)(378, 538, 388, 548)(379, 539, 386, 546)(381, 541, 389, 549)(383, 543, 392, 552)(385, 545, 429, 589)(387, 547, 431, 591)(390, 550, 434, 594)(391, 551, 433, 593)(393, 553, 437, 597)(394, 554, 440, 600)(395, 555, 439, 599)(396, 556, 444, 604)(397, 557, 446, 606)(398, 558, 448, 608)(399, 559, 450, 610)(400, 560, 452, 612)(401, 561, 454, 614)(402, 562, 456, 616)(403, 563, 458, 618)(404, 564, 442, 602)(405, 565, 461, 621)(406, 566, 463, 623)(407, 567, 465, 625)(408, 568, 467, 627)(409, 569, 469, 629)(410, 570, 471, 631)(411, 571, 473, 633)(412, 572, 475, 635)(413, 573, 477, 637)(414, 574, 479, 639)(415, 575, 480, 640)(416, 576, 478, 638)(417, 577, 474, 634)(418, 578, 476, 636)(419, 579, 472, 632)(420, 580, 470, 630)(421, 581, 466, 626)(422, 582, 468, 628)(423, 583, 462, 622)(424, 584, 464, 624)(425, 585, 459, 619)(426, 586, 457, 617)(427, 587, 453, 613)(428, 588, 455, 615)(430, 590, 449, 609)(432, 592, 445, 605)(435, 595, 447, 607)(436, 596, 441, 601)(438, 598, 443, 603)(451, 611, 460, 620)
	L = (1, 324)(2, 329)(3, 332)(4, 327)(5, 330)(6, 321)(7, 326)(8, 338)(9, 325)(10, 322)(11, 342)(12, 336)(13, 343)(14, 323)(15, 340)(16, 334)(17, 346)(18, 335)(19, 347)(20, 328)(21, 350)(22, 333)(23, 331)(24, 352)(25, 354)(26, 339)(27, 337)(28, 356)(29, 358)(30, 344)(31, 359)(32, 341)(33, 362)(34, 348)(35, 363)(36, 345)(37, 366)(38, 351)(39, 349)(40, 368)(41, 370)(42, 355)(43, 353)(44, 372)(45, 374)(46, 360)(47, 375)(48, 357)(49, 378)(50, 364)(51, 379)(52, 361)(53, 382)(54, 367)(55, 365)(56, 384)(57, 386)(58, 371)(59, 369)(60, 388)(61, 390)(62, 376)(63, 391)(64, 373)(65, 395)(66, 380)(67, 404)(68, 377)(69, 433)(70, 383)(71, 381)(72, 434)(73, 398)(74, 401)(75, 387)(76, 393)(77, 400)(78, 399)(79, 396)(80, 394)(81, 397)(82, 408)(83, 407)(84, 385)(85, 410)(86, 409)(87, 402)(88, 403)(89, 405)(90, 406)(91, 416)(92, 415)(93, 418)(94, 417)(95, 411)(96, 412)(97, 413)(98, 414)(99, 424)(100, 423)(101, 426)(102, 425)(103, 419)(104, 420)(105, 421)(106, 422)(107, 436)(108, 435)(109, 442)(110, 460)(111, 439)(112, 443)(113, 392)(114, 389)(115, 427)(116, 428)(117, 444)(118, 445)(119, 429)(120, 452)(121, 453)(122, 431)(123, 430)(124, 450)(125, 451)(126, 454)(127, 455)(128, 437)(129, 438)(130, 448)(131, 449)(132, 446)(133, 447)(134, 440)(135, 441)(136, 465)(137, 466)(138, 467)(139, 468)(140, 432)(141, 469)(142, 470)(143, 471)(144, 472)(145, 458)(146, 459)(147, 456)(148, 457)(149, 463)(150, 464)(151, 461)(152, 462)(153, 480)(154, 479)(155, 478)(156, 477)(157, 474)(158, 473)(159, 476)(160, 475)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2826
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 1260>$ (small group id <320, 1260>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3^-2 * Y1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 19, 179, 13, 173)(4, 164, 15, 175, 20, 180, 10, 170)(6, 166, 18, 178, 21, 181, 9, 169)(8, 168, 22, 182, 17, 177, 24, 184)(12, 172, 30, 190, 37, 197, 29, 189)(14, 174, 33, 193, 38, 198, 28, 188)(16, 176, 26, 186, 39, 199, 35, 195)(23, 183, 43, 203, 34, 194, 42, 202)(25, 185, 46, 206, 36, 196, 41, 201)(27, 187, 47, 207, 32, 192, 49, 209)(31, 191, 51, 211, 56, 216, 53, 213)(40, 200, 57, 217, 45, 205, 59, 219)(44, 204, 61, 221, 55, 215, 63, 223)(48, 208, 68, 228, 52, 212, 67, 227)(50, 210, 71, 231, 54, 214, 66, 226)(58, 218, 76, 236, 62, 222, 75, 235)(60, 220, 79, 239, 64, 224, 74, 234)(65, 225, 81, 241, 70, 230, 83, 243)(69, 229, 85, 245, 72, 232, 87, 247)(73, 233, 89, 249, 78, 238, 91, 251)(77, 237, 93, 253, 80, 240, 95, 255)(82, 242, 100, 260, 86, 246, 99, 259)(84, 244, 103, 263, 88, 248, 98, 258)(90, 250, 108, 268, 94, 254, 107, 267)(92, 252, 111, 271, 96, 256, 106, 266)(97, 257, 113, 273, 102, 262, 115, 275)(101, 261, 117, 277, 104, 264, 119, 279)(105, 265, 121, 281, 110, 270, 123, 283)(109, 269, 125, 285, 112, 272, 127, 287)(114, 274, 132, 292, 118, 278, 131, 291)(116, 276, 135, 295, 120, 280, 130, 290)(122, 282, 140, 300, 126, 286, 139, 299)(124, 284, 143, 303, 128, 288, 138, 298)(129, 289, 145, 305, 134, 294, 147, 307)(133, 293, 149, 309, 136, 296, 151, 311)(137, 297, 153, 313, 142, 302, 155, 315)(141, 301, 157, 317, 144, 304, 159, 319)(146, 306, 158, 318, 150, 310, 154, 314)(148, 308, 160, 320, 152, 312, 156, 316)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 337, 497)(326, 486, 332, 492)(327, 487, 339, 499)(329, 489, 345, 505)(330, 490, 343, 503)(331, 491, 347, 507)(333, 493, 352, 512)(335, 495, 354, 514)(336, 496, 351, 511)(338, 498, 356, 516)(340, 500, 358, 518)(341, 501, 357, 517)(342, 502, 360, 520)(344, 504, 365, 525)(346, 506, 364, 524)(348, 508, 370, 530)(349, 509, 368, 528)(350, 510, 372, 532)(353, 513, 374, 534)(355, 515, 375, 535)(359, 519, 376, 536)(361, 521, 380, 540)(362, 522, 378, 538)(363, 523, 382, 542)(366, 526, 384, 544)(367, 527, 385, 545)(369, 529, 390, 550)(371, 531, 389, 549)(373, 533, 392, 552)(377, 537, 393, 553)(379, 539, 398, 558)(381, 541, 397, 557)(383, 543, 400, 560)(386, 546, 404, 564)(387, 547, 402, 562)(388, 548, 406, 566)(391, 551, 408, 568)(394, 554, 412, 572)(395, 555, 410, 570)(396, 556, 414, 574)(399, 559, 416, 576)(401, 561, 417, 577)(403, 563, 422, 582)(405, 565, 421, 581)(407, 567, 424, 584)(409, 569, 425, 585)(411, 571, 430, 590)(413, 573, 429, 589)(415, 575, 432, 592)(418, 578, 436, 596)(419, 579, 434, 594)(420, 580, 438, 598)(423, 583, 440, 600)(426, 586, 444, 604)(427, 587, 442, 602)(428, 588, 446, 606)(431, 591, 448, 608)(433, 593, 449, 609)(435, 595, 454, 614)(437, 597, 453, 613)(439, 599, 456, 616)(441, 601, 457, 617)(443, 603, 462, 622)(445, 605, 461, 621)(447, 607, 464, 624)(450, 610, 468, 628)(451, 611, 466, 626)(452, 612, 470, 630)(455, 615, 472, 632)(458, 618, 476, 636)(459, 619, 474, 634)(460, 620, 478, 638)(463, 623, 480, 640)(465, 625, 477, 637)(467, 627, 479, 639)(469, 629, 475, 635)(471, 631, 473, 633)
	L = (1, 324)(2, 329)(3, 332)(4, 336)(5, 338)(6, 321)(7, 340)(8, 343)(9, 346)(10, 322)(11, 348)(12, 351)(13, 353)(14, 323)(15, 325)(16, 326)(17, 354)(18, 355)(19, 357)(20, 359)(21, 327)(22, 361)(23, 364)(24, 366)(25, 328)(26, 330)(27, 368)(28, 371)(29, 331)(30, 333)(31, 334)(32, 372)(33, 373)(34, 375)(35, 335)(36, 337)(37, 376)(38, 339)(39, 341)(40, 378)(41, 381)(42, 342)(43, 344)(44, 345)(45, 382)(46, 383)(47, 386)(48, 389)(49, 391)(50, 347)(51, 349)(52, 392)(53, 350)(54, 352)(55, 356)(56, 358)(57, 394)(58, 397)(59, 399)(60, 360)(61, 362)(62, 400)(63, 363)(64, 365)(65, 402)(66, 405)(67, 367)(68, 369)(69, 370)(70, 406)(71, 407)(72, 374)(73, 410)(74, 413)(75, 377)(76, 379)(77, 380)(78, 414)(79, 415)(80, 384)(81, 418)(82, 421)(83, 423)(84, 385)(85, 387)(86, 424)(87, 388)(88, 390)(89, 426)(90, 429)(91, 431)(92, 393)(93, 395)(94, 432)(95, 396)(96, 398)(97, 434)(98, 437)(99, 401)(100, 403)(101, 404)(102, 438)(103, 439)(104, 408)(105, 442)(106, 445)(107, 409)(108, 411)(109, 412)(110, 446)(111, 447)(112, 416)(113, 450)(114, 453)(115, 455)(116, 417)(117, 419)(118, 456)(119, 420)(120, 422)(121, 458)(122, 461)(123, 463)(124, 425)(125, 427)(126, 464)(127, 428)(128, 430)(129, 466)(130, 469)(131, 433)(132, 435)(133, 436)(134, 470)(135, 471)(136, 440)(137, 474)(138, 477)(139, 441)(140, 443)(141, 444)(142, 478)(143, 479)(144, 448)(145, 476)(146, 475)(147, 480)(148, 449)(149, 451)(150, 473)(151, 452)(152, 454)(153, 472)(154, 465)(155, 468)(156, 457)(157, 459)(158, 467)(159, 460)(160, 462)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2827
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
Aut   = $<320, 1281>$ (small group id <320, 1281>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 19, 179, 13, 173)(4, 164, 15, 175, 20, 180, 10, 170)(6, 166, 18, 178, 21, 181, 9, 169)(8, 168, 22, 182, 17, 177, 24, 184)(12, 172, 30, 190, 37, 197, 29, 189)(14, 174, 33, 193, 38, 198, 28, 188)(16, 176, 26, 186, 39, 199, 35, 195)(23, 183, 43, 203, 34, 194, 42, 202)(25, 185, 46, 206, 36, 196, 41, 201)(27, 187, 47, 207, 32, 192, 49, 209)(31, 191, 51, 211, 56, 216, 53, 213)(40, 200, 57, 217, 45, 205, 59, 219)(44, 204, 61, 221, 55, 215, 63, 223)(48, 208, 68, 228, 52, 212, 67, 227)(50, 210, 71, 231, 54, 214, 66, 226)(58, 218, 76, 236, 62, 222, 75, 235)(60, 220, 79, 239, 64, 224, 74, 234)(65, 225, 81, 241, 70, 230, 83, 243)(69, 229, 85, 245, 72, 232, 87, 247)(73, 233, 89, 249, 78, 238, 91, 251)(77, 237, 93, 253, 80, 240, 95, 255)(82, 242, 100, 260, 86, 246, 99, 259)(84, 244, 103, 263, 88, 248, 98, 258)(90, 250, 108, 268, 94, 254, 107, 267)(92, 252, 111, 271, 96, 256, 106, 266)(97, 257, 113, 273, 102, 262, 115, 275)(101, 261, 117, 277, 104, 264, 119, 279)(105, 265, 121, 281, 110, 270, 123, 283)(109, 269, 125, 285, 112, 272, 127, 287)(114, 274, 132, 292, 118, 278, 131, 291)(116, 276, 135, 295, 120, 280, 130, 290)(122, 282, 140, 300, 126, 286, 139, 299)(124, 284, 143, 303, 128, 288, 138, 298)(129, 289, 142, 302, 134, 294, 137, 297)(133, 293, 147, 307, 136, 296, 149, 309)(141, 301, 153, 313, 144, 304, 155, 315)(145, 305, 152, 312, 148, 308, 156, 316)(146, 306, 151, 311, 150, 310, 154, 314)(157, 317, 160, 320, 158, 318, 159, 319)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 337, 497)(326, 486, 332, 492)(327, 487, 339, 499)(329, 489, 345, 505)(330, 490, 343, 503)(331, 491, 347, 507)(333, 493, 352, 512)(335, 495, 354, 514)(336, 496, 351, 511)(338, 498, 356, 516)(340, 500, 358, 518)(341, 501, 357, 517)(342, 502, 360, 520)(344, 504, 365, 525)(346, 506, 364, 524)(348, 508, 370, 530)(349, 509, 368, 528)(350, 510, 372, 532)(353, 513, 374, 534)(355, 515, 375, 535)(359, 519, 376, 536)(361, 521, 380, 540)(362, 522, 378, 538)(363, 523, 382, 542)(366, 526, 384, 544)(367, 527, 385, 545)(369, 529, 390, 550)(371, 531, 389, 549)(373, 533, 392, 552)(377, 537, 393, 553)(379, 539, 398, 558)(381, 541, 397, 557)(383, 543, 400, 560)(386, 546, 404, 564)(387, 547, 402, 562)(388, 548, 406, 566)(391, 551, 408, 568)(394, 554, 412, 572)(395, 555, 410, 570)(396, 556, 414, 574)(399, 559, 416, 576)(401, 561, 417, 577)(403, 563, 422, 582)(405, 565, 421, 581)(407, 567, 424, 584)(409, 569, 425, 585)(411, 571, 430, 590)(413, 573, 429, 589)(415, 575, 432, 592)(418, 578, 436, 596)(419, 579, 434, 594)(420, 580, 438, 598)(423, 583, 440, 600)(426, 586, 444, 604)(427, 587, 442, 602)(428, 588, 446, 606)(431, 591, 448, 608)(433, 593, 449, 609)(435, 595, 454, 614)(437, 597, 453, 613)(439, 599, 456, 616)(441, 601, 457, 617)(443, 603, 462, 622)(445, 605, 461, 621)(447, 607, 464, 624)(450, 610, 466, 626)(451, 611, 465, 625)(452, 612, 468, 628)(455, 615, 470, 630)(458, 618, 472, 632)(459, 619, 471, 631)(460, 620, 474, 634)(463, 623, 476, 636)(467, 627, 477, 637)(469, 629, 478, 638)(473, 633, 479, 639)(475, 635, 480, 640)
	L = (1, 324)(2, 329)(3, 332)(4, 336)(5, 338)(6, 321)(7, 340)(8, 343)(9, 346)(10, 322)(11, 348)(12, 351)(13, 353)(14, 323)(15, 325)(16, 326)(17, 354)(18, 355)(19, 357)(20, 359)(21, 327)(22, 361)(23, 364)(24, 366)(25, 328)(26, 330)(27, 368)(28, 371)(29, 331)(30, 333)(31, 334)(32, 372)(33, 373)(34, 375)(35, 335)(36, 337)(37, 376)(38, 339)(39, 341)(40, 378)(41, 381)(42, 342)(43, 344)(44, 345)(45, 382)(46, 383)(47, 386)(48, 389)(49, 391)(50, 347)(51, 349)(52, 392)(53, 350)(54, 352)(55, 356)(56, 358)(57, 394)(58, 397)(59, 399)(60, 360)(61, 362)(62, 400)(63, 363)(64, 365)(65, 402)(66, 405)(67, 367)(68, 369)(69, 370)(70, 406)(71, 407)(72, 374)(73, 410)(74, 413)(75, 377)(76, 379)(77, 380)(78, 414)(79, 415)(80, 384)(81, 418)(82, 421)(83, 423)(84, 385)(85, 387)(86, 424)(87, 388)(88, 390)(89, 426)(90, 429)(91, 431)(92, 393)(93, 395)(94, 432)(95, 396)(96, 398)(97, 434)(98, 437)(99, 401)(100, 403)(101, 404)(102, 438)(103, 439)(104, 408)(105, 442)(106, 445)(107, 409)(108, 411)(109, 412)(110, 446)(111, 447)(112, 416)(113, 450)(114, 453)(115, 455)(116, 417)(117, 419)(118, 456)(119, 420)(120, 422)(121, 458)(122, 461)(123, 463)(124, 425)(125, 427)(126, 464)(127, 428)(128, 430)(129, 465)(130, 467)(131, 433)(132, 435)(133, 436)(134, 468)(135, 469)(136, 440)(137, 471)(138, 473)(139, 441)(140, 443)(141, 444)(142, 474)(143, 475)(144, 448)(145, 477)(146, 449)(147, 451)(148, 478)(149, 452)(150, 454)(151, 479)(152, 457)(153, 459)(154, 480)(155, 460)(156, 462)(157, 466)(158, 470)(159, 472)(160, 476)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2828
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 1281>$ (small group id <320, 1281>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 19, 179, 13, 173)(4, 164, 15, 175, 20, 180, 10, 170)(6, 166, 18, 178, 21, 181, 9, 169)(8, 168, 22, 182, 17, 177, 24, 184)(12, 172, 30, 190, 37, 197, 29, 189)(14, 174, 33, 193, 38, 198, 28, 188)(16, 176, 26, 186, 39, 199, 35, 195)(23, 183, 43, 203, 34, 194, 42, 202)(25, 185, 46, 206, 36, 196, 41, 201)(27, 187, 47, 207, 32, 192, 49, 209)(31, 191, 51, 211, 56, 216, 53, 213)(40, 200, 57, 217, 45, 205, 59, 219)(44, 204, 61, 221, 55, 215, 63, 223)(48, 208, 68, 228, 52, 212, 67, 227)(50, 210, 71, 231, 54, 214, 66, 226)(58, 218, 76, 236, 62, 222, 75, 235)(60, 220, 79, 239, 64, 224, 74, 234)(65, 225, 81, 241, 70, 230, 83, 243)(69, 229, 85, 245, 72, 232, 87, 247)(73, 233, 89, 249, 78, 238, 91, 251)(77, 237, 93, 253, 80, 240, 95, 255)(82, 242, 100, 260, 86, 246, 99, 259)(84, 244, 103, 263, 88, 248, 98, 258)(90, 250, 108, 268, 94, 254, 107, 267)(92, 252, 111, 271, 96, 256, 106, 266)(97, 257, 113, 273, 102, 262, 115, 275)(101, 261, 117, 277, 104, 264, 119, 279)(105, 265, 121, 281, 110, 270, 123, 283)(109, 269, 125, 285, 112, 272, 127, 287)(114, 274, 132, 292, 118, 278, 131, 291)(116, 276, 135, 295, 120, 280, 130, 290)(122, 282, 140, 300, 126, 286, 139, 299)(124, 284, 143, 303, 128, 288, 138, 298)(129, 289, 145, 305, 134, 294, 147, 307)(133, 293, 149, 309, 136, 296, 151, 311)(137, 297, 153, 313, 142, 302, 155, 315)(141, 301, 157, 317, 144, 304, 159, 319)(146, 306, 154, 314, 150, 310, 158, 318)(148, 308, 156, 316, 152, 312, 160, 320)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 337, 497)(326, 486, 332, 492)(327, 487, 339, 499)(329, 489, 345, 505)(330, 490, 343, 503)(331, 491, 347, 507)(333, 493, 352, 512)(335, 495, 354, 514)(336, 496, 351, 511)(338, 498, 356, 516)(340, 500, 358, 518)(341, 501, 357, 517)(342, 502, 360, 520)(344, 504, 365, 525)(346, 506, 364, 524)(348, 508, 370, 530)(349, 509, 368, 528)(350, 510, 372, 532)(353, 513, 374, 534)(355, 515, 375, 535)(359, 519, 376, 536)(361, 521, 380, 540)(362, 522, 378, 538)(363, 523, 382, 542)(366, 526, 384, 544)(367, 527, 385, 545)(369, 529, 390, 550)(371, 531, 389, 549)(373, 533, 392, 552)(377, 537, 393, 553)(379, 539, 398, 558)(381, 541, 397, 557)(383, 543, 400, 560)(386, 546, 404, 564)(387, 547, 402, 562)(388, 548, 406, 566)(391, 551, 408, 568)(394, 554, 412, 572)(395, 555, 410, 570)(396, 556, 414, 574)(399, 559, 416, 576)(401, 561, 417, 577)(403, 563, 422, 582)(405, 565, 421, 581)(407, 567, 424, 584)(409, 569, 425, 585)(411, 571, 430, 590)(413, 573, 429, 589)(415, 575, 432, 592)(418, 578, 436, 596)(419, 579, 434, 594)(420, 580, 438, 598)(423, 583, 440, 600)(426, 586, 444, 604)(427, 587, 442, 602)(428, 588, 446, 606)(431, 591, 448, 608)(433, 593, 449, 609)(435, 595, 454, 614)(437, 597, 453, 613)(439, 599, 456, 616)(441, 601, 457, 617)(443, 603, 462, 622)(445, 605, 461, 621)(447, 607, 464, 624)(450, 610, 468, 628)(451, 611, 466, 626)(452, 612, 470, 630)(455, 615, 472, 632)(458, 618, 476, 636)(459, 619, 474, 634)(460, 620, 478, 638)(463, 623, 480, 640)(465, 625, 479, 639)(467, 627, 477, 637)(469, 629, 473, 633)(471, 631, 475, 635)
	L = (1, 324)(2, 329)(3, 332)(4, 336)(5, 338)(6, 321)(7, 340)(8, 343)(9, 346)(10, 322)(11, 348)(12, 351)(13, 353)(14, 323)(15, 325)(16, 326)(17, 354)(18, 355)(19, 357)(20, 359)(21, 327)(22, 361)(23, 364)(24, 366)(25, 328)(26, 330)(27, 368)(28, 371)(29, 331)(30, 333)(31, 334)(32, 372)(33, 373)(34, 375)(35, 335)(36, 337)(37, 376)(38, 339)(39, 341)(40, 378)(41, 381)(42, 342)(43, 344)(44, 345)(45, 382)(46, 383)(47, 386)(48, 389)(49, 391)(50, 347)(51, 349)(52, 392)(53, 350)(54, 352)(55, 356)(56, 358)(57, 394)(58, 397)(59, 399)(60, 360)(61, 362)(62, 400)(63, 363)(64, 365)(65, 402)(66, 405)(67, 367)(68, 369)(69, 370)(70, 406)(71, 407)(72, 374)(73, 410)(74, 413)(75, 377)(76, 379)(77, 380)(78, 414)(79, 415)(80, 384)(81, 418)(82, 421)(83, 423)(84, 385)(85, 387)(86, 424)(87, 388)(88, 390)(89, 426)(90, 429)(91, 431)(92, 393)(93, 395)(94, 432)(95, 396)(96, 398)(97, 434)(98, 437)(99, 401)(100, 403)(101, 404)(102, 438)(103, 439)(104, 408)(105, 442)(106, 445)(107, 409)(108, 411)(109, 412)(110, 446)(111, 447)(112, 416)(113, 450)(114, 453)(115, 455)(116, 417)(117, 419)(118, 456)(119, 420)(120, 422)(121, 458)(122, 461)(123, 463)(124, 425)(125, 427)(126, 464)(127, 428)(128, 430)(129, 466)(130, 469)(131, 433)(132, 435)(133, 436)(134, 470)(135, 471)(136, 440)(137, 474)(138, 477)(139, 441)(140, 443)(141, 444)(142, 478)(143, 479)(144, 448)(145, 480)(146, 473)(147, 476)(148, 449)(149, 451)(150, 475)(151, 452)(152, 454)(153, 468)(154, 467)(155, 472)(156, 457)(157, 459)(158, 465)(159, 460)(160, 462)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2829
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 1325>$ (small group id <320, 1325>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 19, 179, 13, 173)(4, 164, 15, 175, 20, 180, 10, 170)(6, 166, 18, 178, 21, 181, 9, 169)(8, 168, 22, 182, 17, 177, 24, 184)(12, 172, 30, 190, 37, 197, 29, 189)(14, 174, 33, 193, 38, 198, 28, 188)(16, 176, 26, 186, 39, 199, 35, 195)(23, 183, 43, 203, 34, 194, 42, 202)(25, 185, 46, 206, 36, 196, 41, 201)(27, 187, 47, 207, 32, 192, 49, 209)(31, 191, 51, 211, 56, 216, 53, 213)(40, 200, 57, 217, 45, 205, 59, 219)(44, 204, 61, 221, 55, 215, 63, 223)(48, 208, 68, 228, 52, 212, 67, 227)(50, 210, 71, 231, 54, 214, 66, 226)(58, 218, 76, 236, 62, 222, 75, 235)(60, 220, 79, 239, 64, 224, 74, 234)(65, 225, 81, 241, 70, 230, 83, 243)(69, 229, 85, 245, 72, 232, 87, 247)(73, 233, 89, 249, 78, 238, 91, 251)(77, 237, 93, 253, 80, 240, 95, 255)(82, 242, 100, 260, 86, 246, 99, 259)(84, 244, 103, 263, 88, 248, 98, 258)(90, 250, 108, 268, 94, 254, 107, 267)(92, 252, 111, 271, 96, 256, 106, 266)(97, 257, 113, 273, 102, 262, 115, 275)(101, 261, 117, 277, 104, 264, 119, 279)(105, 265, 121, 281, 110, 270, 123, 283)(109, 269, 125, 285, 112, 272, 127, 287)(114, 274, 132, 292, 118, 278, 131, 291)(116, 276, 135, 295, 120, 280, 130, 290)(122, 282, 140, 300, 126, 286, 139, 299)(124, 284, 143, 303, 128, 288, 138, 298)(129, 289, 137, 297, 134, 294, 142, 302)(133, 293, 147, 307, 136, 296, 149, 309)(141, 301, 153, 313, 144, 304, 155, 315)(145, 305, 156, 316, 148, 308, 152, 312)(146, 306, 154, 314, 150, 310, 151, 311)(157, 317, 159, 319, 158, 318, 160, 320)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 337, 497)(326, 486, 332, 492)(327, 487, 339, 499)(329, 489, 345, 505)(330, 490, 343, 503)(331, 491, 347, 507)(333, 493, 352, 512)(335, 495, 354, 514)(336, 496, 351, 511)(338, 498, 356, 516)(340, 500, 358, 518)(341, 501, 357, 517)(342, 502, 360, 520)(344, 504, 365, 525)(346, 506, 364, 524)(348, 508, 370, 530)(349, 509, 368, 528)(350, 510, 372, 532)(353, 513, 374, 534)(355, 515, 375, 535)(359, 519, 376, 536)(361, 521, 380, 540)(362, 522, 378, 538)(363, 523, 382, 542)(366, 526, 384, 544)(367, 527, 385, 545)(369, 529, 390, 550)(371, 531, 389, 549)(373, 533, 392, 552)(377, 537, 393, 553)(379, 539, 398, 558)(381, 541, 397, 557)(383, 543, 400, 560)(386, 546, 404, 564)(387, 547, 402, 562)(388, 548, 406, 566)(391, 551, 408, 568)(394, 554, 412, 572)(395, 555, 410, 570)(396, 556, 414, 574)(399, 559, 416, 576)(401, 561, 417, 577)(403, 563, 422, 582)(405, 565, 421, 581)(407, 567, 424, 584)(409, 569, 425, 585)(411, 571, 430, 590)(413, 573, 429, 589)(415, 575, 432, 592)(418, 578, 436, 596)(419, 579, 434, 594)(420, 580, 438, 598)(423, 583, 440, 600)(426, 586, 444, 604)(427, 587, 442, 602)(428, 588, 446, 606)(431, 591, 448, 608)(433, 593, 449, 609)(435, 595, 454, 614)(437, 597, 453, 613)(439, 599, 456, 616)(441, 601, 457, 617)(443, 603, 462, 622)(445, 605, 461, 621)(447, 607, 464, 624)(450, 610, 466, 626)(451, 611, 465, 625)(452, 612, 468, 628)(455, 615, 470, 630)(458, 618, 472, 632)(459, 619, 471, 631)(460, 620, 474, 634)(463, 623, 476, 636)(467, 627, 477, 637)(469, 629, 478, 638)(473, 633, 479, 639)(475, 635, 480, 640)
	L = (1, 324)(2, 329)(3, 332)(4, 336)(5, 338)(6, 321)(7, 340)(8, 343)(9, 346)(10, 322)(11, 348)(12, 351)(13, 353)(14, 323)(15, 325)(16, 326)(17, 354)(18, 355)(19, 357)(20, 359)(21, 327)(22, 361)(23, 364)(24, 366)(25, 328)(26, 330)(27, 368)(28, 371)(29, 331)(30, 333)(31, 334)(32, 372)(33, 373)(34, 375)(35, 335)(36, 337)(37, 376)(38, 339)(39, 341)(40, 378)(41, 381)(42, 342)(43, 344)(44, 345)(45, 382)(46, 383)(47, 386)(48, 389)(49, 391)(50, 347)(51, 349)(52, 392)(53, 350)(54, 352)(55, 356)(56, 358)(57, 394)(58, 397)(59, 399)(60, 360)(61, 362)(62, 400)(63, 363)(64, 365)(65, 402)(66, 405)(67, 367)(68, 369)(69, 370)(70, 406)(71, 407)(72, 374)(73, 410)(74, 413)(75, 377)(76, 379)(77, 380)(78, 414)(79, 415)(80, 384)(81, 418)(82, 421)(83, 423)(84, 385)(85, 387)(86, 424)(87, 388)(88, 390)(89, 426)(90, 429)(91, 431)(92, 393)(93, 395)(94, 432)(95, 396)(96, 398)(97, 434)(98, 437)(99, 401)(100, 403)(101, 404)(102, 438)(103, 439)(104, 408)(105, 442)(106, 445)(107, 409)(108, 411)(109, 412)(110, 446)(111, 447)(112, 416)(113, 450)(114, 453)(115, 455)(116, 417)(117, 419)(118, 456)(119, 420)(120, 422)(121, 458)(122, 461)(123, 463)(124, 425)(125, 427)(126, 464)(127, 428)(128, 430)(129, 465)(130, 467)(131, 433)(132, 435)(133, 436)(134, 468)(135, 469)(136, 440)(137, 471)(138, 473)(139, 441)(140, 443)(141, 444)(142, 474)(143, 475)(144, 448)(145, 477)(146, 449)(147, 451)(148, 478)(149, 452)(150, 454)(151, 479)(152, 457)(153, 459)(154, 480)(155, 460)(156, 462)(157, 466)(158, 470)(159, 472)(160, 476)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2830
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2837 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 400>$ (small group id <320, 400>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y3)^4, (Y3 * Y1)^20 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 161)(3, 167, 7, 163)(4, 169, 9, 164)(5, 171, 11, 165)(6, 173, 13, 166)(8, 172, 12, 168)(10, 174, 14, 170)(15, 185, 25, 175)(16, 186, 26, 176)(17, 187, 27, 177)(18, 189, 29, 178)(19, 190, 30, 179)(20, 191, 31, 180)(21, 192, 32, 181)(22, 193, 33, 182)(23, 195, 35, 183)(24, 196, 36, 184)(28, 194, 34, 188)(37, 207, 47, 197)(38, 208, 48, 198)(39, 209, 49, 199)(40, 210, 50, 200)(41, 211, 51, 201)(42, 212, 52, 202)(43, 213, 53, 203)(44, 214, 54, 204)(45, 215, 55, 205)(46, 216, 56, 206)(57, 225, 65, 217)(58, 226, 66, 218)(59, 227, 67, 219)(60, 228, 68, 220)(61, 229, 69, 221)(62, 230, 70, 222)(63, 231, 71, 223)(64, 232, 72, 224)(73, 273, 113, 233)(74, 275, 115, 234)(75, 277, 117, 235)(76, 279, 119, 236)(77, 281, 121, 237)(78, 283, 123, 238)(79, 285, 125, 239)(80, 287, 127, 240)(81, 290, 130, 241)(82, 293, 133, 242)(83, 288, 128, 243)(84, 296, 136, 244)(85, 299, 139, 245)(86, 297, 137, 246)(87, 303, 143, 247)(88, 300, 140, 248)(89, 306, 146, 249)(90, 309, 149, 250)(91, 307, 147, 251)(92, 313, 153, 252)(93, 310, 150, 253)(94, 291, 131, 254)(95, 308, 148, 255)(96, 314, 154, 256)(97, 311, 151, 257)(98, 317, 157, 258)(99, 319, 159, 259)(100, 298, 138, 260)(101, 304, 144, 261)(102, 301, 141, 262)(103, 320, 160, 263)(104, 318, 158, 264)(105, 289, 129, 265)(106, 312, 152, 266)(107, 292, 132, 267)(108, 315, 155, 268)(109, 284, 124, 269)(110, 302, 142, 270)(111, 286, 126, 271)(112, 305, 145, 272)(114, 282, 122, 274)(116, 295, 135, 276)(118, 294, 134, 278)(120, 316, 156, 280)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 82)(71, 83)(72, 94)(78, 113)(79, 115)(80, 121)(81, 128)(84, 123)(85, 137)(86, 117)(87, 125)(88, 119)(89, 127)(90, 147)(91, 133)(92, 130)(93, 131)(95, 136)(96, 143)(97, 139)(98, 140)(99, 157)(100, 146)(101, 153)(102, 149)(103, 150)(104, 160)(105, 148)(106, 151)(107, 154)(108, 159)(109, 138)(110, 141)(111, 144)(112, 158)(114, 129)(116, 132)(118, 152)(120, 155)(122, 124)(126, 135)(134, 142)(145, 156)(161, 164)(162, 166)(163, 168)(165, 172)(167, 176)(169, 175)(170, 179)(171, 181)(173, 180)(174, 184)(177, 188)(178, 190)(182, 194)(183, 196)(185, 198)(186, 197)(187, 200)(189, 201)(191, 203)(192, 202)(193, 205)(195, 206)(199, 210)(204, 215)(207, 218)(208, 217)(209, 220)(211, 219)(212, 222)(213, 221)(214, 224)(216, 223)(225, 234)(226, 233)(227, 236)(228, 235)(229, 243)(230, 237)(231, 254)(232, 242)(238, 275)(239, 279)(240, 288)(241, 291)(244, 297)(245, 300)(246, 273)(247, 283)(248, 277)(249, 307)(250, 310)(251, 281)(252, 287)(253, 293)(255, 303)(256, 317)(257, 296)(258, 285)(259, 299)(260, 313)(261, 320)(262, 306)(263, 290)(264, 309)(265, 311)(266, 319)(267, 308)(268, 314)(269, 301)(270, 318)(271, 298)(272, 304)(274, 292)(276, 315)(278, 289)(280, 312)(282, 286)(284, 294)(295, 305)(302, 316)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2838
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2838 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 400>$ (small group id <320, 400>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2, (Y1^-1 * Y2 * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 166, 6, 165, 5, 161)(3, 169, 9, 177, 17, 171, 11, 163)(4, 172, 12, 178, 18, 174, 14, 164)(7, 179, 19, 175, 15, 181, 21, 167)(8, 182, 22, 176, 16, 184, 24, 168)(10, 180, 20, 173, 13, 183, 23, 170)(25, 193, 33, 187, 27, 194, 34, 185)(26, 195, 35, 188, 28, 196, 36, 186)(29, 197, 37, 191, 31, 198, 38, 189)(30, 199, 39, 192, 32, 200, 40, 190)(41, 209, 49, 203, 43, 210, 50, 201)(42, 211, 51, 204, 44, 212, 52, 202)(45, 213, 53, 207, 47, 214, 54, 205)(46, 215, 55, 208, 48, 216, 56, 206)(57, 225, 65, 219, 59, 226, 66, 217)(58, 227, 67, 220, 60, 228, 68, 218)(61, 229, 69, 223, 63, 230, 70, 221)(62, 231, 71, 224, 64, 232, 72, 222)(73, 240, 80, 235, 75, 237, 77, 233)(74, 242, 82, 236, 76, 245, 85, 234)(78, 273, 113, 239, 79, 276, 116, 238)(81, 290, 130, 243, 83, 281, 121, 241)(84, 282, 122, 246, 86, 291, 131, 244)(87, 287, 127, 249, 89, 284, 124, 247)(88, 277, 117, 251, 91, 274, 114, 248)(90, 285, 125, 252, 92, 288, 128, 250)(93, 297, 137, 254, 94, 293, 133, 253)(95, 294, 134, 256, 96, 298, 138, 255)(97, 307, 147, 258, 98, 303, 143, 257)(99, 304, 144, 260, 100, 308, 148, 259)(101, 316, 156, 262, 102, 313, 153, 261)(103, 314, 154, 264, 104, 317, 157, 263)(105, 315, 155, 266, 106, 318, 158, 265)(107, 320, 160, 268, 108, 319, 159, 267)(109, 305, 145, 270, 110, 309, 149, 269)(111, 312, 152, 272, 112, 310, 150, 271)(115, 299, 139, 278, 118, 295, 135, 275)(119, 300, 140, 280, 120, 302, 142, 279)(123, 286, 126, 292, 132, 289, 129, 283)(136, 306, 146, 301, 141, 311, 151, 296)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 113)(70, 116)(71, 117)(72, 114)(77, 121)(78, 124)(79, 127)(80, 130)(81, 133)(82, 122)(83, 137)(84, 134)(85, 131)(86, 138)(87, 143)(88, 125)(89, 147)(90, 144)(91, 128)(92, 148)(93, 153)(94, 156)(95, 154)(96, 157)(97, 158)(98, 155)(99, 160)(100, 159)(101, 149)(102, 145)(103, 152)(104, 150)(105, 135)(106, 139)(107, 140)(108, 142)(109, 126)(110, 129)(111, 146)(112, 151)(115, 132)(118, 123)(119, 141)(120, 136)(161, 164)(162, 168)(163, 170)(165, 176)(166, 178)(167, 180)(169, 186)(171, 188)(172, 185)(173, 177)(174, 187)(175, 183)(179, 190)(181, 192)(182, 189)(184, 191)(193, 202)(194, 204)(195, 201)(196, 203)(197, 206)(198, 208)(199, 205)(200, 207)(209, 218)(210, 220)(211, 217)(212, 219)(213, 222)(214, 224)(215, 221)(216, 223)(225, 234)(226, 236)(227, 233)(228, 235)(229, 274)(230, 277)(231, 273)(232, 276)(237, 282)(238, 285)(239, 288)(240, 291)(241, 294)(242, 290)(243, 298)(244, 297)(245, 281)(246, 293)(247, 304)(248, 287)(249, 308)(250, 307)(251, 284)(252, 303)(253, 314)(254, 317)(255, 316)(256, 313)(257, 320)(258, 319)(259, 315)(260, 318)(261, 312)(262, 310)(263, 305)(264, 309)(265, 300)(266, 302)(267, 299)(268, 295)(269, 306)(270, 311)(271, 289)(272, 286)(275, 301)(278, 296)(279, 283)(280, 292)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2837
Transitivity :: VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2839 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 400>$ (small group id <320, 400>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^20 ]
Map:: polytopal
	R = (1, 161, 4, 164)(2, 162, 6, 166)(3, 163, 8, 168)(5, 165, 12, 172)(7, 167, 16, 176)(9, 169, 18, 178)(10, 170, 19, 179)(11, 171, 21, 181)(13, 173, 23, 183)(14, 174, 24, 184)(15, 175, 25, 185)(17, 177, 27, 187)(20, 180, 31, 191)(22, 182, 33, 193)(26, 186, 37, 197)(28, 188, 39, 199)(29, 189, 40, 200)(30, 190, 41, 201)(32, 192, 42, 202)(34, 194, 44, 204)(35, 195, 45, 205)(36, 196, 46, 206)(38, 198, 47, 207)(43, 203, 52, 212)(48, 208, 57, 217)(49, 209, 58, 218)(50, 210, 59, 219)(51, 211, 60, 220)(53, 213, 61, 221)(54, 214, 62, 222)(55, 215, 63, 223)(56, 216, 64, 224)(65, 225, 73, 233)(66, 226, 74, 234)(67, 227, 75, 235)(68, 228, 76, 236)(69, 229, 121, 281)(70, 230, 123, 283)(71, 231, 125, 285)(72, 232, 127, 287)(77, 237, 131, 291)(78, 238, 135, 295)(79, 239, 138, 298)(80, 240, 140, 300)(81, 241, 143, 303)(82, 242, 145, 305)(83, 243, 147, 307)(84, 244, 142, 302)(85, 245, 151, 311)(86, 246, 136, 296)(87, 247, 153, 313)(88, 248, 137, 297)(89, 249, 148, 308)(90, 250, 132, 292)(91, 251, 152, 312)(92, 252, 134, 294)(93, 253, 157, 317)(94, 254, 150, 310)(95, 255, 130, 290)(96, 256, 155, 315)(97, 257, 129, 289)(98, 258, 139, 299)(99, 259, 156, 316)(100, 260, 141, 301)(101, 261, 160, 320)(102, 262, 133, 293)(103, 263, 144, 304)(104, 264, 158, 318)(105, 265, 146, 306)(106, 266, 159, 319)(107, 267, 149, 309)(108, 268, 154, 314)(109, 269, 122, 282)(110, 270, 124, 284)(111, 271, 126, 286)(112, 272, 128, 288)(113, 273, 117, 277)(114, 274, 118, 278)(115, 275, 119, 279)(116, 276, 120, 280)(321, 322)(323, 327)(324, 329)(325, 331)(326, 333)(328, 337)(330, 336)(332, 342)(334, 341)(335, 340)(338, 348)(339, 350)(343, 354)(344, 356)(345, 352)(346, 351)(347, 355)(349, 353)(357, 363)(358, 362)(359, 368)(360, 370)(361, 369)(364, 373)(365, 375)(366, 374)(367, 376)(371, 372)(377, 385)(378, 387)(379, 386)(380, 388)(381, 389)(382, 391)(383, 390)(384, 392)(393, 415)(394, 417)(395, 402)(396, 404)(397, 449)(398, 453)(399, 457)(400, 445)(401, 462)(403, 450)(405, 470)(406, 463)(407, 454)(408, 447)(409, 472)(410, 458)(411, 460)(412, 441)(413, 473)(414, 465)(416, 467)(418, 451)(419, 459)(420, 456)(421, 475)(422, 443)(423, 455)(424, 464)(425, 452)(426, 477)(427, 468)(428, 471)(429, 474)(430, 461)(431, 480)(432, 476)(433, 469)(434, 466)(435, 479)(436, 478)(437, 448)(438, 444)(439, 446)(440, 442)(481, 483)(482, 485)(484, 490)(486, 494)(487, 495)(488, 493)(489, 492)(491, 500)(496, 506)(497, 505)(498, 509)(499, 508)(501, 512)(502, 511)(503, 515)(504, 514)(507, 518)(510, 517)(513, 523)(516, 522)(519, 529)(520, 528)(521, 531)(524, 534)(525, 533)(526, 536)(527, 535)(530, 532)(537, 546)(538, 545)(539, 548)(540, 547)(541, 550)(542, 549)(543, 552)(544, 551)(553, 562)(554, 575)(555, 564)(556, 577)(557, 610)(558, 614)(559, 613)(560, 601)(561, 609)(563, 625)(565, 627)(566, 630)(567, 620)(568, 605)(569, 633)(570, 632)(571, 617)(572, 603)(573, 615)(574, 622)(576, 611)(578, 623)(579, 635)(580, 619)(581, 631)(582, 607)(583, 618)(584, 637)(585, 624)(586, 628)(587, 612)(588, 616)(589, 640)(590, 634)(591, 636)(592, 621)(593, 639)(594, 629)(595, 638)(596, 626)(597, 606)(598, 608)(599, 602)(600, 604)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2842
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.2840 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 400>$ (small group id <320, 400>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164, 14, 174, 5, 165)(2, 162, 7, 167, 22, 182, 8, 168)(3, 163, 10, 170, 17, 177, 11, 171)(6, 166, 18, 178, 9, 169, 19, 179)(12, 172, 25, 185, 15, 175, 26, 186)(13, 173, 27, 187, 16, 176, 28, 188)(20, 180, 29, 189, 23, 183, 30, 190)(21, 181, 31, 191, 24, 184, 32, 192)(33, 193, 41, 201, 35, 195, 42, 202)(34, 194, 43, 203, 36, 196, 44, 204)(37, 197, 45, 205, 39, 199, 46, 206)(38, 198, 47, 207, 40, 200, 48, 208)(49, 209, 57, 217, 51, 211, 58, 218)(50, 210, 59, 219, 52, 212, 60, 220)(53, 213, 61, 221, 55, 215, 62, 222)(54, 214, 63, 223, 56, 216, 64, 224)(65, 225, 73, 233, 67, 227, 74, 234)(66, 226, 75, 235, 68, 228, 76, 236)(69, 229, 83, 243, 71, 231, 80, 240)(70, 230, 86, 246, 72, 232, 77, 237)(78, 238, 114, 274, 79, 239, 117, 277)(81, 241, 121, 281, 82, 242, 130, 290)(84, 244, 138, 298, 85, 245, 122, 282)(87, 247, 113, 273, 88, 248, 116, 276)(89, 249, 124, 284, 90, 250, 127, 287)(91, 251, 128, 288, 92, 252, 125, 285)(93, 253, 132, 292, 94, 254, 135, 295)(95, 255, 136, 296, 96, 256, 133, 293)(97, 257, 145, 305, 98, 258, 148, 308)(99, 259, 149, 309, 100, 260, 146, 306)(101, 261, 153, 313, 102, 262, 156, 316)(103, 263, 157, 317, 104, 264, 154, 314)(105, 265, 159, 319, 106, 266, 160, 320)(107, 267, 155, 315, 108, 268, 158, 318)(109, 269, 151, 311, 110, 270, 152, 312)(111, 271, 147, 307, 112, 272, 150, 310)(115, 275, 141, 301, 118, 278, 140, 300)(119, 279, 137, 297, 120, 280, 134, 294)(123, 283, 126, 286, 142, 302, 129, 289)(131, 291, 143, 303, 139, 299, 144, 304)(321, 322)(323, 329)(324, 332)(325, 335)(326, 337)(327, 340)(328, 343)(330, 344)(331, 341)(333, 339)(334, 342)(336, 338)(345, 353)(346, 355)(347, 356)(348, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 433)(394, 436)(395, 437)(396, 434)(397, 441)(398, 444)(399, 447)(400, 442)(401, 452)(402, 455)(403, 458)(404, 453)(405, 456)(406, 450)(407, 445)(408, 448)(409, 465)(410, 468)(411, 466)(412, 469)(413, 473)(414, 476)(415, 474)(416, 477)(417, 479)(418, 480)(419, 478)(420, 475)(421, 471)(422, 472)(423, 470)(424, 467)(425, 461)(426, 460)(427, 454)(428, 457)(429, 464)(430, 463)(431, 446)(432, 449)(435, 451)(438, 459)(439, 462)(440, 443)(481, 483)(482, 486)(484, 493)(485, 496)(487, 501)(488, 504)(489, 502)(490, 500)(491, 503)(492, 498)(494, 497)(495, 499)(505, 514)(506, 516)(507, 513)(508, 515)(509, 518)(510, 520)(511, 517)(512, 519)(521, 530)(522, 532)(523, 529)(524, 531)(525, 534)(526, 536)(527, 533)(528, 535)(537, 546)(538, 548)(539, 545)(540, 547)(541, 550)(542, 552)(543, 549)(544, 551)(553, 594)(554, 597)(555, 593)(556, 596)(557, 602)(558, 605)(559, 608)(560, 610)(561, 613)(562, 616)(563, 601)(564, 615)(565, 612)(566, 618)(567, 607)(568, 604)(569, 626)(570, 629)(571, 628)(572, 625)(573, 634)(574, 637)(575, 636)(576, 633)(577, 638)(578, 635)(579, 640)(580, 639)(581, 630)(582, 627)(583, 632)(584, 631)(585, 614)(586, 617)(587, 620)(588, 621)(589, 606)(590, 609)(591, 623)(592, 624)(595, 622)(598, 603)(599, 619)(600, 611)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2841
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.2841 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 400>$ (small group id <320, 400>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, (Y3 * Y2)^20 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484)(2, 162, 322, 482, 6, 166, 326, 486)(3, 163, 323, 483, 8, 168, 328, 488)(5, 165, 325, 485, 12, 172, 332, 492)(7, 167, 327, 487, 16, 176, 336, 496)(9, 169, 329, 489, 18, 178, 338, 498)(10, 170, 330, 490, 19, 179, 339, 499)(11, 171, 331, 491, 21, 181, 341, 501)(13, 173, 333, 493, 23, 183, 343, 503)(14, 174, 334, 494, 24, 184, 344, 504)(15, 175, 335, 495, 25, 185, 345, 505)(17, 177, 337, 497, 27, 187, 347, 507)(20, 180, 340, 500, 31, 191, 351, 511)(22, 182, 342, 502, 33, 193, 353, 513)(26, 186, 346, 506, 37, 197, 357, 517)(28, 188, 348, 508, 39, 199, 359, 519)(29, 189, 349, 509, 40, 200, 360, 520)(30, 190, 350, 510, 41, 201, 361, 521)(32, 192, 352, 512, 42, 202, 362, 522)(34, 194, 354, 514, 44, 204, 364, 524)(35, 195, 355, 515, 45, 205, 365, 525)(36, 196, 356, 516, 46, 206, 366, 526)(38, 198, 358, 518, 47, 207, 367, 527)(43, 203, 363, 523, 52, 212, 372, 532)(48, 208, 368, 528, 57, 217, 377, 537)(49, 209, 369, 529, 58, 218, 378, 538)(50, 210, 370, 530, 59, 219, 379, 539)(51, 211, 371, 531, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541)(54, 214, 374, 534, 62, 222, 382, 542)(55, 215, 375, 535, 63, 223, 383, 543)(56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553)(66, 226, 386, 546, 74, 234, 394, 554)(67, 227, 387, 547, 75, 235, 395, 555)(68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 80, 240, 400, 560)(70, 230, 390, 550, 90, 250, 410, 570)(71, 231, 391, 551, 86, 246, 406, 566)(72, 232, 392, 552, 98, 258, 418, 578)(77, 237, 397, 557, 121, 281, 441, 601)(78, 238, 398, 558, 129, 289, 449, 609)(79, 239, 399, 559, 131, 291, 451, 611)(81, 241, 401, 561, 123, 283, 443, 603)(82, 242, 402, 562, 122, 282, 442, 602)(83, 243, 403, 563, 125, 285, 445, 605)(84, 244, 404, 564, 134, 294, 454, 614)(85, 245, 405, 565, 132, 292, 452, 612)(87, 247, 407, 567, 127, 287, 447, 607)(88, 248, 408, 568, 138, 298, 458, 618)(89, 249, 409, 569, 139, 299, 459, 619)(91, 251, 411, 571, 128, 288, 448, 608)(92, 252, 412, 572, 124, 284, 444, 604)(93, 253, 413, 573, 126, 286, 446, 606)(94, 254, 414, 574, 133, 293, 453, 613)(95, 255, 415, 575, 135, 295, 455, 615)(96, 256, 416, 576, 144, 304, 464, 624)(97, 257, 417, 577, 136, 296, 456, 616)(99, 259, 419, 579, 130, 290, 450, 610)(100, 260, 420, 580, 140, 300, 460, 620)(101, 261, 421, 581, 143, 303, 463, 623)(102, 262, 422, 582, 141, 301, 461, 621)(103, 263, 423, 583, 142, 302, 462, 622)(104, 264, 424, 584, 137, 297, 457, 617)(105, 265, 425, 585, 145, 305, 465, 625)(106, 266, 426, 586, 148, 308, 468, 628)(107, 267, 427, 587, 146, 306, 466, 626)(108, 268, 428, 588, 147, 307, 467, 627)(109, 269, 429, 589, 149, 309, 469, 629)(110, 270, 430, 590, 152, 312, 472, 632)(111, 271, 431, 591, 150, 310, 470, 630)(112, 272, 432, 592, 151, 311, 471, 631)(113, 273, 433, 593, 153, 313, 473, 633)(114, 274, 434, 594, 156, 316, 476, 636)(115, 275, 435, 595, 154, 314, 474, 634)(116, 276, 436, 596, 155, 315, 475, 635)(117, 277, 437, 597, 157, 317, 477, 637)(118, 278, 438, 598, 160, 320, 480, 640)(119, 279, 439, 599, 158, 318, 478, 638)(120, 280, 440, 600, 159, 319, 479, 639)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 177)(9, 164)(10, 176)(11, 165)(12, 182)(13, 166)(14, 181)(15, 180)(16, 170)(17, 168)(18, 188)(19, 190)(20, 175)(21, 174)(22, 172)(23, 194)(24, 196)(25, 192)(26, 191)(27, 195)(28, 178)(29, 193)(30, 179)(31, 186)(32, 185)(33, 189)(34, 183)(35, 187)(36, 184)(37, 203)(38, 202)(39, 208)(40, 210)(41, 209)(42, 198)(43, 197)(44, 213)(45, 215)(46, 214)(47, 216)(48, 199)(49, 201)(50, 200)(51, 212)(52, 211)(53, 204)(54, 206)(55, 205)(56, 207)(57, 225)(58, 227)(59, 226)(60, 228)(61, 229)(62, 231)(63, 230)(64, 232)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 281)(74, 283)(75, 282)(76, 284)(77, 285)(78, 287)(79, 288)(80, 289)(81, 286)(82, 294)(83, 295)(84, 296)(85, 298)(86, 292)(87, 300)(88, 301)(89, 290)(90, 291)(91, 303)(92, 293)(93, 304)(94, 297)(95, 305)(96, 306)(97, 308)(98, 299)(99, 302)(100, 309)(101, 310)(102, 312)(103, 311)(104, 307)(105, 313)(106, 314)(107, 316)(108, 315)(109, 317)(110, 318)(111, 320)(112, 319)(113, 277)(114, 279)(115, 278)(116, 280)(117, 273)(118, 275)(119, 274)(120, 276)(121, 233)(122, 235)(123, 234)(124, 236)(125, 237)(126, 241)(127, 238)(128, 239)(129, 240)(130, 249)(131, 250)(132, 246)(133, 252)(134, 242)(135, 243)(136, 244)(137, 254)(138, 245)(139, 258)(140, 247)(141, 248)(142, 259)(143, 251)(144, 253)(145, 255)(146, 256)(147, 264)(148, 257)(149, 260)(150, 261)(151, 263)(152, 262)(153, 265)(154, 266)(155, 268)(156, 267)(157, 269)(158, 270)(159, 272)(160, 271)(321, 483)(322, 485)(323, 481)(324, 490)(325, 482)(326, 494)(327, 495)(328, 493)(329, 492)(330, 484)(331, 500)(332, 489)(333, 488)(334, 486)(335, 487)(336, 506)(337, 505)(338, 509)(339, 508)(340, 491)(341, 512)(342, 511)(343, 515)(344, 514)(345, 497)(346, 496)(347, 518)(348, 499)(349, 498)(350, 517)(351, 502)(352, 501)(353, 523)(354, 504)(355, 503)(356, 522)(357, 510)(358, 507)(359, 529)(360, 528)(361, 531)(362, 516)(363, 513)(364, 534)(365, 533)(366, 536)(367, 535)(368, 520)(369, 519)(370, 532)(371, 521)(372, 530)(373, 525)(374, 524)(375, 527)(376, 526)(377, 546)(378, 545)(379, 548)(380, 547)(381, 550)(382, 549)(383, 552)(384, 551)(385, 538)(386, 537)(387, 540)(388, 539)(389, 542)(390, 541)(391, 544)(392, 543)(393, 602)(394, 601)(395, 604)(396, 603)(397, 606)(398, 608)(399, 610)(400, 612)(401, 613)(402, 605)(403, 616)(404, 617)(405, 607)(406, 619)(407, 621)(408, 622)(409, 618)(410, 609)(411, 620)(412, 614)(413, 615)(414, 624)(415, 626)(416, 627)(417, 625)(418, 611)(419, 623)(420, 630)(421, 631)(422, 629)(423, 632)(424, 628)(425, 634)(426, 635)(427, 633)(428, 636)(429, 638)(430, 639)(431, 637)(432, 640)(433, 599)(434, 600)(435, 597)(436, 598)(437, 595)(438, 596)(439, 593)(440, 594)(441, 554)(442, 553)(443, 556)(444, 555)(445, 562)(446, 557)(447, 565)(448, 558)(449, 570)(450, 559)(451, 578)(452, 560)(453, 561)(454, 572)(455, 573)(456, 563)(457, 564)(458, 569)(459, 566)(460, 571)(461, 567)(462, 568)(463, 579)(464, 574)(465, 577)(466, 575)(467, 576)(468, 584)(469, 582)(470, 580)(471, 581)(472, 583)(473, 587)(474, 585)(475, 586)(476, 588)(477, 591)(478, 589)(479, 590)(480, 592)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2840
Transitivity :: VT+
Graph:: bipartite
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.2842 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x C4 x D10) : C2 (small group id <160, 116>)
Aut   = $<320, 400>$ (small group id <320, 400>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484, 14, 174, 334, 494, 5, 165, 325, 485)(2, 162, 322, 482, 7, 167, 327, 487, 22, 182, 342, 502, 8, 168, 328, 488)(3, 163, 323, 483, 10, 170, 330, 490, 17, 177, 337, 497, 11, 171, 331, 491)(6, 166, 326, 486, 18, 178, 338, 498, 9, 169, 329, 489, 19, 179, 339, 499)(12, 172, 332, 492, 25, 185, 345, 505, 15, 175, 335, 495, 26, 186, 346, 506)(13, 173, 333, 493, 27, 187, 347, 507, 16, 176, 336, 496, 28, 188, 348, 508)(20, 180, 340, 500, 29, 189, 349, 509, 23, 183, 343, 503, 30, 190, 350, 510)(21, 181, 341, 501, 31, 191, 351, 511, 24, 184, 344, 504, 32, 192, 352, 512)(33, 193, 353, 513, 41, 201, 361, 521, 35, 195, 355, 515, 42, 202, 362, 522)(34, 194, 354, 514, 43, 203, 363, 523, 36, 196, 356, 516, 44, 204, 364, 524)(37, 197, 357, 517, 45, 205, 365, 525, 39, 199, 359, 519, 46, 206, 366, 526)(38, 198, 358, 518, 47, 207, 367, 527, 40, 200, 360, 520, 48, 208, 368, 528)(49, 209, 369, 529, 57, 217, 377, 537, 51, 211, 371, 531, 58, 218, 378, 538)(50, 210, 370, 530, 59, 219, 379, 539, 52, 212, 372, 532, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541, 55, 215, 375, 535, 62, 222, 382, 542)(54, 214, 374, 534, 63, 223, 383, 543, 56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553, 67, 227, 387, 547, 74, 234, 394, 554)(66, 226, 386, 546, 75, 235, 395, 555, 68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 118, 278, 438, 598, 71, 231, 391, 551, 117, 277, 437, 597)(70, 230, 390, 550, 119, 279, 439, 599, 72, 232, 392, 552, 120, 280, 440, 600)(77, 237, 397, 557, 141, 301, 461, 621, 90, 250, 410, 570, 142, 302, 462, 622)(78, 238, 398, 558, 143, 303, 463, 623, 98, 258, 418, 578, 144, 304, 464, 624)(79, 239, 399, 559, 145, 305, 465, 625, 93, 253, 413, 573, 146, 306, 466, 626)(80, 240, 400, 560, 147, 307, 467, 627, 81, 241, 401, 561, 148, 308, 468, 628)(82, 242, 402, 562, 149, 309, 469, 629, 85, 245, 405, 565, 150, 310, 470, 630)(83, 243, 403, 563, 151, 311, 471, 631, 84, 244, 404, 564, 152, 312, 472, 632)(86, 246, 406, 566, 153, 313, 473, 633, 87, 247, 407, 567, 154, 314, 474, 634)(88, 248, 408, 568, 135, 295, 455, 615, 91, 251, 411, 571, 133, 293, 453, 613)(89, 249, 409, 569, 136, 296, 456, 616, 92, 252, 412, 572, 134, 294, 454, 614)(94, 254, 414, 574, 155, 315, 475, 635, 95, 255, 415, 575, 156, 316, 476, 636)(96, 256, 416, 576, 131, 291, 451, 611, 99, 259, 419, 579, 129, 289, 449, 609)(97, 257, 417, 577, 132, 292, 452, 612, 100, 260, 420, 580, 130, 290, 450, 610)(101, 261, 421, 581, 157, 317, 477, 637, 102, 262, 422, 582, 158, 318, 478, 638)(103, 263, 423, 583, 159, 319, 479, 639, 104, 264, 424, 584, 160, 320, 480, 640)(105, 265, 425, 585, 139, 299, 459, 619, 106, 266, 426, 586, 137, 297, 457, 617)(107, 267, 427, 587, 138, 298, 458, 618, 108, 268, 428, 588, 140, 300, 460, 620)(109, 269, 429, 589, 125, 285, 445, 605, 111, 271, 431, 591, 127, 287, 447, 607)(110, 270, 430, 590, 126, 286, 446, 606, 112, 272, 432, 592, 128, 288, 448, 608)(113, 273, 433, 593, 121, 281, 441, 601, 115, 275, 435, 595, 123, 283, 443, 603)(114, 274, 434, 594, 122, 282, 442, 602, 116, 276, 436, 596, 124, 284, 444, 604)
	L = (1, 162)(2, 161)(3, 169)(4, 172)(5, 175)(6, 177)(7, 180)(8, 183)(9, 163)(10, 184)(11, 181)(12, 164)(13, 179)(14, 182)(15, 165)(16, 178)(17, 166)(18, 176)(19, 173)(20, 167)(21, 171)(22, 174)(23, 168)(24, 170)(25, 193)(26, 195)(27, 196)(28, 194)(29, 197)(30, 199)(31, 200)(32, 198)(33, 185)(34, 188)(35, 186)(36, 187)(37, 189)(38, 192)(39, 190)(40, 191)(41, 209)(42, 211)(43, 212)(44, 210)(45, 213)(46, 215)(47, 216)(48, 214)(49, 201)(50, 204)(51, 202)(52, 203)(53, 205)(54, 208)(55, 206)(56, 207)(57, 225)(58, 227)(59, 228)(60, 226)(61, 229)(62, 231)(63, 232)(64, 230)(65, 217)(66, 220)(67, 218)(68, 219)(69, 221)(70, 224)(71, 222)(72, 223)(73, 297)(74, 299)(75, 300)(76, 298)(77, 293)(78, 289)(79, 292)(80, 303)(81, 304)(82, 296)(83, 301)(84, 302)(85, 294)(86, 310)(87, 309)(88, 287)(89, 286)(90, 295)(91, 285)(92, 288)(93, 290)(94, 306)(95, 305)(96, 283)(97, 282)(98, 291)(99, 281)(100, 284)(101, 307)(102, 308)(103, 316)(104, 315)(105, 311)(106, 312)(107, 314)(108, 313)(109, 273)(110, 276)(111, 275)(112, 274)(113, 269)(114, 272)(115, 271)(116, 270)(117, 317)(118, 318)(119, 320)(120, 319)(121, 259)(122, 257)(123, 256)(124, 260)(125, 251)(126, 249)(127, 248)(128, 252)(129, 238)(130, 253)(131, 258)(132, 239)(133, 237)(134, 245)(135, 250)(136, 242)(137, 233)(138, 236)(139, 234)(140, 235)(141, 243)(142, 244)(143, 240)(144, 241)(145, 255)(146, 254)(147, 261)(148, 262)(149, 247)(150, 246)(151, 265)(152, 266)(153, 268)(154, 267)(155, 264)(156, 263)(157, 277)(158, 278)(159, 280)(160, 279)(321, 483)(322, 486)(323, 481)(324, 493)(325, 496)(326, 482)(327, 501)(328, 504)(329, 502)(330, 500)(331, 503)(332, 498)(333, 484)(334, 497)(335, 499)(336, 485)(337, 494)(338, 492)(339, 495)(340, 490)(341, 487)(342, 489)(343, 491)(344, 488)(345, 514)(346, 516)(347, 513)(348, 515)(349, 518)(350, 520)(351, 517)(352, 519)(353, 507)(354, 505)(355, 508)(356, 506)(357, 511)(358, 509)(359, 512)(360, 510)(361, 530)(362, 532)(363, 529)(364, 531)(365, 534)(366, 536)(367, 533)(368, 535)(369, 523)(370, 521)(371, 524)(372, 522)(373, 527)(374, 525)(375, 528)(376, 526)(377, 546)(378, 548)(379, 545)(380, 547)(381, 550)(382, 552)(383, 549)(384, 551)(385, 539)(386, 537)(387, 540)(388, 538)(389, 543)(390, 541)(391, 544)(392, 542)(393, 618)(394, 620)(395, 617)(396, 619)(397, 616)(398, 612)(399, 611)(400, 626)(401, 625)(402, 615)(403, 630)(404, 629)(405, 613)(406, 622)(407, 621)(408, 606)(409, 605)(410, 614)(411, 608)(412, 607)(413, 609)(414, 624)(415, 623)(416, 602)(417, 601)(418, 610)(419, 604)(420, 603)(421, 636)(422, 635)(423, 628)(424, 627)(425, 634)(426, 633)(427, 632)(428, 631)(429, 596)(430, 595)(431, 594)(432, 593)(433, 592)(434, 591)(435, 590)(436, 589)(437, 640)(438, 639)(439, 638)(440, 637)(441, 577)(442, 576)(443, 580)(444, 579)(445, 569)(446, 568)(447, 572)(448, 571)(449, 573)(450, 578)(451, 559)(452, 558)(453, 565)(454, 570)(455, 562)(456, 557)(457, 555)(458, 553)(459, 556)(460, 554)(461, 567)(462, 566)(463, 575)(464, 574)(465, 561)(466, 560)(467, 584)(468, 583)(469, 564)(470, 563)(471, 588)(472, 587)(473, 586)(474, 585)(475, 582)(476, 581)(477, 600)(478, 599)(479, 598)(480, 597)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2839
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.2843 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 161)(3, 167, 7, 163)(4, 169, 9, 164)(5, 170, 10, 165)(6, 172, 12, 166)(8, 175, 15, 168)(11, 180, 20, 171)(13, 183, 23, 173)(14, 185, 25, 174)(16, 188, 28, 176)(17, 190, 30, 177)(18, 191, 31, 178)(19, 193, 33, 179)(21, 196, 36, 181)(22, 198, 38, 182)(24, 194, 34, 184)(26, 192, 32, 186)(27, 197, 37, 187)(29, 195, 35, 189)(39, 209, 49, 199)(40, 210, 50, 200)(41, 211, 51, 201)(42, 212, 52, 202)(43, 208, 48, 203)(44, 213, 53, 204)(45, 214, 54, 205)(46, 215, 55, 206)(47, 216, 56, 207)(57, 225, 65, 217)(58, 226, 66, 218)(59, 227, 67, 219)(60, 228, 68, 220)(61, 229, 69, 221)(62, 230, 70, 222)(63, 231, 71, 223)(64, 232, 72, 224)(73, 238, 78, 233)(74, 247, 87, 234)(75, 244, 84, 235)(76, 263, 103, 236)(77, 277, 117, 237)(79, 287, 127, 239)(80, 291, 131, 240)(81, 285, 125, 241)(82, 294, 134, 242)(83, 279, 119, 243)(85, 289, 129, 245)(86, 297, 137, 246)(88, 290, 130, 248)(89, 301, 141, 249)(90, 292, 132, 250)(91, 304, 144, 251)(92, 278, 118, 252)(93, 293, 133, 253)(94, 308, 148, 254)(95, 286, 126, 255)(96, 305, 145, 256)(97, 288, 128, 257)(98, 298, 138, 258)(99, 295, 135, 259)(100, 299, 139, 260)(101, 296, 136, 261)(102, 300, 140, 262)(104, 302, 142, 264)(105, 306, 146, 265)(106, 303, 143, 266)(107, 307, 147, 267)(108, 280, 120, 268)(109, 309, 149, 269)(110, 311, 151, 270)(111, 310, 150, 271)(112, 312, 152, 272)(113, 313, 153, 273)(114, 315, 155, 274)(115, 314, 154, 275)(116, 316, 156, 276)(121, 317, 157, 281)(122, 319, 159, 282)(123, 318, 158, 283)(124, 320, 160, 284)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 40)(30, 42)(31, 44)(33, 46)(35, 48)(36, 45)(38, 47)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 117)(70, 119)(71, 118)(72, 120)(77, 125)(78, 127)(79, 129)(80, 130)(81, 132)(82, 133)(83, 126)(84, 128)(85, 135)(86, 136)(87, 131)(88, 139)(89, 140)(90, 142)(91, 143)(92, 134)(93, 146)(94, 147)(95, 144)(96, 148)(97, 137)(98, 141)(99, 149)(100, 150)(101, 151)(102, 152)(103, 138)(104, 153)(105, 154)(106, 155)(107, 156)(108, 145)(109, 157)(110, 158)(111, 159)(112, 160)(113, 124)(114, 123)(115, 122)(116, 121)(161, 164)(162, 166)(163, 168)(165, 171)(167, 174)(169, 177)(170, 179)(172, 182)(173, 184)(175, 187)(176, 189)(178, 192)(180, 195)(181, 197)(183, 200)(185, 202)(186, 203)(188, 199)(190, 201)(191, 205)(193, 207)(194, 208)(196, 204)(198, 206)(209, 218)(210, 220)(211, 217)(212, 219)(213, 222)(214, 224)(215, 221)(216, 223)(225, 234)(226, 236)(227, 233)(228, 235)(229, 278)(230, 280)(231, 277)(232, 279)(237, 286)(238, 288)(239, 290)(240, 289)(241, 293)(242, 292)(243, 285)(244, 287)(245, 296)(246, 295)(247, 298)(248, 300)(249, 299)(250, 303)(251, 302)(252, 305)(253, 307)(254, 306)(255, 308)(256, 304)(257, 301)(258, 297)(259, 310)(260, 309)(261, 312)(262, 311)(263, 291)(264, 314)(265, 313)(266, 316)(267, 315)(268, 294)(269, 318)(270, 317)(271, 320)(272, 319)(273, 283)(274, 284)(275, 281)(276, 282)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2845
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2844 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 449>$ (small group id <320, 449>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y3)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 161)(3, 167, 7, 163)(4, 169, 9, 164)(5, 171, 11, 165)(6, 173, 13, 166)(8, 172, 12, 168)(10, 174, 14, 170)(15, 185, 25, 175)(16, 186, 26, 176)(17, 187, 27, 177)(18, 189, 29, 178)(19, 190, 30, 179)(20, 191, 31, 180)(21, 192, 32, 181)(22, 193, 33, 182)(23, 195, 35, 183)(24, 196, 36, 184)(28, 194, 34, 188)(37, 207, 47, 197)(38, 208, 48, 198)(39, 209, 49, 199)(40, 210, 50, 200)(41, 211, 51, 201)(42, 212, 52, 202)(43, 213, 53, 203)(44, 214, 54, 204)(45, 215, 55, 205)(46, 216, 56, 206)(57, 225, 65, 217)(58, 226, 66, 218)(59, 227, 67, 219)(60, 228, 68, 220)(61, 229, 69, 221)(62, 230, 70, 222)(63, 231, 71, 223)(64, 232, 72, 224)(73, 273, 113, 233)(74, 275, 115, 234)(75, 277, 117, 235)(76, 279, 119, 236)(77, 281, 121, 237)(78, 283, 123, 238)(79, 285, 125, 239)(80, 287, 127, 240)(81, 290, 130, 241)(82, 293, 133, 242)(83, 288, 128, 243)(84, 296, 136, 244)(85, 299, 139, 245)(86, 297, 137, 246)(87, 303, 143, 247)(88, 300, 140, 248)(89, 306, 146, 249)(90, 309, 149, 250)(91, 307, 147, 251)(92, 313, 153, 252)(93, 310, 150, 253)(94, 291, 131, 254)(95, 317, 157, 255)(96, 311, 151, 256)(97, 314, 154, 257)(98, 319, 159, 258)(99, 308, 148, 259)(100, 320, 160, 260)(101, 301, 141, 261)(102, 304, 144, 262)(103, 318, 158, 263)(104, 298, 138, 264)(105, 315, 155, 265)(106, 292, 132, 266)(107, 312, 152, 267)(108, 289, 129, 268)(109, 305, 145, 269)(110, 286, 126, 270)(111, 302, 142, 271)(112, 284, 124, 272)(114, 316, 156, 274)(116, 294, 134, 276)(118, 295, 135, 278)(120, 282, 122, 280)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 28)(21, 33)(24, 34)(25, 37)(26, 39)(29, 38)(30, 40)(31, 42)(32, 44)(35, 43)(36, 45)(41, 50)(46, 55)(47, 57)(48, 59)(49, 58)(51, 60)(52, 61)(53, 63)(54, 62)(56, 64)(65, 73)(66, 75)(67, 74)(68, 76)(69, 77)(70, 82)(71, 83)(72, 94)(78, 113)(79, 115)(80, 121)(81, 128)(84, 123)(85, 137)(86, 117)(87, 125)(88, 119)(89, 127)(90, 147)(91, 133)(92, 130)(93, 131)(95, 136)(96, 143)(97, 139)(98, 140)(99, 159)(100, 146)(101, 153)(102, 149)(103, 150)(104, 158)(105, 157)(106, 154)(107, 151)(108, 148)(109, 160)(110, 144)(111, 141)(112, 138)(114, 155)(116, 152)(118, 132)(120, 129)(122, 145)(124, 156)(126, 134)(135, 142)(161, 164)(162, 166)(163, 168)(165, 172)(167, 176)(169, 175)(170, 179)(171, 181)(173, 180)(174, 184)(177, 188)(178, 190)(182, 194)(183, 196)(185, 198)(186, 197)(187, 200)(189, 201)(191, 203)(192, 202)(193, 205)(195, 206)(199, 210)(204, 215)(207, 218)(208, 217)(209, 220)(211, 219)(212, 222)(213, 221)(214, 224)(216, 223)(225, 234)(226, 233)(227, 236)(228, 235)(229, 243)(230, 237)(231, 254)(232, 242)(238, 275)(239, 279)(240, 288)(241, 291)(244, 297)(245, 300)(246, 273)(247, 283)(248, 277)(249, 307)(250, 310)(251, 281)(252, 287)(253, 293)(255, 303)(256, 319)(257, 296)(258, 285)(259, 299)(260, 313)(261, 318)(262, 306)(263, 290)(264, 309)(265, 314)(266, 308)(267, 317)(268, 311)(269, 304)(270, 298)(271, 320)(272, 301)(274, 312)(276, 289)(278, 315)(280, 292)(282, 302)(284, 295)(286, 316)(294, 305)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2846
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2845 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 166, 6, 165, 5, 161)(3, 169, 9, 176, 16, 171, 11, 163)(4, 172, 12, 177, 17, 173, 13, 164)(7, 178, 18, 174, 14, 180, 20, 167)(8, 181, 21, 175, 15, 182, 22, 168)(10, 185, 25, 188, 28, 179, 19, 170)(23, 193, 33, 186, 26, 194, 34, 183)(24, 195, 35, 187, 27, 196, 36, 184)(29, 197, 37, 191, 31, 198, 38, 189)(30, 199, 39, 192, 32, 200, 40, 190)(41, 209, 49, 203, 43, 210, 50, 201)(42, 211, 51, 204, 44, 212, 52, 202)(45, 213, 53, 207, 47, 214, 54, 205)(46, 215, 55, 208, 48, 216, 56, 206)(57, 225, 65, 219, 59, 226, 66, 217)(58, 227, 67, 220, 60, 228, 68, 218)(61, 229, 69, 223, 63, 230, 70, 221)(62, 231, 71, 224, 64, 232, 72, 222)(73, 250, 90, 235, 75, 243, 83, 233)(74, 244, 84, 236, 76, 251, 91, 234)(77, 289, 129, 242, 82, 293, 133, 237)(78, 294, 134, 241, 81, 298, 138, 238)(79, 284, 124, 252, 92, 281, 121, 239)(80, 282, 122, 253, 93, 285, 125, 240)(85, 305, 145, 247, 87, 290, 130, 245)(86, 312, 152, 260, 100, 308, 148, 246)(88, 306, 146, 249, 89, 291, 131, 248)(94, 302, 142, 256, 96, 295, 135, 254)(95, 299, 139, 259, 99, 317, 157, 255)(97, 303, 143, 258, 98, 296, 136, 257)(101, 304, 144, 262, 102, 297, 137, 261)(103, 314, 154, 264, 104, 311, 151, 263)(105, 292, 132, 266, 106, 307, 147, 265)(107, 313, 153, 268, 108, 320, 160, 267)(109, 300, 140, 270, 110, 318, 158, 269)(111, 301, 141, 272, 112, 319, 159, 271)(113, 309, 149, 274, 114, 315, 155, 273)(115, 310, 150, 276, 116, 316, 156, 275)(117, 286, 126, 278, 118, 283, 123, 277)(119, 287, 127, 280, 120, 288, 128, 279)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 27)(13, 24)(15, 25)(17, 28)(18, 29)(20, 31)(21, 32)(22, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 121)(70, 124)(71, 125)(72, 122)(77, 130)(78, 135)(79, 138)(80, 139)(81, 142)(82, 145)(83, 129)(84, 148)(85, 137)(86, 131)(87, 144)(88, 154)(89, 151)(90, 133)(91, 152)(92, 134)(93, 157)(94, 147)(95, 136)(96, 132)(97, 153)(98, 160)(99, 143)(100, 146)(101, 158)(102, 140)(103, 141)(104, 159)(105, 155)(106, 149)(107, 150)(108, 156)(109, 123)(110, 126)(111, 127)(112, 128)(113, 118)(114, 117)(115, 120)(116, 119)(161, 164)(162, 168)(163, 170)(165, 175)(166, 177)(167, 179)(169, 184)(171, 187)(172, 186)(173, 183)(174, 185)(176, 188)(178, 190)(180, 192)(181, 191)(182, 189)(193, 202)(194, 204)(195, 203)(196, 201)(197, 206)(198, 208)(199, 207)(200, 205)(209, 218)(210, 220)(211, 219)(212, 217)(213, 222)(214, 224)(215, 223)(216, 221)(225, 234)(226, 236)(227, 235)(228, 233)(229, 282)(230, 285)(231, 284)(232, 281)(237, 291)(238, 296)(239, 299)(240, 298)(241, 303)(242, 306)(243, 308)(244, 289)(245, 311)(246, 290)(247, 314)(248, 304)(249, 297)(250, 312)(251, 293)(252, 317)(253, 294)(254, 320)(255, 295)(256, 313)(257, 292)(258, 307)(259, 302)(260, 305)(261, 319)(262, 301)(263, 300)(264, 318)(265, 316)(266, 310)(267, 309)(268, 315)(269, 288)(270, 287)(271, 286)(272, 283)(273, 279)(274, 280)(275, 277)(276, 278)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2843
Transitivity :: VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2846 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 449>$ (small group id <320, 449>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 166, 6, 165, 5, 161)(3, 169, 9, 177, 17, 171, 11, 163)(4, 172, 12, 178, 18, 174, 14, 164)(7, 179, 19, 175, 15, 181, 21, 167)(8, 182, 22, 176, 16, 184, 24, 168)(10, 180, 20, 173, 13, 183, 23, 170)(25, 193, 33, 187, 27, 194, 34, 185)(26, 195, 35, 188, 28, 196, 36, 186)(29, 197, 37, 191, 31, 198, 38, 189)(30, 199, 39, 192, 32, 200, 40, 190)(41, 209, 49, 203, 43, 210, 50, 201)(42, 211, 51, 204, 44, 212, 52, 202)(45, 213, 53, 207, 47, 214, 54, 205)(46, 215, 55, 208, 48, 216, 56, 206)(57, 225, 65, 219, 59, 226, 66, 217)(58, 227, 67, 220, 60, 228, 68, 218)(61, 229, 69, 223, 63, 230, 70, 221)(62, 231, 71, 224, 64, 232, 72, 222)(73, 265, 105, 235, 75, 267, 107, 233)(74, 268, 108, 236, 76, 266, 106, 234)(77, 297, 137, 242, 82, 301, 141, 237)(78, 302, 142, 241, 81, 306, 146, 238)(79, 300, 140, 253, 93, 308, 148, 239)(80, 309, 149, 254, 94, 311, 151, 240)(83, 305, 145, 251, 91, 314, 154, 243)(84, 317, 157, 252, 92, 319, 159, 244)(85, 315, 155, 247, 87, 298, 138, 245)(86, 320, 160, 249, 89, 310, 150, 246)(88, 299, 139, 250, 90, 316, 156, 248)(95, 312, 152, 257, 97, 303, 143, 255)(96, 307, 147, 259, 99, 318, 158, 256)(98, 304, 144, 260, 100, 313, 153, 258)(101, 289, 129, 263, 103, 292, 132, 261)(102, 293, 133, 264, 104, 290, 130, 262)(109, 291, 131, 270, 110, 294, 134, 269)(111, 295, 135, 272, 112, 296, 136, 271)(113, 286, 126, 274, 114, 285, 125, 273)(115, 288, 128, 276, 116, 287, 127, 275)(117, 282, 122, 278, 118, 281, 121, 277)(119, 284, 124, 280, 120, 283, 123, 279)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 27)(12, 28)(14, 26)(16, 20)(19, 29)(21, 31)(22, 32)(24, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 129)(70, 132)(71, 133)(72, 130)(77, 138)(78, 143)(79, 146)(80, 147)(81, 152)(82, 155)(83, 137)(84, 150)(85, 134)(86, 139)(87, 131)(88, 135)(89, 156)(90, 136)(91, 141)(92, 160)(93, 142)(94, 158)(95, 125)(96, 144)(97, 126)(98, 128)(99, 153)(100, 127)(101, 140)(102, 151)(103, 148)(104, 149)(105, 145)(106, 159)(107, 154)(108, 157)(109, 121)(110, 122)(111, 124)(112, 123)(113, 118)(114, 117)(115, 119)(116, 120)(161, 164)(162, 168)(163, 170)(165, 176)(166, 178)(167, 180)(169, 186)(171, 188)(172, 185)(173, 177)(174, 187)(175, 183)(179, 190)(181, 192)(182, 189)(184, 191)(193, 202)(194, 204)(195, 201)(196, 203)(197, 206)(198, 208)(199, 205)(200, 207)(209, 218)(210, 220)(211, 217)(212, 219)(213, 222)(214, 224)(215, 221)(216, 223)(225, 234)(226, 236)(227, 233)(228, 235)(229, 290)(230, 293)(231, 289)(232, 292)(237, 299)(238, 304)(239, 307)(240, 302)(241, 313)(242, 316)(243, 310)(244, 301)(245, 295)(246, 315)(247, 296)(248, 291)(249, 298)(250, 294)(251, 320)(252, 297)(253, 318)(254, 306)(255, 288)(256, 312)(257, 287)(258, 286)(259, 303)(260, 285)(261, 311)(262, 308)(263, 309)(264, 300)(265, 319)(266, 314)(267, 317)(268, 305)(269, 284)(270, 283)(271, 282)(272, 281)(273, 279)(274, 280)(275, 277)(276, 278)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2844
Transitivity :: VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2847 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y2 * Y3 * Y1 * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164)(2, 162, 6, 166)(3, 163, 7, 167)(5, 165, 10, 170)(8, 168, 16, 176)(9, 169, 17, 177)(11, 171, 21, 181)(12, 172, 22, 182)(13, 173, 24, 184)(14, 174, 25, 185)(15, 175, 26, 186)(18, 178, 32, 192)(19, 179, 33, 193)(20, 180, 34, 194)(23, 183, 39, 199)(27, 187, 40, 200)(28, 188, 41, 201)(29, 189, 42, 202)(30, 190, 43, 203)(31, 191, 44, 204)(35, 195, 45, 205)(36, 196, 46, 206)(37, 197, 47, 207)(38, 198, 48, 208)(49, 209, 57, 217)(50, 210, 58, 218)(51, 211, 59, 219)(52, 212, 60, 220)(53, 213, 61, 221)(54, 214, 62, 222)(55, 215, 63, 223)(56, 216, 64, 224)(65, 225, 73, 233)(66, 226, 74, 234)(67, 227, 75, 235)(68, 228, 76, 236)(69, 229, 133, 293)(70, 230, 134, 294)(71, 231, 135, 295)(72, 232, 136, 296)(77, 237, 137, 297)(78, 238, 145, 305)(79, 239, 148, 308)(80, 240, 129, 289)(81, 241, 138, 298)(82, 242, 125, 285)(83, 243, 127, 287)(84, 244, 152, 312)(85, 245, 151, 311)(86, 246, 131, 291)(87, 247, 147, 307)(88, 248, 146, 306)(89, 249, 144, 304)(90, 250, 143, 303)(91, 251, 130, 290)(92, 252, 121, 281)(93, 253, 123, 283)(94, 254, 142, 302)(95, 255, 141, 301)(96, 256, 126, 286)(97, 257, 116, 276)(98, 258, 118, 278)(99, 259, 128, 288)(100, 260, 117, 277)(101, 261, 119, 279)(102, 262, 139, 299)(103, 263, 156, 316)(104, 264, 155, 315)(105, 265, 154, 314)(106, 266, 153, 313)(107, 267, 132, 292)(108, 268, 122, 282)(109, 269, 124, 284)(110, 270, 150, 310)(111, 271, 160, 320)(112, 272, 159, 319)(113, 273, 158, 318)(114, 274, 157, 317)(115, 275, 149, 309)(120, 280, 140, 300)(321, 322)(323, 325)(324, 328)(326, 331)(327, 333)(329, 335)(330, 338)(332, 340)(334, 343)(336, 347)(337, 349)(339, 351)(341, 355)(342, 357)(344, 356)(345, 358)(346, 354)(348, 352)(350, 353)(359, 364)(360, 369)(361, 371)(362, 370)(363, 372)(365, 373)(366, 375)(367, 374)(368, 376)(377, 385)(378, 387)(379, 386)(380, 388)(381, 389)(382, 391)(383, 390)(384, 392)(393, 432)(394, 431)(395, 434)(396, 433)(397, 461)(398, 463)(399, 466)(400, 469)(401, 471)(402, 460)(403, 459)(404, 473)(405, 475)(406, 470)(407, 477)(408, 479)(409, 478)(410, 480)(411, 468)(412, 452)(413, 451)(414, 474)(415, 476)(416, 458)(417, 448)(418, 447)(419, 457)(420, 446)(421, 445)(422, 462)(423, 454)(424, 453)(425, 456)(426, 455)(427, 465)(428, 450)(429, 449)(430, 464)(435, 467)(436, 444)(437, 443)(438, 442)(439, 441)(440, 472)(481, 483)(482, 485)(484, 489)(486, 492)(487, 494)(488, 495)(490, 499)(491, 500)(493, 503)(496, 508)(497, 510)(498, 511)(501, 516)(502, 518)(504, 515)(505, 517)(506, 519)(507, 512)(509, 513)(514, 524)(520, 530)(521, 532)(522, 529)(523, 531)(525, 534)(526, 536)(527, 533)(528, 535)(537, 546)(538, 548)(539, 545)(540, 547)(541, 550)(542, 552)(543, 549)(544, 551)(553, 594)(554, 593)(555, 592)(556, 591)(557, 622)(558, 624)(559, 627)(560, 630)(561, 632)(562, 619)(563, 620)(564, 634)(565, 636)(566, 629)(567, 638)(568, 640)(569, 637)(570, 639)(571, 625)(572, 611)(573, 612)(574, 633)(575, 635)(576, 617)(577, 607)(578, 608)(579, 618)(580, 605)(581, 606)(582, 621)(583, 616)(584, 615)(585, 614)(586, 613)(587, 628)(588, 609)(589, 610)(590, 623)(595, 626)(596, 603)(597, 604)(598, 601)(599, 602)(600, 631)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2853
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.2848 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 449>$ (small group id <320, 449>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164)(2, 162, 6, 166)(3, 163, 8, 168)(5, 165, 12, 172)(7, 167, 16, 176)(9, 169, 18, 178)(10, 170, 19, 179)(11, 171, 21, 181)(13, 173, 23, 183)(14, 174, 24, 184)(15, 175, 25, 185)(17, 177, 27, 187)(20, 180, 31, 191)(22, 182, 33, 193)(26, 186, 37, 197)(28, 188, 39, 199)(29, 189, 40, 200)(30, 190, 41, 201)(32, 192, 42, 202)(34, 194, 44, 204)(35, 195, 45, 205)(36, 196, 46, 206)(38, 198, 47, 207)(43, 203, 52, 212)(48, 208, 57, 217)(49, 209, 58, 218)(50, 210, 59, 219)(51, 211, 60, 220)(53, 213, 61, 221)(54, 214, 62, 222)(55, 215, 63, 223)(56, 216, 64, 224)(65, 225, 73, 233)(66, 226, 74, 234)(67, 227, 75, 235)(68, 228, 76, 236)(69, 229, 113, 273)(70, 230, 115, 275)(71, 231, 117, 277)(72, 232, 119, 279)(77, 237, 121, 281)(78, 238, 123, 283)(79, 239, 125, 285)(80, 240, 127, 287)(81, 241, 129, 289)(82, 242, 131, 291)(83, 243, 134, 294)(84, 244, 136, 296)(85, 245, 138, 298)(86, 246, 141, 301)(87, 247, 140, 300)(88, 248, 144, 304)(89, 249, 133, 293)(90, 250, 147, 307)(91, 251, 149, 309)(92, 252, 151, 311)(93, 253, 153, 313)(94, 254, 155, 315)(95, 255, 157, 317)(96, 256, 152, 312)(97, 257, 156, 316)(98, 258, 154, 314)(99, 259, 159, 319)(100, 260, 160, 320)(101, 261, 139, 299)(102, 262, 145, 305)(103, 263, 142, 302)(104, 264, 158, 318)(105, 265, 132, 292)(106, 266, 148, 308)(107, 267, 135, 295)(108, 268, 150, 310)(109, 269, 124, 284)(110, 270, 137, 297)(111, 271, 126, 286)(112, 272, 143, 303)(114, 274, 122, 282)(116, 276, 130, 290)(118, 278, 128, 288)(120, 280, 146, 306)(321, 322)(323, 327)(324, 329)(325, 331)(326, 333)(328, 337)(330, 336)(332, 342)(334, 341)(335, 340)(338, 348)(339, 350)(343, 354)(344, 356)(345, 352)(346, 351)(347, 355)(349, 353)(357, 363)(358, 362)(359, 368)(360, 370)(361, 369)(364, 373)(365, 375)(366, 374)(367, 376)(371, 372)(377, 385)(378, 387)(379, 386)(380, 388)(381, 389)(382, 391)(383, 390)(384, 392)(393, 409)(394, 401)(395, 400)(396, 397)(398, 439)(399, 437)(402, 441)(403, 449)(404, 435)(405, 443)(406, 456)(407, 433)(408, 445)(410, 447)(411, 453)(412, 451)(413, 467)(414, 454)(415, 460)(416, 458)(417, 464)(418, 461)(419, 477)(420, 469)(421, 471)(422, 475)(423, 473)(424, 480)(425, 472)(426, 474)(427, 476)(428, 479)(429, 459)(430, 462)(431, 465)(432, 478)(434, 452)(436, 455)(438, 468)(440, 470)(442, 463)(444, 466)(446, 448)(450, 457)(481, 483)(482, 485)(484, 490)(486, 494)(487, 495)(488, 493)(489, 492)(491, 500)(496, 506)(497, 505)(498, 509)(499, 508)(501, 512)(502, 511)(503, 515)(504, 514)(507, 518)(510, 517)(513, 523)(516, 522)(519, 529)(520, 528)(521, 531)(524, 534)(525, 533)(526, 536)(527, 535)(530, 532)(537, 546)(538, 545)(539, 548)(540, 547)(541, 550)(542, 549)(543, 552)(544, 551)(553, 560)(554, 569)(555, 557)(556, 561)(558, 597)(559, 593)(562, 609)(563, 613)(564, 599)(565, 616)(566, 620)(567, 595)(568, 603)(570, 601)(571, 607)(572, 627)(573, 629)(574, 611)(575, 605)(576, 624)(577, 637)(578, 618)(579, 621)(580, 614)(581, 635)(582, 640)(583, 631)(584, 633)(585, 634)(586, 639)(587, 632)(588, 636)(589, 622)(590, 638)(591, 619)(592, 625)(594, 615)(596, 630)(598, 612)(600, 628)(602, 617)(604, 610)(606, 626)(608, 623)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2854
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.2849 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164, 13, 173, 5, 165)(2, 162, 7, 167, 20, 180, 8, 168)(3, 163, 9, 169, 23, 183, 10, 170)(6, 166, 16, 176, 28, 188, 17, 177)(11, 171, 24, 184, 14, 174, 25, 185)(12, 172, 26, 186, 15, 175, 27, 187)(18, 178, 29, 189, 21, 181, 30, 190)(19, 179, 31, 191, 22, 182, 32, 192)(33, 193, 41, 201, 35, 195, 42, 202)(34, 194, 43, 203, 36, 196, 44, 204)(37, 197, 45, 205, 39, 199, 46, 206)(38, 198, 47, 207, 40, 200, 48, 208)(49, 209, 57, 217, 51, 211, 58, 218)(50, 210, 59, 219, 52, 212, 60, 220)(53, 213, 61, 221, 55, 215, 62, 222)(54, 214, 63, 223, 56, 216, 64, 224)(65, 225, 73, 233, 67, 227, 74, 234)(66, 226, 75, 235, 68, 228, 76, 236)(69, 229, 80, 240, 71, 231, 92, 252)(70, 230, 77, 237, 72, 232, 85, 245)(78, 238, 117, 277, 79, 239, 114, 274)(81, 241, 121, 281, 82, 242, 131, 291)(83, 243, 130, 290, 84, 244, 122, 282)(86, 246, 113, 273, 87, 247, 116, 276)(88, 248, 124, 284, 89, 249, 127, 287)(90, 250, 128, 288, 91, 251, 125, 285)(93, 253, 133, 293, 94, 254, 136, 296)(95, 255, 137, 297, 96, 256, 134, 294)(97, 257, 144, 304, 98, 258, 147, 307)(99, 259, 148, 308, 100, 260, 145, 305)(101, 261, 153, 313, 102, 262, 156, 316)(103, 263, 157, 317, 104, 264, 154, 314)(105, 265, 159, 319, 106, 266, 160, 320)(107, 267, 155, 315, 108, 268, 158, 318)(109, 269, 150, 310, 110, 270, 151, 311)(111, 271, 146, 306, 112, 272, 149, 309)(115, 275, 140, 300, 118, 278, 139, 299)(119, 279, 138, 298, 120, 280, 135, 295)(123, 283, 129, 289, 141, 301, 126, 286)(132, 292, 143, 303, 152, 312, 142, 302)(321, 322)(323, 326)(324, 331)(325, 334)(327, 338)(328, 341)(329, 342)(330, 339)(332, 337)(333, 340)(335, 336)(343, 348)(344, 353)(345, 355)(346, 356)(347, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 433)(394, 436)(395, 437)(396, 434)(397, 441)(398, 444)(399, 447)(400, 450)(401, 453)(402, 456)(403, 454)(404, 457)(405, 451)(406, 445)(407, 448)(408, 464)(409, 467)(410, 465)(411, 468)(412, 442)(413, 473)(414, 476)(415, 474)(416, 477)(417, 479)(418, 480)(419, 478)(420, 475)(421, 470)(422, 471)(423, 469)(424, 466)(425, 460)(426, 459)(427, 455)(428, 458)(429, 463)(430, 462)(431, 446)(432, 449)(435, 472)(438, 452)(439, 461)(440, 443)(481, 483)(482, 486)(484, 492)(485, 495)(487, 499)(488, 502)(489, 501)(490, 498)(491, 497)(493, 503)(494, 496)(500, 508)(504, 514)(505, 516)(506, 515)(507, 513)(509, 518)(510, 520)(511, 519)(512, 517)(521, 530)(522, 532)(523, 531)(524, 529)(525, 534)(526, 536)(527, 535)(528, 533)(537, 546)(538, 548)(539, 547)(540, 545)(541, 550)(542, 552)(543, 551)(544, 549)(553, 594)(554, 597)(555, 596)(556, 593)(557, 602)(558, 605)(559, 608)(560, 611)(561, 614)(562, 617)(563, 613)(564, 616)(565, 610)(566, 604)(567, 607)(568, 625)(569, 628)(570, 624)(571, 627)(572, 601)(573, 634)(574, 637)(575, 633)(576, 636)(577, 638)(578, 635)(579, 639)(580, 640)(581, 629)(582, 626)(583, 630)(584, 631)(585, 615)(586, 618)(587, 620)(588, 619)(589, 606)(590, 609)(591, 623)(592, 622)(595, 621)(598, 603)(599, 632)(600, 612)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2851
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.2850 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 449>$ (small group id <320, 449>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164, 14, 174, 5, 165)(2, 162, 7, 167, 22, 182, 8, 168)(3, 163, 10, 170, 17, 177, 11, 171)(6, 166, 18, 178, 9, 169, 19, 179)(12, 172, 25, 185, 15, 175, 26, 186)(13, 173, 27, 187, 16, 176, 28, 188)(20, 180, 29, 189, 23, 183, 30, 190)(21, 181, 31, 191, 24, 184, 32, 192)(33, 193, 41, 201, 35, 195, 42, 202)(34, 194, 43, 203, 36, 196, 44, 204)(37, 197, 45, 205, 39, 199, 46, 206)(38, 198, 47, 207, 40, 200, 48, 208)(49, 209, 57, 217, 51, 211, 58, 218)(50, 210, 59, 219, 52, 212, 60, 220)(53, 213, 61, 221, 55, 215, 62, 222)(54, 214, 63, 223, 56, 216, 64, 224)(65, 225, 73, 233, 67, 227, 74, 234)(66, 226, 75, 235, 68, 228, 76, 236)(69, 229, 91, 251, 71, 231, 90, 250)(70, 230, 81, 241, 72, 232, 80, 240)(77, 237, 124, 284, 86, 246, 122, 282)(78, 238, 129, 289, 94, 254, 130, 290)(79, 239, 132, 292, 89, 249, 133, 293)(82, 242, 123, 283, 83, 243, 121, 281)(84, 244, 125, 285, 87, 247, 134, 294)(85, 245, 135, 295, 88, 248, 126, 286)(92, 252, 127, 287, 95, 255, 131, 291)(93, 253, 140, 300, 96, 256, 128, 288)(97, 257, 136, 296, 99, 259, 138, 298)(98, 258, 139, 299, 100, 260, 137, 297)(101, 261, 141, 301, 103, 263, 143, 303)(102, 262, 144, 304, 104, 264, 142, 302)(105, 265, 145, 305, 107, 267, 147, 307)(106, 266, 148, 308, 108, 268, 146, 306)(109, 269, 149, 309, 111, 271, 151, 311)(110, 270, 152, 312, 112, 272, 150, 310)(113, 273, 153, 313, 115, 275, 155, 315)(114, 274, 156, 316, 116, 276, 154, 314)(117, 277, 157, 317, 119, 279, 159, 319)(118, 278, 160, 320, 120, 280, 158, 318)(321, 322)(323, 329)(324, 332)(325, 335)(326, 337)(327, 340)(328, 343)(330, 344)(331, 341)(333, 339)(334, 342)(336, 338)(345, 353)(346, 355)(347, 356)(348, 354)(349, 357)(350, 359)(351, 360)(352, 358)(361, 369)(362, 371)(363, 372)(364, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 441)(394, 443)(395, 444)(396, 442)(397, 445)(398, 447)(399, 448)(400, 450)(401, 449)(402, 446)(403, 455)(404, 456)(405, 457)(406, 454)(407, 458)(408, 459)(409, 460)(410, 452)(411, 453)(412, 461)(413, 462)(414, 451)(415, 463)(416, 464)(417, 465)(418, 466)(419, 467)(420, 468)(421, 469)(422, 470)(423, 471)(424, 472)(425, 473)(426, 474)(427, 475)(428, 476)(429, 477)(430, 478)(431, 479)(432, 480)(433, 437)(434, 440)(435, 439)(436, 438)(481, 483)(482, 486)(484, 493)(485, 496)(487, 501)(488, 504)(489, 502)(490, 500)(491, 503)(492, 498)(494, 497)(495, 499)(505, 514)(506, 516)(507, 513)(508, 515)(509, 518)(510, 520)(511, 517)(512, 519)(521, 530)(522, 532)(523, 529)(524, 531)(525, 534)(526, 536)(527, 533)(528, 535)(537, 546)(538, 548)(539, 545)(540, 547)(541, 550)(542, 552)(543, 549)(544, 551)(553, 602)(554, 604)(555, 601)(556, 603)(557, 606)(558, 608)(559, 611)(560, 612)(561, 613)(562, 614)(563, 605)(564, 617)(565, 618)(566, 615)(567, 619)(568, 616)(569, 607)(570, 609)(571, 610)(572, 622)(573, 623)(574, 620)(575, 624)(576, 621)(577, 626)(578, 627)(579, 628)(580, 625)(581, 630)(582, 631)(583, 632)(584, 629)(585, 634)(586, 635)(587, 636)(588, 633)(589, 638)(590, 639)(591, 640)(592, 637)(593, 600)(594, 599)(595, 598)(596, 597)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2852
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.2851 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y2 * Y3 * Y1 * Y2 * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484)(2, 162, 322, 482, 6, 166, 326, 486)(3, 163, 323, 483, 7, 167, 327, 487)(5, 165, 325, 485, 10, 170, 330, 490)(8, 168, 328, 488, 16, 176, 336, 496)(9, 169, 329, 489, 17, 177, 337, 497)(11, 171, 331, 491, 21, 181, 341, 501)(12, 172, 332, 492, 22, 182, 342, 502)(13, 173, 333, 493, 24, 184, 344, 504)(14, 174, 334, 494, 25, 185, 345, 505)(15, 175, 335, 495, 26, 186, 346, 506)(18, 178, 338, 498, 32, 192, 352, 512)(19, 179, 339, 499, 33, 193, 353, 513)(20, 180, 340, 500, 34, 194, 354, 514)(23, 183, 343, 503, 39, 199, 359, 519)(27, 187, 347, 507, 40, 200, 360, 520)(28, 188, 348, 508, 41, 201, 361, 521)(29, 189, 349, 509, 42, 202, 362, 522)(30, 190, 350, 510, 43, 203, 363, 523)(31, 191, 351, 511, 44, 204, 364, 524)(35, 195, 355, 515, 45, 205, 365, 525)(36, 196, 356, 516, 46, 206, 366, 526)(37, 197, 357, 517, 47, 207, 367, 527)(38, 198, 358, 518, 48, 208, 368, 528)(49, 209, 369, 529, 57, 217, 377, 537)(50, 210, 370, 530, 58, 218, 378, 538)(51, 211, 371, 531, 59, 219, 379, 539)(52, 212, 372, 532, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541)(54, 214, 374, 534, 62, 222, 382, 542)(55, 215, 375, 535, 63, 223, 383, 543)(56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553)(66, 226, 386, 546, 74, 234, 394, 554)(67, 227, 387, 547, 75, 235, 395, 555)(68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 90, 250, 410, 570)(70, 230, 390, 550, 84, 244, 404, 564)(71, 231, 391, 551, 91, 251, 411, 571)(72, 232, 392, 552, 85, 245, 405, 565)(77, 237, 397, 557, 131, 291, 451, 611)(78, 238, 398, 558, 122, 282, 442, 602)(79, 239, 399, 559, 125, 285, 445, 605)(80, 240, 400, 560, 139, 299, 459, 619)(81, 241, 401, 561, 141, 301, 461, 621)(82, 242, 402, 562, 144, 304, 464, 624)(83, 243, 403, 563, 147, 307, 467, 627)(86, 246, 406, 566, 153, 313, 473, 633)(87, 247, 407, 567, 134, 294, 454, 614)(88, 248, 408, 568, 148, 308, 468, 628)(89, 249, 409, 569, 152, 312, 472, 632)(92, 252, 412, 572, 130, 290, 450, 610)(93, 253, 413, 573, 146, 306, 466, 626)(94, 254, 414, 574, 145, 305, 465, 625)(95, 255, 415, 575, 129, 289, 449, 609)(96, 256, 416, 576, 140, 300, 460, 620)(97, 257, 417, 577, 143, 303, 463, 623)(98, 258, 418, 578, 156, 316, 476, 636)(99, 259, 419, 579, 133, 293, 453, 613)(100, 260, 420, 580, 138, 298, 458, 618)(101, 261, 421, 581, 137, 297, 457, 617)(102, 262, 422, 582, 121, 281, 441, 601)(103, 263, 423, 583, 124, 284, 444, 604)(104, 264, 424, 584, 155, 315, 475, 635)(105, 265, 425, 585, 154, 314, 474, 634)(106, 266, 426, 586, 132, 292, 452, 612)(107, 267, 427, 587, 142, 302, 462, 622)(108, 268, 428, 588, 149, 309, 469, 629)(109, 269, 429, 589, 160, 320, 480, 640)(110, 270, 430, 590, 159, 319, 479, 639)(111, 271, 431, 591, 135, 295, 455, 615)(112, 272, 432, 592, 136, 296, 456, 616)(113, 273, 433, 593, 157, 317, 477, 637)(114, 274, 434, 594, 158, 318, 478, 638)(115, 275, 435, 595, 150, 310, 470, 630)(116, 276, 436, 596, 151, 311, 471, 631)(117, 277, 437, 597, 123, 283, 443, 603)(118, 278, 438, 598, 127, 287, 447, 607)(119, 279, 439, 599, 126, 286, 446, 606)(120, 280, 440, 600, 128, 288, 448, 608)
	L = (1, 162)(2, 161)(3, 165)(4, 168)(5, 163)(6, 171)(7, 173)(8, 164)(9, 175)(10, 178)(11, 166)(12, 180)(13, 167)(14, 183)(15, 169)(16, 187)(17, 189)(18, 170)(19, 191)(20, 172)(21, 195)(22, 197)(23, 174)(24, 196)(25, 198)(26, 194)(27, 176)(28, 192)(29, 177)(30, 193)(31, 179)(32, 188)(33, 190)(34, 186)(35, 181)(36, 184)(37, 182)(38, 185)(39, 204)(40, 209)(41, 211)(42, 210)(43, 212)(44, 199)(45, 213)(46, 215)(47, 214)(48, 216)(49, 200)(50, 202)(51, 201)(52, 203)(53, 205)(54, 207)(55, 206)(56, 208)(57, 225)(58, 227)(59, 226)(60, 228)(61, 229)(62, 231)(63, 230)(64, 232)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 281)(74, 284)(75, 282)(76, 285)(77, 289)(78, 293)(79, 294)(80, 297)(81, 290)(82, 303)(83, 305)(84, 309)(85, 301)(86, 312)(87, 298)(88, 302)(89, 314)(90, 316)(91, 291)(92, 300)(93, 296)(94, 319)(95, 306)(96, 295)(97, 320)(98, 307)(99, 308)(100, 292)(101, 315)(102, 313)(103, 299)(104, 311)(105, 318)(106, 310)(107, 317)(108, 304)(109, 288)(110, 287)(111, 286)(112, 283)(113, 280)(114, 279)(115, 278)(116, 277)(117, 276)(118, 275)(119, 274)(120, 273)(121, 233)(122, 235)(123, 272)(124, 234)(125, 236)(126, 271)(127, 270)(128, 269)(129, 237)(130, 241)(131, 251)(132, 260)(133, 238)(134, 239)(135, 256)(136, 253)(137, 240)(138, 247)(139, 263)(140, 252)(141, 245)(142, 248)(143, 242)(144, 268)(145, 243)(146, 255)(147, 258)(148, 259)(149, 244)(150, 266)(151, 264)(152, 246)(153, 262)(154, 249)(155, 261)(156, 250)(157, 267)(158, 265)(159, 254)(160, 257)(321, 483)(322, 485)(323, 481)(324, 489)(325, 482)(326, 492)(327, 494)(328, 495)(329, 484)(330, 499)(331, 500)(332, 486)(333, 503)(334, 487)(335, 488)(336, 508)(337, 510)(338, 511)(339, 490)(340, 491)(341, 516)(342, 518)(343, 493)(344, 515)(345, 517)(346, 519)(347, 512)(348, 496)(349, 513)(350, 497)(351, 498)(352, 507)(353, 509)(354, 524)(355, 504)(356, 501)(357, 505)(358, 502)(359, 506)(360, 530)(361, 532)(362, 529)(363, 531)(364, 514)(365, 534)(366, 536)(367, 533)(368, 535)(369, 522)(370, 520)(371, 523)(372, 521)(373, 527)(374, 525)(375, 528)(376, 526)(377, 546)(378, 548)(379, 545)(380, 547)(381, 550)(382, 552)(383, 549)(384, 551)(385, 539)(386, 537)(387, 540)(388, 538)(389, 543)(390, 541)(391, 544)(392, 542)(393, 602)(394, 605)(395, 601)(396, 604)(397, 610)(398, 614)(399, 613)(400, 618)(401, 609)(402, 620)(403, 626)(404, 621)(405, 629)(406, 628)(407, 617)(408, 612)(409, 635)(410, 611)(411, 636)(412, 623)(413, 615)(414, 640)(415, 625)(416, 616)(417, 639)(418, 624)(419, 632)(420, 622)(421, 634)(422, 619)(423, 633)(424, 630)(425, 637)(426, 631)(427, 638)(428, 627)(429, 606)(430, 603)(431, 608)(432, 607)(433, 598)(434, 597)(435, 600)(436, 599)(437, 594)(438, 593)(439, 596)(440, 595)(441, 555)(442, 553)(443, 590)(444, 556)(445, 554)(446, 589)(447, 592)(448, 591)(449, 561)(450, 557)(451, 570)(452, 568)(453, 559)(454, 558)(455, 573)(456, 576)(457, 567)(458, 560)(459, 582)(460, 562)(461, 564)(462, 580)(463, 572)(464, 578)(465, 575)(466, 563)(467, 588)(468, 566)(469, 565)(470, 584)(471, 586)(472, 579)(473, 583)(474, 581)(475, 569)(476, 571)(477, 585)(478, 587)(479, 577)(480, 574)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2849
Transitivity :: VT+
Graph:: bipartite
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.2852 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 449>$ (small group id <320, 449>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484)(2, 162, 322, 482, 6, 166, 326, 486)(3, 163, 323, 483, 8, 168, 328, 488)(5, 165, 325, 485, 12, 172, 332, 492)(7, 167, 327, 487, 16, 176, 336, 496)(9, 169, 329, 489, 18, 178, 338, 498)(10, 170, 330, 490, 19, 179, 339, 499)(11, 171, 331, 491, 21, 181, 341, 501)(13, 173, 333, 493, 23, 183, 343, 503)(14, 174, 334, 494, 24, 184, 344, 504)(15, 175, 335, 495, 25, 185, 345, 505)(17, 177, 337, 497, 27, 187, 347, 507)(20, 180, 340, 500, 31, 191, 351, 511)(22, 182, 342, 502, 33, 193, 353, 513)(26, 186, 346, 506, 37, 197, 357, 517)(28, 188, 348, 508, 39, 199, 359, 519)(29, 189, 349, 509, 40, 200, 360, 520)(30, 190, 350, 510, 41, 201, 361, 521)(32, 192, 352, 512, 42, 202, 362, 522)(34, 194, 354, 514, 44, 204, 364, 524)(35, 195, 355, 515, 45, 205, 365, 525)(36, 196, 356, 516, 46, 206, 366, 526)(38, 198, 358, 518, 47, 207, 367, 527)(43, 203, 363, 523, 52, 212, 372, 532)(48, 208, 368, 528, 57, 217, 377, 537)(49, 209, 369, 529, 58, 218, 378, 538)(50, 210, 370, 530, 59, 219, 379, 539)(51, 211, 371, 531, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541)(54, 214, 374, 534, 62, 222, 382, 542)(55, 215, 375, 535, 63, 223, 383, 543)(56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553)(66, 226, 386, 546, 74, 234, 394, 554)(67, 227, 387, 547, 75, 235, 395, 555)(68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 137, 297, 457, 617)(70, 230, 390, 550, 139, 299, 459, 619)(71, 231, 391, 551, 141, 301, 461, 621)(72, 232, 392, 552, 143, 303, 463, 623)(77, 237, 397, 557, 132, 292, 452, 612)(78, 238, 398, 558, 127, 287, 447, 607)(79, 239, 399, 559, 126, 286, 446, 606)(80, 240, 400, 560, 136, 296, 456, 616)(81, 241, 401, 561, 131, 291, 451, 611)(82, 242, 402, 562, 144, 304, 464, 624)(83, 243, 403, 563, 130, 290, 450, 610)(84, 244, 404, 564, 142, 302, 462, 622)(85, 245, 405, 565, 114, 274, 434, 594)(86, 246, 406, 566, 112, 272, 432, 592)(87, 247, 407, 567, 125, 285, 445, 605)(88, 248, 408, 568, 135, 295, 455, 615)(89, 249, 409, 569, 119, 279, 439, 599)(90, 250, 410, 570, 106, 266, 426, 586)(91, 251, 411, 571, 124, 284, 444, 604)(92, 252, 412, 572, 134, 294, 454, 614)(93, 253, 413, 573, 105, 265, 425, 585)(94, 254, 414, 574, 151, 311, 471, 631)(95, 255, 415, 575, 150, 310, 470, 630)(96, 256, 416, 576, 129, 289, 449, 609)(97, 257, 417, 577, 140, 300, 460, 620)(98, 258, 418, 578, 111, 271, 431, 591)(99, 259, 419, 579, 157, 317, 477, 637)(100, 260, 420, 580, 149, 309, 469, 629)(101, 261, 421, 581, 138, 298, 458, 618)(102, 262, 422, 582, 110, 270, 430, 590)(103, 263, 423, 583, 148, 308, 468, 628)(104, 264, 424, 584, 108, 268, 428, 588)(107, 267, 427, 587, 133, 293, 453, 613)(109, 269, 429, 589, 146, 306, 466, 626)(113, 273, 433, 593, 145, 305, 465, 625)(115, 275, 435, 595, 160, 320, 480, 640)(116, 276, 436, 596, 155, 315, 475, 635)(117, 277, 437, 597, 153, 313, 473, 633)(118, 278, 438, 598, 147, 307, 467, 627)(120, 280, 440, 600, 159, 319, 479, 639)(121, 281, 441, 601, 154, 314, 474, 634)(122, 282, 442, 602, 158, 318, 478, 638)(123, 283, 443, 603, 156, 316, 476, 636)(128, 288, 448, 608, 152, 312, 472, 632)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 177)(9, 164)(10, 176)(11, 165)(12, 182)(13, 166)(14, 181)(15, 180)(16, 170)(17, 168)(18, 188)(19, 190)(20, 175)(21, 174)(22, 172)(23, 194)(24, 196)(25, 192)(26, 191)(27, 195)(28, 178)(29, 193)(30, 179)(31, 186)(32, 185)(33, 189)(34, 183)(35, 187)(36, 184)(37, 203)(38, 202)(39, 208)(40, 210)(41, 209)(42, 198)(43, 197)(44, 213)(45, 215)(46, 214)(47, 216)(48, 199)(49, 201)(50, 200)(51, 212)(52, 211)(53, 204)(54, 206)(55, 205)(56, 207)(57, 225)(58, 227)(59, 226)(60, 228)(61, 229)(62, 231)(63, 230)(64, 232)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 281)(74, 280)(75, 283)(76, 282)(77, 298)(78, 293)(79, 295)(80, 305)(81, 302)(82, 307)(83, 300)(84, 309)(85, 289)(86, 291)(87, 294)(88, 310)(89, 284)(90, 286)(91, 296)(92, 306)(93, 285)(94, 312)(95, 315)(96, 304)(97, 308)(98, 290)(99, 316)(100, 314)(101, 317)(102, 292)(103, 318)(104, 270)(105, 272)(106, 271)(107, 311)(108, 287)(109, 313)(110, 264)(111, 266)(112, 265)(113, 320)(114, 279)(115, 299)(116, 297)(117, 303)(118, 319)(119, 274)(120, 234)(121, 233)(122, 236)(123, 235)(124, 249)(125, 253)(126, 250)(127, 268)(128, 301)(129, 245)(130, 258)(131, 246)(132, 262)(133, 238)(134, 247)(135, 239)(136, 251)(137, 276)(138, 237)(139, 275)(140, 243)(141, 288)(142, 241)(143, 277)(144, 256)(145, 240)(146, 252)(147, 242)(148, 257)(149, 244)(150, 248)(151, 267)(152, 254)(153, 269)(154, 260)(155, 255)(156, 259)(157, 261)(158, 263)(159, 278)(160, 273)(321, 483)(322, 485)(323, 481)(324, 490)(325, 482)(326, 494)(327, 495)(328, 493)(329, 492)(330, 484)(331, 500)(332, 489)(333, 488)(334, 486)(335, 487)(336, 506)(337, 505)(338, 509)(339, 508)(340, 491)(341, 512)(342, 511)(343, 515)(344, 514)(345, 497)(346, 496)(347, 518)(348, 499)(349, 498)(350, 517)(351, 502)(352, 501)(353, 523)(354, 504)(355, 503)(356, 522)(357, 510)(358, 507)(359, 529)(360, 528)(361, 531)(362, 516)(363, 513)(364, 534)(365, 533)(366, 536)(367, 535)(368, 520)(369, 519)(370, 532)(371, 521)(372, 530)(373, 525)(374, 524)(375, 527)(376, 526)(377, 546)(378, 545)(379, 548)(380, 547)(381, 550)(382, 549)(383, 552)(384, 551)(385, 538)(386, 537)(387, 540)(388, 539)(389, 542)(390, 541)(391, 544)(392, 543)(393, 603)(394, 601)(395, 602)(396, 600)(397, 620)(398, 614)(399, 613)(400, 626)(401, 618)(402, 628)(403, 624)(404, 627)(405, 610)(406, 609)(407, 616)(408, 625)(409, 605)(410, 604)(411, 615)(412, 631)(413, 607)(414, 633)(415, 632)(416, 622)(417, 637)(418, 612)(419, 638)(420, 636)(421, 629)(422, 611)(423, 639)(424, 591)(425, 590)(426, 594)(427, 630)(428, 606)(429, 640)(430, 585)(431, 584)(432, 599)(433, 635)(434, 586)(435, 623)(436, 619)(437, 621)(438, 634)(439, 592)(440, 556)(441, 554)(442, 555)(443, 553)(444, 570)(445, 569)(446, 588)(447, 573)(448, 617)(449, 566)(450, 565)(451, 582)(452, 578)(453, 559)(454, 558)(455, 571)(456, 567)(457, 608)(458, 561)(459, 596)(460, 557)(461, 597)(462, 576)(463, 595)(464, 563)(465, 568)(466, 560)(467, 564)(468, 562)(469, 581)(470, 587)(471, 572)(472, 575)(473, 574)(474, 598)(475, 593)(476, 580)(477, 577)(478, 579)(479, 583)(480, 589)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2850
Transitivity :: VT+
Graph:: bipartite
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.2853 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 374>$ (small group id <320, 374>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y2)^2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484, 13, 173, 333, 493, 5, 165, 325, 485)(2, 162, 322, 482, 7, 167, 327, 487, 20, 180, 340, 500, 8, 168, 328, 488)(3, 163, 323, 483, 9, 169, 329, 489, 23, 183, 343, 503, 10, 170, 330, 490)(6, 166, 326, 486, 16, 176, 336, 496, 28, 188, 348, 508, 17, 177, 337, 497)(11, 171, 331, 491, 24, 184, 344, 504, 14, 174, 334, 494, 25, 185, 345, 505)(12, 172, 332, 492, 26, 186, 346, 506, 15, 175, 335, 495, 27, 187, 347, 507)(18, 178, 338, 498, 29, 189, 349, 509, 21, 181, 341, 501, 30, 190, 350, 510)(19, 179, 339, 499, 31, 191, 351, 511, 22, 182, 342, 502, 32, 192, 352, 512)(33, 193, 353, 513, 41, 201, 361, 521, 35, 195, 355, 515, 42, 202, 362, 522)(34, 194, 354, 514, 43, 203, 363, 523, 36, 196, 356, 516, 44, 204, 364, 524)(37, 197, 357, 517, 45, 205, 365, 525, 39, 199, 359, 519, 46, 206, 366, 526)(38, 198, 358, 518, 47, 207, 367, 527, 40, 200, 360, 520, 48, 208, 368, 528)(49, 209, 369, 529, 57, 217, 377, 537, 51, 211, 371, 531, 58, 218, 378, 538)(50, 210, 370, 530, 59, 219, 379, 539, 52, 212, 372, 532, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541, 55, 215, 375, 535, 62, 222, 382, 542)(54, 214, 374, 534, 63, 223, 383, 543, 56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553, 67, 227, 387, 547, 74, 234, 394, 554)(66, 226, 386, 546, 75, 235, 395, 555, 68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 92, 252, 412, 572, 71, 231, 391, 551, 80, 240, 400, 560)(70, 230, 390, 550, 85, 245, 405, 565, 72, 232, 392, 552, 77, 237, 397, 557)(78, 238, 398, 558, 114, 274, 434, 594, 79, 239, 399, 559, 117, 277, 437, 597)(81, 241, 401, 561, 121, 281, 441, 601, 82, 242, 402, 562, 131, 291, 451, 611)(83, 243, 403, 563, 130, 290, 450, 610, 84, 244, 404, 564, 122, 282, 442, 602)(86, 246, 406, 566, 116, 276, 436, 596, 87, 247, 407, 567, 113, 273, 433, 593)(88, 248, 408, 568, 124, 284, 444, 604, 89, 249, 409, 569, 127, 287, 447, 607)(90, 250, 410, 570, 128, 288, 448, 608, 91, 251, 411, 571, 125, 285, 445, 605)(93, 253, 413, 573, 133, 293, 453, 613, 94, 254, 414, 574, 136, 296, 456, 616)(95, 255, 415, 575, 137, 297, 457, 617, 96, 256, 416, 576, 134, 294, 454, 614)(97, 257, 417, 577, 144, 304, 464, 624, 98, 258, 418, 578, 147, 307, 467, 627)(99, 259, 419, 579, 148, 308, 468, 628, 100, 260, 420, 580, 145, 305, 465, 625)(101, 261, 421, 581, 153, 313, 473, 633, 102, 262, 422, 582, 156, 316, 476, 636)(103, 263, 423, 583, 157, 317, 477, 637, 104, 264, 424, 584, 154, 314, 474, 634)(105, 265, 425, 585, 160, 320, 480, 640, 106, 266, 426, 586, 159, 319, 479, 639)(107, 267, 427, 587, 158, 318, 478, 638, 108, 268, 428, 588, 155, 315, 475, 635)(109, 269, 429, 589, 151, 311, 471, 631, 110, 270, 430, 590, 150, 310, 470, 630)(111, 271, 431, 591, 149, 309, 469, 629, 112, 272, 432, 592, 146, 306, 466, 626)(115, 275, 435, 595, 139, 299, 459, 619, 118, 278, 438, 598, 140, 300, 460, 620)(119, 279, 439, 599, 135, 295, 455, 615, 120, 280, 440, 600, 138, 298, 458, 618)(123, 283, 443, 603, 129, 289, 449, 609, 141, 301, 461, 621, 126, 286, 446, 606)(132, 292, 452, 612, 143, 303, 463, 623, 152, 312, 472, 632, 142, 302, 462, 622)
	L = (1, 162)(2, 161)(3, 166)(4, 171)(5, 174)(6, 163)(7, 178)(8, 181)(9, 182)(10, 179)(11, 164)(12, 177)(13, 180)(14, 165)(15, 176)(16, 175)(17, 172)(18, 167)(19, 170)(20, 173)(21, 168)(22, 169)(23, 188)(24, 193)(25, 195)(26, 196)(27, 194)(28, 183)(29, 197)(30, 199)(31, 200)(32, 198)(33, 184)(34, 187)(35, 185)(36, 186)(37, 189)(38, 192)(39, 190)(40, 191)(41, 209)(42, 211)(43, 212)(44, 210)(45, 213)(46, 215)(47, 216)(48, 214)(49, 201)(50, 204)(51, 202)(52, 203)(53, 205)(54, 208)(55, 206)(56, 207)(57, 225)(58, 227)(59, 228)(60, 226)(61, 229)(62, 231)(63, 232)(64, 230)(65, 217)(66, 220)(67, 218)(68, 219)(69, 221)(70, 224)(71, 222)(72, 223)(73, 273)(74, 276)(75, 277)(76, 274)(77, 281)(78, 284)(79, 287)(80, 290)(81, 293)(82, 296)(83, 294)(84, 297)(85, 291)(86, 285)(87, 288)(88, 304)(89, 307)(90, 305)(91, 308)(92, 282)(93, 313)(94, 316)(95, 314)(96, 317)(97, 320)(98, 319)(99, 315)(100, 318)(101, 311)(102, 310)(103, 306)(104, 309)(105, 299)(106, 300)(107, 298)(108, 295)(109, 302)(110, 303)(111, 289)(112, 286)(113, 233)(114, 236)(115, 292)(116, 234)(117, 235)(118, 312)(119, 283)(120, 301)(121, 237)(122, 252)(123, 279)(124, 238)(125, 246)(126, 272)(127, 239)(128, 247)(129, 271)(130, 240)(131, 245)(132, 275)(133, 241)(134, 243)(135, 268)(136, 242)(137, 244)(138, 267)(139, 265)(140, 266)(141, 280)(142, 269)(143, 270)(144, 248)(145, 250)(146, 263)(147, 249)(148, 251)(149, 264)(150, 262)(151, 261)(152, 278)(153, 253)(154, 255)(155, 259)(156, 254)(157, 256)(158, 260)(159, 258)(160, 257)(321, 483)(322, 486)(323, 481)(324, 492)(325, 495)(326, 482)(327, 499)(328, 502)(329, 501)(330, 498)(331, 497)(332, 484)(333, 503)(334, 496)(335, 485)(336, 494)(337, 491)(338, 490)(339, 487)(340, 508)(341, 489)(342, 488)(343, 493)(344, 514)(345, 516)(346, 515)(347, 513)(348, 500)(349, 518)(350, 520)(351, 519)(352, 517)(353, 507)(354, 504)(355, 506)(356, 505)(357, 512)(358, 509)(359, 511)(360, 510)(361, 530)(362, 532)(363, 531)(364, 529)(365, 534)(366, 536)(367, 535)(368, 533)(369, 524)(370, 521)(371, 523)(372, 522)(373, 528)(374, 525)(375, 527)(376, 526)(377, 546)(378, 548)(379, 547)(380, 545)(381, 550)(382, 552)(383, 551)(384, 549)(385, 540)(386, 537)(387, 539)(388, 538)(389, 544)(390, 541)(391, 543)(392, 542)(393, 594)(394, 597)(395, 596)(396, 593)(397, 602)(398, 605)(399, 608)(400, 611)(401, 614)(402, 617)(403, 613)(404, 616)(405, 610)(406, 604)(407, 607)(408, 625)(409, 628)(410, 624)(411, 627)(412, 601)(413, 634)(414, 637)(415, 633)(416, 636)(417, 635)(418, 638)(419, 640)(420, 639)(421, 626)(422, 629)(423, 631)(424, 630)(425, 618)(426, 615)(427, 619)(428, 620)(429, 609)(430, 606)(431, 622)(432, 623)(433, 556)(434, 553)(435, 603)(436, 555)(437, 554)(438, 621)(439, 612)(440, 632)(441, 572)(442, 557)(443, 595)(444, 566)(445, 558)(446, 590)(447, 567)(448, 559)(449, 589)(450, 565)(451, 560)(452, 599)(453, 563)(454, 561)(455, 586)(456, 564)(457, 562)(458, 585)(459, 587)(460, 588)(461, 598)(462, 591)(463, 592)(464, 570)(465, 568)(466, 581)(467, 571)(468, 569)(469, 582)(470, 584)(471, 583)(472, 600)(473, 575)(474, 573)(475, 577)(476, 576)(477, 574)(478, 578)(479, 580)(480, 579)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2847
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.2854 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 449>$ (small group id <320, 449>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484, 14, 174, 334, 494, 5, 165, 325, 485)(2, 162, 322, 482, 7, 167, 327, 487, 22, 182, 342, 502, 8, 168, 328, 488)(3, 163, 323, 483, 10, 170, 330, 490, 17, 177, 337, 497, 11, 171, 331, 491)(6, 166, 326, 486, 18, 178, 338, 498, 9, 169, 329, 489, 19, 179, 339, 499)(12, 172, 332, 492, 25, 185, 345, 505, 15, 175, 335, 495, 26, 186, 346, 506)(13, 173, 333, 493, 27, 187, 347, 507, 16, 176, 336, 496, 28, 188, 348, 508)(20, 180, 340, 500, 29, 189, 349, 509, 23, 183, 343, 503, 30, 190, 350, 510)(21, 181, 341, 501, 31, 191, 351, 511, 24, 184, 344, 504, 32, 192, 352, 512)(33, 193, 353, 513, 41, 201, 361, 521, 35, 195, 355, 515, 42, 202, 362, 522)(34, 194, 354, 514, 43, 203, 363, 523, 36, 196, 356, 516, 44, 204, 364, 524)(37, 197, 357, 517, 45, 205, 365, 525, 39, 199, 359, 519, 46, 206, 366, 526)(38, 198, 358, 518, 47, 207, 367, 527, 40, 200, 360, 520, 48, 208, 368, 528)(49, 209, 369, 529, 57, 217, 377, 537, 51, 211, 371, 531, 58, 218, 378, 538)(50, 210, 370, 530, 59, 219, 379, 539, 52, 212, 372, 532, 60, 220, 380, 540)(53, 213, 373, 533, 61, 221, 381, 541, 55, 215, 375, 535, 62, 222, 382, 542)(54, 214, 374, 534, 63, 223, 383, 543, 56, 216, 376, 536, 64, 224, 384, 544)(65, 225, 385, 545, 73, 233, 393, 553, 67, 227, 387, 547, 74, 234, 394, 554)(66, 226, 386, 546, 75, 235, 395, 555, 68, 228, 388, 548, 76, 236, 396, 556)(69, 229, 389, 549, 110, 270, 430, 590, 71, 231, 391, 551, 112, 272, 432, 592)(70, 230, 390, 550, 109, 269, 429, 589, 72, 232, 392, 552, 111, 271, 431, 591)(77, 237, 397, 557, 139, 299, 459, 619, 90, 250, 410, 570, 141, 301, 461, 621)(78, 238, 398, 558, 144, 304, 464, 624, 98, 258, 418, 578, 146, 306, 466, 626)(79, 239, 399, 559, 140, 300, 460, 620, 93, 253, 413, 573, 148, 308, 468, 628)(80, 240, 400, 560, 142, 302, 462, 622, 81, 241, 401, 561, 147, 307, 467, 627)(82, 242, 402, 562, 145, 305, 465, 625, 85, 245, 405, 565, 156, 316, 476, 636)(83, 243, 403, 563, 137, 297, 457, 617, 84, 244, 404, 564, 155, 315, 475, 635)(86, 246, 406, 566, 157, 317, 477, 637, 87, 247, 407, 567, 138, 298, 458, 618)(88, 248, 408, 568, 158, 318, 478, 638, 91, 251, 411, 571, 160, 320, 480, 640)(89, 249, 409, 569, 151, 311, 471, 631, 92, 252, 412, 572, 154, 314, 474, 634)(94, 254, 414, 574, 159, 319, 479, 639, 95, 255, 415, 575, 143, 303, 463, 623)(96, 256, 416, 576, 130, 290, 450, 610, 99, 259, 419, 579, 133, 293, 453, 613)(97, 257, 417, 577, 129, 289, 449, 609, 100, 260, 420, 580, 132, 292, 452, 612)(101, 261, 421, 581, 149, 309, 469, 629, 102, 262, 422, 582, 152, 312, 472, 632)(103, 263, 423, 583, 153, 313, 473, 633, 104, 264, 424, 584, 150, 310, 470, 630)(105, 265, 425, 585, 131, 291, 451, 611, 106, 266, 426, 586, 134, 294, 454, 614)(107, 267, 427, 587, 135, 295, 455, 615, 108, 268, 428, 588, 136, 296, 456, 616)(113, 273, 433, 593, 126, 286, 446, 606, 114, 274, 434, 594, 125, 285, 445, 605)(115, 275, 435, 595, 128, 288, 448, 608, 116, 276, 436, 596, 127, 287, 447, 607)(117, 277, 437, 597, 122, 282, 442, 602, 118, 278, 438, 598, 121, 281, 441, 601)(119, 279, 439, 599, 124, 284, 444, 604, 120, 280, 440, 600, 123, 283, 443, 603)
	L = (1, 162)(2, 161)(3, 169)(4, 172)(5, 175)(6, 177)(7, 180)(8, 183)(9, 163)(10, 184)(11, 181)(12, 164)(13, 179)(14, 182)(15, 165)(16, 178)(17, 166)(18, 176)(19, 173)(20, 167)(21, 171)(22, 174)(23, 168)(24, 170)(25, 193)(26, 195)(27, 196)(28, 194)(29, 197)(30, 199)(31, 200)(32, 198)(33, 185)(34, 188)(35, 186)(36, 187)(37, 189)(38, 192)(39, 190)(40, 191)(41, 209)(42, 211)(43, 212)(44, 210)(45, 213)(46, 215)(47, 216)(48, 214)(49, 201)(50, 204)(51, 202)(52, 203)(53, 205)(54, 208)(55, 206)(56, 207)(57, 225)(58, 227)(59, 228)(60, 226)(61, 229)(62, 231)(63, 232)(64, 230)(65, 217)(66, 220)(67, 218)(68, 219)(69, 221)(70, 224)(71, 222)(72, 223)(73, 289)(74, 292)(75, 293)(76, 290)(77, 297)(78, 302)(79, 303)(80, 309)(81, 312)(82, 298)(83, 291)(84, 294)(85, 317)(86, 296)(87, 295)(88, 301)(89, 305)(90, 315)(91, 299)(92, 316)(93, 319)(94, 310)(95, 313)(96, 306)(97, 300)(98, 307)(99, 304)(100, 308)(101, 286)(102, 285)(103, 287)(104, 288)(105, 282)(106, 281)(107, 283)(108, 284)(109, 320)(110, 311)(111, 318)(112, 314)(113, 277)(114, 278)(115, 280)(116, 279)(117, 273)(118, 274)(119, 276)(120, 275)(121, 266)(122, 265)(123, 267)(124, 268)(125, 262)(126, 261)(127, 263)(128, 264)(129, 233)(130, 236)(131, 243)(132, 234)(133, 235)(134, 244)(135, 247)(136, 246)(137, 237)(138, 242)(139, 251)(140, 257)(141, 248)(142, 238)(143, 239)(144, 259)(145, 249)(146, 256)(147, 258)(148, 260)(149, 240)(150, 254)(151, 270)(152, 241)(153, 255)(154, 272)(155, 250)(156, 252)(157, 245)(158, 271)(159, 253)(160, 269)(321, 483)(322, 486)(323, 481)(324, 493)(325, 496)(326, 482)(327, 501)(328, 504)(329, 502)(330, 500)(331, 503)(332, 498)(333, 484)(334, 497)(335, 499)(336, 485)(337, 494)(338, 492)(339, 495)(340, 490)(341, 487)(342, 489)(343, 491)(344, 488)(345, 514)(346, 516)(347, 513)(348, 515)(349, 518)(350, 520)(351, 517)(352, 519)(353, 507)(354, 505)(355, 508)(356, 506)(357, 511)(358, 509)(359, 512)(360, 510)(361, 530)(362, 532)(363, 529)(364, 531)(365, 534)(366, 536)(367, 533)(368, 535)(369, 523)(370, 521)(371, 524)(372, 522)(373, 527)(374, 525)(375, 528)(376, 526)(377, 546)(378, 548)(379, 545)(380, 547)(381, 550)(382, 552)(383, 549)(384, 551)(385, 539)(386, 537)(387, 540)(388, 538)(389, 543)(390, 541)(391, 544)(392, 542)(393, 610)(394, 613)(395, 609)(396, 612)(397, 618)(398, 623)(399, 627)(400, 630)(401, 633)(402, 635)(403, 616)(404, 615)(405, 617)(406, 614)(407, 611)(408, 625)(409, 619)(410, 637)(411, 636)(412, 621)(413, 622)(414, 632)(415, 629)(416, 620)(417, 624)(418, 639)(419, 628)(420, 626)(421, 607)(422, 608)(423, 605)(424, 606)(425, 603)(426, 604)(427, 601)(428, 602)(429, 631)(430, 638)(431, 634)(432, 640)(433, 600)(434, 599)(435, 598)(436, 597)(437, 596)(438, 595)(439, 594)(440, 593)(441, 587)(442, 588)(443, 585)(444, 586)(445, 583)(446, 584)(447, 581)(448, 582)(449, 555)(450, 553)(451, 567)(452, 556)(453, 554)(454, 566)(455, 564)(456, 563)(457, 565)(458, 557)(459, 569)(460, 576)(461, 572)(462, 573)(463, 558)(464, 577)(465, 568)(466, 580)(467, 559)(468, 579)(469, 575)(470, 560)(471, 589)(472, 574)(473, 561)(474, 591)(475, 562)(476, 571)(477, 570)(478, 590)(479, 578)(480, 592)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2848
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.2855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1418>$ (small group id <320, 1418>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 21, 181)(16, 176, 19, 179)(17, 177, 22, 182)(18, 178, 28, 188)(24, 184, 35, 195)(25, 185, 34, 194)(26, 186, 32, 192)(27, 187, 31, 191)(29, 189, 39, 199)(30, 190, 38, 198)(33, 193, 41, 201)(36, 196, 44, 204)(37, 197, 45, 205)(40, 200, 48, 208)(42, 202, 51, 211)(43, 203, 50, 210)(46, 206, 55, 215)(47, 207, 54, 214)(49, 209, 57, 217)(52, 212, 60, 220)(53, 213, 61, 221)(56, 216, 64, 224)(58, 218, 67, 227)(59, 219, 66, 226)(62, 222, 111, 271)(63, 223, 109, 269)(65, 225, 113, 273)(68, 228, 115, 275)(69, 229, 117, 277)(70, 230, 118, 278)(71, 231, 119, 279)(72, 232, 120, 280)(73, 233, 122, 282)(74, 234, 124, 284)(75, 235, 125, 285)(76, 236, 126, 286)(77, 237, 127, 287)(78, 238, 128, 288)(79, 239, 129, 289)(80, 240, 130, 290)(81, 241, 131, 291)(82, 242, 121, 281)(83, 243, 132, 292)(84, 244, 134, 294)(85, 245, 135, 295)(86, 246, 123, 283)(87, 247, 136, 296)(88, 248, 138, 298)(89, 249, 139, 299)(90, 250, 137, 297)(91, 251, 140, 300)(92, 252, 141, 301)(93, 253, 133, 293)(94, 254, 143, 303)(95, 255, 144, 304)(96, 256, 142, 302)(97, 257, 145, 305)(98, 258, 146, 306)(99, 259, 147, 307)(100, 260, 148, 308)(101, 261, 149, 309)(102, 262, 150, 310)(103, 263, 151, 311)(104, 264, 152, 312)(105, 265, 153, 313)(106, 266, 154, 314)(107, 267, 155, 315)(108, 268, 156, 316)(110, 270, 158, 318)(112, 272, 160, 320)(114, 274, 157, 317)(116, 276, 159, 319)(321, 481, 323, 483)(322, 482, 325, 485)(324, 484, 328, 488)(326, 486, 331, 491)(327, 487, 333, 493)(329, 489, 336, 496)(330, 490, 338, 498)(332, 492, 341, 501)(334, 494, 344, 504)(335, 495, 345, 505)(337, 497, 347, 507)(339, 499, 349, 509)(340, 500, 350, 510)(342, 502, 352, 512)(343, 503, 353, 513)(346, 506, 356, 516)(348, 508, 357, 517)(351, 511, 360, 520)(354, 514, 362, 522)(355, 515, 363, 523)(358, 518, 366, 526)(359, 519, 367, 527)(361, 521, 369, 529)(364, 524, 372, 532)(365, 525, 373, 533)(368, 528, 376, 536)(370, 530, 378, 538)(371, 531, 379, 539)(374, 534, 382, 542)(375, 535, 383, 543)(377, 537, 385, 545)(380, 540, 388, 548)(381, 541, 391, 551)(384, 544, 416, 576)(386, 546, 402, 562)(387, 547, 398, 558)(389, 549, 433, 593)(390, 550, 439, 599)(392, 552, 441, 601)(393, 553, 443, 603)(394, 554, 437, 597)(395, 555, 431, 591)(396, 556, 445, 605)(397, 557, 438, 598)(399, 559, 448, 608)(400, 560, 449, 609)(401, 561, 440, 600)(403, 563, 453, 613)(404, 564, 446, 606)(405, 565, 442, 602)(406, 566, 429, 589)(407, 567, 457, 617)(408, 568, 444, 604)(409, 569, 456, 616)(410, 570, 435, 595)(411, 571, 447, 607)(412, 572, 452, 612)(413, 573, 462, 622)(414, 574, 451, 611)(415, 575, 450, 610)(417, 577, 455, 615)(418, 578, 454, 614)(419, 579, 458, 618)(420, 580, 459, 619)(421, 581, 460, 620)(422, 582, 461, 621)(423, 583, 464, 624)(424, 584, 463, 623)(425, 585, 466, 626)(426, 586, 465, 625)(427, 587, 467, 627)(428, 588, 468, 628)(430, 590, 469, 629)(432, 592, 470, 630)(434, 594, 472, 632)(436, 596, 471, 631)(473, 633, 479, 639)(474, 634, 477, 637)(475, 635, 480, 640)(476, 636, 478, 638)
	L = (1, 324)(2, 326)(3, 328)(4, 321)(5, 331)(6, 322)(7, 334)(8, 323)(9, 337)(10, 339)(11, 325)(12, 342)(13, 344)(14, 327)(15, 346)(16, 347)(17, 329)(18, 349)(19, 330)(20, 351)(21, 352)(22, 332)(23, 354)(24, 333)(25, 356)(26, 335)(27, 336)(28, 358)(29, 338)(30, 360)(31, 340)(32, 341)(33, 362)(34, 343)(35, 364)(36, 345)(37, 366)(38, 348)(39, 368)(40, 350)(41, 370)(42, 353)(43, 372)(44, 355)(45, 374)(46, 357)(47, 376)(48, 359)(49, 378)(50, 361)(51, 380)(52, 363)(53, 382)(54, 365)(55, 384)(56, 367)(57, 386)(58, 369)(59, 388)(60, 371)(61, 429)(62, 373)(63, 416)(64, 375)(65, 402)(66, 377)(67, 435)(68, 379)(69, 399)(70, 396)(71, 406)(72, 407)(73, 403)(74, 401)(75, 413)(76, 390)(77, 405)(78, 410)(79, 389)(80, 409)(81, 394)(82, 385)(83, 393)(84, 412)(85, 397)(86, 391)(87, 392)(88, 415)(89, 400)(90, 398)(91, 418)(92, 404)(93, 395)(94, 420)(95, 408)(96, 383)(97, 422)(98, 411)(99, 424)(100, 414)(101, 426)(102, 417)(103, 428)(104, 419)(105, 432)(106, 421)(107, 436)(108, 423)(109, 381)(110, 479)(111, 462)(112, 425)(113, 448)(114, 478)(115, 387)(116, 427)(117, 440)(118, 442)(119, 445)(120, 437)(121, 457)(122, 438)(123, 453)(124, 450)(125, 439)(126, 452)(127, 454)(128, 433)(129, 456)(130, 444)(131, 459)(132, 446)(133, 443)(134, 447)(135, 461)(136, 449)(137, 441)(138, 463)(139, 451)(140, 465)(141, 455)(142, 431)(143, 458)(144, 468)(145, 460)(146, 470)(147, 471)(148, 464)(149, 473)(150, 466)(151, 467)(152, 476)(153, 469)(154, 480)(155, 477)(156, 472)(157, 475)(158, 434)(159, 430)(160, 474)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2859
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1424>$ (small group id <320, 1424>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 7, 167)(5, 165, 8, 168)(6, 166, 13, 173)(10, 170, 18, 178)(11, 171, 19, 179)(12, 172, 16, 176)(14, 174, 22, 182)(15, 175, 23, 183)(17, 177, 25, 185)(20, 180, 28, 188)(21, 181, 29, 189)(24, 184, 32, 192)(26, 186, 34, 194)(27, 187, 35, 195)(30, 190, 38, 198)(31, 191, 39, 199)(33, 193, 41, 201)(36, 196, 44, 204)(37, 197, 45, 205)(40, 200, 48, 208)(42, 202, 50, 210)(43, 203, 51, 211)(46, 206, 54, 214)(47, 207, 55, 215)(49, 209, 57, 217)(52, 212, 60, 220)(53, 213, 61, 221)(56, 216, 64, 224)(58, 218, 66, 226)(59, 219, 67, 227)(62, 222, 117, 277)(63, 223, 119, 279)(65, 225, 121, 281)(68, 228, 122, 282)(69, 229, 125, 285)(70, 230, 127, 287)(71, 231, 129, 289)(72, 232, 131, 291)(73, 233, 133, 293)(74, 234, 135, 295)(75, 235, 137, 297)(76, 236, 139, 299)(77, 237, 141, 301)(78, 238, 138, 298)(79, 239, 140, 300)(80, 240, 142, 302)(81, 241, 145, 305)(82, 242, 132, 292)(83, 243, 134, 294)(84, 244, 146, 306)(85, 245, 148, 308)(86, 246, 149, 309)(87, 247, 150, 310)(88, 248, 128, 288)(89, 249, 151, 311)(90, 250, 152, 312)(91, 251, 153, 313)(92, 252, 126, 286)(93, 253, 154, 314)(94, 254, 143, 303)(95, 255, 144, 304)(96, 256, 155, 315)(97, 257, 157, 317)(98, 258, 147, 307)(99, 259, 158, 318)(100, 260, 159, 319)(101, 261, 160, 320)(102, 262, 130, 290)(103, 263, 124, 284)(104, 264, 123, 283)(105, 265, 136, 296)(106, 266, 120, 280)(107, 267, 156, 316)(108, 268, 118, 278)(109, 269, 116, 276)(110, 270, 115, 275)(111, 271, 114, 274)(112, 272, 113, 273)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 335, 495)(328, 488, 334, 494)(329, 489, 337, 497)(332, 492, 340, 500)(333, 493, 341, 501)(336, 496, 344, 504)(338, 498, 347, 507)(339, 499, 346, 506)(342, 502, 351, 511)(343, 503, 350, 510)(345, 505, 353, 513)(348, 508, 356, 516)(349, 509, 357, 517)(352, 512, 360, 520)(354, 514, 363, 523)(355, 515, 362, 522)(358, 518, 367, 527)(359, 519, 366, 526)(361, 521, 369, 529)(364, 524, 372, 532)(365, 525, 373, 533)(368, 528, 376, 536)(370, 530, 379, 539)(371, 531, 378, 538)(374, 534, 383, 543)(375, 535, 382, 542)(377, 537, 385, 545)(380, 540, 388, 548)(381, 541, 414, 574)(384, 544, 427, 587)(386, 546, 425, 585)(387, 547, 409, 569)(389, 549, 446, 606)(390, 550, 448, 608)(391, 551, 450, 610)(392, 552, 452, 612)(393, 553, 454, 614)(394, 554, 456, 616)(395, 555, 458, 618)(396, 556, 460, 620)(397, 557, 462, 622)(398, 558, 463, 623)(399, 559, 464, 624)(400, 560, 455, 615)(401, 561, 466, 626)(402, 562, 441, 601)(403, 563, 467, 627)(404, 564, 449, 609)(405, 565, 439, 599)(406, 566, 451, 611)(407, 567, 453, 613)(408, 568, 468, 628)(410, 570, 457, 617)(411, 571, 459, 619)(412, 572, 471, 631)(413, 573, 475, 635)(415, 575, 476, 636)(416, 576, 445, 605)(417, 577, 478, 638)(418, 578, 442, 602)(419, 579, 447, 607)(420, 580, 469, 629)(421, 581, 470, 630)(422, 582, 437, 597)(423, 583, 472, 632)(424, 584, 473, 633)(426, 586, 438, 598)(428, 588, 461, 621)(429, 589, 435, 595)(430, 590, 465, 625)(431, 591, 479, 639)(432, 592, 480, 640)(433, 593, 444, 604)(434, 594, 443, 603)(436, 596, 474, 634)(440, 600, 477, 637)
	L = (1, 324)(2, 327)(3, 330)(4, 332)(5, 321)(6, 334)(7, 336)(8, 322)(9, 338)(10, 340)(11, 323)(12, 325)(13, 342)(14, 344)(15, 326)(16, 328)(17, 346)(18, 348)(19, 329)(20, 331)(21, 350)(22, 352)(23, 333)(24, 335)(25, 354)(26, 356)(27, 337)(28, 339)(29, 358)(30, 360)(31, 341)(32, 343)(33, 362)(34, 364)(35, 345)(36, 347)(37, 366)(38, 368)(39, 349)(40, 351)(41, 370)(42, 372)(43, 353)(44, 355)(45, 374)(46, 376)(47, 357)(48, 359)(49, 378)(50, 380)(51, 361)(52, 363)(53, 382)(54, 384)(55, 365)(56, 367)(57, 386)(58, 388)(59, 369)(60, 371)(61, 437)(62, 427)(63, 373)(64, 375)(65, 409)(66, 442)(67, 377)(68, 379)(69, 393)(70, 396)(71, 399)(72, 389)(73, 400)(74, 403)(75, 390)(76, 404)(77, 407)(78, 391)(79, 408)(80, 392)(81, 411)(82, 394)(83, 412)(84, 395)(85, 415)(86, 397)(87, 416)(88, 398)(89, 418)(90, 401)(91, 419)(92, 402)(93, 421)(94, 405)(95, 422)(96, 406)(97, 424)(98, 425)(99, 410)(100, 413)(101, 428)(102, 414)(103, 417)(104, 430)(105, 385)(106, 432)(107, 383)(108, 420)(109, 434)(110, 423)(111, 426)(112, 436)(113, 429)(114, 440)(115, 444)(116, 431)(117, 476)(118, 479)(119, 381)(120, 433)(121, 471)(122, 387)(123, 435)(124, 477)(125, 453)(126, 452)(127, 459)(128, 458)(129, 460)(130, 463)(131, 445)(132, 455)(133, 462)(134, 446)(135, 454)(136, 441)(137, 447)(138, 449)(139, 466)(140, 448)(141, 470)(142, 451)(143, 468)(144, 450)(145, 473)(146, 457)(147, 456)(148, 464)(149, 461)(150, 475)(151, 467)(152, 465)(153, 478)(154, 480)(155, 469)(156, 439)(157, 443)(158, 472)(159, 474)(160, 438)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2860
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1444>$ (small group id <320, 1444>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y1 * Y2 * R * Y2 * Y1 * R * Y3^-2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y3^10, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * R * Y2 * Y1 * Y2 * R * Y3, Y1 * Y3 * Y2 * Y1 * R * Y3 * Y2 * Y1 * Y2 * R * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 16, 176)(7, 167, 19, 179)(8, 168, 21, 181)(10, 170, 26, 186)(11, 171, 28, 188)(13, 173, 22, 182)(15, 175, 20, 180)(17, 177, 40, 200)(18, 178, 42, 202)(23, 183, 51, 211)(24, 184, 48, 208)(25, 185, 44, 204)(27, 187, 55, 215)(29, 189, 54, 214)(30, 190, 39, 199)(31, 191, 45, 205)(32, 192, 49, 209)(33, 193, 65, 225)(34, 194, 38, 198)(35, 195, 46, 206)(36, 196, 68, 228)(37, 197, 70, 230)(41, 201, 74, 234)(43, 203, 73, 233)(47, 207, 84, 244)(50, 210, 87, 247)(52, 212, 92, 252)(53, 213, 94, 254)(56, 216, 91, 251)(57, 217, 83, 243)(58, 218, 82, 242)(59, 219, 100, 260)(60, 220, 90, 250)(61, 221, 86, 246)(62, 222, 103, 263)(63, 223, 77, 237)(64, 224, 76, 236)(66, 226, 88, 248)(67, 227, 80, 240)(69, 229, 85, 245)(71, 231, 113, 273)(72, 232, 115, 275)(75, 235, 112, 272)(78, 238, 121, 281)(79, 239, 111, 271)(81, 241, 124, 284)(89, 249, 131, 291)(93, 253, 133, 293)(95, 255, 123, 283)(96, 256, 129, 289)(97, 257, 126, 286)(98, 258, 136, 296)(99, 259, 135, 295)(101, 261, 139, 299)(102, 262, 116, 276)(104, 264, 138, 298)(105, 265, 118, 278)(106, 266, 130, 290)(107, 267, 144, 304)(108, 268, 117, 277)(109, 269, 127, 287)(110, 270, 145, 305)(114, 274, 147, 307)(119, 279, 150, 310)(120, 280, 149, 309)(122, 282, 153, 313)(125, 285, 152, 312)(128, 288, 158, 318)(132, 292, 156, 316)(134, 294, 159, 319)(137, 297, 151, 311)(140, 300, 154, 314)(141, 301, 157, 317)(142, 302, 146, 306)(143, 303, 155, 315)(148, 308, 160, 320)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 338, 498)(328, 488, 337, 497)(329, 489, 343, 503)(332, 492, 350, 510)(333, 493, 349, 509)(334, 494, 354, 514)(335, 495, 347, 507)(336, 496, 357, 517)(339, 499, 364, 524)(340, 500, 363, 523)(341, 501, 368, 528)(342, 502, 361, 521)(344, 504, 373, 533)(345, 505, 372, 532)(346, 506, 376, 536)(348, 508, 380, 540)(351, 511, 384, 544)(352, 512, 383, 543)(353, 513, 382, 542)(355, 515, 387, 547)(356, 516, 379, 539)(358, 518, 392, 552)(359, 519, 391, 551)(360, 520, 395, 555)(362, 522, 399, 559)(365, 525, 403, 563)(366, 526, 402, 562)(367, 527, 401, 561)(369, 529, 406, 566)(370, 530, 398, 558)(371, 531, 409, 569)(374, 534, 415, 575)(375, 535, 413, 573)(377, 537, 419, 579)(378, 538, 418, 578)(381, 541, 422, 582)(385, 545, 425, 585)(386, 546, 424, 584)(388, 548, 428, 588)(389, 549, 421, 581)(390, 550, 430, 590)(393, 553, 436, 596)(394, 554, 434, 594)(396, 556, 440, 600)(397, 557, 439, 599)(400, 560, 443, 603)(404, 564, 446, 606)(405, 565, 445, 605)(407, 567, 449, 609)(408, 568, 442, 602)(410, 570, 444, 604)(411, 571, 452, 612)(412, 572, 454, 614)(414, 574, 437, 597)(416, 576, 435, 595)(417, 577, 457, 617)(420, 580, 460, 620)(423, 583, 431, 591)(426, 586, 463, 623)(427, 587, 462, 622)(429, 589, 451, 611)(432, 592, 466, 626)(433, 593, 468, 628)(438, 598, 471, 631)(441, 601, 474, 634)(447, 607, 477, 637)(448, 608, 476, 636)(450, 610, 465, 625)(453, 613, 475, 635)(455, 615, 472, 632)(456, 616, 473, 633)(458, 618, 469, 629)(459, 619, 470, 630)(461, 621, 467, 627)(464, 624, 479, 639)(478, 638, 480, 640)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 337)(7, 340)(8, 322)(9, 344)(10, 347)(11, 323)(12, 351)(13, 353)(14, 355)(15, 325)(16, 358)(17, 361)(18, 326)(19, 365)(20, 367)(21, 369)(22, 328)(23, 372)(24, 374)(25, 329)(26, 377)(27, 379)(28, 381)(29, 331)(30, 383)(31, 334)(32, 332)(33, 386)(34, 384)(35, 388)(36, 335)(37, 391)(38, 393)(39, 336)(40, 396)(41, 398)(42, 400)(43, 338)(44, 402)(45, 341)(46, 339)(47, 405)(48, 403)(49, 407)(50, 342)(51, 410)(52, 413)(53, 343)(54, 416)(55, 345)(56, 418)(57, 348)(58, 346)(59, 421)(60, 419)(61, 423)(62, 349)(63, 425)(64, 350)(65, 352)(66, 427)(67, 354)(68, 429)(69, 356)(70, 431)(71, 434)(72, 357)(73, 437)(74, 359)(75, 439)(76, 362)(77, 360)(78, 442)(79, 440)(80, 444)(81, 363)(82, 446)(83, 364)(84, 366)(85, 448)(86, 368)(87, 450)(88, 370)(89, 452)(90, 443)(91, 371)(92, 455)(93, 457)(94, 436)(95, 373)(96, 458)(97, 375)(98, 460)(99, 376)(100, 378)(101, 462)(102, 380)(103, 430)(104, 382)(105, 463)(106, 385)(107, 389)(108, 387)(109, 464)(110, 466)(111, 422)(112, 390)(113, 469)(114, 471)(115, 415)(116, 392)(117, 472)(118, 394)(119, 474)(120, 395)(121, 397)(122, 476)(123, 399)(124, 409)(125, 401)(126, 477)(127, 404)(128, 408)(129, 406)(130, 478)(131, 428)(132, 475)(133, 411)(134, 473)(135, 414)(136, 412)(137, 470)(138, 468)(139, 417)(140, 467)(141, 420)(142, 424)(143, 479)(144, 426)(145, 449)(146, 461)(147, 432)(148, 459)(149, 435)(150, 433)(151, 456)(152, 454)(153, 438)(154, 453)(155, 441)(156, 445)(157, 480)(158, 447)(159, 451)(160, 465)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2861
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1446>$ (small group id <320, 1446>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y1 * Y3^-1 * Y1, (Y3^2 * Y1)^2, Y3 * Y1 * Y2 * Y3^3 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 9, 169)(4, 164, 12, 172)(5, 165, 14, 174)(6, 166, 16, 176)(7, 167, 19, 179)(8, 168, 21, 181)(10, 170, 26, 186)(11, 171, 28, 188)(13, 173, 22, 182)(15, 175, 20, 180)(17, 177, 36, 196)(18, 178, 38, 198)(23, 183, 43, 203)(24, 184, 42, 202)(25, 185, 40, 200)(27, 187, 47, 207)(29, 189, 46, 206)(30, 190, 35, 195)(31, 191, 41, 201)(32, 192, 34, 194)(33, 193, 52, 212)(37, 197, 56, 216)(39, 199, 55, 215)(44, 204, 64, 224)(45, 205, 66, 226)(48, 208, 63, 223)(49, 209, 60, 220)(50, 210, 62, 222)(51, 211, 58, 218)(53, 213, 72, 232)(54, 214, 74, 234)(57, 217, 71, 231)(59, 219, 70, 230)(61, 221, 77, 237)(65, 225, 81, 241)(67, 227, 80, 240)(68, 228, 83, 243)(69, 229, 85, 245)(73, 233, 89, 249)(75, 235, 88, 248)(76, 236, 91, 251)(78, 238, 96, 256)(79, 239, 98, 258)(82, 242, 95, 255)(84, 244, 94, 254)(86, 246, 104, 264)(87, 247, 106, 266)(90, 250, 103, 263)(92, 252, 102, 262)(93, 253, 109, 269)(97, 257, 113, 273)(99, 259, 112, 272)(100, 260, 115, 275)(101, 261, 117, 277)(105, 265, 121, 281)(107, 267, 120, 280)(108, 268, 123, 283)(110, 270, 128, 288)(111, 271, 130, 290)(114, 274, 127, 287)(116, 276, 126, 286)(118, 278, 136, 296)(119, 279, 138, 298)(122, 282, 135, 295)(124, 284, 134, 294)(125, 285, 141, 301)(129, 289, 145, 305)(131, 291, 144, 304)(132, 292, 147, 307)(133, 293, 149, 309)(137, 297, 153, 313)(139, 299, 152, 312)(140, 300, 155, 315)(142, 302, 150, 310)(143, 303, 156, 316)(146, 306, 154, 314)(148, 308, 151, 311)(157, 317, 160, 320)(158, 318, 159, 319)(321, 481, 323, 483)(322, 482, 326, 486)(324, 484, 331, 491)(325, 485, 330, 490)(327, 487, 338, 498)(328, 488, 337, 497)(329, 489, 343, 503)(332, 492, 350, 510)(333, 493, 349, 509)(334, 494, 352, 512)(335, 495, 347, 507)(336, 496, 353, 513)(339, 499, 360, 520)(340, 500, 359, 519)(341, 501, 362, 522)(342, 502, 357, 517)(344, 504, 365, 525)(345, 505, 364, 524)(346, 506, 368, 528)(348, 508, 370, 530)(351, 511, 371, 531)(354, 514, 374, 534)(355, 515, 373, 533)(356, 516, 377, 537)(358, 518, 379, 539)(361, 521, 380, 540)(363, 523, 381, 541)(366, 526, 387, 547)(367, 527, 385, 545)(369, 529, 388, 548)(372, 532, 389, 549)(375, 535, 395, 555)(376, 536, 393, 553)(378, 538, 396, 556)(382, 542, 399, 559)(383, 543, 398, 558)(384, 544, 402, 562)(386, 546, 404, 564)(390, 550, 407, 567)(391, 551, 406, 566)(392, 552, 410, 570)(394, 554, 412, 572)(397, 557, 413, 573)(400, 560, 419, 579)(401, 561, 417, 577)(403, 563, 420, 580)(405, 565, 421, 581)(408, 568, 427, 587)(409, 569, 425, 585)(411, 571, 428, 588)(414, 574, 431, 591)(415, 575, 430, 590)(416, 576, 434, 594)(418, 578, 436, 596)(422, 582, 439, 599)(423, 583, 438, 598)(424, 584, 442, 602)(426, 586, 444, 604)(429, 589, 445, 605)(432, 592, 451, 611)(433, 593, 449, 609)(435, 595, 452, 612)(437, 597, 453, 613)(440, 600, 459, 619)(441, 601, 457, 617)(443, 603, 460, 620)(446, 606, 463, 623)(447, 607, 462, 622)(448, 608, 466, 626)(450, 610, 468, 628)(454, 614, 471, 631)(455, 615, 470, 630)(456, 616, 474, 634)(458, 618, 476, 636)(461, 621, 472, 632)(464, 624, 469, 629)(465, 625, 477, 637)(467, 627, 478, 638)(473, 633, 479, 639)(475, 635, 480, 640)
	L = (1, 324)(2, 327)(3, 330)(4, 333)(5, 321)(6, 337)(7, 340)(8, 322)(9, 344)(10, 347)(11, 323)(12, 351)(13, 339)(14, 342)(15, 325)(16, 354)(17, 357)(18, 326)(19, 361)(20, 332)(21, 335)(22, 328)(23, 364)(24, 366)(25, 329)(26, 369)(27, 362)(28, 367)(29, 331)(30, 359)(31, 334)(32, 371)(33, 373)(34, 375)(35, 336)(36, 378)(37, 352)(38, 376)(39, 338)(40, 349)(41, 341)(42, 380)(43, 382)(44, 385)(45, 343)(46, 346)(47, 345)(48, 387)(49, 348)(50, 388)(51, 350)(52, 390)(53, 393)(54, 353)(55, 356)(56, 355)(57, 395)(58, 358)(59, 396)(60, 360)(61, 398)(62, 400)(63, 363)(64, 403)(65, 370)(66, 401)(67, 365)(68, 368)(69, 406)(70, 408)(71, 372)(72, 411)(73, 379)(74, 409)(75, 374)(76, 377)(77, 414)(78, 417)(79, 381)(80, 384)(81, 383)(82, 419)(83, 386)(84, 420)(85, 422)(86, 425)(87, 389)(88, 392)(89, 391)(90, 427)(91, 394)(92, 428)(93, 430)(94, 432)(95, 397)(96, 435)(97, 404)(98, 433)(99, 399)(100, 402)(101, 438)(102, 440)(103, 405)(104, 443)(105, 412)(106, 441)(107, 407)(108, 410)(109, 446)(110, 449)(111, 413)(112, 416)(113, 415)(114, 451)(115, 418)(116, 452)(117, 454)(118, 457)(119, 421)(120, 424)(121, 423)(122, 459)(123, 426)(124, 460)(125, 462)(126, 464)(127, 429)(128, 467)(129, 436)(130, 465)(131, 431)(132, 434)(133, 470)(134, 472)(135, 437)(136, 475)(137, 444)(138, 473)(139, 439)(140, 442)(141, 471)(142, 477)(143, 445)(144, 448)(145, 447)(146, 469)(147, 450)(148, 478)(149, 463)(150, 479)(151, 453)(152, 456)(153, 455)(154, 461)(155, 458)(156, 480)(157, 468)(158, 466)(159, 476)(160, 474)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2862
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1418>$ (small group id <320, 1418>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 6, 166, 5, 165)(3, 163, 9, 169, 14, 174, 11, 171)(4, 164, 12, 172, 15, 175, 8, 168)(7, 167, 16, 176, 13, 173, 18, 178)(10, 170, 21, 181, 24, 184, 20, 180)(17, 177, 27, 187, 23, 183, 26, 186)(19, 179, 29, 189, 22, 182, 31, 191)(25, 185, 33, 193, 28, 188, 35, 195)(30, 190, 39, 199, 32, 192, 38, 198)(34, 194, 43, 203, 36, 196, 42, 202)(37, 197, 45, 205, 40, 200, 47, 207)(41, 201, 49, 209, 44, 204, 51, 211)(46, 206, 55, 215, 48, 208, 54, 214)(50, 210, 59, 219, 52, 212, 58, 218)(53, 213, 61, 221, 56, 216, 63, 223)(57, 217, 65, 225, 60, 220, 67, 227)(62, 222, 71, 231, 64, 224, 70, 230)(66, 226, 110, 270, 68, 228, 109, 269)(69, 229, 113, 273, 72, 232, 115, 275)(73, 233, 117, 277, 76, 236, 119, 279)(74, 234, 120, 280, 82, 242, 122, 282)(75, 235, 123, 283, 83, 243, 125, 285)(77, 237, 127, 287, 81, 241, 129, 289)(78, 238, 130, 290, 80, 240, 132, 292)(79, 239, 133, 293, 88, 248, 135, 295)(84, 244, 140, 300, 87, 247, 142, 302)(85, 245, 143, 303, 86, 246, 145, 305)(89, 249, 149, 309, 90, 250, 151, 311)(91, 251, 153, 313, 92, 252, 155, 315)(93, 253, 157, 317, 94, 254, 159, 319)(95, 255, 152, 312, 96, 256, 150, 310)(97, 257, 144, 304, 98, 258, 146, 306)(99, 259, 160, 320, 100, 260, 158, 318)(101, 261, 154, 314, 102, 262, 156, 316)(103, 263, 128, 288, 104, 264, 137, 297)(105, 265, 138, 298, 106, 266, 121, 281)(107, 267, 141, 301, 108, 268, 147, 307)(111, 271, 148, 308, 112, 272, 134, 294)(114, 274, 126, 286, 116, 276, 118, 278)(124, 284, 131, 291, 139, 299, 136, 296)(321, 481, 323, 483)(322, 482, 327, 487)(324, 484, 330, 490)(325, 485, 333, 493)(326, 486, 334, 494)(328, 488, 337, 497)(329, 489, 339, 499)(331, 491, 342, 502)(332, 492, 343, 503)(335, 495, 344, 504)(336, 496, 345, 505)(338, 498, 348, 508)(340, 500, 350, 510)(341, 501, 352, 512)(346, 506, 354, 514)(347, 507, 356, 516)(349, 509, 357, 517)(351, 511, 360, 520)(353, 513, 361, 521)(355, 515, 364, 524)(358, 518, 366, 526)(359, 519, 368, 528)(362, 522, 370, 530)(363, 523, 372, 532)(365, 525, 373, 533)(367, 527, 376, 536)(369, 529, 377, 537)(371, 531, 380, 540)(374, 534, 382, 542)(375, 535, 384, 544)(378, 538, 386, 546)(379, 539, 388, 548)(381, 541, 389, 549)(383, 543, 392, 552)(385, 545, 393, 553)(387, 547, 396, 556)(390, 550, 398, 558)(391, 551, 400, 560)(394, 554, 433, 593)(395, 555, 430, 590)(397, 557, 437, 597)(399, 559, 450, 610)(401, 561, 439, 599)(402, 562, 435, 595)(403, 563, 429, 589)(404, 564, 445, 605)(405, 565, 440, 600)(406, 566, 442, 602)(407, 567, 443, 603)(408, 568, 452, 612)(409, 569, 447, 607)(410, 570, 449, 609)(411, 571, 455, 615)(412, 572, 453, 613)(413, 573, 462, 622)(414, 574, 460, 620)(415, 575, 463, 623)(416, 576, 465, 625)(417, 577, 469, 629)(418, 578, 471, 631)(419, 579, 475, 635)(420, 580, 473, 633)(421, 581, 479, 639)(422, 582, 477, 637)(423, 583, 472, 632)(424, 584, 470, 630)(425, 585, 464, 624)(426, 586, 466, 626)(427, 587, 478, 638)(428, 588, 480, 640)(431, 591, 476, 636)(432, 592, 474, 634)(434, 594, 448, 608)(436, 596, 457, 617)(438, 598, 458, 618)(441, 601, 446, 606)(444, 604, 468, 628)(451, 611, 467, 627)(454, 614, 459, 619)(456, 616, 461, 621)
	L = (1, 324)(2, 328)(3, 330)(4, 321)(5, 332)(6, 335)(7, 337)(8, 322)(9, 340)(10, 323)(11, 341)(12, 325)(13, 343)(14, 344)(15, 326)(16, 346)(17, 327)(18, 347)(19, 350)(20, 329)(21, 331)(22, 352)(23, 333)(24, 334)(25, 354)(26, 336)(27, 338)(28, 356)(29, 358)(30, 339)(31, 359)(32, 342)(33, 362)(34, 345)(35, 363)(36, 348)(37, 366)(38, 349)(39, 351)(40, 368)(41, 370)(42, 353)(43, 355)(44, 372)(45, 374)(46, 357)(47, 375)(48, 360)(49, 378)(50, 361)(51, 379)(52, 364)(53, 382)(54, 365)(55, 367)(56, 384)(57, 386)(58, 369)(59, 371)(60, 388)(61, 390)(62, 373)(63, 391)(64, 376)(65, 429)(66, 377)(67, 430)(68, 380)(69, 398)(70, 381)(71, 383)(72, 400)(73, 403)(74, 408)(75, 396)(76, 395)(77, 407)(78, 389)(79, 402)(80, 392)(81, 404)(82, 399)(83, 393)(84, 401)(85, 412)(86, 411)(87, 397)(88, 394)(89, 414)(90, 413)(91, 406)(92, 405)(93, 410)(94, 409)(95, 420)(96, 419)(97, 422)(98, 421)(99, 416)(100, 415)(101, 418)(102, 417)(103, 428)(104, 427)(105, 432)(106, 431)(107, 424)(108, 423)(109, 385)(110, 387)(111, 426)(112, 425)(113, 452)(114, 456)(115, 450)(116, 451)(117, 443)(118, 444)(119, 445)(120, 453)(121, 454)(122, 455)(123, 437)(124, 438)(125, 439)(126, 459)(127, 460)(128, 461)(129, 462)(130, 435)(131, 436)(132, 433)(133, 440)(134, 441)(135, 442)(136, 434)(137, 467)(138, 468)(139, 446)(140, 447)(141, 448)(142, 449)(143, 473)(144, 474)(145, 475)(146, 476)(147, 457)(148, 458)(149, 477)(150, 478)(151, 479)(152, 480)(153, 463)(154, 464)(155, 465)(156, 466)(157, 469)(158, 470)(159, 471)(160, 472)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2855
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1424>$ (small group id <320, 1424>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, Y1^4, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 16, 176, 13, 173)(4, 164, 9, 169, 6, 166, 10, 170)(8, 168, 17, 177, 15, 175, 19, 179)(12, 172, 22, 182, 14, 174, 23, 183)(18, 178, 26, 186, 20, 180, 27, 187)(21, 181, 29, 189, 24, 184, 31, 191)(25, 185, 33, 193, 28, 188, 35, 195)(30, 190, 38, 198, 32, 192, 39, 199)(34, 194, 42, 202, 36, 196, 43, 203)(37, 197, 45, 205, 40, 200, 47, 207)(41, 201, 49, 209, 44, 204, 51, 211)(46, 206, 54, 214, 48, 208, 55, 215)(50, 210, 58, 218, 52, 212, 59, 219)(53, 213, 61, 221, 56, 216, 63, 223)(57, 217, 65, 225, 60, 220, 67, 227)(62, 222, 70, 230, 64, 224, 71, 231)(66, 226, 105, 265, 68, 228, 107, 267)(69, 229, 109, 269, 72, 232, 112, 272)(73, 233, 113, 273, 76, 236, 114, 274)(74, 234, 115, 275, 75, 235, 116, 276)(77, 237, 117, 277, 78, 238, 118, 278)(79, 239, 119, 279, 80, 240, 120, 280)(81, 241, 121, 281, 82, 242, 122, 282)(83, 243, 123, 283, 84, 244, 124, 284)(85, 245, 125, 285, 86, 246, 126, 286)(87, 247, 127, 287, 88, 248, 128, 288)(89, 249, 129, 289, 90, 250, 130, 290)(91, 251, 131, 291, 92, 252, 132, 292)(93, 253, 133, 293, 94, 254, 134, 294)(95, 255, 135, 295, 96, 256, 136, 296)(97, 257, 137, 297, 98, 258, 138, 298)(99, 259, 139, 299, 100, 260, 140, 300)(101, 261, 141, 301, 102, 262, 142, 302)(103, 263, 143, 303, 104, 264, 144, 304)(106, 266, 146, 306, 108, 268, 148, 308)(110, 270, 150, 310, 111, 271, 151, 311)(145, 305, 159, 319, 147, 307, 160, 320)(149, 309, 157, 317, 152, 312, 158, 318)(153, 313, 156, 316, 154, 314, 155, 315)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 335, 495)(326, 486, 332, 492)(327, 487, 336, 496)(329, 489, 340, 500)(330, 490, 338, 498)(331, 491, 341, 501)(333, 493, 344, 504)(337, 497, 345, 505)(339, 499, 348, 508)(342, 502, 352, 512)(343, 503, 350, 510)(346, 506, 356, 516)(347, 507, 354, 514)(349, 509, 357, 517)(351, 511, 360, 520)(353, 513, 361, 521)(355, 515, 364, 524)(358, 518, 368, 528)(359, 519, 366, 526)(362, 522, 372, 532)(363, 523, 370, 530)(365, 525, 373, 533)(367, 527, 376, 536)(369, 529, 377, 537)(371, 531, 380, 540)(374, 534, 384, 544)(375, 535, 382, 542)(378, 538, 388, 548)(379, 539, 386, 546)(381, 541, 389, 549)(383, 543, 392, 552)(385, 545, 398, 558)(387, 547, 397, 557)(390, 550, 393, 553)(391, 551, 396, 556)(394, 554, 425, 585)(395, 555, 427, 587)(399, 559, 434, 594)(400, 560, 433, 593)(401, 561, 436, 596)(402, 562, 435, 595)(403, 563, 432, 592)(404, 564, 429, 589)(405, 565, 437, 597)(406, 566, 438, 598)(407, 567, 440, 600)(408, 568, 439, 599)(409, 569, 442, 602)(410, 570, 441, 601)(411, 571, 443, 603)(412, 572, 444, 604)(413, 573, 445, 605)(414, 574, 446, 606)(415, 575, 448, 608)(416, 576, 447, 607)(417, 577, 450, 610)(418, 578, 449, 609)(419, 579, 451, 611)(420, 580, 452, 612)(421, 581, 453, 613)(422, 582, 454, 614)(423, 583, 456, 616)(424, 584, 455, 615)(426, 586, 458, 618)(428, 588, 457, 617)(430, 590, 459, 619)(431, 591, 460, 620)(461, 621, 465, 625)(462, 622, 467, 627)(463, 623, 472, 632)(464, 624, 469, 629)(466, 626, 477, 637)(468, 628, 478, 638)(470, 630, 474, 634)(471, 631, 473, 633)(475, 635, 480, 640)(476, 636, 479, 639)
	L = (1, 324)(2, 329)(3, 332)(4, 327)(5, 330)(6, 321)(7, 326)(8, 338)(9, 325)(10, 322)(11, 342)(12, 336)(13, 343)(14, 323)(15, 340)(16, 334)(17, 346)(18, 335)(19, 347)(20, 328)(21, 350)(22, 333)(23, 331)(24, 352)(25, 354)(26, 339)(27, 337)(28, 356)(29, 358)(30, 344)(31, 359)(32, 341)(33, 362)(34, 348)(35, 363)(36, 345)(37, 366)(38, 351)(39, 349)(40, 368)(41, 370)(42, 355)(43, 353)(44, 372)(45, 374)(46, 360)(47, 375)(48, 357)(49, 378)(50, 364)(51, 379)(52, 361)(53, 382)(54, 367)(55, 365)(56, 384)(57, 386)(58, 371)(59, 369)(60, 388)(61, 390)(62, 376)(63, 391)(64, 373)(65, 425)(66, 380)(67, 427)(68, 377)(69, 396)(70, 383)(71, 381)(72, 393)(73, 389)(74, 398)(75, 397)(76, 392)(77, 394)(78, 395)(79, 404)(80, 403)(81, 406)(82, 405)(83, 399)(84, 400)(85, 401)(86, 402)(87, 412)(88, 411)(89, 414)(90, 413)(91, 407)(92, 408)(93, 409)(94, 410)(95, 420)(96, 419)(97, 422)(98, 421)(99, 415)(100, 416)(101, 417)(102, 418)(103, 431)(104, 430)(105, 387)(106, 467)(107, 385)(108, 465)(109, 434)(110, 423)(111, 424)(112, 433)(113, 429)(114, 432)(115, 438)(116, 437)(117, 435)(118, 436)(119, 444)(120, 443)(121, 446)(122, 445)(123, 439)(124, 440)(125, 441)(126, 442)(127, 452)(128, 451)(129, 454)(130, 453)(131, 447)(132, 448)(133, 449)(134, 450)(135, 460)(136, 459)(137, 462)(138, 461)(139, 455)(140, 456)(141, 457)(142, 458)(143, 471)(144, 470)(145, 426)(146, 480)(147, 428)(148, 479)(149, 473)(150, 463)(151, 464)(152, 474)(153, 472)(154, 469)(155, 477)(156, 478)(157, 476)(158, 475)(159, 466)(160, 468)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2856
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1444>$ (small group id <320, 1444>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y3^-4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 20, 180, 13, 173)(4, 164, 15, 175, 21, 181, 10, 170)(6, 166, 18, 178, 22, 182, 9, 169)(8, 168, 23, 183, 17, 177, 25, 185)(12, 172, 32, 192, 39, 199, 31, 191)(14, 174, 35, 195, 40, 200, 30, 190)(16, 176, 28, 188, 19, 179, 27, 187)(24, 184, 44, 204, 37, 197, 43, 203)(26, 186, 47, 207, 38, 198, 42, 202)(29, 189, 49, 209, 34, 194, 51, 211)(33, 193, 54, 214, 36, 196, 53, 213)(41, 201, 57, 217, 46, 206, 59, 219)(45, 205, 62, 222, 48, 208, 61, 221)(50, 210, 68, 228, 55, 215, 67, 227)(52, 212, 71, 231, 56, 216, 66, 226)(58, 218, 76, 236, 63, 223, 75, 235)(60, 220, 79, 239, 64, 224, 74, 234)(65, 225, 81, 241, 70, 230, 83, 243)(69, 229, 86, 246, 72, 232, 85, 245)(73, 233, 89, 249, 78, 238, 91, 251)(77, 237, 94, 254, 80, 240, 93, 253)(82, 242, 100, 260, 87, 247, 99, 259)(84, 244, 103, 263, 88, 248, 98, 258)(90, 250, 108, 268, 95, 255, 107, 267)(92, 252, 111, 271, 96, 256, 106, 266)(97, 257, 113, 273, 102, 262, 115, 275)(101, 261, 118, 278, 104, 264, 117, 277)(105, 265, 121, 281, 110, 270, 123, 283)(109, 269, 126, 286, 112, 272, 125, 285)(114, 274, 132, 292, 119, 279, 131, 291)(116, 276, 135, 295, 120, 280, 130, 290)(122, 282, 140, 300, 127, 287, 139, 299)(124, 284, 143, 303, 128, 288, 138, 298)(129, 289, 145, 305, 134, 294, 147, 307)(133, 293, 150, 310, 136, 296, 149, 309)(137, 297, 153, 313, 142, 302, 155, 315)(141, 301, 158, 318, 144, 304, 157, 317)(146, 306, 154, 314, 151, 311, 159, 319)(148, 308, 160, 320, 152, 312, 156, 316)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 337, 497)(326, 486, 332, 492)(327, 487, 340, 500)(329, 489, 346, 506)(330, 490, 344, 504)(331, 491, 349, 509)(333, 493, 354, 514)(335, 495, 357, 517)(336, 496, 356, 516)(338, 498, 358, 518)(339, 499, 353, 513)(341, 501, 360, 520)(342, 502, 359, 519)(343, 503, 361, 521)(345, 505, 366, 526)(347, 507, 368, 528)(348, 508, 365, 525)(350, 510, 372, 532)(351, 511, 370, 530)(352, 512, 375, 535)(355, 515, 376, 536)(362, 522, 380, 540)(363, 523, 378, 538)(364, 524, 383, 543)(367, 527, 384, 544)(369, 529, 385, 545)(371, 531, 390, 550)(373, 533, 392, 552)(374, 534, 389, 549)(377, 537, 393, 553)(379, 539, 398, 558)(381, 541, 400, 560)(382, 542, 397, 557)(386, 546, 404, 564)(387, 547, 402, 562)(388, 548, 407, 567)(391, 551, 408, 568)(394, 554, 412, 572)(395, 555, 410, 570)(396, 556, 415, 575)(399, 559, 416, 576)(401, 561, 417, 577)(403, 563, 422, 582)(405, 565, 424, 584)(406, 566, 421, 581)(409, 569, 425, 585)(411, 571, 430, 590)(413, 573, 432, 592)(414, 574, 429, 589)(418, 578, 436, 596)(419, 579, 434, 594)(420, 580, 439, 599)(423, 583, 440, 600)(426, 586, 444, 604)(427, 587, 442, 602)(428, 588, 447, 607)(431, 591, 448, 608)(433, 593, 449, 609)(435, 595, 454, 614)(437, 597, 456, 616)(438, 598, 453, 613)(441, 601, 457, 617)(443, 603, 462, 622)(445, 605, 464, 624)(446, 606, 461, 621)(450, 610, 468, 628)(451, 611, 466, 626)(452, 612, 471, 631)(455, 615, 472, 632)(458, 618, 476, 636)(459, 619, 474, 634)(460, 620, 479, 639)(463, 623, 480, 640)(465, 625, 477, 637)(467, 627, 478, 638)(469, 629, 475, 635)(470, 630, 473, 633)
	L = (1, 324)(2, 329)(3, 332)(4, 336)(5, 338)(6, 321)(7, 341)(8, 344)(9, 347)(10, 322)(11, 350)(12, 353)(13, 355)(14, 323)(15, 325)(16, 342)(17, 357)(18, 348)(19, 326)(20, 359)(21, 339)(22, 327)(23, 362)(24, 365)(25, 367)(26, 328)(27, 335)(28, 330)(29, 370)(30, 373)(31, 331)(32, 333)(33, 360)(34, 375)(35, 374)(36, 334)(37, 368)(38, 337)(39, 356)(40, 340)(41, 378)(42, 381)(43, 343)(44, 345)(45, 358)(46, 383)(47, 382)(48, 346)(49, 386)(50, 389)(51, 391)(52, 349)(53, 352)(54, 351)(55, 392)(56, 354)(57, 394)(58, 397)(59, 399)(60, 361)(61, 364)(62, 363)(63, 400)(64, 366)(65, 402)(66, 405)(67, 369)(68, 371)(69, 376)(70, 407)(71, 406)(72, 372)(73, 410)(74, 413)(75, 377)(76, 379)(77, 384)(78, 415)(79, 414)(80, 380)(81, 418)(82, 421)(83, 423)(84, 385)(85, 388)(86, 387)(87, 424)(88, 390)(89, 426)(90, 429)(91, 431)(92, 393)(93, 396)(94, 395)(95, 432)(96, 398)(97, 434)(98, 437)(99, 401)(100, 403)(101, 408)(102, 439)(103, 438)(104, 404)(105, 442)(106, 445)(107, 409)(108, 411)(109, 416)(110, 447)(111, 446)(112, 412)(113, 450)(114, 453)(115, 455)(116, 417)(117, 420)(118, 419)(119, 456)(120, 422)(121, 458)(122, 461)(123, 463)(124, 425)(125, 428)(126, 427)(127, 464)(128, 430)(129, 466)(130, 469)(131, 433)(132, 435)(133, 440)(134, 471)(135, 470)(136, 436)(137, 474)(138, 477)(139, 441)(140, 443)(141, 448)(142, 479)(143, 478)(144, 444)(145, 476)(146, 473)(147, 480)(148, 449)(149, 452)(150, 451)(151, 475)(152, 454)(153, 472)(154, 467)(155, 468)(156, 457)(157, 460)(158, 459)(159, 465)(160, 462)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2857
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C2 x D40) : C2 (small group id <160, 129>)
Aut   = $<320, 1446>$ (small group id <320, 1446>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^-1 * Y3^-4 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 7, 167, 5, 165)(3, 163, 11, 171, 20, 180, 13, 173)(4, 164, 15, 175, 21, 181, 10, 170)(6, 166, 18, 178, 22, 182, 9, 169)(8, 168, 23, 183, 17, 177, 25, 185)(12, 172, 32, 192, 39, 199, 31, 191)(14, 174, 35, 195, 40, 200, 30, 190)(16, 176, 28, 188, 19, 179, 27, 187)(24, 184, 44, 204, 37, 197, 43, 203)(26, 186, 47, 207, 38, 198, 42, 202)(29, 189, 49, 209, 34, 194, 51, 211)(33, 193, 54, 214, 36, 196, 53, 213)(41, 201, 57, 217, 46, 206, 59, 219)(45, 205, 62, 222, 48, 208, 61, 221)(50, 210, 68, 228, 55, 215, 67, 227)(52, 212, 71, 231, 56, 216, 66, 226)(58, 218, 76, 236, 63, 223, 75, 235)(60, 220, 79, 239, 64, 224, 74, 234)(65, 225, 81, 241, 70, 230, 83, 243)(69, 229, 86, 246, 72, 232, 85, 245)(73, 233, 89, 249, 78, 238, 91, 251)(77, 237, 94, 254, 80, 240, 93, 253)(82, 242, 100, 260, 87, 247, 99, 259)(84, 244, 103, 263, 88, 248, 98, 258)(90, 250, 108, 268, 95, 255, 107, 267)(92, 252, 111, 271, 96, 256, 106, 266)(97, 257, 113, 273, 102, 262, 115, 275)(101, 261, 118, 278, 104, 264, 117, 277)(105, 265, 121, 281, 110, 270, 123, 283)(109, 269, 126, 286, 112, 272, 125, 285)(114, 274, 132, 292, 119, 279, 131, 291)(116, 276, 135, 295, 120, 280, 130, 290)(122, 282, 140, 300, 127, 287, 139, 299)(124, 284, 143, 303, 128, 288, 138, 298)(129, 289, 145, 305, 134, 294, 147, 307)(133, 293, 150, 310, 136, 296, 149, 309)(137, 297, 153, 313, 142, 302, 155, 315)(141, 301, 158, 318, 144, 304, 157, 317)(146, 306, 159, 319, 151, 311, 154, 314)(148, 308, 156, 316, 152, 312, 160, 320)(321, 481, 323, 483)(322, 482, 328, 488)(324, 484, 334, 494)(325, 485, 337, 497)(326, 486, 332, 492)(327, 487, 340, 500)(329, 489, 346, 506)(330, 490, 344, 504)(331, 491, 349, 509)(333, 493, 354, 514)(335, 495, 357, 517)(336, 496, 356, 516)(338, 498, 358, 518)(339, 499, 353, 513)(341, 501, 360, 520)(342, 502, 359, 519)(343, 503, 361, 521)(345, 505, 366, 526)(347, 507, 368, 528)(348, 508, 365, 525)(350, 510, 372, 532)(351, 511, 370, 530)(352, 512, 375, 535)(355, 515, 376, 536)(362, 522, 380, 540)(363, 523, 378, 538)(364, 524, 383, 543)(367, 527, 384, 544)(369, 529, 385, 545)(371, 531, 390, 550)(373, 533, 392, 552)(374, 534, 389, 549)(377, 537, 393, 553)(379, 539, 398, 558)(381, 541, 400, 560)(382, 542, 397, 557)(386, 546, 404, 564)(387, 547, 402, 562)(388, 548, 407, 567)(391, 551, 408, 568)(394, 554, 412, 572)(395, 555, 410, 570)(396, 556, 415, 575)(399, 559, 416, 576)(401, 561, 417, 577)(403, 563, 422, 582)(405, 565, 424, 584)(406, 566, 421, 581)(409, 569, 425, 585)(411, 571, 430, 590)(413, 573, 432, 592)(414, 574, 429, 589)(418, 578, 436, 596)(419, 579, 434, 594)(420, 580, 439, 599)(423, 583, 440, 600)(426, 586, 444, 604)(427, 587, 442, 602)(428, 588, 447, 607)(431, 591, 448, 608)(433, 593, 449, 609)(435, 595, 454, 614)(437, 597, 456, 616)(438, 598, 453, 613)(441, 601, 457, 617)(443, 603, 462, 622)(445, 605, 464, 624)(446, 606, 461, 621)(450, 610, 468, 628)(451, 611, 466, 626)(452, 612, 471, 631)(455, 615, 472, 632)(458, 618, 476, 636)(459, 619, 474, 634)(460, 620, 479, 639)(463, 623, 480, 640)(465, 625, 478, 638)(467, 627, 477, 637)(469, 629, 473, 633)(470, 630, 475, 635)
	L = (1, 324)(2, 329)(3, 332)(4, 336)(5, 338)(6, 321)(7, 341)(8, 344)(9, 347)(10, 322)(11, 350)(12, 353)(13, 355)(14, 323)(15, 325)(16, 342)(17, 357)(18, 348)(19, 326)(20, 359)(21, 339)(22, 327)(23, 362)(24, 365)(25, 367)(26, 328)(27, 335)(28, 330)(29, 370)(30, 373)(31, 331)(32, 333)(33, 360)(34, 375)(35, 374)(36, 334)(37, 368)(38, 337)(39, 356)(40, 340)(41, 378)(42, 381)(43, 343)(44, 345)(45, 358)(46, 383)(47, 382)(48, 346)(49, 386)(50, 389)(51, 391)(52, 349)(53, 352)(54, 351)(55, 392)(56, 354)(57, 394)(58, 397)(59, 399)(60, 361)(61, 364)(62, 363)(63, 400)(64, 366)(65, 402)(66, 405)(67, 369)(68, 371)(69, 376)(70, 407)(71, 406)(72, 372)(73, 410)(74, 413)(75, 377)(76, 379)(77, 384)(78, 415)(79, 414)(80, 380)(81, 418)(82, 421)(83, 423)(84, 385)(85, 388)(86, 387)(87, 424)(88, 390)(89, 426)(90, 429)(91, 431)(92, 393)(93, 396)(94, 395)(95, 432)(96, 398)(97, 434)(98, 437)(99, 401)(100, 403)(101, 408)(102, 439)(103, 438)(104, 404)(105, 442)(106, 445)(107, 409)(108, 411)(109, 416)(110, 447)(111, 446)(112, 412)(113, 450)(114, 453)(115, 455)(116, 417)(117, 420)(118, 419)(119, 456)(120, 422)(121, 458)(122, 461)(123, 463)(124, 425)(125, 428)(126, 427)(127, 464)(128, 430)(129, 466)(130, 469)(131, 433)(132, 435)(133, 440)(134, 471)(135, 470)(136, 436)(137, 474)(138, 477)(139, 441)(140, 443)(141, 448)(142, 479)(143, 478)(144, 444)(145, 480)(146, 475)(147, 476)(148, 449)(149, 452)(150, 451)(151, 473)(152, 454)(153, 468)(154, 465)(155, 472)(156, 457)(157, 460)(158, 459)(159, 467)(160, 462)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2858
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2863 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^5, (Y1 * Y2)^5, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 161)(3, 167, 7, 163)(4, 169, 9, 164)(5, 170, 10, 165)(6, 172, 12, 166)(8, 175, 15, 168)(11, 180, 20, 171)(13, 183, 23, 173)(14, 185, 25, 174)(16, 188, 28, 176)(17, 190, 30, 177)(18, 191, 31, 178)(19, 193, 33, 179)(21, 196, 36, 181)(22, 198, 38, 182)(24, 200, 40, 184)(26, 203, 43, 186)(27, 205, 45, 187)(29, 208, 48, 189)(32, 211, 51, 192)(34, 214, 54, 194)(35, 216, 56, 195)(37, 219, 59, 197)(39, 221, 61, 199)(41, 224, 64, 201)(42, 226, 66, 202)(44, 215, 55, 204)(46, 227, 67, 206)(47, 231, 71, 207)(49, 232, 72, 209)(50, 233, 73, 210)(52, 236, 76, 212)(53, 238, 78, 213)(57, 239, 79, 217)(58, 243, 83, 218)(60, 244, 84, 220)(62, 247, 87, 222)(63, 248, 88, 223)(65, 251, 91, 225)(68, 254, 94, 228)(69, 255, 95, 229)(70, 256, 96, 230)(74, 263, 103, 234)(75, 264, 104, 235)(77, 267, 107, 237)(80, 270, 110, 240)(81, 271, 111, 241)(82, 272, 112, 242)(85, 277, 117, 245)(86, 278, 118, 246)(89, 279, 119, 249)(90, 283, 123, 250)(92, 284, 124, 252)(93, 285, 125, 253)(97, 288, 128, 257)(98, 280, 120, 258)(99, 281, 121, 259)(100, 290, 130, 260)(101, 291, 131, 261)(102, 292, 132, 262)(105, 293, 133, 265)(106, 297, 137, 266)(108, 298, 138, 268)(109, 299, 139, 269)(113, 302, 142, 273)(114, 294, 134, 274)(115, 295, 135, 275)(116, 304, 144, 276)(122, 301, 141, 282)(126, 303, 143, 286)(127, 296, 136, 287)(129, 300, 140, 289)(145, 313, 153, 305)(146, 318, 158, 306)(147, 319, 159, 307)(148, 320, 160, 308)(149, 317, 157, 309)(150, 314, 154, 310)(151, 315, 155, 311)(152, 316, 156, 312)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 31)(25, 41)(27, 44)(28, 46)(30, 49)(33, 52)(35, 55)(36, 57)(38, 60)(39, 50)(40, 62)(42, 65)(43, 67)(45, 69)(47, 70)(48, 63)(51, 74)(53, 77)(54, 79)(56, 81)(58, 82)(59, 75)(61, 85)(64, 89)(66, 92)(68, 93)(71, 97)(72, 99)(73, 101)(76, 105)(78, 108)(80, 109)(83, 113)(84, 115)(86, 107)(87, 119)(88, 121)(90, 122)(91, 102)(94, 126)(95, 111)(96, 116)(98, 129)(100, 112)(103, 133)(104, 135)(106, 136)(110, 140)(114, 143)(117, 145)(118, 147)(120, 148)(123, 149)(124, 151)(125, 152)(127, 141)(128, 150)(130, 146)(131, 153)(132, 155)(134, 156)(137, 157)(138, 159)(139, 160)(142, 158)(144, 154)(161, 164)(162, 166)(163, 168)(165, 171)(167, 174)(169, 177)(170, 179)(172, 182)(173, 184)(175, 187)(176, 189)(178, 192)(180, 195)(181, 197)(183, 199)(185, 202)(186, 204)(188, 207)(190, 198)(191, 210)(193, 213)(194, 215)(196, 218)(200, 223)(201, 225)(203, 228)(205, 226)(206, 230)(208, 222)(209, 220)(211, 235)(212, 237)(214, 240)(216, 238)(217, 242)(219, 234)(221, 246)(224, 250)(227, 253)(229, 252)(231, 258)(232, 260)(233, 262)(236, 266)(239, 269)(241, 268)(243, 274)(244, 276)(245, 267)(247, 280)(248, 278)(249, 282)(251, 261)(254, 270)(255, 287)(256, 275)(257, 289)(259, 272)(263, 294)(264, 292)(265, 296)(271, 301)(273, 303)(277, 306)(279, 308)(281, 307)(283, 310)(284, 312)(285, 311)(286, 300)(288, 309)(290, 305)(291, 314)(293, 316)(295, 315)(297, 318)(298, 320)(299, 319)(302, 317)(304, 313)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2864
Transitivity :: VT+ AT
Graph:: simple
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2864 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, (Y3 * Y1^-1)^5, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1, Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 162, 2, 166, 6, 165, 5, 161)(3, 169, 9, 183, 23, 171, 11, 163)(4, 172, 12, 189, 29, 173, 13, 164)(7, 178, 18, 199, 39, 180, 20, 167)(8, 181, 21, 204, 44, 182, 22, 168)(10, 186, 26, 195, 35, 179, 19, 170)(14, 190, 30, 215, 55, 191, 31, 174)(15, 192, 32, 220, 60, 193, 33, 175)(16, 194, 34, 221, 61, 196, 36, 176)(17, 197, 37, 226, 66, 198, 38, 177)(24, 207, 47, 241, 81, 208, 48, 184)(25, 209, 49, 244, 84, 210, 50, 185)(27, 211, 51, 245, 85, 212, 52, 187)(28, 213, 53, 248, 88, 214, 54, 188)(40, 229, 69, 269, 109, 230, 70, 200)(41, 231, 71, 270, 110, 232, 72, 201)(42, 233, 73, 271, 111, 234, 74, 202)(43, 235, 75, 272, 112, 236, 76, 203)(45, 237, 77, 255, 95, 238, 78, 205)(46, 239, 79, 256, 96, 240, 80, 206)(56, 251, 91, 284, 124, 247, 87, 216)(57, 246, 86, 283, 123, 252, 92, 217)(58, 253, 93, 279, 119, 242, 82, 218)(59, 243, 83, 280, 120, 254, 94, 219)(62, 257, 97, 285, 125, 258, 98, 222)(63, 259, 99, 286, 126, 260, 100, 223)(64, 261, 101, 287, 127, 262, 102, 224)(65, 263, 103, 288, 128, 264, 104, 225)(67, 265, 105, 249, 89, 266, 106, 227)(68, 267, 107, 250, 90, 268, 108, 228)(113, 296, 136, 308, 148, 294, 134, 273)(114, 293, 133, 307, 147, 295, 135, 274)(115, 297, 137, 309, 149, 298, 138, 275)(116, 299, 139, 310, 150, 300, 140, 276)(117, 301, 141, 281, 121, 292, 132, 277)(118, 291, 131, 282, 122, 302, 142, 278)(129, 306, 146, 314, 154, 304, 144, 289)(130, 303, 143, 313, 153, 305, 145, 290)(151, 318, 158, 319, 159, 315, 155, 311)(152, 316, 156, 320, 160, 317, 157, 312)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 27)(12, 28)(13, 25)(15, 26)(17, 35)(18, 40)(20, 42)(21, 43)(22, 41)(23, 45)(29, 46)(30, 56)(31, 58)(32, 59)(33, 57)(34, 62)(36, 64)(37, 65)(38, 63)(39, 67)(44, 68)(47, 82)(48, 76)(49, 73)(50, 83)(51, 86)(52, 69)(53, 72)(54, 87)(55, 89)(60, 90)(61, 95)(66, 96)(70, 104)(71, 101)(74, 97)(75, 100)(77, 113)(78, 115)(79, 116)(80, 114)(81, 117)(84, 118)(85, 121)(88, 122)(91, 102)(92, 103)(93, 99)(94, 98)(105, 129)(106, 131)(107, 132)(108, 130)(109, 133)(110, 134)(111, 135)(112, 136)(119, 140)(120, 137)(123, 138)(124, 139)(125, 143)(126, 144)(127, 145)(128, 146)(141, 151)(142, 152)(147, 155)(148, 156)(149, 157)(150, 158)(153, 159)(154, 160)(161, 164)(162, 168)(163, 170)(165, 175)(166, 177)(167, 179)(169, 185)(171, 188)(172, 187)(173, 184)(174, 186)(176, 195)(178, 201)(180, 203)(181, 202)(182, 200)(183, 206)(189, 205)(190, 217)(191, 219)(192, 218)(193, 216)(194, 223)(196, 225)(197, 224)(198, 222)(199, 228)(204, 227)(207, 243)(208, 233)(209, 236)(210, 242)(211, 247)(212, 232)(213, 229)(214, 246)(215, 250)(220, 249)(221, 256)(226, 255)(230, 261)(231, 264)(234, 260)(235, 257)(237, 274)(238, 276)(239, 275)(240, 273)(241, 278)(244, 277)(245, 282)(248, 281)(251, 263)(252, 262)(253, 258)(254, 259)(265, 290)(266, 292)(267, 291)(268, 289)(269, 294)(270, 293)(271, 296)(272, 295)(279, 297)(280, 300)(283, 299)(284, 298)(285, 304)(286, 303)(287, 306)(288, 305)(301, 312)(302, 311)(307, 316)(308, 315)(309, 318)(310, 317)(313, 320)(314, 319)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2863
Transitivity :: VT+ AT
Graph:: simple
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2865 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3 * Y1)^5, (Y3 * Y2)^5, (Y1 * Y3 * Y1 * Y2 * Y3 * Y2)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164)(2, 162, 6, 166)(3, 163, 7, 167)(5, 165, 10, 170)(8, 168, 16, 176)(9, 169, 17, 177)(11, 171, 21, 181)(12, 172, 22, 182)(13, 173, 24, 184)(14, 174, 25, 185)(15, 175, 26, 186)(18, 178, 32, 192)(19, 179, 33, 193)(20, 180, 34, 194)(23, 183, 39, 199)(27, 187, 35, 195)(28, 188, 47, 207)(29, 189, 49, 209)(30, 190, 43, 203)(31, 191, 50, 210)(36, 196, 58, 218)(37, 197, 60, 220)(38, 198, 54, 214)(40, 200, 51, 211)(41, 201, 62, 222)(42, 202, 64, 224)(44, 204, 65, 225)(45, 205, 66, 226)(46, 206, 67, 227)(48, 208, 70, 230)(52, 212, 74, 234)(53, 213, 76, 236)(55, 215, 77, 237)(56, 216, 78, 238)(57, 217, 79, 239)(59, 219, 82, 242)(61, 221, 85, 245)(63, 223, 88, 248)(68, 228, 98, 258)(69, 229, 94, 254)(71, 231, 91, 251)(72, 232, 100, 260)(73, 233, 101, 261)(75, 235, 104, 264)(80, 240, 114, 274)(81, 241, 110, 270)(83, 243, 107, 267)(84, 244, 116, 276)(86, 246, 120, 280)(87, 247, 108, 268)(89, 249, 109, 269)(90, 250, 122, 282)(92, 252, 103, 263)(93, 253, 105, 265)(95, 255, 125, 285)(96, 256, 126, 286)(97, 257, 113, 273)(99, 259, 121, 281)(102, 262, 134, 294)(106, 266, 136, 296)(111, 271, 139, 299)(112, 272, 140, 300)(115, 275, 135, 295)(117, 277, 145, 305)(118, 278, 146, 306)(119, 279, 133, 293)(123, 283, 147, 307)(124, 284, 148, 308)(127, 287, 149, 309)(128, 288, 151, 311)(129, 289, 152, 312)(130, 290, 150, 310)(131, 291, 153, 313)(132, 292, 154, 314)(137, 297, 155, 315)(138, 298, 156, 316)(141, 301, 157, 317)(142, 302, 159, 319)(143, 303, 160, 320)(144, 304, 158, 318)(321, 322)(323, 325)(324, 328)(326, 331)(327, 333)(329, 335)(330, 338)(332, 340)(334, 343)(336, 347)(337, 349)(339, 351)(341, 355)(342, 357)(344, 360)(345, 362)(346, 364)(348, 366)(350, 368)(352, 371)(353, 373)(354, 375)(356, 377)(358, 379)(359, 376)(361, 381)(363, 383)(365, 370)(367, 388)(369, 391)(372, 393)(374, 395)(378, 400)(380, 403)(382, 406)(384, 409)(385, 411)(386, 413)(387, 415)(389, 417)(390, 416)(392, 419)(394, 422)(396, 425)(397, 427)(398, 429)(399, 431)(401, 433)(402, 432)(404, 435)(405, 437)(407, 439)(408, 438)(410, 441)(412, 443)(414, 444)(418, 447)(420, 449)(421, 451)(423, 453)(424, 452)(426, 455)(428, 457)(430, 458)(434, 461)(436, 463)(440, 464)(442, 462)(445, 469)(446, 466)(448, 456)(450, 454)(459, 477)(460, 474)(465, 478)(467, 475)(468, 476)(470, 473)(471, 480)(472, 479)(481, 483)(482, 485)(484, 489)(486, 492)(487, 494)(488, 495)(490, 499)(491, 500)(493, 503)(496, 508)(497, 510)(498, 511)(501, 516)(502, 518)(504, 521)(505, 523)(506, 525)(507, 526)(509, 528)(512, 532)(513, 534)(514, 536)(515, 537)(517, 539)(519, 535)(520, 541)(522, 543)(524, 530)(527, 549)(529, 552)(531, 553)(533, 555)(538, 561)(540, 564)(542, 567)(544, 570)(545, 572)(546, 574)(547, 576)(548, 577)(550, 575)(551, 579)(554, 583)(556, 586)(557, 588)(558, 590)(559, 592)(560, 593)(562, 591)(563, 595)(565, 598)(566, 599)(568, 597)(569, 601)(571, 603)(573, 604)(578, 608)(580, 610)(581, 612)(582, 613)(584, 611)(585, 615)(587, 617)(589, 618)(594, 622)(596, 624)(600, 623)(602, 621)(605, 630)(606, 620)(607, 616)(609, 614)(619, 638)(625, 637)(626, 634)(627, 636)(628, 635)(629, 633)(631, 639)(632, 640)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2868
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.2866 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y1 * Y3)^5, (Y3^-1 * Y1 * Y3^-1)^4, Y3^2 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3 * Y1 * Y3^-2 * Y1 ]
Map:: polytopal
	R = (1, 161, 4, 164, 13, 173, 5, 165)(2, 162, 7, 167, 20, 180, 8, 168)(3, 163, 9, 169, 23, 183, 10, 170)(6, 166, 16, 176, 34, 194, 17, 177)(11, 171, 24, 184, 47, 207, 25, 185)(12, 172, 26, 186, 50, 210, 27, 187)(14, 174, 30, 190, 57, 217, 31, 191)(15, 175, 32, 192, 60, 220, 33, 193)(18, 178, 35, 195, 63, 223, 36, 196)(19, 179, 37, 197, 66, 226, 38, 198)(21, 181, 41, 201, 73, 233, 42, 202)(22, 182, 43, 203, 76, 236, 44, 204)(28, 188, 51, 211, 85, 245, 52, 212)(29, 189, 53, 213, 88, 248, 54, 214)(39, 199, 67, 227, 103, 263, 68, 228)(40, 200, 69, 229, 106, 266, 70, 230)(45, 205, 74, 234, 111, 271, 77, 237)(46, 206, 78, 238, 112, 272, 75, 235)(48, 208, 65, 225, 100, 260, 81, 241)(49, 209, 82, 242, 99, 259, 64, 224)(55, 215, 89, 249, 108, 268, 72, 232)(56, 216, 71, 231, 107, 267, 90, 250)(58, 218, 93, 253, 95, 255, 61, 221)(59, 219, 62, 222, 96, 256, 94, 254)(79, 239, 115, 275, 91, 251, 116, 276)(80, 240, 117, 277, 92, 252, 118, 278)(83, 243, 119, 279, 141, 301, 121, 281)(84, 244, 122, 282, 142, 302, 120, 280)(86, 246, 114, 274, 138, 298, 123, 283)(87, 247, 124, 284, 137, 297, 113, 273)(97, 257, 127, 287, 109, 269, 128, 288)(98, 258, 129, 289, 110, 270, 130, 290)(101, 261, 131, 291, 147, 307, 133, 293)(102, 262, 134, 294, 148, 308, 132, 292)(104, 264, 126, 286, 144, 304, 135, 295)(105, 265, 136, 296, 143, 303, 125, 285)(139, 299, 149, 309, 157, 317, 151, 311)(140, 300, 152, 312, 158, 318, 150, 310)(145, 305, 153, 313, 159, 319, 155, 315)(146, 306, 156, 316, 160, 320, 154, 314)(321, 322)(323, 326)(324, 331)(325, 334)(327, 338)(328, 341)(329, 342)(330, 339)(332, 337)(333, 348)(335, 336)(340, 359)(343, 360)(344, 365)(345, 368)(346, 369)(347, 366)(349, 354)(350, 375)(351, 378)(352, 379)(353, 376)(355, 381)(356, 384)(357, 385)(358, 382)(361, 391)(362, 394)(363, 395)(364, 392)(367, 399)(370, 400)(371, 403)(372, 406)(373, 407)(374, 404)(377, 411)(380, 412)(383, 417)(386, 418)(387, 421)(388, 424)(389, 425)(390, 422)(393, 429)(396, 430)(397, 433)(398, 434)(401, 439)(402, 440)(405, 423)(408, 426)(409, 443)(410, 444)(413, 442)(414, 441)(415, 445)(416, 446)(419, 451)(420, 452)(427, 455)(428, 456)(431, 454)(432, 453)(435, 459)(436, 449)(437, 448)(438, 460)(447, 465)(450, 466)(457, 469)(458, 470)(461, 472)(462, 471)(463, 473)(464, 474)(467, 476)(468, 475)(477, 480)(478, 479)(481, 483)(482, 486)(484, 492)(485, 495)(487, 499)(488, 502)(489, 501)(490, 498)(491, 497)(493, 509)(494, 496)(500, 520)(503, 519)(504, 526)(505, 529)(506, 528)(507, 525)(508, 514)(510, 536)(511, 539)(512, 538)(513, 535)(515, 542)(516, 545)(517, 544)(518, 541)(521, 552)(522, 555)(523, 554)(524, 551)(527, 560)(530, 559)(531, 564)(532, 567)(533, 566)(534, 563)(537, 572)(540, 571)(543, 578)(546, 577)(547, 582)(548, 585)(549, 584)(550, 581)(553, 590)(556, 589)(557, 594)(558, 593)(561, 600)(562, 599)(565, 586)(568, 583)(569, 604)(570, 603)(573, 601)(574, 602)(575, 606)(576, 605)(579, 612)(580, 611)(587, 616)(588, 615)(591, 613)(592, 614)(595, 620)(596, 608)(597, 609)(598, 619)(607, 626)(610, 625)(617, 630)(618, 629)(621, 631)(622, 632)(623, 634)(624, 633)(627, 635)(628, 636)(637, 639)(638, 640)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2867
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.2867 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^2, (Y3 * Y1)^5, (Y3 * Y2)^5, (Y1 * Y3 * Y1 * Y2 * Y3 * Y2)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484)(2, 162, 322, 482, 6, 166, 326, 486)(3, 163, 323, 483, 7, 167, 327, 487)(5, 165, 325, 485, 10, 170, 330, 490)(8, 168, 328, 488, 16, 176, 336, 496)(9, 169, 329, 489, 17, 177, 337, 497)(11, 171, 331, 491, 21, 181, 341, 501)(12, 172, 332, 492, 22, 182, 342, 502)(13, 173, 333, 493, 24, 184, 344, 504)(14, 174, 334, 494, 25, 185, 345, 505)(15, 175, 335, 495, 26, 186, 346, 506)(18, 178, 338, 498, 32, 192, 352, 512)(19, 179, 339, 499, 33, 193, 353, 513)(20, 180, 340, 500, 34, 194, 354, 514)(23, 183, 343, 503, 39, 199, 359, 519)(27, 187, 347, 507, 35, 195, 355, 515)(28, 188, 348, 508, 47, 207, 367, 527)(29, 189, 349, 509, 49, 209, 369, 529)(30, 190, 350, 510, 43, 203, 363, 523)(31, 191, 351, 511, 50, 210, 370, 530)(36, 196, 356, 516, 58, 218, 378, 538)(37, 197, 357, 517, 60, 220, 380, 540)(38, 198, 358, 518, 54, 214, 374, 534)(40, 200, 360, 520, 51, 211, 371, 531)(41, 201, 361, 521, 62, 222, 382, 542)(42, 202, 362, 522, 64, 224, 384, 544)(44, 204, 364, 524, 65, 225, 385, 545)(45, 205, 365, 525, 66, 226, 386, 546)(46, 206, 366, 526, 67, 227, 387, 547)(48, 208, 368, 528, 70, 230, 390, 550)(52, 212, 372, 532, 74, 234, 394, 554)(53, 213, 373, 533, 76, 236, 396, 556)(55, 215, 375, 535, 77, 237, 397, 557)(56, 216, 376, 536, 78, 238, 398, 558)(57, 217, 377, 537, 79, 239, 399, 559)(59, 219, 379, 539, 82, 242, 402, 562)(61, 221, 381, 541, 85, 245, 405, 565)(63, 223, 383, 543, 88, 248, 408, 568)(68, 228, 388, 548, 98, 258, 418, 578)(69, 229, 389, 549, 94, 254, 414, 574)(71, 231, 391, 551, 91, 251, 411, 571)(72, 232, 392, 552, 100, 260, 420, 580)(73, 233, 393, 553, 101, 261, 421, 581)(75, 235, 395, 555, 104, 264, 424, 584)(80, 240, 400, 560, 114, 274, 434, 594)(81, 241, 401, 561, 110, 270, 430, 590)(83, 243, 403, 563, 107, 267, 427, 587)(84, 244, 404, 564, 116, 276, 436, 596)(86, 246, 406, 566, 120, 280, 440, 600)(87, 247, 407, 567, 108, 268, 428, 588)(89, 249, 409, 569, 109, 269, 429, 589)(90, 250, 410, 570, 122, 282, 442, 602)(92, 252, 412, 572, 103, 263, 423, 583)(93, 253, 413, 573, 105, 265, 425, 585)(95, 255, 415, 575, 125, 285, 445, 605)(96, 256, 416, 576, 126, 286, 446, 606)(97, 257, 417, 577, 113, 273, 433, 593)(99, 259, 419, 579, 121, 281, 441, 601)(102, 262, 422, 582, 134, 294, 454, 614)(106, 266, 426, 586, 136, 296, 456, 616)(111, 271, 431, 591, 139, 299, 459, 619)(112, 272, 432, 592, 140, 300, 460, 620)(115, 275, 435, 595, 135, 295, 455, 615)(117, 277, 437, 597, 145, 305, 465, 625)(118, 278, 438, 598, 146, 306, 466, 626)(119, 279, 439, 599, 133, 293, 453, 613)(123, 283, 443, 603, 147, 307, 467, 627)(124, 284, 444, 604, 148, 308, 468, 628)(127, 287, 447, 607, 149, 309, 469, 629)(128, 288, 448, 608, 151, 311, 471, 631)(129, 289, 449, 609, 152, 312, 472, 632)(130, 290, 450, 610, 150, 310, 470, 630)(131, 291, 451, 611, 153, 313, 473, 633)(132, 292, 452, 612, 154, 314, 474, 634)(137, 297, 457, 617, 155, 315, 475, 635)(138, 298, 458, 618, 156, 316, 476, 636)(141, 301, 461, 621, 157, 317, 477, 637)(142, 302, 462, 622, 159, 319, 479, 639)(143, 303, 463, 623, 160, 320, 480, 640)(144, 304, 464, 624, 158, 318, 478, 638)
	L = (1, 162)(2, 161)(3, 165)(4, 168)(5, 163)(6, 171)(7, 173)(8, 164)(9, 175)(10, 178)(11, 166)(12, 180)(13, 167)(14, 183)(15, 169)(16, 187)(17, 189)(18, 170)(19, 191)(20, 172)(21, 195)(22, 197)(23, 174)(24, 200)(25, 202)(26, 204)(27, 176)(28, 206)(29, 177)(30, 208)(31, 179)(32, 211)(33, 213)(34, 215)(35, 181)(36, 217)(37, 182)(38, 219)(39, 216)(40, 184)(41, 221)(42, 185)(43, 223)(44, 186)(45, 210)(46, 188)(47, 228)(48, 190)(49, 231)(50, 205)(51, 192)(52, 233)(53, 193)(54, 235)(55, 194)(56, 199)(57, 196)(58, 240)(59, 198)(60, 243)(61, 201)(62, 246)(63, 203)(64, 249)(65, 251)(66, 253)(67, 255)(68, 207)(69, 257)(70, 256)(71, 209)(72, 259)(73, 212)(74, 262)(75, 214)(76, 265)(77, 267)(78, 269)(79, 271)(80, 218)(81, 273)(82, 272)(83, 220)(84, 275)(85, 277)(86, 222)(87, 279)(88, 278)(89, 224)(90, 281)(91, 225)(92, 283)(93, 226)(94, 284)(95, 227)(96, 230)(97, 229)(98, 287)(99, 232)(100, 289)(101, 291)(102, 234)(103, 293)(104, 292)(105, 236)(106, 295)(107, 237)(108, 297)(109, 238)(110, 298)(111, 239)(112, 242)(113, 241)(114, 301)(115, 244)(116, 303)(117, 245)(118, 248)(119, 247)(120, 304)(121, 250)(122, 302)(123, 252)(124, 254)(125, 309)(126, 306)(127, 258)(128, 296)(129, 260)(130, 294)(131, 261)(132, 264)(133, 263)(134, 290)(135, 266)(136, 288)(137, 268)(138, 270)(139, 317)(140, 314)(141, 274)(142, 282)(143, 276)(144, 280)(145, 318)(146, 286)(147, 315)(148, 316)(149, 285)(150, 313)(151, 320)(152, 319)(153, 310)(154, 300)(155, 307)(156, 308)(157, 299)(158, 305)(159, 312)(160, 311)(321, 483)(322, 485)(323, 481)(324, 489)(325, 482)(326, 492)(327, 494)(328, 495)(329, 484)(330, 499)(331, 500)(332, 486)(333, 503)(334, 487)(335, 488)(336, 508)(337, 510)(338, 511)(339, 490)(340, 491)(341, 516)(342, 518)(343, 493)(344, 521)(345, 523)(346, 525)(347, 526)(348, 496)(349, 528)(350, 497)(351, 498)(352, 532)(353, 534)(354, 536)(355, 537)(356, 501)(357, 539)(358, 502)(359, 535)(360, 541)(361, 504)(362, 543)(363, 505)(364, 530)(365, 506)(366, 507)(367, 549)(368, 509)(369, 552)(370, 524)(371, 553)(372, 512)(373, 555)(374, 513)(375, 519)(376, 514)(377, 515)(378, 561)(379, 517)(380, 564)(381, 520)(382, 567)(383, 522)(384, 570)(385, 572)(386, 574)(387, 576)(388, 577)(389, 527)(390, 575)(391, 579)(392, 529)(393, 531)(394, 583)(395, 533)(396, 586)(397, 588)(398, 590)(399, 592)(400, 593)(401, 538)(402, 591)(403, 595)(404, 540)(405, 598)(406, 599)(407, 542)(408, 597)(409, 601)(410, 544)(411, 603)(412, 545)(413, 604)(414, 546)(415, 550)(416, 547)(417, 548)(418, 608)(419, 551)(420, 610)(421, 612)(422, 613)(423, 554)(424, 611)(425, 615)(426, 556)(427, 617)(428, 557)(429, 618)(430, 558)(431, 562)(432, 559)(433, 560)(434, 622)(435, 563)(436, 624)(437, 568)(438, 565)(439, 566)(440, 623)(441, 569)(442, 621)(443, 571)(444, 573)(445, 630)(446, 620)(447, 616)(448, 578)(449, 614)(450, 580)(451, 584)(452, 581)(453, 582)(454, 609)(455, 585)(456, 607)(457, 587)(458, 589)(459, 638)(460, 606)(461, 602)(462, 594)(463, 600)(464, 596)(465, 637)(466, 634)(467, 636)(468, 635)(469, 633)(470, 605)(471, 639)(472, 640)(473, 629)(474, 626)(475, 628)(476, 627)(477, 625)(478, 619)(479, 631)(480, 632)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2866
Transitivity :: VT+
Graph::
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.2868 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y1 * Y3)^5, (Y3^-1 * Y1 * Y3^-1)^4, Y3^2 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3 * Y1 * Y3^-2 * Y1 ]
Map::
	R = (1, 161, 321, 481, 4, 164, 324, 484, 13, 173, 333, 493, 5, 165, 325, 485)(2, 162, 322, 482, 7, 167, 327, 487, 20, 180, 340, 500, 8, 168, 328, 488)(3, 163, 323, 483, 9, 169, 329, 489, 23, 183, 343, 503, 10, 170, 330, 490)(6, 166, 326, 486, 16, 176, 336, 496, 34, 194, 354, 514, 17, 177, 337, 497)(11, 171, 331, 491, 24, 184, 344, 504, 47, 207, 367, 527, 25, 185, 345, 505)(12, 172, 332, 492, 26, 186, 346, 506, 50, 210, 370, 530, 27, 187, 347, 507)(14, 174, 334, 494, 30, 190, 350, 510, 57, 217, 377, 537, 31, 191, 351, 511)(15, 175, 335, 495, 32, 192, 352, 512, 60, 220, 380, 540, 33, 193, 353, 513)(18, 178, 338, 498, 35, 195, 355, 515, 63, 223, 383, 543, 36, 196, 356, 516)(19, 179, 339, 499, 37, 197, 357, 517, 66, 226, 386, 546, 38, 198, 358, 518)(21, 181, 341, 501, 41, 201, 361, 521, 73, 233, 393, 553, 42, 202, 362, 522)(22, 182, 342, 502, 43, 203, 363, 523, 76, 236, 396, 556, 44, 204, 364, 524)(28, 188, 348, 508, 51, 211, 371, 531, 85, 245, 405, 565, 52, 212, 372, 532)(29, 189, 349, 509, 53, 213, 373, 533, 88, 248, 408, 568, 54, 214, 374, 534)(39, 199, 359, 519, 67, 227, 387, 547, 103, 263, 423, 583, 68, 228, 388, 548)(40, 200, 360, 520, 69, 229, 389, 549, 106, 266, 426, 586, 70, 230, 390, 550)(45, 205, 365, 525, 74, 234, 394, 554, 111, 271, 431, 591, 77, 237, 397, 557)(46, 206, 366, 526, 78, 238, 398, 558, 112, 272, 432, 592, 75, 235, 395, 555)(48, 208, 368, 528, 65, 225, 385, 545, 100, 260, 420, 580, 81, 241, 401, 561)(49, 209, 369, 529, 82, 242, 402, 562, 99, 259, 419, 579, 64, 224, 384, 544)(55, 215, 375, 535, 89, 249, 409, 569, 108, 268, 428, 588, 72, 232, 392, 552)(56, 216, 376, 536, 71, 231, 391, 551, 107, 267, 427, 587, 90, 250, 410, 570)(58, 218, 378, 538, 93, 253, 413, 573, 95, 255, 415, 575, 61, 221, 381, 541)(59, 219, 379, 539, 62, 222, 382, 542, 96, 256, 416, 576, 94, 254, 414, 574)(79, 239, 399, 559, 115, 275, 435, 595, 91, 251, 411, 571, 116, 276, 436, 596)(80, 240, 400, 560, 117, 277, 437, 597, 92, 252, 412, 572, 118, 278, 438, 598)(83, 243, 403, 563, 119, 279, 439, 599, 141, 301, 461, 621, 121, 281, 441, 601)(84, 244, 404, 564, 122, 282, 442, 602, 142, 302, 462, 622, 120, 280, 440, 600)(86, 246, 406, 566, 114, 274, 434, 594, 138, 298, 458, 618, 123, 283, 443, 603)(87, 247, 407, 567, 124, 284, 444, 604, 137, 297, 457, 617, 113, 273, 433, 593)(97, 257, 417, 577, 127, 287, 447, 607, 109, 269, 429, 589, 128, 288, 448, 608)(98, 258, 418, 578, 129, 289, 449, 609, 110, 270, 430, 590, 130, 290, 450, 610)(101, 261, 421, 581, 131, 291, 451, 611, 147, 307, 467, 627, 133, 293, 453, 613)(102, 262, 422, 582, 134, 294, 454, 614, 148, 308, 468, 628, 132, 292, 452, 612)(104, 264, 424, 584, 126, 286, 446, 606, 144, 304, 464, 624, 135, 295, 455, 615)(105, 265, 425, 585, 136, 296, 456, 616, 143, 303, 463, 623, 125, 285, 445, 605)(139, 299, 459, 619, 149, 309, 469, 629, 157, 317, 477, 637, 151, 311, 471, 631)(140, 300, 460, 620, 152, 312, 472, 632, 158, 318, 478, 638, 150, 310, 470, 630)(145, 305, 465, 625, 153, 313, 473, 633, 159, 319, 479, 639, 155, 315, 475, 635)(146, 306, 466, 626, 156, 316, 476, 636, 160, 320, 480, 640, 154, 314, 474, 634)
	L = (1, 162)(2, 161)(3, 166)(4, 171)(5, 174)(6, 163)(7, 178)(8, 181)(9, 182)(10, 179)(11, 164)(12, 177)(13, 188)(14, 165)(15, 176)(16, 175)(17, 172)(18, 167)(19, 170)(20, 199)(21, 168)(22, 169)(23, 200)(24, 205)(25, 208)(26, 209)(27, 206)(28, 173)(29, 194)(30, 215)(31, 218)(32, 219)(33, 216)(34, 189)(35, 221)(36, 224)(37, 225)(38, 222)(39, 180)(40, 183)(41, 231)(42, 234)(43, 235)(44, 232)(45, 184)(46, 187)(47, 239)(48, 185)(49, 186)(50, 240)(51, 243)(52, 246)(53, 247)(54, 244)(55, 190)(56, 193)(57, 251)(58, 191)(59, 192)(60, 252)(61, 195)(62, 198)(63, 257)(64, 196)(65, 197)(66, 258)(67, 261)(68, 264)(69, 265)(70, 262)(71, 201)(72, 204)(73, 269)(74, 202)(75, 203)(76, 270)(77, 273)(78, 274)(79, 207)(80, 210)(81, 279)(82, 280)(83, 211)(84, 214)(85, 263)(86, 212)(87, 213)(88, 266)(89, 283)(90, 284)(91, 217)(92, 220)(93, 282)(94, 281)(95, 285)(96, 286)(97, 223)(98, 226)(99, 291)(100, 292)(101, 227)(102, 230)(103, 245)(104, 228)(105, 229)(106, 248)(107, 295)(108, 296)(109, 233)(110, 236)(111, 294)(112, 293)(113, 237)(114, 238)(115, 299)(116, 289)(117, 288)(118, 300)(119, 241)(120, 242)(121, 254)(122, 253)(123, 249)(124, 250)(125, 255)(126, 256)(127, 305)(128, 277)(129, 276)(130, 306)(131, 259)(132, 260)(133, 272)(134, 271)(135, 267)(136, 268)(137, 309)(138, 310)(139, 275)(140, 278)(141, 312)(142, 311)(143, 313)(144, 314)(145, 287)(146, 290)(147, 316)(148, 315)(149, 297)(150, 298)(151, 302)(152, 301)(153, 303)(154, 304)(155, 308)(156, 307)(157, 320)(158, 319)(159, 318)(160, 317)(321, 483)(322, 486)(323, 481)(324, 492)(325, 495)(326, 482)(327, 499)(328, 502)(329, 501)(330, 498)(331, 497)(332, 484)(333, 509)(334, 496)(335, 485)(336, 494)(337, 491)(338, 490)(339, 487)(340, 520)(341, 489)(342, 488)(343, 519)(344, 526)(345, 529)(346, 528)(347, 525)(348, 514)(349, 493)(350, 536)(351, 539)(352, 538)(353, 535)(354, 508)(355, 542)(356, 545)(357, 544)(358, 541)(359, 503)(360, 500)(361, 552)(362, 555)(363, 554)(364, 551)(365, 507)(366, 504)(367, 560)(368, 506)(369, 505)(370, 559)(371, 564)(372, 567)(373, 566)(374, 563)(375, 513)(376, 510)(377, 572)(378, 512)(379, 511)(380, 571)(381, 518)(382, 515)(383, 578)(384, 517)(385, 516)(386, 577)(387, 582)(388, 585)(389, 584)(390, 581)(391, 524)(392, 521)(393, 590)(394, 523)(395, 522)(396, 589)(397, 594)(398, 593)(399, 530)(400, 527)(401, 600)(402, 599)(403, 534)(404, 531)(405, 586)(406, 533)(407, 532)(408, 583)(409, 604)(410, 603)(411, 540)(412, 537)(413, 601)(414, 602)(415, 606)(416, 605)(417, 546)(418, 543)(419, 612)(420, 611)(421, 550)(422, 547)(423, 568)(424, 549)(425, 548)(426, 565)(427, 616)(428, 615)(429, 556)(430, 553)(431, 613)(432, 614)(433, 558)(434, 557)(435, 620)(436, 608)(437, 609)(438, 619)(439, 562)(440, 561)(441, 573)(442, 574)(443, 570)(444, 569)(445, 576)(446, 575)(447, 626)(448, 596)(449, 597)(450, 625)(451, 580)(452, 579)(453, 591)(454, 592)(455, 588)(456, 587)(457, 630)(458, 629)(459, 598)(460, 595)(461, 631)(462, 632)(463, 634)(464, 633)(465, 610)(466, 607)(467, 635)(468, 636)(469, 618)(470, 617)(471, 621)(472, 622)(473, 624)(474, 623)(475, 627)(476, 628)(477, 639)(478, 640)(479, 637)(480, 638)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.2865
Transitivity :: VT+
Graph::
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.2869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1)^4, (Y1 * Y2)^5, (Y2 * Y1 * Y3)^5, (Y3 * Y1 * Y2 * Y1)^4, Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 10, 170)(6, 166, 12, 172)(8, 168, 15, 175)(11, 171, 20, 180)(13, 173, 23, 183)(14, 174, 25, 185)(16, 176, 28, 188)(17, 177, 22, 182)(18, 178, 30, 190)(19, 179, 32, 192)(21, 181, 35, 195)(24, 184, 38, 198)(26, 186, 41, 201)(27, 187, 40, 200)(29, 189, 45, 205)(31, 191, 47, 207)(33, 193, 50, 210)(34, 194, 49, 209)(36, 196, 54, 214)(37, 197, 55, 215)(39, 199, 58, 218)(42, 202, 62, 222)(43, 203, 60, 220)(44, 204, 64, 224)(46, 206, 67, 227)(48, 208, 70, 230)(51, 211, 74, 234)(52, 212, 72, 232)(53, 213, 76, 236)(56, 216, 81, 241)(57, 217, 80, 240)(59, 219, 85, 245)(61, 221, 87, 247)(63, 223, 90, 250)(65, 225, 93, 253)(66, 226, 92, 252)(68, 228, 97, 257)(69, 229, 96, 256)(71, 231, 101, 261)(73, 233, 103, 263)(75, 235, 104, 264)(77, 237, 107, 267)(78, 238, 106, 266)(79, 239, 109, 269)(82, 242, 94, 254)(83, 243, 111, 271)(84, 244, 105, 265)(86, 246, 116, 276)(88, 248, 119, 279)(89, 249, 118, 278)(91, 251, 100, 260)(95, 255, 124, 284)(98, 258, 108, 268)(99, 259, 126, 286)(102, 262, 131, 291)(110, 270, 137, 297)(112, 272, 123, 283)(113, 273, 139, 299)(114, 274, 140, 300)(115, 275, 133, 293)(117, 277, 136, 296)(120, 280, 145, 305)(121, 281, 143, 303)(122, 282, 130, 290)(125, 285, 141, 301)(127, 287, 134, 294)(128, 288, 149, 309)(129, 289, 144, 304)(132, 292, 147, 307)(135, 295, 146, 306)(138, 298, 152, 312)(142, 302, 153, 313)(148, 308, 155, 315)(150, 310, 156, 316)(151, 311, 157, 317)(154, 314, 159, 319)(158, 318, 160, 320)(321, 481, 323, 483)(322, 482, 325, 485)(324, 484, 328, 488)(326, 486, 331, 491)(327, 487, 333, 493)(329, 489, 336, 496)(330, 490, 338, 498)(332, 492, 341, 501)(334, 494, 344, 504)(335, 495, 346, 506)(337, 497, 349, 509)(339, 499, 351, 511)(340, 500, 353, 513)(342, 502, 356, 516)(343, 503, 350, 510)(345, 505, 359, 519)(347, 507, 362, 522)(348, 508, 363, 523)(352, 512, 368, 528)(354, 514, 371, 531)(355, 515, 372, 532)(357, 517, 366, 526)(358, 518, 376, 536)(360, 520, 379, 539)(361, 521, 380, 540)(364, 524, 383, 543)(365, 525, 385, 545)(367, 527, 388, 548)(369, 529, 391, 551)(370, 530, 392, 552)(373, 533, 395, 555)(374, 534, 397, 557)(375, 535, 399, 559)(377, 537, 402, 562)(378, 538, 403, 563)(381, 541, 406, 566)(382, 542, 408, 568)(384, 544, 411, 571)(386, 546, 414, 574)(387, 547, 415, 575)(389, 549, 418, 578)(390, 550, 419, 579)(393, 553, 422, 582)(394, 554, 409, 569)(396, 556, 425, 585)(398, 558, 428, 588)(400, 560, 430, 590)(401, 561, 431, 591)(404, 564, 433, 593)(405, 565, 434, 594)(407, 567, 437, 597)(410, 570, 440, 600)(412, 572, 442, 602)(413, 573, 427, 587)(416, 576, 445, 605)(417, 577, 446, 606)(420, 580, 448, 608)(421, 581, 449, 609)(423, 583, 452, 612)(424, 584, 441, 601)(426, 586, 453, 613)(429, 589, 455, 615)(432, 592, 458, 618)(435, 595, 461, 621)(436, 596, 462, 622)(438, 598, 464, 624)(439, 599, 460, 620)(443, 603, 454, 614)(444, 604, 466, 626)(447, 607, 468, 628)(450, 610, 457, 617)(451, 611, 470, 630)(456, 616, 471, 631)(459, 619, 463, 623)(465, 625, 469, 629)(467, 627, 474, 634)(472, 632, 478, 638)(473, 633, 477, 637)(475, 635, 480, 640)(476, 636, 479, 639)
	L = (1, 324)(2, 326)(3, 328)(4, 321)(5, 331)(6, 322)(7, 334)(8, 323)(9, 337)(10, 339)(11, 325)(12, 342)(13, 344)(14, 327)(15, 347)(16, 349)(17, 329)(18, 351)(19, 330)(20, 354)(21, 356)(22, 332)(23, 357)(24, 333)(25, 360)(26, 362)(27, 335)(28, 364)(29, 336)(30, 366)(31, 338)(32, 369)(33, 371)(34, 340)(35, 373)(36, 341)(37, 343)(38, 377)(39, 379)(40, 345)(41, 381)(42, 346)(43, 383)(44, 348)(45, 386)(46, 350)(47, 389)(48, 391)(49, 352)(50, 393)(51, 353)(52, 395)(53, 355)(54, 398)(55, 400)(56, 402)(57, 358)(58, 404)(59, 359)(60, 406)(61, 361)(62, 409)(63, 363)(64, 412)(65, 414)(66, 365)(67, 416)(68, 418)(69, 367)(70, 420)(71, 368)(72, 422)(73, 370)(74, 408)(75, 372)(76, 426)(77, 428)(78, 374)(79, 430)(80, 375)(81, 432)(82, 376)(83, 433)(84, 378)(85, 435)(86, 380)(87, 438)(88, 394)(89, 382)(90, 441)(91, 442)(92, 384)(93, 443)(94, 385)(95, 445)(96, 387)(97, 447)(98, 388)(99, 448)(100, 390)(101, 450)(102, 392)(103, 439)(104, 440)(105, 453)(106, 396)(107, 454)(108, 397)(109, 456)(110, 399)(111, 458)(112, 401)(113, 403)(114, 461)(115, 405)(116, 463)(117, 464)(118, 407)(119, 423)(120, 424)(121, 410)(122, 411)(123, 413)(124, 467)(125, 415)(126, 468)(127, 417)(128, 419)(129, 457)(130, 421)(131, 465)(132, 460)(133, 425)(134, 427)(135, 471)(136, 429)(137, 449)(138, 431)(139, 462)(140, 452)(141, 434)(142, 459)(143, 436)(144, 437)(145, 451)(146, 474)(147, 444)(148, 446)(149, 470)(150, 469)(151, 455)(152, 473)(153, 472)(154, 466)(155, 476)(156, 475)(157, 478)(158, 477)(159, 480)(160, 479)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2870
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.2870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C2 (small group id <160, 234>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y1^-2, (Y2 * Y1)^5, Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y1 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 6, 166, 5, 165)(3, 163, 9, 169, 19, 179, 11, 171)(4, 164, 12, 172, 15, 175, 8, 168)(7, 167, 16, 176, 30, 190, 18, 178)(10, 170, 22, 182, 36, 196, 21, 181)(13, 173, 25, 185, 45, 205, 26, 186)(14, 174, 27, 187, 48, 208, 29, 189)(17, 177, 33, 193, 54, 214, 32, 192)(20, 180, 37, 197, 64, 224, 39, 199)(23, 183, 41, 201, 71, 231, 42, 202)(24, 184, 43, 203, 73, 233, 44, 204)(28, 188, 51, 211, 81, 241, 50, 210)(31, 191, 55, 215, 91, 251, 57, 217)(34, 194, 59, 219, 96, 256, 60, 220)(35, 195, 61, 221, 80, 240, 63, 223)(38, 198, 67, 227, 102, 262, 66, 226)(40, 200, 69, 229, 106, 266, 70, 230)(46, 206, 77, 237, 112, 272, 78, 238)(47, 207, 79, 239, 104, 264, 65, 225)(49, 209, 82, 242, 115, 275, 84, 244)(52, 212, 86, 246, 118, 278, 87, 247)(53, 213, 88, 248, 76, 236, 90, 250)(56, 216, 93, 253, 124, 284, 92, 252)(58, 218, 95, 255, 105, 265, 68, 228)(62, 222, 99, 259, 114, 274, 98, 258)(72, 232, 108, 268, 111, 271, 75, 235)(74, 234, 103, 263, 136, 296, 110, 270)(83, 243, 113, 273, 140, 300, 116, 276)(85, 245, 117, 277, 125, 285, 94, 254)(89, 249, 121, 281, 109, 269, 120, 280)(97, 257, 127, 287, 147, 307, 129, 289)(100, 260, 131, 291, 148, 308, 132, 292)(101, 261, 133, 293, 107, 267, 135, 295)(119, 279, 143, 303, 153, 313, 145, 305)(122, 282, 138, 298, 150, 310, 134, 294)(123, 283, 146, 306, 126, 286, 128, 288)(130, 290, 139, 299, 151, 311, 137, 297)(141, 301, 152, 312, 142, 302, 144, 304)(149, 309, 157, 317, 159, 319, 154, 314)(155, 315, 160, 320, 156, 316, 158, 318)(321, 481, 323, 483)(322, 482, 327, 487)(324, 484, 330, 490)(325, 485, 333, 493)(326, 486, 334, 494)(328, 488, 337, 497)(329, 489, 340, 500)(331, 491, 343, 503)(332, 492, 344, 504)(335, 495, 348, 508)(336, 496, 351, 511)(338, 498, 354, 514)(339, 499, 355, 515)(341, 501, 358, 518)(342, 502, 360, 520)(345, 505, 366, 526)(346, 506, 367, 527)(347, 507, 369, 529)(349, 509, 372, 532)(350, 510, 373, 533)(352, 512, 376, 536)(353, 513, 378, 538)(356, 516, 382, 542)(357, 517, 385, 545)(359, 519, 388, 548)(361, 521, 392, 552)(362, 522, 375, 535)(363, 523, 394, 554)(364, 524, 395, 555)(365, 525, 396, 556)(368, 528, 400, 560)(370, 530, 403, 563)(371, 531, 405, 565)(374, 534, 409, 569)(377, 537, 414, 574)(379, 539, 387, 547)(380, 540, 402, 562)(381, 541, 417, 577)(383, 543, 420, 580)(384, 544, 421, 581)(386, 546, 423, 583)(389, 549, 412, 572)(390, 550, 398, 558)(391, 551, 427, 587)(393, 553, 429, 589)(397, 557, 407, 567)(399, 559, 433, 593)(401, 561, 434, 594)(404, 564, 430, 590)(406, 566, 413, 573)(408, 568, 439, 599)(410, 570, 442, 602)(411, 571, 443, 603)(415, 575, 436, 596)(416, 576, 446, 606)(418, 578, 448, 608)(419, 579, 450, 610)(422, 582, 454, 614)(424, 584, 457, 617)(425, 585, 447, 607)(426, 586, 458, 618)(428, 588, 452, 612)(431, 591, 437, 597)(432, 592, 459, 619)(435, 595, 461, 621)(438, 598, 462, 622)(440, 600, 464, 624)(441, 601, 455, 615)(444, 604, 449, 609)(445, 605, 463, 623)(451, 611, 456, 616)(453, 613, 469, 629)(460, 620, 465, 625)(466, 626, 474, 634)(467, 627, 475, 635)(468, 628, 476, 636)(470, 630, 478, 638)(471, 631, 477, 637)(472, 632, 479, 639)(473, 633, 480, 640)
	L = (1, 324)(2, 328)(3, 330)(4, 321)(5, 332)(6, 335)(7, 337)(8, 322)(9, 341)(10, 323)(11, 342)(12, 325)(13, 344)(14, 348)(15, 326)(16, 352)(17, 327)(18, 353)(19, 356)(20, 358)(21, 329)(22, 331)(23, 360)(24, 333)(25, 364)(26, 363)(27, 370)(28, 334)(29, 371)(30, 374)(31, 376)(32, 336)(33, 338)(34, 378)(35, 382)(36, 339)(37, 386)(38, 340)(39, 387)(40, 343)(41, 390)(42, 389)(43, 346)(44, 345)(45, 393)(46, 395)(47, 394)(48, 401)(49, 403)(50, 347)(51, 349)(52, 405)(53, 409)(54, 350)(55, 412)(56, 351)(57, 413)(58, 354)(59, 388)(60, 415)(61, 418)(62, 355)(63, 419)(64, 422)(65, 423)(66, 357)(67, 359)(68, 379)(69, 362)(70, 361)(71, 426)(72, 398)(73, 365)(74, 367)(75, 366)(76, 429)(77, 431)(78, 392)(79, 430)(80, 434)(81, 368)(82, 436)(83, 369)(84, 433)(85, 372)(86, 414)(87, 437)(88, 440)(89, 373)(90, 441)(91, 444)(92, 375)(93, 377)(94, 406)(95, 380)(96, 425)(97, 448)(98, 381)(99, 383)(100, 450)(101, 454)(102, 384)(103, 385)(104, 456)(105, 416)(106, 391)(107, 458)(108, 432)(109, 396)(110, 399)(111, 397)(112, 428)(113, 404)(114, 400)(115, 460)(116, 402)(117, 407)(118, 445)(119, 464)(120, 408)(121, 410)(122, 455)(123, 449)(124, 411)(125, 438)(126, 447)(127, 446)(128, 417)(129, 443)(130, 420)(131, 457)(132, 459)(133, 470)(134, 421)(135, 442)(136, 424)(137, 451)(138, 427)(139, 452)(140, 435)(141, 465)(142, 463)(143, 462)(144, 439)(145, 461)(146, 467)(147, 466)(148, 471)(149, 478)(150, 453)(151, 468)(152, 473)(153, 472)(154, 475)(155, 474)(156, 477)(157, 476)(158, 469)(159, 480)(160, 479)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2869
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.2871 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = (C20 x C2) : C4 (small group id <160, 81>)
Aut   = (C20 x C2) : C4 (small group id <160, 81>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1^-1 * X2^-2 * X1 * X2, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2 * X1^2 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^2 * X2^-1 * X1^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 33, 15)(7, 18, 39, 20)(8, 21, 44, 22)(10, 19, 35, 26)(12, 29, 53, 30)(13, 31, 56, 32)(16, 34, 57, 36)(17, 37, 62, 38)(24, 47, 73, 48)(25, 49, 76, 50)(27, 51, 65, 40)(28, 52, 66, 41)(42, 67, 85, 58)(43, 68, 86, 59)(45, 69, 97, 70)(46, 71, 102, 72)(54, 60, 87, 81)(55, 61, 88, 82)(63, 89, 123, 90)(64, 91, 128, 92)(74, 105, 135, 98)(75, 106, 136, 99)(77, 100, 121, 107)(78, 101, 122, 108)(79, 109, 137, 110)(80, 111, 140, 112)(83, 115, 141, 116)(84, 117, 144, 118)(93, 129, 147, 124)(94, 130, 148, 125)(95, 126, 103, 131)(96, 127, 104, 132)(113, 133, 149, 138)(114, 134, 150, 139)(119, 145, 153, 142)(120, 146, 154, 143)(151, 155, 159, 157)(152, 156, 160, 158)(161, 163, 170, 165)(162, 167, 179, 168)(164, 172, 186, 173)(166, 176, 195, 177)(169, 184, 174, 185)(171, 187, 175, 188)(178, 200, 181, 201)(180, 202, 182, 203)(183, 205, 193, 206)(189, 214, 191, 215)(190, 207, 192, 209)(194, 218, 197, 219)(196, 220, 198, 221)(199, 223, 204, 224)(208, 234, 210, 235)(211, 237, 212, 238)(213, 239, 216, 240)(217, 243, 222, 244)(225, 253, 226, 254)(227, 255, 228, 256)(229, 258, 231, 259)(230, 260, 232, 261)(233, 263, 236, 264)(241, 273, 242, 274)(245, 279, 246, 280)(247, 281, 248, 282)(249, 284, 251, 285)(250, 286, 252, 287)(257, 293, 262, 294)(265, 288, 266, 283)(267, 278, 268, 276)(269, 298, 271, 299)(270, 291, 272, 292)(275, 302, 277, 303)(289, 304, 290, 301)(295, 311, 296, 312)(297, 305, 300, 306)(307, 315, 308, 316)(309, 317, 310, 318)(313, 319, 314, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E21.2872
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2872 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = (C20 x C2) : C4 (small group id <160, 81>)
Aut   = (C20 x C2) : C4 (small group id <160, 81>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2 * X1^-1 * X2^-2 * X1 * X2, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2 * X1^2 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^2 * X2^-1 * X1^2 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 23, 183, 11, 171)(5, 165, 14, 174, 33, 193, 15, 175)(7, 167, 18, 178, 39, 199, 20, 180)(8, 168, 21, 181, 44, 204, 22, 182)(10, 170, 19, 179, 35, 195, 26, 186)(12, 172, 29, 189, 53, 213, 30, 190)(13, 173, 31, 191, 56, 216, 32, 192)(16, 176, 34, 194, 57, 217, 36, 196)(17, 177, 37, 197, 62, 222, 38, 198)(24, 184, 47, 207, 73, 233, 48, 208)(25, 185, 49, 209, 76, 236, 50, 210)(27, 187, 51, 211, 65, 225, 40, 200)(28, 188, 52, 212, 66, 226, 41, 201)(42, 202, 67, 227, 85, 245, 58, 218)(43, 203, 68, 228, 86, 246, 59, 219)(45, 205, 69, 229, 97, 257, 70, 230)(46, 206, 71, 231, 102, 262, 72, 232)(54, 214, 60, 220, 87, 247, 81, 241)(55, 215, 61, 221, 88, 248, 82, 242)(63, 223, 89, 249, 123, 283, 90, 250)(64, 224, 91, 251, 128, 288, 92, 252)(74, 234, 105, 265, 135, 295, 98, 258)(75, 235, 106, 266, 136, 296, 99, 259)(77, 237, 100, 260, 121, 281, 107, 267)(78, 238, 101, 261, 122, 282, 108, 268)(79, 239, 109, 269, 137, 297, 110, 270)(80, 240, 111, 271, 140, 300, 112, 272)(83, 243, 115, 275, 141, 301, 116, 276)(84, 244, 117, 277, 144, 304, 118, 278)(93, 253, 129, 289, 147, 307, 124, 284)(94, 254, 130, 290, 148, 308, 125, 285)(95, 255, 126, 286, 103, 263, 131, 291)(96, 256, 127, 287, 104, 264, 132, 292)(113, 273, 133, 293, 149, 309, 138, 298)(114, 274, 134, 294, 150, 310, 139, 299)(119, 279, 145, 305, 153, 313, 142, 302)(120, 280, 146, 306, 154, 314, 143, 303)(151, 311, 155, 315, 159, 319, 157, 317)(152, 312, 156, 316, 160, 320, 158, 318)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 176)(7, 179)(8, 162)(9, 184)(10, 165)(11, 187)(12, 186)(13, 164)(14, 185)(15, 188)(16, 195)(17, 166)(18, 200)(19, 168)(20, 202)(21, 201)(22, 203)(23, 205)(24, 174)(25, 169)(26, 173)(27, 175)(28, 171)(29, 214)(30, 207)(31, 215)(32, 209)(33, 206)(34, 218)(35, 177)(36, 220)(37, 219)(38, 221)(39, 223)(40, 181)(41, 178)(42, 182)(43, 180)(44, 224)(45, 193)(46, 183)(47, 192)(48, 234)(49, 190)(50, 235)(51, 237)(52, 238)(53, 239)(54, 191)(55, 189)(56, 240)(57, 243)(58, 197)(59, 194)(60, 198)(61, 196)(62, 244)(63, 204)(64, 199)(65, 253)(66, 254)(67, 255)(68, 256)(69, 258)(70, 260)(71, 259)(72, 261)(73, 263)(74, 210)(75, 208)(76, 264)(77, 212)(78, 211)(79, 216)(80, 213)(81, 273)(82, 274)(83, 222)(84, 217)(85, 279)(86, 280)(87, 281)(88, 282)(89, 284)(90, 286)(91, 285)(92, 287)(93, 226)(94, 225)(95, 228)(96, 227)(97, 293)(98, 231)(99, 229)(100, 232)(101, 230)(102, 294)(103, 236)(104, 233)(105, 288)(106, 283)(107, 278)(108, 276)(109, 298)(110, 291)(111, 299)(112, 292)(113, 242)(114, 241)(115, 302)(116, 267)(117, 303)(118, 268)(119, 246)(120, 245)(121, 248)(122, 247)(123, 265)(124, 251)(125, 249)(126, 252)(127, 250)(128, 266)(129, 304)(130, 301)(131, 272)(132, 270)(133, 262)(134, 257)(135, 311)(136, 312)(137, 305)(138, 271)(139, 269)(140, 306)(141, 289)(142, 277)(143, 275)(144, 290)(145, 300)(146, 297)(147, 315)(148, 316)(149, 317)(150, 318)(151, 296)(152, 295)(153, 319)(154, 320)(155, 308)(156, 307)(157, 310)(158, 309)(159, 314)(160, 313)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E21.2871
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2873 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 86>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 86>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2^-1 * X1 * X2^2 * X1^-1 * X2^-1, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 33, 15)(7, 18, 39, 20)(8, 21, 44, 22)(10, 19, 35, 26)(12, 29, 53, 30)(13, 31, 56, 32)(16, 34, 57, 36)(17, 37, 62, 38)(24, 47, 73, 48)(25, 49, 76, 50)(27, 51, 65, 40)(28, 52, 66, 41)(42, 67, 85, 58)(43, 68, 86, 59)(45, 69, 97, 70)(46, 71, 102, 72)(54, 60, 87, 81)(55, 61, 88, 82)(63, 89, 123, 90)(64, 91, 128, 92)(74, 105, 135, 98)(75, 106, 136, 99)(77, 100, 122, 107)(78, 101, 121, 108)(79, 109, 137, 110)(80, 111, 140, 112)(83, 115, 141, 116)(84, 117, 144, 118)(93, 129, 147, 124)(94, 130, 148, 125)(95, 126, 104, 131)(96, 127, 103, 132)(113, 134, 150, 138)(114, 133, 149, 139)(119, 145, 153, 142)(120, 146, 154, 143)(151, 156, 159, 157)(152, 155, 160, 158)(161, 163, 170, 165)(162, 167, 179, 168)(164, 172, 186, 173)(166, 176, 195, 177)(169, 184, 174, 185)(171, 187, 175, 188)(178, 200, 181, 201)(180, 202, 182, 203)(183, 205, 193, 206)(189, 214, 191, 215)(190, 207, 192, 209)(194, 218, 197, 219)(196, 220, 198, 221)(199, 223, 204, 224)(208, 234, 210, 235)(211, 237, 212, 238)(213, 239, 216, 240)(217, 243, 222, 244)(225, 253, 226, 254)(227, 255, 228, 256)(229, 258, 231, 259)(230, 260, 232, 261)(233, 263, 236, 264)(241, 273, 242, 274)(245, 279, 246, 280)(247, 281, 248, 282)(249, 284, 251, 285)(250, 286, 252, 287)(257, 293, 262, 294)(265, 283, 266, 288)(267, 276, 268, 278)(269, 298, 271, 299)(270, 292, 272, 291)(275, 302, 277, 303)(289, 301, 290, 304)(295, 311, 296, 312)(297, 306, 300, 305)(307, 315, 308, 316)(309, 317, 310, 318)(313, 319, 314, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E21.2874
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.2874 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 86>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 86>)
|r| :: 1
Presentation :: [ X2^4, X1^4, X2^-1 * X1 * X2^2 * X1^-1 * X2^-1, (X2^-1 * X1^-1)^4, X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 23, 183, 11, 171)(5, 165, 14, 174, 33, 193, 15, 175)(7, 167, 18, 178, 39, 199, 20, 180)(8, 168, 21, 181, 44, 204, 22, 182)(10, 170, 19, 179, 35, 195, 26, 186)(12, 172, 29, 189, 53, 213, 30, 190)(13, 173, 31, 191, 56, 216, 32, 192)(16, 176, 34, 194, 57, 217, 36, 196)(17, 177, 37, 197, 62, 222, 38, 198)(24, 184, 47, 207, 73, 233, 48, 208)(25, 185, 49, 209, 76, 236, 50, 210)(27, 187, 51, 211, 65, 225, 40, 200)(28, 188, 52, 212, 66, 226, 41, 201)(42, 202, 67, 227, 85, 245, 58, 218)(43, 203, 68, 228, 86, 246, 59, 219)(45, 205, 69, 229, 97, 257, 70, 230)(46, 206, 71, 231, 102, 262, 72, 232)(54, 214, 60, 220, 87, 247, 81, 241)(55, 215, 61, 221, 88, 248, 82, 242)(63, 223, 89, 249, 123, 283, 90, 250)(64, 224, 91, 251, 128, 288, 92, 252)(74, 234, 105, 265, 135, 295, 98, 258)(75, 235, 106, 266, 136, 296, 99, 259)(77, 237, 100, 260, 122, 282, 107, 267)(78, 238, 101, 261, 121, 281, 108, 268)(79, 239, 109, 269, 137, 297, 110, 270)(80, 240, 111, 271, 140, 300, 112, 272)(83, 243, 115, 275, 141, 301, 116, 276)(84, 244, 117, 277, 144, 304, 118, 278)(93, 253, 129, 289, 147, 307, 124, 284)(94, 254, 130, 290, 148, 308, 125, 285)(95, 255, 126, 286, 104, 264, 131, 291)(96, 256, 127, 287, 103, 263, 132, 292)(113, 273, 134, 294, 150, 310, 138, 298)(114, 274, 133, 293, 149, 309, 139, 299)(119, 279, 145, 305, 153, 313, 142, 302)(120, 280, 146, 306, 154, 314, 143, 303)(151, 311, 156, 316, 159, 319, 157, 317)(152, 312, 155, 315, 160, 320, 158, 318)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 176)(7, 179)(8, 162)(9, 184)(10, 165)(11, 187)(12, 186)(13, 164)(14, 185)(15, 188)(16, 195)(17, 166)(18, 200)(19, 168)(20, 202)(21, 201)(22, 203)(23, 205)(24, 174)(25, 169)(26, 173)(27, 175)(28, 171)(29, 214)(30, 207)(31, 215)(32, 209)(33, 206)(34, 218)(35, 177)(36, 220)(37, 219)(38, 221)(39, 223)(40, 181)(41, 178)(42, 182)(43, 180)(44, 224)(45, 193)(46, 183)(47, 192)(48, 234)(49, 190)(50, 235)(51, 237)(52, 238)(53, 239)(54, 191)(55, 189)(56, 240)(57, 243)(58, 197)(59, 194)(60, 198)(61, 196)(62, 244)(63, 204)(64, 199)(65, 253)(66, 254)(67, 255)(68, 256)(69, 258)(70, 260)(71, 259)(72, 261)(73, 263)(74, 210)(75, 208)(76, 264)(77, 212)(78, 211)(79, 216)(80, 213)(81, 273)(82, 274)(83, 222)(84, 217)(85, 279)(86, 280)(87, 281)(88, 282)(89, 284)(90, 286)(91, 285)(92, 287)(93, 226)(94, 225)(95, 228)(96, 227)(97, 293)(98, 231)(99, 229)(100, 232)(101, 230)(102, 294)(103, 236)(104, 233)(105, 283)(106, 288)(107, 276)(108, 278)(109, 298)(110, 292)(111, 299)(112, 291)(113, 242)(114, 241)(115, 302)(116, 268)(117, 303)(118, 267)(119, 246)(120, 245)(121, 248)(122, 247)(123, 266)(124, 251)(125, 249)(126, 252)(127, 250)(128, 265)(129, 301)(130, 304)(131, 270)(132, 272)(133, 262)(134, 257)(135, 311)(136, 312)(137, 306)(138, 271)(139, 269)(140, 305)(141, 290)(142, 277)(143, 275)(144, 289)(145, 297)(146, 300)(147, 315)(148, 316)(149, 317)(150, 318)(151, 296)(152, 295)(153, 319)(154, 320)(155, 308)(156, 307)(157, 310)(158, 309)(159, 314)(160, 313)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E21.2873
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.2875 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = (C2 x (C5 : C8)) : C2 (small group id <160, 78>)
Aut   = (C2 x (C5 : C8)) : C2 (small group id <160, 78>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-2 * X2 * X1^-2)^2, X1^2 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1, X1^-1 * X2 * X1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2, X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1 * X2 * X1^-2 * X2 * X1^-2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 93, 70, 41, 65, 34)(17, 35, 56, 28, 55, 83, 67, 36)(29, 57, 78, 50, 77, 110, 86, 58)(32, 61, 89, 69, 37, 68, 92, 62)(40, 51, 79, 107, 75, 74, 104, 72)(54, 81, 115, 88, 59, 87, 118, 82)(64, 95, 127, 90, 126, 145, 130, 96)(66, 91, 112, 140, 119, 100, 131, 98)(71, 101, 133, 106, 73, 105, 135, 102)(76, 108, 138, 114, 80, 113, 141, 109)(84, 120, 146, 116, 99, 132, 147, 121)(85, 117, 94, 129, 142, 124, 97, 122)(103, 128, 151, 134, 137, 125, 149, 136)(111, 143, 153, 139, 123, 148, 154, 144)(150, 155, 159, 157, 152, 156, 160, 158)
	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, 55)(33, 48)(34, 64)(35, 66)(36, 60)(38, 70)(39, 71)(42, 73)(43, 58)(44, 74)(47, 75)(49, 76)(52, 80)(53, 77)(56, 84)(57, 85)(61, 90)(62, 91)(63, 94)(65, 97)(67, 99)(68, 96)(69, 100)(72, 103)(78, 111)(79, 112)(81, 116)(82, 117)(83, 119)(86, 123)(87, 121)(88, 124)(89, 125)(92, 128)(93, 126)(95, 118)(98, 114)(101, 134)(102, 122)(104, 131)(105, 136)(106, 129)(107, 137)(108, 139)(109, 140)(110, 142)(113, 144)(115, 145)(120, 141)(127, 150)(130, 152)(132, 138)(133, 143)(135, 148)(146, 155)(147, 156)(149, 157)(151, 158)(153, 159)(154, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2876 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = (C2 x (C5 : C8)) : C2 (small group id <160, 78>)
Aut   = (C2 x (C5 : C8)) : C2 (small group id <160, 78>)
|r| :: 1
Presentation :: [ X1^2, X2^8, (X2^2 * X1 * X2^2)^2, X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-2, X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 ]
Map::
	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, 61)(34, 65)(35, 66)(36, 68)(38, 53)(40, 72)(42, 73)(43, 64)(44, 74)(47, 75)(49, 79)(50, 80)(51, 82)(55, 86)(57, 87)(58, 78)(59, 88)(62, 91)(63, 92)(67, 97)(69, 99)(70, 100)(71, 101)(76, 109)(77, 110)(81, 115)(83, 117)(84, 118)(85, 119)(89, 124)(90, 108)(93, 127)(94, 128)(95, 122)(96, 114)(98, 116)(102, 120)(103, 134)(104, 113)(105, 133)(106, 107)(111, 139)(112, 140)(121, 146)(123, 145)(125, 138)(126, 137)(129, 152)(130, 143)(131, 142)(132, 150)(135, 149)(136, 151)(141, 156)(144, 154)(147, 153)(148, 155)(157, 159)(158, 160)(161, 163, 168, 178, 198, 182, 170, 164)(162, 165, 172, 186, 213, 190, 174, 166)(167, 175, 192, 222, 205, 216, 194, 176)(169, 179, 200, 206, 197, 230, 202, 180)(171, 183, 207, 236, 220, 201, 209, 184)(173, 187, 215, 191, 212, 244, 217, 188)(177, 195, 227, 204, 181, 203, 229, 196)(185, 210, 241, 219, 189, 218, 243, 211)(193, 223, 253, 226, 251, 286, 254, 224)(199, 228, 258, 291, 260, 234, 262, 231)(208, 237, 271, 240, 269, 298, 272, 238)(214, 242, 276, 303, 278, 248, 280, 245)(221, 249, 285, 256, 225, 255, 270, 250)(232, 263, 295, 266, 233, 265, 296, 264)(235, 267, 297, 274, 239, 273, 252, 268)(246, 281, 307, 284, 247, 283, 308, 282)(257, 289, 305, 279, 259, 292, 306, 290)(261, 277, 304, 294, 302, 275, 301, 293)(287, 309, 317, 312, 288, 311, 318, 310)(299, 313, 319, 316, 300, 315, 320, 314)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E21.2877
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2877 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = (C2 x (C5 : C8)) : C2 (small group id <160, 78>)
Aut   = (C2 x (C5 : C8)) : C2 (small group id <160, 78>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X2^2 * X1^-4 * X2^2, (X2 * X1^-1 * X2^2)^2, X2^4 * X1^4, (X2 * X1^-3)^2, X2^8, X1^-1 * X2 * X1^-1 * X2^2 * X1 * X2^-1 * X1^2 * X2^-2 * X1^-1, X1^2 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 16, 176, 40, 200, 34, 194, 13, 173, 4, 164)(3, 163, 9, 169, 23, 183, 57, 217, 39, 199, 42, 202, 29, 189, 11, 171)(5, 165, 14, 174, 35, 195, 56, 216, 26, 186, 51, 211, 20, 180, 7, 167)(8, 168, 21, 181, 52, 212, 33, 193, 48, 208, 79, 239, 44, 204, 17, 177)(10, 170, 25, 185, 61, 221, 36, 196, 15, 175, 38, 198, 64, 224, 27, 187)(12, 172, 30, 190, 69, 229, 75, 235, 41, 201, 18, 178, 45, 205, 32, 192)(19, 179, 47, 207, 83, 243, 53, 213, 22, 182, 55, 215, 86, 246, 49, 209)(24, 184, 60, 220, 98, 258, 68, 228, 31, 191, 70, 230, 95, 255, 58, 218)(28, 188, 65, 225, 106, 266, 137, 297, 93, 253, 59, 219, 96, 256, 67, 227)(37, 197, 74, 234, 89, 249, 50, 210, 87, 247, 131, 291, 112, 272, 72, 232)(43, 203, 76, 236, 116, 276, 80, 240, 46, 206, 82, 242, 119, 279, 77, 237)(54, 214, 92, 252, 122, 282, 78, 238, 120, 280, 150, 310, 134, 294, 90, 250)(62, 222, 102, 262, 117, 277, 105, 265, 66, 226, 107, 267, 121, 281, 100, 260)(63, 223, 103, 263, 136, 296, 113, 273, 73, 233, 101, 261, 142, 302, 104, 264)(71, 231, 81, 241, 124, 284, 147, 307, 115, 275, 109, 269, 145, 305, 111, 271)(84, 244, 127, 287, 99, 259, 130, 290, 88, 248, 132, 292, 110, 270, 125, 285)(85, 245, 128, 288, 152, 312, 135, 295, 91, 251, 126, 286, 153, 313, 129, 289)(94, 254, 138, 298, 155, 315, 140, 300, 97, 257, 133, 293, 114, 274, 139, 299)(108, 268, 141, 301, 149, 309, 118, 278, 148, 308, 144, 304, 151, 311, 123, 283)(143, 303, 154, 314, 159, 319, 157, 317, 146, 306, 156, 316, 160, 320, 158, 318)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 179)(8, 162)(9, 164)(10, 186)(11, 188)(12, 191)(13, 193)(14, 196)(15, 165)(16, 201)(17, 203)(18, 166)(19, 208)(20, 210)(21, 213)(22, 168)(23, 218)(24, 169)(25, 171)(26, 200)(27, 223)(28, 226)(29, 228)(30, 173)(31, 202)(32, 231)(33, 206)(34, 216)(35, 232)(36, 233)(37, 174)(38, 217)(39, 175)(40, 199)(41, 184)(42, 176)(43, 190)(44, 238)(45, 240)(46, 178)(47, 180)(48, 194)(49, 245)(50, 248)(51, 187)(52, 250)(53, 251)(54, 181)(55, 195)(56, 182)(57, 253)(58, 254)(59, 183)(60, 235)(61, 260)(62, 185)(63, 197)(64, 265)(65, 189)(66, 198)(67, 268)(68, 257)(69, 237)(70, 192)(71, 259)(72, 244)(73, 247)(74, 264)(75, 275)(76, 204)(77, 278)(78, 281)(79, 209)(80, 283)(81, 205)(82, 212)(83, 285)(84, 207)(85, 214)(86, 290)(87, 211)(88, 215)(89, 293)(90, 277)(91, 280)(92, 289)(93, 222)(94, 225)(95, 292)(96, 300)(97, 219)(98, 287)(99, 220)(100, 282)(101, 221)(102, 297)(103, 224)(104, 303)(105, 294)(106, 299)(107, 227)(108, 276)(109, 229)(110, 230)(111, 286)(112, 298)(113, 306)(114, 234)(115, 270)(116, 262)(117, 236)(118, 241)(119, 267)(120, 239)(121, 242)(122, 263)(123, 269)(124, 309)(125, 307)(126, 243)(127, 272)(128, 246)(129, 314)(130, 271)(131, 273)(132, 249)(133, 258)(134, 261)(135, 316)(136, 252)(137, 308)(138, 255)(139, 317)(140, 318)(141, 256)(142, 310)(143, 315)(144, 266)(145, 311)(146, 274)(147, 288)(148, 279)(149, 319)(150, 295)(151, 320)(152, 284)(153, 305)(154, 302)(155, 291)(156, 296)(157, 301)(158, 304)(159, 313)(160, 312)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E21.2876
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2878 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = ((C5 : C8) : C2) : C2 (small group id <160, 88>)
Aut   = ((C5 : C8) : C2) : C2 (small group id <160, 88>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-2 * X2 * X1^-2)^2, X2 * X1^-1 * X2 * X1^-1 * X2 * X1^3 * X2 * X1^-1, (X1^-1 * X2 * X1 * X2 * X1^-2 * X2)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 93, 70, 41, 65, 34)(17, 35, 56, 28, 55, 83, 67, 36)(29, 57, 78, 50, 77, 110, 86, 58)(32, 61, 89, 69, 37, 68, 92, 62)(40, 51, 79, 107, 75, 74, 104, 72)(54, 81, 115, 88, 59, 87, 118, 82)(64, 95, 127, 90, 126, 146, 130, 96)(66, 91, 128, 144, 119, 100, 112, 98)(71, 101, 133, 106, 73, 105, 135, 102)(76, 108, 138, 114, 80, 113, 140, 109)(84, 120, 145, 116, 99, 132, 147, 121)(85, 117, 97, 131, 141, 124, 94, 122)(103, 125, 149, 134, 137, 129, 151, 136)(111, 142, 153, 139, 123, 148, 154, 143)(150, 156, 159, 157, 152, 155, 160, 158)
	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, 55)(33, 48)(34, 64)(35, 66)(36, 60)(38, 70)(39, 71)(42, 73)(43, 58)(44, 74)(47, 75)(49, 76)(52, 80)(53, 77)(56, 84)(57, 85)(61, 90)(62, 91)(63, 94)(65, 97)(67, 99)(68, 96)(69, 100)(72, 103)(78, 111)(79, 112)(81, 116)(82, 117)(83, 119)(86, 123)(87, 121)(88, 124)(89, 125)(92, 129)(93, 126)(95, 115)(98, 109)(101, 134)(102, 131)(104, 128)(105, 136)(106, 122)(107, 137)(108, 139)(110, 141)(113, 143)(114, 144)(118, 146)(120, 138)(127, 150)(130, 152)(132, 140)(133, 148)(135, 142)(145, 155)(147, 156)(149, 157)(151, 158)(153, 159)(154, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 80 f = 20
	degree seq :: [ 8^20 ]

E21.2879 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = ((C5 : C8) : C2) : C2 (small group id <160, 88>)
Aut   = ((C5 : C8) : C2) : C2 (small group id <160, 88>)
|r| :: 1
Presentation :: [ X1^2, X2^8, (X2^-2 * X1 * X2^-2)^2, X1 * X2 * X1 * X2^-3 * X1 * X2 * X1 * X2, X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 ]
Map::
	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, 61)(34, 65)(35, 66)(36, 68)(38, 53)(40, 72)(42, 73)(43, 64)(44, 74)(47, 75)(49, 79)(50, 80)(51, 82)(55, 86)(57, 87)(58, 78)(59, 88)(62, 91)(63, 92)(67, 97)(69, 99)(70, 100)(71, 101)(76, 109)(77, 110)(81, 115)(83, 117)(84, 118)(85, 119)(89, 124)(90, 114)(93, 127)(94, 128)(95, 122)(96, 108)(98, 120)(102, 116)(103, 134)(104, 113)(105, 133)(106, 107)(111, 139)(112, 140)(121, 146)(123, 145)(125, 138)(126, 137)(129, 152)(130, 144)(131, 150)(132, 142)(135, 151)(136, 149)(141, 156)(143, 154)(147, 155)(148, 153)(157, 159)(158, 160)(161, 163, 168, 178, 198, 182, 170, 164)(162, 165, 172, 186, 213, 190, 174, 166)(167, 175, 192, 222, 205, 216, 194, 176)(169, 179, 200, 206, 197, 230, 202, 180)(171, 183, 207, 236, 220, 201, 209, 184)(173, 187, 215, 191, 212, 244, 217, 188)(177, 195, 227, 204, 181, 203, 229, 196)(185, 210, 241, 219, 189, 218, 243, 211)(193, 223, 253, 226, 251, 286, 254, 224)(199, 228, 258, 290, 260, 234, 262, 231)(208, 237, 271, 240, 269, 298, 272, 238)(214, 242, 276, 302, 278, 248, 280, 245)(221, 249, 270, 256, 225, 255, 285, 250)(232, 263, 295, 266, 233, 265, 296, 264)(235, 267, 252, 274, 239, 273, 297, 268)(246, 281, 307, 284, 247, 283, 308, 282)(257, 289, 306, 292, 259, 291, 305, 279)(261, 275, 301, 294, 304, 277, 303, 293)(287, 309, 317, 312, 288, 311, 318, 310)(299, 313, 319, 316, 300, 315, 320, 314)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E21.2880
Transitivity :: ET+
Graph:: simple bipartite
	v = 100 e = 160 f = 20
	degree seq :: [ 2^80, 8^20 ]

E21.2880 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = ((C5 : C8) : C2) : C2 (small group id <160, 88>)
Aut   = ((C5 : C8) : C2) : C2 (small group id <160, 88>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, (X2^-1 * X1^-1)^2, (X2 * X1^-3)^2, X1^-1 * X2^3 * X1^3 * X2^-1, X1^4 * X2^-4, (X1 * X2^-1 * X1^2)^2, X1^8, X2^2 * X1^2 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1^-1 * X2^2 * X1^-2 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^-1, X1^-1 * X2^2 * X1^2 * X2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1^-1 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 16, 176, 40, 200, 34, 194, 13, 173, 4, 164)(3, 163, 9, 169, 23, 183, 57, 217, 39, 199, 42, 202, 29, 189, 11, 171)(5, 165, 14, 174, 35, 195, 56, 216, 26, 186, 51, 211, 20, 180, 7, 167)(8, 168, 21, 181, 52, 212, 33, 193, 48, 208, 79, 239, 44, 204, 17, 177)(10, 170, 25, 185, 61, 221, 36, 196, 15, 175, 38, 198, 64, 224, 27, 187)(12, 172, 30, 190, 69, 229, 75, 235, 41, 201, 18, 178, 45, 205, 32, 192)(19, 179, 47, 207, 83, 243, 53, 213, 22, 182, 55, 215, 86, 246, 49, 209)(24, 184, 60, 220, 98, 258, 68, 228, 31, 191, 70, 230, 95, 255, 58, 218)(28, 188, 65, 225, 106, 266, 137, 297, 93, 253, 59, 219, 96, 256, 67, 227)(37, 197, 74, 234, 89, 249, 50, 210, 87, 247, 131, 291, 112, 272, 72, 232)(43, 203, 76, 236, 116, 276, 80, 240, 46, 206, 82, 242, 119, 279, 77, 237)(54, 214, 92, 252, 122, 282, 78, 238, 120, 280, 150, 310, 134, 294, 90, 250)(62, 222, 102, 262, 121, 281, 105, 265, 66, 226, 107, 267, 117, 277, 100, 260)(63, 223, 103, 263, 142, 302, 113, 273, 73, 233, 101, 261, 136, 296, 104, 264)(71, 231, 81, 241, 124, 284, 147, 307, 115, 275, 109, 269, 145, 305, 111, 271)(84, 244, 127, 287, 110, 270, 130, 290, 88, 248, 132, 292, 99, 259, 125, 285)(85, 245, 128, 288, 153, 313, 135, 295, 91, 251, 126, 286, 152, 312, 129, 289)(94, 254, 133, 293, 114, 274, 139, 299, 97, 257, 141, 301, 155, 315, 138, 298)(108, 268, 140, 300, 151, 311, 123, 283, 148, 308, 144, 304, 149, 309, 118, 278)(143, 303, 156, 316, 159, 319, 158, 318, 146, 306, 154, 314, 160, 320, 157, 317)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 179)(8, 162)(9, 164)(10, 186)(11, 188)(12, 191)(13, 193)(14, 196)(15, 165)(16, 201)(17, 203)(18, 166)(19, 208)(20, 210)(21, 213)(22, 168)(23, 218)(24, 169)(25, 171)(26, 200)(27, 223)(28, 226)(29, 228)(30, 173)(31, 202)(32, 231)(33, 206)(34, 216)(35, 232)(36, 233)(37, 174)(38, 217)(39, 175)(40, 199)(41, 184)(42, 176)(43, 190)(44, 238)(45, 240)(46, 178)(47, 180)(48, 194)(49, 245)(50, 248)(51, 187)(52, 250)(53, 251)(54, 181)(55, 195)(56, 182)(57, 253)(58, 254)(59, 183)(60, 235)(61, 260)(62, 185)(63, 197)(64, 265)(65, 189)(66, 198)(67, 268)(68, 257)(69, 237)(70, 192)(71, 259)(72, 244)(73, 247)(74, 264)(75, 275)(76, 204)(77, 278)(78, 281)(79, 209)(80, 283)(81, 205)(82, 212)(83, 285)(84, 207)(85, 214)(86, 290)(87, 211)(88, 215)(89, 293)(90, 277)(91, 280)(92, 289)(93, 222)(94, 225)(95, 287)(96, 299)(97, 219)(98, 292)(99, 220)(100, 294)(101, 221)(102, 297)(103, 224)(104, 303)(105, 282)(106, 298)(107, 227)(108, 279)(109, 229)(110, 230)(111, 288)(112, 301)(113, 306)(114, 234)(115, 270)(116, 267)(117, 236)(118, 241)(119, 262)(120, 239)(121, 242)(122, 261)(123, 269)(124, 309)(125, 271)(126, 243)(127, 272)(128, 246)(129, 314)(130, 307)(131, 273)(132, 249)(133, 255)(134, 263)(135, 316)(136, 252)(137, 308)(138, 317)(139, 318)(140, 256)(141, 258)(142, 310)(143, 315)(144, 266)(145, 311)(146, 274)(147, 286)(148, 276)(149, 319)(150, 295)(151, 320)(152, 284)(153, 305)(154, 302)(155, 291)(156, 296)(157, 300)(158, 304)(159, 313)(160, 312)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E21.2879
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 20 e = 160 f = 100
	degree seq :: [ 16^20 ]

E21.2881 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 84})
Quotient :: regular
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^39 * T2 * T1^-3 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 121, 147, 138, 132, 129, 130, 133, 139, 148, 156, 128, 119, 116, 108, 103, 93, 86, 75, 81, 76, 82, 90, 99, 106, 112, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 123, 168, 164, 161, 154, 144, 151, 145, 152, 159, 163, 167, 126, 120, 114, 110, 101, 95, 83, 77, 71, 74, 80, 89, 98, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 125, 157, 150, 140, 136, 131, 135, 143, 153, 160, 122, 166, 111, 118, 97, 107, 79, 92, 70, 91, 72, 94, 87, 109, 104, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 127, 158, 149, 142, 134, 141, 137, 146, 155, 162, 165, 117, 124, 105, 113, 88, 100, 73, 85, 69, 84, 78, 102, 96, 115, 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, 104)(63, 123)(67, 112)(68, 127)(69, 129)(70, 130)(71, 131)(72, 132)(73, 133)(74, 134)(75, 135)(76, 136)(77, 137)(78, 138)(79, 139)(80, 140)(81, 141)(82, 142)(83, 143)(84, 144)(85, 145)(86, 146)(87, 147)(88, 148)(89, 149)(90, 150)(91, 151)(92, 152)(93, 153)(94, 154)(95, 155)(96, 121)(97, 156)(98, 157)(99, 158)(100, 159)(101, 160)(102, 161)(103, 162)(105, 128)(106, 125)(107, 163)(108, 122)(109, 164)(110, 165)(111, 119)(113, 167)(114, 166)(115, 168)(116, 117)(118, 126)(120, 124)
	local type(s) :: { ( 4^84 ) }
Outer automorphisms :: reflexible
Dual of E21.2882
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 84 f = 42
	degree seq :: [ 84^2 ]

E21.2882 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 84})
Quotient :: regular
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (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^-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, 57, 38, 59)(39, 61, 41, 63)(40, 64, 44, 66)(42, 68, 43, 70)(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, 67, 101)(65, 105, 72, 104)(69, 109, 71, 108)(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, 107, 142)(106, 144, 112, 145)(110, 148, 111, 149)(115, 153, 116, 154)(119, 157, 120, 158)(123, 161, 124, 162)(127, 165, 128, 166)(131, 167, 132, 168)(135, 164, 136, 163)(139, 160, 140, 159)(143, 155, 147, 156)(146, 150, 152, 151)
	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, 39)(36, 41)(40, 57)(42, 61)(43, 63)(44, 59)(45, 64)(46, 66)(47, 68)(48, 70)(49, 73)(50, 75)(51, 77)(52, 79)(53, 81)(54, 83)(55, 85)(56, 87)(58, 89)(60, 91)(62, 93)(65, 98)(67, 95)(69, 102)(71, 101)(72, 97)(74, 105)(76, 104)(78, 109)(80, 108)(82, 114)(84, 113)(86, 118)(88, 117)(90, 122)(92, 121)(94, 126)(96, 125)(99, 130)(100, 129)(103, 134)(106, 137)(107, 133)(110, 141)(111, 142)(112, 138)(115, 144)(116, 145)(119, 148)(120, 149)(123, 153)(124, 154)(127, 157)(128, 158)(131, 161)(132, 162)(135, 165)(136, 166)(139, 167)(140, 168)(143, 164)(146, 160)(147, 163)(150, 155)(151, 156)(152, 159)
	local type(s) :: { ( 84^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2881
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 42 e = 84 f = 2
	degree seq :: [ 4^42 ]

E21.2883 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 84})
Quotient :: edge
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 52, 36, 51)(39, 68, 46, 69)(40, 71, 49, 72)(41, 73, 42, 74)(43, 66, 44, 65)(45, 76, 47, 67)(48, 79, 50, 70)(53, 77, 54, 75)(55, 80, 56, 78)(57, 82, 58, 81)(59, 84, 60, 83)(61, 86, 62, 85)(63, 88, 64, 87)(89, 93, 90, 94)(91, 104, 92, 103)(95, 124, 96, 125)(97, 122, 98, 121)(99, 128, 100, 129)(101, 131, 102, 132)(105, 126, 106, 123)(107, 130, 108, 127)(109, 134, 110, 133)(111, 136, 112, 135)(113, 138, 114, 137)(115, 140, 116, 139)(117, 142, 118, 141)(119, 144, 120, 143)(145, 149, 146, 150)(147, 160, 148, 159)(151, 163, 152, 164)(153, 167, 154, 168)(155, 161, 156, 162)(157, 165, 158, 166)(169, 170)(171, 175)(172, 177)(173, 178)(174, 180)(176, 179)(181, 185)(182, 186)(183, 187)(184, 188)(189, 193)(190, 194)(191, 195)(192, 196)(197, 201)(198, 202)(199, 203)(200, 204)(205, 233)(206, 234)(207, 235)(208, 238)(209, 239)(210, 240)(211, 236)(212, 237)(213, 243)(214, 244)(215, 245)(216, 246)(217, 247)(218, 248)(219, 241)(220, 242)(221, 249)(222, 250)(223, 251)(224, 252)(225, 253)(226, 254)(227, 255)(228, 256)(229, 257)(230, 258)(231, 259)(232, 260)(261, 289)(262, 290)(263, 291)(264, 294)(265, 292)(266, 293)(267, 295)(268, 298)(269, 296)(270, 297)(271, 299)(272, 300)(273, 301)(274, 302)(275, 303)(276, 304)(277, 305)(278, 306)(279, 307)(280, 308)(281, 309)(282, 310)(283, 311)(284, 312)(285, 313)(286, 314)(287, 315)(288, 316)(317, 336)(318, 335)(319, 323)(320, 324)(321, 331)(322, 332)(325, 329)(326, 330)(327, 333)(328, 334)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 168, 168 ), ( 168^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2887
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 168 f = 2
	degree seq :: [ 2^84, 4^42 ]

E21.2884 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 84})
Quotient :: edge
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-42 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 112, 104, 96, 88, 80, 73, 69, 71, 78, 86, 94, 102, 110, 118, 125, 133, 138, 152, 160, 165, 156, 146, 136, 142, 130, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 127, 129, 121, 114, 106, 98, 90, 82, 74, 81, 89, 97, 105, 113, 120, 128, 159, 149, 140, 150, 162, 168, 167, 158, 148, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 123, 116, 108, 100, 92, 84, 76, 70, 75, 83, 91, 99, 107, 115, 122, 131, 141, 137, 145, 157, 164, 161, 151, 139, 132, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 124, 117, 109, 101, 93, 85, 77, 72, 79, 87, 95, 103, 111, 119, 126, 134, 143, 135, 147, 155, 166, 163, 153, 144, 154, 64, 56, 48, 40, 32, 24, 16, 8)(169, 170, 174, 172)(171, 177, 181, 176)(173, 179, 182, 175)(178, 184, 189, 185)(180, 183, 190, 187)(186, 193, 197, 192)(188, 195, 198, 191)(194, 200, 205, 201)(196, 199, 206, 203)(202, 209, 213, 208)(204, 211, 214, 207)(210, 216, 221, 217)(212, 215, 222, 219)(218, 225, 229, 224)(220, 227, 230, 223)(226, 232, 295, 233)(228, 231, 298, 235)(234, 300, 297, 322)(236, 292, 310, 291)(237, 303, 242, 305)(238, 306, 240, 308)(239, 309, 249, 311)(241, 313, 250, 315)(243, 317, 247, 301)(244, 318, 245, 320)(246, 302, 257, 299)(248, 323, 258, 325)(251, 293, 255, 327)(252, 328, 253, 330)(254, 290, 265, 294)(256, 332, 266, 334)(259, 296, 263, 286)(260, 336, 261, 333)(262, 287, 273, 283)(264, 331, 274, 329)(267, 278, 271, 288)(268, 324, 269, 335)(270, 275, 281, 279)(272, 319, 282, 321)(276, 326, 277, 314)(280, 312, 289, 307)(284, 304, 285, 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) :: { ( 4^4 ), ( 4^84 ) }
Outer automorphisms :: reflexible
Dual of E21.2888
Transitivity :: ET+
Graph:: bipartite
	v = 44 e = 168 f = 84
	degree seq :: [ 4^42, 84^2 ]

E21.2885 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 84})
Quotient :: edge
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^39 * T2 * T1^-3 * T2 ]
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, 71)(63, 103)(67, 70)(68, 107)(69, 105)(72, 112)(73, 101)(74, 115)(75, 117)(76, 119)(77, 121)(78, 123)(79, 125)(80, 127)(81, 129)(82, 131)(83, 133)(84, 135)(85, 137)(86, 139)(87, 141)(88, 143)(89, 145)(90, 147)(91, 149)(92, 151)(93, 153)(94, 155)(95, 157)(96, 159)(97, 161)(98, 163)(99, 165)(100, 162)(102, 167)(104, 160)(106, 168)(108, 154)(109, 156)(110, 164)(111, 166)(113, 148)(114, 158)(116, 144)(118, 140)(120, 150)(122, 152)(124, 136)(126, 146)(128, 132)(130, 142)(134, 138)(169, 170, 173, 179, 188, 197, 205, 213, 221, 229, 269, 287, 297, 305, 313, 321, 329, 335, 334, 326, 318, 310, 302, 294, 276, 268, 264, 260, 256, 252, 248, 243, 240, 237, 238, 234, 226, 218, 210, 202, 194, 184, 191, 185, 192, 200, 208, 216, 224, 232, 271, 289, 283, 291, 299, 307, 315, 323, 331, 328, 320, 312, 304, 296, 286, 281, 277, 278, 274, 267, 263, 259, 255, 251, 247, 236, 228, 220, 212, 204, 196, 187, 178, 172)(171, 175, 183, 193, 201, 209, 217, 225, 233, 273, 293, 285, 309, 303, 325, 319, 336, 330, 324, 314, 308, 298, 292, 282, 290, 270, 266, 261, 258, 253, 250, 244, 242, 239, 231, 222, 215, 206, 199, 189, 182, 174, 181, 177, 186, 195, 203, 211, 219, 227, 235, 275, 280, 301, 295, 317, 311, 333, 327, 332, 322, 316, 306, 300, 288, 284, 279, 272, 265, 262, 257, 254, 249, 246, 241, 245, 230, 223, 214, 207, 198, 190, 180, 176)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8, 8 ), ( 8^84 ) }
Outer automorphisms :: reflexible
Dual of E21.2886
Transitivity :: ET+
Graph:: simple bipartite
	v = 86 e = 168 f = 42
	degree seq :: [ 2^84, 84^2 ]

E21.2886 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 84})
Quotient :: loop
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|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^-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, 169, 3, 171, 8, 176, 4, 172)(2, 170, 5, 173, 11, 179, 6, 174)(7, 175, 13, 181, 9, 177, 14, 182)(10, 178, 15, 183, 12, 180, 16, 184)(17, 185, 21, 189, 18, 186, 22, 190)(19, 187, 23, 191, 20, 188, 24, 192)(25, 193, 29, 197, 26, 194, 30, 198)(27, 195, 31, 199, 28, 196, 32, 200)(33, 201, 37, 205, 34, 202, 38, 206)(35, 203, 63, 231, 36, 204, 64, 232)(39, 207, 68, 236, 46, 214, 69, 237)(40, 208, 71, 239, 49, 217, 72, 240)(41, 209, 73, 241, 42, 210, 74, 242)(43, 211, 75, 243, 44, 212, 76, 244)(45, 213, 77, 245, 47, 215, 67, 235)(48, 216, 78, 246, 50, 218, 70, 238)(51, 219, 79, 247, 52, 220, 80, 248)(53, 221, 81, 249, 54, 222, 82, 250)(55, 223, 83, 251, 56, 224, 84, 252)(57, 225, 85, 253, 58, 226, 86, 254)(59, 227, 87, 255, 60, 228, 88, 256)(61, 229, 89, 257, 62, 230, 90, 258)(65, 233, 93, 261, 66, 234, 94, 262)(91, 259, 119, 287, 92, 260, 120, 288)(95, 263, 123, 291, 105, 273, 124, 292)(96, 264, 125, 293, 97, 265, 126, 294)(98, 266, 127, 295, 106, 274, 128, 296)(99, 267, 129, 297, 100, 268, 130, 298)(101, 269, 131, 299, 102, 270, 132, 300)(103, 271, 133, 301, 104, 272, 134, 302)(107, 275, 135, 303, 108, 276, 136, 304)(109, 277, 137, 305, 110, 278, 138, 306)(111, 279, 139, 307, 112, 280, 140, 308)(113, 281, 141, 309, 114, 282, 142, 310)(115, 283, 143, 311, 116, 284, 144, 312)(117, 285, 145, 313, 118, 286, 146, 314)(121, 289, 149, 317, 122, 290, 150, 318)(147, 315, 167, 335, 148, 316, 168, 336)(151, 319, 164, 332, 152, 320, 163, 331)(153, 321, 159, 327, 154, 322, 160, 328)(155, 323, 166, 334, 156, 324, 165, 333)(157, 325, 161, 329, 158, 326, 162, 330)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 178)(6, 180)(7, 171)(8, 179)(9, 172)(10, 173)(11, 176)(12, 174)(13, 185)(14, 186)(15, 187)(16, 188)(17, 181)(18, 182)(19, 183)(20, 184)(21, 193)(22, 194)(23, 195)(24, 196)(25, 189)(26, 190)(27, 191)(28, 192)(29, 201)(30, 202)(31, 203)(32, 204)(33, 197)(34, 198)(35, 199)(36, 200)(37, 218)(38, 216)(39, 235)(40, 238)(41, 239)(42, 240)(43, 236)(44, 237)(45, 232)(46, 245)(47, 231)(48, 206)(49, 246)(50, 205)(51, 241)(52, 242)(53, 243)(54, 244)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 215)(64, 213)(65, 255)(66, 256)(67, 207)(68, 211)(69, 212)(70, 208)(71, 209)(72, 210)(73, 219)(74, 220)(75, 221)(76, 222)(77, 214)(78, 217)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 233)(88, 234)(89, 259)(90, 260)(91, 257)(92, 258)(93, 266)(94, 274)(95, 287)(96, 291)(97, 292)(98, 261)(99, 295)(100, 296)(101, 297)(102, 298)(103, 293)(104, 294)(105, 288)(106, 262)(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, 263)(120, 273)(121, 311)(122, 312)(123, 264)(124, 265)(125, 271)(126, 272)(127, 267)(128, 268)(129, 269)(130, 270)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 289)(144, 290)(145, 315)(146, 316)(147, 313)(148, 314)(149, 323)(150, 324)(151, 335)(152, 336)(153, 332)(154, 331)(155, 317)(156, 318)(157, 334)(158, 333)(159, 329)(160, 330)(161, 327)(162, 328)(163, 322)(164, 321)(165, 326)(166, 325)(167, 319)(168, 320)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E21.2885
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 42 e = 168 f = 86
	degree seq :: [ 8^42 ]

E21.2887 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 84})
Quotient :: loop
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-42 * T1^-1 ]
Map::
	R = (1, 169, 3, 171, 10, 178, 18, 186, 26, 194, 34, 202, 42, 210, 50, 218, 58, 226, 66, 234, 79, 247, 70, 238, 77, 245, 83, 251, 91, 259, 94, 262, 99, 267, 102, 270, 107, 275, 111, 279, 158, 326, 168, 336, 161, 329, 154, 322, 149, 317, 145, 313, 141, 309, 137, 305, 133, 301, 128, 296, 121, 289, 115, 283, 119, 287, 127, 295, 110, 278, 62, 230, 54, 222, 46, 214, 38, 206, 30, 198, 22, 190, 14, 182, 6, 174, 13, 181, 21, 189, 29, 197, 37, 205, 45, 213, 53, 221, 61, 229, 89, 257, 85, 253, 75, 243, 72, 240, 76, 244, 84, 252, 90, 258, 95, 263, 98, 266, 103, 271, 106, 274, 112, 280, 160, 328, 167, 335, 163, 331, 156, 324, 151, 319, 146, 314, 142, 310, 138, 306, 134, 302, 129, 297, 122, 290, 116, 284, 120, 288, 68, 236, 60, 228, 52, 220, 44, 212, 36, 204, 28, 196, 20, 188, 12, 180, 5, 173)(2, 170, 7, 175, 15, 183, 23, 191, 31, 199, 39, 207, 47, 215, 55, 223, 63, 231, 87, 255, 71, 239, 74, 242, 73, 241, 88, 256, 86, 254, 97, 265, 96, 264, 105, 273, 104, 272, 150, 318, 114, 282, 162, 330, 165, 333, 157, 325, 152, 320, 147, 315, 143, 311, 139, 307, 135, 303, 130, 298, 125, 293, 117, 285, 123, 291, 113, 281, 65, 233, 57, 225, 49, 217, 41, 209, 33, 201, 25, 193, 17, 185, 9, 177, 4, 172, 11, 179, 19, 187, 27, 195, 35, 203, 43, 211, 51, 219, 59, 227, 67, 235, 78, 246, 81, 249, 69, 237, 82, 250, 80, 248, 93, 261, 92, 260, 101, 269, 100, 268, 109, 277, 108, 276, 155, 323, 166, 334, 164, 332, 159, 327, 153, 321, 148, 316, 144, 312, 140, 308, 136, 304, 131, 299, 126, 294, 118, 286, 124, 292, 132, 300, 64, 232, 56, 224, 48, 216, 40, 208, 32, 200, 24, 192, 16, 184, 8, 176)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 179)(6, 172)(7, 173)(8, 171)(9, 181)(10, 184)(11, 182)(12, 183)(13, 176)(14, 175)(15, 190)(16, 189)(17, 178)(18, 193)(19, 180)(20, 195)(21, 185)(22, 187)(23, 188)(24, 186)(25, 197)(26, 200)(27, 198)(28, 199)(29, 192)(30, 191)(31, 206)(32, 205)(33, 194)(34, 209)(35, 196)(36, 211)(37, 201)(38, 203)(39, 204)(40, 202)(41, 213)(42, 216)(43, 214)(44, 215)(45, 208)(46, 207)(47, 222)(48, 221)(49, 210)(50, 225)(51, 212)(52, 227)(53, 217)(54, 219)(55, 220)(56, 218)(57, 229)(58, 232)(59, 230)(60, 231)(61, 224)(62, 223)(63, 278)(64, 257)(65, 226)(66, 281)(67, 228)(68, 246)(69, 283)(70, 285)(71, 287)(72, 286)(73, 289)(74, 284)(75, 291)(76, 293)(77, 294)(78, 295)(79, 292)(80, 296)(81, 288)(82, 290)(83, 298)(84, 299)(85, 300)(86, 301)(87, 236)(88, 297)(89, 233)(90, 303)(91, 304)(92, 305)(93, 302)(94, 307)(95, 308)(96, 309)(97, 306)(98, 311)(99, 312)(100, 313)(101, 310)(102, 315)(103, 316)(104, 317)(105, 314)(106, 320)(107, 321)(108, 322)(109, 319)(110, 235)(111, 325)(112, 327)(113, 253)(114, 329)(115, 242)(116, 237)(117, 240)(118, 238)(119, 249)(120, 239)(121, 250)(122, 241)(123, 247)(124, 243)(125, 245)(126, 244)(127, 255)(128, 256)(129, 248)(130, 252)(131, 251)(132, 234)(133, 261)(134, 254)(135, 259)(136, 258)(137, 265)(138, 260)(139, 263)(140, 262)(141, 269)(142, 264)(143, 267)(144, 266)(145, 273)(146, 268)(147, 271)(148, 270)(149, 277)(150, 324)(151, 272)(152, 275)(153, 274)(154, 318)(155, 331)(156, 276)(157, 280)(158, 332)(159, 279)(160, 333)(161, 323)(162, 335)(163, 282)(164, 328)(165, 326)(166, 336)(167, 334)(168, 330)
	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 E21.2883
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 168 f = 126
	degree seq :: [ 168^2 ]

E21.2888 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 84})
Quotient :: loop
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^39 * T2 * T1^-3 * T2 ]
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, 26, 194)(19, 187, 27, 195)(20, 188, 30, 198)(22, 190, 32, 200)(25, 193, 34, 202)(28, 196, 33, 201)(29, 197, 38, 206)(31, 199, 40, 208)(35, 203, 42, 210)(36, 204, 43, 211)(37, 205, 46, 214)(39, 207, 48, 216)(41, 209, 50, 218)(44, 212, 49, 217)(45, 213, 54, 222)(47, 215, 56, 224)(51, 219, 58, 226)(52, 220, 59, 227)(53, 221, 62, 230)(55, 223, 64, 232)(57, 225, 66, 234)(60, 228, 65, 233)(61, 229, 101, 269)(63, 231, 72, 240)(67, 235, 105, 273)(68, 236, 82, 250)(69, 237, 107, 275)(70, 238, 108, 276)(71, 239, 109, 277)(73, 241, 110, 278)(74, 242, 111, 279)(75, 243, 112, 280)(76, 244, 113, 281)(77, 245, 114, 282)(78, 246, 115, 283)(79, 247, 116, 284)(80, 248, 117, 285)(81, 249, 118, 286)(83, 251, 119, 287)(84, 252, 120, 288)(85, 253, 121, 289)(86, 254, 122, 290)(87, 255, 123, 291)(88, 256, 124, 292)(89, 257, 125, 293)(90, 258, 126, 294)(91, 259, 127, 295)(92, 260, 128, 296)(93, 261, 129, 297)(94, 262, 130, 298)(95, 263, 131, 299)(96, 264, 133, 301)(97, 265, 134, 302)(98, 266, 135, 303)(99, 267, 136, 304)(100, 268, 138, 306)(102, 270, 141, 309)(103, 271, 142, 310)(104, 272, 143, 311)(106, 274, 145, 313)(132, 300, 168, 336)(137, 305, 167, 335)(139, 307, 166, 334)(140, 308, 165, 333)(144, 312, 164, 332)(146, 314, 163, 331)(147, 315, 162, 330)(148, 316, 161, 329)(149, 317, 160, 328)(150, 318, 159, 327)(151, 319, 158, 326)(152, 320, 157, 325)(153, 321, 156, 324)(154, 322, 155, 323)
	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, 191)(17, 192)(18, 195)(19, 178)(20, 197)(21, 182)(22, 180)(23, 185)(24, 200)(25, 201)(26, 184)(27, 203)(28, 187)(29, 205)(30, 190)(31, 189)(32, 208)(33, 209)(34, 194)(35, 211)(36, 196)(37, 213)(38, 199)(39, 198)(40, 216)(41, 217)(42, 202)(43, 219)(44, 204)(45, 221)(46, 207)(47, 206)(48, 224)(49, 225)(50, 210)(51, 227)(52, 212)(53, 229)(54, 215)(55, 214)(56, 232)(57, 233)(58, 218)(59, 235)(60, 220)(61, 239)(62, 223)(63, 222)(64, 240)(65, 237)(66, 226)(67, 250)(68, 228)(69, 246)(70, 251)(71, 243)(72, 244)(73, 245)(74, 255)(75, 248)(76, 241)(77, 249)(78, 242)(79, 259)(80, 253)(81, 254)(82, 238)(83, 247)(84, 263)(85, 257)(86, 258)(87, 252)(88, 267)(89, 261)(90, 262)(91, 256)(92, 272)(93, 265)(94, 266)(95, 260)(96, 300)(97, 270)(98, 271)(99, 264)(100, 305)(101, 231)(102, 307)(103, 308)(104, 268)(105, 234)(106, 312)(107, 273)(108, 275)(109, 281)(110, 269)(111, 276)(112, 278)(113, 230)(114, 277)(115, 236)(116, 279)(117, 282)(118, 280)(119, 283)(120, 284)(121, 286)(122, 285)(123, 287)(124, 288)(125, 290)(126, 289)(127, 291)(128, 292)(129, 294)(130, 293)(131, 295)(132, 274)(133, 296)(134, 298)(135, 297)(136, 299)(137, 314)(138, 301)(139, 315)(140, 316)(141, 303)(142, 302)(143, 304)(144, 318)(145, 306)(146, 317)(147, 319)(148, 320)(149, 322)(150, 321)(151, 323)(152, 324)(153, 326)(154, 325)(155, 327)(156, 328)(157, 330)(158, 329)(159, 331)(160, 332)(161, 334)(162, 333)(163, 313)(164, 335)(165, 309)(166, 310)(167, 336)(168, 311)
	local type(s) :: { ( 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E21.2884
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 84 e = 168 f = 44
	degree seq :: [ 4^84 ]

E21.2889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 84})
Quotient :: dipole
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|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^-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)^84 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 10, 178)(6, 174, 12, 180)(8, 176, 11, 179)(13, 181, 17, 185)(14, 182, 18, 186)(15, 183, 19, 187)(16, 184, 20, 188)(21, 189, 25, 193)(22, 190, 26, 194)(23, 191, 27, 195)(24, 192, 28, 196)(29, 197, 33, 201)(30, 198, 34, 202)(31, 199, 35, 203)(32, 200, 36, 204)(37, 205, 44, 212)(38, 206, 43, 211)(39, 207, 65, 233)(40, 208, 69, 237)(41, 209, 63, 231)(42, 210, 61, 229)(45, 213, 66, 234)(46, 214, 76, 244)(47, 215, 68, 236)(48, 216, 70, 238)(49, 217, 73, 241)(50, 218, 72, 240)(51, 219, 79, 247)(52, 220, 81, 249)(53, 221, 84, 252)(54, 222, 86, 254)(55, 223, 89, 257)(56, 224, 91, 259)(57, 225, 93, 261)(58, 226, 95, 263)(59, 227, 97, 265)(60, 228, 99, 267)(62, 230, 101, 269)(64, 232, 103, 271)(67, 235, 113, 281)(71, 239, 117, 285)(74, 242, 111, 279)(75, 243, 109, 277)(77, 245, 107, 275)(78, 246, 105, 273)(80, 248, 114, 282)(82, 250, 124, 292)(83, 251, 116, 284)(85, 253, 118, 286)(87, 255, 121, 289)(88, 256, 120, 288)(90, 258, 127, 295)(92, 260, 129, 297)(94, 262, 132, 300)(96, 264, 134, 302)(98, 266, 137, 305)(100, 268, 139, 307)(102, 270, 141, 309)(104, 272, 143, 311)(106, 274, 145, 313)(108, 276, 147, 315)(110, 278, 149, 317)(112, 280, 151, 319)(115, 283, 161, 329)(119, 287, 165, 333)(122, 290, 159, 327)(123, 291, 157, 325)(125, 293, 155, 323)(126, 294, 153, 321)(128, 296, 162, 330)(130, 298, 167, 335)(131, 299, 164, 332)(133, 301, 166, 334)(135, 303, 163, 331)(136, 304, 168, 336)(138, 306, 160, 328)(140, 308, 158, 326)(142, 310, 156, 324)(144, 312, 154, 322)(146, 314, 150, 318)(148, 316, 152, 320)(337, 505, 339, 507, 344, 512, 340, 508)(338, 506, 341, 509, 347, 515, 342, 510)(343, 511, 349, 517, 345, 513, 350, 518)(346, 514, 351, 519, 348, 516, 352, 520)(353, 521, 357, 525, 354, 522, 358, 526)(355, 523, 359, 527, 356, 524, 360, 528)(361, 529, 365, 533, 362, 530, 366, 534)(363, 531, 367, 535, 364, 532, 368, 536)(369, 537, 373, 541, 370, 538, 374, 542)(371, 539, 397, 565, 372, 540, 399, 567)(375, 543, 402, 570, 382, 550, 404, 572)(376, 544, 406, 574, 385, 553, 408, 576)(377, 545, 409, 577, 378, 546, 405, 573)(379, 547, 412, 580, 380, 548, 401, 569)(381, 549, 415, 583, 383, 551, 417, 585)(384, 552, 420, 588, 386, 554, 422, 590)(387, 555, 425, 593, 388, 556, 427, 595)(389, 557, 429, 597, 390, 558, 431, 599)(391, 559, 433, 601, 392, 560, 435, 603)(393, 561, 437, 605, 394, 562, 439, 607)(395, 563, 441, 609, 396, 564, 443, 611)(398, 566, 445, 613, 400, 568, 447, 615)(403, 571, 450, 618, 418, 586, 452, 620)(407, 575, 454, 622, 423, 591, 456, 624)(410, 578, 457, 625, 411, 579, 453, 621)(413, 581, 460, 628, 414, 582, 449, 617)(416, 584, 463, 631, 419, 587, 465, 633)(421, 589, 468, 636, 424, 592, 470, 638)(426, 594, 473, 641, 428, 596, 475, 643)(430, 598, 477, 645, 432, 600, 479, 647)(434, 602, 481, 649, 436, 604, 483, 651)(438, 606, 485, 653, 440, 608, 487, 655)(442, 610, 489, 657, 444, 612, 491, 659)(446, 614, 493, 661, 448, 616, 495, 663)(451, 619, 498, 666, 466, 634, 500, 668)(455, 623, 502, 670, 471, 639, 504, 672)(458, 626, 499, 667, 459, 627, 501, 669)(461, 629, 503, 671, 462, 630, 497, 665)(464, 632, 496, 664, 467, 635, 494, 662)(469, 637, 492, 660, 472, 640, 490, 658)(474, 642, 486, 654, 476, 644, 488, 656)(478, 646, 482, 650, 480, 648, 484, 652)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 346)(6, 348)(7, 339)(8, 347)(9, 340)(10, 341)(11, 344)(12, 342)(13, 353)(14, 354)(15, 355)(16, 356)(17, 349)(18, 350)(19, 351)(20, 352)(21, 361)(22, 362)(23, 363)(24, 364)(25, 357)(26, 358)(27, 359)(28, 360)(29, 369)(30, 370)(31, 371)(32, 372)(33, 365)(34, 366)(35, 367)(36, 368)(37, 380)(38, 379)(39, 401)(40, 405)(41, 399)(42, 397)(43, 374)(44, 373)(45, 402)(46, 412)(47, 404)(48, 406)(49, 409)(50, 408)(51, 415)(52, 417)(53, 420)(54, 422)(55, 425)(56, 427)(57, 429)(58, 431)(59, 433)(60, 435)(61, 378)(62, 437)(63, 377)(64, 439)(65, 375)(66, 381)(67, 449)(68, 383)(69, 376)(70, 384)(71, 453)(72, 386)(73, 385)(74, 447)(75, 445)(76, 382)(77, 443)(78, 441)(79, 387)(80, 450)(81, 388)(82, 460)(83, 452)(84, 389)(85, 454)(86, 390)(87, 457)(88, 456)(89, 391)(90, 463)(91, 392)(92, 465)(93, 393)(94, 468)(95, 394)(96, 470)(97, 395)(98, 473)(99, 396)(100, 475)(101, 398)(102, 477)(103, 400)(104, 479)(105, 414)(106, 481)(107, 413)(108, 483)(109, 411)(110, 485)(111, 410)(112, 487)(113, 403)(114, 416)(115, 497)(116, 419)(117, 407)(118, 421)(119, 501)(120, 424)(121, 423)(122, 495)(123, 493)(124, 418)(125, 491)(126, 489)(127, 426)(128, 498)(129, 428)(130, 503)(131, 500)(132, 430)(133, 502)(134, 432)(135, 499)(136, 504)(137, 434)(138, 496)(139, 436)(140, 494)(141, 438)(142, 492)(143, 440)(144, 490)(145, 442)(146, 486)(147, 444)(148, 488)(149, 446)(150, 482)(151, 448)(152, 484)(153, 462)(154, 480)(155, 461)(156, 478)(157, 459)(158, 476)(159, 458)(160, 474)(161, 451)(162, 464)(163, 471)(164, 467)(165, 455)(166, 469)(167, 466)(168, 472)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 168, 2, 168 ), ( 2, 168, 2, 168, 2, 168, 2, 168 ) }
Outer automorphisms :: reflexible
Dual of E21.2892
Graph:: bipartite
	v = 126 e = 336 f = 170
	degree seq :: [ 4^84, 8^42 ]

E21.2890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 84})
Quotient :: dipole
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|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^-42 * Y1^-1 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 13, 181, 8, 176)(5, 173, 11, 179, 14, 182, 7, 175)(10, 178, 16, 184, 21, 189, 17, 185)(12, 180, 15, 183, 22, 190, 19, 187)(18, 186, 25, 193, 29, 197, 24, 192)(20, 188, 27, 195, 30, 198, 23, 191)(26, 194, 32, 200, 37, 205, 33, 201)(28, 196, 31, 199, 38, 206, 35, 203)(34, 202, 41, 209, 45, 213, 40, 208)(36, 204, 43, 211, 46, 214, 39, 207)(42, 210, 48, 216, 53, 221, 49, 217)(44, 212, 47, 215, 54, 222, 51, 219)(50, 218, 57, 225, 61, 229, 56, 224)(52, 220, 59, 227, 62, 230, 55, 223)(58, 226, 64, 232, 101, 269, 65, 233)(60, 228, 63, 231, 114, 282, 67, 235)(66, 234, 116, 284, 96, 264, 166, 334)(68, 236, 92, 260, 164, 332, 91, 259)(69, 237, 119, 287, 74, 242, 121, 289)(70, 238, 122, 290, 72, 240, 124, 292)(71, 239, 125, 293, 81, 249, 127, 295)(73, 241, 129, 297, 82, 250, 131, 299)(75, 243, 133, 301, 79, 247, 135, 303)(76, 244, 136, 304, 77, 245, 138, 306)(78, 246, 140, 308, 88, 256, 142, 310)(80, 248, 144, 312, 89, 257, 146, 314)(83, 251, 149, 317, 87, 255, 151, 319)(84, 252, 152, 320, 85, 253, 154, 322)(86, 254, 156, 324, 95, 263, 158, 326)(90, 258, 162, 330, 94, 262, 157, 325)(93, 261, 159, 327, 100, 268, 150, 318)(97, 265, 141, 309, 99, 267, 160, 328)(98, 266, 134, 302, 105, 273, 143, 311)(102, 270, 147, 315, 104, 272, 126, 294)(103, 271, 128, 296, 109, 277, 123, 291)(106, 274, 120, 288, 108, 276, 132, 300)(107, 275, 137, 305, 113, 281, 139, 307)(110, 278, 148, 316, 112, 280, 130, 298)(111, 279, 155, 323, 168, 336, 153, 321)(115, 283, 145, 313, 118, 286, 161, 329)(117, 285, 163, 331, 167, 335, 165, 333)(337, 505, 339, 507, 346, 514, 354, 522, 362, 530, 370, 538, 378, 546, 386, 554, 394, 562, 402, 570, 416, 584, 409, 577, 405, 573, 407, 575, 414, 582, 422, 590, 429, 597, 434, 602, 439, 607, 443, 611, 447, 615, 453, 621, 481, 649, 466, 634, 456, 624, 462, 630, 477, 645, 493, 661, 485, 653, 471, 639, 458, 626, 474, 642, 488, 656, 500, 668, 450, 618, 398, 566, 390, 558, 382, 550, 374, 542, 366, 534, 358, 526, 350, 518, 342, 510, 349, 517, 357, 525, 365, 533, 373, 541, 381, 549, 389, 557, 397, 565, 437, 605, 432, 600, 425, 593, 418, 586, 410, 578, 417, 585, 424, 592, 431, 599, 436, 604, 441, 609, 445, 613, 449, 617, 504, 672, 503, 671, 497, 665, 484, 652, 468, 636, 483, 651, 496, 664, 498, 666, 487, 655, 469, 637, 460, 628, 472, 640, 490, 658, 404, 572, 396, 564, 388, 556, 380, 548, 372, 540, 364, 532, 356, 524, 348, 516, 341, 509)(338, 506, 343, 511, 351, 519, 359, 527, 367, 535, 375, 543, 383, 551, 391, 559, 399, 567, 427, 595, 420, 588, 412, 580, 406, 574, 411, 579, 419, 587, 426, 594, 433, 601, 438, 606, 442, 610, 446, 614, 451, 619, 499, 667, 489, 657, 473, 641, 459, 627, 470, 638, 486, 654, 492, 660, 478, 646, 461, 629, 457, 625, 465, 633, 482, 650, 452, 620, 401, 569, 393, 561, 385, 553, 377, 545, 369, 537, 361, 529, 353, 521, 345, 513, 340, 508, 347, 515, 355, 523, 363, 531, 371, 539, 379, 547, 387, 555, 395, 563, 403, 571, 428, 596, 421, 589, 413, 581, 408, 576, 415, 583, 423, 591, 430, 598, 435, 603, 440, 608, 444, 612, 448, 616, 454, 622, 501, 669, 491, 659, 475, 643, 464, 632, 479, 647, 495, 663, 494, 662, 476, 644, 463, 631, 455, 623, 467, 635, 480, 648, 502, 670, 400, 568, 392, 560, 384, 552, 376, 544, 368, 536, 360, 528, 352, 520, 344, 512)
	L = (1, 339)(2, 343)(3, 346)(4, 347)(5, 337)(6, 349)(7, 351)(8, 338)(9, 340)(10, 354)(11, 355)(12, 341)(13, 357)(14, 342)(15, 359)(16, 344)(17, 345)(18, 362)(19, 363)(20, 348)(21, 365)(22, 350)(23, 367)(24, 352)(25, 353)(26, 370)(27, 371)(28, 356)(29, 373)(30, 358)(31, 375)(32, 360)(33, 361)(34, 378)(35, 379)(36, 364)(37, 381)(38, 366)(39, 383)(40, 368)(41, 369)(42, 386)(43, 387)(44, 372)(45, 389)(46, 374)(47, 391)(48, 376)(49, 377)(50, 394)(51, 395)(52, 380)(53, 397)(54, 382)(55, 399)(56, 384)(57, 385)(58, 402)(59, 403)(60, 388)(61, 437)(62, 390)(63, 427)(64, 392)(65, 393)(66, 416)(67, 428)(68, 396)(69, 407)(70, 411)(71, 414)(72, 415)(73, 405)(74, 417)(75, 419)(76, 406)(77, 408)(78, 422)(79, 423)(80, 409)(81, 424)(82, 410)(83, 426)(84, 412)(85, 413)(86, 429)(87, 430)(88, 431)(89, 418)(90, 433)(91, 420)(92, 421)(93, 434)(94, 435)(95, 436)(96, 425)(97, 438)(98, 439)(99, 440)(100, 441)(101, 432)(102, 442)(103, 443)(104, 444)(105, 445)(106, 446)(107, 447)(108, 448)(109, 449)(110, 451)(111, 453)(112, 454)(113, 504)(114, 398)(115, 499)(116, 401)(117, 481)(118, 501)(119, 467)(120, 462)(121, 465)(122, 474)(123, 470)(124, 472)(125, 457)(126, 477)(127, 455)(128, 479)(129, 482)(130, 456)(131, 480)(132, 483)(133, 460)(134, 486)(135, 458)(136, 490)(137, 459)(138, 488)(139, 464)(140, 463)(141, 493)(142, 461)(143, 495)(144, 502)(145, 466)(146, 452)(147, 496)(148, 468)(149, 471)(150, 492)(151, 469)(152, 500)(153, 473)(154, 404)(155, 475)(156, 478)(157, 485)(158, 476)(159, 494)(160, 498)(161, 484)(162, 487)(163, 489)(164, 450)(165, 491)(166, 400)(167, 497)(168, 503)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E21.2891
Graph:: bipartite
	v = 44 e = 336 f = 252
	degree seq :: [ 8^42, 168^2 ]

E21.2891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 84})
Quotient :: dipole
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|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, Y3^39 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^84 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506)(339, 507, 343, 511)(340, 508, 345, 513)(341, 509, 347, 515)(342, 510, 349, 517)(344, 512, 350, 518)(346, 514, 348, 516)(351, 519, 356, 524)(352, 520, 359, 527)(353, 521, 361, 529)(354, 522, 357, 525)(355, 523, 363, 531)(358, 526, 365, 533)(360, 528, 367, 535)(362, 530, 368, 536)(364, 532, 366, 534)(369, 537, 375, 543)(370, 538, 377, 545)(371, 539, 373, 541)(372, 540, 379, 547)(374, 542, 381, 549)(376, 544, 383, 551)(378, 546, 384, 552)(380, 548, 382, 550)(385, 553, 391, 559)(386, 554, 393, 561)(387, 555, 389, 557)(388, 556, 395, 563)(390, 558, 397, 565)(392, 560, 399, 567)(394, 562, 400, 568)(396, 564, 398, 566)(401, 569, 428, 596)(402, 570, 447, 615)(403, 571, 449, 617)(404, 572, 419, 587)(405, 573, 451, 619)(406, 574, 453, 621)(407, 575, 455, 623)(408, 576, 457, 625)(409, 577, 459, 627)(410, 578, 461, 629)(411, 579, 463, 631)(412, 580, 465, 633)(413, 581, 467, 635)(414, 582, 469, 637)(415, 583, 471, 639)(416, 584, 473, 641)(417, 585, 475, 643)(418, 586, 477, 645)(420, 588, 480, 648)(421, 589, 482, 650)(422, 590, 484, 652)(423, 591, 486, 654)(424, 592, 488, 656)(425, 593, 490, 658)(426, 594, 492, 660)(427, 595, 494, 662)(429, 597, 497, 665)(430, 598, 499, 667)(431, 599, 501, 669)(432, 600, 502, 670)(433, 601, 503, 671)(434, 602, 504, 672)(435, 603, 489, 657)(436, 604, 493, 661)(437, 605, 481, 649)(438, 606, 498, 666)(439, 607, 483, 651)(440, 608, 500, 668)(441, 609, 491, 659)(442, 610, 495, 663)(443, 611, 460, 628)(444, 612, 466, 634)(445, 613, 456, 624)(446, 614, 472, 640)(448, 616, 478, 646)(450, 618, 474, 642)(452, 620, 479, 647)(454, 622, 487, 655)(458, 626, 462, 630)(464, 632, 470, 638)(468, 636, 496, 664)(476, 644, 485, 653)
	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, 362)(18, 363)(19, 346)(20, 349)(21, 347)(22, 366)(23, 367)(24, 350)(25, 352)(26, 370)(27, 371)(28, 355)(29, 357)(30, 374)(31, 375)(32, 360)(33, 361)(34, 378)(35, 379)(36, 364)(37, 365)(38, 382)(39, 383)(40, 368)(41, 369)(42, 386)(43, 387)(44, 372)(45, 373)(46, 390)(47, 391)(48, 376)(49, 377)(50, 394)(51, 395)(52, 380)(53, 381)(54, 398)(55, 399)(56, 384)(57, 385)(58, 402)(59, 403)(60, 388)(61, 389)(62, 417)(63, 428)(64, 392)(65, 393)(66, 408)(67, 419)(68, 396)(69, 407)(70, 409)(71, 412)(72, 405)(73, 415)(74, 406)(75, 418)(76, 420)(77, 421)(78, 422)(79, 424)(80, 425)(81, 410)(82, 413)(83, 411)(84, 426)(85, 427)(86, 416)(87, 414)(88, 429)(89, 430)(90, 431)(91, 432)(92, 423)(93, 433)(94, 434)(95, 435)(96, 436)(97, 437)(98, 438)(99, 439)(100, 440)(101, 441)(102, 442)(103, 443)(104, 444)(105, 445)(106, 446)(107, 448)(108, 450)(109, 476)(110, 496)(111, 401)(112, 458)(113, 397)(114, 479)(115, 469)(116, 456)(117, 463)(118, 460)(119, 484)(120, 466)(121, 486)(122, 452)(123, 477)(124, 472)(125, 404)(126, 454)(127, 475)(128, 478)(129, 473)(130, 481)(131, 453)(132, 483)(133, 447)(134, 485)(135, 467)(136, 489)(137, 451)(138, 491)(139, 449)(140, 462)(141, 461)(142, 468)(143, 464)(144, 490)(145, 493)(146, 459)(147, 495)(148, 457)(149, 474)(150, 400)(151, 470)(152, 482)(153, 498)(154, 455)(155, 500)(156, 499)(157, 497)(158, 471)(159, 501)(160, 487)(161, 494)(162, 492)(163, 465)(164, 503)(165, 504)(166, 488)(167, 502)(168, 480)(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) :: { ( 8, 168 ), ( 8, 168, 8, 168 ) }
Outer automorphisms :: reflexible
Dual of E21.2890
Graph:: simple bipartite
	v = 252 e = 336 f = 44
	degree seq :: [ 2^168, 4^84 ]

E21.2892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 84})
Quotient :: dipole
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^19 * Y3 * Y1^-21 ]
Map::
	R = (1, 169, 2, 170, 5, 173, 11, 179, 20, 188, 29, 197, 37, 205, 45, 213, 53, 221, 61, 229, 85, 253, 82, 250, 86, 254, 90, 258, 94, 262, 98, 266, 102, 270, 107, 275, 128, 296, 118, 286, 112, 280, 114, 282, 120, 288, 130, 298, 140, 308, 150, 318, 158, 326, 163, 331, 153, 321, 147, 315, 133, 301, 126, 294, 115, 283, 121, 289, 109, 277, 66, 234, 58, 226, 50, 218, 42, 210, 34, 202, 26, 194, 16, 184, 23, 191, 17, 185, 24, 192, 32, 200, 40, 208, 48, 216, 56, 224, 64, 232, 78, 246, 72, 240, 69, 237, 70, 238, 73, 241, 79, 247, 84, 252, 89, 257, 93, 261, 97, 265, 101, 269, 106, 274, 142, 310, 136, 304, 144, 312, 152, 320, 160, 328, 166, 334, 167, 335, 161, 329, 155, 323, 145, 313, 137, 305, 123, 291, 131, 299, 68, 236, 60, 228, 52, 220, 44, 212, 36, 204, 28, 196, 19, 187, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 25, 193, 33, 201, 41, 209, 49, 217, 57, 225, 65, 233, 74, 242, 80, 248, 77, 245, 83, 251, 88, 256, 92, 260, 96, 264, 100, 268, 104, 272, 110, 278, 125, 293, 116, 284, 124, 292, 134, 302, 146, 314, 154, 322, 162, 330, 157, 325, 165, 333, 139, 307, 151, 319, 119, 287, 135, 303, 111, 279, 105, 273, 63, 231, 54, 222, 47, 215, 38, 206, 31, 199, 21, 189, 14, 182, 6, 174, 13, 181, 9, 177, 18, 186, 27, 195, 35, 203, 43, 211, 51, 219, 59, 227, 67, 235, 76, 244, 71, 239, 75, 243, 81, 249, 87, 255, 91, 259, 95, 263, 99, 267, 103, 271, 108, 276, 122, 290, 132, 300, 127, 295, 138, 306, 148, 316, 156, 324, 164, 332, 168, 336, 149, 317, 159, 327, 129, 297, 143, 311, 113, 281, 141, 309, 117, 285, 62, 230, 55, 223, 46, 214, 39, 207, 30, 198, 22, 190, 12, 180, 8, 176)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 342)(3, 337)(4, 345)(5, 348)(6, 338)(7, 352)(8, 353)(9, 340)(10, 351)(11, 357)(12, 341)(13, 359)(14, 360)(15, 346)(16, 343)(17, 344)(18, 362)(19, 363)(20, 366)(21, 347)(22, 368)(23, 349)(24, 350)(25, 370)(26, 354)(27, 355)(28, 369)(29, 374)(30, 356)(31, 376)(32, 358)(33, 364)(34, 361)(35, 378)(36, 379)(37, 382)(38, 365)(39, 384)(40, 367)(41, 386)(42, 371)(43, 372)(44, 385)(45, 390)(46, 373)(47, 392)(48, 375)(49, 380)(50, 377)(51, 394)(52, 395)(53, 398)(54, 381)(55, 400)(56, 383)(57, 402)(58, 387)(59, 388)(60, 401)(61, 441)(62, 389)(63, 414)(64, 391)(65, 396)(66, 393)(67, 445)(68, 412)(69, 447)(70, 449)(71, 451)(72, 453)(73, 455)(74, 457)(75, 459)(76, 404)(77, 462)(78, 399)(79, 465)(80, 467)(81, 469)(82, 471)(83, 473)(84, 475)(85, 477)(86, 479)(87, 481)(88, 483)(89, 485)(90, 487)(91, 489)(92, 491)(93, 493)(94, 495)(95, 497)(96, 499)(97, 500)(98, 501)(99, 494)(100, 503)(101, 490)(102, 504)(103, 502)(104, 486)(105, 397)(106, 484)(107, 498)(108, 476)(109, 403)(110, 496)(111, 405)(112, 474)(113, 406)(114, 460)(115, 407)(116, 480)(117, 408)(118, 482)(119, 409)(120, 468)(121, 410)(122, 488)(123, 411)(124, 450)(125, 466)(126, 413)(127, 472)(128, 492)(129, 415)(130, 461)(131, 416)(132, 456)(133, 417)(134, 478)(135, 418)(136, 463)(137, 419)(138, 448)(139, 420)(140, 444)(141, 421)(142, 470)(143, 422)(144, 452)(145, 423)(146, 454)(147, 424)(148, 442)(149, 425)(150, 440)(151, 426)(152, 458)(153, 427)(154, 437)(155, 428)(156, 464)(157, 429)(158, 435)(159, 430)(160, 446)(161, 431)(162, 443)(163, 432)(164, 433)(165, 434)(166, 439)(167, 436)(168, 438)(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, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E21.2889
Graph:: simple bipartite
	v = 170 e = 336 f = 126
	degree seq :: [ 2^168, 168^2 ]

E21.2893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 84})
Quotient :: dipole
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|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, Y2^19 * Y1 * Y2^-23 * Y1 ]
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, 20, 188)(16, 184, 23, 191)(17, 185, 25, 193)(18, 186, 21, 189)(19, 187, 27, 195)(22, 190, 29, 197)(24, 192, 31, 199)(26, 194, 32, 200)(28, 196, 30, 198)(33, 201, 39, 207)(34, 202, 41, 209)(35, 203, 37, 205)(36, 204, 43, 211)(38, 206, 45, 213)(40, 208, 47, 215)(42, 210, 48, 216)(44, 212, 46, 214)(49, 217, 55, 223)(50, 218, 57, 225)(51, 219, 53, 221)(52, 220, 59, 227)(54, 222, 61, 229)(56, 224, 63, 231)(58, 226, 64, 232)(60, 228, 62, 230)(65, 233, 103, 271)(66, 234, 69, 237)(67, 235, 73, 241)(68, 236, 107, 275)(70, 238, 101, 269)(71, 239, 105, 273)(72, 240, 109, 277)(74, 242, 110, 278)(75, 243, 111, 279)(76, 244, 112, 280)(77, 245, 113, 281)(78, 246, 114, 282)(79, 247, 115, 283)(80, 248, 116, 284)(81, 249, 117, 285)(82, 250, 118, 286)(83, 251, 119, 287)(84, 252, 120, 288)(85, 253, 121, 289)(86, 254, 122, 290)(87, 255, 123, 291)(88, 256, 124, 292)(89, 257, 125, 293)(90, 258, 126, 294)(91, 259, 127, 295)(92, 260, 128, 296)(93, 261, 129, 297)(94, 262, 130, 298)(95, 263, 131, 299)(96, 264, 133, 301)(97, 265, 134, 302)(98, 266, 135, 303)(99, 267, 136, 304)(100, 268, 138, 306)(102, 270, 141, 309)(104, 272, 142, 310)(106, 274, 145, 313)(108, 276, 146, 314)(132, 300, 168, 336)(137, 305, 167, 335)(139, 307, 166, 334)(140, 308, 165, 333)(143, 311, 163, 331)(144, 312, 164, 332)(147, 315, 161, 329)(148, 316, 162, 330)(149, 317, 160, 328)(150, 318, 159, 327)(151, 319, 158, 326)(152, 320, 157, 325)(153, 321, 155, 323)(154, 322, 156, 324)(337, 505, 339, 507, 344, 512, 353, 521, 362, 530, 370, 538, 378, 546, 386, 554, 394, 562, 402, 570, 441, 609, 446, 614, 450, 618, 455, 623, 459, 627, 463, 631, 467, 635, 472, 640, 481, 649, 499, 667, 496, 664, 491, 659, 488, 656, 483, 651, 476, 644, 438, 606, 436, 604, 429, 597, 428, 596, 421, 589, 420, 588, 412, 580, 411, 579, 406, 574, 409, 577, 397, 565, 389, 557, 381, 549, 373, 541, 365, 533, 357, 525, 347, 515, 356, 524, 349, 517, 359, 527, 367, 535, 375, 543, 383, 551, 391, 559, 399, 567, 439, 607, 452, 620, 449, 617, 454, 622, 458, 626, 462, 630, 466, 634, 471, 639, 478, 646, 504, 672, 503, 671, 500, 668, 495, 663, 492, 660, 487, 655, 484, 652, 475, 643, 444, 612, 433, 601, 432, 600, 425, 593, 424, 592, 417, 585, 415, 583, 408, 576, 404, 572, 396, 564, 388, 556, 380, 548, 372, 540, 364, 532, 355, 523, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 358, 526, 366, 534, 374, 542, 382, 550, 390, 558, 398, 566, 437, 605, 445, 613, 448, 616, 453, 621, 457, 625, 461, 629, 465, 633, 470, 638, 477, 645, 502, 670, 497, 665, 494, 662, 489, 657, 486, 654, 479, 647, 473, 641, 435, 603, 440, 608, 427, 595, 430, 598, 419, 587, 422, 590, 410, 578, 413, 581, 405, 573, 401, 569, 393, 561, 385, 553, 377, 545, 369, 537, 361, 529, 352, 520, 343, 511, 351, 519, 345, 513, 354, 522, 363, 531, 371, 539, 379, 547, 387, 555, 395, 563, 403, 571, 443, 611, 447, 615, 451, 619, 456, 624, 460, 628, 464, 632, 469, 637, 474, 642, 482, 650, 501, 669, 498, 666, 493, 661, 490, 658, 485, 653, 480, 648, 442, 610, 468, 636, 431, 599, 434, 602, 423, 591, 426, 594, 414, 582, 418, 586, 407, 575, 416, 584, 400, 568, 392, 560, 384, 552, 376, 544, 368, 536, 360, 528, 350, 518, 342, 510)
	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, 356)(16, 359)(17, 361)(18, 357)(19, 363)(20, 351)(21, 354)(22, 365)(23, 352)(24, 367)(25, 353)(26, 368)(27, 355)(28, 366)(29, 358)(30, 364)(31, 360)(32, 362)(33, 375)(34, 377)(35, 373)(36, 379)(37, 371)(38, 381)(39, 369)(40, 383)(41, 370)(42, 384)(43, 372)(44, 382)(45, 374)(46, 380)(47, 376)(48, 378)(49, 391)(50, 393)(51, 389)(52, 395)(53, 387)(54, 397)(55, 385)(56, 399)(57, 386)(58, 400)(59, 388)(60, 398)(61, 390)(62, 396)(63, 392)(64, 394)(65, 439)(66, 405)(67, 409)(68, 443)(69, 402)(70, 437)(71, 441)(72, 445)(73, 403)(74, 446)(75, 447)(76, 448)(77, 449)(78, 450)(79, 451)(80, 452)(81, 453)(82, 454)(83, 455)(84, 456)(85, 457)(86, 458)(87, 459)(88, 460)(89, 461)(90, 462)(91, 463)(92, 464)(93, 465)(94, 466)(95, 467)(96, 469)(97, 470)(98, 471)(99, 472)(100, 474)(101, 406)(102, 477)(103, 401)(104, 478)(105, 407)(106, 481)(107, 404)(108, 482)(109, 408)(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, 504)(133, 432)(134, 433)(135, 434)(136, 435)(137, 503)(138, 436)(139, 502)(140, 501)(141, 438)(142, 440)(143, 499)(144, 500)(145, 442)(146, 444)(147, 497)(148, 498)(149, 496)(150, 495)(151, 494)(152, 493)(153, 491)(154, 492)(155, 489)(156, 490)(157, 488)(158, 487)(159, 486)(160, 485)(161, 483)(162, 484)(163, 479)(164, 480)(165, 476)(166, 475)(167, 473)(168, 468)(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, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E21.2894
Graph:: bipartite
	v = 86 e = 336 f = 210
	degree seq :: [ 4^84, 168^2 ]

E21.2894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 84})
Quotient :: dipole
Aut^+ = C4 x D42 (small group id <168, 35>)
Aut   = D8 x D42 (small group id <336, 198>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^41 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^84 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 13, 181, 8, 176)(5, 173, 11, 179, 14, 182, 7, 175)(10, 178, 16, 184, 21, 189, 17, 185)(12, 180, 15, 183, 22, 190, 19, 187)(18, 186, 25, 193, 29, 197, 24, 192)(20, 188, 27, 195, 30, 198, 23, 191)(26, 194, 32, 200, 37, 205, 33, 201)(28, 196, 31, 199, 38, 206, 35, 203)(34, 202, 41, 209, 45, 213, 40, 208)(36, 204, 43, 211, 46, 214, 39, 207)(42, 210, 48, 216, 53, 221, 49, 217)(44, 212, 47, 215, 54, 222, 51, 219)(50, 218, 57, 225, 61, 229, 56, 224)(52, 220, 59, 227, 62, 230, 55, 223)(58, 226, 64, 232, 73, 241, 65, 233)(60, 228, 63, 231, 102, 270, 67, 235)(66, 234, 104, 272, 69, 237, 107, 275)(68, 236, 70, 238, 109, 277, 72, 240)(71, 239, 111, 279, 77, 245, 113, 281)(74, 242, 116, 284, 76, 244, 118, 286)(75, 243, 119, 287, 81, 249, 121, 289)(78, 246, 124, 292, 80, 248, 126, 294)(79, 247, 127, 295, 85, 253, 129, 297)(82, 250, 132, 300, 84, 252, 134, 302)(83, 251, 135, 303, 89, 257, 137, 305)(86, 254, 140, 308, 88, 256, 142, 310)(87, 255, 143, 311, 93, 261, 145, 313)(90, 258, 148, 316, 92, 260, 150, 318)(91, 259, 151, 319, 97, 265, 153, 321)(94, 262, 156, 324, 96, 264, 158, 326)(95, 263, 159, 327, 101, 269, 161, 329)(98, 266, 164, 332, 100, 268, 166, 334)(99, 267, 167, 335, 115, 283, 165, 333)(103, 271, 160, 328, 106, 274, 168, 336)(105, 273, 157, 325, 108, 276, 162, 330)(110, 278, 152, 320, 114, 282, 163, 331)(112, 280, 149, 317, 123, 291, 154, 322)(117, 285, 155, 323, 122, 290, 144, 312)(120, 288, 146, 314, 131, 299, 141, 309)(125, 293, 136, 304, 130, 298, 147, 315)(128, 296, 133, 301, 139, 307, 138, 306)(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, 349)(7, 351)(8, 338)(9, 340)(10, 354)(11, 355)(12, 341)(13, 357)(14, 342)(15, 359)(16, 344)(17, 345)(18, 362)(19, 363)(20, 348)(21, 365)(22, 350)(23, 367)(24, 352)(25, 353)(26, 370)(27, 371)(28, 356)(29, 373)(30, 358)(31, 375)(32, 360)(33, 361)(34, 378)(35, 379)(36, 364)(37, 381)(38, 366)(39, 383)(40, 368)(41, 369)(42, 386)(43, 387)(44, 372)(45, 389)(46, 374)(47, 391)(48, 376)(49, 377)(50, 394)(51, 395)(52, 380)(53, 397)(54, 382)(55, 399)(56, 384)(57, 385)(58, 402)(59, 403)(60, 388)(61, 409)(62, 390)(63, 408)(64, 392)(65, 393)(66, 413)(67, 406)(68, 396)(69, 407)(70, 410)(71, 411)(72, 412)(73, 405)(74, 414)(75, 415)(76, 416)(77, 417)(78, 418)(79, 419)(80, 420)(81, 421)(82, 422)(83, 423)(84, 424)(85, 425)(86, 426)(87, 427)(88, 428)(89, 429)(90, 430)(91, 431)(92, 432)(93, 433)(94, 434)(95, 435)(96, 436)(97, 437)(98, 439)(99, 441)(100, 442)(101, 451)(102, 398)(103, 450)(104, 401)(105, 459)(106, 446)(107, 400)(108, 448)(109, 438)(110, 453)(111, 440)(112, 456)(113, 443)(114, 458)(115, 444)(116, 404)(117, 461)(118, 445)(119, 449)(120, 464)(121, 447)(122, 466)(123, 467)(124, 454)(125, 469)(126, 452)(127, 457)(128, 472)(129, 455)(130, 474)(131, 475)(132, 462)(133, 477)(134, 460)(135, 465)(136, 480)(137, 463)(138, 482)(139, 483)(140, 470)(141, 485)(142, 468)(143, 473)(144, 488)(145, 471)(146, 490)(147, 491)(148, 478)(149, 493)(150, 476)(151, 481)(152, 496)(153, 479)(154, 498)(155, 499)(156, 486)(157, 501)(158, 484)(159, 489)(160, 502)(161, 487)(162, 503)(163, 504)(164, 494)(165, 495)(166, 492)(167, 497)(168, 500)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 168 ), ( 4, 168, 4, 168, 4, 168, 4, 168 ) }
Outer automorphisms :: reflexible
Dual of E21.2893
Graph:: simple bipartite
	v = 210 e = 336 f = 86
	degree seq :: [ 2^168, 8^42 ]

E21.2895 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 44})
Quotient :: regular
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^44 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 78, 82, 86, 90, 94, 99, 103, 105, 107, 112, 118, 126, 134, 142, 150, 158, 175, 173, 163, 153, 147, 137, 131, 121, 115, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 73, 76, 80, 84, 88, 92, 96, 102, 108, 114, 122, 130, 138, 146, 154, 162, 174, 169, 157, 165, 141, 151, 125, 135, 111, 119, 104, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 72, 75, 79, 83, 87, 91, 95, 100, 110, 116, 124, 132, 140, 148, 156, 164, 172, 176, 167, 149, 159, 133, 143, 117, 127, 106, 97, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 69, 70, 71, 74, 77, 81, 85, 89, 93, 98, 120, 128, 136, 144, 152, 160, 166, 168, 170, 171, 161, 155, 145, 139, 129, 123, 113, 109, 101, 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, 97)(63, 69)(67, 101)(68, 72)(70, 104)(71, 106)(73, 109)(74, 111)(75, 113)(76, 115)(77, 117)(78, 119)(79, 121)(80, 123)(81, 125)(82, 127)(83, 129)(84, 131)(85, 133)(86, 135)(87, 137)(88, 139)(89, 141)(90, 143)(91, 145)(92, 147)(93, 149)(94, 151)(95, 153)(96, 155)(98, 157)(99, 159)(100, 161)(102, 163)(103, 165)(105, 167)(107, 169)(108, 171)(110, 173)(112, 172)(114, 175)(116, 170)(118, 162)(120, 176)(122, 168)(124, 158)(126, 156)(128, 174)(130, 150)(132, 166)(134, 146)(136, 164)(138, 160)(140, 142)(144, 154)(148, 152)
	local type(s) :: { ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2896
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 88 f = 44
	degree seq :: [ 44^4 ]

E21.2896 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 44})
Quotient :: regular
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^44 ]
Map:: polytopal 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, 50, 38, 49)(39, 67, 43, 69)(40, 70, 42, 72)(41, 71, 48, 74)(44, 75, 47, 68)(45, 64, 46, 63)(51, 78, 52, 73)(53, 77, 54, 76)(55, 80, 56, 79)(57, 82, 58, 81)(59, 84, 60, 83)(61, 86, 62, 85)(65, 88, 66, 87)(89, 91, 90, 92)(93, 100, 94, 99)(95, 120, 96, 119)(97, 123, 98, 124)(101, 127, 102, 128)(103, 129, 104, 130)(105, 126, 106, 125)(107, 132, 108, 131)(109, 134, 110, 133)(111, 136, 112, 135)(113, 138, 114, 137)(115, 140, 116, 139)(117, 142, 118, 141)(121, 144, 122, 143)(145, 147, 146, 148)(149, 156, 150, 155)(151, 176, 152, 175)(153, 172, 154, 171)(157, 174, 158, 173)(159, 170, 160, 169)(161, 167, 162, 168)(163, 165, 164, 166)
	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, 63)(36, 64)(39, 68)(40, 71)(41, 73)(42, 74)(43, 75)(44, 76)(45, 67)(46, 69)(47, 77)(48, 78)(49, 70)(50, 72)(51, 79)(52, 80)(53, 81)(54, 82)(55, 83)(56, 84)(57, 85)(58, 86)(59, 87)(60, 88)(61, 89)(62, 90)(65, 93)(66, 94)(91, 119)(92, 120)(95, 123)(96, 124)(97, 125)(98, 126)(99, 127)(100, 128)(101, 129)(102, 130)(103, 131)(104, 132)(105, 133)(106, 134)(107, 135)(108, 136)(109, 137)(110, 138)(111, 139)(112, 140)(113, 141)(114, 142)(115, 143)(116, 144)(117, 145)(118, 146)(121, 149)(122, 150)(147, 175)(148, 176)(151, 172)(152, 171)(153, 168)(154, 167)(155, 174)(156, 173)(157, 170)(158, 169)(159, 166)(160, 165)(161, 163)(162, 164)
	local type(s) :: { ( 44^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2895
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 44 e = 88 f = 4
	degree seq :: [ 4^44 ]

E21.2897 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 44})
Quotient :: edge
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^44 ]
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, 57, 36, 59)(39, 61, 42, 63)(40, 64, 45, 66)(41, 67, 43, 69)(44, 72, 46, 74)(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, 70, 101)(65, 105, 75, 104)(68, 108, 71, 107)(73, 113, 76, 112)(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, 110, 142)(106, 144, 115, 145)(109, 147, 111, 148)(114, 152, 116, 153)(119, 157, 120, 158)(123, 161, 124, 162)(127, 165, 128, 166)(131, 169, 132, 170)(135, 173, 136, 174)(139, 176, 140, 175)(143, 172, 150, 171)(146, 168, 155, 167)(149, 163, 151, 164)(154, 159, 156, 160)(177, 178)(179, 183)(180, 185)(181, 186)(182, 188)(184, 187)(189, 193)(190, 194)(191, 195)(192, 196)(197, 201)(198, 202)(199, 203)(200, 204)(205, 209)(206, 210)(207, 211)(208, 212)(213, 218)(214, 215)(216, 235)(217, 237)(219, 239)(220, 240)(221, 233)(222, 242)(223, 243)(224, 245)(225, 248)(226, 250)(227, 253)(228, 255)(229, 257)(230, 259)(231, 261)(232, 263)(234, 265)(236, 267)(238, 271)(241, 273)(244, 278)(246, 269)(247, 277)(249, 281)(251, 274)(252, 280)(254, 284)(256, 283)(258, 289)(260, 288)(262, 294)(264, 293)(266, 298)(268, 297)(270, 302)(272, 301)(275, 306)(276, 305)(279, 309)(282, 314)(285, 317)(286, 310)(287, 318)(290, 320)(291, 313)(292, 321)(295, 323)(296, 324)(299, 328)(300, 329)(303, 333)(304, 334)(307, 337)(308, 338)(311, 341)(312, 342)(315, 345)(316, 346)(319, 350)(322, 351)(325, 348)(326, 349)(327, 347)(330, 344)(331, 352)(332, 343)(335, 339)(336, 340)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 88, 88 ), ( 88^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2901
Transitivity :: ET+
Graph:: simple bipartite
	v = 132 e = 176 f = 4
	degree seq :: [ 2^88, 4^44 ]

E21.2898 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 44})
Quotient :: edge
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^44 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 72, 75, 83, 86, 91, 94, 99, 102, 108, 152, 157, 162, 165, 170, 173, 155, 148, 143, 138, 134, 130, 126, 122, 117, 112, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 79, 69, 80, 78, 89, 88, 97, 96, 105, 104, 147, 156, 159, 164, 167, 172, 175, 151, 145, 140, 136, 132, 128, 124, 119, 114, 120, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 71, 74, 73, 85, 84, 93, 92, 101, 100, 142, 110, 154, 160, 163, 168, 171, 176, 149, 144, 139, 135, 131, 127, 123, 118, 113, 109, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 81, 77, 70, 76, 82, 87, 90, 95, 98, 103, 107, 150, 158, 161, 166, 169, 174, 153, 146, 141, 137, 133, 129, 125, 121, 116, 111, 115, 106, 62, 54, 46, 38, 30, 22, 14)(177, 178, 182, 180)(179, 185, 189, 184)(181, 187, 190, 183)(186, 192, 197, 193)(188, 191, 198, 195)(194, 201, 205, 200)(196, 203, 206, 199)(202, 208, 213, 209)(204, 207, 214, 211)(210, 217, 221, 216)(212, 219, 222, 215)(218, 224, 229, 225)(220, 223, 230, 227)(226, 233, 237, 232)(228, 235, 238, 231)(234, 240, 257, 241)(236, 239, 282, 243)(242, 285, 253, 296)(244, 247, 291, 255)(245, 287, 250, 288)(246, 289, 248, 290)(249, 292, 256, 293)(251, 294, 252, 295)(254, 297, 261, 298)(258, 299, 259, 300)(260, 301, 265, 302)(262, 303, 263, 304)(264, 305, 269, 306)(266, 307, 267, 308)(268, 309, 273, 310)(270, 311, 271, 312)(272, 313, 277, 314)(274, 315, 275, 316)(276, 317, 281, 319)(278, 320, 279, 321)(280, 322, 318, 324)(283, 325, 284, 327)(286, 329, 323, 331)(326, 351, 328, 352)(330, 349, 332, 350)(333, 348, 334, 347)(335, 346, 336, 345)(337, 343, 338, 344)(339, 341, 340, 342)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4^4 ), ( 4^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2902
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 176 f = 88
	degree seq :: [ 4^44, 44^4 ]

E21.2899 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 44})
Quotient :: edge
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^44 ]
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, 121)(63, 112)(67, 125)(68, 107)(69, 127)(70, 129)(71, 131)(72, 133)(73, 135)(74, 137)(75, 130)(76, 139)(77, 141)(78, 143)(79, 140)(80, 145)(81, 136)(82, 147)(83, 149)(84, 151)(85, 142)(86, 128)(87, 153)(88, 148)(89, 155)(90, 157)(91, 150)(92, 132)(93, 134)(94, 159)(95, 152)(96, 161)(97, 158)(98, 163)(99, 165)(100, 138)(101, 160)(102, 167)(103, 144)(104, 169)(105, 166)(106, 171)(108, 146)(109, 154)(110, 174)(111, 168)(113, 173)(114, 156)(115, 175)(116, 162)(117, 124)(118, 164)(119, 170)(120, 122)(123, 172)(126, 176)(177, 178, 181, 187, 196, 205, 213, 221, 229, 237, 286, 278, 270, 260, 267, 261, 268, 276, 284, 290, 294, 299, 352, 346, 338, 330, 320, 310, 304, 306, 312, 315, 323, 333, 341, 244, 236, 228, 220, 212, 204, 195, 186, 180)(179, 183, 191, 201, 209, 217, 225, 233, 241, 282, 275, 265, 258, 250, 257, 253, 262, 271, 279, 287, 292, 296, 302, 349, 340, 334, 322, 316, 308, 305, 326, 309, 335, 329, 350, 345, 238, 231, 222, 215, 206, 198, 188, 184)(182, 189, 185, 194, 203, 211, 219, 227, 235, 243, 283, 274, 266, 256, 252, 247, 251, 259, 269, 277, 285, 291, 295, 300, 348, 342, 332, 324, 314, 311, 318, 303, 327, 319, 343, 337, 297, 239, 230, 223, 214, 207, 197, 190)(192, 199, 193, 200, 208, 216, 224, 232, 240, 288, 280, 272, 263, 254, 248, 245, 246, 249, 255, 264, 273, 281, 289, 293, 298, 351, 344, 336, 328, 325, 317, 307, 313, 321, 331, 339, 347, 301, 242, 234, 226, 218, 210, 202)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 8 ), ( 8^44 ) }
Outer automorphisms :: reflexible
Dual of E21.2900
Transitivity :: ET+
Graph:: simple bipartite
	v = 92 e = 176 f = 44
	degree seq :: [ 2^88, 44^4 ]

E21.2900 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 44})
Quotient :: loop
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^44 ]
Map::
	R = (1, 177, 3, 179, 8, 184, 4, 180)(2, 178, 5, 181, 11, 187, 6, 182)(7, 183, 13, 189, 9, 185, 14, 190)(10, 186, 15, 191, 12, 188, 16, 192)(17, 193, 21, 197, 18, 194, 22, 198)(19, 195, 23, 199, 20, 196, 24, 200)(25, 201, 29, 205, 26, 202, 30, 206)(27, 203, 31, 207, 28, 204, 32, 208)(33, 209, 37, 213, 34, 210, 38, 214)(35, 211, 73, 249, 36, 212, 75, 251)(39, 215, 82, 258, 46, 222, 83, 259)(40, 216, 85, 261, 49, 225, 86, 262)(41, 217, 87, 263, 42, 218, 88, 264)(43, 219, 89, 265, 44, 220, 90, 266)(45, 221, 92, 268, 47, 223, 81, 257)(48, 224, 95, 271, 50, 226, 84, 260)(51, 227, 97, 273, 52, 228, 98, 274)(53, 229, 99, 275, 54, 230, 100, 276)(55, 231, 93, 269, 56, 232, 91, 267)(57, 233, 96, 272, 58, 234, 94, 270)(59, 235, 105, 281, 60, 236, 106, 282)(61, 237, 107, 283, 62, 238, 108, 284)(63, 239, 102, 278, 64, 240, 101, 277)(65, 241, 104, 280, 66, 242, 103, 279)(67, 243, 113, 289, 68, 244, 114, 290)(69, 245, 115, 291, 70, 246, 116, 292)(71, 247, 110, 286, 72, 248, 109, 285)(74, 250, 112, 288, 76, 252, 111, 287)(77, 253, 125, 301, 79, 255, 127, 303)(78, 254, 128, 304, 80, 256, 129, 305)(117, 293, 126, 302, 118, 294, 130, 306)(119, 295, 167, 343, 122, 298, 169, 345)(120, 296, 170, 346, 123, 299, 171, 347)(121, 297, 168, 344, 124, 300, 172, 348)(131, 307, 148, 324, 142, 318, 147, 323)(132, 308, 137, 313, 133, 309, 138, 314)(134, 310, 150, 326, 145, 321, 149, 325)(135, 311, 139, 315, 136, 312, 140, 316)(141, 317, 156, 332, 143, 319, 155, 331)(144, 320, 158, 334, 146, 322, 157, 333)(151, 327, 164, 340, 152, 328, 163, 339)(153, 329, 166, 342, 154, 330, 165, 341)(159, 335, 174, 350, 160, 336, 173, 349)(161, 337, 176, 352, 162, 338, 175, 351)
	L = (1, 178)(2, 177)(3, 183)(4, 185)(5, 186)(6, 188)(7, 179)(8, 187)(9, 180)(10, 181)(11, 184)(12, 182)(13, 193)(14, 194)(15, 195)(16, 196)(17, 189)(18, 190)(19, 191)(20, 192)(21, 201)(22, 202)(23, 203)(24, 204)(25, 197)(26, 198)(27, 199)(28, 200)(29, 209)(30, 210)(31, 211)(32, 212)(33, 205)(34, 206)(35, 207)(36, 208)(37, 253)(38, 255)(39, 257)(40, 260)(41, 261)(42, 262)(43, 258)(44, 259)(45, 267)(46, 268)(47, 269)(48, 270)(49, 271)(50, 272)(51, 263)(52, 264)(53, 265)(54, 266)(55, 277)(56, 278)(57, 279)(58, 280)(59, 273)(60, 274)(61, 275)(62, 276)(63, 285)(64, 286)(65, 287)(66, 288)(67, 281)(68, 282)(69, 283)(70, 284)(71, 293)(72, 294)(73, 295)(74, 297)(75, 298)(76, 300)(77, 213)(78, 289)(79, 214)(80, 290)(81, 215)(82, 219)(83, 220)(84, 216)(85, 217)(86, 218)(87, 227)(88, 228)(89, 229)(90, 230)(91, 221)(92, 222)(93, 223)(94, 224)(95, 225)(96, 226)(97, 235)(98, 236)(99, 237)(100, 238)(101, 231)(102, 232)(103, 233)(104, 234)(105, 243)(106, 244)(107, 245)(108, 246)(109, 239)(110, 240)(111, 241)(112, 242)(113, 254)(114, 256)(115, 296)(116, 299)(117, 247)(118, 248)(119, 249)(120, 291)(121, 250)(122, 251)(123, 292)(124, 252)(125, 346)(126, 338)(127, 347)(128, 343)(129, 345)(130, 337)(131, 331)(132, 324)(133, 323)(134, 333)(135, 326)(136, 325)(137, 315)(138, 316)(139, 313)(140, 314)(141, 339)(142, 332)(143, 340)(144, 341)(145, 334)(146, 342)(147, 309)(148, 308)(149, 312)(150, 311)(151, 349)(152, 350)(153, 351)(154, 352)(155, 307)(156, 318)(157, 310)(158, 321)(159, 348)(160, 344)(161, 306)(162, 302)(163, 317)(164, 319)(165, 320)(166, 322)(167, 304)(168, 336)(169, 305)(170, 301)(171, 303)(172, 335)(173, 327)(174, 328)(175, 329)(176, 330)
	local type(s) :: { ( 2, 44, 2, 44, 2, 44, 2, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2899
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 44 e = 176 f = 92
	degree seq :: [ 8^44 ]

E21.2901 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 44})
Quotient :: loop
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^44 ]
Map::
	R = (1, 177, 3, 179, 10, 186, 18, 194, 26, 202, 34, 210, 42, 218, 50, 226, 58, 234, 66, 242, 77, 253, 81, 257, 85, 261, 89, 265, 93, 269, 97, 273, 103, 279, 105, 281, 109, 285, 116, 292, 124, 300, 132, 308, 140, 316, 148, 324, 156, 332, 164, 340, 176, 352, 169, 345, 160, 336, 154, 330, 144, 320, 138, 314, 128, 304, 122, 298, 112, 288, 68, 244, 60, 236, 52, 228, 44, 220, 36, 212, 28, 204, 20, 196, 12, 188, 5, 181)(2, 178, 7, 183, 15, 191, 23, 199, 31, 207, 39, 215, 47, 223, 55, 231, 63, 239, 73, 249, 76, 252, 80, 256, 84, 260, 88, 264, 92, 268, 96, 272, 102, 278, 107, 283, 113, 289, 121, 297, 129, 305, 137, 313, 145, 321, 153, 329, 161, 337, 175, 351, 172, 348, 163, 339, 157, 333, 147, 323, 141, 317, 131, 307, 125, 301, 115, 291, 110, 286, 104, 280, 64, 240, 56, 232, 48, 224, 40, 216, 32, 208, 24, 200, 16, 192, 8, 184)(4, 180, 11, 187, 19, 195, 27, 203, 35, 211, 43, 219, 51, 227, 59, 235, 67, 243, 71, 247, 74, 250, 78, 254, 82, 258, 86, 262, 90, 266, 94, 270, 99, 275, 111, 287, 118, 294, 126, 302, 134, 310, 142, 318, 150, 326, 158, 334, 166, 342, 170, 346, 174, 350, 165, 341, 155, 331, 149, 325, 139, 315, 133, 309, 123, 299, 117, 293, 108, 284, 100, 276, 65, 241, 57, 233, 49, 225, 41, 217, 33, 209, 25, 201, 17, 193, 9, 185)(6, 182, 13, 189, 21, 197, 29, 205, 37, 213, 45, 221, 53, 229, 61, 237, 69, 245, 70, 246, 72, 248, 75, 251, 79, 255, 83, 259, 87, 263, 91, 267, 95, 271, 101, 277, 119, 295, 127, 303, 135, 311, 143, 319, 151, 327, 159, 335, 167, 343, 168, 344, 173, 349, 171, 347, 162, 338, 152, 328, 146, 322, 136, 312, 130, 306, 120, 296, 114, 290, 106, 282, 98, 274, 62, 238, 54, 230, 46, 222, 38, 214, 30, 206, 22, 198, 14, 190)
	L = (1, 178)(2, 182)(3, 185)(4, 177)(5, 187)(6, 180)(7, 181)(8, 179)(9, 189)(10, 192)(11, 190)(12, 191)(13, 184)(14, 183)(15, 198)(16, 197)(17, 186)(18, 201)(19, 188)(20, 203)(21, 193)(22, 195)(23, 196)(24, 194)(25, 205)(26, 208)(27, 206)(28, 207)(29, 200)(30, 199)(31, 214)(32, 213)(33, 202)(34, 217)(35, 204)(36, 219)(37, 209)(38, 211)(39, 212)(40, 210)(41, 221)(42, 224)(43, 222)(44, 223)(45, 216)(46, 215)(47, 230)(48, 229)(49, 218)(50, 233)(51, 220)(52, 235)(53, 225)(54, 227)(55, 228)(56, 226)(57, 237)(58, 240)(59, 238)(60, 239)(61, 232)(62, 231)(63, 274)(64, 245)(65, 234)(66, 276)(67, 236)(68, 247)(69, 241)(70, 280)(71, 282)(72, 284)(73, 244)(74, 288)(75, 291)(76, 290)(77, 286)(78, 296)(79, 299)(80, 298)(81, 293)(82, 304)(83, 307)(84, 306)(85, 301)(86, 312)(87, 315)(88, 314)(89, 309)(90, 320)(91, 323)(92, 322)(93, 317)(94, 328)(95, 331)(96, 330)(97, 325)(98, 243)(99, 336)(100, 246)(101, 339)(102, 338)(103, 333)(104, 242)(105, 341)(106, 249)(107, 345)(108, 253)(109, 348)(110, 248)(111, 347)(112, 252)(113, 349)(114, 250)(115, 257)(116, 346)(117, 251)(118, 352)(119, 350)(120, 256)(121, 340)(122, 254)(123, 261)(124, 337)(125, 255)(126, 344)(127, 351)(128, 260)(129, 343)(130, 258)(131, 265)(132, 334)(133, 259)(134, 332)(135, 342)(136, 264)(137, 324)(138, 262)(139, 269)(140, 321)(141, 263)(142, 335)(143, 329)(144, 268)(145, 327)(146, 266)(147, 273)(148, 318)(149, 267)(150, 316)(151, 326)(152, 272)(153, 308)(154, 270)(155, 279)(156, 305)(157, 271)(158, 319)(159, 313)(160, 278)(161, 311)(162, 275)(163, 281)(164, 302)(165, 277)(166, 300)(167, 310)(168, 297)(169, 287)(170, 303)(171, 283)(172, 295)(173, 294)(174, 285)(175, 292)(176, 289)
	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 E21.2897
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 176 f = 132
	degree seq :: [ 88^4 ]

E21.2902 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 44})
Quotient :: loop
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^44 ]
Map:: polytopal non-degenerate
	R = (1, 177, 3, 179)(2, 178, 6, 182)(4, 180, 9, 185)(5, 181, 12, 188)(7, 183, 16, 192)(8, 184, 17, 193)(10, 186, 15, 191)(11, 187, 21, 197)(13, 189, 23, 199)(14, 190, 24, 200)(18, 194, 26, 202)(19, 195, 27, 203)(20, 196, 30, 206)(22, 198, 32, 208)(25, 201, 34, 210)(28, 204, 33, 209)(29, 205, 38, 214)(31, 207, 40, 216)(35, 211, 42, 218)(36, 212, 43, 219)(37, 213, 46, 222)(39, 215, 48, 224)(41, 217, 50, 226)(44, 220, 49, 225)(45, 221, 54, 230)(47, 223, 56, 232)(51, 227, 58, 234)(52, 228, 59, 235)(53, 229, 62, 238)(55, 231, 64, 240)(57, 233, 66, 242)(60, 236, 65, 241)(61, 237, 71, 247)(63, 239, 103, 279)(67, 243, 70, 246)(68, 244, 107, 283)(69, 245, 105, 281)(72, 248, 112, 288)(73, 249, 101, 277)(74, 250, 115, 291)(75, 251, 117, 293)(76, 252, 119, 295)(77, 253, 121, 297)(78, 254, 123, 299)(79, 255, 125, 301)(80, 256, 127, 303)(81, 257, 129, 305)(82, 258, 131, 307)(83, 259, 133, 309)(84, 260, 135, 311)(85, 261, 137, 313)(86, 262, 139, 315)(87, 263, 141, 317)(88, 264, 143, 319)(89, 265, 145, 321)(90, 266, 147, 323)(91, 267, 149, 325)(92, 268, 151, 327)(93, 269, 153, 329)(94, 270, 155, 331)(95, 271, 157, 333)(96, 272, 159, 335)(97, 273, 161, 337)(98, 274, 163, 339)(99, 275, 165, 341)(100, 276, 167, 343)(102, 278, 170, 346)(104, 280, 172, 348)(106, 282, 174, 350)(108, 284, 173, 349)(109, 285, 171, 347)(110, 286, 175, 351)(111, 287, 168, 344)(113, 289, 162, 338)(114, 290, 160, 336)(116, 292, 169, 345)(118, 294, 154, 330)(120, 296, 152, 328)(122, 298, 176, 352)(124, 300, 166, 342)(126, 302, 164, 340)(128, 304, 146, 322)(130, 306, 144, 320)(132, 308, 158, 334)(134, 310, 156, 332)(136, 312, 138, 314)(140, 316, 150, 326)(142, 318, 148, 324)
	L = (1, 178)(2, 181)(3, 183)(4, 177)(5, 187)(6, 189)(7, 191)(8, 179)(9, 194)(10, 180)(11, 196)(12, 184)(13, 185)(14, 182)(15, 201)(16, 199)(17, 200)(18, 203)(19, 186)(20, 205)(21, 190)(22, 188)(23, 193)(24, 208)(25, 209)(26, 192)(27, 211)(28, 195)(29, 213)(30, 198)(31, 197)(32, 216)(33, 217)(34, 202)(35, 219)(36, 204)(37, 221)(38, 207)(39, 206)(40, 224)(41, 225)(42, 210)(43, 227)(44, 212)(45, 229)(46, 215)(47, 214)(48, 232)(49, 233)(50, 218)(51, 235)(52, 220)(53, 237)(54, 223)(55, 222)(56, 240)(57, 241)(58, 226)(59, 243)(60, 228)(61, 277)(62, 231)(63, 230)(64, 279)(65, 281)(66, 234)(67, 283)(68, 236)(69, 246)(70, 242)(71, 239)(72, 245)(73, 253)(74, 247)(75, 248)(76, 250)(77, 238)(78, 249)(79, 244)(80, 251)(81, 254)(82, 252)(83, 255)(84, 256)(85, 258)(86, 257)(87, 259)(88, 260)(89, 262)(90, 261)(91, 263)(92, 264)(93, 266)(94, 265)(95, 267)(96, 268)(97, 270)(98, 269)(99, 271)(100, 272)(101, 295)(102, 274)(103, 297)(104, 273)(105, 301)(106, 275)(107, 288)(108, 276)(109, 286)(110, 282)(111, 280)(112, 309)(113, 285)(114, 298)(115, 299)(116, 287)(117, 317)(118, 289)(119, 305)(120, 292)(121, 291)(122, 278)(123, 307)(124, 290)(125, 293)(126, 284)(127, 325)(128, 294)(129, 313)(130, 300)(131, 315)(132, 296)(133, 303)(134, 302)(135, 333)(136, 304)(137, 321)(138, 308)(139, 323)(140, 306)(141, 311)(142, 310)(143, 341)(144, 312)(145, 329)(146, 316)(147, 331)(148, 314)(149, 319)(150, 318)(151, 350)(152, 320)(153, 337)(154, 324)(155, 339)(156, 322)(157, 327)(158, 326)(159, 351)(160, 328)(161, 346)(162, 332)(163, 348)(164, 330)(165, 335)(166, 334)(167, 347)(168, 336)(169, 342)(170, 344)(171, 340)(172, 352)(173, 338)(174, 343)(175, 349)(176, 345)
	local type(s) :: { ( 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E21.2898
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 88 e = 176 f = 48
	degree seq :: [ 4^88 ]

E21.2903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|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)^44 ]
Map::
	R = (1, 177, 2, 178)(3, 179, 7, 183)(4, 180, 9, 185)(5, 181, 10, 186)(6, 182, 12, 188)(8, 184, 11, 187)(13, 189, 17, 193)(14, 190, 18, 194)(15, 191, 19, 195)(16, 192, 20, 196)(21, 197, 25, 201)(22, 198, 26, 202)(23, 199, 27, 203)(24, 200, 28, 204)(29, 205, 33, 209)(30, 206, 34, 210)(31, 207, 35, 211)(32, 208, 36, 212)(37, 213, 58, 234)(38, 214, 57, 233)(39, 215, 71, 247)(40, 216, 74, 250)(41, 217, 75, 251)(42, 218, 76, 252)(43, 219, 72, 248)(44, 220, 73, 249)(45, 221, 81, 257)(46, 222, 82, 258)(47, 223, 83, 259)(48, 224, 84, 260)(49, 225, 85, 261)(50, 226, 86, 262)(51, 227, 77, 253)(52, 228, 78, 254)(53, 229, 79, 255)(54, 230, 80, 256)(55, 231, 68, 244)(56, 232, 67, 243)(59, 235, 87, 263)(60, 236, 88, 264)(61, 237, 89, 265)(62, 238, 90, 266)(63, 239, 91, 267)(64, 240, 92, 268)(65, 241, 93, 269)(66, 242, 94, 270)(69, 245, 95, 271)(70, 246, 96, 272)(97, 273, 99, 275)(98, 274, 100, 276)(101, 277, 117, 293)(102, 278, 118, 294)(103, 279, 135, 311)(104, 280, 138, 314)(105, 281, 136, 312)(106, 282, 137, 313)(107, 283, 141, 317)(108, 284, 144, 320)(109, 285, 142, 318)(110, 286, 143, 319)(111, 287, 145, 321)(112, 288, 146, 322)(113, 289, 139, 315)(114, 290, 140, 316)(115, 291, 131, 307)(116, 292, 132, 308)(119, 295, 147, 323)(120, 296, 148, 324)(121, 297, 149, 325)(122, 298, 150, 326)(123, 299, 151, 327)(124, 300, 152, 328)(125, 301, 153, 329)(126, 302, 154, 330)(127, 303, 155, 331)(128, 304, 156, 332)(129, 305, 157, 333)(130, 306, 158, 334)(133, 309, 159, 335)(134, 310, 160, 336)(161, 337, 163, 339)(162, 338, 164, 340)(165, 341, 172, 348)(166, 342, 171, 347)(167, 343, 176, 352)(168, 344, 175, 351)(169, 345, 173, 349)(170, 346, 174, 350)(353, 529, 355, 531, 360, 536, 356, 532)(354, 530, 357, 533, 363, 539, 358, 534)(359, 535, 365, 541, 361, 537, 366, 542)(362, 538, 367, 543, 364, 540, 368, 544)(369, 545, 373, 549, 370, 546, 374, 550)(371, 547, 375, 551, 372, 548, 376, 552)(377, 553, 381, 557, 378, 554, 382, 558)(379, 555, 383, 559, 380, 556, 384, 560)(385, 561, 389, 565, 386, 562, 390, 566)(387, 563, 419, 595, 388, 564, 420, 596)(391, 567, 424, 600, 398, 574, 425, 601)(392, 568, 427, 603, 401, 577, 428, 604)(393, 569, 429, 605, 394, 570, 430, 606)(395, 571, 431, 607, 396, 572, 432, 608)(397, 573, 434, 610, 399, 575, 423, 599)(400, 576, 437, 613, 402, 578, 426, 602)(403, 579, 439, 615, 404, 580, 440, 616)(405, 581, 441, 617, 406, 582, 442, 618)(407, 583, 435, 611, 408, 584, 433, 609)(409, 585, 438, 614, 410, 586, 436, 612)(411, 587, 443, 619, 412, 588, 444, 620)(413, 589, 445, 621, 414, 590, 446, 622)(415, 591, 447, 623, 416, 592, 448, 624)(417, 593, 449, 625, 418, 594, 450, 626)(421, 597, 453, 629, 422, 598, 454, 630)(451, 627, 483, 659, 452, 628, 484, 660)(455, 631, 488, 664, 456, 632, 489, 665)(457, 633, 491, 667, 458, 634, 492, 668)(459, 635, 494, 670, 460, 636, 495, 671)(461, 637, 497, 673, 462, 638, 498, 674)(463, 639, 499, 675, 464, 640, 500, 676)(465, 641, 501, 677, 466, 642, 502, 678)(467, 643, 490, 666, 468, 644, 487, 663)(469, 645, 496, 672, 470, 646, 493, 669)(471, 647, 503, 679, 472, 648, 504, 680)(473, 649, 505, 681, 474, 650, 506, 682)(475, 651, 507, 683, 476, 652, 508, 684)(477, 653, 509, 685, 478, 654, 510, 686)(479, 655, 511, 687, 480, 656, 512, 688)(481, 657, 513, 689, 482, 658, 514, 690)(485, 661, 517, 693, 486, 662, 518, 694)(515, 691, 527, 703, 516, 692, 528, 704)(519, 695, 525, 701, 520, 696, 526, 702)(521, 697, 524, 700, 522, 698, 523, 699)
	L = (1, 354)(2, 353)(3, 359)(4, 361)(5, 362)(6, 364)(7, 355)(8, 363)(9, 356)(10, 357)(11, 360)(12, 358)(13, 369)(14, 370)(15, 371)(16, 372)(17, 365)(18, 366)(19, 367)(20, 368)(21, 377)(22, 378)(23, 379)(24, 380)(25, 373)(26, 374)(27, 375)(28, 376)(29, 385)(30, 386)(31, 387)(32, 388)(33, 381)(34, 382)(35, 383)(36, 384)(37, 410)(38, 409)(39, 423)(40, 426)(41, 427)(42, 428)(43, 424)(44, 425)(45, 433)(46, 434)(47, 435)(48, 436)(49, 437)(50, 438)(51, 429)(52, 430)(53, 431)(54, 432)(55, 420)(56, 419)(57, 390)(58, 389)(59, 439)(60, 440)(61, 441)(62, 442)(63, 443)(64, 444)(65, 445)(66, 446)(67, 408)(68, 407)(69, 447)(70, 448)(71, 391)(72, 395)(73, 396)(74, 392)(75, 393)(76, 394)(77, 403)(78, 404)(79, 405)(80, 406)(81, 397)(82, 398)(83, 399)(84, 400)(85, 401)(86, 402)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 421)(96, 422)(97, 451)(98, 452)(99, 449)(100, 450)(101, 469)(102, 470)(103, 487)(104, 490)(105, 488)(106, 489)(107, 493)(108, 496)(109, 494)(110, 495)(111, 497)(112, 498)(113, 491)(114, 492)(115, 483)(116, 484)(117, 453)(118, 454)(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, 467)(132, 468)(133, 511)(134, 512)(135, 455)(136, 457)(137, 458)(138, 456)(139, 465)(140, 466)(141, 459)(142, 461)(143, 462)(144, 460)(145, 463)(146, 464)(147, 471)(148, 472)(149, 473)(150, 474)(151, 475)(152, 476)(153, 477)(154, 478)(155, 479)(156, 480)(157, 481)(158, 482)(159, 485)(160, 486)(161, 515)(162, 516)(163, 513)(164, 514)(165, 524)(166, 523)(167, 528)(168, 527)(169, 525)(170, 526)(171, 518)(172, 517)(173, 521)(174, 522)(175, 520)(176, 519)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	local type(s) :: { ( 2, 88, 2, 88 ), ( 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.2906
Graph:: bipartite
	v = 132 e = 352 f = 180
	degree seq :: [ 4^88, 8^44 ]

E21.2904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|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, Y2^44 ]
Map::
	R = (1, 177, 2, 178, 6, 182, 4, 180)(3, 179, 9, 185, 13, 189, 8, 184)(5, 181, 11, 187, 14, 190, 7, 183)(10, 186, 16, 192, 21, 197, 17, 193)(12, 188, 15, 191, 22, 198, 19, 195)(18, 194, 25, 201, 29, 205, 24, 200)(20, 196, 27, 203, 30, 206, 23, 199)(26, 202, 32, 208, 37, 213, 33, 209)(28, 204, 31, 207, 38, 214, 35, 211)(34, 210, 41, 217, 45, 221, 40, 216)(36, 212, 43, 219, 46, 222, 39, 215)(42, 218, 48, 224, 53, 229, 49, 225)(44, 220, 47, 223, 54, 230, 51, 227)(50, 226, 57, 233, 61, 237, 56, 232)(52, 228, 59, 235, 62, 238, 55, 231)(58, 234, 64, 240, 101, 277, 65, 241)(60, 236, 63, 239, 74, 250, 67, 243)(66, 242, 72, 248, 109, 285, 69, 245)(68, 244, 107, 283, 70, 246, 103, 279)(71, 247, 105, 281, 77, 253, 110, 286)(73, 249, 111, 287, 76, 252, 112, 288)(75, 251, 113, 289, 81, 257, 114, 290)(78, 254, 115, 291, 80, 256, 116, 292)(79, 255, 117, 293, 85, 261, 118, 294)(82, 258, 119, 295, 84, 260, 120, 296)(83, 259, 121, 297, 89, 265, 122, 298)(86, 262, 123, 299, 88, 264, 124, 300)(87, 263, 125, 301, 93, 269, 126, 302)(90, 266, 127, 303, 92, 268, 128, 304)(91, 267, 129, 305, 97, 273, 130, 306)(94, 270, 131, 307, 96, 272, 132, 308)(95, 271, 133, 309, 102, 278, 134, 310)(98, 274, 136, 312, 100, 276, 137, 313)(99, 275, 138, 314, 135, 311, 139, 315)(104, 280, 142, 318, 108, 284, 143, 319)(106, 282, 146, 322, 140, 316, 147, 323)(141, 317, 176, 352, 144, 320, 175, 351)(145, 321, 174, 350, 148, 324, 173, 349)(149, 325, 171, 347, 150, 326, 172, 348)(151, 327, 169, 345, 152, 328, 170, 346)(153, 329, 168, 344, 154, 330, 167, 343)(155, 331, 166, 342, 156, 332, 165, 341)(157, 333, 163, 339, 158, 334, 164, 340)(159, 335, 161, 337, 160, 336, 162, 338)(353, 529, 355, 531, 362, 538, 370, 546, 378, 554, 386, 562, 394, 570, 402, 578, 410, 586, 418, 594, 457, 633, 465, 641, 469, 645, 473, 649, 477, 653, 481, 657, 485, 661, 490, 666, 498, 674, 526, 702, 521, 697, 518, 694, 513, 689, 510, 686, 505, 681, 502, 678, 493, 669, 460, 636, 450, 626, 448, 624, 442, 618, 440, 616, 434, 610, 432, 608, 425, 601, 420, 596, 412, 588, 404, 580, 396, 572, 388, 564, 380, 556, 372, 548, 364, 540, 357, 533)(354, 530, 359, 535, 367, 543, 375, 551, 383, 559, 391, 567, 399, 575, 407, 583, 415, 591, 455, 631, 463, 639, 467, 643, 471, 647, 475, 651, 479, 655, 483, 659, 488, 664, 494, 670, 528, 704, 523, 699, 520, 696, 515, 691, 512, 688, 507, 683, 504, 680, 497, 673, 492, 668, 451, 627, 454, 630, 443, 619, 445, 621, 435, 611, 437, 613, 427, 603, 429, 605, 421, 597, 416, 592, 408, 584, 400, 576, 392, 568, 384, 560, 376, 552, 368, 544, 360, 536)(356, 532, 363, 539, 371, 547, 379, 555, 387, 563, 395, 571, 403, 579, 411, 587, 419, 595, 459, 635, 464, 640, 468, 644, 472, 648, 476, 652, 480, 656, 484, 660, 489, 665, 495, 671, 527, 703, 524, 700, 519, 695, 516, 692, 511, 687, 508, 684, 503, 679, 500, 676, 458, 634, 487, 663, 447, 623, 449, 625, 439, 615, 441, 617, 431, 607, 433, 609, 423, 599, 424, 600, 417, 593, 409, 585, 401, 577, 393, 569, 385, 561, 377, 553, 369, 545, 361, 537)(358, 534, 365, 541, 373, 549, 381, 557, 389, 565, 397, 573, 405, 581, 413, 589, 453, 629, 461, 637, 462, 638, 466, 642, 470, 646, 474, 650, 478, 654, 482, 658, 486, 662, 491, 667, 499, 675, 525, 701, 522, 698, 517, 693, 514, 690, 509, 685, 506, 682, 501, 677, 496, 672, 456, 632, 452, 628, 446, 622, 444, 620, 438, 614, 436, 612, 430, 606, 428, 604, 422, 598, 426, 602, 414, 590, 406, 582, 398, 574, 390, 566, 382, 558, 374, 550, 366, 542)
	L = (1, 355)(2, 359)(3, 362)(4, 363)(5, 353)(6, 365)(7, 367)(8, 354)(9, 356)(10, 370)(11, 371)(12, 357)(13, 373)(14, 358)(15, 375)(16, 360)(17, 361)(18, 378)(19, 379)(20, 364)(21, 381)(22, 366)(23, 383)(24, 368)(25, 369)(26, 386)(27, 387)(28, 372)(29, 389)(30, 374)(31, 391)(32, 376)(33, 377)(34, 394)(35, 395)(36, 380)(37, 397)(38, 382)(39, 399)(40, 384)(41, 385)(42, 402)(43, 403)(44, 388)(45, 405)(46, 390)(47, 407)(48, 392)(49, 393)(50, 410)(51, 411)(52, 396)(53, 413)(54, 398)(55, 415)(56, 400)(57, 401)(58, 418)(59, 419)(60, 404)(61, 453)(62, 406)(63, 455)(64, 408)(65, 409)(66, 457)(67, 459)(68, 412)(69, 416)(70, 426)(71, 424)(72, 417)(73, 420)(74, 414)(75, 429)(76, 422)(77, 421)(78, 428)(79, 433)(80, 425)(81, 423)(82, 432)(83, 437)(84, 430)(85, 427)(86, 436)(87, 441)(88, 434)(89, 431)(90, 440)(91, 445)(92, 438)(93, 435)(94, 444)(95, 449)(96, 442)(97, 439)(98, 448)(99, 454)(100, 446)(101, 461)(102, 443)(103, 463)(104, 452)(105, 465)(106, 487)(107, 464)(108, 450)(109, 462)(110, 466)(111, 467)(112, 468)(113, 469)(114, 470)(115, 471)(116, 472)(117, 473)(118, 474)(119, 475)(120, 476)(121, 477)(122, 478)(123, 479)(124, 480)(125, 481)(126, 482)(127, 483)(128, 484)(129, 485)(130, 486)(131, 488)(132, 489)(133, 490)(134, 491)(135, 447)(136, 494)(137, 495)(138, 498)(139, 499)(140, 451)(141, 460)(142, 528)(143, 527)(144, 456)(145, 492)(146, 526)(147, 525)(148, 458)(149, 496)(150, 493)(151, 500)(152, 497)(153, 502)(154, 501)(155, 504)(156, 503)(157, 506)(158, 505)(159, 508)(160, 507)(161, 510)(162, 509)(163, 512)(164, 511)(165, 514)(166, 513)(167, 516)(168, 515)(169, 518)(170, 517)(171, 520)(172, 519)(173, 522)(174, 521)(175, 524)(176, 523)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2905
Graph:: bipartite
	v = 48 e = 352 f = 264
	degree seq :: [ 8^44, 88^4 ]

E21.2905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|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, Y3^20 * Y2 * Y3^-24 * Y2, (Y3^-1 * Y1^-1)^44 ]
Map:: polytopal
	R = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)(353, 529, 354, 530)(355, 531, 359, 535)(356, 532, 361, 537)(357, 533, 363, 539)(358, 534, 365, 541)(360, 536, 366, 542)(362, 538, 364, 540)(367, 543, 372, 548)(368, 544, 375, 551)(369, 545, 377, 553)(370, 546, 373, 549)(371, 547, 379, 555)(374, 550, 381, 557)(376, 552, 383, 559)(378, 554, 384, 560)(380, 556, 382, 558)(385, 561, 391, 567)(386, 562, 393, 569)(387, 563, 389, 565)(388, 564, 395, 571)(390, 566, 397, 573)(392, 568, 399, 575)(394, 570, 400, 576)(396, 572, 398, 574)(401, 577, 407, 583)(402, 578, 409, 585)(403, 579, 405, 581)(404, 580, 411, 587)(406, 582, 413, 589)(408, 584, 415, 591)(410, 586, 416, 592)(412, 588, 414, 590)(417, 593, 444, 620)(418, 594, 463, 639)(419, 595, 465, 641)(420, 596, 435, 611)(421, 597, 467, 643)(422, 598, 469, 645)(423, 599, 471, 647)(424, 600, 473, 649)(425, 601, 475, 651)(426, 602, 477, 653)(427, 603, 479, 655)(428, 604, 481, 657)(429, 605, 483, 659)(430, 606, 485, 661)(431, 607, 487, 663)(432, 608, 489, 665)(433, 609, 491, 667)(434, 610, 493, 669)(436, 612, 496, 672)(437, 613, 498, 674)(438, 614, 500, 676)(439, 615, 502, 678)(440, 616, 504, 680)(441, 617, 506, 682)(442, 618, 508, 684)(443, 619, 510, 686)(445, 621, 513, 689)(446, 622, 515, 691)(447, 623, 517, 693)(448, 624, 519, 695)(449, 625, 521, 697)(450, 626, 523, 699)(451, 627, 525, 701)(452, 628, 526, 702)(453, 629, 527, 703)(454, 630, 528, 704)(455, 631, 514, 690)(456, 632, 518, 694)(457, 633, 509, 685)(458, 634, 522, 698)(459, 635, 511, 687)(460, 636, 524, 700)(461, 637, 516, 692)(462, 638, 520, 696)(464, 640, 488, 664)(466, 642, 497, 673)(468, 644, 470, 646)(472, 648, 480, 656)(474, 650, 484, 660)(476, 652, 486, 662)(478, 654, 490, 666)(482, 658, 492, 668)(494, 670, 501, 677)(495, 671, 507, 683)(499, 675, 503, 679)(505, 681, 512, 688)
	L = (1, 355)(2, 357)(3, 360)(4, 353)(5, 364)(6, 354)(7, 367)(8, 369)(9, 370)(10, 356)(11, 372)(12, 374)(13, 375)(14, 358)(15, 361)(16, 359)(17, 378)(18, 379)(19, 362)(20, 365)(21, 363)(22, 382)(23, 383)(24, 366)(25, 368)(26, 386)(27, 387)(28, 371)(29, 373)(30, 390)(31, 391)(32, 376)(33, 377)(34, 394)(35, 395)(36, 380)(37, 381)(38, 398)(39, 399)(40, 384)(41, 385)(42, 402)(43, 403)(44, 388)(45, 389)(46, 406)(47, 407)(48, 392)(49, 393)(50, 410)(51, 411)(52, 396)(53, 397)(54, 414)(55, 415)(56, 400)(57, 401)(58, 418)(59, 419)(60, 404)(61, 405)(62, 433)(63, 444)(64, 408)(65, 409)(66, 424)(67, 435)(68, 412)(69, 423)(70, 425)(71, 428)(72, 421)(73, 431)(74, 422)(75, 434)(76, 436)(77, 437)(78, 438)(79, 440)(80, 441)(81, 426)(82, 429)(83, 427)(84, 442)(85, 443)(86, 432)(87, 430)(88, 445)(89, 446)(90, 447)(91, 448)(92, 439)(93, 449)(94, 450)(95, 451)(96, 452)(97, 453)(98, 454)(99, 455)(100, 456)(101, 457)(102, 458)(103, 459)(104, 460)(105, 461)(106, 462)(107, 464)(108, 466)(109, 492)(110, 512)(111, 417)(112, 474)(113, 413)(114, 495)(115, 485)(116, 472)(117, 479)(118, 476)(119, 500)(120, 482)(121, 502)(122, 468)(123, 493)(124, 488)(125, 420)(126, 470)(127, 491)(128, 494)(129, 489)(130, 497)(131, 469)(132, 499)(133, 463)(134, 501)(135, 483)(136, 505)(137, 467)(138, 507)(139, 465)(140, 478)(141, 477)(142, 484)(143, 480)(144, 506)(145, 509)(146, 475)(147, 511)(148, 473)(149, 490)(150, 416)(151, 486)(152, 498)(153, 514)(154, 471)(155, 516)(156, 515)(157, 518)(158, 487)(159, 520)(160, 503)(161, 510)(162, 522)(163, 481)(164, 524)(165, 523)(166, 521)(167, 504)(168, 525)(169, 519)(170, 517)(171, 496)(172, 527)(173, 528)(174, 513)(175, 526)(176, 508)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	local type(s) :: { ( 8, 88 ), ( 8, 88, 8, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.2904
Graph:: simple bipartite
	v = 264 e = 352 f = 48
	degree seq :: [ 2^176, 4^88 ]

E21.2906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|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, Y1^44 ]
Map:: polytopal
	R = (1, 177, 2, 178, 5, 181, 11, 187, 20, 196, 29, 205, 37, 213, 45, 221, 53, 229, 61, 237, 101, 277, 109, 285, 112, 288, 116, 292, 121, 297, 125, 301, 129, 305, 134, 310, 141, 317, 176, 352, 170, 346, 166, 342, 161, 337, 158, 334, 153, 329, 150, 326, 143, 319, 108, 284, 99, 275, 96, 272, 91, 267, 88, 264, 83, 259, 79, 255, 74, 250, 68, 244, 60, 236, 52, 228, 44, 220, 36, 212, 28, 204, 19, 195, 10, 186, 4, 180)(3, 179, 7, 183, 15, 191, 25, 201, 33, 209, 41, 217, 49, 225, 57, 233, 65, 241, 105, 281, 110, 286, 113, 289, 119, 295, 123, 299, 127, 303, 132, 308, 137, 313, 145, 321, 172, 348, 168, 344, 163, 339, 160, 336, 155, 331, 152, 328, 147, 323, 140, 316, 102, 278, 130, 306, 93, 269, 98, 274, 85, 261, 90, 266, 76, 252, 82, 258, 70, 246, 81, 257, 62, 238, 55, 231, 46, 222, 39, 215, 30, 206, 22, 198, 12, 188, 8, 184)(6, 182, 13, 189, 9, 185, 18, 194, 27, 203, 35, 211, 43, 219, 51, 227, 59, 235, 67, 243, 107, 283, 111, 287, 115, 291, 120, 296, 124, 300, 128, 304, 133, 309, 138, 314, 146, 322, 173, 349, 167, 343, 164, 340, 159, 335, 156, 332, 151, 327, 148, 324, 139, 315, 135, 311, 97, 273, 104, 280, 89, 265, 94, 270, 80, 256, 86, 262, 72, 248, 78, 254, 69, 245, 63, 239, 54, 230, 47, 223, 38, 214, 31, 207, 21, 197, 14, 190)(16, 192, 23, 199, 17, 193, 24, 200, 32, 208, 40, 216, 48, 224, 56, 232, 64, 240, 103, 279, 117, 293, 114, 290, 118, 294, 122, 298, 126, 302, 131, 307, 136, 312, 142, 318, 169, 345, 174, 350, 175, 351, 171, 347, 165, 341, 162, 338, 157, 333, 154, 330, 149, 325, 144, 320, 106, 282, 100, 276, 95, 271, 92, 268, 87, 263, 84, 260, 77, 253, 75, 251, 71, 247, 73, 249, 66, 242, 58, 234, 50, 226, 42, 218, 34, 210, 26, 202)(353, 529)(354, 530)(355, 531)(356, 532)(357, 533)(358, 534)(359, 535)(360, 536)(361, 537)(362, 538)(363, 539)(364, 540)(365, 541)(366, 542)(367, 543)(368, 544)(369, 545)(370, 546)(371, 547)(372, 548)(373, 549)(374, 550)(375, 551)(376, 552)(377, 553)(378, 554)(379, 555)(380, 556)(381, 557)(382, 558)(383, 559)(384, 560)(385, 561)(386, 562)(387, 563)(388, 564)(389, 565)(390, 566)(391, 567)(392, 568)(393, 569)(394, 570)(395, 571)(396, 572)(397, 573)(398, 574)(399, 575)(400, 576)(401, 577)(402, 578)(403, 579)(404, 580)(405, 581)(406, 582)(407, 583)(408, 584)(409, 585)(410, 586)(411, 587)(412, 588)(413, 589)(414, 590)(415, 591)(416, 592)(417, 593)(418, 594)(419, 595)(420, 596)(421, 597)(422, 598)(423, 599)(424, 600)(425, 601)(426, 602)(427, 603)(428, 604)(429, 605)(430, 606)(431, 607)(432, 608)(433, 609)(434, 610)(435, 611)(436, 612)(437, 613)(438, 614)(439, 615)(440, 616)(441, 617)(442, 618)(443, 619)(444, 620)(445, 621)(446, 622)(447, 623)(448, 624)(449, 625)(450, 626)(451, 627)(452, 628)(453, 629)(454, 630)(455, 631)(456, 632)(457, 633)(458, 634)(459, 635)(460, 636)(461, 637)(462, 638)(463, 639)(464, 640)(465, 641)(466, 642)(467, 643)(468, 644)(469, 645)(470, 646)(471, 647)(472, 648)(473, 649)(474, 650)(475, 651)(476, 652)(477, 653)(478, 654)(479, 655)(480, 656)(481, 657)(482, 658)(483, 659)(484, 660)(485, 661)(486, 662)(487, 663)(488, 664)(489, 665)(490, 666)(491, 667)(492, 668)(493, 669)(494, 670)(495, 671)(496, 672)(497, 673)(498, 674)(499, 675)(500, 676)(501, 677)(502, 678)(503, 679)(504, 680)(505, 681)(506, 682)(507, 683)(508, 684)(509, 685)(510, 686)(511, 687)(512, 688)(513, 689)(514, 690)(515, 691)(516, 692)(517, 693)(518, 694)(519, 695)(520, 696)(521, 697)(522, 698)(523, 699)(524, 700)(525, 701)(526, 702)(527, 703)(528, 704)
	L = (1, 355)(2, 358)(3, 353)(4, 361)(5, 364)(6, 354)(7, 368)(8, 369)(9, 356)(10, 367)(11, 373)(12, 357)(13, 375)(14, 376)(15, 362)(16, 359)(17, 360)(18, 378)(19, 379)(20, 382)(21, 363)(22, 384)(23, 365)(24, 366)(25, 386)(26, 370)(27, 371)(28, 385)(29, 390)(30, 372)(31, 392)(32, 374)(33, 380)(34, 377)(35, 394)(36, 395)(37, 398)(38, 381)(39, 400)(40, 383)(41, 402)(42, 387)(43, 388)(44, 401)(45, 406)(46, 389)(47, 408)(48, 391)(49, 396)(50, 393)(51, 410)(52, 411)(53, 414)(54, 397)(55, 416)(56, 399)(57, 418)(58, 403)(59, 404)(60, 417)(61, 421)(62, 405)(63, 455)(64, 407)(65, 412)(66, 409)(67, 425)(68, 459)(69, 413)(70, 453)(71, 457)(72, 461)(73, 419)(74, 462)(75, 463)(76, 464)(77, 465)(78, 466)(79, 467)(80, 468)(81, 469)(82, 470)(83, 471)(84, 472)(85, 473)(86, 474)(87, 475)(88, 476)(89, 477)(90, 478)(91, 479)(92, 480)(93, 481)(94, 483)(95, 484)(96, 485)(97, 486)(98, 488)(99, 489)(100, 490)(101, 422)(102, 493)(103, 415)(104, 494)(105, 423)(106, 497)(107, 420)(108, 498)(109, 424)(110, 426)(111, 427)(112, 428)(113, 429)(114, 430)(115, 431)(116, 432)(117, 433)(118, 434)(119, 435)(120, 436)(121, 437)(122, 438)(123, 439)(124, 440)(125, 441)(126, 442)(127, 443)(128, 444)(129, 445)(130, 521)(131, 446)(132, 447)(133, 448)(134, 449)(135, 526)(136, 450)(137, 451)(138, 452)(139, 528)(140, 527)(141, 454)(142, 456)(143, 524)(144, 525)(145, 458)(146, 460)(147, 522)(148, 523)(149, 520)(150, 519)(151, 518)(152, 517)(153, 515)(154, 516)(155, 513)(156, 514)(157, 512)(158, 511)(159, 510)(160, 509)(161, 507)(162, 508)(163, 505)(164, 506)(165, 504)(166, 503)(167, 502)(168, 501)(169, 482)(170, 499)(171, 500)(172, 495)(173, 496)(174, 487)(175, 492)(176, 491)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2903
Graph:: simple bipartite
	v = 180 e = 352 f = 132
	degree seq :: [ 2^176, 88^4 ]

E21.2907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|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, Y2^44 ]
Map::
	R = (1, 177, 2, 178)(3, 179, 7, 183)(4, 180, 9, 185)(5, 181, 11, 187)(6, 182, 13, 189)(8, 184, 14, 190)(10, 186, 12, 188)(15, 191, 20, 196)(16, 192, 23, 199)(17, 193, 25, 201)(18, 194, 21, 197)(19, 195, 27, 203)(22, 198, 29, 205)(24, 200, 31, 207)(26, 202, 32, 208)(28, 204, 30, 206)(33, 209, 39, 215)(34, 210, 41, 217)(35, 211, 37, 213)(36, 212, 43, 219)(38, 214, 45, 221)(40, 216, 47, 223)(42, 218, 48, 224)(44, 220, 46, 222)(49, 225, 55, 231)(50, 226, 57, 233)(51, 227, 53, 229)(52, 228, 59, 235)(54, 230, 61, 237)(56, 232, 63, 239)(58, 234, 64, 240)(60, 236, 62, 238)(65, 241, 115, 291)(66, 242, 87, 263)(67, 243, 98, 274)(68, 244, 119, 295)(69, 245, 121, 297)(70, 246, 122, 298)(71, 247, 123, 299)(72, 248, 124, 300)(73, 249, 125, 301)(74, 250, 126, 302)(75, 251, 127, 303)(76, 252, 128, 304)(77, 253, 129, 305)(78, 254, 117, 293)(79, 255, 130, 306)(80, 256, 131, 307)(81, 257, 132, 308)(82, 258, 133, 309)(83, 259, 134, 310)(84, 260, 135, 311)(85, 261, 136, 312)(86, 262, 137, 313)(88, 264, 138, 314)(89, 265, 139, 315)(90, 266, 140, 316)(91, 267, 141, 317)(92, 268, 113, 289)(93, 269, 142, 318)(94, 270, 143, 319)(95, 271, 144, 320)(96, 272, 145, 321)(97, 273, 146, 322)(99, 275, 147, 323)(100, 276, 148, 324)(101, 277, 149, 325)(102, 278, 150, 326)(103, 279, 151, 327)(104, 280, 152, 328)(105, 281, 153, 329)(106, 282, 154, 330)(107, 283, 155, 331)(108, 284, 157, 333)(109, 285, 158, 334)(110, 286, 159, 335)(111, 287, 160, 336)(112, 288, 162, 338)(114, 290, 164, 340)(116, 292, 166, 342)(118, 294, 168, 344)(120, 296, 170, 346)(156, 332, 175, 351)(161, 337, 172, 348)(163, 339, 173, 349)(165, 341, 171, 347)(167, 343, 174, 350)(169, 345, 176, 352)(353, 529, 355, 531, 360, 536, 369, 545, 378, 554, 386, 562, 394, 570, 402, 578, 410, 586, 418, 594, 469, 645, 476, 652, 473, 649, 475, 651, 480, 656, 488, 664, 494, 670, 499, 675, 503, 679, 507, 683, 512, 688, 520, 696, 526, 702, 517, 693, 466, 642, 464, 640, 457, 633, 456, 632, 448, 624, 446, 622, 432, 608, 429, 605, 422, 598, 427, 603, 434, 610, 420, 596, 412, 588, 404, 580, 396, 572, 388, 564, 380, 556, 371, 547, 362, 538, 356, 532)(354, 530, 357, 533, 364, 540, 374, 550, 382, 558, 390, 566, 398, 574, 406, 582, 414, 590, 465, 641, 485, 661, 478, 654, 474, 650, 477, 653, 483, 659, 492, 668, 497, 673, 501, 677, 505, 681, 510, 686, 516, 692, 525, 701, 519, 695, 513, 689, 463, 639, 468, 644, 455, 631, 458, 634, 445, 621, 449, 625, 428, 604, 433, 609, 421, 597, 431, 607, 430, 606, 447, 623, 416, 592, 408, 584, 400, 576, 392, 568, 384, 560, 376, 552, 366, 542, 358, 534)(359, 535, 367, 543, 361, 537, 370, 546, 379, 555, 387, 563, 395, 571, 403, 579, 411, 587, 419, 595, 471, 647, 487, 663, 479, 655, 486, 662, 481, 657, 489, 665, 495, 671, 500, 676, 504, 680, 509, 685, 514, 690, 522, 698, 523, 699, 521, 697, 470, 646, 508, 684, 459, 635, 462, 638, 451, 627, 454, 630, 437, 613, 443, 619, 423, 599, 440, 616, 424, 600, 441, 617, 439, 615, 417, 593, 409, 585, 401, 577, 393, 569, 385, 561, 377, 553, 368, 544)(363, 539, 372, 548, 365, 541, 375, 551, 383, 559, 391, 567, 399, 575, 407, 583, 415, 591, 467, 643, 496, 672, 491, 667, 482, 658, 490, 666, 484, 660, 493, 669, 498, 674, 502, 678, 506, 682, 511, 687, 518, 694, 527, 703, 524, 700, 528, 704, 515, 691, 472, 648, 461, 637, 460, 636, 453, 629, 452, 628, 442, 618, 438, 614, 425, 601, 435, 611, 426, 602, 436, 612, 444, 620, 450, 626, 413, 589, 405, 581, 397, 573, 389, 565, 381, 557, 373, 549)
	L = (1, 354)(2, 353)(3, 359)(4, 361)(5, 363)(6, 365)(7, 355)(8, 366)(9, 356)(10, 364)(11, 357)(12, 362)(13, 358)(14, 360)(15, 372)(16, 375)(17, 377)(18, 373)(19, 379)(20, 367)(21, 370)(22, 381)(23, 368)(24, 383)(25, 369)(26, 384)(27, 371)(28, 382)(29, 374)(30, 380)(31, 376)(32, 378)(33, 391)(34, 393)(35, 389)(36, 395)(37, 387)(38, 397)(39, 385)(40, 399)(41, 386)(42, 400)(43, 388)(44, 398)(45, 390)(46, 396)(47, 392)(48, 394)(49, 407)(50, 409)(51, 405)(52, 411)(53, 403)(54, 413)(55, 401)(56, 415)(57, 402)(58, 416)(59, 404)(60, 414)(61, 406)(62, 412)(63, 408)(64, 410)(65, 467)(66, 439)(67, 450)(68, 471)(69, 473)(70, 474)(71, 475)(72, 476)(73, 477)(74, 478)(75, 479)(76, 480)(77, 481)(78, 469)(79, 482)(80, 483)(81, 484)(82, 485)(83, 486)(84, 487)(85, 488)(86, 489)(87, 418)(88, 490)(89, 491)(90, 492)(91, 493)(92, 465)(93, 494)(94, 495)(95, 496)(96, 497)(97, 498)(98, 419)(99, 499)(100, 500)(101, 501)(102, 502)(103, 503)(104, 504)(105, 505)(106, 506)(107, 507)(108, 509)(109, 510)(110, 511)(111, 512)(112, 514)(113, 444)(114, 516)(115, 417)(116, 518)(117, 430)(118, 520)(119, 420)(120, 522)(121, 421)(122, 422)(123, 423)(124, 424)(125, 425)(126, 426)(127, 427)(128, 428)(129, 429)(130, 431)(131, 432)(132, 433)(133, 434)(134, 435)(135, 436)(136, 437)(137, 438)(138, 440)(139, 441)(140, 442)(141, 443)(142, 445)(143, 446)(144, 447)(145, 448)(146, 449)(147, 451)(148, 452)(149, 453)(150, 454)(151, 455)(152, 456)(153, 457)(154, 458)(155, 459)(156, 527)(157, 460)(158, 461)(159, 462)(160, 463)(161, 524)(162, 464)(163, 525)(164, 466)(165, 523)(166, 468)(167, 526)(168, 470)(169, 528)(170, 472)(171, 517)(172, 513)(173, 515)(174, 519)(175, 508)(176, 521)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2908
Graph:: bipartite
	v = 92 e = 352 f = 220
	degree seq :: [ 4^88, 88^4 ]

E21.2908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 44})
Quotient :: dipole
Aut^+ = (C44 x C2) : C2 (small group id <176, 13>)
Aut   = (C2 x C2 x C2 x D22) : C2 (small group id <352, 77>)
|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)^44 ]
Map:: polytopal
	R = (1, 177, 2, 178, 6, 182, 4, 180)(3, 179, 9, 185, 13, 189, 8, 184)(5, 181, 11, 187, 14, 190, 7, 183)(10, 186, 16, 192, 21, 197, 17, 193)(12, 188, 15, 191, 22, 198, 19, 195)(18, 194, 25, 201, 29, 205, 24, 200)(20, 196, 27, 203, 30, 206, 23, 199)(26, 202, 32, 208, 37, 213, 33, 209)(28, 204, 31, 207, 38, 214, 35, 211)(34, 210, 41, 217, 45, 221, 40, 216)(36, 212, 43, 219, 46, 222, 39, 215)(42, 218, 48, 224, 53, 229, 49, 225)(44, 220, 47, 223, 54, 230, 51, 227)(50, 226, 57, 233, 61, 237, 56, 232)(52, 228, 59, 235, 62, 238, 55, 231)(58, 234, 64, 240, 105, 281, 65, 241)(60, 236, 63, 239, 82, 258, 67, 243)(66, 242, 73, 249, 118, 294, 80, 256)(68, 244, 111, 287, 76, 252, 107, 283)(69, 245, 113, 289, 74, 250, 109, 285)(70, 246, 114, 290, 72, 248, 115, 291)(71, 247, 116, 292, 79, 255, 117, 293)(75, 251, 119, 295, 78, 254, 120, 296)(77, 253, 121, 297, 85, 261, 122, 298)(81, 257, 123, 299, 84, 260, 124, 300)(83, 259, 125, 301, 89, 265, 126, 302)(86, 262, 127, 303, 88, 264, 128, 304)(87, 263, 129, 305, 93, 269, 130, 306)(90, 266, 131, 307, 92, 268, 132, 308)(91, 267, 133, 309, 97, 273, 134, 310)(94, 270, 135, 311, 96, 272, 136, 312)(95, 271, 137, 313, 101, 277, 138, 314)(98, 274, 139, 315, 100, 276, 140, 316)(99, 275, 141, 317, 106, 282, 142, 318)(102, 278, 144, 320, 104, 280, 145, 321)(103, 279, 146, 322, 143, 319, 147, 323)(108, 284, 151, 327, 112, 288, 152, 328)(110, 286, 155, 331, 148, 324, 156, 332)(149, 325, 176, 352, 150, 326, 175, 351)(153, 329, 174, 350, 154, 330, 173, 349)(157, 333, 172, 348, 158, 334, 171, 347)(159, 335, 170, 346, 160, 336, 169, 345)(161, 337, 167, 343, 162, 338, 168, 344)(163, 339, 165, 341, 164, 340, 166, 342)(353, 529)(354, 530)(355, 531)(356, 532)(357, 533)(358, 534)(359, 535)(360, 536)(361, 537)(362, 538)(363, 539)(364, 540)(365, 541)(366, 542)(367, 543)(368, 544)(369, 545)(370, 546)(371, 547)(372, 548)(373, 549)(374, 550)(375, 551)(376, 552)(377, 553)(378, 554)(379, 555)(380, 556)(381, 557)(382, 558)(383, 559)(384, 560)(385, 561)(386, 562)(387, 563)(388, 564)(389, 565)(390, 566)(391, 567)(392, 568)(393, 569)(394, 570)(395, 571)(396, 572)(397, 573)(398, 574)(399, 575)(400, 576)(401, 577)(402, 578)(403, 579)(404, 580)(405, 581)(406, 582)(407, 583)(408, 584)(409, 585)(410, 586)(411, 587)(412, 588)(413, 589)(414, 590)(415, 591)(416, 592)(417, 593)(418, 594)(419, 595)(420, 596)(421, 597)(422, 598)(423, 599)(424, 600)(425, 601)(426, 602)(427, 603)(428, 604)(429, 605)(430, 606)(431, 607)(432, 608)(433, 609)(434, 610)(435, 611)(436, 612)(437, 613)(438, 614)(439, 615)(440, 616)(441, 617)(442, 618)(443, 619)(444, 620)(445, 621)(446, 622)(447, 623)(448, 624)(449, 625)(450, 626)(451, 627)(452, 628)(453, 629)(454, 630)(455, 631)(456, 632)(457, 633)(458, 634)(459, 635)(460, 636)(461, 637)(462, 638)(463, 639)(464, 640)(465, 641)(466, 642)(467, 643)(468, 644)(469, 645)(470, 646)(471, 647)(472, 648)(473, 649)(474, 650)(475, 651)(476, 652)(477, 653)(478, 654)(479, 655)(480, 656)(481, 657)(482, 658)(483, 659)(484, 660)(485, 661)(486, 662)(487, 663)(488, 664)(489, 665)(490, 666)(491, 667)(492, 668)(493, 669)(494, 670)(495, 671)(496, 672)(497, 673)(498, 674)(499, 675)(500, 676)(501, 677)(502, 678)(503, 679)(504, 680)(505, 681)(506, 682)(507, 683)(508, 684)(509, 685)(510, 686)(511, 687)(512, 688)(513, 689)(514, 690)(515, 691)(516, 692)(517, 693)(518, 694)(519, 695)(520, 696)(521, 697)(522, 698)(523, 699)(524, 700)(525, 701)(526, 702)(527, 703)(528, 704)
	L = (1, 355)(2, 359)(3, 362)(4, 363)(5, 353)(6, 365)(7, 367)(8, 354)(9, 356)(10, 370)(11, 371)(12, 357)(13, 373)(14, 358)(15, 375)(16, 360)(17, 361)(18, 378)(19, 379)(20, 364)(21, 381)(22, 366)(23, 383)(24, 368)(25, 369)(26, 386)(27, 387)(28, 372)(29, 389)(30, 374)(31, 391)(32, 376)(33, 377)(34, 394)(35, 395)(36, 380)(37, 397)(38, 382)(39, 399)(40, 384)(41, 385)(42, 402)(43, 403)(44, 388)(45, 405)(46, 390)(47, 407)(48, 392)(49, 393)(50, 410)(51, 411)(52, 396)(53, 413)(54, 398)(55, 415)(56, 400)(57, 401)(58, 418)(59, 419)(60, 404)(61, 457)(62, 406)(63, 459)(64, 408)(65, 409)(66, 461)(67, 463)(68, 412)(69, 432)(70, 428)(71, 426)(72, 420)(73, 417)(74, 425)(75, 424)(76, 434)(77, 431)(78, 422)(79, 421)(80, 416)(81, 430)(82, 414)(83, 437)(84, 427)(85, 423)(86, 436)(87, 441)(88, 433)(89, 429)(90, 440)(91, 445)(92, 438)(93, 435)(94, 444)(95, 449)(96, 442)(97, 439)(98, 448)(99, 453)(100, 446)(101, 443)(102, 452)(103, 458)(104, 450)(105, 470)(106, 447)(107, 467)(108, 456)(109, 469)(110, 495)(111, 466)(112, 454)(113, 468)(114, 471)(115, 472)(116, 473)(117, 474)(118, 465)(119, 475)(120, 476)(121, 477)(122, 478)(123, 479)(124, 480)(125, 481)(126, 482)(127, 483)(128, 484)(129, 485)(130, 486)(131, 487)(132, 488)(133, 489)(134, 490)(135, 491)(136, 492)(137, 493)(138, 494)(139, 496)(140, 497)(141, 498)(142, 499)(143, 451)(144, 503)(145, 504)(146, 507)(147, 508)(148, 455)(149, 464)(150, 460)(151, 528)(152, 527)(153, 500)(154, 462)(155, 526)(156, 525)(157, 501)(158, 502)(159, 505)(160, 506)(161, 510)(162, 509)(163, 512)(164, 511)(165, 514)(166, 513)(167, 516)(168, 515)(169, 518)(170, 517)(171, 520)(172, 519)(173, 522)(174, 521)(175, 524)(176, 523)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	local type(s) :: { ( 4, 88 ), ( 4, 88, 4, 88, 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible
Dual of E21.2907
Graph:: simple bipartite
	v = 220 e = 352 f = 92
	degree seq :: [ 2^176, 8^44 ]

E21.2909 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 8})
Quotient :: edge
Aut^+ = (C4 . (C4 x C4)) : C3 (small group id <192, 4>)
Aut   = $<384, 570>$ (small group id <384, 570>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^8, T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1, T2 * T1 * T2^4 * T1^-1 * T2^3, T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 59, 39, 15, 5)(2, 6, 17, 42, 98, 51, 21, 7)(4, 11, 30, 70, 128, 78, 33, 12)(8, 22, 52, 119, 91, 122, 55, 23)(10, 27, 64, 136, 92, 142, 67, 28)(13, 34, 80, 127, 58, 126, 84, 35)(14, 36, 86, 116, 60, 95, 40, 16)(18, 44, 103, 170, 117, 140, 66, 45)(19, 46, 107, 166, 97, 159, 110, 47)(20, 48, 112, 153, 99, 129, 68, 29)(24, 56, 123, 89, 37, 88, 125, 57)(26, 61, 130, 79, 38, 90, 133, 62)(31, 72, 147, 137, 154, 172, 105, 73)(32, 74, 81, 155, 143, 176, 132, 75)(41, 96, 165, 114, 49, 113, 120, 53)(43, 100, 167, 106, 50, 115, 168, 101)(54, 85, 83, 158, 177, 164, 134, 63)(65, 138, 183, 182, 186, 188, 150, 139)(69, 141, 181, 152, 76, 135, 163, 93)(71, 144, 187, 149, 77, 87, 161, 145)(82, 156, 104, 171, 180, 179, 185, 157)(94, 111, 109, 175, 160, 131, 169, 102)(108, 173, 148, 184, 191, 190, 192, 174)(118, 151, 189, 162, 121, 178, 146, 124)(193, 194, 196)(195, 200, 202)(197, 205, 206)(198, 208, 210)(199, 211, 212)(201, 216, 218)(203, 221, 223)(204, 224, 214)(207, 229, 230)(209, 233, 235)(213, 241, 242)(215, 245, 246)(217, 250, 252)(219, 255, 257)(220, 258, 248)(222, 261, 263)(225, 268, 269)(226, 271, 273)(227, 274, 275)(228, 277, 279)(231, 283, 284)(232, 285, 286)(234, 289, 291)(236, 294, 296)(237, 297, 288)(238, 298, 272)(239, 300, 301)(240, 303, 282)(243, 308, 309)(244, 310, 307)(247, 313, 292)(249, 316, 260)(251, 290, 320)(253, 321, 323)(254, 324, 318)(256, 327, 329)(259, 333, 265)(262, 335, 314)(264, 338, 340)(266, 341, 299)(267, 342, 343)(270, 345, 346)(276, 351, 293)(278, 344, 352)(280, 328, 295)(281, 354, 304)(287, 356, 336)(302, 368, 337)(305, 362, 339)(306, 369, 311)(312, 365, 353)(315, 371, 359)(317, 348, 360)(319, 372, 326)(322, 373, 374)(325, 355, 331)(330, 363, 376)(332, 367, 377)(334, 350, 378)(347, 375, 370)(349, 366, 380)(357, 382, 379)(358, 383, 361)(364, 381, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 6^3 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2910
Transitivity :: ET+
Graph:: simple bipartite
	v = 88 e = 192 f = 64
	degree seq :: [ 3^64, 8^24 ]

E21.2910 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 8})
Quotient :: loop
Aut^+ = (C4 . (C4 x C4)) : C3 (small group id <192, 4>)
Aut   = $<384, 570>$ (small group id <384, 570>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1 * T2^-1 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195, 5, 197)(2, 194, 6, 198, 7, 199)(4, 196, 10, 202, 11, 203)(8, 200, 18, 210, 19, 211)(9, 201, 20, 212, 21, 213)(12, 204, 26, 218, 27, 219)(13, 205, 28, 220, 29, 221)(14, 206, 30, 222, 31, 223)(15, 207, 32, 224, 33, 225)(16, 208, 34, 226, 35, 227)(17, 209, 36, 228, 37, 229)(22, 214, 46, 238, 47, 239)(23, 215, 48, 240, 49, 241)(24, 216, 50, 242, 51, 243)(25, 217, 52, 244, 53, 245)(38, 230, 78, 270, 79, 271)(39, 231, 80, 272, 69, 261)(40, 232, 81, 273, 82, 274)(41, 233, 83, 275, 65, 257)(42, 234, 84, 276, 85, 277)(43, 235, 86, 278, 87, 279)(44, 236, 88, 280, 89, 281)(45, 237, 90, 282, 91, 283)(54, 246, 105, 297, 76, 268)(55, 247, 106, 298, 68, 260)(56, 248, 107, 299, 108, 300)(57, 249, 109, 301, 110, 302)(58, 250, 101, 293, 74, 266)(59, 251, 111, 303, 112, 304)(60, 252, 98, 290, 113, 305)(61, 253, 114, 306, 115, 307)(62, 254, 116, 308, 117, 309)(63, 255, 118, 310, 97, 289)(64, 256, 119, 311, 120, 312)(66, 258, 121, 313, 122, 314)(67, 259, 123, 315, 124, 316)(70, 262, 125, 317, 103, 295)(71, 263, 126, 318, 96, 288)(72, 264, 127, 319, 128, 320)(73, 265, 129, 321, 130, 322)(75, 267, 131, 323, 132, 324)(77, 269, 133, 325, 134, 326)(92, 284, 147, 339, 148, 340)(93, 285, 149, 341, 150, 342)(94, 286, 151, 343, 152, 344)(95, 287, 143, 335, 153, 345)(99, 291, 154, 346, 155, 347)(100, 292, 156, 348, 157, 349)(102, 294, 158, 350, 159, 351)(104, 296, 160, 352, 161, 353)(135, 327, 184, 376, 183, 375)(136, 328, 175, 367, 144, 336)(137, 329, 185, 377, 173, 365)(138, 330, 176, 368, 168, 360)(139, 331, 165, 357, 186, 378)(140, 332, 181, 373, 145, 337)(141, 333, 167, 359, 182, 374)(142, 334, 187, 379, 178, 370)(146, 338, 179, 371, 172, 364)(162, 354, 189, 381, 177, 369)(163, 355, 174, 366, 166, 358)(164, 356, 180, 372, 169, 361)(170, 362, 188, 380, 191, 383)(171, 363, 192, 384, 190, 382)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 204)(6, 206)(7, 208)(8, 201)(9, 195)(10, 214)(11, 216)(12, 205)(13, 197)(14, 207)(15, 198)(16, 209)(17, 199)(18, 230)(19, 232)(20, 234)(21, 236)(22, 215)(23, 202)(24, 217)(25, 203)(26, 246)(27, 248)(28, 250)(29, 252)(30, 254)(31, 256)(32, 258)(33, 260)(34, 262)(35, 264)(36, 266)(37, 268)(38, 231)(39, 210)(40, 233)(41, 211)(42, 235)(43, 212)(44, 237)(45, 213)(46, 284)(47, 285)(48, 286)(49, 288)(50, 290)(51, 291)(52, 293)(53, 295)(54, 247)(55, 218)(56, 249)(57, 219)(58, 251)(59, 220)(60, 253)(61, 221)(62, 255)(63, 222)(64, 257)(65, 223)(66, 259)(67, 224)(68, 261)(69, 225)(70, 263)(71, 226)(72, 265)(73, 227)(74, 267)(75, 228)(76, 269)(77, 229)(78, 327)(79, 329)(80, 330)(81, 332)(82, 319)(83, 239)(84, 334)(85, 318)(86, 315)(87, 323)(88, 242)(89, 321)(90, 238)(91, 337)(92, 282)(93, 275)(94, 287)(95, 240)(96, 289)(97, 241)(98, 280)(99, 292)(100, 243)(101, 294)(102, 244)(103, 296)(104, 245)(105, 354)(106, 348)(107, 356)(108, 320)(109, 277)(110, 271)(111, 357)(112, 341)(113, 359)(114, 276)(115, 361)(116, 363)(117, 365)(118, 366)(119, 368)(120, 346)(121, 370)(122, 281)(123, 335)(124, 350)(125, 372)(126, 301)(127, 333)(128, 347)(129, 314)(130, 309)(131, 336)(132, 273)(133, 313)(134, 374)(135, 328)(136, 270)(137, 302)(138, 331)(139, 272)(140, 324)(141, 274)(142, 306)(143, 278)(144, 279)(145, 338)(146, 283)(147, 380)(148, 377)(149, 358)(150, 299)(151, 379)(152, 298)(153, 303)(154, 369)(155, 300)(156, 344)(157, 340)(158, 371)(159, 311)(160, 343)(161, 381)(162, 355)(163, 297)(164, 342)(165, 345)(166, 304)(167, 360)(168, 305)(169, 362)(170, 307)(171, 364)(172, 308)(173, 322)(174, 367)(175, 310)(176, 351)(177, 312)(178, 325)(179, 316)(180, 373)(181, 317)(182, 375)(183, 326)(184, 384)(185, 349)(186, 339)(187, 352)(188, 378)(189, 382)(190, 353)(191, 376)(192, 383)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2909
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 64 e = 192 f = 88
	degree seq :: [ 6^64 ]

E21.2911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 8})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C3 (small group id <192, 4>)
Aut   = $<384, 570>$ (small group id <384, 570>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^8, Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1, Y2^-4 * Y1^-1 * Y2^-4 * Y1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 13, 205, 14, 206)(6, 198, 16, 208, 18, 210)(7, 199, 19, 211, 20, 212)(9, 201, 24, 216, 26, 218)(11, 203, 29, 221, 31, 223)(12, 204, 32, 224, 22, 214)(15, 207, 37, 229, 38, 230)(17, 209, 41, 233, 43, 235)(21, 213, 49, 241, 50, 242)(23, 215, 53, 245, 54, 246)(25, 217, 58, 250, 60, 252)(27, 219, 63, 255, 65, 257)(28, 220, 66, 258, 56, 248)(30, 222, 69, 261, 71, 263)(33, 225, 76, 268, 77, 269)(34, 226, 79, 271, 81, 273)(35, 227, 82, 274, 83, 275)(36, 228, 85, 277, 87, 279)(39, 231, 91, 283, 92, 284)(40, 232, 93, 285, 94, 286)(42, 234, 97, 289, 99, 291)(44, 236, 102, 294, 104, 296)(45, 237, 105, 297, 96, 288)(46, 238, 106, 298, 80, 272)(47, 239, 108, 300, 109, 301)(48, 240, 111, 303, 90, 282)(51, 243, 116, 308, 117, 309)(52, 244, 118, 310, 115, 307)(55, 247, 121, 313, 100, 292)(57, 249, 124, 316, 68, 260)(59, 251, 98, 290, 128, 320)(61, 253, 129, 321, 131, 323)(62, 254, 132, 324, 126, 318)(64, 256, 135, 327, 137, 329)(67, 259, 141, 333, 73, 265)(70, 262, 143, 335, 122, 314)(72, 264, 146, 338, 148, 340)(74, 266, 149, 341, 107, 299)(75, 267, 150, 342, 151, 343)(78, 270, 153, 345, 154, 346)(84, 276, 159, 351, 101, 293)(86, 278, 152, 344, 160, 352)(88, 280, 136, 328, 103, 295)(89, 281, 162, 354, 112, 304)(95, 287, 164, 356, 144, 336)(110, 302, 176, 368, 145, 337)(113, 305, 170, 362, 147, 339)(114, 306, 177, 369, 119, 311)(120, 312, 173, 365, 161, 353)(123, 315, 179, 371, 167, 359)(125, 317, 156, 348, 168, 360)(127, 319, 180, 372, 134, 326)(130, 322, 181, 373, 182, 374)(133, 325, 163, 355, 139, 331)(138, 330, 171, 363, 184, 376)(140, 332, 175, 367, 185, 377)(142, 334, 158, 350, 186, 378)(155, 347, 183, 375, 178, 370)(157, 349, 174, 366, 188, 380)(165, 357, 190, 382, 187, 379)(166, 358, 191, 383, 169, 361)(172, 364, 189, 381, 192, 384)(385, 577, 387, 579, 393, 585, 409, 601, 443, 635, 423, 615, 399, 591, 389, 581)(386, 578, 390, 582, 401, 593, 426, 618, 482, 674, 435, 627, 405, 597, 391, 583)(388, 580, 395, 587, 414, 606, 454, 646, 512, 704, 462, 654, 417, 609, 396, 588)(392, 584, 406, 598, 436, 628, 503, 695, 475, 667, 506, 698, 439, 631, 407, 599)(394, 586, 411, 603, 448, 640, 520, 712, 476, 668, 526, 718, 451, 643, 412, 604)(397, 589, 418, 610, 464, 656, 511, 703, 442, 634, 510, 702, 468, 660, 419, 611)(398, 590, 420, 612, 470, 662, 500, 692, 444, 636, 479, 671, 424, 616, 400, 592)(402, 594, 428, 620, 487, 679, 554, 746, 501, 693, 524, 716, 450, 642, 429, 621)(403, 595, 430, 622, 491, 683, 550, 742, 481, 673, 543, 735, 494, 686, 431, 623)(404, 596, 432, 624, 496, 688, 537, 729, 483, 675, 513, 705, 452, 644, 413, 605)(408, 600, 440, 632, 507, 699, 473, 665, 421, 613, 472, 664, 509, 701, 441, 633)(410, 602, 445, 637, 514, 706, 463, 655, 422, 614, 474, 666, 517, 709, 446, 638)(415, 607, 456, 648, 531, 723, 521, 713, 538, 730, 556, 748, 489, 681, 457, 649)(416, 608, 458, 650, 465, 657, 539, 731, 527, 719, 560, 752, 516, 708, 459, 651)(425, 617, 480, 672, 549, 741, 498, 690, 433, 625, 497, 689, 504, 696, 437, 629)(427, 619, 484, 676, 551, 743, 490, 682, 434, 626, 499, 691, 552, 744, 485, 677)(438, 630, 469, 661, 467, 659, 542, 734, 561, 753, 548, 740, 518, 710, 447, 639)(449, 641, 522, 714, 567, 759, 566, 758, 570, 762, 572, 764, 534, 726, 523, 715)(453, 645, 525, 717, 565, 757, 536, 728, 460, 652, 519, 711, 547, 739, 477, 669)(455, 647, 528, 720, 571, 763, 533, 725, 461, 653, 471, 663, 545, 737, 529, 721)(466, 658, 540, 732, 488, 680, 555, 747, 564, 756, 563, 755, 569, 761, 541, 733)(478, 670, 495, 687, 493, 685, 559, 751, 544, 736, 515, 707, 553, 745, 486, 678)(492, 684, 557, 749, 532, 724, 568, 760, 575, 767, 574, 766, 576, 768, 558, 750)(502, 694, 535, 727, 573, 765, 546, 738, 505, 697, 562, 754, 530, 722, 508, 700)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 401)(7, 386)(8, 406)(9, 409)(10, 411)(11, 414)(12, 388)(13, 418)(14, 420)(15, 389)(16, 398)(17, 426)(18, 428)(19, 430)(20, 432)(21, 391)(22, 436)(23, 392)(24, 440)(25, 443)(26, 445)(27, 448)(28, 394)(29, 404)(30, 454)(31, 456)(32, 458)(33, 396)(34, 464)(35, 397)(36, 470)(37, 472)(38, 474)(39, 399)(40, 400)(41, 480)(42, 482)(43, 484)(44, 487)(45, 402)(46, 491)(47, 403)(48, 496)(49, 497)(50, 499)(51, 405)(52, 503)(53, 425)(54, 469)(55, 407)(56, 507)(57, 408)(58, 510)(59, 423)(60, 479)(61, 514)(62, 410)(63, 438)(64, 520)(65, 522)(66, 429)(67, 412)(68, 413)(69, 525)(70, 512)(71, 528)(72, 531)(73, 415)(74, 465)(75, 416)(76, 519)(77, 471)(78, 417)(79, 422)(80, 511)(81, 539)(82, 540)(83, 542)(84, 419)(85, 467)(86, 500)(87, 545)(88, 509)(89, 421)(90, 517)(91, 506)(92, 526)(93, 453)(94, 495)(95, 424)(96, 549)(97, 543)(98, 435)(99, 513)(100, 551)(101, 427)(102, 478)(103, 554)(104, 555)(105, 457)(106, 434)(107, 550)(108, 557)(109, 559)(110, 431)(111, 493)(112, 537)(113, 504)(114, 433)(115, 552)(116, 444)(117, 524)(118, 535)(119, 475)(120, 437)(121, 562)(122, 439)(123, 473)(124, 502)(125, 441)(126, 468)(127, 442)(128, 462)(129, 452)(130, 463)(131, 553)(132, 459)(133, 446)(134, 447)(135, 547)(136, 476)(137, 538)(138, 567)(139, 449)(140, 450)(141, 565)(142, 451)(143, 560)(144, 571)(145, 455)(146, 508)(147, 521)(148, 568)(149, 461)(150, 523)(151, 573)(152, 460)(153, 483)(154, 556)(155, 527)(156, 488)(157, 466)(158, 561)(159, 494)(160, 515)(161, 529)(162, 505)(163, 477)(164, 518)(165, 498)(166, 481)(167, 490)(168, 485)(169, 486)(170, 501)(171, 564)(172, 489)(173, 532)(174, 492)(175, 544)(176, 516)(177, 548)(178, 530)(179, 569)(180, 563)(181, 536)(182, 570)(183, 566)(184, 575)(185, 541)(186, 572)(187, 533)(188, 534)(189, 546)(190, 576)(191, 574)(192, 558)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2912
Graph:: bipartite
	v = 88 e = 384 f = 256
	degree seq :: [ 6^64, 16^24 ]

E21.2912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 8})
Quotient :: dipole
Aut^+ = (C4 . (C4 x C4)) : C3 (small group id <192, 4>)
Aut   = $<384, 570>$ (small group id <384, 570>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^8, Y3^-2 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2, Y2 * Y3^-4 * Y2^-1 * Y3^-4, Y3 * Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^2 * Y2^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578, 388, 580)(387, 579, 392, 584, 394, 586)(389, 581, 397, 589, 398, 590)(390, 582, 400, 592, 402, 594)(391, 583, 403, 595, 404, 596)(393, 585, 408, 600, 410, 602)(395, 587, 412, 604, 414, 606)(396, 588, 415, 607, 416, 608)(399, 591, 421, 613, 422, 614)(401, 593, 426, 618, 428, 620)(405, 597, 433, 625, 434, 626)(406, 598, 436, 628, 438, 630)(407, 599, 439, 631, 440, 632)(409, 601, 444, 636, 446, 638)(411, 603, 448, 640, 449, 641)(413, 605, 453, 645, 455, 647)(417, 609, 460, 652, 461, 653)(418, 610, 463, 655, 465, 657)(419, 611, 466, 658, 468, 660)(420, 612, 469, 661, 470, 662)(423, 615, 475, 667, 476, 668)(424, 616, 477, 669, 479, 671)(425, 617, 480, 672, 441, 633)(427, 619, 484, 676, 486, 678)(429, 621, 488, 680, 447, 639)(430, 622, 490, 682, 492, 684)(431, 623, 493, 685, 494, 686)(432, 624, 495, 687, 496, 688)(435, 627, 500, 692, 501, 693)(437, 629, 504, 696, 498, 690)(442, 634, 510, 702, 489, 681)(443, 635, 512, 704, 497, 689)(445, 637, 485, 677, 516, 708)(450, 642, 520, 712, 521, 713)(451, 643, 522, 714, 524, 716)(452, 644, 525, 717, 481, 673)(454, 646, 527, 719, 528, 720)(456, 648, 529, 721, 487, 679)(457, 649, 472, 664, 531, 723)(458, 650, 467, 659, 532, 724)(459, 651, 533, 725, 534, 726)(462, 654, 538, 730, 515, 707)(464, 656, 540, 732, 499, 691)(471, 663, 526, 718, 545, 737)(473, 665, 523, 715, 505, 697)(474, 666, 530, 722, 546, 738)(478, 670, 549, 741, 536, 728)(482, 674, 553, 745, 514, 706)(483, 675, 555, 747, 535, 727)(491, 683, 558, 750, 537, 729)(502, 694, 547, 739, 563, 755)(503, 695, 556, 748, 513, 705)(506, 698, 564, 756, 517, 709)(507, 699, 565, 757, 566, 758)(508, 700, 567, 759, 568, 760)(509, 701, 569, 761, 542, 734)(511, 703, 571, 763, 551, 743)(518, 710, 557, 749, 543, 735)(519, 711, 539, 731, 548, 740)(541, 733, 550, 742, 562, 754)(544, 736, 561, 753, 573, 765)(552, 744, 575, 767, 560, 752)(554, 746, 576, 768, 572, 764)(559, 751, 570, 762, 574, 766)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 401)(7, 386)(8, 406)(9, 409)(10, 403)(11, 413)(12, 388)(13, 418)(14, 419)(15, 389)(16, 424)(17, 427)(18, 415)(19, 430)(20, 431)(21, 391)(22, 437)(23, 392)(24, 442)(25, 445)(26, 439)(27, 394)(28, 451)(29, 454)(30, 397)(31, 457)(32, 458)(33, 396)(34, 464)(35, 467)(36, 398)(37, 472)(38, 473)(39, 399)(40, 478)(41, 400)(42, 482)(43, 485)(44, 480)(45, 402)(46, 491)(47, 466)(48, 404)(49, 463)(50, 498)(51, 405)(52, 502)(53, 505)(54, 448)(55, 507)(56, 452)(57, 407)(58, 511)(59, 408)(60, 514)(61, 423)(62, 512)(63, 410)(64, 465)(65, 455)(66, 411)(67, 523)(68, 412)(69, 520)(70, 516)(71, 525)(72, 414)(73, 530)(74, 493)(75, 416)(76, 490)(77, 536)(78, 417)(79, 539)(80, 515)(81, 469)(82, 541)(83, 517)(84, 421)(85, 542)(86, 543)(87, 420)(88, 513)(89, 518)(90, 422)(91, 509)(92, 484)(93, 547)(94, 504)(95, 488)(96, 551)(97, 425)(98, 554)(99, 426)(100, 450)(101, 435)(102, 555)(103, 428)(104, 492)(105, 429)(106, 557)(107, 476)(108, 495)(109, 559)(110, 433)(111, 560)(112, 503)(113, 432)(114, 556)(115, 434)(116, 552)(117, 527)(118, 562)(119, 436)(120, 500)(121, 475)(122, 438)(123, 474)(124, 440)(125, 441)(126, 570)(127, 468)(128, 471)(129, 443)(130, 456)(131, 444)(132, 462)(133, 446)(134, 447)(135, 449)(136, 565)(137, 550)(138, 563)(139, 549)(140, 529)(141, 572)(142, 453)(143, 489)(144, 545)(145, 531)(146, 501)(147, 533)(148, 460)(149, 568)(150, 548)(151, 459)(152, 519)(153, 461)(154, 508)(155, 483)(156, 510)(157, 486)(158, 558)(159, 522)(160, 470)(161, 535)(162, 521)(163, 574)(164, 477)(165, 538)(166, 479)(167, 499)(168, 481)(169, 506)(170, 494)(171, 497)(172, 487)(173, 526)(174, 553)(175, 528)(176, 546)(177, 496)(178, 571)(179, 564)(180, 566)(181, 532)(182, 567)(183, 544)(184, 540)(185, 561)(186, 524)(187, 569)(188, 537)(189, 534)(190, 576)(191, 573)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2911
Graph:: simple bipartite
	v = 256 e = 384 f = 88
	degree seq :: [ 2^192, 6^64 ]

E21.2913 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 8})
Quotient :: edge
Aut^+ = (C8 x C8) : C3 (small group id <192, 3>)
Aut   = $<384, 568>$ (small group id <384, 568>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^3, (T1 * T2^-1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1^-1)^3, (T2^-1 * T1)^3, T2^8, T2^-4 * T1 * T2^-1 * T1^-1 * T2^3 * T1^-1 * T2^-1 * T1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 25, 54, 37, 15, 5)(2, 6, 17, 40, 79, 47, 21, 7)(4, 11, 29, 61, 108, 66, 32, 12)(8, 22, 48, 90, 143, 92, 50, 23)(10, 19, 43, 84, 136, 104, 58, 27)(13, 33, 68, 116, 166, 111, 63, 30)(14, 34, 69, 117, 126, 76, 38, 16)(18, 31, 57, 100, 152, 134, 82, 42)(20, 44, 85, 137, 159, 105, 59, 28)(24, 51, 65, 112, 167, 146, 94, 52)(26, 49, 45, 86, 139, 156, 101, 56)(35, 71, 120, 172, 165, 110, 62, 70)(36, 72, 121, 173, 128, 77, 39, 67)(41, 75, 64, 102, 154, 183, 133, 81)(46, 87, 140, 186, 160, 106, 60, 83)(53, 95, 103, 114, 168, 189, 148, 96)(55, 93, 91, 88, 141, 187, 153, 99)(73, 123, 175, 191, 164, 109, 118, 122)(74, 124, 176, 180, 129, 78, 115, 119)(80, 127, 125, 113, 157, 190, 182, 132)(89, 142, 188, 192, 161, 107, 135, 138)(97, 149, 155, 158, 163, 170, 174, 150)(98, 147, 145, 144, 130, 169, 171, 151)(131, 179, 178, 177, 162, 184, 185, 181)(193, 194, 196)(195, 200, 202)(197, 205, 206)(198, 208, 210)(199, 211, 212)(201, 216, 218)(203, 220, 222)(204, 223, 214)(207, 227, 228)(209, 231, 233)(213, 237, 238)(215, 241, 236)(217, 245, 247)(219, 249, 243)(221, 252, 254)(224, 256, 257)(225, 259, 234)(226, 251, 262)(229, 265, 266)(230, 267, 240)(232, 270, 272)(235, 275, 255)(239, 280, 281)(242, 283, 279)(244, 285, 277)(246, 289, 290)(248, 292, 287)(250, 294, 295)(253, 299, 301)(258, 305, 306)(260, 307, 273)(261, 298, 310)(263, 311, 274)(264, 297, 314)(268, 317, 304)(269, 319, 282)(271, 322, 323)(276, 327, 302)(278, 330, 303)(284, 336, 334)(286, 337, 332)(288, 339, 329)(291, 344, 341)(293, 346, 347)(296, 349, 350)(300, 354, 355)(308, 361, 324)(309, 353, 362)(312, 363, 325)(313, 352, 366)(315, 343, 326)(316, 351, 342)(318, 369, 360)(320, 370, 359)(321, 371, 335)(328, 376, 356)(331, 377, 357)(333, 373, 358)(338, 372, 380)(340, 368, 378)(345, 375, 367)(348, 382, 383)(364, 379, 374)(365, 384, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 6^3 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2914
Transitivity :: ET+
Graph:: simple bipartite
	v = 88 e = 192 f = 64
	degree seq :: [ 3^64, 8^24 ]

E21.2914 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 8})
Quotient :: loop
Aut^+ = (C8 x C8) : C3 (small group id <192, 3>)
Aut   = $<384, 568>$ (small group id <384, 568>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T2^-1 * T1^-1)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195, 5, 197)(2, 194, 6, 198, 7, 199)(4, 196, 10, 202, 11, 203)(8, 200, 18, 210, 19, 211)(9, 201, 16, 208, 20, 212)(12, 204, 25, 217, 22, 214)(13, 205, 26, 218, 27, 219)(14, 206, 28, 220, 29, 221)(15, 207, 23, 215, 30, 222)(17, 209, 31, 223, 32, 224)(21, 213, 38, 230, 39, 231)(24, 216, 40, 232, 41, 233)(33, 225, 53, 245, 54, 246)(34, 226, 36, 228, 55, 247)(35, 227, 56, 248, 57, 249)(37, 229, 51, 243, 58, 250)(42, 234, 64, 256, 60, 252)(43, 235, 44, 236, 65, 257)(45, 237, 66, 258, 67, 259)(46, 238, 68, 260, 69, 261)(47, 239, 49, 241, 70, 262)(48, 240, 71, 263, 72, 264)(50, 242, 62, 254, 73, 265)(52, 244, 74, 266, 75, 267)(59, 251, 84, 276, 85, 277)(61, 253, 86, 278, 87, 279)(63, 255, 88, 280, 89, 281)(76, 268, 106, 298, 107, 299)(77, 269, 79, 271, 108, 300)(78, 270, 109, 301, 110, 302)(80, 272, 82, 274, 111, 303)(81, 273, 112, 304, 113, 305)(83, 275, 104, 296, 114, 306)(90, 282, 121, 313, 116, 308)(91, 283, 92, 284, 122, 314)(93, 285, 94, 286, 123, 315)(95, 287, 124, 316, 125, 317)(96, 288, 126, 318, 127, 319)(97, 289, 99, 291, 128, 320)(98, 290, 129, 321, 130, 322)(100, 292, 102, 294, 131, 323)(101, 293, 132, 324, 133, 325)(103, 295, 119, 311, 134, 326)(105, 297, 135, 327, 136, 328)(115, 307, 148, 340, 149, 341)(117, 309, 150, 342, 151, 343)(118, 310, 152, 344, 153, 345)(120, 312, 154, 346, 137, 329)(138, 330, 140, 332, 170, 362)(139, 331, 172, 364, 173, 365)(141, 333, 143, 335, 174, 366)(142, 334, 175, 367, 176, 368)(144, 336, 146, 338, 177, 369)(145, 337, 178, 370, 162, 354)(147, 339, 171, 363, 155, 347)(156, 348, 157, 349, 181, 373)(158, 350, 159, 351, 182, 374)(160, 352, 161, 353, 163, 355)(164, 356, 166, 358, 183, 375)(165, 357, 184, 376, 185, 377)(167, 359, 169, 361, 186, 378)(168, 360, 187, 379, 179, 371)(180, 372, 191, 383, 188, 380)(189, 381, 190, 382, 192, 384)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 204)(6, 206)(7, 208)(8, 201)(9, 195)(10, 213)(11, 215)(12, 205)(13, 197)(14, 207)(15, 198)(16, 209)(17, 199)(18, 225)(19, 218)(20, 228)(21, 214)(22, 202)(23, 216)(24, 203)(25, 234)(26, 227)(27, 236)(28, 238)(29, 223)(30, 241)(31, 240)(32, 243)(33, 226)(34, 210)(35, 211)(36, 229)(37, 212)(38, 251)(39, 232)(40, 253)(41, 254)(42, 235)(43, 217)(44, 237)(45, 219)(46, 239)(47, 220)(48, 221)(49, 242)(50, 222)(51, 244)(52, 224)(53, 268)(54, 248)(55, 271)(56, 270)(57, 258)(58, 274)(59, 252)(60, 230)(61, 231)(62, 255)(63, 233)(64, 282)(65, 284)(66, 273)(67, 286)(68, 288)(69, 263)(70, 291)(71, 290)(72, 266)(73, 294)(74, 293)(75, 296)(76, 269)(77, 245)(78, 246)(79, 272)(80, 247)(81, 249)(82, 275)(83, 250)(84, 307)(85, 278)(86, 309)(87, 280)(88, 310)(89, 311)(90, 283)(91, 256)(92, 285)(93, 257)(94, 287)(95, 259)(96, 289)(97, 260)(98, 261)(99, 292)(100, 262)(101, 264)(102, 295)(103, 265)(104, 297)(105, 267)(106, 329)(107, 301)(108, 332)(109, 331)(110, 304)(111, 335)(112, 334)(113, 316)(114, 338)(115, 308)(116, 276)(117, 277)(118, 279)(119, 312)(120, 281)(121, 347)(122, 349)(123, 351)(124, 337)(125, 353)(126, 317)(127, 321)(128, 355)(129, 354)(130, 324)(131, 358)(132, 357)(133, 327)(134, 361)(135, 360)(136, 363)(137, 330)(138, 298)(139, 299)(140, 333)(141, 300)(142, 302)(143, 336)(144, 303)(145, 305)(146, 339)(147, 306)(148, 328)(149, 342)(150, 371)(151, 344)(152, 372)(153, 346)(154, 364)(155, 348)(156, 313)(157, 350)(158, 314)(159, 352)(160, 315)(161, 318)(162, 319)(163, 356)(164, 320)(165, 322)(166, 359)(167, 323)(168, 325)(169, 362)(170, 326)(171, 340)(172, 345)(173, 367)(174, 378)(175, 380)(176, 370)(177, 382)(178, 376)(179, 341)(180, 343)(181, 369)(182, 384)(183, 374)(184, 368)(185, 379)(186, 381)(187, 383)(188, 365)(189, 366)(190, 373)(191, 377)(192, 375)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2913
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 64 e = 192 f = 88
	degree seq :: [ 6^64 ]

E21.2915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 8})
Quotient :: dipole
Aut^+ = (C8 x C8) : C3 (small group id <192, 3>)
Aut   = $<384, 568>$ (small group id <384, 568>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^3, (Y2^-1 * Y1^-1)^3, (Y2^-1 * Y1)^3, (Y2 * Y1)^3, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^8, Y2^-4 * Y1 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-1 * Y1 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 13, 205, 14, 206)(6, 198, 16, 208, 18, 210)(7, 199, 19, 211, 20, 212)(9, 201, 24, 216, 26, 218)(11, 203, 28, 220, 30, 222)(12, 204, 31, 223, 22, 214)(15, 207, 35, 227, 36, 228)(17, 209, 39, 231, 41, 233)(21, 213, 45, 237, 46, 238)(23, 215, 49, 241, 44, 236)(25, 217, 53, 245, 55, 247)(27, 219, 57, 249, 51, 243)(29, 221, 60, 252, 62, 254)(32, 224, 64, 256, 65, 257)(33, 225, 67, 259, 42, 234)(34, 226, 59, 251, 70, 262)(37, 229, 73, 265, 74, 266)(38, 230, 75, 267, 48, 240)(40, 232, 78, 270, 80, 272)(43, 235, 83, 275, 63, 255)(47, 239, 88, 280, 89, 281)(50, 242, 91, 283, 87, 279)(52, 244, 93, 285, 85, 277)(54, 246, 97, 289, 98, 290)(56, 248, 100, 292, 95, 287)(58, 250, 102, 294, 103, 295)(61, 253, 107, 299, 109, 301)(66, 258, 113, 305, 114, 306)(68, 260, 115, 307, 81, 273)(69, 261, 106, 298, 118, 310)(71, 263, 119, 311, 82, 274)(72, 264, 105, 297, 122, 314)(76, 268, 125, 317, 112, 304)(77, 269, 127, 319, 90, 282)(79, 271, 130, 322, 131, 323)(84, 276, 135, 327, 110, 302)(86, 278, 138, 330, 111, 303)(92, 284, 144, 336, 142, 334)(94, 286, 145, 337, 140, 332)(96, 288, 147, 339, 137, 329)(99, 291, 152, 344, 149, 341)(101, 293, 154, 346, 155, 347)(104, 296, 157, 349, 158, 350)(108, 300, 162, 354, 163, 355)(116, 308, 169, 361, 132, 324)(117, 309, 161, 353, 170, 362)(120, 312, 171, 363, 133, 325)(121, 313, 160, 352, 174, 366)(123, 315, 151, 343, 134, 326)(124, 316, 159, 351, 150, 342)(126, 318, 177, 369, 168, 360)(128, 320, 178, 370, 167, 359)(129, 321, 179, 371, 143, 335)(136, 328, 184, 376, 164, 356)(139, 331, 185, 377, 165, 357)(141, 333, 181, 373, 166, 358)(146, 338, 180, 372, 188, 380)(148, 340, 176, 368, 186, 378)(153, 345, 183, 375, 175, 367)(156, 348, 190, 382, 191, 383)(172, 364, 187, 379, 182, 374)(173, 365, 192, 384, 189, 381)(385, 577, 387, 579, 393, 585, 409, 601, 438, 630, 421, 613, 399, 591, 389, 581)(386, 578, 390, 582, 401, 593, 424, 616, 463, 655, 431, 623, 405, 597, 391, 583)(388, 580, 395, 587, 413, 605, 445, 637, 492, 684, 450, 642, 416, 608, 396, 588)(392, 584, 406, 598, 432, 624, 474, 666, 527, 719, 476, 668, 434, 626, 407, 599)(394, 586, 403, 595, 427, 619, 468, 660, 520, 712, 488, 680, 442, 634, 411, 603)(397, 589, 417, 609, 452, 644, 500, 692, 550, 742, 495, 687, 447, 639, 414, 606)(398, 590, 418, 610, 453, 645, 501, 693, 510, 702, 460, 652, 422, 614, 400, 592)(402, 594, 415, 607, 441, 633, 484, 676, 536, 728, 518, 710, 466, 658, 426, 618)(404, 596, 428, 620, 469, 661, 521, 713, 543, 735, 489, 681, 443, 635, 412, 604)(408, 600, 435, 627, 449, 641, 496, 688, 551, 743, 530, 722, 478, 670, 436, 628)(410, 602, 433, 625, 429, 621, 470, 662, 523, 715, 540, 732, 485, 677, 440, 632)(419, 611, 455, 647, 504, 696, 556, 748, 549, 741, 494, 686, 446, 638, 454, 646)(420, 612, 456, 648, 505, 697, 557, 749, 512, 704, 461, 653, 423, 615, 451, 643)(425, 617, 459, 651, 448, 640, 486, 678, 538, 730, 567, 759, 517, 709, 465, 657)(430, 622, 471, 663, 524, 716, 570, 762, 544, 736, 490, 682, 444, 636, 467, 659)(437, 629, 479, 671, 487, 679, 498, 690, 552, 744, 573, 765, 532, 724, 480, 672)(439, 631, 477, 669, 475, 667, 472, 664, 525, 717, 571, 763, 537, 729, 483, 675)(457, 649, 507, 699, 559, 751, 575, 767, 548, 740, 493, 685, 502, 694, 506, 698)(458, 650, 508, 700, 560, 752, 564, 756, 513, 705, 462, 654, 499, 691, 503, 695)(464, 656, 511, 703, 509, 701, 497, 689, 541, 733, 574, 766, 566, 758, 516, 708)(473, 665, 526, 718, 572, 764, 576, 768, 545, 737, 491, 683, 519, 711, 522, 714)(481, 673, 533, 725, 539, 731, 542, 734, 547, 739, 554, 746, 558, 750, 534, 726)(482, 674, 531, 723, 529, 721, 528, 720, 514, 706, 553, 745, 555, 747, 535, 727)(515, 707, 563, 755, 562, 754, 561, 753, 546, 738, 568, 760, 569, 761, 565, 757)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 401)(7, 386)(8, 406)(9, 409)(10, 403)(11, 413)(12, 388)(13, 417)(14, 418)(15, 389)(16, 398)(17, 424)(18, 415)(19, 427)(20, 428)(21, 391)(22, 432)(23, 392)(24, 435)(25, 438)(26, 433)(27, 394)(28, 404)(29, 445)(30, 397)(31, 441)(32, 396)(33, 452)(34, 453)(35, 455)(36, 456)(37, 399)(38, 400)(39, 451)(40, 463)(41, 459)(42, 402)(43, 468)(44, 469)(45, 470)(46, 471)(47, 405)(48, 474)(49, 429)(50, 407)(51, 449)(52, 408)(53, 479)(54, 421)(55, 477)(56, 410)(57, 484)(58, 411)(59, 412)(60, 467)(61, 492)(62, 454)(63, 414)(64, 486)(65, 496)(66, 416)(67, 420)(68, 500)(69, 501)(70, 419)(71, 504)(72, 505)(73, 507)(74, 508)(75, 448)(76, 422)(77, 423)(78, 499)(79, 431)(80, 511)(81, 425)(82, 426)(83, 430)(84, 520)(85, 521)(86, 523)(87, 524)(88, 525)(89, 526)(90, 527)(91, 472)(92, 434)(93, 475)(94, 436)(95, 487)(96, 437)(97, 533)(98, 531)(99, 439)(100, 536)(101, 440)(102, 538)(103, 498)(104, 442)(105, 443)(106, 444)(107, 519)(108, 450)(109, 502)(110, 446)(111, 447)(112, 551)(113, 541)(114, 552)(115, 503)(116, 550)(117, 510)(118, 506)(119, 458)(120, 556)(121, 557)(122, 457)(123, 559)(124, 560)(125, 497)(126, 460)(127, 509)(128, 461)(129, 462)(130, 553)(131, 563)(132, 464)(133, 465)(134, 466)(135, 522)(136, 488)(137, 543)(138, 473)(139, 540)(140, 570)(141, 571)(142, 572)(143, 476)(144, 514)(145, 528)(146, 478)(147, 529)(148, 480)(149, 539)(150, 481)(151, 482)(152, 518)(153, 483)(154, 567)(155, 542)(156, 485)(157, 574)(158, 547)(159, 489)(160, 490)(161, 491)(162, 568)(163, 554)(164, 493)(165, 494)(166, 495)(167, 530)(168, 573)(169, 555)(170, 558)(171, 535)(172, 549)(173, 512)(174, 534)(175, 575)(176, 564)(177, 546)(178, 561)(179, 562)(180, 513)(181, 515)(182, 516)(183, 517)(184, 569)(185, 565)(186, 544)(187, 537)(188, 576)(189, 532)(190, 566)(191, 548)(192, 545)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2916
Graph:: bipartite
	v = 88 e = 384 f = 256
	degree seq :: [ 6^64, 16^24 ]

E21.2916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 8})
Quotient :: dipole
Aut^+ = (C8 x C8) : C3 (small group id <192, 3>)
Aut   = $<384, 568>$ (small group id <384, 568>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, (Y3 * Y2)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^8, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2^-1 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578, 388, 580)(387, 579, 392, 584, 394, 586)(389, 581, 397, 589, 398, 590)(390, 582, 400, 592, 402, 594)(391, 583, 403, 595, 404, 596)(393, 585, 408, 600, 410, 602)(395, 587, 412, 604, 414, 606)(396, 588, 415, 607, 406, 598)(399, 591, 419, 611, 420, 612)(401, 593, 423, 615, 425, 617)(405, 597, 429, 621, 430, 622)(407, 599, 433, 625, 428, 620)(409, 601, 437, 629, 439, 631)(411, 603, 441, 633, 435, 627)(413, 605, 444, 636, 446, 638)(416, 608, 448, 640, 449, 641)(417, 609, 451, 643, 426, 618)(418, 610, 443, 635, 454, 646)(421, 613, 457, 649, 458, 650)(422, 614, 459, 651, 432, 624)(424, 616, 462, 654, 464, 656)(427, 619, 467, 659, 447, 639)(431, 623, 472, 664, 473, 665)(434, 626, 475, 667, 471, 663)(436, 628, 477, 669, 469, 661)(438, 630, 481, 673, 482, 674)(440, 632, 484, 676, 479, 671)(442, 634, 486, 678, 487, 679)(445, 637, 491, 683, 493, 685)(450, 642, 497, 689, 498, 690)(452, 644, 499, 691, 465, 657)(453, 645, 490, 682, 502, 694)(455, 647, 503, 695, 466, 658)(456, 648, 489, 681, 506, 698)(460, 652, 509, 701, 496, 688)(461, 653, 511, 703, 474, 666)(463, 655, 514, 706, 515, 707)(468, 660, 519, 711, 494, 686)(470, 662, 522, 714, 495, 687)(476, 668, 528, 720, 526, 718)(478, 670, 529, 721, 524, 716)(480, 672, 531, 723, 521, 713)(483, 675, 536, 728, 533, 725)(485, 677, 538, 730, 539, 731)(488, 680, 541, 733, 542, 734)(492, 684, 546, 738, 547, 739)(500, 692, 553, 745, 516, 708)(501, 693, 545, 737, 554, 746)(504, 696, 555, 747, 517, 709)(505, 697, 544, 736, 558, 750)(507, 699, 535, 727, 518, 710)(508, 700, 543, 735, 534, 726)(510, 702, 561, 753, 552, 744)(512, 704, 562, 754, 551, 743)(513, 705, 563, 755, 527, 719)(520, 712, 568, 760, 548, 740)(523, 715, 569, 761, 549, 741)(525, 717, 565, 757, 550, 742)(530, 722, 564, 756, 572, 764)(532, 724, 560, 752, 570, 762)(537, 729, 567, 759, 559, 751)(540, 732, 574, 766, 575, 767)(556, 748, 571, 763, 566, 758)(557, 749, 576, 768, 573, 765)
	L = (1, 387)(2, 390)(3, 393)(4, 395)(5, 385)(6, 401)(7, 386)(8, 406)(9, 409)(10, 403)(11, 413)(12, 388)(13, 417)(14, 418)(15, 389)(16, 398)(17, 424)(18, 415)(19, 427)(20, 428)(21, 391)(22, 432)(23, 392)(24, 435)(25, 438)(26, 433)(27, 394)(28, 404)(29, 445)(30, 397)(31, 441)(32, 396)(33, 452)(34, 453)(35, 455)(36, 456)(37, 399)(38, 400)(39, 451)(40, 463)(41, 459)(42, 402)(43, 468)(44, 469)(45, 470)(46, 471)(47, 405)(48, 474)(49, 429)(50, 407)(51, 449)(52, 408)(53, 479)(54, 421)(55, 477)(56, 410)(57, 484)(58, 411)(59, 412)(60, 467)(61, 492)(62, 454)(63, 414)(64, 486)(65, 496)(66, 416)(67, 420)(68, 500)(69, 501)(70, 419)(71, 504)(72, 505)(73, 507)(74, 508)(75, 448)(76, 422)(77, 423)(78, 499)(79, 431)(80, 511)(81, 425)(82, 426)(83, 430)(84, 520)(85, 521)(86, 523)(87, 524)(88, 525)(89, 526)(90, 527)(91, 472)(92, 434)(93, 475)(94, 436)(95, 487)(96, 437)(97, 533)(98, 531)(99, 439)(100, 536)(101, 440)(102, 538)(103, 498)(104, 442)(105, 443)(106, 444)(107, 519)(108, 450)(109, 502)(110, 446)(111, 447)(112, 551)(113, 541)(114, 552)(115, 503)(116, 550)(117, 510)(118, 506)(119, 458)(120, 556)(121, 557)(122, 457)(123, 559)(124, 560)(125, 497)(126, 460)(127, 509)(128, 461)(129, 462)(130, 553)(131, 563)(132, 464)(133, 465)(134, 466)(135, 522)(136, 488)(137, 543)(138, 473)(139, 540)(140, 570)(141, 571)(142, 572)(143, 476)(144, 514)(145, 528)(146, 478)(147, 529)(148, 480)(149, 539)(150, 481)(151, 482)(152, 518)(153, 483)(154, 567)(155, 542)(156, 485)(157, 574)(158, 547)(159, 489)(160, 490)(161, 491)(162, 568)(163, 554)(164, 493)(165, 494)(166, 495)(167, 530)(168, 573)(169, 555)(170, 558)(171, 535)(172, 549)(173, 512)(174, 534)(175, 575)(176, 564)(177, 546)(178, 561)(179, 562)(180, 513)(181, 515)(182, 516)(183, 517)(184, 569)(185, 565)(186, 544)(187, 537)(188, 576)(189, 532)(190, 566)(191, 548)(192, 545)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2915
Graph:: simple bipartite
	v = 256 e = 384 f = 88
	degree seq :: [ 2^192, 6^64 ]

E21.2917 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 64, 109, 74, 114, 67, 34)(17, 35, 68, 106, 61, 105, 71, 36)(28, 55, 94, 145, 104, 148, 97, 56)(29, 57, 98, 142, 91, 141, 101, 58)(32, 62, 85, 73, 37, 72, 90, 63)(40, 76, 121, 130, 83, 129, 122, 77)(41, 78, 123, 132, 84, 131, 124, 79)(50, 86, 133, 126, 81, 125, 136, 87)(51, 88, 137, 128, 82, 127, 140, 89)(54, 92, 80, 103, 59, 102, 75, 93)(65, 111, 159, 176, 162, 170, 134, 100)(66, 112, 160, 177, 157, 168, 135, 96)(69, 116, 163, 175, 153, 169, 138, 99)(70, 117, 164, 180, 154, 167, 139, 95)(107, 147, 179, 149, 119, 146, 178, 150)(108, 155, 181, 166, 120, 165, 182, 156)(110, 158, 118, 144, 113, 161, 115, 152)(143, 172, 186, 173, 151, 171, 185, 174)(183, 187, 191, 189, 184, 188, 192, 190)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 65)(34, 66)(35, 69)(36, 70)(38, 74)(39, 75)(42, 80)(43, 81)(44, 82)(47, 83)(48, 84)(49, 85)(52, 90)(53, 91)(55, 95)(56, 96)(57, 99)(58, 100)(60, 104)(62, 107)(63, 108)(64, 110)(67, 113)(68, 115)(71, 118)(72, 119)(73, 120)(76, 117)(77, 112)(78, 116)(79, 111)(86, 134)(87, 135)(88, 138)(89, 139)(92, 143)(93, 144)(94, 146)(97, 147)(98, 149)(101, 150)(102, 151)(103, 152)(105, 153)(106, 154)(109, 157)(114, 162)(121, 165)(122, 155)(123, 166)(124, 156)(125, 159)(126, 160)(127, 163)(128, 164)(129, 167)(130, 168)(131, 169)(132, 170)(133, 171)(136, 172)(137, 173)(140, 174)(141, 175)(142, 176)(145, 177)(148, 180)(158, 183)(161, 184)(178, 187)(179, 188)(181, 189)(182, 190)(185, 191)(186, 192)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2918
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2918 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1 * T2 * T1^2)^2, (T1^2 * T2)^4, (T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1)^2, (T1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 82, 46, 32)(17, 33, 60, 102, 63, 34)(21, 40, 71, 115, 73, 41)(22, 42, 74, 117, 77, 43)(26, 50, 86, 120, 76, 51)(27, 52, 37, 67, 91, 53)(30, 56, 95, 118, 92, 54)(35, 64, 107, 121, 79, 65)(38, 68, 75, 119, 113, 69)(45, 80, 123, 116, 72, 81)(49, 85, 70, 114, 127, 83)(55, 93, 122, 162, 143, 94)(58, 98, 145, 177, 142, 99)(59, 100, 61, 103, 125, 101)(62, 104, 141, 164, 124, 105)(84, 128, 159, 155, 109, 129)(87, 132, 112, 158, 169, 133)(88, 134, 89, 136, 111, 135)(90, 137, 168, 185, 160, 138)(96, 144, 167, 131, 108, 139)(97, 130, 106, 154, 163, 140)(110, 156, 161, 186, 184, 157)(126, 165, 187, 183, 150, 166)(146, 170, 153, 176, 190, 178)(147, 179, 148, 180, 152, 173)(149, 181, 189, 174, 188, 182)(151, 171, 191, 172, 192, 175)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 64)(39, 70)(40, 60)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(51, 88)(52, 89)(53, 90)(56, 96)(57, 97)(63, 106)(65, 108)(66, 109)(67, 110)(68, 111)(69, 112)(71, 114)(73, 95)(74, 118)(77, 121)(78, 122)(80, 124)(81, 125)(82, 126)(85, 130)(86, 131)(91, 139)(92, 140)(93, 141)(94, 142)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(107, 154)(113, 144)(115, 143)(116, 145)(117, 159)(119, 160)(120, 161)(123, 163)(127, 167)(128, 168)(129, 169)(132, 170)(133, 171)(134, 172)(135, 173)(136, 174)(137, 175)(138, 176)(155, 184)(156, 178)(157, 181)(158, 182)(162, 187)(164, 188)(165, 189)(166, 190)(177, 191)(179, 186)(180, 185)(183, 192)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2917
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2919 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^2)^2, (T2 * T1 * T2)^4, T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 77, 45, 23)(13, 26, 50, 86, 52, 27)(17, 33, 62, 105, 63, 34)(21, 40, 71, 115, 73, 41)(24, 46, 81, 129, 82, 47)(28, 53, 90, 139, 92, 54)(29, 55, 94, 143, 96, 56)(31, 59, 36, 66, 102, 60)(35, 64, 107, 154, 108, 65)(38, 68, 106, 153, 113, 69)(42, 74, 118, 161, 120, 75)(44, 78, 49, 85, 126, 79)(48, 83, 131, 172, 132, 84)(51, 87, 130, 171, 137, 88)(57, 97, 70, 114, 146, 98)(61, 103, 152, 116, 72, 104)(76, 121, 89, 138, 164, 122)(80, 127, 170, 140, 91, 128)(93, 141, 112, 158, 177, 142)(95, 144, 100, 149, 111, 145)(99, 147, 181, 157, 110, 148)(101, 150, 180, 190, 183, 151)(109, 155, 178, 187, 184, 156)(117, 159, 136, 176, 185, 160)(119, 162, 124, 167, 135, 163)(123, 165, 189, 175, 134, 166)(125, 168, 188, 182, 191, 169)(133, 173, 186, 179, 192, 174)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 227)(211, 228)(212, 230)(214, 234)(215, 236)(217, 240)(218, 241)(219, 243)(222, 249)(224, 239)(225, 253)(226, 237)(229, 245)(231, 262)(232, 242)(233, 264)(235, 268)(238, 272)(244, 281)(246, 283)(247, 285)(248, 287)(250, 291)(251, 292)(252, 293)(254, 284)(255, 290)(256, 298)(257, 288)(258, 301)(259, 302)(260, 303)(261, 304)(263, 306)(265, 273)(266, 309)(267, 311)(269, 315)(270, 316)(271, 317)(274, 314)(275, 322)(276, 312)(277, 325)(278, 326)(279, 327)(280, 328)(282, 330)(286, 332)(289, 313)(294, 320)(295, 329)(296, 318)(297, 323)(299, 321)(300, 331)(305, 319)(307, 324)(308, 310)(333, 351)(334, 365)(335, 370)(336, 371)(337, 355)(338, 362)(339, 372)(340, 369)(341, 374)(342, 366)(343, 368)(344, 356)(345, 375)(346, 373)(347, 352)(348, 360)(349, 376)(350, 361)(353, 378)(354, 379)(357, 380)(358, 377)(359, 382)(363, 383)(364, 381)(367, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2923
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2920 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2^3)^2, (T1^-1 * T2)^4, T2^8, T2 * T1^-1 * T2^-1 * T1^2 * T2^2 * T1^3, T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^2, T2 * T1^3 * T2^-1 * T1^2 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 38, 15, 5)(2, 7, 19, 46, 101, 54, 22, 8)(4, 12, 31, 72, 120, 59, 24, 9)(6, 17, 41, 89, 151, 97, 44, 18)(11, 28, 67, 37, 83, 122, 61, 25)(13, 33, 76, 119, 176, 132, 70, 30)(14, 35, 80, 124, 62, 27, 64, 36)(16, 39, 84, 143, 182, 148, 87, 40)(20, 48, 105, 53, 112, 160, 99, 45)(21, 51, 109, 162, 100, 47, 102, 52)(23, 56, 114, 173, 134, 73, 116, 57)(29, 68, 130, 178, 142, 167, 128, 66)(32, 74, 118, 58, 117, 174, 133, 71)(34, 78, 92, 154, 123, 179, 139, 79)(42, 91, 153, 96, 158, 183, 149, 88)(43, 94, 157, 185, 150, 90, 152, 95)(49, 106, 166, 188, 172, 113, 55, 104)(50, 107, 145, 138, 161, 189, 169, 108)(60, 121, 177, 141, 82, 129, 147, 86)(65, 126, 180, 140, 81, 85, 144, 125)(69, 98, 159, 187, 171, 111, 165, 127)(75, 136, 181, 191, 175, 131, 146, 135)(77, 115, 163, 103, 164, 190, 170, 110)(93, 155, 137, 168, 184, 192, 186, 156)(193, 194, 198, 208, 205, 196)(195, 201, 215, 247, 221, 203)(197, 206, 226, 241, 212, 199)(200, 213, 242, 284, 234, 209)(202, 217, 252, 279, 257, 219)(204, 222, 261, 320, 267, 224)(207, 229, 274, 276, 273, 227)(210, 235, 285, 337, 277, 231)(211, 237, 290, 262, 295, 239)(214, 245, 303, 268, 302, 243)(216, 250, 282, 233, 280, 248)(218, 254, 315, 364, 304, 246)(220, 258, 319, 336, 299, 244)(223, 263, 286, 236, 288, 265)(225, 232, 278, 338, 329, 269)(228, 266, 327, 339, 283, 270)(230, 264, 326, 358, 334, 275)(238, 292, 353, 331, 350, 289)(240, 296, 249, 307, 347, 287)(251, 311, 363, 322, 367, 309)(253, 301, 362, 306, 341, 313)(255, 293, 343, 374, 368, 312)(256, 317, 357, 297, 344, 310)(259, 294, 355, 308, 345, 321)(260, 305, 346, 300, 360, 323)(271, 330, 348, 328, 359, 298)(272, 332, 351, 291, 349, 325)(281, 342, 376, 361, 318, 340)(314, 370, 379, 372, 381, 354)(316, 366, 383, 369, 375, 371)(324, 335, 333, 373, 378, 356)(352, 380, 365, 382, 384, 377)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2924
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2921 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 65)(34, 66)(35, 69)(36, 70)(38, 74)(39, 75)(42, 80)(43, 81)(44, 82)(47, 83)(48, 84)(49, 85)(52, 90)(53, 91)(55, 95)(56, 96)(57, 99)(58, 100)(60, 104)(62, 107)(63, 108)(64, 110)(67, 113)(68, 115)(71, 118)(72, 119)(73, 120)(76, 117)(77, 112)(78, 116)(79, 111)(86, 134)(87, 135)(88, 138)(89, 139)(92, 143)(93, 144)(94, 146)(97, 147)(98, 149)(101, 150)(102, 151)(103, 152)(105, 153)(106, 154)(109, 157)(114, 162)(121, 165)(122, 155)(123, 166)(124, 156)(125, 159)(126, 160)(127, 163)(128, 164)(129, 167)(130, 168)(131, 169)(132, 170)(133, 171)(136, 172)(137, 173)(140, 174)(141, 175)(142, 176)(145, 177)(148, 180)(158, 183)(161, 184)(178, 187)(179, 188)(181, 189)(182, 190)(185, 191)(186, 192)(193, 194, 197, 203, 215, 214, 202, 196)(195, 199, 207, 223, 238, 230, 210, 200)(198, 205, 219, 245, 237, 252, 222, 206)(201, 211, 231, 240, 216, 239, 234, 212)(204, 217, 241, 236, 213, 235, 244, 218)(208, 225, 256, 301, 266, 306, 259, 226)(209, 227, 260, 298, 253, 297, 263, 228)(220, 247, 286, 337, 296, 340, 289, 248)(221, 249, 290, 334, 283, 333, 293, 250)(224, 254, 277, 265, 229, 264, 282, 255)(232, 268, 313, 322, 275, 321, 314, 269)(233, 270, 315, 324, 276, 323, 316, 271)(242, 278, 325, 318, 273, 317, 328, 279)(243, 280, 329, 320, 274, 319, 332, 281)(246, 284, 272, 295, 251, 294, 267, 285)(257, 303, 351, 368, 354, 362, 326, 292)(258, 304, 352, 369, 349, 360, 327, 288)(261, 308, 355, 367, 345, 361, 330, 291)(262, 309, 356, 372, 346, 359, 331, 287)(299, 339, 371, 341, 311, 338, 370, 342)(300, 347, 373, 358, 312, 357, 374, 348)(302, 350, 310, 336, 305, 353, 307, 344)(335, 364, 378, 365, 343, 363, 377, 366)(375, 379, 383, 381, 376, 380, 384, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2922
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2922 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^2)^2, (T2 * T1 * T2)^4, T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1, (T2^-1 * T1)^8 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 58, 250, 32, 224, 16, 208)(9, 201, 19, 211, 37, 229, 67, 259, 39, 231, 20, 212)(11, 203, 22, 214, 43, 235, 77, 269, 45, 237, 23, 215)(13, 205, 26, 218, 50, 242, 86, 278, 52, 244, 27, 219)(17, 209, 33, 225, 62, 254, 105, 297, 63, 255, 34, 226)(21, 213, 40, 232, 71, 263, 115, 307, 73, 265, 41, 233)(24, 216, 46, 238, 81, 273, 129, 321, 82, 274, 47, 239)(28, 220, 53, 245, 90, 282, 139, 331, 92, 284, 54, 246)(29, 221, 55, 247, 94, 286, 143, 335, 96, 288, 56, 248)(31, 223, 59, 251, 36, 228, 66, 258, 102, 294, 60, 252)(35, 227, 64, 256, 107, 299, 154, 346, 108, 300, 65, 257)(38, 230, 68, 260, 106, 298, 153, 345, 113, 305, 69, 261)(42, 234, 74, 266, 118, 310, 161, 353, 120, 312, 75, 267)(44, 236, 78, 270, 49, 241, 85, 277, 126, 318, 79, 271)(48, 240, 83, 275, 131, 323, 172, 364, 132, 324, 84, 276)(51, 243, 87, 279, 130, 322, 171, 363, 137, 329, 88, 280)(57, 249, 97, 289, 70, 262, 114, 306, 146, 338, 98, 290)(61, 253, 103, 295, 152, 344, 116, 308, 72, 264, 104, 296)(76, 268, 121, 313, 89, 281, 138, 330, 164, 356, 122, 314)(80, 272, 127, 319, 170, 362, 140, 332, 91, 283, 128, 320)(93, 285, 141, 333, 112, 304, 158, 350, 177, 369, 142, 334)(95, 287, 144, 336, 100, 292, 149, 341, 111, 303, 145, 337)(99, 291, 147, 339, 181, 373, 157, 349, 110, 302, 148, 340)(101, 293, 150, 342, 180, 372, 190, 382, 183, 375, 151, 343)(109, 301, 155, 347, 178, 370, 187, 379, 184, 376, 156, 348)(117, 309, 159, 351, 136, 328, 176, 368, 185, 377, 160, 352)(119, 311, 162, 354, 124, 316, 167, 359, 135, 327, 163, 355)(123, 315, 165, 357, 189, 381, 175, 367, 134, 326, 166, 358)(125, 317, 168, 360, 188, 380, 182, 374, 191, 383, 169, 361)(133, 325, 173, 365, 186, 378, 179, 371, 192, 384, 174, 366)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 240)(26, 241)(27, 243)(28, 206)(29, 207)(30, 249)(31, 208)(32, 239)(33, 253)(34, 237)(35, 210)(36, 211)(37, 245)(38, 212)(39, 262)(40, 242)(41, 264)(42, 214)(43, 268)(44, 215)(45, 226)(46, 272)(47, 224)(48, 217)(49, 218)(50, 232)(51, 219)(52, 281)(53, 229)(54, 283)(55, 285)(56, 287)(57, 222)(58, 291)(59, 292)(60, 293)(61, 225)(62, 284)(63, 290)(64, 298)(65, 288)(66, 301)(67, 302)(68, 303)(69, 304)(70, 231)(71, 306)(72, 233)(73, 273)(74, 309)(75, 311)(76, 235)(77, 315)(78, 316)(79, 317)(80, 238)(81, 265)(82, 314)(83, 322)(84, 312)(85, 325)(86, 326)(87, 327)(88, 328)(89, 244)(90, 330)(91, 246)(92, 254)(93, 247)(94, 332)(95, 248)(96, 257)(97, 313)(98, 255)(99, 250)(100, 251)(101, 252)(102, 320)(103, 329)(104, 318)(105, 323)(106, 256)(107, 321)(108, 331)(109, 258)(110, 259)(111, 260)(112, 261)(113, 319)(114, 263)(115, 324)(116, 310)(117, 266)(118, 308)(119, 267)(120, 276)(121, 289)(122, 274)(123, 269)(124, 270)(125, 271)(126, 296)(127, 305)(128, 294)(129, 299)(130, 275)(131, 297)(132, 307)(133, 277)(134, 278)(135, 279)(136, 280)(137, 295)(138, 282)(139, 300)(140, 286)(141, 351)(142, 365)(143, 370)(144, 371)(145, 355)(146, 362)(147, 372)(148, 369)(149, 374)(150, 366)(151, 368)(152, 356)(153, 375)(154, 373)(155, 352)(156, 360)(157, 376)(158, 361)(159, 333)(160, 347)(161, 378)(162, 379)(163, 337)(164, 344)(165, 380)(166, 377)(167, 382)(168, 348)(169, 350)(170, 338)(171, 383)(172, 381)(173, 334)(174, 342)(175, 384)(176, 343)(177, 340)(178, 335)(179, 336)(180, 339)(181, 346)(182, 341)(183, 345)(184, 349)(185, 358)(186, 353)(187, 354)(188, 357)(189, 364)(190, 359)(191, 363)(192, 367)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2921
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 12^32 ]

E21.2923 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2^3)^2, (T1^-1 * T2)^4, T2^8, T2 * T1^-1 * T2^-1 * T1^2 * T2^2 * T1^3, T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^2, T2 * T1^3 * T2^-1 * T1^2 * T2 * T1^-2 * T2 * T1^-1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 26, 218, 63, 255, 38, 230, 15, 207, 5, 197)(2, 194, 7, 199, 19, 211, 46, 238, 101, 293, 54, 246, 22, 214, 8, 200)(4, 196, 12, 204, 31, 223, 72, 264, 120, 312, 59, 251, 24, 216, 9, 201)(6, 198, 17, 209, 41, 233, 89, 281, 151, 343, 97, 289, 44, 236, 18, 210)(11, 203, 28, 220, 67, 259, 37, 229, 83, 275, 122, 314, 61, 253, 25, 217)(13, 205, 33, 225, 76, 268, 119, 311, 176, 368, 132, 324, 70, 262, 30, 222)(14, 206, 35, 227, 80, 272, 124, 316, 62, 254, 27, 219, 64, 256, 36, 228)(16, 208, 39, 231, 84, 276, 143, 335, 182, 374, 148, 340, 87, 279, 40, 232)(20, 212, 48, 240, 105, 297, 53, 245, 112, 304, 160, 352, 99, 291, 45, 237)(21, 213, 51, 243, 109, 301, 162, 354, 100, 292, 47, 239, 102, 294, 52, 244)(23, 215, 56, 248, 114, 306, 173, 365, 134, 326, 73, 265, 116, 308, 57, 249)(29, 221, 68, 260, 130, 322, 178, 370, 142, 334, 167, 359, 128, 320, 66, 258)(32, 224, 74, 266, 118, 310, 58, 250, 117, 309, 174, 366, 133, 325, 71, 263)(34, 226, 78, 270, 92, 284, 154, 346, 123, 315, 179, 371, 139, 331, 79, 271)(42, 234, 91, 283, 153, 345, 96, 288, 158, 350, 183, 375, 149, 341, 88, 280)(43, 235, 94, 286, 157, 349, 185, 377, 150, 342, 90, 282, 152, 344, 95, 287)(49, 241, 106, 298, 166, 358, 188, 380, 172, 364, 113, 305, 55, 247, 104, 296)(50, 242, 107, 299, 145, 337, 138, 330, 161, 353, 189, 381, 169, 361, 108, 300)(60, 252, 121, 313, 177, 369, 141, 333, 82, 274, 129, 321, 147, 339, 86, 278)(65, 257, 126, 318, 180, 372, 140, 332, 81, 273, 85, 277, 144, 336, 125, 317)(69, 261, 98, 290, 159, 351, 187, 379, 171, 363, 111, 303, 165, 357, 127, 319)(75, 267, 136, 328, 181, 373, 191, 383, 175, 367, 131, 323, 146, 338, 135, 327)(77, 269, 115, 307, 163, 355, 103, 295, 164, 356, 190, 382, 170, 362, 110, 302)(93, 285, 155, 347, 137, 329, 168, 360, 184, 376, 192, 384, 186, 378, 156, 348)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 206)(6, 208)(7, 197)(8, 213)(9, 215)(10, 217)(11, 195)(12, 222)(13, 196)(14, 226)(15, 229)(16, 205)(17, 200)(18, 235)(19, 237)(20, 199)(21, 242)(22, 245)(23, 247)(24, 250)(25, 252)(26, 254)(27, 202)(28, 258)(29, 203)(30, 261)(31, 263)(32, 204)(33, 232)(34, 241)(35, 207)(36, 266)(37, 274)(38, 264)(39, 210)(40, 278)(41, 280)(42, 209)(43, 285)(44, 288)(45, 290)(46, 292)(47, 211)(48, 296)(49, 212)(50, 284)(51, 214)(52, 220)(53, 303)(54, 218)(55, 221)(56, 216)(57, 307)(58, 282)(59, 311)(60, 279)(61, 301)(62, 315)(63, 293)(64, 317)(65, 219)(66, 319)(67, 294)(68, 305)(69, 320)(70, 295)(71, 286)(72, 326)(73, 223)(74, 327)(75, 224)(76, 302)(77, 225)(78, 228)(79, 330)(80, 332)(81, 227)(82, 276)(83, 230)(84, 273)(85, 231)(86, 338)(87, 257)(88, 248)(89, 342)(90, 233)(91, 270)(92, 234)(93, 337)(94, 236)(95, 240)(96, 265)(97, 238)(98, 262)(99, 349)(100, 353)(101, 343)(102, 355)(103, 239)(104, 249)(105, 344)(106, 271)(107, 244)(108, 360)(109, 362)(110, 243)(111, 268)(112, 246)(113, 346)(114, 341)(115, 347)(116, 345)(117, 251)(118, 256)(119, 363)(120, 255)(121, 253)(122, 370)(123, 364)(124, 366)(125, 357)(126, 340)(127, 336)(128, 267)(129, 259)(130, 367)(131, 260)(132, 335)(133, 272)(134, 358)(135, 339)(136, 359)(137, 269)(138, 348)(139, 350)(140, 351)(141, 373)(142, 275)(143, 333)(144, 299)(145, 277)(146, 329)(147, 283)(148, 281)(149, 313)(150, 376)(151, 374)(152, 310)(153, 321)(154, 300)(155, 287)(156, 328)(157, 325)(158, 289)(159, 291)(160, 380)(161, 331)(162, 314)(163, 308)(164, 324)(165, 297)(166, 334)(167, 298)(168, 323)(169, 318)(170, 306)(171, 322)(172, 304)(173, 382)(174, 383)(175, 309)(176, 312)(177, 375)(178, 379)(179, 316)(180, 381)(181, 378)(182, 368)(183, 371)(184, 361)(185, 352)(186, 356)(187, 372)(188, 365)(189, 354)(190, 384)(191, 369)(192, 377)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2919
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2924 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-4)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 37, 229)(19, 211, 40, 232)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 59, 251)(31, 223, 61, 253)(33, 225, 65, 257)(34, 226, 66, 258)(35, 227, 69, 261)(36, 228, 70, 262)(38, 230, 74, 266)(39, 231, 75, 267)(42, 234, 80, 272)(43, 235, 81, 273)(44, 236, 82, 274)(47, 239, 83, 275)(48, 240, 84, 276)(49, 241, 85, 277)(52, 244, 90, 282)(53, 245, 91, 283)(55, 247, 95, 287)(56, 248, 96, 288)(57, 249, 99, 291)(58, 250, 100, 292)(60, 252, 104, 296)(62, 254, 107, 299)(63, 255, 108, 300)(64, 256, 110, 302)(67, 259, 113, 305)(68, 260, 115, 307)(71, 263, 118, 310)(72, 264, 119, 311)(73, 265, 120, 312)(76, 268, 117, 309)(77, 269, 112, 304)(78, 270, 116, 308)(79, 271, 111, 303)(86, 278, 134, 326)(87, 279, 135, 327)(88, 280, 138, 330)(89, 281, 139, 331)(92, 284, 143, 335)(93, 285, 144, 336)(94, 286, 146, 338)(97, 289, 147, 339)(98, 290, 149, 341)(101, 293, 150, 342)(102, 294, 151, 343)(103, 295, 152, 344)(105, 297, 153, 345)(106, 298, 154, 346)(109, 301, 157, 349)(114, 306, 162, 354)(121, 313, 165, 357)(122, 314, 155, 347)(123, 315, 166, 358)(124, 316, 156, 348)(125, 317, 159, 351)(126, 318, 160, 352)(127, 319, 163, 355)(128, 320, 164, 356)(129, 321, 167, 359)(130, 322, 168, 360)(131, 323, 169, 361)(132, 324, 170, 362)(133, 325, 171, 363)(136, 328, 172, 364)(137, 329, 173, 365)(140, 332, 174, 366)(141, 333, 175, 367)(142, 334, 176, 368)(145, 337, 177, 369)(148, 340, 180, 372)(158, 350, 183, 375)(161, 353, 184, 376)(178, 370, 187, 379)(179, 371, 188, 380)(181, 373, 189, 381)(182, 374, 190, 382)(185, 377, 191, 383)(186, 378, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 231)(20, 201)(21, 235)(22, 202)(23, 214)(24, 239)(25, 241)(26, 204)(27, 245)(28, 247)(29, 249)(30, 206)(31, 238)(32, 254)(33, 256)(34, 208)(35, 260)(36, 209)(37, 264)(38, 210)(39, 240)(40, 268)(41, 270)(42, 212)(43, 244)(44, 213)(45, 252)(46, 230)(47, 234)(48, 216)(49, 236)(50, 278)(51, 280)(52, 218)(53, 237)(54, 284)(55, 286)(56, 220)(57, 290)(58, 221)(59, 294)(60, 222)(61, 297)(62, 277)(63, 224)(64, 301)(65, 303)(66, 304)(67, 226)(68, 298)(69, 308)(70, 309)(71, 228)(72, 282)(73, 229)(74, 306)(75, 285)(76, 313)(77, 232)(78, 315)(79, 233)(80, 295)(81, 317)(82, 319)(83, 321)(84, 323)(85, 265)(86, 325)(87, 242)(88, 329)(89, 243)(90, 255)(91, 333)(92, 272)(93, 246)(94, 337)(95, 262)(96, 258)(97, 248)(98, 334)(99, 261)(100, 257)(101, 250)(102, 267)(103, 251)(104, 340)(105, 263)(106, 253)(107, 339)(108, 347)(109, 266)(110, 350)(111, 351)(112, 352)(113, 353)(114, 259)(115, 344)(116, 355)(117, 356)(118, 336)(119, 338)(120, 357)(121, 322)(122, 269)(123, 324)(124, 271)(125, 328)(126, 273)(127, 332)(128, 274)(129, 314)(130, 275)(131, 316)(132, 276)(133, 318)(134, 292)(135, 288)(136, 279)(137, 320)(138, 291)(139, 287)(140, 281)(141, 293)(142, 283)(143, 364)(144, 305)(145, 296)(146, 370)(147, 371)(148, 289)(149, 311)(150, 299)(151, 363)(152, 302)(153, 361)(154, 359)(155, 373)(156, 300)(157, 360)(158, 310)(159, 368)(160, 369)(161, 307)(162, 362)(163, 367)(164, 372)(165, 374)(166, 312)(167, 331)(168, 327)(169, 330)(170, 326)(171, 377)(172, 378)(173, 343)(174, 335)(175, 345)(176, 354)(177, 349)(178, 342)(179, 341)(180, 346)(181, 358)(182, 348)(183, 379)(184, 380)(185, 366)(186, 365)(187, 383)(188, 384)(189, 376)(190, 375)(191, 381)(192, 382)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2920
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * R * Y2^2 * R * Y1 * Y2^2, (R * Y2^-2 * Y1)^2, Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2^2 * Y1, (Y1 * Y2^-2)^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 35, 227)(19, 211, 36, 228)(20, 212, 38, 230)(22, 214, 42, 234)(23, 215, 44, 236)(25, 217, 48, 240)(26, 218, 49, 241)(27, 219, 51, 243)(30, 222, 57, 249)(32, 224, 47, 239)(33, 225, 61, 253)(34, 226, 45, 237)(37, 229, 53, 245)(39, 231, 70, 262)(40, 232, 50, 242)(41, 233, 72, 264)(43, 235, 76, 268)(46, 238, 80, 272)(52, 244, 89, 281)(54, 246, 91, 283)(55, 247, 93, 285)(56, 248, 95, 287)(58, 250, 99, 291)(59, 251, 100, 292)(60, 252, 101, 293)(62, 254, 92, 284)(63, 255, 98, 290)(64, 256, 106, 298)(65, 257, 96, 288)(66, 258, 109, 301)(67, 259, 110, 302)(68, 260, 111, 303)(69, 261, 112, 304)(71, 263, 114, 306)(73, 265, 81, 273)(74, 266, 117, 309)(75, 267, 119, 311)(77, 269, 123, 315)(78, 270, 124, 316)(79, 271, 125, 317)(82, 274, 122, 314)(83, 275, 130, 322)(84, 276, 120, 312)(85, 277, 133, 325)(86, 278, 134, 326)(87, 279, 135, 327)(88, 280, 136, 328)(90, 282, 138, 330)(94, 286, 140, 332)(97, 289, 121, 313)(102, 294, 128, 320)(103, 295, 137, 329)(104, 296, 126, 318)(105, 297, 131, 323)(107, 299, 129, 321)(108, 300, 139, 331)(113, 305, 127, 319)(115, 307, 132, 324)(116, 308, 118, 310)(141, 333, 159, 351)(142, 334, 173, 365)(143, 335, 178, 370)(144, 336, 179, 371)(145, 337, 163, 355)(146, 338, 170, 362)(147, 339, 180, 372)(148, 340, 177, 369)(149, 341, 182, 374)(150, 342, 174, 366)(151, 343, 176, 368)(152, 344, 164, 356)(153, 345, 183, 375)(154, 346, 181, 373)(155, 347, 160, 352)(156, 348, 168, 360)(157, 349, 184, 376)(158, 350, 169, 361)(161, 353, 186, 378)(162, 354, 187, 379)(165, 357, 188, 380)(166, 358, 185, 377)(167, 359, 190, 382)(171, 363, 191, 383)(172, 364, 189, 381)(175, 367, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 442, 634, 416, 608, 400, 592)(393, 585, 403, 595, 421, 613, 451, 643, 423, 615, 404, 596)(395, 587, 406, 598, 427, 619, 461, 653, 429, 621, 407, 599)(397, 589, 410, 602, 434, 626, 470, 662, 436, 628, 411, 603)(401, 593, 417, 609, 446, 638, 489, 681, 447, 639, 418, 610)(405, 597, 424, 616, 455, 647, 499, 691, 457, 649, 425, 617)(408, 600, 430, 622, 465, 657, 513, 705, 466, 658, 431, 623)(412, 604, 437, 629, 474, 666, 523, 715, 476, 668, 438, 630)(413, 605, 439, 631, 478, 670, 527, 719, 480, 672, 440, 632)(415, 607, 443, 635, 420, 612, 450, 642, 486, 678, 444, 636)(419, 611, 448, 640, 491, 683, 538, 730, 492, 684, 449, 641)(422, 614, 452, 644, 490, 682, 537, 729, 497, 689, 453, 645)(426, 618, 458, 650, 502, 694, 545, 737, 504, 696, 459, 651)(428, 620, 462, 654, 433, 625, 469, 661, 510, 702, 463, 655)(432, 624, 467, 659, 515, 707, 556, 748, 516, 708, 468, 660)(435, 627, 471, 663, 514, 706, 555, 747, 521, 713, 472, 664)(441, 633, 481, 673, 454, 646, 498, 690, 530, 722, 482, 674)(445, 637, 487, 679, 536, 728, 500, 692, 456, 648, 488, 680)(460, 652, 505, 697, 473, 665, 522, 714, 548, 740, 506, 698)(464, 656, 511, 703, 554, 746, 524, 716, 475, 667, 512, 704)(477, 669, 525, 717, 496, 688, 542, 734, 561, 753, 526, 718)(479, 671, 528, 720, 484, 676, 533, 725, 495, 687, 529, 721)(483, 675, 531, 723, 565, 757, 541, 733, 494, 686, 532, 724)(485, 677, 534, 726, 564, 756, 574, 766, 567, 759, 535, 727)(493, 685, 539, 731, 562, 754, 571, 763, 568, 760, 540, 732)(501, 693, 543, 735, 520, 712, 560, 752, 569, 761, 544, 736)(503, 695, 546, 738, 508, 700, 551, 743, 519, 711, 547, 739)(507, 699, 549, 741, 573, 765, 559, 751, 518, 710, 550, 742)(509, 701, 552, 744, 572, 764, 566, 758, 575, 767, 553, 745)(517, 709, 557, 749, 570, 762, 563, 755, 576, 768, 558, 750)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 419)(19, 420)(20, 422)(21, 394)(22, 426)(23, 428)(24, 396)(25, 432)(26, 433)(27, 435)(28, 398)(29, 399)(30, 441)(31, 400)(32, 431)(33, 445)(34, 429)(35, 402)(36, 403)(37, 437)(38, 404)(39, 454)(40, 434)(41, 456)(42, 406)(43, 460)(44, 407)(45, 418)(46, 464)(47, 416)(48, 409)(49, 410)(50, 424)(51, 411)(52, 473)(53, 421)(54, 475)(55, 477)(56, 479)(57, 414)(58, 483)(59, 484)(60, 485)(61, 417)(62, 476)(63, 482)(64, 490)(65, 480)(66, 493)(67, 494)(68, 495)(69, 496)(70, 423)(71, 498)(72, 425)(73, 465)(74, 501)(75, 503)(76, 427)(77, 507)(78, 508)(79, 509)(80, 430)(81, 457)(82, 506)(83, 514)(84, 504)(85, 517)(86, 518)(87, 519)(88, 520)(89, 436)(90, 522)(91, 438)(92, 446)(93, 439)(94, 524)(95, 440)(96, 449)(97, 505)(98, 447)(99, 442)(100, 443)(101, 444)(102, 512)(103, 521)(104, 510)(105, 515)(106, 448)(107, 513)(108, 523)(109, 450)(110, 451)(111, 452)(112, 453)(113, 511)(114, 455)(115, 516)(116, 502)(117, 458)(118, 500)(119, 459)(120, 468)(121, 481)(122, 466)(123, 461)(124, 462)(125, 463)(126, 488)(127, 497)(128, 486)(129, 491)(130, 467)(131, 489)(132, 499)(133, 469)(134, 470)(135, 471)(136, 472)(137, 487)(138, 474)(139, 492)(140, 478)(141, 543)(142, 557)(143, 562)(144, 563)(145, 547)(146, 554)(147, 564)(148, 561)(149, 566)(150, 558)(151, 560)(152, 548)(153, 567)(154, 565)(155, 544)(156, 552)(157, 568)(158, 553)(159, 525)(160, 539)(161, 570)(162, 571)(163, 529)(164, 536)(165, 572)(166, 569)(167, 574)(168, 540)(169, 542)(170, 530)(171, 575)(172, 573)(173, 526)(174, 534)(175, 576)(176, 535)(177, 532)(178, 527)(179, 528)(180, 531)(181, 538)(182, 533)(183, 537)(184, 541)(185, 550)(186, 545)(187, 546)(188, 549)(189, 556)(190, 551)(191, 555)(192, 559)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2928
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 4^96, 12^32 ]

E21.2926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (Y1^-1 * Y2^3)^2, Y2^8, (Y2 * Y1^-1)^4, Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^2, Y2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^2 * Y1^3, Y2 * Y1^3 * Y2^-1 * Y1^2 * Y2 * Y1^-2 * Y2 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 55, 247, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 49, 241, 20, 212, 7, 199)(8, 200, 21, 213, 50, 242, 92, 284, 42, 234, 17, 209)(10, 202, 25, 217, 60, 252, 87, 279, 65, 257, 27, 219)(12, 204, 30, 222, 69, 261, 128, 320, 75, 267, 32, 224)(15, 207, 37, 229, 82, 274, 84, 276, 81, 273, 35, 227)(18, 210, 43, 235, 93, 285, 145, 337, 85, 277, 39, 231)(19, 211, 45, 237, 98, 290, 70, 262, 103, 295, 47, 239)(22, 214, 53, 245, 111, 303, 76, 268, 110, 302, 51, 243)(24, 216, 58, 250, 90, 282, 41, 233, 88, 280, 56, 248)(26, 218, 62, 254, 123, 315, 172, 364, 112, 304, 54, 246)(28, 220, 66, 258, 127, 319, 144, 336, 107, 299, 52, 244)(31, 223, 71, 263, 94, 286, 44, 236, 96, 288, 73, 265)(33, 225, 40, 232, 86, 278, 146, 338, 137, 329, 77, 269)(36, 228, 74, 266, 135, 327, 147, 339, 91, 283, 78, 270)(38, 230, 72, 264, 134, 326, 166, 358, 142, 334, 83, 275)(46, 238, 100, 292, 161, 353, 139, 331, 158, 350, 97, 289)(48, 240, 104, 296, 57, 249, 115, 307, 155, 347, 95, 287)(59, 251, 119, 311, 171, 363, 130, 322, 175, 367, 117, 309)(61, 253, 109, 301, 170, 362, 114, 306, 149, 341, 121, 313)(63, 255, 101, 293, 151, 343, 182, 374, 176, 368, 120, 312)(64, 256, 125, 317, 165, 357, 105, 297, 152, 344, 118, 310)(67, 259, 102, 294, 163, 355, 116, 308, 153, 345, 129, 321)(68, 260, 113, 305, 154, 346, 108, 300, 168, 360, 131, 323)(79, 271, 138, 330, 156, 348, 136, 328, 167, 359, 106, 298)(80, 272, 140, 332, 159, 351, 99, 291, 157, 349, 133, 325)(89, 281, 150, 342, 184, 376, 169, 361, 126, 318, 148, 340)(122, 314, 178, 370, 187, 379, 180, 372, 189, 381, 162, 354)(124, 316, 174, 366, 191, 383, 177, 369, 183, 375, 179, 371)(132, 324, 143, 335, 141, 333, 181, 373, 186, 378, 164, 356)(160, 352, 188, 380, 173, 365, 190, 382, 192, 384, 185, 377)(385, 577, 387, 579, 394, 586, 410, 602, 447, 639, 422, 614, 399, 591, 389, 581)(386, 578, 391, 583, 403, 595, 430, 622, 485, 677, 438, 630, 406, 598, 392, 584)(388, 580, 396, 588, 415, 607, 456, 648, 504, 696, 443, 635, 408, 600, 393, 585)(390, 582, 401, 593, 425, 617, 473, 665, 535, 727, 481, 673, 428, 620, 402, 594)(395, 587, 412, 604, 451, 643, 421, 613, 467, 659, 506, 698, 445, 637, 409, 601)(397, 589, 417, 609, 460, 652, 503, 695, 560, 752, 516, 708, 454, 646, 414, 606)(398, 590, 419, 611, 464, 656, 508, 700, 446, 638, 411, 603, 448, 640, 420, 612)(400, 592, 423, 615, 468, 660, 527, 719, 566, 758, 532, 724, 471, 663, 424, 616)(404, 596, 432, 624, 489, 681, 437, 629, 496, 688, 544, 736, 483, 675, 429, 621)(405, 597, 435, 627, 493, 685, 546, 738, 484, 676, 431, 623, 486, 678, 436, 628)(407, 599, 440, 632, 498, 690, 557, 749, 518, 710, 457, 649, 500, 692, 441, 633)(413, 605, 452, 644, 514, 706, 562, 754, 526, 718, 551, 743, 512, 704, 450, 642)(416, 608, 458, 650, 502, 694, 442, 634, 501, 693, 558, 750, 517, 709, 455, 647)(418, 610, 462, 654, 476, 668, 538, 730, 507, 699, 563, 755, 523, 715, 463, 655)(426, 618, 475, 667, 537, 729, 480, 672, 542, 734, 567, 759, 533, 725, 472, 664)(427, 619, 478, 670, 541, 733, 569, 761, 534, 726, 474, 666, 536, 728, 479, 671)(433, 625, 490, 682, 550, 742, 572, 764, 556, 748, 497, 689, 439, 631, 488, 680)(434, 626, 491, 683, 529, 721, 522, 714, 545, 737, 573, 765, 553, 745, 492, 684)(444, 636, 505, 697, 561, 753, 525, 717, 466, 658, 513, 705, 531, 723, 470, 662)(449, 641, 510, 702, 564, 756, 524, 716, 465, 657, 469, 661, 528, 720, 509, 701)(453, 645, 482, 674, 543, 735, 571, 763, 555, 747, 495, 687, 549, 741, 511, 703)(459, 651, 520, 712, 565, 757, 575, 767, 559, 751, 515, 707, 530, 722, 519, 711)(461, 653, 499, 691, 547, 739, 487, 679, 548, 740, 574, 766, 554, 746, 494, 686)(477, 669, 539, 731, 521, 713, 552, 744, 568, 760, 576, 768, 570, 762, 540, 732)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 415)(13, 417)(14, 419)(15, 389)(16, 423)(17, 425)(18, 390)(19, 430)(20, 432)(21, 435)(22, 392)(23, 440)(24, 393)(25, 395)(26, 447)(27, 448)(28, 451)(29, 452)(30, 397)(31, 456)(32, 458)(33, 460)(34, 462)(35, 464)(36, 398)(37, 467)(38, 399)(39, 468)(40, 400)(41, 473)(42, 475)(43, 478)(44, 402)(45, 404)(46, 485)(47, 486)(48, 489)(49, 490)(50, 491)(51, 493)(52, 405)(53, 496)(54, 406)(55, 488)(56, 498)(57, 407)(58, 501)(59, 408)(60, 505)(61, 409)(62, 411)(63, 422)(64, 420)(65, 510)(66, 413)(67, 421)(68, 514)(69, 482)(70, 414)(71, 416)(72, 504)(73, 500)(74, 502)(75, 520)(76, 503)(77, 499)(78, 476)(79, 418)(80, 508)(81, 469)(82, 513)(83, 506)(84, 527)(85, 528)(86, 444)(87, 424)(88, 426)(89, 535)(90, 536)(91, 537)(92, 538)(93, 539)(94, 541)(95, 427)(96, 542)(97, 428)(98, 543)(99, 429)(100, 431)(101, 438)(102, 436)(103, 548)(104, 433)(105, 437)(106, 550)(107, 529)(108, 434)(109, 546)(110, 461)(111, 549)(112, 544)(113, 439)(114, 557)(115, 547)(116, 441)(117, 558)(118, 442)(119, 560)(120, 443)(121, 561)(122, 445)(123, 563)(124, 446)(125, 449)(126, 564)(127, 453)(128, 450)(129, 531)(130, 562)(131, 530)(132, 454)(133, 455)(134, 457)(135, 459)(136, 565)(137, 552)(138, 545)(139, 463)(140, 465)(141, 466)(142, 551)(143, 566)(144, 509)(145, 522)(146, 519)(147, 470)(148, 471)(149, 472)(150, 474)(151, 481)(152, 479)(153, 480)(154, 507)(155, 521)(156, 477)(157, 569)(158, 567)(159, 571)(160, 483)(161, 573)(162, 484)(163, 487)(164, 574)(165, 511)(166, 572)(167, 512)(168, 568)(169, 492)(170, 494)(171, 495)(172, 497)(173, 518)(174, 517)(175, 515)(176, 516)(177, 525)(178, 526)(179, 523)(180, 524)(181, 575)(182, 532)(183, 533)(184, 576)(185, 534)(186, 540)(187, 555)(188, 556)(189, 553)(190, 554)(191, 559)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 E21.2927
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 12^32, 16^24 ]

E21.2927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y2 * Y3^4 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y2)^6, (Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 415, 607)(400, 592, 417, 609)(402, 594, 421, 613)(403, 595, 423, 615)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 430, 622)(408, 600, 432, 624)(410, 602, 436, 628)(411, 603, 438, 630)(412, 604, 440, 632)(414, 606, 444, 636)(416, 608, 447, 639)(418, 610, 451, 643)(419, 611, 453, 645)(420, 612, 455, 647)(422, 614, 437, 629)(424, 616, 461, 653)(426, 618, 464, 656)(427, 619, 465, 657)(428, 620, 466, 658)(431, 623, 469, 661)(433, 625, 473, 665)(434, 626, 475, 667)(435, 627, 477, 669)(439, 631, 483, 675)(441, 633, 486, 678)(442, 634, 487, 679)(443, 635, 488, 680)(445, 637, 485, 677)(446, 638, 472, 664)(448, 640, 493, 685)(449, 641, 482, 674)(450, 642, 468, 660)(452, 644, 498, 690)(454, 646, 476, 668)(456, 648, 478, 670)(457, 649, 503, 695)(458, 650, 504, 696)(459, 651, 484, 676)(460, 652, 471, 663)(462, 654, 481, 673)(463, 655, 467, 659)(470, 662, 517, 709)(474, 666, 522, 714)(479, 671, 527, 719)(480, 672, 528, 720)(489, 681, 533, 725)(490, 682, 523, 715)(491, 683, 539, 731)(492, 684, 521, 713)(494, 686, 534, 726)(495, 687, 524, 716)(496, 688, 542, 734)(497, 689, 516, 708)(499, 691, 514, 706)(500, 692, 519, 711)(501, 693, 530, 722)(502, 694, 532, 724)(505, 697, 535, 727)(506, 698, 525, 717)(507, 699, 536, 728)(508, 700, 526, 718)(509, 701, 513, 705)(510, 702, 518, 710)(511, 703, 529, 721)(512, 704, 531, 723)(515, 707, 553, 745)(520, 712, 556, 748)(537, 729, 555, 747)(538, 730, 564, 756)(540, 732, 562, 754)(541, 733, 551, 743)(543, 735, 567, 759)(544, 736, 565, 757)(545, 737, 568, 760)(546, 738, 566, 758)(547, 739, 563, 755)(548, 740, 554, 746)(549, 741, 561, 753)(550, 742, 552, 744)(557, 749, 571, 763)(558, 750, 569, 761)(559, 751, 572, 764)(560, 752, 570, 762)(573, 765, 576, 768)(574, 766, 575, 767)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 416)(16, 391)(17, 419)(18, 422)(19, 424)(20, 393)(21, 427)(22, 394)(23, 431)(24, 395)(25, 434)(26, 437)(27, 439)(28, 397)(29, 442)(30, 398)(31, 445)(32, 448)(33, 449)(34, 400)(35, 454)(36, 401)(37, 457)(38, 406)(39, 459)(40, 458)(41, 462)(42, 404)(43, 456)(44, 405)(45, 452)(46, 467)(47, 470)(48, 471)(49, 408)(50, 476)(51, 409)(52, 479)(53, 414)(54, 481)(55, 480)(56, 484)(57, 412)(58, 478)(59, 413)(60, 474)(61, 489)(62, 415)(63, 491)(64, 429)(65, 494)(66, 417)(67, 496)(68, 418)(69, 499)(70, 428)(71, 501)(72, 420)(73, 426)(74, 421)(75, 505)(76, 423)(77, 492)(78, 507)(79, 425)(80, 497)(81, 509)(82, 511)(83, 513)(84, 430)(85, 515)(86, 444)(87, 518)(88, 432)(89, 520)(90, 433)(91, 523)(92, 443)(93, 525)(94, 435)(95, 441)(96, 436)(97, 529)(98, 438)(99, 516)(100, 531)(101, 440)(102, 521)(103, 533)(104, 535)(105, 537)(106, 446)(107, 464)(108, 447)(109, 540)(110, 541)(111, 450)(112, 461)(113, 451)(114, 538)(115, 543)(116, 453)(117, 545)(118, 455)(119, 547)(120, 549)(121, 548)(122, 460)(123, 550)(124, 463)(125, 544)(126, 465)(127, 546)(128, 466)(129, 551)(130, 468)(131, 486)(132, 469)(133, 554)(134, 555)(135, 472)(136, 483)(137, 473)(138, 552)(139, 557)(140, 475)(141, 559)(142, 477)(143, 561)(144, 563)(145, 562)(146, 482)(147, 564)(148, 485)(149, 558)(150, 487)(151, 560)(152, 488)(153, 498)(154, 490)(155, 565)(156, 495)(157, 493)(158, 567)(159, 510)(160, 500)(161, 512)(162, 502)(163, 506)(164, 503)(165, 508)(166, 504)(167, 522)(168, 514)(169, 569)(170, 519)(171, 517)(172, 571)(173, 534)(174, 524)(175, 536)(176, 526)(177, 530)(178, 527)(179, 532)(180, 528)(181, 573)(182, 539)(183, 574)(184, 542)(185, 575)(186, 553)(187, 576)(188, 556)(189, 568)(190, 566)(191, 572)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2926
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.2928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y1^8, Y1^2 * Y3^-1 * Y1^4 * Y3 * Y1^2, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 46, 238, 38, 230, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 45, 237, 60, 252, 30, 222, 14, 206)(9, 201, 19, 211, 39, 231, 48, 240, 24, 216, 47, 239, 42, 234, 20, 212)(12, 204, 25, 217, 49, 241, 44, 236, 21, 213, 43, 235, 52, 244, 26, 218)(16, 208, 33, 225, 64, 256, 109, 301, 74, 266, 114, 306, 67, 259, 34, 226)(17, 209, 35, 227, 68, 260, 106, 298, 61, 253, 105, 297, 71, 263, 36, 228)(28, 220, 55, 247, 94, 286, 145, 337, 104, 296, 148, 340, 97, 289, 56, 248)(29, 221, 57, 249, 98, 290, 142, 334, 91, 283, 141, 333, 101, 293, 58, 250)(32, 224, 62, 254, 85, 277, 73, 265, 37, 229, 72, 264, 90, 282, 63, 255)(40, 232, 76, 268, 121, 313, 130, 322, 83, 275, 129, 321, 122, 314, 77, 269)(41, 233, 78, 270, 123, 315, 132, 324, 84, 276, 131, 323, 124, 316, 79, 271)(50, 242, 86, 278, 133, 325, 126, 318, 81, 273, 125, 317, 136, 328, 87, 279)(51, 243, 88, 280, 137, 329, 128, 320, 82, 274, 127, 319, 140, 332, 89, 281)(54, 246, 92, 284, 80, 272, 103, 295, 59, 251, 102, 294, 75, 267, 93, 285)(65, 257, 111, 303, 159, 351, 176, 368, 162, 354, 170, 362, 134, 326, 100, 292)(66, 258, 112, 304, 160, 352, 177, 369, 157, 349, 168, 360, 135, 327, 96, 288)(69, 261, 116, 308, 163, 355, 175, 367, 153, 345, 169, 361, 138, 330, 99, 291)(70, 262, 117, 309, 164, 356, 180, 372, 154, 346, 167, 359, 139, 331, 95, 287)(107, 299, 147, 339, 179, 371, 149, 341, 119, 311, 146, 338, 178, 370, 150, 342)(108, 300, 155, 347, 181, 373, 166, 358, 120, 312, 165, 357, 182, 374, 156, 348)(110, 302, 158, 350, 118, 310, 144, 336, 113, 305, 161, 353, 115, 307, 152, 344)(143, 335, 172, 364, 186, 378, 173, 365, 151, 343, 171, 363, 185, 377, 174, 366)(183, 375, 187, 379, 191, 383, 189, 381, 184, 376, 188, 380, 192, 384, 190, 382)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 421)(19, 424)(20, 425)(21, 394)(22, 429)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 443)(31, 445)(32, 399)(33, 449)(34, 450)(35, 453)(36, 454)(37, 402)(38, 458)(39, 459)(40, 403)(41, 404)(42, 464)(43, 465)(44, 466)(45, 406)(46, 407)(47, 467)(48, 468)(49, 469)(50, 409)(51, 410)(52, 474)(53, 475)(54, 411)(55, 479)(56, 480)(57, 483)(58, 484)(59, 414)(60, 488)(61, 415)(62, 491)(63, 492)(64, 494)(65, 417)(66, 418)(67, 497)(68, 499)(69, 419)(70, 420)(71, 502)(72, 503)(73, 504)(74, 422)(75, 423)(76, 501)(77, 496)(78, 500)(79, 495)(80, 426)(81, 427)(82, 428)(83, 431)(84, 432)(85, 433)(86, 518)(87, 519)(88, 522)(89, 523)(90, 436)(91, 437)(92, 527)(93, 528)(94, 530)(95, 439)(96, 440)(97, 531)(98, 533)(99, 441)(100, 442)(101, 534)(102, 535)(103, 536)(104, 444)(105, 537)(106, 538)(107, 446)(108, 447)(109, 541)(110, 448)(111, 463)(112, 461)(113, 451)(114, 546)(115, 452)(116, 462)(117, 460)(118, 455)(119, 456)(120, 457)(121, 549)(122, 539)(123, 550)(124, 540)(125, 543)(126, 544)(127, 547)(128, 548)(129, 551)(130, 552)(131, 553)(132, 554)(133, 555)(134, 470)(135, 471)(136, 556)(137, 557)(138, 472)(139, 473)(140, 558)(141, 559)(142, 560)(143, 476)(144, 477)(145, 561)(146, 478)(147, 481)(148, 564)(149, 482)(150, 485)(151, 486)(152, 487)(153, 489)(154, 490)(155, 506)(156, 508)(157, 493)(158, 567)(159, 509)(160, 510)(161, 568)(162, 498)(163, 511)(164, 512)(165, 505)(166, 507)(167, 513)(168, 514)(169, 515)(170, 516)(171, 517)(172, 520)(173, 521)(174, 524)(175, 525)(176, 526)(177, 529)(178, 571)(179, 572)(180, 532)(181, 573)(182, 574)(183, 542)(184, 545)(185, 575)(186, 576)(187, 562)(188, 563)(189, 565)(190, 566)(191, 569)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2925
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.2929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^-2 * R * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-1)^4, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^6 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 31, 223)(16, 208, 33, 225)(18, 210, 37, 229)(19, 211, 39, 231)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(24, 216, 48, 240)(26, 218, 52, 244)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 60, 252)(32, 224, 63, 255)(34, 226, 67, 259)(35, 227, 69, 261)(36, 228, 71, 263)(38, 230, 53, 245)(40, 232, 77, 269)(42, 234, 80, 272)(43, 235, 81, 273)(44, 236, 82, 274)(47, 239, 85, 277)(49, 241, 89, 281)(50, 242, 91, 283)(51, 243, 93, 285)(55, 247, 99, 291)(57, 249, 102, 294)(58, 250, 103, 295)(59, 251, 104, 296)(61, 253, 101, 293)(62, 254, 88, 280)(64, 256, 109, 301)(65, 257, 98, 290)(66, 258, 84, 276)(68, 260, 114, 306)(70, 262, 92, 284)(72, 264, 94, 286)(73, 265, 119, 311)(74, 266, 120, 312)(75, 267, 100, 292)(76, 268, 87, 279)(78, 270, 97, 289)(79, 271, 83, 275)(86, 278, 133, 325)(90, 282, 138, 330)(95, 287, 143, 335)(96, 288, 144, 336)(105, 297, 149, 341)(106, 298, 139, 331)(107, 299, 155, 347)(108, 300, 137, 329)(110, 302, 150, 342)(111, 303, 140, 332)(112, 304, 158, 350)(113, 305, 132, 324)(115, 307, 130, 322)(116, 308, 135, 327)(117, 309, 146, 338)(118, 310, 148, 340)(121, 313, 151, 343)(122, 314, 141, 333)(123, 315, 152, 344)(124, 316, 142, 334)(125, 317, 129, 321)(126, 318, 134, 326)(127, 319, 145, 337)(128, 320, 147, 339)(131, 323, 169, 361)(136, 328, 172, 364)(153, 345, 171, 363)(154, 346, 180, 372)(156, 348, 178, 370)(157, 349, 167, 359)(159, 351, 183, 375)(160, 352, 181, 373)(161, 353, 184, 376)(162, 354, 182, 374)(163, 355, 179, 371)(164, 356, 170, 362)(165, 357, 177, 369)(166, 358, 168, 360)(173, 365, 187, 379)(174, 366, 185, 377)(175, 367, 188, 380)(176, 368, 186, 378)(189, 381, 192, 384)(190, 382, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 422, 614, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 437, 629, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 416, 608, 448, 640, 429, 621, 452, 644, 418, 610, 400, 592)(393, 585, 403, 595, 424, 616, 458, 650, 421, 613, 457, 649, 426, 618, 404, 596)(395, 587, 407, 599, 431, 623, 470, 662, 444, 636, 474, 666, 433, 625, 408, 600)(397, 589, 411, 603, 439, 631, 480, 672, 436, 628, 479, 671, 441, 633, 412, 604)(401, 593, 419, 611, 454, 646, 428, 620, 405, 597, 427, 619, 456, 648, 420, 612)(409, 601, 434, 626, 476, 668, 443, 635, 413, 605, 442, 634, 478, 670, 435, 627)(415, 607, 445, 637, 489, 681, 537, 729, 498, 690, 538, 730, 490, 682, 446, 638)(417, 609, 449, 641, 494, 686, 541, 733, 493, 685, 540, 732, 495, 687, 450, 642)(423, 615, 459, 651, 505, 697, 548, 740, 503, 695, 547, 739, 506, 698, 460, 652)(425, 617, 462, 654, 507, 699, 550, 742, 504, 696, 549, 741, 508, 700, 463, 655)(430, 622, 467, 659, 513, 705, 551, 743, 522, 714, 552, 744, 514, 706, 468, 660)(432, 624, 471, 663, 518, 710, 555, 747, 517, 709, 554, 746, 519, 711, 472, 664)(438, 630, 481, 673, 529, 721, 562, 754, 527, 719, 561, 753, 530, 722, 482, 674)(440, 632, 484, 676, 531, 723, 564, 756, 528, 720, 563, 755, 532, 724, 485, 677)(447, 639, 491, 683, 464, 656, 497, 689, 451, 643, 496, 688, 461, 653, 492, 684)(453, 645, 499, 691, 543, 735, 510, 702, 465, 657, 509, 701, 544, 736, 500, 692)(455, 647, 501, 693, 545, 737, 512, 704, 466, 658, 511, 703, 546, 738, 502, 694)(469, 661, 515, 707, 486, 678, 521, 713, 473, 665, 520, 712, 483, 675, 516, 708)(475, 667, 523, 715, 557, 749, 534, 726, 487, 679, 533, 725, 558, 750, 524, 716)(477, 669, 525, 717, 559, 751, 536, 728, 488, 680, 535, 727, 560, 752, 526, 718)(539, 731, 565, 757, 573, 765, 568, 760, 542, 734, 567, 759, 574, 766, 566, 758)(553, 745, 569, 761, 575, 767, 572, 764, 556, 748, 571, 763, 576, 768, 570, 762)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 415)(16, 417)(17, 392)(18, 421)(19, 423)(20, 425)(21, 394)(22, 429)(23, 430)(24, 432)(25, 396)(26, 436)(27, 438)(28, 440)(29, 398)(30, 444)(31, 399)(32, 447)(33, 400)(34, 451)(35, 453)(36, 455)(37, 402)(38, 437)(39, 403)(40, 461)(41, 404)(42, 464)(43, 465)(44, 466)(45, 406)(46, 407)(47, 469)(48, 408)(49, 473)(50, 475)(51, 477)(52, 410)(53, 422)(54, 411)(55, 483)(56, 412)(57, 486)(58, 487)(59, 488)(60, 414)(61, 485)(62, 472)(63, 416)(64, 493)(65, 482)(66, 468)(67, 418)(68, 498)(69, 419)(70, 476)(71, 420)(72, 478)(73, 503)(74, 504)(75, 484)(76, 471)(77, 424)(78, 481)(79, 467)(80, 426)(81, 427)(82, 428)(83, 463)(84, 450)(85, 431)(86, 517)(87, 460)(88, 446)(89, 433)(90, 522)(91, 434)(92, 454)(93, 435)(94, 456)(95, 527)(96, 528)(97, 462)(98, 449)(99, 439)(100, 459)(101, 445)(102, 441)(103, 442)(104, 443)(105, 533)(106, 523)(107, 539)(108, 521)(109, 448)(110, 534)(111, 524)(112, 542)(113, 516)(114, 452)(115, 514)(116, 519)(117, 530)(118, 532)(119, 457)(120, 458)(121, 535)(122, 525)(123, 536)(124, 526)(125, 513)(126, 518)(127, 529)(128, 531)(129, 509)(130, 499)(131, 553)(132, 497)(133, 470)(134, 510)(135, 500)(136, 556)(137, 492)(138, 474)(139, 490)(140, 495)(141, 506)(142, 508)(143, 479)(144, 480)(145, 511)(146, 501)(147, 512)(148, 502)(149, 489)(150, 494)(151, 505)(152, 507)(153, 555)(154, 564)(155, 491)(156, 562)(157, 551)(158, 496)(159, 567)(160, 565)(161, 568)(162, 566)(163, 563)(164, 554)(165, 561)(166, 552)(167, 541)(168, 550)(169, 515)(170, 548)(171, 537)(172, 520)(173, 571)(174, 569)(175, 572)(176, 570)(177, 549)(178, 540)(179, 547)(180, 538)(181, 544)(182, 546)(183, 543)(184, 545)(185, 558)(186, 560)(187, 557)(188, 559)(189, 576)(190, 575)(191, 574)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 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 E21.2930
Graph:: bipartite
	v = 120 e = 384 f = 224
	degree seq :: [ 4^96, 16^24 ]

E21.2930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (D8 x A4) : C2 (small group id <192, 974>)
Aut   = $<384, 18032>$ (small group id <384, 18032>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y1^-1 * Y3^3)^2, (Y1^-1 * Y3^3)^2, (Y3 * Y1^-1)^4, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^2 * Y1^3, Y1^2 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3^-2 * Y1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 55, 247, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 49, 241, 20, 212, 7, 199)(8, 200, 21, 213, 50, 242, 92, 284, 42, 234, 17, 209)(10, 202, 25, 217, 60, 252, 87, 279, 65, 257, 27, 219)(12, 204, 30, 222, 69, 261, 128, 320, 75, 267, 32, 224)(15, 207, 37, 229, 82, 274, 84, 276, 81, 273, 35, 227)(18, 210, 43, 235, 93, 285, 145, 337, 85, 277, 39, 231)(19, 211, 45, 237, 98, 290, 70, 262, 103, 295, 47, 239)(22, 214, 53, 245, 111, 303, 76, 268, 110, 302, 51, 243)(24, 216, 58, 250, 90, 282, 41, 233, 88, 280, 56, 248)(26, 218, 62, 254, 123, 315, 172, 364, 112, 304, 54, 246)(28, 220, 66, 258, 127, 319, 144, 336, 107, 299, 52, 244)(31, 223, 71, 263, 94, 286, 44, 236, 96, 288, 73, 265)(33, 225, 40, 232, 86, 278, 146, 338, 137, 329, 77, 269)(36, 228, 74, 266, 135, 327, 147, 339, 91, 283, 78, 270)(38, 230, 72, 264, 134, 326, 166, 358, 142, 334, 83, 275)(46, 238, 100, 292, 161, 353, 139, 331, 158, 350, 97, 289)(48, 240, 104, 296, 57, 249, 115, 307, 155, 347, 95, 287)(59, 251, 119, 311, 171, 363, 130, 322, 175, 367, 117, 309)(61, 253, 109, 301, 170, 362, 114, 306, 149, 341, 121, 313)(63, 255, 101, 293, 151, 343, 182, 374, 176, 368, 120, 312)(64, 256, 125, 317, 165, 357, 105, 297, 152, 344, 118, 310)(67, 259, 102, 294, 163, 355, 116, 308, 153, 345, 129, 321)(68, 260, 113, 305, 154, 346, 108, 300, 168, 360, 131, 323)(79, 271, 138, 330, 156, 348, 136, 328, 167, 359, 106, 298)(80, 272, 140, 332, 159, 351, 99, 291, 157, 349, 133, 325)(89, 281, 150, 342, 184, 376, 169, 361, 126, 318, 148, 340)(122, 314, 178, 370, 187, 379, 180, 372, 189, 381, 162, 354)(124, 316, 174, 366, 191, 383, 177, 369, 183, 375, 179, 371)(132, 324, 143, 335, 141, 333, 181, 373, 186, 378, 164, 356)(160, 352, 188, 380, 173, 365, 190, 382, 192, 384, 185, 377)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 415)(13, 417)(14, 419)(15, 389)(16, 423)(17, 425)(18, 390)(19, 430)(20, 432)(21, 435)(22, 392)(23, 440)(24, 393)(25, 395)(26, 447)(27, 448)(28, 451)(29, 452)(30, 397)(31, 456)(32, 458)(33, 460)(34, 462)(35, 464)(36, 398)(37, 467)(38, 399)(39, 468)(40, 400)(41, 473)(42, 475)(43, 478)(44, 402)(45, 404)(46, 485)(47, 486)(48, 489)(49, 490)(50, 491)(51, 493)(52, 405)(53, 496)(54, 406)(55, 488)(56, 498)(57, 407)(58, 501)(59, 408)(60, 505)(61, 409)(62, 411)(63, 422)(64, 420)(65, 510)(66, 413)(67, 421)(68, 514)(69, 482)(70, 414)(71, 416)(72, 504)(73, 500)(74, 502)(75, 520)(76, 503)(77, 499)(78, 476)(79, 418)(80, 508)(81, 469)(82, 513)(83, 506)(84, 527)(85, 528)(86, 444)(87, 424)(88, 426)(89, 535)(90, 536)(91, 537)(92, 538)(93, 539)(94, 541)(95, 427)(96, 542)(97, 428)(98, 543)(99, 429)(100, 431)(101, 438)(102, 436)(103, 548)(104, 433)(105, 437)(106, 550)(107, 529)(108, 434)(109, 546)(110, 461)(111, 549)(112, 544)(113, 439)(114, 557)(115, 547)(116, 441)(117, 558)(118, 442)(119, 560)(120, 443)(121, 561)(122, 445)(123, 563)(124, 446)(125, 449)(126, 564)(127, 453)(128, 450)(129, 531)(130, 562)(131, 530)(132, 454)(133, 455)(134, 457)(135, 459)(136, 565)(137, 552)(138, 545)(139, 463)(140, 465)(141, 466)(142, 551)(143, 566)(144, 509)(145, 522)(146, 519)(147, 470)(148, 471)(149, 472)(150, 474)(151, 481)(152, 479)(153, 480)(154, 507)(155, 521)(156, 477)(157, 569)(158, 567)(159, 571)(160, 483)(161, 573)(162, 484)(163, 487)(164, 574)(165, 511)(166, 572)(167, 512)(168, 568)(169, 492)(170, 494)(171, 495)(172, 497)(173, 518)(174, 517)(175, 515)(176, 516)(177, 525)(178, 526)(179, 523)(180, 524)(181, 575)(182, 532)(183, 533)(184, 576)(185, 534)(186, 540)(187, 555)(188, 556)(189, 553)(190, 554)(191, 559)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2929
Graph:: simple bipartite
	v = 224 e = 384 f = 120
	degree seq :: [ 2^192, 12^32 ]

E21.2931 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1 * T2 * T1^3)^2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1)^6, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 64, 109, 74, 116, 67, 34)(17, 35, 68, 106, 61, 105, 71, 36)(28, 55, 94, 151, 104, 157, 97, 56)(29, 57, 98, 148, 91, 147, 101, 58)(32, 62, 90, 73, 37, 72, 85, 63)(40, 76, 124, 136, 83, 135, 127, 77)(41, 78, 128, 138, 84, 137, 130, 79)(50, 86, 139, 132, 81, 131, 142, 87)(51, 88, 143, 134, 82, 133, 146, 89)(54, 92, 75, 103, 59, 102, 80, 93)(65, 111, 140, 100, 161, 173, 169, 112)(66, 113, 155, 96, 154, 126, 141, 114)(69, 118, 160, 99, 159, 129, 144, 119)(70, 120, 145, 177, 165, 125, 153, 95)(107, 152, 179, 158, 122, 156, 180, 162)(108, 166, 181, 172, 123, 171, 182, 167)(110, 168, 117, 150, 115, 170, 121, 164)(149, 174, 185, 176, 163, 175, 186, 178)(183, 187, 191, 189, 184, 188, 192, 190)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 65)(34, 66)(35, 69)(36, 70)(38, 74)(39, 75)(42, 80)(43, 81)(44, 82)(47, 83)(48, 84)(49, 85)(52, 90)(53, 91)(55, 95)(56, 96)(57, 99)(58, 100)(60, 104)(62, 107)(63, 108)(64, 110)(67, 115)(68, 117)(71, 121)(72, 122)(73, 123)(76, 125)(77, 126)(78, 129)(79, 111)(86, 140)(87, 141)(88, 144)(89, 145)(92, 149)(93, 150)(94, 152)(97, 156)(98, 158)(101, 162)(102, 163)(103, 164)(105, 159)(106, 165)(109, 154)(112, 148)(113, 136)(114, 151)(116, 161)(118, 137)(119, 147)(120, 135)(124, 171)(127, 166)(128, 167)(130, 172)(131, 169)(132, 155)(133, 160)(134, 153)(138, 173)(139, 174)(142, 175)(143, 176)(146, 178)(157, 177)(168, 183)(170, 184)(179, 187)(180, 188)(181, 189)(182, 190)(185, 191)(186, 192)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2932
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2932 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-2 * T2 * T1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1 * T2 * T1^2 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 80, 61, 32)(17, 33, 62, 81, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 135, 82, 43)(26, 50, 93, 76, 96, 51)(27, 52, 97, 77, 100, 53)(30, 56, 104, 136, 107, 57)(35, 66, 120, 137, 123, 67)(37, 70, 86, 45, 85, 71)(38, 72, 88, 46, 87, 73)(49, 91, 147, 133, 150, 92)(54, 101, 163, 134, 166, 102)(55, 90, 138, 175, 167, 103)(59, 109, 157, 121, 171, 110)(60, 111, 151, 122, 142, 112)(63, 115, 162, 105, 143, 116)(64, 117, 169, 106, 141, 118)(69, 124, 140, 84, 139, 125)(74, 130, 146, 89, 145, 131)(94, 152, 129, 164, 181, 153)(95, 154, 127, 165, 108, 155)(98, 158, 128, 148, 119, 159)(99, 160, 179, 149, 113, 161)(114, 172, 183, 168, 126, 173)(144, 177, 187, 176, 156, 178)(170, 180, 174, 182, 188, 185)(184, 189, 192, 191, 186, 190)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 108)(61, 113)(62, 114)(65, 119)(66, 121)(67, 122)(68, 103)(70, 126)(71, 127)(72, 128)(73, 129)(75, 133)(78, 134)(79, 136)(82, 137)(83, 138)(85, 141)(86, 142)(87, 143)(88, 144)(91, 148)(92, 149)(93, 151)(96, 156)(97, 157)(100, 162)(101, 164)(102, 165)(104, 168)(107, 158)(109, 170)(110, 147)(111, 146)(112, 163)(115, 139)(116, 150)(117, 145)(118, 174)(120, 154)(123, 160)(124, 159)(125, 153)(130, 172)(131, 155)(132, 167)(135, 175)(140, 176)(152, 180)(161, 182)(166, 177)(169, 184)(171, 186)(173, 185)(178, 188)(179, 189)(181, 190)(183, 191)(187, 192)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2931
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2933 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, T2^-2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2 * T1 * T2^-1, T2^2 * T1 * T2 * T1 * T2^3 * T1 * T2^-1 * T1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2 * T1 * T2^-2, T2^-2 * T1 * T2 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2^2 * T1)^2, (T2 * T1 * T2^-2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 118, 65, 34)(21, 40, 76, 133, 78, 41)(24, 46, 87, 150, 89, 47)(28, 53, 100, 165, 102, 54)(29, 55, 104, 75, 106, 56)(31, 59, 110, 77, 112, 60)(35, 66, 122, 174, 123, 67)(36, 68, 116, 62, 115, 69)(38, 72, 120, 64, 119, 73)(42, 79, 136, 99, 138, 80)(44, 83, 142, 101, 144, 84)(48, 90, 154, 182, 155, 91)(49, 92, 148, 86, 147, 93)(51, 96, 152, 88, 151, 97)(57, 107, 137, 132, 157, 108)(61, 113, 143, 134, 171, 114)(70, 126, 172, 117, 156, 127)(74, 130, 141, 121, 160, 131)(81, 139, 105, 164, 125, 140)(85, 145, 111, 166, 179, 146)(94, 158, 180, 149, 124, 159)(98, 162, 109, 153, 128, 163)(103, 167, 129, 170, 183, 168)(135, 175, 161, 178, 187, 176)(169, 184, 173, 186, 191, 185)(177, 188, 181, 190, 192, 189)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 227)(211, 228)(212, 230)(214, 234)(215, 236)(217, 240)(218, 241)(219, 243)(222, 249)(224, 253)(225, 254)(226, 256)(229, 262)(231, 266)(232, 267)(233, 269)(235, 273)(237, 277)(238, 278)(239, 280)(242, 286)(244, 290)(245, 291)(246, 293)(247, 295)(248, 297)(250, 282)(251, 301)(252, 303)(255, 309)(257, 313)(258, 274)(259, 287)(260, 316)(261, 317)(263, 283)(264, 320)(265, 321)(268, 324)(270, 326)(271, 327)(272, 329)(275, 333)(276, 335)(279, 341)(281, 345)(284, 348)(285, 349)(288, 352)(289, 353)(292, 356)(294, 358)(296, 334)(298, 361)(299, 355)(300, 338)(302, 328)(304, 340)(305, 362)(306, 332)(307, 343)(308, 336)(310, 346)(311, 339)(312, 365)(314, 342)(315, 357)(318, 354)(319, 360)(322, 350)(323, 331)(325, 347)(330, 369)(337, 370)(344, 373)(351, 368)(359, 367)(363, 378)(364, 377)(366, 374)(371, 382)(372, 381)(375, 380)(376, 379)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2937
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2934 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^6, (T2^3 * T1^-1)^2, T2^8, T2^2 * T1^-2 * T2 * T1 * T2^-1 * T1^3, T1^-2 * T2^-2 * T1^2 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-2, T2^-2 * T1^2 * T2^2 * T1 * T2^-1 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 38, 15, 5)(2, 7, 19, 46, 103, 54, 22, 8)(4, 12, 31, 73, 124, 59, 24, 9)(6, 17, 41, 91, 157, 99, 44, 18)(11, 28, 67, 37, 85, 114, 61, 25)(13, 33, 77, 123, 182, 138, 71, 30)(14, 35, 81, 128, 62, 27, 64, 36)(16, 39, 86, 149, 186, 154, 89, 40)(20, 48, 107, 53, 116, 165, 101, 45)(21, 51, 112, 68, 102, 47, 104, 52)(23, 56, 118, 171, 139, 74, 120, 57)(29, 69, 135, 179, 148, 185, 132, 66)(32, 75, 122, 58, 121, 83, 130, 72)(34, 79, 143, 184, 127, 159, 94, 80)(42, 93, 160, 98, 166, 144, 155, 90)(43, 96, 164, 108, 156, 92, 158, 97)(49, 109, 55, 117, 180, 190, 172, 106)(50, 110, 175, 189, 169, 134, 151, 111)(60, 125, 153, 88, 84, 133, 161, 126)(65, 87, 150, 145, 82, 146, 176, 129)(70, 115, 173, 131, 168, 100, 167, 137)(76, 136, 152, 147, 181, 191, 183, 140)(78, 141, 177, 113, 178, 119, 170, 105)(95, 162, 188, 192, 187, 174, 142, 163)(193, 194, 198, 208, 205, 196)(195, 201, 215, 247, 221, 203)(197, 206, 226, 241, 212, 199)(200, 213, 242, 286, 234, 209)(202, 217, 252, 278, 257, 219)(204, 222, 262, 327, 268, 224)(207, 229, 276, 281, 274, 227)(210, 235, 287, 343, 279, 231)(211, 237, 292, 269, 297, 239)(214, 245, 307, 263, 305, 243)(216, 250, 288, 236, 290, 248)(218, 254, 319, 372, 308, 246)(220, 258, 323, 342, 326, 260)(223, 264, 284, 233, 282, 266)(225, 232, 280, 344, 334, 270)(228, 275, 339, 345, 336, 271)(230, 265, 331, 364, 340, 277)(238, 294, 361, 335, 358, 291)(240, 298, 363, 333, 366, 300)(244, 306, 371, 329, 368, 302)(249, 311, 354, 289, 357, 309)(251, 315, 360, 324, 373, 313)(253, 296, 362, 312, 347, 317)(255, 295, 349, 378, 374, 316)(256, 321, 359, 293, 350, 322)(259, 304, 369, 310, 352, 325)(261, 301, 272, 303, 355, 328)(267, 332, 353, 285, 351, 320)(273, 337, 365, 299, 356, 314)(283, 348, 379, 367, 338, 346)(318, 375, 380, 370, 330, 341)(376, 381, 384, 383, 377, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2938
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2935 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^2 * T2 * T1^2)^2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 65)(34, 66)(35, 69)(36, 70)(38, 74)(39, 75)(42, 80)(43, 81)(44, 82)(47, 83)(48, 84)(49, 85)(52, 90)(53, 91)(55, 95)(56, 96)(57, 99)(58, 100)(60, 104)(62, 107)(63, 108)(64, 110)(67, 115)(68, 117)(71, 121)(72, 122)(73, 123)(76, 125)(77, 126)(78, 129)(79, 111)(86, 140)(87, 141)(88, 144)(89, 145)(92, 149)(93, 150)(94, 152)(97, 156)(98, 158)(101, 162)(102, 163)(103, 164)(105, 159)(106, 165)(109, 154)(112, 148)(113, 136)(114, 151)(116, 161)(118, 137)(119, 147)(120, 135)(124, 171)(127, 166)(128, 167)(130, 172)(131, 169)(132, 155)(133, 160)(134, 153)(138, 173)(139, 174)(142, 175)(143, 176)(146, 178)(157, 177)(168, 183)(170, 184)(179, 187)(180, 188)(181, 189)(182, 190)(185, 191)(186, 192)(193, 194, 197, 203, 215, 214, 202, 196)(195, 199, 207, 223, 238, 230, 210, 200)(198, 205, 219, 245, 237, 252, 222, 206)(201, 211, 231, 240, 216, 239, 234, 212)(204, 217, 241, 236, 213, 235, 244, 218)(208, 225, 256, 301, 266, 308, 259, 226)(209, 227, 260, 298, 253, 297, 263, 228)(220, 247, 286, 343, 296, 349, 289, 248)(221, 249, 290, 340, 283, 339, 293, 250)(224, 254, 282, 265, 229, 264, 277, 255)(232, 268, 316, 328, 275, 327, 319, 269)(233, 270, 320, 330, 276, 329, 322, 271)(242, 278, 331, 324, 273, 323, 334, 279)(243, 280, 335, 326, 274, 325, 338, 281)(246, 284, 267, 295, 251, 294, 272, 285)(257, 303, 332, 292, 353, 365, 361, 304)(258, 305, 347, 288, 346, 318, 333, 306)(261, 310, 352, 291, 351, 321, 336, 311)(262, 312, 337, 369, 357, 317, 345, 287)(299, 344, 371, 350, 314, 348, 372, 354)(300, 358, 373, 364, 315, 363, 374, 359)(302, 360, 309, 342, 307, 362, 313, 356)(341, 366, 377, 368, 355, 367, 378, 370)(375, 379, 383, 381, 376, 380, 384, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2936
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2936 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, T2^-2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2 * T1 * T2^-1, T2^2 * T1 * T2 * T1 * T2^3 * T1 * T2^-1 * T1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2 * T1 * T2^-2, T2^-2 * T1 * T2 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2^2 * T1)^2, (T2 * T1 * T2^-2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 58, 250, 32, 224, 16, 208)(9, 201, 19, 211, 37, 229, 71, 263, 39, 231, 20, 212)(11, 203, 22, 214, 43, 235, 82, 274, 45, 237, 23, 215)(13, 205, 26, 218, 50, 242, 95, 287, 52, 244, 27, 219)(17, 209, 33, 225, 63, 255, 118, 310, 65, 257, 34, 226)(21, 213, 40, 232, 76, 268, 133, 325, 78, 270, 41, 233)(24, 216, 46, 238, 87, 279, 150, 342, 89, 281, 47, 239)(28, 220, 53, 245, 100, 292, 165, 357, 102, 294, 54, 246)(29, 221, 55, 247, 104, 296, 75, 267, 106, 298, 56, 248)(31, 223, 59, 251, 110, 302, 77, 269, 112, 304, 60, 252)(35, 227, 66, 258, 122, 314, 174, 366, 123, 315, 67, 259)(36, 228, 68, 260, 116, 308, 62, 254, 115, 307, 69, 261)(38, 230, 72, 264, 120, 312, 64, 256, 119, 311, 73, 265)(42, 234, 79, 271, 136, 328, 99, 291, 138, 330, 80, 272)(44, 236, 83, 275, 142, 334, 101, 293, 144, 336, 84, 276)(48, 240, 90, 282, 154, 346, 182, 374, 155, 347, 91, 283)(49, 241, 92, 284, 148, 340, 86, 278, 147, 339, 93, 285)(51, 243, 96, 288, 152, 344, 88, 280, 151, 343, 97, 289)(57, 249, 107, 299, 137, 329, 132, 324, 157, 349, 108, 300)(61, 253, 113, 305, 143, 335, 134, 326, 171, 363, 114, 306)(70, 262, 126, 318, 172, 364, 117, 309, 156, 348, 127, 319)(74, 266, 130, 322, 141, 333, 121, 313, 160, 352, 131, 323)(81, 273, 139, 331, 105, 297, 164, 356, 125, 317, 140, 332)(85, 277, 145, 337, 111, 303, 166, 358, 179, 371, 146, 338)(94, 286, 158, 350, 180, 372, 149, 341, 124, 316, 159, 351)(98, 290, 162, 354, 109, 301, 153, 345, 128, 320, 163, 355)(103, 295, 167, 359, 129, 321, 170, 362, 183, 375, 168, 360)(135, 327, 175, 367, 161, 353, 178, 370, 187, 379, 176, 368)(169, 361, 184, 376, 173, 365, 186, 378, 191, 383, 185, 377)(177, 369, 188, 380, 181, 373, 190, 382, 192, 384, 189, 381)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 240)(26, 241)(27, 243)(28, 206)(29, 207)(30, 249)(31, 208)(32, 253)(33, 254)(34, 256)(35, 210)(36, 211)(37, 262)(38, 212)(39, 266)(40, 267)(41, 269)(42, 214)(43, 273)(44, 215)(45, 277)(46, 278)(47, 280)(48, 217)(49, 218)(50, 286)(51, 219)(52, 290)(53, 291)(54, 293)(55, 295)(56, 297)(57, 222)(58, 282)(59, 301)(60, 303)(61, 224)(62, 225)(63, 309)(64, 226)(65, 313)(66, 274)(67, 287)(68, 316)(69, 317)(70, 229)(71, 283)(72, 320)(73, 321)(74, 231)(75, 232)(76, 324)(77, 233)(78, 326)(79, 327)(80, 329)(81, 235)(82, 258)(83, 333)(84, 335)(85, 237)(86, 238)(87, 341)(88, 239)(89, 345)(90, 250)(91, 263)(92, 348)(93, 349)(94, 242)(95, 259)(96, 352)(97, 353)(98, 244)(99, 245)(100, 356)(101, 246)(102, 358)(103, 247)(104, 334)(105, 248)(106, 361)(107, 355)(108, 338)(109, 251)(110, 328)(111, 252)(112, 340)(113, 362)(114, 332)(115, 343)(116, 336)(117, 255)(118, 346)(119, 339)(120, 365)(121, 257)(122, 342)(123, 357)(124, 260)(125, 261)(126, 354)(127, 360)(128, 264)(129, 265)(130, 350)(131, 331)(132, 268)(133, 347)(134, 270)(135, 271)(136, 302)(137, 272)(138, 369)(139, 323)(140, 306)(141, 275)(142, 296)(143, 276)(144, 308)(145, 370)(146, 300)(147, 311)(148, 304)(149, 279)(150, 314)(151, 307)(152, 373)(153, 281)(154, 310)(155, 325)(156, 284)(157, 285)(158, 322)(159, 368)(160, 288)(161, 289)(162, 318)(163, 299)(164, 292)(165, 315)(166, 294)(167, 367)(168, 319)(169, 298)(170, 305)(171, 378)(172, 377)(173, 312)(174, 374)(175, 359)(176, 351)(177, 330)(178, 337)(179, 382)(180, 381)(181, 344)(182, 366)(183, 380)(184, 379)(185, 364)(186, 363)(187, 376)(188, 375)(189, 372)(190, 371)(191, 384)(192, 383)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2935
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 12^32 ]

E21.2937 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^6, (T2^3 * T1^-1)^2, T2^8, T2^2 * T1^-2 * T2 * T1 * T2^-1 * T1^3, T1^-2 * T2^-2 * T1^2 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-2, T2^-2 * T1^2 * T2^2 * T1 * T2^-1 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^3 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 26, 218, 63, 255, 38, 230, 15, 207, 5, 197)(2, 194, 7, 199, 19, 211, 46, 238, 103, 295, 54, 246, 22, 214, 8, 200)(4, 196, 12, 204, 31, 223, 73, 265, 124, 316, 59, 251, 24, 216, 9, 201)(6, 198, 17, 209, 41, 233, 91, 283, 157, 349, 99, 291, 44, 236, 18, 210)(11, 203, 28, 220, 67, 259, 37, 229, 85, 277, 114, 306, 61, 253, 25, 217)(13, 205, 33, 225, 77, 269, 123, 315, 182, 374, 138, 330, 71, 263, 30, 222)(14, 206, 35, 227, 81, 273, 128, 320, 62, 254, 27, 219, 64, 256, 36, 228)(16, 208, 39, 231, 86, 278, 149, 341, 186, 378, 154, 346, 89, 281, 40, 232)(20, 212, 48, 240, 107, 299, 53, 245, 116, 308, 165, 357, 101, 293, 45, 237)(21, 213, 51, 243, 112, 304, 68, 260, 102, 294, 47, 239, 104, 296, 52, 244)(23, 215, 56, 248, 118, 310, 171, 363, 139, 331, 74, 266, 120, 312, 57, 249)(29, 221, 69, 261, 135, 327, 179, 371, 148, 340, 185, 377, 132, 324, 66, 258)(32, 224, 75, 267, 122, 314, 58, 250, 121, 313, 83, 275, 130, 322, 72, 264)(34, 226, 79, 271, 143, 335, 184, 376, 127, 319, 159, 351, 94, 286, 80, 272)(42, 234, 93, 285, 160, 352, 98, 290, 166, 358, 144, 336, 155, 347, 90, 282)(43, 235, 96, 288, 164, 356, 108, 300, 156, 348, 92, 284, 158, 350, 97, 289)(49, 241, 109, 301, 55, 247, 117, 309, 180, 372, 190, 382, 172, 364, 106, 298)(50, 242, 110, 302, 175, 367, 189, 381, 169, 361, 134, 326, 151, 343, 111, 303)(60, 252, 125, 317, 153, 345, 88, 280, 84, 276, 133, 325, 161, 353, 126, 318)(65, 257, 87, 279, 150, 342, 145, 337, 82, 274, 146, 338, 176, 368, 129, 321)(70, 262, 115, 307, 173, 365, 131, 323, 168, 360, 100, 292, 167, 359, 137, 329)(76, 268, 136, 328, 152, 344, 147, 339, 181, 373, 191, 383, 183, 375, 140, 332)(78, 270, 141, 333, 177, 369, 113, 305, 178, 370, 119, 311, 170, 362, 105, 297)(95, 287, 162, 354, 188, 380, 192, 384, 187, 379, 174, 366, 142, 334, 163, 355)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 206)(6, 208)(7, 197)(8, 213)(9, 215)(10, 217)(11, 195)(12, 222)(13, 196)(14, 226)(15, 229)(16, 205)(17, 200)(18, 235)(19, 237)(20, 199)(21, 242)(22, 245)(23, 247)(24, 250)(25, 252)(26, 254)(27, 202)(28, 258)(29, 203)(30, 262)(31, 264)(32, 204)(33, 232)(34, 241)(35, 207)(36, 275)(37, 276)(38, 265)(39, 210)(40, 280)(41, 282)(42, 209)(43, 287)(44, 290)(45, 292)(46, 294)(47, 211)(48, 298)(49, 212)(50, 286)(51, 214)(52, 306)(53, 307)(54, 218)(55, 221)(56, 216)(57, 311)(58, 288)(59, 315)(60, 278)(61, 296)(62, 319)(63, 295)(64, 321)(65, 219)(66, 323)(67, 304)(68, 220)(69, 301)(70, 327)(71, 305)(72, 284)(73, 331)(74, 223)(75, 332)(76, 224)(77, 297)(78, 225)(79, 228)(80, 303)(81, 337)(82, 227)(83, 339)(84, 281)(85, 230)(86, 257)(87, 231)(88, 344)(89, 274)(90, 266)(91, 348)(92, 233)(93, 351)(94, 234)(95, 343)(96, 236)(97, 357)(98, 248)(99, 238)(100, 269)(101, 350)(102, 361)(103, 349)(104, 362)(105, 239)(106, 363)(107, 356)(108, 240)(109, 272)(110, 244)(111, 355)(112, 369)(113, 243)(114, 371)(115, 263)(116, 246)(117, 249)(118, 352)(119, 354)(120, 347)(121, 251)(122, 273)(123, 360)(124, 255)(125, 253)(126, 375)(127, 372)(128, 267)(129, 359)(130, 256)(131, 342)(132, 373)(133, 259)(134, 260)(135, 268)(136, 261)(137, 368)(138, 341)(139, 364)(140, 353)(141, 366)(142, 270)(143, 358)(144, 271)(145, 365)(146, 346)(147, 345)(148, 277)(149, 318)(150, 326)(151, 279)(152, 334)(153, 336)(154, 283)(155, 317)(156, 379)(157, 378)(158, 322)(159, 320)(160, 325)(161, 285)(162, 289)(163, 328)(164, 314)(165, 309)(166, 291)(167, 293)(168, 324)(169, 335)(170, 312)(171, 333)(172, 340)(173, 299)(174, 300)(175, 338)(176, 302)(177, 310)(178, 330)(179, 329)(180, 308)(181, 313)(182, 316)(183, 380)(184, 381)(185, 382)(186, 374)(187, 367)(188, 370)(189, 384)(190, 376)(191, 377)(192, 383)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2933
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2938 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^2 * T2 * T1^2)^2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 37, 229)(19, 211, 40, 232)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 59, 251)(31, 223, 61, 253)(33, 225, 65, 257)(34, 226, 66, 258)(35, 227, 69, 261)(36, 228, 70, 262)(38, 230, 74, 266)(39, 231, 75, 267)(42, 234, 80, 272)(43, 235, 81, 273)(44, 236, 82, 274)(47, 239, 83, 275)(48, 240, 84, 276)(49, 241, 85, 277)(52, 244, 90, 282)(53, 245, 91, 283)(55, 247, 95, 287)(56, 248, 96, 288)(57, 249, 99, 291)(58, 250, 100, 292)(60, 252, 104, 296)(62, 254, 107, 299)(63, 255, 108, 300)(64, 256, 110, 302)(67, 259, 115, 307)(68, 260, 117, 309)(71, 263, 121, 313)(72, 264, 122, 314)(73, 265, 123, 315)(76, 268, 125, 317)(77, 269, 126, 318)(78, 270, 129, 321)(79, 271, 111, 303)(86, 278, 140, 332)(87, 279, 141, 333)(88, 280, 144, 336)(89, 281, 145, 337)(92, 284, 149, 341)(93, 285, 150, 342)(94, 286, 152, 344)(97, 289, 156, 348)(98, 290, 158, 350)(101, 293, 162, 354)(102, 294, 163, 355)(103, 295, 164, 356)(105, 297, 159, 351)(106, 298, 165, 357)(109, 301, 154, 346)(112, 304, 148, 340)(113, 305, 136, 328)(114, 306, 151, 343)(116, 308, 161, 353)(118, 310, 137, 329)(119, 311, 147, 339)(120, 312, 135, 327)(124, 316, 171, 363)(127, 319, 166, 358)(128, 320, 167, 359)(130, 322, 172, 364)(131, 323, 169, 361)(132, 324, 155, 347)(133, 325, 160, 352)(134, 326, 153, 345)(138, 330, 173, 365)(139, 331, 174, 366)(142, 334, 175, 367)(143, 335, 176, 368)(146, 338, 178, 370)(157, 349, 177, 369)(168, 360, 183, 375)(170, 362, 184, 376)(179, 371, 187, 379)(180, 372, 188, 380)(181, 373, 189, 381)(182, 374, 190, 382)(185, 377, 191, 383)(186, 378, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 231)(20, 201)(21, 235)(22, 202)(23, 214)(24, 239)(25, 241)(26, 204)(27, 245)(28, 247)(29, 249)(30, 206)(31, 238)(32, 254)(33, 256)(34, 208)(35, 260)(36, 209)(37, 264)(38, 210)(39, 240)(40, 268)(41, 270)(42, 212)(43, 244)(44, 213)(45, 252)(46, 230)(47, 234)(48, 216)(49, 236)(50, 278)(51, 280)(52, 218)(53, 237)(54, 284)(55, 286)(56, 220)(57, 290)(58, 221)(59, 294)(60, 222)(61, 297)(62, 282)(63, 224)(64, 301)(65, 303)(66, 305)(67, 226)(68, 298)(69, 310)(70, 312)(71, 228)(72, 277)(73, 229)(74, 308)(75, 295)(76, 316)(77, 232)(78, 320)(79, 233)(80, 285)(81, 323)(82, 325)(83, 327)(84, 329)(85, 255)(86, 331)(87, 242)(88, 335)(89, 243)(90, 265)(91, 339)(92, 267)(93, 246)(94, 343)(95, 262)(96, 346)(97, 248)(98, 340)(99, 351)(100, 353)(101, 250)(102, 272)(103, 251)(104, 349)(105, 263)(106, 253)(107, 344)(108, 358)(109, 266)(110, 360)(111, 332)(112, 257)(113, 347)(114, 258)(115, 362)(116, 259)(117, 342)(118, 352)(119, 261)(120, 337)(121, 356)(122, 348)(123, 363)(124, 328)(125, 345)(126, 333)(127, 269)(128, 330)(129, 336)(130, 271)(131, 334)(132, 273)(133, 338)(134, 274)(135, 319)(136, 275)(137, 322)(138, 276)(139, 324)(140, 292)(141, 306)(142, 279)(143, 326)(144, 311)(145, 369)(146, 281)(147, 293)(148, 283)(149, 366)(150, 307)(151, 296)(152, 371)(153, 287)(154, 318)(155, 288)(156, 372)(157, 289)(158, 314)(159, 321)(160, 291)(161, 365)(162, 299)(163, 367)(164, 302)(165, 317)(166, 373)(167, 300)(168, 309)(169, 304)(170, 313)(171, 374)(172, 315)(173, 361)(174, 377)(175, 378)(176, 355)(177, 357)(178, 341)(179, 350)(180, 354)(181, 364)(182, 359)(183, 379)(184, 380)(185, 368)(186, 370)(187, 383)(188, 384)(189, 376)(190, 375)(191, 381)(192, 382)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2934
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * R)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-1 * Y1)^2, Y2^6, Y2^3 * Y1 * Y2 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * R * Y2^2 * R * Y2^-2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2 * R * Y2^-2 * R * Y2 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 35, 227)(19, 211, 36, 228)(20, 212, 38, 230)(22, 214, 42, 234)(23, 215, 44, 236)(25, 217, 48, 240)(26, 218, 49, 241)(27, 219, 51, 243)(30, 222, 57, 249)(32, 224, 61, 253)(33, 225, 62, 254)(34, 226, 64, 256)(37, 229, 70, 262)(39, 231, 74, 266)(40, 232, 75, 267)(41, 233, 77, 269)(43, 235, 81, 273)(45, 237, 85, 277)(46, 238, 86, 278)(47, 239, 88, 280)(50, 242, 94, 286)(52, 244, 98, 290)(53, 245, 99, 291)(54, 246, 101, 293)(55, 247, 103, 295)(56, 248, 105, 297)(58, 250, 90, 282)(59, 251, 109, 301)(60, 252, 111, 303)(63, 255, 117, 309)(65, 257, 121, 313)(66, 258, 82, 274)(67, 259, 95, 287)(68, 260, 124, 316)(69, 261, 125, 317)(71, 263, 91, 283)(72, 264, 128, 320)(73, 265, 129, 321)(76, 268, 132, 324)(78, 270, 134, 326)(79, 271, 135, 327)(80, 272, 137, 329)(83, 275, 141, 333)(84, 276, 143, 335)(87, 279, 149, 341)(89, 281, 153, 345)(92, 284, 156, 348)(93, 285, 157, 349)(96, 288, 160, 352)(97, 289, 161, 353)(100, 292, 164, 356)(102, 294, 166, 358)(104, 296, 142, 334)(106, 298, 169, 361)(107, 299, 163, 355)(108, 300, 146, 338)(110, 302, 136, 328)(112, 304, 148, 340)(113, 305, 170, 362)(114, 306, 140, 332)(115, 307, 151, 343)(116, 308, 144, 336)(118, 310, 154, 346)(119, 311, 147, 339)(120, 312, 173, 365)(122, 314, 150, 342)(123, 315, 165, 357)(126, 318, 162, 354)(127, 319, 168, 360)(130, 322, 158, 350)(131, 323, 139, 331)(133, 325, 155, 347)(138, 330, 177, 369)(145, 337, 178, 370)(152, 344, 181, 373)(159, 351, 176, 368)(167, 359, 175, 367)(171, 363, 186, 378)(172, 364, 185, 377)(174, 366, 182, 374)(179, 371, 190, 382)(180, 372, 189, 381)(183, 375, 188, 380)(184, 376, 187, 379)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 442, 634, 416, 608, 400, 592)(393, 585, 403, 595, 421, 613, 455, 647, 423, 615, 404, 596)(395, 587, 406, 598, 427, 619, 466, 658, 429, 621, 407, 599)(397, 589, 410, 602, 434, 626, 479, 671, 436, 628, 411, 603)(401, 593, 417, 609, 447, 639, 502, 694, 449, 641, 418, 610)(405, 597, 424, 616, 460, 652, 517, 709, 462, 654, 425, 617)(408, 600, 430, 622, 471, 663, 534, 726, 473, 665, 431, 623)(412, 604, 437, 629, 484, 676, 549, 741, 486, 678, 438, 630)(413, 605, 439, 631, 488, 680, 459, 651, 490, 682, 440, 632)(415, 607, 443, 635, 494, 686, 461, 653, 496, 688, 444, 636)(419, 611, 450, 642, 506, 698, 558, 750, 507, 699, 451, 643)(420, 612, 452, 644, 500, 692, 446, 638, 499, 691, 453, 645)(422, 614, 456, 648, 504, 696, 448, 640, 503, 695, 457, 649)(426, 618, 463, 655, 520, 712, 483, 675, 522, 714, 464, 656)(428, 620, 467, 659, 526, 718, 485, 677, 528, 720, 468, 660)(432, 624, 474, 666, 538, 730, 566, 758, 539, 731, 475, 667)(433, 625, 476, 668, 532, 724, 470, 662, 531, 723, 477, 669)(435, 627, 480, 672, 536, 728, 472, 664, 535, 727, 481, 673)(441, 633, 491, 683, 521, 713, 516, 708, 541, 733, 492, 684)(445, 637, 497, 689, 527, 719, 518, 710, 555, 747, 498, 690)(454, 646, 510, 702, 556, 748, 501, 693, 540, 732, 511, 703)(458, 650, 514, 706, 525, 717, 505, 697, 544, 736, 515, 707)(465, 657, 523, 715, 489, 681, 548, 740, 509, 701, 524, 716)(469, 661, 529, 721, 495, 687, 550, 742, 563, 755, 530, 722)(478, 670, 542, 734, 564, 756, 533, 725, 508, 700, 543, 735)(482, 674, 546, 738, 493, 685, 537, 729, 512, 704, 547, 739)(487, 679, 551, 743, 513, 705, 554, 746, 567, 759, 552, 744)(519, 711, 559, 751, 545, 737, 562, 754, 571, 763, 560, 752)(553, 745, 568, 760, 557, 749, 570, 762, 575, 767, 569, 761)(561, 753, 572, 764, 565, 757, 574, 766, 576, 768, 573, 765)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 419)(19, 420)(20, 422)(21, 394)(22, 426)(23, 428)(24, 396)(25, 432)(26, 433)(27, 435)(28, 398)(29, 399)(30, 441)(31, 400)(32, 445)(33, 446)(34, 448)(35, 402)(36, 403)(37, 454)(38, 404)(39, 458)(40, 459)(41, 461)(42, 406)(43, 465)(44, 407)(45, 469)(46, 470)(47, 472)(48, 409)(49, 410)(50, 478)(51, 411)(52, 482)(53, 483)(54, 485)(55, 487)(56, 489)(57, 414)(58, 474)(59, 493)(60, 495)(61, 416)(62, 417)(63, 501)(64, 418)(65, 505)(66, 466)(67, 479)(68, 508)(69, 509)(70, 421)(71, 475)(72, 512)(73, 513)(74, 423)(75, 424)(76, 516)(77, 425)(78, 518)(79, 519)(80, 521)(81, 427)(82, 450)(83, 525)(84, 527)(85, 429)(86, 430)(87, 533)(88, 431)(89, 537)(90, 442)(91, 455)(92, 540)(93, 541)(94, 434)(95, 451)(96, 544)(97, 545)(98, 436)(99, 437)(100, 548)(101, 438)(102, 550)(103, 439)(104, 526)(105, 440)(106, 553)(107, 547)(108, 530)(109, 443)(110, 520)(111, 444)(112, 532)(113, 554)(114, 524)(115, 535)(116, 528)(117, 447)(118, 538)(119, 531)(120, 557)(121, 449)(122, 534)(123, 549)(124, 452)(125, 453)(126, 546)(127, 552)(128, 456)(129, 457)(130, 542)(131, 523)(132, 460)(133, 539)(134, 462)(135, 463)(136, 494)(137, 464)(138, 561)(139, 515)(140, 498)(141, 467)(142, 488)(143, 468)(144, 500)(145, 562)(146, 492)(147, 503)(148, 496)(149, 471)(150, 506)(151, 499)(152, 565)(153, 473)(154, 502)(155, 517)(156, 476)(157, 477)(158, 514)(159, 560)(160, 480)(161, 481)(162, 510)(163, 491)(164, 484)(165, 507)(166, 486)(167, 559)(168, 511)(169, 490)(170, 497)(171, 570)(172, 569)(173, 504)(174, 566)(175, 551)(176, 543)(177, 522)(178, 529)(179, 574)(180, 573)(181, 536)(182, 558)(183, 572)(184, 571)(185, 556)(186, 555)(187, 568)(188, 567)(189, 564)(190, 563)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2942
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 4^96, 12^32 ]

E21.2940 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^6, (Y2^3 * Y1^-1)^2, Y2^8, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1 * Y2^-2, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^3 * Y2^-2 * Y1, Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 55, 247, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 49, 241, 20, 212, 7, 199)(8, 200, 21, 213, 50, 242, 94, 286, 42, 234, 17, 209)(10, 202, 25, 217, 60, 252, 86, 278, 65, 257, 27, 219)(12, 204, 30, 222, 70, 262, 135, 327, 76, 268, 32, 224)(15, 207, 37, 229, 84, 276, 89, 281, 82, 274, 35, 227)(18, 210, 43, 235, 95, 287, 151, 343, 87, 279, 39, 231)(19, 211, 45, 237, 100, 292, 77, 269, 105, 297, 47, 239)(22, 214, 53, 245, 115, 307, 71, 263, 113, 305, 51, 243)(24, 216, 58, 250, 96, 288, 44, 236, 98, 290, 56, 248)(26, 218, 62, 254, 127, 319, 180, 372, 116, 308, 54, 246)(28, 220, 66, 258, 131, 323, 150, 342, 134, 326, 68, 260)(31, 223, 72, 264, 92, 284, 41, 233, 90, 282, 74, 266)(33, 225, 40, 232, 88, 280, 152, 344, 142, 334, 78, 270)(36, 228, 83, 275, 147, 339, 153, 345, 144, 336, 79, 271)(38, 230, 73, 265, 139, 331, 172, 364, 148, 340, 85, 277)(46, 238, 102, 294, 169, 361, 143, 335, 166, 358, 99, 291)(48, 240, 106, 298, 171, 363, 141, 333, 174, 366, 108, 300)(52, 244, 114, 306, 179, 371, 137, 329, 176, 368, 110, 302)(57, 249, 119, 311, 162, 354, 97, 289, 165, 357, 117, 309)(59, 251, 123, 315, 168, 360, 132, 324, 181, 373, 121, 313)(61, 253, 104, 296, 170, 362, 120, 312, 155, 347, 125, 317)(63, 255, 103, 295, 157, 349, 186, 378, 182, 374, 124, 316)(64, 256, 129, 321, 167, 359, 101, 293, 158, 350, 130, 322)(67, 259, 112, 304, 177, 369, 118, 310, 160, 352, 133, 325)(69, 261, 109, 301, 80, 272, 111, 303, 163, 355, 136, 328)(75, 267, 140, 332, 161, 353, 93, 285, 159, 351, 128, 320)(81, 273, 145, 337, 173, 365, 107, 299, 164, 356, 122, 314)(91, 283, 156, 348, 187, 379, 175, 367, 146, 338, 154, 346)(126, 318, 183, 375, 188, 380, 178, 370, 138, 330, 149, 341)(184, 376, 189, 381, 192, 384, 191, 383, 185, 377, 190, 382)(385, 577, 387, 579, 394, 586, 410, 602, 447, 639, 422, 614, 399, 591, 389, 581)(386, 578, 391, 583, 403, 595, 430, 622, 487, 679, 438, 630, 406, 598, 392, 584)(388, 580, 396, 588, 415, 607, 457, 649, 508, 700, 443, 635, 408, 600, 393, 585)(390, 582, 401, 593, 425, 617, 475, 667, 541, 733, 483, 675, 428, 620, 402, 594)(395, 587, 412, 604, 451, 643, 421, 613, 469, 661, 498, 690, 445, 637, 409, 601)(397, 589, 417, 609, 461, 653, 507, 699, 566, 758, 522, 714, 455, 647, 414, 606)(398, 590, 419, 611, 465, 657, 512, 704, 446, 638, 411, 603, 448, 640, 420, 612)(400, 592, 423, 615, 470, 662, 533, 725, 570, 762, 538, 730, 473, 665, 424, 616)(404, 596, 432, 624, 491, 683, 437, 629, 500, 692, 549, 741, 485, 677, 429, 621)(405, 597, 435, 627, 496, 688, 452, 644, 486, 678, 431, 623, 488, 680, 436, 628)(407, 599, 440, 632, 502, 694, 555, 747, 523, 715, 458, 650, 504, 696, 441, 633)(413, 605, 453, 645, 519, 711, 563, 755, 532, 724, 569, 761, 516, 708, 450, 642)(416, 608, 459, 651, 506, 698, 442, 634, 505, 697, 467, 659, 514, 706, 456, 648)(418, 610, 463, 655, 527, 719, 568, 760, 511, 703, 543, 735, 478, 670, 464, 656)(426, 618, 477, 669, 544, 736, 482, 674, 550, 742, 528, 720, 539, 731, 474, 666)(427, 619, 480, 672, 548, 740, 492, 684, 540, 732, 476, 668, 542, 734, 481, 673)(433, 625, 493, 685, 439, 631, 501, 693, 564, 756, 574, 766, 556, 748, 490, 682)(434, 626, 494, 686, 559, 751, 573, 765, 553, 745, 518, 710, 535, 727, 495, 687)(444, 636, 509, 701, 537, 729, 472, 664, 468, 660, 517, 709, 545, 737, 510, 702)(449, 641, 471, 663, 534, 726, 529, 721, 466, 658, 530, 722, 560, 752, 513, 705)(454, 646, 499, 691, 557, 749, 515, 707, 552, 744, 484, 676, 551, 743, 521, 713)(460, 652, 520, 712, 536, 728, 531, 723, 565, 757, 575, 767, 567, 759, 524, 716)(462, 654, 525, 717, 561, 753, 497, 689, 562, 754, 503, 695, 554, 746, 489, 681)(479, 671, 546, 738, 572, 764, 576, 768, 571, 763, 558, 750, 526, 718, 547, 739)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 415)(13, 417)(14, 419)(15, 389)(16, 423)(17, 425)(18, 390)(19, 430)(20, 432)(21, 435)(22, 392)(23, 440)(24, 393)(25, 395)(26, 447)(27, 448)(28, 451)(29, 453)(30, 397)(31, 457)(32, 459)(33, 461)(34, 463)(35, 465)(36, 398)(37, 469)(38, 399)(39, 470)(40, 400)(41, 475)(42, 477)(43, 480)(44, 402)(45, 404)(46, 487)(47, 488)(48, 491)(49, 493)(50, 494)(51, 496)(52, 405)(53, 500)(54, 406)(55, 501)(56, 502)(57, 407)(58, 505)(59, 408)(60, 509)(61, 409)(62, 411)(63, 422)(64, 420)(65, 471)(66, 413)(67, 421)(68, 486)(69, 519)(70, 499)(71, 414)(72, 416)(73, 508)(74, 504)(75, 506)(76, 520)(77, 507)(78, 525)(79, 527)(80, 418)(81, 512)(82, 530)(83, 514)(84, 517)(85, 498)(86, 533)(87, 534)(88, 468)(89, 424)(90, 426)(91, 541)(92, 542)(93, 544)(94, 464)(95, 546)(96, 548)(97, 427)(98, 550)(99, 428)(100, 551)(101, 429)(102, 431)(103, 438)(104, 436)(105, 462)(106, 433)(107, 437)(108, 540)(109, 439)(110, 559)(111, 434)(112, 452)(113, 562)(114, 445)(115, 557)(116, 549)(117, 564)(118, 555)(119, 554)(120, 441)(121, 467)(122, 442)(123, 566)(124, 443)(125, 537)(126, 444)(127, 543)(128, 446)(129, 449)(130, 456)(131, 552)(132, 450)(133, 545)(134, 535)(135, 563)(136, 536)(137, 454)(138, 455)(139, 458)(140, 460)(141, 561)(142, 547)(143, 568)(144, 539)(145, 466)(146, 560)(147, 565)(148, 569)(149, 570)(150, 529)(151, 495)(152, 531)(153, 472)(154, 473)(155, 474)(156, 476)(157, 483)(158, 481)(159, 478)(160, 482)(161, 510)(162, 572)(163, 479)(164, 492)(165, 485)(166, 528)(167, 521)(168, 484)(169, 518)(170, 489)(171, 523)(172, 490)(173, 515)(174, 526)(175, 573)(176, 513)(177, 497)(178, 503)(179, 532)(180, 574)(181, 575)(182, 522)(183, 524)(184, 511)(185, 516)(186, 538)(187, 558)(188, 576)(189, 553)(190, 556)(191, 567)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 E21.2941
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 12^32, 16^24 ]

E21.2941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3^-3 * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3, (Y3^-1 * Y2)^6, (Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 415, 607)(400, 592, 417, 609)(402, 594, 421, 613)(403, 595, 423, 615)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 430, 622)(408, 600, 432, 624)(410, 602, 436, 628)(411, 603, 438, 630)(412, 604, 440, 632)(414, 606, 444, 636)(416, 608, 447, 639)(418, 610, 451, 643)(419, 611, 453, 645)(420, 612, 455, 647)(422, 614, 437, 629)(424, 616, 461, 653)(426, 618, 464, 656)(427, 619, 465, 657)(428, 620, 466, 658)(431, 623, 469, 661)(433, 625, 473, 665)(434, 626, 475, 667)(435, 627, 477, 669)(439, 631, 483, 675)(441, 633, 486, 678)(442, 634, 487, 679)(443, 635, 488, 680)(445, 637, 485, 677)(446, 638, 490, 682)(448, 640, 494, 686)(449, 641, 495, 687)(450, 642, 497, 689)(452, 644, 501, 693)(454, 646, 478, 670)(456, 648, 476, 668)(457, 649, 506, 698)(458, 650, 507, 699)(459, 651, 508, 700)(460, 652, 510, 702)(462, 654, 512, 704)(463, 655, 467, 659)(468, 660, 520, 712)(470, 662, 524, 716)(471, 663, 525, 717)(472, 664, 527, 719)(474, 666, 531, 723)(479, 671, 536, 728)(480, 672, 537, 729)(481, 673, 538, 730)(482, 674, 540, 732)(484, 676, 542, 734)(489, 681, 532, 724)(491, 683, 545, 737)(492, 684, 550, 742)(493, 685, 530, 722)(496, 688, 546, 738)(498, 690, 533, 725)(499, 691, 551, 743)(500, 692, 523, 715)(502, 694, 519, 711)(503, 695, 528, 720)(504, 696, 541, 733)(505, 697, 543, 735)(509, 701, 547, 739)(511, 703, 534, 726)(513, 705, 535, 727)(514, 706, 548, 740)(515, 707, 521, 713)(516, 708, 526, 718)(517, 709, 539, 731)(518, 710, 544, 736)(522, 714, 558, 750)(529, 721, 559, 751)(549, 741, 564, 756)(552, 744, 565, 757)(553, 745, 567, 759)(554, 746, 568, 760)(555, 747, 566, 758)(556, 748, 557, 749)(560, 752, 569, 761)(561, 753, 571, 763)(562, 754, 572, 764)(563, 755, 570, 762)(573, 765, 575, 767)(574, 766, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 416)(16, 391)(17, 419)(18, 422)(19, 424)(20, 393)(21, 427)(22, 394)(23, 431)(24, 395)(25, 434)(26, 437)(27, 439)(28, 397)(29, 442)(30, 398)(31, 445)(32, 448)(33, 449)(34, 400)(35, 454)(36, 401)(37, 457)(38, 406)(39, 459)(40, 458)(41, 462)(42, 404)(43, 456)(44, 405)(45, 452)(46, 467)(47, 470)(48, 471)(49, 408)(50, 476)(51, 409)(52, 479)(53, 414)(54, 481)(55, 480)(56, 484)(57, 412)(58, 478)(59, 413)(60, 474)(61, 489)(62, 415)(63, 492)(64, 429)(65, 496)(66, 417)(67, 499)(68, 418)(69, 502)(70, 428)(71, 504)(72, 420)(73, 426)(74, 421)(75, 509)(76, 423)(77, 500)(78, 513)(79, 425)(80, 493)(81, 515)(82, 517)(83, 519)(84, 430)(85, 522)(86, 444)(87, 526)(88, 432)(89, 529)(90, 433)(91, 532)(92, 443)(93, 534)(94, 435)(95, 441)(96, 436)(97, 539)(98, 438)(99, 530)(100, 543)(101, 440)(102, 523)(103, 545)(104, 547)(105, 527)(106, 524)(107, 446)(108, 461)(109, 447)(110, 540)(111, 536)(112, 520)(113, 531)(114, 450)(115, 464)(116, 451)(117, 549)(118, 552)(119, 453)(120, 554)(121, 455)(122, 542)(123, 538)(124, 544)(125, 525)(126, 528)(127, 460)(128, 541)(129, 556)(130, 463)(131, 553)(132, 465)(133, 555)(134, 466)(135, 497)(136, 494)(137, 468)(138, 483)(139, 469)(140, 510)(141, 506)(142, 490)(143, 501)(144, 472)(145, 486)(146, 473)(147, 557)(148, 560)(149, 475)(150, 562)(151, 477)(152, 512)(153, 508)(154, 514)(155, 495)(156, 498)(157, 482)(158, 511)(159, 564)(160, 485)(161, 561)(162, 487)(163, 563)(164, 488)(165, 491)(166, 565)(167, 567)(168, 516)(169, 503)(170, 518)(171, 505)(172, 507)(173, 521)(174, 569)(175, 571)(176, 546)(177, 533)(178, 548)(179, 535)(180, 537)(181, 573)(182, 550)(183, 574)(184, 551)(185, 575)(186, 558)(187, 576)(188, 559)(189, 568)(190, 566)(191, 572)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2940
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.2942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y1^-1 * Y3 * Y1^-3)^2, Y1^-2 * Y3 * Y1^4 * Y3 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2, (Y3 * Y1^-1)^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 46, 238, 38, 230, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 45, 237, 60, 252, 30, 222, 14, 206)(9, 201, 19, 211, 39, 231, 48, 240, 24, 216, 47, 239, 42, 234, 20, 212)(12, 204, 25, 217, 49, 241, 44, 236, 21, 213, 43, 235, 52, 244, 26, 218)(16, 208, 33, 225, 64, 256, 109, 301, 74, 266, 116, 308, 67, 259, 34, 226)(17, 209, 35, 227, 68, 260, 106, 298, 61, 253, 105, 297, 71, 263, 36, 228)(28, 220, 55, 247, 94, 286, 151, 343, 104, 296, 157, 349, 97, 289, 56, 248)(29, 221, 57, 249, 98, 290, 148, 340, 91, 283, 147, 339, 101, 293, 58, 250)(32, 224, 62, 254, 90, 282, 73, 265, 37, 229, 72, 264, 85, 277, 63, 255)(40, 232, 76, 268, 124, 316, 136, 328, 83, 275, 135, 327, 127, 319, 77, 269)(41, 233, 78, 270, 128, 320, 138, 330, 84, 276, 137, 329, 130, 322, 79, 271)(50, 242, 86, 278, 139, 331, 132, 324, 81, 273, 131, 323, 142, 334, 87, 279)(51, 243, 88, 280, 143, 335, 134, 326, 82, 274, 133, 325, 146, 338, 89, 281)(54, 246, 92, 284, 75, 267, 103, 295, 59, 251, 102, 294, 80, 272, 93, 285)(65, 257, 111, 303, 140, 332, 100, 292, 161, 353, 173, 365, 169, 361, 112, 304)(66, 258, 113, 305, 155, 347, 96, 288, 154, 346, 126, 318, 141, 333, 114, 306)(69, 261, 118, 310, 160, 352, 99, 291, 159, 351, 129, 321, 144, 336, 119, 311)(70, 262, 120, 312, 145, 337, 177, 369, 165, 357, 125, 317, 153, 345, 95, 287)(107, 299, 152, 344, 179, 371, 158, 350, 122, 314, 156, 348, 180, 372, 162, 354)(108, 300, 166, 358, 181, 373, 172, 364, 123, 315, 171, 363, 182, 374, 167, 359)(110, 302, 168, 360, 117, 309, 150, 342, 115, 307, 170, 362, 121, 313, 164, 356)(149, 341, 174, 366, 185, 377, 176, 368, 163, 355, 175, 367, 186, 378, 178, 370)(183, 375, 187, 379, 191, 383, 189, 381, 184, 376, 188, 380, 192, 384, 190, 382)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 421)(19, 424)(20, 425)(21, 394)(22, 429)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 443)(31, 445)(32, 399)(33, 449)(34, 450)(35, 453)(36, 454)(37, 402)(38, 458)(39, 459)(40, 403)(41, 404)(42, 464)(43, 465)(44, 466)(45, 406)(46, 407)(47, 467)(48, 468)(49, 469)(50, 409)(51, 410)(52, 474)(53, 475)(54, 411)(55, 479)(56, 480)(57, 483)(58, 484)(59, 414)(60, 488)(61, 415)(62, 491)(63, 492)(64, 494)(65, 417)(66, 418)(67, 499)(68, 501)(69, 419)(70, 420)(71, 505)(72, 506)(73, 507)(74, 422)(75, 423)(76, 509)(77, 510)(78, 513)(79, 495)(80, 426)(81, 427)(82, 428)(83, 431)(84, 432)(85, 433)(86, 524)(87, 525)(88, 528)(89, 529)(90, 436)(91, 437)(92, 533)(93, 534)(94, 536)(95, 439)(96, 440)(97, 540)(98, 542)(99, 441)(100, 442)(101, 546)(102, 547)(103, 548)(104, 444)(105, 543)(106, 549)(107, 446)(108, 447)(109, 538)(110, 448)(111, 463)(112, 532)(113, 520)(114, 535)(115, 451)(116, 545)(117, 452)(118, 521)(119, 531)(120, 519)(121, 455)(122, 456)(123, 457)(124, 555)(125, 460)(126, 461)(127, 550)(128, 551)(129, 462)(130, 556)(131, 553)(132, 539)(133, 544)(134, 537)(135, 504)(136, 497)(137, 502)(138, 557)(139, 558)(140, 470)(141, 471)(142, 559)(143, 560)(144, 472)(145, 473)(146, 562)(147, 503)(148, 496)(149, 476)(150, 477)(151, 498)(152, 478)(153, 518)(154, 493)(155, 516)(156, 481)(157, 561)(158, 482)(159, 489)(160, 517)(161, 500)(162, 485)(163, 486)(164, 487)(165, 490)(166, 511)(167, 512)(168, 567)(169, 515)(170, 568)(171, 508)(172, 514)(173, 522)(174, 523)(175, 526)(176, 527)(177, 541)(178, 530)(179, 571)(180, 572)(181, 573)(182, 574)(183, 552)(184, 554)(185, 575)(186, 576)(187, 563)(188, 564)(189, 565)(190, 566)(191, 569)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2939
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.2943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1 * R)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1, (Y3 * Y2^-1)^6, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 31, 223)(16, 208, 33, 225)(18, 210, 37, 229)(19, 211, 39, 231)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(24, 216, 48, 240)(26, 218, 52, 244)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 60, 252)(32, 224, 63, 255)(34, 226, 67, 259)(35, 227, 69, 261)(36, 228, 71, 263)(38, 230, 53, 245)(40, 232, 77, 269)(42, 234, 80, 272)(43, 235, 81, 273)(44, 236, 82, 274)(47, 239, 85, 277)(49, 241, 89, 281)(50, 242, 91, 283)(51, 243, 93, 285)(55, 247, 99, 291)(57, 249, 102, 294)(58, 250, 103, 295)(59, 251, 104, 296)(61, 253, 101, 293)(62, 254, 106, 298)(64, 256, 110, 302)(65, 257, 111, 303)(66, 258, 113, 305)(68, 260, 117, 309)(70, 262, 94, 286)(72, 264, 92, 284)(73, 265, 122, 314)(74, 266, 123, 315)(75, 267, 124, 316)(76, 268, 126, 318)(78, 270, 128, 320)(79, 271, 83, 275)(84, 276, 136, 328)(86, 278, 140, 332)(87, 279, 141, 333)(88, 280, 143, 335)(90, 282, 147, 339)(95, 287, 152, 344)(96, 288, 153, 345)(97, 289, 154, 346)(98, 290, 156, 348)(100, 292, 158, 350)(105, 297, 148, 340)(107, 299, 161, 353)(108, 300, 166, 358)(109, 301, 146, 338)(112, 304, 162, 354)(114, 306, 149, 341)(115, 307, 167, 359)(116, 308, 139, 331)(118, 310, 135, 327)(119, 311, 144, 336)(120, 312, 157, 349)(121, 313, 159, 351)(125, 317, 163, 355)(127, 319, 150, 342)(129, 321, 151, 343)(130, 322, 164, 356)(131, 323, 137, 329)(132, 324, 142, 334)(133, 325, 155, 347)(134, 326, 160, 352)(138, 330, 174, 366)(145, 337, 175, 367)(165, 357, 180, 372)(168, 360, 181, 373)(169, 361, 183, 375)(170, 362, 184, 376)(171, 363, 182, 374)(172, 364, 173, 365)(176, 368, 185, 377)(177, 369, 187, 379)(178, 370, 188, 380)(179, 371, 186, 378)(189, 381, 191, 383)(190, 382, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 422, 614, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 437, 629, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 416, 608, 448, 640, 429, 621, 452, 644, 418, 610, 400, 592)(393, 585, 403, 595, 424, 616, 458, 650, 421, 613, 457, 649, 426, 618, 404, 596)(395, 587, 407, 599, 431, 623, 470, 662, 444, 636, 474, 666, 433, 625, 408, 600)(397, 589, 411, 603, 439, 631, 480, 672, 436, 628, 479, 671, 441, 633, 412, 604)(401, 593, 419, 611, 454, 646, 428, 620, 405, 597, 427, 619, 456, 648, 420, 612)(409, 601, 434, 626, 476, 668, 443, 635, 413, 605, 442, 634, 478, 670, 435, 627)(415, 607, 445, 637, 489, 681, 527, 719, 501, 693, 549, 741, 491, 683, 446, 638)(417, 609, 449, 641, 496, 688, 520, 712, 494, 686, 540, 732, 498, 690, 450, 642)(423, 615, 459, 651, 509, 701, 525, 717, 506, 698, 542, 734, 511, 703, 460, 652)(425, 617, 462, 654, 513, 705, 556, 748, 507, 699, 538, 730, 514, 706, 463, 655)(430, 622, 467, 659, 519, 711, 497, 689, 531, 723, 557, 749, 521, 713, 468, 660)(432, 624, 471, 663, 526, 718, 490, 682, 524, 716, 510, 702, 528, 720, 472, 664)(438, 630, 481, 673, 539, 731, 495, 687, 536, 728, 512, 704, 541, 733, 482, 674)(440, 632, 484, 676, 543, 735, 564, 756, 537, 729, 508, 700, 544, 736, 485, 677)(447, 639, 492, 684, 461, 653, 500, 692, 451, 643, 499, 691, 464, 656, 493, 685)(453, 645, 502, 694, 552, 744, 516, 708, 465, 657, 515, 707, 553, 745, 503, 695)(455, 647, 504, 696, 554, 746, 518, 710, 466, 658, 517, 709, 555, 747, 505, 697)(469, 661, 522, 714, 483, 675, 530, 722, 473, 665, 529, 721, 486, 678, 523, 715)(475, 667, 532, 724, 560, 752, 546, 738, 487, 679, 545, 737, 561, 753, 533, 725)(477, 669, 534, 726, 562, 754, 548, 740, 488, 680, 547, 739, 563, 755, 535, 727)(550, 742, 565, 757, 573, 765, 568, 760, 551, 743, 567, 759, 574, 766, 566, 758)(558, 750, 569, 761, 575, 767, 572, 764, 559, 751, 571, 763, 576, 768, 570, 762)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 415)(16, 417)(17, 392)(18, 421)(19, 423)(20, 425)(21, 394)(22, 429)(23, 430)(24, 432)(25, 396)(26, 436)(27, 438)(28, 440)(29, 398)(30, 444)(31, 399)(32, 447)(33, 400)(34, 451)(35, 453)(36, 455)(37, 402)(38, 437)(39, 403)(40, 461)(41, 404)(42, 464)(43, 465)(44, 466)(45, 406)(46, 407)(47, 469)(48, 408)(49, 473)(50, 475)(51, 477)(52, 410)(53, 422)(54, 411)(55, 483)(56, 412)(57, 486)(58, 487)(59, 488)(60, 414)(61, 485)(62, 490)(63, 416)(64, 494)(65, 495)(66, 497)(67, 418)(68, 501)(69, 419)(70, 478)(71, 420)(72, 476)(73, 506)(74, 507)(75, 508)(76, 510)(77, 424)(78, 512)(79, 467)(80, 426)(81, 427)(82, 428)(83, 463)(84, 520)(85, 431)(86, 524)(87, 525)(88, 527)(89, 433)(90, 531)(91, 434)(92, 456)(93, 435)(94, 454)(95, 536)(96, 537)(97, 538)(98, 540)(99, 439)(100, 542)(101, 445)(102, 441)(103, 442)(104, 443)(105, 532)(106, 446)(107, 545)(108, 550)(109, 530)(110, 448)(111, 449)(112, 546)(113, 450)(114, 533)(115, 551)(116, 523)(117, 452)(118, 519)(119, 528)(120, 541)(121, 543)(122, 457)(123, 458)(124, 459)(125, 547)(126, 460)(127, 534)(128, 462)(129, 535)(130, 548)(131, 521)(132, 526)(133, 539)(134, 544)(135, 502)(136, 468)(137, 515)(138, 558)(139, 500)(140, 470)(141, 471)(142, 516)(143, 472)(144, 503)(145, 559)(146, 493)(147, 474)(148, 489)(149, 498)(150, 511)(151, 513)(152, 479)(153, 480)(154, 481)(155, 517)(156, 482)(157, 504)(158, 484)(159, 505)(160, 518)(161, 491)(162, 496)(163, 509)(164, 514)(165, 564)(166, 492)(167, 499)(168, 565)(169, 567)(170, 568)(171, 566)(172, 557)(173, 556)(174, 522)(175, 529)(176, 569)(177, 571)(178, 572)(179, 570)(180, 549)(181, 552)(182, 555)(183, 553)(184, 554)(185, 560)(186, 563)(187, 561)(188, 562)(189, 575)(190, 576)(191, 573)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 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 E21.2944
Graph:: bipartite
	v = 120 e = 384 f = 224
	degree seq :: [ 4^96, 16^24 ]

E21.2944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (C2 x C2 x SL(2,3)) : C2 (small group id <192, 980>)
Aut   = $<384, 17958>$ (small group id <384, 17958>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, Y1^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-1 * Y3^2)^2, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^3 * Y3^-2 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^3, Y3^-2 * Y1^2 * Y3^2 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1^2 * Y3 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 55, 247, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 49, 241, 20, 212, 7, 199)(8, 200, 21, 213, 50, 242, 94, 286, 42, 234, 17, 209)(10, 202, 25, 217, 60, 252, 86, 278, 65, 257, 27, 219)(12, 204, 30, 222, 70, 262, 135, 327, 76, 268, 32, 224)(15, 207, 37, 229, 84, 276, 89, 281, 82, 274, 35, 227)(18, 210, 43, 235, 95, 287, 151, 343, 87, 279, 39, 231)(19, 211, 45, 237, 100, 292, 77, 269, 105, 297, 47, 239)(22, 214, 53, 245, 115, 307, 71, 263, 113, 305, 51, 243)(24, 216, 58, 250, 96, 288, 44, 236, 98, 290, 56, 248)(26, 218, 62, 254, 127, 319, 180, 372, 116, 308, 54, 246)(28, 220, 66, 258, 131, 323, 150, 342, 134, 326, 68, 260)(31, 223, 72, 264, 92, 284, 41, 233, 90, 282, 74, 266)(33, 225, 40, 232, 88, 280, 152, 344, 142, 334, 78, 270)(36, 228, 83, 275, 147, 339, 153, 345, 144, 336, 79, 271)(38, 230, 73, 265, 139, 331, 172, 364, 148, 340, 85, 277)(46, 238, 102, 294, 169, 361, 143, 335, 166, 358, 99, 291)(48, 240, 106, 298, 171, 363, 141, 333, 174, 366, 108, 300)(52, 244, 114, 306, 179, 371, 137, 329, 176, 368, 110, 302)(57, 249, 119, 311, 162, 354, 97, 289, 165, 357, 117, 309)(59, 251, 123, 315, 168, 360, 132, 324, 181, 373, 121, 313)(61, 253, 104, 296, 170, 362, 120, 312, 155, 347, 125, 317)(63, 255, 103, 295, 157, 349, 186, 378, 182, 374, 124, 316)(64, 256, 129, 321, 167, 359, 101, 293, 158, 350, 130, 322)(67, 259, 112, 304, 177, 369, 118, 310, 160, 352, 133, 325)(69, 261, 109, 301, 80, 272, 111, 303, 163, 355, 136, 328)(75, 267, 140, 332, 161, 353, 93, 285, 159, 351, 128, 320)(81, 273, 145, 337, 173, 365, 107, 299, 164, 356, 122, 314)(91, 283, 156, 348, 187, 379, 175, 367, 146, 338, 154, 346)(126, 318, 183, 375, 188, 380, 178, 370, 138, 330, 149, 341)(184, 376, 189, 381, 192, 384, 191, 383, 185, 377, 190, 382)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 415)(13, 417)(14, 419)(15, 389)(16, 423)(17, 425)(18, 390)(19, 430)(20, 432)(21, 435)(22, 392)(23, 440)(24, 393)(25, 395)(26, 447)(27, 448)(28, 451)(29, 453)(30, 397)(31, 457)(32, 459)(33, 461)(34, 463)(35, 465)(36, 398)(37, 469)(38, 399)(39, 470)(40, 400)(41, 475)(42, 477)(43, 480)(44, 402)(45, 404)(46, 487)(47, 488)(48, 491)(49, 493)(50, 494)(51, 496)(52, 405)(53, 500)(54, 406)(55, 501)(56, 502)(57, 407)(58, 505)(59, 408)(60, 509)(61, 409)(62, 411)(63, 422)(64, 420)(65, 471)(66, 413)(67, 421)(68, 486)(69, 519)(70, 499)(71, 414)(72, 416)(73, 508)(74, 504)(75, 506)(76, 520)(77, 507)(78, 525)(79, 527)(80, 418)(81, 512)(82, 530)(83, 514)(84, 517)(85, 498)(86, 533)(87, 534)(88, 468)(89, 424)(90, 426)(91, 541)(92, 542)(93, 544)(94, 464)(95, 546)(96, 548)(97, 427)(98, 550)(99, 428)(100, 551)(101, 429)(102, 431)(103, 438)(104, 436)(105, 462)(106, 433)(107, 437)(108, 540)(109, 439)(110, 559)(111, 434)(112, 452)(113, 562)(114, 445)(115, 557)(116, 549)(117, 564)(118, 555)(119, 554)(120, 441)(121, 467)(122, 442)(123, 566)(124, 443)(125, 537)(126, 444)(127, 543)(128, 446)(129, 449)(130, 456)(131, 552)(132, 450)(133, 545)(134, 535)(135, 563)(136, 536)(137, 454)(138, 455)(139, 458)(140, 460)(141, 561)(142, 547)(143, 568)(144, 539)(145, 466)(146, 560)(147, 565)(148, 569)(149, 570)(150, 529)(151, 495)(152, 531)(153, 472)(154, 473)(155, 474)(156, 476)(157, 483)(158, 481)(159, 478)(160, 482)(161, 510)(162, 572)(163, 479)(164, 492)(165, 485)(166, 528)(167, 521)(168, 484)(169, 518)(170, 489)(171, 523)(172, 490)(173, 515)(174, 526)(175, 573)(176, 513)(177, 497)(178, 503)(179, 532)(180, 574)(181, 575)(182, 522)(183, 524)(184, 511)(185, 516)(186, 538)(187, 558)(188, 576)(189, 553)(190, 556)(191, 567)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2943
Graph:: simple bipartite
	v = 224 e = 384 f = 120
	degree seq :: [ 2^192, 12^32 ]

E21.2945 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-2 * T2 * T1^-1 * T2)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2, (T2 * T1)^6, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^3 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 98, 60, 30, 14)(9, 19, 39, 74, 122, 79, 42, 20)(12, 25, 49, 91, 141, 97, 52, 26)(16, 33, 65, 114, 158, 117, 68, 34)(17, 35, 69, 118, 143, 93, 50, 36)(21, 43, 80, 127, 163, 119, 82, 44)(24, 47, 87, 135, 174, 140, 90, 48)(28, 55, 41, 78, 126, 150, 103, 56)(29, 57, 104, 151, 176, 136, 88, 58)(32, 63, 92, 59, 107, 139, 113, 64)(37, 72, 96, 146, 124, 75, 100, 54)(40, 76, 125, 168, 179, 149, 99, 77)(45, 83, 129, 169, 187, 157, 112, 84)(46, 85, 131, 170, 190, 173, 134, 86)(51, 94, 73, 121, 164, 171, 132, 95)(62, 110, 81, 128, 133, 172, 147, 111)(66, 101, 71, 106, 145, 178, 160, 115)(67, 105, 142, 177, 191, 188, 155, 116)(70, 102, 144, 175, 192, 189, 159, 120)(89, 137, 108, 152, 123, 167, 130, 138)(109, 153, 180, 166, 182, 148, 181, 154)(156, 185, 161, 186, 162, 183, 165, 184)
	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, 73)(39, 75)(42, 63)(43, 81)(44, 65)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 101)(56, 102)(57, 105)(58, 106)(60, 108)(61, 109)(64, 112)(68, 91)(69, 119)(72, 87)(74, 123)(76, 115)(77, 120)(78, 116)(79, 104)(80, 113)(82, 100)(83, 130)(84, 125)(85, 132)(86, 133)(90, 139)(93, 142)(94, 144)(95, 145)(97, 147)(98, 148)(103, 135)(107, 131)(110, 155)(111, 156)(114, 159)(117, 161)(118, 162)(121, 165)(122, 166)(124, 134)(126, 157)(127, 164)(128, 160)(129, 146)(136, 175)(137, 177)(138, 178)(140, 179)(141, 180)(143, 170)(149, 183)(150, 184)(151, 185)(152, 186)(153, 187)(154, 174)(158, 173)(163, 181)(167, 189)(168, 188)(169, 176)(171, 191)(172, 192)(182, 190)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2946
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2946 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, T1^2 * T2 * T1^-3 * T2 * T1, (T2 * T1 * T2 * T1^-1)^3, (T1^-1 * T2)^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-2)^2 ]
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, 100, 75, 103, 73)(49, 67, 94, 71, 87, 74)(51, 76, 84, 69, 97, 77)(52, 78, 99, 70, 98, 79)(64, 90, 119, 93, 122, 91)(65, 85, 114, 89, 81, 92)(68, 95, 118, 88, 117, 96)(80, 108, 113, 83, 112, 109)(82, 110, 116, 86, 115, 111)(101, 131, 162, 134, 147, 132)(102, 128, 161, 130, 106, 133)(104, 135, 157, 124, 156, 136)(105, 137, 160, 127, 159, 138)(107, 139, 153, 129, 151, 120)(121, 148, 175, 150, 125, 152)(123, 154, 174, 145, 173, 155)(126, 158, 140, 149, 171, 143)(141, 146, 172, 144, 142, 170)(163, 180, 191, 186, 165, 179)(164, 187, 192, 185, 189, 177)(166, 182, 167, 181, 188, 183)(168, 176, 190, 184, 169, 178)
	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, 75)(53, 80)(54, 77)(55, 81)(56, 82)(57, 83)(58, 84)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(66, 93)(72, 101)(73, 102)(74, 104)(76, 105)(78, 106)(79, 107)(90, 120)(91, 121)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(103, 134)(108, 140)(109, 141)(110, 142)(111, 131)(112, 143)(113, 144)(114, 145)(115, 146)(116, 147)(117, 148)(118, 149)(119, 150)(122, 153)(132, 163)(133, 164)(135, 165)(136, 166)(137, 167)(138, 168)(139, 169)(151, 176)(152, 177)(154, 178)(155, 179)(156, 180)(157, 181)(158, 182)(159, 183)(160, 184)(161, 185)(162, 186)(170, 187)(171, 188)(172, 189)(173, 190)(174, 191)(175, 192)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2945
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2947 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, (T2^-2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^3, (T2^-1 * T1)^8, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
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, 70, 50, 72, 46)(31, 48, 74, 47, 73, 49)(35, 53, 77, 51, 76, 54)(36, 55, 79, 52, 78, 56)(37, 57, 84, 62, 86, 58)(39, 60, 88, 59, 87, 61)(43, 65, 91, 63, 90, 66)(44, 67, 93, 64, 92, 68)(69, 97, 127, 102, 129, 98)(71, 100, 130, 99, 81, 101)(75, 104, 133, 103, 132, 105)(80, 108, 137, 106, 136, 109)(82, 110, 139, 107, 138, 111)(83, 112, 143, 117, 145, 113)(85, 115, 146, 114, 95, 116)(89, 119, 149, 118, 148, 120)(94, 123, 153, 121, 152, 124)(96, 125, 155, 122, 154, 126)(128, 160, 183, 159, 134, 161)(131, 163, 185, 162, 184, 164)(135, 166, 140, 165, 186, 167)(141, 169, 187, 168, 142, 170)(144, 172, 188, 171, 150, 173)(147, 175, 190, 174, 189, 176)(151, 178, 156, 177, 191, 179)(157, 181, 192, 180, 158, 182)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 217)(211, 227)(212, 228)(214, 229)(215, 231)(218, 235)(219, 236)(222, 239)(224, 242)(225, 243)(226, 244)(230, 251)(232, 254)(233, 255)(234, 256)(237, 261)(238, 263)(240, 252)(241, 267)(245, 272)(246, 258)(247, 273)(248, 274)(249, 275)(250, 277)(253, 281)(257, 286)(259, 287)(260, 288)(262, 291)(264, 294)(265, 279)(266, 295)(268, 298)(269, 283)(270, 292)(271, 299)(276, 306)(278, 309)(280, 310)(282, 313)(284, 307)(285, 314)(289, 318)(290, 320)(293, 323)(296, 326)(297, 327)(300, 332)(301, 333)(302, 334)(303, 304)(305, 336)(308, 339)(311, 342)(312, 343)(315, 348)(316, 349)(317, 350)(319, 351)(321, 347)(322, 354)(324, 352)(325, 357)(328, 359)(329, 360)(330, 361)(331, 337)(335, 363)(338, 366)(340, 364)(341, 369)(344, 371)(345, 372)(346, 373)(353, 368)(355, 374)(356, 365)(358, 370)(362, 367)(375, 382)(376, 384)(377, 380)(378, 383)(379, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2951
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2948 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T1^2 * T2^-1)^2, T1^6, T1^-1 * T2 * T1^3 * T2^-1 * T1^-2, T2^8, T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 35, 15, 5)(2, 7, 19, 42, 81, 48, 22, 8)(4, 12, 30, 61, 95, 52, 24, 9)(6, 17, 38, 73, 119, 77, 40, 18)(11, 28, 59, 103, 147, 97, 54, 25)(13, 31, 63, 108, 154, 104, 60, 29)(14, 32, 64, 109, 156, 111, 66, 33)(16, 36, 70, 115, 160, 116, 71, 37)(20, 44, 84, 132, 170, 126, 79, 41)(21, 45, 85, 133, 177, 135, 87, 46)(23, 49, 91, 139, 181, 140, 92, 50)(27, 58, 86, 134, 179, 149, 99, 55)(34, 67, 112, 159, 162, 118, 74, 68)(39, 75, 121, 166, 187, 161, 117, 72)(43, 83, 51, 93, 141, 172, 128, 80)(47, 88, 136, 180, 145, 96, 53, 89)(57, 102, 124, 164, 189, 176, 151, 100)(62, 107, 65, 110, 158, 186, 155, 105)(69, 101, 152, 178, 192, 171, 127, 114)(76, 122, 167, 190, 168, 125, 78, 123)(82, 131, 113, 150, 184, 146, 174, 129)(90, 130, 175, 153, 183, 144, 106, 138)(94, 142, 182, 157, 185, 148, 98, 143)(120, 165, 137, 173, 191, 169, 188, 163)(193, 194, 198, 208, 205, 196)(195, 201, 215, 228, 210, 203)(197, 206, 223, 229, 212, 199)(200, 213, 204, 221, 231, 209)(202, 217, 245, 262, 242, 219)(207, 226, 236, 263, 257, 224)(211, 233, 270, 255, 225, 235)(214, 239, 267, 252, 278, 237)(216, 243, 220, 232, 268, 241)(218, 247, 290, 307, 288, 249)(222, 238, 266, 230, 264, 254)(227, 261, 302, 308, 305, 259)(234, 272, 319, 300, 317, 274)(240, 282, 326, 296, 329, 280)(244, 286, 314, 269, 316, 285)(246, 277, 250, 284, 313, 281)(248, 292, 342, 352, 340, 293)(251, 275, 258, 283, 315, 271)(253, 297, 312, 265, 310, 298)(256, 299, 309, 276, 260, 279)(273, 321, 365, 346, 363, 322)(287, 336, 356, 311, 355, 334)(289, 338, 358, 332, 370, 325)(291, 333, 294, 337, 359, 335)(295, 318, 361, 331, 303, 345)(301, 327, 368, 324, 353, 349)(304, 323, 360, 350, 306, 320)(328, 357, 347, 371, 330, 354)(339, 367, 384, 373, 383, 366)(341, 378, 382, 372, 351, 364)(343, 369, 344, 377, 379, 376)(348, 374, 380, 362, 381, 375)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2952
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2949 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, (T2 * T1)^6, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^3 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 66)(34, 67)(35, 70)(36, 71)(38, 73)(39, 75)(42, 63)(43, 81)(44, 65)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 101)(56, 102)(57, 105)(58, 106)(60, 108)(61, 109)(64, 112)(68, 91)(69, 119)(72, 87)(74, 123)(76, 115)(77, 120)(78, 116)(79, 104)(80, 113)(82, 100)(83, 130)(84, 125)(85, 132)(86, 133)(90, 139)(93, 142)(94, 144)(95, 145)(97, 147)(98, 148)(103, 135)(107, 131)(110, 155)(111, 156)(114, 159)(117, 161)(118, 162)(121, 165)(122, 166)(124, 134)(126, 157)(127, 164)(128, 160)(129, 146)(136, 175)(137, 177)(138, 178)(140, 179)(141, 180)(143, 170)(149, 183)(150, 184)(151, 185)(152, 186)(153, 187)(154, 174)(158, 173)(163, 181)(167, 189)(168, 188)(169, 176)(171, 191)(172, 192)(182, 190)(193, 194, 197, 203, 215, 214, 202, 196)(195, 199, 207, 223, 253, 230, 210, 200)(198, 205, 219, 245, 290, 252, 222, 206)(201, 211, 231, 266, 314, 271, 234, 212)(204, 217, 241, 283, 333, 289, 244, 218)(208, 225, 257, 306, 350, 309, 260, 226)(209, 227, 261, 310, 335, 285, 242, 228)(213, 235, 272, 319, 355, 311, 274, 236)(216, 239, 279, 327, 366, 332, 282, 240)(220, 247, 233, 270, 318, 342, 295, 248)(221, 249, 296, 343, 368, 328, 280, 250)(224, 255, 284, 251, 299, 331, 305, 256)(229, 264, 288, 338, 316, 267, 292, 246)(232, 268, 317, 360, 371, 341, 291, 269)(237, 275, 321, 361, 379, 349, 304, 276)(238, 277, 323, 362, 382, 365, 326, 278)(243, 286, 265, 313, 356, 363, 324, 287)(254, 302, 273, 320, 325, 364, 339, 303)(258, 293, 263, 298, 337, 370, 352, 307)(259, 297, 334, 369, 383, 380, 347, 308)(262, 294, 336, 367, 384, 381, 351, 312)(281, 329, 300, 344, 315, 359, 322, 330)(301, 345, 372, 358, 374, 340, 373, 346)(348, 377, 353, 378, 354, 375, 357, 376)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2950
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2950 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^6, (T2^-2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^3, (T2^-1 * T1)^8, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 21, 213, 32, 224, 16, 208)(9, 201, 19, 211, 34, 226, 17, 209, 33, 225, 20, 212)(11, 203, 22, 214, 38, 230, 28, 220, 40, 232, 23, 215)(13, 205, 26, 218, 42, 234, 24, 216, 41, 233, 27, 219)(29, 221, 45, 237, 70, 262, 50, 242, 72, 264, 46, 238)(31, 223, 48, 240, 74, 266, 47, 239, 73, 265, 49, 241)(35, 227, 53, 245, 77, 269, 51, 243, 76, 268, 54, 246)(36, 228, 55, 247, 79, 271, 52, 244, 78, 270, 56, 248)(37, 229, 57, 249, 84, 276, 62, 254, 86, 278, 58, 250)(39, 231, 60, 252, 88, 280, 59, 251, 87, 279, 61, 253)(43, 235, 65, 257, 91, 283, 63, 255, 90, 282, 66, 258)(44, 236, 67, 259, 93, 285, 64, 256, 92, 284, 68, 260)(69, 261, 97, 289, 127, 319, 102, 294, 129, 321, 98, 290)(71, 263, 100, 292, 130, 322, 99, 291, 81, 273, 101, 293)(75, 267, 104, 296, 133, 325, 103, 295, 132, 324, 105, 297)(80, 272, 108, 300, 137, 329, 106, 298, 136, 328, 109, 301)(82, 274, 110, 302, 139, 331, 107, 299, 138, 330, 111, 303)(83, 275, 112, 304, 143, 335, 117, 309, 145, 337, 113, 305)(85, 277, 115, 307, 146, 338, 114, 306, 95, 287, 116, 308)(89, 281, 119, 311, 149, 341, 118, 310, 148, 340, 120, 312)(94, 286, 123, 315, 153, 345, 121, 313, 152, 344, 124, 316)(96, 288, 125, 317, 155, 347, 122, 314, 154, 346, 126, 318)(128, 320, 160, 352, 183, 375, 159, 351, 134, 326, 161, 353)(131, 323, 163, 355, 185, 377, 162, 354, 184, 376, 164, 356)(135, 327, 166, 358, 140, 332, 165, 357, 186, 378, 167, 359)(141, 333, 169, 361, 187, 379, 168, 360, 142, 334, 170, 362)(144, 336, 172, 364, 188, 380, 171, 363, 150, 342, 173, 365)(147, 339, 175, 367, 190, 382, 174, 366, 189, 381, 176, 368)(151, 343, 178, 370, 156, 348, 177, 369, 191, 383, 179, 371)(157, 349, 181, 373, 192, 384, 180, 372, 158, 350, 182, 374)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 217)(19, 227)(20, 228)(21, 202)(22, 229)(23, 231)(24, 204)(25, 210)(26, 235)(27, 236)(28, 206)(29, 207)(30, 239)(31, 208)(32, 242)(33, 243)(34, 244)(35, 211)(36, 212)(37, 214)(38, 251)(39, 215)(40, 254)(41, 255)(42, 256)(43, 218)(44, 219)(45, 261)(46, 263)(47, 222)(48, 252)(49, 267)(50, 224)(51, 225)(52, 226)(53, 272)(54, 258)(55, 273)(56, 274)(57, 275)(58, 277)(59, 230)(60, 240)(61, 281)(62, 232)(63, 233)(64, 234)(65, 286)(66, 246)(67, 287)(68, 288)(69, 237)(70, 291)(71, 238)(72, 294)(73, 279)(74, 295)(75, 241)(76, 298)(77, 283)(78, 292)(79, 299)(80, 245)(81, 247)(82, 248)(83, 249)(84, 306)(85, 250)(86, 309)(87, 265)(88, 310)(89, 253)(90, 313)(91, 269)(92, 307)(93, 314)(94, 257)(95, 259)(96, 260)(97, 318)(98, 320)(99, 262)(100, 270)(101, 323)(102, 264)(103, 266)(104, 326)(105, 327)(106, 268)(107, 271)(108, 332)(109, 333)(110, 334)(111, 304)(112, 303)(113, 336)(114, 276)(115, 284)(116, 339)(117, 278)(118, 280)(119, 342)(120, 343)(121, 282)(122, 285)(123, 348)(124, 349)(125, 350)(126, 289)(127, 351)(128, 290)(129, 347)(130, 354)(131, 293)(132, 352)(133, 357)(134, 296)(135, 297)(136, 359)(137, 360)(138, 361)(139, 337)(140, 300)(141, 301)(142, 302)(143, 363)(144, 305)(145, 331)(146, 366)(147, 308)(148, 364)(149, 369)(150, 311)(151, 312)(152, 371)(153, 372)(154, 373)(155, 321)(156, 315)(157, 316)(158, 317)(159, 319)(160, 324)(161, 368)(162, 322)(163, 374)(164, 365)(165, 325)(166, 370)(167, 328)(168, 329)(169, 330)(170, 367)(171, 335)(172, 340)(173, 356)(174, 338)(175, 362)(176, 353)(177, 341)(178, 358)(179, 344)(180, 345)(181, 346)(182, 355)(183, 382)(184, 384)(185, 380)(186, 383)(187, 381)(188, 377)(189, 379)(190, 375)(191, 378)(192, 376)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2949
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 12^32 ]

E21.2951 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T1^2 * T2^-1)^2, T1^6, T1^-1 * T2 * T1^3 * T2^-1 * T1^-2, T2^8, T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 26, 218, 56, 248, 35, 227, 15, 207, 5, 197)(2, 194, 7, 199, 19, 211, 42, 234, 81, 273, 48, 240, 22, 214, 8, 200)(4, 196, 12, 204, 30, 222, 61, 253, 95, 287, 52, 244, 24, 216, 9, 201)(6, 198, 17, 209, 38, 230, 73, 265, 119, 311, 77, 269, 40, 232, 18, 210)(11, 203, 28, 220, 59, 251, 103, 295, 147, 339, 97, 289, 54, 246, 25, 217)(13, 205, 31, 223, 63, 255, 108, 300, 154, 346, 104, 296, 60, 252, 29, 221)(14, 206, 32, 224, 64, 256, 109, 301, 156, 348, 111, 303, 66, 258, 33, 225)(16, 208, 36, 228, 70, 262, 115, 307, 160, 352, 116, 308, 71, 263, 37, 229)(20, 212, 44, 236, 84, 276, 132, 324, 170, 362, 126, 318, 79, 271, 41, 233)(21, 213, 45, 237, 85, 277, 133, 325, 177, 369, 135, 327, 87, 279, 46, 238)(23, 215, 49, 241, 91, 283, 139, 331, 181, 373, 140, 332, 92, 284, 50, 242)(27, 219, 58, 250, 86, 278, 134, 326, 179, 371, 149, 341, 99, 291, 55, 247)(34, 226, 67, 259, 112, 304, 159, 351, 162, 354, 118, 310, 74, 266, 68, 260)(39, 231, 75, 267, 121, 313, 166, 358, 187, 379, 161, 353, 117, 309, 72, 264)(43, 235, 83, 275, 51, 243, 93, 285, 141, 333, 172, 364, 128, 320, 80, 272)(47, 239, 88, 280, 136, 328, 180, 372, 145, 337, 96, 288, 53, 245, 89, 281)(57, 249, 102, 294, 124, 316, 164, 356, 189, 381, 176, 368, 151, 343, 100, 292)(62, 254, 107, 299, 65, 257, 110, 302, 158, 350, 186, 378, 155, 347, 105, 297)(69, 261, 101, 293, 152, 344, 178, 370, 192, 384, 171, 363, 127, 319, 114, 306)(76, 268, 122, 314, 167, 359, 190, 382, 168, 360, 125, 317, 78, 270, 123, 315)(82, 274, 131, 323, 113, 305, 150, 342, 184, 376, 146, 338, 174, 366, 129, 321)(90, 282, 130, 322, 175, 367, 153, 345, 183, 375, 144, 336, 106, 298, 138, 330)(94, 286, 142, 334, 182, 374, 157, 349, 185, 377, 148, 340, 98, 290, 143, 335)(120, 312, 165, 357, 137, 329, 173, 365, 191, 383, 169, 361, 188, 380, 163, 355)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 206)(6, 208)(7, 197)(8, 213)(9, 215)(10, 217)(11, 195)(12, 221)(13, 196)(14, 223)(15, 226)(16, 205)(17, 200)(18, 203)(19, 233)(20, 199)(21, 204)(22, 239)(23, 228)(24, 243)(25, 245)(26, 247)(27, 202)(28, 232)(29, 231)(30, 238)(31, 229)(32, 207)(33, 235)(34, 236)(35, 261)(36, 210)(37, 212)(38, 264)(39, 209)(40, 268)(41, 270)(42, 272)(43, 211)(44, 263)(45, 214)(46, 266)(47, 267)(48, 282)(49, 216)(50, 219)(51, 220)(52, 286)(53, 262)(54, 277)(55, 290)(56, 292)(57, 218)(58, 284)(59, 275)(60, 278)(61, 297)(62, 222)(63, 225)(64, 299)(65, 224)(66, 283)(67, 227)(68, 279)(69, 302)(70, 242)(71, 257)(72, 254)(73, 310)(74, 230)(75, 252)(76, 241)(77, 316)(78, 255)(79, 251)(80, 319)(81, 321)(82, 234)(83, 258)(84, 260)(85, 250)(86, 237)(87, 256)(88, 240)(89, 246)(90, 326)(91, 315)(92, 313)(93, 244)(94, 314)(95, 336)(96, 249)(97, 338)(98, 307)(99, 333)(100, 342)(101, 248)(102, 337)(103, 318)(104, 329)(105, 312)(106, 253)(107, 309)(108, 317)(109, 327)(110, 308)(111, 345)(112, 323)(113, 259)(114, 320)(115, 288)(116, 305)(117, 276)(118, 298)(119, 355)(120, 265)(121, 281)(122, 269)(123, 271)(124, 285)(125, 274)(126, 361)(127, 300)(128, 304)(129, 365)(130, 273)(131, 360)(132, 353)(133, 289)(134, 296)(135, 368)(136, 357)(137, 280)(138, 354)(139, 303)(140, 370)(141, 294)(142, 287)(143, 291)(144, 356)(145, 359)(146, 358)(147, 367)(148, 293)(149, 378)(150, 352)(151, 369)(152, 377)(153, 295)(154, 363)(155, 371)(156, 374)(157, 301)(158, 306)(159, 364)(160, 340)(161, 349)(162, 328)(163, 334)(164, 311)(165, 347)(166, 332)(167, 335)(168, 350)(169, 331)(170, 381)(171, 322)(172, 341)(173, 346)(174, 339)(175, 384)(176, 324)(177, 344)(178, 325)(179, 330)(180, 351)(181, 383)(182, 380)(183, 348)(184, 343)(185, 379)(186, 382)(187, 376)(188, 362)(189, 375)(190, 372)(191, 366)(192, 373)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2947
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2952 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, (T2 * T1)^6, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^3 * T2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 37, 229)(19, 211, 40, 232)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 59, 251)(31, 223, 62, 254)(33, 225, 66, 258)(34, 226, 67, 259)(35, 227, 70, 262)(36, 228, 71, 263)(38, 230, 73, 265)(39, 231, 75, 267)(42, 234, 63, 255)(43, 235, 81, 273)(44, 236, 65, 257)(47, 239, 88, 280)(48, 240, 89, 281)(49, 241, 92, 284)(52, 244, 96, 288)(53, 245, 99, 291)(55, 247, 101, 293)(56, 248, 102, 294)(57, 249, 105, 297)(58, 250, 106, 298)(60, 252, 108, 300)(61, 253, 109, 301)(64, 256, 112, 304)(68, 260, 91, 283)(69, 261, 119, 311)(72, 264, 87, 279)(74, 266, 123, 315)(76, 268, 115, 307)(77, 269, 120, 312)(78, 270, 116, 308)(79, 271, 104, 296)(80, 272, 113, 305)(82, 274, 100, 292)(83, 275, 130, 322)(84, 276, 125, 317)(85, 277, 132, 324)(86, 278, 133, 325)(90, 282, 139, 331)(93, 285, 142, 334)(94, 286, 144, 336)(95, 287, 145, 337)(97, 289, 147, 339)(98, 290, 148, 340)(103, 295, 135, 327)(107, 299, 131, 323)(110, 302, 155, 347)(111, 303, 156, 348)(114, 306, 159, 351)(117, 309, 161, 353)(118, 310, 162, 354)(121, 313, 165, 357)(122, 314, 166, 358)(124, 316, 134, 326)(126, 318, 157, 349)(127, 319, 164, 356)(128, 320, 160, 352)(129, 321, 146, 338)(136, 328, 175, 367)(137, 329, 177, 369)(138, 330, 178, 370)(140, 332, 179, 371)(141, 333, 180, 372)(143, 335, 170, 362)(149, 341, 183, 375)(150, 342, 184, 376)(151, 343, 185, 377)(152, 344, 186, 378)(153, 345, 187, 379)(154, 346, 174, 366)(158, 350, 173, 365)(163, 355, 181, 373)(167, 359, 189, 381)(168, 360, 188, 380)(169, 361, 176, 368)(171, 363, 191, 383)(172, 364, 192, 384)(182, 374, 190, 382)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 231)(20, 201)(21, 235)(22, 202)(23, 214)(24, 239)(25, 241)(26, 204)(27, 245)(28, 247)(29, 249)(30, 206)(31, 253)(32, 255)(33, 257)(34, 208)(35, 261)(36, 209)(37, 264)(38, 210)(39, 266)(40, 268)(41, 270)(42, 212)(43, 272)(44, 213)(45, 275)(46, 277)(47, 279)(48, 216)(49, 283)(50, 228)(51, 286)(52, 218)(53, 290)(54, 229)(55, 233)(56, 220)(57, 296)(58, 221)(59, 299)(60, 222)(61, 230)(62, 302)(63, 284)(64, 224)(65, 306)(66, 293)(67, 297)(68, 226)(69, 310)(70, 294)(71, 298)(72, 288)(73, 313)(74, 314)(75, 292)(76, 317)(77, 232)(78, 318)(79, 234)(80, 319)(81, 320)(82, 236)(83, 321)(84, 237)(85, 323)(86, 238)(87, 327)(88, 250)(89, 329)(90, 240)(91, 333)(92, 251)(93, 242)(94, 265)(95, 243)(96, 338)(97, 244)(98, 252)(99, 269)(100, 246)(101, 263)(102, 336)(103, 248)(104, 343)(105, 334)(106, 337)(107, 331)(108, 344)(109, 345)(110, 273)(111, 254)(112, 276)(113, 256)(114, 350)(115, 258)(116, 259)(117, 260)(118, 335)(119, 274)(120, 262)(121, 356)(122, 271)(123, 359)(124, 267)(125, 360)(126, 342)(127, 355)(128, 325)(129, 361)(130, 330)(131, 362)(132, 287)(133, 364)(134, 278)(135, 366)(136, 280)(137, 300)(138, 281)(139, 305)(140, 282)(141, 289)(142, 369)(143, 285)(144, 367)(145, 370)(146, 316)(147, 303)(148, 373)(149, 291)(150, 295)(151, 368)(152, 315)(153, 372)(154, 301)(155, 308)(156, 377)(157, 304)(158, 309)(159, 312)(160, 307)(161, 378)(162, 375)(163, 311)(164, 363)(165, 376)(166, 374)(167, 322)(168, 371)(169, 379)(170, 382)(171, 324)(172, 339)(173, 326)(174, 332)(175, 384)(176, 328)(177, 383)(178, 352)(179, 341)(180, 358)(181, 346)(182, 340)(183, 357)(184, 348)(185, 353)(186, 354)(187, 349)(188, 347)(189, 351)(190, 365)(191, 380)(192, 381)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2948
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^2 * Y1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^8, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 25, 217)(19, 211, 35, 227)(20, 212, 36, 228)(22, 214, 37, 229)(23, 215, 39, 231)(26, 218, 43, 235)(27, 219, 44, 236)(30, 222, 47, 239)(32, 224, 50, 242)(33, 225, 51, 243)(34, 226, 52, 244)(38, 230, 59, 251)(40, 232, 62, 254)(41, 233, 63, 255)(42, 234, 64, 256)(45, 237, 69, 261)(46, 238, 71, 263)(48, 240, 60, 252)(49, 241, 75, 267)(53, 245, 80, 272)(54, 246, 66, 258)(55, 247, 81, 273)(56, 248, 82, 274)(57, 249, 83, 275)(58, 250, 85, 277)(61, 253, 89, 281)(65, 257, 94, 286)(67, 259, 95, 287)(68, 260, 96, 288)(70, 262, 99, 291)(72, 264, 102, 294)(73, 265, 87, 279)(74, 266, 103, 295)(76, 268, 106, 298)(77, 269, 91, 283)(78, 270, 100, 292)(79, 271, 107, 299)(84, 276, 114, 306)(86, 278, 117, 309)(88, 280, 118, 310)(90, 282, 121, 313)(92, 284, 115, 307)(93, 285, 122, 314)(97, 289, 126, 318)(98, 290, 128, 320)(101, 293, 131, 323)(104, 296, 134, 326)(105, 297, 135, 327)(108, 300, 140, 332)(109, 301, 141, 333)(110, 302, 142, 334)(111, 303, 112, 304)(113, 305, 144, 336)(116, 308, 147, 339)(119, 311, 150, 342)(120, 312, 151, 343)(123, 315, 156, 348)(124, 316, 157, 349)(125, 317, 158, 350)(127, 319, 159, 351)(129, 321, 155, 347)(130, 322, 162, 354)(132, 324, 160, 352)(133, 325, 165, 357)(136, 328, 167, 359)(137, 329, 168, 360)(138, 330, 169, 361)(139, 331, 145, 337)(143, 335, 171, 363)(146, 338, 174, 366)(148, 340, 172, 364)(149, 341, 177, 369)(152, 344, 179, 371)(153, 345, 180, 372)(154, 346, 181, 373)(161, 353, 176, 368)(163, 355, 182, 374)(164, 356, 173, 365)(166, 358, 178, 370)(170, 362, 175, 367)(183, 375, 190, 382)(184, 376, 192, 384)(185, 377, 188, 380)(186, 378, 191, 383)(187, 379, 189, 381)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 405, 597, 416, 608, 400, 592)(393, 585, 403, 595, 418, 610, 401, 593, 417, 609, 404, 596)(395, 587, 406, 598, 422, 614, 412, 604, 424, 616, 407, 599)(397, 589, 410, 602, 426, 618, 408, 600, 425, 617, 411, 603)(413, 605, 429, 621, 454, 646, 434, 626, 456, 648, 430, 622)(415, 607, 432, 624, 458, 650, 431, 623, 457, 649, 433, 625)(419, 611, 437, 629, 461, 653, 435, 627, 460, 652, 438, 630)(420, 612, 439, 631, 463, 655, 436, 628, 462, 654, 440, 632)(421, 613, 441, 633, 468, 660, 446, 638, 470, 662, 442, 634)(423, 615, 444, 636, 472, 664, 443, 635, 471, 663, 445, 637)(427, 619, 449, 641, 475, 667, 447, 639, 474, 666, 450, 642)(428, 620, 451, 643, 477, 669, 448, 640, 476, 668, 452, 644)(453, 645, 481, 673, 511, 703, 486, 678, 513, 705, 482, 674)(455, 647, 484, 676, 514, 706, 483, 675, 465, 657, 485, 677)(459, 651, 488, 680, 517, 709, 487, 679, 516, 708, 489, 681)(464, 656, 492, 684, 521, 713, 490, 682, 520, 712, 493, 685)(466, 658, 494, 686, 523, 715, 491, 683, 522, 714, 495, 687)(467, 659, 496, 688, 527, 719, 501, 693, 529, 721, 497, 689)(469, 661, 499, 691, 530, 722, 498, 690, 479, 671, 500, 692)(473, 665, 503, 695, 533, 725, 502, 694, 532, 724, 504, 696)(478, 670, 507, 699, 537, 729, 505, 697, 536, 728, 508, 700)(480, 672, 509, 701, 539, 731, 506, 698, 538, 730, 510, 702)(512, 704, 544, 736, 567, 759, 543, 735, 518, 710, 545, 737)(515, 707, 547, 739, 569, 761, 546, 738, 568, 760, 548, 740)(519, 711, 550, 742, 524, 716, 549, 741, 570, 762, 551, 743)(525, 717, 553, 745, 571, 763, 552, 744, 526, 718, 554, 746)(528, 720, 556, 748, 572, 764, 555, 747, 534, 726, 557, 749)(531, 723, 559, 751, 574, 766, 558, 750, 573, 765, 560, 752)(535, 727, 562, 754, 540, 732, 561, 753, 575, 767, 563, 755)(541, 733, 565, 757, 576, 768, 564, 756, 542, 734, 566, 758)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 409)(19, 419)(20, 420)(21, 394)(22, 421)(23, 423)(24, 396)(25, 402)(26, 427)(27, 428)(28, 398)(29, 399)(30, 431)(31, 400)(32, 434)(33, 435)(34, 436)(35, 403)(36, 404)(37, 406)(38, 443)(39, 407)(40, 446)(41, 447)(42, 448)(43, 410)(44, 411)(45, 453)(46, 455)(47, 414)(48, 444)(49, 459)(50, 416)(51, 417)(52, 418)(53, 464)(54, 450)(55, 465)(56, 466)(57, 467)(58, 469)(59, 422)(60, 432)(61, 473)(62, 424)(63, 425)(64, 426)(65, 478)(66, 438)(67, 479)(68, 480)(69, 429)(70, 483)(71, 430)(72, 486)(73, 471)(74, 487)(75, 433)(76, 490)(77, 475)(78, 484)(79, 491)(80, 437)(81, 439)(82, 440)(83, 441)(84, 498)(85, 442)(86, 501)(87, 457)(88, 502)(89, 445)(90, 505)(91, 461)(92, 499)(93, 506)(94, 449)(95, 451)(96, 452)(97, 510)(98, 512)(99, 454)(100, 462)(101, 515)(102, 456)(103, 458)(104, 518)(105, 519)(106, 460)(107, 463)(108, 524)(109, 525)(110, 526)(111, 496)(112, 495)(113, 528)(114, 468)(115, 476)(116, 531)(117, 470)(118, 472)(119, 534)(120, 535)(121, 474)(122, 477)(123, 540)(124, 541)(125, 542)(126, 481)(127, 543)(128, 482)(129, 539)(130, 546)(131, 485)(132, 544)(133, 549)(134, 488)(135, 489)(136, 551)(137, 552)(138, 553)(139, 529)(140, 492)(141, 493)(142, 494)(143, 555)(144, 497)(145, 523)(146, 558)(147, 500)(148, 556)(149, 561)(150, 503)(151, 504)(152, 563)(153, 564)(154, 565)(155, 513)(156, 507)(157, 508)(158, 509)(159, 511)(160, 516)(161, 560)(162, 514)(163, 566)(164, 557)(165, 517)(166, 562)(167, 520)(168, 521)(169, 522)(170, 559)(171, 527)(172, 532)(173, 548)(174, 530)(175, 554)(176, 545)(177, 533)(178, 550)(179, 536)(180, 537)(181, 538)(182, 547)(183, 574)(184, 576)(185, 572)(186, 575)(187, 573)(188, 569)(189, 571)(190, 567)(191, 570)(192, 568)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2956
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 4^96, 12^32 ]

E21.2954 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^2)^2, Y1^6, (Y2 * Y1^-2)^2, Y1^6, Y2^8, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2^-3 * Y1^3 * Y2^3 * Y1^-2 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 36, 228, 18, 210, 11, 203)(5, 197, 14, 206, 31, 223, 37, 229, 20, 212, 7, 199)(8, 200, 21, 213, 12, 204, 29, 221, 39, 231, 17, 209)(10, 202, 25, 217, 53, 245, 70, 262, 50, 242, 27, 219)(15, 207, 34, 226, 44, 236, 71, 263, 65, 257, 32, 224)(19, 211, 41, 233, 78, 270, 63, 255, 33, 225, 43, 235)(22, 214, 47, 239, 75, 267, 60, 252, 86, 278, 45, 237)(24, 216, 51, 243, 28, 220, 40, 232, 76, 268, 49, 241)(26, 218, 55, 247, 98, 290, 115, 307, 96, 288, 57, 249)(30, 222, 46, 238, 74, 266, 38, 230, 72, 264, 62, 254)(35, 227, 69, 261, 110, 302, 116, 308, 113, 305, 67, 259)(42, 234, 80, 272, 127, 319, 108, 300, 125, 317, 82, 274)(48, 240, 90, 282, 134, 326, 104, 296, 137, 329, 88, 280)(52, 244, 94, 286, 122, 314, 77, 269, 124, 316, 93, 285)(54, 246, 85, 277, 58, 250, 92, 284, 121, 313, 89, 281)(56, 248, 100, 292, 150, 342, 160, 352, 148, 340, 101, 293)(59, 251, 83, 275, 66, 258, 91, 283, 123, 315, 79, 271)(61, 253, 105, 297, 120, 312, 73, 265, 118, 310, 106, 298)(64, 256, 107, 299, 117, 309, 84, 276, 68, 260, 87, 279)(81, 273, 129, 321, 173, 365, 154, 346, 171, 363, 130, 322)(95, 287, 144, 336, 164, 356, 119, 311, 163, 355, 142, 334)(97, 289, 146, 338, 166, 358, 140, 332, 178, 370, 133, 325)(99, 291, 141, 333, 102, 294, 145, 337, 167, 359, 143, 335)(103, 295, 126, 318, 169, 361, 139, 331, 111, 303, 153, 345)(109, 301, 135, 327, 176, 368, 132, 324, 161, 353, 157, 349)(112, 304, 131, 323, 168, 360, 158, 350, 114, 306, 128, 320)(136, 328, 165, 357, 155, 347, 179, 371, 138, 330, 162, 354)(147, 339, 175, 367, 192, 384, 181, 373, 191, 383, 174, 366)(149, 341, 186, 378, 190, 382, 180, 372, 159, 351, 172, 364)(151, 343, 177, 369, 152, 344, 185, 377, 187, 379, 184, 376)(156, 348, 182, 374, 188, 380, 170, 362, 189, 381, 183, 375)(385, 577, 387, 579, 394, 586, 410, 602, 440, 632, 419, 611, 399, 591, 389, 581)(386, 578, 391, 583, 403, 595, 426, 618, 465, 657, 432, 624, 406, 598, 392, 584)(388, 580, 396, 588, 414, 606, 445, 637, 479, 671, 436, 628, 408, 600, 393, 585)(390, 582, 401, 593, 422, 614, 457, 649, 503, 695, 461, 653, 424, 616, 402, 594)(395, 587, 412, 604, 443, 635, 487, 679, 531, 723, 481, 673, 438, 630, 409, 601)(397, 589, 415, 607, 447, 639, 492, 684, 538, 730, 488, 680, 444, 636, 413, 605)(398, 590, 416, 608, 448, 640, 493, 685, 540, 732, 495, 687, 450, 642, 417, 609)(400, 592, 420, 612, 454, 646, 499, 691, 544, 736, 500, 692, 455, 647, 421, 613)(404, 596, 428, 620, 468, 660, 516, 708, 554, 746, 510, 702, 463, 655, 425, 617)(405, 597, 429, 621, 469, 661, 517, 709, 561, 753, 519, 711, 471, 663, 430, 622)(407, 599, 433, 625, 475, 667, 523, 715, 565, 757, 524, 716, 476, 668, 434, 626)(411, 603, 442, 634, 470, 662, 518, 710, 563, 755, 533, 725, 483, 675, 439, 631)(418, 610, 451, 643, 496, 688, 543, 735, 546, 738, 502, 694, 458, 650, 452, 644)(423, 615, 459, 651, 505, 697, 550, 742, 571, 763, 545, 737, 501, 693, 456, 648)(427, 619, 467, 659, 435, 627, 477, 669, 525, 717, 556, 748, 512, 704, 464, 656)(431, 623, 472, 664, 520, 712, 564, 756, 529, 721, 480, 672, 437, 629, 473, 665)(441, 633, 486, 678, 508, 700, 548, 740, 573, 765, 560, 752, 535, 727, 484, 676)(446, 638, 491, 683, 449, 641, 494, 686, 542, 734, 570, 762, 539, 731, 489, 681)(453, 645, 485, 677, 536, 728, 562, 754, 576, 768, 555, 747, 511, 703, 498, 690)(460, 652, 506, 698, 551, 743, 574, 766, 552, 744, 509, 701, 462, 654, 507, 699)(466, 658, 515, 707, 497, 689, 534, 726, 568, 760, 530, 722, 558, 750, 513, 705)(474, 666, 514, 706, 559, 751, 537, 729, 567, 759, 528, 720, 490, 682, 522, 714)(478, 670, 526, 718, 566, 758, 541, 733, 569, 761, 532, 724, 482, 674, 527, 719)(504, 696, 549, 741, 521, 713, 557, 749, 575, 767, 553, 745, 572, 764, 547, 739)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 414)(13, 415)(14, 416)(15, 389)(16, 420)(17, 422)(18, 390)(19, 426)(20, 428)(21, 429)(22, 392)(23, 433)(24, 393)(25, 395)(26, 440)(27, 442)(28, 443)(29, 397)(30, 445)(31, 447)(32, 448)(33, 398)(34, 451)(35, 399)(36, 454)(37, 400)(38, 457)(39, 459)(40, 402)(41, 404)(42, 465)(43, 467)(44, 468)(45, 469)(46, 405)(47, 472)(48, 406)(49, 475)(50, 407)(51, 477)(52, 408)(53, 473)(54, 409)(55, 411)(56, 419)(57, 486)(58, 470)(59, 487)(60, 413)(61, 479)(62, 491)(63, 492)(64, 493)(65, 494)(66, 417)(67, 496)(68, 418)(69, 485)(70, 499)(71, 421)(72, 423)(73, 503)(74, 452)(75, 505)(76, 506)(77, 424)(78, 507)(79, 425)(80, 427)(81, 432)(82, 515)(83, 435)(84, 516)(85, 517)(86, 518)(87, 430)(88, 520)(89, 431)(90, 514)(91, 523)(92, 434)(93, 525)(94, 526)(95, 436)(96, 437)(97, 438)(98, 527)(99, 439)(100, 441)(101, 536)(102, 508)(103, 531)(104, 444)(105, 446)(106, 522)(107, 449)(108, 538)(109, 540)(110, 542)(111, 450)(112, 543)(113, 534)(114, 453)(115, 544)(116, 455)(117, 456)(118, 458)(119, 461)(120, 549)(121, 550)(122, 551)(123, 460)(124, 548)(125, 462)(126, 463)(127, 498)(128, 464)(129, 466)(130, 559)(131, 497)(132, 554)(133, 561)(134, 563)(135, 471)(136, 564)(137, 557)(138, 474)(139, 565)(140, 476)(141, 556)(142, 566)(143, 478)(144, 490)(145, 480)(146, 558)(147, 481)(148, 482)(149, 483)(150, 568)(151, 484)(152, 562)(153, 567)(154, 488)(155, 489)(156, 495)(157, 569)(158, 570)(159, 546)(160, 500)(161, 501)(162, 502)(163, 504)(164, 573)(165, 521)(166, 571)(167, 574)(168, 509)(169, 572)(170, 510)(171, 511)(172, 512)(173, 575)(174, 513)(175, 537)(176, 535)(177, 519)(178, 576)(179, 533)(180, 529)(181, 524)(182, 541)(183, 528)(184, 530)(185, 532)(186, 539)(187, 545)(188, 547)(189, 560)(190, 552)(191, 553)(192, 555)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 E21.2955
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 12^32, 16^24 ]

E21.2955 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y2 * Y3 * Y2 * Y3^2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-3 * Y2 * Y3^-1, Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2, (Y3^-1 * Y2)^6, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 415, 607)(400, 592, 417, 609)(402, 594, 421, 613)(403, 595, 423, 615)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 430, 622)(408, 600, 432, 624)(410, 602, 436, 628)(411, 603, 438, 630)(412, 604, 440, 632)(414, 606, 444, 636)(416, 608, 443, 635)(418, 610, 450, 642)(419, 611, 441, 633)(420, 612, 453, 645)(422, 614, 457, 649)(424, 616, 460, 652)(426, 618, 434, 626)(427, 619, 464, 656)(428, 620, 431, 623)(433, 625, 474, 666)(435, 627, 477, 669)(437, 629, 481, 673)(439, 631, 484, 676)(442, 634, 488, 680)(445, 637, 469, 661)(446, 638, 482, 674)(447, 639, 494, 686)(448, 640, 472, 664)(449, 641, 486, 678)(451, 643, 499, 691)(452, 644, 476, 668)(454, 646, 489, 681)(455, 647, 497, 689)(456, 648, 502, 694)(458, 650, 470, 662)(459, 651, 483, 675)(461, 653, 508, 700)(462, 654, 473, 665)(463, 655, 496, 688)(465, 657, 478, 670)(466, 658, 490, 682)(467, 659, 513, 705)(468, 660, 506, 698)(471, 663, 516, 708)(475, 667, 521, 713)(479, 671, 519, 711)(480, 672, 524, 716)(485, 677, 530, 722)(487, 679, 518, 710)(491, 683, 535, 727)(492, 684, 528, 720)(493, 685, 533, 725)(495, 687, 539, 731)(498, 690, 542, 734)(500, 692, 532, 724)(501, 693, 525, 717)(503, 695, 523, 715)(504, 696, 545, 737)(505, 697, 548, 740)(507, 699, 549, 741)(509, 701, 552, 744)(510, 702, 522, 714)(511, 703, 515, 707)(512, 704, 536, 728)(514, 706, 534, 726)(517, 709, 556, 748)(520, 712, 559, 751)(526, 718, 562, 754)(527, 719, 565, 757)(529, 721, 566, 758)(531, 723, 569, 761)(537, 729, 563, 755)(538, 730, 568, 760)(540, 732, 561, 753)(541, 733, 567, 759)(543, 735, 560, 752)(544, 736, 557, 749)(546, 738, 554, 746)(547, 739, 571, 763)(550, 742, 558, 750)(551, 743, 555, 747)(553, 745, 573, 765)(564, 756, 574, 766)(570, 762, 576, 768)(572, 764, 575, 767)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 416)(16, 391)(17, 419)(18, 422)(19, 424)(20, 393)(21, 427)(22, 394)(23, 431)(24, 395)(25, 434)(26, 437)(27, 439)(28, 397)(29, 442)(30, 398)(31, 445)(32, 447)(33, 448)(34, 400)(35, 452)(36, 401)(37, 455)(38, 406)(39, 458)(40, 461)(41, 462)(42, 404)(43, 465)(44, 405)(45, 467)(46, 469)(47, 471)(48, 472)(49, 408)(50, 476)(51, 409)(52, 479)(53, 414)(54, 482)(55, 485)(56, 486)(57, 412)(58, 489)(59, 413)(60, 491)(61, 425)(62, 415)(63, 495)(64, 496)(65, 417)(66, 498)(67, 418)(68, 474)(69, 492)(70, 420)(71, 488)(72, 421)(73, 504)(74, 506)(75, 423)(76, 490)(77, 509)(78, 510)(79, 426)(80, 511)(81, 512)(82, 428)(83, 514)(84, 429)(85, 440)(86, 430)(87, 517)(88, 518)(89, 432)(90, 520)(91, 433)(92, 450)(93, 468)(94, 435)(95, 464)(96, 436)(97, 526)(98, 528)(99, 438)(100, 466)(101, 531)(102, 532)(103, 441)(104, 533)(105, 534)(106, 443)(107, 536)(108, 444)(109, 446)(110, 459)(111, 451)(112, 540)(113, 449)(114, 523)(115, 543)(116, 453)(117, 454)(118, 544)(119, 456)(120, 542)(121, 457)(122, 550)(123, 460)(124, 551)(125, 463)(126, 537)(127, 548)(128, 529)(129, 546)(130, 553)(131, 470)(132, 483)(133, 475)(134, 557)(135, 473)(136, 501)(137, 560)(138, 477)(139, 478)(140, 561)(141, 480)(142, 559)(143, 481)(144, 567)(145, 484)(146, 568)(147, 487)(148, 554)(149, 565)(150, 507)(151, 563)(152, 570)(153, 493)(154, 494)(155, 566)(156, 573)(157, 497)(158, 569)(159, 508)(160, 499)(161, 500)(162, 502)(163, 503)(164, 564)(165, 505)(166, 571)(167, 513)(168, 572)(169, 562)(170, 515)(171, 516)(172, 549)(173, 576)(174, 519)(175, 552)(176, 530)(177, 521)(178, 522)(179, 524)(180, 525)(181, 547)(182, 527)(183, 574)(184, 535)(185, 575)(186, 545)(187, 538)(188, 539)(189, 541)(190, 555)(191, 556)(192, 558)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2954
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.2956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-2, (Y3 * Y1)^6, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1)^2 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 61, 253, 38, 230, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 98, 290, 60, 252, 30, 222, 14, 206)(9, 201, 19, 211, 39, 231, 74, 266, 122, 314, 79, 271, 42, 234, 20, 212)(12, 204, 25, 217, 49, 241, 91, 283, 141, 333, 97, 289, 52, 244, 26, 218)(16, 208, 33, 225, 65, 257, 114, 306, 158, 350, 117, 309, 68, 260, 34, 226)(17, 209, 35, 227, 69, 261, 118, 310, 143, 335, 93, 285, 50, 242, 36, 228)(21, 213, 43, 235, 80, 272, 127, 319, 163, 355, 119, 311, 82, 274, 44, 236)(24, 216, 47, 239, 87, 279, 135, 327, 174, 366, 140, 332, 90, 282, 48, 240)(28, 220, 55, 247, 41, 233, 78, 270, 126, 318, 150, 342, 103, 295, 56, 248)(29, 221, 57, 249, 104, 296, 151, 343, 176, 368, 136, 328, 88, 280, 58, 250)(32, 224, 63, 255, 92, 284, 59, 251, 107, 299, 139, 331, 113, 305, 64, 256)(37, 229, 72, 264, 96, 288, 146, 338, 124, 316, 75, 267, 100, 292, 54, 246)(40, 232, 76, 268, 125, 317, 168, 360, 179, 371, 149, 341, 99, 291, 77, 269)(45, 237, 83, 275, 129, 321, 169, 361, 187, 379, 157, 349, 112, 304, 84, 276)(46, 238, 85, 277, 131, 323, 170, 362, 190, 382, 173, 365, 134, 326, 86, 278)(51, 243, 94, 286, 73, 265, 121, 313, 164, 356, 171, 363, 132, 324, 95, 287)(62, 254, 110, 302, 81, 273, 128, 320, 133, 325, 172, 364, 147, 339, 111, 303)(66, 258, 101, 293, 71, 263, 106, 298, 145, 337, 178, 370, 160, 352, 115, 307)(67, 259, 105, 297, 142, 334, 177, 369, 191, 383, 188, 380, 155, 347, 116, 308)(70, 262, 102, 294, 144, 336, 175, 367, 192, 384, 189, 381, 159, 351, 120, 312)(89, 281, 137, 329, 108, 300, 152, 344, 123, 315, 167, 359, 130, 322, 138, 330)(109, 301, 153, 345, 180, 372, 166, 358, 182, 374, 148, 340, 181, 373, 154, 346)(156, 348, 185, 377, 161, 353, 186, 378, 162, 354, 183, 375, 165, 357, 184, 376)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 421)(19, 424)(20, 425)(21, 394)(22, 429)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 443)(31, 446)(32, 399)(33, 450)(34, 451)(35, 454)(36, 455)(37, 402)(38, 457)(39, 459)(40, 403)(41, 404)(42, 447)(43, 465)(44, 449)(45, 406)(46, 407)(47, 472)(48, 473)(49, 476)(50, 409)(51, 410)(52, 480)(53, 483)(54, 411)(55, 485)(56, 486)(57, 489)(58, 490)(59, 414)(60, 492)(61, 493)(62, 415)(63, 426)(64, 496)(65, 428)(66, 417)(67, 418)(68, 475)(69, 503)(70, 419)(71, 420)(72, 471)(73, 422)(74, 507)(75, 423)(76, 499)(77, 504)(78, 500)(79, 488)(80, 497)(81, 427)(82, 484)(83, 514)(84, 509)(85, 516)(86, 517)(87, 456)(88, 431)(89, 432)(90, 523)(91, 452)(92, 433)(93, 526)(94, 528)(95, 529)(96, 436)(97, 531)(98, 532)(99, 437)(100, 466)(101, 439)(102, 440)(103, 519)(104, 463)(105, 441)(106, 442)(107, 515)(108, 444)(109, 445)(110, 539)(111, 540)(112, 448)(113, 464)(114, 543)(115, 460)(116, 462)(117, 545)(118, 546)(119, 453)(120, 461)(121, 549)(122, 550)(123, 458)(124, 518)(125, 468)(126, 541)(127, 548)(128, 544)(129, 530)(130, 467)(131, 491)(132, 469)(133, 470)(134, 508)(135, 487)(136, 559)(137, 561)(138, 562)(139, 474)(140, 563)(141, 564)(142, 477)(143, 554)(144, 478)(145, 479)(146, 513)(147, 481)(148, 482)(149, 567)(150, 568)(151, 569)(152, 570)(153, 571)(154, 558)(155, 494)(156, 495)(157, 510)(158, 557)(159, 498)(160, 512)(161, 501)(162, 502)(163, 565)(164, 511)(165, 505)(166, 506)(167, 573)(168, 572)(169, 560)(170, 527)(171, 575)(172, 576)(173, 542)(174, 538)(175, 520)(176, 553)(177, 521)(178, 522)(179, 524)(180, 525)(181, 547)(182, 574)(183, 533)(184, 534)(185, 535)(186, 536)(187, 537)(188, 552)(189, 551)(190, 566)(191, 555)(192, 556)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2953
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.2957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1 * R)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y1 * Y2 * Y1 * Y2^2)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-1, (Y2^-1 * Y1)^6, (Y2 * Y1 * Y2^-1 * Y1)^3, (Y3 * Y2^-1)^6, Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 31, 223)(16, 208, 33, 225)(18, 210, 37, 229)(19, 211, 39, 231)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(24, 216, 48, 240)(26, 218, 52, 244)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 60, 252)(32, 224, 59, 251)(34, 226, 66, 258)(35, 227, 57, 249)(36, 228, 69, 261)(38, 230, 73, 265)(40, 232, 76, 268)(42, 234, 50, 242)(43, 235, 80, 272)(44, 236, 47, 239)(49, 241, 90, 282)(51, 243, 93, 285)(53, 245, 97, 289)(55, 247, 100, 292)(58, 250, 104, 296)(61, 253, 85, 277)(62, 254, 98, 290)(63, 255, 110, 302)(64, 256, 88, 280)(65, 257, 102, 294)(67, 259, 115, 307)(68, 260, 92, 284)(70, 262, 105, 297)(71, 263, 113, 305)(72, 264, 118, 310)(74, 266, 86, 278)(75, 267, 99, 291)(77, 269, 124, 316)(78, 270, 89, 281)(79, 271, 112, 304)(81, 273, 94, 286)(82, 274, 106, 298)(83, 275, 129, 321)(84, 276, 122, 314)(87, 279, 132, 324)(91, 283, 137, 329)(95, 287, 135, 327)(96, 288, 140, 332)(101, 293, 146, 338)(103, 295, 134, 326)(107, 299, 151, 343)(108, 300, 144, 336)(109, 301, 149, 341)(111, 303, 155, 347)(114, 306, 158, 350)(116, 308, 148, 340)(117, 309, 141, 333)(119, 311, 139, 331)(120, 312, 161, 353)(121, 313, 164, 356)(123, 315, 165, 357)(125, 317, 168, 360)(126, 318, 138, 330)(127, 319, 131, 323)(128, 320, 152, 344)(130, 322, 150, 342)(133, 325, 172, 364)(136, 328, 175, 367)(142, 334, 178, 370)(143, 335, 181, 373)(145, 337, 182, 374)(147, 339, 185, 377)(153, 345, 179, 371)(154, 346, 184, 376)(156, 348, 177, 369)(157, 349, 183, 375)(159, 351, 176, 368)(160, 352, 173, 365)(162, 354, 170, 362)(163, 355, 187, 379)(166, 358, 174, 366)(167, 359, 171, 363)(169, 361, 189, 381)(180, 372, 190, 382)(186, 378, 192, 384)(188, 380, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 422, 614, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 437, 629, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 416, 608, 447, 639, 495, 687, 451, 643, 418, 610, 400, 592)(393, 585, 403, 595, 424, 616, 461, 653, 509, 701, 463, 655, 426, 618, 404, 596)(395, 587, 407, 599, 431, 623, 471, 663, 517, 709, 475, 667, 433, 625, 408, 600)(397, 589, 411, 603, 439, 631, 485, 677, 531, 723, 487, 679, 441, 633, 412, 604)(401, 593, 419, 611, 452, 644, 474, 666, 520, 712, 501, 693, 454, 646, 420, 612)(405, 597, 427, 619, 465, 657, 512, 704, 529, 721, 484, 676, 466, 658, 428, 620)(409, 601, 434, 626, 476, 668, 450, 642, 498, 690, 523, 715, 478, 670, 435, 627)(413, 605, 442, 634, 489, 681, 534, 726, 507, 699, 460, 652, 490, 682, 443, 635)(415, 607, 445, 637, 425, 617, 462, 654, 510, 702, 537, 729, 493, 685, 446, 638)(417, 609, 448, 640, 496, 688, 540, 732, 573, 765, 541, 733, 497, 689, 449, 641)(421, 613, 455, 647, 488, 680, 533, 725, 565, 757, 547, 739, 503, 695, 456, 648)(423, 615, 458, 650, 506, 698, 550, 742, 571, 763, 538, 730, 494, 686, 459, 651)(429, 621, 467, 659, 514, 706, 553, 745, 562, 754, 522, 714, 477, 669, 468, 660)(430, 622, 469, 661, 440, 632, 486, 678, 532, 724, 554, 746, 515, 707, 470, 662)(432, 624, 472, 664, 518, 710, 557, 749, 576, 768, 558, 750, 519, 711, 473, 665)(436, 628, 479, 671, 464, 656, 511, 703, 548, 740, 564, 756, 525, 717, 480, 672)(438, 630, 482, 674, 528, 720, 567, 759, 574, 766, 555, 747, 516, 708, 483, 675)(444, 636, 491, 683, 536, 728, 570, 762, 545, 737, 500, 692, 453, 645, 492, 684)(457, 649, 504, 696, 542, 734, 569, 761, 575, 767, 556, 748, 549, 741, 505, 697)(481, 673, 526, 718, 559, 751, 552, 744, 572, 764, 539, 731, 566, 758, 527, 719)(499, 691, 543, 735, 508, 700, 551, 743, 513, 705, 546, 738, 502, 694, 544, 736)(521, 713, 560, 752, 530, 722, 568, 760, 535, 727, 563, 755, 524, 716, 561, 753)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 415)(16, 417)(17, 392)(18, 421)(19, 423)(20, 425)(21, 394)(22, 429)(23, 430)(24, 432)(25, 396)(26, 436)(27, 438)(28, 440)(29, 398)(30, 444)(31, 399)(32, 443)(33, 400)(34, 450)(35, 441)(36, 453)(37, 402)(38, 457)(39, 403)(40, 460)(41, 404)(42, 434)(43, 464)(44, 431)(45, 406)(46, 407)(47, 428)(48, 408)(49, 474)(50, 426)(51, 477)(52, 410)(53, 481)(54, 411)(55, 484)(56, 412)(57, 419)(58, 488)(59, 416)(60, 414)(61, 469)(62, 482)(63, 494)(64, 472)(65, 486)(66, 418)(67, 499)(68, 476)(69, 420)(70, 489)(71, 497)(72, 502)(73, 422)(74, 470)(75, 483)(76, 424)(77, 508)(78, 473)(79, 496)(80, 427)(81, 478)(82, 490)(83, 513)(84, 506)(85, 445)(86, 458)(87, 516)(88, 448)(89, 462)(90, 433)(91, 521)(92, 452)(93, 435)(94, 465)(95, 519)(96, 524)(97, 437)(98, 446)(99, 459)(100, 439)(101, 530)(102, 449)(103, 518)(104, 442)(105, 454)(106, 466)(107, 535)(108, 528)(109, 533)(110, 447)(111, 539)(112, 463)(113, 455)(114, 542)(115, 451)(116, 532)(117, 525)(118, 456)(119, 523)(120, 545)(121, 548)(122, 468)(123, 549)(124, 461)(125, 552)(126, 522)(127, 515)(128, 536)(129, 467)(130, 534)(131, 511)(132, 471)(133, 556)(134, 487)(135, 479)(136, 559)(137, 475)(138, 510)(139, 503)(140, 480)(141, 501)(142, 562)(143, 565)(144, 492)(145, 566)(146, 485)(147, 569)(148, 500)(149, 493)(150, 514)(151, 491)(152, 512)(153, 563)(154, 568)(155, 495)(156, 561)(157, 567)(158, 498)(159, 560)(160, 557)(161, 504)(162, 554)(163, 571)(164, 505)(165, 507)(166, 558)(167, 555)(168, 509)(169, 573)(170, 546)(171, 551)(172, 517)(173, 544)(174, 550)(175, 520)(176, 543)(177, 540)(178, 526)(179, 537)(180, 574)(181, 527)(182, 529)(183, 541)(184, 538)(185, 531)(186, 576)(187, 547)(188, 575)(189, 553)(190, 564)(191, 572)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 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 E21.2958
Graph:: bipartite
	v = 120 e = 384 f = 224
	degree seq :: [ 4^96, 16^24 ]

E21.2958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^2)^2, Y1^6, Y1^6, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^2)^2, Y3^-6 * Y1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, Y1^-1 * Y3^-3 * Y1^3 * Y3^-5 * Y1^-2, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 36, 228, 18, 210, 11, 203)(5, 197, 14, 206, 31, 223, 37, 229, 20, 212, 7, 199)(8, 200, 21, 213, 12, 204, 29, 221, 39, 231, 17, 209)(10, 202, 25, 217, 53, 245, 70, 262, 50, 242, 27, 219)(15, 207, 34, 226, 44, 236, 71, 263, 65, 257, 32, 224)(19, 211, 41, 233, 78, 270, 63, 255, 33, 225, 43, 235)(22, 214, 47, 239, 75, 267, 60, 252, 86, 278, 45, 237)(24, 216, 51, 243, 28, 220, 40, 232, 76, 268, 49, 241)(26, 218, 55, 247, 98, 290, 115, 307, 96, 288, 57, 249)(30, 222, 46, 238, 74, 266, 38, 230, 72, 264, 62, 254)(35, 227, 69, 261, 110, 302, 116, 308, 113, 305, 67, 259)(42, 234, 80, 272, 127, 319, 108, 300, 125, 317, 82, 274)(48, 240, 90, 282, 134, 326, 104, 296, 137, 329, 88, 280)(52, 244, 94, 286, 122, 314, 77, 269, 124, 316, 93, 285)(54, 246, 85, 277, 58, 250, 92, 284, 121, 313, 89, 281)(56, 248, 100, 292, 150, 342, 160, 352, 148, 340, 101, 293)(59, 251, 83, 275, 66, 258, 91, 283, 123, 315, 79, 271)(61, 253, 105, 297, 120, 312, 73, 265, 118, 310, 106, 298)(64, 256, 107, 299, 117, 309, 84, 276, 68, 260, 87, 279)(81, 273, 129, 321, 173, 365, 154, 346, 171, 363, 130, 322)(95, 287, 144, 336, 164, 356, 119, 311, 163, 355, 142, 334)(97, 289, 146, 338, 166, 358, 140, 332, 178, 370, 133, 325)(99, 291, 141, 333, 102, 294, 145, 337, 167, 359, 143, 335)(103, 295, 126, 318, 169, 361, 139, 331, 111, 303, 153, 345)(109, 301, 135, 327, 176, 368, 132, 324, 161, 353, 157, 349)(112, 304, 131, 323, 168, 360, 158, 350, 114, 306, 128, 320)(136, 328, 165, 357, 155, 347, 179, 371, 138, 330, 162, 354)(147, 339, 175, 367, 192, 384, 181, 373, 191, 383, 174, 366)(149, 341, 186, 378, 190, 382, 180, 372, 159, 351, 172, 364)(151, 343, 177, 369, 152, 344, 185, 377, 187, 379, 184, 376)(156, 348, 182, 374, 188, 380, 170, 362, 189, 381, 183, 375)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 414)(13, 415)(14, 416)(15, 389)(16, 420)(17, 422)(18, 390)(19, 426)(20, 428)(21, 429)(22, 392)(23, 433)(24, 393)(25, 395)(26, 440)(27, 442)(28, 443)(29, 397)(30, 445)(31, 447)(32, 448)(33, 398)(34, 451)(35, 399)(36, 454)(37, 400)(38, 457)(39, 459)(40, 402)(41, 404)(42, 465)(43, 467)(44, 468)(45, 469)(46, 405)(47, 472)(48, 406)(49, 475)(50, 407)(51, 477)(52, 408)(53, 473)(54, 409)(55, 411)(56, 419)(57, 486)(58, 470)(59, 487)(60, 413)(61, 479)(62, 491)(63, 492)(64, 493)(65, 494)(66, 417)(67, 496)(68, 418)(69, 485)(70, 499)(71, 421)(72, 423)(73, 503)(74, 452)(75, 505)(76, 506)(77, 424)(78, 507)(79, 425)(80, 427)(81, 432)(82, 515)(83, 435)(84, 516)(85, 517)(86, 518)(87, 430)(88, 520)(89, 431)(90, 514)(91, 523)(92, 434)(93, 525)(94, 526)(95, 436)(96, 437)(97, 438)(98, 527)(99, 439)(100, 441)(101, 536)(102, 508)(103, 531)(104, 444)(105, 446)(106, 522)(107, 449)(108, 538)(109, 540)(110, 542)(111, 450)(112, 543)(113, 534)(114, 453)(115, 544)(116, 455)(117, 456)(118, 458)(119, 461)(120, 549)(121, 550)(122, 551)(123, 460)(124, 548)(125, 462)(126, 463)(127, 498)(128, 464)(129, 466)(130, 559)(131, 497)(132, 554)(133, 561)(134, 563)(135, 471)(136, 564)(137, 557)(138, 474)(139, 565)(140, 476)(141, 556)(142, 566)(143, 478)(144, 490)(145, 480)(146, 558)(147, 481)(148, 482)(149, 483)(150, 568)(151, 484)(152, 562)(153, 567)(154, 488)(155, 489)(156, 495)(157, 569)(158, 570)(159, 546)(160, 500)(161, 501)(162, 502)(163, 504)(164, 573)(165, 521)(166, 571)(167, 574)(168, 509)(169, 572)(170, 510)(171, 511)(172, 512)(173, 575)(174, 513)(175, 537)(176, 535)(177, 519)(178, 576)(179, 533)(180, 529)(181, 524)(182, 541)(183, 528)(184, 530)(185, 532)(186, 539)(187, 545)(188, 547)(189, 560)(190, 552)(191, 553)(192, 555)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2957
Graph:: simple bipartite
	v = 224 e = 384 f = 120
	degree seq :: [ 2^192, 12^32 ]

E21.2959 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^2 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 98, 60, 30, 14)(9, 19, 39, 74, 122, 79, 42, 20)(12, 25, 49, 91, 141, 97, 52, 26)(16, 33, 64, 111, 147, 95, 51, 34)(17, 35, 67, 114, 160, 117, 70, 36)(21, 43, 80, 112, 158, 128, 82, 44)(24, 47, 87, 135, 174, 140, 90, 48)(28, 55, 101, 150, 179, 139, 89, 56)(29, 57, 40, 75, 123, 151, 106, 58)(32, 63, 92, 143, 125, 78, 107, 59)(37, 71, 96, 54, 100, 136, 119, 72)(41, 76, 124, 167, 175, 152, 108, 77)(45, 83, 118, 164, 187, 169, 130, 84)(46, 85, 131, 170, 190, 173, 134, 86)(50, 93, 62, 110, 155, 172, 133, 94)(65, 113, 159, 188, 191, 178, 144, 105)(66, 104, 68, 115, 161, 177, 145, 103)(69, 116, 162, 189, 192, 176, 146, 102)(73, 120, 81, 127, 132, 171, 142, 121)(88, 137, 99, 149, 126, 168, 129, 138)(109, 153, 180, 166, 182, 148, 181, 154)(156, 186, 157, 183, 163, 184, 165, 185)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 65)(34, 66)(35, 68)(36, 69)(38, 73)(39, 71)(42, 78)(43, 67)(44, 81)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 102)(56, 103)(57, 104)(58, 105)(60, 108)(61, 109)(63, 90)(64, 112)(70, 97)(72, 118)(74, 101)(75, 116)(76, 115)(77, 113)(79, 126)(80, 107)(82, 119)(83, 124)(84, 129)(85, 132)(86, 133)(87, 136)(91, 142)(93, 144)(94, 145)(95, 146)(98, 148)(100, 134)(106, 140)(110, 156)(111, 157)(114, 159)(117, 163)(120, 162)(121, 165)(122, 166)(123, 164)(125, 131)(127, 161)(128, 155)(130, 143)(135, 175)(137, 176)(138, 177)(139, 178)(141, 180)(147, 173)(149, 183)(150, 184)(151, 185)(152, 186)(153, 187)(154, 174)(158, 181)(160, 170)(167, 189)(168, 188)(169, 179)(171, 191)(172, 192)(182, 190)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2960
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2960 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-2 * T2 * T1)^2, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1)^2, (T2 * T1 * T2 * T1^-1)^3, T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^3 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2, (T2 * T1^-3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 82, 46, 32)(17, 33, 60, 99, 63, 34)(21, 40, 71, 112, 73, 41)(22, 42, 74, 115, 77, 43)(26, 50, 86, 118, 76, 51)(27, 52, 37, 67, 91, 53)(30, 56, 95, 136, 92, 54)(35, 64, 104, 148, 106, 65)(38, 68, 75, 117, 109, 69)(45, 80, 122, 113, 72, 81)(49, 85, 129, 172, 126, 83)(55, 93, 137, 159, 139, 94)(58, 98, 142, 178, 133, 90)(59, 89, 61, 100, 124, 88)(62, 101, 138, 182, 145, 102)(70, 110, 154, 184, 155, 111)(79, 121, 166, 190, 163, 119)(84, 127, 173, 156, 174, 128)(87, 132, 177, 192, 170, 125)(96, 141, 168, 149, 105, 134)(97, 130, 176, 153, 179, 135)(103, 146, 171, 131, 167, 147)(107, 151, 165, 120, 164, 144)(108, 143, 185, 191, 180, 152)(114, 116, 160, 187, 186, 158)(123, 169, 140, 183, 189, 162)(150, 181, 157, 161, 188, 175)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 61)(34, 62)(36, 64)(39, 70)(40, 60)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(51, 88)(52, 89)(53, 90)(56, 96)(57, 97)(63, 103)(65, 105)(66, 107)(67, 101)(68, 100)(69, 108)(71, 110)(73, 114)(74, 116)(77, 119)(78, 120)(80, 123)(81, 124)(82, 125)(85, 130)(86, 131)(91, 134)(92, 135)(93, 138)(94, 133)(95, 140)(98, 127)(99, 143)(102, 144)(104, 146)(106, 150)(109, 153)(111, 147)(112, 156)(113, 157)(115, 159)(117, 161)(118, 162)(121, 167)(122, 168)(126, 171)(128, 170)(129, 175)(132, 164)(136, 180)(137, 181)(139, 169)(141, 163)(142, 184)(145, 172)(148, 177)(149, 160)(151, 185)(152, 173)(154, 179)(155, 183)(158, 176)(165, 189)(166, 191)(174, 188)(178, 190)(182, 187)(186, 192)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2959
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2961 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^2 * T1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1)^3, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 77, 45, 23)(13, 26, 50, 86, 52, 27)(17, 33, 62, 103, 63, 34)(21, 40, 71, 112, 73, 41)(24, 46, 81, 125, 82, 47)(28, 53, 90, 134, 92, 54)(29, 55, 94, 139, 95, 56)(31, 59, 36, 66, 99, 60)(35, 64, 105, 150, 106, 65)(38, 68, 104, 148, 109, 69)(42, 74, 116, 161, 117, 75)(44, 78, 49, 85, 121, 79)(48, 83, 127, 172, 128, 84)(51, 87, 126, 170, 131, 88)(57, 96, 140, 175, 141, 97)(61, 100, 144, 113, 72, 101)(70, 110, 154, 160, 155, 111)(76, 118, 162, 153, 163, 119)(80, 122, 166, 135, 91, 123)(89, 132, 176, 138, 177, 133)(93, 137, 178, 188, 164, 120)(98, 115, 159, 156, 182, 142)(102, 145, 183, 187, 165, 146)(107, 151, 184, 147, 174, 130)(108, 129, 173, 190, 169, 152)(114, 149, 179, 191, 186, 158)(124, 167, 189, 181, 143, 168)(136, 171, 157, 185, 192, 180)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 227)(211, 228)(212, 230)(214, 234)(215, 236)(217, 240)(218, 241)(219, 243)(222, 249)(224, 239)(225, 253)(226, 237)(229, 245)(231, 262)(232, 242)(233, 264)(235, 268)(238, 272)(244, 281)(246, 283)(247, 285)(248, 271)(250, 290)(251, 270)(252, 267)(254, 294)(255, 289)(256, 296)(257, 287)(258, 279)(259, 299)(260, 277)(261, 300)(263, 302)(265, 306)(266, 307)(269, 312)(273, 316)(274, 311)(275, 318)(276, 309)(278, 321)(280, 322)(282, 324)(284, 328)(286, 330)(288, 310)(291, 315)(292, 335)(293, 313)(295, 339)(297, 341)(298, 338)(301, 345)(303, 325)(304, 348)(305, 349)(308, 352)(314, 357)(317, 361)(319, 363)(320, 360)(323, 367)(326, 370)(327, 371)(329, 366)(331, 373)(332, 372)(333, 368)(334, 356)(336, 358)(337, 369)(340, 377)(342, 364)(343, 365)(344, 351)(346, 355)(347, 359)(350, 354)(353, 379)(362, 383)(374, 384)(375, 382)(376, 381)(378, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2965
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2962 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^6, T2^8, T2^-4 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^-2 * T1^3 * T2^-1 * T1 * T2 * T1^-1, (T2^2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 26, 63, 38, 15, 5)(2, 7, 19, 46, 107, 54, 22, 8)(4, 12, 31, 74, 131, 59, 24, 9)(6, 17, 41, 95, 158, 103, 44, 18)(11, 28, 68, 101, 43, 100, 61, 25)(13, 33, 78, 146, 177, 132, 72, 30)(14, 35, 82, 118, 79, 147, 85, 36)(16, 39, 90, 151, 185, 156, 93, 40)(20, 48, 112, 155, 92, 60, 105, 45)(21, 51, 117, 73, 32, 76, 120, 52)(23, 56, 126, 83, 91, 152, 128, 57)(27, 65, 137, 176, 127, 172, 110, 62)(29, 70, 108, 170, 191, 181, 140, 67)(34, 80, 98, 163, 186, 179, 130, 81)(37, 87, 96, 160, 113, 173, 119, 88)(42, 97, 161, 139, 71, 104, 157, 94)(47, 109, 69, 141, 84, 129, 58, 106)(49, 114, 159, 192, 178, 125, 55, 111)(50, 115, 153, 188, 183, 142, 89, 116)(53, 122, 86, 149, 162, 135, 166, 123)(64, 134, 169, 189, 154, 145, 77, 133)(66, 138, 75, 144, 184, 150, 182, 136)(99, 164, 148, 180, 143, 174, 124, 165)(102, 167, 121, 175, 187, 171, 190, 168)(193, 194, 198, 208, 205, 196)(195, 201, 215, 247, 221, 203)(197, 206, 226, 241, 212, 199)(200, 213, 242, 290, 234, 209)(202, 217, 252, 285, 258, 219)(204, 222, 263, 332, 269, 224)(207, 229, 278, 282, 275, 227)(210, 235, 291, 345, 283, 231)(211, 237, 296, 264, 302, 239)(214, 245, 313, 270, 310, 243)(216, 250, 288, 233, 286, 248)(218, 254, 324, 370, 327, 256)(220, 259, 331, 374, 334, 261)(223, 265, 292, 236, 294, 267)(225, 232, 284, 346, 340, 271)(228, 276, 326, 354, 289, 272)(230, 281, 342, 351, 287, 279)(238, 298, 251, 322, 363, 300)(240, 303, 249, 319, 366, 305)(244, 311, 362, 379, 344, 307)(246, 316, 368, 378, 343, 314)(253, 309, 274, 318, 349, 297)(255, 325, 373, 377, 355, 308)(257, 328, 353, 341, 280, 312)(260, 301, 364, 320, 367, 315)(262, 317, 369, 380, 357, 299)(266, 330, 348, 383, 365, 335)(268, 337, 347, 382, 371, 329)(273, 323, 372, 381, 350, 306)(277, 336, 360, 304, 352, 321)(293, 358, 384, 376, 339, 356)(295, 361, 333, 375, 338, 359)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2966
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2963 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^2 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2, (T2 * T1^-1)^6 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 65)(34, 66)(35, 68)(36, 69)(38, 73)(39, 71)(42, 78)(43, 67)(44, 81)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 102)(56, 103)(57, 104)(58, 105)(60, 108)(61, 109)(63, 90)(64, 112)(70, 97)(72, 118)(74, 101)(75, 116)(76, 115)(77, 113)(79, 126)(80, 107)(82, 119)(83, 124)(84, 129)(85, 132)(86, 133)(87, 136)(91, 142)(93, 144)(94, 145)(95, 146)(98, 148)(100, 134)(106, 140)(110, 156)(111, 157)(114, 159)(117, 163)(120, 162)(121, 165)(122, 166)(123, 164)(125, 131)(127, 161)(128, 155)(130, 143)(135, 175)(137, 176)(138, 177)(139, 178)(141, 180)(147, 173)(149, 183)(150, 184)(151, 185)(152, 186)(153, 187)(154, 174)(158, 181)(160, 170)(167, 189)(168, 188)(169, 179)(171, 191)(172, 192)(182, 190)(193, 194, 197, 203, 215, 214, 202, 196)(195, 199, 207, 223, 253, 230, 210, 200)(198, 205, 219, 245, 290, 252, 222, 206)(201, 211, 231, 266, 314, 271, 234, 212)(204, 217, 241, 283, 333, 289, 244, 218)(208, 225, 256, 303, 339, 287, 243, 226)(209, 227, 259, 306, 352, 309, 262, 228)(213, 235, 272, 304, 350, 320, 274, 236)(216, 239, 279, 327, 366, 332, 282, 240)(220, 247, 293, 342, 371, 331, 281, 248)(221, 249, 232, 267, 315, 343, 298, 250)(224, 255, 284, 335, 317, 270, 299, 251)(229, 263, 288, 246, 292, 328, 311, 264)(233, 268, 316, 359, 367, 344, 300, 269)(237, 275, 310, 356, 379, 361, 322, 276)(238, 277, 323, 362, 382, 365, 326, 278)(242, 285, 254, 302, 347, 364, 325, 286)(257, 305, 351, 380, 383, 370, 336, 297)(258, 296, 260, 307, 353, 369, 337, 295)(261, 308, 354, 381, 384, 368, 338, 294)(265, 312, 273, 319, 324, 363, 334, 313)(280, 329, 291, 341, 318, 360, 321, 330)(301, 345, 372, 358, 374, 340, 373, 346)(348, 378, 349, 375, 355, 376, 357, 377)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2964
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2964 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^2 * T1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1)^3, T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, (T2^-1 * T1)^8 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 58, 250, 32, 224, 16, 208)(9, 201, 19, 211, 37, 229, 67, 259, 39, 231, 20, 212)(11, 203, 22, 214, 43, 235, 77, 269, 45, 237, 23, 215)(13, 205, 26, 218, 50, 242, 86, 278, 52, 244, 27, 219)(17, 209, 33, 225, 62, 254, 103, 295, 63, 255, 34, 226)(21, 213, 40, 232, 71, 263, 112, 304, 73, 265, 41, 233)(24, 216, 46, 238, 81, 273, 125, 317, 82, 274, 47, 239)(28, 220, 53, 245, 90, 282, 134, 326, 92, 284, 54, 246)(29, 221, 55, 247, 94, 286, 139, 331, 95, 287, 56, 248)(31, 223, 59, 251, 36, 228, 66, 258, 99, 291, 60, 252)(35, 227, 64, 256, 105, 297, 150, 342, 106, 298, 65, 257)(38, 230, 68, 260, 104, 296, 148, 340, 109, 301, 69, 261)(42, 234, 74, 266, 116, 308, 161, 353, 117, 309, 75, 267)(44, 236, 78, 270, 49, 241, 85, 277, 121, 313, 79, 271)(48, 240, 83, 275, 127, 319, 172, 364, 128, 320, 84, 276)(51, 243, 87, 279, 126, 318, 170, 362, 131, 323, 88, 280)(57, 249, 96, 288, 140, 332, 175, 367, 141, 333, 97, 289)(61, 253, 100, 292, 144, 336, 113, 305, 72, 264, 101, 293)(70, 262, 110, 302, 154, 346, 160, 352, 155, 347, 111, 303)(76, 268, 118, 310, 162, 354, 153, 345, 163, 355, 119, 311)(80, 272, 122, 314, 166, 358, 135, 327, 91, 283, 123, 315)(89, 281, 132, 324, 176, 368, 138, 330, 177, 369, 133, 325)(93, 285, 137, 329, 178, 370, 188, 380, 164, 356, 120, 312)(98, 290, 115, 307, 159, 351, 156, 348, 182, 374, 142, 334)(102, 294, 145, 337, 183, 375, 187, 379, 165, 357, 146, 338)(107, 299, 151, 343, 184, 376, 147, 339, 174, 366, 130, 322)(108, 300, 129, 321, 173, 365, 190, 382, 169, 361, 152, 344)(114, 306, 149, 341, 179, 371, 191, 383, 186, 378, 158, 350)(124, 316, 167, 359, 189, 381, 181, 373, 143, 335, 168, 360)(136, 328, 171, 363, 157, 349, 185, 377, 192, 384, 180, 372)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 240)(26, 241)(27, 243)(28, 206)(29, 207)(30, 249)(31, 208)(32, 239)(33, 253)(34, 237)(35, 210)(36, 211)(37, 245)(38, 212)(39, 262)(40, 242)(41, 264)(42, 214)(43, 268)(44, 215)(45, 226)(46, 272)(47, 224)(48, 217)(49, 218)(50, 232)(51, 219)(52, 281)(53, 229)(54, 283)(55, 285)(56, 271)(57, 222)(58, 290)(59, 270)(60, 267)(61, 225)(62, 294)(63, 289)(64, 296)(65, 287)(66, 279)(67, 299)(68, 277)(69, 300)(70, 231)(71, 302)(72, 233)(73, 306)(74, 307)(75, 252)(76, 235)(77, 312)(78, 251)(79, 248)(80, 238)(81, 316)(82, 311)(83, 318)(84, 309)(85, 260)(86, 321)(87, 258)(88, 322)(89, 244)(90, 324)(91, 246)(92, 328)(93, 247)(94, 330)(95, 257)(96, 310)(97, 255)(98, 250)(99, 315)(100, 335)(101, 313)(102, 254)(103, 339)(104, 256)(105, 341)(106, 338)(107, 259)(108, 261)(109, 345)(110, 263)(111, 325)(112, 348)(113, 349)(114, 265)(115, 266)(116, 352)(117, 276)(118, 288)(119, 274)(120, 269)(121, 293)(122, 357)(123, 291)(124, 273)(125, 361)(126, 275)(127, 363)(128, 360)(129, 278)(130, 280)(131, 367)(132, 282)(133, 303)(134, 370)(135, 371)(136, 284)(137, 366)(138, 286)(139, 373)(140, 372)(141, 368)(142, 356)(143, 292)(144, 358)(145, 369)(146, 298)(147, 295)(148, 377)(149, 297)(150, 364)(151, 365)(152, 351)(153, 301)(154, 355)(155, 359)(156, 304)(157, 305)(158, 354)(159, 344)(160, 308)(161, 379)(162, 350)(163, 346)(164, 334)(165, 314)(166, 336)(167, 347)(168, 320)(169, 317)(170, 383)(171, 319)(172, 342)(173, 343)(174, 329)(175, 323)(176, 333)(177, 337)(178, 326)(179, 327)(180, 332)(181, 331)(182, 384)(183, 382)(184, 381)(185, 340)(186, 380)(187, 353)(188, 378)(189, 376)(190, 375)(191, 362)(192, 374)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2963
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 12^32 ]

E21.2965 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^6, T2^8, T2^-4 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1, T1^-1 * T2^-2 * T1^3 * T2^-1 * T1 * T2 * T1^-1, (T2^2 * T1^-1 * T2 * T1^-1)^2 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 26, 218, 63, 255, 38, 230, 15, 207, 5, 197)(2, 194, 7, 199, 19, 211, 46, 238, 107, 299, 54, 246, 22, 214, 8, 200)(4, 196, 12, 204, 31, 223, 74, 266, 131, 323, 59, 251, 24, 216, 9, 201)(6, 198, 17, 209, 41, 233, 95, 287, 158, 350, 103, 295, 44, 236, 18, 210)(11, 203, 28, 220, 68, 260, 101, 293, 43, 235, 100, 292, 61, 253, 25, 217)(13, 205, 33, 225, 78, 270, 146, 338, 177, 369, 132, 324, 72, 264, 30, 222)(14, 206, 35, 227, 82, 274, 118, 310, 79, 271, 147, 339, 85, 277, 36, 228)(16, 208, 39, 231, 90, 282, 151, 343, 185, 377, 156, 348, 93, 285, 40, 232)(20, 212, 48, 240, 112, 304, 155, 347, 92, 284, 60, 252, 105, 297, 45, 237)(21, 213, 51, 243, 117, 309, 73, 265, 32, 224, 76, 268, 120, 312, 52, 244)(23, 215, 56, 248, 126, 318, 83, 275, 91, 283, 152, 344, 128, 320, 57, 249)(27, 219, 65, 257, 137, 329, 176, 368, 127, 319, 172, 364, 110, 302, 62, 254)(29, 221, 70, 262, 108, 300, 170, 362, 191, 383, 181, 373, 140, 332, 67, 259)(34, 226, 80, 272, 98, 290, 163, 355, 186, 378, 179, 371, 130, 322, 81, 273)(37, 229, 87, 279, 96, 288, 160, 352, 113, 305, 173, 365, 119, 311, 88, 280)(42, 234, 97, 289, 161, 353, 139, 331, 71, 263, 104, 296, 157, 349, 94, 286)(47, 239, 109, 301, 69, 261, 141, 333, 84, 276, 129, 321, 58, 250, 106, 298)(49, 241, 114, 306, 159, 351, 192, 384, 178, 370, 125, 317, 55, 247, 111, 303)(50, 242, 115, 307, 153, 345, 188, 380, 183, 375, 142, 334, 89, 281, 116, 308)(53, 245, 122, 314, 86, 278, 149, 341, 162, 354, 135, 327, 166, 358, 123, 315)(64, 256, 134, 326, 169, 361, 189, 381, 154, 346, 145, 337, 77, 269, 133, 325)(66, 258, 138, 330, 75, 267, 144, 336, 184, 376, 150, 342, 182, 374, 136, 328)(99, 291, 164, 356, 148, 340, 180, 372, 143, 335, 174, 366, 124, 316, 165, 357)(102, 294, 167, 359, 121, 313, 175, 367, 187, 379, 171, 363, 190, 382, 168, 360)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 206)(6, 208)(7, 197)(8, 213)(9, 215)(10, 217)(11, 195)(12, 222)(13, 196)(14, 226)(15, 229)(16, 205)(17, 200)(18, 235)(19, 237)(20, 199)(21, 242)(22, 245)(23, 247)(24, 250)(25, 252)(26, 254)(27, 202)(28, 259)(29, 203)(30, 263)(31, 265)(32, 204)(33, 232)(34, 241)(35, 207)(36, 276)(37, 278)(38, 281)(39, 210)(40, 284)(41, 286)(42, 209)(43, 291)(44, 294)(45, 296)(46, 298)(47, 211)(48, 303)(49, 212)(50, 290)(51, 214)(52, 311)(53, 313)(54, 316)(55, 221)(56, 216)(57, 319)(58, 288)(59, 322)(60, 285)(61, 309)(62, 324)(63, 325)(64, 218)(65, 328)(66, 219)(67, 331)(68, 301)(69, 220)(70, 317)(71, 332)(72, 302)(73, 292)(74, 330)(75, 223)(76, 337)(77, 224)(78, 310)(79, 225)(80, 228)(81, 323)(82, 318)(83, 227)(84, 326)(85, 336)(86, 282)(87, 230)(88, 312)(89, 342)(90, 275)(91, 231)(92, 346)(93, 258)(94, 248)(95, 279)(96, 233)(97, 272)(98, 234)(99, 345)(100, 236)(101, 358)(102, 267)(103, 361)(104, 264)(105, 253)(106, 251)(107, 262)(108, 238)(109, 364)(110, 239)(111, 249)(112, 352)(113, 240)(114, 273)(115, 244)(116, 255)(117, 274)(118, 243)(119, 362)(120, 257)(121, 270)(122, 246)(123, 260)(124, 368)(125, 369)(126, 349)(127, 366)(128, 367)(129, 277)(130, 363)(131, 372)(132, 370)(133, 373)(134, 354)(135, 256)(136, 353)(137, 268)(138, 348)(139, 374)(140, 269)(141, 375)(142, 261)(143, 266)(144, 360)(145, 347)(146, 359)(147, 356)(148, 271)(149, 280)(150, 351)(151, 314)(152, 307)(153, 283)(154, 340)(155, 382)(156, 383)(157, 297)(158, 306)(159, 287)(160, 321)(161, 341)(162, 289)(163, 308)(164, 293)(165, 299)(166, 384)(167, 295)(168, 304)(169, 333)(170, 379)(171, 300)(172, 320)(173, 335)(174, 305)(175, 315)(176, 378)(177, 380)(178, 327)(179, 329)(180, 381)(181, 377)(182, 334)(183, 338)(184, 339)(185, 355)(186, 343)(187, 344)(188, 357)(189, 350)(190, 371)(191, 365)(192, 376)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2961
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2966 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^2 * T2 * T1^-1 * T2)^2, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2, (T2 * T1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 37, 229)(19, 211, 40, 232)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 59, 251)(31, 223, 62, 254)(33, 225, 65, 257)(34, 226, 66, 258)(35, 227, 68, 260)(36, 228, 69, 261)(38, 230, 73, 265)(39, 231, 71, 263)(42, 234, 78, 270)(43, 235, 67, 259)(44, 236, 81, 273)(47, 239, 88, 280)(48, 240, 89, 281)(49, 241, 92, 284)(52, 244, 96, 288)(53, 245, 99, 291)(55, 247, 102, 294)(56, 248, 103, 295)(57, 249, 104, 296)(58, 250, 105, 297)(60, 252, 108, 300)(61, 253, 109, 301)(63, 255, 90, 282)(64, 256, 112, 304)(70, 262, 97, 289)(72, 264, 118, 310)(74, 266, 101, 293)(75, 267, 116, 308)(76, 268, 115, 307)(77, 269, 113, 305)(79, 271, 126, 318)(80, 272, 107, 299)(82, 274, 119, 311)(83, 275, 124, 316)(84, 276, 129, 321)(85, 277, 132, 324)(86, 278, 133, 325)(87, 279, 136, 328)(91, 283, 142, 334)(93, 285, 144, 336)(94, 286, 145, 337)(95, 287, 146, 338)(98, 290, 148, 340)(100, 292, 134, 326)(106, 298, 140, 332)(110, 302, 156, 348)(111, 303, 157, 349)(114, 306, 159, 351)(117, 309, 163, 355)(120, 312, 162, 354)(121, 313, 165, 357)(122, 314, 166, 358)(123, 315, 164, 356)(125, 317, 131, 323)(127, 319, 161, 353)(128, 320, 155, 347)(130, 322, 143, 335)(135, 327, 175, 367)(137, 329, 176, 368)(138, 330, 177, 369)(139, 331, 178, 370)(141, 333, 180, 372)(147, 339, 173, 365)(149, 341, 183, 375)(150, 342, 184, 376)(151, 343, 185, 377)(152, 344, 186, 378)(153, 345, 187, 379)(154, 346, 174, 366)(158, 350, 181, 373)(160, 352, 170, 362)(167, 359, 189, 381)(168, 360, 188, 380)(169, 361, 179, 371)(171, 363, 191, 383)(172, 364, 192, 384)(182, 374, 190, 382)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 231)(20, 201)(21, 235)(22, 202)(23, 214)(24, 239)(25, 241)(26, 204)(27, 245)(28, 247)(29, 249)(30, 206)(31, 253)(32, 255)(33, 256)(34, 208)(35, 259)(36, 209)(37, 263)(38, 210)(39, 266)(40, 267)(41, 268)(42, 212)(43, 272)(44, 213)(45, 275)(46, 277)(47, 279)(48, 216)(49, 283)(50, 285)(51, 226)(52, 218)(53, 290)(54, 292)(55, 293)(56, 220)(57, 232)(58, 221)(59, 224)(60, 222)(61, 230)(62, 302)(63, 284)(64, 303)(65, 305)(66, 296)(67, 306)(68, 307)(69, 308)(70, 228)(71, 288)(72, 229)(73, 312)(74, 314)(75, 315)(76, 316)(77, 233)(78, 299)(79, 234)(80, 304)(81, 319)(82, 236)(83, 310)(84, 237)(85, 323)(86, 238)(87, 327)(88, 329)(89, 248)(90, 240)(91, 333)(92, 335)(93, 254)(94, 242)(95, 243)(96, 246)(97, 244)(98, 252)(99, 341)(100, 328)(101, 342)(102, 261)(103, 258)(104, 260)(105, 257)(106, 250)(107, 251)(108, 269)(109, 345)(110, 347)(111, 339)(112, 350)(113, 351)(114, 352)(115, 353)(116, 354)(117, 262)(118, 356)(119, 264)(120, 273)(121, 265)(122, 271)(123, 343)(124, 359)(125, 270)(126, 360)(127, 324)(128, 274)(129, 330)(130, 276)(131, 362)(132, 363)(133, 286)(134, 278)(135, 366)(136, 311)(137, 291)(138, 280)(139, 281)(140, 282)(141, 289)(142, 313)(143, 317)(144, 297)(145, 295)(146, 294)(147, 287)(148, 373)(149, 318)(150, 371)(151, 298)(152, 300)(153, 372)(154, 301)(155, 364)(156, 378)(157, 375)(158, 320)(159, 380)(160, 309)(161, 369)(162, 381)(163, 376)(164, 379)(165, 377)(166, 374)(167, 367)(168, 321)(169, 322)(170, 382)(171, 334)(172, 325)(173, 326)(174, 332)(175, 344)(176, 338)(177, 337)(178, 336)(179, 331)(180, 358)(181, 346)(182, 340)(183, 355)(184, 357)(185, 348)(186, 349)(187, 361)(188, 383)(189, 384)(190, 365)(191, 370)(192, 368)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2962
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y2 * Y1 * Y2^-2 * Y1)^2, Y2^-2 * Y1 * Y2 * Y1 * Y2^4 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^8, Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 35, 227)(19, 211, 36, 228)(20, 212, 38, 230)(22, 214, 42, 234)(23, 215, 44, 236)(25, 217, 48, 240)(26, 218, 49, 241)(27, 219, 51, 243)(30, 222, 57, 249)(32, 224, 47, 239)(33, 225, 61, 253)(34, 226, 45, 237)(37, 229, 53, 245)(39, 231, 70, 262)(40, 232, 50, 242)(41, 233, 72, 264)(43, 235, 76, 268)(46, 238, 80, 272)(52, 244, 89, 281)(54, 246, 91, 283)(55, 247, 93, 285)(56, 248, 79, 271)(58, 250, 98, 290)(59, 251, 78, 270)(60, 252, 75, 267)(62, 254, 102, 294)(63, 255, 97, 289)(64, 256, 104, 296)(65, 257, 95, 287)(66, 258, 87, 279)(67, 259, 107, 299)(68, 260, 85, 277)(69, 261, 108, 300)(71, 263, 110, 302)(73, 265, 114, 306)(74, 266, 115, 307)(77, 269, 120, 312)(81, 273, 124, 316)(82, 274, 119, 311)(83, 275, 126, 318)(84, 276, 117, 309)(86, 278, 129, 321)(88, 280, 130, 322)(90, 282, 132, 324)(92, 284, 136, 328)(94, 286, 138, 330)(96, 288, 118, 310)(99, 291, 123, 315)(100, 292, 143, 335)(101, 293, 121, 313)(103, 295, 147, 339)(105, 297, 149, 341)(106, 298, 146, 338)(109, 301, 153, 345)(111, 303, 133, 325)(112, 304, 156, 348)(113, 305, 157, 349)(116, 308, 160, 352)(122, 314, 165, 357)(125, 317, 169, 361)(127, 319, 171, 363)(128, 320, 168, 360)(131, 323, 175, 367)(134, 326, 178, 370)(135, 327, 179, 371)(137, 329, 174, 366)(139, 331, 181, 373)(140, 332, 180, 372)(141, 333, 176, 368)(142, 334, 164, 356)(144, 336, 166, 358)(145, 337, 177, 369)(148, 340, 185, 377)(150, 342, 172, 364)(151, 343, 173, 365)(152, 344, 159, 351)(154, 346, 163, 355)(155, 347, 167, 359)(158, 350, 162, 354)(161, 353, 187, 379)(170, 362, 191, 383)(182, 374, 192, 384)(183, 375, 190, 382)(184, 376, 189, 381)(186, 378, 188, 380)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 442, 634, 416, 608, 400, 592)(393, 585, 403, 595, 421, 613, 451, 643, 423, 615, 404, 596)(395, 587, 406, 598, 427, 619, 461, 653, 429, 621, 407, 599)(397, 589, 410, 602, 434, 626, 470, 662, 436, 628, 411, 603)(401, 593, 417, 609, 446, 638, 487, 679, 447, 639, 418, 610)(405, 597, 424, 616, 455, 647, 496, 688, 457, 649, 425, 617)(408, 600, 430, 622, 465, 657, 509, 701, 466, 658, 431, 623)(412, 604, 437, 629, 474, 666, 518, 710, 476, 668, 438, 630)(413, 605, 439, 631, 478, 670, 523, 715, 479, 671, 440, 632)(415, 607, 443, 635, 420, 612, 450, 642, 483, 675, 444, 636)(419, 611, 448, 640, 489, 681, 534, 726, 490, 682, 449, 641)(422, 614, 452, 644, 488, 680, 532, 724, 493, 685, 453, 645)(426, 618, 458, 650, 500, 692, 545, 737, 501, 693, 459, 651)(428, 620, 462, 654, 433, 625, 469, 661, 505, 697, 463, 655)(432, 624, 467, 659, 511, 703, 556, 748, 512, 704, 468, 660)(435, 627, 471, 663, 510, 702, 554, 746, 515, 707, 472, 664)(441, 633, 480, 672, 524, 716, 559, 751, 525, 717, 481, 673)(445, 637, 484, 676, 528, 720, 497, 689, 456, 648, 485, 677)(454, 646, 494, 686, 538, 730, 544, 736, 539, 731, 495, 687)(460, 652, 502, 694, 546, 738, 537, 729, 547, 739, 503, 695)(464, 656, 506, 698, 550, 742, 519, 711, 475, 667, 507, 699)(473, 665, 516, 708, 560, 752, 522, 714, 561, 753, 517, 709)(477, 669, 521, 713, 562, 754, 572, 764, 548, 740, 504, 696)(482, 674, 499, 691, 543, 735, 540, 732, 566, 758, 526, 718)(486, 678, 529, 721, 567, 759, 571, 763, 549, 741, 530, 722)(491, 683, 535, 727, 568, 760, 531, 723, 558, 750, 514, 706)(492, 684, 513, 705, 557, 749, 574, 766, 553, 745, 536, 728)(498, 690, 533, 725, 563, 755, 575, 767, 570, 762, 542, 734)(508, 700, 551, 743, 573, 765, 565, 757, 527, 719, 552, 744)(520, 712, 555, 747, 541, 733, 569, 761, 576, 768, 564, 756)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 419)(19, 420)(20, 422)(21, 394)(22, 426)(23, 428)(24, 396)(25, 432)(26, 433)(27, 435)(28, 398)(29, 399)(30, 441)(31, 400)(32, 431)(33, 445)(34, 429)(35, 402)(36, 403)(37, 437)(38, 404)(39, 454)(40, 434)(41, 456)(42, 406)(43, 460)(44, 407)(45, 418)(46, 464)(47, 416)(48, 409)(49, 410)(50, 424)(51, 411)(52, 473)(53, 421)(54, 475)(55, 477)(56, 463)(57, 414)(58, 482)(59, 462)(60, 459)(61, 417)(62, 486)(63, 481)(64, 488)(65, 479)(66, 471)(67, 491)(68, 469)(69, 492)(70, 423)(71, 494)(72, 425)(73, 498)(74, 499)(75, 444)(76, 427)(77, 504)(78, 443)(79, 440)(80, 430)(81, 508)(82, 503)(83, 510)(84, 501)(85, 452)(86, 513)(87, 450)(88, 514)(89, 436)(90, 516)(91, 438)(92, 520)(93, 439)(94, 522)(95, 449)(96, 502)(97, 447)(98, 442)(99, 507)(100, 527)(101, 505)(102, 446)(103, 531)(104, 448)(105, 533)(106, 530)(107, 451)(108, 453)(109, 537)(110, 455)(111, 517)(112, 540)(113, 541)(114, 457)(115, 458)(116, 544)(117, 468)(118, 480)(119, 466)(120, 461)(121, 485)(122, 549)(123, 483)(124, 465)(125, 553)(126, 467)(127, 555)(128, 552)(129, 470)(130, 472)(131, 559)(132, 474)(133, 495)(134, 562)(135, 563)(136, 476)(137, 558)(138, 478)(139, 565)(140, 564)(141, 560)(142, 548)(143, 484)(144, 550)(145, 561)(146, 490)(147, 487)(148, 569)(149, 489)(150, 556)(151, 557)(152, 543)(153, 493)(154, 547)(155, 551)(156, 496)(157, 497)(158, 546)(159, 536)(160, 500)(161, 571)(162, 542)(163, 538)(164, 526)(165, 506)(166, 528)(167, 539)(168, 512)(169, 509)(170, 575)(171, 511)(172, 534)(173, 535)(174, 521)(175, 515)(176, 525)(177, 529)(178, 518)(179, 519)(180, 524)(181, 523)(182, 576)(183, 574)(184, 573)(185, 532)(186, 572)(187, 545)(188, 570)(189, 568)(190, 567)(191, 554)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2970
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 4^96, 12^32 ]

E21.2968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y2^8, Y2^-2 * Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y2^-2 * Y1^2 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^2 * Y2^2 * Y1^3, (Y2^2 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 55, 247, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 49, 241, 20, 212, 7, 199)(8, 200, 21, 213, 50, 242, 98, 290, 42, 234, 17, 209)(10, 202, 25, 217, 60, 252, 93, 285, 66, 258, 27, 219)(12, 204, 30, 222, 71, 263, 140, 332, 77, 269, 32, 224)(15, 207, 37, 229, 86, 278, 90, 282, 83, 275, 35, 227)(18, 210, 43, 235, 99, 291, 153, 345, 91, 283, 39, 231)(19, 211, 45, 237, 104, 296, 72, 264, 110, 302, 47, 239)(22, 214, 53, 245, 121, 313, 78, 270, 118, 310, 51, 243)(24, 216, 58, 250, 96, 288, 41, 233, 94, 286, 56, 248)(26, 218, 62, 254, 132, 324, 178, 370, 135, 327, 64, 256)(28, 220, 67, 259, 139, 331, 182, 374, 142, 334, 69, 261)(31, 223, 73, 265, 100, 292, 44, 236, 102, 294, 75, 267)(33, 225, 40, 232, 92, 284, 154, 346, 148, 340, 79, 271)(36, 228, 84, 276, 134, 326, 162, 354, 97, 289, 80, 272)(38, 230, 89, 281, 150, 342, 159, 351, 95, 287, 87, 279)(46, 238, 106, 298, 59, 251, 130, 322, 171, 363, 108, 300)(48, 240, 111, 303, 57, 249, 127, 319, 174, 366, 113, 305)(52, 244, 119, 311, 170, 362, 187, 379, 152, 344, 115, 307)(54, 246, 124, 316, 176, 368, 186, 378, 151, 343, 122, 314)(61, 253, 117, 309, 82, 274, 126, 318, 157, 349, 105, 297)(63, 255, 133, 325, 181, 373, 185, 377, 163, 355, 116, 308)(65, 257, 136, 328, 161, 353, 149, 341, 88, 280, 120, 312)(68, 260, 109, 301, 172, 364, 128, 320, 175, 367, 123, 315)(70, 262, 125, 317, 177, 369, 188, 380, 165, 357, 107, 299)(74, 266, 138, 330, 156, 348, 191, 383, 173, 365, 143, 335)(76, 268, 145, 337, 155, 347, 190, 382, 179, 371, 137, 329)(81, 273, 131, 323, 180, 372, 189, 381, 158, 350, 114, 306)(85, 277, 144, 336, 168, 360, 112, 304, 160, 352, 129, 321)(101, 293, 166, 358, 192, 384, 184, 376, 147, 339, 164, 356)(103, 295, 169, 361, 141, 333, 183, 375, 146, 338, 167, 359)(385, 577, 387, 579, 394, 586, 410, 602, 447, 639, 422, 614, 399, 591, 389, 581)(386, 578, 391, 583, 403, 595, 430, 622, 491, 683, 438, 630, 406, 598, 392, 584)(388, 580, 396, 588, 415, 607, 458, 650, 515, 707, 443, 635, 408, 600, 393, 585)(390, 582, 401, 593, 425, 617, 479, 671, 542, 734, 487, 679, 428, 620, 402, 594)(395, 587, 412, 604, 452, 644, 485, 677, 427, 619, 484, 676, 445, 637, 409, 601)(397, 589, 417, 609, 462, 654, 530, 722, 561, 753, 516, 708, 456, 648, 414, 606)(398, 590, 419, 611, 466, 658, 502, 694, 463, 655, 531, 723, 469, 661, 420, 612)(400, 592, 423, 615, 474, 666, 535, 727, 569, 761, 540, 732, 477, 669, 424, 616)(404, 596, 432, 624, 496, 688, 539, 731, 476, 668, 444, 636, 489, 681, 429, 621)(405, 597, 435, 627, 501, 693, 457, 649, 416, 608, 460, 652, 504, 696, 436, 628)(407, 599, 440, 632, 510, 702, 467, 659, 475, 667, 536, 728, 512, 704, 441, 633)(411, 603, 449, 641, 521, 713, 560, 752, 511, 703, 556, 748, 494, 686, 446, 638)(413, 605, 454, 646, 492, 684, 554, 746, 575, 767, 565, 757, 524, 716, 451, 643)(418, 610, 464, 656, 482, 674, 547, 739, 570, 762, 563, 755, 514, 706, 465, 657)(421, 613, 471, 663, 480, 672, 544, 736, 497, 689, 557, 749, 503, 695, 472, 664)(426, 618, 481, 673, 545, 737, 523, 715, 455, 647, 488, 680, 541, 733, 478, 670)(431, 623, 493, 685, 453, 645, 525, 717, 468, 660, 513, 705, 442, 634, 490, 682)(433, 625, 498, 690, 543, 735, 576, 768, 562, 754, 509, 701, 439, 631, 495, 687)(434, 626, 499, 691, 537, 729, 572, 764, 567, 759, 526, 718, 473, 665, 500, 692)(437, 629, 506, 698, 470, 662, 533, 725, 546, 738, 519, 711, 550, 742, 507, 699)(448, 640, 518, 710, 553, 745, 573, 765, 538, 730, 529, 721, 461, 653, 517, 709)(450, 642, 522, 714, 459, 651, 528, 720, 568, 760, 534, 726, 566, 758, 520, 712)(483, 675, 548, 740, 532, 724, 564, 756, 527, 719, 558, 750, 508, 700, 549, 741)(486, 678, 551, 743, 505, 697, 559, 751, 571, 763, 555, 747, 574, 766, 552, 744)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 415)(13, 417)(14, 419)(15, 389)(16, 423)(17, 425)(18, 390)(19, 430)(20, 432)(21, 435)(22, 392)(23, 440)(24, 393)(25, 395)(26, 447)(27, 449)(28, 452)(29, 454)(30, 397)(31, 458)(32, 460)(33, 462)(34, 464)(35, 466)(36, 398)(37, 471)(38, 399)(39, 474)(40, 400)(41, 479)(42, 481)(43, 484)(44, 402)(45, 404)(46, 491)(47, 493)(48, 496)(49, 498)(50, 499)(51, 501)(52, 405)(53, 506)(54, 406)(55, 495)(56, 510)(57, 407)(58, 490)(59, 408)(60, 489)(61, 409)(62, 411)(63, 422)(64, 518)(65, 521)(66, 522)(67, 413)(68, 485)(69, 525)(70, 492)(71, 488)(72, 414)(73, 416)(74, 515)(75, 528)(76, 504)(77, 517)(78, 530)(79, 531)(80, 482)(81, 418)(82, 502)(83, 475)(84, 513)(85, 420)(86, 533)(87, 480)(88, 421)(89, 500)(90, 535)(91, 536)(92, 444)(93, 424)(94, 426)(95, 542)(96, 544)(97, 545)(98, 547)(99, 548)(100, 445)(101, 427)(102, 551)(103, 428)(104, 541)(105, 429)(106, 431)(107, 438)(108, 554)(109, 453)(110, 446)(111, 433)(112, 539)(113, 557)(114, 543)(115, 537)(116, 434)(117, 457)(118, 463)(119, 472)(120, 436)(121, 559)(122, 470)(123, 437)(124, 549)(125, 439)(126, 467)(127, 556)(128, 441)(129, 442)(130, 465)(131, 443)(132, 456)(133, 448)(134, 553)(135, 550)(136, 450)(137, 560)(138, 459)(139, 455)(140, 451)(141, 468)(142, 473)(143, 558)(144, 568)(145, 461)(146, 561)(147, 469)(148, 564)(149, 546)(150, 566)(151, 569)(152, 512)(153, 572)(154, 529)(155, 476)(156, 477)(157, 478)(158, 487)(159, 576)(160, 497)(161, 523)(162, 519)(163, 570)(164, 532)(165, 483)(166, 507)(167, 505)(168, 486)(169, 573)(170, 575)(171, 574)(172, 494)(173, 503)(174, 508)(175, 571)(176, 511)(177, 516)(178, 509)(179, 514)(180, 527)(181, 524)(182, 520)(183, 526)(184, 534)(185, 540)(186, 563)(187, 555)(188, 567)(189, 538)(190, 552)(191, 565)(192, 562)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 E21.2969
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 12^32, 16^24 ]

E21.2969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3^2 * Y2 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-1, Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2, (Y3 * Y2 * Y3^-1 * Y2)^3, (Y3 * Y2)^6, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 415, 607)(400, 592, 417, 609)(402, 594, 421, 613)(403, 595, 423, 615)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 430, 622)(408, 600, 432, 624)(410, 602, 436, 628)(411, 603, 438, 630)(412, 604, 440, 632)(414, 606, 444, 636)(416, 608, 447, 639)(418, 610, 435, 627)(419, 611, 452, 644)(420, 612, 433, 625)(422, 614, 457, 649)(424, 616, 442, 634)(426, 618, 462, 654)(427, 619, 439, 631)(428, 620, 465, 657)(431, 623, 471, 663)(434, 626, 476, 668)(437, 629, 481, 673)(441, 633, 486, 678)(443, 635, 489, 681)(445, 637, 485, 677)(446, 638, 474, 666)(448, 640, 496, 688)(449, 641, 473, 665)(450, 642, 470, 662)(451, 643, 499, 691)(453, 645, 477, 669)(454, 646, 488, 680)(455, 647, 502, 694)(456, 648, 494, 686)(458, 650, 484, 676)(459, 651, 493, 685)(460, 652, 482, 674)(461, 653, 469, 661)(463, 655, 510, 702)(464, 656, 478, 670)(466, 658, 490, 682)(467, 659, 508, 700)(468, 660, 513, 705)(472, 664, 518, 710)(475, 667, 521, 713)(479, 671, 524, 716)(480, 672, 516, 708)(483, 675, 515, 707)(487, 679, 532, 724)(491, 683, 530, 722)(492, 684, 535, 727)(495, 687, 539, 731)(497, 689, 542, 734)(498, 690, 522, 714)(500, 692, 520, 712)(501, 693, 536, 728)(503, 695, 534, 726)(504, 696, 548, 740)(505, 697, 545, 737)(506, 698, 533, 725)(507, 699, 550, 742)(509, 701, 549, 741)(511, 703, 528, 720)(512, 704, 525, 717)(514, 706, 523, 715)(517, 709, 556, 748)(519, 711, 559, 751)(526, 718, 565, 757)(527, 719, 562, 754)(529, 721, 567, 759)(531, 723, 566, 758)(537, 729, 569, 761)(538, 730, 555, 747)(540, 732, 557, 749)(541, 733, 561, 753)(543, 735, 563, 755)(544, 736, 558, 750)(546, 738, 560, 752)(547, 739, 573, 765)(551, 743, 568, 760)(552, 744, 554, 746)(553, 745, 571, 763)(564, 756, 576, 768)(570, 762, 574, 766)(572, 764, 575, 767)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 416)(16, 391)(17, 419)(18, 422)(19, 424)(20, 393)(21, 427)(22, 394)(23, 431)(24, 395)(25, 434)(26, 437)(27, 439)(28, 397)(29, 442)(30, 398)(31, 445)(32, 448)(33, 449)(34, 400)(35, 453)(36, 401)(37, 455)(38, 406)(39, 458)(40, 459)(41, 460)(42, 404)(43, 464)(44, 405)(45, 467)(46, 469)(47, 472)(48, 473)(49, 408)(50, 477)(51, 409)(52, 479)(53, 414)(54, 482)(55, 483)(56, 484)(57, 412)(58, 488)(59, 413)(60, 491)(61, 493)(62, 415)(63, 495)(64, 497)(65, 423)(66, 417)(67, 418)(68, 480)(69, 501)(70, 420)(71, 503)(72, 421)(73, 504)(74, 506)(75, 507)(76, 508)(77, 425)(78, 478)(79, 426)(80, 471)(81, 511)(82, 428)(83, 489)(84, 429)(85, 515)(86, 430)(87, 517)(88, 519)(89, 438)(90, 432)(91, 433)(92, 456)(93, 523)(94, 435)(95, 525)(96, 436)(97, 526)(98, 528)(99, 529)(100, 530)(101, 440)(102, 454)(103, 441)(104, 447)(105, 533)(106, 443)(107, 465)(108, 444)(109, 537)(110, 446)(111, 534)(112, 540)(113, 451)(114, 450)(115, 461)(116, 452)(117, 531)(118, 541)(119, 547)(120, 549)(121, 457)(122, 543)(123, 463)(124, 551)(125, 462)(126, 552)(127, 548)(128, 466)(129, 546)(130, 468)(131, 554)(132, 470)(133, 512)(134, 557)(135, 475)(136, 474)(137, 485)(138, 476)(139, 509)(140, 558)(141, 564)(142, 566)(143, 481)(144, 560)(145, 487)(146, 568)(147, 486)(148, 569)(149, 565)(150, 490)(151, 563)(152, 492)(153, 571)(154, 494)(155, 505)(156, 510)(157, 496)(158, 556)(159, 498)(160, 499)(161, 500)(162, 502)(163, 562)(164, 570)(165, 567)(166, 572)(167, 573)(168, 513)(169, 514)(170, 574)(171, 516)(172, 527)(173, 532)(174, 518)(175, 539)(176, 520)(177, 521)(178, 522)(179, 524)(180, 545)(181, 553)(182, 550)(183, 575)(184, 576)(185, 535)(186, 536)(187, 538)(188, 542)(189, 544)(190, 555)(191, 559)(192, 561)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2968
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.2970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y1^2 * Y3 * Y1^-1 * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-2, (Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2, (Y3 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 61, 253, 38, 230, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 98, 290, 60, 252, 30, 222, 14, 206)(9, 201, 19, 211, 39, 231, 74, 266, 122, 314, 79, 271, 42, 234, 20, 212)(12, 204, 25, 217, 49, 241, 91, 283, 141, 333, 97, 289, 52, 244, 26, 218)(16, 208, 33, 225, 64, 256, 111, 303, 147, 339, 95, 287, 51, 243, 34, 226)(17, 209, 35, 227, 67, 259, 114, 306, 160, 352, 117, 309, 70, 262, 36, 228)(21, 213, 43, 235, 80, 272, 112, 304, 158, 350, 128, 320, 82, 274, 44, 236)(24, 216, 47, 239, 87, 279, 135, 327, 174, 366, 140, 332, 90, 282, 48, 240)(28, 220, 55, 247, 101, 293, 150, 342, 179, 371, 139, 331, 89, 281, 56, 248)(29, 221, 57, 249, 40, 232, 75, 267, 123, 315, 151, 343, 106, 298, 58, 250)(32, 224, 63, 255, 92, 284, 143, 335, 125, 317, 78, 270, 107, 299, 59, 251)(37, 229, 71, 263, 96, 288, 54, 246, 100, 292, 136, 328, 119, 311, 72, 264)(41, 233, 76, 268, 124, 316, 167, 359, 175, 367, 152, 344, 108, 300, 77, 269)(45, 237, 83, 275, 118, 310, 164, 356, 187, 379, 169, 361, 130, 322, 84, 276)(46, 238, 85, 277, 131, 323, 170, 362, 190, 382, 173, 365, 134, 326, 86, 278)(50, 242, 93, 285, 62, 254, 110, 302, 155, 347, 172, 364, 133, 325, 94, 286)(65, 257, 113, 305, 159, 351, 188, 380, 191, 383, 178, 370, 144, 336, 105, 297)(66, 258, 104, 296, 68, 260, 115, 307, 161, 353, 177, 369, 145, 337, 103, 295)(69, 261, 116, 308, 162, 354, 189, 381, 192, 384, 176, 368, 146, 338, 102, 294)(73, 265, 120, 312, 81, 273, 127, 319, 132, 324, 171, 363, 142, 334, 121, 313)(88, 280, 137, 329, 99, 291, 149, 341, 126, 318, 168, 360, 129, 321, 138, 330)(109, 301, 153, 345, 180, 372, 166, 358, 182, 374, 148, 340, 181, 373, 154, 346)(156, 348, 186, 378, 157, 349, 183, 375, 163, 355, 184, 376, 165, 357, 185, 377)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 421)(19, 424)(20, 425)(21, 394)(22, 429)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 443)(31, 446)(32, 399)(33, 449)(34, 450)(35, 452)(36, 453)(37, 402)(38, 457)(39, 455)(40, 403)(41, 404)(42, 462)(43, 451)(44, 465)(45, 406)(46, 407)(47, 472)(48, 473)(49, 476)(50, 409)(51, 410)(52, 480)(53, 483)(54, 411)(55, 486)(56, 487)(57, 488)(58, 489)(59, 414)(60, 492)(61, 493)(62, 415)(63, 474)(64, 496)(65, 417)(66, 418)(67, 427)(68, 419)(69, 420)(70, 481)(71, 423)(72, 502)(73, 422)(74, 485)(75, 500)(76, 499)(77, 497)(78, 426)(79, 510)(80, 491)(81, 428)(82, 503)(83, 508)(84, 513)(85, 516)(86, 517)(87, 520)(88, 431)(89, 432)(90, 447)(91, 526)(92, 433)(93, 528)(94, 529)(95, 530)(96, 436)(97, 454)(98, 532)(99, 437)(100, 518)(101, 458)(102, 439)(103, 440)(104, 441)(105, 442)(106, 524)(107, 464)(108, 444)(109, 445)(110, 540)(111, 541)(112, 448)(113, 461)(114, 543)(115, 460)(116, 459)(117, 547)(118, 456)(119, 466)(120, 546)(121, 549)(122, 550)(123, 548)(124, 467)(125, 515)(126, 463)(127, 545)(128, 539)(129, 468)(130, 527)(131, 509)(132, 469)(133, 470)(134, 484)(135, 559)(136, 471)(137, 560)(138, 561)(139, 562)(140, 490)(141, 564)(142, 475)(143, 514)(144, 477)(145, 478)(146, 479)(147, 557)(148, 482)(149, 567)(150, 568)(151, 569)(152, 570)(153, 571)(154, 558)(155, 512)(156, 494)(157, 495)(158, 565)(159, 498)(160, 554)(161, 511)(162, 504)(163, 501)(164, 507)(165, 505)(166, 506)(167, 573)(168, 572)(169, 563)(170, 544)(171, 575)(172, 576)(173, 531)(174, 538)(175, 519)(176, 521)(177, 522)(178, 523)(179, 553)(180, 525)(181, 542)(182, 574)(183, 533)(184, 534)(185, 535)(186, 536)(187, 537)(188, 552)(189, 551)(190, 566)(191, 555)(192, 556)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2967
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.2971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^2 * Y1 * Y2^-1 * Y1)^2, Y2^2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^3, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 31, 223)(16, 208, 33, 225)(18, 210, 37, 229)(19, 211, 39, 231)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(24, 216, 48, 240)(26, 218, 52, 244)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 60, 252)(32, 224, 63, 255)(34, 226, 51, 243)(35, 227, 68, 260)(36, 228, 49, 241)(38, 230, 73, 265)(40, 232, 58, 250)(42, 234, 78, 270)(43, 235, 55, 247)(44, 236, 81, 273)(47, 239, 87, 279)(50, 242, 92, 284)(53, 245, 97, 289)(57, 249, 102, 294)(59, 251, 105, 297)(61, 253, 101, 293)(62, 254, 90, 282)(64, 256, 112, 304)(65, 257, 89, 281)(66, 258, 86, 278)(67, 259, 115, 307)(69, 261, 93, 285)(70, 262, 104, 296)(71, 263, 118, 310)(72, 264, 110, 302)(74, 266, 100, 292)(75, 267, 109, 301)(76, 268, 98, 290)(77, 269, 85, 277)(79, 271, 126, 318)(80, 272, 94, 286)(82, 274, 106, 298)(83, 275, 124, 316)(84, 276, 129, 321)(88, 280, 134, 326)(91, 283, 137, 329)(95, 287, 140, 332)(96, 288, 132, 324)(99, 291, 131, 323)(103, 295, 148, 340)(107, 299, 146, 338)(108, 300, 151, 343)(111, 303, 155, 347)(113, 305, 158, 350)(114, 306, 138, 330)(116, 308, 136, 328)(117, 309, 152, 344)(119, 311, 150, 342)(120, 312, 164, 356)(121, 313, 161, 353)(122, 314, 149, 341)(123, 315, 166, 358)(125, 317, 165, 357)(127, 319, 144, 336)(128, 320, 141, 333)(130, 322, 139, 331)(133, 325, 172, 364)(135, 327, 175, 367)(142, 334, 181, 373)(143, 335, 178, 370)(145, 337, 183, 375)(147, 339, 182, 374)(153, 345, 185, 377)(154, 346, 171, 363)(156, 348, 173, 365)(157, 349, 177, 369)(159, 351, 179, 371)(160, 352, 174, 366)(162, 354, 176, 368)(163, 355, 189, 381)(167, 359, 184, 376)(168, 360, 170, 362)(169, 361, 187, 379)(180, 372, 192, 384)(186, 378, 190, 382)(188, 380, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 422, 614, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 437, 629, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 416, 608, 448, 640, 497, 689, 451, 643, 418, 610, 400, 592)(393, 585, 403, 595, 424, 616, 459, 651, 507, 699, 463, 655, 426, 618, 404, 596)(395, 587, 407, 599, 431, 623, 472, 664, 519, 711, 475, 667, 433, 625, 408, 600)(397, 589, 411, 603, 439, 631, 483, 675, 529, 721, 487, 679, 441, 633, 412, 604)(401, 593, 419, 611, 453, 645, 501, 693, 531, 723, 486, 678, 454, 646, 420, 612)(405, 597, 427, 619, 464, 656, 471, 663, 517, 709, 512, 704, 466, 658, 428, 620)(409, 601, 434, 626, 477, 669, 523, 715, 509, 701, 462, 654, 478, 670, 435, 627)(413, 605, 442, 634, 488, 680, 447, 639, 495, 687, 534, 726, 490, 682, 443, 635)(415, 607, 445, 637, 493, 685, 537, 729, 571, 763, 538, 730, 494, 686, 446, 638)(417, 609, 449, 641, 423, 615, 458, 650, 506, 698, 543, 735, 498, 690, 450, 642)(421, 613, 455, 647, 503, 695, 547, 739, 562, 754, 522, 714, 476, 668, 456, 648)(425, 617, 460, 652, 508, 700, 551, 743, 573, 765, 544, 736, 499, 691, 461, 653)(429, 621, 467, 659, 489, 681, 533, 725, 565, 757, 553, 745, 514, 706, 468, 660)(430, 622, 469, 661, 515, 707, 554, 746, 574, 766, 555, 747, 516, 708, 470, 662)(432, 624, 473, 665, 438, 630, 482, 674, 528, 720, 560, 752, 520, 712, 474, 666)(436, 628, 479, 671, 525, 717, 564, 756, 545, 737, 500, 692, 452, 644, 480, 672)(440, 632, 484, 676, 530, 722, 568, 760, 576, 768, 561, 753, 521, 713, 485, 677)(444, 636, 491, 683, 465, 657, 511, 703, 548, 740, 570, 762, 536, 728, 492, 684)(457, 649, 504, 696, 549, 741, 567, 759, 575, 767, 559, 751, 539, 731, 505, 697)(481, 673, 526, 718, 566, 758, 550, 742, 572, 764, 542, 734, 556, 748, 527, 719)(496, 688, 540, 732, 510, 702, 552, 744, 513, 705, 546, 738, 502, 694, 541, 733)(518, 710, 557, 749, 532, 724, 569, 761, 535, 727, 563, 755, 524, 716, 558, 750)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 415)(16, 417)(17, 392)(18, 421)(19, 423)(20, 425)(21, 394)(22, 429)(23, 430)(24, 432)(25, 396)(26, 436)(27, 438)(28, 440)(29, 398)(30, 444)(31, 399)(32, 447)(33, 400)(34, 435)(35, 452)(36, 433)(37, 402)(38, 457)(39, 403)(40, 442)(41, 404)(42, 462)(43, 439)(44, 465)(45, 406)(46, 407)(47, 471)(48, 408)(49, 420)(50, 476)(51, 418)(52, 410)(53, 481)(54, 411)(55, 427)(56, 412)(57, 486)(58, 424)(59, 489)(60, 414)(61, 485)(62, 474)(63, 416)(64, 496)(65, 473)(66, 470)(67, 499)(68, 419)(69, 477)(70, 488)(71, 502)(72, 494)(73, 422)(74, 484)(75, 493)(76, 482)(77, 469)(78, 426)(79, 510)(80, 478)(81, 428)(82, 490)(83, 508)(84, 513)(85, 461)(86, 450)(87, 431)(88, 518)(89, 449)(90, 446)(91, 521)(92, 434)(93, 453)(94, 464)(95, 524)(96, 516)(97, 437)(98, 460)(99, 515)(100, 458)(101, 445)(102, 441)(103, 532)(104, 454)(105, 443)(106, 466)(107, 530)(108, 535)(109, 459)(110, 456)(111, 539)(112, 448)(113, 542)(114, 522)(115, 451)(116, 520)(117, 536)(118, 455)(119, 534)(120, 548)(121, 545)(122, 533)(123, 550)(124, 467)(125, 549)(126, 463)(127, 528)(128, 525)(129, 468)(130, 523)(131, 483)(132, 480)(133, 556)(134, 472)(135, 559)(136, 500)(137, 475)(138, 498)(139, 514)(140, 479)(141, 512)(142, 565)(143, 562)(144, 511)(145, 567)(146, 491)(147, 566)(148, 487)(149, 506)(150, 503)(151, 492)(152, 501)(153, 569)(154, 555)(155, 495)(156, 557)(157, 561)(158, 497)(159, 563)(160, 558)(161, 505)(162, 560)(163, 573)(164, 504)(165, 509)(166, 507)(167, 568)(168, 554)(169, 571)(170, 552)(171, 538)(172, 517)(173, 540)(174, 544)(175, 519)(176, 546)(177, 541)(178, 527)(179, 543)(180, 576)(181, 526)(182, 531)(183, 529)(184, 551)(185, 537)(186, 574)(187, 553)(188, 575)(189, 547)(190, 570)(191, 572)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 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 E21.2972
Graph:: bipartite
	v = 120 e = 384 f = 224
	degree seq :: [ 4^96, 16^24 ]

E21.2972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y3^8, Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-3 * Y3, Y1^-1 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1^2 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^2 * Y1^3, (Y3^2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 55, 247, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 49, 241, 20, 212, 7, 199)(8, 200, 21, 213, 50, 242, 98, 290, 42, 234, 17, 209)(10, 202, 25, 217, 60, 252, 93, 285, 66, 258, 27, 219)(12, 204, 30, 222, 71, 263, 140, 332, 77, 269, 32, 224)(15, 207, 37, 229, 86, 278, 90, 282, 83, 275, 35, 227)(18, 210, 43, 235, 99, 291, 153, 345, 91, 283, 39, 231)(19, 211, 45, 237, 104, 296, 72, 264, 110, 302, 47, 239)(22, 214, 53, 245, 121, 313, 78, 270, 118, 310, 51, 243)(24, 216, 58, 250, 96, 288, 41, 233, 94, 286, 56, 248)(26, 218, 62, 254, 132, 324, 178, 370, 135, 327, 64, 256)(28, 220, 67, 259, 139, 331, 182, 374, 142, 334, 69, 261)(31, 223, 73, 265, 100, 292, 44, 236, 102, 294, 75, 267)(33, 225, 40, 232, 92, 284, 154, 346, 148, 340, 79, 271)(36, 228, 84, 276, 134, 326, 162, 354, 97, 289, 80, 272)(38, 230, 89, 281, 150, 342, 159, 351, 95, 287, 87, 279)(46, 238, 106, 298, 59, 251, 130, 322, 171, 363, 108, 300)(48, 240, 111, 303, 57, 249, 127, 319, 174, 366, 113, 305)(52, 244, 119, 311, 170, 362, 187, 379, 152, 344, 115, 307)(54, 246, 124, 316, 176, 368, 186, 378, 151, 343, 122, 314)(61, 253, 117, 309, 82, 274, 126, 318, 157, 349, 105, 297)(63, 255, 133, 325, 181, 373, 185, 377, 163, 355, 116, 308)(65, 257, 136, 328, 161, 353, 149, 341, 88, 280, 120, 312)(68, 260, 109, 301, 172, 364, 128, 320, 175, 367, 123, 315)(70, 262, 125, 317, 177, 369, 188, 380, 165, 357, 107, 299)(74, 266, 138, 330, 156, 348, 191, 383, 173, 365, 143, 335)(76, 268, 145, 337, 155, 347, 190, 382, 179, 371, 137, 329)(81, 273, 131, 323, 180, 372, 189, 381, 158, 350, 114, 306)(85, 277, 144, 336, 168, 360, 112, 304, 160, 352, 129, 321)(101, 293, 166, 358, 192, 384, 184, 376, 147, 339, 164, 356)(103, 295, 169, 361, 141, 333, 183, 375, 146, 338, 167, 359)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 415)(13, 417)(14, 419)(15, 389)(16, 423)(17, 425)(18, 390)(19, 430)(20, 432)(21, 435)(22, 392)(23, 440)(24, 393)(25, 395)(26, 447)(27, 449)(28, 452)(29, 454)(30, 397)(31, 458)(32, 460)(33, 462)(34, 464)(35, 466)(36, 398)(37, 471)(38, 399)(39, 474)(40, 400)(41, 479)(42, 481)(43, 484)(44, 402)(45, 404)(46, 491)(47, 493)(48, 496)(49, 498)(50, 499)(51, 501)(52, 405)(53, 506)(54, 406)(55, 495)(56, 510)(57, 407)(58, 490)(59, 408)(60, 489)(61, 409)(62, 411)(63, 422)(64, 518)(65, 521)(66, 522)(67, 413)(68, 485)(69, 525)(70, 492)(71, 488)(72, 414)(73, 416)(74, 515)(75, 528)(76, 504)(77, 517)(78, 530)(79, 531)(80, 482)(81, 418)(82, 502)(83, 475)(84, 513)(85, 420)(86, 533)(87, 480)(88, 421)(89, 500)(90, 535)(91, 536)(92, 444)(93, 424)(94, 426)(95, 542)(96, 544)(97, 545)(98, 547)(99, 548)(100, 445)(101, 427)(102, 551)(103, 428)(104, 541)(105, 429)(106, 431)(107, 438)(108, 554)(109, 453)(110, 446)(111, 433)(112, 539)(113, 557)(114, 543)(115, 537)(116, 434)(117, 457)(118, 463)(119, 472)(120, 436)(121, 559)(122, 470)(123, 437)(124, 549)(125, 439)(126, 467)(127, 556)(128, 441)(129, 442)(130, 465)(131, 443)(132, 456)(133, 448)(134, 553)(135, 550)(136, 450)(137, 560)(138, 459)(139, 455)(140, 451)(141, 468)(142, 473)(143, 558)(144, 568)(145, 461)(146, 561)(147, 469)(148, 564)(149, 546)(150, 566)(151, 569)(152, 512)(153, 572)(154, 529)(155, 476)(156, 477)(157, 478)(158, 487)(159, 576)(160, 497)(161, 523)(162, 519)(163, 570)(164, 532)(165, 483)(166, 507)(167, 505)(168, 486)(169, 573)(170, 575)(171, 574)(172, 494)(173, 503)(174, 508)(175, 571)(176, 511)(177, 516)(178, 509)(179, 514)(180, 527)(181, 524)(182, 520)(183, 526)(184, 534)(185, 540)(186, 563)(187, 555)(188, 567)(189, 538)(190, 552)(191, 565)(192, 562)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2971
Graph:: simple bipartite
	v = 224 e = 384 f = 120
	degree seq :: [ 2^192, 12^32 ]

E21.2973 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-2 * T2 * T1^-1 * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1)^6, (T1^3 * T2)^3, (T2 * T1^3 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 98, 60, 30, 14)(9, 19, 39, 74, 123, 79, 42, 20)(12, 25, 49, 91, 143, 97, 52, 26)(16, 33, 65, 114, 163, 117, 68, 34)(17, 35, 69, 118, 145, 93, 50, 36)(21, 43, 80, 128, 151, 99, 82, 44)(24, 47, 87, 73, 122, 142, 90, 48)(28, 55, 41, 78, 127, 153, 103, 56)(29, 57, 104, 154, 176, 138, 88, 58)(32, 63, 105, 144, 172, 141, 113, 64)(37, 72, 121, 168, 175, 152, 100, 54)(40, 76, 126, 162, 188, 167, 119, 77)(45, 83, 131, 149, 111, 62, 110, 84)(46, 85, 133, 108, 156, 124, 136, 86)(51, 94, 146, 180, 190, 173, 134, 95)(59, 107, 155, 129, 159, 116, 67, 92)(66, 101, 71, 106, 147, 178, 164, 115)(70, 102, 137, 96, 148, 125, 75, 120)(81, 130, 135, 174, 191, 187, 161, 112)(89, 139, 177, 192, 189, 171, 132, 140)(109, 157, 179, 165, 186, 166, 183, 158)(150, 181, 169, 184, 160, 185, 170, 182)
	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, 73)(39, 75)(42, 63)(43, 81)(44, 65)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 101)(56, 102)(57, 105)(58, 106)(60, 108)(61, 109)(64, 112)(68, 104)(69, 119)(72, 94)(74, 124)(76, 115)(77, 100)(78, 116)(79, 91)(80, 129)(82, 120)(83, 132)(84, 126)(85, 134)(86, 135)(87, 137)(90, 141)(93, 144)(95, 147)(97, 149)(98, 150)(103, 146)(107, 139)(110, 159)(111, 160)(113, 162)(114, 152)(117, 165)(118, 166)(121, 138)(122, 169)(123, 170)(125, 171)(127, 161)(128, 142)(130, 164)(131, 168)(133, 172)(136, 175)(140, 178)(143, 179)(145, 177)(148, 174)(151, 183)(153, 184)(154, 185)(155, 173)(156, 186)(157, 187)(158, 180)(163, 189)(167, 181)(176, 191)(182, 192)(188, 190)
	local type(s) :: { ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2974
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 24 e = 96 f = 32
	degree seq :: [ 8^24 ]

E21.2974 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 8})
Quotient :: regular
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, T1^-2 * T2 * T1^3 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2 ]
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, 100, 76, 103, 73)(49, 74, 99, 71, 67, 75)(51, 77, 82, 69, 96, 78)(52, 79, 98, 70, 97, 80)(64, 90, 119, 93, 122, 91)(65, 83, 110, 89, 86, 92)(68, 94, 118, 88, 117, 95)(81, 108, 114, 85, 113, 109)(84, 111, 116, 87, 115, 112)(101, 131, 163, 134, 148, 132)(102, 106, 139, 130, 127, 133)(104, 135, 162, 129, 161, 136)(105, 137, 160, 126, 159, 138)(107, 140, 154, 128, 152, 120)(121, 124, 157, 151, 149, 153)(123, 155, 174, 143, 173, 156)(125, 158, 141, 150, 176, 145)(142, 144, 175, 146, 147, 172)(164, 166, 189, 187, 185, 180)(165, 188, 181, 170, 190, 178)(167, 182, 168, 186, 192, 183)(169, 171, 191, 184, 177, 179)
	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, 81)(54, 82)(55, 83)(56, 84)(57, 85)(58, 78)(59, 86)(60, 87)(61, 74)(62, 88)(63, 89)(66, 93)(72, 101)(73, 102)(75, 104)(77, 105)(79, 106)(80, 107)(90, 120)(91, 121)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(103, 134)(108, 141)(109, 142)(110, 143)(111, 144)(112, 131)(113, 145)(114, 146)(115, 147)(116, 148)(117, 149)(118, 150)(119, 151)(122, 154)(132, 164)(133, 165)(135, 166)(136, 167)(137, 168)(138, 169)(139, 170)(140, 171)(152, 177)(153, 178)(155, 179)(156, 180)(157, 181)(158, 182)(159, 183)(160, 184)(161, 185)(162, 186)(163, 187)(172, 188)(173, 191)(174, 189)(175, 190)(176, 192)
	local type(s) :: { ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2973
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 32 e = 96 f = 24
	degree seq :: [ 6^32 ]

E21.2975 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1, (T2^-1 * T1)^8, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
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, 70, 50, 72, 46)(31, 48, 74, 47, 73, 49)(35, 53, 78, 51, 77, 54)(36, 55, 80, 52, 79, 56)(37, 57, 86, 62, 88, 58)(39, 60, 89, 59, 75, 61)(43, 65, 82, 63, 91, 66)(44, 67, 93, 64, 92, 68)(69, 97, 129, 101, 131, 98)(71, 83, 110, 99, 106, 100)(76, 103, 134, 102, 133, 104)(81, 108, 138, 105, 137, 109)(84, 111, 140, 107, 139, 112)(85, 113, 145, 117, 147, 114)(87, 95, 126, 115, 122, 116)(90, 119, 150, 118, 149, 120)(94, 124, 154, 121, 153, 125)(96, 127, 156, 123, 155, 128)(130, 135, 167, 161, 165, 162)(132, 163, 174, 143, 173, 164)(136, 168, 141, 166, 191, 169)(142, 144, 175, 170, 171, 172)(146, 151, 182, 176, 180, 177)(148, 178, 189, 159, 188, 179)(152, 183, 157, 181, 192, 184)(158, 160, 190, 185, 186, 187)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 217)(211, 227)(212, 228)(214, 229)(215, 231)(218, 235)(219, 236)(222, 239)(224, 242)(225, 243)(226, 244)(230, 251)(232, 254)(233, 255)(234, 256)(237, 261)(238, 263)(240, 267)(241, 268)(245, 273)(246, 274)(247, 275)(248, 276)(249, 277)(250, 279)(252, 265)(253, 282)(257, 286)(258, 270)(259, 287)(260, 288)(262, 291)(264, 293)(266, 294)(269, 297)(271, 298)(272, 299)(278, 307)(280, 309)(281, 310)(283, 313)(284, 314)(285, 315)(289, 320)(290, 322)(292, 324)(295, 327)(296, 328)(300, 333)(301, 334)(302, 335)(303, 336)(304, 305)(306, 338)(308, 340)(311, 343)(312, 344)(316, 349)(317, 350)(318, 351)(319, 352)(321, 353)(323, 348)(325, 357)(326, 358)(329, 361)(330, 362)(331, 363)(332, 339)(337, 368)(341, 372)(342, 373)(345, 376)(346, 377)(347, 378)(354, 371)(355, 379)(356, 369)(359, 381)(360, 375)(364, 370)(365, 382)(366, 374)(367, 380)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 16, 16 ), ( 16^6 ) }
Outer automorphisms :: reflexible
Dual of E21.2979
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 2^96, 6^32 ]

E21.2976 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1)^2, T1^6, (T1 * T2^-1 * T1)^2, T2^8, (T2^2 * T1^-1)^3, T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T1^-1 * T2^-3 * T1^3 * T2^3 * T1^-2, T2^-1 * T1 * T2^-3 * T1^2 * T2^-2 * T1 * T2^2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 35, 15, 5)(2, 7, 19, 42, 81, 48, 22, 8)(4, 12, 30, 61, 95, 52, 24, 9)(6, 17, 38, 73, 121, 77, 40, 18)(11, 28, 59, 105, 146, 99, 54, 25)(13, 31, 63, 109, 155, 106, 60, 29)(14, 32, 64, 111, 159, 114, 66, 33)(16, 36, 70, 118, 166, 119, 71, 37)(20, 44, 84, 131, 170, 126, 79, 41)(21, 45, 85, 132, 177, 134, 87, 46)(23, 49, 90, 138, 179, 139, 91, 50)(27, 58, 47, 88, 135, 150, 101, 55)(34, 67, 115, 164, 156, 107, 62, 68)(39, 75, 98, 144, 185, 158, 112, 72)(43, 83, 76, 123, 149, 172, 128, 80)(51, 92, 140, 181, 165, 125, 78, 93)(53, 96, 86, 133, 178, 184, 143, 97)(57, 104, 94, 141, 182, 160, 152, 102)(65, 113, 161, 189, 167, 120, 74, 110)(69, 103, 153, 145, 174, 129, 82, 117)(89, 130, 175, 154, 188, 168, 122, 137)(100, 147, 124, 169, 191, 176, 186, 148)(108, 157, 136, 173, 190, 162, 183, 142)(116, 151, 187, 180, 192, 171, 127, 163)(193, 194, 198, 208, 205, 196)(195, 201, 215, 228, 210, 203)(197, 206, 223, 229, 212, 199)(200, 213, 204, 221, 231, 209)(202, 217, 245, 262, 242, 219)(207, 226, 236, 263, 257, 224)(211, 233, 270, 255, 225, 235)(214, 239, 267, 252, 278, 237)(216, 243, 220, 232, 268, 241)(218, 247, 292, 310, 289, 249)(222, 238, 266, 230, 264, 254)(227, 261, 305, 311, 308, 259)(234, 272, 319, 301, 317, 274)(240, 281, 325, 298, 328, 280)(244, 286, 315, 269, 316, 284)(246, 290, 250, 283, 277, 288)(248, 294, 343, 358, 340, 295)(251, 285, 271, 282, 275, 258)(253, 299, 314, 265, 312, 300)(256, 302, 279, 276, 260, 304)(273, 321, 365, 347, 363, 322)(287, 334, 361, 313, 360, 333)(291, 337, 324, 331, 372, 336)(293, 341, 296, 335, 332, 339)(297, 306, 354, 330, 318, 346)(303, 350, 368, 323, 326, 352)(307, 355, 320, 353, 309, 357)(327, 349, 359, 370, 329, 348)(338, 367, 384, 371, 382, 366)(342, 356, 373, 376, 381, 364)(344, 369, 345, 378, 377, 379)(351, 374, 380, 362, 383, 375)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^6 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2980
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 6^32, 8^24 ]

E21.2977 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 8})
Quotient :: edge
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1)^6, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T1^3 * T2)^3, (T2 * T1^3 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 66)(34, 67)(35, 70)(36, 71)(38, 73)(39, 75)(42, 63)(43, 81)(44, 65)(47, 88)(48, 89)(49, 92)(52, 96)(53, 99)(55, 101)(56, 102)(57, 105)(58, 106)(60, 108)(61, 109)(64, 112)(68, 104)(69, 119)(72, 94)(74, 124)(76, 115)(77, 100)(78, 116)(79, 91)(80, 129)(82, 120)(83, 132)(84, 126)(85, 134)(86, 135)(87, 137)(90, 141)(93, 144)(95, 147)(97, 149)(98, 150)(103, 146)(107, 139)(110, 159)(111, 160)(113, 162)(114, 152)(117, 165)(118, 166)(121, 138)(122, 169)(123, 170)(125, 171)(127, 161)(128, 142)(130, 164)(131, 168)(133, 172)(136, 175)(140, 178)(143, 179)(145, 177)(148, 174)(151, 183)(153, 184)(154, 185)(155, 173)(156, 186)(157, 187)(158, 180)(163, 189)(167, 181)(176, 191)(182, 192)(188, 190)(193, 194, 197, 203, 215, 214, 202, 196)(195, 199, 207, 223, 253, 230, 210, 200)(198, 205, 219, 245, 290, 252, 222, 206)(201, 211, 231, 266, 315, 271, 234, 212)(204, 217, 241, 283, 335, 289, 244, 218)(208, 225, 257, 306, 355, 309, 260, 226)(209, 227, 261, 310, 337, 285, 242, 228)(213, 235, 272, 320, 343, 291, 274, 236)(216, 239, 279, 265, 314, 334, 282, 240)(220, 247, 233, 270, 319, 345, 295, 248)(221, 249, 296, 346, 368, 330, 280, 250)(224, 255, 297, 336, 364, 333, 305, 256)(229, 264, 313, 360, 367, 344, 292, 246)(232, 268, 318, 354, 380, 359, 311, 269)(237, 275, 323, 341, 303, 254, 302, 276)(238, 277, 325, 300, 348, 316, 328, 278)(243, 286, 338, 372, 382, 365, 326, 287)(251, 299, 347, 321, 351, 308, 259, 284)(258, 293, 263, 298, 339, 370, 356, 307)(262, 294, 329, 288, 340, 317, 267, 312)(273, 322, 327, 366, 383, 379, 353, 304)(281, 331, 369, 384, 381, 363, 324, 332)(301, 349, 371, 357, 378, 358, 375, 350)(342, 373, 361, 376, 352, 377, 362, 374)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 12 ), ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E21.2978
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 192 f = 32
	degree seq :: [ 2^96, 8^24 ]

E21.2978 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1, (T2^-1 * T1)^8, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 21, 213, 32, 224, 16, 208)(9, 201, 19, 211, 34, 226, 17, 209, 33, 225, 20, 212)(11, 203, 22, 214, 38, 230, 28, 220, 40, 232, 23, 215)(13, 205, 26, 218, 42, 234, 24, 216, 41, 233, 27, 219)(29, 221, 45, 237, 70, 262, 50, 242, 72, 264, 46, 238)(31, 223, 48, 240, 74, 266, 47, 239, 73, 265, 49, 241)(35, 227, 53, 245, 78, 270, 51, 243, 77, 269, 54, 246)(36, 228, 55, 247, 80, 272, 52, 244, 79, 271, 56, 248)(37, 229, 57, 249, 86, 278, 62, 254, 88, 280, 58, 250)(39, 231, 60, 252, 89, 281, 59, 251, 75, 267, 61, 253)(43, 235, 65, 257, 82, 274, 63, 255, 91, 283, 66, 258)(44, 236, 67, 259, 93, 285, 64, 256, 92, 284, 68, 260)(69, 261, 97, 289, 129, 321, 101, 293, 131, 323, 98, 290)(71, 263, 83, 275, 110, 302, 99, 291, 106, 298, 100, 292)(76, 268, 103, 295, 134, 326, 102, 294, 133, 325, 104, 296)(81, 273, 108, 300, 138, 330, 105, 297, 137, 329, 109, 301)(84, 276, 111, 303, 140, 332, 107, 299, 139, 331, 112, 304)(85, 277, 113, 305, 145, 337, 117, 309, 147, 339, 114, 306)(87, 279, 95, 287, 126, 318, 115, 307, 122, 314, 116, 308)(90, 282, 119, 311, 150, 342, 118, 310, 149, 341, 120, 312)(94, 286, 124, 316, 154, 346, 121, 313, 153, 345, 125, 317)(96, 288, 127, 319, 156, 348, 123, 315, 155, 347, 128, 320)(130, 322, 135, 327, 167, 359, 161, 353, 165, 357, 162, 354)(132, 324, 163, 355, 174, 366, 143, 335, 173, 365, 164, 356)(136, 328, 168, 360, 141, 333, 166, 358, 191, 383, 169, 361)(142, 334, 144, 336, 175, 367, 170, 362, 171, 363, 172, 364)(146, 338, 151, 343, 182, 374, 176, 368, 180, 372, 177, 369)(148, 340, 178, 370, 189, 381, 159, 351, 188, 380, 179, 371)(152, 344, 183, 375, 157, 349, 181, 373, 192, 384, 184, 376)(158, 350, 160, 352, 190, 382, 185, 377, 186, 378, 187, 379)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 217)(19, 227)(20, 228)(21, 202)(22, 229)(23, 231)(24, 204)(25, 210)(26, 235)(27, 236)(28, 206)(29, 207)(30, 239)(31, 208)(32, 242)(33, 243)(34, 244)(35, 211)(36, 212)(37, 214)(38, 251)(39, 215)(40, 254)(41, 255)(42, 256)(43, 218)(44, 219)(45, 261)(46, 263)(47, 222)(48, 267)(49, 268)(50, 224)(51, 225)(52, 226)(53, 273)(54, 274)(55, 275)(56, 276)(57, 277)(58, 279)(59, 230)(60, 265)(61, 282)(62, 232)(63, 233)(64, 234)(65, 286)(66, 270)(67, 287)(68, 288)(69, 237)(70, 291)(71, 238)(72, 293)(73, 252)(74, 294)(75, 240)(76, 241)(77, 297)(78, 258)(79, 298)(80, 299)(81, 245)(82, 246)(83, 247)(84, 248)(85, 249)(86, 307)(87, 250)(88, 309)(89, 310)(90, 253)(91, 313)(92, 314)(93, 315)(94, 257)(95, 259)(96, 260)(97, 320)(98, 322)(99, 262)(100, 324)(101, 264)(102, 266)(103, 327)(104, 328)(105, 269)(106, 271)(107, 272)(108, 333)(109, 334)(110, 335)(111, 336)(112, 305)(113, 304)(114, 338)(115, 278)(116, 340)(117, 280)(118, 281)(119, 343)(120, 344)(121, 283)(122, 284)(123, 285)(124, 349)(125, 350)(126, 351)(127, 352)(128, 289)(129, 353)(130, 290)(131, 348)(132, 292)(133, 357)(134, 358)(135, 295)(136, 296)(137, 361)(138, 362)(139, 363)(140, 339)(141, 300)(142, 301)(143, 302)(144, 303)(145, 368)(146, 306)(147, 332)(148, 308)(149, 372)(150, 373)(151, 311)(152, 312)(153, 376)(154, 377)(155, 378)(156, 323)(157, 316)(158, 317)(159, 318)(160, 319)(161, 321)(162, 371)(163, 379)(164, 369)(165, 325)(166, 326)(167, 381)(168, 375)(169, 329)(170, 330)(171, 331)(172, 370)(173, 382)(174, 374)(175, 380)(176, 337)(177, 356)(178, 364)(179, 354)(180, 341)(181, 342)(182, 366)(183, 360)(184, 345)(185, 346)(186, 347)(187, 355)(188, 367)(189, 359)(190, 365)(191, 384)(192, 383)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2977
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 120
	degree seq :: [ 12^32 ]

E21.2979 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1)^2, T1^6, (T1 * T2^-1 * T1)^2, T2^8, (T2^2 * T1^-1)^3, T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T1^-1 * T2^-3 * T1^3 * T2^3 * T1^-2, T2^-1 * T1 * T2^-3 * T1^2 * T2^-2 * T1 * T2^2 * T1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 26, 218, 56, 248, 35, 227, 15, 207, 5, 197)(2, 194, 7, 199, 19, 211, 42, 234, 81, 273, 48, 240, 22, 214, 8, 200)(4, 196, 12, 204, 30, 222, 61, 253, 95, 287, 52, 244, 24, 216, 9, 201)(6, 198, 17, 209, 38, 230, 73, 265, 121, 313, 77, 269, 40, 232, 18, 210)(11, 203, 28, 220, 59, 251, 105, 297, 146, 338, 99, 291, 54, 246, 25, 217)(13, 205, 31, 223, 63, 255, 109, 301, 155, 347, 106, 298, 60, 252, 29, 221)(14, 206, 32, 224, 64, 256, 111, 303, 159, 351, 114, 306, 66, 258, 33, 225)(16, 208, 36, 228, 70, 262, 118, 310, 166, 358, 119, 311, 71, 263, 37, 229)(20, 212, 44, 236, 84, 276, 131, 323, 170, 362, 126, 318, 79, 271, 41, 233)(21, 213, 45, 237, 85, 277, 132, 324, 177, 369, 134, 326, 87, 279, 46, 238)(23, 215, 49, 241, 90, 282, 138, 330, 179, 371, 139, 331, 91, 283, 50, 242)(27, 219, 58, 250, 47, 239, 88, 280, 135, 327, 150, 342, 101, 293, 55, 247)(34, 226, 67, 259, 115, 307, 164, 356, 156, 348, 107, 299, 62, 254, 68, 260)(39, 231, 75, 267, 98, 290, 144, 336, 185, 377, 158, 350, 112, 304, 72, 264)(43, 235, 83, 275, 76, 268, 123, 315, 149, 341, 172, 364, 128, 320, 80, 272)(51, 243, 92, 284, 140, 332, 181, 373, 165, 357, 125, 317, 78, 270, 93, 285)(53, 245, 96, 288, 86, 278, 133, 325, 178, 370, 184, 376, 143, 335, 97, 289)(57, 249, 104, 296, 94, 286, 141, 333, 182, 374, 160, 352, 152, 344, 102, 294)(65, 257, 113, 305, 161, 353, 189, 381, 167, 359, 120, 312, 74, 266, 110, 302)(69, 261, 103, 295, 153, 345, 145, 337, 174, 366, 129, 321, 82, 274, 117, 309)(89, 281, 130, 322, 175, 367, 154, 346, 188, 380, 168, 360, 122, 314, 137, 329)(100, 292, 147, 339, 124, 316, 169, 361, 191, 383, 176, 368, 186, 378, 148, 340)(108, 300, 157, 349, 136, 328, 173, 365, 190, 382, 162, 354, 183, 375, 142, 334)(116, 308, 151, 343, 187, 379, 180, 372, 192, 384, 171, 363, 127, 319, 163, 355)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 206)(6, 208)(7, 197)(8, 213)(9, 215)(10, 217)(11, 195)(12, 221)(13, 196)(14, 223)(15, 226)(16, 205)(17, 200)(18, 203)(19, 233)(20, 199)(21, 204)(22, 239)(23, 228)(24, 243)(25, 245)(26, 247)(27, 202)(28, 232)(29, 231)(30, 238)(31, 229)(32, 207)(33, 235)(34, 236)(35, 261)(36, 210)(37, 212)(38, 264)(39, 209)(40, 268)(41, 270)(42, 272)(43, 211)(44, 263)(45, 214)(46, 266)(47, 267)(48, 281)(49, 216)(50, 219)(51, 220)(52, 286)(53, 262)(54, 290)(55, 292)(56, 294)(57, 218)(58, 283)(59, 285)(60, 278)(61, 299)(62, 222)(63, 225)(64, 302)(65, 224)(66, 251)(67, 227)(68, 304)(69, 305)(70, 242)(71, 257)(72, 254)(73, 312)(74, 230)(75, 252)(76, 241)(77, 316)(78, 255)(79, 282)(80, 319)(81, 321)(82, 234)(83, 258)(84, 260)(85, 288)(86, 237)(87, 276)(88, 240)(89, 325)(90, 275)(91, 277)(92, 244)(93, 271)(94, 315)(95, 334)(96, 246)(97, 249)(98, 250)(99, 337)(100, 310)(101, 341)(102, 343)(103, 248)(104, 335)(105, 306)(106, 328)(107, 314)(108, 253)(109, 317)(110, 279)(111, 350)(112, 256)(113, 311)(114, 354)(115, 355)(116, 259)(117, 357)(118, 289)(119, 308)(120, 300)(121, 360)(122, 265)(123, 269)(124, 284)(125, 274)(126, 346)(127, 301)(128, 353)(129, 365)(130, 273)(131, 326)(132, 331)(133, 298)(134, 352)(135, 349)(136, 280)(137, 348)(138, 318)(139, 372)(140, 339)(141, 287)(142, 361)(143, 332)(144, 291)(145, 324)(146, 367)(147, 293)(148, 295)(149, 296)(150, 356)(151, 358)(152, 369)(153, 378)(154, 297)(155, 363)(156, 327)(157, 359)(158, 368)(159, 374)(160, 303)(161, 309)(162, 330)(163, 320)(164, 373)(165, 307)(166, 340)(167, 370)(168, 333)(169, 313)(170, 383)(171, 322)(172, 342)(173, 347)(174, 338)(175, 384)(176, 323)(177, 345)(178, 329)(179, 382)(180, 336)(181, 376)(182, 380)(183, 351)(184, 381)(185, 379)(186, 377)(187, 344)(188, 362)(189, 364)(190, 366)(191, 375)(192, 371)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.2975
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.2980 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 8})
Quotient :: loop
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1)^6, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T1^3 * T2)^3, (T2 * T1^3 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 37, 229)(19, 211, 40, 232)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 59, 251)(31, 223, 62, 254)(33, 225, 66, 258)(34, 226, 67, 259)(35, 227, 70, 262)(36, 228, 71, 263)(38, 230, 73, 265)(39, 231, 75, 267)(42, 234, 63, 255)(43, 235, 81, 273)(44, 236, 65, 257)(47, 239, 88, 280)(48, 240, 89, 281)(49, 241, 92, 284)(52, 244, 96, 288)(53, 245, 99, 291)(55, 247, 101, 293)(56, 248, 102, 294)(57, 249, 105, 297)(58, 250, 106, 298)(60, 252, 108, 300)(61, 253, 109, 301)(64, 256, 112, 304)(68, 260, 104, 296)(69, 261, 119, 311)(72, 264, 94, 286)(74, 266, 124, 316)(76, 268, 115, 307)(77, 269, 100, 292)(78, 270, 116, 308)(79, 271, 91, 283)(80, 272, 129, 321)(82, 274, 120, 312)(83, 275, 132, 324)(84, 276, 126, 318)(85, 277, 134, 326)(86, 278, 135, 327)(87, 279, 137, 329)(90, 282, 141, 333)(93, 285, 144, 336)(95, 287, 147, 339)(97, 289, 149, 341)(98, 290, 150, 342)(103, 295, 146, 338)(107, 299, 139, 331)(110, 302, 159, 351)(111, 303, 160, 352)(113, 305, 162, 354)(114, 306, 152, 344)(117, 309, 165, 357)(118, 310, 166, 358)(121, 313, 138, 330)(122, 314, 169, 361)(123, 315, 170, 362)(125, 317, 171, 363)(127, 319, 161, 353)(128, 320, 142, 334)(130, 322, 164, 356)(131, 323, 168, 360)(133, 325, 172, 364)(136, 328, 175, 367)(140, 332, 178, 370)(143, 335, 179, 371)(145, 337, 177, 369)(148, 340, 174, 366)(151, 343, 183, 375)(153, 345, 184, 376)(154, 346, 185, 377)(155, 347, 173, 365)(156, 348, 186, 378)(157, 349, 187, 379)(158, 350, 180, 372)(163, 355, 189, 381)(167, 359, 181, 373)(176, 368, 191, 383)(182, 374, 192, 384)(188, 380, 190, 382)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 231)(20, 201)(21, 235)(22, 202)(23, 214)(24, 239)(25, 241)(26, 204)(27, 245)(28, 247)(29, 249)(30, 206)(31, 253)(32, 255)(33, 257)(34, 208)(35, 261)(36, 209)(37, 264)(38, 210)(39, 266)(40, 268)(41, 270)(42, 212)(43, 272)(44, 213)(45, 275)(46, 277)(47, 279)(48, 216)(49, 283)(50, 228)(51, 286)(52, 218)(53, 290)(54, 229)(55, 233)(56, 220)(57, 296)(58, 221)(59, 299)(60, 222)(61, 230)(62, 302)(63, 297)(64, 224)(65, 306)(66, 293)(67, 284)(68, 226)(69, 310)(70, 294)(71, 298)(72, 313)(73, 314)(74, 315)(75, 312)(76, 318)(77, 232)(78, 319)(79, 234)(80, 320)(81, 322)(82, 236)(83, 323)(84, 237)(85, 325)(86, 238)(87, 265)(88, 250)(89, 331)(90, 240)(91, 335)(92, 251)(93, 242)(94, 338)(95, 243)(96, 340)(97, 244)(98, 252)(99, 274)(100, 246)(101, 263)(102, 329)(103, 248)(104, 346)(105, 336)(106, 339)(107, 347)(108, 348)(109, 349)(110, 276)(111, 254)(112, 273)(113, 256)(114, 355)(115, 258)(116, 259)(117, 260)(118, 337)(119, 269)(120, 262)(121, 360)(122, 334)(123, 271)(124, 328)(125, 267)(126, 354)(127, 345)(128, 343)(129, 351)(130, 327)(131, 341)(132, 332)(133, 300)(134, 287)(135, 366)(136, 278)(137, 288)(138, 280)(139, 369)(140, 281)(141, 305)(142, 282)(143, 289)(144, 364)(145, 285)(146, 372)(147, 370)(148, 317)(149, 303)(150, 373)(151, 291)(152, 292)(153, 295)(154, 368)(155, 321)(156, 316)(157, 371)(158, 301)(159, 308)(160, 377)(161, 304)(162, 380)(163, 309)(164, 307)(165, 378)(166, 375)(167, 311)(168, 367)(169, 376)(170, 374)(171, 324)(172, 333)(173, 326)(174, 383)(175, 344)(176, 330)(177, 384)(178, 356)(179, 357)(180, 382)(181, 361)(182, 342)(183, 350)(184, 352)(185, 362)(186, 358)(187, 353)(188, 359)(189, 363)(190, 365)(191, 379)(192, 381)
	local type(s) :: { ( 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.2976
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|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 * Y2^3 * Y1 * Y2^-2, (R * Y2^2 * Y1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^8, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 25, 217)(19, 211, 35, 227)(20, 212, 36, 228)(22, 214, 37, 229)(23, 215, 39, 231)(26, 218, 43, 235)(27, 219, 44, 236)(30, 222, 47, 239)(32, 224, 50, 242)(33, 225, 51, 243)(34, 226, 52, 244)(38, 230, 59, 251)(40, 232, 62, 254)(41, 233, 63, 255)(42, 234, 64, 256)(45, 237, 69, 261)(46, 238, 71, 263)(48, 240, 75, 267)(49, 241, 76, 268)(53, 245, 81, 273)(54, 246, 82, 274)(55, 247, 83, 275)(56, 248, 84, 276)(57, 249, 85, 277)(58, 250, 87, 279)(60, 252, 73, 265)(61, 253, 90, 282)(65, 257, 94, 286)(66, 258, 78, 270)(67, 259, 95, 287)(68, 260, 96, 288)(70, 262, 99, 291)(72, 264, 101, 293)(74, 266, 102, 294)(77, 269, 105, 297)(79, 271, 106, 298)(80, 272, 107, 299)(86, 278, 115, 307)(88, 280, 117, 309)(89, 281, 118, 310)(91, 283, 121, 313)(92, 284, 122, 314)(93, 285, 123, 315)(97, 289, 128, 320)(98, 290, 130, 322)(100, 292, 132, 324)(103, 295, 135, 327)(104, 296, 136, 328)(108, 300, 141, 333)(109, 301, 142, 334)(110, 302, 143, 335)(111, 303, 144, 336)(112, 304, 113, 305)(114, 306, 146, 338)(116, 308, 148, 340)(119, 311, 151, 343)(120, 312, 152, 344)(124, 316, 157, 349)(125, 317, 158, 350)(126, 318, 159, 351)(127, 319, 160, 352)(129, 321, 161, 353)(131, 323, 156, 348)(133, 325, 165, 357)(134, 326, 166, 358)(137, 329, 169, 361)(138, 330, 170, 362)(139, 331, 171, 363)(140, 332, 147, 339)(145, 337, 176, 368)(149, 341, 180, 372)(150, 342, 181, 373)(153, 345, 184, 376)(154, 346, 185, 377)(155, 347, 186, 378)(162, 354, 179, 371)(163, 355, 187, 379)(164, 356, 177, 369)(167, 359, 189, 381)(168, 360, 183, 375)(172, 364, 178, 370)(173, 365, 190, 382)(174, 366, 182, 374)(175, 367, 188, 380)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 405, 597, 416, 608, 400, 592)(393, 585, 403, 595, 418, 610, 401, 593, 417, 609, 404, 596)(395, 587, 406, 598, 422, 614, 412, 604, 424, 616, 407, 599)(397, 589, 410, 602, 426, 618, 408, 600, 425, 617, 411, 603)(413, 605, 429, 621, 454, 646, 434, 626, 456, 648, 430, 622)(415, 607, 432, 624, 458, 650, 431, 623, 457, 649, 433, 625)(419, 611, 437, 629, 462, 654, 435, 627, 461, 653, 438, 630)(420, 612, 439, 631, 464, 656, 436, 628, 463, 655, 440, 632)(421, 613, 441, 633, 470, 662, 446, 638, 472, 664, 442, 634)(423, 615, 444, 636, 473, 665, 443, 635, 459, 651, 445, 637)(427, 619, 449, 641, 466, 658, 447, 639, 475, 667, 450, 642)(428, 620, 451, 643, 477, 669, 448, 640, 476, 668, 452, 644)(453, 645, 481, 673, 513, 705, 485, 677, 515, 707, 482, 674)(455, 647, 467, 659, 494, 686, 483, 675, 490, 682, 484, 676)(460, 652, 487, 679, 518, 710, 486, 678, 517, 709, 488, 680)(465, 657, 492, 684, 522, 714, 489, 681, 521, 713, 493, 685)(468, 660, 495, 687, 524, 716, 491, 683, 523, 715, 496, 688)(469, 661, 497, 689, 529, 721, 501, 693, 531, 723, 498, 690)(471, 663, 479, 671, 510, 702, 499, 691, 506, 698, 500, 692)(474, 666, 503, 695, 534, 726, 502, 694, 533, 725, 504, 696)(478, 670, 508, 700, 538, 730, 505, 697, 537, 729, 509, 701)(480, 672, 511, 703, 540, 732, 507, 699, 539, 731, 512, 704)(514, 706, 519, 711, 551, 743, 545, 737, 549, 741, 546, 738)(516, 708, 547, 739, 558, 750, 527, 719, 557, 749, 548, 740)(520, 712, 552, 744, 525, 717, 550, 742, 575, 767, 553, 745)(526, 718, 528, 720, 559, 751, 554, 746, 555, 747, 556, 748)(530, 722, 535, 727, 566, 758, 560, 752, 564, 756, 561, 753)(532, 724, 562, 754, 573, 765, 543, 735, 572, 764, 563, 755)(536, 728, 567, 759, 541, 733, 565, 757, 576, 768, 568, 760)(542, 734, 544, 736, 574, 766, 569, 761, 570, 762, 571, 763)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 409)(19, 419)(20, 420)(21, 394)(22, 421)(23, 423)(24, 396)(25, 402)(26, 427)(27, 428)(28, 398)(29, 399)(30, 431)(31, 400)(32, 434)(33, 435)(34, 436)(35, 403)(36, 404)(37, 406)(38, 443)(39, 407)(40, 446)(41, 447)(42, 448)(43, 410)(44, 411)(45, 453)(46, 455)(47, 414)(48, 459)(49, 460)(50, 416)(51, 417)(52, 418)(53, 465)(54, 466)(55, 467)(56, 468)(57, 469)(58, 471)(59, 422)(60, 457)(61, 474)(62, 424)(63, 425)(64, 426)(65, 478)(66, 462)(67, 479)(68, 480)(69, 429)(70, 483)(71, 430)(72, 485)(73, 444)(74, 486)(75, 432)(76, 433)(77, 489)(78, 450)(79, 490)(80, 491)(81, 437)(82, 438)(83, 439)(84, 440)(85, 441)(86, 499)(87, 442)(88, 501)(89, 502)(90, 445)(91, 505)(92, 506)(93, 507)(94, 449)(95, 451)(96, 452)(97, 512)(98, 514)(99, 454)(100, 516)(101, 456)(102, 458)(103, 519)(104, 520)(105, 461)(106, 463)(107, 464)(108, 525)(109, 526)(110, 527)(111, 528)(112, 497)(113, 496)(114, 530)(115, 470)(116, 532)(117, 472)(118, 473)(119, 535)(120, 536)(121, 475)(122, 476)(123, 477)(124, 541)(125, 542)(126, 543)(127, 544)(128, 481)(129, 545)(130, 482)(131, 540)(132, 484)(133, 549)(134, 550)(135, 487)(136, 488)(137, 553)(138, 554)(139, 555)(140, 531)(141, 492)(142, 493)(143, 494)(144, 495)(145, 560)(146, 498)(147, 524)(148, 500)(149, 564)(150, 565)(151, 503)(152, 504)(153, 568)(154, 569)(155, 570)(156, 515)(157, 508)(158, 509)(159, 510)(160, 511)(161, 513)(162, 563)(163, 571)(164, 561)(165, 517)(166, 518)(167, 573)(168, 567)(169, 521)(170, 522)(171, 523)(172, 562)(173, 574)(174, 566)(175, 572)(176, 529)(177, 548)(178, 556)(179, 546)(180, 533)(181, 534)(182, 558)(183, 552)(184, 537)(185, 538)(186, 539)(187, 547)(188, 559)(189, 551)(190, 557)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2984
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 4^96, 12^32 ]

E21.2982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^6, (Y1 * Y2^-1 * Y1)^2, Y2^8, (Y1 * Y2^-2)^3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-3 * Y2^2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2, Y1^-1 * Y2^-3 * Y1^3 * Y2^3 * Y1^-2, Y2^-1 * Y1 * Y2^-3 * Y1^2 * Y2^-2 * Y1 * Y2^2 * Y1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 36, 228, 18, 210, 11, 203)(5, 197, 14, 206, 31, 223, 37, 229, 20, 212, 7, 199)(8, 200, 21, 213, 12, 204, 29, 221, 39, 231, 17, 209)(10, 202, 25, 217, 53, 245, 70, 262, 50, 242, 27, 219)(15, 207, 34, 226, 44, 236, 71, 263, 65, 257, 32, 224)(19, 211, 41, 233, 78, 270, 63, 255, 33, 225, 43, 235)(22, 214, 47, 239, 75, 267, 60, 252, 86, 278, 45, 237)(24, 216, 51, 243, 28, 220, 40, 232, 76, 268, 49, 241)(26, 218, 55, 247, 100, 292, 118, 310, 97, 289, 57, 249)(30, 222, 46, 238, 74, 266, 38, 230, 72, 264, 62, 254)(35, 227, 69, 261, 113, 305, 119, 311, 116, 308, 67, 259)(42, 234, 80, 272, 127, 319, 109, 301, 125, 317, 82, 274)(48, 240, 89, 281, 133, 325, 106, 298, 136, 328, 88, 280)(52, 244, 94, 286, 123, 315, 77, 269, 124, 316, 92, 284)(54, 246, 98, 290, 58, 250, 91, 283, 85, 277, 96, 288)(56, 248, 102, 294, 151, 343, 166, 358, 148, 340, 103, 295)(59, 251, 93, 285, 79, 271, 90, 282, 83, 275, 66, 258)(61, 253, 107, 299, 122, 314, 73, 265, 120, 312, 108, 300)(64, 256, 110, 302, 87, 279, 84, 276, 68, 260, 112, 304)(81, 273, 129, 321, 173, 365, 155, 347, 171, 363, 130, 322)(95, 287, 142, 334, 169, 361, 121, 313, 168, 360, 141, 333)(99, 291, 145, 337, 132, 324, 139, 331, 180, 372, 144, 336)(101, 293, 149, 341, 104, 296, 143, 335, 140, 332, 147, 339)(105, 297, 114, 306, 162, 354, 138, 330, 126, 318, 154, 346)(111, 303, 158, 350, 176, 368, 131, 323, 134, 326, 160, 352)(115, 307, 163, 355, 128, 320, 161, 353, 117, 309, 165, 357)(135, 327, 157, 349, 167, 359, 178, 370, 137, 329, 156, 348)(146, 338, 175, 367, 192, 384, 179, 371, 190, 382, 174, 366)(150, 342, 164, 356, 181, 373, 184, 376, 189, 381, 172, 364)(152, 344, 177, 369, 153, 345, 186, 378, 185, 377, 187, 379)(159, 351, 182, 374, 188, 380, 170, 362, 191, 383, 183, 375)(385, 577, 387, 579, 394, 586, 410, 602, 440, 632, 419, 611, 399, 591, 389, 581)(386, 578, 391, 583, 403, 595, 426, 618, 465, 657, 432, 624, 406, 598, 392, 584)(388, 580, 396, 588, 414, 606, 445, 637, 479, 671, 436, 628, 408, 600, 393, 585)(390, 582, 401, 593, 422, 614, 457, 649, 505, 697, 461, 653, 424, 616, 402, 594)(395, 587, 412, 604, 443, 635, 489, 681, 530, 722, 483, 675, 438, 630, 409, 601)(397, 589, 415, 607, 447, 639, 493, 685, 539, 731, 490, 682, 444, 636, 413, 605)(398, 590, 416, 608, 448, 640, 495, 687, 543, 735, 498, 690, 450, 642, 417, 609)(400, 592, 420, 612, 454, 646, 502, 694, 550, 742, 503, 695, 455, 647, 421, 613)(404, 596, 428, 620, 468, 660, 515, 707, 554, 746, 510, 702, 463, 655, 425, 617)(405, 597, 429, 621, 469, 661, 516, 708, 561, 753, 518, 710, 471, 663, 430, 622)(407, 599, 433, 625, 474, 666, 522, 714, 563, 755, 523, 715, 475, 667, 434, 626)(411, 603, 442, 634, 431, 623, 472, 664, 519, 711, 534, 726, 485, 677, 439, 631)(418, 610, 451, 643, 499, 691, 548, 740, 540, 732, 491, 683, 446, 638, 452, 644)(423, 615, 459, 651, 482, 674, 528, 720, 569, 761, 542, 734, 496, 688, 456, 648)(427, 619, 467, 659, 460, 652, 507, 699, 533, 725, 556, 748, 512, 704, 464, 656)(435, 627, 476, 668, 524, 716, 565, 757, 549, 741, 509, 701, 462, 654, 477, 669)(437, 629, 480, 672, 470, 662, 517, 709, 562, 754, 568, 760, 527, 719, 481, 673)(441, 633, 488, 680, 478, 670, 525, 717, 566, 758, 544, 736, 536, 728, 486, 678)(449, 641, 497, 689, 545, 737, 573, 765, 551, 743, 504, 696, 458, 650, 494, 686)(453, 645, 487, 679, 537, 729, 529, 721, 558, 750, 513, 705, 466, 658, 501, 693)(473, 665, 514, 706, 559, 751, 538, 730, 572, 764, 552, 744, 506, 698, 521, 713)(484, 676, 531, 723, 508, 700, 553, 745, 575, 767, 560, 752, 570, 762, 532, 724)(492, 684, 541, 733, 520, 712, 557, 749, 574, 766, 546, 738, 567, 759, 526, 718)(500, 692, 535, 727, 571, 763, 564, 756, 576, 768, 555, 747, 511, 703, 547, 739)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 414)(13, 415)(14, 416)(15, 389)(16, 420)(17, 422)(18, 390)(19, 426)(20, 428)(21, 429)(22, 392)(23, 433)(24, 393)(25, 395)(26, 440)(27, 442)(28, 443)(29, 397)(30, 445)(31, 447)(32, 448)(33, 398)(34, 451)(35, 399)(36, 454)(37, 400)(38, 457)(39, 459)(40, 402)(41, 404)(42, 465)(43, 467)(44, 468)(45, 469)(46, 405)(47, 472)(48, 406)(49, 474)(50, 407)(51, 476)(52, 408)(53, 480)(54, 409)(55, 411)(56, 419)(57, 488)(58, 431)(59, 489)(60, 413)(61, 479)(62, 452)(63, 493)(64, 495)(65, 497)(66, 417)(67, 499)(68, 418)(69, 487)(70, 502)(71, 421)(72, 423)(73, 505)(74, 494)(75, 482)(76, 507)(77, 424)(78, 477)(79, 425)(80, 427)(81, 432)(82, 501)(83, 460)(84, 515)(85, 516)(86, 517)(87, 430)(88, 519)(89, 514)(90, 522)(91, 434)(92, 524)(93, 435)(94, 525)(95, 436)(96, 470)(97, 437)(98, 528)(99, 438)(100, 531)(101, 439)(102, 441)(103, 537)(104, 478)(105, 530)(106, 444)(107, 446)(108, 541)(109, 539)(110, 449)(111, 543)(112, 456)(113, 545)(114, 450)(115, 548)(116, 535)(117, 453)(118, 550)(119, 455)(120, 458)(121, 461)(122, 521)(123, 533)(124, 553)(125, 462)(126, 463)(127, 547)(128, 464)(129, 466)(130, 559)(131, 554)(132, 561)(133, 562)(134, 471)(135, 534)(136, 557)(137, 473)(138, 563)(139, 475)(140, 565)(141, 566)(142, 492)(143, 481)(144, 569)(145, 558)(146, 483)(147, 508)(148, 484)(149, 556)(150, 485)(151, 571)(152, 486)(153, 529)(154, 572)(155, 490)(156, 491)(157, 520)(158, 496)(159, 498)(160, 536)(161, 573)(162, 567)(163, 500)(164, 540)(165, 509)(166, 503)(167, 504)(168, 506)(169, 575)(170, 510)(171, 511)(172, 512)(173, 574)(174, 513)(175, 538)(176, 570)(177, 518)(178, 568)(179, 523)(180, 576)(181, 549)(182, 544)(183, 526)(184, 527)(185, 542)(186, 532)(187, 564)(188, 552)(189, 551)(190, 546)(191, 560)(192, 555)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 E21.2983
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 12^32, 16^24 ]

E21.2983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y2 * Y3 * Y2 * Y3^2)^2, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2, (Y3^-1 * Y2)^6, (Y2 * Y3^3)^3, (Y3^2 * Y2 * Y3^-3 * Y2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 415, 607)(400, 592, 417, 609)(402, 594, 421, 613)(403, 595, 423, 615)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 430, 622)(408, 600, 432, 624)(410, 602, 436, 628)(411, 603, 438, 630)(412, 604, 440, 632)(414, 606, 444, 636)(416, 608, 443, 635)(418, 610, 450, 642)(419, 611, 441, 633)(420, 612, 453, 645)(422, 614, 457, 649)(424, 616, 460, 652)(426, 618, 434, 626)(427, 619, 464, 656)(428, 620, 431, 623)(433, 625, 474, 666)(435, 627, 477, 669)(437, 629, 481, 673)(439, 631, 484, 676)(442, 634, 488, 680)(445, 637, 469, 661)(446, 638, 482, 674)(447, 639, 494, 686)(448, 640, 476, 668)(449, 641, 486, 678)(451, 643, 498, 690)(452, 644, 472, 664)(454, 646, 501, 693)(455, 647, 496, 688)(456, 648, 503, 695)(458, 650, 470, 662)(459, 651, 490, 682)(461, 653, 509, 701)(462, 654, 473, 665)(463, 655, 499, 691)(465, 657, 513, 705)(466, 658, 483, 675)(467, 659, 515, 707)(468, 660, 507, 699)(471, 663, 518, 710)(475, 667, 522, 714)(478, 670, 525, 717)(479, 671, 520, 712)(480, 672, 527, 719)(485, 677, 533, 725)(487, 679, 523, 715)(489, 681, 537, 729)(491, 683, 539, 731)(492, 684, 531, 723)(493, 685, 536, 728)(495, 687, 543, 735)(497, 689, 544, 736)(500, 692, 535, 727)(502, 694, 528, 720)(504, 696, 526, 718)(505, 697, 549, 741)(506, 698, 552, 744)(508, 700, 554, 746)(510, 702, 555, 747)(511, 703, 524, 716)(512, 704, 517, 709)(514, 706, 540, 732)(516, 708, 538, 730)(519, 711, 558, 750)(521, 713, 559, 751)(529, 721, 564, 756)(530, 722, 567, 759)(532, 724, 569, 761)(534, 726, 570, 762)(541, 733, 566, 758)(542, 734, 568, 760)(545, 737, 572, 764)(546, 738, 561, 753)(547, 739, 563, 755)(548, 740, 562, 754)(550, 742, 573, 765)(551, 743, 556, 748)(553, 745, 557, 749)(560, 752, 575, 767)(565, 757, 576, 768)(571, 763, 574, 766)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 416)(16, 391)(17, 419)(18, 422)(19, 424)(20, 393)(21, 427)(22, 394)(23, 431)(24, 395)(25, 434)(26, 437)(27, 439)(28, 397)(29, 442)(30, 398)(31, 445)(32, 447)(33, 448)(34, 400)(35, 452)(36, 401)(37, 455)(38, 406)(39, 458)(40, 461)(41, 462)(42, 404)(43, 465)(44, 405)(45, 467)(46, 469)(47, 471)(48, 472)(49, 408)(50, 476)(51, 409)(52, 479)(53, 414)(54, 482)(55, 485)(56, 486)(57, 412)(58, 489)(59, 413)(60, 491)(61, 425)(62, 415)(63, 495)(64, 474)(65, 417)(66, 497)(67, 418)(68, 499)(69, 488)(70, 420)(71, 492)(72, 421)(73, 505)(74, 507)(75, 423)(76, 483)(77, 510)(78, 511)(79, 426)(80, 512)(81, 514)(82, 428)(83, 516)(84, 429)(85, 440)(86, 430)(87, 519)(88, 450)(89, 432)(90, 521)(91, 433)(92, 523)(93, 464)(94, 435)(95, 468)(96, 436)(97, 529)(98, 531)(99, 438)(100, 459)(101, 534)(102, 535)(103, 441)(104, 536)(105, 538)(106, 443)(107, 540)(108, 444)(109, 446)(110, 466)(111, 451)(112, 449)(113, 545)(114, 546)(115, 548)(116, 453)(117, 550)(118, 454)(119, 544)(120, 456)(121, 547)(122, 457)(123, 525)(124, 460)(125, 553)(126, 463)(127, 541)(128, 552)(129, 520)(130, 542)(131, 551)(132, 528)(133, 470)(134, 490)(135, 475)(136, 473)(137, 560)(138, 561)(139, 563)(140, 477)(141, 565)(142, 478)(143, 559)(144, 480)(145, 562)(146, 481)(147, 501)(148, 484)(149, 568)(150, 487)(151, 556)(152, 567)(153, 496)(154, 557)(155, 566)(156, 504)(157, 493)(158, 494)(159, 569)(160, 570)(161, 513)(162, 509)(163, 498)(164, 502)(165, 500)(166, 508)(167, 503)(168, 573)(169, 506)(170, 515)(171, 571)(172, 517)(173, 518)(174, 554)(175, 555)(176, 537)(177, 533)(178, 522)(179, 526)(180, 524)(181, 532)(182, 527)(183, 576)(184, 530)(185, 539)(186, 574)(187, 543)(188, 549)(189, 575)(190, 558)(191, 564)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2982
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.2984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^8, (Y3 * Y1^-2 * Y3 * Y1^-1)^2, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1, (Y3 * Y1)^6, (Y1^-2 * Y3 * Y1^-1)^3, (Y3 * Y1^2 * Y3 * Y1^-3)^2 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 61, 253, 38, 230, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 98, 290, 60, 252, 30, 222, 14, 206)(9, 201, 19, 211, 39, 231, 74, 266, 123, 315, 79, 271, 42, 234, 20, 212)(12, 204, 25, 217, 49, 241, 91, 283, 143, 335, 97, 289, 52, 244, 26, 218)(16, 208, 33, 225, 65, 257, 114, 306, 163, 355, 117, 309, 68, 260, 34, 226)(17, 209, 35, 227, 69, 261, 118, 310, 145, 337, 93, 285, 50, 242, 36, 228)(21, 213, 43, 235, 80, 272, 128, 320, 151, 343, 99, 291, 82, 274, 44, 236)(24, 216, 47, 239, 87, 279, 73, 265, 122, 314, 142, 334, 90, 282, 48, 240)(28, 220, 55, 247, 41, 233, 78, 270, 127, 319, 153, 345, 103, 295, 56, 248)(29, 221, 57, 249, 104, 296, 154, 346, 176, 368, 138, 330, 88, 280, 58, 250)(32, 224, 63, 255, 105, 297, 144, 336, 172, 364, 141, 333, 113, 305, 64, 256)(37, 229, 72, 264, 121, 313, 168, 360, 175, 367, 152, 344, 100, 292, 54, 246)(40, 232, 76, 268, 126, 318, 162, 354, 188, 380, 167, 359, 119, 311, 77, 269)(45, 237, 83, 275, 131, 323, 149, 341, 111, 303, 62, 254, 110, 302, 84, 276)(46, 238, 85, 277, 133, 325, 108, 300, 156, 348, 124, 316, 136, 328, 86, 278)(51, 243, 94, 286, 146, 338, 180, 372, 190, 382, 173, 365, 134, 326, 95, 287)(59, 251, 107, 299, 155, 347, 129, 321, 159, 351, 116, 308, 67, 259, 92, 284)(66, 258, 101, 293, 71, 263, 106, 298, 147, 339, 178, 370, 164, 356, 115, 307)(70, 262, 102, 294, 137, 329, 96, 288, 148, 340, 125, 317, 75, 267, 120, 312)(81, 273, 130, 322, 135, 327, 174, 366, 191, 383, 187, 379, 161, 353, 112, 304)(89, 281, 139, 331, 177, 369, 192, 384, 189, 381, 171, 363, 132, 324, 140, 332)(109, 301, 157, 349, 179, 371, 165, 357, 186, 378, 166, 358, 183, 375, 158, 350)(150, 342, 181, 373, 169, 361, 184, 376, 160, 352, 185, 377, 170, 362, 182, 374)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 421)(19, 424)(20, 425)(21, 394)(22, 429)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 443)(31, 446)(32, 399)(33, 450)(34, 451)(35, 454)(36, 455)(37, 402)(38, 457)(39, 459)(40, 403)(41, 404)(42, 447)(43, 465)(44, 449)(45, 406)(46, 407)(47, 472)(48, 473)(49, 476)(50, 409)(51, 410)(52, 480)(53, 483)(54, 411)(55, 485)(56, 486)(57, 489)(58, 490)(59, 414)(60, 492)(61, 493)(62, 415)(63, 426)(64, 496)(65, 428)(66, 417)(67, 418)(68, 488)(69, 503)(70, 419)(71, 420)(72, 478)(73, 422)(74, 508)(75, 423)(76, 499)(77, 484)(78, 500)(79, 475)(80, 513)(81, 427)(82, 504)(83, 516)(84, 510)(85, 518)(86, 519)(87, 521)(88, 431)(89, 432)(90, 525)(91, 463)(92, 433)(93, 528)(94, 456)(95, 531)(96, 436)(97, 533)(98, 534)(99, 437)(100, 461)(101, 439)(102, 440)(103, 530)(104, 452)(105, 441)(106, 442)(107, 523)(108, 444)(109, 445)(110, 543)(111, 544)(112, 448)(113, 546)(114, 536)(115, 460)(116, 462)(117, 549)(118, 550)(119, 453)(120, 466)(121, 522)(122, 553)(123, 554)(124, 458)(125, 555)(126, 468)(127, 545)(128, 526)(129, 464)(130, 548)(131, 552)(132, 467)(133, 556)(134, 469)(135, 470)(136, 559)(137, 471)(138, 505)(139, 491)(140, 562)(141, 474)(142, 512)(143, 563)(144, 477)(145, 561)(146, 487)(147, 479)(148, 558)(149, 481)(150, 482)(151, 567)(152, 498)(153, 568)(154, 569)(155, 557)(156, 570)(157, 571)(158, 564)(159, 494)(160, 495)(161, 511)(162, 497)(163, 573)(164, 514)(165, 501)(166, 502)(167, 565)(168, 515)(169, 506)(170, 507)(171, 509)(172, 517)(173, 539)(174, 532)(175, 520)(176, 575)(177, 529)(178, 524)(179, 527)(180, 542)(181, 551)(182, 576)(183, 535)(184, 537)(185, 538)(186, 540)(187, 541)(188, 574)(189, 547)(190, 572)(191, 560)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.2981
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.2985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * R * Y2^-1 * R, (R * Y2 * Y3^-1)^2, Y2^8, R * Y2^-1 * R * Y2^2 * Y1 * Y2 * Y1 * Y2^2, Y2 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^6, (Y1 * Y2^3)^3, Y2^-1 * Y1 * Y2^3 * R * Y2^2 * R * Y2^3 * Y1 * Y2^-1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 31, 223)(16, 208, 33, 225)(18, 210, 37, 229)(19, 211, 39, 231)(20, 212, 41, 233)(22, 214, 45, 237)(23, 215, 46, 238)(24, 216, 48, 240)(26, 218, 52, 244)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 60, 252)(32, 224, 59, 251)(34, 226, 66, 258)(35, 227, 57, 249)(36, 228, 69, 261)(38, 230, 73, 265)(40, 232, 76, 268)(42, 234, 50, 242)(43, 235, 80, 272)(44, 236, 47, 239)(49, 241, 90, 282)(51, 243, 93, 285)(53, 245, 97, 289)(55, 247, 100, 292)(58, 250, 104, 296)(61, 253, 85, 277)(62, 254, 98, 290)(63, 255, 110, 302)(64, 256, 92, 284)(65, 257, 102, 294)(67, 259, 114, 306)(68, 260, 88, 280)(70, 262, 117, 309)(71, 263, 112, 304)(72, 264, 119, 311)(74, 266, 86, 278)(75, 267, 106, 298)(77, 269, 125, 317)(78, 270, 89, 281)(79, 271, 115, 307)(81, 273, 129, 321)(82, 274, 99, 291)(83, 275, 131, 323)(84, 276, 123, 315)(87, 279, 134, 326)(91, 283, 138, 330)(94, 286, 141, 333)(95, 287, 136, 328)(96, 288, 143, 335)(101, 293, 149, 341)(103, 295, 139, 331)(105, 297, 153, 345)(107, 299, 155, 347)(108, 300, 147, 339)(109, 301, 152, 344)(111, 303, 159, 351)(113, 305, 160, 352)(116, 308, 151, 343)(118, 310, 144, 336)(120, 312, 142, 334)(121, 313, 165, 357)(122, 314, 168, 360)(124, 316, 170, 362)(126, 318, 171, 363)(127, 319, 140, 332)(128, 320, 133, 325)(130, 322, 156, 348)(132, 324, 154, 346)(135, 327, 174, 366)(137, 329, 175, 367)(145, 337, 180, 372)(146, 338, 183, 375)(148, 340, 185, 377)(150, 342, 186, 378)(157, 349, 182, 374)(158, 350, 184, 376)(161, 353, 188, 380)(162, 354, 177, 369)(163, 355, 179, 371)(164, 356, 178, 370)(166, 358, 189, 381)(167, 359, 172, 364)(169, 361, 173, 365)(176, 368, 191, 383)(181, 373, 192, 384)(187, 379, 190, 382)(385, 577, 387, 579, 392, 584, 402, 594, 422, 614, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 437, 629, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 416, 608, 447, 639, 495, 687, 451, 643, 418, 610, 400, 592)(393, 585, 403, 595, 424, 616, 461, 653, 510, 702, 463, 655, 426, 618, 404, 596)(395, 587, 407, 599, 431, 623, 471, 663, 519, 711, 475, 667, 433, 625, 408, 600)(397, 589, 411, 603, 439, 631, 485, 677, 534, 726, 487, 679, 441, 633, 412, 604)(401, 593, 419, 611, 452, 644, 499, 691, 548, 740, 502, 694, 454, 646, 420, 612)(405, 597, 427, 619, 465, 657, 514, 706, 542, 734, 494, 686, 466, 658, 428, 620)(409, 601, 434, 626, 476, 668, 523, 715, 563, 755, 526, 718, 478, 670, 435, 627)(413, 605, 442, 634, 489, 681, 538, 730, 557, 749, 518, 710, 490, 682, 443, 635)(415, 607, 445, 637, 425, 617, 462, 654, 511, 703, 541, 733, 493, 685, 446, 638)(417, 609, 448, 640, 474, 666, 521, 713, 560, 752, 537, 729, 496, 688, 449, 641)(421, 613, 455, 647, 492, 684, 444, 636, 491, 683, 540, 732, 504, 696, 456, 648)(423, 615, 458, 650, 507, 699, 525, 717, 565, 757, 532, 724, 484, 676, 459, 651)(429, 621, 467, 659, 516, 708, 528, 720, 480, 672, 436, 628, 479, 671, 468, 660)(430, 622, 469, 661, 440, 632, 486, 678, 535, 727, 556, 748, 517, 709, 470, 662)(432, 624, 472, 664, 450, 642, 497, 689, 545, 737, 513, 705, 520, 712, 473, 665)(438, 630, 482, 674, 531, 723, 501, 693, 550, 742, 508, 700, 460, 652, 483, 675)(453, 645, 488, 680, 536, 728, 567, 759, 576, 768, 572, 764, 549, 741, 500, 692)(457, 649, 505, 697, 547, 739, 498, 690, 546, 738, 509, 701, 553, 745, 506, 698)(464, 656, 512, 704, 552, 744, 573, 765, 575, 767, 564, 756, 524, 716, 477, 669)(481, 673, 529, 721, 562, 754, 522, 714, 561, 753, 533, 725, 568, 760, 530, 722)(503, 695, 544, 736, 570, 762, 574, 766, 558, 750, 554, 746, 515, 707, 551, 743)(527, 719, 559, 751, 555, 747, 571, 763, 543, 735, 569, 761, 539, 731, 566, 758)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 415)(16, 417)(17, 392)(18, 421)(19, 423)(20, 425)(21, 394)(22, 429)(23, 430)(24, 432)(25, 396)(26, 436)(27, 438)(28, 440)(29, 398)(30, 444)(31, 399)(32, 443)(33, 400)(34, 450)(35, 441)(36, 453)(37, 402)(38, 457)(39, 403)(40, 460)(41, 404)(42, 434)(43, 464)(44, 431)(45, 406)(46, 407)(47, 428)(48, 408)(49, 474)(50, 426)(51, 477)(52, 410)(53, 481)(54, 411)(55, 484)(56, 412)(57, 419)(58, 488)(59, 416)(60, 414)(61, 469)(62, 482)(63, 494)(64, 476)(65, 486)(66, 418)(67, 498)(68, 472)(69, 420)(70, 501)(71, 496)(72, 503)(73, 422)(74, 470)(75, 490)(76, 424)(77, 509)(78, 473)(79, 499)(80, 427)(81, 513)(82, 483)(83, 515)(84, 507)(85, 445)(86, 458)(87, 518)(88, 452)(89, 462)(90, 433)(91, 522)(92, 448)(93, 435)(94, 525)(95, 520)(96, 527)(97, 437)(98, 446)(99, 466)(100, 439)(101, 533)(102, 449)(103, 523)(104, 442)(105, 537)(106, 459)(107, 539)(108, 531)(109, 536)(110, 447)(111, 543)(112, 455)(113, 544)(114, 451)(115, 463)(116, 535)(117, 454)(118, 528)(119, 456)(120, 526)(121, 549)(122, 552)(123, 468)(124, 554)(125, 461)(126, 555)(127, 524)(128, 517)(129, 465)(130, 540)(131, 467)(132, 538)(133, 512)(134, 471)(135, 558)(136, 479)(137, 559)(138, 475)(139, 487)(140, 511)(141, 478)(142, 504)(143, 480)(144, 502)(145, 564)(146, 567)(147, 492)(148, 569)(149, 485)(150, 570)(151, 500)(152, 493)(153, 489)(154, 516)(155, 491)(156, 514)(157, 566)(158, 568)(159, 495)(160, 497)(161, 572)(162, 561)(163, 563)(164, 562)(165, 505)(166, 573)(167, 556)(168, 506)(169, 557)(170, 508)(171, 510)(172, 551)(173, 553)(174, 519)(175, 521)(176, 575)(177, 546)(178, 548)(179, 547)(180, 529)(181, 576)(182, 541)(183, 530)(184, 542)(185, 532)(186, 534)(187, 574)(188, 545)(189, 550)(190, 571)(191, 560)(192, 565)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 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 E21.2986
Graph:: bipartite
	v = 120 e = 384 f = 224
	degree seq :: [ 4^96, 16^24 ]

E21.2986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 8})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C4) : C3) : C2 (small group id <192, 181>)
Aut   = $<384, 5573>$ (small group id <384, 5573>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1 * Y1)^2, Y1^6, (Y3^2 * Y1^-1)^3, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3, Y1^-1 * Y3^-3 * Y1^3 * Y3^-5 * Y1^-2, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^2 * Y1^-1 * Y3^-4 * Y1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 36, 228, 18, 210, 11, 203)(5, 197, 14, 206, 31, 223, 37, 229, 20, 212, 7, 199)(8, 200, 21, 213, 12, 204, 29, 221, 39, 231, 17, 209)(10, 202, 25, 217, 53, 245, 70, 262, 50, 242, 27, 219)(15, 207, 34, 226, 44, 236, 71, 263, 65, 257, 32, 224)(19, 211, 41, 233, 78, 270, 63, 255, 33, 225, 43, 235)(22, 214, 47, 239, 75, 267, 60, 252, 86, 278, 45, 237)(24, 216, 51, 243, 28, 220, 40, 232, 76, 268, 49, 241)(26, 218, 55, 247, 100, 292, 118, 310, 97, 289, 57, 249)(30, 222, 46, 238, 74, 266, 38, 230, 72, 264, 62, 254)(35, 227, 69, 261, 113, 305, 119, 311, 116, 308, 67, 259)(42, 234, 80, 272, 127, 319, 109, 301, 125, 317, 82, 274)(48, 240, 89, 281, 133, 325, 106, 298, 136, 328, 88, 280)(52, 244, 94, 286, 123, 315, 77, 269, 124, 316, 92, 284)(54, 246, 98, 290, 58, 250, 91, 283, 85, 277, 96, 288)(56, 248, 102, 294, 151, 343, 166, 358, 148, 340, 103, 295)(59, 251, 93, 285, 79, 271, 90, 282, 83, 275, 66, 258)(61, 253, 107, 299, 122, 314, 73, 265, 120, 312, 108, 300)(64, 256, 110, 302, 87, 279, 84, 276, 68, 260, 112, 304)(81, 273, 129, 321, 173, 365, 155, 347, 171, 363, 130, 322)(95, 287, 142, 334, 169, 361, 121, 313, 168, 360, 141, 333)(99, 291, 145, 337, 132, 324, 139, 331, 180, 372, 144, 336)(101, 293, 149, 341, 104, 296, 143, 335, 140, 332, 147, 339)(105, 297, 114, 306, 162, 354, 138, 330, 126, 318, 154, 346)(111, 303, 158, 350, 176, 368, 131, 323, 134, 326, 160, 352)(115, 307, 163, 355, 128, 320, 161, 353, 117, 309, 165, 357)(135, 327, 157, 349, 167, 359, 178, 370, 137, 329, 156, 348)(146, 338, 175, 367, 192, 384, 179, 371, 190, 382, 174, 366)(150, 342, 164, 356, 181, 373, 184, 376, 189, 381, 172, 364)(152, 344, 177, 369, 153, 345, 186, 378, 185, 377, 187, 379)(159, 351, 182, 374, 188, 380, 170, 362, 191, 383, 183, 375)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 412)(12, 414)(13, 415)(14, 416)(15, 389)(16, 420)(17, 422)(18, 390)(19, 426)(20, 428)(21, 429)(22, 392)(23, 433)(24, 393)(25, 395)(26, 440)(27, 442)(28, 443)(29, 397)(30, 445)(31, 447)(32, 448)(33, 398)(34, 451)(35, 399)(36, 454)(37, 400)(38, 457)(39, 459)(40, 402)(41, 404)(42, 465)(43, 467)(44, 468)(45, 469)(46, 405)(47, 472)(48, 406)(49, 474)(50, 407)(51, 476)(52, 408)(53, 480)(54, 409)(55, 411)(56, 419)(57, 488)(58, 431)(59, 489)(60, 413)(61, 479)(62, 452)(63, 493)(64, 495)(65, 497)(66, 417)(67, 499)(68, 418)(69, 487)(70, 502)(71, 421)(72, 423)(73, 505)(74, 494)(75, 482)(76, 507)(77, 424)(78, 477)(79, 425)(80, 427)(81, 432)(82, 501)(83, 460)(84, 515)(85, 516)(86, 517)(87, 430)(88, 519)(89, 514)(90, 522)(91, 434)(92, 524)(93, 435)(94, 525)(95, 436)(96, 470)(97, 437)(98, 528)(99, 438)(100, 531)(101, 439)(102, 441)(103, 537)(104, 478)(105, 530)(106, 444)(107, 446)(108, 541)(109, 539)(110, 449)(111, 543)(112, 456)(113, 545)(114, 450)(115, 548)(116, 535)(117, 453)(118, 550)(119, 455)(120, 458)(121, 461)(122, 521)(123, 533)(124, 553)(125, 462)(126, 463)(127, 547)(128, 464)(129, 466)(130, 559)(131, 554)(132, 561)(133, 562)(134, 471)(135, 534)(136, 557)(137, 473)(138, 563)(139, 475)(140, 565)(141, 566)(142, 492)(143, 481)(144, 569)(145, 558)(146, 483)(147, 508)(148, 484)(149, 556)(150, 485)(151, 571)(152, 486)(153, 529)(154, 572)(155, 490)(156, 491)(157, 520)(158, 496)(159, 498)(160, 536)(161, 573)(162, 567)(163, 500)(164, 540)(165, 509)(166, 503)(167, 504)(168, 506)(169, 575)(170, 510)(171, 511)(172, 512)(173, 574)(174, 513)(175, 538)(176, 570)(177, 518)(178, 568)(179, 523)(180, 576)(181, 549)(182, 544)(183, 526)(184, 527)(185, 542)(186, 532)(187, 564)(188, 552)(189, 551)(190, 546)(191, 560)(192, 555)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.2985
Graph:: simple bipartite
	v = 224 e = 384 f = 120
	degree seq :: [ 2^192, 12^32 ]

E21.2987 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T2 * T1)^4, (T1^-3 * T2 * T1^-1)^2, (T1 * T2 * T1)^4, T2 * T1^3 * T2 * T1^-2 * T2 * T1^5 * T2 * T1^-2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 124, 167, 156, 185, 190, 192, 191, 188, 158, 186, 166, 123, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 147, 182, 145, 97, 144, 175, 189, 181, 140, 118, 161, 174, 128, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 122, 165, 183, 136, 114, 153, 187, 150, 103, 64, 108, 155, 171, 126, 81, 58, 30, 14)(9, 19, 38, 71, 115, 159, 184, 143, 113, 67, 112, 133, 180, 142, 104, 151, 168, 132, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 120, 163, 177, 146, 111, 154, 107, 139, 94, 141, 109, 157, 169, 125, 90, 52, 26)(16, 33, 63, 106, 70, 84, 130, 176, 164, 121, 77, 91, 134, 87, 50, 29, 56, 96, 138, 170, 148, 110, 65, 34)(17, 35, 66, 100, 127, 172, 162, 119, 74, 39, 73, 117, 129, 83, 51, 88, 135, 179, 149, 102, 60, 95, 55, 28)(32, 61, 86, 69, 36, 68, 89, 137, 173, 160, 116, 72, 93, 54, 92, 75, 99, 57, 98, 131, 178, 152, 105, 62)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 103)(62, 104)(63, 107)(65, 109)(66, 111)(68, 114)(69, 112)(71, 110)(74, 118)(76, 105)(78, 102)(79, 115)(80, 125)(82, 127)(85, 131)(87, 133)(88, 136)(90, 138)(92, 139)(93, 140)(95, 142)(96, 143)(98, 146)(99, 144)(101, 148)(106, 153)(108, 156)(113, 158)(116, 157)(117, 150)(119, 155)(120, 162)(121, 151)(122, 160)(123, 163)(124, 168)(126, 170)(128, 173)(129, 175)(130, 177)(132, 179)(134, 181)(135, 182)(137, 184)(141, 185)(145, 186)(147, 178)(149, 169)(152, 171)(154, 188)(159, 172)(161, 167)(164, 174)(165, 176)(166, 183)(180, 190)(187, 191)(189, 192)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2988
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.2988 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 88, 69)(43, 70, 87, 71)(45, 73, 85, 74)(46, 75, 84, 76)(60, 92, 82, 93)(61, 94, 81, 95)(63, 97, 79, 98)(64, 99, 78, 100)(65, 101, 123, 102)(66, 96, 114, 91)(67, 89, 72, 103)(90, 113, 133, 112)(104, 125, 111, 126)(105, 127, 110, 128)(106, 129, 109, 130)(107, 131, 108, 132)(115, 135, 122, 136)(116, 137, 121, 138)(117, 139, 120, 140)(118, 141, 119, 142)(124, 134, 152, 143)(144, 161, 151, 162)(145, 163, 150, 164)(146, 165, 149, 166)(147, 167, 148, 168)(153, 169, 160, 170)(154, 171, 159, 172)(155, 173, 158, 174)(156, 175, 157, 176)(177, 191, 184, 186)(178, 187, 183, 190)(179, 189, 182, 188)(180, 185, 181, 192)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 104)(69, 105)(70, 106)(71, 107)(73, 108)(74, 109)(75, 110)(76, 111)(77, 102)(80, 101)(83, 112)(86, 113)(92, 115)(93, 116)(94, 117)(95, 118)(97, 119)(98, 120)(99, 121)(100, 122)(103, 124)(114, 134)(123, 143)(125, 144)(126, 145)(127, 146)(128, 147)(129, 148)(130, 149)(131, 150)(132, 151)(133, 152)(135, 153)(136, 154)(137, 155)(138, 156)(139, 157)(140, 158)(141, 159)(142, 160)(161, 177)(162, 178)(163, 179)(164, 180)(165, 181)(166, 182)(167, 183)(168, 184)(169, 185)(170, 186)(171, 187)(172, 188)(173, 189)(174, 190)(175, 191)(176, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2987
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.2989 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 110, 74)(46, 75, 111, 76)(54, 86, 62, 87)(57, 91, 121, 92)(59, 93, 122, 94)(65, 101, 82, 102)(67, 103, 80, 104)(70, 106, 79, 107)(72, 108, 77, 109)(83, 112, 100, 113)(85, 114, 98, 115)(88, 117, 97, 118)(90, 119, 95, 120)(105, 127, 151, 128)(116, 137, 160, 138)(123, 143, 132, 144)(124, 145, 131, 146)(125, 147, 130, 148)(126, 149, 129, 150)(133, 152, 142, 153)(134, 154, 141, 155)(135, 156, 140, 157)(136, 158, 139, 159)(161, 177, 168, 178)(162, 179, 167, 180)(163, 181, 166, 182)(164, 183, 165, 184)(169, 185, 176, 186)(170, 187, 175, 188)(171, 189, 174, 190)(172, 191, 173, 192)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 257)(232, 259)(234, 262)(235, 264)(237, 250)(239, 269)(240, 271)(242, 272)(243, 274)(244, 275)(245, 277)(247, 280)(248, 282)(252, 287)(253, 289)(255, 290)(256, 292)(258, 286)(260, 278)(261, 297)(263, 285)(265, 291)(266, 288)(267, 281)(268, 276)(270, 284)(273, 283)(279, 308)(293, 315)(294, 316)(295, 317)(296, 318)(298, 321)(299, 322)(300, 323)(301, 324)(302, 320)(303, 319)(304, 325)(305, 326)(306, 327)(307, 328)(309, 331)(310, 332)(311, 333)(312, 334)(313, 330)(314, 329)(335, 353)(336, 354)(337, 355)(338, 356)(339, 357)(340, 358)(341, 359)(342, 360)(343, 352)(344, 361)(345, 362)(346, 363)(347, 364)(348, 365)(349, 366)(350, 367)(351, 368)(369, 383)(370, 378)(371, 379)(372, 382)(373, 381)(374, 380)(375, 377)(376, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.2993
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.2990 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-3 * T1)^2, (T2 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2^5 * T1^-1 * T2^-6 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 91, 131, 167, 181, 146, 108, 145, 177, 141, 101, 140, 176, 175, 139, 100, 62, 32, 14, 5)(2, 7, 17, 38, 74, 115, 154, 188, 159, 121, 82, 123, 161, 124, 93, 132, 168, 192, 158, 120, 80, 44, 20, 8)(4, 12, 27, 56, 96, 135, 171, 189, 155, 117, 78, 116, 151, 112, 71, 111, 150, 185, 163, 126, 86, 48, 22, 9)(6, 15, 33, 64, 104, 144, 180, 172, 136, 97, 60, 92, 128, 88, 49, 87, 127, 164, 184, 149, 110, 70, 36, 16)(11, 26, 54, 31, 61, 99, 138, 174, 179, 143, 103, 65, 105, 68, 35, 67, 107, 147, 182, 165, 129, 89, 50, 23)(13, 29, 59, 98, 137, 173, 178, 142, 102, 63, 34, 66, 106, 69, 109, 148, 183, 166, 130, 90, 51, 25, 53, 30)(18, 40, 76, 43, 79, 119, 157, 191, 170, 134, 95, 57, 83, 46, 21, 45, 81, 122, 160, 186, 152, 113, 72, 37)(19, 41, 77, 118, 156, 190, 169, 133, 94, 55, 28, 58, 85, 47, 84, 125, 162, 187, 153, 114, 73, 39, 75, 42)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 252, 221)(209, 229, 263, 231)(212, 235, 270, 233)(214, 239, 274, 237)(216, 243, 271, 236)(218, 238, 258, 234)(219, 247, 285, 249)(222, 250, 260, 232)(224, 248, 287, 253)(225, 255, 293, 257)(228, 261, 300, 259)(230, 265, 301, 262)(240, 256, 295, 276)(242, 269, 309, 279)(244, 272, 296, 278)(245, 280, 315, 277)(246, 267, 304, 284)(251, 289, 324, 286)(254, 266, 302, 288)(264, 299, 338, 303)(268, 297, 333, 308)(273, 313, 332, 294)(275, 316, 337, 298)(281, 314, 334, 310)(282, 317, 335, 311)(283, 318, 352, 321)(290, 325, 339, 305)(291, 326, 340, 306)(292, 329, 344, 307)(312, 348, 370, 336)(319, 347, 368, 351)(320, 343, 369, 353)(322, 356, 380, 354)(323, 357, 376, 358)(327, 341, 374, 361)(328, 342, 373, 360)(330, 345, 377, 364)(331, 366, 372, 365)(346, 378, 355, 379)(349, 371, 367, 381)(350, 383, 363, 382)(359, 375, 362, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2994
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.2991 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1)^4, (T1^-3 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^-1)^4, (T1^-1 * T2 * T1 * T2 * T1^-4)^2, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 103)(62, 104)(63, 107)(65, 109)(66, 111)(68, 114)(69, 112)(71, 110)(74, 118)(76, 105)(78, 102)(79, 115)(80, 125)(82, 127)(85, 131)(87, 133)(88, 136)(90, 138)(92, 139)(93, 140)(95, 142)(96, 143)(98, 146)(99, 144)(101, 148)(106, 153)(108, 156)(113, 158)(116, 157)(117, 150)(119, 155)(120, 162)(121, 151)(122, 160)(123, 163)(124, 168)(126, 170)(128, 173)(129, 175)(130, 177)(132, 179)(134, 181)(135, 182)(137, 184)(141, 185)(145, 186)(147, 178)(149, 169)(152, 171)(154, 188)(159, 172)(161, 167)(164, 174)(165, 176)(166, 183)(180, 190)(187, 191)(189, 192)(193, 194, 197, 203, 215, 237, 272, 316, 359, 348, 377, 382, 384, 383, 380, 350, 378, 358, 315, 271, 236, 214, 202, 196)(195, 199, 207, 223, 251, 293, 339, 374, 337, 289, 336, 367, 381, 373, 332, 310, 353, 366, 320, 274, 238, 229, 210, 200)(198, 205, 219, 245, 235, 270, 314, 357, 375, 328, 306, 345, 379, 342, 295, 256, 300, 347, 363, 318, 273, 250, 222, 206)(201, 211, 230, 263, 307, 351, 376, 335, 305, 259, 304, 325, 372, 334, 296, 343, 360, 324, 277, 240, 216, 239, 232, 212)(204, 217, 241, 234, 213, 233, 268, 312, 355, 369, 338, 303, 346, 299, 331, 286, 333, 301, 349, 361, 317, 282, 244, 218)(208, 225, 255, 298, 262, 276, 322, 368, 356, 313, 269, 283, 326, 279, 242, 221, 248, 288, 330, 362, 340, 302, 257, 226)(209, 227, 258, 292, 319, 364, 354, 311, 266, 231, 265, 309, 321, 275, 243, 280, 327, 371, 341, 294, 252, 287, 247, 220)(224, 253, 278, 261, 228, 260, 281, 329, 365, 352, 308, 264, 285, 246, 284, 267, 291, 249, 290, 323, 370, 344, 297, 254)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.2992
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.2992 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 66, 258, 40, 232)(25, 217, 42, 234, 71, 263, 43, 235)(28, 220, 47, 239, 78, 270, 48, 240)(30, 222, 50, 242, 81, 273, 51, 243)(31, 223, 52, 244, 84, 276, 53, 245)(33, 225, 55, 247, 89, 281, 56, 248)(36, 228, 60, 252, 96, 288, 61, 253)(38, 230, 63, 255, 99, 291, 64, 256)(41, 233, 68, 260, 49, 241, 69, 261)(44, 236, 73, 265, 110, 302, 74, 266)(46, 238, 75, 267, 111, 303, 76, 268)(54, 246, 86, 278, 62, 254, 87, 279)(57, 249, 91, 283, 121, 313, 92, 284)(59, 251, 93, 285, 122, 314, 94, 286)(65, 257, 101, 293, 82, 274, 102, 294)(67, 259, 103, 295, 80, 272, 104, 296)(70, 262, 106, 298, 79, 271, 107, 299)(72, 264, 108, 300, 77, 269, 109, 301)(83, 275, 112, 304, 100, 292, 113, 305)(85, 277, 114, 306, 98, 290, 115, 307)(88, 280, 117, 309, 97, 289, 118, 310)(90, 282, 119, 311, 95, 287, 120, 312)(105, 297, 127, 319, 151, 343, 128, 320)(116, 308, 137, 329, 160, 352, 138, 330)(123, 315, 143, 335, 132, 324, 144, 336)(124, 316, 145, 337, 131, 323, 146, 338)(125, 317, 147, 339, 130, 322, 148, 340)(126, 318, 149, 341, 129, 321, 150, 342)(133, 325, 152, 344, 142, 334, 153, 345)(134, 326, 154, 346, 141, 333, 155, 347)(135, 327, 156, 348, 140, 332, 157, 349)(136, 328, 158, 350, 139, 331, 159, 351)(161, 353, 177, 369, 168, 360, 178, 370)(162, 354, 179, 371, 167, 359, 180, 372)(163, 355, 181, 373, 166, 358, 182, 374)(164, 356, 183, 375, 165, 357, 184, 376)(169, 361, 185, 377, 176, 368, 186, 378)(170, 362, 187, 379, 175, 367, 188, 380)(171, 363, 189, 381, 174, 366, 190, 382)(172, 364, 191, 383, 173, 365, 192, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 257)(40, 259)(41, 216)(42, 262)(43, 264)(44, 218)(45, 250)(46, 219)(47, 269)(48, 271)(49, 221)(50, 272)(51, 274)(52, 275)(53, 277)(54, 224)(55, 280)(56, 282)(57, 226)(58, 237)(59, 227)(60, 287)(61, 289)(62, 229)(63, 290)(64, 292)(65, 231)(66, 286)(67, 232)(68, 278)(69, 297)(70, 234)(71, 285)(72, 235)(73, 291)(74, 288)(75, 281)(76, 276)(77, 239)(78, 284)(79, 240)(80, 242)(81, 283)(82, 243)(83, 244)(84, 268)(85, 245)(86, 260)(87, 308)(88, 247)(89, 267)(90, 248)(91, 273)(92, 270)(93, 263)(94, 258)(95, 252)(96, 266)(97, 253)(98, 255)(99, 265)(100, 256)(101, 315)(102, 316)(103, 317)(104, 318)(105, 261)(106, 321)(107, 322)(108, 323)(109, 324)(110, 320)(111, 319)(112, 325)(113, 326)(114, 327)(115, 328)(116, 279)(117, 331)(118, 332)(119, 333)(120, 334)(121, 330)(122, 329)(123, 293)(124, 294)(125, 295)(126, 296)(127, 303)(128, 302)(129, 298)(130, 299)(131, 300)(132, 301)(133, 304)(134, 305)(135, 306)(136, 307)(137, 314)(138, 313)(139, 309)(140, 310)(141, 311)(142, 312)(143, 353)(144, 354)(145, 355)(146, 356)(147, 357)(148, 358)(149, 359)(150, 360)(151, 352)(152, 361)(153, 362)(154, 363)(155, 364)(156, 365)(157, 366)(158, 367)(159, 368)(160, 343)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 344)(170, 345)(171, 346)(172, 347)(173, 348)(174, 349)(175, 350)(176, 351)(177, 383)(178, 378)(179, 379)(180, 382)(181, 381)(182, 380)(183, 377)(184, 384)(185, 375)(186, 370)(187, 371)(188, 374)(189, 373)(190, 372)(191, 369)(192, 376)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2991
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.2993 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-3 * T1)^2, (T2 * T1^-1)^4, T1^-1 * T2^-1 * T1 * T2^5 * T1^-1 * T2^-6 * T1^-1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 52, 244, 91, 283, 131, 323, 167, 359, 181, 373, 146, 338, 108, 300, 145, 337, 177, 369, 141, 333, 101, 293, 140, 332, 176, 368, 175, 367, 139, 331, 100, 292, 62, 254, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 74, 266, 115, 307, 154, 346, 188, 380, 159, 351, 121, 313, 82, 274, 123, 315, 161, 353, 124, 316, 93, 285, 132, 324, 168, 360, 192, 384, 158, 350, 120, 312, 80, 272, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 56, 248, 96, 288, 135, 327, 171, 363, 189, 381, 155, 347, 117, 309, 78, 270, 116, 308, 151, 343, 112, 304, 71, 263, 111, 303, 150, 342, 185, 377, 163, 355, 126, 318, 86, 278, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 64, 256, 104, 296, 144, 336, 180, 372, 172, 364, 136, 328, 97, 289, 60, 252, 92, 284, 128, 320, 88, 280, 49, 241, 87, 279, 127, 319, 164, 356, 184, 376, 149, 341, 110, 302, 70, 262, 36, 228, 16, 208)(11, 203, 26, 218, 54, 246, 31, 223, 61, 253, 99, 291, 138, 330, 174, 366, 179, 371, 143, 335, 103, 295, 65, 257, 105, 297, 68, 260, 35, 227, 67, 259, 107, 299, 147, 339, 182, 374, 165, 357, 129, 321, 89, 281, 50, 242, 23, 215)(13, 205, 29, 221, 59, 251, 98, 290, 137, 329, 173, 365, 178, 370, 142, 334, 102, 294, 63, 255, 34, 226, 66, 258, 106, 298, 69, 261, 109, 301, 148, 340, 183, 375, 166, 358, 130, 322, 90, 282, 51, 243, 25, 217, 53, 245, 30, 222)(18, 210, 40, 232, 76, 268, 43, 235, 79, 271, 119, 311, 157, 349, 191, 383, 170, 362, 134, 326, 95, 287, 57, 249, 83, 275, 46, 238, 21, 213, 45, 237, 81, 273, 122, 314, 160, 352, 186, 378, 152, 344, 113, 305, 72, 264, 37, 229)(19, 211, 41, 233, 77, 269, 118, 310, 156, 348, 190, 382, 169, 361, 133, 325, 94, 286, 55, 247, 28, 220, 58, 250, 85, 277, 47, 239, 84, 276, 125, 317, 162, 354, 187, 379, 153, 345, 114, 306, 73, 265, 39, 231, 75, 267, 42, 234)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 243)(25, 202)(26, 238)(27, 247)(28, 204)(29, 206)(30, 250)(31, 252)(32, 248)(33, 255)(34, 207)(35, 220)(36, 261)(37, 263)(38, 265)(39, 209)(40, 222)(41, 212)(42, 218)(43, 270)(44, 216)(45, 214)(46, 258)(47, 274)(48, 256)(49, 217)(50, 269)(51, 271)(52, 272)(53, 280)(54, 267)(55, 285)(56, 287)(57, 219)(58, 260)(59, 289)(60, 221)(61, 224)(62, 266)(63, 293)(64, 295)(65, 225)(66, 234)(67, 228)(68, 232)(69, 300)(70, 230)(71, 231)(72, 299)(73, 301)(74, 302)(75, 304)(76, 297)(77, 309)(78, 233)(79, 236)(80, 296)(81, 313)(82, 237)(83, 316)(84, 240)(85, 245)(86, 244)(87, 242)(88, 315)(89, 314)(90, 317)(91, 318)(92, 246)(93, 249)(94, 251)(95, 253)(96, 254)(97, 324)(98, 325)(99, 326)(100, 329)(101, 257)(102, 273)(103, 276)(104, 278)(105, 333)(106, 275)(107, 338)(108, 259)(109, 262)(110, 288)(111, 264)(112, 284)(113, 290)(114, 291)(115, 292)(116, 268)(117, 279)(118, 281)(119, 282)(120, 348)(121, 332)(122, 334)(123, 277)(124, 337)(125, 335)(126, 352)(127, 347)(128, 343)(129, 283)(130, 356)(131, 357)(132, 286)(133, 339)(134, 340)(135, 341)(136, 342)(137, 344)(138, 345)(139, 366)(140, 294)(141, 308)(142, 310)(143, 311)(144, 312)(145, 298)(146, 303)(147, 305)(148, 306)(149, 374)(150, 373)(151, 369)(152, 307)(153, 377)(154, 378)(155, 368)(156, 370)(157, 371)(158, 383)(159, 319)(160, 321)(161, 320)(162, 322)(163, 379)(164, 380)(165, 376)(166, 323)(167, 375)(168, 328)(169, 327)(170, 384)(171, 382)(172, 330)(173, 331)(174, 372)(175, 381)(176, 351)(177, 353)(178, 336)(179, 367)(180, 365)(181, 360)(182, 361)(183, 362)(184, 358)(185, 364)(186, 355)(187, 346)(188, 354)(189, 349)(190, 350)(191, 363)(192, 359)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2989
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.2994 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1)^4, (T1^-3 * T2 * T1^-1)^2, (T1^-1 * T2 * T1^-1)^4, (T1^-1 * T2 * T1 * T2 * T1^-4)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 64, 256)(35, 227, 67, 259)(37, 229, 70, 262)(38, 230, 72, 264)(40, 232, 75, 267)(41, 233, 77, 269)(42, 234, 73, 265)(44, 236, 59, 251)(45, 237, 81, 273)(47, 239, 83, 275)(48, 240, 84, 276)(49, 241, 86, 278)(52, 244, 89, 281)(53, 245, 91, 283)(55, 247, 94, 286)(56, 248, 97, 289)(58, 250, 100, 292)(61, 253, 103, 295)(62, 254, 104, 296)(63, 255, 107, 299)(65, 257, 109, 301)(66, 258, 111, 303)(68, 260, 114, 306)(69, 261, 112, 304)(71, 263, 110, 302)(74, 266, 118, 310)(76, 268, 105, 297)(78, 270, 102, 294)(79, 271, 115, 307)(80, 272, 125, 317)(82, 274, 127, 319)(85, 277, 131, 323)(87, 279, 133, 325)(88, 280, 136, 328)(90, 282, 138, 330)(92, 284, 139, 331)(93, 285, 140, 332)(95, 287, 142, 334)(96, 288, 143, 335)(98, 290, 146, 338)(99, 291, 144, 336)(101, 293, 148, 340)(106, 298, 153, 345)(108, 300, 156, 348)(113, 305, 158, 350)(116, 308, 157, 349)(117, 309, 150, 342)(119, 311, 155, 347)(120, 312, 162, 354)(121, 313, 151, 343)(122, 314, 160, 352)(123, 315, 163, 355)(124, 316, 168, 360)(126, 318, 170, 362)(128, 320, 173, 365)(129, 321, 175, 367)(130, 322, 177, 369)(132, 324, 179, 371)(134, 326, 181, 373)(135, 327, 182, 374)(137, 329, 184, 376)(141, 333, 185, 377)(145, 337, 186, 378)(147, 339, 178, 370)(149, 341, 169, 361)(152, 344, 171, 363)(154, 346, 188, 380)(159, 351, 172, 364)(161, 353, 167, 359)(164, 356, 174, 366)(165, 357, 176, 368)(166, 358, 183, 375)(180, 372, 190, 382)(187, 379, 191, 383)(189, 381, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 253)(33, 255)(34, 208)(35, 258)(36, 260)(37, 210)(38, 263)(39, 265)(40, 212)(41, 268)(42, 213)(43, 270)(44, 214)(45, 272)(46, 229)(47, 232)(48, 216)(49, 234)(50, 221)(51, 280)(52, 218)(53, 235)(54, 284)(55, 220)(56, 288)(57, 290)(58, 222)(59, 293)(60, 287)(61, 278)(62, 224)(63, 298)(64, 300)(65, 226)(66, 292)(67, 304)(68, 281)(69, 228)(70, 276)(71, 307)(72, 285)(73, 309)(74, 231)(75, 291)(76, 312)(77, 283)(78, 314)(79, 236)(80, 316)(81, 250)(82, 238)(83, 243)(84, 322)(85, 240)(86, 261)(87, 242)(88, 327)(89, 329)(90, 244)(91, 326)(92, 267)(93, 246)(94, 333)(95, 247)(96, 330)(97, 336)(98, 323)(99, 249)(100, 319)(101, 339)(102, 252)(103, 256)(104, 343)(105, 254)(106, 262)(107, 331)(108, 347)(109, 349)(110, 257)(111, 346)(112, 325)(113, 259)(114, 345)(115, 351)(116, 264)(117, 321)(118, 353)(119, 266)(120, 355)(121, 269)(122, 357)(123, 271)(124, 359)(125, 282)(126, 273)(127, 364)(128, 274)(129, 275)(130, 368)(131, 370)(132, 277)(133, 372)(134, 279)(135, 371)(136, 306)(137, 365)(138, 362)(139, 286)(140, 310)(141, 301)(142, 296)(143, 305)(144, 367)(145, 289)(146, 303)(147, 374)(148, 302)(149, 294)(150, 295)(151, 360)(152, 297)(153, 379)(154, 299)(155, 363)(156, 377)(157, 361)(158, 378)(159, 376)(160, 308)(161, 366)(162, 311)(163, 369)(164, 313)(165, 375)(166, 315)(167, 348)(168, 324)(169, 317)(170, 340)(171, 318)(172, 354)(173, 352)(174, 320)(175, 381)(176, 356)(177, 338)(178, 344)(179, 341)(180, 334)(181, 332)(182, 337)(183, 328)(184, 335)(185, 382)(186, 358)(187, 342)(188, 350)(189, 373)(190, 384)(191, 380)(192, 383)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.2990
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.2995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-2 * Y1 * R * Y2^-2 * R, Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^2 * R * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-3 * R * Y2^-2 * R * Y2 * Y1 * Y2 * Y1 * Y2^-2 * 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, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 65, 257)(40, 232, 67, 259)(42, 234, 70, 262)(43, 235, 72, 264)(45, 237, 58, 250)(47, 239, 77, 269)(48, 240, 79, 271)(50, 242, 80, 272)(51, 243, 82, 274)(52, 244, 83, 275)(53, 245, 85, 277)(55, 247, 88, 280)(56, 248, 90, 282)(60, 252, 95, 287)(61, 253, 97, 289)(63, 255, 98, 290)(64, 256, 100, 292)(66, 258, 94, 286)(68, 260, 86, 278)(69, 261, 105, 297)(71, 263, 93, 285)(73, 265, 99, 291)(74, 266, 96, 288)(75, 267, 89, 281)(76, 268, 84, 276)(78, 270, 92, 284)(81, 273, 91, 283)(87, 279, 116, 308)(101, 293, 123, 315)(102, 294, 124, 316)(103, 295, 125, 317)(104, 296, 126, 318)(106, 298, 129, 321)(107, 299, 130, 322)(108, 300, 131, 323)(109, 301, 132, 324)(110, 302, 128, 320)(111, 303, 127, 319)(112, 304, 133, 325)(113, 305, 134, 326)(114, 306, 135, 327)(115, 307, 136, 328)(117, 309, 139, 331)(118, 310, 140, 332)(119, 311, 141, 333)(120, 312, 142, 334)(121, 313, 138, 330)(122, 314, 137, 329)(143, 335, 161, 353)(144, 336, 162, 354)(145, 337, 163, 355)(146, 338, 164, 356)(147, 339, 165, 357)(148, 340, 166, 358)(149, 341, 167, 359)(150, 342, 168, 360)(151, 343, 160, 352)(152, 344, 169, 361)(153, 345, 170, 362)(154, 346, 171, 363)(155, 347, 172, 364)(156, 348, 173, 365)(157, 349, 174, 366)(158, 350, 175, 367)(159, 351, 176, 368)(177, 369, 191, 383)(178, 370, 186, 378)(179, 371, 187, 379)(180, 372, 190, 382)(181, 373, 189, 381)(182, 374, 188, 380)(183, 375, 185, 377)(184, 376, 192, 384)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 450, 642, 424, 616)(409, 601, 426, 618, 455, 647, 427, 619)(412, 604, 431, 623, 462, 654, 432, 624)(414, 606, 434, 626, 465, 657, 435, 627)(415, 607, 436, 628, 468, 660, 437, 629)(417, 609, 439, 631, 473, 665, 440, 632)(420, 612, 444, 636, 480, 672, 445, 637)(422, 614, 447, 639, 483, 675, 448, 640)(425, 617, 452, 644, 433, 625, 453, 645)(428, 620, 457, 649, 494, 686, 458, 650)(430, 622, 459, 651, 495, 687, 460, 652)(438, 630, 470, 662, 446, 638, 471, 663)(441, 633, 475, 667, 505, 697, 476, 668)(443, 635, 477, 669, 506, 698, 478, 670)(449, 641, 485, 677, 466, 658, 486, 678)(451, 643, 487, 679, 464, 656, 488, 680)(454, 646, 490, 682, 463, 655, 491, 683)(456, 648, 492, 684, 461, 653, 493, 685)(467, 659, 496, 688, 484, 676, 497, 689)(469, 661, 498, 690, 482, 674, 499, 691)(472, 664, 501, 693, 481, 673, 502, 694)(474, 666, 503, 695, 479, 671, 504, 696)(489, 681, 511, 703, 535, 727, 512, 704)(500, 692, 521, 713, 544, 736, 522, 714)(507, 699, 527, 719, 516, 708, 528, 720)(508, 700, 529, 721, 515, 707, 530, 722)(509, 701, 531, 723, 514, 706, 532, 724)(510, 702, 533, 725, 513, 705, 534, 726)(517, 709, 536, 728, 526, 718, 537, 729)(518, 710, 538, 730, 525, 717, 539, 731)(519, 711, 540, 732, 524, 716, 541, 733)(520, 712, 542, 734, 523, 715, 543, 735)(545, 737, 561, 753, 552, 744, 562, 754)(546, 738, 563, 755, 551, 743, 564, 756)(547, 739, 565, 757, 550, 742, 566, 758)(548, 740, 567, 759, 549, 741, 568, 760)(553, 745, 569, 761, 560, 752, 570, 762)(554, 746, 571, 763, 559, 751, 572, 764)(555, 747, 573, 765, 558, 750, 574, 766)(556, 748, 575, 767, 557, 749, 576, 768)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 449)(40, 451)(41, 408)(42, 454)(43, 456)(44, 410)(45, 442)(46, 411)(47, 461)(48, 463)(49, 413)(50, 464)(51, 466)(52, 467)(53, 469)(54, 416)(55, 472)(56, 474)(57, 418)(58, 429)(59, 419)(60, 479)(61, 481)(62, 421)(63, 482)(64, 484)(65, 423)(66, 478)(67, 424)(68, 470)(69, 489)(70, 426)(71, 477)(72, 427)(73, 483)(74, 480)(75, 473)(76, 468)(77, 431)(78, 476)(79, 432)(80, 434)(81, 475)(82, 435)(83, 436)(84, 460)(85, 437)(86, 452)(87, 500)(88, 439)(89, 459)(90, 440)(91, 465)(92, 462)(93, 455)(94, 450)(95, 444)(96, 458)(97, 445)(98, 447)(99, 457)(100, 448)(101, 507)(102, 508)(103, 509)(104, 510)(105, 453)(106, 513)(107, 514)(108, 515)(109, 516)(110, 512)(111, 511)(112, 517)(113, 518)(114, 519)(115, 520)(116, 471)(117, 523)(118, 524)(119, 525)(120, 526)(121, 522)(122, 521)(123, 485)(124, 486)(125, 487)(126, 488)(127, 495)(128, 494)(129, 490)(130, 491)(131, 492)(132, 493)(133, 496)(134, 497)(135, 498)(136, 499)(137, 506)(138, 505)(139, 501)(140, 502)(141, 503)(142, 504)(143, 545)(144, 546)(145, 547)(146, 548)(147, 549)(148, 550)(149, 551)(150, 552)(151, 544)(152, 553)(153, 554)(154, 555)(155, 556)(156, 557)(157, 558)(158, 559)(159, 560)(160, 535)(161, 527)(162, 528)(163, 529)(164, 530)(165, 531)(166, 532)(167, 533)(168, 534)(169, 536)(170, 537)(171, 538)(172, 539)(173, 540)(174, 541)(175, 542)(176, 543)(177, 575)(178, 570)(179, 571)(180, 574)(181, 573)(182, 572)(183, 569)(184, 576)(185, 567)(186, 562)(187, 563)(188, 566)(189, 565)(190, 564)(191, 561)(192, 568)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2998
Graph:: bipartite
	v = 144 e = 384 f = 200
	degree seq :: [ 4^96, 8^48 ]

E21.2996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y2 * Y1^-2 * Y2^2 * Y1^-1 * Y2^2 * Y1^2 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^5 * Y1^-1 * Y2^-6 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 60, 252, 29, 221)(17, 209, 37, 229, 71, 263, 39, 231)(20, 212, 43, 235, 78, 270, 41, 233)(22, 214, 47, 239, 82, 274, 45, 237)(24, 216, 51, 243, 79, 271, 44, 236)(26, 218, 46, 238, 66, 258, 42, 234)(27, 219, 55, 247, 93, 285, 57, 249)(30, 222, 58, 250, 68, 260, 40, 232)(32, 224, 56, 248, 95, 287, 61, 253)(33, 225, 63, 255, 101, 293, 65, 257)(36, 228, 69, 261, 108, 300, 67, 259)(38, 230, 73, 265, 109, 301, 70, 262)(48, 240, 64, 256, 103, 295, 84, 276)(50, 242, 77, 269, 117, 309, 87, 279)(52, 244, 80, 272, 104, 296, 86, 278)(53, 245, 88, 280, 123, 315, 85, 277)(54, 246, 75, 267, 112, 304, 92, 284)(59, 251, 97, 289, 132, 324, 94, 286)(62, 254, 74, 266, 110, 302, 96, 288)(72, 264, 107, 299, 146, 338, 111, 303)(76, 268, 105, 297, 141, 333, 116, 308)(81, 273, 121, 313, 140, 332, 102, 294)(83, 275, 124, 316, 145, 337, 106, 298)(89, 281, 122, 314, 142, 334, 118, 310)(90, 282, 125, 317, 143, 335, 119, 311)(91, 283, 126, 318, 160, 352, 129, 321)(98, 290, 133, 325, 147, 339, 113, 305)(99, 291, 134, 326, 148, 340, 114, 306)(100, 292, 137, 329, 152, 344, 115, 307)(120, 312, 156, 348, 178, 370, 144, 336)(127, 319, 155, 347, 176, 368, 159, 351)(128, 320, 151, 343, 177, 369, 161, 353)(130, 322, 164, 356, 188, 380, 162, 354)(131, 323, 165, 357, 184, 376, 166, 358)(135, 327, 149, 341, 182, 374, 169, 361)(136, 328, 150, 342, 181, 373, 168, 360)(138, 330, 153, 345, 185, 377, 172, 364)(139, 331, 174, 366, 180, 372, 173, 365)(154, 346, 186, 378, 163, 355, 187, 379)(157, 349, 179, 371, 175, 367, 189, 381)(158, 350, 191, 383, 171, 363, 190, 382)(167, 359, 183, 375, 170, 362, 192, 384)(385, 577, 387, 579, 394, 586, 408, 600, 436, 628, 475, 667, 515, 707, 551, 743, 565, 757, 530, 722, 492, 684, 529, 721, 561, 753, 525, 717, 485, 677, 524, 716, 560, 752, 559, 751, 523, 715, 484, 676, 446, 638, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 458, 650, 499, 691, 538, 730, 572, 764, 543, 735, 505, 697, 466, 658, 507, 699, 545, 737, 508, 700, 477, 669, 516, 708, 552, 744, 576, 768, 542, 734, 504, 696, 464, 656, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 440, 632, 480, 672, 519, 711, 555, 747, 573, 765, 539, 731, 501, 693, 462, 654, 500, 692, 535, 727, 496, 688, 455, 647, 495, 687, 534, 726, 569, 761, 547, 739, 510, 702, 470, 662, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 448, 640, 488, 680, 528, 720, 564, 756, 556, 748, 520, 712, 481, 673, 444, 636, 476, 668, 512, 704, 472, 664, 433, 625, 471, 663, 511, 703, 548, 740, 568, 760, 533, 725, 494, 686, 454, 646, 420, 612, 400, 592)(395, 587, 410, 602, 438, 630, 415, 607, 445, 637, 483, 675, 522, 714, 558, 750, 563, 755, 527, 719, 487, 679, 449, 641, 489, 681, 452, 644, 419, 611, 451, 643, 491, 683, 531, 723, 566, 758, 549, 741, 513, 705, 473, 665, 434, 626, 407, 599)(397, 589, 413, 605, 443, 635, 482, 674, 521, 713, 557, 749, 562, 754, 526, 718, 486, 678, 447, 639, 418, 610, 450, 642, 490, 682, 453, 645, 493, 685, 532, 724, 567, 759, 550, 742, 514, 706, 474, 666, 435, 627, 409, 601, 437, 629, 414, 606)(402, 594, 424, 616, 460, 652, 427, 619, 463, 655, 503, 695, 541, 733, 575, 767, 554, 746, 518, 710, 479, 671, 441, 633, 467, 659, 430, 622, 405, 597, 429, 621, 465, 657, 506, 698, 544, 736, 570, 762, 536, 728, 497, 689, 456, 648, 421, 613)(403, 595, 425, 617, 461, 653, 502, 694, 540, 732, 574, 766, 553, 745, 517, 709, 478, 670, 439, 631, 412, 604, 442, 634, 469, 661, 431, 623, 468, 660, 509, 701, 546, 738, 571, 763, 537, 729, 498, 690, 457, 649, 423, 615, 459, 651, 426, 618)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 437)(26, 438)(27, 440)(28, 442)(29, 443)(30, 397)(31, 445)(32, 398)(33, 448)(34, 450)(35, 451)(36, 400)(37, 402)(38, 458)(39, 459)(40, 460)(41, 461)(42, 403)(43, 463)(44, 404)(45, 465)(46, 405)(47, 468)(48, 406)(49, 471)(50, 407)(51, 409)(52, 475)(53, 414)(54, 415)(55, 412)(56, 480)(57, 467)(58, 469)(59, 482)(60, 476)(61, 483)(62, 416)(63, 418)(64, 488)(65, 489)(66, 490)(67, 491)(68, 419)(69, 493)(70, 420)(71, 495)(72, 421)(73, 423)(74, 499)(75, 426)(76, 427)(77, 502)(78, 500)(79, 503)(80, 428)(81, 506)(82, 507)(83, 430)(84, 509)(85, 431)(86, 432)(87, 511)(88, 433)(89, 434)(90, 435)(91, 515)(92, 512)(93, 516)(94, 439)(95, 441)(96, 519)(97, 444)(98, 521)(99, 522)(100, 446)(101, 524)(102, 447)(103, 449)(104, 528)(105, 452)(106, 453)(107, 531)(108, 529)(109, 532)(110, 454)(111, 534)(112, 455)(113, 456)(114, 457)(115, 538)(116, 535)(117, 462)(118, 540)(119, 541)(120, 464)(121, 466)(122, 544)(123, 545)(124, 477)(125, 546)(126, 470)(127, 548)(128, 472)(129, 473)(130, 474)(131, 551)(132, 552)(133, 478)(134, 479)(135, 555)(136, 481)(137, 557)(138, 558)(139, 484)(140, 560)(141, 485)(142, 486)(143, 487)(144, 564)(145, 561)(146, 492)(147, 566)(148, 567)(149, 494)(150, 569)(151, 496)(152, 497)(153, 498)(154, 572)(155, 501)(156, 574)(157, 575)(158, 504)(159, 505)(160, 570)(161, 508)(162, 571)(163, 510)(164, 568)(165, 513)(166, 514)(167, 565)(168, 576)(169, 517)(170, 518)(171, 573)(172, 520)(173, 562)(174, 563)(175, 523)(176, 559)(177, 525)(178, 526)(179, 527)(180, 556)(181, 530)(182, 549)(183, 550)(184, 533)(185, 547)(186, 536)(187, 537)(188, 543)(189, 539)(190, 553)(191, 554)(192, 542)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2997
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 8^48, 48^8 ]

E21.2997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^4, (Y3^-3 * Y2 * Y3^-1)^2, (Y3^4 * Y2)^2, (Y3^-1 * Y2 * Y3^-1)^4, Y3 * Y2 * Y3^-1 * Y2 * Y3^5 * Y2 * Y3^-5 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 443, 635)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 450, 642)(421, 613, 442, 634)(423, 615, 457, 649)(424, 616, 459, 651)(425, 617, 460, 652)(426, 618, 455, 647)(428, 620, 435, 627)(429, 621, 464, 656)(431, 623, 468, 660)(432, 624, 467, 659)(433, 625, 471, 663)(437, 629, 478, 670)(438, 630, 480, 672)(439, 631, 481, 673)(440, 632, 476, 668)(444, 636, 487, 679)(445, 637, 488, 680)(448, 640, 479, 671)(449, 641, 470, 662)(451, 643, 482, 674)(452, 644, 495, 687)(453, 645, 483, 675)(454, 646, 493, 685)(456, 648, 500, 692)(458, 650, 469, 661)(461, 653, 472, 664)(462, 654, 474, 666)(463, 655, 503, 695)(465, 657, 510, 702)(466, 658, 511, 703)(473, 665, 518, 710)(475, 667, 516, 708)(477, 669, 523, 715)(484, 676, 526, 718)(485, 677, 508, 700)(486, 678, 531, 723)(489, 681, 524, 716)(490, 682, 522, 714)(491, 683, 525, 717)(492, 684, 533, 725)(494, 686, 527, 719)(496, 688, 535, 727)(497, 689, 536, 728)(498, 690, 540, 732)(499, 691, 513, 705)(501, 693, 512, 704)(502, 694, 514, 706)(504, 696, 517, 709)(505, 697, 544, 736)(506, 698, 545, 737)(507, 699, 548, 740)(509, 701, 551, 743)(515, 707, 553, 745)(519, 711, 555, 747)(520, 712, 556, 748)(521, 713, 560, 752)(528, 720, 564, 756)(529, 721, 565, 757)(530, 722, 568, 760)(532, 724, 571, 763)(534, 726, 563, 755)(537, 729, 557, 749)(538, 730, 562, 754)(539, 731, 572, 764)(541, 733, 561, 753)(542, 734, 558, 750)(543, 735, 554, 746)(546, 738, 566, 758)(547, 739, 570, 762)(549, 741, 569, 761)(550, 742, 567, 759)(552, 744, 573, 765)(559, 751, 574, 766)(575, 767, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 444)(32, 445)(33, 400)(34, 449)(35, 401)(36, 452)(37, 454)(38, 455)(39, 458)(40, 404)(41, 461)(42, 405)(43, 462)(44, 406)(45, 465)(46, 466)(47, 408)(48, 470)(49, 409)(50, 473)(51, 475)(52, 476)(53, 479)(54, 412)(55, 482)(56, 413)(57, 483)(58, 414)(59, 485)(60, 427)(61, 489)(62, 416)(63, 491)(64, 417)(65, 426)(66, 494)(67, 419)(68, 424)(69, 420)(70, 498)(71, 499)(72, 422)(73, 486)(74, 503)(75, 492)(76, 487)(77, 505)(78, 506)(79, 428)(80, 508)(81, 441)(82, 512)(83, 430)(84, 514)(85, 431)(86, 440)(87, 517)(88, 433)(89, 438)(90, 434)(91, 521)(92, 522)(93, 436)(94, 509)(95, 526)(96, 515)(97, 510)(98, 528)(99, 529)(100, 442)(101, 459)(102, 443)(103, 532)(104, 533)(105, 535)(106, 446)(107, 536)(108, 447)(109, 448)(110, 538)(111, 450)(112, 451)(113, 453)(114, 542)(115, 539)(116, 543)(117, 456)(118, 457)(119, 546)(120, 460)(121, 548)(122, 549)(123, 463)(124, 480)(125, 464)(126, 552)(127, 553)(128, 555)(129, 467)(130, 556)(131, 468)(132, 469)(133, 558)(134, 471)(135, 472)(136, 474)(137, 562)(138, 559)(139, 563)(140, 477)(141, 478)(142, 566)(143, 481)(144, 568)(145, 569)(146, 484)(147, 500)(148, 490)(149, 572)(150, 488)(151, 557)(152, 560)(153, 493)(154, 561)(155, 495)(156, 496)(157, 497)(158, 554)(159, 570)(160, 501)(161, 502)(162, 564)(163, 504)(164, 565)(165, 567)(166, 507)(167, 523)(168, 513)(169, 574)(170, 511)(171, 537)(172, 540)(173, 516)(174, 541)(175, 518)(176, 519)(177, 520)(178, 534)(179, 550)(180, 524)(181, 525)(182, 544)(183, 527)(184, 545)(185, 547)(186, 530)(187, 531)(188, 575)(189, 551)(190, 576)(191, 571)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2996
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.2998 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|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)^4, (Y1^-4 * Y3)^2, (Y3 * Y1^-4)^2, (Y3 * Y1^-2)^4, Y1^-4 * Y3 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2, Y1^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 80, 272, 124, 316, 167, 359, 156, 348, 185, 377, 190, 382, 192, 384, 191, 383, 188, 380, 158, 350, 186, 378, 166, 358, 123, 315, 79, 271, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 101, 293, 147, 339, 182, 374, 145, 337, 97, 289, 144, 336, 175, 367, 189, 381, 181, 373, 140, 332, 118, 310, 161, 353, 174, 366, 128, 320, 82, 274, 46, 238, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 43, 235, 78, 270, 122, 314, 165, 357, 183, 375, 136, 328, 114, 306, 153, 345, 187, 379, 150, 342, 103, 295, 64, 256, 108, 300, 155, 347, 171, 363, 126, 318, 81, 273, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 71, 263, 115, 307, 159, 351, 184, 376, 143, 335, 113, 305, 67, 259, 112, 304, 133, 325, 180, 372, 142, 334, 104, 296, 151, 343, 168, 360, 132, 324, 85, 277, 48, 240, 24, 216, 47, 239, 40, 232, 20, 212)(12, 204, 25, 217, 49, 241, 42, 234, 21, 213, 41, 233, 76, 268, 120, 312, 163, 355, 177, 369, 146, 338, 111, 303, 154, 346, 107, 299, 139, 331, 94, 286, 141, 333, 109, 301, 157, 349, 169, 361, 125, 317, 90, 282, 52, 244, 26, 218)(16, 208, 33, 225, 63, 255, 106, 298, 70, 262, 84, 276, 130, 322, 176, 368, 164, 356, 121, 313, 77, 269, 91, 283, 134, 326, 87, 279, 50, 242, 29, 221, 56, 248, 96, 288, 138, 330, 170, 362, 148, 340, 110, 302, 65, 257, 34, 226)(17, 209, 35, 227, 66, 258, 100, 292, 127, 319, 172, 364, 162, 354, 119, 311, 74, 266, 39, 231, 73, 265, 117, 309, 129, 321, 83, 275, 51, 243, 88, 280, 135, 327, 179, 371, 149, 341, 102, 294, 60, 252, 95, 287, 55, 247, 28, 220)(32, 224, 61, 253, 86, 278, 69, 261, 36, 228, 68, 260, 89, 281, 137, 329, 173, 365, 160, 352, 116, 308, 72, 264, 93, 285, 54, 246, 92, 284, 75, 267, 99, 291, 57, 249, 98, 290, 131, 323, 178, 370, 152, 344, 105, 297, 62, 254)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 448)(35, 451)(36, 402)(37, 454)(38, 456)(39, 403)(40, 459)(41, 461)(42, 457)(43, 406)(44, 443)(45, 465)(46, 407)(47, 467)(48, 468)(49, 470)(50, 409)(51, 410)(52, 473)(53, 475)(54, 411)(55, 478)(56, 481)(57, 414)(58, 484)(59, 428)(60, 415)(61, 487)(62, 488)(63, 491)(64, 418)(65, 493)(66, 495)(67, 419)(68, 498)(69, 496)(70, 421)(71, 494)(72, 422)(73, 426)(74, 502)(75, 424)(76, 489)(77, 425)(78, 486)(79, 499)(80, 509)(81, 429)(82, 511)(83, 431)(84, 432)(85, 515)(86, 433)(87, 517)(88, 520)(89, 436)(90, 522)(91, 437)(92, 523)(93, 524)(94, 439)(95, 526)(96, 527)(97, 440)(98, 530)(99, 528)(100, 442)(101, 532)(102, 462)(103, 445)(104, 446)(105, 460)(106, 537)(107, 447)(108, 540)(109, 449)(110, 455)(111, 450)(112, 453)(113, 542)(114, 452)(115, 463)(116, 541)(117, 534)(118, 458)(119, 539)(120, 546)(121, 535)(122, 544)(123, 547)(124, 552)(125, 464)(126, 554)(127, 466)(128, 557)(129, 559)(130, 561)(131, 469)(132, 563)(133, 471)(134, 565)(135, 566)(136, 472)(137, 568)(138, 474)(139, 476)(140, 477)(141, 569)(142, 479)(143, 480)(144, 483)(145, 570)(146, 482)(147, 562)(148, 485)(149, 553)(150, 501)(151, 505)(152, 555)(153, 490)(154, 572)(155, 503)(156, 492)(157, 500)(158, 497)(159, 556)(160, 506)(161, 551)(162, 504)(163, 507)(164, 558)(165, 560)(166, 567)(167, 545)(168, 508)(169, 533)(170, 510)(171, 536)(172, 543)(173, 512)(174, 548)(175, 513)(176, 549)(177, 514)(178, 531)(179, 516)(180, 574)(181, 518)(182, 519)(183, 550)(184, 521)(185, 525)(186, 529)(187, 575)(188, 538)(189, 576)(190, 564)(191, 571)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.2995
Graph:: simple bipartite
	v = 200 e = 384 f = 144
	degree seq :: [ 2^192, 48^8 ]

E21.2999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^3 * Y1 * Y2)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, (Y2^-1 * Y1 * Y2^-1)^4, Y2^2 * Y1 * Y2^-5 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 59, 251)(33, 225, 63, 255)(34, 226, 62, 254)(35, 227, 66, 258)(37, 229, 58, 250)(39, 231, 73, 265)(40, 232, 75, 267)(41, 233, 76, 268)(42, 234, 71, 263)(44, 236, 51, 243)(45, 237, 80, 272)(47, 239, 84, 276)(48, 240, 83, 275)(49, 241, 87, 279)(53, 245, 94, 286)(54, 246, 96, 288)(55, 247, 97, 289)(56, 248, 92, 284)(60, 252, 103, 295)(61, 253, 104, 296)(64, 256, 95, 287)(65, 257, 86, 278)(67, 259, 98, 290)(68, 260, 111, 303)(69, 261, 99, 291)(70, 262, 109, 301)(72, 264, 116, 308)(74, 266, 85, 277)(77, 269, 88, 280)(78, 270, 90, 282)(79, 271, 119, 311)(81, 273, 126, 318)(82, 274, 127, 319)(89, 281, 134, 326)(91, 283, 132, 324)(93, 285, 139, 331)(100, 292, 142, 334)(101, 293, 124, 316)(102, 294, 147, 339)(105, 297, 140, 332)(106, 298, 138, 330)(107, 299, 141, 333)(108, 300, 149, 341)(110, 302, 143, 335)(112, 304, 151, 343)(113, 305, 152, 344)(114, 306, 156, 348)(115, 307, 129, 321)(117, 309, 128, 320)(118, 310, 130, 322)(120, 312, 133, 325)(121, 313, 160, 352)(122, 314, 161, 353)(123, 315, 164, 356)(125, 317, 167, 359)(131, 323, 169, 361)(135, 327, 171, 363)(136, 328, 172, 364)(137, 329, 176, 368)(144, 336, 180, 372)(145, 337, 181, 373)(146, 338, 184, 376)(148, 340, 187, 379)(150, 342, 179, 371)(153, 345, 173, 365)(154, 346, 178, 370)(155, 347, 188, 380)(157, 349, 177, 369)(158, 350, 174, 366)(159, 351, 170, 362)(162, 354, 182, 374)(163, 355, 186, 378)(165, 357, 185, 377)(166, 358, 183, 375)(168, 360, 189, 381)(175, 367, 190, 382)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 454, 646, 498, 690, 542, 734, 554, 746, 511, 703, 553, 745, 574, 766, 576, 768, 573, 765, 551, 743, 523, 715, 563, 755, 550, 742, 507, 699, 463, 655, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 475, 667, 521, 713, 562, 754, 534, 726, 488, 680, 533, 725, 572, 764, 575, 767, 571, 763, 531, 723, 500, 692, 543, 735, 570, 762, 530, 722, 484, 676, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 444, 636, 427, 619, 462, 654, 506, 698, 549, 741, 567, 759, 527, 719, 481, 673, 510, 702, 552, 744, 513, 705, 467, 659, 430, 622, 466, 658, 512, 704, 555, 747, 537, 729, 493, 685, 448, 640, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 458, 650, 503, 695, 546, 738, 564, 756, 524, 716, 477, 669, 436, 628, 476, 668, 522, 714, 559, 751, 518, 710, 471, 663, 517, 709, 558, 750, 541, 733, 497, 689, 453, 645, 420, 612, 452, 644, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 465, 657, 441, 633, 483, 675, 529, 721, 569, 761, 547, 739, 504, 696, 460, 652, 487, 679, 532, 724, 490, 682, 446, 638, 416, 608, 445, 637, 489, 681, 535, 727, 557, 749, 516, 708, 469, 661, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 479, 671, 526, 718, 566, 758, 544, 736, 501, 693, 456, 648, 422, 614, 455, 647, 499, 691, 539, 731, 495, 687, 450, 642, 494, 686, 538, 730, 561, 753, 520, 712, 474, 666, 434, 626, 473, 665, 438, 630, 412, 604)(401, 593, 418, 610, 449, 641, 426, 618, 405, 597, 425, 617, 461, 653, 505, 697, 548, 740, 565, 757, 525, 717, 478, 670, 509, 701, 464, 656, 508, 700, 480, 672, 515, 707, 468, 660, 514, 706, 556, 748, 540, 732, 496, 688, 451, 643, 419, 611)(409, 601, 432, 624, 470, 662, 440, 632, 413, 605, 439, 631, 482, 674, 528, 720, 568, 760, 545, 737, 502, 694, 457, 649, 486, 678, 443, 635, 485, 677, 459, 651, 492, 684, 447, 639, 491, 683, 536, 728, 560, 752, 519, 711, 472, 664, 433, 625)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 443)(32, 400)(33, 447)(34, 446)(35, 450)(36, 402)(37, 442)(38, 403)(39, 457)(40, 459)(41, 460)(42, 455)(43, 406)(44, 435)(45, 464)(46, 408)(47, 468)(48, 467)(49, 471)(50, 410)(51, 428)(52, 411)(53, 478)(54, 480)(55, 481)(56, 476)(57, 414)(58, 421)(59, 415)(60, 487)(61, 488)(62, 418)(63, 417)(64, 479)(65, 470)(66, 419)(67, 482)(68, 495)(69, 483)(70, 493)(71, 426)(72, 500)(73, 423)(74, 469)(75, 424)(76, 425)(77, 472)(78, 474)(79, 503)(80, 429)(81, 510)(82, 511)(83, 432)(84, 431)(85, 458)(86, 449)(87, 433)(88, 461)(89, 518)(90, 462)(91, 516)(92, 440)(93, 523)(94, 437)(95, 448)(96, 438)(97, 439)(98, 451)(99, 453)(100, 526)(101, 508)(102, 531)(103, 444)(104, 445)(105, 524)(106, 522)(107, 525)(108, 533)(109, 454)(110, 527)(111, 452)(112, 535)(113, 536)(114, 540)(115, 513)(116, 456)(117, 512)(118, 514)(119, 463)(120, 517)(121, 544)(122, 545)(123, 548)(124, 485)(125, 551)(126, 465)(127, 466)(128, 501)(129, 499)(130, 502)(131, 553)(132, 475)(133, 504)(134, 473)(135, 555)(136, 556)(137, 560)(138, 490)(139, 477)(140, 489)(141, 491)(142, 484)(143, 494)(144, 564)(145, 565)(146, 568)(147, 486)(148, 571)(149, 492)(150, 563)(151, 496)(152, 497)(153, 557)(154, 562)(155, 572)(156, 498)(157, 561)(158, 558)(159, 554)(160, 505)(161, 506)(162, 566)(163, 570)(164, 507)(165, 569)(166, 567)(167, 509)(168, 573)(169, 515)(170, 543)(171, 519)(172, 520)(173, 537)(174, 542)(175, 574)(176, 521)(177, 541)(178, 538)(179, 534)(180, 528)(181, 529)(182, 546)(183, 550)(184, 530)(185, 549)(186, 547)(187, 532)(188, 539)(189, 552)(190, 559)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3000
Graph:: bipartite
	v = 104 e = 384 f = 240
	degree seq :: [ 4^96, 48^8 ]

E21.3000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 : C2) : C2)) : C2 (small group id <192, 34>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y1)^2, (Y3 * Y1^-1)^4, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^7 * Y1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 60, 252, 29, 221)(17, 209, 37, 229, 71, 263, 39, 231)(20, 212, 43, 235, 78, 270, 41, 233)(22, 214, 47, 239, 82, 274, 45, 237)(24, 216, 51, 243, 79, 271, 44, 236)(26, 218, 46, 238, 66, 258, 42, 234)(27, 219, 55, 247, 93, 285, 57, 249)(30, 222, 58, 250, 68, 260, 40, 232)(32, 224, 56, 248, 95, 287, 61, 253)(33, 225, 63, 255, 101, 293, 65, 257)(36, 228, 69, 261, 108, 300, 67, 259)(38, 230, 73, 265, 109, 301, 70, 262)(48, 240, 64, 256, 103, 295, 84, 276)(50, 242, 77, 269, 117, 309, 87, 279)(52, 244, 80, 272, 104, 296, 86, 278)(53, 245, 88, 280, 123, 315, 85, 277)(54, 246, 75, 267, 112, 304, 92, 284)(59, 251, 97, 289, 132, 324, 94, 286)(62, 254, 74, 266, 110, 302, 96, 288)(72, 264, 107, 299, 146, 338, 111, 303)(76, 268, 105, 297, 141, 333, 116, 308)(81, 273, 121, 313, 140, 332, 102, 294)(83, 275, 124, 316, 145, 337, 106, 298)(89, 281, 122, 314, 142, 334, 118, 310)(90, 282, 125, 317, 143, 335, 119, 311)(91, 283, 126, 318, 160, 352, 129, 321)(98, 290, 133, 325, 147, 339, 113, 305)(99, 291, 134, 326, 148, 340, 114, 306)(100, 292, 137, 329, 152, 344, 115, 307)(120, 312, 156, 348, 178, 370, 144, 336)(127, 319, 155, 347, 176, 368, 159, 351)(128, 320, 151, 343, 177, 369, 161, 353)(130, 322, 164, 356, 188, 380, 162, 354)(131, 323, 165, 357, 184, 376, 166, 358)(135, 327, 149, 341, 182, 374, 169, 361)(136, 328, 150, 342, 181, 373, 168, 360)(138, 330, 153, 345, 185, 377, 172, 364)(139, 331, 174, 366, 180, 372, 173, 365)(154, 346, 186, 378, 163, 355, 187, 379)(157, 349, 179, 371, 175, 367, 189, 381)(158, 350, 191, 383, 171, 363, 190, 382)(167, 359, 183, 375, 170, 362, 192, 384)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 437)(26, 438)(27, 440)(28, 442)(29, 443)(30, 397)(31, 445)(32, 398)(33, 448)(34, 450)(35, 451)(36, 400)(37, 402)(38, 458)(39, 459)(40, 460)(41, 461)(42, 403)(43, 463)(44, 404)(45, 465)(46, 405)(47, 468)(48, 406)(49, 471)(50, 407)(51, 409)(52, 475)(53, 414)(54, 415)(55, 412)(56, 480)(57, 467)(58, 469)(59, 482)(60, 476)(61, 483)(62, 416)(63, 418)(64, 488)(65, 489)(66, 490)(67, 491)(68, 419)(69, 493)(70, 420)(71, 495)(72, 421)(73, 423)(74, 499)(75, 426)(76, 427)(77, 502)(78, 500)(79, 503)(80, 428)(81, 506)(82, 507)(83, 430)(84, 509)(85, 431)(86, 432)(87, 511)(88, 433)(89, 434)(90, 435)(91, 515)(92, 512)(93, 516)(94, 439)(95, 441)(96, 519)(97, 444)(98, 521)(99, 522)(100, 446)(101, 524)(102, 447)(103, 449)(104, 528)(105, 452)(106, 453)(107, 531)(108, 529)(109, 532)(110, 454)(111, 534)(112, 455)(113, 456)(114, 457)(115, 538)(116, 535)(117, 462)(118, 540)(119, 541)(120, 464)(121, 466)(122, 544)(123, 545)(124, 477)(125, 546)(126, 470)(127, 548)(128, 472)(129, 473)(130, 474)(131, 551)(132, 552)(133, 478)(134, 479)(135, 555)(136, 481)(137, 557)(138, 558)(139, 484)(140, 560)(141, 485)(142, 486)(143, 487)(144, 564)(145, 561)(146, 492)(147, 566)(148, 567)(149, 494)(150, 569)(151, 496)(152, 497)(153, 498)(154, 572)(155, 501)(156, 574)(157, 575)(158, 504)(159, 505)(160, 570)(161, 508)(162, 571)(163, 510)(164, 568)(165, 513)(166, 514)(167, 565)(168, 576)(169, 517)(170, 518)(171, 573)(172, 520)(173, 562)(174, 563)(175, 523)(176, 559)(177, 525)(178, 526)(179, 527)(180, 556)(181, 530)(182, 549)(183, 550)(184, 533)(185, 547)(186, 536)(187, 537)(188, 543)(189, 539)(190, 553)(191, 554)(192, 542)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.2999
Graph:: simple bipartite
	v = 240 e = 384 f = 104
	degree seq :: [ 2^192, 8^48 ]

E21.3001 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 85, 101, 117, 133, 149, 165, 164, 148, 132, 116, 100, 84, 67, 44, 22, 10, 4)(3, 7, 15, 31, 59, 77, 93, 109, 125, 141, 157, 173, 180, 172, 153, 135, 118, 108, 89, 70, 46, 37, 18, 8)(6, 13, 27, 53, 43, 66, 83, 99, 115, 131, 147, 163, 179, 186, 169, 151, 134, 124, 105, 87, 69, 58, 30, 14)(9, 19, 38, 64, 81, 97, 113, 129, 145, 161, 177, 181, 166, 156, 137, 119, 102, 92, 72, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 65, 82, 98, 114, 130, 146, 162, 178, 183, 167, 150, 140, 121, 103, 86, 76, 52, 26)(16, 33, 50, 29, 56, 71, 90, 104, 122, 136, 154, 168, 184, 190, 189, 175, 158, 144, 128, 111, 94, 80, 62, 34)(17, 35, 51, 74, 88, 106, 120, 138, 152, 170, 182, 191, 187, 176, 159, 142, 126, 112, 95, 78, 60, 39, 55, 28)(32, 54, 73, 63, 36, 57, 75, 91, 107, 123, 139, 155, 171, 185, 192, 188, 174, 160, 143, 127, 110, 96, 79, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 118)(103, 120)(105, 123)(108, 122)(109, 126)(113, 127)(114, 128)(116, 125)(117, 134)(119, 136)(121, 139)(124, 138)(129, 144)(130, 143)(131, 142)(132, 145)(133, 150)(135, 152)(137, 155)(140, 154)(141, 158)(146, 159)(147, 160)(148, 162)(149, 166)(151, 168)(153, 171)(156, 170)(157, 174)(161, 176)(163, 175)(164, 179)(165, 180)(167, 182)(169, 185)(172, 184)(173, 187)(177, 188)(178, 189)(181, 190)(183, 192)(186, 191)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3002
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.3002 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, (T1 * T2 * T1^-1 * T2 * T1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 32, 25)(15, 26, 33, 27)(21, 35, 29, 36)(22, 37, 30, 38)(23, 34, 44, 39)(40, 49, 42, 50)(41, 51, 43, 52)(45, 53, 47, 54)(46, 55, 48, 56)(57, 65, 59, 66)(58, 67, 60, 68)(61, 69, 63, 70)(62, 71, 64, 72)(73, 113, 75, 117)(74, 115, 76, 119)(77, 121, 89, 123)(78, 124, 82, 126)(79, 127, 100, 129)(80, 130, 81, 132)(83, 135, 93, 137)(84, 138, 85, 140)(86, 142, 90, 144)(87, 145, 88, 147)(91, 151, 92, 153)(94, 156, 95, 158)(96, 160, 97, 162)(98, 164, 99, 166)(101, 169, 102, 171)(103, 173, 104, 175)(105, 177, 106, 179)(107, 181, 108, 183)(109, 185, 110, 187)(111, 189, 112, 191)(114, 188, 116, 192)(118, 186, 120, 190)(122, 180, 128, 184)(125, 172, 136, 176)(131, 161, 143, 165)(133, 163, 150, 167)(134, 170, 155, 174)(139, 146, 157, 152)(141, 148, 159, 154)(149, 178, 168, 182)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 40)(25, 41)(26, 42)(27, 43)(28, 39)(31, 44)(35, 45)(36, 46)(37, 47)(38, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 79)(70, 77)(71, 100)(72, 89)(78, 117)(80, 129)(81, 123)(82, 119)(83, 113)(84, 137)(85, 126)(86, 127)(87, 144)(88, 132)(90, 121)(91, 142)(92, 130)(93, 115)(94, 135)(95, 124)(96, 158)(97, 140)(98, 156)(99, 138)(101, 153)(102, 147)(103, 151)(104, 145)(105, 166)(106, 162)(107, 164)(108, 160)(109, 175)(110, 171)(111, 173)(112, 169)(114, 183)(116, 179)(118, 181)(120, 177)(122, 187)(125, 192)(128, 191)(131, 180)(133, 184)(134, 188)(136, 190)(139, 172)(141, 176)(143, 178)(146, 161)(148, 165)(149, 185)(150, 182)(152, 163)(154, 167)(155, 186)(157, 170)(159, 174)(168, 189)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3001
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.3003 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 43, 27)(20, 34, 48, 35)(23, 39, 28, 40)(25, 41, 30, 42)(31, 44, 36, 45)(33, 46, 38, 47)(49, 57, 51, 58)(50, 59, 52, 60)(53, 61, 55, 62)(54, 63, 56, 64)(65, 73, 67, 74)(66, 75, 68, 76)(69, 90, 71, 89)(70, 93, 72, 92)(77, 134, 84, 135)(78, 137, 87, 138)(79, 139, 80, 140)(81, 130, 82, 132)(83, 144, 96, 145)(85, 133, 101, 147)(86, 149, 104, 150)(88, 136, 109, 152)(91, 141, 111, 154)(94, 142, 112, 156)(95, 158, 100, 159)(97, 143, 102, 146)(98, 129, 99, 131)(103, 164, 108, 165)(105, 148, 110, 151)(106, 153, 107, 155)(113, 161, 115, 162)(114, 157, 116, 160)(117, 167, 119, 168)(118, 163, 120, 166)(121, 171, 123, 172)(122, 169, 124, 170)(125, 175, 127, 176)(126, 173, 128, 174)(177, 188, 178, 186)(179, 187, 180, 185)(181, 191, 182, 189)(183, 192, 184, 190)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 226)(218, 224)(219, 229)(221, 227)(231, 241)(232, 242)(233, 243)(234, 244)(235, 240)(236, 245)(237, 246)(238, 247)(239, 248)(249, 257)(250, 258)(251, 259)(252, 260)(253, 261)(254, 262)(255, 263)(256, 264)(265, 321)(266, 322)(267, 323)(268, 324)(269, 325)(270, 328)(271, 329)(272, 333)(273, 326)(274, 334)(275, 335)(276, 336)(277, 338)(278, 340)(279, 341)(280, 343)(281, 331)(282, 345)(283, 344)(284, 332)(285, 347)(286, 339)(287, 349)(288, 350)(289, 352)(290, 327)(291, 348)(292, 353)(293, 351)(294, 354)(295, 355)(296, 356)(297, 358)(298, 330)(299, 346)(300, 359)(301, 357)(302, 360)(303, 342)(304, 337)(305, 361)(306, 362)(307, 363)(308, 364)(309, 365)(310, 366)(311, 367)(312, 368)(313, 369)(314, 370)(315, 371)(316, 372)(317, 373)(318, 374)(319, 375)(320, 376)(377, 383)(378, 381)(379, 384)(380, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3007
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.3004 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-2, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 96, 112, 128, 144, 160, 176, 164, 148, 132, 116, 100, 84, 68, 52, 32, 14, 5)(2, 7, 17, 38, 57, 73, 89, 105, 121, 137, 153, 169, 184, 172, 156, 140, 124, 108, 92, 76, 60, 44, 20, 8)(4, 12, 27, 49, 65, 81, 97, 113, 129, 145, 161, 177, 187, 173, 157, 141, 125, 109, 93, 77, 61, 45, 22, 9)(6, 15, 33, 53, 69, 85, 101, 117, 133, 149, 165, 180, 190, 181, 166, 150, 134, 118, 102, 86, 70, 54, 36, 16)(11, 26, 35, 31, 51, 67, 83, 99, 115, 131, 147, 163, 179, 188, 174, 158, 142, 126, 110, 94, 78, 62, 46, 23)(13, 29, 50, 66, 82, 98, 114, 130, 146, 162, 178, 189, 175, 159, 143, 127, 111, 95, 79, 63, 47, 25, 34, 30)(18, 40, 21, 43, 59, 75, 91, 107, 123, 139, 155, 171, 186, 191, 182, 167, 151, 135, 119, 103, 87, 71, 55, 37)(19, 41, 58, 74, 90, 106, 122, 138, 154, 170, 185, 192, 183, 168, 152, 136, 120, 104, 88, 72, 56, 39, 28, 42)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 225, 217)(204, 208, 227, 220)(206, 223, 228, 221)(209, 229, 219, 231)(212, 235, 214, 233)(216, 239, 251, 236)(218, 232, 222, 234)(224, 241, 247, 243)(230, 248, 242, 246)(237, 245, 238, 250)(240, 252, 261, 253)(244, 249, 262, 257)(254, 267, 255, 266)(256, 269, 283, 270)(258, 264, 259, 263)(260, 274, 279, 265)(268, 282, 271, 277)(272, 286, 293, 287)(273, 278, 275, 280)(276, 291, 294, 290)(281, 295, 289, 296)(284, 299, 285, 298)(288, 303, 315, 300)(292, 305, 311, 307)(297, 312, 306, 310)(301, 309, 302, 314)(304, 316, 325, 317)(308, 313, 326, 321)(318, 331, 319, 330)(320, 333, 347, 334)(322, 328, 323, 327)(324, 338, 343, 329)(332, 346, 335, 341)(336, 350, 357, 351)(337, 342, 339, 344)(340, 355, 358, 354)(345, 359, 353, 360)(348, 363, 349, 362)(352, 367, 378, 364)(356, 369, 374, 371)(361, 375, 370, 373)(365, 372, 366, 377)(368, 376, 382, 379)(380, 383, 381, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3008
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.3005 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-4)^2, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 118)(103, 120)(105, 123)(108, 122)(109, 126)(113, 127)(114, 128)(116, 125)(117, 134)(119, 136)(121, 139)(124, 138)(129, 144)(130, 143)(131, 142)(132, 145)(133, 150)(135, 152)(137, 155)(140, 154)(141, 158)(146, 159)(147, 160)(148, 162)(149, 166)(151, 168)(153, 171)(156, 170)(157, 174)(161, 176)(163, 175)(164, 179)(165, 180)(167, 182)(169, 185)(172, 184)(173, 187)(177, 188)(178, 189)(181, 190)(183, 192)(186, 191)(193, 194, 197, 203, 215, 237, 260, 277, 293, 309, 325, 341, 357, 356, 340, 324, 308, 292, 276, 259, 236, 214, 202, 196)(195, 199, 207, 223, 251, 269, 285, 301, 317, 333, 349, 365, 372, 364, 345, 327, 310, 300, 281, 262, 238, 229, 210, 200)(198, 205, 219, 245, 235, 258, 275, 291, 307, 323, 339, 355, 371, 378, 361, 343, 326, 316, 297, 279, 261, 250, 222, 206)(201, 211, 230, 256, 273, 289, 305, 321, 337, 353, 369, 373, 358, 348, 329, 311, 294, 284, 264, 240, 216, 239, 232, 212)(204, 217, 241, 234, 213, 233, 257, 274, 290, 306, 322, 338, 354, 370, 375, 359, 342, 332, 313, 295, 278, 268, 244, 218)(208, 225, 242, 221, 248, 263, 282, 296, 314, 328, 346, 360, 376, 382, 381, 367, 350, 336, 320, 303, 286, 272, 254, 226)(209, 227, 243, 266, 280, 298, 312, 330, 344, 362, 374, 383, 379, 368, 351, 334, 318, 304, 287, 270, 252, 231, 247, 220)(224, 246, 265, 255, 228, 249, 267, 283, 299, 315, 331, 347, 363, 377, 384, 380, 366, 352, 335, 319, 302, 288, 271, 253)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3006
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.3006 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1 * T2 * T1)^8 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 43, 235, 27, 219)(20, 212, 34, 226, 48, 240, 35, 227)(23, 215, 39, 231, 28, 220, 40, 232)(25, 217, 41, 233, 30, 222, 42, 234)(31, 223, 44, 236, 36, 228, 45, 237)(33, 225, 46, 238, 38, 230, 47, 239)(49, 241, 57, 249, 51, 243, 58, 250)(50, 242, 59, 251, 52, 244, 60, 252)(53, 245, 61, 253, 55, 247, 62, 254)(54, 246, 63, 255, 56, 248, 64, 256)(65, 257, 73, 265, 67, 259, 74, 266)(66, 258, 75, 267, 68, 260, 76, 268)(69, 261, 106, 298, 71, 263, 104, 296)(70, 262, 101, 293, 72, 264, 99, 291)(77, 269, 138, 330, 96, 288, 140, 332)(78, 270, 142, 334, 91, 283, 144, 336)(79, 271, 146, 338, 108, 300, 141, 333)(80, 272, 149, 341, 109, 301, 151, 343)(81, 273, 153, 345, 102, 294, 137, 329)(82, 274, 156, 348, 103, 295, 158, 350)(83, 275, 160, 352, 85, 277, 162, 354)(84, 276, 163, 355, 120, 312, 159, 351)(86, 278, 129, 321, 88, 280, 133, 325)(87, 279, 168, 360, 115, 307, 166, 358)(89, 281, 148, 340, 92, 284, 145, 337)(90, 282, 173, 365, 93, 285, 174, 366)(94, 286, 155, 347, 97, 289, 152, 344)(95, 287, 177, 369, 98, 290, 176, 368)(100, 292, 183, 375, 105, 297, 181, 373)(107, 299, 131, 323, 110, 302, 135, 327)(111, 303, 172, 364, 113, 305, 171, 363)(112, 304, 157, 349, 114, 306, 154, 346)(116, 308, 179, 371, 118, 310, 178, 370)(117, 309, 150, 342, 119, 311, 147, 339)(121, 313, 180, 372, 123, 315, 191, 383)(122, 314, 139, 331, 124, 316, 164, 356)(125, 317, 175, 367, 127, 319, 192, 384)(126, 318, 143, 335, 128, 320, 169, 361)(130, 322, 165, 357, 134, 326, 187, 379)(132, 324, 161, 353, 136, 328, 184, 376)(167, 359, 182, 374, 189, 381, 186, 378)(170, 362, 185, 377, 190, 382, 188, 380)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 226)(25, 206)(26, 224)(27, 229)(28, 208)(29, 227)(30, 209)(31, 210)(32, 218)(33, 211)(34, 216)(35, 221)(36, 213)(37, 219)(38, 214)(39, 241)(40, 242)(41, 243)(42, 244)(43, 240)(44, 245)(45, 246)(46, 247)(47, 248)(48, 235)(49, 231)(50, 232)(51, 233)(52, 234)(53, 236)(54, 237)(55, 238)(56, 239)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 321)(74, 323)(75, 325)(76, 327)(77, 329)(78, 333)(79, 337)(80, 340)(81, 344)(82, 347)(83, 351)(84, 345)(85, 332)(86, 358)(87, 338)(88, 336)(89, 363)(90, 364)(91, 343)(92, 346)(93, 349)(94, 370)(95, 371)(96, 350)(97, 339)(98, 342)(99, 373)(100, 355)(101, 354)(102, 368)(103, 369)(104, 375)(105, 330)(106, 352)(107, 360)(108, 366)(109, 365)(110, 334)(111, 383)(112, 372)(113, 356)(114, 331)(115, 341)(116, 384)(117, 367)(118, 361)(119, 335)(120, 348)(121, 379)(122, 357)(123, 376)(124, 353)(125, 382)(126, 362)(127, 381)(128, 359)(129, 265)(130, 380)(131, 266)(132, 377)(133, 267)(134, 378)(135, 268)(136, 374)(137, 269)(138, 297)(139, 306)(140, 277)(141, 270)(142, 302)(143, 311)(144, 280)(145, 271)(146, 279)(147, 289)(148, 272)(149, 307)(150, 290)(151, 283)(152, 273)(153, 276)(154, 284)(155, 274)(156, 312)(157, 285)(158, 288)(159, 275)(160, 298)(161, 316)(162, 293)(163, 292)(164, 305)(165, 314)(166, 278)(167, 320)(168, 299)(169, 310)(170, 318)(171, 281)(172, 282)(173, 301)(174, 300)(175, 309)(176, 294)(177, 295)(178, 286)(179, 287)(180, 304)(181, 291)(182, 328)(183, 296)(184, 315)(185, 324)(186, 326)(187, 313)(188, 322)(189, 319)(190, 317)(191, 303)(192, 308)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3005
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.3007 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1^-2, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2^24 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 48, 240, 64, 256, 80, 272, 96, 288, 112, 304, 128, 320, 144, 336, 160, 352, 176, 368, 164, 356, 148, 340, 132, 324, 116, 308, 100, 292, 84, 276, 68, 260, 52, 244, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 57, 249, 73, 265, 89, 281, 105, 297, 121, 313, 137, 329, 153, 345, 169, 361, 184, 376, 172, 364, 156, 348, 140, 332, 124, 316, 108, 300, 92, 284, 76, 268, 60, 252, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 49, 241, 65, 257, 81, 273, 97, 289, 113, 305, 129, 321, 145, 337, 161, 353, 177, 369, 187, 379, 173, 365, 157, 349, 141, 333, 125, 317, 109, 301, 93, 285, 77, 269, 61, 253, 45, 237, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 53, 245, 69, 261, 85, 277, 101, 293, 117, 309, 133, 325, 149, 341, 165, 357, 180, 372, 190, 382, 181, 373, 166, 358, 150, 342, 134, 326, 118, 310, 102, 294, 86, 278, 70, 262, 54, 246, 36, 228, 16, 208)(11, 203, 26, 218, 35, 227, 31, 223, 51, 243, 67, 259, 83, 275, 99, 291, 115, 307, 131, 323, 147, 339, 163, 355, 179, 371, 188, 380, 174, 366, 158, 350, 142, 334, 126, 318, 110, 302, 94, 286, 78, 270, 62, 254, 46, 238, 23, 215)(13, 205, 29, 221, 50, 242, 66, 258, 82, 274, 98, 290, 114, 306, 130, 322, 146, 338, 162, 354, 178, 370, 189, 381, 175, 367, 159, 351, 143, 335, 127, 319, 111, 303, 95, 287, 79, 271, 63, 255, 47, 239, 25, 217, 34, 226, 30, 222)(18, 210, 40, 232, 21, 213, 43, 235, 59, 251, 75, 267, 91, 283, 107, 299, 123, 315, 139, 331, 155, 347, 171, 363, 186, 378, 191, 383, 182, 374, 167, 359, 151, 343, 135, 327, 119, 311, 103, 295, 87, 279, 71, 263, 55, 247, 37, 229)(19, 211, 41, 233, 58, 250, 74, 266, 90, 282, 106, 298, 122, 314, 138, 330, 154, 346, 170, 362, 185, 377, 192, 384, 183, 375, 168, 360, 152, 344, 136, 328, 120, 312, 104, 296, 88, 280, 72, 264, 56, 248, 39, 231, 28, 220, 42, 234)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 233)(23, 225)(24, 239)(25, 202)(26, 232)(27, 231)(28, 204)(29, 206)(30, 234)(31, 228)(32, 241)(33, 217)(34, 207)(35, 220)(36, 221)(37, 219)(38, 248)(39, 209)(40, 222)(41, 212)(42, 218)(43, 214)(44, 216)(45, 245)(46, 250)(47, 251)(48, 252)(49, 247)(50, 246)(51, 224)(52, 249)(53, 238)(54, 230)(55, 243)(56, 242)(57, 262)(58, 237)(59, 236)(60, 261)(61, 240)(62, 267)(63, 266)(64, 269)(65, 244)(66, 264)(67, 263)(68, 274)(69, 253)(70, 257)(71, 258)(72, 259)(73, 260)(74, 254)(75, 255)(76, 282)(77, 283)(78, 256)(79, 277)(80, 286)(81, 278)(82, 279)(83, 280)(84, 291)(85, 268)(86, 275)(87, 265)(88, 273)(89, 295)(90, 271)(91, 270)(92, 299)(93, 298)(94, 293)(95, 272)(96, 303)(97, 296)(98, 276)(99, 294)(100, 305)(101, 287)(102, 290)(103, 289)(104, 281)(105, 312)(106, 284)(107, 285)(108, 288)(109, 309)(110, 314)(111, 315)(112, 316)(113, 311)(114, 310)(115, 292)(116, 313)(117, 302)(118, 297)(119, 307)(120, 306)(121, 326)(122, 301)(123, 300)(124, 325)(125, 304)(126, 331)(127, 330)(128, 333)(129, 308)(130, 328)(131, 327)(132, 338)(133, 317)(134, 321)(135, 322)(136, 323)(137, 324)(138, 318)(139, 319)(140, 346)(141, 347)(142, 320)(143, 341)(144, 350)(145, 342)(146, 343)(147, 344)(148, 355)(149, 332)(150, 339)(151, 329)(152, 337)(153, 359)(154, 335)(155, 334)(156, 363)(157, 362)(158, 357)(159, 336)(160, 367)(161, 360)(162, 340)(163, 358)(164, 369)(165, 351)(166, 354)(167, 353)(168, 345)(169, 375)(170, 348)(171, 349)(172, 352)(173, 372)(174, 377)(175, 378)(176, 376)(177, 374)(178, 373)(179, 356)(180, 366)(181, 361)(182, 371)(183, 370)(184, 382)(185, 365)(186, 364)(187, 368)(188, 383)(189, 384)(190, 379)(191, 381)(192, 380)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3003
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.3008 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-4)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 53, 245)(35, 227, 47, 239)(37, 229, 56, 248)(38, 230, 61, 253)(40, 232, 63, 255)(41, 233, 62, 254)(42, 234, 55, 247)(44, 236, 59, 251)(45, 237, 69, 261)(48, 240, 71, 263)(49, 241, 73, 265)(52, 244, 75, 267)(58, 250, 74, 266)(64, 256, 80, 272)(65, 257, 79, 271)(66, 258, 78, 270)(67, 259, 81, 273)(68, 260, 86, 278)(70, 262, 88, 280)(72, 264, 91, 283)(76, 268, 90, 282)(77, 269, 94, 286)(82, 274, 95, 287)(83, 275, 96, 288)(84, 276, 98, 290)(85, 277, 102, 294)(87, 279, 104, 296)(89, 281, 107, 299)(92, 284, 106, 298)(93, 285, 110, 302)(97, 289, 112, 304)(99, 291, 111, 303)(100, 292, 115, 307)(101, 293, 118, 310)(103, 295, 120, 312)(105, 297, 123, 315)(108, 300, 122, 314)(109, 301, 126, 318)(113, 305, 127, 319)(114, 306, 128, 320)(116, 308, 125, 317)(117, 309, 134, 326)(119, 311, 136, 328)(121, 313, 139, 331)(124, 316, 138, 330)(129, 321, 144, 336)(130, 322, 143, 335)(131, 323, 142, 334)(132, 324, 145, 337)(133, 325, 150, 342)(135, 327, 152, 344)(137, 329, 155, 347)(140, 332, 154, 346)(141, 333, 158, 350)(146, 338, 159, 351)(147, 339, 160, 352)(148, 340, 162, 354)(149, 341, 166, 358)(151, 343, 168, 360)(153, 345, 171, 363)(156, 348, 170, 362)(157, 349, 174, 366)(161, 353, 176, 368)(163, 355, 175, 367)(164, 356, 179, 371)(165, 357, 180, 372)(167, 359, 182, 374)(169, 361, 185, 377)(172, 364, 184, 376)(173, 365, 187, 379)(177, 369, 188, 380)(178, 370, 189, 381)(181, 373, 190, 382)(183, 375, 192, 384)(186, 378, 191, 383)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 246)(33, 242)(34, 208)(35, 243)(36, 249)(37, 210)(38, 256)(39, 247)(40, 212)(41, 257)(42, 213)(43, 258)(44, 214)(45, 260)(46, 229)(47, 232)(48, 216)(49, 234)(50, 221)(51, 266)(52, 218)(53, 235)(54, 265)(55, 220)(56, 263)(57, 267)(58, 222)(59, 269)(60, 231)(61, 224)(62, 226)(63, 228)(64, 273)(65, 274)(66, 275)(67, 236)(68, 277)(69, 250)(70, 238)(71, 282)(72, 240)(73, 255)(74, 280)(75, 283)(76, 244)(77, 285)(78, 252)(79, 253)(80, 254)(81, 289)(82, 290)(83, 291)(84, 259)(85, 293)(86, 268)(87, 261)(88, 298)(89, 262)(90, 296)(91, 299)(92, 264)(93, 301)(94, 272)(95, 270)(96, 271)(97, 305)(98, 306)(99, 307)(100, 276)(101, 309)(102, 284)(103, 278)(104, 314)(105, 279)(106, 312)(107, 315)(108, 281)(109, 317)(110, 288)(111, 286)(112, 287)(113, 321)(114, 322)(115, 323)(116, 292)(117, 325)(118, 300)(119, 294)(120, 330)(121, 295)(122, 328)(123, 331)(124, 297)(125, 333)(126, 304)(127, 302)(128, 303)(129, 337)(130, 338)(131, 339)(132, 308)(133, 341)(134, 316)(135, 310)(136, 346)(137, 311)(138, 344)(139, 347)(140, 313)(141, 349)(142, 318)(143, 319)(144, 320)(145, 353)(146, 354)(147, 355)(148, 324)(149, 357)(150, 332)(151, 326)(152, 362)(153, 327)(154, 360)(155, 363)(156, 329)(157, 365)(158, 336)(159, 334)(160, 335)(161, 369)(162, 370)(163, 371)(164, 340)(165, 356)(166, 348)(167, 342)(168, 376)(169, 343)(170, 374)(171, 377)(172, 345)(173, 372)(174, 352)(175, 350)(176, 351)(177, 373)(178, 375)(179, 378)(180, 364)(181, 358)(182, 383)(183, 359)(184, 382)(185, 384)(186, 361)(187, 368)(188, 366)(189, 367)(190, 381)(191, 379)(192, 380)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3004
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.3009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|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 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 34, 226)(26, 218, 32, 224)(27, 219, 37, 229)(29, 221, 35, 227)(39, 231, 49, 241)(40, 232, 50, 242)(41, 233, 51, 243)(42, 234, 52, 244)(43, 235, 48, 240)(44, 236, 53, 245)(45, 237, 54, 246)(46, 238, 55, 247)(47, 239, 56, 248)(57, 249, 65, 257)(58, 250, 66, 258)(59, 251, 67, 259)(60, 252, 68, 260)(61, 253, 69, 261)(62, 254, 70, 262)(63, 255, 71, 263)(64, 256, 72, 264)(73, 265, 129, 321)(74, 266, 130, 322)(75, 267, 131, 323)(76, 268, 132, 324)(77, 269, 133, 325)(78, 270, 136, 328)(79, 271, 137, 329)(80, 272, 141, 333)(81, 273, 134, 326)(82, 274, 142, 334)(83, 275, 143, 335)(84, 276, 144, 336)(85, 277, 146, 338)(86, 278, 148, 340)(87, 279, 149, 341)(88, 280, 151, 343)(89, 281, 139, 331)(90, 282, 153, 345)(91, 283, 152, 344)(92, 284, 140, 332)(93, 285, 155, 347)(94, 286, 147, 339)(95, 287, 157, 349)(96, 288, 158, 350)(97, 289, 160, 352)(98, 290, 135, 327)(99, 291, 156, 348)(100, 292, 161, 353)(101, 293, 159, 351)(102, 294, 162, 354)(103, 295, 163, 355)(104, 296, 164, 356)(105, 297, 166, 358)(106, 298, 138, 330)(107, 299, 154, 346)(108, 300, 167, 359)(109, 301, 165, 357)(110, 302, 168, 360)(111, 303, 150, 342)(112, 304, 145, 337)(113, 305, 169, 361)(114, 306, 170, 362)(115, 307, 171, 363)(116, 308, 172, 364)(117, 309, 173, 365)(118, 310, 174, 366)(119, 311, 175, 367)(120, 312, 176, 368)(121, 313, 177, 369)(122, 314, 178, 370)(123, 315, 179, 371)(124, 316, 180, 372)(125, 317, 181, 373)(126, 318, 182, 374)(127, 319, 183, 375)(128, 320, 184, 376)(185, 377, 191, 383)(186, 378, 189, 381)(187, 379, 192, 384)(188, 380, 190, 382)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 427, 619, 411, 603)(404, 596, 418, 610, 432, 624, 419, 611)(407, 599, 423, 615, 412, 604, 424, 616)(409, 601, 425, 617, 414, 606, 426, 618)(415, 607, 428, 620, 420, 612, 429, 621)(417, 609, 430, 622, 422, 614, 431, 623)(433, 625, 441, 633, 435, 627, 442, 634)(434, 626, 443, 635, 436, 628, 444, 636)(437, 629, 445, 637, 439, 631, 446, 638)(438, 630, 447, 639, 440, 632, 448, 640)(449, 641, 457, 649, 451, 643, 458, 650)(450, 642, 459, 651, 452, 644, 460, 652)(453, 645, 474, 666, 455, 647, 473, 665)(454, 646, 477, 669, 456, 648, 476, 668)(461, 653, 518, 710, 468, 660, 519, 711)(462, 654, 521, 713, 471, 663, 522, 714)(463, 655, 523, 715, 464, 656, 524, 716)(465, 657, 514, 706, 466, 658, 516, 708)(467, 659, 528, 720, 480, 672, 529, 721)(469, 661, 517, 709, 485, 677, 531, 723)(470, 662, 533, 725, 488, 680, 534, 726)(472, 664, 520, 712, 493, 685, 536, 728)(475, 667, 525, 717, 495, 687, 538, 730)(478, 670, 526, 718, 496, 688, 540, 732)(479, 671, 542, 734, 484, 676, 543, 735)(481, 673, 527, 719, 486, 678, 530, 722)(482, 674, 513, 705, 483, 675, 515, 707)(487, 679, 548, 740, 492, 684, 549, 741)(489, 681, 532, 724, 494, 686, 535, 727)(490, 682, 537, 729, 491, 683, 539, 731)(497, 689, 545, 737, 499, 691, 546, 738)(498, 690, 541, 733, 500, 692, 544, 736)(501, 693, 551, 743, 503, 695, 552, 744)(502, 694, 547, 739, 504, 696, 550, 742)(505, 697, 555, 747, 507, 699, 556, 748)(506, 698, 553, 745, 508, 700, 554, 746)(509, 701, 559, 751, 511, 703, 560, 752)(510, 702, 557, 749, 512, 704, 558, 750)(561, 753, 572, 764, 562, 754, 570, 762)(563, 755, 571, 763, 564, 756, 569, 761)(565, 757, 575, 767, 566, 758, 573, 765)(567, 759, 576, 768, 568, 760, 574, 766)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 418)(25, 398)(26, 416)(27, 421)(28, 400)(29, 419)(30, 401)(31, 402)(32, 410)(33, 403)(34, 408)(35, 413)(36, 405)(37, 411)(38, 406)(39, 433)(40, 434)(41, 435)(42, 436)(43, 432)(44, 437)(45, 438)(46, 439)(47, 440)(48, 427)(49, 423)(50, 424)(51, 425)(52, 426)(53, 428)(54, 429)(55, 430)(56, 431)(57, 449)(58, 450)(59, 451)(60, 452)(61, 453)(62, 454)(63, 455)(64, 456)(65, 441)(66, 442)(67, 443)(68, 444)(69, 445)(70, 446)(71, 447)(72, 448)(73, 513)(74, 514)(75, 515)(76, 516)(77, 517)(78, 520)(79, 521)(80, 525)(81, 518)(82, 526)(83, 527)(84, 528)(85, 530)(86, 532)(87, 533)(88, 535)(89, 523)(90, 537)(91, 536)(92, 524)(93, 539)(94, 531)(95, 541)(96, 542)(97, 544)(98, 519)(99, 540)(100, 545)(101, 543)(102, 546)(103, 547)(104, 548)(105, 550)(106, 522)(107, 538)(108, 551)(109, 549)(110, 552)(111, 534)(112, 529)(113, 553)(114, 554)(115, 555)(116, 556)(117, 557)(118, 558)(119, 559)(120, 560)(121, 561)(122, 562)(123, 563)(124, 564)(125, 565)(126, 566)(127, 567)(128, 568)(129, 457)(130, 458)(131, 459)(132, 460)(133, 461)(134, 465)(135, 482)(136, 462)(137, 463)(138, 490)(139, 473)(140, 476)(141, 464)(142, 466)(143, 467)(144, 468)(145, 496)(146, 469)(147, 478)(148, 470)(149, 471)(150, 495)(151, 472)(152, 475)(153, 474)(154, 491)(155, 477)(156, 483)(157, 479)(158, 480)(159, 485)(160, 481)(161, 484)(162, 486)(163, 487)(164, 488)(165, 493)(166, 489)(167, 492)(168, 494)(169, 497)(170, 498)(171, 499)(172, 500)(173, 501)(174, 502)(175, 503)(176, 504)(177, 505)(178, 506)(179, 507)(180, 508)(181, 509)(182, 510)(183, 511)(184, 512)(185, 575)(186, 573)(187, 576)(188, 574)(189, 570)(190, 572)(191, 569)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3012
Graph:: bipartite
	v = 144 e = 384 f = 200
	degree seq :: [ 4^96, 8^48 ]

E21.3010 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^3, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^4, Y2^24 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 33, 225, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 36, 228, 29, 221)(17, 209, 37, 229, 27, 219, 39, 231)(20, 212, 43, 235, 22, 214, 41, 233)(24, 216, 47, 239, 59, 251, 44, 236)(26, 218, 40, 232, 30, 222, 42, 234)(32, 224, 49, 241, 55, 247, 51, 243)(38, 230, 56, 248, 50, 242, 54, 246)(45, 237, 53, 245, 46, 238, 58, 250)(48, 240, 60, 252, 69, 261, 61, 253)(52, 244, 57, 249, 70, 262, 65, 257)(62, 254, 75, 267, 63, 255, 74, 266)(64, 256, 77, 269, 91, 283, 78, 270)(66, 258, 72, 264, 67, 259, 71, 263)(68, 260, 82, 274, 87, 279, 73, 265)(76, 268, 90, 282, 79, 271, 85, 277)(80, 272, 94, 286, 101, 293, 95, 287)(81, 273, 86, 278, 83, 275, 88, 280)(84, 276, 99, 291, 102, 294, 98, 290)(89, 281, 103, 295, 97, 289, 104, 296)(92, 284, 107, 299, 93, 285, 106, 298)(96, 288, 111, 303, 123, 315, 108, 300)(100, 292, 113, 305, 119, 311, 115, 307)(105, 297, 120, 312, 114, 306, 118, 310)(109, 301, 117, 309, 110, 302, 122, 314)(112, 304, 124, 316, 133, 325, 125, 317)(116, 308, 121, 313, 134, 326, 129, 321)(126, 318, 139, 331, 127, 319, 138, 330)(128, 320, 141, 333, 155, 347, 142, 334)(130, 322, 136, 328, 131, 323, 135, 327)(132, 324, 146, 338, 151, 343, 137, 329)(140, 332, 154, 346, 143, 335, 149, 341)(144, 336, 158, 350, 165, 357, 159, 351)(145, 337, 150, 342, 147, 339, 152, 344)(148, 340, 163, 355, 166, 358, 162, 354)(153, 345, 167, 359, 161, 353, 168, 360)(156, 348, 171, 363, 157, 349, 170, 362)(160, 352, 175, 367, 186, 378, 172, 364)(164, 356, 177, 369, 182, 374, 179, 371)(169, 361, 183, 375, 178, 370, 181, 373)(173, 365, 180, 372, 174, 366, 185, 377)(176, 368, 184, 376, 190, 382, 187, 379)(188, 380, 191, 383, 189, 381, 192, 384)(385, 577, 387, 579, 394, 586, 408, 600, 432, 624, 448, 640, 464, 656, 480, 672, 496, 688, 512, 704, 528, 720, 544, 736, 560, 752, 548, 740, 532, 724, 516, 708, 500, 692, 484, 676, 468, 660, 452, 644, 436, 628, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 441, 633, 457, 649, 473, 665, 489, 681, 505, 697, 521, 713, 537, 729, 553, 745, 568, 760, 556, 748, 540, 732, 524, 716, 508, 700, 492, 684, 476, 668, 460, 652, 444, 636, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 433, 625, 449, 641, 465, 657, 481, 673, 497, 689, 513, 705, 529, 721, 545, 737, 561, 753, 571, 763, 557, 749, 541, 733, 525, 717, 509, 701, 493, 685, 477, 669, 461, 653, 445, 637, 429, 621, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 437, 629, 453, 645, 469, 661, 485, 677, 501, 693, 517, 709, 533, 725, 549, 741, 564, 756, 574, 766, 565, 757, 550, 742, 534, 726, 518, 710, 502, 694, 486, 678, 470, 662, 454, 646, 438, 630, 420, 612, 400, 592)(395, 587, 410, 602, 419, 611, 415, 607, 435, 627, 451, 643, 467, 659, 483, 675, 499, 691, 515, 707, 531, 723, 547, 739, 563, 755, 572, 764, 558, 750, 542, 734, 526, 718, 510, 702, 494, 686, 478, 670, 462, 654, 446, 638, 430, 622, 407, 599)(397, 589, 413, 605, 434, 626, 450, 642, 466, 658, 482, 674, 498, 690, 514, 706, 530, 722, 546, 738, 562, 754, 573, 765, 559, 751, 543, 735, 527, 719, 511, 703, 495, 687, 479, 671, 463, 655, 447, 639, 431, 623, 409, 601, 418, 610, 414, 606)(402, 594, 424, 616, 405, 597, 427, 619, 443, 635, 459, 651, 475, 667, 491, 683, 507, 699, 523, 715, 539, 731, 555, 747, 570, 762, 575, 767, 566, 758, 551, 743, 535, 727, 519, 711, 503, 695, 487, 679, 471, 663, 455, 647, 439, 631, 421, 613)(403, 595, 425, 617, 442, 634, 458, 650, 474, 666, 490, 682, 506, 698, 522, 714, 538, 730, 554, 746, 569, 761, 576, 768, 567, 759, 552, 744, 536, 728, 520, 712, 504, 696, 488, 680, 472, 664, 456, 648, 440, 632, 423, 615, 412, 604, 426, 618)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 427)(22, 393)(23, 395)(24, 432)(25, 418)(26, 419)(27, 433)(28, 426)(29, 434)(30, 397)(31, 435)(32, 398)(33, 437)(34, 414)(35, 415)(36, 400)(37, 402)(38, 441)(39, 412)(40, 405)(41, 442)(42, 403)(43, 443)(44, 404)(45, 406)(46, 407)(47, 409)(48, 448)(49, 449)(50, 450)(51, 451)(52, 416)(53, 453)(54, 420)(55, 421)(56, 423)(57, 457)(58, 458)(59, 459)(60, 428)(61, 429)(62, 430)(63, 431)(64, 464)(65, 465)(66, 466)(67, 467)(68, 436)(69, 469)(70, 438)(71, 439)(72, 440)(73, 473)(74, 474)(75, 475)(76, 444)(77, 445)(78, 446)(79, 447)(80, 480)(81, 481)(82, 482)(83, 483)(84, 452)(85, 485)(86, 454)(87, 455)(88, 456)(89, 489)(90, 490)(91, 491)(92, 460)(93, 461)(94, 462)(95, 463)(96, 496)(97, 497)(98, 498)(99, 499)(100, 468)(101, 501)(102, 470)(103, 471)(104, 472)(105, 505)(106, 506)(107, 507)(108, 476)(109, 477)(110, 478)(111, 479)(112, 512)(113, 513)(114, 514)(115, 515)(116, 484)(117, 517)(118, 486)(119, 487)(120, 488)(121, 521)(122, 522)(123, 523)(124, 492)(125, 493)(126, 494)(127, 495)(128, 528)(129, 529)(130, 530)(131, 531)(132, 500)(133, 533)(134, 502)(135, 503)(136, 504)(137, 537)(138, 538)(139, 539)(140, 508)(141, 509)(142, 510)(143, 511)(144, 544)(145, 545)(146, 546)(147, 547)(148, 516)(149, 549)(150, 518)(151, 519)(152, 520)(153, 553)(154, 554)(155, 555)(156, 524)(157, 525)(158, 526)(159, 527)(160, 560)(161, 561)(162, 562)(163, 563)(164, 532)(165, 564)(166, 534)(167, 535)(168, 536)(169, 568)(170, 569)(171, 570)(172, 540)(173, 541)(174, 542)(175, 543)(176, 548)(177, 571)(178, 573)(179, 572)(180, 574)(181, 550)(182, 551)(183, 552)(184, 556)(185, 576)(186, 575)(187, 557)(188, 558)(189, 559)(190, 565)(191, 566)(192, 567)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3011
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 8^48, 48^8 ]

E21.3011 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^-3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^12 * Y2 * Y3^-12 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 432, 624)(417, 609, 439, 631)(418, 610, 429, 621)(419, 611, 437, 629)(421, 613, 442, 634)(423, 615, 433, 625)(424, 616, 440, 632)(425, 617, 431, 623)(426, 618, 438, 630)(428, 620, 435, 627)(443, 635, 457, 649)(444, 636, 453, 645)(445, 637, 458, 650)(446, 638, 459, 651)(447, 639, 461, 653)(448, 640, 452, 644)(449, 641, 454, 646)(450, 642, 455, 647)(451, 643, 465, 657)(456, 648, 469, 661)(460, 652, 473, 665)(462, 654, 475, 667)(463, 655, 474, 666)(464, 656, 478, 670)(466, 658, 471, 663)(467, 659, 470, 662)(468, 660, 482, 674)(472, 664, 486, 678)(476, 668, 490, 682)(477, 669, 491, 683)(479, 671, 489, 681)(480, 672, 495, 687)(481, 673, 487, 679)(483, 675, 485, 677)(484, 676, 499, 691)(488, 680, 503, 695)(492, 684, 507, 699)(493, 685, 506, 698)(494, 686, 505, 697)(496, 688, 508, 700)(497, 689, 502, 694)(498, 690, 501, 693)(500, 692, 504, 696)(509, 701, 521, 713)(510, 702, 522, 714)(511, 703, 523, 715)(512, 704, 525, 717)(513, 705, 517, 709)(514, 706, 518, 710)(515, 707, 519, 711)(516, 708, 529, 721)(520, 712, 533, 725)(524, 716, 537, 729)(526, 718, 539, 731)(527, 719, 538, 730)(528, 720, 542, 734)(530, 722, 535, 727)(531, 723, 534, 726)(532, 724, 546, 738)(536, 728, 550, 742)(540, 732, 554, 746)(541, 733, 555, 747)(543, 735, 553, 745)(544, 736, 559, 751)(545, 737, 551, 743)(547, 739, 549, 741)(548, 740, 563, 755)(552, 744, 566, 758)(556, 748, 570, 762)(557, 749, 569, 761)(558, 750, 568, 760)(560, 752, 567, 759)(561, 753, 565, 757)(562, 754, 564, 756)(571, 763, 576, 768)(572, 764, 575, 767)(573, 765, 574, 766)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 430)(32, 441)(33, 400)(34, 444)(35, 401)(36, 436)(37, 447)(38, 438)(39, 448)(40, 404)(41, 449)(42, 405)(43, 450)(44, 406)(45, 416)(46, 427)(47, 408)(48, 453)(49, 409)(50, 422)(51, 456)(52, 424)(53, 457)(54, 412)(55, 458)(56, 413)(57, 459)(58, 414)(59, 417)(60, 426)(61, 419)(62, 420)(63, 464)(64, 465)(65, 466)(66, 467)(67, 428)(68, 431)(69, 440)(70, 433)(71, 434)(72, 472)(73, 473)(74, 474)(75, 475)(76, 442)(77, 443)(78, 445)(79, 446)(80, 480)(81, 481)(82, 482)(83, 483)(84, 451)(85, 452)(86, 454)(87, 455)(88, 488)(89, 489)(90, 490)(91, 491)(92, 460)(93, 461)(94, 462)(95, 463)(96, 496)(97, 497)(98, 498)(99, 499)(100, 468)(101, 469)(102, 470)(103, 471)(104, 504)(105, 505)(106, 506)(107, 507)(108, 476)(109, 477)(110, 478)(111, 479)(112, 512)(113, 513)(114, 514)(115, 515)(116, 484)(117, 485)(118, 486)(119, 487)(120, 520)(121, 521)(122, 522)(123, 523)(124, 492)(125, 493)(126, 494)(127, 495)(128, 528)(129, 529)(130, 530)(131, 531)(132, 500)(133, 501)(134, 502)(135, 503)(136, 536)(137, 537)(138, 538)(139, 539)(140, 508)(141, 509)(142, 510)(143, 511)(144, 544)(145, 545)(146, 546)(147, 547)(148, 516)(149, 517)(150, 518)(151, 519)(152, 552)(153, 553)(154, 554)(155, 555)(156, 524)(157, 525)(158, 526)(159, 527)(160, 560)(161, 561)(162, 562)(163, 563)(164, 532)(165, 533)(166, 534)(167, 535)(168, 567)(169, 568)(170, 569)(171, 570)(172, 540)(173, 541)(174, 542)(175, 543)(176, 548)(177, 573)(178, 572)(179, 571)(180, 549)(181, 550)(182, 551)(183, 556)(184, 576)(185, 575)(186, 574)(187, 557)(188, 558)(189, 559)(190, 564)(191, 565)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3010
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.3012 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^4, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^3 * Y3 * Y1 * Y3 * Y1^-1, Y1 * Y3 * Y1^3 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 68, 260, 85, 277, 101, 293, 117, 309, 133, 325, 149, 341, 165, 357, 164, 356, 148, 340, 132, 324, 116, 308, 100, 292, 84, 276, 67, 259, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 77, 269, 93, 285, 109, 301, 125, 317, 141, 333, 157, 349, 173, 365, 180, 372, 172, 364, 153, 345, 135, 327, 118, 310, 108, 300, 89, 281, 70, 262, 46, 238, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 43, 235, 66, 258, 83, 275, 99, 291, 115, 307, 131, 323, 147, 339, 163, 355, 179, 371, 186, 378, 169, 361, 151, 343, 134, 326, 124, 316, 105, 297, 87, 279, 69, 261, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 64, 256, 81, 273, 97, 289, 113, 305, 129, 321, 145, 337, 161, 353, 177, 369, 181, 373, 166, 358, 156, 348, 137, 329, 119, 311, 102, 294, 92, 284, 72, 264, 48, 240, 24, 216, 47, 239, 40, 232, 20, 212)(12, 204, 25, 217, 49, 241, 42, 234, 21, 213, 41, 233, 65, 257, 82, 274, 98, 290, 114, 306, 130, 322, 146, 338, 162, 354, 178, 370, 183, 375, 167, 359, 150, 342, 140, 332, 121, 313, 103, 295, 86, 278, 76, 268, 52, 244, 26, 218)(16, 208, 33, 225, 50, 242, 29, 221, 56, 248, 71, 263, 90, 282, 104, 296, 122, 314, 136, 328, 154, 346, 168, 360, 184, 376, 190, 382, 189, 381, 175, 367, 158, 350, 144, 336, 128, 320, 111, 303, 94, 286, 80, 272, 62, 254, 34, 226)(17, 209, 35, 227, 51, 243, 74, 266, 88, 280, 106, 298, 120, 312, 138, 330, 152, 344, 170, 362, 182, 374, 191, 383, 187, 379, 176, 368, 159, 351, 142, 334, 126, 318, 112, 304, 95, 287, 78, 270, 60, 252, 39, 231, 55, 247, 28, 220)(32, 224, 54, 246, 73, 265, 63, 255, 36, 228, 57, 249, 75, 267, 91, 283, 107, 299, 123, 315, 139, 331, 155, 347, 171, 363, 185, 377, 192, 384, 188, 380, 174, 366, 160, 352, 143, 335, 127, 319, 110, 302, 96, 288, 79, 271, 61, 253)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 437)(35, 431)(36, 402)(37, 440)(38, 445)(39, 403)(40, 447)(41, 446)(42, 439)(43, 406)(44, 443)(45, 453)(46, 407)(47, 419)(48, 455)(49, 457)(50, 409)(51, 410)(52, 459)(53, 418)(54, 411)(55, 426)(56, 421)(57, 414)(58, 458)(59, 428)(60, 415)(61, 422)(62, 425)(63, 424)(64, 464)(65, 463)(66, 462)(67, 465)(68, 470)(69, 429)(70, 472)(71, 432)(72, 475)(73, 433)(74, 442)(75, 436)(76, 474)(77, 478)(78, 450)(79, 449)(80, 448)(81, 451)(82, 479)(83, 480)(84, 482)(85, 486)(86, 452)(87, 488)(88, 454)(89, 491)(90, 460)(91, 456)(92, 490)(93, 494)(94, 461)(95, 466)(96, 467)(97, 496)(98, 468)(99, 495)(100, 499)(101, 502)(102, 469)(103, 504)(104, 471)(105, 507)(106, 476)(107, 473)(108, 506)(109, 510)(110, 477)(111, 483)(112, 481)(113, 511)(114, 512)(115, 484)(116, 509)(117, 518)(118, 485)(119, 520)(120, 487)(121, 523)(122, 492)(123, 489)(124, 522)(125, 500)(126, 493)(127, 497)(128, 498)(129, 528)(130, 527)(131, 526)(132, 529)(133, 534)(134, 501)(135, 536)(136, 503)(137, 539)(138, 508)(139, 505)(140, 538)(141, 542)(142, 515)(143, 514)(144, 513)(145, 516)(146, 543)(147, 544)(148, 546)(149, 550)(150, 517)(151, 552)(152, 519)(153, 555)(154, 524)(155, 521)(156, 554)(157, 558)(158, 525)(159, 530)(160, 531)(161, 560)(162, 532)(163, 559)(164, 563)(165, 564)(166, 533)(167, 566)(168, 535)(169, 569)(170, 540)(171, 537)(172, 568)(173, 571)(174, 541)(175, 547)(176, 545)(177, 572)(178, 573)(179, 548)(180, 549)(181, 574)(182, 551)(183, 576)(184, 556)(185, 553)(186, 575)(187, 557)(188, 561)(189, 562)(190, 565)(191, 570)(192, 567)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3009
Graph:: simple bipartite
	v = 200 e = 384 f = 144
	degree seq :: [ 2^192, 48^8 ]

E21.3013 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, (Y2^4 * Y1)^2, Y2^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 48, 240)(33, 225, 55, 247)(34, 226, 45, 237)(35, 227, 53, 245)(37, 229, 58, 250)(39, 231, 49, 241)(40, 232, 56, 248)(41, 233, 47, 239)(42, 234, 54, 246)(44, 236, 51, 243)(59, 251, 73, 265)(60, 252, 69, 261)(61, 253, 74, 266)(62, 254, 75, 267)(63, 255, 77, 269)(64, 256, 68, 260)(65, 257, 70, 262)(66, 258, 71, 263)(67, 259, 81, 273)(72, 264, 85, 277)(76, 268, 89, 281)(78, 270, 91, 283)(79, 271, 90, 282)(80, 272, 94, 286)(82, 274, 87, 279)(83, 275, 86, 278)(84, 276, 98, 290)(88, 280, 102, 294)(92, 284, 106, 298)(93, 285, 107, 299)(95, 287, 105, 297)(96, 288, 111, 303)(97, 289, 103, 295)(99, 291, 101, 293)(100, 292, 115, 307)(104, 296, 119, 311)(108, 300, 123, 315)(109, 301, 122, 314)(110, 302, 121, 313)(112, 304, 124, 316)(113, 305, 118, 310)(114, 306, 117, 309)(116, 308, 120, 312)(125, 317, 137, 329)(126, 318, 138, 330)(127, 319, 139, 331)(128, 320, 141, 333)(129, 321, 133, 325)(130, 322, 134, 326)(131, 323, 135, 327)(132, 324, 145, 337)(136, 328, 149, 341)(140, 332, 153, 345)(142, 334, 155, 347)(143, 335, 154, 346)(144, 336, 158, 350)(146, 338, 151, 343)(147, 339, 150, 342)(148, 340, 162, 354)(152, 344, 166, 358)(156, 348, 170, 362)(157, 349, 171, 363)(159, 351, 169, 361)(160, 352, 175, 367)(161, 353, 167, 359)(163, 355, 165, 357)(164, 356, 179, 371)(168, 360, 182, 374)(172, 364, 186, 378)(173, 365, 185, 377)(174, 366, 184, 376)(176, 368, 183, 375)(177, 369, 181, 373)(178, 370, 180, 372)(187, 379, 192, 384)(188, 380, 191, 383)(189, 381, 190, 382)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 447, 639, 464, 656, 480, 672, 496, 688, 512, 704, 528, 720, 544, 736, 560, 752, 548, 740, 532, 724, 516, 708, 500, 692, 484, 676, 468, 660, 451, 643, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 456, 648, 472, 664, 488, 680, 504, 696, 520, 712, 536, 728, 552, 744, 567, 759, 556, 748, 540, 732, 524, 716, 508, 700, 492, 684, 476, 668, 460, 652, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 430, 622, 427, 619, 450, 642, 467, 659, 483, 675, 499, 691, 515, 707, 531, 723, 547, 739, 563, 755, 571, 763, 557, 749, 541, 733, 525, 717, 509, 701, 493, 685, 477, 669, 461, 653, 443, 635, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 448, 640, 465, 657, 481, 673, 497, 689, 513, 705, 529, 721, 545, 737, 561, 753, 573, 765, 559, 751, 543, 735, 527, 719, 511, 703, 495, 687, 479, 671, 463, 655, 446, 638, 420, 612, 436, 628, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 416, 608, 441, 633, 459, 651, 475, 667, 491, 683, 507, 699, 523, 715, 539, 731, 555, 747, 570, 762, 574, 766, 564, 756, 549, 741, 533, 725, 517, 709, 501, 693, 485, 677, 469, 661, 452, 644, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 457, 649, 473, 665, 489, 681, 505, 697, 521, 713, 537, 729, 553, 745, 568, 760, 576, 768, 566, 758, 551, 743, 535, 727, 519, 711, 503, 695, 487, 679, 471, 663, 455, 647, 434, 626, 422, 614, 438, 630, 412, 604)(401, 593, 418, 610, 444, 636, 426, 618, 405, 597, 425, 617, 449, 641, 466, 658, 482, 674, 498, 690, 514, 706, 530, 722, 546, 738, 562, 754, 572, 764, 558, 750, 542, 734, 526, 718, 510, 702, 494, 686, 478, 670, 462, 654, 445, 637, 419, 611)(409, 601, 432, 624, 453, 645, 440, 632, 413, 605, 439, 631, 458, 650, 474, 666, 490, 682, 506, 698, 522, 714, 538, 730, 554, 746, 569, 761, 575, 767, 565, 757, 550, 742, 534, 726, 518, 710, 502, 694, 486, 678, 470, 662, 454, 646, 433, 625)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 432)(32, 400)(33, 439)(34, 429)(35, 437)(36, 402)(37, 442)(38, 403)(39, 433)(40, 440)(41, 431)(42, 438)(43, 406)(44, 435)(45, 418)(46, 408)(47, 425)(48, 415)(49, 423)(50, 410)(51, 428)(52, 411)(53, 419)(54, 426)(55, 417)(56, 424)(57, 414)(58, 421)(59, 457)(60, 453)(61, 458)(62, 459)(63, 461)(64, 452)(65, 454)(66, 455)(67, 465)(68, 448)(69, 444)(70, 449)(71, 450)(72, 469)(73, 443)(74, 445)(75, 446)(76, 473)(77, 447)(78, 475)(79, 474)(80, 478)(81, 451)(82, 471)(83, 470)(84, 482)(85, 456)(86, 467)(87, 466)(88, 486)(89, 460)(90, 463)(91, 462)(92, 490)(93, 491)(94, 464)(95, 489)(96, 495)(97, 487)(98, 468)(99, 485)(100, 499)(101, 483)(102, 472)(103, 481)(104, 503)(105, 479)(106, 476)(107, 477)(108, 507)(109, 506)(110, 505)(111, 480)(112, 508)(113, 502)(114, 501)(115, 484)(116, 504)(117, 498)(118, 497)(119, 488)(120, 500)(121, 494)(122, 493)(123, 492)(124, 496)(125, 521)(126, 522)(127, 523)(128, 525)(129, 517)(130, 518)(131, 519)(132, 529)(133, 513)(134, 514)(135, 515)(136, 533)(137, 509)(138, 510)(139, 511)(140, 537)(141, 512)(142, 539)(143, 538)(144, 542)(145, 516)(146, 535)(147, 534)(148, 546)(149, 520)(150, 531)(151, 530)(152, 550)(153, 524)(154, 527)(155, 526)(156, 554)(157, 555)(158, 528)(159, 553)(160, 559)(161, 551)(162, 532)(163, 549)(164, 563)(165, 547)(166, 536)(167, 545)(168, 566)(169, 543)(170, 540)(171, 541)(172, 570)(173, 569)(174, 568)(175, 544)(176, 567)(177, 565)(178, 564)(179, 548)(180, 562)(181, 561)(182, 552)(183, 560)(184, 558)(185, 557)(186, 556)(187, 576)(188, 575)(189, 574)(190, 573)(191, 572)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3014
Graph:: bipartite
	v = 104 e = 384 f = 240
	degree seq :: [ 4^96, 48^8 ]

E21.3014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C3 x ((C8 x C2) : C2)) : C2 (small group id <192, 29>)
Aut   = $<384, 682>$ (small group id <384, 682>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3)^4, Y3^-2 * Y1^-2 * Y3^2 * Y1^-2, (Y3^3 * Y1^-1)^2, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 33, 225, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 36, 228, 29, 221)(17, 209, 37, 229, 27, 219, 39, 231)(20, 212, 43, 235, 22, 214, 41, 233)(24, 216, 47, 239, 59, 251, 44, 236)(26, 218, 40, 232, 30, 222, 42, 234)(32, 224, 49, 241, 55, 247, 51, 243)(38, 230, 56, 248, 50, 242, 54, 246)(45, 237, 53, 245, 46, 238, 58, 250)(48, 240, 60, 252, 69, 261, 61, 253)(52, 244, 57, 249, 70, 262, 65, 257)(62, 254, 75, 267, 63, 255, 74, 266)(64, 256, 77, 269, 91, 283, 78, 270)(66, 258, 72, 264, 67, 259, 71, 263)(68, 260, 82, 274, 87, 279, 73, 265)(76, 268, 90, 282, 79, 271, 85, 277)(80, 272, 94, 286, 101, 293, 95, 287)(81, 273, 86, 278, 83, 275, 88, 280)(84, 276, 99, 291, 102, 294, 98, 290)(89, 281, 103, 295, 97, 289, 104, 296)(92, 284, 107, 299, 93, 285, 106, 298)(96, 288, 111, 303, 123, 315, 108, 300)(100, 292, 113, 305, 119, 311, 115, 307)(105, 297, 120, 312, 114, 306, 118, 310)(109, 301, 117, 309, 110, 302, 122, 314)(112, 304, 124, 316, 133, 325, 125, 317)(116, 308, 121, 313, 134, 326, 129, 321)(126, 318, 139, 331, 127, 319, 138, 330)(128, 320, 141, 333, 155, 347, 142, 334)(130, 322, 136, 328, 131, 323, 135, 327)(132, 324, 146, 338, 151, 343, 137, 329)(140, 332, 154, 346, 143, 335, 149, 341)(144, 336, 158, 350, 165, 357, 159, 351)(145, 337, 150, 342, 147, 339, 152, 344)(148, 340, 163, 355, 166, 358, 162, 354)(153, 345, 167, 359, 161, 353, 168, 360)(156, 348, 171, 363, 157, 349, 170, 362)(160, 352, 175, 367, 186, 378, 172, 364)(164, 356, 177, 369, 182, 374, 179, 371)(169, 361, 183, 375, 178, 370, 181, 373)(173, 365, 180, 372, 174, 366, 185, 377)(176, 368, 184, 376, 190, 382, 187, 379)(188, 380, 191, 383, 189, 381, 192, 384)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 427)(22, 393)(23, 395)(24, 432)(25, 418)(26, 419)(27, 433)(28, 426)(29, 434)(30, 397)(31, 435)(32, 398)(33, 437)(34, 414)(35, 415)(36, 400)(37, 402)(38, 441)(39, 412)(40, 405)(41, 442)(42, 403)(43, 443)(44, 404)(45, 406)(46, 407)(47, 409)(48, 448)(49, 449)(50, 450)(51, 451)(52, 416)(53, 453)(54, 420)(55, 421)(56, 423)(57, 457)(58, 458)(59, 459)(60, 428)(61, 429)(62, 430)(63, 431)(64, 464)(65, 465)(66, 466)(67, 467)(68, 436)(69, 469)(70, 438)(71, 439)(72, 440)(73, 473)(74, 474)(75, 475)(76, 444)(77, 445)(78, 446)(79, 447)(80, 480)(81, 481)(82, 482)(83, 483)(84, 452)(85, 485)(86, 454)(87, 455)(88, 456)(89, 489)(90, 490)(91, 491)(92, 460)(93, 461)(94, 462)(95, 463)(96, 496)(97, 497)(98, 498)(99, 499)(100, 468)(101, 501)(102, 470)(103, 471)(104, 472)(105, 505)(106, 506)(107, 507)(108, 476)(109, 477)(110, 478)(111, 479)(112, 512)(113, 513)(114, 514)(115, 515)(116, 484)(117, 517)(118, 486)(119, 487)(120, 488)(121, 521)(122, 522)(123, 523)(124, 492)(125, 493)(126, 494)(127, 495)(128, 528)(129, 529)(130, 530)(131, 531)(132, 500)(133, 533)(134, 502)(135, 503)(136, 504)(137, 537)(138, 538)(139, 539)(140, 508)(141, 509)(142, 510)(143, 511)(144, 544)(145, 545)(146, 546)(147, 547)(148, 516)(149, 549)(150, 518)(151, 519)(152, 520)(153, 553)(154, 554)(155, 555)(156, 524)(157, 525)(158, 526)(159, 527)(160, 560)(161, 561)(162, 562)(163, 563)(164, 532)(165, 564)(166, 534)(167, 535)(168, 536)(169, 568)(170, 569)(171, 570)(172, 540)(173, 541)(174, 542)(175, 543)(176, 548)(177, 571)(178, 573)(179, 572)(180, 574)(181, 550)(182, 551)(183, 552)(184, 556)(185, 576)(186, 575)(187, 557)(188, 558)(189, 559)(190, 565)(191, 566)(192, 567)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3013
Graph:: simple bipartite
	v = 240 e = 384 f = 104
	degree seq :: [ 2^192, 8^48 ]

E21.3015 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-1 * T2 * T1^-3 * T2 * T1 * T2 * T1^3 * T2, (T1^-1 * T2 * T1 * T2)^3, T1^-3 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2, T1 * T2 * T1^-6 * T2 * T1^5, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 85, 142, 125, 70, 109, 163, 186, 174, 113, 60, 100, 155, 141, 84, 44, 22, 10, 4)(3, 7, 15, 31, 59, 111, 143, 138, 82, 43, 81, 137, 153, 92, 48, 24, 47, 89, 149, 126, 71, 37, 18, 8)(6, 13, 27, 53, 99, 165, 136, 80, 42, 21, 41, 78, 132, 148, 88, 46, 87, 146, 140, 172, 110, 58, 30, 14)(9, 19, 38, 72, 127, 145, 86, 144, 118, 83, 139, 164, 98, 52, 26, 12, 25, 49, 93, 154, 123, 77, 40, 20)(16, 33, 63, 90, 51, 96, 159, 124, 69, 36, 68, 122, 152, 185, 173, 112, 73, 128, 157, 94, 156, 119, 65, 34)(17, 35, 66, 91, 151, 135, 171, 108, 57, 107, 170, 183, 177, 116, 62, 32, 61, 114, 150, 134, 79, 104, 55, 28)(29, 56, 105, 147, 131, 76, 130, 162, 97, 161, 189, 182, 133, 168, 102, 54, 101, 166, 129, 75, 39, 74, 95, 50)(64, 106, 169, 190, 167, 103, 160, 188, 176, 187, 158, 184, 181, 191, 179, 117, 178, 192, 180, 121, 67, 120, 175, 115)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 90)(48, 91)(49, 94)(52, 97)(53, 100)(55, 103)(56, 106)(58, 109)(59, 112)(61, 115)(62, 99)(63, 117)(65, 118)(66, 87)(68, 123)(69, 120)(71, 107)(72, 113)(75, 121)(77, 125)(78, 133)(80, 135)(81, 119)(82, 104)(84, 140)(85, 143)(88, 147)(89, 150)(92, 152)(93, 155)(95, 158)(96, 160)(98, 163)(101, 167)(102, 154)(105, 144)(108, 169)(110, 161)(111, 171)(114, 172)(116, 176)(122, 181)(124, 145)(126, 157)(127, 182)(128, 180)(129, 146)(130, 165)(131, 178)(132, 174)(134, 179)(136, 142)(137, 177)(138, 159)(139, 166)(141, 149)(148, 183)(151, 184)(153, 186)(156, 187)(162, 188)(164, 185)(168, 191)(170, 192)(173, 190)(175, 189)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3016
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.3016 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^3, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1, T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 81, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 87, 70)(43, 63, 100, 71)(45, 73, 113, 74)(46, 75, 91, 76)(47, 77, 117, 78)(52, 84, 121, 85)(60, 96, 80, 97)(61, 90, 127, 98)(64, 101, 83, 102)(66, 95, 131, 104)(67, 105, 142, 106)(68, 107, 144, 108)(72, 94, 130, 112)(82, 120, 125, 88)(93, 124, 161, 129)(99, 123, 160, 135)(103, 139, 177, 140)(109, 146, 114, 147)(110, 143, 164, 148)(111, 149, 116, 150)(115, 153, 162, 141)(118, 155, 163, 126)(119, 156, 159, 122)(128, 165, 186, 166)(132, 170, 136, 171)(133, 168, 157, 172)(134, 173, 138, 174)(137, 176, 152, 167)(145, 169, 184, 179)(151, 175, 185, 178)(154, 181, 188, 180)(158, 182, 189, 183)(187, 190, 192, 191)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 72)(48, 80)(49, 74)(50, 82)(51, 83)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(69, 109)(70, 110)(71, 111)(73, 114)(75, 115)(76, 116)(77, 108)(78, 118)(79, 119)(81, 106)(84, 122)(85, 123)(86, 124)(89, 126)(92, 128)(96, 132)(97, 133)(98, 134)(100, 136)(101, 137)(102, 138)(104, 141)(105, 143)(107, 145)(112, 151)(113, 152)(117, 154)(120, 157)(121, 158)(125, 162)(127, 164)(129, 167)(130, 168)(131, 169)(135, 175)(139, 176)(140, 171)(142, 178)(144, 173)(146, 160)(147, 180)(148, 166)(149, 159)(150, 165)(153, 181)(155, 170)(156, 179)(161, 184)(163, 185)(172, 183)(174, 182)(177, 187)(186, 190)(188, 191)(189, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3015
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.3017 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * 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:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 82, 51)(31, 52, 85, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 101, 64)(41, 68, 108, 69)(44, 72, 112, 73)(46, 75, 116, 76)(49, 79, 118, 80)(54, 87, 126, 88)(57, 91, 130, 92)(59, 94, 134, 95)(62, 98, 136, 99)(65, 103, 77, 104)(67, 105, 141, 106)(71, 110, 83, 111)(74, 114, 152, 115)(81, 120, 150, 113)(84, 121, 96, 122)(86, 123, 160, 124)(90, 128, 102, 129)(93, 132, 171, 133)(100, 138, 169, 131)(107, 143, 179, 144)(109, 146, 158, 147)(117, 154, 167, 151)(119, 156, 181, 153)(125, 162, 184, 163)(127, 165, 139, 166)(135, 173, 148, 170)(137, 175, 186, 172)(140, 174, 157, 177)(142, 164, 149, 178)(145, 168, 183, 161)(155, 176, 182, 159)(180, 188, 191, 187)(185, 190, 192, 189)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 257)(232, 259)(234, 247)(235, 263)(237, 266)(239, 269)(240, 253)(242, 273)(243, 275)(244, 276)(245, 278)(248, 282)(250, 285)(252, 288)(255, 292)(256, 294)(258, 283)(260, 299)(261, 290)(262, 301)(264, 277)(265, 305)(267, 297)(268, 293)(270, 309)(271, 280)(272, 311)(274, 287)(279, 317)(281, 319)(284, 323)(286, 315)(289, 327)(291, 329)(295, 331)(296, 332)(298, 334)(300, 337)(302, 340)(303, 341)(304, 335)(306, 343)(307, 338)(308, 345)(310, 347)(312, 349)(313, 350)(314, 351)(316, 353)(318, 356)(320, 359)(321, 360)(322, 354)(324, 362)(325, 357)(326, 364)(328, 366)(330, 368)(333, 352)(336, 365)(339, 367)(342, 361)(344, 372)(346, 355)(348, 358)(363, 377)(369, 379)(370, 380)(371, 376)(373, 378)(374, 381)(375, 382)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3021
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.3018 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-2 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1^-1 * T2^2 * T1^-2 * T2^5 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 104, 157, 90, 43, 89, 155, 188, 192, 186, 143, 81, 59, 110, 170, 126, 68, 32, 14, 5)(2, 7, 17, 38, 80, 144, 183, 137, 75, 67, 124, 171, 189, 168, 102, 51, 25, 54, 106, 160, 92, 44, 20, 8)(4, 12, 27, 58, 113, 156, 123, 66, 31, 65, 121, 174, 190, 169, 103, 53, 71, 130, 177, 147, 98, 48, 22, 9)(6, 15, 33, 70, 129, 122, 164, 97, 47, 91, 158, 187, 191, 185, 142, 79, 39, 82, 146, 107, 138, 76, 36, 16)(11, 26, 55, 109, 150, 86, 64, 30, 13, 29, 61, 117, 154, 87, 153, 105, 140, 125, 173, 115, 167, 101, 50, 23)(18, 40, 83, 49, 99, 134, 88, 42, 19, 41, 85, 151, 182, 135, 181, 145, 118, 159, 108, 56, 111, 141, 78, 37)(21, 45, 93, 161, 120, 63, 119, 166, 100, 165, 178, 132, 179, 172, 112, 57, 28, 60, 114, 127, 116, 62, 96, 46)(34, 72, 131, 77, 139, 94, 136, 74, 35, 73, 133, 180, 163, 95, 162, 176, 152, 184, 148, 84, 149, 175, 128, 69)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 254, 221)(209, 229, 269, 231)(212, 235, 278, 233)(214, 239, 286, 237)(216, 243, 262, 245)(218, 238, 287, 248)(219, 249, 301, 251)(222, 255, 276, 232)(224, 259, 268, 257)(225, 261, 319, 263)(228, 267, 326, 265)(230, 271, 250, 273)(234, 279, 324, 264)(236, 283, 240, 281)(242, 292, 325, 291)(244, 295, 353, 297)(246, 275, 340, 299)(247, 300, 352, 302)(252, 266, 327, 307)(253, 308, 320, 310)(256, 282, 348, 311)(258, 314, 354, 288)(260, 317, 333, 316)(270, 332, 285, 331)(272, 335, 309, 337)(274, 323, 370, 339)(277, 342, 304, 344)(280, 329, 296, 345)(284, 351, 367, 350)(289, 336, 373, 328)(290, 357, 293, 347)(294, 343, 368, 321)(298, 338, 369, 362)(303, 355, 377, 363)(305, 334, 372, 358)(306, 365, 318, 322)(312, 361, 379, 341)(313, 330, 376, 364)(315, 349, 375, 356)(346, 378, 366, 371)(359, 374, 360, 380)(381, 383, 382, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3022
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.3019 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T2 * T1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^-3, (T1^-1 * T2 * T1 * T2)^3, T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^4, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 90)(48, 91)(49, 94)(52, 97)(53, 100)(55, 103)(56, 106)(58, 109)(59, 112)(61, 115)(62, 99)(63, 117)(65, 118)(66, 87)(68, 123)(69, 120)(71, 107)(72, 113)(75, 121)(77, 125)(78, 133)(80, 135)(81, 119)(82, 104)(84, 140)(85, 143)(88, 147)(89, 150)(92, 152)(93, 155)(95, 158)(96, 160)(98, 163)(101, 167)(102, 154)(105, 144)(108, 169)(110, 161)(111, 171)(114, 172)(116, 176)(122, 181)(124, 145)(126, 157)(127, 182)(128, 180)(129, 146)(130, 165)(131, 178)(132, 174)(134, 179)(136, 142)(137, 177)(138, 159)(139, 166)(141, 149)(148, 183)(151, 184)(153, 186)(156, 187)(162, 188)(164, 185)(168, 191)(170, 192)(173, 190)(175, 189)(193, 194, 197, 203, 215, 237, 277, 334, 317, 262, 301, 355, 378, 366, 305, 252, 292, 347, 333, 276, 236, 214, 202, 196)(195, 199, 207, 223, 251, 303, 335, 330, 274, 235, 273, 329, 345, 284, 240, 216, 239, 281, 341, 318, 263, 229, 210, 200)(198, 205, 219, 245, 291, 357, 328, 272, 234, 213, 233, 270, 324, 340, 280, 238, 279, 338, 332, 364, 302, 250, 222, 206)(201, 211, 230, 264, 319, 337, 278, 336, 310, 275, 331, 356, 290, 244, 218, 204, 217, 241, 285, 346, 315, 269, 232, 212)(208, 225, 255, 282, 243, 288, 351, 316, 261, 228, 260, 314, 344, 377, 365, 304, 265, 320, 349, 286, 348, 311, 257, 226)(209, 227, 258, 283, 343, 327, 363, 300, 249, 299, 362, 375, 369, 308, 254, 224, 253, 306, 342, 326, 271, 296, 247, 220)(221, 248, 297, 339, 323, 268, 322, 354, 289, 353, 381, 374, 325, 360, 294, 246, 293, 358, 321, 267, 231, 266, 287, 242)(256, 298, 361, 382, 359, 295, 352, 380, 368, 379, 350, 376, 373, 383, 371, 309, 370, 384, 372, 313, 259, 312, 367, 307)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3020
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.3020 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, T2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * 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, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 66, 258, 40, 232)(25, 217, 42, 234, 70, 262, 43, 235)(28, 220, 47, 239, 78, 270, 48, 240)(30, 222, 50, 242, 82, 274, 51, 243)(31, 223, 52, 244, 85, 277, 53, 245)(33, 225, 55, 247, 89, 281, 56, 248)(36, 228, 60, 252, 97, 289, 61, 253)(38, 230, 63, 255, 101, 293, 64, 256)(41, 233, 68, 260, 108, 300, 69, 261)(44, 236, 72, 264, 112, 304, 73, 265)(46, 238, 75, 267, 116, 308, 76, 268)(49, 241, 79, 271, 118, 310, 80, 272)(54, 246, 87, 279, 126, 318, 88, 280)(57, 249, 91, 283, 130, 322, 92, 284)(59, 251, 94, 286, 134, 326, 95, 287)(62, 254, 98, 290, 136, 328, 99, 291)(65, 257, 103, 295, 77, 269, 104, 296)(67, 259, 105, 297, 141, 333, 106, 298)(71, 263, 110, 302, 83, 275, 111, 303)(74, 266, 114, 306, 152, 344, 115, 307)(81, 273, 120, 312, 150, 342, 113, 305)(84, 276, 121, 313, 96, 288, 122, 314)(86, 278, 123, 315, 160, 352, 124, 316)(90, 282, 128, 320, 102, 294, 129, 321)(93, 285, 132, 324, 171, 363, 133, 325)(100, 292, 138, 330, 169, 361, 131, 323)(107, 299, 143, 335, 179, 371, 144, 336)(109, 301, 146, 338, 158, 350, 147, 339)(117, 309, 154, 346, 167, 359, 151, 343)(119, 311, 156, 348, 181, 373, 153, 345)(125, 317, 162, 354, 184, 376, 163, 355)(127, 319, 165, 357, 139, 331, 166, 358)(135, 327, 173, 365, 148, 340, 170, 362)(137, 329, 175, 367, 186, 378, 172, 364)(140, 332, 174, 366, 157, 349, 177, 369)(142, 334, 164, 356, 149, 341, 178, 370)(145, 337, 168, 360, 183, 375, 161, 353)(155, 347, 176, 368, 182, 374, 159, 351)(180, 372, 188, 380, 191, 383, 187, 379)(185, 377, 190, 382, 192, 384, 189, 381)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 257)(40, 259)(41, 216)(42, 247)(43, 263)(44, 218)(45, 266)(46, 219)(47, 269)(48, 253)(49, 221)(50, 273)(51, 275)(52, 276)(53, 278)(54, 224)(55, 234)(56, 282)(57, 226)(58, 285)(59, 227)(60, 288)(61, 240)(62, 229)(63, 292)(64, 294)(65, 231)(66, 283)(67, 232)(68, 299)(69, 290)(70, 301)(71, 235)(72, 277)(73, 305)(74, 237)(75, 297)(76, 293)(77, 239)(78, 309)(79, 280)(80, 311)(81, 242)(82, 287)(83, 243)(84, 244)(85, 264)(86, 245)(87, 317)(88, 271)(89, 319)(90, 248)(91, 258)(92, 323)(93, 250)(94, 315)(95, 274)(96, 252)(97, 327)(98, 261)(99, 329)(100, 255)(101, 268)(102, 256)(103, 331)(104, 332)(105, 267)(106, 334)(107, 260)(108, 337)(109, 262)(110, 340)(111, 341)(112, 335)(113, 265)(114, 343)(115, 338)(116, 345)(117, 270)(118, 347)(119, 272)(120, 349)(121, 350)(122, 351)(123, 286)(124, 353)(125, 279)(126, 356)(127, 281)(128, 359)(129, 360)(130, 354)(131, 284)(132, 362)(133, 357)(134, 364)(135, 289)(136, 366)(137, 291)(138, 368)(139, 295)(140, 296)(141, 352)(142, 298)(143, 304)(144, 365)(145, 300)(146, 307)(147, 367)(148, 302)(149, 303)(150, 361)(151, 306)(152, 372)(153, 308)(154, 355)(155, 310)(156, 358)(157, 312)(158, 313)(159, 314)(160, 333)(161, 316)(162, 322)(163, 346)(164, 318)(165, 325)(166, 348)(167, 320)(168, 321)(169, 342)(170, 324)(171, 377)(172, 326)(173, 336)(174, 328)(175, 339)(176, 330)(177, 379)(178, 380)(179, 376)(180, 344)(181, 378)(182, 381)(183, 382)(184, 371)(185, 363)(186, 373)(187, 369)(188, 370)(189, 374)(190, 375)(191, 384)(192, 383)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3019
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.3021 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-2 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^-1, T2 * T1^-1 * T2^2 * T1^-2 * T2^5 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 52, 244, 104, 296, 157, 349, 90, 282, 43, 235, 89, 281, 155, 347, 188, 380, 192, 384, 186, 378, 143, 335, 81, 273, 59, 251, 110, 302, 170, 362, 126, 318, 68, 260, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 80, 272, 144, 336, 183, 375, 137, 329, 75, 267, 67, 259, 124, 316, 171, 363, 189, 381, 168, 360, 102, 294, 51, 243, 25, 217, 54, 246, 106, 298, 160, 352, 92, 284, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 58, 250, 113, 305, 156, 348, 123, 315, 66, 258, 31, 223, 65, 257, 121, 313, 174, 366, 190, 382, 169, 361, 103, 295, 53, 245, 71, 263, 130, 322, 177, 369, 147, 339, 98, 290, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 70, 262, 129, 321, 122, 314, 164, 356, 97, 289, 47, 239, 91, 283, 158, 350, 187, 379, 191, 383, 185, 377, 142, 334, 79, 271, 39, 231, 82, 274, 146, 338, 107, 299, 138, 330, 76, 268, 36, 228, 16, 208)(11, 203, 26, 218, 55, 247, 109, 301, 150, 342, 86, 278, 64, 256, 30, 222, 13, 205, 29, 221, 61, 253, 117, 309, 154, 346, 87, 279, 153, 345, 105, 297, 140, 332, 125, 317, 173, 365, 115, 307, 167, 359, 101, 293, 50, 242, 23, 215)(18, 210, 40, 232, 83, 275, 49, 241, 99, 291, 134, 326, 88, 280, 42, 234, 19, 211, 41, 233, 85, 277, 151, 343, 182, 374, 135, 327, 181, 373, 145, 337, 118, 310, 159, 351, 108, 300, 56, 248, 111, 303, 141, 333, 78, 270, 37, 229)(21, 213, 45, 237, 93, 285, 161, 353, 120, 312, 63, 255, 119, 311, 166, 358, 100, 292, 165, 357, 178, 370, 132, 324, 179, 371, 172, 364, 112, 304, 57, 249, 28, 220, 60, 252, 114, 306, 127, 319, 116, 308, 62, 254, 96, 288, 46, 238)(34, 226, 72, 264, 131, 323, 77, 269, 139, 331, 94, 286, 136, 328, 74, 266, 35, 227, 73, 265, 133, 325, 180, 372, 163, 355, 95, 287, 162, 354, 176, 368, 152, 344, 184, 376, 148, 340, 84, 276, 149, 341, 175, 367, 128, 320, 69, 261)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 243)(25, 202)(26, 238)(27, 249)(28, 204)(29, 206)(30, 255)(31, 254)(32, 259)(33, 261)(34, 207)(35, 220)(36, 267)(37, 269)(38, 271)(39, 209)(40, 222)(41, 212)(42, 279)(43, 278)(44, 283)(45, 214)(46, 287)(47, 286)(48, 281)(49, 217)(50, 292)(51, 262)(52, 295)(53, 216)(54, 275)(55, 300)(56, 218)(57, 301)(58, 273)(59, 219)(60, 266)(61, 308)(62, 221)(63, 276)(64, 282)(65, 224)(66, 314)(67, 268)(68, 317)(69, 319)(70, 245)(71, 225)(72, 234)(73, 228)(74, 327)(75, 326)(76, 257)(77, 231)(78, 332)(79, 250)(80, 335)(81, 230)(82, 323)(83, 340)(84, 232)(85, 342)(86, 233)(87, 324)(88, 329)(89, 236)(90, 348)(91, 240)(92, 351)(93, 331)(94, 237)(95, 248)(96, 258)(97, 336)(98, 357)(99, 242)(100, 325)(101, 347)(102, 343)(103, 353)(104, 345)(105, 244)(106, 338)(107, 246)(108, 352)(109, 251)(110, 247)(111, 355)(112, 344)(113, 334)(114, 365)(115, 252)(116, 320)(117, 337)(118, 253)(119, 256)(120, 361)(121, 330)(122, 354)(123, 349)(124, 260)(125, 333)(126, 322)(127, 263)(128, 310)(129, 294)(130, 306)(131, 370)(132, 264)(133, 291)(134, 265)(135, 307)(136, 289)(137, 296)(138, 376)(139, 270)(140, 285)(141, 316)(142, 372)(143, 309)(144, 373)(145, 272)(146, 369)(147, 274)(148, 299)(149, 312)(150, 304)(151, 368)(152, 277)(153, 280)(154, 378)(155, 290)(156, 311)(157, 375)(158, 284)(159, 367)(160, 302)(161, 297)(162, 288)(163, 377)(164, 315)(165, 293)(166, 305)(167, 374)(168, 380)(169, 379)(170, 298)(171, 303)(172, 313)(173, 318)(174, 371)(175, 350)(176, 321)(177, 362)(178, 339)(179, 346)(180, 358)(181, 328)(182, 360)(183, 356)(184, 364)(185, 363)(186, 366)(187, 341)(188, 359)(189, 383)(190, 384)(191, 382)(192, 381)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3017
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.3022 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T2 * T1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^-3, (T1^-1 * T2 * T1 * T2)^3, T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^4, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 64, 256)(35, 227, 67, 259)(37, 229, 70, 262)(38, 230, 73, 265)(40, 232, 76, 268)(41, 233, 79, 271)(42, 234, 74, 266)(44, 236, 83, 275)(45, 237, 86, 278)(47, 239, 90, 282)(48, 240, 91, 283)(49, 241, 94, 286)(52, 244, 97, 289)(53, 245, 100, 292)(55, 247, 103, 295)(56, 248, 106, 298)(58, 250, 109, 301)(59, 251, 112, 304)(61, 253, 115, 307)(62, 254, 99, 291)(63, 255, 117, 309)(65, 257, 118, 310)(66, 258, 87, 279)(68, 260, 123, 315)(69, 261, 120, 312)(71, 263, 107, 299)(72, 264, 113, 305)(75, 267, 121, 313)(77, 269, 125, 317)(78, 270, 133, 325)(80, 272, 135, 327)(81, 273, 119, 311)(82, 274, 104, 296)(84, 276, 140, 332)(85, 277, 143, 335)(88, 280, 147, 339)(89, 281, 150, 342)(92, 284, 152, 344)(93, 285, 155, 347)(95, 287, 158, 350)(96, 288, 160, 352)(98, 290, 163, 355)(101, 293, 167, 359)(102, 294, 154, 346)(105, 297, 144, 336)(108, 300, 169, 361)(110, 302, 161, 353)(111, 303, 171, 363)(114, 306, 172, 364)(116, 308, 176, 368)(122, 314, 181, 373)(124, 316, 145, 337)(126, 318, 157, 349)(127, 319, 182, 374)(128, 320, 180, 372)(129, 321, 146, 338)(130, 322, 165, 357)(131, 323, 178, 370)(132, 324, 174, 366)(134, 326, 179, 371)(136, 328, 142, 334)(137, 329, 177, 369)(138, 330, 159, 351)(139, 331, 166, 358)(141, 333, 149, 341)(148, 340, 183, 375)(151, 343, 184, 376)(153, 345, 186, 378)(156, 348, 187, 379)(162, 354, 188, 380)(164, 356, 185, 377)(168, 360, 191, 383)(170, 362, 192, 384)(173, 365, 190, 382)(175, 367, 189, 381)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 253)(33, 255)(34, 208)(35, 258)(36, 260)(37, 210)(38, 264)(39, 266)(40, 212)(41, 270)(42, 213)(43, 273)(44, 214)(45, 277)(46, 279)(47, 281)(48, 216)(49, 285)(50, 221)(51, 288)(52, 218)(53, 291)(54, 293)(55, 220)(56, 297)(57, 299)(58, 222)(59, 303)(60, 292)(61, 306)(62, 224)(63, 282)(64, 298)(65, 226)(66, 283)(67, 312)(68, 314)(69, 228)(70, 301)(71, 229)(72, 319)(73, 320)(74, 287)(75, 231)(76, 322)(77, 232)(78, 324)(79, 296)(80, 234)(81, 329)(82, 235)(83, 331)(84, 236)(85, 334)(86, 336)(87, 338)(88, 238)(89, 341)(90, 243)(91, 343)(92, 240)(93, 346)(94, 348)(95, 242)(96, 351)(97, 353)(98, 244)(99, 357)(100, 347)(101, 358)(102, 246)(103, 352)(104, 247)(105, 339)(106, 361)(107, 362)(108, 249)(109, 355)(110, 250)(111, 335)(112, 265)(113, 252)(114, 342)(115, 256)(116, 254)(117, 370)(118, 275)(119, 257)(120, 367)(121, 259)(122, 344)(123, 269)(124, 261)(125, 262)(126, 263)(127, 337)(128, 349)(129, 267)(130, 354)(131, 268)(132, 340)(133, 360)(134, 271)(135, 363)(136, 272)(137, 345)(138, 274)(139, 356)(140, 364)(141, 276)(142, 317)(143, 330)(144, 310)(145, 278)(146, 332)(147, 323)(148, 280)(149, 318)(150, 326)(151, 327)(152, 377)(153, 284)(154, 315)(155, 333)(156, 311)(157, 286)(158, 376)(159, 316)(160, 380)(161, 381)(162, 289)(163, 378)(164, 290)(165, 328)(166, 321)(167, 295)(168, 294)(169, 382)(170, 375)(171, 300)(172, 302)(173, 304)(174, 305)(175, 307)(176, 379)(177, 308)(178, 384)(179, 309)(180, 313)(181, 383)(182, 325)(183, 369)(184, 373)(185, 365)(186, 366)(187, 350)(188, 368)(189, 374)(190, 359)(191, 371)(192, 372)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3018
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.3023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^3, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 65, 257)(40, 232, 67, 259)(42, 234, 55, 247)(43, 235, 71, 263)(45, 237, 74, 266)(47, 239, 77, 269)(48, 240, 61, 253)(50, 242, 81, 273)(51, 243, 83, 275)(52, 244, 84, 276)(53, 245, 86, 278)(56, 248, 90, 282)(58, 250, 93, 285)(60, 252, 96, 288)(63, 255, 100, 292)(64, 256, 102, 294)(66, 258, 91, 283)(68, 260, 107, 299)(69, 261, 98, 290)(70, 262, 109, 301)(72, 264, 85, 277)(73, 265, 113, 305)(75, 267, 105, 297)(76, 268, 101, 293)(78, 270, 117, 309)(79, 271, 88, 280)(80, 272, 119, 311)(82, 274, 95, 287)(87, 279, 125, 317)(89, 281, 127, 319)(92, 284, 131, 323)(94, 286, 123, 315)(97, 289, 135, 327)(99, 291, 137, 329)(103, 295, 139, 331)(104, 296, 140, 332)(106, 298, 142, 334)(108, 300, 145, 337)(110, 302, 148, 340)(111, 303, 149, 341)(112, 304, 143, 335)(114, 306, 151, 343)(115, 307, 146, 338)(116, 308, 153, 345)(118, 310, 155, 347)(120, 312, 157, 349)(121, 313, 158, 350)(122, 314, 159, 351)(124, 316, 161, 353)(126, 318, 164, 356)(128, 320, 167, 359)(129, 321, 168, 360)(130, 322, 162, 354)(132, 324, 170, 362)(133, 325, 165, 357)(134, 326, 172, 364)(136, 328, 174, 366)(138, 330, 176, 368)(141, 333, 160, 352)(144, 336, 173, 365)(147, 339, 175, 367)(150, 342, 169, 361)(152, 344, 180, 372)(154, 346, 163, 355)(156, 348, 166, 358)(171, 363, 185, 377)(177, 369, 187, 379)(178, 370, 188, 380)(179, 371, 184, 376)(181, 373, 186, 378)(182, 374, 189, 381)(183, 375, 190, 382)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 450, 642, 424, 616)(409, 601, 426, 618, 454, 646, 427, 619)(412, 604, 431, 623, 462, 654, 432, 624)(414, 606, 434, 626, 466, 658, 435, 627)(415, 607, 436, 628, 469, 661, 437, 629)(417, 609, 439, 631, 473, 665, 440, 632)(420, 612, 444, 636, 481, 673, 445, 637)(422, 614, 447, 639, 485, 677, 448, 640)(425, 617, 452, 644, 492, 684, 453, 645)(428, 620, 456, 648, 496, 688, 457, 649)(430, 622, 459, 651, 500, 692, 460, 652)(433, 625, 463, 655, 502, 694, 464, 656)(438, 630, 471, 663, 510, 702, 472, 664)(441, 633, 475, 667, 514, 706, 476, 668)(443, 635, 478, 670, 518, 710, 479, 671)(446, 638, 482, 674, 520, 712, 483, 675)(449, 641, 487, 679, 461, 653, 488, 680)(451, 643, 489, 681, 525, 717, 490, 682)(455, 647, 494, 686, 467, 659, 495, 687)(458, 650, 498, 690, 536, 728, 499, 691)(465, 657, 504, 696, 534, 726, 497, 689)(468, 660, 505, 697, 480, 672, 506, 698)(470, 662, 507, 699, 544, 736, 508, 700)(474, 666, 512, 704, 486, 678, 513, 705)(477, 669, 516, 708, 555, 747, 517, 709)(484, 676, 522, 714, 553, 745, 515, 707)(491, 683, 527, 719, 563, 755, 528, 720)(493, 685, 530, 722, 542, 734, 531, 723)(501, 693, 538, 730, 551, 743, 535, 727)(503, 695, 540, 732, 565, 757, 537, 729)(509, 701, 546, 738, 568, 760, 547, 739)(511, 703, 549, 741, 523, 715, 550, 742)(519, 711, 557, 749, 532, 724, 554, 746)(521, 713, 559, 751, 570, 762, 556, 748)(524, 716, 558, 750, 541, 733, 561, 753)(526, 718, 548, 740, 533, 725, 562, 754)(529, 721, 552, 744, 567, 759, 545, 737)(539, 731, 560, 752, 566, 758, 543, 735)(564, 756, 572, 764, 575, 767, 571, 763)(569, 761, 574, 766, 576, 768, 573, 765)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 449)(40, 451)(41, 408)(42, 439)(43, 455)(44, 410)(45, 458)(46, 411)(47, 461)(48, 445)(49, 413)(50, 465)(51, 467)(52, 468)(53, 470)(54, 416)(55, 426)(56, 474)(57, 418)(58, 477)(59, 419)(60, 480)(61, 432)(62, 421)(63, 484)(64, 486)(65, 423)(66, 475)(67, 424)(68, 491)(69, 482)(70, 493)(71, 427)(72, 469)(73, 497)(74, 429)(75, 489)(76, 485)(77, 431)(78, 501)(79, 472)(80, 503)(81, 434)(82, 479)(83, 435)(84, 436)(85, 456)(86, 437)(87, 509)(88, 463)(89, 511)(90, 440)(91, 450)(92, 515)(93, 442)(94, 507)(95, 466)(96, 444)(97, 519)(98, 453)(99, 521)(100, 447)(101, 460)(102, 448)(103, 523)(104, 524)(105, 459)(106, 526)(107, 452)(108, 529)(109, 454)(110, 532)(111, 533)(112, 527)(113, 457)(114, 535)(115, 530)(116, 537)(117, 462)(118, 539)(119, 464)(120, 541)(121, 542)(122, 543)(123, 478)(124, 545)(125, 471)(126, 548)(127, 473)(128, 551)(129, 552)(130, 546)(131, 476)(132, 554)(133, 549)(134, 556)(135, 481)(136, 558)(137, 483)(138, 560)(139, 487)(140, 488)(141, 544)(142, 490)(143, 496)(144, 557)(145, 492)(146, 499)(147, 559)(148, 494)(149, 495)(150, 553)(151, 498)(152, 564)(153, 500)(154, 547)(155, 502)(156, 550)(157, 504)(158, 505)(159, 506)(160, 525)(161, 508)(162, 514)(163, 538)(164, 510)(165, 517)(166, 540)(167, 512)(168, 513)(169, 534)(170, 516)(171, 569)(172, 518)(173, 528)(174, 520)(175, 531)(176, 522)(177, 571)(178, 572)(179, 568)(180, 536)(181, 570)(182, 573)(183, 574)(184, 563)(185, 555)(186, 565)(187, 561)(188, 562)(189, 566)(190, 567)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3026
Graph:: bipartite
	v = 144 e = 384 f = 200
	degree seq :: [ 4^96, 8^48 ]

E21.3024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-5 * Y1^-2 * Y2^-2 * Y1, Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 62, 254, 29, 221)(17, 209, 37, 229, 77, 269, 39, 231)(20, 212, 43, 235, 86, 278, 41, 233)(22, 214, 47, 239, 94, 286, 45, 237)(24, 216, 51, 243, 70, 262, 53, 245)(26, 218, 46, 238, 95, 287, 56, 248)(27, 219, 57, 249, 109, 301, 59, 251)(30, 222, 63, 255, 84, 276, 40, 232)(32, 224, 67, 259, 76, 268, 65, 257)(33, 225, 69, 261, 127, 319, 71, 263)(36, 228, 75, 267, 134, 326, 73, 265)(38, 230, 79, 271, 58, 250, 81, 273)(42, 234, 87, 279, 132, 324, 72, 264)(44, 236, 91, 283, 48, 240, 89, 281)(50, 242, 100, 292, 133, 325, 99, 291)(52, 244, 103, 295, 161, 353, 105, 297)(54, 246, 83, 275, 148, 340, 107, 299)(55, 247, 108, 300, 160, 352, 110, 302)(60, 252, 74, 266, 135, 327, 115, 307)(61, 253, 116, 308, 128, 320, 118, 310)(64, 256, 90, 282, 156, 348, 119, 311)(66, 258, 122, 314, 162, 354, 96, 288)(68, 260, 125, 317, 141, 333, 124, 316)(78, 270, 140, 332, 93, 285, 139, 331)(80, 272, 143, 335, 117, 309, 145, 337)(82, 274, 131, 323, 178, 370, 147, 339)(85, 277, 150, 342, 112, 304, 152, 344)(88, 280, 137, 329, 104, 296, 153, 345)(92, 284, 159, 351, 175, 367, 158, 350)(97, 289, 144, 336, 181, 373, 136, 328)(98, 290, 165, 357, 101, 293, 155, 347)(102, 294, 151, 343, 176, 368, 129, 321)(106, 298, 146, 338, 177, 369, 170, 362)(111, 303, 163, 355, 185, 377, 171, 363)(113, 305, 142, 334, 180, 372, 166, 358)(114, 306, 173, 365, 126, 318, 130, 322)(120, 312, 169, 361, 187, 379, 149, 341)(121, 313, 138, 330, 184, 376, 172, 364)(123, 315, 157, 349, 183, 375, 164, 356)(154, 346, 186, 378, 174, 366, 179, 371)(167, 359, 182, 374, 168, 360, 188, 380)(189, 381, 191, 383, 190, 382, 192, 384)(385, 577, 387, 579, 394, 586, 408, 600, 436, 628, 488, 680, 541, 733, 474, 666, 427, 619, 473, 665, 539, 731, 572, 764, 576, 768, 570, 762, 527, 719, 465, 657, 443, 635, 494, 686, 554, 746, 510, 702, 452, 644, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 464, 656, 528, 720, 567, 759, 521, 713, 459, 651, 451, 643, 508, 700, 555, 747, 573, 765, 552, 744, 486, 678, 435, 627, 409, 601, 438, 630, 490, 682, 544, 736, 476, 668, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 442, 634, 497, 689, 540, 732, 507, 699, 450, 642, 415, 607, 449, 641, 505, 697, 558, 750, 574, 766, 553, 745, 487, 679, 437, 629, 455, 647, 514, 706, 561, 753, 531, 723, 482, 674, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 454, 646, 513, 705, 506, 698, 548, 740, 481, 673, 431, 623, 475, 667, 542, 734, 571, 763, 575, 767, 569, 761, 526, 718, 463, 655, 423, 615, 466, 658, 530, 722, 491, 683, 522, 714, 460, 652, 420, 612, 400, 592)(395, 587, 410, 602, 439, 631, 493, 685, 534, 726, 470, 662, 448, 640, 414, 606, 397, 589, 413, 605, 445, 637, 501, 693, 538, 730, 471, 663, 537, 729, 489, 681, 524, 716, 509, 701, 557, 749, 499, 691, 551, 743, 485, 677, 434, 626, 407, 599)(402, 594, 424, 616, 467, 659, 433, 625, 483, 675, 518, 710, 472, 664, 426, 618, 403, 595, 425, 617, 469, 661, 535, 727, 566, 758, 519, 711, 565, 757, 529, 721, 502, 694, 543, 735, 492, 684, 440, 632, 495, 687, 525, 717, 462, 654, 421, 613)(405, 597, 429, 621, 477, 669, 545, 737, 504, 696, 447, 639, 503, 695, 550, 742, 484, 676, 549, 741, 562, 754, 516, 708, 563, 755, 556, 748, 496, 688, 441, 633, 412, 604, 444, 636, 498, 690, 511, 703, 500, 692, 446, 638, 480, 672, 430, 622)(418, 610, 456, 648, 515, 707, 461, 653, 523, 715, 478, 670, 520, 712, 458, 650, 419, 611, 457, 649, 517, 709, 564, 756, 547, 739, 479, 671, 546, 738, 560, 752, 536, 728, 568, 760, 532, 724, 468, 660, 533, 725, 559, 751, 512, 704, 453, 645)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 442)(28, 444)(29, 445)(30, 397)(31, 449)(32, 398)(33, 454)(34, 456)(35, 457)(36, 400)(37, 402)(38, 464)(39, 466)(40, 467)(41, 469)(42, 403)(43, 473)(44, 404)(45, 477)(46, 405)(47, 475)(48, 406)(49, 483)(50, 407)(51, 409)(52, 488)(53, 455)(54, 490)(55, 493)(56, 495)(57, 412)(58, 497)(59, 494)(60, 498)(61, 501)(62, 480)(63, 503)(64, 414)(65, 505)(66, 415)(67, 508)(68, 416)(69, 418)(70, 513)(71, 514)(72, 515)(73, 517)(74, 419)(75, 451)(76, 420)(77, 523)(78, 421)(79, 423)(80, 528)(81, 443)(82, 530)(83, 433)(84, 533)(85, 535)(86, 448)(87, 537)(88, 426)(89, 539)(90, 427)(91, 542)(92, 428)(93, 545)(94, 520)(95, 546)(96, 430)(97, 431)(98, 432)(99, 518)(100, 549)(101, 434)(102, 435)(103, 437)(104, 541)(105, 524)(106, 544)(107, 522)(108, 440)(109, 534)(110, 554)(111, 525)(112, 441)(113, 540)(114, 511)(115, 551)(116, 446)(117, 538)(118, 543)(119, 550)(120, 447)(121, 558)(122, 548)(123, 450)(124, 555)(125, 557)(126, 452)(127, 500)(128, 453)(129, 506)(130, 561)(131, 461)(132, 563)(133, 564)(134, 472)(135, 565)(136, 458)(137, 459)(138, 460)(139, 478)(140, 509)(141, 462)(142, 463)(143, 465)(144, 567)(145, 502)(146, 491)(147, 482)(148, 468)(149, 559)(150, 470)(151, 566)(152, 568)(153, 489)(154, 471)(155, 572)(156, 507)(157, 474)(158, 571)(159, 492)(160, 476)(161, 504)(162, 560)(163, 479)(164, 481)(165, 562)(166, 484)(167, 485)(168, 486)(169, 487)(170, 510)(171, 573)(172, 496)(173, 499)(174, 574)(175, 512)(176, 536)(177, 531)(178, 516)(179, 556)(180, 547)(181, 529)(182, 519)(183, 521)(184, 532)(185, 526)(186, 527)(187, 575)(188, 576)(189, 552)(190, 553)(191, 569)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3025
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 8^48, 48^8 ]

E21.3025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3 * Y2)^3, Y3 * Y2 * Y3^4 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y2 * Y3 * Y2)^3, Y3^6 * Y2 * Y3^-6 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 443, 635)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 450, 642)(421, 613, 454, 646)(423, 615, 458, 650)(424, 616, 460, 652)(425, 617, 462, 654)(426, 618, 456, 648)(428, 620, 467, 659)(429, 621, 469, 661)(431, 623, 473, 665)(432, 624, 472, 664)(433, 625, 476, 668)(435, 627, 480, 672)(437, 629, 484, 676)(438, 630, 486, 678)(439, 631, 488, 680)(440, 632, 482, 674)(442, 634, 493, 685)(444, 636, 478, 670)(445, 637, 471, 663)(448, 640, 491, 683)(449, 641, 501, 693)(451, 643, 504, 696)(452, 644, 470, 662)(453, 645, 485, 677)(455, 647, 509, 701)(457, 649, 483, 675)(459, 651, 479, 671)(461, 653, 492, 684)(463, 655, 517, 709)(464, 656, 519, 711)(465, 657, 474, 666)(466, 658, 487, 679)(468, 660, 524, 716)(475, 667, 532, 724)(477, 669, 535, 727)(481, 673, 540, 732)(489, 681, 548, 740)(490, 682, 550, 742)(494, 686, 555, 747)(495, 687, 546, 738)(496, 688, 547, 739)(497, 689, 530, 722)(498, 690, 560, 752)(499, 691, 528, 720)(500, 692, 561, 753)(502, 694, 537, 729)(503, 695, 545, 737)(505, 697, 552, 744)(506, 698, 533, 725)(507, 699, 549, 741)(508, 700, 559, 751)(510, 702, 541, 733)(511, 703, 543, 735)(512, 704, 542, 734)(513, 705, 566, 758)(514, 706, 534, 726)(515, 707, 526, 718)(516, 708, 527, 719)(518, 710, 538, 730)(520, 712, 553, 745)(521, 713, 536, 728)(522, 714, 551, 743)(523, 715, 557, 749)(525, 717, 556, 748)(529, 721, 570, 762)(531, 723, 571, 763)(539, 731, 569, 761)(544, 736, 576, 768)(554, 746, 567, 759)(558, 750, 568, 760)(562, 754, 572, 764)(563, 755, 575, 767)(564, 756, 574, 766)(565, 757, 573, 765)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 444)(32, 445)(33, 400)(34, 449)(35, 401)(36, 452)(37, 455)(38, 456)(39, 459)(40, 404)(41, 463)(42, 405)(43, 465)(44, 406)(45, 470)(46, 471)(47, 408)(48, 475)(49, 409)(50, 478)(51, 481)(52, 482)(53, 485)(54, 412)(55, 489)(56, 413)(57, 491)(58, 414)(59, 495)(60, 476)(61, 497)(62, 416)(63, 493)(64, 417)(65, 502)(66, 503)(67, 419)(68, 506)(69, 420)(70, 484)(71, 510)(72, 498)(73, 422)(74, 512)(75, 513)(76, 514)(77, 424)(78, 487)(79, 518)(80, 426)(81, 521)(82, 427)(83, 523)(84, 428)(85, 526)(86, 450)(87, 528)(88, 430)(89, 467)(90, 431)(91, 533)(92, 534)(93, 433)(94, 537)(95, 434)(96, 458)(97, 541)(98, 529)(99, 436)(100, 543)(101, 544)(102, 545)(103, 438)(104, 461)(105, 549)(106, 440)(107, 552)(108, 441)(109, 554)(110, 442)(111, 557)(112, 443)(113, 559)(114, 446)(115, 447)(116, 448)(117, 531)(118, 547)(119, 551)(120, 561)(121, 451)(122, 556)(123, 453)(124, 454)(125, 530)(126, 553)(127, 457)(128, 555)(129, 550)(130, 562)(131, 460)(132, 462)(133, 558)(134, 565)(135, 540)(136, 464)(137, 564)(138, 466)(139, 563)(140, 532)(141, 468)(142, 567)(143, 469)(144, 569)(145, 472)(146, 473)(147, 474)(148, 500)(149, 516)(150, 520)(151, 571)(152, 477)(153, 525)(154, 479)(155, 480)(156, 499)(157, 522)(158, 483)(159, 524)(160, 519)(161, 572)(162, 486)(163, 488)(164, 568)(165, 575)(166, 509)(167, 490)(168, 574)(169, 492)(170, 573)(171, 501)(172, 494)(173, 511)(174, 496)(175, 515)(176, 576)(177, 570)(178, 504)(179, 505)(180, 507)(181, 508)(182, 517)(183, 542)(184, 527)(185, 546)(186, 566)(187, 560)(188, 535)(189, 536)(190, 538)(191, 539)(192, 548)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3024
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.3026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|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)^4, Y3 * Y1^-4 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^3, Y1^-6 * Y3 * Y1^-3 * Y3 * Y1^-3, Y3 * Y1^6 * Y3 * Y1^-6 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 85, 277, 142, 334, 125, 317, 70, 262, 109, 301, 163, 355, 186, 378, 174, 366, 113, 305, 60, 252, 100, 292, 155, 347, 141, 333, 84, 276, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 111, 303, 143, 335, 138, 330, 82, 274, 43, 235, 81, 273, 137, 329, 153, 345, 92, 284, 48, 240, 24, 216, 47, 239, 89, 281, 149, 341, 126, 318, 71, 263, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 99, 291, 165, 357, 136, 328, 80, 272, 42, 234, 21, 213, 41, 233, 78, 270, 132, 324, 148, 340, 88, 280, 46, 238, 87, 279, 146, 338, 140, 332, 172, 364, 110, 302, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 72, 264, 127, 319, 145, 337, 86, 278, 144, 336, 118, 310, 83, 275, 139, 331, 164, 356, 98, 290, 52, 244, 26, 218, 12, 204, 25, 217, 49, 241, 93, 285, 154, 346, 123, 315, 77, 269, 40, 232, 20, 212)(16, 208, 33, 225, 63, 255, 90, 282, 51, 243, 96, 288, 159, 351, 124, 316, 69, 261, 36, 228, 68, 260, 122, 314, 152, 344, 185, 377, 173, 365, 112, 304, 73, 265, 128, 320, 157, 349, 94, 286, 156, 348, 119, 311, 65, 257, 34, 226)(17, 209, 35, 227, 66, 258, 91, 283, 151, 343, 135, 327, 171, 363, 108, 300, 57, 249, 107, 299, 170, 362, 183, 375, 177, 369, 116, 308, 62, 254, 32, 224, 61, 253, 114, 306, 150, 342, 134, 326, 79, 271, 104, 296, 55, 247, 28, 220)(29, 221, 56, 248, 105, 297, 147, 339, 131, 323, 76, 268, 130, 322, 162, 354, 97, 289, 161, 353, 189, 381, 182, 374, 133, 325, 168, 360, 102, 294, 54, 246, 101, 293, 166, 358, 129, 321, 75, 267, 39, 231, 74, 266, 95, 287, 50, 242)(64, 256, 106, 298, 169, 361, 190, 382, 167, 359, 103, 295, 160, 352, 188, 380, 176, 368, 187, 379, 158, 350, 184, 376, 181, 373, 191, 383, 179, 371, 117, 309, 178, 370, 192, 384, 180, 372, 121, 313, 67, 259, 120, 312, 175, 367, 115, 307)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 448)(35, 451)(36, 402)(37, 454)(38, 457)(39, 403)(40, 460)(41, 463)(42, 458)(43, 406)(44, 467)(45, 470)(46, 407)(47, 474)(48, 475)(49, 478)(50, 409)(51, 410)(52, 481)(53, 484)(54, 411)(55, 487)(56, 490)(57, 414)(58, 493)(59, 496)(60, 415)(61, 499)(62, 483)(63, 501)(64, 418)(65, 502)(66, 471)(67, 419)(68, 507)(69, 504)(70, 421)(71, 491)(72, 497)(73, 422)(74, 426)(75, 505)(76, 424)(77, 509)(78, 517)(79, 425)(80, 519)(81, 503)(82, 488)(83, 428)(84, 524)(85, 527)(86, 429)(87, 450)(88, 531)(89, 534)(90, 431)(91, 432)(92, 536)(93, 539)(94, 433)(95, 542)(96, 544)(97, 436)(98, 547)(99, 446)(100, 437)(101, 551)(102, 538)(103, 439)(104, 466)(105, 528)(106, 440)(107, 455)(108, 553)(109, 442)(110, 545)(111, 555)(112, 443)(113, 456)(114, 556)(115, 445)(116, 560)(117, 447)(118, 449)(119, 465)(120, 453)(121, 459)(122, 565)(123, 452)(124, 529)(125, 461)(126, 541)(127, 566)(128, 564)(129, 530)(130, 549)(131, 562)(132, 558)(133, 462)(134, 563)(135, 464)(136, 526)(137, 561)(138, 543)(139, 550)(140, 468)(141, 533)(142, 520)(143, 469)(144, 489)(145, 508)(146, 513)(147, 472)(148, 567)(149, 525)(150, 473)(151, 568)(152, 476)(153, 570)(154, 486)(155, 477)(156, 571)(157, 510)(158, 479)(159, 522)(160, 480)(161, 494)(162, 572)(163, 482)(164, 569)(165, 514)(166, 523)(167, 485)(168, 575)(169, 492)(170, 576)(171, 495)(172, 498)(173, 574)(174, 516)(175, 573)(176, 500)(177, 521)(178, 515)(179, 518)(180, 512)(181, 506)(182, 511)(183, 532)(184, 535)(185, 548)(186, 537)(187, 540)(188, 546)(189, 559)(190, 557)(191, 552)(192, 554)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3023
Graph:: simple bipartite
	v = 200 e = 384 f = 144
	degree seq :: [ 2^192, 48^8 ]

E21.3027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2 * Y1)^3, R * Y2^4 * R * Y1 * Y2^4 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^3, Y2 * Y1 * Y2^4 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2^-2 * R * Y2^-1 * R * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-3, Y2^-1 * Y1 * Y2 * R * Y2^5 * R * Y2^-2 * Y1 * Y2^-1, Y2^6 * Y1 * Y2^-6 * Y1, Y2^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 59, 251)(33, 225, 63, 255)(34, 226, 62, 254)(35, 227, 66, 258)(37, 229, 70, 262)(39, 231, 74, 266)(40, 232, 76, 268)(41, 233, 78, 270)(42, 234, 72, 264)(44, 236, 83, 275)(45, 237, 85, 277)(47, 239, 89, 281)(48, 240, 88, 280)(49, 241, 92, 284)(51, 243, 96, 288)(53, 245, 100, 292)(54, 246, 102, 294)(55, 247, 104, 296)(56, 248, 98, 290)(58, 250, 109, 301)(60, 252, 94, 286)(61, 253, 87, 279)(64, 256, 107, 299)(65, 257, 117, 309)(67, 259, 120, 312)(68, 260, 86, 278)(69, 261, 101, 293)(71, 263, 125, 317)(73, 265, 99, 291)(75, 267, 95, 287)(77, 269, 108, 300)(79, 271, 133, 325)(80, 272, 135, 327)(81, 273, 90, 282)(82, 274, 103, 295)(84, 276, 140, 332)(91, 283, 148, 340)(93, 285, 151, 343)(97, 289, 156, 348)(105, 297, 164, 356)(106, 298, 166, 358)(110, 302, 171, 363)(111, 303, 162, 354)(112, 304, 163, 355)(113, 305, 146, 338)(114, 306, 176, 368)(115, 307, 144, 336)(116, 308, 177, 369)(118, 310, 153, 345)(119, 311, 161, 353)(121, 313, 168, 360)(122, 314, 149, 341)(123, 315, 165, 357)(124, 316, 175, 367)(126, 318, 157, 349)(127, 319, 159, 351)(128, 320, 158, 350)(129, 321, 182, 374)(130, 322, 150, 342)(131, 323, 142, 334)(132, 324, 143, 335)(134, 326, 154, 346)(136, 328, 169, 361)(137, 329, 152, 344)(138, 330, 167, 359)(139, 331, 173, 365)(141, 333, 172, 364)(145, 337, 186, 378)(147, 339, 187, 379)(155, 347, 185, 377)(160, 352, 192, 384)(170, 362, 183, 375)(174, 366, 184, 376)(178, 370, 188, 380)(179, 371, 191, 383)(180, 372, 190, 382)(181, 373, 189, 381)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 455, 647, 510, 702, 553, 745, 492, 684, 441, 633, 491, 683, 552, 744, 574, 766, 538, 730, 479, 671, 434, 626, 478, 670, 537, 729, 525, 717, 468, 660, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 481, 673, 541, 733, 522, 714, 466, 658, 427, 619, 465, 657, 521, 713, 564, 756, 507, 699, 453, 645, 420, 612, 452, 644, 506, 698, 556, 748, 494, 686, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 444, 636, 476, 668, 534, 726, 520, 712, 464, 656, 426, 618, 405, 597, 425, 617, 463, 655, 518, 710, 565, 757, 508, 700, 454, 646, 484, 676, 543, 735, 524, 716, 532, 724, 500, 692, 448, 640, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 459, 651, 513, 705, 550, 742, 509, 701, 530, 722, 473, 665, 467, 659, 523, 715, 563, 755, 505, 697, 451, 643, 419, 611, 401, 593, 418, 610, 449, 641, 502, 694, 547, 739, 488, 680, 461, 653, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 470, 662, 450, 642, 503, 695, 551, 743, 490, 682, 440, 632, 413, 605, 439, 631, 489, 681, 549, 741, 575, 767, 539, 731, 480, 672, 458, 650, 512, 704, 555, 747, 501, 693, 531, 723, 474, 666, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 485, 677, 544, 736, 519, 711, 540, 732, 499, 691, 447, 639, 493, 685, 554, 746, 573, 765, 536, 728, 477, 669, 433, 625, 409, 601, 432, 624, 475, 667, 533, 725, 516, 708, 462, 654, 487, 679, 438, 630, 412, 604)(416, 608, 445, 637, 497, 689, 559, 751, 515, 707, 460, 652, 514, 706, 562, 754, 504, 696, 561, 753, 570, 762, 566, 758, 517, 709, 558, 750, 496, 688, 443, 635, 495, 687, 557, 749, 511, 703, 457, 649, 422, 614, 456, 648, 498, 690, 446, 638)(430, 622, 471, 663, 528, 720, 569, 761, 546, 738, 486, 678, 545, 737, 572, 764, 535, 727, 571, 763, 560, 752, 576, 768, 548, 740, 568, 760, 527, 719, 469, 661, 526, 718, 567, 759, 542, 734, 483, 675, 436, 628, 482, 674, 529, 721, 472, 664)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 443)(32, 400)(33, 447)(34, 446)(35, 450)(36, 402)(37, 454)(38, 403)(39, 458)(40, 460)(41, 462)(42, 456)(43, 406)(44, 467)(45, 469)(46, 408)(47, 473)(48, 472)(49, 476)(50, 410)(51, 480)(52, 411)(53, 484)(54, 486)(55, 488)(56, 482)(57, 414)(58, 493)(59, 415)(60, 478)(61, 471)(62, 418)(63, 417)(64, 491)(65, 501)(66, 419)(67, 504)(68, 470)(69, 485)(70, 421)(71, 509)(72, 426)(73, 483)(74, 423)(75, 479)(76, 424)(77, 492)(78, 425)(79, 517)(80, 519)(81, 474)(82, 487)(83, 428)(84, 524)(85, 429)(86, 452)(87, 445)(88, 432)(89, 431)(90, 465)(91, 532)(92, 433)(93, 535)(94, 444)(95, 459)(96, 435)(97, 540)(98, 440)(99, 457)(100, 437)(101, 453)(102, 438)(103, 466)(104, 439)(105, 548)(106, 550)(107, 448)(108, 461)(109, 442)(110, 555)(111, 546)(112, 547)(113, 530)(114, 560)(115, 528)(116, 561)(117, 449)(118, 537)(119, 545)(120, 451)(121, 552)(122, 533)(123, 549)(124, 559)(125, 455)(126, 541)(127, 543)(128, 542)(129, 566)(130, 534)(131, 526)(132, 527)(133, 463)(134, 538)(135, 464)(136, 553)(137, 536)(138, 551)(139, 557)(140, 468)(141, 556)(142, 515)(143, 516)(144, 499)(145, 570)(146, 497)(147, 571)(148, 475)(149, 506)(150, 514)(151, 477)(152, 521)(153, 502)(154, 518)(155, 569)(156, 481)(157, 510)(158, 512)(159, 511)(160, 576)(161, 503)(162, 495)(163, 496)(164, 489)(165, 507)(166, 490)(167, 522)(168, 505)(169, 520)(170, 567)(171, 494)(172, 525)(173, 523)(174, 568)(175, 508)(176, 498)(177, 500)(178, 572)(179, 575)(180, 574)(181, 573)(182, 513)(183, 554)(184, 558)(185, 539)(186, 529)(187, 531)(188, 562)(189, 565)(190, 564)(191, 563)(192, 544)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3028
Graph:: bipartite
	v = 104 e = 384 f = 240
	degree seq :: [ 4^96, 48^8 ]

E21.3028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 964>)
Aut   = $<384, 18046>$ (small group id <384, 18046>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^2 * Y3^3 * Y1^-1, Y3^-2 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1^2 * Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 62, 254, 29, 221)(17, 209, 37, 229, 77, 269, 39, 231)(20, 212, 43, 235, 86, 278, 41, 233)(22, 214, 47, 239, 94, 286, 45, 237)(24, 216, 51, 243, 70, 262, 53, 245)(26, 218, 46, 238, 95, 287, 56, 248)(27, 219, 57, 249, 109, 301, 59, 251)(30, 222, 63, 255, 84, 276, 40, 232)(32, 224, 67, 259, 76, 268, 65, 257)(33, 225, 69, 261, 127, 319, 71, 263)(36, 228, 75, 267, 134, 326, 73, 265)(38, 230, 79, 271, 58, 250, 81, 273)(42, 234, 87, 279, 132, 324, 72, 264)(44, 236, 91, 283, 48, 240, 89, 281)(50, 242, 100, 292, 133, 325, 99, 291)(52, 244, 103, 295, 161, 353, 105, 297)(54, 246, 83, 275, 148, 340, 107, 299)(55, 247, 108, 300, 160, 352, 110, 302)(60, 252, 74, 266, 135, 327, 115, 307)(61, 253, 116, 308, 128, 320, 118, 310)(64, 256, 90, 282, 156, 348, 119, 311)(66, 258, 122, 314, 162, 354, 96, 288)(68, 260, 125, 317, 141, 333, 124, 316)(78, 270, 140, 332, 93, 285, 139, 331)(80, 272, 143, 335, 117, 309, 145, 337)(82, 274, 131, 323, 178, 370, 147, 339)(85, 277, 150, 342, 112, 304, 152, 344)(88, 280, 137, 329, 104, 296, 153, 345)(92, 284, 159, 351, 175, 367, 158, 350)(97, 289, 144, 336, 181, 373, 136, 328)(98, 290, 165, 357, 101, 293, 155, 347)(102, 294, 151, 343, 176, 368, 129, 321)(106, 298, 146, 338, 177, 369, 170, 362)(111, 303, 163, 355, 185, 377, 171, 363)(113, 305, 142, 334, 180, 372, 166, 358)(114, 306, 173, 365, 126, 318, 130, 322)(120, 312, 169, 361, 187, 379, 149, 341)(121, 313, 138, 330, 184, 376, 172, 364)(123, 315, 157, 349, 183, 375, 164, 356)(154, 346, 186, 378, 174, 366, 179, 371)(167, 359, 182, 374, 168, 360, 188, 380)(189, 381, 191, 383, 190, 382, 192, 384)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 442)(28, 444)(29, 445)(30, 397)(31, 449)(32, 398)(33, 454)(34, 456)(35, 457)(36, 400)(37, 402)(38, 464)(39, 466)(40, 467)(41, 469)(42, 403)(43, 473)(44, 404)(45, 477)(46, 405)(47, 475)(48, 406)(49, 483)(50, 407)(51, 409)(52, 488)(53, 455)(54, 490)(55, 493)(56, 495)(57, 412)(58, 497)(59, 494)(60, 498)(61, 501)(62, 480)(63, 503)(64, 414)(65, 505)(66, 415)(67, 508)(68, 416)(69, 418)(70, 513)(71, 514)(72, 515)(73, 517)(74, 419)(75, 451)(76, 420)(77, 523)(78, 421)(79, 423)(80, 528)(81, 443)(82, 530)(83, 433)(84, 533)(85, 535)(86, 448)(87, 537)(88, 426)(89, 539)(90, 427)(91, 542)(92, 428)(93, 545)(94, 520)(95, 546)(96, 430)(97, 431)(98, 432)(99, 518)(100, 549)(101, 434)(102, 435)(103, 437)(104, 541)(105, 524)(106, 544)(107, 522)(108, 440)(109, 534)(110, 554)(111, 525)(112, 441)(113, 540)(114, 511)(115, 551)(116, 446)(117, 538)(118, 543)(119, 550)(120, 447)(121, 558)(122, 548)(123, 450)(124, 555)(125, 557)(126, 452)(127, 500)(128, 453)(129, 506)(130, 561)(131, 461)(132, 563)(133, 564)(134, 472)(135, 565)(136, 458)(137, 459)(138, 460)(139, 478)(140, 509)(141, 462)(142, 463)(143, 465)(144, 567)(145, 502)(146, 491)(147, 482)(148, 468)(149, 559)(150, 470)(151, 566)(152, 568)(153, 489)(154, 471)(155, 572)(156, 507)(157, 474)(158, 571)(159, 492)(160, 476)(161, 504)(162, 560)(163, 479)(164, 481)(165, 562)(166, 484)(167, 485)(168, 486)(169, 487)(170, 510)(171, 573)(172, 496)(173, 499)(174, 574)(175, 512)(176, 536)(177, 531)(178, 516)(179, 556)(180, 547)(181, 529)(182, 519)(183, 521)(184, 532)(185, 526)(186, 527)(187, 575)(188, 576)(189, 552)(190, 553)(191, 569)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3027
Graph:: simple bipartite
	v = 240 e = 384 f = 104
	degree seq :: [ 2^192, 8^48 ]

E21.3029 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^3 * T2 * T1^-2, (T1^-1 * T2)^4, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 65, 94, 124, 151, 175, 189, 192, 191, 188, 174, 150, 123, 93, 64, 40, 22, 10, 4)(3, 7, 15, 24, 43, 68, 95, 126, 153, 176, 156, 179, 190, 185, 173, 186, 162, 138, 118, 87, 58, 36, 18, 8)(6, 13, 27, 42, 67, 97, 125, 109, 139, 163, 178, 166, 187, 172, 148, 171, 147, 120, 92, 63, 39, 21, 30, 14)(9, 19, 26, 12, 25, 44, 66, 96, 127, 152, 134, 158, 181, 167, 184, 168, 145, 116, 143, 114, 83, 62, 38, 20)(16, 32, 53, 69, 46, 72, 100, 70, 99, 130, 154, 137, 161, 182, 159, 183, 160, 136, 117, 86, 57, 35, 55, 33)(17, 34, 52, 31, 51, 79, 98, 129, 155, 177, 157, 180, 170, 146, 169, 149, 122, 91, 108, 78, 50, 76, 48, 28)(29, 49, 74, 47, 73, 103, 128, 115, 144, 164, 140, 165, 142, 113, 141, 121, 90, 61, 89, 60, 37, 59, 71, 45)(54, 82, 112, 81, 111, 133, 102, 88, 119, 131, 101, 132, 107, 77, 106, 135, 104, 75, 105, 85, 56, 84, 110, 80)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 37)(20, 32)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(33, 54)(34, 56)(38, 61)(39, 59)(40, 62)(41, 66)(43, 69)(44, 70)(48, 75)(49, 77)(51, 80)(52, 67)(53, 81)(55, 83)(57, 84)(58, 76)(60, 88)(63, 91)(64, 92)(65, 95)(68, 98)(71, 101)(72, 102)(73, 104)(74, 96)(78, 106)(79, 109)(82, 113)(85, 115)(86, 116)(87, 117)(89, 120)(90, 111)(93, 118)(94, 125)(97, 128)(99, 131)(100, 126)(103, 134)(105, 136)(107, 137)(108, 138)(110, 140)(112, 129)(114, 141)(119, 146)(121, 148)(122, 132)(123, 143)(124, 152)(127, 154)(130, 156)(133, 157)(135, 159)(139, 164)(142, 166)(144, 167)(145, 165)(147, 169)(149, 173)(150, 171)(151, 176)(153, 177)(155, 178)(158, 182)(160, 184)(161, 185)(162, 183)(163, 175)(168, 188)(170, 179)(172, 180)(174, 186)(181, 189)(187, 191)(190, 192)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3030
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.3030 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1, (T2 * T1^-1 * T2 * T1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 77, 49)(30, 50, 79, 51)(32, 53, 82, 54)(33, 55, 85, 56)(34, 57, 88, 58)(42, 60, 83, 69)(43, 70, 101, 71)(45, 61, 92, 73)(46, 64, 87, 74)(47, 75, 105, 76)(52, 80, 109, 81)(63, 84, 113, 94)(66, 91, 119, 96)(67, 97, 126, 98)(68, 99, 128, 100)(72, 90, 118, 103)(78, 108, 115, 86)(89, 112, 141, 117)(93, 111, 140, 121)(95, 123, 153, 124)(102, 125, 155, 131)(104, 133, 157, 127)(106, 135, 143, 114)(107, 136, 139, 110)(116, 145, 172, 146)(120, 147, 173, 150)(122, 152, 174, 148)(129, 149, 168, 159)(130, 154, 176, 160)(132, 151, 170, 156)(134, 161, 180, 162)(137, 158, 179, 163)(138, 164, 181, 165)(142, 166, 182, 169)(144, 171, 183, 167)(175, 184, 190, 187)(177, 185, 191, 189)(178, 186, 192, 188)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 72)(48, 69)(49, 78)(50, 71)(51, 74)(53, 83)(54, 84)(55, 86)(56, 87)(57, 89)(58, 90)(59, 91)(62, 93)(65, 95)(70, 102)(73, 104)(75, 100)(76, 106)(77, 107)(79, 98)(80, 110)(81, 111)(82, 112)(85, 114)(88, 116)(92, 120)(94, 122)(96, 125)(97, 127)(99, 129)(101, 130)(103, 132)(105, 134)(108, 137)(109, 138)(113, 142)(115, 144)(117, 147)(118, 148)(119, 149)(121, 151)(123, 150)(124, 154)(126, 156)(128, 158)(131, 161)(133, 146)(135, 160)(136, 159)(139, 166)(140, 167)(141, 168)(143, 170)(145, 169)(152, 165)(153, 175)(155, 177)(157, 178)(162, 171)(163, 164)(172, 184)(173, 185)(174, 186)(176, 188)(179, 189)(180, 187)(181, 190)(182, 191)(183, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3029
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.3031 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2, T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, (T1 * T2^-1 * T1 * T2)^6 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 69, 43)(28, 47, 75, 48)(30, 50, 79, 51)(31, 52, 80, 53)(33, 55, 84, 56)(36, 60, 90, 61)(38, 63, 94, 64)(41, 66, 96, 67)(44, 70, 100, 71)(46, 73, 104, 74)(49, 77, 107, 78)(54, 81, 110, 82)(57, 85, 114, 86)(59, 88, 118, 89)(62, 92, 121, 93)(68, 97, 126, 98)(72, 101, 131, 102)(76, 106, 132, 103)(83, 111, 141, 112)(87, 115, 146, 116)(91, 120, 147, 117)(95, 123, 153, 124)(99, 128, 157, 129)(105, 134, 158, 130)(108, 137, 161, 133)(109, 138, 164, 139)(113, 143, 168, 144)(119, 149, 169, 145)(122, 152, 172, 148)(125, 154, 173, 150)(127, 156, 174, 151)(135, 140, 165, 162)(136, 142, 167, 163)(155, 176, 187, 175)(159, 179, 188, 177)(160, 180, 189, 178)(166, 182, 190, 181)(170, 185, 191, 183)(171, 186, 192, 184)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 244)(232, 252)(234, 260)(235, 255)(237, 264)(239, 245)(240, 268)(242, 248)(243, 256)(247, 275)(250, 279)(253, 283)(257, 277)(258, 287)(259, 284)(261, 291)(262, 272)(263, 289)(265, 295)(266, 286)(267, 297)(269, 274)(270, 300)(271, 281)(273, 301)(276, 305)(278, 303)(280, 309)(282, 311)(285, 314)(288, 317)(290, 319)(292, 315)(293, 322)(294, 320)(296, 325)(298, 327)(299, 328)(302, 332)(304, 334)(306, 330)(307, 337)(308, 335)(310, 340)(312, 342)(313, 343)(316, 341)(318, 347)(321, 344)(323, 351)(324, 352)(326, 331)(329, 336)(333, 358)(338, 362)(339, 363)(345, 356)(346, 367)(348, 369)(349, 370)(350, 368)(353, 364)(354, 371)(355, 372)(357, 373)(359, 375)(360, 376)(361, 374)(365, 377)(366, 378)(379, 382)(380, 383)(381, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3035
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.3032 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1 * T2^2, T2 * T1^-1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-1)^8, (T1^-1 * T2^2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 51, 86, 126, 139, 175, 191, 182, 167, 186, 152, 185, 192, 180, 144, 116, 78, 43, 32, 14, 5)(2, 7, 17, 38, 25, 53, 88, 127, 161, 190, 164, 130, 165, 178, 170, 189, 160, 121, 145, 106, 68, 44, 20, 8)(4, 12, 27, 52, 64, 100, 138, 110, 149, 181, 163, 177, 169, 133, 168, 188, 154, 115, 97, 61, 31, 48, 22, 9)(6, 15, 33, 63, 39, 72, 109, 89, 128, 162, 183, 151, 184, 158, 187, 171, 135, 96, 122, 83, 47, 69, 36, 16)(11, 26, 54, 87, 118, 157, 131, 93, 132, 166, 173, 153, 114, 76, 113, 148, 108, 75, 60, 30, 13, 29, 50, 23)(18, 40, 73, 49, 84, 123, 90, 55, 91, 129, 155, 179, 143, 104, 142, 174, 137, 103, 77, 42, 19, 41, 71, 37)(21, 45, 79, 56, 28, 57, 92, 98, 136, 172, 140, 102, 141, 176, 147, 134, 95, 59, 94, 125, 85, 58, 82, 46)(34, 65, 101, 70, 107, 146, 111, 74, 112, 150, 124, 159, 120, 81, 119, 156, 117, 80, 105, 67, 35, 66, 99, 62)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 250, 221)(209, 229, 262, 231)(212, 235, 267, 233)(214, 239, 272, 237)(216, 230, 255, 244)(218, 238, 273, 247)(219, 248, 279, 243)(222, 251, 266, 232)(224, 236, 261, 240)(225, 254, 290, 256)(228, 260, 295, 258)(234, 268, 294, 257)(242, 277, 316, 276)(245, 265, 303, 281)(246, 282, 319, 278)(249, 259, 296, 285)(252, 270, 307, 286)(253, 288, 311, 274)(263, 300, 339, 299)(264, 293, 332, 302)(269, 298, 336, 305)(271, 309, 347, 310)(275, 313, 334, 297)(280, 301, 330, 318)(283, 312, 350, 322)(284, 323, 331, 292)(287, 325, 343, 304)(289, 308, 337, 314)(291, 329, 365, 328)(306, 344, 369, 333)(315, 342, 375, 353)(317, 346, 379, 351)(320, 338, 368, 355)(321, 356, 367, 349)(324, 335, 370, 359)(326, 340, 372, 360)(327, 362, 371, 348)(341, 364, 358, 374)(345, 366, 352, 377)(354, 373, 383, 382)(357, 376, 361, 378)(363, 380, 384, 381)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3036
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.3033 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-1 * T2 * T1^3 * T2 * T1^-2, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 37)(20, 32)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(33, 54)(34, 56)(38, 61)(39, 59)(40, 62)(41, 66)(43, 69)(44, 70)(48, 75)(49, 77)(51, 80)(52, 67)(53, 81)(55, 83)(57, 84)(58, 76)(60, 88)(63, 91)(64, 92)(65, 95)(68, 98)(71, 101)(72, 102)(73, 104)(74, 96)(78, 106)(79, 109)(82, 113)(85, 115)(86, 116)(87, 117)(89, 120)(90, 111)(93, 118)(94, 125)(97, 128)(99, 131)(100, 126)(103, 134)(105, 136)(107, 137)(108, 138)(110, 140)(112, 129)(114, 141)(119, 146)(121, 148)(122, 132)(123, 143)(124, 152)(127, 154)(130, 156)(133, 157)(135, 159)(139, 164)(142, 166)(144, 167)(145, 165)(147, 169)(149, 173)(150, 171)(151, 176)(153, 177)(155, 178)(158, 182)(160, 184)(161, 185)(162, 183)(163, 175)(168, 188)(170, 179)(172, 180)(174, 186)(181, 189)(187, 191)(190, 192)(193, 194, 197, 203, 215, 233, 257, 286, 316, 343, 367, 381, 384, 383, 380, 366, 342, 315, 285, 256, 232, 214, 202, 196)(195, 199, 207, 216, 235, 260, 287, 318, 345, 368, 348, 371, 382, 377, 365, 378, 354, 330, 310, 279, 250, 228, 210, 200)(198, 205, 219, 234, 259, 289, 317, 301, 331, 355, 370, 358, 379, 364, 340, 363, 339, 312, 284, 255, 231, 213, 222, 206)(201, 211, 218, 204, 217, 236, 258, 288, 319, 344, 326, 350, 373, 359, 376, 360, 337, 308, 335, 306, 275, 254, 230, 212)(208, 224, 245, 261, 238, 264, 292, 262, 291, 322, 346, 329, 353, 374, 351, 375, 352, 328, 309, 278, 249, 227, 247, 225)(209, 226, 244, 223, 243, 271, 290, 321, 347, 369, 349, 372, 362, 338, 361, 341, 314, 283, 300, 270, 242, 268, 240, 220)(221, 241, 266, 239, 265, 295, 320, 307, 336, 356, 332, 357, 334, 305, 333, 313, 282, 253, 281, 252, 229, 251, 263, 237)(246, 274, 304, 273, 303, 325, 294, 280, 311, 323, 293, 324, 299, 269, 298, 327, 296, 267, 297, 277, 248, 276, 302, 272)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3034
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.3034 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2, T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1, T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1, (T1 * T2^-1 * T1 * T2)^6 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 65, 257, 40, 232)(25, 217, 42, 234, 69, 261, 43, 235)(28, 220, 47, 239, 75, 267, 48, 240)(30, 222, 50, 242, 79, 271, 51, 243)(31, 223, 52, 244, 80, 272, 53, 245)(33, 225, 55, 247, 84, 276, 56, 248)(36, 228, 60, 252, 90, 282, 61, 253)(38, 230, 63, 255, 94, 286, 64, 256)(41, 233, 66, 258, 96, 288, 67, 259)(44, 236, 70, 262, 100, 292, 71, 263)(46, 238, 73, 265, 104, 296, 74, 266)(49, 241, 77, 269, 107, 299, 78, 270)(54, 246, 81, 273, 110, 302, 82, 274)(57, 249, 85, 277, 114, 306, 86, 278)(59, 251, 88, 280, 118, 310, 89, 281)(62, 254, 92, 284, 121, 313, 93, 285)(68, 260, 97, 289, 126, 318, 98, 290)(72, 264, 101, 293, 131, 323, 102, 294)(76, 268, 106, 298, 132, 324, 103, 295)(83, 275, 111, 303, 141, 333, 112, 304)(87, 279, 115, 307, 146, 338, 116, 308)(91, 283, 120, 312, 147, 339, 117, 309)(95, 287, 123, 315, 153, 345, 124, 316)(99, 291, 128, 320, 157, 349, 129, 321)(105, 297, 134, 326, 158, 350, 130, 322)(108, 300, 137, 329, 161, 353, 133, 325)(109, 301, 138, 330, 164, 356, 139, 331)(113, 305, 143, 335, 168, 360, 144, 336)(119, 311, 149, 341, 169, 361, 145, 337)(122, 314, 152, 344, 172, 364, 148, 340)(125, 317, 154, 346, 173, 365, 150, 342)(127, 319, 156, 348, 174, 366, 151, 343)(135, 327, 140, 332, 165, 357, 162, 354)(136, 328, 142, 334, 167, 359, 163, 355)(155, 347, 176, 368, 187, 379, 175, 367)(159, 351, 179, 371, 188, 380, 177, 369)(160, 352, 180, 372, 189, 381, 178, 370)(166, 358, 182, 374, 190, 382, 181, 373)(170, 362, 185, 377, 191, 383, 183, 375)(171, 363, 186, 378, 192, 384, 184, 376)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 244)(40, 252)(41, 216)(42, 260)(43, 255)(44, 218)(45, 264)(46, 219)(47, 245)(48, 268)(49, 221)(50, 248)(51, 256)(52, 231)(53, 239)(54, 224)(55, 275)(56, 242)(57, 226)(58, 279)(59, 227)(60, 232)(61, 283)(62, 229)(63, 235)(64, 243)(65, 277)(66, 287)(67, 284)(68, 234)(69, 291)(70, 272)(71, 289)(72, 237)(73, 295)(74, 286)(75, 297)(76, 240)(77, 274)(78, 300)(79, 281)(80, 262)(81, 301)(82, 269)(83, 247)(84, 305)(85, 257)(86, 303)(87, 250)(88, 309)(89, 271)(90, 311)(91, 253)(92, 259)(93, 314)(94, 266)(95, 258)(96, 317)(97, 263)(98, 319)(99, 261)(100, 315)(101, 322)(102, 320)(103, 265)(104, 325)(105, 267)(106, 327)(107, 328)(108, 270)(109, 273)(110, 332)(111, 278)(112, 334)(113, 276)(114, 330)(115, 337)(116, 335)(117, 280)(118, 340)(119, 282)(120, 342)(121, 343)(122, 285)(123, 292)(124, 341)(125, 288)(126, 347)(127, 290)(128, 294)(129, 344)(130, 293)(131, 351)(132, 352)(133, 296)(134, 331)(135, 298)(136, 299)(137, 336)(138, 306)(139, 326)(140, 302)(141, 358)(142, 304)(143, 308)(144, 329)(145, 307)(146, 362)(147, 363)(148, 310)(149, 316)(150, 312)(151, 313)(152, 321)(153, 356)(154, 367)(155, 318)(156, 369)(157, 370)(158, 368)(159, 323)(160, 324)(161, 364)(162, 371)(163, 372)(164, 345)(165, 373)(166, 333)(167, 375)(168, 376)(169, 374)(170, 338)(171, 339)(172, 353)(173, 377)(174, 378)(175, 346)(176, 350)(177, 348)(178, 349)(179, 354)(180, 355)(181, 357)(182, 361)(183, 359)(184, 360)(185, 365)(186, 366)(187, 382)(188, 383)(189, 384)(190, 379)(191, 380)(192, 381)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3033
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.3035 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1 * T2^2, T2 * T1^-1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-1)^8, (T1^-1 * T2^2 * T1^-1)^6 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 51, 243, 86, 278, 126, 318, 139, 331, 175, 367, 191, 383, 182, 374, 167, 359, 186, 378, 152, 344, 185, 377, 192, 384, 180, 372, 144, 336, 116, 308, 78, 270, 43, 235, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 25, 217, 53, 245, 88, 280, 127, 319, 161, 353, 190, 382, 164, 356, 130, 322, 165, 357, 178, 370, 170, 362, 189, 381, 160, 352, 121, 313, 145, 337, 106, 298, 68, 260, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 52, 244, 64, 256, 100, 292, 138, 330, 110, 302, 149, 341, 181, 373, 163, 355, 177, 369, 169, 361, 133, 325, 168, 360, 188, 380, 154, 346, 115, 307, 97, 289, 61, 253, 31, 223, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 63, 255, 39, 231, 72, 264, 109, 301, 89, 281, 128, 320, 162, 354, 183, 375, 151, 343, 184, 376, 158, 350, 187, 379, 171, 363, 135, 327, 96, 288, 122, 314, 83, 275, 47, 239, 69, 261, 36, 228, 16, 208)(11, 203, 26, 218, 54, 246, 87, 279, 118, 310, 157, 349, 131, 323, 93, 285, 132, 324, 166, 358, 173, 365, 153, 345, 114, 306, 76, 268, 113, 305, 148, 340, 108, 300, 75, 267, 60, 252, 30, 222, 13, 205, 29, 221, 50, 242, 23, 215)(18, 210, 40, 232, 73, 265, 49, 241, 84, 276, 123, 315, 90, 282, 55, 247, 91, 283, 129, 321, 155, 347, 179, 371, 143, 335, 104, 296, 142, 334, 174, 366, 137, 329, 103, 295, 77, 269, 42, 234, 19, 211, 41, 233, 71, 263, 37, 229)(21, 213, 45, 237, 79, 271, 56, 248, 28, 220, 57, 249, 92, 284, 98, 290, 136, 328, 172, 364, 140, 332, 102, 294, 141, 333, 176, 368, 147, 339, 134, 326, 95, 287, 59, 251, 94, 286, 125, 317, 85, 277, 58, 250, 82, 274, 46, 238)(34, 226, 65, 257, 101, 293, 70, 262, 107, 299, 146, 338, 111, 303, 74, 266, 112, 304, 150, 342, 124, 316, 159, 351, 120, 312, 81, 273, 119, 311, 156, 348, 117, 309, 80, 272, 105, 297, 67, 259, 35, 227, 66, 258, 99, 291, 62, 254)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 230)(25, 202)(26, 238)(27, 248)(28, 204)(29, 206)(30, 251)(31, 250)(32, 236)(33, 254)(34, 207)(35, 220)(36, 260)(37, 262)(38, 255)(39, 209)(40, 222)(41, 212)(42, 268)(43, 267)(44, 261)(45, 214)(46, 273)(47, 272)(48, 224)(49, 217)(50, 277)(51, 219)(52, 216)(53, 265)(54, 282)(55, 218)(56, 279)(57, 259)(58, 221)(59, 266)(60, 270)(61, 288)(62, 290)(63, 244)(64, 225)(65, 234)(66, 228)(67, 296)(68, 295)(69, 240)(70, 231)(71, 300)(72, 293)(73, 303)(74, 232)(75, 233)(76, 294)(77, 298)(78, 307)(79, 309)(80, 237)(81, 247)(82, 253)(83, 313)(84, 242)(85, 316)(86, 246)(87, 243)(88, 301)(89, 245)(90, 319)(91, 312)(92, 323)(93, 249)(94, 252)(95, 325)(96, 311)(97, 308)(98, 256)(99, 329)(100, 284)(101, 332)(102, 257)(103, 258)(104, 285)(105, 275)(106, 336)(107, 263)(108, 339)(109, 330)(110, 264)(111, 281)(112, 287)(113, 269)(114, 344)(115, 286)(116, 337)(117, 347)(118, 271)(119, 274)(120, 350)(121, 334)(122, 289)(123, 342)(124, 276)(125, 346)(126, 280)(127, 278)(128, 338)(129, 356)(130, 283)(131, 331)(132, 335)(133, 343)(134, 340)(135, 362)(136, 291)(137, 365)(138, 318)(139, 292)(140, 302)(141, 306)(142, 297)(143, 370)(144, 305)(145, 314)(146, 368)(147, 299)(148, 372)(149, 364)(150, 375)(151, 304)(152, 369)(153, 366)(154, 379)(155, 310)(156, 327)(157, 321)(158, 322)(159, 317)(160, 377)(161, 315)(162, 373)(163, 320)(164, 367)(165, 376)(166, 374)(167, 324)(168, 326)(169, 378)(170, 371)(171, 380)(172, 358)(173, 328)(174, 352)(175, 349)(176, 355)(177, 333)(178, 359)(179, 348)(180, 360)(181, 383)(182, 341)(183, 353)(184, 361)(185, 345)(186, 357)(187, 351)(188, 384)(189, 363)(190, 354)(191, 382)(192, 381)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3031
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.3036 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-1 * T2 * T1^3 * T2 * T1^-2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 31, 223)(18, 210, 35, 227)(19, 211, 37, 229)(20, 212, 32, 224)(22, 214, 36, 228)(23, 215, 42, 234)(25, 217, 45, 237)(26, 218, 46, 238)(27, 219, 47, 239)(30, 222, 50, 242)(33, 225, 54, 246)(34, 226, 56, 248)(38, 230, 61, 253)(39, 231, 59, 251)(40, 232, 62, 254)(41, 233, 66, 258)(43, 235, 69, 261)(44, 236, 70, 262)(48, 240, 75, 267)(49, 241, 77, 269)(51, 243, 80, 272)(52, 244, 67, 259)(53, 245, 81, 273)(55, 247, 83, 275)(57, 249, 84, 276)(58, 250, 76, 268)(60, 252, 88, 280)(63, 255, 91, 283)(64, 256, 92, 284)(65, 257, 95, 287)(68, 260, 98, 290)(71, 263, 101, 293)(72, 264, 102, 294)(73, 265, 104, 296)(74, 266, 96, 288)(78, 270, 106, 298)(79, 271, 109, 301)(82, 274, 113, 305)(85, 277, 115, 307)(86, 278, 116, 308)(87, 279, 117, 309)(89, 281, 120, 312)(90, 282, 111, 303)(93, 285, 118, 310)(94, 286, 125, 317)(97, 289, 128, 320)(99, 291, 131, 323)(100, 292, 126, 318)(103, 295, 134, 326)(105, 297, 136, 328)(107, 299, 137, 329)(108, 300, 138, 330)(110, 302, 140, 332)(112, 304, 129, 321)(114, 306, 141, 333)(119, 311, 146, 338)(121, 313, 148, 340)(122, 314, 132, 324)(123, 315, 143, 335)(124, 316, 152, 344)(127, 319, 154, 346)(130, 322, 156, 348)(133, 325, 157, 349)(135, 327, 159, 351)(139, 331, 164, 356)(142, 334, 166, 358)(144, 336, 167, 359)(145, 337, 165, 357)(147, 339, 169, 361)(149, 341, 173, 365)(150, 342, 171, 363)(151, 343, 176, 368)(153, 345, 177, 369)(155, 347, 178, 370)(158, 350, 182, 374)(160, 352, 184, 376)(161, 353, 185, 377)(162, 354, 183, 375)(163, 355, 175, 367)(168, 360, 188, 380)(170, 362, 179, 371)(172, 364, 180, 372)(174, 366, 186, 378)(181, 373, 189, 381)(187, 379, 191, 383)(190, 382, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 216)(16, 224)(17, 226)(18, 200)(19, 218)(20, 201)(21, 222)(22, 202)(23, 233)(24, 235)(25, 236)(26, 204)(27, 234)(28, 209)(29, 241)(30, 206)(31, 243)(32, 245)(33, 208)(34, 244)(35, 247)(36, 210)(37, 251)(38, 212)(39, 213)(40, 214)(41, 257)(42, 259)(43, 260)(44, 258)(45, 221)(46, 264)(47, 265)(48, 220)(49, 266)(50, 268)(51, 271)(52, 223)(53, 261)(54, 274)(55, 225)(56, 276)(57, 227)(58, 228)(59, 263)(60, 229)(61, 281)(62, 230)(63, 231)(64, 232)(65, 286)(66, 288)(67, 289)(68, 287)(69, 238)(70, 291)(71, 237)(72, 292)(73, 295)(74, 239)(75, 297)(76, 240)(77, 298)(78, 242)(79, 290)(80, 246)(81, 303)(82, 304)(83, 254)(84, 302)(85, 248)(86, 249)(87, 250)(88, 311)(89, 252)(90, 253)(91, 300)(92, 255)(93, 256)(94, 316)(95, 318)(96, 319)(97, 317)(98, 321)(99, 322)(100, 262)(101, 324)(102, 280)(103, 320)(104, 267)(105, 277)(106, 327)(107, 269)(108, 270)(109, 331)(110, 272)(111, 325)(112, 273)(113, 333)(114, 275)(115, 336)(116, 335)(117, 278)(118, 279)(119, 323)(120, 284)(121, 282)(122, 283)(123, 285)(124, 343)(125, 301)(126, 345)(127, 344)(128, 307)(129, 347)(130, 346)(131, 293)(132, 299)(133, 294)(134, 350)(135, 296)(136, 309)(137, 353)(138, 310)(139, 355)(140, 357)(141, 313)(142, 305)(143, 306)(144, 356)(145, 308)(146, 361)(147, 312)(148, 363)(149, 314)(150, 315)(151, 367)(152, 326)(153, 368)(154, 329)(155, 369)(156, 371)(157, 372)(158, 373)(159, 375)(160, 328)(161, 374)(162, 330)(163, 370)(164, 332)(165, 334)(166, 379)(167, 376)(168, 337)(169, 341)(170, 338)(171, 339)(172, 340)(173, 378)(174, 342)(175, 381)(176, 348)(177, 349)(178, 358)(179, 382)(180, 362)(181, 359)(182, 351)(183, 352)(184, 360)(185, 365)(186, 354)(187, 364)(188, 366)(189, 384)(190, 377)(191, 380)(192, 383)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3032
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.3037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^6, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 52, 244)(40, 232, 60, 252)(42, 234, 68, 260)(43, 235, 63, 255)(45, 237, 72, 264)(47, 239, 53, 245)(48, 240, 76, 268)(50, 242, 56, 248)(51, 243, 64, 256)(55, 247, 83, 275)(58, 250, 87, 279)(61, 253, 91, 283)(65, 257, 85, 277)(66, 258, 95, 287)(67, 259, 92, 284)(69, 261, 99, 291)(70, 262, 80, 272)(71, 263, 97, 289)(73, 265, 103, 295)(74, 266, 94, 286)(75, 267, 105, 297)(77, 269, 82, 274)(78, 270, 108, 300)(79, 271, 89, 281)(81, 273, 109, 301)(84, 276, 113, 305)(86, 278, 111, 303)(88, 280, 117, 309)(90, 282, 119, 311)(93, 285, 122, 314)(96, 288, 125, 317)(98, 290, 127, 319)(100, 292, 123, 315)(101, 293, 130, 322)(102, 294, 128, 320)(104, 296, 133, 325)(106, 298, 135, 327)(107, 299, 136, 328)(110, 302, 140, 332)(112, 304, 142, 334)(114, 306, 138, 330)(115, 307, 145, 337)(116, 308, 143, 335)(118, 310, 148, 340)(120, 312, 150, 342)(121, 313, 151, 343)(124, 316, 149, 341)(126, 318, 155, 347)(129, 321, 152, 344)(131, 323, 159, 351)(132, 324, 160, 352)(134, 326, 139, 331)(137, 329, 144, 336)(141, 333, 166, 358)(146, 338, 170, 362)(147, 339, 171, 363)(153, 345, 164, 356)(154, 346, 175, 367)(156, 348, 177, 369)(157, 349, 178, 370)(158, 350, 176, 368)(161, 353, 172, 364)(162, 354, 179, 371)(163, 355, 180, 372)(165, 357, 181, 373)(167, 359, 183, 375)(168, 360, 184, 376)(169, 361, 182, 374)(173, 365, 185, 377)(174, 366, 186, 378)(187, 379, 190, 382)(188, 380, 191, 383)(189, 381, 192, 384)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 449, 641, 424, 616)(409, 601, 426, 618, 453, 645, 427, 619)(412, 604, 431, 623, 459, 651, 432, 624)(414, 606, 434, 626, 463, 655, 435, 627)(415, 607, 436, 628, 464, 656, 437, 629)(417, 609, 439, 631, 468, 660, 440, 632)(420, 612, 444, 636, 474, 666, 445, 637)(422, 614, 447, 639, 478, 670, 448, 640)(425, 617, 450, 642, 480, 672, 451, 643)(428, 620, 454, 646, 484, 676, 455, 647)(430, 622, 457, 649, 488, 680, 458, 650)(433, 625, 461, 653, 491, 683, 462, 654)(438, 630, 465, 657, 494, 686, 466, 658)(441, 633, 469, 661, 498, 690, 470, 662)(443, 635, 472, 664, 502, 694, 473, 665)(446, 638, 476, 668, 505, 697, 477, 669)(452, 644, 481, 673, 510, 702, 482, 674)(456, 648, 485, 677, 515, 707, 486, 678)(460, 652, 490, 682, 516, 708, 487, 679)(467, 659, 495, 687, 525, 717, 496, 688)(471, 663, 499, 691, 530, 722, 500, 692)(475, 667, 504, 696, 531, 723, 501, 693)(479, 671, 507, 699, 537, 729, 508, 700)(483, 675, 512, 704, 541, 733, 513, 705)(489, 681, 518, 710, 542, 734, 514, 706)(492, 684, 521, 713, 545, 737, 517, 709)(493, 685, 522, 714, 548, 740, 523, 715)(497, 689, 527, 719, 552, 744, 528, 720)(503, 695, 533, 725, 553, 745, 529, 721)(506, 698, 536, 728, 556, 748, 532, 724)(509, 701, 538, 730, 557, 749, 534, 726)(511, 703, 540, 732, 558, 750, 535, 727)(519, 711, 524, 716, 549, 741, 546, 738)(520, 712, 526, 718, 551, 743, 547, 739)(539, 731, 560, 752, 571, 763, 559, 751)(543, 735, 563, 755, 572, 764, 561, 753)(544, 736, 564, 756, 573, 765, 562, 754)(550, 742, 566, 758, 574, 766, 565, 757)(554, 746, 569, 761, 575, 767, 567, 759)(555, 747, 570, 762, 576, 768, 568, 760)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 436)(40, 444)(41, 408)(42, 452)(43, 447)(44, 410)(45, 456)(46, 411)(47, 437)(48, 460)(49, 413)(50, 440)(51, 448)(52, 423)(53, 431)(54, 416)(55, 467)(56, 434)(57, 418)(58, 471)(59, 419)(60, 424)(61, 475)(62, 421)(63, 427)(64, 435)(65, 469)(66, 479)(67, 476)(68, 426)(69, 483)(70, 464)(71, 481)(72, 429)(73, 487)(74, 478)(75, 489)(76, 432)(77, 466)(78, 492)(79, 473)(80, 454)(81, 493)(82, 461)(83, 439)(84, 497)(85, 449)(86, 495)(87, 442)(88, 501)(89, 463)(90, 503)(91, 445)(92, 451)(93, 506)(94, 458)(95, 450)(96, 509)(97, 455)(98, 511)(99, 453)(100, 507)(101, 514)(102, 512)(103, 457)(104, 517)(105, 459)(106, 519)(107, 520)(108, 462)(109, 465)(110, 524)(111, 470)(112, 526)(113, 468)(114, 522)(115, 529)(116, 527)(117, 472)(118, 532)(119, 474)(120, 534)(121, 535)(122, 477)(123, 484)(124, 533)(125, 480)(126, 539)(127, 482)(128, 486)(129, 536)(130, 485)(131, 543)(132, 544)(133, 488)(134, 523)(135, 490)(136, 491)(137, 528)(138, 498)(139, 518)(140, 494)(141, 550)(142, 496)(143, 500)(144, 521)(145, 499)(146, 554)(147, 555)(148, 502)(149, 508)(150, 504)(151, 505)(152, 513)(153, 548)(154, 559)(155, 510)(156, 561)(157, 562)(158, 560)(159, 515)(160, 516)(161, 556)(162, 563)(163, 564)(164, 537)(165, 565)(166, 525)(167, 567)(168, 568)(169, 566)(170, 530)(171, 531)(172, 545)(173, 569)(174, 570)(175, 538)(176, 542)(177, 540)(178, 541)(179, 546)(180, 547)(181, 549)(182, 553)(183, 551)(184, 552)(185, 557)(186, 558)(187, 574)(188, 575)(189, 576)(190, 571)(191, 572)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3040
Graph:: bipartite
	v = 144 e = 384 f = 200
	degree seq :: [ 4^96, 8^48 ]

E21.3038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2^-3 * Y1^-1 * Y2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^8, Y2^24 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 58, 250, 29, 221)(17, 209, 37, 229, 70, 262, 39, 231)(20, 212, 43, 235, 75, 267, 41, 233)(22, 214, 47, 239, 80, 272, 45, 237)(24, 216, 38, 230, 63, 255, 52, 244)(26, 218, 46, 238, 81, 273, 55, 247)(27, 219, 56, 248, 87, 279, 51, 243)(30, 222, 59, 251, 74, 266, 40, 232)(32, 224, 44, 236, 69, 261, 48, 240)(33, 225, 62, 254, 98, 290, 64, 256)(36, 228, 68, 260, 103, 295, 66, 258)(42, 234, 76, 268, 102, 294, 65, 257)(50, 242, 85, 277, 124, 316, 84, 276)(53, 245, 73, 265, 111, 303, 89, 281)(54, 246, 90, 282, 127, 319, 86, 278)(57, 249, 67, 259, 104, 296, 93, 285)(60, 252, 78, 270, 115, 307, 94, 286)(61, 253, 96, 288, 119, 311, 82, 274)(71, 263, 108, 300, 147, 339, 107, 299)(72, 264, 101, 293, 140, 332, 110, 302)(77, 269, 106, 298, 144, 336, 113, 305)(79, 271, 117, 309, 155, 347, 118, 310)(83, 275, 121, 313, 142, 334, 105, 297)(88, 280, 109, 301, 138, 330, 126, 318)(91, 283, 120, 312, 158, 350, 130, 322)(92, 284, 131, 323, 139, 331, 100, 292)(95, 287, 133, 325, 151, 343, 112, 304)(97, 289, 116, 308, 145, 337, 122, 314)(99, 291, 137, 329, 173, 365, 136, 328)(114, 306, 152, 344, 177, 369, 141, 333)(123, 315, 150, 342, 183, 375, 161, 353)(125, 317, 154, 346, 187, 379, 159, 351)(128, 320, 146, 338, 176, 368, 163, 355)(129, 321, 164, 356, 175, 367, 157, 349)(132, 324, 143, 335, 178, 370, 167, 359)(134, 326, 148, 340, 180, 372, 168, 360)(135, 327, 170, 362, 179, 371, 156, 348)(149, 341, 172, 364, 166, 358, 182, 374)(153, 345, 174, 366, 160, 352, 185, 377)(162, 354, 181, 373, 191, 383, 190, 382)(165, 357, 184, 376, 169, 361, 186, 378)(171, 363, 188, 380, 192, 384, 189, 381)(385, 577, 387, 579, 394, 586, 408, 600, 435, 627, 470, 662, 510, 702, 523, 715, 559, 751, 575, 767, 566, 758, 551, 743, 570, 762, 536, 728, 569, 761, 576, 768, 564, 756, 528, 720, 500, 692, 462, 654, 427, 619, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 409, 601, 437, 629, 472, 664, 511, 703, 545, 737, 574, 766, 548, 740, 514, 706, 549, 741, 562, 754, 554, 746, 573, 765, 544, 736, 505, 697, 529, 721, 490, 682, 452, 644, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 436, 628, 448, 640, 484, 676, 522, 714, 494, 686, 533, 725, 565, 757, 547, 739, 561, 753, 553, 745, 517, 709, 552, 744, 572, 764, 538, 730, 499, 691, 481, 673, 445, 637, 415, 607, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 447, 639, 423, 615, 456, 648, 493, 685, 473, 665, 512, 704, 546, 738, 567, 759, 535, 727, 568, 760, 542, 734, 571, 763, 555, 747, 519, 711, 480, 672, 506, 698, 467, 659, 431, 623, 453, 645, 420, 612, 400, 592)(395, 587, 410, 602, 438, 630, 471, 663, 502, 694, 541, 733, 515, 707, 477, 669, 516, 708, 550, 742, 557, 749, 537, 729, 498, 690, 460, 652, 497, 689, 532, 724, 492, 684, 459, 651, 444, 636, 414, 606, 397, 589, 413, 605, 434, 626, 407, 599)(402, 594, 424, 616, 457, 649, 433, 625, 468, 660, 507, 699, 474, 666, 439, 631, 475, 667, 513, 705, 539, 731, 563, 755, 527, 719, 488, 680, 526, 718, 558, 750, 521, 713, 487, 679, 461, 653, 426, 618, 403, 595, 425, 617, 455, 647, 421, 613)(405, 597, 429, 621, 463, 655, 440, 632, 412, 604, 441, 633, 476, 668, 482, 674, 520, 712, 556, 748, 524, 716, 486, 678, 525, 717, 560, 752, 531, 723, 518, 710, 479, 671, 443, 635, 478, 670, 509, 701, 469, 661, 442, 634, 466, 658, 430, 622)(418, 610, 449, 641, 485, 677, 454, 646, 491, 683, 530, 722, 495, 687, 458, 650, 496, 688, 534, 726, 508, 700, 543, 735, 504, 696, 465, 657, 503, 695, 540, 732, 501, 693, 464, 656, 489, 681, 451, 643, 419, 611, 450, 642, 483, 675, 446, 638)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 435)(25, 437)(26, 438)(27, 436)(28, 441)(29, 434)(30, 397)(31, 432)(32, 398)(33, 447)(34, 449)(35, 450)(36, 400)(37, 402)(38, 409)(39, 456)(40, 457)(41, 455)(42, 403)(43, 416)(44, 404)(45, 463)(46, 405)(47, 453)(48, 406)(49, 468)(50, 407)(51, 470)(52, 448)(53, 472)(54, 471)(55, 475)(56, 412)(57, 476)(58, 466)(59, 478)(60, 414)(61, 415)(62, 418)(63, 423)(64, 484)(65, 485)(66, 483)(67, 419)(68, 428)(69, 420)(70, 491)(71, 421)(72, 493)(73, 433)(74, 496)(75, 444)(76, 497)(77, 426)(78, 427)(79, 440)(80, 489)(81, 503)(82, 430)(83, 431)(84, 507)(85, 442)(86, 510)(87, 502)(88, 511)(89, 512)(90, 439)(91, 513)(92, 482)(93, 516)(94, 509)(95, 443)(96, 506)(97, 445)(98, 520)(99, 446)(100, 522)(101, 454)(102, 525)(103, 461)(104, 526)(105, 451)(106, 452)(107, 530)(108, 459)(109, 473)(110, 533)(111, 458)(112, 534)(113, 532)(114, 460)(115, 481)(116, 462)(117, 464)(118, 541)(119, 540)(120, 465)(121, 529)(122, 467)(123, 474)(124, 543)(125, 469)(126, 523)(127, 545)(128, 546)(129, 539)(130, 549)(131, 477)(132, 550)(133, 552)(134, 479)(135, 480)(136, 556)(137, 487)(138, 494)(139, 559)(140, 486)(141, 560)(142, 558)(143, 488)(144, 500)(145, 490)(146, 495)(147, 518)(148, 492)(149, 565)(150, 508)(151, 568)(152, 569)(153, 498)(154, 499)(155, 563)(156, 501)(157, 515)(158, 571)(159, 504)(160, 505)(161, 574)(162, 567)(163, 561)(164, 514)(165, 562)(166, 557)(167, 570)(168, 572)(169, 517)(170, 573)(171, 519)(172, 524)(173, 537)(174, 521)(175, 575)(176, 531)(177, 553)(178, 554)(179, 527)(180, 528)(181, 547)(182, 551)(183, 535)(184, 542)(185, 576)(186, 536)(187, 555)(188, 538)(189, 544)(190, 548)(191, 566)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3039
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 8^48, 48^8 ]

E21.3039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^3 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 410, 602)(403, 595, 421, 613)(404, 596, 407, 599)(406, 598, 414, 606)(408, 600, 426, 618)(411, 603, 431, 623)(415, 607, 435, 627)(417, 609, 439, 631)(418, 610, 438, 630)(419, 611, 441, 633)(420, 612, 436, 628)(422, 614, 445, 637)(423, 615, 443, 635)(424, 616, 446, 638)(425, 617, 449, 641)(427, 619, 453, 645)(428, 620, 452, 644)(429, 621, 455, 647)(430, 622, 450, 642)(432, 624, 459, 651)(433, 625, 457, 649)(434, 626, 460, 652)(437, 629, 465, 657)(440, 632, 468, 660)(442, 634, 469, 661)(444, 636, 472, 664)(447, 639, 475, 667)(448, 640, 476, 668)(451, 643, 480, 672)(454, 646, 483, 675)(456, 648, 484, 676)(458, 650, 487, 679)(461, 653, 490, 682)(462, 654, 491, 683)(463, 655, 489, 681)(464, 656, 494, 686)(466, 658, 497, 689)(467, 659, 495, 687)(470, 662, 501, 693)(471, 663, 486, 678)(473, 665, 504, 696)(474, 666, 478, 670)(477, 669, 492, 684)(479, 671, 509, 701)(481, 673, 512, 704)(482, 674, 510, 702)(485, 677, 516, 708)(488, 680, 519, 711)(493, 685, 523, 715)(496, 688, 525, 717)(498, 690, 522, 714)(499, 691, 527, 719)(500, 692, 517, 709)(502, 694, 515, 707)(503, 695, 530, 722)(505, 697, 532, 724)(506, 698, 526, 718)(507, 699, 513, 705)(508, 700, 535, 727)(511, 703, 537, 729)(514, 706, 539, 731)(518, 710, 542, 734)(520, 712, 544, 736)(521, 713, 538, 730)(524, 716, 549, 741)(528, 720, 551, 743)(529, 721, 548, 740)(531, 723, 553, 745)(533, 725, 557, 749)(534, 726, 555, 747)(536, 728, 561, 753)(540, 732, 563, 755)(541, 733, 560, 752)(543, 735, 565, 757)(545, 737, 569, 761)(546, 738, 567, 759)(547, 739, 568, 760)(550, 742, 571, 763)(552, 744, 564, 756)(554, 746, 572, 764)(556, 748, 559, 751)(558, 750, 570, 762)(562, 754, 573, 765)(566, 758, 574, 766)(575, 767, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 420)(19, 419)(20, 393)(21, 417)(22, 394)(23, 425)(24, 395)(25, 428)(26, 430)(27, 429)(28, 397)(29, 427)(30, 398)(31, 436)(32, 437)(33, 400)(34, 440)(35, 401)(36, 442)(37, 443)(38, 404)(39, 405)(40, 406)(41, 450)(42, 451)(43, 408)(44, 454)(45, 409)(46, 456)(47, 457)(48, 412)(49, 413)(50, 414)(51, 463)(52, 455)(53, 464)(54, 416)(55, 460)(56, 469)(57, 470)(58, 471)(59, 466)(60, 421)(61, 473)(62, 422)(63, 423)(64, 424)(65, 478)(66, 441)(67, 479)(68, 426)(69, 446)(70, 484)(71, 485)(72, 486)(73, 481)(74, 431)(75, 488)(76, 432)(77, 433)(78, 434)(79, 493)(80, 435)(81, 495)(82, 438)(83, 439)(84, 499)(85, 494)(86, 500)(87, 502)(88, 503)(89, 444)(90, 445)(91, 498)(92, 447)(93, 448)(94, 508)(95, 449)(96, 510)(97, 452)(98, 453)(99, 514)(100, 509)(101, 515)(102, 517)(103, 518)(104, 458)(105, 459)(106, 513)(107, 461)(108, 462)(109, 516)(110, 524)(111, 520)(112, 465)(113, 526)(114, 467)(115, 528)(116, 468)(117, 472)(118, 529)(119, 527)(120, 476)(121, 474)(122, 475)(123, 477)(124, 501)(125, 536)(126, 505)(127, 480)(128, 538)(129, 482)(130, 540)(131, 483)(132, 487)(133, 541)(134, 539)(135, 491)(136, 489)(137, 490)(138, 492)(139, 547)(140, 548)(141, 550)(142, 496)(143, 497)(144, 549)(145, 552)(146, 553)(147, 504)(148, 555)(149, 506)(150, 507)(151, 559)(152, 560)(153, 562)(154, 511)(155, 512)(156, 561)(157, 564)(158, 565)(159, 519)(160, 567)(161, 521)(162, 522)(163, 566)(164, 523)(165, 525)(166, 568)(167, 572)(168, 563)(169, 533)(170, 530)(171, 531)(172, 532)(173, 570)(174, 534)(175, 554)(176, 535)(177, 537)(178, 556)(179, 574)(180, 551)(181, 545)(182, 542)(183, 543)(184, 544)(185, 558)(186, 546)(187, 557)(188, 575)(189, 569)(190, 576)(191, 571)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3038
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.3040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^-1 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^4, Y1^-1 * Y3 * Y1^3 * Y3^-1 * Y1^-2, Y1^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 41, 233, 65, 257, 94, 286, 124, 316, 151, 343, 175, 367, 189, 381, 192, 384, 191, 383, 188, 380, 174, 366, 150, 342, 123, 315, 93, 285, 64, 256, 40, 232, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 24, 216, 43, 235, 68, 260, 95, 287, 126, 318, 153, 345, 176, 368, 156, 348, 179, 371, 190, 382, 185, 377, 173, 365, 186, 378, 162, 354, 138, 330, 118, 310, 87, 279, 58, 250, 36, 228, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 42, 234, 67, 259, 97, 289, 125, 317, 109, 301, 139, 331, 163, 355, 178, 370, 166, 358, 187, 379, 172, 364, 148, 340, 171, 363, 147, 339, 120, 312, 92, 284, 63, 255, 39, 231, 21, 213, 30, 222, 14, 206)(9, 201, 19, 211, 26, 218, 12, 204, 25, 217, 44, 236, 66, 258, 96, 288, 127, 319, 152, 344, 134, 326, 158, 350, 181, 373, 167, 359, 184, 376, 168, 360, 145, 337, 116, 308, 143, 335, 114, 306, 83, 275, 62, 254, 38, 230, 20, 212)(16, 208, 32, 224, 53, 245, 69, 261, 46, 238, 72, 264, 100, 292, 70, 262, 99, 291, 130, 322, 154, 346, 137, 329, 161, 353, 182, 374, 159, 351, 183, 375, 160, 352, 136, 328, 117, 309, 86, 278, 57, 249, 35, 227, 55, 247, 33, 225)(17, 209, 34, 226, 52, 244, 31, 223, 51, 243, 79, 271, 98, 290, 129, 321, 155, 347, 177, 369, 157, 349, 180, 372, 170, 362, 146, 338, 169, 361, 149, 341, 122, 314, 91, 283, 108, 300, 78, 270, 50, 242, 76, 268, 48, 240, 28, 220)(29, 221, 49, 241, 74, 266, 47, 239, 73, 265, 103, 295, 128, 320, 115, 307, 144, 336, 164, 356, 140, 332, 165, 357, 142, 334, 113, 305, 141, 333, 121, 313, 90, 282, 61, 253, 89, 281, 60, 252, 37, 229, 59, 251, 71, 263, 45, 237)(54, 246, 82, 274, 112, 304, 81, 273, 111, 303, 133, 325, 102, 294, 88, 280, 119, 311, 131, 323, 101, 293, 132, 324, 107, 299, 77, 269, 106, 298, 135, 327, 104, 296, 75, 267, 105, 297, 85, 277, 56, 248, 84, 276, 110, 302, 80, 272)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 415)(16, 391)(17, 392)(18, 419)(19, 421)(20, 416)(21, 394)(22, 420)(23, 426)(24, 395)(25, 429)(26, 430)(27, 431)(28, 397)(29, 398)(30, 434)(31, 399)(32, 404)(33, 438)(34, 440)(35, 402)(36, 406)(37, 403)(38, 445)(39, 443)(40, 446)(41, 450)(42, 407)(43, 453)(44, 454)(45, 409)(46, 410)(47, 411)(48, 459)(49, 461)(50, 414)(51, 464)(52, 451)(53, 465)(54, 417)(55, 467)(56, 418)(57, 468)(58, 460)(59, 423)(60, 472)(61, 422)(62, 424)(63, 475)(64, 476)(65, 479)(66, 425)(67, 436)(68, 482)(69, 427)(70, 428)(71, 485)(72, 486)(73, 488)(74, 480)(75, 432)(76, 442)(77, 433)(78, 490)(79, 493)(80, 435)(81, 437)(82, 497)(83, 439)(84, 441)(85, 499)(86, 500)(87, 501)(88, 444)(89, 504)(90, 495)(91, 447)(92, 448)(93, 502)(94, 509)(95, 449)(96, 458)(97, 512)(98, 452)(99, 515)(100, 510)(101, 455)(102, 456)(103, 518)(104, 457)(105, 520)(106, 462)(107, 521)(108, 522)(109, 463)(110, 524)(111, 474)(112, 513)(113, 466)(114, 525)(115, 469)(116, 470)(117, 471)(118, 477)(119, 530)(120, 473)(121, 532)(122, 516)(123, 527)(124, 536)(125, 478)(126, 484)(127, 538)(128, 481)(129, 496)(130, 540)(131, 483)(132, 506)(133, 541)(134, 487)(135, 543)(136, 489)(137, 491)(138, 492)(139, 548)(140, 494)(141, 498)(142, 550)(143, 507)(144, 551)(145, 549)(146, 503)(147, 553)(148, 505)(149, 557)(150, 555)(151, 560)(152, 508)(153, 561)(154, 511)(155, 562)(156, 514)(157, 517)(158, 566)(159, 519)(160, 568)(161, 569)(162, 567)(163, 559)(164, 523)(165, 529)(166, 526)(167, 528)(168, 572)(169, 531)(170, 563)(171, 534)(172, 564)(173, 533)(174, 570)(175, 547)(176, 535)(177, 537)(178, 539)(179, 554)(180, 556)(181, 573)(182, 542)(183, 546)(184, 544)(185, 545)(186, 558)(187, 575)(188, 552)(189, 565)(190, 576)(191, 571)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3037
Graph:: simple bipartite
	v = 200 e = 384 f = 144
	degree seq :: [ 2^192, 48^8 ]

E21.3041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, (Y3 * Y2^-1)^4, (Y2 * Y1)^4, Y2^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 26, 218)(19, 211, 37, 229)(20, 212, 23, 215)(22, 214, 30, 222)(24, 216, 42, 234)(27, 219, 47, 239)(31, 223, 51, 243)(33, 225, 55, 247)(34, 226, 54, 246)(35, 227, 57, 249)(36, 228, 52, 244)(38, 230, 61, 253)(39, 231, 59, 251)(40, 232, 62, 254)(41, 233, 65, 257)(43, 235, 69, 261)(44, 236, 68, 260)(45, 237, 71, 263)(46, 238, 66, 258)(48, 240, 75, 267)(49, 241, 73, 265)(50, 242, 76, 268)(53, 245, 81, 273)(56, 248, 84, 276)(58, 250, 85, 277)(60, 252, 88, 280)(63, 255, 91, 283)(64, 256, 92, 284)(67, 259, 96, 288)(70, 262, 99, 291)(72, 264, 100, 292)(74, 266, 103, 295)(77, 269, 106, 298)(78, 270, 107, 299)(79, 271, 105, 297)(80, 272, 110, 302)(82, 274, 113, 305)(83, 275, 111, 303)(86, 278, 117, 309)(87, 279, 102, 294)(89, 281, 120, 312)(90, 282, 94, 286)(93, 285, 108, 300)(95, 287, 125, 317)(97, 289, 128, 320)(98, 290, 126, 318)(101, 293, 132, 324)(104, 296, 135, 327)(109, 301, 139, 331)(112, 304, 141, 333)(114, 306, 138, 330)(115, 307, 143, 335)(116, 308, 133, 325)(118, 310, 131, 323)(119, 311, 146, 338)(121, 313, 148, 340)(122, 314, 142, 334)(123, 315, 129, 321)(124, 316, 151, 343)(127, 319, 153, 345)(130, 322, 155, 347)(134, 326, 158, 350)(136, 328, 160, 352)(137, 329, 154, 346)(140, 332, 165, 357)(144, 336, 167, 359)(145, 337, 164, 356)(147, 339, 169, 361)(149, 341, 173, 365)(150, 342, 171, 363)(152, 344, 177, 369)(156, 348, 179, 371)(157, 349, 176, 368)(159, 351, 181, 373)(161, 353, 185, 377)(162, 354, 183, 375)(163, 355, 184, 376)(166, 358, 187, 379)(168, 360, 180, 372)(170, 362, 188, 380)(172, 364, 175, 367)(174, 366, 186, 378)(178, 370, 189, 381)(182, 374, 190, 382)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 420, 612, 442, 634, 471, 663, 502, 694, 529, 721, 552, 744, 563, 755, 574, 766, 576, 768, 573, 765, 569, 761, 558, 750, 534, 726, 507, 699, 477, 669, 448, 640, 424, 616, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 430, 622, 456, 648, 486, 678, 517, 709, 541, 733, 564, 756, 551, 743, 572, 764, 575, 767, 571, 763, 557, 749, 570, 762, 546, 738, 522, 714, 492, 684, 462, 654, 434, 626, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 436, 628, 455, 647, 485, 677, 515, 707, 483, 675, 514, 706, 540, 732, 561, 753, 537, 729, 562, 754, 556, 748, 532, 724, 555, 747, 531, 723, 504, 696, 476, 668, 447, 639, 423, 615, 405, 597, 417, 609, 400, 592)(393, 585, 403, 595, 419, 611, 401, 593, 418, 610, 440, 632, 469, 661, 494, 686, 524, 716, 548, 740, 523, 715, 547, 739, 566, 758, 542, 734, 565, 757, 545, 737, 521, 713, 490, 682, 513, 705, 482, 674, 453, 645, 446, 638, 422, 614, 404, 596)(395, 587, 407, 599, 425, 617, 450, 642, 441, 633, 470, 662, 500, 692, 468, 660, 499, 691, 528, 720, 549, 741, 525, 717, 550, 742, 568, 760, 544, 736, 567, 759, 543, 735, 519, 711, 491, 683, 461, 653, 433, 625, 413, 605, 427, 619, 408, 600)(397, 589, 411, 603, 429, 621, 409, 601, 428, 620, 454, 646, 484, 676, 509, 701, 536, 728, 560, 752, 535, 727, 559, 751, 554, 746, 530, 722, 553, 745, 533, 725, 506, 698, 475, 667, 498, 690, 467, 659, 439, 631, 460, 652, 432, 624, 412, 604)(416, 608, 437, 629, 464, 656, 435, 627, 463, 655, 493, 685, 516, 708, 487, 679, 518, 710, 539, 731, 512, 704, 538, 730, 511, 703, 480, 672, 510, 702, 505, 697, 474, 666, 445, 637, 473, 665, 444, 636, 421, 613, 443, 635, 466, 658, 438, 630)(426, 618, 451, 643, 479, 671, 449, 641, 478, 670, 508, 700, 501, 693, 472, 664, 503, 695, 527, 719, 497, 689, 526, 718, 496, 688, 465, 657, 495, 687, 520, 712, 489, 681, 459, 651, 488, 680, 458, 650, 431, 623, 457, 649, 481, 673, 452, 644)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 410)(19, 421)(20, 407)(21, 394)(22, 414)(23, 404)(24, 426)(25, 396)(26, 402)(27, 431)(28, 399)(29, 398)(30, 406)(31, 435)(32, 400)(33, 439)(34, 438)(35, 441)(36, 436)(37, 403)(38, 445)(39, 443)(40, 446)(41, 449)(42, 408)(43, 453)(44, 452)(45, 455)(46, 450)(47, 411)(48, 459)(49, 457)(50, 460)(51, 415)(52, 420)(53, 465)(54, 418)(55, 417)(56, 468)(57, 419)(58, 469)(59, 423)(60, 472)(61, 422)(62, 424)(63, 475)(64, 476)(65, 425)(66, 430)(67, 480)(68, 428)(69, 427)(70, 483)(71, 429)(72, 484)(73, 433)(74, 487)(75, 432)(76, 434)(77, 490)(78, 491)(79, 489)(80, 494)(81, 437)(82, 497)(83, 495)(84, 440)(85, 442)(86, 501)(87, 486)(88, 444)(89, 504)(90, 478)(91, 447)(92, 448)(93, 492)(94, 474)(95, 509)(96, 451)(97, 512)(98, 510)(99, 454)(100, 456)(101, 516)(102, 471)(103, 458)(104, 519)(105, 463)(106, 461)(107, 462)(108, 477)(109, 523)(110, 464)(111, 467)(112, 525)(113, 466)(114, 522)(115, 527)(116, 517)(117, 470)(118, 515)(119, 530)(120, 473)(121, 532)(122, 526)(123, 513)(124, 535)(125, 479)(126, 482)(127, 537)(128, 481)(129, 507)(130, 539)(131, 502)(132, 485)(133, 500)(134, 542)(135, 488)(136, 544)(137, 538)(138, 498)(139, 493)(140, 549)(141, 496)(142, 506)(143, 499)(144, 551)(145, 548)(146, 503)(147, 553)(148, 505)(149, 557)(150, 555)(151, 508)(152, 561)(153, 511)(154, 521)(155, 514)(156, 563)(157, 560)(158, 518)(159, 565)(160, 520)(161, 569)(162, 567)(163, 568)(164, 529)(165, 524)(166, 571)(167, 528)(168, 564)(169, 531)(170, 572)(171, 534)(172, 559)(173, 533)(174, 570)(175, 556)(176, 541)(177, 536)(178, 573)(179, 540)(180, 552)(181, 543)(182, 574)(183, 546)(184, 547)(185, 545)(186, 558)(187, 550)(188, 554)(189, 562)(190, 566)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3042
Graph:: bipartite
	v = 104 e = 384 f = 240
	degree seq :: [ 4^96, 48^8 ]

E21.3042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (((C8 x C2) : C2) : C3) : C2 (small group id <192, 963>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1 * Y3^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^8, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 58, 250, 29, 221)(17, 209, 37, 229, 70, 262, 39, 231)(20, 212, 43, 235, 75, 267, 41, 233)(22, 214, 47, 239, 80, 272, 45, 237)(24, 216, 38, 230, 63, 255, 52, 244)(26, 218, 46, 238, 81, 273, 55, 247)(27, 219, 56, 248, 87, 279, 51, 243)(30, 222, 59, 251, 74, 266, 40, 232)(32, 224, 44, 236, 69, 261, 48, 240)(33, 225, 62, 254, 98, 290, 64, 256)(36, 228, 68, 260, 103, 295, 66, 258)(42, 234, 76, 268, 102, 294, 65, 257)(50, 242, 85, 277, 124, 316, 84, 276)(53, 245, 73, 265, 111, 303, 89, 281)(54, 246, 90, 282, 127, 319, 86, 278)(57, 249, 67, 259, 104, 296, 93, 285)(60, 252, 78, 270, 115, 307, 94, 286)(61, 253, 96, 288, 119, 311, 82, 274)(71, 263, 108, 300, 147, 339, 107, 299)(72, 264, 101, 293, 140, 332, 110, 302)(77, 269, 106, 298, 144, 336, 113, 305)(79, 271, 117, 309, 155, 347, 118, 310)(83, 275, 121, 313, 142, 334, 105, 297)(88, 280, 109, 301, 138, 330, 126, 318)(91, 283, 120, 312, 158, 350, 130, 322)(92, 284, 131, 323, 139, 331, 100, 292)(95, 287, 133, 325, 151, 343, 112, 304)(97, 289, 116, 308, 145, 337, 122, 314)(99, 291, 137, 329, 173, 365, 136, 328)(114, 306, 152, 344, 177, 369, 141, 333)(123, 315, 150, 342, 183, 375, 161, 353)(125, 317, 154, 346, 187, 379, 159, 351)(128, 320, 146, 338, 176, 368, 163, 355)(129, 321, 164, 356, 175, 367, 157, 349)(132, 324, 143, 335, 178, 370, 167, 359)(134, 326, 148, 340, 180, 372, 168, 360)(135, 327, 170, 362, 179, 371, 156, 348)(149, 341, 172, 364, 166, 358, 182, 374)(153, 345, 174, 366, 160, 352, 185, 377)(162, 354, 181, 373, 191, 383, 190, 382)(165, 357, 184, 376, 169, 361, 186, 378)(171, 363, 188, 380, 192, 384, 189, 381)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 435)(25, 437)(26, 438)(27, 436)(28, 441)(29, 434)(30, 397)(31, 432)(32, 398)(33, 447)(34, 449)(35, 450)(36, 400)(37, 402)(38, 409)(39, 456)(40, 457)(41, 455)(42, 403)(43, 416)(44, 404)(45, 463)(46, 405)(47, 453)(48, 406)(49, 468)(50, 407)(51, 470)(52, 448)(53, 472)(54, 471)(55, 475)(56, 412)(57, 476)(58, 466)(59, 478)(60, 414)(61, 415)(62, 418)(63, 423)(64, 484)(65, 485)(66, 483)(67, 419)(68, 428)(69, 420)(70, 491)(71, 421)(72, 493)(73, 433)(74, 496)(75, 444)(76, 497)(77, 426)(78, 427)(79, 440)(80, 489)(81, 503)(82, 430)(83, 431)(84, 507)(85, 442)(86, 510)(87, 502)(88, 511)(89, 512)(90, 439)(91, 513)(92, 482)(93, 516)(94, 509)(95, 443)(96, 506)(97, 445)(98, 520)(99, 446)(100, 522)(101, 454)(102, 525)(103, 461)(104, 526)(105, 451)(106, 452)(107, 530)(108, 459)(109, 473)(110, 533)(111, 458)(112, 534)(113, 532)(114, 460)(115, 481)(116, 462)(117, 464)(118, 541)(119, 540)(120, 465)(121, 529)(122, 467)(123, 474)(124, 543)(125, 469)(126, 523)(127, 545)(128, 546)(129, 539)(130, 549)(131, 477)(132, 550)(133, 552)(134, 479)(135, 480)(136, 556)(137, 487)(138, 494)(139, 559)(140, 486)(141, 560)(142, 558)(143, 488)(144, 500)(145, 490)(146, 495)(147, 518)(148, 492)(149, 565)(150, 508)(151, 568)(152, 569)(153, 498)(154, 499)(155, 563)(156, 501)(157, 515)(158, 571)(159, 504)(160, 505)(161, 574)(162, 567)(163, 561)(164, 514)(165, 562)(166, 557)(167, 570)(168, 572)(169, 517)(170, 573)(171, 519)(172, 524)(173, 537)(174, 521)(175, 575)(176, 531)(177, 553)(178, 554)(179, 527)(180, 528)(181, 547)(182, 551)(183, 535)(184, 542)(185, 576)(186, 536)(187, 555)(188, 538)(189, 544)(190, 548)(191, 566)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3041
Graph:: simple bipartite
	v = 240 e = 384 f = 104
	degree seq :: [ 2^192, 8^48 ]

E21.3043 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^-2)^4, T1^-1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1 * T2 * T1^-2, (T1^-1 * T2 * T1^-1)^4, T1^-1 * T2 * T1^9 * T2 * T1^-2, (T1^6 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 85, 141, 113, 60, 100, 154, 183, 177, 125, 70, 109, 161, 140, 84, 44, 22, 10, 4)(3, 7, 15, 31, 59, 111, 152, 92, 48, 24, 47, 89, 148, 137, 82, 43, 81, 136, 142, 126, 71, 37, 18, 8)(6, 13, 27, 53, 99, 163, 139, 147, 88, 46, 87, 145, 135, 80, 42, 21, 41, 78, 132, 170, 110, 58, 30, 14)(9, 19, 38, 72, 127, 162, 98, 52, 26, 12, 25, 49, 93, 153, 119, 83, 138, 144, 86, 143, 124, 77, 40, 20)(16, 33, 63, 90, 51, 96, 157, 180, 172, 112, 73, 128, 155, 94, 69, 36, 68, 123, 151, 186, 176, 120, 65, 34)(17, 35, 66, 91, 150, 184, 174, 116, 62, 32, 61, 114, 149, 108, 57, 107, 169, 182, 171, 134, 79, 104, 55, 28)(29, 56, 105, 146, 181, 178, 133, 165, 102, 54, 101, 76, 131, 160, 97, 159, 188, 179, 130, 75, 39, 74, 95, 50)(64, 118, 175, 189, 192, 185, 168, 106, 167, 117, 164, 103, 166, 129, 173, 190, 191, 187, 158, 122, 67, 121, 156, 115)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 90)(48, 91)(49, 94)(52, 97)(53, 100)(55, 103)(56, 106)(58, 109)(59, 112)(61, 115)(62, 99)(63, 117)(65, 119)(66, 87)(68, 124)(69, 121)(71, 107)(72, 113)(75, 129)(77, 125)(78, 133)(80, 114)(81, 120)(82, 104)(84, 139)(85, 142)(88, 146)(89, 149)(92, 151)(93, 154)(95, 156)(96, 158)(98, 161)(101, 164)(102, 153)(105, 143)(108, 167)(110, 159)(111, 171)(116, 173)(118, 165)(122, 160)(123, 168)(126, 157)(127, 178)(128, 166)(130, 163)(131, 145)(132, 141)(134, 175)(135, 177)(136, 174)(137, 155)(138, 179)(140, 152)(144, 180)(147, 182)(148, 183)(150, 185)(162, 186)(169, 187)(170, 184)(172, 189)(176, 190)(181, 191)(188, 192)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3044
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.3044 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 84, 69)(43, 70, 85, 71)(45, 73, 87, 74)(46, 75, 88, 76)(60, 92, 78, 93)(61, 94, 79, 95)(63, 97, 81, 98)(64, 99, 82, 100)(65, 91, 114, 96)(66, 101, 123, 102)(67, 103, 72, 90)(89, 112, 133, 113)(104, 125, 108, 126)(105, 127, 109, 128)(106, 129, 110, 130)(107, 131, 111, 132)(115, 135, 119, 136)(116, 137, 120, 138)(117, 139, 121, 140)(118, 141, 122, 142)(124, 134, 152, 143)(144, 161, 148, 162)(145, 163, 149, 164)(146, 165, 150, 166)(147, 167, 151, 168)(153, 169, 157, 170)(154, 171, 158, 172)(155, 173, 159, 174)(156, 175, 160, 176)(177, 192, 181, 188)(178, 190, 182, 186)(179, 191, 183, 187)(180, 189, 184, 185)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 104)(69, 105)(70, 106)(71, 107)(73, 108)(74, 109)(75, 110)(76, 111)(77, 101)(80, 102)(83, 112)(86, 113)(92, 115)(93, 116)(94, 117)(95, 118)(97, 119)(98, 120)(99, 121)(100, 122)(103, 124)(114, 134)(123, 143)(125, 144)(126, 145)(127, 146)(128, 147)(129, 148)(130, 149)(131, 150)(132, 151)(133, 152)(135, 153)(136, 154)(137, 155)(138, 156)(139, 157)(140, 158)(141, 159)(142, 160)(161, 177)(162, 178)(163, 179)(164, 180)(165, 181)(166, 182)(167, 183)(168, 184)(169, 185)(170, 186)(171, 187)(172, 188)(173, 189)(174, 190)(175, 191)(176, 192)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3043
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.3045 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 110, 74)(46, 75, 111, 76)(54, 86, 62, 87)(57, 91, 121, 92)(59, 93, 122, 94)(65, 101, 77, 102)(67, 103, 79, 104)(70, 106, 80, 107)(72, 108, 82, 109)(83, 112, 95, 113)(85, 114, 97, 115)(88, 117, 98, 118)(90, 119, 100, 120)(105, 127, 151, 128)(116, 137, 160, 138)(123, 143, 129, 144)(124, 145, 130, 146)(125, 147, 131, 148)(126, 149, 132, 150)(133, 152, 139, 153)(134, 154, 140, 155)(135, 156, 141, 157)(136, 158, 142, 159)(161, 177, 165, 178)(162, 179, 166, 180)(163, 181, 167, 182)(164, 183, 168, 184)(169, 185, 173, 186)(170, 187, 174, 188)(171, 189, 175, 190)(172, 191, 176, 192)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 257)(232, 259)(234, 262)(235, 264)(237, 250)(239, 269)(240, 271)(242, 272)(243, 274)(244, 275)(245, 277)(247, 280)(248, 282)(252, 287)(253, 289)(255, 290)(256, 292)(258, 283)(260, 297)(261, 279)(263, 284)(265, 276)(266, 281)(267, 288)(268, 291)(270, 285)(273, 286)(278, 308)(293, 315)(294, 316)(295, 317)(296, 318)(298, 321)(299, 322)(300, 323)(301, 324)(302, 319)(303, 320)(304, 325)(305, 326)(306, 327)(307, 328)(309, 331)(310, 332)(311, 333)(312, 334)(313, 329)(314, 330)(335, 353)(336, 354)(337, 355)(338, 356)(339, 357)(340, 358)(341, 359)(342, 360)(343, 352)(344, 361)(345, 362)(346, 363)(347, 364)(348, 365)(349, 366)(350, 367)(351, 368)(369, 384)(370, 380)(371, 382)(372, 378)(373, 383)(374, 379)(375, 381)(376, 377)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3049
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.3046 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^4, (T1 * T2^-1)^4, T1^2 * T2^3 * T1^2 * T2^-3, (T2^5 * T1^-1)^2, (T2^2 * T1^-1)^4, T2^2 * T1^-1 * T2^-10 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 99, 148, 165, 129, 79, 58, 103, 137, 86, 43, 85, 136, 169, 156, 114, 66, 32, 14, 5)(2, 7, 17, 38, 78, 130, 167, 145, 97, 51, 25, 54, 101, 123, 73, 65, 112, 154, 172, 140, 88, 44, 20, 8)(4, 12, 27, 57, 105, 150, 177, 146, 98, 53, 69, 118, 111, 64, 31, 63, 110, 153, 175, 143, 93, 48, 22, 9)(6, 15, 33, 68, 117, 158, 183, 164, 128, 77, 39, 80, 132, 92, 47, 87, 138, 170, 186, 162, 124, 74, 36, 16)(11, 26, 55, 102, 126, 113, 155, 178, 147, 100, 133, 83, 62, 30, 13, 29, 60, 108, 152, 176, 144, 96, 50, 23)(18, 40, 81, 49, 94, 139, 171, 188, 166, 131, 109, 121, 84, 42, 19, 41, 82, 134, 168, 187, 163, 127, 76, 37)(21, 45, 89, 141, 173, 189, 179, 149, 104, 56, 28, 59, 106, 115, 95, 142, 174, 190, 180, 151, 107, 61, 91, 46)(34, 70, 119, 75, 125, 161, 185, 192, 182, 159, 135, 90, 122, 72, 35, 71, 120, 160, 184, 191, 181, 157, 116, 67)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 253, 221)(209, 229, 267, 231)(212, 235, 275, 233)(214, 239, 282, 237)(216, 243, 260, 245)(218, 238, 262, 234)(219, 248, 294, 250)(222, 251, 264, 232)(224, 257, 266, 255)(225, 259, 307, 261)(228, 265, 313, 263)(230, 269, 249, 271)(236, 279, 240, 277)(242, 287, 308, 286)(244, 290, 333, 292)(246, 273, 314, 284)(247, 276, 315, 295)(252, 299, 312, 301)(254, 278, 310, 298)(256, 272, 311, 283)(258, 305, 319, 304)(268, 318, 296, 317)(270, 321, 300, 323)(274, 325, 281, 327)(280, 331, 349, 330)(285, 334, 288, 328)(289, 326, 351, 309)(291, 339, 363, 332)(293, 324, 303, 329)(297, 320, 352, 343)(302, 316, 353, 341)(306, 342, 372, 347)(322, 358, 377, 354)(335, 350, 374, 366)(336, 360, 337, 361)(338, 362, 373, 365)(340, 364, 375, 367)(344, 357, 345, 371)(346, 355, 376, 356)(348, 359, 378, 369)(368, 381, 383, 379)(370, 382, 384, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3050
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.3047 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^-2)^4, T1^-1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1 * T2 * T1^-2, (T1^-1 * T2 * T1^-1)^4, T1^-1 * T2 * T1^9 * T2 * T1^-2, (T1^6 * T2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 90)(48, 91)(49, 94)(52, 97)(53, 100)(55, 103)(56, 106)(58, 109)(59, 112)(61, 115)(62, 99)(63, 117)(65, 119)(66, 87)(68, 124)(69, 121)(71, 107)(72, 113)(75, 129)(77, 125)(78, 133)(80, 114)(81, 120)(82, 104)(84, 139)(85, 142)(88, 146)(89, 149)(92, 151)(93, 154)(95, 156)(96, 158)(98, 161)(101, 164)(102, 153)(105, 143)(108, 167)(110, 159)(111, 171)(116, 173)(118, 165)(122, 160)(123, 168)(126, 157)(127, 178)(128, 166)(130, 163)(131, 145)(132, 141)(134, 175)(135, 177)(136, 174)(137, 155)(138, 179)(140, 152)(144, 180)(147, 182)(148, 183)(150, 185)(162, 186)(169, 187)(170, 184)(172, 189)(176, 190)(181, 191)(188, 192)(193, 194, 197, 203, 215, 237, 277, 333, 305, 252, 292, 346, 375, 369, 317, 262, 301, 353, 332, 276, 236, 214, 202, 196)(195, 199, 207, 223, 251, 303, 344, 284, 240, 216, 239, 281, 340, 329, 274, 235, 273, 328, 334, 318, 263, 229, 210, 200)(198, 205, 219, 245, 291, 355, 331, 339, 280, 238, 279, 337, 327, 272, 234, 213, 233, 270, 324, 362, 302, 250, 222, 206)(201, 211, 230, 264, 319, 354, 290, 244, 218, 204, 217, 241, 285, 345, 311, 275, 330, 336, 278, 335, 316, 269, 232, 212)(208, 225, 255, 282, 243, 288, 349, 372, 364, 304, 265, 320, 347, 286, 261, 228, 260, 315, 343, 378, 368, 312, 257, 226)(209, 227, 258, 283, 342, 376, 366, 308, 254, 224, 253, 306, 341, 300, 249, 299, 361, 374, 363, 326, 271, 296, 247, 220)(221, 248, 297, 338, 373, 370, 325, 357, 294, 246, 293, 268, 323, 352, 289, 351, 380, 371, 322, 267, 231, 266, 287, 242)(256, 310, 367, 381, 384, 377, 360, 298, 359, 309, 356, 295, 358, 321, 365, 382, 383, 379, 350, 314, 259, 313, 348, 307)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3048
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.3048 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 66, 258, 40, 232)(25, 217, 42, 234, 71, 263, 43, 235)(28, 220, 47, 239, 78, 270, 48, 240)(30, 222, 50, 242, 81, 273, 51, 243)(31, 223, 52, 244, 84, 276, 53, 245)(33, 225, 55, 247, 89, 281, 56, 248)(36, 228, 60, 252, 96, 288, 61, 253)(38, 230, 63, 255, 99, 291, 64, 256)(41, 233, 68, 260, 49, 241, 69, 261)(44, 236, 73, 265, 110, 302, 74, 266)(46, 238, 75, 267, 111, 303, 76, 268)(54, 246, 86, 278, 62, 254, 87, 279)(57, 249, 91, 283, 121, 313, 92, 284)(59, 251, 93, 285, 122, 314, 94, 286)(65, 257, 101, 293, 77, 269, 102, 294)(67, 259, 103, 295, 79, 271, 104, 296)(70, 262, 106, 298, 80, 272, 107, 299)(72, 264, 108, 300, 82, 274, 109, 301)(83, 275, 112, 304, 95, 287, 113, 305)(85, 277, 114, 306, 97, 289, 115, 307)(88, 280, 117, 309, 98, 290, 118, 310)(90, 282, 119, 311, 100, 292, 120, 312)(105, 297, 127, 319, 151, 343, 128, 320)(116, 308, 137, 329, 160, 352, 138, 330)(123, 315, 143, 335, 129, 321, 144, 336)(124, 316, 145, 337, 130, 322, 146, 338)(125, 317, 147, 339, 131, 323, 148, 340)(126, 318, 149, 341, 132, 324, 150, 342)(133, 325, 152, 344, 139, 331, 153, 345)(134, 326, 154, 346, 140, 332, 155, 347)(135, 327, 156, 348, 141, 333, 157, 349)(136, 328, 158, 350, 142, 334, 159, 351)(161, 353, 177, 369, 165, 357, 178, 370)(162, 354, 179, 371, 166, 358, 180, 372)(163, 355, 181, 373, 167, 359, 182, 374)(164, 356, 183, 375, 168, 360, 184, 376)(169, 361, 185, 377, 173, 365, 186, 378)(170, 362, 187, 379, 174, 366, 188, 380)(171, 363, 189, 381, 175, 367, 190, 382)(172, 364, 191, 383, 176, 368, 192, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 233)(25, 206)(26, 236)(27, 238)(28, 208)(29, 241)(30, 209)(31, 210)(32, 246)(33, 211)(34, 249)(35, 251)(36, 213)(37, 254)(38, 214)(39, 257)(40, 259)(41, 216)(42, 262)(43, 264)(44, 218)(45, 250)(46, 219)(47, 269)(48, 271)(49, 221)(50, 272)(51, 274)(52, 275)(53, 277)(54, 224)(55, 280)(56, 282)(57, 226)(58, 237)(59, 227)(60, 287)(61, 289)(62, 229)(63, 290)(64, 292)(65, 231)(66, 283)(67, 232)(68, 297)(69, 279)(70, 234)(71, 284)(72, 235)(73, 276)(74, 281)(75, 288)(76, 291)(77, 239)(78, 285)(79, 240)(80, 242)(81, 286)(82, 243)(83, 244)(84, 265)(85, 245)(86, 308)(87, 261)(88, 247)(89, 266)(90, 248)(91, 258)(92, 263)(93, 270)(94, 273)(95, 252)(96, 267)(97, 253)(98, 255)(99, 268)(100, 256)(101, 315)(102, 316)(103, 317)(104, 318)(105, 260)(106, 321)(107, 322)(108, 323)(109, 324)(110, 319)(111, 320)(112, 325)(113, 326)(114, 327)(115, 328)(116, 278)(117, 331)(118, 332)(119, 333)(120, 334)(121, 329)(122, 330)(123, 293)(124, 294)(125, 295)(126, 296)(127, 302)(128, 303)(129, 298)(130, 299)(131, 300)(132, 301)(133, 304)(134, 305)(135, 306)(136, 307)(137, 313)(138, 314)(139, 309)(140, 310)(141, 311)(142, 312)(143, 353)(144, 354)(145, 355)(146, 356)(147, 357)(148, 358)(149, 359)(150, 360)(151, 352)(152, 361)(153, 362)(154, 363)(155, 364)(156, 365)(157, 366)(158, 367)(159, 368)(160, 343)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 344)(170, 345)(171, 346)(172, 347)(173, 348)(174, 349)(175, 350)(176, 351)(177, 384)(178, 380)(179, 382)(180, 378)(181, 383)(182, 379)(183, 381)(184, 377)(185, 376)(186, 372)(187, 374)(188, 370)(189, 375)(190, 371)(191, 373)(192, 369)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3047
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.3049 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^4, (T1 * T2^-1)^4, T1^2 * T2^3 * T1^2 * T2^-3, (T2^5 * T1^-1)^2, (T2^2 * T1^-1)^4, T2^2 * T1^-1 * T2^-10 * T1^-1 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 52, 244, 99, 291, 148, 340, 165, 357, 129, 321, 79, 271, 58, 250, 103, 295, 137, 329, 86, 278, 43, 235, 85, 277, 136, 328, 169, 361, 156, 348, 114, 306, 66, 258, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 78, 270, 130, 322, 167, 359, 145, 337, 97, 289, 51, 243, 25, 217, 54, 246, 101, 293, 123, 315, 73, 265, 65, 257, 112, 304, 154, 346, 172, 364, 140, 332, 88, 280, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 57, 249, 105, 297, 150, 342, 177, 369, 146, 338, 98, 290, 53, 245, 69, 261, 118, 310, 111, 303, 64, 256, 31, 223, 63, 255, 110, 302, 153, 345, 175, 367, 143, 335, 93, 285, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 68, 260, 117, 309, 158, 350, 183, 375, 164, 356, 128, 320, 77, 269, 39, 231, 80, 272, 132, 324, 92, 284, 47, 239, 87, 279, 138, 330, 170, 362, 186, 378, 162, 354, 124, 316, 74, 266, 36, 228, 16, 208)(11, 203, 26, 218, 55, 247, 102, 294, 126, 318, 113, 305, 155, 347, 178, 370, 147, 339, 100, 292, 133, 325, 83, 275, 62, 254, 30, 222, 13, 205, 29, 221, 60, 252, 108, 300, 152, 344, 176, 368, 144, 336, 96, 288, 50, 242, 23, 215)(18, 210, 40, 232, 81, 273, 49, 241, 94, 286, 139, 331, 171, 363, 188, 380, 166, 358, 131, 323, 109, 301, 121, 313, 84, 276, 42, 234, 19, 211, 41, 233, 82, 274, 134, 326, 168, 360, 187, 379, 163, 355, 127, 319, 76, 268, 37, 229)(21, 213, 45, 237, 89, 281, 141, 333, 173, 365, 189, 381, 179, 371, 149, 341, 104, 296, 56, 248, 28, 220, 59, 251, 106, 298, 115, 307, 95, 287, 142, 334, 174, 366, 190, 382, 180, 372, 151, 343, 107, 299, 61, 253, 91, 283, 46, 238)(34, 226, 70, 262, 119, 311, 75, 267, 125, 317, 161, 353, 185, 377, 192, 384, 182, 374, 159, 351, 135, 327, 90, 282, 122, 314, 72, 264, 35, 227, 71, 263, 120, 312, 160, 352, 184, 376, 191, 383, 181, 373, 157, 349, 116, 308, 67, 259)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 243)(25, 202)(26, 238)(27, 248)(28, 204)(29, 206)(30, 251)(31, 253)(32, 257)(33, 259)(34, 207)(35, 220)(36, 265)(37, 267)(38, 269)(39, 209)(40, 222)(41, 212)(42, 218)(43, 275)(44, 279)(45, 214)(46, 262)(47, 282)(48, 277)(49, 217)(50, 287)(51, 260)(52, 290)(53, 216)(54, 273)(55, 276)(56, 294)(57, 271)(58, 219)(59, 264)(60, 299)(61, 221)(62, 278)(63, 224)(64, 272)(65, 266)(66, 305)(67, 307)(68, 245)(69, 225)(70, 234)(71, 228)(72, 232)(73, 313)(74, 255)(75, 231)(76, 318)(77, 249)(78, 321)(79, 230)(80, 311)(81, 314)(82, 325)(83, 233)(84, 315)(85, 236)(86, 310)(87, 240)(88, 331)(89, 327)(90, 237)(91, 256)(92, 246)(93, 334)(94, 242)(95, 308)(96, 328)(97, 326)(98, 333)(99, 339)(100, 244)(101, 324)(102, 250)(103, 247)(104, 317)(105, 320)(106, 254)(107, 312)(108, 323)(109, 252)(110, 316)(111, 329)(112, 258)(113, 319)(114, 342)(115, 261)(116, 286)(117, 289)(118, 298)(119, 283)(120, 301)(121, 263)(122, 284)(123, 295)(124, 353)(125, 268)(126, 296)(127, 304)(128, 352)(129, 300)(130, 358)(131, 270)(132, 303)(133, 281)(134, 351)(135, 274)(136, 285)(137, 293)(138, 280)(139, 349)(140, 291)(141, 292)(142, 288)(143, 350)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 302)(150, 372)(151, 297)(152, 357)(153, 371)(154, 355)(155, 306)(156, 359)(157, 330)(158, 374)(159, 309)(160, 343)(161, 341)(162, 322)(163, 376)(164, 346)(165, 345)(166, 377)(167, 378)(168, 337)(169, 336)(170, 373)(171, 332)(172, 375)(173, 338)(174, 335)(175, 340)(176, 381)(177, 348)(178, 382)(179, 344)(180, 347)(181, 365)(182, 366)(183, 367)(184, 356)(185, 354)(186, 369)(187, 368)(188, 370)(189, 383)(190, 384)(191, 379)(192, 380)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3045
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.3050 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^-2)^4, T1^-1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1 * T2 * T1^-2, (T1^-1 * T2 * T1^-1)^4, T1^-1 * T2 * T1^9 * T2 * T1^-2, (T1^6 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 64, 256)(35, 227, 67, 259)(37, 229, 70, 262)(38, 230, 73, 265)(40, 232, 76, 268)(41, 233, 79, 271)(42, 234, 74, 266)(44, 236, 83, 275)(45, 237, 86, 278)(47, 239, 90, 282)(48, 240, 91, 283)(49, 241, 94, 286)(52, 244, 97, 289)(53, 245, 100, 292)(55, 247, 103, 295)(56, 248, 106, 298)(58, 250, 109, 301)(59, 251, 112, 304)(61, 253, 115, 307)(62, 254, 99, 291)(63, 255, 117, 309)(65, 257, 119, 311)(66, 258, 87, 279)(68, 260, 124, 316)(69, 261, 121, 313)(71, 263, 107, 299)(72, 264, 113, 305)(75, 267, 129, 321)(77, 269, 125, 317)(78, 270, 133, 325)(80, 272, 114, 306)(81, 273, 120, 312)(82, 274, 104, 296)(84, 276, 139, 331)(85, 277, 142, 334)(88, 280, 146, 338)(89, 281, 149, 341)(92, 284, 151, 343)(93, 285, 154, 346)(95, 287, 156, 348)(96, 288, 158, 350)(98, 290, 161, 353)(101, 293, 164, 356)(102, 294, 153, 345)(105, 297, 143, 335)(108, 300, 167, 359)(110, 302, 159, 351)(111, 303, 171, 363)(116, 308, 173, 365)(118, 310, 165, 357)(122, 314, 160, 352)(123, 315, 168, 360)(126, 318, 157, 349)(127, 319, 178, 370)(128, 320, 166, 358)(130, 322, 163, 355)(131, 323, 145, 337)(132, 324, 141, 333)(134, 326, 175, 367)(135, 327, 177, 369)(136, 328, 174, 366)(137, 329, 155, 347)(138, 330, 179, 371)(140, 332, 152, 344)(144, 336, 180, 372)(147, 339, 182, 374)(148, 340, 183, 375)(150, 342, 185, 377)(162, 354, 186, 378)(169, 361, 187, 379)(170, 362, 184, 376)(172, 364, 189, 381)(176, 368, 190, 382)(181, 373, 191, 383)(188, 380, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 253)(33, 255)(34, 208)(35, 258)(36, 260)(37, 210)(38, 264)(39, 266)(40, 212)(41, 270)(42, 213)(43, 273)(44, 214)(45, 277)(46, 279)(47, 281)(48, 216)(49, 285)(50, 221)(51, 288)(52, 218)(53, 291)(54, 293)(55, 220)(56, 297)(57, 299)(58, 222)(59, 303)(60, 292)(61, 306)(62, 224)(63, 282)(64, 310)(65, 226)(66, 283)(67, 313)(68, 315)(69, 228)(70, 301)(71, 229)(72, 319)(73, 320)(74, 287)(75, 231)(76, 323)(77, 232)(78, 324)(79, 296)(80, 234)(81, 328)(82, 235)(83, 330)(84, 236)(85, 333)(86, 335)(87, 337)(88, 238)(89, 340)(90, 243)(91, 342)(92, 240)(93, 345)(94, 261)(95, 242)(96, 349)(97, 351)(98, 244)(99, 355)(100, 346)(101, 268)(102, 246)(103, 358)(104, 247)(105, 338)(106, 359)(107, 361)(108, 249)(109, 353)(110, 250)(111, 344)(112, 265)(113, 252)(114, 341)(115, 256)(116, 254)(117, 356)(118, 367)(119, 275)(120, 257)(121, 348)(122, 259)(123, 343)(124, 269)(125, 262)(126, 263)(127, 354)(128, 347)(129, 365)(130, 267)(131, 352)(132, 362)(133, 357)(134, 271)(135, 272)(136, 334)(137, 274)(138, 336)(139, 339)(140, 276)(141, 305)(142, 318)(143, 316)(144, 278)(145, 327)(146, 373)(147, 280)(148, 329)(149, 300)(150, 376)(151, 378)(152, 284)(153, 311)(154, 375)(155, 286)(156, 307)(157, 372)(158, 314)(159, 380)(160, 289)(161, 332)(162, 290)(163, 331)(164, 295)(165, 294)(166, 321)(167, 309)(168, 298)(169, 374)(170, 302)(171, 326)(172, 304)(173, 382)(174, 308)(175, 381)(176, 312)(177, 317)(178, 325)(179, 322)(180, 364)(181, 370)(182, 363)(183, 369)(184, 366)(185, 360)(186, 368)(187, 350)(188, 371)(189, 384)(190, 383)(191, 379)(192, 377)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3046
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.3051 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, (Y2^-2 * R * Y2^2 * R)^2, (Y2 * Y1 * Y2^-1 * R * Y2^2 * R)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 65, 257)(40, 232, 67, 259)(42, 234, 70, 262)(43, 235, 72, 264)(45, 237, 58, 250)(47, 239, 77, 269)(48, 240, 79, 271)(50, 242, 80, 272)(51, 243, 82, 274)(52, 244, 83, 275)(53, 245, 85, 277)(55, 247, 88, 280)(56, 248, 90, 282)(60, 252, 95, 287)(61, 253, 97, 289)(63, 255, 98, 290)(64, 256, 100, 292)(66, 258, 91, 283)(68, 260, 105, 297)(69, 261, 87, 279)(71, 263, 92, 284)(73, 265, 84, 276)(74, 266, 89, 281)(75, 267, 96, 288)(76, 268, 99, 291)(78, 270, 93, 285)(81, 273, 94, 286)(86, 278, 116, 308)(101, 293, 123, 315)(102, 294, 124, 316)(103, 295, 125, 317)(104, 296, 126, 318)(106, 298, 129, 321)(107, 299, 130, 322)(108, 300, 131, 323)(109, 301, 132, 324)(110, 302, 127, 319)(111, 303, 128, 320)(112, 304, 133, 325)(113, 305, 134, 326)(114, 306, 135, 327)(115, 307, 136, 328)(117, 309, 139, 331)(118, 310, 140, 332)(119, 311, 141, 333)(120, 312, 142, 334)(121, 313, 137, 329)(122, 314, 138, 330)(143, 335, 161, 353)(144, 336, 162, 354)(145, 337, 163, 355)(146, 338, 164, 356)(147, 339, 165, 357)(148, 340, 166, 358)(149, 341, 167, 359)(150, 342, 168, 360)(151, 343, 160, 352)(152, 344, 169, 361)(153, 345, 170, 362)(154, 346, 171, 363)(155, 347, 172, 364)(156, 348, 173, 365)(157, 349, 174, 366)(158, 350, 175, 367)(159, 351, 176, 368)(177, 369, 192, 384)(178, 370, 188, 380)(179, 371, 190, 382)(180, 372, 186, 378)(181, 373, 191, 383)(182, 374, 187, 379)(183, 375, 189, 381)(184, 376, 185, 377)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 450, 642, 424, 616)(409, 601, 426, 618, 455, 647, 427, 619)(412, 604, 431, 623, 462, 654, 432, 624)(414, 606, 434, 626, 465, 657, 435, 627)(415, 607, 436, 628, 468, 660, 437, 629)(417, 609, 439, 631, 473, 665, 440, 632)(420, 612, 444, 636, 480, 672, 445, 637)(422, 614, 447, 639, 483, 675, 448, 640)(425, 617, 452, 644, 433, 625, 453, 645)(428, 620, 457, 649, 494, 686, 458, 650)(430, 622, 459, 651, 495, 687, 460, 652)(438, 630, 470, 662, 446, 638, 471, 663)(441, 633, 475, 667, 505, 697, 476, 668)(443, 635, 477, 669, 506, 698, 478, 670)(449, 641, 485, 677, 461, 653, 486, 678)(451, 643, 487, 679, 463, 655, 488, 680)(454, 646, 490, 682, 464, 656, 491, 683)(456, 648, 492, 684, 466, 658, 493, 685)(467, 659, 496, 688, 479, 671, 497, 689)(469, 661, 498, 690, 481, 673, 499, 691)(472, 664, 501, 693, 482, 674, 502, 694)(474, 666, 503, 695, 484, 676, 504, 696)(489, 681, 511, 703, 535, 727, 512, 704)(500, 692, 521, 713, 544, 736, 522, 714)(507, 699, 527, 719, 513, 705, 528, 720)(508, 700, 529, 721, 514, 706, 530, 722)(509, 701, 531, 723, 515, 707, 532, 724)(510, 702, 533, 725, 516, 708, 534, 726)(517, 709, 536, 728, 523, 715, 537, 729)(518, 710, 538, 730, 524, 716, 539, 731)(519, 711, 540, 732, 525, 717, 541, 733)(520, 712, 542, 734, 526, 718, 543, 735)(545, 737, 561, 753, 549, 741, 562, 754)(546, 738, 563, 755, 550, 742, 564, 756)(547, 739, 565, 757, 551, 743, 566, 758)(548, 740, 567, 759, 552, 744, 568, 760)(553, 745, 569, 761, 557, 749, 570, 762)(554, 746, 571, 763, 558, 750, 572, 764)(555, 747, 573, 765, 559, 751, 574, 766)(556, 748, 575, 767, 560, 752, 576, 768)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 449)(40, 451)(41, 408)(42, 454)(43, 456)(44, 410)(45, 442)(46, 411)(47, 461)(48, 463)(49, 413)(50, 464)(51, 466)(52, 467)(53, 469)(54, 416)(55, 472)(56, 474)(57, 418)(58, 429)(59, 419)(60, 479)(61, 481)(62, 421)(63, 482)(64, 484)(65, 423)(66, 475)(67, 424)(68, 489)(69, 471)(70, 426)(71, 476)(72, 427)(73, 468)(74, 473)(75, 480)(76, 483)(77, 431)(78, 477)(79, 432)(80, 434)(81, 478)(82, 435)(83, 436)(84, 457)(85, 437)(86, 500)(87, 453)(88, 439)(89, 458)(90, 440)(91, 450)(92, 455)(93, 462)(94, 465)(95, 444)(96, 459)(97, 445)(98, 447)(99, 460)(100, 448)(101, 507)(102, 508)(103, 509)(104, 510)(105, 452)(106, 513)(107, 514)(108, 515)(109, 516)(110, 511)(111, 512)(112, 517)(113, 518)(114, 519)(115, 520)(116, 470)(117, 523)(118, 524)(119, 525)(120, 526)(121, 521)(122, 522)(123, 485)(124, 486)(125, 487)(126, 488)(127, 494)(128, 495)(129, 490)(130, 491)(131, 492)(132, 493)(133, 496)(134, 497)(135, 498)(136, 499)(137, 505)(138, 506)(139, 501)(140, 502)(141, 503)(142, 504)(143, 545)(144, 546)(145, 547)(146, 548)(147, 549)(148, 550)(149, 551)(150, 552)(151, 544)(152, 553)(153, 554)(154, 555)(155, 556)(156, 557)(157, 558)(158, 559)(159, 560)(160, 535)(161, 527)(162, 528)(163, 529)(164, 530)(165, 531)(166, 532)(167, 533)(168, 534)(169, 536)(170, 537)(171, 538)(172, 539)(173, 540)(174, 541)(175, 542)(176, 543)(177, 576)(178, 572)(179, 574)(180, 570)(181, 575)(182, 571)(183, 573)(184, 569)(185, 568)(186, 564)(187, 566)(188, 562)(189, 567)(190, 563)(191, 565)(192, 561)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3054
Graph:: bipartite
	v = 144 e = 384 f = 200
	degree seq :: [ 4^96, 8^48 ]

E21.3052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2 * Y1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y2^-1)^4, Y2^-1 * Y1^-2 * Y2^3 * Y1^-2 * Y2^-2, Y2^-4 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1, (Y2^2 * Y1^-1)^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^3 * Y1 * Y2^2 * Y1^2, Y2^9 * Y1 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 61, 253, 29, 221)(17, 209, 37, 229, 75, 267, 39, 231)(20, 212, 43, 235, 83, 275, 41, 233)(22, 214, 47, 239, 90, 282, 45, 237)(24, 216, 51, 243, 68, 260, 53, 245)(26, 218, 46, 238, 70, 262, 42, 234)(27, 219, 56, 248, 102, 294, 58, 250)(30, 222, 59, 251, 72, 264, 40, 232)(32, 224, 65, 257, 74, 266, 63, 255)(33, 225, 67, 259, 115, 307, 69, 261)(36, 228, 73, 265, 121, 313, 71, 263)(38, 230, 77, 269, 57, 249, 79, 271)(44, 236, 87, 279, 48, 240, 85, 277)(50, 242, 95, 287, 116, 308, 94, 286)(52, 244, 98, 290, 141, 333, 100, 292)(54, 246, 81, 273, 122, 314, 92, 284)(55, 247, 84, 276, 123, 315, 103, 295)(60, 252, 107, 299, 120, 312, 109, 301)(62, 254, 86, 278, 118, 310, 106, 298)(64, 256, 80, 272, 119, 311, 91, 283)(66, 258, 113, 305, 127, 319, 112, 304)(76, 268, 126, 318, 104, 296, 125, 317)(78, 270, 129, 321, 108, 300, 131, 323)(82, 274, 133, 325, 89, 281, 135, 327)(88, 280, 139, 331, 157, 349, 138, 330)(93, 285, 142, 334, 96, 288, 136, 328)(97, 289, 134, 326, 159, 351, 117, 309)(99, 291, 147, 339, 171, 363, 140, 332)(101, 293, 132, 324, 111, 303, 137, 329)(105, 297, 128, 320, 160, 352, 151, 343)(110, 302, 124, 316, 161, 353, 149, 341)(114, 306, 150, 342, 180, 372, 155, 347)(130, 322, 166, 358, 185, 377, 162, 354)(143, 335, 158, 350, 182, 374, 174, 366)(144, 336, 168, 360, 145, 337, 169, 361)(146, 338, 170, 362, 181, 373, 173, 365)(148, 340, 172, 364, 183, 375, 175, 367)(152, 344, 165, 357, 153, 345, 179, 371)(154, 346, 163, 355, 184, 376, 164, 356)(156, 348, 167, 359, 186, 378, 177, 369)(176, 368, 189, 381, 191, 383, 187, 379)(178, 370, 190, 382, 192, 384, 188, 380)(385, 577, 387, 579, 394, 586, 408, 600, 436, 628, 483, 675, 532, 724, 549, 741, 513, 705, 463, 655, 442, 634, 487, 679, 521, 713, 470, 662, 427, 619, 469, 661, 520, 712, 553, 745, 540, 732, 498, 690, 450, 642, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 462, 654, 514, 706, 551, 743, 529, 721, 481, 673, 435, 627, 409, 601, 438, 630, 485, 677, 507, 699, 457, 649, 449, 641, 496, 688, 538, 730, 556, 748, 524, 716, 472, 664, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 441, 633, 489, 681, 534, 726, 561, 753, 530, 722, 482, 674, 437, 629, 453, 645, 502, 694, 495, 687, 448, 640, 415, 607, 447, 639, 494, 686, 537, 729, 559, 751, 527, 719, 477, 669, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 452, 644, 501, 693, 542, 734, 567, 759, 548, 740, 512, 704, 461, 653, 423, 615, 464, 656, 516, 708, 476, 668, 431, 623, 471, 663, 522, 714, 554, 746, 570, 762, 546, 738, 508, 700, 458, 650, 420, 612, 400, 592)(395, 587, 410, 602, 439, 631, 486, 678, 510, 702, 497, 689, 539, 731, 562, 754, 531, 723, 484, 676, 517, 709, 467, 659, 446, 638, 414, 606, 397, 589, 413, 605, 444, 636, 492, 684, 536, 728, 560, 752, 528, 720, 480, 672, 434, 626, 407, 599)(402, 594, 424, 616, 465, 657, 433, 625, 478, 670, 523, 715, 555, 747, 572, 764, 550, 742, 515, 707, 493, 685, 505, 697, 468, 660, 426, 618, 403, 595, 425, 617, 466, 658, 518, 710, 552, 744, 571, 763, 547, 739, 511, 703, 460, 652, 421, 613)(405, 597, 429, 621, 473, 665, 525, 717, 557, 749, 573, 765, 563, 755, 533, 725, 488, 680, 440, 632, 412, 604, 443, 635, 490, 682, 499, 691, 479, 671, 526, 718, 558, 750, 574, 766, 564, 756, 535, 727, 491, 683, 445, 637, 475, 667, 430, 622)(418, 610, 454, 646, 503, 695, 459, 651, 509, 701, 545, 737, 569, 761, 576, 768, 566, 758, 543, 735, 519, 711, 474, 666, 506, 698, 456, 648, 419, 611, 455, 647, 504, 696, 544, 736, 568, 760, 575, 767, 565, 757, 541, 733, 500, 692, 451, 643)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 441)(28, 443)(29, 444)(30, 397)(31, 447)(32, 398)(33, 452)(34, 454)(35, 455)(36, 400)(37, 402)(38, 462)(39, 464)(40, 465)(41, 466)(42, 403)(43, 469)(44, 404)(45, 473)(46, 405)(47, 471)(48, 406)(49, 478)(50, 407)(51, 409)(52, 483)(53, 453)(54, 485)(55, 486)(56, 412)(57, 489)(58, 487)(59, 490)(60, 492)(61, 475)(62, 414)(63, 494)(64, 415)(65, 496)(66, 416)(67, 418)(68, 501)(69, 502)(70, 503)(71, 504)(72, 419)(73, 449)(74, 420)(75, 509)(76, 421)(77, 423)(78, 514)(79, 442)(80, 516)(81, 433)(82, 518)(83, 446)(84, 426)(85, 520)(86, 427)(87, 522)(88, 428)(89, 525)(90, 506)(91, 430)(92, 431)(93, 432)(94, 523)(95, 526)(96, 434)(97, 435)(98, 437)(99, 532)(100, 517)(101, 507)(102, 510)(103, 521)(104, 440)(105, 534)(106, 499)(107, 445)(108, 536)(109, 505)(110, 537)(111, 448)(112, 538)(113, 539)(114, 450)(115, 479)(116, 451)(117, 542)(118, 495)(119, 459)(120, 544)(121, 468)(122, 456)(123, 457)(124, 458)(125, 545)(126, 497)(127, 460)(128, 461)(129, 463)(130, 551)(131, 493)(132, 476)(133, 467)(134, 552)(135, 474)(136, 553)(137, 470)(138, 554)(139, 555)(140, 472)(141, 557)(142, 558)(143, 477)(144, 480)(145, 481)(146, 482)(147, 484)(148, 549)(149, 488)(150, 561)(151, 491)(152, 560)(153, 559)(154, 556)(155, 562)(156, 498)(157, 500)(158, 567)(159, 519)(160, 568)(161, 569)(162, 508)(163, 511)(164, 512)(165, 513)(166, 515)(167, 529)(168, 571)(169, 540)(170, 570)(171, 572)(172, 524)(173, 573)(174, 574)(175, 527)(176, 528)(177, 530)(178, 531)(179, 533)(180, 535)(181, 541)(182, 543)(183, 548)(184, 575)(185, 576)(186, 546)(187, 547)(188, 550)(189, 563)(190, 564)(191, 565)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3053
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 8^48, 48^8 ]

E21.3053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4, (Y3^2 * Y2)^4, Y3^-1 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^-3 * Y2, Y2 * Y3^9 * Y2 * Y3^-3, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 443, 635)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 450, 642)(421, 613, 454, 646)(423, 615, 458, 650)(424, 616, 460, 652)(425, 617, 462, 654)(426, 618, 456, 648)(428, 620, 467, 659)(429, 621, 469, 661)(431, 623, 473, 665)(432, 624, 472, 664)(433, 625, 476, 668)(435, 627, 480, 672)(437, 629, 484, 676)(438, 630, 486, 678)(439, 631, 488, 680)(440, 632, 482, 674)(442, 634, 493, 685)(444, 636, 478, 670)(445, 637, 497, 689)(448, 640, 491, 683)(449, 641, 490, 682)(451, 643, 504, 696)(452, 644, 470, 662)(453, 645, 485, 677)(455, 647, 509, 701)(457, 649, 511, 703)(459, 651, 479, 671)(461, 653, 492, 684)(463, 655, 517, 709)(464, 656, 475, 667)(465, 657, 474, 666)(466, 658, 487, 679)(468, 660, 523, 715)(471, 663, 527, 719)(477, 669, 534, 726)(481, 673, 539, 731)(483, 675, 541, 733)(489, 681, 547, 739)(494, 686, 553, 745)(495, 687, 525, 717)(496, 688, 530, 722)(498, 690, 546, 738)(499, 691, 529, 721)(500, 692, 526, 718)(501, 693, 556, 748)(502, 694, 536, 728)(503, 695, 542, 734)(505, 697, 550, 742)(506, 698, 532, 724)(507, 699, 548, 740)(508, 700, 555, 747)(510, 702, 554, 746)(512, 704, 533, 725)(513, 705, 545, 737)(514, 706, 563, 755)(515, 707, 543, 735)(516, 708, 528, 720)(518, 710, 537, 729)(519, 711, 551, 743)(520, 712, 535, 727)(521, 713, 549, 741)(522, 714, 562, 754)(524, 716, 540, 732)(531, 723, 565, 757)(538, 730, 564, 756)(544, 736, 572, 764)(552, 744, 571, 763)(557, 749, 567, 759)(558, 750, 566, 758)(559, 751, 568, 760)(560, 752, 570, 762)(561, 753, 569, 761)(573, 765, 576, 768)(574, 766, 575, 767)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 444)(32, 445)(33, 400)(34, 449)(35, 401)(36, 452)(37, 455)(38, 456)(39, 459)(40, 404)(41, 463)(42, 405)(43, 465)(44, 406)(45, 470)(46, 471)(47, 408)(48, 475)(49, 409)(50, 478)(51, 481)(52, 482)(53, 485)(54, 412)(55, 489)(56, 413)(57, 491)(58, 414)(59, 495)(60, 476)(61, 498)(62, 416)(63, 493)(64, 417)(65, 502)(66, 503)(67, 419)(68, 506)(69, 420)(70, 484)(71, 510)(72, 499)(73, 422)(74, 513)(75, 514)(76, 515)(77, 424)(78, 487)(79, 518)(80, 426)(81, 520)(82, 427)(83, 522)(84, 428)(85, 525)(86, 450)(87, 528)(88, 430)(89, 467)(90, 431)(91, 532)(92, 533)(93, 433)(94, 536)(95, 434)(96, 458)(97, 540)(98, 529)(99, 436)(100, 543)(101, 544)(102, 545)(103, 438)(104, 461)(105, 548)(106, 440)(107, 550)(108, 441)(109, 552)(110, 442)(111, 460)(112, 443)(113, 526)(114, 555)(115, 446)(116, 447)(117, 448)(118, 530)(119, 553)(120, 556)(121, 451)(122, 559)(123, 453)(124, 454)(125, 546)(126, 537)(127, 534)(128, 457)(129, 549)(130, 558)(131, 541)(132, 462)(133, 527)(134, 557)(135, 464)(136, 554)(137, 466)(138, 561)(139, 560)(140, 468)(141, 486)(142, 469)(143, 496)(144, 564)(145, 472)(146, 473)(147, 474)(148, 500)(149, 523)(150, 565)(151, 477)(152, 568)(153, 479)(154, 480)(155, 516)(156, 507)(157, 504)(158, 483)(159, 519)(160, 567)(161, 511)(162, 488)(163, 497)(164, 566)(165, 490)(166, 524)(167, 492)(168, 570)(169, 569)(170, 494)(171, 573)(172, 574)(173, 501)(174, 505)(175, 521)(176, 508)(177, 509)(178, 512)(179, 517)(180, 575)(181, 576)(182, 531)(183, 535)(184, 551)(185, 538)(186, 539)(187, 542)(188, 547)(189, 563)(190, 562)(191, 572)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3052
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.3054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|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)^4, Y3 * Y1^-4 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^-2)^4, Y3 * Y1^9 * Y3 * Y1^-3, (Y1^-6 * Y3)^2 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 85, 277, 141, 333, 113, 305, 60, 252, 100, 292, 154, 346, 183, 375, 177, 369, 125, 317, 70, 262, 109, 301, 161, 353, 140, 332, 84, 276, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 111, 303, 152, 344, 92, 284, 48, 240, 24, 216, 47, 239, 89, 281, 148, 340, 137, 329, 82, 274, 43, 235, 81, 273, 136, 328, 142, 334, 126, 318, 71, 263, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 99, 291, 163, 355, 139, 331, 147, 339, 88, 280, 46, 238, 87, 279, 145, 337, 135, 327, 80, 272, 42, 234, 21, 213, 41, 233, 78, 270, 132, 324, 170, 362, 110, 302, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 72, 264, 127, 319, 162, 354, 98, 290, 52, 244, 26, 218, 12, 204, 25, 217, 49, 241, 93, 285, 153, 345, 119, 311, 83, 275, 138, 330, 144, 336, 86, 278, 143, 335, 124, 316, 77, 269, 40, 232, 20, 212)(16, 208, 33, 225, 63, 255, 90, 282, 51, 243, 96, 288, 157, 349, 180, 372, 172, 364, 112, 304, 73, 265, 128, 320, 155, 347, 94, 286, 69, 261, 36, 228, 68, 260, 123, 315, 151, 343, 186, 378, 176, 368, 120, 312, 65, 257, 34, 226)(17, 209, 35, 227, 66, 258, 91, 283, 150, 342, 184, 376, 174, 366, 116, 308, 62, 254, 32, 224, 61, 253, 114, 306, 149, 341, 108, 300, 57, 249, 107, 299, 169, 361, 182, 374, 171, 363, 134, 326, 79, 271, 104, 296, 55, 247, 28, 220)(29, 221, 56, 248, 105, 297, 146, 338, 181, 373, 178, 370, 133, 325, 165, 357, 102, 294, 54, 246, 101, 293, 76, 268, 131, 323, 160, 352, 97, 289, 159, 351, 188, 380, 179, 371, 130, 322, 75, 267, 39, 231, 74, 266, 95, 287, 50, 242)(64, 256, 118, 310, 175, 367, 189, 381, 192, 384, 185, 377, 168, 360, 106, 298, 167, 359, 117, 309, 164, 356, 103, 295, 166, 358, 129, 321, 173, 365, 190, 382, 191, 383, 187, 379, 158, 350, 122, 314, 67, 259, 121, 313, 156, 348, 115, 307)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 448)(35, 451)(36, 402)(37, 454)(38, 457)(39, 403)(40, 460)(41, 463)(42, 458)(43, 406)(44, 467)(45, 470)(46, 407)(47, 474)(48, 475)(49, 478)(50, 409)(51, 410)(52, 481)(53, 484)(54, 411)(55, 487)(56, 490)(57, 414)(58, 493)(59, 496)(60, 415)(61, 499)(62, 483)(63, 501)(64, 418)(65, 503)(66, 471)(67, 419)(68, 508)(69, 505)(70, 421)(71, 491)(72, 497)(73, 422)(74, 426)(75, 513)(76, 424)(77, 509)(78, 517)(79, 425)(80, 498)(81, 504)(82, 488)(83, 428)(84, 523)(85, 526)(86, 429)(87, 450)(88, 530)(89, 533)(90, 431)(91, 432)(92, 535)(93, 538)(94, 433)(95, 540)(96, 542)(97, 436)(98, 545)(99, 446)(100, 437)(101, 548)(102, 537)(103, 439)(104, 466)(105, 527)(106, 440)(107, 455)(108, 551)(109, 442)(110, 543)(111, 555)(112, 443)(113, 456)(114, 464)(115, 445)(116, 557)(117, 447)(118, 549)(119, 449)(120, 465)(121, 453)(122, 544)(123, 552)(124, 452)(125, 461)(126, 541)(127, 562)(128, 550)(129, 459)(130, 547)(131, 529)(132, 525)(133, 462)(134, 559)(135, 561)(136, 558)(137, 539)(138, 563)(139, 468)(140, 536)(141, 516)(142, 469)(143, 489)(144, 564)(145, 515)(146, 472)(147, 566)(148, 567)(149, 473)(150, 569)(151, 476)(152, 524)(153, 486)(154, 477)(155, 521)(156, 479)(157, 510)(158, 480)(159, 494)(160, 506)(161, 482)(162, 570)(163, 514)(164, 485)(165, 502)(166, 512)(167, 492)(168, 507)(169, 571)(170, 568)(171, 495)(172, 573)(173, 500)(174, 520)(175, 518)(176, 574)(177, 519)(178, 511)(179, 522)(180, 528)(181, 575)(182, 531)(183, 532)(184, 554)(185, 534)(186, 546)(187, 553)(188, 576)(189, 556)(190, 560)(191, 565)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3051
Graph:: simple bipartite
	v = 200 e = 384 f = 144
	degree seq :: [ 2^192, 48^8 ]

E21.3055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-2 * Y1 * R * Y2^-1)^2, (Y2^-2 * Y1)^4, Y2^-1 * Y1 * Y2^3 * Y1 * Y2 * Y1 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2 * R * Y2^-4 * R * Y2 * Y1 * Y2^-1, Y1 * Y2^9 * Y1 * Y2^-3 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 59, 251)(33, 225, 63, 255)(34, 226, 62, 254)(35, 227, 66, 258)(37, 229, 70, 262)(39, 231, 74, 266)(40, 232, 76, 268)(41, 233, 78, 270)(42, 234, 72, 264)(44, 236, 83, 275)(45, 237, 85, 277)(47, 239, 89, 281)(48, 240, 88, 280)(49, 241, 92, 284)(51, 243, 96, 288)(53, 245, 100, 292)(54, 246, 102, 294)(55, 247, 104, 296)(56, 248, 98, 290)(58, 250, 109, 301)(60, 252, 94, 286)(61, 253, 113, 305)(64, 256, 107, 299)(65, 257, 106, 298)(67, 259, 120, 312)(68, 260, 86, 278)(69, 261, 101, 293)(71, 263, 125, 317)(73, 265, 127, 319)(75, 267, 95, 287)(77, 269, 108, 300)(79, 271, 133, 325)(80, 272, 91, 283)(81, 273, 90, 282)(82, 274, 103, 295)(84, 276, 139, 331)(87, 279, 143, 335)(93, 285, 150, 342)(97, 289, 155, 347)(99, 291, 157, 349)(105, 297, 163, 355)(110, 302, 169, 361)(111, 303, 141, 333)(112, 304, 146, 338)(114, 306, 162, 354)(115, 307, 145, 337)(116, 308, 142, 334)(117, 309, 172, 364)(118, 310, 152, 344)(119, 311, 158, 350)(121, 313, 166, 358)(122, 314, 148, 340)(123, 315, 164, 356)(124, 316, 171, 363)(126, 318, 170, 362)(128, 320, 149, 341)(129, 321, 161, 353)(130, 322, 179, 371)(131, 323, 159, 351)(132, 324, 144, 336)(134, 326, 153, 345)(135, 327, 167, 359)(136, 328, 151, 343)(137, 329, 165, 357)(138, 330, 178, 370)(140, 332, 156, 348)(147, 339, 181, 373)(154, 346, 180, 372)(160, 352, 188, 380)(168, 360, 187, 379)(173, 365, 183, 375)(174, 366, 182, 374)(175, 367, 184, 376)(176, 368, 186, 378)(177, 369, 185, 377)(189, 381, 192, 384)(190, 382, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 455, 647, 510, 702, 537, 729, 479, 671, 434, 626, 478, 670, 536, 728, 568, 760, 551, 743, 492, 684, 441, 633, 491, 683, 550, 742, 524, 716, 468, 660, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 481, 673, 540, 732, 507, 699, 453, 645, 420, 612, 452, 644, 506, 698, 559, 751, 521, 713, 466, 658, 427, 619, 465, 657, 520, 712, 554, 746, 494, 686, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 444, 636, 476, 668, 533, 725, 523, 715, 560, 752, 508, 700, 454, 646, 484, 676, 543, 735, 519, 711, 464, 656, 426, 618, 405, 597, 425, 617, 463, 655, 518, 710, 557, 749, 501, 693, 448, 640, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 459, 651, 514, 706, 558, 750, 505, 697, 451, 643, 419, 611, 401, 593, 418, 610, 449, 641, 502, 694, 530, 722, 473, 665, 467, 659, 522, 714, 561, 753, 509, 701, 546, 738, 488, 680, 461, 653, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 470, 662, 450, 642, 503, 695, 553, 745, 569, 761, 538, 730, 480, 672, 458, 650, 513, 705, 549, 741, 490, 682, 440, 632, 413, 605, 439, 631, 489, 681, 548, 740, 566, 758, 531, 723, 474, 666, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 485, 677, 544, 736, 567, 759, 535, 727, 477, 669, 433, 625, 409, 601, 432, 624, 475, 667, 532, 724, 500, 692, 447, 639, 493, 685, 552, 744, 570, 762, 539, 731, 516, 708, 462, 654, 487, 679, 438, 630, 412, 604)(416, 608, 445, 637, 498, 690, 555, 747, 573, 765, 563, 755, 517, 709, 527, 719, 496, 688, 443, 635, 495, 687, 460, 652, 515, 707, 541, 733, 504, 696, 556, 748, 574, 766, 562, 754, 512, 704, 457, 649, 422, 614, 456, 648, 499, 691, 446, 638)(430, 622, 471, 663, 528, 720, 564, 756, 575, 767, 572, 764, 547, 739, 497, 689, 526, 718, 469, 661, 525, 717, 486, 678, 545, 737, 511, 703, 534, 726, 565, 757, 576, 768, 571, 763, 542, 734, 483, 675, 436, 628, 482, 674, 529, 721, 472, 664)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 443)(32, 400)(33, 447)(34, 446)(35, 450)(36, 402)(37, 454)(38, 403)(39, 458)(40, 460)(41, 462)(42, 456)(43, 406)(44, 467)(45, 469)(46, 408)(47, 473)(48, 472)(49, 476)(50, 410)(51, 480)(52, 411)(53, 484)(54, 486)(55, 488)(56, 482)(57, 414)(58, 493)(59, 415)(60, 478)(61, 497)(62, 418)(63, 417)(64, 491)(65, 490)(66, 419)(67, 504)(68, 470)(69, 485)(70, 421)(71, 509)(72, 426)(73, 511)(74, 423)(75, 479)(76, 424)(77, 492)(78, 425)(79, 517)(80, 475)(81, 474)(82, 487)(83, 428)(84, 523)(85, 429)(86, 452)(87, 527)(88, 432)(89, 431)(90, 465)(91, 464)(92, 433)(93, 534)(94, 444)(95, 459)(96, 435)(97, 539)(98, 440)(99, 541)(100, 437)(101, 453)(102, 438)(103, 466)(104, 439)(105, 547)(106, 449)(107, 448)(108, 461)(109, 442)(110, 553)(111, 525)(112, 530)(113, 445)(114, 546)(115, 529)(116, 526)(117, 556)(118, 536)(119, 542)(120, 451)(121, 550)(122, 532)(123, 548)(124, 555)(125, 455)(126, 554)(127, 457)(128, 533)(129, 545)(130, 563)(131, 543)(132, 528)(133, 463)(134, 537)(135, 551)(136, 535)(137, 549)(138, 562)(139, 468)(140, 540)(141, 495)(142, 500)(143, 471)(144, 516)(145, 499)(146, 496)(147, 565)(148, 506)(149, 512)(150, 477)(151, 520)(152, 502)(153, 518)(154, 564)(155, 481)(156, 524)(157, 483)(158, 503)(159, 515)(160, 572)(161, 513)(162, 498)(163, 489)(164, 507)(165, 521)(166, 505)(167, 519)(168, 571)(169, 494)(170, 510)(171, 508)(172, 501)(173, 567)(174, 566)(175, 568)(176, 570)(177, 569)(178, 522)(179, 514)(180, 538)(181, 531)(182, 558)(183, 557)(184, 559)(185, 561)(186, 560)(187, 552)(188, 544)(189, 576)(190, 575)(191, 574)(192, 573)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3056
Graph:: bipartite
	v = 104 e = 384 f = 240
	degree seq :: [ 4^96, 48^8 ]

E21.3056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 960>)
Aut   = $<384, 18019>$ (small group id <384, 18019>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y3^2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3, (Y3^2 * Y1^-1)^4, Y3^3 * Y1^-1 * Y3^-9 * Y1, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 61, 253, 29, 221)(17, 209, 37, 229, 75, 267, 39, 231)(20, 212, 43, 235, 83, 275, 41, 233)(22, 214, 47, 239, 90, 282, 45, 237)(24, 216, 51, 243, 68, 260, 53, 245)(26, 218, 46, 238, 70, 262, 42, 234)(27, 219, 56, 248, 102, 294, 58, 250)(30, 222, 59, 251, 72, 264, 40, 232)(32, 224, 65, 257, 74, 266, 63, 255)(33, 225, 67, 259, 115, 307, 69, 261)(36, 228, 73, 265, 121, 313, 71, 263)(38, 230, 77, 269, 57, 249, 79, 271)(44, 236, 87, 279, 48, 240, 85, 277)(50, 242, 95, 287, 116, 308, 94, 286)(52, 244, 98, 290, 141, 333, 100, 292)(54, 246, 81, 273, 122, 314, 92, 284)(55, 247, 84, 276, 123, 315, 103, 295)(60, 252, 107, 299, 120, 312, 109, 301)(62, 254, 86, 278, 118, 310, 106, 298)(64, 256, 80, 272, 119, 311, 91, 283)(66, 258, 113, 305, 127, 319, 112, 304)(76, 268, 126, 318, 104, 296, 125, 317)(78, 270, 129, 321, 108, 300, 131, 323)(82, 274, 133, 325, 89, 281, 135, 327)(88, 280, 139, 331, 157, 349, 138, 330)(93, 285, 142, 334, 96, 288, 136, 328)(97, 289, 134, 326, 159, 351, 117, 309)(99, 291, 147, 339, 171, 363, 140, 332)(101, 293, 132, 324, 111, 303, 137, 329)(105, 297, 128, 320, 160, 352, 151, 343)(110, 302, 124, 316, 161, 353, 149, 341)(114, 306, 150, 342, 180, 372, 155, 347)(130, 322, 166, 358, 185, 377, 162, 354)(143, 335, 158, 350, 182, 374, 174, 366)(144, 336, 168, 360, 145, 337, 169, 361)(146, 338, 170, 362, 181, 373, 173, 365)(148, 340, 172, 364, 183, 375, 175, 367)(152, 344, 165, 357, 153, 345, 179, 371)(154, 346, 163, 355, 184, 376, 164, 356)(156, 348, 167, 359, 186, 378, 177, 369)(176, 368, 189, 381, 191, 383, 187, 379)(178, 370, 190, 382, 192, 384, 188, 380)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 441)(28, 443)(29, 444)(30, 397)(31, 447)(32, 398)(33, 452)(34, 454)(35, 455)(36, 400)(37, 402)(38, 462)(39, 464)(40, 465)(41, 466)(42, 403)(43, 469)(44, 404)(45, 473)(46, 405)(47, 471)(48, 406)(49, 478)(50, 407)(51, 409)(52, 483)(53, 453)(54, 485)(55, 486)(56, 412)(57, 489)(58, 487)(59, 490)(60, 492)(61, 475)(62, 414)(63, 494)(64, 415)(65, 496)(66, 416)(67, 418)(68, 501)(69, 502)(70, 503)(71, 504)(72, 419)(73, 449)(74, 420)(75, 509)(76, 421)(77, 423)(78, 514)(79, 442)(80, 516)(81, 433)(82, 518)(83, 446)(84, 426)(85, 520)(86, 427)(87, 522)(88, 428)(89, 525)(90, 506)(91, 430)(92, 431)(93, 432)(94, 523)(95, 526)(96, 434)(97, 435)(98, 437)(99, 532)(100, 517)(101, 507)(102, 510)(103, 521)(104, 440)(105, 534)(106, 499)(107, 445)(108, 536)(109, 505)(110, 537)(111, 448)(112, 538)(113, 539)(114, 450)(115, 479)(116, 451)(117, 542)(118, 495)(119, 459)(120, 544)(121, 468)(122, 456)(123, 457)(124, 458)(125, 545)(126, 497)(127, 460)(128, 461)(129, 463)(130, 551)(131, 493)(132, 476)(133, 467)(134, 552)(135, 474)(136, 553)(137, 470)(138, 554)(139, 555)(140, 472)(141, 557)(142, 558)(143, 477)(144, 480)(145, 481)(146, 482)(147, 484)(148, 549)(149, 488)(150, 561)(151, 491)(152, 560)(153, 559)(154, 556)(155, 562)(156, 498)(157, 500)(158, 567)(159, 519)(160, 568)(161, 569)(162, 508)(163, 511)(164, 512)(165, 513)(166, 515)(167, 529)(168, 571)(169, 540)(170, 570)(171, 572)(172, 524)(173, 573)(174, 574)(175, 527)(176, 528)(177, 530)(178, 531)(179, 533)(180, 535)(181, 541)(182, 543)(183, 548)(184, 575)(185, 576)(186, 546)(187, 547)(188, 550)(189, 563)(190, 564)(191, 565)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3055
Graph:: simple bipartite
	v = 240 e = 384 f = 104
	degree seq :: [ 2^192, 8^48 ]

E21.3057 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, (T1^-1 * T2)^4, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 80, 97, 113, 129, 145, 161, 160, 144, 128, 112, 96, 79, 60, 40, 22, 10, 4)(3, 7, 15, 31, 51, 71, 89, 105, 121, 137, 153, 169, 176, 165, 147, 130, 117, 99, 81, 65, 43, 24, 18, 8)(6, 13, 27, 21, 39, 59, 78, 95, 111, 127, 143, 159, 175, 179, 163, 146, 133, 115, 98, 84, 63, 42, 30, 14)(9, 19, 37, 57, 76, 93, 109, 125, 141, 157, 173, 177, 162, 149, 131, 114, 101, 82, 62, 46, 26, 12, 25, 20)(16, 33, 53, 36, 45, 67, 86, 100, 118, 135, 148, 166, 181, 187, 184, 170, 156, 139, 122, 108, 91, 72, 55, 34)(17, 35, 50, 64, 85, 103, 116, 134, 151, 164, 180, 189, 183, 171, 154, 138, 123, 106, 90, 73, 52, 32, 48, 28)(29, 49, 68, 83, 102, 119, 132, 150, 167, 178, 188, 186, 174, 158, 142, 126, 110, 94, 77, 58, 38, 47, 66, 44)(54, 75, 92, 107, 124, 140, 155, 172, 185, 191, 192, 190, 182, 168, 152, 136, 120, 104, 88, 70, 56, 74, 87, 69)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 38)(20, 33)(22, 31)(23, 42)(25, 44)(26, 45)(27, 47)(30, 50)(34, 54)(35, 56)(37, 55)(39, 52)(40, 57)(41, 62)(43, 64)(46, 68)(48, 69)(49, 70)(51, 72)(53, 74)(58, 75)(59, 77)(60, 78)(61, 81)(63, 83)(65, 86)(66, 87)(67, 88)(71, 90)(73, 92)(76, 94)(79, 89)(80, 98)(82, 100)(84, 103)(85, 104)(91, 107)(93, 108)(95, 106)(96, 109)(97, 114)(99, 116)(101, 119)(102, 120)(105, 122)(110, 124)(111, 126)(112, 127)(113, 130)(115, 132)(117, 135)(118, 136)(121, 138)(123, 140)(125, 142)(128, 137)(129, 146)(131, 148)(133, 151)(134, 152)(139, 155)(141, 156)(143, 154)(144, 157)(145, 162)(147, 164)(149, 167)(150, 168)(153, 170)(158, 172)(159, 174)(160, 175)(161, 176)(163, 178)(165, 181)(166, 182)(169, 183)(171, 185)(173, 186)(177, 187)(179, 189)(180, 190)(184, 191)(188, 192)
	local type(s) :: { ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3058
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 96 f = 48
	degree seq :: [ 24^8 ]

E21.3058 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 24})
Quotient :: regular
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, (T1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 33, 25)(15, 26, 32, 27)(21, 35, 30, 36)(22, 37, 29, 38)(23, 39, 44, 34)(40, 49, 43, 50)(41, 51, 42, 52)(45, 53, 48, 54)(46, 55, 47, 56)(57, 65, 60, 66)(58, 67, 59, 68)(61, 69, 64, 70)(62, 71, 63, 72)(73, 113, 76, 111)(74, 114, 75, 112)(77, 141, 120, 143)(78, 144, 115, 146)(79, 147, 107, 145)(80, 149, 110, 151)(81, 152, 99, 154)(82, 155, 104, 153)(83, 157, 94, 158)(84, 159, 95, 160)(85, 161, 96, 142)(86, 163, 89, 150)(87, 165, 92, 166)(88, 167, 93, 168)(90, 170, 108, 169)(91, 164, 109, 148)(97, 174, 105, 173)(98, 162, 106, 156)(100, 135, 102, 134)(101, 136, 103, 133)(116, 179, 118, 180)(117, 172, 119, 171)(121, 177, 123, 178)(122, 176, 124, 175)(125, 183, 127, 184)(126, 182, 128, 181)(129, 187, 131, 188)(130, 186, 132, 185)(137, 191, 139, 192)(138, 190, 140, 189)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 40)(25, 41)(26, 42)(27, 43)(28, 39)(31, 44)(35, 45)(36, 46)(37, 47)(38, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 133)(70, 134)(71, 135)(72, 136)(77, 142)(78, 145)(79, 148)(80, 150)(81, 153)(82, 156)(83, 143)(84, 152)(85, 162)(86, 164)(87, 146)(88, 149)(89, 169)(90, 171)(91, 172)(92, 151)(93, 144)(94, 154)(95, 141)(96, 173)(97, 175)(98, 176)(99, 161)(100, 158)(101, 159)(102, 160)(103, 157)(104, 174)(105, 177)(106, 178)(107, 170)(108, 179)(109, 180)(110, 147)(111, 166)(112, 167)(113, 168)(114, 165)(115, 163)(116, 181)(117, 182)(118, 183)(119, 184)(120, 155)(121, 185)(122, 186)(123, 187)(124, 188)(125, 189)(126, 190)(127, 191)(128, 192)(129, 140)(130, 138)(131, 139)(132, 137)
	local type(s) :: { ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3057
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 8
	degree seq :: [ 4^48 ]

E21.3059 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 43, 27)(20, 34, 48, 35)(23, 39, 30, 40)(25, 41, 28, 42)(31, 44, 38, 45)(33, 46, 36, 47)(49, 57, 52, 58)(50, 59, 51, 60)(53, 61, 56, 62)(54, 63, 55, 64)(65, 73, 68, 74)(66, 75, 67, 76)(69, 113, 72, 119)(70, 115, 71, 117)(77, 121, 86, 123)(78, 124, 85, 126)(79, 127, 81, 129)(80, 130, 100, 132)(82, 134, 84, 136)(83, 137, 99, 139)(87, 143, 89, 145)(88, 146, 91, 148)(90, 150, 92, 152)(93, 155, 95, 157)(94, 158, 97, 160)(96, 162, 98, 164)(101, 169, 102, 171)(103, 173, 104, 175)(105, 177, 106, 179)(107, 181, 108, 183)(109, 185, 110, 187)(111, 189, 112, 191)(114, 192, 116, 188)(118, 190, 120, 186)(122, 184, 168, 180)(125, 176, 167, 172)(128, 156, 153, 163)(131, 182, 142, 178)(133, 166, 147, 161)(135, 144, 165, 151)(138, 174, 141, 170)(140, 154, 159, 149)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 227)(218, 229)(219, 224)(221, 226)(231, 241)(232, 242)(233, 243)(234, 244)(235, 240)(236, 245)(237, 246)(238, 247)(239, 248)(249, 257)(250, 258)(251, 259)(252, 260)(253, 261)(254, 262)(255, 263)(256, 264)(265, 272)(266, 278)(267, 269)(268, 292)(270, 307)(271, 315)(273, 324)(274, 318)(275, 305)(276, 331)(277, 311)(279, 321)(280, 322)(281, 340)(282, 319)(283, 313)(284, 338)(285, 328)(286, 329)(287, 352)(288, 326)(289, 316)(290, 350)(291, 309)(293, 337)(294, 342)(295, 335)(296, 344)(297, 349)(298, 354)(299, 347)(300, 356)(301, 363)(302, 365)(303, 361)(304, 367)(306, 371)(308, 373)(310, 369)(312, 375)(314, 377)(317, 384)(320, 374)(323, 379)(325, 376)(327, 366)(330, 380)(332, 368)(333, 382)(334, 381)(336, 353)(339, 370)(341, 348)(343, 355)(345, 372)(346, 358)(351, 362)(357, 364)(359, 378)(360, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 48, 48 ), ( 48^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3063
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 8
	degree seq :: [ 2^96, 4^48 ]

E21.3060 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-2 * T1)^2, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 43, 60, 76, 92, 108, 124, 140, 156, 172, 160, 144, 128, 112, 96, 80, 64, 47, 29, 14, 5)(2, 7, 17, 35, 54, 70, 86, 102, 118, 134, 150, 166, 181, 168, 152, 136, 120, 104, 88, 72, 56, 38, 20, 8)(4, 12, 26, 45, 62, 78, 94, 110, 126, 142, 158, 174, 184, 170, 154, 138, 122, 106, 90, 74, 58, 41, 22, 9)(6, 15, 30, 49, 66, 82, 98, 114, 130, 146, 162, 177, 188, 179, 164, 148, 132, 116, 100, 84, 68, 52, 33, 16)(11, 25, 13, 28, 46, 63, 79, 95, 111, 127, 143, 159, 175, 185, 171, 155, 139, 123, 107, 91, 75, 59, 42, 23)(18, 36, 19, 37, 55, 71, 87, 103, 119, 135, 151, 167, 182, 190, 180, 165, 149, 133, 117, 101, 85, 69, 53, 34)(21, 39, 57, 73, 89, 105, 121, 137, 153, 169, 183, 191, 186, 173, 157, 141, 125, 109, 93, 77, 61, 44, 27, 40)(31, 50, 32, 51, 67, 83, 99, 115, 131, 147, 163, 178, 189, 192, 187, 176, 161, 145, 129, 113, 97, 81, 65, 48)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 223, 207)(202, 215, 229, 212)(204, 208, 224, 219)(206, 218, 236, 220)(209, 226, 243, 225)(214, 222, 240, 231)(216, 230, 241, 233)(217, 232, 242, 228)(221, 227, 244, 237)(234, 249, 257, 247)(235, 250, 265, 251)(238, 253, 259, 245)(239, 255, 261, 246)(248, 263, 273, 258)(252, 267, 279, 264)(254, 260, 275, 269)(256, 270, 285, 271)(262, 277, 291, 276)(266, 274, 289, 281)(268, 280, 290, 282)(272, 278, 292, 286)(283, 297, 305, 295)(284, 298, 313, 299)(287, 301, 307, 293)(288, 303, 309, 294)(296, 311, 321, 306)(300, 315, 327, 312)(302, 308, 323, 317)(304, 318, 333, 319)(310, 325, 339, 324)(314, 322, 337, 329)(316, 328, 338, 330)(320, 326, 340, 334)(331, 345, 353, 343)(332, 346, 361, 347)(335, 349, 355, 341)(336, 351, 357, 342)(344, 359, 368, 354)(348, 363, 374, 360)(350, 356, 370, 365)(352, 366, 378, 367)(358, 372, 381, 371)(362, 369, 379, 375)(364, 373, 380, 376)(377, 383, 384, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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) :: { ( 4^4 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3064
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 192 f = 96
	degree seq :: [ 4^48, 24^8 ]

E21.3061 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 24})
Quotient :: edge
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-3 * T2)^2, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 38)(20, 33)(22, 31)(23, 42)(25, 44)(26, 45)(27, 47)(30, 50)(34, 54)(35, 56)(37, 55)(39, 52)(40, 57)(41, 62)(43, 64)(46, 68)(48, 69)(49, 70)(51, 72)(53, 74)(58, 75)(59, 77)(60, 78)(61, 81)(63, 83)(65, 86)(66, 87)(67, 88)(71, 90)(73, 92)(76, 94)(79, 89)(80, 98)(82, 100)(84, 103)(85, 104)(91, 107)(93, 108)(95, 106)(96, 109)(97, 114)(99, 116)(101, 119)(102, 120)(105, 122)(110, 124)(111, 126)(112, 127)(113, 130)(115, 132)(117, 135)(118, 136)(121, 138)(123, 140)(125, 142)(128, 137)(129, 146)(131, 148)(133, 151)(134, 152)(139, 155)(141, 156)(143, 154)(144, 157)(145, 162)(147, 164)(149, 167)(150, 168)(153, 170)(158, 172)(159, 174)(160, 175)(161, 176)(163, 178)(165, 181)(166, 182)(169, 183)(171, 185)(173, 186)(177, 187)(179, 189)(180, 190)(184, 191)(188, 192)(193, 194, 197, 203, 215, 233, 253, 272, 289, 305, 321, 337, 353, 352, 336, 320, 304, 288, 271, 252, 232, 214, 202, 196)(195, 199, 207, 223, 243, 263, 281, 297, 313, 329, 345, 361, 368, 357, 339, 322, 309, 291, 273, 257, 235, 216, 210, 200)(198, 205, 219, 213, 231, 251, 270, 287, 303, 319, 335, 351, 367, 371, 355, 338, 325, 307, 290, 276, 255, 234, 222, 206)(201, 211, 229, 249, 268, 285, 301, 317, 333, 349, 365, 369, 354, 341, 323, 306, 293, 274, 254, 238, 218, 204, 217, 212)(208, 225, 245, 228, 237, 259, 278, 292, 310, 327, 340, 358, 373, 379, 376, 362, 348, 331, 314, 300, 283, 264, 247, 226)(209, 227, 242, 256, 277, 295, 308, 326, 343, 356, 372, 381, 375, 363, 346, 330, 315, 298, 282, 265, 244, 224, 240, 220)(221, 241, 260, 275, 294, 311, 324, 342, 359, 370, 380, 378, 366, 350, 334, 318, 302, 286, 269, 250, 230, 239, 258, 236)(246, 267, 284, 299, 316, 332, 347, 364, 377, 383, 384, 382, 374, 360, 344, 328, 312, 296, 280, 262, 248, 266, 279, 261)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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, 8 ), ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E21.3062
Transitivity :: ET+
Graph:: simple bipartite
	v = 104 e = 192 f = 48
	degree seq :: [ 2^96, 24^8 ]

E21.3062 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2 * T1)^24 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 43, 235, 27, 219)(20, 212, 34, 226, 48, 240, 35, 227)(23, 215, 39, 231, 30, 222, 40, 232)(25, 217, 41, 233, 28, 220, 42, 234)(31, 223, 44, 236, 38, 230, 45, 237)(33, 225, 46, 238, 36, 228, 47, 239)(49, 241, 57, 249, 52, 244, 58, 250)(50, 242, 59, 251, 51, 243, 60, 252)(53, 245, 61, 253, 56, 248, 62, 254)(54, 246, 63, 255, 55, 247, 64, 256)(65, 257, 73, 265, 68, 260, 74, 266)(66, 258, 75, 267, 67, 259, 76, 268)(69, 261, 82, 274, 72, 264, 89, 281)(70, 262, 104, 296, 71, 263, 77, 269)(78, 270, 115, 307, 94, 286, 117, 309)(79, 271, 119, 311, 95, 287, 113, 305)(80, 272, 128, 320, 92, 284, 130, 322)(81, 273, 121, 313, 93, 285, 133, 325)(83, 275, 136, 328, 85, 277, 138, 330)(84, 276, 123, 315, 86, 278, 125, 317)(87, 279, 146, 338, 90, 282, 148, 340)(88, 280, 127, 319, 91, 283, 131, 323)(96, 288, 143, 335, 98, 290, 141, 333)(97, 289, 135, 327, 99, 291, 139, 331)(100, 292, 154, 346, 102, 294, 152, 344)(101, 293, 145, 337, 103, 295, 149, 341)(105, 297, 166, 358, 107, 299, 164, 356)(106, 298, 160, 352, 108, 300, 162, 354)(109, 301, 174, 366, 111, 303, 172, 364)(110, 302, 168, 360, 112, 304, 170, 362)(114, 306, 183, 375, 118, 310, 181, 373)(116, 308, 177, 369, 120, 312, 179, 371)(122, 314, 187, 379, 151, 343, 185, 377)(124, 316, 188, 380, 159, 351, 190, 382)(126, 318, 192, 384, 158, 350, 186, 378)(129, 321, 180, 372, 157, 349, 182, 374)(132, 324, 184, 376, 156, 348, 178, 370)(134, 326, 191, 383, 176, 368, 189, 381)(137, 329, 169, 361, 144, 336, 175, 367)(140, 332, 173, 365, 142, 334, 171, 363)(147, 339, 161, 353, 155, 347, 167, 359)(150, 342, 165, 357, 153, 345, 163, 355)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 227)(25, 206)(26, 229)(27, 224)(28, 208)(29, 226)(30, 209)(31, 210)(32, 219)(33, 211)(34, 221)(35, 216)(36, 213)(37, 218)(38, 214)(39, 241)(40, 242)(41, 243)(42, 244)(43, 240)(44, 245)(45, 246)(46, 247)(47, 248)(48, 235)(49, 231)(50, 232)(51, 233)(52, 234)(53, 236)(54, 237)(55, 238)(56, 239)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 305)(74, 307)(75, 309)(76, 311)(77, 313)(78, 315)(79, 317)(80, 319)(81, 323)(82, 325)(83, 327)(84, 331)(85, 333)(86, 335)(87, 337)(88, 341)(89, 320)(90, 344)(91, 346)(92, 340)(93, 338)(94, 330)(95, 328)(96, 352)(97, 354)(98, 356)(99, 358)(100, 360)(101, 362)(102, 364)(103, 366)(104, 322)(105, 369)(106, 371)(107, 373)(108, 375)(109, 377)(110, 379)(111, 381)(112, 383)(113, 265)(114, 382)(115, 266)(116, 380)(117, 267)(118, 378)(119, 268)(120, 384)(121, 269)(122, 376)(123, 270)(124, 365)(125, 271)(126, 367)(127, 272)(128, 281)(129, 357)(130, 296)(131, 273)(132, 359)(133, 274)(134, 374)(135, 275)(136, 287)(137, 342)(138, 286)(139, 276)(140, 339)(141, 277)(142, 345)(143, 278)(144, 347)(145, 279)(146, 285)(147, 332)(148, 284)(149, 280)(150, 329)(151, 372)(152, 282)(153, 334)(154, 283)(155, 336)(156, 355)(157, 353)(158, 363)(159, 361)(160, 288)(161, 349)(162, 289)(163, 348)(164, 290)(165, 321)(166, 291)(167, 324)(168, 292)(169, 351)(170, 293)(171, 350)(172, 294)(173, 316)(174, 295)(175, 318)(176, 370)(177, 297)(178, 368)(179, 298)(180, 343)(181, 299)(182, 326)(183, 300)(184, 314)(185, 301)(186, 310)(187, 302)(188, 308)(189, 303)(190, 306)(191, 304)(192, 312)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3061
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 104
	degree seq :: [ 8^48 ]

E21.3063 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-2 * T1)^2, T2^24 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 43, 235, 60, 252, 76, 268, 92, 284, 108, 300, 124, 316, 140, 332, 156, 348, 172, 364, 160, 352, 144, 336, 128, 320, 112, 304, 96, 288, 80, 272, 64, 256, 47, 239, 29, 221, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 35, 227, 54, 246, 70, 262, 86, 278, 102, 294, 118, 310, 134, 326, 150, 342, 166, 358, 181, 373, 168, 360, 152, 344, 136, 328, 120, 312, 104, 296, 88, 280, 72, 264, 56, 248, 38, 230, 20, 212, 8, 200)(4, 196, 12, 204, 26, 218, 45, 237, 62, 254, 78, 270, 94, 286, 110, 302, 126, 318, 142, 334, 158, 350, 174, 366, 184, 376, 170, 362, 154, 346, 138, 330, 122, 314, 106, 298, 90, 282, 74, 266, 58, 250, 41, 233, 22, 214, 9, 201)(6, 198, 15, 207, 30, 222, 49, 241, 66, 258, 82, 274, 98, 290, 114, 306, 130, 322, 146, 338, 162, 354, 177, 369, 188, 380, 179, 371, 164, 356, 148, 340, 132, 324, 116, 308, 100, 292, 84, 276, 68, 260, 52, 244, 33, 225, 16, 208)(11, 203, 25, 217, 13, 205, 28, 220, 46, 238, 63, 255, 79, 271, 95, 287, 111, 303, 127, 319, 143, 335, 159, 351, 175, 367, 185, 377, 171, 363, 155, 347, 139, 331, 123, 315, 107, 299, 91, 283, 75, 267, 59, 251, 42, 234, 23, 215)(18, 210, 36, 228, 19, 211, 37, 229, 55, 247, 71, 263, 87, 279, 103, 295, 119, 311, 135, 327, 151, 343, 167, 359, 182, 374, 190, 382, 180, 372, 165, 357, 149, 341, 133, 325, 117, 309, 101, 293, 85, 277, 69, 261, 53, 245, 34, 226)(21, 213, 39, 231, 57, 249, 73, 265, 89, 281, 105, 297, 121, 313, 137, 329, 153, 345, 169, 361, 183, 375, 191, 383, 186, 378, 173, 365, 157, 349, 141, 333, 125, 317, 109, 301, 93, 285, 77, 269, 61, 253, 44, 236, 27, 219, 40, 232)(31, 223, 50, 242, 32, 224, 51, 243, 67, 259, 83, 275, 99, 291, 115, 307, 131, 323, 147, 339, 163, 355, 178, 370, 189, 381, 192, 384, 187, 379, 176, 368, 161, 353, 145, 337, 129, 321, 113, 305, 97, 289, 81, 273, 65, 257, 48, 240)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 218)(15, 200)(16, 224)(17, 226)(18, 199)(19, 223)(20, 202)(21, 203)(22, 222)(23, 229)(24, 230)(25, 232)(26, 236)(27, 204)(28, 206)(29, 227)(30, 240)(31, 207)(32, 219)(33, 209)(34, 243)(35, 244)(36, 217)(37, 212)(38, 241)(39, 214)(40, 242)(41, 216)(42, 249)(43, 250)(44, 220)(45, 221)(46, 253)(47, 255)(48, 231)(49, 233)(50, 228)(51, 225)(52, 237)(53, 238)(54, 239)(55, 234)(56, 263)(57, 257)(58, 265)(59, 235)(60, 267)(61, 259)(62, 260)(63, 261)(64, 270)(65, 247)(66, 248)(67, 245)(68, 275)(69, 246)(70, 277)(71, 273)(72, 252)(73, 251)(74, 274)(75, 279)(76, 280)(77, 254)(78, 285)(79, 256)(80, 278)(81, 258)(82, 289)(83, 269)(84, 262)(85, 291)(86, 292)(87, 264)(88, 290)(89, 266)(90, 268)(91, 297)(92, 298)(93, 271)(94, 272)(95, 301)(96, 303)(97, 281)(98, 282)(99, 276)(100, 286)(101, 287)(102, 288)(103, 283)(104, 311)(105, 305)(106, 313)(107, 284)(108, 315)(109, 307)(110, 308)(111, 309)(112, 318)(113, 295)(114, 296)(115, 293)(116, 323)(117, 294)(118, 325)(119, 321)(120, 300)(121, 299)(122, 322)(123, 327)(124, 328)(125, 302)(126, 333)(127, 304)(128, 326)(129, 306)(130, 337)(131, 317)(132, 310)(133, 339)(134, 340)(135, 312)(136, 338)(137, 314)(138, 316)(139, 345)(140, 346)(141, 319)(142, 320)(143, 349)(144, 351)(145, 329)(146, 330)(147, 324)(148, 334)(149, 335)(150, 336)(151, 331)(152, 359)(153, 353)(154, 361)(155, 332)(156, 363)(157, 355)(158, 356)(159, 357)(160, 366)(161, 343)(162, 344)(163, 341)(164, 370)(165, 342)(166, 372)(167, 368)(168, 348)(169, 347)(170, 369)(171, 374)(172, 373)(173, 350)(174, 378)(175, 352)(176, 354)(177, 379)(178, 365)(179, 358)(180, 381)(181, 380)(182, 360)(183, 362)(184, 364)(185, 383)(186, 367)(187, 375)(188, 376)(189, 371)(190, 377)(191, 384)(192, 382)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3059
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 192 f = 144
	degree seq :: [ 48^8 ]

E21.3064 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 24})
Quotient :: loop
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-3 * T2)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 33, 225)(22, 214, 31, 223)(23, 215, 42, 234)(25, 217, 44, 236)(26, 218, 45, 237)(27, 219, 47, 239)(30, 222, 50, 242)(34, 226, 54, 246)(35, 227, 56, 248)(37, 229, 55, 247)(39, 231, 52, 244)(40, 232, 57, 249)(41, 233, 62, 254)(43, 235, 64, 256)(46, 238, 68, 260)(48, 240, 69, 261)(49, 241, 70, 262)(51, 243, 72, 264)(53, 245, 74, 266)(58, 250, 75, 267)(59, 251, 77, 269)(60, 252, 78, 270)(61, 253, 81, 273)(63, 255, 83, 275)(65, 257, 86, 278)(66, 258, 87, 279)(67, 259, 88, 280)(71, 263, 90, 282)(73, 265, 92, 284)(76, 268, 94, 286)(79, 271, 89, 281)(80, 272, 98, 290)(82, 274, 100, 292)(84, 276, 103, 295)(85, 277, 104, 296)(91, 283, 107, 299)(93, 285, 108, 300)(95, 287, 106, 298)(96, 288, 109, 301)(97, 289, 114, 306)(99, 291, 116, 308)(101, 293, 119, 311)(102, 294, 120, 312)(105, 297, 122, 314)(110, 302, 124, 316)(111, 303, 126, 318)(112, 304, 127, 319)(113, 305, 130, 322)(115, 307, 132, 324)(117, 309, 135, 327)(118, 310, 136, 328)(121, 313, 138, 330)(123, 315, 140, 332)(125, 317, 142, 334)(128, 320, 137, 329)(129, 321, 146, 338)(131, 323, 148, 340)(133, 325, 151, 343)(134, 326, 152, 344)(139, 331, 155, 347)(141, 333, 156, 348)(143, 335, 154, 346)(144, 336, 157, 349)(145, 337, 162, 354)(147, 339, 164, 356)(149, 341, 167, 359)(150, 342, 168, 360)(153, 345, 170, 362)(158, 350, 172, 364)(159, 351, 174, 366)(160, 352, 175, 367)(161, 353, 176, 368)(163, 355, 178, 370)(165, 357, 181, 373)(166, 358, 182, 374)(169, 361, 183, 375)(171, 363, 185, 377)(173, 365, 186, 378)(177, 369, 187, 379)(179, 371, 189, 381)(180, 372, 190, 382)(184, 376, 191, 383)(188, 380, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 229)(20, 201)(21, 231)(22, 202)(23, 233)(24, 210)(25, 212)(26, 204)(27, 213)(28, 209)(29, 241)(30, 206)(31, 243)(32, 240)(33, 245)(34, 208)(35, 242)(36, 237)(37, 249)(38, 239)(39, 251)(40, 214)(41, 253)(42, 222)(43, 216)(44, 221)(45, 259)(46, 218)(47, 258)(48, 220)(49, 260)(50, 256)(51, 263)(52, 224)(53, 228)(54, 267)(55, 226)(56, 266)(57, 268)(58, 230)(59, 270)(60, 232)(61, 272)(62, 238)(63, 234)(64, 277)(65, 235)(66, 236)(67, 278)(68, 275)(69, 246)(70, 248)(71, 281)(72, 247)(73, 244)(74, 279)(75, 284)(76, 285)(77, 250)(78, 287)(79, 252)(80, 289)(81, 257)(82, 254)(83, 294)(84, 255)(85, 295)(86, 292)(87, 261)(88, 262)(89, 297)(90, 265)(91, 264)(92, 299)(93, 301)(94, 269)(95, 303)(96, 271)(97, 305)(98, 276)(99, 273)(100, 310)(101, 274)(102, 311)(103, 308)(104, 280)(105, 313)(106, 282)(107, 316)(108, 283)(109, 317)(110, 286)(111, 319)(112, 288)(113, 321)(114, 293)(115, 290)(116, 326)(117, 291)(118, 327)(119, 324)(120, 296)(121, 329)(122, 300)(123, 298)(124, 332)(125, 333)(126, 302)(127, 335)(128, 304)(129, 337)(130, 309)(131, 306)(132, 342)(133, 307)(134, 343)(135, 340)(136, 312)(137, 345)(138, 315)(139, 314)(140, 347)(141, 349)(142, 318)(143, 351)(144, 320)(145, 353)(146, 325)(147, 322)(148, 358)(149, 323)(150, 359)(151, 356)(152, 328)(153, 361)(154, 330)(155, 364)(156, 331)(157, 365)(158, 334)(159, 367)(160, 336)(161, 352)(162, 341)(163, 338)(164, 372)(165, 339)(166, 373)(167, 370)(168, 344)(169, 368)(170, 348)(171, 346)(172, 377)(173, 369)(174, 350)(175, 371)(176, 357)(177, 354)(178, 380)(179, 355)(180, 381)(181, 379)(182, 360)(183, 363)(184, 362)(185, 383)(186, 366)(187, 376)(188, 378)(189, 375)(190, 374)(191, 384)(192, 382)
	local type(s) :: { ( 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3060
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 56
	degree seq :: [ 4^96 ]

E21.3065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|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 * Y1 * Y2^-1)^2, (Y2^-2 * Y1)^4, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 35, 227)(26, 218, 37, 229)(27, 219, 32, 224)(29, 221, 34, 226)(39, 231, 49, 241)(40, 232, 50, 242)(41, 233, 51, 243)(42, 234, 52, 244)(43, 235, 48, 240)(44, 236, 53, 245)(45, 237, 54, 246)(46, 238, 55, 247)(47, 239, 56, 248)(57, 249, 65, 257)(58, 250, 66, 258)(59, 251, 67, 259)(60, 252, 68, 260)(61, 253, 69, 261)(62, 254, 70, 262)(63, 255, 71, 263)(64, 256, 72, 264)(73, 265, 121, 313)(74, 266, 122, 314)(75, 267, 123, 315)(76, 268, 124, 316)(77, 269, 125, 317)(78, 270, 126, 318)(79, 271, 127, 319)(80, 272, 128, 320)(81, 273, 129, 321)(82, 274, 130, 322)(83, 275, 131, 323)(84, 276, 132, 324)(85, 277, 133, 325)(86, 278, 136, 328)(87, 279, 137, 329)(88, 280, 138, 330)(89, 281, 139, 331)(90, 282, 140, 332)(91, 283, 142, 334)(92, 284, 143, 335)(93, 285, 144, 336)(94, 286, 145, 337)(95, 287, 146, 338)(96, 288, 147, 339)(97, 289, 149, 341)(98, 290, 134, 326)(99, 291, 135, 327)(100, 292, 150, 342)(101, 293, 151, 343)(102, 294, 152, 344)(103, 295, 148, 340)(104, 296, 141, 333)(105, 297, 153, 345)(106, 298, 154, 346)(107, 299, 155, 347)(108, 300, 156, 348)(109, 301, 157, 349)(110, 302, 158, 350)(111, 303, 159, 351)(112, 304, 160, 352)(113, 305, 161, 353)(114, 306, 162, 354)(115, 307, 163, 355)(116, 308, 164, 356)(117, 309, 165, 357)(118, 310, 166, 358)(119, 311, 167, 359)(120, 312, 168, 360)(169, 361, 184, 376)(170, 362, 192, 384)(171, 363, 190, 382)(172, 364, 180, 372)(173, 365, 174, 366)(175, 367, 177, 369)(176, 368, 179, 371)(178, 370, 185, 377)(181, 373, 186, 378)(182, 374, 189, 381)(183, 375, 187, 379)(188, 380, 191, 383)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 427, 619, 411, 603)(404, 596, 418, 610, 432, 624, 419, 611)(407, 599, 423, 615, 414, 606, 424, 616)(409, 601, 425, 617, 412, 604, 426, 618)(415, 607, 428, 620, 422, 614, 429, 621)(417, 609, 430, 622, 420, 612, 431, 623)(433, 625, 441, 633, 436, 628, 442, 634)(434, 626, 443, 635, 435, 627, 444, 636)(437, 629, 445, 637, 440, 632, 446, 638)(438, 630, 447, 639, 439, 631, 448, 640)(449, 641, 457, 649, 452, 644, 458, 650)(450, 642, 459, 651, 451, 643, 460, 652)(453, 645, 464, 656, 456, 648, 482, 674)(454, 646, 483, 675, 455, 647, 463, 655)(461, 653, 508, 700, 472, 664, 505, 697)(462, 654, 511, 703, 471, 663, 512, 704)(465, 657, 514, 706, 467, 659, 509, 701)(466, 658, 506, 698, 488, 680, 507, 699)(468, 660, 517, 709, 470, 662, 510, 702)(469, 661, 518, 710, 487, 679, 519, 711)(473, 665, 524, 716, 475, 667, 513, 705)(474, 666, 522, 714, 477, 669, 525, 717)(476, 668, 528, 720, 478, 670, 515, 707)(479, 671, 531, 723, 481, 673, 516, 708)(480, 672, 521, 713, 485, 677, 532, 724)(484, 676, 535, 727, 486, 678, 520, 712)(489, 681, 529, 721, 490, 682, 523, 715)(491, 683, 527, 719, 492, 684, 526, 718)(493, 685, 536, 728, 494, 686, 530, 722)(495, 687, 534, 726, 496, 688, 533, 725)(497, 689, 540, 732, 498, 690, 537, 729)(499, 691, 539, 731, 500, 692, 538, 730)(501, 693, 544, 736, 502, 694, 541, 733)(503, 695, 543, 735, 504, 696, 542, 734)(545, 737, 553, 745, 548, 740, 554, 746)(546, 738, 555, 747, 547, 739, 556, 748)(549, 741, 560, 752, 552, 744, 566, 758)(550, 742, 567, 759, 551, 743, 559, 751)(557, 749, 564, 756, 570, 762, 568, 760)(558, 750, 561, 753, 569, 761, 563, 755)(562, 754, 576, 768, 572, 764, 574, 766)(565, 757, 573, 765, 575, 767, 571, 763)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 419)(25, 398)(26, 421)(27, 416)(28, 400)(29, 418)(30, 401)(31, 402)(32, 411)(33, 403)(34, 413)(35, 408)(36, 405)(37, 410)(38, 406)(39, 433)(40, 434)(41, 435)(42, 436)(43, 432)(44, 437)(45, 438)(46, 439)(47, 440)(48, 427)(49, 423)(50, 424)(51, 425)(52, 426)(53, 428)(54, 429)(55, 430)(56, 431)(57, 449)(58, 450)(59, 451)(60, 452)(61, 453)(62, 454)(63, 455)(64, 456)(65, 441)(66, 442)(67, 443)(68, 444)(69, 445)(70, 446)(71, 447)(72, 448)(73, 505)(74, 506)(75, 507)(76, 508)(77, 509)(78, 510)(79, 511)(80, 512)(81, 513)(82, 514)(83, 515)(84, 516)(85, 517)(86, 520)(87, 521)(88, 522)(89, 523)(90, 524)(91, 526)(92, 527)(93, 528)(94, 529)(95, 530)(96, 531)(97, 533)(98, 518)(99, 519)(100, 534)(101, 535)(102, 536)(103, 532)(104, 525)(105, 537)(106, 538)(107, 539)(108, 540)(109, 541)(110, 542)(111, 543)(112, 544)(113, 545)(114, 546)(115, 547)(116, 548)(117, 549)(118, 550)(119, 551)(120, 552)(121, 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, 482)(135, 483)(136, 470)(137, 471)(138, 472)(139, 473)(140, 474)(141, 488)(142, 475)(143, 476)(144, 477)(145, 478)(146, 479)(147, 480)(148, 487)(149, 481)(150, 484)(151, 485)(152, 486)(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, 568)(170, 576)(171, 574)(172, 564)(173, 558)(174, 557)(175, 561)(176, 563)(177, 559)(178, 569)(179, 560)(180, 556)(181, 570)(182, 573)(183, 571)(184, 553)(185, 562)(186, 565)(187, 567)(188, 575)(189, 566)(190, 555)(191, 572)(192, 554)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3068
Graph:: bipartite
	v = 144 e = 384 f = 200
	degree seq :: [ 4^96, 8^48 ]

E21.3066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-2 * Y1)^2, Y2^24 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 31, 223, 15, 207)(10, 202, 23, 215, 37, 229, 20, 212)(12, 204, 16, 208, 32, 224, 27, 219)(14, 206, 26, 218, 44, 236, 28, 220)(17, 209, 34, 226, 51, 243, 33, 225)(22, 214, 30, 222, 48, 240, 39, 231)(24, 216, 38, 230, 49, 241, 41, 233)(25, 217, 40, 232, 50, 242, 36, 228)(29, 221, 35, 227, 52, 244, 45, 237)(42, 234, 57, 249, 65, 257, 55, 247)(43, 235, 58, 250, 73, 265, 59, 251)(46, 238, 61, 253, 67, 259, 53, 245)(47, 239, 63, 255, 69, 261, 54, 246)(56, 248, 71, 263, 81, 273, 66, 258)(60, 252, 75, 267, 87, 279, 72, 264)(62, 254, 68, 260, 83, 275, 77, 269)(64, 256, 78, 270, 93, 285, 79, 271)(70, 262, 85, 277, 99, 291, 84, 276)(74, 266, 82, 274, 97, 289, 89, 281)(76, 268, 88, 280, 98, 290, 90, 282)(80, 272, 86, 278, 100, 292, 94, 286)(91, 283, 105, 297, 113, 305, 103, 295)(92, 284, 106, 298, 121, 313, 107, 299)(95, 287, 109, 301, 115, 307, 101, 293)(96, 288, 111, 303, 117, 309, 102, 294)(104, 296, 119, 311, 129, 321, 114, 306)(108, 300, 123, 315, 135, 327, 120, 312)(110, 302, 116, 308, 131, 323, 125, 317)(112, 304, 126, 318, 141, 333, 127, 319)(118, 310, 133, 325, 147, 339, 132, 324)(122, 314, 130, 322, 145, 337, 137, 329)(124, 316, 136, 328, 146, 338, 138, 330)(128, 320, 134, 326, 148, 340, 142, 334)(139, 331, 153, 345, 161, 353, 151, 343)(140, 332, 154, 346, 169, 361, 155, 347)(143, 335, 157, 349, 163, 355, 149, 341)(144, 336, 159, 351, 165, 357, 150, 342)(152, 344, 167, 359, 176, 368, 162, 354)(156, 348, 171, 363, 182, 374, 168, 360)(158, 350, 164, 356, 178, 370, 173, 365)(160, 352, 174, 366, 186, 378, 175, 367)(166, 358, 180, 372, 189, 381, 179, 371)(170, 362, 177, 369, 187, 379, 183, 375)(172, 364, 181, 373, 188, 380, 184, 376)(185, 377, 191, 383, 192, 384, 190, 382)(385, 577, 387, 579, 394, 586, 408, 600, 427, 619, 444, 636, 460, 652, 476, 668, 492, 684, 508, 700, 524, 716, 540, 732, 556, 748, 544, 736, 528, 720, 512, 704, 496, 688, 480, 672, 464, 656, 448, 640, 431, 623, 413, 605, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 419, 611, 438, 630, 454, 646, 470, 662, 486, 678, 502, 694, 518, 710, 534, 726, 550, 742, 565, 757, 552, 744, 536, 728, 520, 712, 504, 696, 488, 680, 472, 664, 456, 648, 440, 632, 422, 614, 404, 596, 392, 584)(388, 580, 396, 588, 410, 602, 429, 621, 446, 638, 462, 654, 478, 670, 494, 686, 510, 702, 526, 718, 542, 734, 558, 750, 568, 760, 554, 746, 538, 730, 522, 714, 506, 698, 490, 682, 474, 666, 458, 650, 442, 634, 425, 617, 406, 598, 393, 585)(390, 582, 399, 591, 414, 606, 433, 625, 450, 642, 466, 658, 482, 674, 498, 690, 514, 706, 530, 722, 546, 738, 561, 753, 572, 764, 563, 755, 548, 740, 532, 724, 516, 708, 500, 692, 484, 676, 468, 660, 452, 644, 436, 628, 417, 609, 400, 592)(395, 587, 409, 601, 397, 589, 412, 604, 430, 622, 447, 639, 463, 655, 479, 671, 495, 687, 511, 703, 527, 719, 543, 735, 559, 751, 569, 761, 555, 747, 539, 731, 523, 715, 507, 699, 491, 683, 475, 667, 459, 651, 443, 635, 426, 618, 407, 599)(402, 594, 420, 612, 403, 595, 421, 613, 439, 631, 455, 647, 471, 663, 487, 679, 503, 695, 519, 711, 535, 727, 551, 743, 566, 758, 574, 766, 564, 756, 549, 741, 533, 725, 517, 709, 501, 693, 485, 677, 469, 661, 453, 645, 437, 629, 418, 610)(405, 597, 423, 615, 441, 633, 457, 649, 473, 665, 489, 681, 505, 697, 521, 713, 537, 729, 553, 745, 567, 759, 575, 767, 570, 762, 557, 749, 541, 733, 525, 717, 509, 701, 493, 685, 477, 669, 461, 653, 445, 637, 428, 620, 411, 603, 424, 616)(415, 607, 434, 626, 416, 608, 435, 627, 451, 643, 467, 659, 483, 675, 499, 691, 515, 707, 531, 723, 547, 739, 562, 754, 573, 765, 576, 768, 571, 763, 560, 752, 545, 737, 529, 721, 513, 705, 497, 689, 481, 673, 465, 657, 449, 641, 432, 624)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 409)(12, 410)(13, 412)(14, 389)(15, 414)(16, 390)(17, 419)(18, 420)(19, 421)(20, 392)(21, 423)(22, 393)(23, 395)(24, 427)(25, 397)(26, 429)(27, 424)(28, 430)(29, 398)(30, 433)(31, 434)(32, 435)(33, 400)(34, 402)(35, 438)(36, 403)(37, 439)(38, 404)(39, 441)(40, 405)(41, 406)(42, 407)(43, 444)(44, 411)(45, 446)(46, 447)(47, 413)(48, 415)(49, 450)(50, 416)(51, 451)(52, 417)(53, 418)(54, 454)(55, 455)(56, 422)(57, 457)(58, 425)(59, 426)(60, 460)(61, 428)(62, 462)(63, 463)(64, 431)(65, 432)(66, 466)(67, 467)(68, 436)(69, 437)(70, 470)(71, 471)(72, 440)(73, 473)(74, 442)(75, 443)(76, 476)(77, 445)(78, 478)(79, 479)(80, 448)(81, 449)(82, 482)(83, 483)(84, 452)(85, 453)(86, 486)(87, 487)(88, 456)(89, 489)(90, 458)(91, 459)(92, 492)(93, 461)(94, 494)(95, 495)(96, 464)(97, 465)(98, 498)(99, 499)(100, 468)(101, 469)(102, 502)(103, 503)(104, 472)(105, 505)(106, 474)(107, 475)(108, 508)(109, 477)(110, 510)(111, 511)(112, 480)(113, 481)(114, 514)(115, 515)(116, 484)(117, 485)(118, 518)(119, 519)(120, 488)(121, 521)(122, 490)(123, 491)(124, 524)(125, 493)(126, 526)(127, 527)(128, 496)(129, 497)(130, 530)(131, 531)(132, 500)(133, 501)(134, 534)(135, 535)(136, 504)(137, 537)(138, 506)(139, 507)(140, 540)(141, 509)(142, 542)(143, 543)(144, 512)(145, 513)(146, 546)(147, 547)(148, 516)(149, 517)(150, 550)(151, 551)(152, 520)(153, 553)(154, 522)(155, 523)(156, 556)(157, 525)(158, 558)(159, 559)(160, 528)(161, 529)(162, 561)(163, 562)(164, 532)(165, 533)(166, 565)(167, 566)(168, 536)(169, 567)(170, 538)(171, 539)(172, 544)(173, 541)(174, 568)(175, 569)(176, 545)(177, 572)(178, 573)(179, 548)(180, 549)(181, 552)(182, 574)(183, 575)(184, 554)(185, 555)(186, 557)(187, 560)(188, 563)(189, 576)(190, 564)(191, 570)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3067
Graph:: bipartite
	v = 56 e = 384 f = 288
	degree seq :: [ 8^48, 48^8 ]

E21.3067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^-2)^2, Y3^9 * Y2 * Y3^-15 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(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)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 414, 606)(403, 595, 421, 613)(404, 596, 407, 599)(406, 598, 410, 602)(408, 600, 426, 618)(411, 603, 431, 623)(415, 607, 435, 627)(417, 609, 432, 624)(418, 610, 437, 629)(419, 611, 433, 625)(420, 612, 438, 630)(422, 614, 427, 619)(423, 615, 429, 621)(424, 616, 442, 634)(425, 617, 445, 637)(428, 620, 447, 639)(430, 622, 448, 640)(434, 626, 452, 644)(436, 628, 451, 643)(439, 631, 456, 648)(440, 632, 458, 650)(441, 633, 446, 638)(443, 635, 460, 652)(444, 636, 462, 654)(449, 641, 465, 657)(450, 642, 467, 659)(453, 645, 469, 661)(454, 646, 471, 663)(455, 647, 464, 656)(457, 649, 473, 665)(459, 651, 472, 664)(461, 653, 477, 669)(463, 655, 468, 660)(466, 658, 481, 673)(470, 662, 485, 677)(474, 666, 486, 678)(475, 667, 487, 679)(476, 668, 490, 682)(478, 670, 482, 674)(479, 671, 483, 675)(480, 672, 494, 686)(484, 676, 498, 690)(488, 680, 502, 694)(489, 681, 501, 693)(491, 683, 505, 697)(492, 684, 507, 699)(493, 685, 497, 689)(495, 687, 509, 701)(496, 688, 511, 703)(499, 691, 513, 705)(500, 692, 515, 707)(503, 695, 517, 709)(504, 696, 519, 711)(506, 698, 521, 713)(508, 700, 520, 712)(510, 702, 525, 717)(512, 704, 516, 708)(514, 706, 529, 721)(518, 710, 533, 725)(522, 714, 534, 726)(523, 715, 535, 727)(524, 716, 538, 730)(526, 718, 530, 722)(527, 719, 531, 723)(528, 720, 542, 734)(532, 724, 546, 738)(536, 728, 550, 742)(537, 729, 549, 741)(539, 731, 553, 745)(540, 732, 555, 747)(541, 733, 545, 737)(543, 735, 557, 749)(544, 736, 559, 751)(547, 739, 560, 752)(548, 740, 562, 754)(551, 743, 564, 756)(552, 744, 566, 758)(554, 746, 567, 759)(556, 748, 563, 755)(558, 750, 570, 762)(561, 753, 571, 763)(565, 757, 574, 766)(568, 760, 573, 765)(569, 761, 572, 764)(575, 767, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 420)(19, 422)(20, 393)(21, 423)(22, 394)(23, 425)(24, 395)(25, 428)(26, 430)(27, 432)(28, 397)(29, 433)(30, 398)(31, 405)(32, 436)(33, 400)(34, 404)(35, 401)(36, 440)(37, 435)(38, 442)(39, 443)(40, 406)(41, 413)(42, 446)(43, 408)(44, 412)(45, 409)(46, 450)(47, 445)(48, 452)(49, 453)(50, 414)(51, 455)(52, 456)(53, 416)(54, 417)(55, 419)(56, 459)(57, 421)(58, 461)(59, 462)(60, 424)(61, 464)(62, 465)(63, 426)(64, 427)(65, 429)(66, 468)(67, 431)(68, 470)(69, 471)(70, 434)(71, 437)(72, 473)(73, 438)(74, 439)(75, 476)(76, 441)(77, 478)(78, 479)(79, 444)(80, 447)(81, 481)(82, 448)(83, 449)(84, 484)(85, 451)(86, 486)(87, 487)(88, 454)(89, 489)(90, 457)(91, 458)(92, 492)(93, 460)(94, 494)(95, 495)(96, 463)(97, 497)(98, 466)(99, 467)(100, 500)(101, 469)(102, 502)(103, 503)(104, 472)(105, 505)(106, 474)(107, 475)(108, 508)(109, 477)(110, 510)(111, 511)(112, 480)(113, 513)(114, 482)(115, 483)(116, 516)(117, 485)(118, 518)(119, 519)(120, 488)(121, 521)(122, 490)(123, 491)(124, 524)(125, 493)(126, 526)(127, 527)(128, 496)(129, 529)(130, 498)(131, 499)(132, 532)(133, 501)(134, 534)(135, 535)(136, 504)(137, 537)(138, 506)(139, 507)(140, 540)(141, 509)(142, 542)(143, 543)(144, 512)(145, 545)(146, 514)(147, 515)(148, 548)(149, 517)(150, 550)(151, 551)(152, 520)(153, 553)(154, 522)(155, 523)(156, 556)(157, 525)(158, 558)(159, 559)(160, 528)(161, 560)(162, 530)(163, 531)(164, 563)(165, 533)(166, 565)(167, 566)(168, 536)(169, 567)(170, 538)(171, 539)(172, 544)(173, 541)(174, 569)(175, 568)(176, 571)(177, 546)(178, 547)(179, 552)(180, 549)(181, 573)(182, 572)(183, 575)(184, 554)(185, 555)(186, 557)(187, 576)(188, 561)(189, 562)(190, 564)(191, 570)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3066
Graph:: simple bipartite
	v = 288 e = 384 f = 56
	degree seq :: [ 2^192, 4^96 ]

E21.3068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|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, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-3 * Y3^-1 * Y1^-3, Y1^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 41, 233, 61, 253, 80, 272, 97, 289, 113, 305, 129, 321, 145, 337, 161, 353, 160, 352, 144, 336, 128, 320, 112, 304, 96, 288, 79, 271, 60, 252, 40, 232, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 51, 243, 71, 263, 89, 281, 105, 297, 121, 313, 137, 329, 153, 345, 169, 361, 176, 368, 165, 357, 147, 339, 130, 322, 117, 309, 99, 291, 81, 273, 65, 257, 43, 235, 24, 216, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 21, 213, 39, 231, 59, 251, 78, 270, 95, 287, 111, 303, 127, 319, 143, 335, 159, 351, 175, 367, 179, 371, 163, 355, 146, 338, 133, 325, 115, 307, 98, 290, 84, 276, 63, 255, 42, 234, 30, 222, 14, 206)(9, 201, 19, 211, 37, 229, 57, 249, 76, 268, 93, 285, 109, 301, 125, 317, 141, 333, 157, 349, 173, 365, 177, 369, 162, 354, 149, 341, 131, 323, 114, 306, 101, 293, 82, 274, 62, 254, 46, 238, 26, 218, 12, 204, 25, 217, 20, 212)(16, 208, 33, 225, 53, 245, 36, 228, 45, 237, 67, 259, 86, 278, 100, 292, 118, 310, 135, 327, 148, 340, 166, 358, 181, 373, 187, 379, 184, 376, 170, 362, 156, 348, 139, 331, 122, 314, 108, 300, 91, 283, 72, 264, 55, 247, 34, 226)(17, 209, 35, 227, 50, 242, 64, 256, 85, 277, 103, 295, 116, 308, 134, 326, 151, 343, 164, 356, 180, 372, 189, 381, 183, 375, 171, 363, 154, 346, 138, 330, 123, 315, 106, 298, 90, 282, 73, 265, 52, 244, 32, 224, 48, 240, 28, 220)(29, 221, 49, 241, 68, 260, 83, 275, 102, 294, 119, 311, 132, 324, 150, 342, 167, 359, 178, 370, 188, 380, 186, 378, 174, 366, 158, 350, 142, 334, 126, 318, 110, 302, 94, 286, 77, 269, 58, 250, 38, 230, 47, 239, 66, 258, 44, 236)(54, 246, 75, 267, 92, 284, 107, 299, 124, 316, 140, 332, 155, 347, 172, 364, 185, 377, 191, 383, 192, 384, 190, 382, 182, 374, 168, 360, 152, 344, 136, 328, 120, 312, 104, 296, 88, 280, 70, 262, 56, 248, 74, 266, 87, 279, 69, 261)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 422)(20, 417)(21, 394)(22, 415)(23, 426)(24, 395)(25, 428)(26, 429)(27, 431)(28, 397)(29, 398)(30, 434)(31, 406)(32, 399)(33, 404)(34, 438)(35, 440)(36, 402)(37, 439)(38, 403)(39, 436)(40, 441)(41, 446)(42, 407)(43, 448)(44, 409)(45, 410)(46, 452)(47, 411)(48, 453)(49, 454)(50, 414)(51, 456)(52, 423)(53, 458)(54, 418)(55, 421)(56, 419)(57, 424)(58, 459)(59, 461)(60, 462)(61, 465)(62, 425)(63, 467)(64, 427)(65, 470)(66, 471)(67, 472)(68, 430)(69, 432)(70, 433)(71, 474)(72, 435)(73, 476)(74, 437)(75, 442)(76, 478)(77, 443)(78, 444)(79, 473)(80, 482)(81, 445)(82, 484)(83, 447)(84, 487)(85, 488)(86, 449)(87, 450)(88, 451)(89, 463)(90, 455)(91, 491)(92, 457)(93, 492)(94, 460)(95, 490)(96, 493)(97, 498)(98, 464)(99, 500)(100, 466)(101, 503)(102, 504)(103, 468)(104, 469)(105, 506)(106, 479)(107, 475)(108, 477)(109, 480)(110, 508)(111, 510)(112, 511)(113, 514)(114, 481)(115, 516)(116, 483)(117, 519)(118, 520)(119, 485)(120, 486)(121, 522)(122, 489)(123, 524)(124, 494)(125, 526)(126, 495)(127, 496)(128, 521)(129, 530)(130, 497)(131, 532)(132, 499)(133, 535)(134, 536)(135, 501)(136, 502)(137, 512)(138, 505)(139, 539)(140, 507)(141, 540)(142, 509)(143, 538)(144, 541)(145, 546)(146, 513)(147, 548)(148, 515)(149, 551)(150, 552)(151, 517)(152, 518)(153, 554)(154, 527)(155, 523)(156, 525)(157, 528)(158, 556)(159, 558)(160, 559)(161, 560)(162, 529)(163, 562)(164, 531)(165, 565)(166, 566)(167, 533)(168, 534)(169, 567)(170, 537)(171, 569)(172, 542)(173, 570)(174, 543)(175, 544)(176, 545)(177, 571)(178, 547)(179, 573)(180, 574)(181, 549)(182, 550)(183, 553)(184, 575)(185, 555)(186, 557)(187, 561)(188, 576)(189, 563)(190, 564)(191, 568)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3065
Graph:: simple bipartite
	v = 200 e = 384 f = 144
	degree seq :: [ 2^192, 48^8 ]

E21.3069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-2 * Y1 * Y2^-1)^2, Y2^24 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 30, 222)(19, 211, 37, 229)(20, 212, 23, 215)(22, 214, 26, 218)(24, 216, 42, 234)(27, 219, 47, 239)(31, 223, 51, 243)(33, 225, 48, 240)(34, 226, 53, 245)(35, 227, 49, 241)(36, 228, 54, 246)(38, 230, 43, 235)(39, 231, 45, 237)(40, 232, 58, 250)(41, 233, 61, 253)(44, 236, 63, 255)(46, 238, 64, 256)(50, 242, 68, 260)(52, 244, 67, 259)(55, 247, 72, 264)(56, 248, 74, 266)(57, 249, 62, 254)(59, 251, 76, 268)(60, 252, 78, 270)(65, 257, 81, 273)(66, 258, 83, 275)(69, 261, 85, 277)(70, 262, 87, 279)(71, 263, 80, 272)(73, 265, 89, 281)(75, 267, 88, 280)(77, 269, 93, 285)(79, 271, 84, 276)(82, 274, 97, 289)(86, 278, 101, 293)(90, 282, 102, 294)(91, 283, 103, 295)(92, 284, 106, 298)(94, 286, 98, 290)(95, 287, 99, 291)(96, 288, 110, 302)(100, 292, 114, 306)(104, 296, 118, 310)(105, 297, 117, 309)(107, 299, 121, 313)(108, 300, 123, 315)(109, 301, 113, 305)(111, 303, 125, 317)(112, 304, 127, 319)(115, 307, 129, 321)(116, 308, 131, 323)(119, 311, 133, 325)(120, 312, 135, 327)(122, 314, 137, 329)(124, 316, 136, 328)(126, 318, 141, 333)(128, 320, 132, 324)(130, 322, 145, 337)(134, 326, 149, 341)(138, 330, 150, 342)(139, 331, 151, 343)(140, 332, 154, 346)(142, 334, 146, 338)(143, 335, 147, 339)(144, 336, 158, 350)(148, 340, 162, 354)(152, 344, 166, 358)(153, 345, 165, 357)(155, 347, 169, 361)(156, 348, 171, 363)(157, 349, 161, 353)(159, 351, 173, 365)(160, 352, 175, 367)(163, 355, 176, 368)(164, 356, 178, 370)(167, 359, 180, 372)(168, 360, 182, 374)(170, 362, 183, 375)(172, 364, 179, 371)(174, 366, 186, 378)(177, 369, 187, 379)(181, 373, 190, 382)(184, 376, 189, 381)(185, 377, 188, 380)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 420, 612, 440, 632, 459, 651, 476, 668, 492, 684, 508, 700, 524, 716, 540, 732, 556, 748, 544, 736, 528, 720, 512, 704, 496, 688, 480, 672, 463, 655, 444, 636, 424, 616, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 430, 622, 450, 642, 468, 660, 484, 676, 500, 692, 516, 708, 532, 724, 548, 740, 563, 755, 552, 744, 536, 728, 520, 712, 504, 696, 488, 680, 472, 664, 454, 646, 434, 626, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 405, 597, 423, 615, 443, 635, 462, 654, 479, 671, 495, 687, 511, 703, 527, 719, 543, 735, 559, 751, 568, 760, 554, 746, 538, 730, 522, 714, 506, 698, 490, 682, 474, 666, 457, 649, 438, 630, 417, 609, 400, 592)(393, 585, 403, 595, 422, 614, 442, 634, 461, 653, 478, 670, 494, 686, 510, 702, 526, 718, 542, 734, 558, 750, 569, 761, 555, 747, 539, 731, 523, 715, 507, 699, 491, 683, 475, 667, 458, 650, 439, 631, 419, 611, 401, 593, 418, 610, 404, 596)(395, 587, 407, 599, 425, 617, 413, 605, 433, 625, 453, 645, 471, 663, 487, 679, 503, 695, 519, 711, 535, 727, 551, 743, 566, 758, 572, 764, 561, 753, 546, 738, 530, 722, 514, 706, 498, 690, 482, 674, 466, 658, 448, 640, 427, 619, 408, 600)(397, 589, 411, 603, 432, 624, 452, 644, 470, 662, 486, 678, 502, 694, 518, 710, 534, 726, 550, 742, 565, 757, 573, 765, 562, 754, 547, 739, 531, 723, 515, 707, 499, 691, 483, 675, 467, 659, 449, 641, 429, 621, 409, 601, 428, 620, 412, 604)(416, 608, 436, 628, 456, 648, 473, 665, 489, 681, 505, 697, 521, 713, 537, 729, 553, 745, 567, 759, 575, 767, 570, 762, 557, 749, 541, 733, 525, 717, 509, 701, 493, 685, 477, 669, 460, 652, 441, 633, 421, 613, 435, 627, 455, 647, 437, 629)(426, 618, 446, 638, 465, 657, 481, 673, 497, 689, 513, 705, 529, 721, 545, 737, 560, 752, 571, 763, 576, 768, 574, 766, 564, 756, 549, 741, 533, 725, 517, 709, 501, 693, 485, 677, 469, 661, 451, 643, 431, 623, 445, 637, 464, 656, 447, 639)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 414)(19, 421)(20, 407)(21, 394)(22, 410)(23, 404)(24, 426)(25, 396)(26, 406)(27, 431)(28, 399)(29, 398)(30, 402)(31, 435)(32, 400)(33, 432)(34, 437)(35, 433)(36, 438)(37, 403)(38, 427)(39, 429)(40, 442)(41, 445)(42, 408)(43, 422)(44, 447)(45, 423)(46, 448)(47, 411)(48, 417)(49, 419)(50, 452)(51, 415)(52, 451)(53, 418)(54, 420)(55, 456)(56, 458)(57, 446)(58, 424)(59, 460)(60, 462)(61, 425)(62, 441)(63, 428)(64, 430)(65, 465)(66, 467)(67, 436)(68, 434)(69, 469)(70, 471)(71, 464)(72, 439)(73, 473)(74, 440)(75, 472)(76, 443)(77, 477)(78, 444)(79, 468)(80, 455)(81, 449)(82, 481)(83, 450)(84, 463)(85, 453)(86, 485)(87, 454)(88, 459)(89, 457)(90, 486)(91, 487)(92, 490)(93, 461)(94, 482)(95, 483)(96, 494)(97, 466)(98, 478)(99, 479)(100, 498)(101, 470)(102, 474)(103, 475)(104, 502)(105, 501)(106, 476)(107, 505)(108, 507)(109, 497)(110, 480)(111, 509)(112, 511)(113, 493)(114, 484)(115, 513)(116, 515)(117, 489)(118, 488)(119, 517)(120, 519)(121, 491)(122, 521)(123, 492)(124, 520)(125, 495)(126, 525)(127, 496)(128, 516)(129, 499)(130, 529)(131, 500)(132, 512)(133, 503)(134, 533)(135, 504)(136, 508)(137, 506)(138, 534)(139, 535)(140, 538)(141, 510)(142, 530)(143, 531)(144, 542)(145, 514)(146, 526)(147, 527)(148, 546)(149, 518)(150, 522)(151, 523)(152, 550)(153, 549)(154, 524)(155, 553)(156, 555)(157, 545)(158, 528)(159, 557)(160, 559)(161, 541)(162, 532)(163, 560)(164, 562)(165, 537)(166, 536)(167, 564)(168, 566)(169, 539)(170, 567)(171, 540)(172, 563)(173, 543)(174, 570)(175, 544)(176, 547)(177, 571)(178, 548)(179, 556)(180, 551)(181, 574)(182, 552)(183, 554)(184, 573)(185, 572)(186, 558)(187, 561)(188, 569)(189, 568)(190, 565)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3070
Graph:: bipartite
	v = 104 e = 384 f = 240
	degree seq :: [ 4^96, 48^8 ]

E21.3070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 24})
Quotient :: dipole
Aut^+ = (C8 x A4) : C2 (small group id <192, 961>)
Aut   = $<384, 18015>$ (small group id <384, 18015>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 31, 223, 15, 207)(10, 202, 23, 215, 37, 229, 20, 212)(12, 204, 16, 208, 32, 224, 27, 219)(14, 206, 26, 218, 44, 236, 28, 220)(17, 209, 34, 226, 51, 243, 33, 225)(22, 214, 30, 222, 48, 240, 39, 231)(24, 216, 38, 230, 49, 241, 41, 233)(25, 217, 40, 232, 50, 242, 36, 228)(29, 221, 35, 227, 52, 244, 45, 237)(42, 234, 57, 249, 65, 257, 55, 247)(43, 235, 58, 250, 73, 265, 59, 251)(46, 238, 61, 253, 67, 259, 53, 245)(47, 239, 63, 255, 69, 261, 54, 246)(56, 248, 71, 263, 81, 273, 66, 258)(60, 252, 75, 267, 87, 279, 72, 264)(62, 254, 68, 260, 83, 275, 77, 269)(64, 256, 78, 270, 93, 285, 79, 271)(70, 262, 85, 277, 99, 291, 84, 276)(74, 266, 82, 274, 97, 289, 89, 281)(76, 268, 88, 280, 98, 290, 90, 282)(80, 272, 86, 278, 100, 292, 94, 286)(91, 283, 105, 297, 113, 305, 103, 295)(92, 284, 106, 298, 121, 313, 107, 299)(95, 287, 109, 301, 115, 307, 101, 293)(96, 288, 111, 303, 117, 309, 102, 294)(104, 296, 119, 311, 129, 321, 114, 306)(108, 300, 123, 315, 135, 327, 120, 312)(110, 302, 116, 308, 131, 323, 125, 317)(112, 304, 126, 318, 141, 333, 127, 319)(118, 310, 133, 325, 147, 339, 132, 324)(122, 314, 130, 322, 145, 337, 137, 329)(124, 316, 136, 328, 146, 338, 138, 330)(128, 320, 134, 326, 148, 340, 142, 334)(139, 331, 153, 345, 161, 353, 151, 343)(140, 332, 154, 346, 169, 361, 155, 347)(143, 335, 157, 349, 163, 355, 149, 341)(144, 336, 159, 351, 165, 357, 150, 342)(152, 344, 167, 359, 176, 368, 162, 354)(156, 348, 171, 363, 182, 374, 168, 360)(158, 350, 164, 356, 178, 370, 173, 365)(160, 352, 174, 366, 186, 378, 175, 367)(166, 358, 180, 372, 189, 381, 179, 371)(170, 362, 177, 369, 187, 379, 183, 375)(172, 364, 181, 373, 188, 380, 184, 376)(185, 377, 191, 383, 192, 384, 190, 382)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 409)(12, 410)(13, 412)(14, 389)(15, 414)(16, 390)(17, 419)(18, 420)(19, 421)(20, 392)(21, 423)(22, 393)(23, 395)(24, 427)(25, 397)(26, 429)(27, 424)(28, 430)(29, 398)(30, 433)(31, 434)(32, 435)(33, 400)(34, 402)(35, 438)(36, 403)(37, 439)(38, 404)(39, 441)(40, 405)(41, 406)(42, 407)(43, 444)(44, 411)(45, 446)(46, 447)(47, 413)(48, 415)(49, 450)(50, 416)(51, 451)(52, 417)(53, 418)(54, 454)(55, 455)(56, 422)(57, 457)(58, 425)(59, 426)(60, 460)(61, 428)(62, 462)(63, 463)(64, 431)(65, 432)(66, 466)(67, 467)(68, 436)(69, 437)(70, 470)(71, 471)(72, 440)(73, 473)(74, 442)(75, 443)(76, 476)(77, 445)(78, 478)(79, 479)(80, 448)(81, 449)(82, 482)(83, 483)(84, 452)(85, 453)(86, 486)(87, 487)(88, 456)(89, 489)(90, 458)(91, 459)(92, 492)(93, 461)(94, 494)(95, 495)(96, 464)(97, 465)(98, 498)(99, 499)(100, 468)(101, 469)(102, 502)(103, 503)(104, 472)(105, 505)(106, 474)(107, 475)(108, 508)(109, 477)(110, 510)(111, 511)(112, 480)(113, 481)(114, 514)(115, 515)(116, 484)(117, 485)(118, 518)(119, 519)(120, 488)(121, 521)(122, 490)(123, 491)(124, 524)(125, 493)(126, 526)(127, 527)(128, 496)(129, 497)(130, 530)(131, 531)(132, 500)(133, 501)(134, 534)(135, 535)(136, 504)(137, 537)(138, 506)(139, 507)(140, 540)(141, 509)(142, 542)(143, 543)(144, 512)(145, 513)(146, 546)(147, 547)(148, 516)(149, 517)(150, 550)(151, 551)(152, 520)(153, 553)(154, 522)(155, 523)(156, 556)(157, 525)(158, 558)(159, 559)(160, 528)(161, 529)(162, 561)(163, 562)(164, 532)(165, 533)(166, 565)(167, 566)(168, 536)(169, 567)(170, 538)(171, 539)(172, 544)(173, 541)(174, 568)(175, 569)(176, 545)(177, 572)(178, 573)(179, 548)(180, 549)(181, 552)(182, 574)(183, 575)(184, 554)(185, 555)(186, 557)(187, 560)(188, 563)(189, 576)(190, 564)(191, 570)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E21.3069
Graph:: simple bipartite
	v = 240 e = 384 f = 104
	degree seq :: [ 2^192, 8^48 ]

E21.3071 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 20})
Quotient :: halfedge
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2)^4, (X1 * X2 * X1^3)^2, (X1^-3 * X2 * X1^-1)^2, (X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1)^2, X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3, X1^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 130, 176, 197, 194, 200, 196, 175, 129, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 154, 192, 199, 184, 141, 187, 198, 178, 134, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 128, 168, 195, 173, 179, 159, 193, 171, 121, 132, 81, 58, 30, 14)(9, 19, 38, 71, 117, 158, 112, 165, 191, 149, 94, 152, 177, 138, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 125, 169, 116, 162, 190, 160, 104, 64, 109, 131, 90, 52, 26)(16, 33, 63, 107, 70, 84, 136, 126, 174, 186, 140, 86, 139, 183, 146, 89, 145, 111, 65, 34)(17, 35, 66, 100, 133, 119, 72, 118, 170, 124, 75, 123, 172, 181, 137, 102, 60, 95, 55, 28)(29, 56, 96, 147, 106, 62, 32, 61, 103, 69, 36, 68, 115, 167, 127, 77, 91, 142, 87, 50)(39, 73, 120, 135, 83, 51, 88, 143, 182, 151, 93, 54, 92, 148, 99, 57, 98, 157, 122, 74)(67, 113, 166, 185, 153, 105, 161, 180, 156, 97, 155, 108, 163, 188, 150, 110, 164, 189, 144, 114)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 104)(62, 105)(63, 108)(65, 110)(66, 112)(68, 116)(69, 113)(71, 111)(74, 121)(76, 126)(78, 102)(79, 117)(80, 131)(82, 133)(85, 137)(87, 141)(88, 144)(90, 147)(92, 149)(93, 150)(95, 153)(96, 154)(98, 158)(99, 155)(101, 145)(103, 159)(106, 132)(107, 162)(109, 151)(114, 146)(115, 168)(118, 171)(119, 164)(120, 166)(122, 161)(123, 173)(124, 163)(125, 157)(127, 134)(128, 143)(129, 169)(130, 177)(135, 179)(136, 180)(138, 182)(139, 184)(140, 185)(142, 188)(148, 190)(152, 186)(156, 181)(160, 194)(165, 183)(167, 189)(170, 187)(172, 192)(174, 178)(175, 195)(176, 198)(191, 200)(193, 197)(196, 199)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 10 e = 100 f = 50
	degree seq :: [ 20^10 ]

E21.3072 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 20})
Quotient :: halfedge
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1)^2, (X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^2, X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, (X1^-1 * X2)^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 90, 72)(45, 74, 117, 75)(46, 76, 89, 77)(47, 78, 122, 79)(52, 86, 126, 87)(60, 98, 85, 99)(61, 100, 82, 101)(63, 103, 140, 104)(64, 105, 81, 106)(66, 108, 127, 102)(67, 109, 135, 97)(68, 110, 146, 111)(73, 116, 130, 95)(84, 124, 158, 125)(92, 131, 162, 132)(96, 134, 107, 129)(112, 147, 121, 148)(113, 149, 119, 150)(114, 151, 163, 152)(115, 153, 118, 154)(120, 156, 164, 157)(123, 128, 161, 133)(136, 166, 144, 167)(137, 168, 142, 169)(138, 170, 159, 171)(139, 172, 141, 173)(143, 175, 160, 176)(145, 174, 189, 177)(155, 165, 190, 178)(179, 197, 186, 200)(180, 195, 184, 194)(181, 193, 187, 199)(182, 191, 183, 198)(185, 196, 188, 192)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 112)(70, 113)(71, 114)(72, 115)(74, 118)(75, 119)(76, 120)(77, 121)(78, 116)(79, 110)(80, 123)(83, 108)(86, 127)(87, 128)(88, 129)(91, 130)(94, 133)(98, 136)(99, 137)(100, 138)(101, 139)(103, 141)(104, 142)(105, 143)(106, 144)(109, 145)(111, 126)(117, 155)(122, 135)(124, 159)(125, 160)(131, 163)(132, 164)(134, 165)(140, 174)(146, 178)(147, 179)(148, 180)(149, 181)(150, 182)(151, 183)(152, 184)(153, 185)(154, 186)(156, 187)(157, 188)(158, 177)(161, 189)(162, 190)(166, 191)(167, 192)(168, 193)(169, 194)(170, 195)(171, 196)(172, 197)(173, 198)(175, 199)(176, 200)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 50 e = 100 f = 10
	degree seq :: [ 4^50 ]

E21.3073 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^2, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 98)(68, 103)(69, 112)(71, 95)(73, 105)(74, 92)(76, 120)(77, 87)(79, 122)(81, 102)(82, 89)(84, 94)(90, 131)(97, 139)(100, 141)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(113, 150)(114, 152)(115, 153)(116, 154)(117, 137)(118, 136)(119, 155)(121, 142)(123, 140)(124, 158)(125, 160)(126, 161)(127, 162)(128, 163)(129, 164)(130, 165)(132, 166)(133, 168)(134, 169)(135, 170)(138, 171)(143, 174)(144, 176)(151, 172)(156, 167)(157, 175)(159, 173)(177, 195)(178, 199)(179, 193)(180, 192)(181, 191)(182, 198)(183, 189)(184, 196)(185, 200)(186, 194)(187, 190)(188, 197)(201, 203, 208, 204)(202, 205, 211, 206)(207, 213, 224, 214)(209, 216, 229, 217)(210, 218, 232, 219)(212, 221, 237, 222)(215, 226, 245, 227)(220, 234, 258, 235)(223, 239, 266, 240)(225, 242, 271, 243)(228, 247, 279, 248)(230, 250, 284, 251)(231, 252, 287, 253)(233, 255, 292, 256)(236, 260, 300, 261)(238, 263, 305, 264)(241, 268, 311, 269)(244, 273, 317, 274)(246, 276, 321, 277)(249, 281, 323, 282)(254, 289, 330, 290)(257, 294, 336, 295)(259, 297, 340, 298)(262, 302, 342, 303)(265, 307, 285, 308)(267, 309, 280, 310)(270, 313, 351, 314)(272, 315, 278, 316)(275, 318, 331, 319)(283, 324, 359, 325)(286, 326, 306, 327)(288, 328, 301, 329)(291, 332, 367, 333)(293, 334, 299, 335)(296, 337, 312, 338)(304, 343, 375, 344)(320, 356, 388, 357)(322, 355, 385, 349)(339, 372, 400, 373)(341, 371, 397, 365)(345, 377, 354, 378)(346, 379, 352, 380)(347, 381, 358, 382)(348, 383, 350, 384)(353, 386, 360, 387)(361, 389, 370, 390)(362, 391, 368, 392)(363, 393, 374, 394)(364, 395, 366, 396)(369, 398, 376, 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) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 150 e = 200 f = 10
	degree seq :: [ 2^100, 4^50 ]

E21.3074 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, (X1 * X2^-3)^2, X2^-1 * X1 * X2^-2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1, X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-7 * X1^-1 * X2 * X1^-1 * X2^-2 * X1^-1, X2^-1 * X1^-2 * X2^10 * X1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 73, 39)(20, 43, 81, 41)(22, 47, 86, 45)(24, 51, 83, 44)(26, 46, 87, 55)(27, 56, 102, 58)(30, 62, 79, 40)(32, 57, 104, 63)(33, 65, 113, 67)(36, 71, 121, 69)(38, 75, 123, 72)(42, 82, 119, 68)(48, 66, 115, 89)(50, 94, 146, 92)(52, 84, 116, 91)(53, 93, 117, 98)(54, 99, 153, 100)(59, 70, 122, 106)(60, 107, 120, 109)(64, 76, 124, 105)(74, 127, 177, 125)(77, 126, 88, 131)(78, 132, 101, 133)(80, 135, 85, 137)(90, 143, 172, 138)(95, 141, 185, 147)(96, 150, 189, 139)(97, 144, 191, 149)(103, 156, 194, 155)(108, 161, 178, 128)(110, 118, 171, 134)(111, 158, 176, 164)(112, 162, 180, 130)(114, 167, 196, 166)(129, 181, 152, 174)(136, 186, 165, 168)(140, 187, 163, 170)(142, 169, 145, 183)(148, 184, 197, 192)(151, 182, 198, 193)(154, 179, 199, 195)(157, 173, 160, 190)(159, 175, 200, 188)(201, 203, 210, 224, 252, 297, 352, 394, 399, 371, 319, 372, 397, 367, 365, 312, 264, 232, 214, 205)(202, 207, 217, 238, 276, 330, 383, 346, 392, 343, 306, 353, 395, 356, 390, 340, 284, 244, 220, 208)(204, 212, 227, 257, 305, 359, 389, 396, 384, 332, 279, 334, 379, 327, 378, 344, 291, 248, 222, 209)(206, 215, 233, 266, 316, 370, 364, 377, 354, 299, 255, 301, 348, 294, 347, 375, 324, 272, 236, 216)(211, 226, 254, 231, 263, 311, 363, 368, 314, 265, 234, 268, 318, 271, 323, 374, 349, 295, 250, 223)(213, 229, 260, 308, 362, 386, 337, 286, 338, 282, 331, 302, 355, 381, 351, 296, 251, 225, 253, 230)(218, 240, 278, 243, 283, 339, 388, 357, 303, 256, 228, 259, 290, 247, 289, 342, 380, 328, 274, 237)(219, 241, 280, 336, 387, 360, 307, 261, 300, 322, 293, 249, 292, 345, 382, 329, 275, 239, 277, 242)(221, 245, 285, 341, 391, 361, 309, 321, 310, 262, 298, 313, 366, 350, 393, 358, 304, 258, 288, 246)(235, 269, 320, 373, 400, 385, 335, 281, 333, 287, 326, 273, 325, 376, 398, 369, 315, 267, 317, 270)
	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) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: chiral
Dual of E21.3076
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 200 f = 100
	degree seq :: [ 4^50, 20^10 ]

E21.3075 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, (X1 * X2 * X1^3)^2, (X1^-3 * X2 * X1^-1)^2, (X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1)^2, X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3, X1^20 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 45, 80, 130, 176, 197, 194, 200, 196, 175, 129, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 154, 192, 199, 184, 141, 187, 198, 178, 134, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 128, 168, 195, 173, 179, 159, 193, 171, 121, 132, 81, 58, 30, 14)(9, 19, 38, 71, 117, 158, 112, 165, 191, 149, 94, 152, 177, 138, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 125, 169, 116, 162, 190, 160, 104, 64, 109, 131, 90, 52, 26)(16, 33, 63, 107, 70, 84, 136, 126, 174, 186, 140, 86, 139, 183, 146, 89, 145, 111, 65, 34)(17, 35, 66, 100, 133, 119, 72, 118, 170, 124, 75, 123, 172, 181, 137, 102, 60, 95, 55, 28)(29, 56, 96, 147, 106, 62, 32, 61, 103, 69, 36, 68, 115, 167, 127, 77, 91, 142, 87, 50)(39, 73, 120, 135, 83, 51, 88, 143, 182, 151, 93, 54, 92, 148, 99, 57, 98, 157, 122, 74)(67, 113, 166, 185, 153, 105, 161, 180, 156, 97, 155, 108, 163, 188, 150, 110, 164, 189, 144, 114)(201, 203)(202, 206)(204, 209)(205, 212)(207, 216)(208, 217)(210, 221)(211, 224)(213, 228)(214, 229)(215, 232)(218, 236)(219, 239)(220, 233)(222, 243)(223, 246)(225, 250)(226, 251)(227, 254)(230, 257)(231, 260)(234, 264)(235, 267)(237, 270)(238, 272)(240, 275)(241, 277)(242, 273)(244, 259)(245, 281)(247, 283)(248, 284)(249, 286)(252, 289)(253, 291)(255, 294)(256, 297)(258, 300)(261, 304)(262, 305)(263, 308)(265, 310)(266, 312)(268, 316)(269, 313)(271, 311)(274, 321)(276, 326)(278, 302)(279, 317)(280, 331)(282, 333)(285, 337)(287, 341)(288, 344)(290, 347)(292, 349)(293, 350)(295, 353)(296, 354)(298, 358)(299, 355)(301, 345)(303, 359)(306, 332)(307, 362)(309, 351)(314, 346)(315, 368)(318, 371)(319, 364)(320, 366)(322, 361)(323, 373)(324, 363)(325, 357)(327, 334)(328, 343)(329, 369)(330, 377)(335, 379)(336, 380)(338, 382)(339, 384)(340, 385)(342, 388)(348, 390)(352, 386)(356, 381)(360, 394)(365, 383)(367, 389)(370, 387)(372, 392)(374, 378)(375, 395)(376, 398)(391, 400)(393, 397)(396, 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, 8 ), ( 8^20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 110 e = 200 f = 50
	degree seq :: [ 2^100, 20^10 ]

E21.3076 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^2, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 ]
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, 23, 223)(14, 214, 25, 225)(16, 216, 28, 228)(17, 217, 30, 230)(18, 218, 31, 231)(19, 219, 33, 233)(21, 221, 36, 236)(22, 222, 38, 238)(24, 224, 41, 241)(26, 226, 44, 244)(27, 227, 46, 246)(29, 229, 49, 249)(32, 232, 54, 254)(34, 234, 57, 257)(35, 235, 59, 259)(37, 237, 62, 262)(39, 239, 65, 265)(40, 240, 67, 267)(42, 242, 70, 270)(43, 243, 72, 272)(45, 245, 75, 275)(47, 247, 78, 278)(48, 248, 80, 280)(50, 250, 83, 283)(51, 251, 85, 285)(52, 252, 86, 286)(53, 253, 88, 288)(55, 255, 91, 291)(56, 256, 93, 293)(58, 258, 96, 296)(60, 260, 99, 299)(61, 261, 101, 301)(63, 263, 104, 304)(64, 264, 106, 306)(66, 266, 98, 298)(68, 268, 103, 303)(69, 269, 112, 312)(71, 271, 95, 295)(73, 273, 105, 305)(74, 274, 92, 292)(76, 276, 120, 320)(77, 277, 87, 287)(79, 279, 122, 322)(81, 281, 102, 302)(82, 282, 89, 289)(84, 284, 94, 294)(90, 290, 131, 331)(97, 297, 139, 339)(100, 300, 141, 341)(107, 307, 145, 345)(108, 308, 146, 346)(109, 309, 147, 347)(110, 310, 148, 348)(111, 311, 149, 349)(113, 313, 150, 350)(114, 314, 152, 352)(115, 315, 153, 353)(116, 316, 154, 354)(117, 317, 137, 337)(118, 318, 136, 336)(119, 319, 155, 355)(121, 321, 142, 342)(123, 323, 140, 340)(124, 324, 158, 358)(125, 325, 160, 360)(126, 326, 161, 361)(127, 327, 162, 362)(128, 328, 163, 363)(129, 329, 164, 364)(130, 330, 165, 365)(132, 332, 166, 366)(133, 333, 168, 368)(134, 334, 169, 369)(135, 335, 170, 370)(138, 338, 171, 371)(143, 343, 174, 374)(144, 344, 176, 376)(151, 351, 172, 372)(156, 356, 167, 367)(157, 357, 175, 375)(159, 359, 173, 373)(177, 377, 195, 395)(178, 378, 199, 399)(179, 379, 193, 393)(180, 380, 192, 392)(181, 381, 191, 391)(182, 382, 198, 398)(183, 383, 189, 389)(184, 384, 196, 396)(185, 385, 200, 400)(186, 386, 194, 394)(187, 387, 190, 390)(188, 388, 197, 397)
	L = (1, 203)(2, 205)(3, 208)(4, 201)(5, 211)(6, 202)(7, 213)(8, 204)(9, 216)(10, 218)(11, 206)(12, 221)(13, 224)(14, 207)(15, 226)(16, 229)(17, 209)(18, 232)(19, 210)(20, 234)(21, 237)(22, 212)(23, 239)(24, 214)(25, 242)(26, 245)(27, 215)(28, 247)(29, 217)(30, 250)(31, 252)(32, 219)(33, 255)(34, 258)(35, 220)(36, 260)(37, 222)(38, 263)(39, 266)(40, 223)(41, 268)(42, 271)(43, 225)(44, 273)(45, 227)(46, 276)(47, 279)(48, 228)(49, 281)(50, 284)(51, 230)(52, 287)(53, 231)(54, 289)(55, 292)(56, 233)(57, 294)(58, 235)(59, 297)(60, 300)(61, 236)(62, 302)(63, 305)(64, 238)(65, 307)(66, 240)(67, 309)(68, 311)(69, 241)(70, 313)(71, 243)(72, 315)(73, 317)(74, 244)(75, 318)(76, 321)(77, 246)(78, 316)(79, 248)(80, 310)(81, 323)(82, 249)(83, 324)(84, 251)(85, 308)(86, 326)(87, 253)(88, 328)(89, 330)(90, 254)(91, 332)(92, 256)(93, 334)(94, 336)(95, 257)(96, 337)(97, 340)(98, 259)(99, 335)(100, 261)(101, 329)(102, 342)(103, 262)(104, 343)(105, 264)(106, 327)(107, 285)(108, 265)(109, 280)(110, 267)(111, 269)(112, 338)(113, 351)(114, 270)(115, 278)(116, 272)(117, 274)(118, 331)(119, 275)(120, 356)(121, 277)(122, 355)(123, 282)(124, 359)(125, 283)(126, 306)(127, 286)(128, 301)(129, 288)(130, 290)(131, 319)(132, 367)(133, 291)(134, 299)(135, 293)(136, 295)(137, 312)(138, 296)(139, 372)(140, 298)(141, 371)(142, 303)(143, 375)(144, 304)(145, 377)(146, 379)(147, 381)(148, 383)(149, 322)(150, 384)(151, 314)(152, 380)(153, 386)(154, 378)(155, 385)(156, 388)(157, 320)(158, 382)(159, 325)(160, 387)(161, 389)(162, 391)(163, 393)(164, 395)(165, 341)(166, 396)(167, 333)(168, 392)(169, 398)(170, 390)(171, 397)(172, 400)(173, 339)(174, 394)(175, 344)(176, 399)(177, 354)(178, 345)(179, 352)(180, 346)(181, 358)(182, 347)(183, 350)(184, 348)(185, 349)(186, 360)(187, 353)(188, 357)(189, 370)(190, 361)(191, 368)(192, 362)(193, 374)(194, 363)(195, 366)(196, 364)(197, 365)(198, 376)(199, 369)(200, 373)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: chiral
Dual of E21.3074
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 100 e = 200 f = 60
	degree seq :: [ 4^100 ]

E21.3077 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, (X1 * X2^-3)^2, X2^-1 * X1 * X2^-2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1, X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1^-1 * X2^-7 * X1^-1 * X2 * X1^-1 * X2^-2 * X1^-1, X2^-1 * X1^-2 * X2^10 * X1 * X2^-1 * X1 ]
Map::
	R = (1, 201, 2, 202, 6, 206, 4, 204)(3, 203, 9, 209, 21, 221, 11, 211)(5, 205, 13, 213, 18, 218, 7, 207)(8, 208, 19, 219, 34, 234, 15, 215)(10, 210, 23, 223, 49, 249, 25, 225)(12, 212, 16, 216, 35, 235, 28, 228)(14, 214, 31, 231, 61, 261, 29, 229)(17, 217, 37, 237, 73, 273, 39, 239)(20, 220, 43, 243, 81, 281, 41, 241)(22, 222, 47, 247, 86, 286, 45, 245)(24, 224, 51, 251, 83, 283, 44, 244)(26, 226, 46, 246, 87, 287, 55, 255)(27, 227, 56, 256, 102, 302, 58, 258)(30, 230, 62, 262, 79, 279, 40, 240)(32, 232, 57, 257, 104, 304, 63, 263)(33, 233, 65, 265, 113, 313, 67, 267)(36, 236, 71, 271, 121, 321, 69, 269)(38, 238, 75, 275, 123, 323, 72, 272)(42, 242, 82, 282, 119, 319, 68, 268)(48, 248, 66, 266, 115, 315, 89, 289)(50, 250, 94, 294, 146, 346, 92, 292)(52, 252, 84, 284, 116, 316, 91, 291)(53, 253, 93, 293, 117, 317, 98, 298)(54, 254, 99, 299, 153, 353, 100, 300)(59, 259, 70, 270, 122, 322, 106, 306)(60, 260, 107, 307, 120, 320, 109, 309)(64, 264, 76, 276, 124, 324, 105, 305)(74, 274, 127, 327, 177, 377, 125, 325)(77, 277, 126, 326, 88, 288, 131, 331)(78, 278, 132, 332, 101, 301, 133, 333)(80, 280, 135, 335, 85, 285, 137, 337)(90, 290, 143, 343, 172, 372, 138, 338)(95, 295, 141, 341, 185, 385, 147, 347)(96, 296, 150, 350, 189, 389, 139, 339)(97, 297, 144, 344, 191, 391, 149, 349)(103, 303, 156, 356, 194, 394, 155, 355)(108, 308, 161, 361, 178, 378, 128, 328)(110, 310, 118, 318, 171, 371, 134, 334)(111, 311, 158, 358, 176, 376, 164, 364)(112, 312, 162, 362, 180, 380, 130, 330)(114, 314, 167, 367, 196, 396, 166, 366)(129, 329, 181, 381, 152, 352, 174, 374)(136, 336, 186, 386, 165, 365, 168, 368)(140, 340, 187, 387, 163, 363, 170, 370)(142, 342, 169, 369, 145, 345, 183, 383)(148, 348, 184, 384, 197, 397, 192, 392)(151, 351, 182, 382, 198, 398, 193, 393)(154, 354, 179, 379, 199, 399, 195, 395)(157, 357, 173, 373, 160, 360, 190, 390)(159, 359, 175, 375, 200, 400, 188, 388)
	L = (1, 203)(2, 207)(3, 210)(4, 212)(5, 201)(6, 215)(7, 217)(8, 202)(9, 204)(10, 224)(11, 226)(12, 227)(13, 229)(14, 205)(15, 233)(16, 206)(17, 238)(18, 240)(19, 241)(20, 208)(21, 245)(22, 209)(23, 211)(24, 252)(25, 253)(26, 254)(27, 257)(28, 259)(29, 260)(30, 213)(31, 263)(32, 214)(33, 266)(34, 268)(35, 269)(36, 216)(37, 218)(38, 276)(39, 277)(40, 278)(41, 280)(42, 219)(43, 283)(44, 220)(45, 285)(46, 221)(47, 289)(48, 222)(49, 292)(50, 223)(51, 225)(52, 297)(53, 230)(54, 231)(55, 301)(56, 228)(57, 305)(58, 288)(59, 290)(60, 308)(61, 300)(62, 298)(63, 311)(64, 232)(65, 234)(66, 316)(67, 317)(68, 318)(69, 320)(70, 235)(71, 323)(72, 236)(73, 325)(74, 237)(75, 239)(76, 330)(77, 242)(78, 243)(79, 334)(80, 336)(81, 333)(82, 331)(83, 339)(84, 244)(85, 341)(86, 338)(87, 326)(88, 246)(89, 342)(90, 247)(91, 248)(92, 345)(93, 249)(94, 347)(95, 250)(96, 251)(97, 352)(98, 313)(99, 255)(100, 322)(101, 348)(102, 355)(103, 256)(104, 258)(105, 359)(106, 353)(107, 261)(108, 362)(109, 321)(110, 262)(111, 363)(112, 264)(113, 366)(114, 265)(115, 267)(116, 370)(117, 270)(118, 271)(119, 372)(120, 373)(121, 310)(122, 293)(123, 374)(124, 272)(125, 376)(126, 273)(127, 378)(128, 274)(129, 275)(130, 383)(131, 302)(132, 279)(133, 287)(134, 379)(135, 281)(136, 387)(137, 286)(138, 282)(139, 388)(140, 284)(141, 391)(142, 380)(143, 306)(144, 291)(145, 382)(146, 392)(147, 375)(148, 294)(149, 295)(150, 393)(151, 296)(152, 394)(153, 395)(154, 299)(155, 381)(156, 390)(157, 303)(158, 304)(159, 389)(160, 307)(161, 309)(162, 386)(163, 368)(164, 377)(165, 312)(166, 350)(167, 365)(168, 314)(169, 315)(170, 364)(171, 319)(172, 397)(173, 400)(174, 349)(175, 324)(176, 398)(177, 354)(178, 344)(179, 327)(180, 328)(181, 351)(182, 329)(183, 346)(184, 332)(185, 335)(186, 337)(187, 360)(188, 357)(189, 396)(190, 340)(191, 361)(192, 343)(193, 358)(194, 399)(195, 356)(196, 384)(197, 367)(198, 369)(199, 371)(200, 385)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 50 e = 200 f = 110
	degree seq :: [ 8^50 ]

E21.3078 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = D10 x (C5 : C4) (small group id <200, 41>)
Aut   = D10 x (C5 : C4) (small group id <200, 41>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, (X1 * X2 * X1^3)^2, (X1^-3 * X2 * X1^-1)^2, (X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1)^2, X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3, X1^20 ]
Map::
	R = (1, 201, 2, 202, 5, 205, 11, 211, 23, 223, 45, 245, 80, 280, 130, 330, 176, 376, 197, 397, 194, 394, 200, 400, 196, 396, 175, 375, 129, 329, 79, 279, 44, 244, 22, 222, 10, 210, 4, 204)(3, 203, 7, 207, 15, 215, 31, 231, 59, 259, 101, 301, 154, 354, 192, 392, 199, 399, 184, 384, 141, 341, 187, 387, 198, 398, 178, 378, 134, 334, 82, 282, 46, 246, 37, 237, 18, 218, 8, 208)(6, 206, 13, 213, 27, 227, 53, 253, 43, 243, 78, 278, 128, 328, 168, 368, 195, 395, 173, 373, 179, 379, 159, 359, 193, 393, 171, 371, 121, 321, 132, 332, 81, 281, 58, 258, 30, 230, 14, 214)(9, 209, 19, 219, 38, 238, 71, 271, 117, 317, 158, 358, 112, 312, 165, 365, 191, 391, 149, 349, 94, 294, 152, 352, 177, 377, 138, 338, 85, 285, 48, 248, 24, 224, 47, 247, 40, 240, 20, 220)(12, 212, 25, 225, 49, 249, 42, 242, 21, 221, 41, 241, 76, 276, 125, 325, 169, 369, 116, 316, 162, 362, 190, 390, 160, 360, 104, 304, 64, 264, 109, 309, 131, 331, 90, 290, 52, 252, 26, 226)(16, 216, 33, 233, 63, 263, 107, 307, 70, 270, 84, 284, 136, 336, 126, 326, 174, 374, 186, 386, 140, 340, 86, 286, 139, 339, 183, 383, 146, 346, 89, 289, 145, 345, 111, 311, 65, 265, 34, 234)(17, 217, 35, 235, 66, 266, 100, 300, 133, 333, 119, 319, 72, 272, 118, 318, 170, 370, 124, 324, 75, 275, 123, 323, 172, 372, 181, 381, 137, 337, 102, 302, 60, 260, 95, 295, 55, 255, 28, 228)(29, 229, 56, 256, 96, 296, 147, 347, 106, 306, 62, 262, 32, 232, 61, 261, 103, 303, 69, 269, 36, 236, 68, 268, 115, 315, 167, 367, 127, 327, 77, 277, 91, 291, 142, 342, 87, 287, 50, 250)(39, 239, 73, 273, 120, 320, 135, 335, 83, 283, 51, 251, 88, 288, 143, 343, 182, 382, 151, 351, 93, 293, 54, 254, 92, 292, 148, 348, 99, 299, 57, 257, 98, 298, 157, 357, 122, 322, 74, 274)(67, 267, 113, 313, 166, 366, 185, 385, 153, 353, 105, 305, 161, 361, 180, 380, 156, 356, 97, 297, 155, 355, 108, 308, 163, 363, 188, 388, 150, 350, 110, 310, 164, 364, 189, 389, 144, 344, 114, 314)
	L = (1, 203)(2, 206)(3, 201)(4, 209)(5, 212)(6, 202)(7, 216)(8, 217)(9, 204)(10, 221)(11, 224)(12, 205)(13, 228)(14, 229)(15, 232)(16, 207)(17, 208)(18, 236)(19, 239)(20, 233)(21, 210)(22, 243)(23, 246)(24, 211)(25, 250)(26, 251)(27, 254)(28, 213)(29, 214)(30, 257)(31, 260)(32, 215)(33, 220)(34, 264)(35, 267)(36, 218)(37, 270)(38, 272)(39, 219)(40, 275)(41, 277)(42, 273)(43, 222)(44, 259)(45, 281)(46, 223)(47, 283)(48, 284)(49, 286)(50, 225)(51, 226)(52, 289)(53, 291)(54, 227)(55, 294)(56, 297)(57, 230)(58, 300)(59, 244)(60, 231)(61, 304)(62, 305)(63, 308)(64, 234)(65, 310)(66, 312)(67, 235)(68, 316)(69, 313)(70, 237)(71, 311)(72, 238)(73, 242)(74, 321)(75, 240)(76, 326)(77, 241)(78, 302)(79, 317)(80, 331)(81, 245)(82, 333)(83, 247)(84, 248)(85, 337)(86, 249)(87, 341)(88, 344)(89, 252)(90, 347)(91, 253)(92, 349)(93, 350)(94, 255)(95, 353)(96, 354)(97, 256)(98, 358)(99, 355)(100, 258)(101, 345)(102, 278)(103, 359)(104, 261)(105, 262)(106, 332)(107, 362)(108, 263)(109, 351)(110, 265)(111, 271)(112, 266)(113, 269)(114, 346)(115, 368)(116, 268)(117, 279)(118, 371)(119, 364)(120, 366)(121, 274)(122, 361)(123, 373)(124, 363)(125, 357)(126, 276)(127, 334)(128, 343)(129, 369)(130, 377)(131, 280)(132, 306)(133, 282)(134, 327)(135, 379)(136, 380)(137, 285)(138, 382)(139, 384)(140, 385)(141, 287)(142, 388)(143, 328)(144, 288)(145, 301)(146, 314)(147, 290)(148, 390)(149, 292)(150, 293)(151, 309)(152, 386)(153, 295)(154, 296)(155, 299)(156, 381)(157, 325)(158, 298)(159, 303)(160, 394)(161, 322)(162, 307)(163, 324)(164, 319)(165, 383)(166, 320)(167, 389)(168, 315)(169, 329)(170, 387)(171, 318)(172, 392)(173, 323)(174, 378)(175, 395)(176, 398)(177, 330)(178, 374)(179, 335)(180, 336)(181, 356)(182, 338)(183, 365)(184, 339)(185, 340)(186, 352)(187, 370)(188, 342)(189, 367)(190, 348)(191, 400)(192, 372)(193, 397)(194, 360)(195, 375)(196, 399)(197, 393)(198, 376)(199, 396)(200, 391)
	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 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 10 e = 200 f = 150
	degree seq :: [ 40^10 ]

E21.3079 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y1 * Y3 * Y2)^3, (Y2 * Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y1 * Y2 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^6, (Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1)^2, (Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 242, 2, 241)(3, 247, 7, 243)(4, 249, 9, 244)(5, 251, 11, 245)(6, 253, 13, 246)(8, 257, 17, 248)(10, 261, 21, 250)(12, 265, 25, 252)(14, 269, 29, 254)(15, 271, 31, 255)(16, 267, 27, 256)(18, 276, 36, 258)(19, 264, 24, 259)(20, 279, 39, 260)(22, 283, 43, 262)(23, 285, 45, 263)(26, 289, 49, 266)(28, 292, 52, 268)(30, 295, 55, 270)(32, 299, 59, 272)(33, 278, 38, 273)(34, 298, 58, 274)(35, 302, 62, 275)(37, 306, 66, 277)(40, 311, 71, 280)(41, 313, 73, 281)(42, 309, 69, 282)(44, 317, 77, 284)(46, 320, 80, 286)(47, 291, 51, 287)(48, 323, 83, 288)(50, 327, 87, 290)(53, 331, 91, 293)(54, 333, 93, 294)(56, 337, 97, 296)(57, 339, 99, 297)(60, 342, 102, 300)(61, 344, 104, 301)(63, 324, 84, 303)(64, 349, 109, 304)(65, 346, 106, 305)(67, 353, 113, 307)(68, 355, 115, 308)(70, 357, 117, 310)(72, 359, 119, 312)(74, 334, 94, 314)(75, 362, 122, 315)(76, 364, 124, 316)(78, 368, 128, 318)(79, 369, 129, 319)(81, 372, 132, 321)(82, 374, 134, 322)(85, 378, 138, 325)(86, 376, 136, 326)(88, 380, 140, 328)(89, 382, 142, 329)(90, 384, 144, 330)(92, 386, 146, 332)(95, 389, 149, 335)(96, 390, 150, 336)(98, 392, 152, 338)(100, 394, 154, 340)(101, 396, 156, 341)(103, 360, 120, 343)(105, 365, 125, 345)(107, 403, 163, 347)(108, 405, 165, 348)(110, 356, 116, 350)(111, 407, 167, 351)(112, 409, 169, 352)(114, 381, 141, 354)(118, 415, 175, 358)(121, 419, 179, 361)(123, 421, 181, 363)(126, 424, 184, 366)(127, 422, 182, 367)(130, 426, 186, 370)(131, 428, 188, 371)(133, 387, 147, 373)(135, 391, 151, 375)(137, 433, 193, 377)(139, 383, 143, 379)(145, 441, 201, 385)(148, 444, 204, 388)(153, 447, 207, 393)(155, 435, 195, 395)(157, 418, 178, 397)(158, 450, 210, 398)(159, 437, 197, 399)(160, 413, 173, 400)(161, 452, 212, 401)(162, 453, 213, 402)(164, 455, 215, 404)(166, 427, 187, 406)(168, 458, 218, 408)(170, 430, 190, 410)(171, 459, 219, 411)(172, 461, 221, 412)(174, 462, 222, 414)(176, 446, 206, 416)(177, 451, 211, 417)(180, 463, 223, 420)(183, 442, 202, 423)(185, 464, 224, 425)(189, 465, 225, 429)(191, 467, 227, 431)(192, 460, 220, 432)(194, 454, 214, 434)(196, 470, 230, 436)(198, 449, 209, 438)(199, 471, 231, 439)(200, 472, 232, 440)(203, 466, 226, 443)(205, 448, 208, 445)(216, 474, 234, 456)(217, 475, 235, 457)(228, 478, 238, 468)(229, 479, 239, 469)(233, 477, 237, 473)(236, 480, 240, 476)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 33)(17, 34)(20, 40)(21, 41)(22, 44)(24, 47)(25, 42)(28, 53)(29, 54)(30, 56)(31, 57)(32, 60)(35, 63)(36, 64)(37, 67)(38, 68)(39, 69)(43, 75)(45, 79)(46, 81)(48, 84)(49, 85)(50, 88)(51, 89)(52, 58)(55, 95)(59, 65)(61, 105)(62, 106)(66, 111)(70, 118)(71, 101)(72, 120)(73, 121)(74, 123)(76, 125)(77, 126)(78, 114)(80, 86)(82, 135)(83, 136)(87, 108)(90, 145)(91, 131)(92, 147)(93, 148)(94, 127)(96, 151)(97, 112)(98, 141)(99, 153)(100, 155)(102, 157)(103, 159)(104, 160)(107, 164)(109, 166)(110, 168)(113, 170)(115, 172)(116, 171)(117, 122)(119, 177)(124, 182)(128, 162)(129, 185)(130, 187)(132, 178)(133, 190)(134, 173)(137, 194)(138, 195)(139, 196)(140, 197)(142, 199)(143, 198)(144, 149)(146, 203)(150, 181)(152, 192)(154, 158)(156, 210)(161, 201)(163, 167)(165, 193)(169, 219)(174, 214)(175, 191)(176, 220)(179, 208)(180, 217)(183, 216)(184, 209)(186, 189)(188, 225)(200, 215)(202, 213)(204, 223)(205, 229)(206, 228)(207, 233)(211, 222)(212, 218)(221, 235)(224, 237)(226, 232)(227, 230)(231, 239)(234, 236)(238, 240)(241, 244)(242, 246)(243, 248)(245, 252)(247, 256)(249, 260)(250, 262)(251, 264)(253, 268)(254, 270)(255, 272)(257, 275)(258, 277)(259, 278)(261, 282)(263, 286)(265, 288)(266, 290)(267, 291)(269, 274)(271, 298)(273, 301)(276, 305)(279, 310)(280, 312)(281, 314)(283, 316)(284, 318)(285, 309)(287, 322)(289, 326)(292, 330)(293, 332)(294, 334)(295, 336)(296, 338)(297, 340)(299, 341)(300, 343)(302, 347)(303, 348)(304, 350)(306, 352)(307, 354)(308, 356)(311, 315)(313, 362)(317, 367)(319, 370)(320, 371)(321, 373)(323, 377)(324, 351)(325, 379)(327, 366)(328, 381)(329, 383)(331, 335)(333, 389)(337, 363)(339, 346)(342, 398)(344, 401)(345, 402)(349, 407)(353, 411)(355, 413)(357, 414)(358, 416)(359, 418)(360, 410)(361, 420)(364, 423)(365, 408)(368, 399)(369, 376)(372, 429)(374, 431)(375, 432)(378, 405)(380, 438)(382, 400)(384, 440)(385, 442)(386, 397)(387, 437)(388, 445)(390, 446)(391, 436)(392, 430)(393, 448)(394, 439)(395, 449)(396, 451)(403, 454)(404, 456)(406, 457)(409, 460)(412, 426)(415, 417)(419, 422)(421, 444)(424, 453)(425, 463)(427, 459)(428, 466)(433, 455)(434, 468)(435, 469)(441, 443)(447, 450)(452, 474)(458, 461)(462, 476)(464, 465)(467, 478)(470, 471)(472, 480)(473, 475)(477, 479)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3080
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.3080 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3 * Y1^-1)^2, (Y1 * Y3 * Y1 * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y3 * Y2)^6, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 242, 2, 245, 5, 241)(3, 248, 8, 250, 10, 243)(4, 251, 11, 253, 13, 244)(6, 256, 16, 258, 18, 246)(7, 259, 19, 261, 21, 247)(9, 264, 24, 260, 20, 249)(12, 270, 30, 272, 32, 252)(14, 274, 34, 275, 35, 254)(15, 276, 36, 278, 38, 255)(17, 281, 41, 277, 37, 257)(22, 288, 48, 290, 50, 262)(23, 291, 51, 280, 40, 263)(25, 294, 54, 296, 56, 265)(26, 286, 46, 297, 57, 266)(27, 298, 58, 285, 45, 267)(28, 300, 60, 302, 62, 268)(29, 303, 63, 305, 65, 269)(31, 307, 67, 304, 64, 271)(33, 311, 71, 313, 73, 273)(39, 317, 77, 319, 79, 279)(42, 322, 82, 324, 84, 282)(43, 315, 75, 325, 85, 283)(44, 326, 86, 314, 74, 284)(47, 330, 90, 329, 89, 287)(49, 333, 93, 299, 59, 289)(52, 337, 97, 339, 99, 292)(53, 340, 100, 342, 102, 293)(55, 344, 104, 341, 101, 295)(61, 352, 112, 312, 72, 301)(66, 358, 118, 360, 120, 306)(68, 362, 122, 323, 83, 308)(69, 356, 116, 364, 124, 309)(70, 365, 125, 355, 115, 310)(76, 372, 132, 371, 131, 316)(78, 374, 134, 327, 87, 318)(80, 378, 138, 379, 139, 320)(81, 380, 140, 381, 141, 321)(88, 389, 149, 332, 92, 328)(91, 338, 98, 359, 119, 331)(94, 395, 155, 397, 157, 334)(95, 349, 109, 398, 158, 335)(96, 399, 159, 348, 108, 336)(103, 406, 166, 407, 167, 343)(105, 409, 169, 396, 156, 345)(106, 405, 165, 411, 171, 346)(107, 412, 172, 404, 164, 347)(110, 415, 175, 414, 174, 350)(111, 369, 129, 417, 177, 351)(113, 367, 127, 419, 179, 353)(114, 420, 180, 366, 126, 354)(117, 424, 184, 423, 183, 357)(121, 384, 144, 430, 190, 361)(123, 431, 191, 429, 189, 363)(128, 375, 135, 433, 193, 368)(130, 435, 195, 373, 133, 370)(136, 387, 147, 439, 199, 376)(137, 440, 200, 386, 146, 377)(142, 444, 204, 445, 205, 382)(143, 446, 206, 438, 198, 383)(145, 413, 173, 443, 203, 385)(148, 403, 163, 449, 209, 388)(150, 451, 211, 401, 161, 390)(151, 427, 187, 402, 162, 391)(152, 453, 213, 452, 212, 392)(153, 434, 194, 400, 160, 393)(154, 454, 214, 455, 215, 394)(168, 457, 217, 465, 225, 408)(170, 447, 207, 464, 224, 410)(176, 442, 202, 421, 181, 416)(178, 469, 229, 437, 197, 418)(182, 472, 232, 425, 185, 422)(186, 474, 234, 475, 235, 426)(188, 448, 208, 432, 192, 428)(196, 470, 230, 441, 201, 436)(210, 458, 218, 468, 228, 450)(216, 480, 240, 477, 237, 456)(219, 473, 233, 460, 220, 459)(221, 476, 236, 462, 222, 461)(223, 478, 238, 466, 226, 463)(227, 479, 239, 471, 231, 467)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 26)(11, 28)(13, 23)(15, 37)(16, 39)(17, 42)(18, 43)(19, 45)(21, 40)(24, 52)(27, 59)(29, 64)(30, 66)(31, 68)(32, 69)(33, 72)(34, 73)(35, 65)(36, 74)(38, 51)(41, 80)(44, 87)(46, 89)(47, 91)(48, 92)(49, 94)(50, 95)(53, 101)(54, 103)(55, 105)(56, 106)(57, 102)(58, 108)(60, 111)(61, 107)(62, 113)(63, 115)(67, 110)(70, 98)(71, 126)(75, 131)(76, 104)(77, 133)(78, 135)(79, 136)(81, 122)(82, 142)(83, 143)(84, 144)(85, 141)(86, 146)(88, 145)(90, 148)(93, 117)(96, 160)(97, 161)(99, 162)(100, 164)(109, 174)(112, 178)(114, 181)(116, 183)(118, 185)(119, 186)(120, 187)(121, 189)(123, 170)(124, 190)(125, 192)(127, 193)(128, 191)(129, 194)(130, 188)(132, 176)(134, 150)(137, 155)(138, 201)(139, 165)(140, 203)(147, 209)(149, 210)(151, 212)(152, 207)(153, 213)(154, 169)(156, 216)(157, 217)(158, 215)(159, 205)(163, 220)(166, 222)(167, 179)(168, 224)(171, 225)(172, 226)(173, 223)(175, 219)(177, 196)(180, 218)(182, 221)(184, 231)(195, 214)(197, 206)(198, 237)(199, 229)(200, 232)(202, 233)(204, 236)(208, 238)(211, 227)(228, 234)(230, 239)(235, 240)(241, 244)(242, 247)(243, 249)(245, 255)(246, 257)(248, 263)(250, 267)(251, 269)(252, 271)(253, 273)(254, 270)(256, 280)(258, 284)(259, 286)(260, 287)(261, 288)(262, 289)(264, 293)(265, 295)(266, 294)(268, 301)(272, 310)(274, 291)(275, 300)(276, 315)(277, 316)(278, 317)(279, 318)(281, 321)(282, 323)(283, 322)(285, 328)(290, 336)(292, 338)(296, 347)(297, 337)(298, 349)(299, 350)(302, 354)(303, 356)(304, 357)(305, 358)(306, 359)(307, 361)(308, 363)(309, 362)(311, 367)(312, 368)(313, 369)(314, 370)(319, 377)(320, 341)(324, 385)(325, 378)(326, 387)(327, 388)(329, 390)(330, 391)(331, 392)(332, 393)(333, 394)(334, 396)(335, 395)(339, 403)(340, 405)(342, 406)(343, 352)(344, 408)(345, 410)(346, 409)(348, 413)(351, 416)(353, 412)(355, 422)(360, 428)(364, 415)(365, 402)(366, 400)(371, 436)(372, 411)(373, 397)(374, 437)(375, 438)(376, 433)(379, 442)(380, 430)(381, 444)(382, 389)(383, 447)(384, 446)(386, 448)(398, 424)(399, 458)(401, 459)(404, 461)(407, 463)(414, 467)(417, 468)(418, 429)(419, 469)(420, 470)(421, 471)(423, 473)(425, 435)(426, 464)(427, 474)(431, 456)(432, 476)(434, 475)(439, 451)(440, 455)(441, 460)(443, 462)(445, 478)(449, 479)(450, 452)(453, 477)(454, 465)(457, 480)(466, 472)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3079
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 6^80 ]

E21.3081 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: edge^2
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3 * Y1)^2, (Y1 * Y3 * Y2)^3, (Y1 * Y2 * Y3 * Y2 * Y1 * Y3)^2, (Y1 * Y2 * Y3 * Y2 * Y1 * Y3)^2, (Y2 * Y1)^6, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal
	R = (1, 241, 4, 244)(2, 242, 6, 246)(3, 243, 8, 248)(5, 245, 12, 252)(7, 247, 16, 256)(9, 249, 20, 260)(10, 250, 22, 262)(11, 251, 24, 264)(13, 253, 28, 268)(14, 254, 30, 270)(15, 255, 32, 272)(17, 257, 36, 276)(18, 258, 38, 278)(19, 259, 40, 280)(21, 261, 43, 283)(23, 263, 46, 286)(25, 265, 49, 289)(26, 266, 51, 291)(27, 267, 53, 293)(29, 269, 35, 275)(31, 271, 58, 298)(33, 273, 62, 302)(34, 274, 63, 303)(37, 277, 67, 307)(39, 279, 70, 310)(41, 281, 73, 313)(42, 282, 75, 315)(44, 284, 78, 318)(45, 285, 80, 320)(47, 287, 84, 324)(48, 288, 85, 325)(50, 290, 87, 327)(52, 292, 90, 330)(54, 294, 93, 333)(55, 295, 95, 335)(56, 296, 65, 305)(57, 297, 97, 337)(59, 299, 100, 340)(60, 300, 102, 342)(61, 301, 104, 344)(64, 304, 107, 347)(66, 306, 110, 350)(68, 308, 112, 352)(69, 309, 114, 354)(71, 311, 117, 357)(72, 312, 119, 359)(74, 314, 122, 362)(76, 316, 125, 365)(77, 317, 127, 367)(79, 319, 129, 369)(81, 321, 132, 372)(82, 322, 133, 373)(83, 323, 106, 346)(86, 326, 136, 376)(88, 328, 138, 378)(89, 329, 109, 349)(91, 331, 142, 382)(92, 332, 144, 384)(94, 334, 101, 341)(96, 336, 150, 390)(98, 338, 151, 391)(99, 339, 152, 392)(103, 343, 154, 394)(105, 345, 156, 396)(108, 348, 160, 400)(111, 351, 164, 404)(113, 353, 166, 406)(115, 355, 168, 408)(116, 356, 169, 409)(118, 358, 172, 412)(120, 360, 175, 415)(121, 361, 176, 416)(123, 363, 177, 417)(124, 364, 179, 419)(126, 366, 182, 422)(128, 368, 184, 424)(130, 370, 185, 425)(131, 371, 186, 426)(134, 374, 188, 428)(135, 375, 190, 430)(137, 377, 193, 433)(139, 379, 195, 435)(140, 380, 162, 402)(141, 381, 196, 436)(143, 383, 199, 439)(145, 385, 202, 442)(146, 386, 203, 443)(147, 387, 158, 398)(148, 388, 205, 445)(149, 389, 167, 407)(153, 393, 207, 447)(155, 395, 209, 449)(157, 397, 211, 451)(159, 399, 178, 418)(161, 401, 197, 437)(163, 403, 214, 454)(165, 405, 215, 455)(170, 410, 191, 431)(171, 411, 181, 421)(173, 413, 219, 459)(174, 414, 210, 450)(180, 420, 208, 448)(183, 423, 204, 444)(187, 427, 212, 452)(189, 429, 224, 464)(192, 432, 225, 465)(194, 434, 217, 457)(198, 438, 206, 446)(200, 440, 227, 467)(201, 441, 221, 461)(213, 453, 229, 469)(216, 456, 232, 472)(218, 458, 233, 473)(220, 460, 235, 475)(222, 462, 234, 474)(223, 463, 236, 476)(226, 466, 237, 477)(228, 468, 238, 478)(230, 470, 239, 479)(231, 471, 240, 480)(481, 482)(483, 487)(484, 489)(485, 491)(486, 493)(488, 497)(490, 501)(492, 505)(494, 509)(495, 511)(496, 513)(498, 517)(499, 519)(500, 521)(502, 510)(503, 525)(504, 527)(506, 530)(507, 532)(508, 534)(512, 539)(514, 520)(515, 544)(516, 545)(518, 543)(522, 554)(523, 556)(524, 557)(526, 561)(528, 533)(529, 558)(531, 565)(535, 574)(536, 576)(537, 559)(538, 578)(540, 581)(541, 583)(542, 585)(546, 589)(547, 571)(548, 591)(549, 593)(550, 595)(551, 567)(552, 598)(553, 600)(555, 603)(560, 610)(562, 602)(563, 614)(564, 615)(566, 594)(568, 617)(569, 619)(570, 620)(572, 623)(573, 625)(575, 627)(577, 626)(579, 584)(580, 592)(582, 632)(586, 611)(587, 637)(588, 639)(590, 641)(596, 599)(597, 649)(601, 609)(604, 658)(605, 660)(606, 661)(607, 653)(608, 663)(612, 618)(613, 666)(616, 671)(621, 624)(622, 676)(628, 684)(629, 686)(630, 680)(631, 678)(633, 672)(634, 659)(635, 669)(636, 681)(638, 640)(642, 652)(643, 667)(644, 693)(645, 674)(646, 675)(647, 696)(648, 679)(650, 697)(651, 665)(654, 670)(655, 700)(656, 692)(657, 664)(662, 702)(668, 685)(673, 703)(677, 695)(682, 708)(683, 687)(688, 689)(690, 698)(691, 704)(694, 710)(699, 713)(701, 706)(705, 711)(707, 717)(709, 712)(714, 716)(715, 718)(719, 720)(721, 723)(722, 725)(724, 730)(726, 734)(727, 735)(728, 738)(729, 739)(731, 743)(732, 746)(733, 747)(736, 754)(737, 755)(740, 756)(741, 762)(742, 764)(744, 768)(745, 763)(748, 769)(749, 775)(750, 776)(751, 777)(752, 780)(753, 781)(757, 786)(758, 788)(759, 789)(760, 791)(761, 792)(765, 799)(766, 802)(767, 803)(770, 806)(771, 808)(772, 809)(773, 811)(774, 812)(778, 819)(779, 787)(782, 820)(783, 793)(784, 826)(785, 828)(790, 836)(794, 841)(795, 844)(796, 824)(797, 846)(798, 848)(800, 851)(801, 807)(804, 852)(805, 813)(810, 861)(814, 866)(815, 868)(816, 869)(817, 859)(818, 834)(821, 854)(822, 873)(823, 842)(825, 875)(827, 878)(829, 850)(830, 882)(831, 883)(832, 885)(833, 849)(835, 887)(837, 890)(838, 891)(839, 893)(840, 894)(843, 847)(845, 897)(853, 907)(855, 909)(856, 888)(857, 912)(858, 914)(860, 902)(862, 917)(863, 918)(864, 920)(865, 921)(867, 870)(871, 923)(872, 876)(874, 928)(877, 930)(879, 932)(880, 933)(881, 884)(886, 926)(889, 895)(892, 938)(896, 905)(898, 936)(899, 934)(900, 941)(901, 915)(903, 927)(904, 943)(906, 910)(908, 931)(911, 913)(916, 922)(919, 946)(924, 942)(925, 945)(929, 940)(935, 951)(937, 950)(939, 954)(944, 948)(947, 952)(949, 959)(953, 955)(956, 960)(957, 958)
	L = (1, 481)(2, 482)(3, 483)(4, 484)(5, 485)(6, 486)(7, 487)(8, 488)(9, 489)(10, 490)(11, 491)(12, 492)(13, 493)(14, 494)(15, 495)(16, 496)(17, 497)(18, 498)(19, 499)(20, 500)(21, 501)(22, 502)(23, 503)(24, 504)(25, 505)(26, 506)(27, 507)(28, 508)(29, 509)(30, 510)(31, 511)(32, 512)(33, 513)(34, 514)(35, 515)(36, 516)(37, 517)(38, 518)(39, 519)(40, 520)(41, 521)(42, 522)(43, 523)(44, 524)(45, 525)(46, 526)(47, 527)(48, 528)(49, 529)(50, 530)(51, 531)(52, 532)(53, 533)(54, 534)(55, 535)(56, 536)(57, 537)(58, 538)(59, 539)(60, 540)(61, 541)(62, 542)(63, 543)(64, 544)(65, 545)(66, 546)(67, 547)(68, 548)(69, 549)(70, 550)(71, 551)(72, 552)(73, 553)(74, 554)(75, 555)(76, 556)(77, 557)(78, 558)(79, 559)(80, 560)(81, 561)(82, 562)(83, 563)(84, 564)(85, 565)(86, 566)(87, 567)(88, 568)(89, 569)(90, 570)(91, 571)(92, 572)(93, 573)(94, 574)(95, 575)(96, 576)(97, 577)(98, 578)(99, 579)(100, 580)(101, 581)(102, 582)(103, 583)(104, 584)(105, 585)(106, 586)(107, 587)(108, 588)(109, 589)(110, 590)(111, 591)(112, 592)(113, 593)(114, 594)(115, 595)(116, 596)(117, 597)(118, 598)(119, 599)(120, 600)(121, 601)(122, 602)(123, 603)(124, 604)(125, 605)(126, 606)(127, 607)(128, 608)(129, 609)(130, 610)(131, 611)(132, 612)(133, 613)(134, 614)(135, 615)(136, 616)(137, 617)(138, 618)(139, 619)(140, 620)(141, 621)(142, 622)(143, 623)(144, 624)(145, 625)(146, 626)(147, 627)(148, 628)(149, 629)(150, 630)(151, 631)(152, 632)(153, 633)(154, 634)(155, 635)(156, 636)(157, 637)(158, 638)(159, 639)(160, 640)(161, 641)(162, 642)(163, 643)(164, 644)(165, 645)(166, 646)(167, 647)(168, 648)(169, 649)(170, 650)(171, 651)(172, 652)(173, 653)(174, 654)(175, 655)(176, 656)(177, 657)(178, 658)(179, 659)(180, 660)(181, 661)(182, 662)(183, 663)(184, 664)(185, 665)(186, 666)(187, 667)(188, 668)(189, 669)(190, 670)(191, 671)(192, 672)(193, 673)(194, 674)(195, 675)(196, 676)(197, 677)(198, 678)(199, 679)(200, 680)(201, 681)(202, 682)(203, 683)(204, 684)(205, 685)(206, 686)(207, 687)(208, 688)(209, 689)(210, 690)(211, 691)(212, 692)(213, 693)(214, 694)(215, 695)(216, 696)(217, 697)(218, 698)(219, 699)(220, 700)(221, 701)(222, 702)(223, 703)(224, 704)(225, 705)(226, 706)(227, 707)(228, 708)(229, 709)(230, 710)(231, 711)(232, 712)(233, 713)(234, 714)(235, 715)(236, 716)(237, 717)(238, 718)(239, 719)(240, 720)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3084
Graph:: simple bipartite
	v = 360 e = 480 f = 80
	degree seq :: [ 2^240, 4^120 ]

E21.3082 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 3})
Quotient :: edge^2
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2 * Y3)^2, (Y2 * Y1 * Y3^-1)^2, (Y3 * Y2 * Y3 * Y1)^2, (Y3^-1 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1)^6 ]
Map:: polytopal
	R = (1, 241, 4, 244, 5, 245)(2, 242, 7, 247, 8, 248)(3, 243, 10, 250, 11, 251)(6, 246, 17, 257, 18, 258)(9, 249, 24, 264, 25, 265)(12, 252, 29, 269, 30, 270)(13, 253, 32, 272, 33, 273)(14, 254, 35, 275, 36, 276)(15, 255, 37, 277, 38, 278)(16, 256, 40, 280, 41, 281)(19, 259, 45, 285, 46, 286)(20, 260, 48, 288, 49, 289)(21, 261, 51, 291, 52, 292)(22, 262, 53, 293, 54, 294)(23, 263, 56, 296, 57, 297)(26, 266, 62, 302, 63, 303)(27, 267, 65, 305, 66, 306)(28, 268, 67, 307, 68, 308)(31, 271, 70, 310, 34, 274)(39, 279, 79, 319, 80, 320)(42, 282, 85, 325, 86, 326)(43, 283, 88, 328, 89, 329)(44, 284, 90, 330, 91, 331)(47, 287, 93, 333, 50, 290)(55, 295, 102, 342, 103, 343)(58, 298, 106, 346, 107, 347)(59, 299, 108, 348, 109, 349)(60, 300, 111, 351, 112, 352)(61, 301, 114, 354, 64, 304)(69, 309, 121, 361, 122, 362)(71, 311, 77, 317, 126, 366)(72, 312, 128, 368, 76, 316)(73, 313, 75, 315, 129, 369)(74, 314, 130, 370, 131, 371)(78, 318, 135, 375, 136, 376)(81, 321, 138, 378, 139, 379)(82, 322, 140, 380, 141, 381)(83, 323, 142, 382, 143, 383)(84, 324, 110, 350, 87, 327)(92, 332, 151, 391, 152, 392)(94, 334, 100, 340, 155, 395)(95, 335, 157, 397, 99, 339)(96, 336, 98, 338, 158, 398)(97, 337, 159, 399, 160, 400)(101, 341, 163, 403, 164, 404)(104, 344, 166, 406, 167, 407)(105, 345, 168, 408, 169, 409)(113, 353, 176, 416, 177, 417)(115, 355, 120, 360, 180, 420)(116, 356, 181, 421, 119, 359)(117, 357, 118, 358, 182, 422)(123, 363, 186, 426, 187, 427)(124, 364, 188, 428, 189, 429)(125, 365, 190, 430, 127, 367)(132, 372, 196, 436, 133, 373)(134, 374, 197, 437, 198, 438)(137, 377, 200, 440, 201, 441)(144, 384, 206, 446, 207, 447)(145, 385, 150, 390, 208, 448)(146, 386, 209, 449, 149, 389)(147, 387, 148, 388, 173, 413)(153, 393, 213, 453, 214, 454)(154, 394, 215, 455, 156, 396)(161, 401, 179, 419, 162, 402)(165, 405, 219, 459, 220, 460)(170, 410, 175, 415, 223, 463)(171, 411, 225, 465, 174, 414)(172, 412, 226, 466, 227, 467)(178, 418, 228, 468, 229, 469)(183, 423, 232, 472, 184, 424)(185, 425, 233, 473, 231, 471)(191, 431, 235, 475, 194, 434)(192, 432, 193, 433, 236, 476)(195, 435, 217, 457, 234, 474)(199, 439, 237, 477, 238, 478)(202, 442, 205, 445, 224, 464)(203, 443, 239, 479, 204, 444)(210, 450, 221, 461, 211, 451)(212, 452, 222, 462, 240, 480)(216, 456, 230, 470, 218, 458)(481, 482)(483, 489)(484, 492)(485, 494)(486, 496)(487, 499)(488, 501)(490, 502)(491, 507)(493, 511)(495, 497)(498, 523)(500, 527)(503, 535)(504, 538)(505, 540)(506, 541)(508, 536)(509, 547)(510, 542)(512, 534)(513, 552)(514, 554)(515, 555)(516, 557)(517, 533)(518, 528)(519, 558)(520, 561)(521, 563)(522, 564)(524, 559)(525, 570)(526, 565)(529, 575)(530, 577)(531, 578)(532, 580)(537, 572)(539, 567)(543, 596)(544, 562)(545, 598)(546, 600)(548, 588)(549, 560)(550, 603)(551, 605)(553, 601)(556, 612)(566, 626)(568, 628)(569, 630)(571, 620)(573, 584)(574, 634)(576, 631)(579, 641)(581, 614)(582, 645)(583, 604)(585, 643)(586, 648)(587, 646)(589, 651)(590, 652)(591, 653)(592, 655)(593, 644)(594, 658)(595, 659)(597, 656)(599, 663)(602, 664)(606, 671)(607, 654)(608, 673)(609, 668)(610, 649)(611, 675)(613, 657)(615, 679)(616, 633)(617, 677)(618, 680)(619, 666)(621, 683)(622, 662)(623, 685)(624, 678)(625, 676)(627, 686)(629, 690)(632, 691)(635, 696)(636, 684)(637, 697)(638, 693)(639, 681)(640, 672)(642, 687)(647, 702)(650, 682)(660, 665)(661, 698)(667, 713)(669, 695)(670, 694)(674, 689)(688, 692)(699, 717)(700, 708)(701, 712)(703, 716)(704, 714)(705, 719)(706, 718)(707, 710)(709, 715)(711, 720)(721, 723)(722, 726)(724, 733)(725, 735)(727, 740)(728, 742)(729, 743)(730, 746)(731, 748)(732, 745)(734, 754)(736, 759)(737, 762)(738, 764)(739, 761)(741, 770)(744, 779)(747, 784)(749, 786)(750, 774)(751, 789)(752, 791)(753, 793)(755, 796)(756, 773)(757, 772)(758, 766)(760, 802)(763, 807)(765, 809)(767, 812)(768, 814)(769, 816)(771, 819)(775, 821)(776, 824)(777, 825)(778, 823)(780, 830)(781, 833)(782, 835)(783, 837)(785, 839)(787, 832)(788, 827)(790, 844)(792, 847)(794, 822)(795, 851)(797, 853)(798, 854)(799, 843)(800, 857)(801, 856)(803, 834)(804, 864)(805, 865)(806, 867)(808, 869)(810, 863)(811, 859)(813, 873)(815, 876)(817, 855)(818, 880)(820, 882)(826, 872)(828, 890)(829, 868)(831, 894)(836, 881)(838, 861)(840, 904)(841, 905)(842, 858)(845, 879)(846, 912)(848, 914)(849, 907)(850, 874)(852, 866)(860, 922)(862, 924)(870, 931)(871, 932)(875, 915)(877, 938)(878, 887)(883, 898)(884, 919)(885, 918)(886, 941)(888, 909)(889, 940)(891, 944)(892, 917)(893, 947)(895, 910)(896, 911)(897, 939)(899, 946)(900, 950)(901, 951)(902, 949)(903, 942)(906, 952)(908, 954)(913, 945)(916, 948)(920, 934)(921, 958)(923, 943)(925, 935)(926, 936)(927, 957)(928, 955)(929, 960)(930, 953)(933, 956)(937, 959)
	L = (1, 481)(2, 482)(3, 483)(4, 484)(5, 485)(6, 486)(7, 487)(8, 488)(9, 489)(10, 490)(11, 491)(12, 492)(13, 493)(14, 494)(15, 495)(16, 496)(17, 497)(18, 498)(19, 499)(20, 500)(21, 501)(22, 502)(23, 503)(24, 504)(25, 505)(26, 506)(27, 507)(28, 508)(29, 509)(30, 510)(31, 511)(32, 512)(33, 513)(34, 514)(35, 515)(36, 516)(37, 517)(38, 518)(39, 519)(40, 520)(41, 521)(42, 522)(43, 523)(44, 524)(45, 525)(46, 526)(47, 527)(48, 528)(49, 529)(50, 530)(51, 531)(52, 532)(53, 533)(54, 534)(55, 535)(56, 536)(57, 537)(58, 538)(59, 539)(60, 540)(61, 541)(62, 542)(63, 543)(64, 544)(65, 545)(66, 546)(67, 547)(68, 548)(69, 549)(70, 550)(71, 551)(72, 552)(73, 553)(74, 554)(75, 555)(76, 556)(77, 557)(78, 558)(79, 559)(80, 560)(81, 561)(82, 562)(83, 563)(84, 564)(85, 565)(86, 566)(87, 567)(88, 568)(89, 569)(90, 570)(91, 571)(92, 572)(93, 573)(94, 574)(95, 575)(96, 576)(97, 577)(98, 578)(99, 579)(100, 580)(101, 581)(102, 582)(103, 583)(104, 584)(105, 585)(106, 586)(107, 587)(108, 588)(109, 589)(110, 590)(111, 591)(112, 592)(113, 593)(114, 594)(115, 595)(116, 596)(117, 597)(118, 598)(119, 599)(120, 600)(121, 601)(122, 602)(123, 603)(124, 604)(125, 605)(126, 606)(127, 607)(128, 608)(129, 609)(130, 610)(131, 611)(132, 612)(133, 613)(134, 614)(135, 615)(136, 616)(137, 617)(138, 618)(139, 619)(140, 620)(141, 621)(142, 622)(143, 623)(144, 624)(145, 625)(146, 626)(147, 627)(148, 628)(149, 629)(150, 630)(151, 631)(152, 632)(153, 633)(154, 634)(155, 635)(156, 636)(157, 637)(158, 638)(159, 639)(160, 640)(161, 641)(162, 642)(163, 643)(164, 644)(165, 645)(166, 646)(167, 647)(168, 648)(169, 649)(170, 650)(171, 651)(172, 652)(173, 653)(174, 654)(175, 655)(176, 656)(177, 657)(178, 658)(179, 659)(180, 660)(181, 661)(182, 662)(183, 663)(184, 664)(185, 665)(186, 666)(187, 667)(188, 668)(189, 669)(190, 670)(191, 671)(192, 672)(193, 673)(194, 674)(195, 675)(196, 676)(197, 677)(198, 678)(199, 679)(200, 680)(201, 681)(202, 682)(203, 683)(204, 684)(205, 685)(206, 686)(207, 687)(208, 688)(209, 689)(210, 690)(211, 691)(212, 692)(213, 693)(214, 694)(215, 695)(216, 696)(217, 697)(218, 698)(219, 699)(220, 700)(221, 701)(222, 702)(223, 703)(224, 704)(225, 705)(226, 706)(227, 707)(228, 708)(229, 709)(230, 710)(231, 711)(232, 712)(233, 713)(234, 714)(235, 715)(236, 716)(237, 717)(238, 718)(239, 719)(240, 720)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3083
Graph:: simple bipartite
	v = 320 e = 480 f = 120
	degree seq :: [ 2^240, 6^80 ]

E21.3083 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 3})
Quotient :: loop^2
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3 * Y1)^2, (Y1 * Y3 * Y2)^3, (Y1 * Y2 * Y3 * Y2 * Y1 * Y3)^2, (Y1 * Y2 * Y3 * Y2 * Y1 * Y3)^2, (Y2 * Y1)^6, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1)^2 ]
Map::
	R = (1, 241, 481, 721, 4, 244, 484, 724)(2, 242, 482, 722, 6, 246, 486, 726)(3, 243, 483, 723, 8, 248, 488, 728)(5, 245, 485, 725, 12, 252, 492, 732)(7, 247, 487, 727, 16, 256, 496, 736)(9, 249, 489, 729, 20, 260, 500, 740)(10, 250, 490, 730, 22, 262, 502, 742)(11, 251, 491, 731, 24, 264, 504, 744)(13, 253, 493, 733, 28, 268, 508, 748)(14, 254, 494, 734, 30, 270, 510, 750)(15, 255, 495, 735, 32, 272, 512, 752)(17, 257, 497, 737, 36, 276, 516, 756)(18, 258, 498, 738, 38, 278, 518, 758)(19, 259, 499, 739, 40, 280, 520, 760)(21, 261, 501, 741, 43, 283, 523, 763)(23, 263, 503, 743, 46, 286, 526, 766)(25, 265, 505, 745, 49, 289, 529, 769)(26, 266, 506, 746, 51, 291, 531, 771)(27, 267, 507, 747, 53, 293, 533, 773)(29, 269, 509, 749, 35, 275, 515, 755)(31, 271, 511, 751, 58, 298, 538, 778)(33, 273, 513, 753, 62, 302, 542, 782)(34, 274, 514, 754, 63, 303, 543, 783)(37, 277, 517, 757, 67, 307, 547, 787)(39, 279, 519, 759, 70, 310, 550, 790)(41, 281, 521, 761, 73, 313, 553, 793)(42, 282, 522, 762, 75, 315, 555, 795)(44, 284, 524, 764, 78, 318, 558, 798)(45, 285, 525, 765, 80, 320, 560, 800)(47, 287, 527, 767, 84, 324, 564, 804)(48, 288, 528, 768, 85, 325, 565, 805)(50, 290, 530, 770, 87, 327, 567, 807)(52, 292, 532, 772, 90, 330, 570, 810)(54, 294, 534, 774, 93, 333, 573, 813)(55, 295, 535, 775, 95, 335, 575, 815)(56, 296, 536, 776, 65, 305, 545, 785)(57, 297, 537, 777, 97, 337, 577, 817)(59, 299, 539, 779, 100, 340, 580, 820)(60, 300, 540, 780, 102, 342, 582, 822)(61, 301, 541, 781, 104, 344, 584, 824)(64, 304, 544, 784, 107, 347, 587, 827)(66, 306, 546, 786, 110, 350, 590, 830)(68, 308, 548, 788, 112, 352, 592, 832)(69, 309, 549, 789, 114, 354, 594, 834)(71, 311, 551, 791, 117, 357, 597, 837)(72, 312, 552, 792, 119, 359, 599, 839)(74, 314, 554, 794, 122, 362, 602, 842)(76, 316, 556, 796, 125, 365, 605, 845)(77, 317, 557, 797, 127, 367, 607, 847)(79, 319, 559, 799, 129, 369, 609, 849)(81, 321, 561, 801, 132, 372, 612, 852)(82, 322, 562, 802, 133, 373, 613, 853)(83, 323, 563, 803, 106, 346, 586, 826)(86, 326, 566, 806, 136, 376, 616, 856)(88, 328, 568, 808, 138, 378, 618, 858)(89, 329, 569, 809, 109, 349, 589, 829)(91, 331, 571, 811, 142, 382, 622, 862)(92, 332, 572, 812, 144, 384, 624, 864)(94, 334, 574, 814, 101, 341, 581, 821)(96, 336, 576, 816, 150, 390, 630, 870)(98, 338, 578, 818, 151, 391, 631, 871)(99, 339, 579, 819, 152, 392, 632, 872)(103, 343, 583, 823, 154, 394, 634, 874)(105, 345, 585, 825, 156, 396, 636, 876)(108, 348, 588, 828, 160, 400, 640, 880)(111, 351, 591, 831, 164, 404, 644, 884)(113, 353, 593, 833, 166, 406, 646, 886)(115, 355, 595, 835, 168, 408, 648, 888)(116, 356, 596, 836, 169, 409, 649, 889)(118, 358, 598, 838, 172, 412, 652, 892)(120, 360, 600, 840, 175, 415, 655, 895)(121, 361, 601, 841, 176, 416, 656, 896)(123, 363, 603, 843, 177, 417, 657, 897)(124, 364, 604, 844, 179, 419, 659, 899)(126, 366, 606, 846, 182, 422, 662, 902)(128, 368, 608, 848, 184, 424, 664, 904)(130, 370, 610, 850, 185, 425, 665, 905)(131, 371, 611, 851, 186, 426, 666, 906)(134, 374, 614, 854, 188, 428, 668, 908)(135, 375, 615, 855, 190, 430, 670, 910)(137, 377, 617, 857, 193, 433, 673, 913)(139, 379, 619, 859, 195, 435, 675, 915)(140, 380, 620, 860, 162, 402, 642, 882)(141, 381, 621, 861, 196, 436, 676, 916)(143, 383, 623, 863, 199, 439, 679, 919)(145, 385, 625, 865, 202, 442, 682, 922)(146, 386, 626, 866, 203, 443, 683, 923)(147, 387, 627, 867, 158, 398, 638, 878)(148, 388, 628, 868, 205, 445, 685, 925)(149, 389, 629, 869, 167, 407, 647, 887)(153, 393, 633, 873, 207, 447, 687, 927)(155, 395, 635, 875, 209, 449, 689, 929)(157, 397, 637, 877, 211, 451, 691, 931)(159, 399, 639, 879, 178, 418, 658, 898)(161, 401, 641, 881, 197, 437, 677, 917)(163, 403, 643, 883, 214, 454, 694, 934)(165, 405, 645, 885, 215, 455, 695, 935)(170, 410, 650, 890, 191, 431, 671, 911)(171, 411, 651, 891, 181, 421, 661, 901)(173, 413, 653, 893, 219, 459, 699, 939)(174, 414, 654, 894, 210, 450, 690, 930)(180, 420, 660, 900, 208, 448, 688, 928)(183, 423, 663, 903, 204, 444, 684, 924)(187, 427, 667, 907, 212, 452, 692, 932)(189, 429, 669, 909, 224, 464, 704, 944)(192, 432, 672, 912, 225, 465, 705, 945)(194, 434, 674, 914, 217, 457, 697, 937)(198, 438, 678, 918, 206, 446, 686, 926)(200, 440, 680, 920, 227, 467, 707, 947)(201, 441, 681, 921, 221, 461, 701, 941)(213, 453, 693, 933, 229, 469, 709, 949)(216, 456, 696, 936, 232, 472, 712, 952)(218, 458, 698, 938, 233, 473, 713, 953)(220, 460, 700, 940, 235, 475, 715, 955)(222, 462, 702, 942, 234, 474, 714, 954)(223, 463, 703, 943, 236, 476, 716, 956)(226, 466, 706, 946, 237, 477, 717, 957)(228, 468, 708, 948, 238, 478, 718, 958)(230, 470, 710, 950, 239, 479, 719, 959)(231, 471, 711, 951, 240, 480, 720, 960)
	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, 271)(16, 273)(17, 248)(18, 277)(19, 279)(20, 281)(21, 250)(22, 270)(23, 285)(24, 287)(25, 252)(26, 290)(27, 292)(28, 294)(29, 254)(30, 262)(31, 255)(32, 299)(33, 256)(34, 280)(35, 304)(36, 305)(37, 258)(38, 303)(39, 259)(40, 274)(41, 260)(42, 314)(43, 316)(44, 317)(45, 263)(46, 321)(47, 264)(48, 293)(49, 318)(50, 266)(51, 325)(52, 267)(53, 288)(54, 268)(55, 334)(56, 336)(57, 319)(58, 338)(59, 272)(60, 341)(61, 343)(62, 345)(63, 278)(64, 275)(65, 276)(66, 349)(67, 331)(68, 351)(69, 353)(70, 355)(71, 327)(72, 358)(73, 360)(74, 282)(75, 363)(76, 283)(77, 284)(78, 289)(79, 297)(80, 370)(81, 286)(82, 362)(83, 374)(84, 375)(85, 291)(86, 354)(87, 311)(88, 377)(89, 379)(90, 380)(91, 307)(92, 383)(93, 385)(94, 295)(95, 387)(96, 296)(97, 386)(98, 298)(99, 344)(100, 352)(101, 300)(102, 392)(103, 301)(104, 339)(105, 302)(106, 371)(107, 397)(108, 399)(109, 306)(110, 401)(111, 308)(112, 340)(113, 309)(114, 326)(115, 310)(116, 359)(117, 409)(118, 312)(119, 356)(120, 313)(121, 369)(122, 322)(123, 315)(124, 418)(125, 420)(126, 421)(127, 413)(128, 423)(129, 361)(130, 320)(131, 346)(132, 378)(133, 426)(134, 323)(135, 324)(136, 431)(137, 328)(138, 372)(139, 329)(140, 330)(141, 384)(142, 436)(143, 332)(144, 381)(145, 333)(146, 337)(147, 335)(148, 444)(149, 446)(150, 440)(151, 438)(152, 342)(153, 432)(154, 419)(155, 429)(156, 441)(157, 347)(158, 400)(159, 348)(160, 398)(161, 350)(162, 412)(163, 427)(164, 453)(165, 434)(166, 435)(167, 456)(168, 439)(169, 357)(170, 457)(171, 425)(172, 402)(173, 367)(174, 430)(175, 460)(176, 452)(177, 424)(178, 364)(179, 394)(180, 365)(181, 366)(182, 462)(183, 368)(184, 417)(185, 411)(186, 373)(187, 403)(188, 445)(189, 395)(190, 414)(191, 376)(192, 393)(193, 463)(194, 405)(195, 406)(196, 382)(197, 455)(198, 391)(199, 408)(200, 390)(201, 396)(202, 468)(203, 447)(204, 388)(205, 428)(206, 389)(207, 443)(208, 449)(209, 448)(210, 458)(211, 464)(212, 416)(213, 404)(214, 470)(215, 437)(216, 407)(217, 410)(218, 450)(219, 473)(220, 415)(221, 466)(222, 422)(223, 433)(224, 451)(225, 471)(226, 461)(227, 477)(228, 442)(229, 472)(230, 454)(231, 465)(232, 469)(233, 459)(234, 476)(235, 478)(236, 474)(237, 467)(238, 475)(239, 480)(240, 479)(481, 723)(482, 725)(483, 721)(484, 730)(485, 722)(486, 734)(487, 735)(488, 738)(489, 739)(490, 724)(491, 743)(492, 746)(493, 747)(494, 726)(495, 727)(496, 754)(497, 755)(498, 728)(499, 729)(500, 756)(501, 762)(502, 764)(503, 731)(504, 768)(505, 763)(506, 732)(507, 733)(508, 769)(509, 775)(510, 776)(511, 777)(512, 780)(513, 781)(514, 736)(515, 737)(516, 740)(517, 786)(518, 788)(519, 789)(520, 791)(521, 792)(522, 741)(523, 745)(524, 742)(525, 799)(526, 802)(527, 803)(528, 744)(529, 748)(530, 806)(531, 808)(532, 809)(533, 811)(534, 812)(535, 749)(536, 750)(537, 751)(538, 819)(539, 787)(540, 752)(541, 753)(542, 820)(543, 793)(544, 826)(545, 828)(546, 757)(547, 779)(548, 758)(549, 759)(550, 836)(551, 760)(552, 761)(553, 783)(554, 841)(555, 844)(556, 824)(557, 846)(558, 848)(559, 765)(560, 851)(561, 807)(562, 766)(563, 767)(564, 852)(565, 813)(566, 770)(567, 801)(568, 771)(569, 772)(570, 861)(571, 773)(572, 774)(573, 805)(574, 866)(575, 868)(576, 869)(577, 859)(578, 834)(579, 778)(580, 782)(581, 854)(582, 873)(583, 842)(584, 796)(585, 875)(586, 784)(587, 878)(588, 785)(589, 850)(590, 882)(591, 883)(592, 885)(593, 849)(594, 818)(595, 887)(596, 790)(597, 890)(598, 891)(599, 893)(600, 894)(601, 794)(602, 823)(603, 847)(604, 795)(605, 897)(606, 797)(607, 843)(608, 798)(609, 833)(610, 829)(611, 800)(612, 804)(613, 907)(614, 821)(615, 909)(616, 888)(617, 912)(618, 914)(619, 817)(620, 902)(621, 810)(622, 917)(623, 918)(624, 920)(625, 921)(626, 814)(627, 870)(628, 815)(629, 816)(630, 867)(631, 923)(632, 876)(633, 822)(634, 928)(635, 825)(636, 872)(637, 930)(638, 827)(639, 932)(640, 933)(641, 884)(642, 830)(643, 831)(644, 881)(645, 832)(646, 926)(647, 835)(648, 856)(649, 895)(650, 837)(651, 838)(652, 938)(653, 839)(654, 840)(655, 889)(656, 905)(657, 845)(658, 936)(659, 934)(660, 941)(661, 915)(662, 860)(663, 927)(664, 943)(665, 896)(666, 910)(667, 853)(668, 931)(669, 855)(670, 906)(671, 913)(672, 857)(673, 911)(674, 858)(675, 901)(676, 922)(677, 862)(678, 863)(679, 946)(680, 864)(681, 865)(682, 916)(683, 871)(684, 942)(685, 945)(686, 886)(687, 903)(688, 874)(689, 940)(690, 877)(691, 908)(692, 879)(693, 880)(694, 899)(695, 951)(696, 898)(697, 950)(698, 892)(699, 954)(700, 929)(701, 900)(702, 924)(703, 904)(704, 948)(705, 925)(706, 919)(707, 952)(708, 944)(709, 959)(710, 937)(711, 935)(712, 947)(713, 955)(714, 939)(715, 953)(716, 960)(717, 958)(718, 957)(719, 949)(720, 956)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3082
Transitivity :: VT+
Graph:: bipartite
	v = 120 e = 480 f = 320
	degree seq :: [ 8^120 ]

E21.3084 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 3})
Quotient :: loop^2
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2 * Y3)^2, (Y2 * Y1 * Y3^-1)^2, (Y3 * Y2 * Y3 * Y1)^2, (Y3^-1 * Y1 * Y2 * Y1 * Y2)^2, (Y2 * Y1)^6 ]
Map::
	R = (1, 241, 481, 721, 4, 244, 484, 724, 5, 245, 485, 725)(2, 242, 482, 722, 7, 247, 487, 727, 8, 248, 488, 728)(3, 243, 483, 723, 10, 250, 490, 730, 11, 251, 491, 731)(6, 246, 486, 726, 17, 257, 497, 737, 18, 258, 498, 738)(9, 249, 489, 729, 24, 264, 504, 744, 25, 265, 505, 745)(12, 252, 492, 732, 29, 269, 509, 749, 30, 270, 510, 750)(13, 253, 493, 733, 32, 272, 512, 752, 33, 273, 513, 753)(14, 254, 494, 734, 35, 275, 515, 755, 36, 276, 516, 756)(15, 255, 495, 735, 37, 277, 517, 757, 38, 278, 518, 758)(16, 256, 496, 736, 40, 280, 520, 760, 41, 281, 521, 761)(19, 259, 499, 739, 45, 285, 525, 765, 46, 286, 526, 766)(20, 260, 500, 740, 48, 288, 528, 768, 49, 289, 529, 769)(21, 261, 501, 741, 51, 291, 531, 771, 52, 292, 532, 772)(22, 262, 502, 742, 53, 293, 533, 773, 54, 294, 534, 774)(23, 263, 503, 743, 56, 296, 536, 776, 57, 297, 537, 777)(26, 266, 506, 746, 62, 302, 542, 782, 63, 303, 543, 783)(27, 267, 507, 747, 65, 305, 545, 785, 66, 306, 546, 786)(28, 268, 508, 748, 67, 307, 547, 787, 68, 308, 548, 788)(31, 271, 511, 751, 70, 310, 550, 790, 34, 274, 514, 754)(39, 279, 519, 759, 79, 319, 559, 799, 80, 320, 560, 800)(42, 282, 522, 762, 85, 325, 565, 805, 86, 326, 566, 806)(43, 283, 523, 763, 88, 328, 568, 808, 89, 329, 569, 809)(44, 284, 524, 764, 90, 330, 570, 810, 91, 331, 571, 811)(47, 287, 527, 767, 93, 333, 573, 813, 50, 290, 530, 770)(55, 295, 535, 775, 102, 342, 582, 822, 103, 343, 583, 823)(58, 298, 538, 778, 106, 346, 586, 826, 107, 347, 587, 827)(59, 299, 539, 779, 108, 348, 588, 828, 109, 349, 589, 829)(60, 300, 540, 780, 111, 351, 591, 831, 112, 352, 592, 832)(61, 301, 541, 781, 114, 354, 594, 834, 64, 304, 544, 784)(69, 309, 549, 789, 121, 361, 601, 841, 122, 362, 602, 842)(71, 311, 551, 791, 77, 317, 557, 797, 126, 366, 606, 846)(72, 312, 552, 792, 128, 368, 608, 848, 76, 316, 556, 796)(73, 313, 553, 793, 75, 315, 555, 795, 129, 369, 609, 849)(74, 314, 554, 794, 130, 370, 610, 850, 131, 371, 611, 851)(78, 318, 558, 798, 135, 375, 615, 855, 136, 376, 616, 856)(81, 321, 561, 801, 138, 378, 618, 858, 139, 379, 619, 859)(82, 322, 562, 802, 140, 380, 620, 860, 141, 381, 621, 861)(83, 323, 563, 803, 142, 382, 622, 862, 143, 383, 623, 863)(84, 324, 564, 804, 110, 350, 590, 830, 87, 327, 567, 807)(92, 332, 572, 812, 151, 391, 631, 871, 152, 392, 632, 872)(94, 334, 574, 814, 100, 340, 580, 820, 155, 395, 635, 875)(95, 335, 575, 815, 157, 397, 637, 877, 99, 339, 579, 819)(96, 336, 576, 816, 98, 338, 578, 818, 158, 398, 638, 878)(97, 337, 577, 817, 159, 399, 639, 879, 160, 400, 640, 880)(101, 341, 581, 821, 163, 403, 643, 883, 164, 404, 644, 884)(104, 344, 584, 824, 166, 406, 646, 886, 167, 407, 647, 887)(105, 345, 585, 825, 168, 408, 648, 888, 169, 409, 649, 889)(113, 353, 593, 833, 176, 416, 656, 896, 177, 417, 657, 897)(115, 355, 595, 835, 120, 360, 600, 840, 180, 420, 660, 900)(116, 356, 596, 836, 181, 421, 661, 901, 119, 359, 599, 839)(117, 357, 597, 837, 118, 358, 598, 838, 182, 422, 662, 902)(123, 363, 603, 843, 186, 426, 666, 906, 187, 427, 667, 907)(124, 364, 604, 844, 188, 428, 668, 908, 189, 429, 669, 909)(125, 365, 605, 845, 190, 430, 670, 910, 127, 367, 607, 847)(132, 372, 612, 852, 196, 436, 676, 916, 133, 373, 613, 853)(134, 374, 614, 854, 197, 437, 677, 917, 198, 438, 678, 918)(137, 377, 617, 857, 200, 440, 680, 920, 201, 441, 681, 921)(144, 384, 624, 864, 206, 446, 686, 926, 207, 447, 687, 927)(145, 385, 625, 865, 150, 390, 630, 870, 208, 448, 688, 928)(146, 386, 626, 866, 209, 449, 689, 929, 149, 389, 629, 869)(147, 387, 627, 867, 148, 388, 628, 868, 173, 413, 653, 893)(153, 393, 633, 873, 213, 453, 693, 933, 214, 454, 694, 934)(154, 394, 634, 874, 215, 455, 695, 935, 156, 396, 636, 876)(161, 401, 641, 881, 179, 419, 659, 899, 162, 402, 642, 882)(165, 405, 645, 885, 219, 459, 699, 939, 220, 460, 700, 940)(170, 410, 650, 890, 175, 415, 655, 895, 223, 463, 703, 943)(171, 411, 651, 891, 225, 465, 705, 945, 174, 414, 654, 894)(172, 412, 652, 892, 226, 466, 706, 946, 227, 467, 707, 947)(178, 418, 658, 898, 228, 468, 708, 948, 229, 469, 709, 949)(183, 423, 663, 903, 232, 472, 712, 952, 184, 424, 664, 904)(185, 425, 665, 905, 233, 473, 713, 953, 231, 471, 711, 951)(191, 431, 671, 911, 235, 475, 715, 955, 194, 434, 674, 914)(192, 432, 672, 912, 193, 433, 673, 913, 236, 476, 716, 956)(195, 435, 675, 915, 217, 457, 697, 937, 234, 474, 714, 954)(199, 439, 679, 919, 237, 477, 717, 957, 238, 478, 718, 958)(202, 442, 682, 922, 205, 445, 685, 925, 224, 464, 704, 944)(203, 443, 683, 923, 239, 479, 719, 959, 204, 444, 684, 924)(210, 450, 690, 930, 221, 461, 701, 941, 211, 451, 691, 931)(212, 452, 692, 932, 222, 462, 702, 942, 240, 480, 720, 960)(216, 456, 696, 936, 230, 470, 710, 950, 218, 458, 698, 938)
	L = (1, 242)(2, 241)(3, 249)(4, 252)(5, 254)(6, 256)(7, 259)(8, 261)(9, 243)(10, 262)(11, 267)(12, 244)(13, 271)(14, 245)(15, 257)(16, 246)(17, 255)(18, 283)(19, 247)(20, 287)(21, 248)(22, 250)(23, 295)(24, 298)(25, 300)(26, 301)(27, 251)(28, 296)(29, 307)(30, 302)(31, 253)(32, 294)(33, 312)(34, 314)(35, 315)(36, 317)(37, 293)(38, 288)(39, 318)(40, 321)(41, 323)(42, 324)(43, 258)(44, 319)(45, 330)(46, 325)(47, 260)(48, 278)(49, 335)(50, 337)(51, 338)(52, 340)(53, 277)(54, 272)(55, 263)(56, 268)(57, 332)(58, 264)(59, 327)(60, 265)(61, 266)(62, 270)(63, 356)(64, 322)(65, 358)(66, 360)(67, 269)(68, 348)(69, 320)(70, 363)(71, 365)(72, 273)(73, 361)(74, 274)(75, 275)(76, 372)(77, 276)(78, 279)(79, 284)(80, 309)(81, 280)(82, 304)(83, 281)(84, 282)(85, 286)(86, 386)(87, 299)(88, 388)(89, 390)(90, 285)(91, 380)(92, 297)(93, 344)(94, 394)(95, 289)(96, 391)(97, 290)(98, 291)(99, 401)(100, 292)(101, 374)(102, 405)(103, 364)(104, 333)(105, 403)(106, 408)(107, 406)(108, 308)(109, 411)(110, 412)(111, 413)(112, 415)(113, 404)(114, 418)(115, 419)(116, 303)(117, 416)(118, 305)(119, 423)(120, 306)(121, 313)(122, 424)(123, 310)(124, 343)(125, 311)(126, 431)(127, 414)(128, 433)(129, 428)(130, 409)(131, 435)(132, 316)(133, 417)(134, 341)(135, 439)(136, 393)(137, 437)(138, 440)(139, 426)(140, 331)(141, 443)(142, 422)(143, 445)(144, 438)(145, 436)(146, 326)(147, 446)(148, 328)(149, 450)(150, 329)(151, 336)(152, 451)(153, 376)(154, 334)(155, 456)(156, 444)(157, 457)(158, 453)(159, 441)(160, 432)(161, 339)(162, 447)(163, 345)(164, 353)(165, 342)(166, 347)(167, 462)(168, 346)(169, 370)(170, 442)(171, 349)(172, 350)(173, 351)(174, 367)(175, 352)(176, 357)(177, 373)(178, 354)(179, 355)(180, 425)(181, 458)(182, 382)(183, 359)(184, 362)(185, 420)(186, 379)(187, 473)(188, 369)(189, 455)(190, 454)(191, 366)(192, 400)(193, 368)(194, 449)(195, 371)(196, 385)(197, 377)(198, 384)(199, 375)(200, 378)(201, 399)(202, 410)(203, 381)(204, 396)(205, 383)(206, 387)(207, 402)(208, 452)(209, 434)(210, 389)(211, 392)(212, 448)(213, 398)(214, 430)(215, 429)(216, 395)(217, 397)(218, 421)(219, 477)(220, 468)(221, 472)(222, 407)(223, 476)(224, 474)(225, 479)(226, 478)(227, 470)(228, 460)(229, 475)(230, 467)(231, 480)(232, 461)(233, 427)(234, 464)(235, 469)(236, 463)(237, 459)(238, 466)(239, 465)(240, 471)(481, 723)(482, 726)(483, 721)(484, 733)(485, 735)(486, 722)(487, 740)(488, 742)(489, 743)(490, 746)(491, 748)(492, 745)(493, 724)(494, 754)(495, 725)(496, 759)(497, 762)(498, 764)(499, 761)(500, 727)(501, 770)(502, 728)(503, 729)(504, 779)(505, 732)(506, 730)(507, 784)(508, 731)(509, 786)(510, 774)(511, 789)(512, 791)(513, 793)(514, 734)(515, 796)(516, 773)(517, 772)(518, 766)(519, 736)(520, 802)(521, 739)(522, 737)(523, 807)(524, 738)(525, 809)(526, 758)(527, 812)(528, 814)(529, 816)(530, 741)(531, 819)(532, 757)(533, 756)(534, 750)(535, 821)(536, 824)(537, 825)(538, 823)(539, 744)(540, 830)(541, 833)(542, 835)(543, 837)(544, 747)(545, 839)(546, 749)(547, 832)(548, 827)(549, 751)(550, 844)(551, 752)(552, 847)(553, 753)(554, 822)(555, 851)(556, 755)(557, 853)(558, 854)(559, 843)(560, 857)(561, 856)(562, 760)(563, 834)(564, 864)(565, 865)(566, 867)(567, 763)(568, 869)(569, 765)(570, 863)(571, 859)(572, 767)(573, 873)(574, 768)(575, 876)(576, 769)(577, 855)(578, 880)(579, 771)(580, 882)(581, 775)(582, 794)(583, 778)(584, 776)(585, 777)(586, 872)(587, 788)(588, 890)(589, 868)(590, 780)(591, 894)(592, 787)(593, 781)(594, 803)(595, 782)(596, 881)(597, 783)(598, 861)(599, 785)(600, 904)(601, 905)(602, 858)(603, 799)(604, 790)(605, 879)(606, 912)(607, 792)(608, 914)(609, 907)(610, 874)(611, 795)(612, 866)(613, 797)(614, 798)(615, 817)(616, 801)(617, 800)(618, 842)(619, 811)(620, 922)(621, 838)(622, 924)(623, 810)(624, 804)(625, 805)(626, 852)(627, 806)(628, 829)(629, 808)(630, 931)(631, 932)(632, 826)(633, 813)(634, 850)(635, 915)(636, 815)(637, 938)(638, 887)(639, 845)(640, 818)(641, 836)(642, 820)(643, 898)(644, 919)(645, 918)(646, 941)(647, 878)(648, 909)(649, 940)(650, 828)(651, 944)(652, 917)(653, 947)(654, 831)(655, 910)(656, 911)(657, 939)(658, 883)(659, 946)(660, 950)(661, 951)(662, 949)(663, 942)(664, 840)(665, 841)(666, 952)(667, 849)(668, 954)(669, 888)(670, 895)(671, 896)(672, 846)(673, 945)(674, 848)(675, 875)(676, 948)(677, 892)(678, 885)(679, 884)(680, 934)(681, 958)(682, 860)(683, 943)(684, 862)(685, 935)(686, 936)(687, 957)(688, 955)(689, 960)(690, 953)(691, 870)(692, 871)(693, 956)(694, 920)(695, 925)(696, 926)(697, 959)(698, 877)(699, 897)(700, 889)(701, 886)(702, 903)(703, 923)(704, 891)(705, 913)(706, 899)(707, 893)(708, 916)(709, 902)(710, 900)(711, 901)(712, 906)(713, 930)(714, 908)(715, 928)(716, 933)(717, 927)(718, 921)(719, 937)(720, 929)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3081
Transitivity :: VT+
Graph:: bipartite
	v = 80 e = 480 f = 360
	degree seq :: [ 12^80 ]

E21.3085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = $<480, 1187>$ (small group id <480, 1187>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 10, 250)(6, 246, 12, 252)(8, 248, 15, 255)(11, 251, 19, 259)(13, 253, 21, 261)(14, 254, 23, 263)(16, 256, 25, 265)(17, 257, 26, 266)(18, 258, 28, 268)(20, 260, 30, 270)(22, 262, 33, 273)(24, 264, 35, 275)(27, 267, 40, 280)(29, 269, 42, 282)(31, 271, 45, 285)(32, 272, 47, 287)(34, 274, 49, 289)(36, 276, 52, 292)(37, 277, 44, 284)(38, 278, 54, 294)(39, 279, 56, 296)(41, 281, 58, 298)(43, 283, 61, 301)(46, 286, 65, 305)(48, 288, 67, 307)(50, 290, 70, 310)(51, 291, 69, 309)(53, 293, 74, 314)(55, 295, 77, 317)(57, 297, 79, 319)(59, 299, 82, 322)(60, 300, 81, 321)(62, 302, 86, 326)(63, 303, 87, 327)(64, 304, 89, 329)(66, 306, 91, 331)(68, 308, 94, 334)(71, 311, 98, 338)(72, 312, 99, 339)(73, 313, 101, 341)(75, 315, 103, 343)(76, 316, 105, 345)(78, 318, 107, 347)(80, 320, 110, 350)(83, 323, 114, 354)(84, 324, 115, 355)(85, 325, 117, 357)(88, 328, 121, 361)(90, 330, 123, 363)(92, 332, 126, 366)(93, 333, 125, 365)(95, 335, 130, 370)(96, 336, 131, 371)(97, 337, 133, 373)(100, 340, 137, 377)(102, 342, 139, 379)(104, 344, 142, 382)(106, 346, 144, 384)(108, 348, 147, 387)(109, 349, 146, 386)(111, 351, 151, 391)(112, 352, 152, 392)(113, 353, 154, 394)(116, 356, 158, 398)(118, 358, 160, 400)(119, 359, 140, 380)(120, 360, 156, 396)(122, 362, 149, 389)(124, 364, 145, 385)(127, 367, 167, 407)(128, 368, 143, 383)(129, 369, 169, 409)(132, 372, 153, 393)(134, 374, 173, 413)(135, 375, 141, 381)(136, 376, 165, 405)(138, 378, 174, 414)(148, 388, 183, 423)(150, 390, 185, 425)(155, 395, 189, 429)(157, 397, 181, 421)(159, 399, 190, 430)(161, 401, 187, 427)(162, 402, 178, 418)(163, 403, 184, 424)(164, 404, 194, 434)(166, 406, 195, 435)(168, 408, 179, 419)(170, 410, 198, 438)(171, 411, 177, 417)(172, 412, 191, 431)(175, 415, 188, 428)(176, 416, 201, 441)(180, 420, 204, 444)(182, 422, 205, 445)(186, 426, 208, 448)(192, 432, 211, 451)(193, 433, 213, 453)(196, 436, 216, 456)(197, 437, 217, 457)(199, 439, 215, 455)(200, 440, 212, 452)(202, 442, 210, 450)(203, 443, 220, 460)(206, 446, 223, 463)(207, 447, 224, 464)(209, 449, 222, 462)(214, 454, 228, 468)(218, 458, 231, 471)(219, 459, 230, 470)(221, 461, 233, 473)(225, 465, 236, 476)(226, 466, 235, 475)(227, 467, 234, 474)(229, 469, 232, 472)(237, 477, 239, 479)(238, 478, 240, 480)(481, 721, 483, 723)(482, 722, 485, 725)(484, 724, 488, 728)(486, 726, 491, 731)(487, 727, 493, 733)(489, 729, 496, 736)(490, 730, 497, 737)(492, 732, 500, 740)(494, 734, 502, 742)(495, 735, 504, 744)(498, 738, 507, 747)(499, 739, 509, 749)(501, 741, 511, 751)(503, 743, 514, 754)(505, 745, 516, 756)(506, 746, 518, 758)(508, 748, 521, 761)(510, 750, 523, 763)(512, 752, 526, 766)(513, 753, 528, 768)(515, 755, 530, 770)(517, 757, 533, 773)(519, 759, 535, 775)(520, 760, 537, 777)(522, 762, 539, 779)(524, 764, 542, 782)(525, 765, 543, 783)(527, 767, 546, 786)(529, 769, 548, 788)(531, 771, 551, 791)(532, 772, 552, 792)(534, 774, 555, 795)(536, 776, 558, 798)(538, 778, 560, 800)(540, 780, 563, 803)(541, 781, 564, 804)(544, 784, 568, 808)(545, 785, 570, 810)(547, 787, 572, 812)(549, 789, 575, 815)(550, 790, 576, 816)(553, 793, 580, 820)(554, 794, 582, 822)(556, 796, 584, 824)(557, 797, 586, 826)(559, 799, 588, 828)(561, 801, 591, 831)(562, 802, 592, 832)(565, 805, 596, 836)(566, 806, 598, 838)(567, 807, 599, 839)(569, 809, 602, 842)(571, 811, 604, 844)(573, 813, 607, 847)(574, 814, 608, 848)(577, 817, 612, 852)(578, 818, 614, 854)(579, 819, 615, 855)(581, 821, 618, 858)(583, 823, 620, 860)(585, 825, 623, 863)(587, 827, 625, 865)(589, 829, 628, 868)(590, 830, 629, 869)(593, 833, 633, 873)(594, 834, 635, 875)(595, 835, 636, 876)(597, 837, 639, 879)(600, 840, 641, 881)(601, 841, 637, 877)(603, 843, 642, 882)(605, 845, 644, 884)(606, 846, 645, 885)(609, 849, 648, 888)(610, 850, 650, 890)(611, 851, 651, 891)(613, 853, 652, 892)(616, 856, 622, 862)(617, 857, 646, 886)(619, 859, 655, 895)(621, 861, 657, 897)(624, 864, 658, 898)(626, 866, 660, 900)(627, 867, 661, 901)(630, 870, 664, 904)(631, 871, 666, 906)(632, 872, 667, 907)(634, 874, 668, 908)(638, 878, 662, 902)(640, 880, 671, 911)(643, 883, 673, 913)(647, 887, 676, 916)(649, 889, 677, 917)(653, 893, 679, 919)(654, 894, 678, 918)(656, 896, 682, 922)(659, 899, 683, 923)(663, 903, 686, 926)(665, 905, 687, 927)(669, 909, 689, 929)(670, 910, 688, 928)(672, 912, 692, 932)(674, 914, 694, 934)(675, 915, 695, 935)(680, 920, 699, 939)(681, 921, 698, 938)(684, 924, 701, 941)(685, 925, 702, 942)(690, 930, 706, 946)(691, 931, 705, 945)(693, 933, 707, 947)(696, 936, 709, 949)(697, 937, 708, 948)(700, 940, 712, 952)(703, 943, 714, 954)(704, 944, 713, 953)(710, 950, 718, 958)(711, 951, 717, 957)(715, 955, 720, 960)(716, 956, 719, 959)
	L = (1, 484)(2, 486)(3, 488)(4, 481)(5, 491)(6, 482)(7, 494)(8, 483)(9, 492)(10, 498)(11, 485)(12, 489)(13, 502)(14, 487)(15, 503)(16, 500)(17, 507)(18, 490)(19, 508)(20, 496)(21, 512)(22, 493)(23, 495)(24, 514)(25, 517)(26, 519)(27, 497)(28, 499)(29, 521)(30, 524)(31, 526)(32, 501)(33, 527)(34, 504)(35, 531)(36, 533)(37, 505)(38, 535)(39, 506)(40, 536)(41, 509)(42, 540)(43, 542)(44, 510)(45, 544)(46, 511)(47, 513)(48, 546)(49, 549)(50, 551)(51, 515)(52, 553)(53, 516)(54, 556)(55, 518)(56, 520)(57, 558)(58, 561)(59, 563)(60, 522)(61, 565)(62, 523)(63, 568)(64, 525)(65, 569)(66, 528)(67, 573)(68, 575)(69, 529)(70, 577)(71, 530)(72, 580)(73, 532)(74, 581)(75, 584)(76, 534)(77, 585)(78, 537)(79, 589)(80, 591)(81, 538)(82, 593)(83, 539)(84, 596)(85, 541)(86, 597)(87, 600)(88, 543)(89, 545)(90, 602)(91, 605)(92, 607)(93, 547)(94, 609)(95, 548)(96, 612)(97, 550)(98, 613)(99, 616)(100, 552)(101, 554)(102, 618)(103, 621)(104, 555)(105, 557)(106, 623)(107, 626)(108, 628)(109, 559)(110, 630)(111, 560)(112, 633)(113, 562)(114, 634)(115, 637)(116, 564)(117, 566)(118, 639)(119, 641)(120, 567)(121, 636)(122, 570)(123, 643)(124, 644)(125, 571)(126, 646)(127, 572)(128, 648)(129, 574)(130, 649)(131, 632)(132, 576)(133, 578)(134, 652)(135, 622)(136, 579)(137, 645)(138, 582)(139, 656)(140, 657)(141, 583)(142, 615)(143, 586)(144, 659)(145, 660)(146, 587)(147, 662)(148, 588)(149, 664)(150, 590)(151, 665)(152, 611)(153, 592)(154, 594)(155, 668)(156, 601)(157, 595)(158, 661)(159, 598)(160, 672)(161, 599)(162, 673)(163, 603)(164, 604)(165, 617)(166, 606)(167, 675)(168, 608)(169, 610)(170, 677)(171, 667)(172, 614)(173, 680)(174, 681)(175, 682)(176, 619)(177, 620)(178, 683)(179, 624)(180, 625)(181, 638)(182, 627)(183, 685)(184, 629)(185, 631)(186, 687)(187, 651)(188, 635)(189, 690)(190, 691)(191, 692)(192, 640)(193, 642)(194, 684)(195, 647)(196, 695)(197, 650)(198, 698)(199, 699)(200, 653)(201, 654)(202, 655)(203, 658)(204, 674)(205, 663)(206, 702)(207, 666)(208, 705)(209, 706)(210, 669)(211, 670)(212, 671)(213, 700)(214, 701)(215, 676)(216, 710)(217, 711)(218, 678)(219, 679)(220, 693)(221, 694)(222, 686)(223, 715)(224, 716)(225, 688)(226, 689)(227, 712)(228, 717)(229, 718)(230, 696)(231, 697)(232, 707)(233, 719)(234, 720)(235, 703)(236, 704)(237, 708)(238, 709)(239, 713)(240, 714)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3086
Graph:: simple bipartite
	v = 240 e = 480 f = 200
	degree seq :: [ 4^240 ]

E21.3086 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x C2 x A5 (small group id <240, 190>)
Aut   = $<480, 1187>$ (small group id <480, 1187>)
|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 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^5, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 241, 2, 242, 5, 245)(3, 243, 8, 248, 10, 250)(4, 244, 11, 251, 7, 247)(6, 246, 13, 253, 15, 255)(9, 249, 18, 258, 17, 257)(12, 252, 21, 261, 22, 262)(14, 254, 25, 265, 24, 264)(16, 256, 27, 267, 29, 269)(19, 259, 31, 271, 32, 272)(20, 260, 33, 273, 34, 274)(23, 263, 37, 277, 39, 279)(26, 266, 41, 281, 42, 282)(28, 268, 45, 285, 44, 284)(30, 270, 47, 287, 48, 288)(35, 275, 53, 293, 54, 294)(36, 276, 55, 295, 56, 296)(38, 278, 59, 299, 58, 298)(40, 280, 61, 301, 62, 302)(43, 283, 65, 305, 67, 307)(46, 286, 69, 309, 70, 310)(49, 289, 73, 313, 74, 314)(50, 290, 75, 315, 76, 316)(51, 291, 77, 317, 78, 318)(52, 292, 79, 319, 80, 320)(57, 297, 85, 325, 87, 327)(60, 300, 89, 329, 90, 330)(63, 303, 93, 333, 94, 334)(64, 304, 95, 335, 96, 336)(66, 306, 99, 339, 98, 338)(68, 308, 101, 341, 102, 342)(71, 311, 105, 345, 106, 346)(72, 312, 107, 347, 108, 348)(81, 321, 117, 357, 118, 358)(82, 322, 119, 359, 120, 360)(83, 323, 121, 361, 122, 362)(84, 324, 123, 363, 124, 364)(86, 326, 127, 367, 126, 366)(88, 328, 129, 369, 130, 370)(91, 331, 133, 373, 134, 374)(92, 332, 135, 375, 136, 376)(97, 337, 141, 381, 140, 380)(100, 340, 144, 384, 145, 385)(103, 343, 148, 388, 149, 389)(104, 344, 150, 390, 128, 368)(109, 349, 155, 395, 156, 396)(110, 350, 157, 397, 131, 371)(111, 351, 158, 398, 137, 377)(112, 352, 159, 399, 160, 400)(113, 353, 161, 401, 162, 402)(114, 354, 163, 403, 164, 404)(115, 355, 165, 405, 166, 406)(116, 356, 167, 407, 168, 408)(125, 365, 173, 413, 172, 412)(132, 372, 178, 418, 169, 409)(138, 378, 183, 423, 170, 410)(139, 379, 184, 424, 171, 411)(142, 382, 179, 419, 186, 426)(143, 383, 187, 427, 188, 428)(146, 386, 175, 415, 190, 430)(147, 387, 191, 431, 192, 432)(151, 391, 195, 435, 196, 436)(152, 392, 182, 422, 197, 437)(153, 393, 177, 417, 198, 438)(154, 394, 199, 439, 200, 440)(174, 414, 205, 445, 210, 450)(176, 416, 208, 448, 211, 451)(180, 420, 206, 446, 213, 453)(181, 421, 207, 447, 214, 454)(185, 425, 209, 449, 204, 444)(189, 429, 219, 459, 201, 441)(193, 433, 215, 455, 202, 442)(194, 434, 222, 462, 203, 443)(212, 452, 229, 469, 216, 456)(217, 457, 223, 463, 227, 467)(218, 458, 226, 466, 232, 472)(220, 460, 224, 464, 234, 474)(221, 461, 225, 465, 231, 471)(228, 468, 230, 470, 236, 476)(233, 473, 237, 477, 235, 475)(238, 478, 239, 479, 240, 480)(481, 721, 483, 723)(482, 722, 486, 726)(484, 724, 489, 729)(485, 725, 492, 732)(487, 727, 494, 734)(488, 728, 496, 736)(490, 730, 499, 739)(491, 731, 500, 740)(493, 733, 503, 743)(495, 735, 506, 746)(497, 737, 508, 748)(498, 738, 510, 750)(501, 741, 515, 755)(502, 742, 516, 756)(504, 744, 518, 758)(505, 745, 520, 760)(507, 747, 523, 763)(509, 749, 526, 766)(511, 751, 529, 769)(512, 752, 530, 770)(513, 753, 531, 771)(514, 754, 532, 772)(517, 757, 537, 777)(519, 759, 540, 780)(521, 761, 543, 783)(522, 762, 544, 784)(524, 764, 546, 786)(525, 765, 548, 788)(527, 767, 551, 791)(528, 768, 552, 792)(533, 773, 561, 801)(534, 774, 562, 802)(535, 775, 563, 803)(536, 776, 564, 804)(538, 778, 566, 806)(539, 779, 568, 808)(541, 781, 571, 811)(542, 782, 572, 812)(545, 785, 577, 817)(547, 787, 580, 820)(549, 789, 583, 823)(550, 790, 584, 824)(553, 793, 589, 829)(554, 794, 590, 830)(555, 795, 591, 831)(556, 796, 592, 832)(557, 797, 593, 833)(558, 798, 594, 834)(559, 799, 595, 835)(560, 800, 596, 836)(565, 805, 605, 845)(567, 807, 608, 848)(569, 809, 611, 851)(570, 810, 612, 852)(573, 813, 617, 857)(574, 814, 618, 858)(575, 815, 619, 859)(576, 816, 620, 860)(578, 818, 622, 862)(579, 819, 623, 863)(581, 821, 626, 866)(582, 822, 627, 867)(585, 825, 631, 871)(586, 826, 632, 872)(587, 827, 633, 873)(588, 828, 634, 874)(597, 837, 639, 879)(598, 838, 649, 889)(599, 839, 650, 890)(600, 840, 624, 864)(601, 841, 651, 891)(602, 842, 628, 868)(603, 843, 635, 875)(604, 844, 652, 892)(606, 846, 654, 894)(607, 847, 655, 895)(609, 849, 656, 896)(610, 850, 657, 897)(613, 853, 659, 899)(614, 854, 660, 900)(615, 855, 661, 901)(616, 856, 662, 902)(621, 861, 665, 905)(625, 865, 669, 909)(629, 869, 673, 913)(630, 870, 674, 914)(636, 876, 681, 921)(637, 877, 682, 922)(638, 878, 683, 923)(640, 880, 684, 924)(641, 881, 685, 925)(642, 882, 680, 920)(643, 883, 672, 912)(644, 884, 686, 926)(645, 885, 668, 908)(646, 886, 687, 927)(647, 887, 688, 928)(648, 888, 676, 916)(653, 893, 689, 929)(658, 898, 692, 932)(663, 903, 695, 935)(664, 904, 696, 936)(666, 906, 697, 937)(667, 907, 698, 938)(670, 910, 700, 940)(671, 911, 701, 941)(675, 915, 703, 943)(677, 917, 704, 944)(678, 918, 705, 945)(679, 919, 706, 946)(690, 930, 707, 947)(691, 931, 708, 948)(693, 933, 710, 950)(694, 934, 711, 951)(699, 939, 713, 953)(702, 942, 715, 955)(709, 949, 717, 957)(712, 952, 718, 958)(714, 954, 719, 959)(716, 956, 720, 960)
	L = (1, 484)(2, 487)(3, 489)(4, 481)(5, 491)(6, 494)(7, 482)(8, 497)(9, 483)(10, 498)(11, 485)(12, 500)(13, 504)(14, 486)(15, 505)(16, 508)(17, 488)(18, 490)(19, 510)(20, 492)(21, 514)(22, 513)(23, 518)(24, 493)(25, 495)(26, 520)(27, 524)(28, 496)(29, 525)(30, 499)(31, 528)(32, 527)(33, 502)(34, 501)(35, 532)(36, 531)(37, 538)(38, 503)(39, 539)(40, 506)(41, 542)(42, 541)(43, 546)(44, 507)(45, 509)(46, 548)(47, 512)(48, 511)(49, 552)(50, 551)(51, 516)(52, 515)(53, 560)(54, 559)(55, 558)(56, 557)(57, 566)(58, 517)(59, 519)(60, 568)(61, 522)(62, 521)(63, 572)(64, 571)(65, 578)(66, 523)(67, 579)(68, 526)(69, 582)(70, 581)(71, 530)(72, 529)(73, 588)(74, 587)(75, 586)(76, 585)(77, 536)(78, 535)(79, 534)(80, 533)(81, 596)(82, 595)(83, 594)(84, 593)(85, 606)(86, 537)(87, 607)(88, 540)(89, 610)(90, 609)(91, 544)(92, 543)(93, 616)(94, 615)(95, 614)(96, 613)(97, 622)(98, 545)(99, 547)(100, 623)(101, 550)(102, 549)(103, 627)(104, 626)(105, 556)(106, 555)(107, 554)(108, 553)(109, 634)(110, 633)(111, 632)(112, 631)(113, 564)(114, 563)(115, 562)(116, 561)(117, 648)(118, 647)(119, 646)(120, 645)(121, 644)(122, 643)(123, 642)(124, 641)(125, 654)(126, 565)(127, 567)(128, 655)(129, 570)(130, 569)(131, 657)(132, 656)(133, 576)(134, 575)(135, 574)(136, 573)(137, 662)(138, 661)(139, 660)(140, 659)(141, 666)(142, 577)(143, 580)(144, 668)(145, 667)(146, 584)(147, 583)(148, 672)(149, 671)(150, 670)(151, 592)(152, 591)(153, 590)(154, 589)(155, 680)(156, 679)(157, 678)(158, 677)(159, 676)(160, 675)(161, 604)(162, 603)(163, 602)(164, 601)(165, 600)(166, 599)(167, 598)(168, 597)(169, 688)(170, 687)(171, 686)(172, 685)(173, 690)(174, 605)(175, 608)(176, 612)(177, 611)(178, 691)(179, 620)(180, 619)(181, 618)(182, 617)(183, 694)(184, 693)(185, 697)(186, 621)(187, 625)(188, 624)(189, 698)(190, 630)(191, 629)(192, 628)(193, 701)(194, 700)(195, 640)(196, 639)(197, 638)(198, 637)(199, 636)(200, 635)(201, 706)(202, 705)(203, 704)(204, 703)(205, 652)(206, 651)(207, 650)(208, 649)(209, 707)(210, 653)(211, 658)(212, 708)(213, 664)(214, 663)(215, 711)(216, 710)(217, 665)(218, 669)(219, 712)(220, 674)(221, 673)(222, 714)(223, 684)(224, 683)(225, 682)(226, 681)(227, 689)(228, 692)(229, 716)(230, 696)(231, 695)(232, 699)(233, 718)(234, 702)(235, 719)(236, 709)(237, 720)(238, 713)(239, 715)(240, 717)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3085
Graph:: simple bipartite
	v = 200 e = 480 f = 240
	degree seq :: [ 4^120, 6^80 ]

E21.3087 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1^-1 * T2^-1 * T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 54, 25)(13, 31, 67, 32)(14, 33, 70, 34)(15, 35, 73, 36)(17, 39, 80, 40)(18, 41, 83, 42)(19, 43, 86, 44)(22, 49, 96, 50)(23, 51, 100, 52)(26, 58, 109, 56)(28, 61, 116, 62)(29, 63, 118, 64)(30, 65, 88, 45)(37, 75, 135, 76)(38, 77, 139, 78)(47, 91, 159, 92)(48, 93, 160, 94)(53, 104, 172, 102)(55, 107, 178, 108)(57, 110, 161, 95)(59, 111, 180, 112)(60, 113, 183, 114)(66, 103, 173, 121)(68, 124, 191, 125)(69, 97, 164, 126)(71, 129, 195, 130)(72, 99, 167, 131)(74, 133, 198, 134)(79, 143, 204, 141)(81, 145, 194, 128)(82, 142, 205, 146)(84, 149, 162, 150)(85, 136, 188, 122)(87, 138, 201, 153)(89, 155, 187, 119)(90, 156, 213, 157)(98, 165, 218, 166)(101, 170, 220, 171)(105, 174, 148, 175)(106, 176, 184, 115)(117, 177, 169, 152)(120, 181, 208, 147)(123, 189, 185, 190)(127, 192, 224, 193)(132, 196, 225, 197)(137, 199, 226, 200)(140, 168, 219, 203)(144, 206, 186, 207)(151, 209, 229, 210)(154, 211, 230, 212)(158, 202, 227, 214)(163, 182, 223, 216)(179, 222, 232, 215)(217, 231, 238, 233)(221, 235, 239, 234)(228, 237, 240, 236)(241, 242, 244)(243, 248, 250)(245, 253, 254)(246, 255, 257)(247, 258, 259)(249, 262, 263)(251, 266, 268)(252, 269, 270)(256, 277, 278)(260, 285, 287)(261, 288, 280)(264, 293, 295)(265, 296, 297)(267, 299, 300)(271, 306, 283)(272, 308, 309)(273, 303, 311)(274, 312, 275)(276, 314, 302)(279, 319, 321)(281, 322, 305)(282, 324, 325)(284, 327, 298)(286, 329, 330)(289, 335, 337)(290, 338, 332)(291, 339, 341)(292, 342, 343)(294, 345, 346)(301, 355, 357)(304, 359, 360)(307, 362, 363)(310, 367, 368)(313, 364, 372)(315, 334, 376)(316, 377, 371)(317, 378, 380)(318, 381, 382)(320, 384, 344)(323, 387, 388)(326, 391, 392)(328, 394, 348)(331, 398, 353)(333, 373, 350)(336, 402, 403)(340, 408, 409)(347, 417, 385)(349, 389, 419)(351, 374, 421)(352, 422, 393)(354, 424, 369)(356, 425, 383)(358, 366, 426)(361, 386, 370)(365, 427, 390)(375, 395, 406)(379, 442, 418)(396, 446, 433)(397, 454, 438)(399, 441, 407)(400, 455, 443)(401, 437, 411)(404, 457, 416)(405, 451, 413)(410, 434, 423)(412, 428, 461)(414, 452, 462)(415, 429, 447)(420, 431, 440)(430, 450, 436)(432, 445, 439)(435, 463, 449)(444, 448, 468)(453, 471, 460)(456, 473, 470)(458, 474, 464)(459, 465, 475)(466, 476, 469)(467, 472, 477)(478, 479, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3088
Transitivity :: ET+
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 3^80, 4^60 ]

E21.3088 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1^-1 * T2^-1 * T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 241, 3, 243, 9, 249, 5, 245)(2, 242, 6, 246, 16, 256, 7, 247)(4, 244, 11, 251, 27, 267, 12, 252)(8, 248, 20, 260, 46, 286, 21, 261)(10, 250, 24, 264, 54, 294, 25, 265)(13, 253, 31, 271, 67, 307, 32, 272)(14, 254, 33, 273, 70, 310, 34, 274)(15, 255, 35, 275, 73, 313, 36, 276)(17, 257, 39, 279, 80, 320, 40, 280)(18, 258, 41, 281, 83, 323, 42, 282)(19, 259, 43, 283, 86, 326, 44, 284)(22, 262, 49, 289, 96, 336, 50, 290)(23, 263, 51, 291, 100, 340, 52, 292)(26, 266, 58, 298, 109, 349, 56, 296)(28, 268, 61, 301, 116, 356, 62, 302)(29, 269, 63, 303, 118, 358, 64, 304)(30, 270, 65, 305, 88, 328, 45, 285)(37, 277, 75, 315, 135, 375, 76, 316)(38, 278, 77, 317, 139, 379, 78, 318)(47, 287, 91, 331, 159, 399, 92, 332)(48, 288, 93, 333, 160, 400, 94, 334)(53, 293, 104, 344, 172, 412, 102, 342)(55, 295, 107, 347, 178, 418, 108, 348)(57, 297, 110, 350, 161, 401, 95, 335)(59, 299, 111, 351, 180, 420, 112, 352)(60, 300, 113, 353, 183, 423, 114, 354)(66, 306, 103, 343, 173, 413, 121, 361)(68, 308, 124, 364, 191, 431, 125, 365)(69, 309, 97, 337, 164, 404, 126, 366)(71, 311, 129, 369, 195, 435, 130, 370)(72, 312, 99, 339, 167, 407, 131, 371)(74, 314, 133, 373, 198, 438, 134, 374)(79, 319, 143, 383, 204, 444, 141, 381)(81, 321, 145, 385, 194, 434, 128, 368)(82, 322, 142, 382, 205, 445, 146, 386)(84, 324, 149, 389, 162, 402, 150, 390)(85, 325, 136, 376, 188, 428, 122, 362)(87, 327, 138, 378, 201, 441, 153, 393)(89, 329, 155, 395, 187, 427, 119, 359)(90, 330, 156, 396, 213, 453, 157, 397)(98, 338, 165, 405, 218, 458, 166, 406)(101, 341, 170, 410, 220, 460, 171, 411)(105, 345, 174, 414, 148, 388, 175, 415)(106, 346, 176, 416, 184, 424, 115, 355)(117, 357, 177, 417, 169, 409, 152, 392)(120, 360, 181, 421, 208, 448, 147, 387)(123, 363, 189, 429, 185, 425, 190, 430)(127, 367, 192, 432, 224, 464, 193, 433)(132, 372, 196, 436, 225, 465, 197, 437)(137, 377, 199, 439, 226, 466, 200, 440)(140, 380, 168, 408, 219, 459, 203, 443)(144, 384, 206, 446, 186, 426, 207, 447)(151, 391, 209, 449, 229, 469, 210, 450)(154, 394, 211, 451, 230, 470, 212, 452)(158, 398, 202, 442, 227, 467, 214, 454)(163, 403, 182, 422, 223, 463, 216, 456)(179, 419, 222, 462, 232, 472, 215, 455)(217, 457, 231, 471, 238, 478, 233, 473)(221, 461, 235, 475, 239, 479, 234, 474)(228, 468, 237, 477, 240, 480, 236, 476)
	L = (1, 242)(2, 244)(3, 248)(4, 241)(5, 253)(6, 255)(7, 258)(8, 250)(9, 262)(10, 243)(11, 266)(12, 269)(13, 254)(14, 245)(15, 257)(16, 277)(17, 246)(18, 259)(19, 247)(20, 285)(21, 288)(22, 263)(23, 249)(24, 293)(25, 296)(26, 268)(27, 299)(28, 251)(29, 270)(30, 252)(31, 306)(32, 308)(33, 303)(34, 312)(35, 274)(36, 314)(37, 278)(38, 256)(39, 319)(40, 261)(41, 322)(42, 324)(43, 271)(44, 327)(45, 287)(46, 329)(47, 260)(48, 280)(49, 335)(50, 338)(51, 339)(52, 342)(53, 295)(54, 345)(55, 264)(56, 297)(57, 265)(58, 284)(59, 300)(60, 267)(61, 355)(62, 276)(63, 311)(64, 359)(65, 281)(66, 283)(67, 362)(68, 309)(69, 272)(70, 367)(71, 273)(72, 275)(73, 364)(74, 302)(75, 334)(76, 377)(77, 378)(78, 381)(79, 321)(80, 384)(81, 279)(82, 305)(83, 387)(84, 325)(85, 282)(86, 391)(87, 298)(88, 394)(89, 330)(90, 286)(91, 398)(92, 290)(93, 373)(94, 376)(95, 337)(96, 402)(97, 289)(98, 332)(99, 341)(100, 408)(101, 291)(102, 343)(103, 292)(104, 320)(105, 346)(106, 294)(107, 417)(108, 328)(109, 389)(110, 333)(111, 374)(112, 422)(113, 331)(114, 424)(115, 357)(116, 425)(117, 301)(118, 366)(119, 360)(120, 304)(121, 386)(122, 363)(123, 307)(124, 372)(125, 427)(126, 426)(127, 368)(128, 310)(129, 354)(130, 361)(131, 316)(132, 313)(133, 350)(134, 421)(135, 395)(136, 315)(137, 371)(138, 380)(139, 442)(140, 317)(141, 382)(142, 318)(143, 356)(144, 344)(145, 347)(146, 370)(147, 388)(148, 323)(149, 419)(150, 365)(151, 392)(152, 326)(153, 352)(154, 348)(155, 406)(156, 446)(157, 454)(158, 353)(159, 441)(160, 455)(161, 437)(162, 403)(163, 336)(164, 457)(165, 451)(166, 375)(167, 399)(168, 409)(169, 340)(170, 434)(171, 401)(172, 428)(173, 405)(174, 452)(175, 429)(176, 404)(177, 385)(178, 379)(179, 349)(180, 431)(181, 351)(182, 393)(183, 410)(184, 369)(185, 383)(186, 358)(187, 390)(188, 461)(189, 447)(190, 450)(191, 440)(192, 445)(193, 396)(194, 423)(195, 463)(196, 430)(197, 411)(198, 397)(199, 432)(200, 420)(201, 407)(202, 418)(203, 400)(204, 448)(205, 439)(206, 433)(207, 415)(208, 468)(209, 435)(210, 436)(211, 413)(212, 462)(213, 471)(214, 438)(215, 443)(216, 473)(217, 416)(218, 474)(219, 465)(220, 453)(221, 412)(222, 414)(223, 449)(224, 458)(225, 475)(226, 476)(227, 472)(228, 444)(229, 466)(230, 456)(231, 460)(232, 477)(233, 470)(234, 464)(235, 459)(236, 469)(237, 467)(238, 479)(239, 480)(240, 478)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3087
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.3089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^2 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y3 * Y2^-1 * Y1^-1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y3^-1 * Y2^-2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1 * Y2 ]
Map::
	R = (1, 241, 2, 242, 4, 244)(3, 243, 8, 248, 10, 250)(5, 245, 13, 253, 14, 254)(6, 246, 15, 255, 17, 257)(7, 247, 18, 258, 19, 259)(9, 249, 22, 262, 23, 263)(11, 251, 26, 266, 28, 268)(12, 252, 29, 269, 30, 270)(16, 256, 37, 277, 38, 278)(20, 260, 45, 285, 47, 287)(21, 261, 48, 288, 40, 280)(24, 264, 53, 293, 55, 295)(25, 265, 56, 296, 57, 297)(27, 267, 59, 299, 60, 300)(31, 271, 66, 306, 43, 283)(32, 272, 68, 308, 69, 309)(33, 273, 63, 303, 71, 311)(34, 274, 72, 312, 35, 275)(36, 276, 74, 314, 62, 302)(39, 279, 79, 319, 81, 321)(41, 281, 82, 322, 65, 305)(42, 282, 84, 324, 85, 325)(44, 284, 87, 327, 58, 298)(46, 286, 89, 329, 90, 330)(49, 289, 95, 335, 97, 337)(50, 290, 98, 338, 92, 332)(51, 291, 99, 339, 101, 341)(52, 292, 102, 342, 103, 343)(54, 294, 105, 345, 106, 346)(61, 301, 115, 355, 117, 357)(64, 304, 119, 359, 120, 360)(67, 307, 122, 362, 123, 363)(70, 310, 127, 367, 128, 368)(73, 313, 124, 364, 132, 372)(75, 315, 94, 334, 136, 376)(76, 316, 137, 377, 131, 371)(77, 317, 138, 378, 140, 380)(78, 318, 141, 381, 142, 382)(80, 320, 144, 384, 104, 344)(83, 323, 147, 387, 148, 388)(86, 326, 151, 391, 152, 392)(88, 328, 154, 394, 108, 348)(91, 331, 158, 398, 113, 353)(93, 333, 133, 373, 110, 350)(96, 336, 162, 402, 163, 403)(100, 340, 168, 408, 169, 409)(107, 347, 177, 417, 145, 385)(109, 349, 149, 389, 179, 419)(111, 351, 134, 374, 181, 421)(112, 352, 182, 422, 153, 393)(114, 354, 184, 424, 129, 369)(116, 356, 185, 425, 143, 383)(118, 358, 126, 366, 186, 426)(121, 361, 146, 386, 130, 370)(125, 365, 187, 427, 150, 390)(135, 375, 155, 395, 166, 406)(139, 379, 202, 442, 178, 418)(156, 396, 206, 446, 193, 433)(157, 397, 214, 454, 198, 438)(159, 399, 201, 441, 167, 407)(160, 400, 215, 455, 203, 443)(161, 401, 197, 437, 171, 411)(164, 404, 217, 457, 176, 416)(165, 405, 211, 451, 173, 413)(170, 410, 194, 434, 183, 423)(172, 412, 188, 428, 221, 461)(174, 414, 212, 452, 222, 462)(175, 415, 189, 429, 207, 447)(180, 420, 191, 431, 200, 440)(190, 430, 210, 450, 196, 436)(192, 432, 205, 445, 199, 439)(195, 435, 223, 463, 209, 449)(204, 444, 208, 448, 228, 468)(213, 453, 231, 471, 220, 460)(216, 456, 233, 473, 230, 470)(218, 458, 234, 474, 224, 464)(219, 459, 225, 465, 235, 475)(226, 466, 236, 476, 229, 469)(227, 467, 232, 472, 237, 477)(238, 478, 239, 479, 240, 480)(481, 721, 483, 723, 489, 729, 485, 725)(482, 722, 486, 726, 496, 736, 487, 727)(484, 724, 491, 731, 507, 747, 492, 732)(488, 728, 500, 740, 526, 766, 501, 741)(490, 730, 504, 744, 534, 774, 505, 745)(493, 733, 511, 751, 547, 787, 512, 752)(494, 734, 513, 753, 550, 790, 514, 754)(495, 735, 515, 755, 553, 793, 516, 756)(497, 737, 519, 759, 560, 800, 520, 760)(498, 738, 521, 761, 563, 803, 522, 762)(499, 739, 523, 763, 566, 806, 524, 764)(502, 742, 529, 769, 576, 816, 530, 770)(503, 743, 531, 771, 580, 820, 532, 772)(506, 746, 538, 778, 589, 829, 536, 776)(508, 748, 541, 781, 596, 836, 542, 782)(509, 749, 543, 783, 598, 838, 544, 784)(510, 750, 545, 785, 568, 808, 525, 765)(517, 757, 555, 795, 615, 855, 556, 796)(518, 758, 557, 797, 619, 859, 558, 798)(527, 767, 571, 811, 639, 879, 572, 812)(528, 768, 573, 813, 640, 880, 574, 814)(533, 773, 584, 824, 652, 892, 582, 822)(535, 775, 587, 827, 658, 898, 588, 828)(537, 777, 590, 830, 641, 881, 575, 815)(539, 779, 591, 831, 660, 900, 592, 832)(540, 780, 593, 833, 663, 903, 594, 834)(546, 786, 583, 823, 653, 893, 601, 841)(548, 788, 604, 844, 671, 911, 605, 845)(549, 789, 577, 817, 644, 884, 606, 846)(551, 791, 609, 849, 675, 915, 610, 850)(552, 792, 579, 819, 647, 887, 611, 851)(554, 794, 613, 853, 678, 918, 614, 854)(559, 799, 623, 863, 684, 924, 621, 861)(561, 801, 625, 865, 674, 914, 608, 848)(562, 802, 622, 862, 685, 925, 626, 866)(564, 804, 629, 869, 642, 882, 630, 870)(565, 805, 616, 856, 668, 908, 602, 842)(567, 807, 618, 858, 681, 921, 633, 873)(569, 809, 635, 875, 667, 907, 599, 839)(570, 810, 636, 876, 693, 933, 637, 877)(578, 818, 645, 885, 698, 938, 646, 886)(581, 821, 650, 890, 700, 940, 651, 891)(585, 825, 654, 894, 628, 868, 655, 895)(586, 826, 656, 896, 664, 904, 595, 835)(597, 837, 657, 897, 649, 889, 632, 872)(600, 840, 661, 901, 688, 928, 627, 867)(603, 843, 669, 909, 665, 905, 670, 910)(607, 847, 672, 912, 704, 944, 673, 913)(612, 852, 676, 916, 705, 945, 677, 917)(617, 857, 679, 919, 706, 946, 680, 920)(620, 860, 648, 888, 699, 939, 683, 923)(624, 864, 686, 926, 666, 906, 687, 927)(631, 871, 689, 929, 709, 949, 690, 930)(634, 874, 691, 931, 710, 950, 692, 932)(638, 878, 682, 922, 707, 947, 694, 934)(643, 883, 662, 902, 703, 943, 696, 936)(659, 899, 702, 942, 712, 952, 695, 935)(697, 937, 711, 951, 718, 958, 713, 953)(701, 941, 715, 955, 719, 959, 714, 954)(708, 948, 717, 957, 720, 960, 716, 956)
	L = (1, 484)(2, 481)(3, 490)(4, 482)(5, 494)(6, 497)(7, 499)(8, 483)(9, 503)(10, 488)(11, 508)(12, 510)(13, 485)(14, 493)(15, 486)(16, 518)(17, 495)(18, 487)(19, 498)(20, 527)(21, 520)(22, 489)(23, 502)(24, 535)(25, 537)(26, 491)(27, 540)(28, 506)(29, 492)(30, 509)(31, 523)(32, 549)(33, 551)(34, 515)(35, 552)(36, 542)(37, 496)(38, 517)(39, 561)(40, 528)(41, 545)(42, 565)(43, 546)(44, 538)(45, 500)(46, 570)(47, 525)(48, 501)(49, 577)(50, 572)(51, 581)(52, 583)(53, 504)(54, 586)(55, 533)(56, 505)(57, 536)(58, 567)(59, 507)(60, 539)(61, 597)(62, 554)(63, 513)(64, 600)(65, 562)(66, 511)(67, 603)(68, 512)(69, 548)(70, 608)(71, 543)(72, 514)(73, 612)(74, 516)(75, 616)(76, 611)(77, 620)(78, 622)(79, 519)(80, 584)(81, 559)(82, 521)(83, 628)(84, 522)(85, 564)(86, 632)(87, 524)(88, 588)(89, 526)(90, 569)(91, 593)(92, 578)(93, 590)(94, 555)(95, 529)(96, 643)(97, 575)(98, 530)(99, 531)(100, 649)(101, 579)(102, 532)(103, 582)(104, 624)(105, 534)(106, 585)(107, 625)(108, 634)(109, 659)(110, 613)(111, 661)(112, 633)(113, 638)(114, 609)(115, 541)(116, 623)(117, 595)(118, 666)(119, 544)(120, 599)(121, 610)(122, 547)(123, 602)(124, 553)(125, 630)(126, 598)(127, 550)(128, 607)(129, 664)(130, 626)(131, 617)(132, 604)(133, 573)(134, 591)(135, 646)(136, 574)(137, 556)(138, 557)(139, 658)(140, 618)(141, 558)(142, 621)(143, 665)(144, 560)(145, 657)(146, 601)(147, 563)(148, 627)(149, 589)(150, 667)(151, 566)(152, 631)(153, 662)(154, 568)(155, 615)(156, 673)(157, 678)(158, 571)(159, 647)(160, 683)(161, 651)(162, 576)(163, 642)(164, 656)(165, 653)(166, 635)(167, 681)(168, 580)(169, 648)(170, 663)(171, 677)(172, 701)(173, 691)(174, 702)(175, 687)(176, 697)(177, 587)(178, 682)(179, 629)(180, 680)(181, 614)(182, 592)(183, 674)(184, 594)(185, 596)(186, 606)(187, 605)(188, 652)(189, 655)(190, 676)(191, 660)(192, 679)(193, 686)(194, 650)(195, 689)(196, 690)(197, 641)(198, 694)(199, 685)(200, 671)(201, 639)(202, 619)(203, 695)(204, 708)(205, 672)(206, 636)(207, 669)(208, 684)(209, 703)(210, 670)(211, 645)(212, 654)(213, 700)(214, 637)(215, 640)(216, 710)(217, 644)(218, 704)(219, 715)(220, 711)(221, 668)(222, 692)(223, 675)(224, 714)(225, 699)(226, 709)(227, 717)(228, 688)(229, 716)(230, 713)(231, 693)(232, 707)(233, 696)(234, 698)(235, 705)(236, 706)(237, 712)(238, 720)(239, 718)(240, 719)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.3090
Graph:: bipartite
	v = 140 e = 480 f = 300
	degree seq :: [ 6^80, 8^60 ]

E21.3090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, (Y3^-1, Y1)^2, (Y1 * Y3^-1 * Y1^-1 * Y3^-1)^3, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 10, 250)(5, 245, 13, 253, 30, 270, 14, 254)(7, 247, 17, 257, 39, 279, 18, 258)(8, 248, 19, 259, 44, 284, 20, 260)(11, 251, 26, 266, 58, 298, 27, 267)(12, 252, 28, 268, 62, 302, 29, 269)(15, 255, 35, 275, 73, 313, 36, 276)(16, 256, 37, 277, 78, 318, 38, 278)(22, 262, 51, 291, 101, 341, 52, 292)(23, 263, 53, 293, 89, 329, 43, 283)(24, 264, 54, 294, 105, 345, 55, 295)(25, 265, 56, 296, 109, 349, 57, 297)(31, 271, 68, 308, 95, 335, 47, 287)(32, 272, 69, 309, 127, 367, 70, 310)(33, 273, 63, 303, 119, 359, 71, 311)(34, 274, 72, 312, 85, 325, 40, 280)(41, 281, 86, 326, 138, 378, 77, 317)(42, 282, 87, 327, 151, 391, 88, 328)(45, 285, 92, 332, 144, 384, 81, 321)(46, 286, 93, 333, 158, 398, 94, 334)(48, 288, 96, 336, 134, 374, 74, 314)(49, 289, 97, 337, 163, 403, 98, 338)(50, 290, 99, 339, 165, 405, 100, 340)(59, 299, 82, 322, 145, 385, 113, 353)(60, 300, 114, 354, 183, 423, 115, 355)(61, 301, 75, 315, 135, 375, 116, 356)(64, 304, 120, 360, 189, 429, 121, 361)(65, 305, 79, 319, 141, 381, 122, 362)(66, 306, 123, 363, 191, 431, 124, 364)(67, 307, 125, 365, 194, 434, 126, 366)(76, 316, 136, 376, 199, 439, 137, 377)(80, 320, 142, 382, 203, 443, 143, 383)(83, 323, 146, 386, 184, 424, 130, 370)(84, 324, 147, 387, 205, 445, 148, 388)(90, 330, 155, 395, 174, 414, 156, 396)(91, 331, 157, 397, 190, 430, 128, 368)(102, 342, 152, 392, 208, 448, 171, 411)(103, 343, 172, 412, 217, 457, 168, 408)(104, 344, 160, 400, 188, 428, 118, 358)(106, 346, 169, 409, 218, 458, 175, 415)(107, 347, 161, 401, 132, 372, 176, 416)(108, 348, 153, 393, 180, 420, 111, 351)(110, 350, 166, 406, 201, 441, 179, 419)(112, 352, 181, 421, 195, 435, 182, 422)(117, 357, 186, 426, 223, 463, 187, 427)(129, 369, 159, 399, 140, 380, 178, 418)(131, 371, 192, 432, 220, 460, 173, 413)(133, 373, 193, 433, 224, 464, 196, 436)(139, 379, 202, 442, 212, 452, 167, 407)(149, 389, 200, 440, 226, 466, 209, 449)(150, 390, 210, 450, 231, 471, 207, 447)(154, 394, 206, 446, 185, 425, 213, 453)(162, 402, 214, 454, 232, 472, 211, 451)(164, 404, 215, 455, 233, 473, 216, 456)(170, 410, 219, 459, 227, 467, 197, 437)(177, 417, 221, 461, 235, 475, 222, 462)(198, 438, 228, 468, 236, 476, 225, 465)(204, 444, 230, 470, 237, 477, 229, 469)(234, 474, 238, 478, 240, 480, 239, 479)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 487)(3, 485)(4, 491)(5, 481)(6, 495)(7, 488)(8, 482)(9, 502)(10, 504)(11, 492)(12, 484)(13, 511)(14, 513)(15, 496)(16, 486)(17, 520)(18, 522)(19, 525)(20, 527)(21, 529)(22, 503)(23, 489)(24, 505)(25, 490)(26, 539)(27, 540)(28, 543)(29, 545)(30, 546)(31, 512)(32, 493)(33, 514)(34, 494)(35, 554)(36, 556)(37, 559)(38, 561)(39, 563)(40, 521)(41, 497)(42, 523)(43, 498)(44, 570)(45, 526)(46, 499)(47, 528)(48, 500)(49, 530)(50, 501)(51, 509)(52, 582)(53, 583)(54, 586)(55, 587)(56, 506)(57, 590)(58, 591)(59, 536)(60, 541)(61, 507)(62, 597)(63, 544)(64, 508)(65, 531)(66, 547)(67, 510)(68, 537)(69, 608)(70, 532)(71, 610)(72, 534)(73, 612)(74, 555)(75, 515)(76, 557)(77, 516)(78, 619)(79, 560)(80, 517)(81, 562)(82, 518)(83, 564)(84, 519)(85, 629)(86, 630)(87, 632)(88, 633)(89, 634)(90, 571)(91, 524)(92, 569)(93, 639)(94, 565)(95, 641)(96, 567)(97, 568)(98, 644)(99, 646)(100, 648)(101, 594)(102, 550)(103, 584)(104, 533)(105, 653)(106, 552)(107, 588)(108, 535)(109, 657)(110, 548)(111, 592)(112, 538)(113, 655)(114, 650)(115, 664)(116, 665)(117, 598)(118, 542)(119, 596)(120, 606)(121, 593)(122, 578)(123, 651)(124, 673)(125, 566)(126, 670)(127, 675)(128, 609)(129, 549)(130, 611)(131, 551)(132, 613)(133, 553)(134, 677)(135, 678)(136, 680)(137, 643)(138, 681)(139, 620)(140, 558)(141, 618)(142, 668)(143, 614)(144, 660)(145, 616)(146, 617)(147, 686)(148, 687)(149, 574)(150, 605)(151, 691)(152, 576)(153, 577)(154, 572)(155, 689)(156, 661)(157, 615)(158, 645)(159, 640)(160, 573)(161, 642)(162, 575)(163, 626)(164, 602)(165, 690)(166, 647)(167, 579)(168, 649)(169, 580)(170, 581)(171, 672)(172, 607)(173, 654)(174, 585)(175, 601)(176, 595)(177, 658)(178, 589)(179, 604)(180, 684)(181, 693)(182, 702)(183, 696)(184, 656)(185, 599)(186, 698)(187, 627)(188, 674)(189, 704)(190, 600)(191, 663)(192, 603)(193, 659)(194, 622)(195, 652)(196, 705)(197, 623)(198, 637)(199, 709)(200, 625)(201, 621)(202, 707)(203, 685)(204, 624)(205, 708)(206, 667)(207, 688)(208, 628)(209, 694)(210, 638)(211, 692)(212, 631)(213, 636)(214, 635)(215, 666)(216, 671)(217, 700)(218, 695)(219, 662)(220, 714)(221, 669)(222, 699)(223, 679)(224, 701)(225, 706)(226, 676)(227, 710)(228, 683)(229, 703)(230, 682)(231, 712)(232, 718)(233, 719)(234, 697)(235, 713)(236, 717)(237, 720)(238, 711)(239, 715)(240, 716)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.3089
Graph:: simple bipartite
	v = 300 e = 480 f = 140
	degree seq :: [ 2^240, 8^60 ]

E21.3091 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1 * T2 * T1^3)^2, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1^-1)^3, T2 * T1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * 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, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 81, 61, 32)(17, 33, 62, 80, 65, 34)(21, 40, 75, 128, 78, 41)(22, 42, 79, 131, 82, 43)(26, 50, 93, 77, 96, 51)(27, 52, 97, 76, 100, 53)(30, 56, 104, 133, 107, 57)(35, 66, 118, 132, 121, 67)(37, 70, 88, 46, 87, 71)(38, 72, 86, 45, 85, 73)(49, 91, 143, 130, 146, 92)(54, 101, 155, 129, 158, 102)(55, 103, 159, 180, 134, 90)(59, 109, 165, 120, 167, 110)(60, 98, 152, 119, 145, 111)(63, 114, 162, 106, 161, 115)(64, 116, 157, 105, 148, 94)(69, 122, 142, 89, 141, 123)(74, 126, 136, 84, 135, 127)(95, 139, 185, 156, 182, 149)(99, 153, 188, 144, 183, 137)(108, 164, 189, 175, 198, 154)(112, 169, 187, 174, 184, 138)(113, 150, 194, 163, 199, 170)(117, 140, 186, 160, 181, 173)(124, 147, 191, 179, 200, 177)(125, 178, 190, 176, 195, 151)(166, 201, 225, 206, 216, 204)(168, 205, 220, 202, 218, 192)(171, 203, 226, 210, 214, 208)(172, 209, 224, 207, 222, 196)(193, 219, 212, 217, 231, 213)(197, 223, 211, 221, 232, 215)(227, 236, 230, 238, 239, 233)(228, 234, 229, 235, 240, 237)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 105)(57, 106)(58, 108)(61, 112)(62, 113)(65, 117)(66, 119)(67, 120)(68, 103)(70, 124)(71, 115)(72, 125)(73, 109)(75, 129)(78, 130)(79, 132)(82, 133)(83, 134)(85, 137)(86, 138)(87, 139)(88, 140)(91, 144)(92, 145)(93, 147)(96, 150)(97, 151)(100, 154)(101, 156)(102, 157)(104, 160)(107, 163)(110, 166)(111, 168)(114, 171)(116, 172)(118, 174)(121, 175)(122, 167)(123, 176)(126, 162)(127, 179)(128, 159)(131, 180)(135, 181)(136, 182)(141, 187)(142, 188)(143, 189)(146, 190)(148, 192)(149, 193)(152, 196)(153, 197)(155, 199)(158, 200)(161, 201)(164, 202)(165, 203)(169, 206)(170, 207)(173, 210)(177, 211)(178, 212)(183, 213)(184, 214)(185, 215)(186, 216)(191, 217)(194, 220)(195, 221)(198, 224)(204, 227)(205, 228)(208, 229)(209, 230)(218, 233)(219, 234)(222, 235)(223, 236)(225, 237)(226, 238)(231, 239)(232, 240)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 120 f = 40
	degree seq :: [ 6^40 ]

E21.3092 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1 * T1 * T2^-1)^2, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3, T2^2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 116, 65, 34)(21, 40, 76, 129, 78, 41)(24, 46, 87, 144, 89, 47)(28, 53, 100, 157, 102, 54)(29, 55, 103, 77, 105, 56)(31, 59, 108, 75, 110, 60)(35, 66, 120, 175, 121, 67)(36, 68, 118, 64, 117, 69)(38, 72, 114, 62, 113, 73)(42, 79, 131, 101, 133, 80)(44, 83, 136, 99, 138, 84)(48, 90, 148, 196, 149, 91)(49, 92, 146, 88, 145, 93)(51, 96, 142, 86, 141, 97)(57, 106, 163, 130, 164, 107)(61, 111, 169, 128, 170, 112)(70, 123, 174, 119, 173, 124)(74, 126, 172, 115, 171, 127)(81, 134, 184, 158, 185, 135)(85, 139, 190, 156, 191, 140)(94, 151, 195, 147, 194, 152)(98, 154, 193, 143, 192, 155)(104, 160, 202, 168, 204, 161)(109, 166, 206, 162, 205, 167)(122, 159, 201, 179, 210, 176)(125, 178, 207, 177, 208, 165)(132, 181, 214, 189, 216, 182)(137, 187, 218, 183, 217, 188)(150, 180, 213, 200, 222, 197)(153, 199, 219, 198, 220, 186)(203, 227, 212, 225, 237, 228)(209, 230, 211, 229, 238, 226)(215, 233, 224, 231, 239, 234)(221, 236, 223, 235, 240, 232)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 257)(250, 261)(252, 264)(254, 268)(255, 269)(256, 271)(258, 275)(259, 276)(260, 278)(262, 282)(263, 284)(265, 288)(266, 289)(267, 291)(270, 297)(272, 301)(273, 302)(274, 304)(277, 310)(279, 314)(280, 315)(281, 317)(283, 321)(285, 325)(286, 326)(287, 328)(290, 334)(292, 338)(293, 339)(294, 341)(295, 337)(296, 344)(298, 331)(299, 323)(300, 349)(303, 355)(305, 359)(306, 335)(307, 322)(308, 362)(309, 333)(311, 330)(312, 365)(313, 319)(316, 368)(318, 370)(320, 372)(324, 377)(327, 383)(329, 387)(332, 390)(336, 393)(340, 396)(342, 398)(343, 399)(345, 391)(346, 402)(347, 378)(348, 405)(350, 375)(351, 408)(352, 382)(353, 407)(354, 380)(356, 389)(357, 400)(358, 394)(360, 397)(361, 384)(363, 373)(364, 417)(366, 386)(367, 419)(369, 388)(371, 420)(374, 423)(376, 426)(379, 429)(381, 428)(385, 421)(392, 438)(395, 440)(401, 443)(403, 424)(404, 447)(406, 449)(409, 434)(410, 450)(411, 432)(412, 444)(413, 430)(414, 446)(415, 436)(416, 451)(418, 452)(422, 455)(425, 459)(427, 461)(431, 462)(433, 456)(435, 458)(437, 463)(439, 464)(441, 465)(442, 466)(445, 468)(448, 469)(453, 471)(454, 472)(457, 474)(460, 475)(467, 476)(470, 473)(477, 479)(478, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3093
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 240 f = 40
	degree seq :: [ 2^120, 6^40 ]

E21.3093 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1 * T1 * T2^-1)^2, (T2^-1 * T1)^6, (T2 * T1 * T2^-1 * T1)^3, T2^2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 241, 3, 243, 8, 248, 18, 258, 10, 250, 4, 244)(2, 242, 5, 245, 12, 252, 25, 265, 14, 254, 6, 246)(7, 247, 15, 255, 30, 270, 58, 298, 32, 272, 16, 256)(9, 249, 19, 259, 37, 277, 71, 311, 39, 279, 20, 260)(11, 251, 22, 262, 43, 283, 82, 322, 45, 285, 23, 263)(13, 253, 26, 266, 50, 290, 95, 335, 52, 292, 27, 267)(17, 257, 33, 273, 63, 303, 116, 356, 65, 305, 34, 274)(21, 261, 40, 280, 76, 316, 129, 369, 78, 318, 41, 281)(24, 264, 46, 286, 87, 327, 144, 384, 89, 329, 47, 287)(28, 268, 53, 293, 100, 340, 157, 397, 102, 342, 54, 294)(29, 269, 55, 295, 103, 343, 77, 317, 105, 345, 56, 296)(31, 271, 59, 299, 108, 348, 75, 315, 110, 350, 60, 300)(35, 275, 66, 306, 120, 360, 175, 415, 121, 361, 67, 307)(36, 276, 68, 308, 118, 358, 64, 304, 117, 357, 69, 309)(38, 278, 72, 312, 114, 354, 62, 302, 113, 353, 73, 313)(42, 282, 79, 319, 131, 371, 101, 341, 133, 373, 80, 320)(44, 284, 83, 323, 136, 376, 99, 339, 138, 378, 84, 324)(48, 288, 90, 330, 148, 388, 196, 436, 149, 389, 91, 331)(49, 289, 92, 332, 146, 386, 88, 328, 145, 385, 93, 333)(51, 291, 96, 336, 142, 382, 86, 326, 141, 381, 97, 337)(57, 297, 106, 346, 163, 403, 130, 370, 164, 404, 107, 347)(61, 301, 111, 351, 169, 409, 128, 368, 170, 410, 112, 352)(70, 310, 123, 363, 174, 414, 119, 359, 173, 413, 124, 364)(74, 314, 126, 366, 172, 412, 115, 355, 171, 411, 127, 367)(81, 321, 134, 374, 184, 424, 158, 398, 185, 425, 135, 375)(85, 325, 139, 379, 190, 430, 156, 396, 191, 431, 140, 380)(94, 334, 151, 391, 195, 435, 147, 387, 194, 434, 152, 392)(98, 338, 154, 394, 193, 433, 143, 383, 192, 432, 155, 395)(104, 344, 160, 400, 202, 442, 168, 408, 204, 444, 161, 401)(109, 349, 166, 406, 206, 446, 162, 402, 205, 445, 167, 407)(122, 362, 159, 399, 201, 441, 179, 419, 210, 450, 176, 416)(125, 365, 178, 418, 207, 447, 177, 417, 208, 448, 165, 405)(132, 372, 181, 421, 214, 454, 189, 429, 216, 456, 182, 422)(137, 377, 187, 427, 218, 458, 183, 423, 217, 457, 188, 428)(150, 390, 180, 420, 213, 453, 200, 440, 222, 462, 197, 437)(153, 393, 199, 439, 219, 459, 198, 438, 220, 460, 186, 426)(203, 443, 227, 467, 212, 452, 225, 465, 237, 477, 228, 468)(209, 449, 230, 470, 211, 451, 229, 469, 238, 478, 226, 466)(215, 455, 233, 473, 224, 464, 231, 471, 239, 479, 234, 474)(221, 461, 236, 476, 223, 463, 235, 475, 240, 480, 232, 472)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 264)(13, 246)(14, 268)(15, 269)(16, 271)(17, 248)(18, 275)(19, 276)(20, 278)(21, 250)(22, 282)(23, 284)(24, 252)(25, 288)(26, 289)(27, 291)(28, 254)(29, 255)(30, 297)(31, 256)(32, 301)(33, 302)(34, 304)(35, 258)(36, 259)(37, 310)(38, 260)(39, 314)(40, 315)(41, 317)(42, 262)(43, 321)(44, 263)(45, 325)(46, 326)(47, 328)(48, 265)(49, 266)(50, 334)(51, 267)(52, 338)(53, 339)(54, 341)(55, 337)(56, 344)(57, 270)(58, 331)(59, 323)(60, 349)(61, 272)(62, 273)(63, 355)(64, 274)(65, 359)(66, 335)(67, 322)(68, 362)(69, 333)(70, 277)(71, 330)(72, 365)(73, 319)(74, 279)(75, 280)(76, 368)(77, 281)(78, 370)(79, 313)(80, 372)(81, 283)(82, 307)(83, 299)(84, 377)(85, 285)(86, 286)(87, 383)(88, 287)(89, 387)(90, 311)(91, 298)(92, 390)(93, 309)(94, 290)(95, 306)(96, 393)(97, 295)(98, 292)(99, 293)(100, 396)(101, 294)(102, 398)(103, 399)(104, 296)(105, 391)(106, 402)(107, 378)(108, 405)(109, 300)(110, 375)(111, 408)(112, 382)(113, 407)(114, 380)(115, 303)(116, 389)(117, 400)(118, 394)(119, 305)(120, 397)(121, 384)(122, 308)(123, 373)(124, 417)(125, 312)(126, 386)(127, 419)(128, 316)(129, 388)(130, 318)(131, 420)(132, 320)(133, 363)(134, 423)(135, 350)(136, 426)(137, 324)(138, 347)(139, 429)(140, 354)(141, 428)(142, 352)(143, 327)(144, 361)(145, 421)(146, 366)(147, 329)(148, 369)(149, 356)(150, 332)(151, 345)(152, 438)(153, 336)(154, 358)(155, 440)(156, 340)(157, 360)(158, 342)(159, 343)(160, 357)(161, 443)(162, 346)(163, 424)(164, 447)(165, 348)(166, 449)(167, 353)(168, 351)(169, 434)(170, 450)(171, 432)(172, 444)(173, 430)(174, 446)(175, 436)(176, 451)(177, 364)(178, 452)(179, 367)(180, 371)(181, 385)(182, 455)(183, 374)(184, 403)(185, 459)(186, 376)(187, 461)(188, 381)(189, 379)(190, 413)(191, 462)(192, 411)(193, 456)(194, 409)(195, 458)(196, 415)(197, 463)(198, 392)(199, 464)(200, 395)(201, 465)(202, 466)(203, 401)(204, 412)(205, 468)(206, 414)(207, 404)(208, 469)(209, 406)(210, 410)(211, 416)(212, 418)(213, 471)(214, 472)(215, 422)(216, 433)(217, 474)(218, 435)(219, 425)(220, 475)(221, 427)(222, 431)(223, 437)(224, 439)(225, 441)(226, 442)(227, 476)(228, 445)(229, 448)(230, 473)(231, 453)(232, 454)(233, 470)(234, 457)(235, 460)(236, 467)(237, 479)(238, 480)(239, 477)(240, 478)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3092
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 40 e = 240 f = 160
	degree seq :: [ 12^40 ]

E21.3094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-3 * Y1)^2, (Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1)^6, (Y3 * Y2^-1)^6, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 21, 261)(12, 252, 24, 264)(14, 254, 28, 268)(15, 255, 29, 269)(16, 256, 31, 271)(18, 258, 35, 275)(19, 259, 36, 276)(20, 260, 38, 278)(22, 262, 42, 282)(23, 263, 44, 284)(25, 265, 48, 288)(26, 266, 49, 289)(27, 267, 51, 291)(30, 270, 57, 297)(32, 272, 61, 301)(33, 273, 62, 302)(34, 274, 64, 304)(37, 277, 70, 310)(39, 279, 74, 314)(40, 280, 75, 315)(41, 281, 77, 317)(43, 283, 81, 321)(45, 285, 85, 325)(46, 286, 86, 326)(47, 287, 88, 328)(50, 290, 94, 334)(52, 292, 98, 338)(53, 293, 99, 339)(54, 294, 101, 341)(55, 295, 97, 337)(56, 296, 104, 344)(58, 298, 91, 331)(59, 299, 83, 323)(60, 300, 109, 349)(63, 303, 115, 355)(65, 305, 119, 359)(66, 306, 95, 335)(67, 307, 82, 322)(68, 308, 122, 362)(69, 309, 93, 333)(71, 311, 90, 330)(72, 312, 125, 365)(73, 313, 79, 319)(76, 316, 128, 368)(78, 318, 130, 370)(80, 320, 132, 372)(84, 324, 137, 377)(87, 327, 143, 383)(89, 329, 147, 387)(92, 332, 150, 390)(96, 336, 153, 393)(100, 340, 156, 396)(102, 342, 158, 398)(103, 343, 159, 399)(105, 345, 151, 391)(106, 346, 162, 402)(107, 347, 138, 378)(108, 348, 165, 405)(110, 350, 135, 375)(111, 351, 168, 408)(112, 352, 142, 382)(113, 353, 167, 407)(114, 354, 140, 380)(116, 356, 149, 389)(117, 357, 160, 400)(118, 358, 154, 394)(120, 360, 157, 397)(121, 361, 144, 384)(123, 363, 133, 373)(124, 364, 177, 417)(126, 366, 146, 386)(127, 367, 179, 419)(129, 369, 148, 388)(131, 371, 180, 420)(134, 374, 183, 423)(136, 376, 186, 426)(139, 379, 189, 429)(141, 381, 188, 428)(145, 385, 181, 421)(152, 392, 198, 438)(155, 395, 200, 440)(161, 401, 203, 443)(163, 403, 184, 424)(164, 404, 207, 447)(166, 406, 209, 449)(169, 409, 194, 434)(170, 410, 210, 450)(171, 411, 192, 432)(172, 412, 204, 444)(173, 413, 190, 430)(174, 414, 206, 446)(175, 415, 196, 436)(176, 416, 211, 451)(178, 418, 212, 452)(182, 422, 215, 455)(185, 425, 219, 459)(187, 427, 221, 461)(191, 431, 222, 462)(193, 433, 216, 456)(195, 435, 218, 458)(197, 437, 223, 463)(199, 439, 224, 464)(201, 441, 225, 465)(202, 442, 226, 466)(205, 445, 228, 468)(208, 448, 229, 469)(213, 453, 231, 471)(214, 454, 232, 472)(217, 457, 234, 474)(220, 460, 235, 475)(227, 467, 236, 476)(230, 470, 233, 473)(237, 477, 239, 479)(238, 478, 240, 480)(481, 721, 483, 723, 488, 728, 498, 738, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 505, 745, 494, 734, 486, 726)(487, 727, 495, 735, 510, 750, 538, 778, 512, 752, 496, 736)(489, 729, 499, 739, 517, 757, 551, 791, 519, 759, 500, 740)(491, 731, 502, 742, 523, 763, 562, 802, 525, 765, 503, 743)(493, 733, 506, 746, 530, 770, 575, 815, 532, 772, 507, 747)(497, 737, 513, 753, 543, 783, 596, 836, 545, 785, 514, 754)(501, 741, 520, 760, 556, 796, 609, 849, 558, 798, 521, 761)(504, 744, 526, 766, 567, 807, 624, 864, 569, 809, 527, 767)(508, 748, 533, 773, 580, 820, 637, 877, 582, 822, 534, 774)(509, 749, 535, 775, 583, 823, 557, 797, 585, 825, 536, 776)(511, 751, 539, 779, 588, 828, 555, 795, 590, 830, 540, 780)(515, 755, 546, 786, 600, 840, 655, 895, 601, 841, 547, 787)(516, 756, 548, 788, 598, 838, 544, 784, 597, 837, 549, 789)(518, 758, 552, 792, 594, 834, 542, 782, 593, 833, 553, 793)(522, 762, 559, 799, 611, 851, 581, 821, 613, 853, 560, 800)(524, 764, 563, 803, 616, 856, 579, 819, 618, 858, 564, 804)(528, 768, 570, 810, 628, 868, 676, 916, 629, 869, 571, 811)(529, 769, 572, 812, 626, 866, 568, 808, 625, 865, 573, 813)(531, 771, 576, 816, 622, 862, 566, 806, 621, 861, 577, 817)(537, 777, 586, 826, 643, 883, 610, 850, 644, 884, 587, 827)(541, 781, 591, 831, 649, 889, 608, 848, 650, 890, 592, 832)(550, 790, 603, 843, 654, 894, 599, 839, 653, 893, 604, 844)(554, 794, 606, 846, 652, 892, 595, 835, 651, 891, 607, 847)(561, 801, 614, 854, 664, 904, 638, 878, 665, 905, 615, 855)(565, 805, 619, 859, 670, 910, 636, 876, 671, 911, 620, 860)(574, 814, 631, 871, 675, 915, 627, 867, 674, 914, 632, 872)(578, 818, 634, 874, 673, 913, 623, 863, 672, 912, 635, 875)(584, 824, 640, 880, 682, 922, 648, 888, 684, 924, 641, 881)(589, 829, 646, 886, 686, 926, 642, 882, 685, 925, 647, 887)(602, 842, 639, 879, 681, 921, 659, 899, 690, 930, 656, 896)(605, 845, 658, 898, 687, 927, 657, 897, 688, 928, 645, 885)(612, 852, 661, 901, 694, 934, 669, 909, 696, 936, 662, 902)(617, 857, 667, 907, 698, 938, 663, 903, 697, 937, 668, 908)(630, 870, 660, 900, 693, 933, 680, 920, 702, 942, 677, 917)(633, 873, 679, 919, 699, 939, 678, 918, 700, 940, 666, 906)(683, 923, 707, 947, 692, 932, 705, 945, 717, 957, 708, 948)(689, 929, 710, 950, 691, 931, 709, 949, 718, 958, 706, 946)(695, 935, 713, 953, 704, 944, 711, 951, 719, 959, 714, 954)(701, 941, 716, 956, 703, 943, 715, 955, 720, 960, 712, 952)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 504)(13, 486)(14, 508)(15, 509)(16, 511)(17, 488)(18, 515)(19, 516)(20, 518)(21, 490)(22, 522)(23, 524)(24, 492)(25, 528)(26, 529)(27, 531)(28, 494)(29, 495)(30, 537)(31, 496)(32, 541)(33, 542)(34, 544)(35, 498)(36, 499)(37, 550)(38, 500)(39, 554)(40, 555)(41, 557)(42, 502)(43, 561)(44, 503)(45, 565)(46, 566)(47, 568)(48, 505)(49, 506)(50, 574)(51, 507)(52, 578)(53, 579)(54, 581)(55, 577)(56, 584)(57, 510)(58, 571)(59, 563)(60, 589)(61, 512)(62, 513)(63, 595)(64, 514)(65, 599)(66, 575)(67, 562)(68, 602)(69, 573)(70, 517)(71, 570)(72, 605)(73, 559)(74, 519)(75, 520)(76, 608)(77, 521)(78, 610)(79, 553)(80, 612)(81, 523)(82, 547)(83, 539)(84, 617)(85, 525)(86, 526)(87, 623)(88, 527)(89, 627)(90, 551)(91, 538)(92, 630)(93, 549)(94, 530)(95, 546)(96, 633)(97, 535)(98, 532)(99, 533)(100, 636)(101, 534)(102, 638)(103, 639)(104, 536)(105, 631)(106, 642)(107, 618)(108, 645)(109, 540)(110, 615)(111, 648)(112, 622)(113, 647)(114, 620)(115, 543)(116, 629)(117, 640)(118, 634)(119, 545)(120, 637)(121, 624)(122, 548)(123, 613)(124, 657)(125, 552)(126, 626)(127, 659)(128, 556)(129, 628)(130, 558)(131, 660)(132, 560)(133, 603)(134, 663)(135, 590)(136, 666)(137, 564)(138, 587)(139, 669)(140, 594)(141, 668)(142, 592)(143, 567)(144, 601)(145, 661)(146, 606)(147, 569)(148, 609)(149, 596)(150, 572)(151, 585)(152, 678)(153, 576)(154, 598)(155, 680)(156, 580)(157, 600)(158, 582)(159, 583)(160, 597)(161, 683)(162, 586)(163, 664)(164, 687)(165, 588)(166, 689)(167, 593)(168, 591)(169, 674)(170, 690)(171, 672)(172, 684)(173, 670)(174, 686)(175, 676)(176, 691)(177, 604)(178, 692)(179, 607)(180, 611)(181, 625)(182, 695)(183, 614)(184, 643)(185, 699)(186, 616)(187, 701)(188, 621)(189, 619)(190, 653)(191, 702)(192, 651)(193, 696)(194, 649)(195, 698)(196, 655)(197, 703)(198, 632)(199, 704)(200, 635)(201, 705)(202, 706)(203, 641)(204, 652)(205, 708)(206, 654)(207, 644)(208, 709)(209, 646)(210, 650)(211, 656)(212, 658)(213, 711)(214, 712)(215, 662)(216, 673)(217, 714)(218, 675)(219, 665)(220, 715)(221, 667)(222, 671)(223, 677)(224, 679)(225, 681)(226, 682)(227, 716)(228, 685)(229, 688)(230, 713)(231, 693)(232, 694)(233, 710)(234, 697)(235, 700)(236, 707)(237, 719)(238, 720)(239, 717)(240, 718)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3095
Graph:: bipartite
	v = 160 e = 480 f = 280
	degree seq :: [ 4^120, 12^40 ]

E21.3095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x S5 (small group id <240, 189>)
Aut   = $<480, 1186>$ (small group id <480, 1186>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, Y1^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^3 * Y3^2 * Y1^3 * Y3^-1, Y1^-2 * Y3^2 * Y1^-3 * Y3^-2 * Y1^-1, Y1^-2 * Y3^-1 * Y1 * Y3 * Y1^3 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-3 * Y3 * Y1 * Y3^-1 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^6, Y3^2 * Y1^2 * Y3 * Y1 * Y3 * Y1^3 * Y3 * Y1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 29, 269, 18, 258, 8, 248)(6, 246, 13, 253, 25, 265, 48, 288, 28, 268, 14, 254)(9, 249, 19, 259, 36, 276, 68, 308, 39, 279, 20, 260)(12, 252, 23, 263, 44, 284, 83, 323, 47, 287, 24, 264)(16, 256, 31, 271, 58, 298, 81, 321, 61, 301, 32, 272)(17, 257, 33, 273, 62, 302, 80, 320, 65, 305, 34, 274)(21, 261, 40, 280, 75, 315, 128, 368, 78, 318, 41, 281)(22, 262, 42, 282, 79, 319, 131, 371, 82, 322, 43, 283)(26, 266, 50, 290, 93, 333, 77, 317, 96, 336, 51, 291)(27, 267, 52, 292, 97, 337, 76, 316, 100, 340, 53, 293)(30, 270, 56, 296, 104, 344, 133, 373, 107, 347, 57, 297)(35, 275, 66, 306, 118, 358, 132, 372, 121, 361, 67, 307)(37, 277, 70, 310, 88, 328, 46, 286, 87, 327, 71, 311)(38, 278, 72, 312, 86, 326, 45, 285, 85, 325, 73, 313)(49, 289, 91, 331, 143, 383, 130, 370, 146, 386, 92, 332)(54, 294, 101, 341, 155, 395, 129, 369, 158, 398, 102, 342)(55, 295, 103, 343, 159, 399, 180, 420, 134, 374, 90, 330)(59, 299, 109, 349, 165, 405, 120, 360, 167, 407, 110, 350)(60, 300, 98, 338, 152, 392, 119, 359, 145, 385, 111, 351)(63, 303, 114, 354, 162, 402, 106, 346, 161, 401, 115, 355)(64, 304, 116, 356, 157, 397, 105, 345, 148, 388, 94, 334)(69, 309, 122, 362, 142, 382, 89, 329, 141, 381, 123, 363)(74, 314, 126, 366, 136, 376, 84, 324, 135, 375, 127, 367)(95, 335, 139, 379, 185, 425, 156, 396, 182, 422, 149, 389)(99, 339, 153, 393, 188, 428, 144, 384, 183, 423, 137, 377)(108, 348, 164, 404, 189, 429, 175, 415, 198, 438, 154, 394)(112, 352, 169, 409, 187, 427, 174, 414, 184, 424, 138, 378)(113, 353, 150, 390, 194, 434, 163, 403, 199, 439, 170, 410)(117, 357, 140, 380, 186, 426, 160, 400, 181, 421, 173, 413)(124, 364, 147, 387, 191, 431, 179, 419, 200, 440, 177, 417)(125, 365, 178, 418, 190, 430, 176, 416, 195, 435, 151, 391)(166, 406, 201, 441, 225, 465, 206, 446, 216, 456, 204, 444)(168, 408, 205, 445, 220, 460, 202, 442, 218, 458, 192, 432)(171, 411, 203, 443, 226, 466, 210, 450, 214, 454, 208, 448)(172, 412, 209, 449, 224, 464, 207, 447, 222, 462, 196, 436)(193, 433, 219, 459, 212, 452, 217, 457, 231, 471, 213, 453)(197, 437, 223, 463, 211, 451, 221, 461, 232, 472, 215, 455)(227, 467, 236, 476, 230, 470, 238, 478, 239, 479, 233, 473)(228, 468, 234, 474, 229, 469, 235, 475, 240, 480, 237, 477)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 486)(3, 481)(4, 489)(5, 492)(6, 482)(7, 496)(8, 497)(9, 484)(10, 501)(11, 502)(12, 485)(13, 506)(14, 507)(15, 510)(16, 487)(17, 488)(18, 515)(19, 517)(20, 518)(21, 490)(22, 491)(23, 525)(24, 526)(25, 529)(26, 493)(27, 494)(28, 534)(29, 535)(30, 495)(31, 539)(32, 540)(33, 543)(34, 544)(35, 498)(36, 549)(37, 499)(38, 500)(39, 554)(40, 556)(41, 557)(42, 560)(43, 561)(44, 564)(45, 503)(46, 504)(47, 569)(48, 570)(49, 505)(50, 574)(51, 575)(52, 578)(53, 579)(54, 508)(55, 509)(56, 585)(57, 586)(58, 588)(59, 511)(60, 512)(61, 592)(62, 593)(63, 513)(64, 514)(65, 597)(66, 599)(67, 600)(68, 583)(69, 516)(70, 604)(71, 595)(72, 605)(73, 589)(74, 519)(75, 609)(76, 520)(77, 521)(78, 610)(79, 612)(80, 522)(81, 523)(82, 613)(83, 614)(84, 524)(85, 617)(86, 618)(87, 619)(88, 620)(89, 527)(90, 528)(91, 624)(92, 625)(93, 627)(94, 530)(95, 531)(96, 630)(97, 631)(98, 532)(99, 533)(100, 634)(101, 636)(102, 637)(103, 548)(104, 640)(105, 536)(106, 537)(107, 643)(108, 538)(109, 553)(110, 646)(111, 648)(112, 541)(113, 542)(114, 651)(115, 551)(116, 652)(117, 545)(118, 654)(119, 546)(120, 547)(121, 655)(122, 647)(123, 656)(124, 550)(125, 552)(126, 642)(127, 659)(128, 639)(129, 555)(130, 558)(131, 660)(132, 559)(133, 562)(134, 563)(135, 661)(136, 662)(137, 565)(138, 566)(139, 567)(140, 568)(141, 667)(142, 668)(143, 669)(144, 571)(145, 572)(146, 670)(147, 573)(148, 672)(149, 673)(150, 576)(151, 577)(152, 676)(153, 677)(154, 580)(155, 679)(156, 581)(157, 582)(158, 680)(159, 608)(160, 584)(161, 681)(162, 606)(163, 587)(164, 682)(165, 683)(166, 590)(167, 602)(168, 591)(169, 686)(170, 687)(171, 594)(172, 596)(173, 690)(174, 598)(175, 601)(176, 603)(177, 691)(178, 692)(179, 607)(180, 611)(181, 615)(182, 616)(183, 693)(184, 694)(185, 695)(186, 696)(187, 621)(188, 622)(189, 623)(190, 626)(191, 697)(192, 628)(193, 629)(194, 700)(195, 701)(196, 632)(197, 633)(198, 704)(199, 635)(200, 638)(201, 641)(202, 644)(203, 645)(204, 707)(205, 708)(206, 649)(207, 650)(208, 709)(209, 710)(210, 653)(211, 657)(212, 658)(213, 663)(214, 664)(215, 665)(216, 666)(217, 671)(218, 713)(219, 714)(220, 674)(221, 675)(222, 715)(223, 716)(224, 678)(225, 717)(226, 718)(227, 684)(228, 685)(229, 688)(230, 689)(231, 719)(232, 720)(233, 698)(234, 699)(235, 702)(236, 703)(237, 705)(238, 706)(239, 711)(240, 712)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3094
Graph:: simple bipartite
	v = 280 e = 480 f = 160
	degree seq :: [ 2^240, 12^40 ]

E21.3096 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T2 * T1^2)^3, (T1^-2 * T2 * T1^2 * T2)^2, (T1 * T2 * T1^-2 * T2 * T1)^2, T1^12, T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 79, 78, 44, 22, 10, 4)(3, 7, 15, 31, 57, 97, 129, 114, 67, 37, 18, 8)(6, 13, 27, 52, 89, 139, 128, 150, 96, 56, 30, 14)(9, 19, 38, 68, 115, 131, 80, 130, 120, 72, 40, 20)(12, 25, 36, 65, 109, 127, 77, 126, 98, 88, 51, 26)(16, 33, 60, 102, 156, 209, 171, 186, 162, 105, 62, 34)(17, 35, 63, 106, 163, 206, 151, 199, 143, 91, 53, 28)(21, 41, 73, 121, 113, 82, 46, 81, 87, 59, 32, 42)(24, 47, 55, 94, 69, 76, 43, 75, 124, 135, 85, 48)(29, 54, 92, 144, 200, 184, 195, 217, 166, 108, 64, 49)(39, 70, 61, 103, 158, 189, 185, 133, 187, 176, 118, 71)(50, 86, 136, 191, 183, 125, 182, 180, 203, 146, 93, 83)(58, 99, 104, 160, 107, 112, 66, 111, 169, 207, 154, 100)(74, 122, 117, 174, 193, 137, 132, 84, 134, 188, 181, 123)(90, 140, 142, 198, 145, 149, 95, 148, 164, 215, 197, 141)(101, 155, 208, 230, 220, 170, 179, 218, 223, 212, 159, 152)(110, 167, 165, 216, 192, 194, 138, 153, 201, 227, 219, 168)(116, 172, 175, 210, 157, 178, 119, 177, 211, 214, 161, 173)(147, 204, 202, 228, 224, 222, 190, 196, 225, 236, 221, 205)(213, 233, 232, 238, 237, 226, 229, 231, 239, 240, 235, 234)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 49)(26, 50)(27, 40)(30, 55)(31, 58)(34, 61)(35, 64)(37, 66)(38, 69)(41, 74)(42, 70)(44, 77)(45, 80)(47, 83)(48, 84)(51, 87)(52, 90)(53, 60)(54, 93)(56, 95)(57, 98)(59, 101)(62, 104)(63, 107)(65, 110)(67, 113)(68, 116)(71, 117)(72, 119)(73, 109)(75, 125)(76, 122)(78, 128)(79, 129)(81, 132)(82, 133)(85, 120)(86, 137)(88, 138)(89, 124)(91, 142)(92, 145)(94, 147)(96, 115)(97, 151)(99, 152)(100, 153)(102, 157)(103, 159)(105, 161)(106, 164)(108, 165)(111, 170)(112, 167)(114, 171)(118, 175)(121, 179)(123, 180)(126, 184)(127, 182)(130, 185)(131, 186)(134, 189)(135, 190)(136, 192)(139, 195)(140, 178)(141, 196)(143, 154)(144, 201)(146, 202)(148, 173)(149, 204)(150, 206)(155, 194)(156, 169)(158, 211)(160, 213)(162, 163)(166, 197)(168, 218)(172, 205)(174, 221)(176, 220)(177, 222)(181, 223)(183, 217)(187, 209)(188, 224)(191, 225)(193, 208)(198, 226)(199, 200)(203, 219)(207, 229)(210, 231)(212, 232)(214, 233)(215, 234)(216, 235)(227, 237)(228, 238)(230, 239)(236, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.3098
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.3097 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T1^-1 * T2 * T1^4 * T2 * T1^-2 * T2 * T1^-1, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 85, 84, 44, 22, 10, 4)(3, 7, 15, 31, 59, 103, 135, 120, 71, 37, 18, 8)(6, 13, 27, 53, 94, 146, 134, 125, 76, 58, 30, 14)(9, 19, 38, 72, 54, 96, 86, 136, 127, 77, 40, 20)(12, 25, 49, 91, 141, 133, 83, 69, 36, 68, 52, 26)(16, 33, 63, 108, 163, 180, 176, 149, 97, 112, 65, 34)(17, 35, 66, 113, 109, 165, 157, 143, 151, 98, 55, 28)(21, 41, 78, 62, 32, 61, 46, 87, 137, 130, 80, 42)(24, 47, 88, 139, 132, 82, 43, 81, 57, 101, 73, 48)(29, 56, 99, 116, 67, 115, 170, 191, 195, 144, 92, 50)(39, 74, 122, 179, 215, 205, 161, 106, 64, 110, 124, 75)(51, 93, 145, 153, 100, 131, 188, 221, 224, 192, 140, 89)(60, 104, 158, 203, 175, 119, 70, 118, 111, 167, 114, 105)(79, 128, 185, 218, 222, 189, 138, 90, 123, 181, 186, 129)(95, 147, 169, 211, 202, 156, 102, 155, 150, 198, 152, 148)(107, 162, 206, 208, 166, 174, 187, 220, 219, 230, 204, 159)(117, 172, 194, 225, 196, 193, 142, 160, 171, 212, 213, 173)(121, 177, 214, 210, 168, 184, 126, 183, 182, 207, 164, 178)(154, 200, 223, 236, 216, 217, 190, 197, 199, 227, 228, 201)(209, 233, 239, 240, 235, 226, 229, 231, 232, 238, 237, 234)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 89)(48, 90)(49, 59)(52, 78)(53, 95)(55, 97)(56, 100)(58, 102)(61, 106)(62, 107)(63, 109)(65, 111)(66, 114)(68, 117)(69, 115)(71, 80)(72, 121)(75, 123)(77, 126)(81, 131)(82, 128)(84, 134)(85, 135)(87, 138)(88, 94)(91, 142)(92, 143)(93, 129)(96, 149)(98, 150)(99, 152)(101, 154)(103, 157)(104, 159)(105, 160)(108, 164)(110, 166)(112, 168)(113, 169)(116, 171)(118, 174)(119, 172)(120, 176)(122, 180)(124, 182)(125, 165)(127, 132)(130, 187)(133, 188)(136, 161)(137, 141)(139, 190)(140, 191)(144, 194)(145, 196)(146, 170)(147, 178)(148, 197)(151, 175)(153, 199)(155, 184)(156, 200)(158, 163)(162, 173)(167, 209)(177, 201)(179, 204)(181, 216)(183, 217)(185, 205)(186, 219)(189, 221)(192, 223)(193, 220)(195, 202)(198, 226)(203, 229)(206, 222)(207, 231)(208, 232)(210, 233)(211, 234)(212, 235)(213, 224)(214, 215)(218, 228)(225, 237)(227, 238)(230, 239)(236, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.3099
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.3098 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^2, (T2 * T1 * T2 * T1^-1)^5, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 23, 19)(14, 24, 37, 25)(15, 26, 40, 27)(21, 33, 51, 34)(22, 35, 54, 36)(29, 43, 65, 44)(30, 45, 68, 46)(31, 47, 71, 48)(32, 49, 74, 50)(38, 57, 85, 58)(39, 59, 88, 60)(41, 61, 91, 62)(42, 63, 94, 64)(52, 77, 113, 78)(53, 79, 116, 80)(55, 81, 119, 82)(56, 83, 122, 84)(66, 97, 139, 98)(67, 99, 141, 100)(69, 101, 144, 102)(70, 103, 146, 104)(72, 105, 149, 106)(73, 107, 152, 108)(75, 109, 155, 110)(76, 111, 158, 112)(86, 125, 173, 126)(87, 127, 166, 118)(89, 128, 177, 129)(90, 130, 180, 131)(92, 132, 170, 123)(93, 133, 183, 134)(95, 135, 186, 136)(96, 137, 188, 138)(114, 161, 209, 162)(115, 163, 204, 154)(117, 164, 176, 165)(120, 167, 207, 159)(121, 168, 214, 169)(124, 171, 182, 172)(140, 191, 181, 192)(142, 193, 226, 194)(143, 151, 202, 195)(145, 196, 187, 197)(147, 156, 205, 198)(148, 199, 227, 200)(150, 201, 222, 189)(153, 178, 211, 203)(157, 206, 221, 185)(160, 175, 213, 208)(174, 217, 232, 218)(179, 215, 230, 219)(184, 212, 231, 220)(190, 223, 229, 224)(210, 233, 228, 234)(216, 235, 225, 236)(237, 239, 238, 240)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 31)(19, 32)(20, 28)(24, 38)(25, 39)(26, 41)(27, 42)(33, 52)(34, 53)(35, 55)(36, 56)(37, 40)(43, 66)(44, 67)(45, 69)(46, 70)(47, 72)(48, 73)(49, 75)(50, 76)(51, 54)(57, 86)(58, 87)(59, 89)(60, 90)(61, 92)(62, 93)(63, 95)(64, 96)(65, 68)(71, 74)(77, 114)(78, 115)(79, 117)(80, 118)(81, 120)(82, 121)(83, 123)(84, 124)(85, 88)(91, 94)(97, 140)(98, 130)(99, 142)(100, 143)(101, 135)(102, 145)(103, 147)(104, 148)(105, 150)(106, 151)(107, 153)(108, 154)(109, 156)(110, 157)(111, 159)(112, 160)(113, 116)(119, 122)(125, 174)(126, 175)(127, 176)(128, 178)(129, 179)(131, 181)(132, 182)(133, 184)(134, 185)(136, 187)(137, 189)(138, 190)(139, 141)(144, 146)(149, 152)(155, 158)(161, 210)(162, 199)(163, 211)(164, 193)(165, 212)(166, 173)(167, 213)(168, 215)(169, 197)(170, 183)(171, 192)(172, 216)(177, 180)(186, 188)(191, 225)(194, 220)(195, 222)(196, 219)(198, 221)(200, 228)(201, 229)(202, 226)(203, 230)(204, 209)(205, 227)(206, 231)(207, 214)(208, 232)(217, 237)(218, 223)(224, 238)(233, 239)(234, 235)(236, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3096
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.3099 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 114, 70)(43, 71, 117, 72)(45, 74, 122, 75)(46, 76, 125, 77)(47, 78, 128, 79)(52, 86, 141, 87)(60, 98, 158, 99)(61, 100, 126, 101)(63, 103, 161, 104)(64, 105, 163, 106)(66, 108, 144, 109)(67, 110, 148, 111)(68, 112, 142, 113)(73, 120, 143, 121)(81, 132, 177, 133)(82, 134, 178, 135)(84, 137, 116, 138)(85, 139, 181, 140)(89, 145, 183, 146)(90, 147, 164, 123)(92, 119, 172, 149)(93, 150, 186, 151)(95, 153, 131, 115)(96, 154, 136, 155)(97, 156, 129, 157)(102, 160, 130, 127)(107, 152, 182, 165)(118, 170, 205, 171)(124, 174, 207, 175)(159, 191, 229, 192)(162, 194, 231, 195)(166, 197, 220, 198)(167, 199, 215, 200)(168, 201, 176, 202)(169, 203, 173, 204)(179, 210, 237, 211)(180, 212, 238, 213)(184, 216, 233, 217)(185, 218, 234, 219)(187, 221, 214, 222)(188, 223, 209, 224)(189, 225, 196, 226)(190, 227, 193, 228)(206, 232, 239, 235)(208, 230, 240, 236)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 115)(70, 116)(71, 118)(72, 119)(74, 123)(75, 124)(76, 126)(77, 127)(78, 129)(79, 130)(80, 131)(83, 136)(86, 142)(87, 143)(88, 144)(91, 148)(94, 152)(98, 112)(99, 122)(100, 159)(101, 137)(103, 135)(104, 162)(105, 164)(106, 110)(108, 166)(109, 132)(111, 167)(113, 168)(114, 169)(117, 139)(120, 173)(121, 140)(125, 176)(128, 165)(133, 172)(134, 179)(138, 180)(141, 182)(145, 156)(146, 161)(147, 184)(149, 185)(150, 178)(151, 154)(153, 187)(155, 188)(157, 189)(158, 190)(160, 193)(163, 196)(170, 175)(171, 206)(174, 208)(177, 209)(181, 214)(183, 215)(186, 220)(191, 195)(192, 230)(194, 232)(197, 203)(198, 205)(199, 207)(200, 201)(202, 233)(204, 234)(210, 213)(211, 236)(212, 235)(216, 219)(217, 239)(218, 240)(221, 227)(222, 229)(223, 231)(224, 225)(226, 237)(228, 238)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3097
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.3100 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1)^5, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 35, 22)(15, 26, 20, 27)(23, 37, 56, 38)(25, 39, 59, 40)(28, 43, 66, 44)(30, 45, 69, 46)(31, 47, 72, 48)(33, 49, 75, 50)(34, 51, 78, 52)(36, 53, 81, 54)(41, 61, 92, 62)(42, 63, 95, 64)(55, 83, 122, 84)(57, 85, 125, 86)(58, 87, 127, 88)(60, 89, 129, 90)(65, 97, 140, 98)(67, 99, 142, 100)(68, 101, 144, 102)(70, 103, 147, 104)(71, 105, 150, 106)(73, 107, 153, 108)(74, 109, 155, 110)(76, 111, 157, 112)(77, 113, 160, 114)(79, 115, 162, 116)(80, 117, 164, 118)(82, 119, 167, 120)(91, 131, 182, 132)(93, 133, 185, 134)(94, 135, 187, 136)(96, 137, 189, 138)(121, 169, 214, 170)(123, 171, 215, 172)(124, 173, 152, 174)(126, 175, 216, 176)(128, 177, 217, 178)(130, 179, 159, 180)(139, 191, 158, 192)(141, 193, 226, 194)(143, 183, 220, 195)(145, 196, 165, 197)(146, 186, 222, 198)(148, 199, 227, 200)(149, 201, 230, 202)(151, 203, 224, 190)(154, 204, 221, 184)(156, 205, 231, 206)(161, 207, 232, 208)(163, 188, 223, 209)(166, 181, 219, 210)(168, 211, 233, 212)(213, 235, 228, 236)(218, 237, 225, 238)(229, 239, 234, 240)(241, 242)(243, 247)(244, 249)(245, 250)(246, 252)(248, 255)(251, 260)(253, 263)(254, 265)(256, 268)(257, 270)(258, 271)(259, 273)(261, 274)(262, 276)(264, 269)(266, 281)(267, 282)(272, 275)(277, 295)(278, 297)(279, 298)(280, 300)(283, 305)(284, 307)(285, 308)(286, 310)(287, 311)(288, 313)(289, 314)(290, 316)(291, 317)(292, 319)(293, 320)(294, 322)(296, 299)(301, 331)(302, 333)(303, 334)(304, 336)(306, 309)(312, 315)(318, 321)(323, 361)(324, 363)(325, 364)(326, 348)(327, 366)(328, 368)(329, 354)(330, 370)(332, 335)(337, 379)(338, 351)(339, 381)(340, 383)(341, 357)(342, 385)(343, 386)(344, 388)(345, 389)(346, 391)(347, 392)(349, 394)(350, 396)(352, 398)(353, 399)(355, 401)(356, 403)(358, 405)(359, 406)(360, 408)(362, 365)(367, 369)(371, 421)(372, 423)(373, 424)(374, 412)(375, 426)(376, 428)(377, 416)(378, 430)(380, 382)(384, 387)(390, 393)(395, 397)(400, 402)(404, 407)(409, 453)(410, 439)(411, 444)(413, 433)(414, 447)(415, 443)(417, 445)(418, 437)(419, 432)(420, 458)(422, 425)(427, 429)(431, 465)(434, 448)(435, 450)(436, 446)(438, 449)(440, 468)(441, 469)(442, 451)(452, 474)(454, 455)(456, 457)(459, 473)(460, 466)(461, 471)(462, 467)(463, 472)(464, 470)(475, 479)(476, 477)(478, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3108
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.3101 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^5 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 113, 69)(44, 73, 121, 74)(46, 76, 126, 77)(49, 81, 134, 82)(54, 89, 142, 90)(57, 94, 148, 95)(59, 97, 151, 98)(62, 102, 157, 103)(65, 107, 159, 108)(67, 110, 104, 111)(70, 115, 166, 116)(72, 118, 169, 119)(75, 123, 173, 124)(78, 128, 177, 129)(80, 131, 179, 132)(83, 136, 88, 137)(85, 139, 181, 140)(86, 112, 163, 130)(91, 144, 186, 145)(93, 146, 174, 125)(96, 149, 190, 150)(99, 122, 172, 153)(101, 154, 194, 155)(106, 117, 168, 135)(109, 160, 133, 161)(114, 164, 138, 165)(120, 170, 205, 171)(127, 175, 208, 176)(141, 182, 156, 183)(143, 184, 158, 185)(147, 188, 219, 189)(152, 191, 220, 192)(162, 197, 227, 198)(167, 201, 232, 202)(178, 210, 237, 211)(180, 212, 238, 213)(187, 217, 239, 218)(193, 221, 240, 222)(195, 223, 203, 224)(196, 225, 204, 226)(199, 228, 214, 229)(200, 230, 209, 231)(206, 233, 216, 234)(207, 235, 215, 236)(241, 242)(243, 247)(244, 249)(245, 250)(246, 252)(248, 255)(251, 260)(253, 263)(254, 265)(256, 268)(257, 270)(258, 271)(259, 273)(261, 276)(262, 278)(264, 281)(266, 284)(267, 286)(269, 289)(272, 294)(274, 297)(275, 299)(277, 302)(279, 305)(280, 307)(282, 310)(283, 312)(285, 315)(287, 318)(288, 320)(290, 323)(291, 325)(292, 326)(293, 328)(295, 331)(296, 333)(298, 336)(300, 339)(301, 341)(303, 344)(304, 346)(306, 349)(308, 352)(309, 354)(311, 357)(313, 360)(314, 362)(316, 365)(317, 367)(319, 370)(321, 373)(322, 375)(324, 378)(327, 381)(329, 347)(330, 383)(332, 379)(334, 387)(335, 368)(337, 359)(338, 392)(340, 348)(342, 396)(343, 380)(345, 398)(350, 402)(351, 376)(353, 389)(355, 372)(356, 407)(358, 393)(361, 388)(363, 382)(364, 397)(366, 391)(369, 386)(371, 418)(374, 390)(377, 420)(384, 395)(385, 427)(394, 433)(399, 435)(400, 410)(401, 436)(403, 439)(404, 416)(405, 440)(406, 411)(408, 443)(409, 444)(412, 446)(413, 430)(414, 447)(415, 419)(417, 449)(421, 454)(422, 428)(423, 455)(424, 432)(425, 456)(426, 429)(431, 434)(437, 442)(438, 461)(441, 457)(445, 460)(448, 459)(450, 453)(451, 462)(452, 458)(463, 468)(464, 478)(465, 471)(466, 477)(467, 469)(470, 472)(473, 476)(474, 479)(475, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3109
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.3102 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, T1^4, (F * T2)^2, (T1 * T2^-1)^3, T2^2 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-2 * T1^-1, T2^12, T2^2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-4 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 47, 84, 141, 98, 56, 30, 14, 5)(2, 7, 17, 36, 66, 115, 176, 124, 72, 40, 20, 8)(4, 12, 26, 50, 89, 146, 189, 132, 77, 43, 22, 9)(6, 15, 31, 58, 102, 160, 210, 169, 108, 62, 34, 16)(11, 19, 38, 68, 118, 97, 153, 175, 116, 80, 45, 23)(13, 28, 52, 92, 131, 188, 140, 85, 137, 87, 49, 27)(18, 33, 60, 104, 163, 123, 182, 209, 161, 111, 64, 35)(21, 41, 73, 126, 168, 216, 199, 147, 156, 100, 57, 32)(25, 42, 75, 128, 93, 55, 96, 145, 90, 138, 82, 46)(29, 54, 94, 119, 71, 122, 83, 48, 79, 113, 65, 37)(39, 70, 120, 164, 107, 167, 114, 67, 110, 158, 101, 59)(44, 78, 133, 191, 206, 198, 152, 179, 222, 184, 125, 74)(51, 61, 106, 165, 127, 76, 130, 159, 103, 155, 144, 88)(53, 63, 109, 170, 218, 194, 139, 181, 213, 202, 149, 91)(69, 99, 154, 204, 192, 135, 174, 215, 185, 223, 178, 117)(81, 136, 193, 229, 203, 151, 95, 148, 200, 227, 190, 134)(86, 142, 196, 219, 172, 208, 187, 150, 201, 212, 162, 105)(112, 173, 220, 236, 224, 180, 121, 177, 221, 235, 217, 171)(129, 183, 225, 237, 230, 195, 143, 197, 228, 238, 226, 186)(157, 207, 232, 240, 234, 214, 166, 211, 233, 239, 231, 205)(241, 242, 246, 244)(243, 249, 261, 251)(245, 253, 258, 247)(248, 259, 272, 255)(250, 263, 284, 265)(252, 256, 273, 267)(254, 269, 293, 268)(257, 275, 303, 277)(260, 279, 309, 278)(262, 282, 314, 281)(264, 286, 321, 288)(266, 289, 326, 291)(270, 295, 335, 294)(271, 297, 339, 299)(274, 301, 345, 300)(276, 305, 352, 307)(280, 311, 361, 310)(283, 316, 369, 315)(285, 319, 374, 318)(287, 323, 379, 325)(290, 328, 383, 330)(292, 331, 388, 333)(296, 337, 392, 336)(298, 341, 397, 343)(302, 347, 406, 346)(304, 350, 411, 349)(306, 354, 414, 356)(308, 357, 417, 359)(312, 363, 421, 362)(313, 365, 423, 367)(317, 371, 427, 370)(320, 375, 413, 353)(322, 377, 434, 376)(324, 380, 422, 364)(327, 378, 435, 382)(329, 385, 438, 387)(332, 368, 426, 390)(334, 391, 419, 358)(338, 386, 439, 393)(340, 395, 445, 394)(342, 399, 448, 401)(344, 402, 451, 404)(348, 408, 455, 407)(351, 412, 447, 398)(355, 415, 456, 409)(360, 420, 453, 403)(366, 405, 454, 425)(372, 400, 449, 428)(373, 430, 460, 432)(381, 416, 450, 429)(384, 396, 446, 437)(389, 441, 466, 440)(410, 457, 472, 459)(418, 462, 443, 461)(424, 463, 474, 465)(431, 444, 471, 468)(433, 458, 436, 470)(442, 464, 473, 452)(467, 478, 479, 476)(469, 477, 480, 475)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.3110
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.3103 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, (T2^-1 * T1 * T2^-2)^3, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 106, 152, 87, 68, 32, 14, 5)(2, 7, 17, 38, 80, 56, 113, 135, 92, 44, 20, 8)(4, 12, 27, 58, 110, 132, 120, 63, 100, 48, 22, 9)(6, 15, 33, 70, 128, 84, 149, 95, 140, 76, 36, 16)(11, 26, 55, 111, 154, 88, 42, 19, 41, 85, 50, 23)(13, 29, 61, 115, 57, 28, 60, 107, 168, 122, 64, 30)(18, 40, 83, 147, 184, 136, 74, 35, 73, 133, 78, 37)(21, 45, 93, 126, 69, 34, 72, 131, 182, 159, 96, 46)(25, 54, 109, 169, 124, 67, 98, 47, 97, 160, 105, 51)(31, 65, 103, 145, 79, 39, 82, 53, 108, 156, 91, 66)(43, 89, 143, 180, 127, 71, 130, 81, 146, 186, 139, 90)(49, 101, 163, 198, 157, 94, 153, 195, 222, 203, 165, 102)(59, 117, 129, 181, 162, 99, 138, 75, 137, 178, 158, 116)(62, 119, 174, 209, 219, 189, 142, 77, 141, 187, 173, 118)(86, 151, 194, 223, 202, 171, 112, 125, 177, 211, 193, 150)(104, 166, 204, 228, 201, 164, 123, 176, 210, 230, 205, 167)(114, 172, 207, 215, 183, 134, 121, 175, 208, 218, 192, 148)(144, 190, 220, 235, 217, 188, 155, 196, 224, 236, 221, 191)(161, 200, 227, 238, 229, 206, 170, 197, 225, 237, 226, 199)(179, 213, 232, 239, 231, 212, 185, 216, 234, 240, 233, 214)(241, 242, 246, 244)(243, 249, 261, 251)(245, 253, 258, 247)(248, 259, 274, 255)(250, 263, 289, 265)(252, 256, 275, 268)(254, 271, 302, 269)(257, 277, 317, 279)(260, 283, 326, 281)(262, 287, 334, 285)(264, 291, 344, 293)(266, 286, 335, 296)(267, 297, 354, 299)(270, 303, 324, 280)(272, 307, 363, 305)(273, 309, 365, 311)(276, 315, 374, 313)(278, 319, 384, 321)(282, 327, 372, 312)(284, 331, 395, 329)(288, 339, 401, 337)(290, 343, 404, 341)(292, 322, 382, 347)(294, 342, 371, 350)(295, 320, 370, 352)(298, 356, 410, 349)(300, 314, 375, 346)(301, 358, 406, 345)(304, 361, 378, 340)(306, 332, 376, 359)(308, 328, 393, 338)(310, 367, 419, 369)(316, 379, 425, 377)(318, 383, 428, 381)(323, 368, 357, 388)(325, 390, 430, 385)(330, 380, 336, 391)(333, 397, 437, 398)(348, 407, 435, 394)(351, 411, 436, 396)(353, 389, 360, 392)(355, 400, 439, 412)(362, 409, 446, 415)(364, 408, 429, 416)(366, 418, 452, 417)(373, 423, 453, 420)(386, 431, 414, 424)(387, 432, 456, 426)(399, 421, 454, 434)(402, 422, 405, 440)(403, 441, 464, 442)(413, 448, 469, 444)(427, 457, 474, 458)(433, 462, 445, 460)(438, 463, 473, 465)(443, 451, 471, 467)(447, 466, 450, 459)(449, 461, 472, 455)(468, 478, 479, 476)(470, 477, 480, 475)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E21.3111
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.3104 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^2)^3, (T1^-2 * T2 * T1^2 * T2)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, T1^12, T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * 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, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 49)(26, 50)(27, 40)(30, 55)(31, 58)(34, 61)(35, 64)(37, 66)(38, 69)(41, 74)(42, 70)(44, 77)(45, 80)(47, 83)(48, 84)(51, 87)(52, 90)(53, 60)(54, 93)(56, 95)(57, 98)(59, 101)(62, 104)(63, 107)(65, 110)(67, 113)(68, 116)(71, 117)(72, 119)(73, 109)(75, 125)(76, 122)(78, 128)(79, 129)(81, 132)(82, 133)(85, 120)(86, 137)(88, 138)(89, 124)(91, 142)(92, 145)(94, 147)(96, 115)(97, 151)(99, 152)(100, 153)(102, 157)(103, 159)(105, 161)(106, 164)(108, 165)(111, 170)(112, 167)(114, 171)(118, 175)(121, 179)(123, 180)(126, 184)(127, 182)(130, 185)(131, 186)(134, 189)(135, 190)(136, 192)(139, 195)(140, 178)(141, 196)(143, 154)(144, 201)(146, 202)(148, 173)(149, 204)(150, 206)(155, 194)(156, 169)(158, 211)(160, 213)(162, 163)(166, 197)(168, 218)(172, 205)(174, 221)(176, 220)(177, 222)(181, 223)(183, 217)(187, 209)(188, 224)(191, 225)(193, 208)(198, 226)(199, 200)(203, 219)(207, 229)(210, 231)(212, 232)(214, 233)(215, 234)(216, 235)(227, 237)(228, 238)(230, 239)(236, 240)(241, 242, 245, 251, 263, 285, 319, 318, 284, 262, 250, 244)(243, 247, 255, 271, 297, 337, 369, 354, 307, 277, 258, 248)(246, 253, 267, 292, 329, 379, 368, 390, 336, 296, 270, 254)(249, 259, 278, 308, 355, 371, 320, 370, 360, 312, 280, 260)(252, 265, 276, 305, 349, 367, 317, 366, 338, 328, 291, 266)(256, 273, 300, 342, 396, 449, 411, 426, 402, 345, 302, 274)(257, 275, 303, 346, 403, 446, 391, 439, 383, 331, 293, 268)(261, 281, 313, 361, 353, 322, 286, 321, 327, 299, 272, 282)(264, 287, 295, 334, 309, 316, 283, 315, 364, 375, 325, 288)(269, 294, 332, 384, 440, 424, 435, 457, 406, 348, 304, 289)(279, 310, 301, 343, 398, 429, 425, 373, 427, 416, 358, 311)(290, 326, 376, 431, 423, 365, 422, 420, 443, 386, 333, 323)(298, 339, 344, 400, 347, 352, 306, 351, 409, 447, 394, 340)(314, 362, 357, 414, 433, 377, 372, 324, 374, 428, 421, 363)(330, 380, 382, 438, 385, 389, 335, 388, 404, 455, 437, 381)(341, 395, 448, 470, 460, 410, 419, 458, 463, 452, 399, 392)(350, 407, 405, 456, 432, 434, 378, 393, 441, 467, 459, 408)(356, 412, 415, 450, 397, 418, 359, 417, 451, 454, 401, 413)(387, 444, 442, 468, 464, 462, 430, 436, 465, 476, 461, 445)(453, 473, 472, 478, 477, 466, 469, 471, 479, 480, 475, 474)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.3106
Transitivity :: ET+
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.3105 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-1 * T2 * T1^4 * T2 * T1^-2 * T2 * T1^-1, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 89)(48, 90)(49, 59)(52, 78)(53, 95)(55, 97)(56, 100)(58, 102)(61, 106)(62, 107)(63, 109)(65, 111)(66, 114)(68, 117)(69, 115)(71, 80)(72, 121)(75, 123)(77, 126)(81, 131)(82, 128)(84, 134)(85, 135)(87, 138)(88, 94)(91, 142)(92, 143)(93, 129)(96, 149)(98, 150)(99, 152)(101, 154)(103, 157)(104, 159)(105, 160)(108, 164)(110, 166)(112, 168)(113, 169)(116, 171)(118, 174)(119, 172)(120, 176)(122, 180)(124, 182)(125, 165)(127, 132)(130, 187)(133, 188)(136, 161)(137, 141)(139, 190)(140, 191)(144, 194)(145, 196)(146, 170)(147, 178)(148, 197)(151, 175)(153, 199)(155, 184)(156, 200)(158, 163)(162, 173)(167, 209)(177, 201)(179, 204)(181, 216)(183, 217)(185, 205)(186, 219)(189, 221)(192, 223)(193, 220)(195, 202)(198, 226)(203, 229)(206, 222)(207, 231)(208, 232)(210, 233)(211, 234)(212, 235)(213, 224)(214, 215)(218, 228)(225, 237)(227, 238)(230, 239)(236, 240)(241, 242, 245, 251, 263, 285, 325, 324, 284, 262, 250, 244)(243, 247, 255, 271, 299, 343, 375, 360, 311, 277, 258, 248)(246, 253, 267, 293, 334, 386, 374, 365, 316, 298, 270, 254)(249, 259, 278, 312, 294, 336, 326, 376, 367, 317, 280, 260)(252, 265, 289, 331, 381, 373, 323, 309, 276, 308, 292, 266)(256, 273, 303, 348, 403, 420, 416, 389, 337, 352, 305, 274)(257, 275, 306, 353, 349, 405, 397, 383, 391, 338, 295, 268)(261, 281, 318, 302, 272, 301, 286, 327, 377, 370, 320, 282)(264, 287, 328, 379, 372, 322, 283, 321, 297, 341, 313, 288)(269, 296, 339, 356, 307, 355, 410, 431, 435, 384, 332, 290)(279, 314, 362, 419, 455, 445, 401, 346, 304, 350, 364, 315)(291, 333, 385, 393, 340, 371, 428, 461, 464, 432, 380, 329)(300, 344, 398, 443, 415, 359, 310, 358, 351, 407, 354, 345)(319, 368, 425, 458, 462, 429, 378, 330, 363, 421, 426, 369)(335, 387, 409, 451, 442, 396, 342, 395, 390, 438, 392, 388)(347, 402, 446, 448, 406, 414, 427, 460, 459, 470, 444, 399)(357, 412, 434, 465, 436, 433, 382, 400, 411, 452, 453, 413)(361, 417, 454, 450, 408, 424, 366, 423, 422, 447, 404, 418)(394, 440, 463, 476, 456, 457, 430, 437, 439, 467, 468, 441)(449, 473, 479, 480, 475, 466, 469, 471, 472, 478, 477, 474)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E21.3107
Transitivity :: ET+
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.3106 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1)^5, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^12 ]
Map::
	R = (1, 241, 3, 243, 8, 248, 4, 244)(2, 242, 5, 245, 11, 251, 6, 246)(7, 247, 13, 253, 24, 264, 14, 254)(9, 249, 16, 256, 29, 269, 17, 257)(10, 250, 18, 258, 32, 272, 19, 259)(12, 252, 21, 261, 35, 275, 22, 262)(15, 255, 26, 266, 20, 260, 27, 267)(23, 263, 37, 277, 56, 296, 38, 278)(25, 265, 39, 279, 59, 299, 40, 280)(28, 268, 43, 283, 66, 306, 44, 284)(30, 270, 45, 285, 69, 309, 46, 286)(31, 271, 47, 287, 72, 312, 48, 288)(33, 273, 49, 289, 75, 315, 50, 290)(34, 274, 51, 291, 78, 318, 52, 292)(36, 276, 53, 293, 81, 321, 54, 294)(41, 281, 61, 301, 92, 332, 62, 302)(42, 282, 63, 303, 95, 335, 64, 304)(55, 295, 83, 323, 122, 362, 84, 324)(57, 297, 85, 325, 125, 365, 86, 326)(58, 298, 87, 327, 127, 367, 88, 328)(60, 300, 89, 329, 129, 369, 90, 330)(65, 305, 97, 337, 140, 380, 98, 338)(67, 307, 99, 339, 142, 382, 100, 340)(68, 308, 101, 341, 144, 384, 102, 342)(70, 310, 103, 343, 147, 387, 104, 344)(71, 311, 105, 345, 150, 390, 106, 346)(73, 313, 107, 347, 153, 393, 108, 348)(74, 314, 109, 349, 155, 395, 110, 350)(76, 316, 111, 351, 157, 397, 112, 352)(77, 317, 113, 353, 160, 400, 114, 354)(79, 319, 115, 355, 162, 402, 116, 356)(80, 320, 117, 357, 164, 404, 118, 358)(82, 322, 119, 359, 167, 407, 120, 360)(91, 331, 131, 371, 182, 422, 132, 372)(93, 333, 133, 373, 185, 425, 134, 374)(94, 334, 135, 375, 187, 427, 136, 376)(96, 336, 137, 377, 189, 429, 138, 378)(121, 361, 169, 409, 214, 454, 170, 410)(123, 363, 171, 411, 215, 455, 172, 412)(124, 364, 173, 413, 152, 392, 174, 414)(126, 366, 175, 415, 216, 456, 176, 416)(128, 368, 177, 417, 217, 457, 178, 418)(130, 370, 179, 419, 159, 399, 180, 420)(139, 379, 191, 431, 158, 398, 192, 432)(141, 381, 193, 433, 226, 466, 194, 434)(143, 383, 183, 423, 220, 460, 195, 435)(145, 385, 196, 436, 165, 405, 197, 437)(146, 386, 186, 426, 222, 462, 198, 438)(148, 388, 199, 439, 227, 467, 200, 440)(149, 389, 201, 441, 230, 470, 202, 442)(151, 391, 203, 443, 224, 464, 190, 430)(154, 394, 204, 444, 221, 461, 184, 424)(156, 396, 205, 445, 231, 471, 206, 446)(161, 401, 207, 447, 232, 472, 208, 448)(163, 403, 188, 428, 223, 463, 209, 449)(166, 406, 181, 421, 219, 459, 210, 450)(168, 408, 211, 451, 233, 473, 212, 452)(213, 453, 235, 475, 228, 468, 236, 476)(218, 458, 237, 477, 225, 465, 238, 478)(229, 469, 239, 479, 234, 474, 240, 480)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 250)(6, 252)(7, 243)(8, 255)(9, 244)(10, 245)(11, 260)(12, 246)(13, 263)(14, 265)(15, 248)(16, 268)(17, 270)(18, 271)(19, 273)(20, 251)(21, 274)(22, 276)(23, 253)(24, 269)(25, 254)(26, 281)(27, 282)(28, 256)(29, 264)(30, 257)(31, 258)(32, 275)(33, 259)(34, 261)(35, 272)(36, 262)(37, 295)(38, 297)(39, 298)(40, 300)(41, 266)(42, 267)(43, 305)(44, 307)(45, 308)(46, 310)(47, 311)(48, 313)(49, 314)(50, 316)(51, 317)(52, 319)(53, 320)(54, 322)(55, 277)(56, 299)(57, 278)(58, 279)(59, 296)(60, 280)(61, 331)(62, 333)(63, 334)(64, 336)(65, 283)(66, 309)(67, 284)(68, 285)(69, 306)(70, 286)(71, 287)(72, 315)(73, 288)(74, 289)(75, 312)(76, 290)(77, 291)(78, 321)(79, 292)(80, 293)(81, 318)(82, 294)(83, 361)(84, 363)(85, 364)(86, 348)(87, 366)(88, 368)(89, 354)(90, 370)(91, 301)(92, 335)(93, 302)(94, 303)(95, 332)(96, 304)(97, 379)(98, 351)(99, 381)(100, 383)(101, 357)(102, 385)(103, 386)(104, 388)(105, 389)(106, 391)(107, 392)(108, 326)(109, 394)(110, 396)(111, 338)(112, 398)(113, 399)(114, 329)(115, 401)(116, 403)(117, 341)(118, 405)(119, 406)(120, 408)(121, 323)(122, 365)(123, 324)(124, 325)(125, 362)(126, 327)(127, 369)(128, 328)(129, 367)(130, 330)(131, 421)(132, 423)(133, 424)(134, 412)(135, 426)(136, 428)(137, 416)(138, 430)(139, 337)(140, 382)(141, 339)(142, 380)(143, 340)(144, 387)(145, 342)(146, 343)(147, 384)(148, 344)(149, 345)(150, 393)(151, 346)(152, 347)(153, 390)(154, 349)(155, 397)(156, 350)(157, 395)(158, 352)(159, 353)(160, 402)(161, 355)(162, 400)(163, 356)(164, 407)(165, 358)(166, 359)(167, 404)(168, 360)(169, 453)(170, 439)(171, 444)(172, 374)(173, 433)(174, 447)(175, 443)(176, 377)(177, 445)(178, 437)(179, 432)(180, 458)(181, 371)(182, 425)(183, 372)(184, 373)(185, 422)(186, 375)(187, 429)(188, 376)(189, 427)(190, 378)(191, 465)(192, 419)(193, 413)(194, 448)(195, 450)(196, 446)(197, 418)(198, 449)(199, 410)(200, 468)(201, 469)(202, 451)(203, 415)(204, 411)(205, 417)(206, 436)(207, 414)(208, 434)(209, 438)(210, 435)(211, 442)(212, 474)(213, 409)(214, 455)(215, 454)(216, 457)(217, 456)(218, 420)(219, 473)(220, 466)(221, 471)(222, 467)(223, 472)(224, 470)(225, 431)(226, 460)(227, 462)(228, 440)(229, 441)(230, 464)(231, 461)(232, 463)(233, 459)(234, 452)(235, 479)(236, 477)(237, 476)(238, 480)(239, 475)(240, 478)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3104
Transitivity :: ET+ VT+ AT
Graph::
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.3107 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^5 ]
Map::
	R = (1, 241, 3, 243, 8, 248, 4, 244)(2, 242, 5, 245, 11, 251, 6, 246)(7, 247, 13, 253, 24, 264, 14, 254)(9, 249, 16, 256, 29, 269, 17, 257)(10, 250, 18, 258, 32, 272, 19, 259)(12, 252, 21, 261, 37, 277, 22, 262)(15, 255, 26, 266, 45, 285, 27, 267)(20, 260, 34, 274, 58, 298, 35, 275)(23, 263, 39, 279, 66, 306, 40, 280)(25, 265, 42, 282, 71, 311, 43, 283)(28, 268, 47, 287, 79, 319, 48, 288)(30, 270, 50, 290, 84, 324, 51, 291)(31, 271, 52, 292, 87, 327, 53, 293)(33, 273, 55, 295, 92, 332, 56, 296)(36, 276, 60, 300, 100, 340, 61, 301)(38, 278, 63, 303, 105, 345, 64, 304)(41, 281, 68, 308, 113, 353, 69, 309)(44, 284, 73, 313, 121, 361, 74, 314)(46, 286, 76, 316, 126, 366, 77, 317)(49, 289, 81, 321, 134, 374, 82, 322)(54, 294, 89, 329, 142, 382, 90, 330)(57, 297, 94, 334, 148, 388, 95, 335)(59, 299, 97, 337, 151, 391, 98, 338)(62, 302, 102, 342, 157, 397, 103, 343)(65, 305, 107, 347, 159, 399, 108, 348)(67, 307, 110, 350, 104, 344, 111, 351)(70, 310, 115, 355, 166, 406, 116, 356)(72, 312, 118, 358, 169, 409, 119, 359)(75, 315, 123, 363, 173, 413, 124, 364)(78, 318, 128, 368, 177, 417, 129, 369)(80, 320, 131, 371, 179, 419, 132, 372)(83, 323, 136, 376, 88, 328, 137, 377)(85, 325, 139, 379, 181, 421, 140, 380)(86, 326, 112, 352, 163, 403, 130, 370)(91, 331, 144, 384, 186, 426, 145, 385)(93, 333, 146, 386, 174, 414, 125, 365)(96, 336, 149, 389, 190, 430, 150, 390)(99, 339, 122, 362, 172, 412, 153, 393)(101, 341, 154, 394, 194, 434, 155, 395)(106, 346, 117, 357, 168, 408, 135, 375)(109, 349, 160, 400, 133, 373, 161, 401)(114, 354, 164, 404, 138, 378, 165, 405)(120, 360, 170, 410, 205, 445, 171, 411)(127, 367, 175, 415, 208, 448, 176, 416)(141, 381, 182, 422, 156, 396, 183, 423)(143, 383, 184, 424, 158, 398, 185, 425)(147, 387, 188, 428, 219, 459, 189, 429)(152, 392, 191, 431, 220, 460, 192, 432)(162, 402, 197, 437, 227, 467, 198, 438)(167, 407, 201, 441, 232, 472, 202, 442)(178, 418, 210, 450, 237, 477, 211, 451)(180, 420, 212, 452, 238, 478, 213, 453)(187, 427, 217, 457, 239, 479, 218, 458)(193, 433, 221, 461, 240, 480, 222, 462)(195, 435, 223, 463, 203, 443, 224, 464)(196, 436, 225, 465, 204, 444, 226, 466)(199, 439, 228, 468, 214, 454, 229, 469)(200, 440, 230, 470, 209, 449, 231, 471)(206, 446, 233, 473, 216, 456, 234, 474)(207, 447, 235, 475, 215, 455, 236, 476)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 250)(6, 252)(7, 243)(8, 255)(9, 244)(10, 245)(11, 260)(12, 246)(13, 263)(14, 265)(15, 248)(16, 268)(17, 270)(18, 271)(19, 273)(20, 251)(21, 276)(22, 278)(23, 253)(24, 281)(25, 254)(26, 284)(27, 286)(28, 256)(29, 289)(30, 257)(31, 258)(32, 294)(33, 259)(34, 297)(35, 299)(36, 261)(37, 302)(38, 262)(39, 305)(40, 307)(41, 264)(42, 310)(43, 312)(44, 266)(45, 315)(46, 267)(47, 318)(48, 320)(49, 269)(50, 323)(51, 325)(52, 326)(53, 328)(54, 272)(55, 331)(56, 333)(57, 274)(58, 336)(59, 275)(60, 339)(61, 341)(62, 277)(63, 344)(64, 346)(65, 279)(66, 349)(67, 280)(68, 352)(69, 354)(70, 282)(71, 357)(72, 283)(73, 360)(74, 362)(75, 285)(76, 365)(77, 367)(78, 287)(79, 370)(80, 288)(81, 373)(82, 375)(83, 290)(84, 378)(85, 291)(86, 292)(87, 381)(88, 293)(89, 347)(90, 383)(91, 295)(92, 379)(93, 296)(94, 387)(95, 368)(96, 298)(97, 359)(98, 392)(99, 300)(100, 348)(101, 301)(102, 396)(103, 380)(104, 303)(105, 398)(106, 304)(107, 329)(108, 340)(109, 306)(110, 402)(111, 376)(112, 308)(113, 389)(114, 309)(115, 372)(116, 407)(117, 311)(118, 393)(119, 337)(120, 313)(121, 388)(122, 314)(123, 382)(124, 397)(125, 316)(126, 391)(127, 317)(128, 335)(129, 386)(130, 319)(131, 418)(132, 355)(133, 321)(134, 390)(135, 322)(136, 351)(137, 420)(138, 324)(139, 332)(140, 343)(141, 327)(142, 363)(143, 330)(144, 395)(145, 427)(146, 369)(147, 334)(148, 361)(149, 353)(150, 374)(151, 366)(152, 338)(153, 358)(154, 433)(155, 384)(156, 342)(157, 364)(158, 345)(159, 435)(160, 410)(161, 436)(162, 350)(163, 439)(164, 416)(165, 440)(166, 411)(167, 356)(168, 443)(169, 444)(170, 400)(171, 406)(172, 446)(173, 430)(174, 447)(175, 419)(176, 404)(177, 449)(178, 371)(179, 415)(180, 377)(181, 454)(182, 428)(183, 455)(184, 432)(185, 456)(186, 429)(187, 385)(188, 422)(189, 426)(190, 413)(191, 434)(192, 424)(193, 394)(194, 431)(195, 399)(196, 401)(197, 442)(198, 461)(199, 403)(200, 405)(201, 457)(202, 437)(203, 408)(204, 409)(205, 460)(206, 412)(207, 414)(208, 459)(209, 417)(210, 453)(211, 462)(212, 458)(213, 450)(214, 421)(215, 423)(216, 425)(217, 441)(218, 452)(219, 448)(220, 445)(221, 438)(222, 451)(223, 468)(224, 478)(225, 471)(226, 477)(227, 469)(228, 463)(229, 467)(230, 472)(231, 465)(232, 470)(233, 476)(234, 479)(235, 480)(236, 473)(237, 466)(238, 464)(239, 474)(240, 475)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3105
Transitivity :: ET+ VT+ AT
Graph::
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.3108 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, T1^4, (F * T2)^2, (T1 * T2^-1)^3, T2^2 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-2 * T1^-1, T2^12, T2^2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-4 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 241, 3, 243, 10, 250, 24, 264, 47, 287, 84, 324, 141, 381, 98, 338, 56, 296, 30, 270, 14, 254, 5, 245)(2, 242, 7, 247, 17, 257, 36, 276, 66, 306, 115, 355, 176, 416, 124, 364, 72, 312, 40, 280, 20, 260, 8, 248)(4, 244, 12, 252, 26, 266, 50, 290, 89, 329, 146, 386, 189, 429, 132, 372, 77, 317, 43, 283, 22, 262, 9, 249)(6, 246, 15, 255, 31, 271, 58, 298, 102, 342, 160, 400, 210, 450, 169, 409, 108, 348, 62, 302, 34, 274, 16, 256)(11, 251, 19, 259, 38, 278, 68, 308, 118, 358, 97, 337, 153, 393, 175, 415, 116, 356, 80, 320, 45, 285, 23, 263)(13, 253, 28, 268, 52, 292, 92, 332, 131, 371, 188, 428, 140, 380, 85, 325, 137, 377, 87, 327, 49, 289, 27, 267)(18, 258, 33, 273, 60, 300, 104, 344, 163, 403, 123, 363, 182, 422, 209, 449, 161, 401, 111, 351, 64, 304, 35, 275)(21, 261, 41, 281, 73, 313, 126, 366, 168, 408, 216, 456, 199, 439, 147, 387, 156, 396, 100, 340, 57, 297, 32, 272)(25, 265, 42, 282, 75, 315, 128, 368, 93, 333, 55, 295, 96, 336, 145, 385, 90, 330, 138, 378, 82, 322, 46, 286)(29, 269, 54, 294, 94, 334, 119, 359, 71, 311, 122, 362, 83, 323, 48, 288, 79, 319, 113, 353, 65, 305, 37, 277)(39, 279, 70, 310, 120, 360, 164, 404, 107, 347, 167, 407, 114, 354, 67, 307, 110, 350, 158, 398, 101, 341, 59, 299)(44, 284, 78, 318, 133, 373, 191, 431, 206, 446, 198, 438, 152, 392, 179, 419, 222, 462, 184, 424, 125, 365, 74, 314)(51, 291, 61, 301, 106, 346, 165, 405, 127, 367, 76, 316, 130, 370, 159, 399, 103, 343, 155, 395, 144, 384, 88, 328)(53, 293, 63, 303, 109, 349, 170, 410, 218, 458, 194, 434, 139, 379, 181, 421, 213, 453, 202, 442, 149, 389, 91, 331)(69, 309, 99, 339, 154, 394, 204, 444, 192, 432, 135, 375, 174, 414, 215, 455, 185, 425, 223, 463, 178, 418, 117, 357)(81, 321, 136, 376, 193, 433, 229, 469, 203, 443, 151, 391, 95, 335, 148, 388, 200, 440, 227, 467, 190, 430, 134, 374)(86, 326, 142, 382, 196, 436, 219, 459, 172, 412, 208, 448, 187, 427, 150, 390, 201, 441, 212, 452, 162, 402, 105, 345)(112, 352, 173, 413, 220, 460, 236, 476, 224, 464, 180, 420, 121, 361, 177, 417, 221, 461, 235, 475, 217, 457, 171, 411)(129, 369, 183, 423, 225, 465, 237, 477, 230, 470, 195, 435, 143, 383, 197, 437, 228, 468, 238, 478, 226, 466, 186, 426)(157, 397, 207, 447, 232, 472, 240, 480, 234, 474, 214, 454, 166, 406, 211, 451, 233, 473, 239, 479, 231, 471, 205, 445)
	L = (1, 242)(2, 246)(3, 249)(4, 241)(5, 253)(6, 244)(7, 245)(8, 259)(9, 261)(10, 263)(11, 243)(12, 256)(13, 258)(14, 269)(15, 248)(16, 273)(17, 275)(18, 247)(19, 272)(20, 279)(21, 251)(22, 282)(23, 284)(24, 286)(25, 250)(26, 289)(27, 252)(28, 254)(29, 293)(30, 295)(31, 297)(32, 255)(33, 267)(34, 301)(35, 303)(36, 305)(37, 257)(38, 260)(39, 309)(40, 311)(41, 262)(42, 314)(43, 316)(44, 265)(45, 319)(46, 321)(47, 323)(48, 264)(49, 326)(50, 328)(51, 266)(52, 331)(53, 268)(54, 270)(55, 335)(56, 337)(57, 339)(58, 341)(59, 271)(60, 274)(61, 345)(62, 347)(63, 277)(64, 350)(65, 352)(66, 354)(67, 276)(68, 357)(69, 278)(70, 280)(71, 361)(72, 363)(73, 365)(74, 281)(75, 283)(76, 369)(77, 371)(78, 285)(79, 374)(80, 375)(81, 288)(82, 377)(83, 379)(84, 380)(85, 287)(86, 291)(87, 378)(88, 383)(89, 385)(90, 290)(91, 388)(92, 368)(93, 292)(94, 391)(95, 294)(96, 296)(97, 392)(98, 386)(99, 299)(100, 395)(101, 397)(102, 399)(103, 298)(104, 402)(105, 300)(106, 302)(107, 406)(108, 408)(109, 304)(110, 411)(111, 412)(112, 307)(113, 320)(114, 414)(115, 415)(116, 306)(117, 417)(118, 334)(119, 308)(120, 420)(121, 310)(122, 312)(123, 421)(124, 324)(125, 423)(126, 405)(127, 313)(128, 426)(129, 315)(130, 317)(131, 427)(132, 400)(133, 430)(134, 318)(135, 413)(136, 322)(137, 434)(138, 435)(139, 325)(140, 422)(141, 416)(142, 327)(143, 330)(144, 396)(145, 438)(146, 439)(147, 329)(148, 333)(149, 441)(150, 332)(151, 419)(152, 336)(153, 338)(154, 340)(155, 445)(156, 446)(157, 343)(158, 351)(159, 448)(160, 449)(161, 342)(162, 451)(163, 360)(164, 344)(165, 454)(166, 346)(167, 348)(168, 455)(169, 355)(170, 457)(171, 349)(172, 447)(173, 353)(174, 356)(175, 456)(176, 450)(177, 359)(178, 462)(179, 358)(180, 453)(181, 362)(182, 364)(183, 367)(184, 463)(185, 366)(186, 390)(187, 370)(188, 372)(189, 381)(190, 460)(191, 444)(192, 373)(193, 458)(194, 376)(195, 382)(196, 470)(197, 384)(198, 387)(199, 393)(200, 389)(201, 466)(202, 464)(203, 461)(204, 471)(205, 394)(206, 437)(207, 398)(208, 401)(209, 428)(210, 429)(211, 404)(212, 442)(213, 403)(214, 425)(215, 407)(216, 409)(217, 472)(218, 436)(219, 410)(220, 432)(221, 418)(222, 443)(223, 474)(224, 473)(225, 424)(226, 440)(227, 478)(228, 431)(229, 477)(230, 433)(231, 468)(232, 459)(233, 452)(234, 465)(235, 469)(236, 467)(237, 480)(238, 479)(239, 476)(240, 475)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3100
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.3109 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, T1^4, (F * T2)^2, (F * T1)^2, T2^4 * T1 * T2^-1 * T1 * T2^-2 * T1^-1, (T2^-1 * T1 * T2^-2)^3, T2^12 ]
Map::
	R = (1, 241, 3, 243, 10, 250, 24, 264, 52, 292, 106, 346, 152, 392, 87, 327, 68, 308, 32, 272, 14, 254, 5, 245)(2, 242, 7, 247, 17, 257, 38, 278, 80, 320, 56, 296, 113, 353, 135, 375, 92, 332, 44, 284, 20, 260, 8, 248)(4, 244, 12, 252, 27, 267, 58, 298, 110, 350, 132, 372, 120, 360, 63, 303, 100, 340, 48, 288, 22, 262, 9, 249)(6, 246, 15, 255, 33, 273, 70, 310, 128, 368, 84, 324, 149, 389, 95, 335, 140, 380, 76, 316, 36, 276, 16, 256)(11, 251, 26, 266, 55, 295, 111, 351, 154, 394, 88, 328, 42, 282, 19, 259, 41, 281, 85, 325, 50, 290, 23, 263)(13, 253, 29, 269, 61, 301, 115, 355, 57, 297, 28, 268, 60, 300, 107, 347, 168, 408, 122, 362, 64, 304, 30, 270)(18, 258, 40, 280, 83, 323, 147, 387, 184, 424, 136, 376, 74, 314, 35, 275, 73, 313, 133, 373, 78, 318, 37, 277)(21, 261, 45, 285, 93, 333, 126, 366, 69, 309, 34, 274, 72, 312, 131, 371, 182, 422, 159, 399, 96, 336, 46, 286)(25, 265, 54, 294, 109, 349, 169, 409, 124, 364, 67, 307, 98, 338, 47, 287, 97, 337, 160, 400, 105, 345, 51, 291)(31, 271, 65, 305, 103, 343, 145, 385, 79, 319, 39, 279, 82, 322, 53, 293, 108, 348, 156, 396, 91, 331, 66, 306)(43, 283, 89, 329, 143, 383, 180, 420, 127, 367, 71, 311, 130, 370, 81, 321, 146, 386, 186, 426, 139, 379, 90, 330)(49, 289, 101, 341, 163, 403, 198, 438, 157, 397, 94, 334, 153, 393, 195, 435, 222, 462, 203, 443, 165, 405, 102, 342)(59, 299, 117, 357, 129, 369, 181, 421, 162, 402, 99, 339, 138, 378, 75, 315, 137, 377, 178, 418, 158, 398, 116, 356)(62, 302, 119, 359, 174, 414, 209, 449, 219, 459, 189, 429, 142, 382, 77, 317, 141, 381, 187, 427, 173, 413, 118, 358)(86, 326, 151, 391, 194, 434, 223, 463, 202, 442, 171, 411, 112, 352, 125, 365, 177, 417, 211, 451, 193, 433, 150, 390)(104, 344, 166, 406, 204, 444, 228, 468, 201, 441, 164, 404, 123, 363, 176, 416, 210, 450, 230, 470, 205, 445, 167, 407)(114, 354, 172, 412, 207, 447, 215, 455, 183, 423, 134, 374, 121, 361, 175, 415, 208, 448, 218, 458, 192, 432, 148, 388)(144, 384, 190, 430, 220, 460, 235, 475, 217, 457, 188, 428, 155, 395, 196, 436, 224, 464, 236, 476, 221, 461, 191, 431)(161, 401, 200, 440, 227, 467, 238, 478, 229, 469, 206, 446, 170, 410, 197, 437, 225, 465, 237, 477, 226, 466, 199, 439)(179, 419, 213, 453, 232, 472, 239, 479, 231, 471, 212, 452, 185, 425, 216, 456, 234, 474, 240, 480, 233, 473, 214, 454)
	L = (1, 242)(2, 246)(3, 249)(4, 241)(5, 253)(6, 244)(7, 245)(8, 259)(9, 261)(10, 263)(11, 243)(12, 256)(13, 258)(14, 271)(15, 248)(16, 275)(17, 277)(18, 247)(19, 274)(20, 283)(21, 251)(22, 287)(23, 289)(24, 291)(25, 250)(26, 286)(27, 297)(28, 252)(29, 254)(30, 303)(31, 302)(32, 307)(33, 309)(34, 255)(35, 268)(36, 315)(37, 317)(38, 319)(39, 257)(40, 270)(41, 260)(42, 327)(43, 326)(44, 331)(45, 262)(46, 335)(47, 334)(48, 339)(49, 265)(50, 343)(51, 344)(52, 322)(53, 264)(54, 342)(55, 320)(56, 266)(57, 354)(58, 356)(59, 267)(60, 314)(61, 358)(62, 269)(63, 324)(64, 361)(65, 272)(66, 332)(67, 363)(68, 328)(69, 365)(70, 367)(71, 273)(72, 282)(73, 276)(74, 375)(75, 374)(76, 379)(77, 279)(78, 383)(79, 384)(80, 370)(81, 278)(82, 382)(83, 368)(84, 280)(85, 390)(86, 281)(87, 372)(88, 393)(89, 284)(90, 380)(91, 395)(92, 376)(93, 397)(94, 285)(95, 296)(96, 391)(97, 288)(98, 308)(99, 401)(100, 304)(101, 290)(102, 371)(103, 404)(104, 293)(105, 301)(106, 300)(107, 292)(108, 407)(109, 298)(110, 294)(111, 411)(112, 295)(113, 389)(114, 299)(115, 400)(116, 410)(117, 388)(118, 406)(119, 306)(120, 392)(121, 378)(122, 409)(123, 305)(124, 408)(125, 311)(126, 418)(127, 419)(128, 357)(129, 310)(130, 352)(131, 350)(132, 312)(133, 423)(134, 313)(135, 346)(136, 359)(137, 316)(138, 340)(139, 425)(140, 336)(141, 318)(142, 347)(143, 428)(144, 321)(145, 325)(146, 431)(147, 432)(148, 323)(149, 360)(150, 430)(151, 330)(152, 353)(153, 338)(154, 348)(155, 329)(156, 351)(157, 437)(158, 333)(159, 421)(160, 439)(161, 337)(162, 422)(163, 441)(164, 341)(165, 440)(166, 345)(167, 435)(168, 429)(169, 446)(170, 349)(171, 436)(172, 355)(173, 448)(174, 424)(175, 362)(176, 364)(177, 366)(178, 452)(179, 369)(180, 373)(181, 454)(182, 405)(183, 453)(184, 386)(185, 377)(186, 387)(187, 457)(188, 381)(189, 416)(190, 385)(191, 414)(192, 456)(193, 462)(194, 399)(195, 394)(196, 396)(197, 398)(198, 463)(199, 412)(200, 402)(201, 464)(202, 403)(203, 451)(204, 413)(205, 460)(206, 415)(207, 466)(208, 469)(209, 461)(210, 459)(211, 471)(212, 417)(213, 420)(214, 434)(215, 449)(216, 426)(217, 474)(218, 427)(219, 447)(220, 433)(221, 472)(222, 445)(223, 473)(224, 442)(225, 438)(226, 450)(227, 443)(228, 478)(229, 444)(230, 477)(231, 467)(232, 455)(233, 465)(234, 458)(235, 470)(236, 468)(237, 480)(238, 479)(239, 476)(240, 475)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3101
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.3110 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^2)^3, (T1^-2 * T2 * T1^2 * T2)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, T1^12, T2 * T1^3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 241, 3, 243)(2, 242, 6, 246)(4, 244, 9, 249)(5, 245, 12, 252)(7, 247, 16, 256)(8, 248, 17, 257)(10, 250, 21, 261)(11, 251, 24, 264)(13, 253, 28, 268)(14, 254, 29, 269)(15, 255, 32, 272)(18, 258, 36, 276)(19, 259, 39, 279)(20, 260, 33, 273)(22, 262, 43, 283)(23, 263, 46, 286)(25, 265, 49, 289)(26, 266, 50, 290)(27, 267, 40, 280)(30, 270, 55, 295)(31, 271, 58, 298)(34, 274, 61, 301)(35, 275, 64, 304)(37, 277, 66, 306)(38, 278, 69, 309)(41, 281, 74, 314)(42, 282, 70, 310)(44, 284, 77, 317)(45, 285, 80, 320)(47, 287, 83, 323)(48, 288, 84, 324)(51, 291, 87, 327)(52, 292, 90, 330)(53, 293, 60, 300)(54, 294, 93, 333)(56, 296, 95, 335)(57, 297, 98, 338)(59, 299, 101, 341)(62, 302, 104, 344)(63, 303, 107, 347)(65, 305, 110, 350)(67, 307, 113, 353)(68, 308, 116, 356)(71, 311, 117, 357)(72, 312, 119, 359)(73, 313, 109, 349)(75, 315, 125, 365)(76, 316, 122, 362)(78, 318, 128, 368)(79, 319, 129, 369)(81, 321, 132, 372)(82, 322, 133, 373)(85, 325, 120, 360)(86, 326, 137, 377)(88, 328, 138, 378)(89, 329, 124, 364)(91, 331, 142, 382)(92, 332, 145, 385)(94, 334, 147, 387)(96, 336, 115, 355)(97, 337, 151, 391)(99, 339, 152, 392)(100, 340, 153, 393)(102, 342, 157, 397)(103, 343, 159, 399)(105, 345, 161, 401)(106, 346, 164, 404)(108, 348, 165, 405)(111, 351, 170, 410)(112, 352, 167, 407)(114, 354, 171, 411)(118, 358, 175, 415)(121, 361, 179, 419)(123, 363, 180, 420)(126, 366, 184, 424)(127, 367, 182, 422)(130, 370, 185, 425)(131, 371, 186, 426)(134, 374, 189, 429)(135, 375, 190, 430)(136, 376, 192, 432)(139, 379, 195, 435)(140, 380, 178, 418)(141, 381, 196, 436)(143, 383, 154, 394)(144, 384, 201, 441)(146, 386, 202, 442)(148, 388, 173, 413)(149, 389, 204, 444)(150, 390, 206, 446)(155, 395, 194, 434)(156, 396, 169, 409)(158, 398, 211, 451)(160, 400, 213, 453)(162, 402, 163, 403)(166, 406, 197, 437)(168, 408, 218, 458)(172, 412, 205, 445)(174, 414, 221, 461)(176, 416, 220, 460)(177, 417, 222, 462)(181, 421, 223, 463)(183, 423, 217, 457)(187, 427, 209, 449)(188, 428, 224, 464)(191, 431, 225, 465)(193, 433, 208, 448)(198, 438, 226, 466)(199, 439, 200, 440)(203, 443, 219, 459)(207, 447, 229, 469)(210, 450, 231, 471)(212, 452, 232, 472)(214, 454, 233, 473)(215, 455, 234, 474)(216, 456, 235, 475)(227, 467, 237, 477)(228, 468, 238, 478)(230, 470, 239, 479)(236, 476, 240, 480)
	L = (1, 242)(2, 245)(3, 247)(4, 241)(5, 251)(6, 253)(7, 255)(8, 243)(9, 259)(10, 244)(11, 263)(12, 265)(13, 267)(14, 246)(15, 271)(16, 273)(17, 275)(18, 248)(19, 278)(20, 249)(21, 281)(22, 250)(23, 285)(24, 287)(25, 276)(26, 252)(27, 292)(28, 257)(29, 294)(30, 254)(31, 297)(32, 282)(33, 300)(34, 256)(35, 303)(36, 305)(37, 258)(38, 308)(39, 310)(40, 260)(41, 313)(42, 261)(43, 315)(44, 262)(45, 319)(46, 321)(47, 295)(48, 264)(49, 269)(50, 326)(51, 266)(52, 329)(53, 268)(54, 332)(55, 334)(56, 270)(57, 337)(58, 339)(59, 272)(60, 342)(61, 343)(62, 274)(63, 346)(64, 289)(65, 349)(66, 351)(67, 277)(68, 355)(69, 316)(70, 301)(71, 279)(72, 280)(73, 361)(74, 362)(75, 364)(76, 283)(77, 366)(78, 284)(79, 318)(80, 370)(81, 327)(82, 286)(83, 290)(84, 374)(85, 288)(86, 376)(87, 299)(88, 291)(89, 379)(90, 380)(91, 293)(92, 384)(93, 323)(94, 309)(95, 388)(96, 296)(97, 369)(98, 328)(99, 344)(100, 298)(101, 395)(102, 396)(103, 398)(104, 400)(105, 302)(106, 403)(107, 352)(108, 304)(109, 367)(110, 407)(111, 409)(112, 306)(113, 322)(114, 307)(115, 371)(116, 412)(117, 414)(118, 311)(119, 417)(120, 312)(121, 353)(122, 357)(123, 314)(124, 375)(125, 422)(126, 338)(127, 317)(128, 390)(129, 354)(130, 360)(131, 320)(132, 324)(133, 427)(134, 428)(135, 325)(136, 431)(137, 372)(138, 393)(139, 368)(140, 382)(141, 330)(142, 438)(143, 331)(144, 440)(145, 389)(146, 333)(147, 444)(148, 404)(149, 335)(150, 336)(151, 439)(152, 341)(153, 441)(154, 340)(155, 448)(156, 449)(157, 418)(158, 429)(159, 392)(160, 347)(161, 413)(162, 345)(163, 446)(164, 455)(165, 456)(166, 348)(167, 405)(168, 350)(169, 447)(170, 419)(171, 426)(172, 415)(173, 356)(174, 433)(175, 450)(176, 358)(177, 451)(178, 359)(179, 458)(180, 443)(181, 363)(182, 420)(183, 365)(184, 435)(185, 373)(186, 402)(187, 416)(188, 421)(189, 425)(190, 436)(191, 423)(192, 434)(193, 377)(194, 378)(195, 457)(196, 465)(197, 381)(198, 385)(199, 383)(200, 424)(201, 467)(202, 468)(203, 386)(204, 442)(205, 387)(206, 391)(207, 394)(208, 470)(209, 411)(210, 397)(211, 454)(212, 399)(213, 473)(214, 401)(215, 437)(216, 432)(217, 406)(218, 463)(219, 408)(220, 410)(221, 445)(222, 430)(223, 452)(224, 462)(225, 476)(226, 469)(227, 459)(228, 464)(229, 471)(230, 460)(231, 479)(232, 478)(233, 472)(234, 453)(235, 474)(236, 461)(237, 466)(238, 477)(239, 480)(240, 475)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3102
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.3111 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^-1 * T2 * T1^4 * T2 * T1^-2 * T2 * T1^-1, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 241, 3, 243)(2, 242, 6, 246)(4, 244, 9, 249)(5, 245, 12, 252)(7, 247, 16, 256)(8, 248, 17, 257)(10, 250, 21, 261)(11, 251, 24, 264)(13, 253, 28, 268)(14, 254, 29, 269)(15, 255, 32, 272)(18, 258, 36, 276)(19, 259, 39, 279)(20, 260, 33, 273)(22, 262, 43, 283)(23, 263, 46, 286)(25, 265, 50, 290)(26, 266, 51, 291)(27, 267, 54, 294)(30, 270, 57, 297)(31, 271, 60, 300)(34, 274, 64, 304)(35, 275, 67, 307)(37, 277, 70, 310)(38, 278, 73, 313)(40, 280, 76, 316)(41, 281, 79, 319)(42, 282, 74, 314)(44, 284, 83, 323)(45, 285, 86, 326)(47, 287, 89, 329)(48, 288, 90, 330)(49, 289, 59, 299)(52, 292, 78, 318)(53, 293, 95, 335)(55, 295, 97, 337)(56, 296, 100, 340)(58, 298, 102, 342)(61, 301, 106, 346)(62, 302, 107, 347)(63, 303, 109, 349)(65, 305, 111, 351)(66, 306, 114, 354)(68, 308, 117, 357)(69, 309, 115, 355)(71, 311, 80, 320)(72, 312, 121, 361)(75, 315, 123, 363)(77, 317, 126, 366)(81, 321, 131, 371)(82, 322, 128, 368)(84, 324, 134, 374)(85, 325, 135, 375)(87, 327, 138, 378)(88, 328, 94, 334)(91, 331, 142, 382)(92, 332, 143, 383)(93, 333, 129, 369)(96, 336, 149, 389)(98, 338, 150, 390)(99, 339, 152, 392)(101, 341, 154, 394)(103, 343, 157, 397)(104, 344, 159, 399)(105, 345, 160, 400)(108, 348, 164, 404)(110, 350, 166, 406)(112, 352, 168, 408)(113, 353, 169, 409)(116, 356, 171, 411)(118, 358, 174, 414)(119, 359, 172, 412)(120, 360, 176, 416)(122, 362, 180, 420)(124, 364, 182, 422)(125, 365, 165, 405)(127, 367, 132, 372)(130, 370, 187, 427)(133, 373, 188, 428)(136, 376, 161, 401)(137, 377, 141, 381)(139, 379, 190, 430)(140, 380, 191, 431)(144, 384, 194, 434)(145, 385, 196, 436)(146, 386, 170, 410)(147, 387, 178, 418)(148, 388, 197, 437)(151, 391, 175, 415)(153, 393, 199, 439)(155, 395, 184, 424)(156, 396, 200, 440)(158, 398, 163, 403)(162, 402, 173, 413)(167, 407, 209, 449)(177, 417, 201, 441)(179, 419, 204, 444)(181, 421, 216, 456)(183, 423, 217, 457)(185, 425, 205, 445)(186, 426, 219, 459)(189, 429, 221, 461)(192, 432, 223, 463)(193, 433, 220, 460)(195, 435, 202, 442)(198, 438, 226, 466)(203, 443, 229, 469)(206, 446, 222, 462)(207, 447, 231, 471)(208, 448, 232, 472)(210, 450, 233, 473)(211, 451, 234, 474)(212, 452, 235, 475)(213, 453, 224, 464)(214, 454, 215, 455)(218, 458, 228, 468)(225, 465, 237, 477)(227, 467, 238, 478)(230, 470, 239, 479)(236, 476, 240, 480)
	L = (1, 242)(2, 245)(3, 247)(4, 241)(5, 251)(6, 253)(7, 255)(8, 243)(9, 259)(10, 244)(11, 263)(12, 265)(13, 267)(14, 246)(15, 271)(16, 273)(17, 275)(18, 248)(19, 278)(20, 249)(21, 281)(22, 250)(23, 285)(24, 287)(25, 289)(26, 252)(27, 293)(28, 257)(29, 296)(30, 254)(31, 299)(32, 301)(33, 303)(34, 256)(35, 306)(36, 308)(37, 258)(38, 312)(39, 314)(40, 260)(41, 318)(42, 261)(43, 321)(44, 262)(45, 325)(46, 327)(47, 328)(48, 264)(49, 331)(50, 269)(51, 333)(52, 266)(53, 334)(54, 336)(55, 268)(56, 339)(57, 341)(58, 270)(59, 343)(60, 344)(61, 286)(62, 272)(63, 348)(64, 350)(65, 274)(66, 353)(67, 355)(68, 292)(69, 276)(70, 358)(71, 277)(72, 294)(73, 288)(74, 362)(75, 279)(76, 298)(77, 280)(78, 302)(79, 368)(80, 282)(81, 297)(82, 283)(83, 309)(84, 284)(85, 324)(86, 376)(87, 377)(88, 379)(89, 291)(90, 363)(91, 381)(92, 290)(93, 385)(94, 386)(95, 387)(96, 326)(97, 352)(98, 295)(99, 356)(100, 371)(101, 313)(102, 395)(103, 375)(104, 398)(105, 300)(106, 304)(107, 402)(108, 403)(109, 405)(110, 364)(111, 407)(112, 305)(113, 349)(114, 345)(115, 410)(116, 307)(117, 412)(118, 351)(119, 310)(120, 311)(121, 417)(122, 419)(123, 421)(124, 315)(125, 316)(126, 423)(127, 317)(128, 425)(129, 319)(130, 320)(131, 428)(132, 322)(133, 323)(134, 365)(135, 360)(136, 367)(137, 370)(138, 330)(139, 372)(140, 329)(141, 373)(142, 400)(143, 391)(144, 332)(145, 393)(146, 374)(147, 409)(148, 335)(149, 337)(150, 438)(151, 338)(152, 388)(153, 340)(154, 440)(155, 390)(156, 342)(157, 383)(158, 443)(159, 347)(160, 411)(161, 346)(162, 446)(163, 420)(164, 418)(165, 397)(166, 414)(167, 354)(168, 424)(169, 451)(170, 431)(171, 452)(172, 434)(173, 357)(174, 427)(175, 359)(176, 389)(177, 454)(178, 361)(179, 455)(180, 416)(181, 426)(182, 447)(183, 422)(184, 366)(185, 458)(186, 369)(187, 460)(188, 461)(189, 378)(190, 437)(191, 435)(192, 380)(193, 382)(194, 465)(195, 384)(196, 433)(197, 439)(198, 392)(199, 467)(200, 463)(201, 394)(202, 396)(203, 415)(204, 399)(205, 401)(206, 448)(207, 404)(208, 406)(209, 473)(210, 408)(211, 442)(212, 453)(213, 413)(214, 450)(215, 445)(216, 457)(217, 430)(218, 462)(219, 470)(220, 459)(221, 464)(222, 429)(223, 476)(224, 432)(225, 436)(226, 469)(227, 468)(228, 441)(229, 471)(230, 444)(231, 472)(232, 478)(233, 479)(234, 449)(235, 466)(236, 456)(237, 474)(238, 477)(239, 480)(240, 475)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3103
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.3112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, Y2 * R * Y2^2 * R * Y2^-2 * Y1 * Y2, (Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^5, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 10, 250)(6, 246, 12, 252)(8, 248, 15, 255)(11, 251, 20, 260)(13, 253, 23, 263)(14, 254, 25, 265)(16, 256, 28, 268)(17, 257, 30, 270)(18, 258, 31, 271)(19, 259, 33, 273)(21, 261, 34, 274)(22, 262, 36, 276)(24, 264, 29, 269)(26, 266, 41, 281)(27, 267, 42, 282)(32, 272, 35, 275)(37, 277, 55, 295)(38, 278, 57, 297)(39, 279, 58, 298)(40, 280, 60, 300)(43, 283, 65, 305)(44, 284, 67, 307)(45, 285, 68, 308)(46, 286, 70, 310)(47, 287, 71, 311)(48, 288, 73, 313)(49, 289, 74, 314)(50, 290, 76, 316)(51, 291, 77, 317)(52, 292, 79, 319)(53, 293, 80, 320)(54, 294, 82, 322)(56, 296, 59, 299)(61, 301, 91, 331)(62, 302, 93, 333)(63, 303, 94, 334)(64, 304, 96, 336)(66, 306, 69, 309)(72, 312, 75, 315)(78, 318, 81, 321)(83, 323, 121, 361)(84, 324, 123, 363)(85, 325, 124, 364)(86, 326, 108, 348)(87, 327, 126, 366)(88, 328, 128, 368)(89, 329, 114, 354)(90, 330, 130, 370)(92, 332, 95, 335)(97, 337, 139, 379)(98, 338, 111, 351)(99, 339, 141, 381)(100, 340, 143, 383)(101, 341, 117, 357)(102, 342, 145, 385)(103, 343, 146, 386)(104, 344, 148, 388)(105, 345, 149, 389)(106, 346, 151, 391)(107, 347, 152, 392)(109, 349, 154, 394)(110, 350, 156, 396)(112, 352, 158, 398)(113, 353, 159, 399)(115, 355, 161, 401)(116, 356, 163, 403)(118, 358, 165, 405)(119, 359, 166, 406)(120, 360, 168, 408)(122, 362, 125, 365)(127, 367, 129, 369)(131, 371, 181, 421)(132, 372, 183, 423)(133, 373, 184, 424)(134, 374, 172, 412)(135, 375, 186, 426)(136, 376, 188, 428)(137, 377, 176, 416)(138, 378, 190, 430)(140, 380, 142, 382)(144, 384, 147, 387)(150, 390, 153, 393)(155, 395, 157, 397)(160, 400, 162, 402)(164, 404, 167, 407)(169, 409, 213, 453)(170, 410, 199, 439)(171, 411, 204, 444)(173, 413, 193, 433)(174, 414, 207, 447)(175, 415, 203, 443)(177, 417, 205, 445)(178, 418, 197, 437)(179, 419, 192, 432)(180, 420, 218, 458)(182, 422, 185, 425)(187, 427, 189, 429)(191, 431, 225, 465)(194, 434, 208, 448)(195, 435, 210, 450)(196, 436, 206, 446)(198, 438, 209, 449)(200, 440, 228, 468)(201, 441, 229, 469)(202, 442, 211, 451)(212, 452, 234, 474)(214, 454, 215, 455)(216, 456, 217, 457)(219, 459, 233, 473)(220, 460, 226, 466)(221, 461, 231, 471)(222, 462, 227, 467)(223, 463, 232, 472)(224, 464, 230, 470)(235, 475, 239, 479)(236, 476, 237, 477)(238, 478, 240, 480)(481, 721, 483, 723, 488, 728, 484, 724)(482, 722, 485, 725, 491, 731, 486, 726)(487, 727, 493, 733, 504, 744, 494, 734)(489, 729, 496, 736, 509, 749, 497, 737)(490, 730, 498, 738, 512, 752, 499, 739)(492, 732, 501, 741, 515, 755, 502, 742)(495, 735, 506, 746, 500, 740, 507, 747)(503, 743, 517, 757, 536, 776, 518, 758)(505, 745, 519, 759, 539, 779, 520, 760)(508, 748, 523, 763, 546, 786, 524, 764)(510, 750, 525, 765, 549, 789, 526, 766)(511, 751, 527, 767, 552, 792, 528, 768)(513, 753, 529, 769, 555, 795, 530, 770)(514, 754, 531, 771, 558, 798, 532, 772)(516, 756, 533, 773, 561, 801, 534, 774)(521, 761, 541, 781, 572, 812, 542, 782)(522, 762, 543, 783, 575, 815, 544, 784)(535, 775, 563, 803, 602, 842, 564, 804)(537, 777, 565, 805, 605, 845, 566, 806)(538, 778, 567, 807, 607, 847, 568, 808)(540, 780, 569, 809, 609, 849, 570, 810)(545, 785, 577, 817, 620, 860, 578, 818)(547, 787, 579, 819, 622, 862, 580, 820)(548, 788, 581, 821, 624, 864, 582, 822)(550, 790, 583, 823, 627, 867, 584, 824)(551, 791, 585, 825, 630, 870, 586, 826)(553, 793, 587, 827, 633, 873, 588, 828)(554, 794, 589, 829, 635, 875, 590, 830)(556, 796, 591, 831, 637, 877, 592, 832)(557, 797, 593, 833, 640, 880, 594, 834)(559, 799, 595, 835, 642, 882, 596, 836)(560, 800, 597, 837, 644, 884, 598, 838)(562, 802, 599, 839, 647, 887, 600, 840)(571, 811, 611, 851, 662, 902, 612, 852)(573, 813, 613, 853, 665, 905, 614, 854)(574, 814, 615, 855, 667, 907, 616, 856)(576, 816, 617, 857, 669, 909, 618, 858)(601, 841, 649, 889, 694, 934, 650, 890)(603, 843, 651, 891, 695, 935, 652, 892)(604, 844, 653, 893, 632, 872, 654, 894)(606, 846, 655, 895, 696, 936, 656, 896)(608, 848, 657, 897, 697, 937, 658, 898)(610, 850, 659, 899, 639, 879, 660, 900)(619, 859, 671, 911, 638, 878, 672, 912)(621, 861, 673, 913, 706, 946, 674, 914)(623, 863, 663, 903, 700, 940, 675, 915)(625, 865, 676, 916, 645, 885, 677, 917)(626, 866, 666, 906, 702, 942, 678, 918)(628, 868, 679, 919, 707, 947, 680, 920)(629, 869, 681, 921, 710, 950, 682, 922)(631, 871, 683, 923, 704, 944, 670, 910)(634, 874, 684, 924, 701, 941, 664, 904)(636, 876, 685, 925, 711, 951, 686, 926)(641, 881, 687, 927, 712, 952, 688, 928)(643, 883, 668, 908, 703, 943, 689, 929)(646, 886, 661, 901, 699, 939, 690, 930)(648, 888, 691, 931, 713, 953, 692, 932)(693, 933, 715, 955, 708, 948, 716, 956)(698, 938, 717, 957, 705, 945, 718, 958)(709, 949, 719, 959, 714, 954, 720, 960)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 490)(6, 492)(7, 483)(8, 495)(9, 484)(10, 485)(11, 500)(12, 486)(13, 503)(14, 505)(15, 488)(16, 508)(17, 510)(18, 511)(19, 513)(20, 491)(21, 514)(22, 516)(23, 493)(24, 509)(25, 494)(26, 521)(27, 522)(28, 496)(29, 504)(30, 497)(31, 498)(32, 515)(33, 499)(34, 501)(35, 512)(36, 502)(37, 535)(38, 537)(39, 538)(40, 540)(41, 506)(42, 507)(43, 545)(44, 547)(45, 548)(46, 550)(47, 551)(48, 553)(49, 554)(50, 556)(51, 557)(52, 559)(53, 560)(54, 562)(55, 517)(56, 539)(57, 518)(58, 519)(59, 536)(60, 520)(61, 571)(62, 573)(63, 574)(64, 576)(65, 523)(66, 549)(67, 524)(68, 525)(69, 546)(70, 526)(71, 527)(72, 555)(73, 528)(74, 529)(75, 552)(76, 530)(77, 531)(78, 561)(79, 532)(80, 533)(81, 558)(82, 534)(83, 601)(84, 603)(85, 604)(86, 588)(87, 606)(88, 608)(89, 594)(90, 610)(91, 541)(92, 575)(93, 542)(94, 543)(95, 572)(96, 544)(97, 619)(98, 591)(99, 621)(100, 623)(101, 597)(102, 625)(103, 626)(104, 628)(105, 629)(106, 631)(107, 632)(108, 566)(109, 634)(110, 636)(111, 578)(112, 638)(113, 639)(114, 569)(115, 641)(116, 643)(117, 581)(118, 645)(119, 646)(120, 648)(121, 563)(122, 605)(123, 564)(124, 565)(125, 602)(126, 567)(127, 609)(128, 568)(129, 607)(130, 570)(131, 661)(132, 663)(133, 664)(134, 652)(135, 666)(136, 668)(137, 656)(138, 670)(139, 577)(140, 622)(141, 579)(142, 620)(143, 580)(144, 627)(145, 582)(146, 583)(147, 624)(148, 584)(149, 585)(150, 633)(151, 586)(152, 587)(153, 630)(154, 589)(155, 637)(156, 590)(157, 635)(158, 592)(159, 593)(160, 642)(161, 595)(162, 640)(163, 596)(164, 647)(165, 598)(166, 599)(167, 644)(168, 600)(169, 693)(170, 679)(171, 684)(172, 614)(173, 673)(174, 687)(175, 683)(176, 617)(177, 685)(178, 677)(179, 672)(180, 698)(181, 611)(182, 665)(183, 612)(184, 613)(185, 662)(186, 615)(187, 669)(188, 616)(189, 667)(190, 618)(191, 705)(192, 659)(193, 653)(194, 688)(195, 690)(196, 686)(197, 658)(198, 689)(199, 650)(200, 708)(201, 709)(202, 691)(203, 655)(204, 651)(205, 657)(206, 676)(207, 654)(208, 674)(209, 678)(210, 675)(211, 682)(212, 714)(213, 649)(214, 695)(215, 694)(216, 697)(217, 696)(218, 660)(219, 713)(220, 706)(221, 711)(222, 707)(223, 712)(224, 710)(225, 671)(226, 700)(227, 702)(228, 680)(229, 681)(230, 704)(231, 701)(232, 703)(233, 699)(234, 692)(235, 719)(236, 717)(237, 716)(238, 720)(239, 715)(240, 718)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3118
Graph:: bipartite
	v = 180 e = 480 f = 260
	degree seq :: [ 4^120, 8^60 ]

E21.3113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y2^-1 * Y1)^5, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 10, 250)(6, 246, 12, 252)(8, 248, 15, 255)(11, 251, 20, 260)(13, 253, 23, 263)(14, 254, 25, 265)(16, 256, 28, 268)(17, 257, 30, 270)(18, 258, 31, 271)(19, 259, 33, 273)(21, 261, 36, 276)(22, 262, 38, 278)(24, 264, 41, 281)(26, 266, 44, 284)(27, 267, 46, 286)(29, 269, 49, 289)(32, 272, 54, 294)(34, 274, 57, 297)(35, 275, 59, 299)(37, 277, 62, 302)(39, 279, 65, 305)(40, 280, 67, 307)(42, 282, 70, 310)(43, 283, 72, 312)(45, 285, 75, 315)(47, 287, 78, 318)(48, 288, 80, 320)(50, 290, 83, 323)(51, 291, 85, 325)(52, 292, 86, 326)(53, 293, 88, 328)(55, 295, 91, 331)(56, 296, 93, 333)(58, 298, 96, 336)(60, 300, 99, 339)(61, 301, 101, 341)(63, 303, 104, 344)(64, 304, 106, 346)(66, 306, 109, 349)(68, 308, 112, 352)(69, 309, 114, 354)(71, 311, 117, 357)(73, 313, 120, 360)(74, 314, 122, 362)(76, 316, 125, 365)(77, 317, 127, 367)(79, 319, 130, 370)(81, 321, 133, 373)(82, 322, 135, 375)(84, 324, 138, 378)(87, 327, 141, 381)(89, 329, 107, 347)(90, 330, 143, 383)(92, 332, 139, 379)(94, 334, 147, 387)(95, 335, 128, 368)(97, 337, 119, 359)(98, 338, 152, 392)(100, 340, 108, 348)(102, 342, 156, 396)(103, 343, 140, 380)(105, 345, 158, 398)(110, 350, 162, 402)(111, 351, 136, 376)(113, 353, 149, 389)(115, 355, 132, 372)(116, 356, 167, 407)(118, 358, 153, 393)(121, 361, 148, 388)(123, 363, 142, 382)(124, 364, 157, 397)(126, 366, 151, 391)(129, 369, 146, 386)(131, 371, 178, 418)(134, 374, 150, 390)(137, 377, 180, 420)(144, 384, 155, 395)(145, 385, 187, 427)(154, 394, 193, 433)(159, 399, 195, 435)(160, 400, 170, 410)(161, 401, 196, 436)(163, 403, 199, 439)(164, 404, 176, 416)(165, 405, 200, 440)(166, 406, 171, 411)(168, 408, 203, 443)(169, 409, 204, 444)(172, 412, 206, 446)(173, 413, 190, 430)(174, 414, 207, 447)(175, 415, 179, 419)(177, 417, 209, 449)(181, 421, 214, 454)(182, 422, 188, 428)(183, 423, 215, 455)(184, 424, 192, 432)(185, 425, 216, 456)(186, 426, 189, 429)(191, 431, 194, 434)(197, 437, 202, 442)(198, 438, 221, 461)(201, 441, 217, 457)(205, 445, 220, 460)(208, 448, 219, 459)(210, 450, 213, 453)(211, 451, 222, 462)(212, 452, 218, 458)(223, 463, 228, 468)(224, 464, 238, 478)(225, 465, 231, 471)(226, 466, 237, 477)(227, 467, 229, 469)(230, 470, 232, 472)(233, 473, 236, 476)(234, 474, 239, 479)(235, 475, 240, 480)(481, 721, 483, 723, 488, 728, 484, 724)(482, 722, 485, 725, 491, 731, 486, 726)(487, 727, 493, 733, 504, 744, 494, 734)(489, 729, 496, 736, 509, 749, 497, 737)(490, 730, 498, 738, 512, 752, 499, 739)(492, 732, 501, 741, 517, 757, 502, 742)(495, 735, 506, 746, 525, 765, 507, 747)(500, 740, 514, 754, 538, 778, 515, 755)(503, 743, 519, 759, 546, 786, 520, 760)(505, 745, 522, 762, 551, 791, 523, 763)(508, 748, 527, 767, 559, 799, 528, 768)(510, 750, 530, 770, 564, 804, 531, 771)(511, 751, 532, 772, 567, 807, 533, 773)(513, 753, 535, 775, 572, 812, 536, 776)(516, 756, 540, 780, 580, 820, 541, 781)(518, 758, 543, 783, 585, 825, 544, 784)(521, 761, 548, 788, 593, 833, 549, 789)(524, 764, 553, 793, 601, 841, 554, 794)(526, 766, 556, 796, 606, 846, 557, 797)(529, 769, 561, 801, 614, 854, 562, 802)(534, 774, 569, 809, 622, 862, 570, 810)(537, 777, 574, 814, 628, 868, 575, 815)(539, 779, 577, 817, 631, 871, 578, 818)(542, 782, 582, 822, 637, 877, 583, 823)(545, 785, 587, 827, 639, 879, 588, 828)(547, 787, 590, 830, 584, 824, 591, 831)(550, 790, 595, 835, 646, 886, 596, 836)(552, 792, 598, 838, 649, 889, 599, 839)(555, 795, 603, 843, 653, 893, 604, 844)(558, 798, 608, 848, 657, 897, 609, 849)(560, 800, 611, 851, 659, 899, 612, 852)(563, 803, 616, 856, 568, 808, 617, 857)(565, 805, 619, 859, 661, 901, 620, 860)(566, 806, 592, 832, 643, 883, 610, 850)(571, 811, 624, 864, 666, 906, 625, 865)(573, 813, 626, 866, 654, 894, 605, 845)(576, 816, 629, 869, 670, 910, 630, 870)(579, 819, 602, 842, 652, 892, 633, 873)(581, 821, 634, 874, 674, 914, 635, 875)(586, 826, 597, 837, 648, 888, 615, 855)(589, 829, 640, 880, 613, 853, 641, 881)(594, 834, 644, 884, 618, 858, 645, 885)(600, 840, 650, 890, 685, 925, 651, 891)(607, 847, 655, 895, 688, 928, 656, 896)(621, 861, 662, 902, 636, 876, 663, 903)(623, 863, 664, 904, 638, 878, 665, 905)(627, 867, 668, 908, 699, 939, 669, 909)(632, 872, 671, 911, 700, 940, 672, 912)(642, 882, 677, 917, 707, 947, 678, 918)(647, 887, 681, 921, 712, 952, 682, 922)(658, 898, 690, 930, 717, 957, 691, 931)(660, 900, 692, 932, 718, 958, 693, 933)(667, 907, 697, 937, 719, 959, 698, 938)(673, 913, 701, 941, 720, 960, 702, 942)(675, 915, 703, 943, 683, 923, 704, 944)(676, 916, 705, 945, 684, 924, 706, 946)(679, 919, 708, 948, 694, 934, 709, 949)(680, 920, 710, 950, 689, 929, 711, 951)(686, 926, 713, 953, 696, 936, 714, 954)(687, 927, 715, 955, 695, 935, 716, 956)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 490)(6, 492)(7, 483)(8, 495)(9, 484)(10, 485)(11, 500)(12, 486)(13, 503)(14, 505)(15, 488)(16, 508)(17, 510)(18, 511)(19, 513)(20, 491)(21, 516)(22, 518)(23, 493)(24, 521)(25, 494)(26, 524)(27, 526)(28, 496)(29, 529)(30, 497)(31, 498)(32, 534)(33, 499)(34, 537)(35, 539)(36, 501)(37, 542)(38, 502)(39, 545)(40, 547)(41, 504)(42, 550)(43, 552)(44, 506)(45, 555)(46, 507)(47, 558)(48, 560)(49, 509)(50, 563)(51, 565)(52, 566)(53, 568)(54, 512)(55, 571)(56, 573)(57, 514)(58, 576)(59, 515)(60, 579)(61, 581)(62, 517)(63, 584)(64, 586)(65, 519)(66, 589)(67, 520)(68, 592)(69, 594)(70, 522)(71, 597)(72, 523)(73, 600)(74, 602)(75, 525)(76, 605)(77, 607)(78, 527)(79, 610)(80, 528)(81, 613)(82, 615)(83, 530)(84, 618)(85, 531)(86, 532)(87, 621)(88, 533)(89, 587)(90, 623)(91, 535)(92, 619)(93, 536)(94, 627)(95, 608)(96, 538)(97, 599)(98, 632)(99, 540)(100, 588)(101, 541)(102, 636)(103, 620)(104, 543)(105, 638)(106, 544)(107, 569)(108, 580)(109, 546)(110, 642)(111, 616)(112, 548)(113, 629)(114, 549)(115, 612)(116, 647)(117, 551)(118, 633)(119, 577)(120, 553)(121, 628)(122, 554)(123, 622)(124, 637)(125, 556)(126, 631)(127, 557)(128, 575)(129, 626)(130, 559)(131, 658)(132, 595)(133, 561)(134, 630)(135, 562)(136, 591)(137, 660)(138, 564)(139, 572)(140, 583)(141, 567)(142, 603)(143, 570)(144, 635)(145, 667)(146, 609)(147, 574)(148, 601)(149, 593)(150, 614)(151, 606)(152, 578)(153, 598)(154, 673)(155, 624)(156, 582)(157, 604)(158, 585)(159, 675)(160, 650)(161, 676)(162, 590)(163, 679)(164, 656)(165, 680)(166, 651)(167, 596)(168, 683)(169, 684)(170, 640)(171, 646)(172, 686)(173, 670)(174, 687)(175, 659)(176, 644)(177, 689)(178, 611)(179, 655)(180, 617)(181, 694)(182, 668)(183, 695)(184, 672)(185, 696)(186, 669)(187, 625)(188, 662)(189, 666)(190, 653)(191, 674)(192, 664)(193, 634)(194, 671)(195, 639)(196, 641)(197, 682)(198, 701)(199, 643)(200, 645)(201, 697)(202, 677)(203, 648)(204, 649)(205, 700)(206, 652)(207, 654)(208, 699)(209, 657)(210, 693)(211, 702)(212, 698)(213, 690)(214, 661)(215, 663)(216, 665)(217, 681)(218, 692)(219, 688)(220, 685)(221, 678)(222, 691)(223, 708)(224, 718)(225, 711)(226, 717)(227, 709)(228, 703)(229, 707)(230, 712)(231, 705)(232, 710)(233, 716)(234, 719)(235, 720)(236, 713)(237, 706)(238, 704)(239, 714)(240, 715)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3119
Graph:: bipartite
	v = 180 e = 480 f = 260
	degree seq :: [ 4^120, 8^60 ]

E21.3114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^4 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1 * Y2^-2)^3, Y2^12 ]
Map::
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 34, 274, 15, 255)(10, 250, 23, 263, 49, 289, 25, 265)(12, 252, 16, 256, 35, 275, 28, 268)(14, 254, 31, 271, 62, 302, 29, 269)(17, 257, 37, 277, 77, 317, 39, 279)(20, 260, 43, 283, 86, 326, 41, 281)(22, 262, 47, 287, 94, 334, 45, 285)(24, 264, 51, 291, 104, 344, 53, 293)(26, 266, 46, 286, 95, 335, 56, 296)(27, 267, 57, 297, 114, 354, 59, 299)(30, 270, 63, 303, 84, 324, 40, 280)(32, 272, 67, 307, 123, 363, 65, 305)(33, 273, 69, 309, 125, 365, 71, 311)(36, 276, 75, 315, 134, 374, 73, 313)(38, 278, 79, 319, 144, 384, 81, 321)(42, 282, 87, 327, 132, 372, 72, 312)(44, 284, 91, 331, 155, 395, 89, 329)(48, 288, 99, 339, 161, 401, 97, 337)(50, 290, 103, 343, 164, 404, 101, 341)(52, 292, 82, 322, 142, 382, 107, 347)(54, 294, 102, 342, 131, 371, 110, 350)(55, 295, 80, 320, 130, 370, 112, 352)(58, 298, 116, 356, 170, 410, 109, 349)(60, 300, 74, 314, 135, 375, 106, 346)(61, 301, 118, 358, 166, 406, 105, 345)(64, 304, 121, 361, 138, 378, 100, 340)(66, 306, 92, 332, 136, 376, 119, 359)(68, 308, 88, 328, 153, 393, 98, 338)(70, 310, 127, 367, 179, 419, 129, 369)(76, 316, 139, 379, 185, 425, 137, 377)(78, 318, 143, 383, 188, 428, 141, 381)(83, 323, 128, 368, 117, 357, 148, 388)(85, 325, 150, 390, 190, 430, 145, 385)(90, 330, 140, 380, 96, 336, 151, 391)(93, 333, 157, 397, 197, 437, 158, 398)(108, 348, 167, 407, 195, 435, 154, 394)(111, 351, 171, 411, 196, 436, 156, 396)(113, 353, 149, 389, 120, 360, 152, 392)(115, 355, 160, 400, 199, 439, 172, 412)(122, 362, 169, 409, 206, 446, 175, 415)(124, 364, 168, 408, 189, 429, 176, 416)(126, 366, 178, 418, 212, 452, 177, 417)(133, 373, 183, 423, 213, 453, 180, 420)(146, 386, 191, 431, 174, 414, 184, 424)(147, 387, 192, 432, 216, 456, 186, 426)(159, 399, 181, 421, 214, 454, 194, 434)(162, 402, 182, 422, 165, 405, 200, 440)(163, 403, 201, 441, 224, 464, 202, 442)(173, 413, 208, 448, 229, 469, 204, 444)(187, 427, 217, 457, 234, 474, 218, 458)(193, 433, 222, 462, 205, 445, 220, 460)(198, 438, 223, 463, 233, 473, 225, 465)(203, 443, 211, 451, 231, 471, 227, 467)(207, 447, 226, 466, 210, 450, 219, 459)(209, 449, 221, 461, 232, 472, 215, 455)(228, 468, 238, 478, 239, 479, 236, 476)(230, 470, 237, 477, 240, 480, 235, 475)(481, 721, 483, 723, 490, 730, 504, 744, 532, 772, 586, 826, 632, 872, 567, 807, 548, 788, 512, 752, 494, 734, 485, 725)(482, 722, 487, 727, 497, 737, 518, 758, 560, 800, 536, 776, 593, 833, 615, 855, 572, 812, 524, 764, 500, 740, 488, 728)(484, 724, 492, 732, 507, 747, 538, 778, 590, 830, 612, 852, 600, 840, 543, 783, 580, 820, 528, 768, 502, 742, 489, 729)(486, 726, 495, 735, 513, 753, 550, 790, 608, 848, 564, 804, 629, 869, 575, 815, 620, 860, 556, 796, 516, 756, 496, 736)(491, 731, 506, 746, 535, 775, 591, 831, 634, 874, 568, 808, 522, 762, 499, 739, 521, 761, 565, 805, 530, 770, 503, 743)(493, 733, 509, 749, 541, 781, 595, 835, 537, 777, 508, 748, 540, 780, 587, 827, 648, 888, 602, 842, 544, 784, 510, 750)(498, 738, 520, 760, 563, 803, 627, 867, 664, 904, 616, 856, 554, 794, 515, 755, 553, 793, 613, 853, 558, 798, 517, 757)(501, 741, 525, 765, 573, 813, 606, 846, 549, 789, 514, 754, 552, 792, 611, 851, 662, 902, 639, 879, 576, 816, 526, 766)(505, 745, 534, 774, 589, 829, 649, 889, 604, 844, 547, 787, 578, 818, 527, 767, 577, 817, 640, 880, 585, 825, 531, 771)(511, 751, 545, 785, 583, 823, 625, 865, 559, 799, 519, 759, 562, 802, 533, 773, 588, 828, 636, 876, 571, 811, 546, 786)(523, 763, 569, 809, 623, 863, 660, 900, 607, 847, 551, 791, 610, 850, 561, 801, 626, 866, 666, 906, 619, 859, 570, 810)(529, 769, 581, 821, 643, 883, 678, 918, 637, 877, 574, 814, 633, 873, 675, 915, 702, 942, 683, 923, 645, 885, 582, 822)(539, 779, 597, 837, 609, 849, 661, 901, 642, 882, 579, 819, 618, 858, 555, 795, 617, 857, 658, 898, 638, 878, 596, 836)(542, 782, 599, 839, 654, 894, 689, 929, 699, 939, 669, 909, 622, 862, 557, 797, 621, 861, 667, 907, 653, 893, 598, 838)(566, 806, 631, 871, 674, 914, 703, 943, 682, 922, 651, 891, 592, 832, 605, 845, 657, 897, 691, 931, 673, 913, 630, 870)(584, 824, 646, 886, 684, 924, 708, 948, 681, 921, 644, 884, 603, 843, 656, 896, 690, 930, 710, 950, 685, 925, 647, 887)(594, 834, 652, 892, 687, 927, 695, 935, 663, 903, 614, 854, 601, 841, 655, 895, 688, 928, 698, 938, 672, 912, 628, 868)(624, 864, 670, 910, 700, 940, 715, 955, 697, 937, 668, 908, 635, 875, 676, 916, 704, 944, 716, 956, 701, 941, 671, 911)(641, 881, 680, 920, 707, 947, 718, 958, 709, 949, 686, 926, 650, 890, 677, 917, 705, 945, 717, 957, 706, 946, 679, 919)(659, 899, 693, 933, 712, 952, 719, 959, 711, 951, 692, 932, 665, 905, 696, 936, 714, 954, 720, 960, 713, 953, 694, 934)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 506)(12, 507)(13, 509)(14, 485)(15, 513)(16, 486)(17, 518)(18, 520)(19, 521)(20, 488)(21, 525)(22, 489)(23, 491)(24, 532)(25, 534)(26, 535)(27, 538)(28, 540)(29, 541)(30, 493)(31, 545)(32, 494)(33, 550)(34, 552)(35, 553)(36, 496)(37, 498)(38, 560)(39, 562)(40, 563)(41, 565)(42, 499)(43, 569)(44, 500)(45, 573)(46, 501)(47, 577)(48, 502)(49, 581)(50, 503)(51, 505)(52, 586)(53, 588)(54, 589)(55, 591)(56, 593)(57, 508)(58, 590)(59, 597)(60, 587)(61, 595)(62, 599)(63, 580)(64, 510)(65, 583)(66, 511)(67, 578)(68, 512)(69, 514)(70, 608)(71, 610)(72, 611)(73, 613)(74, 515)(75, 617)(76, 516)(77, 621)(78, 517)(79, 519)(80, 536)(81, 626)(82, 533)(83, 627)(84, 629)(85, 530)(86, 631)(87, 548)(88, 522)(89, 623)(90, 523)(91, 546)(92, 524)(93, 606)(94, 633)(95, 620)(96, 526)(97, 640)(98, 527)(99, 618)(100, 528)(101, 643)(102, 529)(103, 625)(104, 646)(105, 531)(106, 632)(107, 648)(108, 636)(109, 649)(110, 612)(111, 634)(112, 605)(113, 615)(114, 652)(115, 537)(116, 539)(117, 609)(118, 542)(119, 654)(120, 543)(121, 655)(122, 544)(123, 656)(124, 547)(125, 657)(126, 549)(127, 551)(128, 564)(129, 661)(130, 561)(131, 662)(132, 600)(133, 558)(134, 601)(135, 572)(136, 554)(137, 658)(138, 555)(139, 570)(140, 556)(141, 667)(142, 557)(143, 660)(144, 670)(145, 559)(146, 666)(147, 664)(148, 594)(149, 575)(150, 566)(151, 674)(152, 567)(153, 675)(154, 568)(155, 676)(156, 571)(157, 574)(158, 596)(159, 576)(160, 585)(161, 680)(162, 579)(163, 678)(164, 603)(165, 582)(166, 684)(167, 584)(168, 602)(169, 604)(170, 677)(171, 592)(172, 687)(173, 598)(174, 689)(175, 688)(176, 690)(177, 691)(178, 638)(179, 693)(180, 607)(181, 642)(182, 639)(183, 614)(184, 616)(185, 696)(186, 619)(187, 653)(188, 635)(189, 622)(190, 700)(191, 624)(192, 628)(193, 630)(194, 703)(195, 702)(196, 704)(197, 705)(198, 637)(199, 641)(200, 707)(201, 644)(202, 651)(203, 645)(204, 708)(205, 647)(206, 650)(207, 695)(208, 698)(209, 699)(210, 710)(211, 673)(212, 665)(213, 712)(214, 659)(215, 663)(216, 714)(217, 668)(218, 672)(219, 669)(220, 715)(221, 671)(222, 683)(223, 682)(224, 716)(225, 717)(226, 679)(227, 718)(228, 681)(229, 686)(230, 685)(231, 692)(232, 719)(233, 694)(234, 720)(235, 697)(236, 701)(237, 706)(238, 709)(239, 711)(240, 713)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3117
Graph:: bipartite
	v = 80 e = 480 f = 360
	degree seq :: [ 8^60, 24^20 ]

E21.3115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y2^-1)^3, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2 * Y1^-1, Y2^12, Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-4 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 32, 272, 15, 255)(10, 250, 23, 263, 44, 284, 25, 265)(12, 252, 16, 256, 33, 273, 27, 267)(14, 254, 29, 269, 53, 293, 28, 268)(17, 257, 35, 275, 63, 303, 37, 277)(20, 260, 39, 279, 69, 309, 38, 278)(22, 262, 42, 282, 74, 314, 41, 281)(24, 264, 46, 286, 81, 321, 48, 288)(26, 266, 49, 289, 86, 326, 51, 291)(30, 270, 55, 295, 95, 335, 54, 294)(31, 271, 57, 297, 99, 339, 59, 299)(34, 274, 61, 301, 105, 345, 60, 300)(36, 276, 65, 305, 112, 352, 67, 307)(40, 280, 71, 311, 121, 361, 70, 310)(43, 283, 76, 316, 129, 369, 75, 315)(45, 285, 79, 319, 134, 374, 78, 318)(47, 287, 83, 323, 139, 379, 85, 325)(50, 290, 88, 328, 143, 383, 90, 330)(52, 292, 91, 331, 148, 388, 93, 333)(56, 296, 97, 337, 152, 392, 96, 336)(58, 298, 101, 341, 157, 397, 103, 343)(62, 302, 107, 347, 166, 406, 106, 346)(64, 304, 110, 350, 171, 411, 109, 349)(66, 306, 114, 354, 174, 414, 116, 356)(68, 308, 117, 357, 177, 417, 119, 359)(72, 312, 123, 363, 181, 421, 122, 362)(73, 313, 125, 365, 183, 423, 127, 367)(77, 317, 131, 371, 187, 427, 130, 370)(80, 320, 135, 375, 173, 413, 113, 353)(82, 322, 137, 377, 194, 434, 136, 376)(84, 324, 140, 380, 182, 422, 124, 364)(87, 327, 138, 378, 195, 435, 142, 382)(89, 329, 145, 385, 198, 438, 147, 387)(92, 332, 128, 368, 186, 426, 150, 390)(94, 334, 151, 391, 179, 419, 118, 358)(98, 338, 146, 386, 199, 439, 153, 393)(100, 340, 155, 395, 205, 445, 154, 394)(102, 342, 159, 399, 208, 448, 161, 401)(104, 344, 162, 402, 211, 451, 164, 404)(108, 348, 168, 408, 215, 455, 167, 407)(111, 351, 172, 412, 207, 447, 158, 398)(115, 355, 175, 415, 216, 456, 169, 409)(120, 360, 180, 420, 213, 453, 163, 403)(126, 366, 165, 405, 214, 454, 185, 425)(132, 372, 160, 400, 209, 449, 188, 428)(133, 373, 190, 430, 220, 460, 192, 432)(141, 381, 176, 416, 210, 450, 189, 429)(144, 384, 156, 396, 206, 446, 197, 437)(149, 389, 201, 441, 226, 466, 200, 440)(170, 410, 217, 457, 232, 472, 219, 459)(178, 418, 222, 462, 203, 443, 221, 461)(184, 424, 223, 463, 234, 474, 225, 465)(191, 431, 204, 444, 231, 471, 228, 468)(193, 433, 218, 458, 196, 436, 230, 470)(202, 442, 224, 464, 233, 473, 212, 452)(227, 467, 238, 478, 239, 479, 236, 476)(229, 469, 237, 477, 240, 480, 235, 475)(481, 721, 483, 723, 490, 730, 504, 744, 527, 767, 564, 804, 621, 861, 578, 818, 536, 776, 510, 750, 494, 734, 485, 725)(482, 722, 487, 727, 497, 737, 516, 756, 546, 786, 595, 835, 656, 896, 604, 844, 552, 792, 520, 760, 500, 740, 488, 728)(484, 724, 492, 732, 506, 746, 530, 770, 569, 809, 626, 866, 669, 909, 612, 852, 557, 797, 523, 763, 502, 742, 489, 729)(486, 726, 495, 735, 511, 751, 538, 778, 582, 822, 640, 880, 690, 930, 649, 889, 588, 828, 542, 782, 514, 754, 496, 736)(491, 731, 499, 739, 518, 758, 548, 788, 598, 838, 577, 817, 633, 873, 655, 895, 596, 836, 560, 800, 525, 765, 503, 743)(493, 733, 508, 748, 532, 772, 572, 812, 611, 851, 668, 908, 620, 860, 565, 805, 617, 857, 567, 807, 529, 769, 507, 747)(498, 738, 513, 753, 540, 780, 584, 824, 643, 883, 603, 843, 662, 902, 689, 929, 641, 881, 591, 831, 544, 784, 515, 755)(501, 741, 521, 761, 553, 793, 606, 846, 648, 888, 696, 936, 679, 919, 627, 867, 636, 876, 580, 820, 537, 777, 512, 752)(505, 745, 522, 762, 555, 795, 608, 848, 573, 813, 535, 775, 576, 816, 625, 865, 570, 810, 618, 858, 562, 802, 526, 766)(509, 749, 534, 774, 574, 814, 599, 839, 551, 791, 602, 842, 563, 803, 528, 768, 559, 799, 593, 833, 545, 785, 517, 757)(519, 759, 550, 790, 600, 840, 644, 884, 587, 827, 647, 887, 594, 834, 547, 787, 590, 830, 638, 878, 581, 821, 539, 779)(524, 764, 558, 798, 613, 853, 671, 911, 686, 926, 678, 918, 632, 872, 659, 899, 702, 942, 664, 904, 605, 845, 554, 794)(531, 771, 541, 781, 586, 826, 645, 885, 607, 847, 556, 796, 610, 850, 639, 879, 583, 823, 635, 875, 624, 864, 568, 808)(533, 773, 543, 783, 589, 829, 650, 890, 698, 938, 674, 914, 619, 859, 661, 901, 693, 933, 682, 922, 629, 869, 571, 811)(549, 789, 579, 819, 634, 874, 684, 924, 672, 912, 615, 855, 654, 894, 695, 935, 665, 905, 703, 943, 658, 898, 597, 837)(561, 801, 616, 856, 673, 913, 709, 949, 683, 923, 631, 871, 575, 815, 628, 868, 680, 920, 707, 947, 670, 910, 614, 854)(566, 806, 622, 862, 676, 916, 699, 939, 652, 892, 688, 928, 667, 907, 630, 870, 681, 921, 692, 932, 642, 882, 585, 825)(592, 832, 653, 893, 700, 940, 716, 956, 704, 944, 660, 900, 601, 841, 657, 897, 701, 941, 715, 955, 697, 937, 651, 891)(609, 849, 663, 903, 705, 945, 717, 957, 710, 950, 675, 915, 623, 863, 677, 917, 708, 948, 718, 958, 706, 946, 666, 906)(637, 877, 687, 927, 712, 952, 720, 960, 714, 954, 694, 934, 646, 886, 691, 931, 713, 953, 719, 959, 711, 951, 685, 925)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 499)(12, 506)(13, 508)(14, 485)(15, 511)(16, 486)(17, 516)(18, 513)(19, 518)(20, 488)(21, 521)(22, 489)(23, 491)(24, 527)(25, 522)(26, 530)(27, 493)(28, 532)(29, 534)(30, 494)(31, 538)(32, 501)(33, 540)(34, 496)(35, 498)(36, 546)(37, 509)(38, 548)(39, 550)(40, 500)(41, 553)(42, 555)(43, 502)(44, 558)(45, 503)(46, 505)(47, 564)(48, 559)(49, 507)(50, 569)(51, 541)(52, 572)(53, 543)(54, 574)(55, 576)(56, 510)(57, 512)(58, 582)(59, 519)(60, 584)(61, 586)(62, 514)(63, 589)(64, 515)(65, 517)(66, 595)(67, 590)(68, 598)(69, 579)(70, 600)(71, 602)(72, 520)(73, 606)(74, 524)(75, 608)(76, 610)(77, 523)(78, 613)(79, 593)(80, 525)(81, 616)(82, 526)(83, 528)(84, 621)(85, 617)(86, 622)(87, 529)(88, 531)(89, 626)(90, 618)(91, 533)(92, 611)(93, 535)(94, 599)(95, 628)(96, 625)(97, 633)(98, 536)(99, 634)(100, 537)(101, 539)(102, 640)(103, 635)(104, 643)(105, 566)(106, 645)(107, 647)(108, 542)(109, 650)(110, 638)(111, 544)(112, 653)(113, 545)(114, 547)(115, 656)(116, 560)(117, 549)(118, 577)(119, 551)(120, 644)(121, 657)(122, 563)(123, 662)(124, 552)(125, 554)(126, 648)(127, 556)(128, 573)(129, 663)(130, 639)(131, 668)(132, 557)(133, 671)(134, 561)(135, 654)(136, 673)(137, 567)(138, 562)(139, 661)(140, 565)(141, 578)(142, 676)(143, 677)(144, 568)(145, 570)(146, 669)(147, 636)(148, 680)(149, 571)(150, 681)(151, 575)(152, 659)(153, 655)(154, 684)(155, 624)(156, 580)(157, 687)(158, 581)(159, 583)(160, 690)(161, 591)(162, 585)(163, 603)(164, 587)(165, 607)(166, 691)(167, 594)(168, 696)(169, 588)(170, 698)(171, 592)(172, 688)(173, 700)(174, 695)(175, 596)(176, 604)(177, 701)(178, 597)(179, 702)(180, 601)(181, 693)(182, 689)(183, 705)(184, 605)(185, 703)(186, 609)(187, 630)(188, 620)(189, 612)(190, 614)(191, 686)(192, 615)(193, 709)(194, 619)(195, 623)(196, 699)(197, 708)(198, 632)(199, 627)(200, 707)(201, 692)(202, 629)(203, 631)(204, 672)(205, 637)(206, 678)(207, 712)(208, 667)(209, 641)(210, 649)(211, 713)(212, 642)(213, 682)(214, 646)(215, 665)(216, 679)(217, 651)(218, 674)(219, 652)(220, 716)(221, 715)(222, 664)(223, 658)(224, 660)(225, 717)(226, 666)(227, 670)(228, 718)(229, 683)(230, 675)(231, 685)(232, 720)(233, 719)(234, 694)(235, 697)(236, 704)(237, 710)(238, 706)(239, 711)(240, 714)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3116
Graph:: bipartite
	v = 80 e = 480 f = 360
	degree seq :: [ 8^60, 24^20 ]

E21.3116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y2 * Y3^2)^3, (Y2 * Y3^-2 * Y2 * Y3^2)^2, Y3^-1 * Y2 * Y3^6 * Y2 * Y3^-5, Y3 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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)(481, 721, 482, 722)(483, 723, 487, 727)(484, 724, 489, 729)(485, 725, 491, 731)(486, 726, 493, 733)(488, 728, 497, 737)(490, 730, 501, 741)(492, 732, 505, 745)(494, 734, 509, 749)(495, 735, 508, 748)(496, 736, 512, 752)(498, 738, 516, 756)(499, 739, 518, 758)(500, 740, 503, 743)(502, 742, 523, 763)(504, 744, 526, 766)(506, 746, 529, 769)(507, 747, 531, 771)(510, 750, 535, 775)(511, 751, 520, 760)(513, 753, 540, 780)(514, 754, 539, 779)(515, 755, 542, 782)(517, 757, 546, 786)(519, 759, 550, 790)(521, 761, 553, 793)(522, 762, 548, 788)(524, 764, 557, 797)(525, 765, 533, 773)(527, 767, 561, 801)(528, 768, 563, 803)(530, 770, 567, 807)(532, 772, 570, 810)(534, 774, 573, 813)(536, 776, 577, 817)(537, 777, 579, 819)(538, 778, 581, 821)(541, 781, 584, 824)(543, 783, 564, 804)(544, 784, 587, 827)(545, 785, 589, 829)(547, 787, 593, 833)(549, 789, 595, 835)(551, 791, 597, 837)(552, 792, 599, 839)(554, 794, 574, 814)(555, 795, 604, 844)(556, 796, 601, 841)(558, 798, 608, 848)(559, 799, 609, 849)(560, 800, 611, 851)(562, 802, 614, 854)(565, 805, 617, 857)(566, 806, 618, 858)(568, 808, 620, 860)(569, 809, 622, 862)(571, 811, 624, 864)(572, 812, 626, 866)(575, 815, 630, 870)(576, 816, 628, 868)(578, 818, 632, 872)(580, 820, 605, 845)(582, 822, 637, 877)(583, 823, 639, 879)(585, 825, 598, 838)(586, 826, 643, 883)(588, 828, 645, 885)(590, 830, 600, 840)(591, 831, 647, 887)(592, 832, 649, 889)(594, 834, 621, 861)(596, 836, 653, 893)(602, 842, 659, 899)(603, 843, 661, 901)(606, 846, 664, 904)(607, 847, 662, 902)(610, 850, 631, 871)(612, 852, 668, 908)(613, 853, 670, 910)(615, 855, 625, 865)(616, 856, 673, 913)(619, 859, 627, 867)(623, 863, 680, 920)(629, 869, 684, 924)(633, 873, 658, 898)(634, 874, 687, 927)(635, 875, 688, 928)(636, 876, 689, 929)(638, 878, 675, 915)(640, 880, 656, 896)(641, 881, 692, 932)(642, 882, 678, 918)(644, 884, 695, 935)(646, 886, 669, 909)(648, 888, 698, 938)(650, 890, 700, 940)(651, 891, 672, 912)(652, 892, 701, 941)(654, 894, 686, 926)(655, 895, 693, 933)(657, 897, 702, 942)(660, 900, 703, 943)(663, 903, 681, 921)(665, 905, 704, 944)(666, 906, 699, 939)(667, 907, 705, 945)(671, 911, 706, 946)(674, 914, 694, 934)(676, 916, 710, 950)(677, 917, 691, 931)(679, 919, 711, 951)(682, 922, 707, 947)(683, 923, 712, 952)(685, 925, 690, 930)(696, 936, 713, 953)(697, 937, 715, 955)(708, 948, 717, 957)(709, 949, 719, 959)(714, 954, 718, 958)(716, 956, 720, 960)
	L = (1, 483)(2, 485)(3, 488)(4, 481)(5, 492)(6, 482)(7, 495)(8, 498)(9, 499)(10, 484)(11, 503)(12, 506)(13, 507)(14, 486)(15, 511)(16, 487)(17, 514)(18, 517)(19, 519)(20, 489)(21, 521)(22, 490)(23, 525)(24, 491)(25, 522)(26, 530)(27, 532)(28, 493)(29, 534)(30, 494)(31, 537)(32, 538)(33, 496)(34, 509)(35, 497)(36, 544)(37, 547)(38, 548)(39, 551)(40, 500)(41, 554)(42, 501)(43, 555)(44, 502)(45, 559)(46, 560)(47, 504)(48, 505)(49, 565)(50, 568)(51, 539)(52, 571)(53, 508)(54, 574)(55, 575)(56, 510)(57, 580)(58, 582)(59, 512)(60, 583)(61, 513)(62, 586)(63, 515)(64, 540)(65, 516)(66, 591)(67, 594)(68, 526)(69, 518)(70, 556)(71, 598)(72, 520)(73, 601)(74, 603)(75, 605)(76, 523)(77, 606)(78, 524)(79, 610)(80, 612)(81, 613)(82, 527)(83, 616)(84, 528)(85, 561)(86, 529)(87, 588)(88, 621)(89, 531)(90, 576)(91, 625)(92, 533)(93, 628)(94, 607)(95, 631)(96, 535)(97, 592)(98, 536)(99, 633)(100, 635)(101, 587)(102, 638)(103, 550)(104, 640)(105, 541)(106, 644)(107, 542)(108, 543)(109, 646)(110, 545)(111, 564)(112, 546)(113, 650)(114, 558)(115, 652)(116, 549)(117, 655)(118, 651)(119, 657)(120, 552)(121, 595)(122, 553)(123, 577)(124, 662)(125, 648)(126, 567)(127, 557)(128, 642)(129, 658)(130, 666)(131, 617)(132, 669)(133, 570)(134, 656)(135, 562)(136, 674)(137, 563)(138, 675)(139, 566)(140, 677)(141, 578)(142, 679)(143, 569)(144, 682)(145, 678)(146, 683)(147, 572)(148, 622)(149, 573)(150, 661)(151, 676)(152, 672)(153, 626)(154, 579)(155, 608)(156, 581)(157, 641)(158, 691)(159, 692)(160, 624)(161, 584)(162, 585)(163, 647)(164, 696)(165, 618)(166, 697)(167, 589)(168, 590)(169, 699)(170, 600)(171, 593)(172, 694)(173, 665)(174, 596)(175, 653)(176, 597)(177, 668)(178, 599)(179, 690)(180, 602)(181, 684)(182, 659)(183, 604)(184, 688)(185, 609)(186, 632)(187, 611)(188, 671)(189, 700)(190, 706)(191, 614)(192, 615)(193, 645)(194, 708)(195, 709)(196, 619)(197, 627)(198, 620)(199, 695)(200, 634)(201, 623)(202, 680)(203, 637)(204, 703)(205, 629)(206, 630)(207, 713)(208, 681)(209, 714)(210, 636)(211, 664)(212, 689)(213, 639)(214, 643)(215, 673)(216, 663)(217, 660)(218, 687)(219, 654)(220, 649)(221, 693)(222, 698)(223, 667)(224, 717)(225, 718)(226, 705)(227, 670)(228, 686)(229, 685)(230, 704)(231, 707)(232, 710)(233, 716)(234, 715)(235, 702)(236, 701)(237, 720)(238, 719)(239, 712)(240, 711)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3115
Graph:: simple bipartite
	v = 360 e = 480 f = 80
	degree seq :: [ 2^240, 4^120 ]

E21.3117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y2)^5, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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)(481, 721, 482, 722)(483, 723, 487, 727)(484, 724, 489, 729)(485, 725, 491, 731)(486, 726, 493, 733)(488, 728, 497, 737)(490, 730, 501, 741)(492, 732, 505, 745)(494, 734, 509, 749)(495, 735, 508, 748)(496, 736, 512, 752)(498, 738, 516, 756)(499, 739, 518, 758)(500, 740, 503, 743)(502, 742, 523, 763)(504, 744, 526, 766)(506, 746, 530, 770)(507, 747, 532, 772)(510, 750, 537, 777)(511, 751, 539, 779)(513, 753, 543, 783)(514, 754, 542, 782)(515, 755, 546, 786)(517, 757, 550, 790)(519, 759, 554, 794)(520, 760, 556, 796)(521, 761, 558, 798)(522, 762, 552, 792)(524, 764, 563, 803)(525, 765, 565, 805)(527, 767, 569, 809)(528, 768, 568, 808)(529, 769, 571, 811)(531, 771, 545, 785)(533, 773, 577, 817)(534, 774, 579, 819)(535, 775, 581, 821)(536, 776, 575, 815)(538, 778, 560, 800)(540, 780, 586, 826)(541, 781, 588, 828)(544, 784, 592, 832)(547, 787, 559, 799)(548, 788, 595, 835)(549, 789, 597, 837)(551, 791, 599, 839)(553, 793, 602, 842)(555, 795, 604, 844)(557, 797, 606, 846)(561, 801, 611, 851)(562, 802, 608, 848)(564, 804, 614, 854)(566, 806, 616, 856)(567, 807, 618, 858)(570, 810, 621, 861)(572, 812, 623, 863)(573, 813, 625, 865)(574, 814, 626, 866)(576, 816, 629, 869)(578, 818, 630, 870)(580, 820, 632, 872)(582, 822, 636, 876)(583, 823, 634, 874)(584, 824, 638, 878)(585, 825, 631, 871)(587, 827, 596, 836)(589, 829, 643, 883)(590, 830, 644, 884)(591, 831, 646, 886)(593, 833, 649, 889)(594, 834, 609, 849)(598, 838, 654, 894)(600, 840, 627, 867)(601, 841, 657, 897)(603, 843, 660, 900)(605, 845, 615, 855)(607, 847, 612, 852)(610, 850, 667, 907)(613, 853, 668, 908)(617, 857, 624, 864)(619, 859, 656, 896)(620, 860, 672, 912)(622, 862, 635, 875)(628, 868, 641, 881)(633, 873, 637, 877)(639, 879, 662, 902)(640, 880, 683, 923)(642, 882, 684, 924)(645, 885, 681, 921)(647, 887, 664, 904)(648, 888, 686, 926)(650, 890, 655, 895)(651, 891, 690, 930)(652, 892, 677, 917)(653, 893, 692, 932)(658, 898, 675, 915)(659, 899, 695, 935)(661, 901, 687, 927)(663, 903, 697, 937)(665, 905, 671, 911)(666, 906, 699, 939)(669, 909, 702, 942)(670, 910, 703, 943)(673, 913, 704, 944)(674, 914, 706, 946)(676, 916, 708, 948)(678, 918, 709, 949)(679, 919, 705, 945)(680, 920, 710, 950)(682, 922, 712, 952)(685, 925, 688, 928)(689, 929, 700, 940)(691, 931, 714, 954)(693, 933, 701, 941)(694, 934, 696, 936)(698, 938, 715, 955)(707, 947, 718, 958)(711, 951, 719, 959)(713, 953, 717, 957)(716, 956, 720, 960)
	L = (1, 483)(2, 485)(3, 488)(4, 481)(5, 492)(6, 482)(7, 495)(8, 498)(9, 499)(10, 484)(11, 503)(12, 506)(13, 507)(14, 486)(15, 511)(16, 487)(17, 514)(18, 517)(19, 519)(20, 489)(21, 521)(22, 490)(23, 525)(24, 491)(25, 528)(26, 531)(27, 533)(28, 493)(29, 535)(30, 494)(31, 540)(32, 541)(33, 496)(34, 545)(35, 497)(36, 548)(37, 551)(38, 552)(39, 555)(40, 500)(41, 559)(42, 501)(43, 561)(44, 502)(45, 566)(46, 567)(47, 504)(48, 550)(49, 505)(50, 572)(51, 574)(52, 575)(53, 578)(54, 508)(55, 547)(56, 509)(57, 582)(58, 510)(59, 585)(60, 587)(61, 589)(62, 512)(63, 591)(64, 513)(65, 593)(66, 594)(67, 515)(68, 596)(69, 516)(70, 598)(71, 600)(72, 601)(73, 518)(74, 549)(75, 539)(76, 544)(77, 520)(78, 608)(79, 529)(80, 522)(81, 543)(82, 523)(83, 536)(84, 524)(85, 615)(86, 617)(87, 603)(88, 526)(89, 620)(90, 527)(91, 622)(92, 624)(93, 530)(94, 627)(95, 628)(96, 532)(97, 573)(98, 565)(99, 570)(100, 534)(101, 634)(102, 569)(103, 537)(104, 538)(105, 599)(106, 639)(107, 641)(108, 611)(109, 576)(110, 542)(111, 554)(112, 647)(113, 650)(114, 651)(115, 546)(116, 653)(117, 602)(118, 655)(119, 656)(120, 564)(121, 658)(122, 659)(123, 553)(124, 661)(125, 556)(126, 663)(127, 557)(128, 665)(129, 558)(130, 560)(131, 668)(132, 562)(133, 563)(134, 605)(135, 626)(136, 662)(137, 657)(138, 636)(139, 568)(140, 577)(141, 664)(142, 674)(143, 571)(144, 676)(145, 629)(146, 644)(147, 584)(148, 677)(149, 678)(150, 679)(151, 579)(152, 680)(153, 580)(154, 681)(155, 581)(156, 667)(157, 583)(158, 631)(159, 630)(160, 586)(161, 614)(162, 588)(163, 640)(164, 633)(165, 590)(166, 686)(167, 632)(168, 592)(169, 625)(170, 613)(171, 642)(172, 595)(173, 612)(174, 597)(175, 610)(176, 607)(177, 638)(178, 694)(179, 666)(180, 669)(181, 696)(182, 604)(183, 660)(184, 606)(185, 698)(186, 609)(187, 700)(188, 701)(189, 616)(190, 618)(191, 619)(192, 704)(193, 621)(194, 670)(195, 623)(196, 637)(197, 685)(198, 682)(199, 688)(200, 643)(201, 711)(202, 635)(203, 684)(204, 713)(205, 645)(206, 714)(207, 646)(208, 648)(209, 649)(210, 689)(211, 652)(212, 683)(213, 654)(214, 671)(215, 697)(216, 673)(217, 692)(218, 706)(219, 707)(220, 699)(221, 712)(222, 703)(223, 717)(224, 718)(225, 672)(226, 693)(227, 675)(228, 702)(229, 710)(230, 708)(231, 690)(232, 691)(233, 715)(234, 716)(235, 687)(236, 695)(237, 719)(238, 720)(239, 705)(240, 709)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3114
Graph:: simple bipartite
	v = 360 e = 480 f = 80
	degree seq :: [ 2^240, 4^120 ]

E21.3118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|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)^4, (Y3 * Y1^2)^3, (Y1^-2 * Y3 * Y1^2 * Y3)^2, (Y1^2 * Y3 * Y1^-2 * Y3)^2, Y1^12, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 23, 263, 45, 285, 79, 319, 78, 318, 44, 284, 22, 262, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 31, 271, 57, 297, 97, 337, 129, 369, 114, 354, 67, 307, 37, 277, 18, 258, 8, 248)(6, 246, 13, 253, 27, 267, 52, 292, 89, 329, 139, 379, 128, 368, 150, 390, 96, 336, 56, 296, 30, 270, 14, 254)(9, 249, 19, 259, 38, 278, 68, 308, 115, 355, 131, 371, 80, 320, 130, 370, 120, 360, 72, 312, 40, 280, 20, 260)(12, 252, 25, 265, 36, 276, 65, 305, 109, 349, 127, 367, 77, 317, 126, 366, 98, 338, 88, 328, 51, 291, 26, 266)(16, 256, 33, 273, 60, 300, 102, 342, 156, 396, 209, 449, 171, 411, 186, 426, 162, 402, 105, 345, 62, 302, 34, 274)(17, 257, 35, 275, 63, 303, 106, 346, 163, 403, 206, 446, 151, 391, 199, 439, 143, 383, 91, 331, 53, 293, 28, 268)(21, 261, 41, 281, 73, 313, 121, 361, 113, 353, 82, 322, 46, 286, 81, 321, 87, 327, 59, 299, 32, 272, 42, 282)(24, 264, 47, 287, 55, 295, 94, 334, 69, 309, 76, 316, 43, 283, 75, 315, 124, 364, 135, 375, 85, 325, 48, 288)(29, 269, 54, 294, 92, 332, 144, 384, 200, 440, 184, 424, 195, 435, 217, 457, 166, 406, 108, 348, 64, 304, 49, 289)(39, 279, 70, 310, 61, 301, 103, 343, 158, 398, 189, 429, 185, 425, 133, 373, 187, 427, 176, 416, 118, 358, 71, 311)(50, 290, 86, 326, 136, 376, 191, 431, 183, 423, 125, 365, 182, 422, 180, 420, 203, 443, 146, 386, 93, 333, 83, 323)(58, 298, 99, 339, 104, 344, 160, 400, 107, 347, 112, 352, 66, 306, 111, 351, 169, 409, 207, 447, 154, 394, 100, 340)(74, 314, 122, 362, 117, 357, 174, 414, 193, 433, 137, 377, 132, 372, 84, 324, 134, 374, 188, 428, 181, 421, 123, 363)(90, 330, 140, 380, 142, 382, 198, 438, 145, 385, 149, 389, 95, 335, 148, 388, 164, 404, 215, 455, 197, 437, 141, 381)(101, 341, 155, 395, 208, 448, 230, 470, 220, 460, 170, 410, 179, 419, 218, 458, 223, 463, 212, 452, 159, 399, 152, 392)(110, 350, 167, 407, 165, 405, 216, 456, 192, 432, 194, 434, 138, 378, 153, 393, 201, 441, 227, 467, 219, 459, 168, 408)(116, 356, 172, 412, 175, 415, 210, 450, 157, 397, 178, 418, 119, 359, 177, 417, 211, 451, 214, 454, 161, 401, 173, 413)(147, 387, 204, 444, 202, 442, 228, 468, 224, 464, 222, 462, 190, 430, 196, 436, 225, 465, 236, 476, 221, 461, 205, 445)(213, 453, 233, 473, 232, 472, 238, 478, 237, 477, 226, 466, 229, 469, 231, 471, 239, 479, 240, 480, 235, 475, 234, 474)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 486)(3, 481)(4, 489)(5, 492)(6, 482)(7, 496)(8, 497)(9, 484)(10, 501)(11, 504)(12, 485)(13, 508)(14, 509)(15, 512)(16, 487)(17, 488)(18, 516)(19, 519)(20, 513)(21, 490)(22, 523)(23, 526)(24, 491)(25, 529)(26, 530)(27, 520)(28, 493)(29, 494)(30, 535)(31, 538)(32, 495)(33, 500)(34, 541)(35, 544)(36, 498)(37, 546)(38, 549)(39, 499)(40, 507)(41, 554)(42, 550)(43, 502)(44, 557)(45, 560)(46, 503)(47, 563)(48, 564)(49, 505)(50, 506)(51, 567)(52, 570)(53, 540)(54, 573)(55, 510)(56, 575)(57, 578)(58, 511)(59, 581)(60, 533)(61, 514)(62, 584)(63, 587)(64, 515)(65, 590)(66, 517)(67, 593)(68, 596)(69, 518)(70, 522)(71, 597)(72, 599)(73, 589)(74, 521)(75, 605)(76, 602)(77, 524)(78, 608)(79, 609)(80, 525)(81, 612)(82, 613)(83, 527)(84, 528)(85, 600)(86, 617)(87, 531)(88, 618)(89, 604)(90, 532)(91, 622)(92, 625)(93, 534)(94, 627)(95, 536)(96, 595)(97, 631)(98, 537)(99, 632)(100, 633)(101, 539)(102, 637)(103, 639)(104, 542)(105, 641)(106, 644)(107, 543)(108, 645)(109, 553)(110, 545)(111, 650)(112, 647)(113, 547)(114, 651)(115, 576)(116, 548)(117, 551)(118, 655)(119, 552)(120, 565)(121, 659)(122, 556)(123, 660)(124, 569)(125, 555)(126, 664)(127, 662)(128, 558)(129, 559)(130, 665)(131, 666)(132, 561)(133, 562)(134, 669)(135, 670)(136, 672)(137, 566)(138, 568)(139, 675)(140, 658)(141, 676)(142, 571)(143, 634)(144, 681)(145, 572)(146, 682)(147, 574)(148, 653)(149, 684)(150, 686)(151, 577)(152, 579)(153, 580)(154, 623)(155, 674)(156, 649)(157, 582)(158, 691)(159, 583)(160, 693)(161, 585)(162, 643)(163, 642)(164, 586)(165, 588)(166, 677)(167, 592)(168, 698)(169, 636)(170, 591)(171, 594)(172, 685)(173, 628)(174, 701)(175, 598)(176, 700)(177, 702)(178, 620)(179, 601)(180, 603)(181, 703)(182, 607)(183, 697)(184, 606)(185, 610)(186, 611)(187, 689)(188, 704)(189, 614)(190, 615)(191, 705)(192, 616)(193, 688)(194, 635)(195, 619)(196, 621)(197, 646)(198, 706)(199, 680)(200, 679)(201, 624)(202, 626)(203, 699)(204, 629)(205, 652)(206, 630)(207, 709)(208, 673)(209, 667)(210, 711)(211, 638)(212, 712)(213, 640)(214, 713)(215, 714)(216, 715)(217, 663)(218, 648)(219, 683)(220, 656)(221, 654)(222, 657)(223, 661)(224, 668)(225, 671)(226, 678)(227, 717)(228, 718)(229, 687)(230, 719)(231, 690)(232, 692)(233, 694)(234, 695)(235, 696)(236, 720)(237, 707)(238, 708)(239, 710)(240, 716)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3112
Graph:: simple bipartite
	v = 260 e = 480 f = 180
	degree seq :: [ 2^240, 24^20 ]

E21.3119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^4, Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2, Y1^12 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 23, 263, 45, 285, 85, 325, 84, 324, 44, 284, 22, 262, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 31, 271, 59, 299, 103, 343, 135, 375, 120, 360, 71, 311, 37, 277, 18, 258, 8, 248)(6, 246, 13, 253, 27, 267, 53, 293, 94, 334, 146, 386, 134, 374, 125, 365, 76, 316, 58, 298, 30, 270, 14, 254)(9, 249, 19, 259, 38, 278, 72, 312, 54, 294, 96, 336, 86, 326, 136, 376, 127, 367, 77, 317, 40, 280, 20, 260)(12, 252, 25, 265, 49, 289, 91, 331, 141, 381, 133, 373, 83, 323, 69, 309, 36, 276, 68, 308, 52, 292, 26, 266)(16, 256, 33, 273, 63, 303, 108, 348, 163, 403, 180, 420, 176, 416, 149, 389, 97, 337, 112, 352, 65, 305, 34, 274)(17, 257, 35, 275, 66, 306, 113, 353, 109, 349, 165, 405, 157, 397, 143, 383, 151, 391, 98, 338, 55, 295, 28, 268)(21, 261, 41, 281, 78, 318, 62, 302, 32, 272, 61, 301, 46, 286, 87, 327, 137, 377, 130, 370, 80, 320, 42, 282)(24, 264, 47, 287, 88, 328, 139, 379, 132, 372, 82, 322, 43, 283, 81, 321, 57, 297, 101, 341, 73, 313, 48, 288)(29, 269, 56, 296, 99, 339, 116, 356, 67, 307, 115, 355, 170, 410, 191, 431, 195, 435, 144, 384, 92, 332, 50, 290)(39, 279, 74, 314, 122, 362, 179, 419, 215, 455, 205, 445, 161, 401, 106, 346, 64, 304, 110, 350, 124, 364, 75, 315)(51, 291, 93, 333, 145, 385, 153, 393, 100, 340, 131, 371, 188, 428, 221, 461, 224, 464, 192, 432, 140, 380, 89, 329)(60, 300, 104, 344, 158, 398, 203, 443, 175, 415, 119, 359, 70, 310, 118, 358, 111, 351, 167, 407, 114, 354, 105, 345)(79, 319, 128, 368, 185, 425, 218, 458, 222, 462, 189, 429, 138, 378, 90, 330, 123, 363, 181, 421, 186, 426, 129, 369)(95, 335, 147, 387, 169, 409, 211, 451, 202, 442, 156, 396, 102, 342, 155, 395, 150, 390, 198, 438, 152, 392, 148, 388)(107, 347, 162, 402, 206, 446, 208, 448, 166, 406, 174, 414, 187, 427, 220, 460, 219, 459, 230, 470, 204, 444, 159, 399)(117, 357, 172, 412, 194, 434, 225, 465, 196, 436, 193, 433, 142, 382, 160, 400, 171, 411, 212, 452, 213, 453, 173, 413)(121, 361, 177, 417, 214, 454, 210, 450, 168, 408, 184, 424, 126, 366, 183, 423, 182, 422, 207, 447, 164, 404, 178, 418)(154, 394, 200, 440, 223, 463, 236, 476, 216, 456, 217, 457, 190, 430, 197, 437, 199, 439, 227, 467, 228, 468, 201, 441)(209, 449, 233, 473, 239, 479, 240, 480, 235, 475, 226, 466, 229, 469, 231, 471, 232, 472, 238, 478, 237, 477, 234, 474)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 486)(3, 481)(4, 489)(5, 492)(6, 482)(7, 496)(8, 497)(9, 484)(10, 501)(11, 504)(12, 485)(13, 508)(14, 509)(15, 512)(16, 487)(17, 488)(18, 516)(19, 519)(20, 513)(21, 490)(22, 523)(23, 526)(24, 491)(25, 530)(26, 531)(27, 534)(28, 493)(29, 494)(30, 537)(31, 540)(32, 495)(33, 500)(34, 544)(35, 547)(36, 498)(37, 550)(38, 553)(39, 499)(40, 556)(41, 559)(42, 554)(43, 502)(44, 563)(45, 566)(46, 503)(47, 569)(48, 570)(49, 539)(50, 505)(51, 506)(52, 558)(53, 575)(54, 507)(55, 577)(56, 580)(57, 510)(58, 582)(59, 529)(60, 511)(61, 586)(62, 587)(63, 589)(64, 514)(65, 591)(66, 594)(67, 515)(68, 597)(69, 595)(70, 517)(71, 560)(72, 601)(73, 518)(74, 522)(75, 603)(76, 520)(77, 606)(78, 532)(79, 521)(80, 551)(81, 611)(82, 608)(83, 524)(84, 614)(85, 615)(86, 525)(87, 618)(88, 574)(89, 527)(90, 528)(91, 622)(92, 623)(93, 609)(94, 568)(95, 533)(96, 629)(97, 535)(98, 630)(99, 632)(100, 536)(101, 634)(102, 538)(103, 637)(104, 639)(105, 640)(106, 541)(107, 542)(108, 644)(109, 543)(110, 646)(111, 545)(112, 648)(113, 649)(114, 546)(115, 549)(116, 651)(117, 548)(118, 654)(119, 652)(120, 656)(121, 552)(122, 660)(123, 555)(124, 662)(125, 645)(126, 557)(127, 612)(128, 562)(129, 573)(130, 667)(131, 561)(132, 607)(133, 668)(134, 564)(135, 565)(136, 641)(137, 621)(138, 567)(139, 670)(140, 671)(141, 617)(142, 571)(143, 572)(144, 674)(145, 676)(146, 650)(147, 658)(148, 677)(149, 576)(150, 578)(151, 655)(152, 579)(153, 679)(154, 581)(155, 664)(156, 680)(157, 583)(158, 643)(159, 584)(160, 585)(161, 616)(162, 653)(163, 638)(164, 588)(165, 605)(166, 590)(167, 689)(168, 592)(169, 593)(170, 626)(171, 596)(172, 599)(173, 642)(174, 598)(175, 631)(176, 600)(177, 681)(178, 627)(179, 684)(180, 602)(181, 696)(182, 604)(183, 697)(184, 635)(185, 685)(186, 699)(187, 610)(188, 613)(189, 701)(190, 619)(191, 620)(192, 703)(193, 700)(194, 624)(195, 682)(196, 625)(197, 628)(198, 706)(199, 633)(200, 636)(201, 657)(202, 675)(203, 709)(204, 659)(205, 665)(206, 702)(207, 711)(208, 712)(209, 647)(210, 713)(211, 714)(212, 715)(213, 704)(214, 695)(215, 694)(216, 661)(217, 663)(218, 708)(219, 666)(220, 673)(221, 669)(222, 686)(223, 672)(224, 693)(225, 717)(226, 678)(227, 718)(228, 698)(229, 683)(230, 719)(231, 687)(232, 688)(233, 690)(234, 691)(235, 692)(236, 720)(237, 705)(238, 707)(239, 710)(240, 716)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3113
Graph:: simple bipartite
	v = 260 e = 480 f = 180
	degree seq :: [ 2^240, 24^20 ]

E21.3120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y1 * Y2^-2)^3, (Y2^-2 * Y1 * Y2^2 * Y1)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^2, Y2^12, Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * Y1 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 21, 261)(12, 252, 25, 265)(14, 254, 29, 269)(15, 255, 28, 268)(16, 256, 32, 272)(18, 258, 36, 276)(19, 259, 38, 278)(20, 260, 23, 263)(22, 262, 43, 283)(24, 264, 46, 286)(26, 266, 49, 289)(27, 267, 51, 291)(30, 270, 55, 295)(31, 271, 40, 280)(33, 273, 60, 300)(34, 274, 59, 299)(35, 275, 62, 302)(37, 277, 66, 306)(39, 279, 70, 310)(41, 281, 73, 313)(42, 282, 68, 308)(44, 284, 77, 317)(45, 285, 53, 293)(47, 287, 81, 321)(48, 288, 83, 323)(50, 290, 87, 327)(52, 292, 90, 330)(54, 294, 93, 333)(56, 296, 97, 337)(57, 297, 99, 339)(58, 298, 101, 341)(61, 301, 104, 344)(63, 303, 84, 324)(64, 304, 107, 347)(65, 305, 109, 349)(67, 307, 113, 353)(69, 309, 115, 355)(71, 311, 117, 357)(72, 312, 119, 359)(74, 314, 94, 334)(75, 315, 124, 364)(76, 316, 121, 361)(78, 318, 128, 368)(79, 319, 129, 369)(80, 320, 131, 371)(82, 322, 134, 374)(85, 325, 137, 377)(86, 326, 138, 378)(88, 328, 140, 380)(89, 329, 142, 382)(91, 331, 144, 384)(92, 332, 146, 386)(95, 335, 150, 390)(96, 336, 148, 388)(98, 338, 152, 392)(100, 340, 125, 365)(102, 342, 157, 397)(103, 343, 159, 399)(105, 345, 118, 358)(106, 346, 163, 403)(108, 348, 165, 405)(110, 350, 120, 360)(111, 351, 167, 407)(112, 352, 169, 409)(114, 354, 141, 381)(116, 356, 173, 413)(122, 362, 179, 419)(123, 363, 181, 421)(126, 366, 184, 424)(127, 367, 182, 422)(130, 370, 151, 391)(132, 372, 188, 428)(133, 373, 190, 430)(135, 375, 145, 385)(136, 376, 193, 433)(139, 379, 147, 387)(143, 383, 200, 440)(149, 389, 204, 444)(153, 393, 178, 418)(154, 394, 207, 447)(155, 395, 208, 448)(156, 396, 209, 449)(158, 398, 195, 435)(160, 400, 176, 416)(161, 401, 212, 452)(162, 402, 198, 438)(164, 404, 215, 455)(166, 406, 189, 429)(168, 408, 218, 458)(170, 410, 220, 460)(171, 411, 192, 432)(172, 412, 221, 461)(174, 414, 206, 446)(175, 415, 213, 453)(177, 417, 222, 462)(180, 420, 223, 463)(183, 423, 201, 441)(185, 425, 224, 464)(186, 426, 219, 459)(187, 427, 225, 465)(191, 431, 226, 466)(194, 434, 214, 454)(196, 436, 230, 470)(197, 437, 211, 451)(199, 439, 231, 471)(202, 442, 227, 467)(203, 443, 232, 472)(205, 445, 210, 450)(216, 456, 233, 473)(217, 457, 235, 475)(228, 468, 237, 477)(229, 469, 239, 479)(234, 474, 238, 478)(236, 476, 240, 480)(481, 721, 483, 723, 488, 728, 498, 738, 517, 757, 547, 787, 594, 834, 558, 798, 524, 764, 502, 742, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 506, 746, 530, 770, 568, 808, 621, 861, 578, 818, 536, 776, 510, 750, 494, 734, 486, 726)(487, 727, 495, 735, 511, 751, 537, 777, 580, 820, 635, 875, 608, 848, 642, 882, 585, 825, 541, 781, 513, 753, 496, 736)(489, 729, 499, 739, 519, 759, 551, 791, 598, 838, 651, 891, 593, 833, 650, 890, 600, 840, 552, 792, 520, 760, 500, 740)(491, 731, 503, 743, 525, 765, 559, 799, 610, 850, 666, 906, 632, 872, 672, 912, 615, 855, 562, 802, 527, 767, 504, 744)(493, 733, 507, 747, 532, 772, 571, 811, 625, 865, 678, 918, 620, 860, 677, 917, 627, 867, 572, 812, 533, 773, 508, 748)(497, 737, 514, 754, 509, 749, 534, 774, 574, 814, 607, 847, 557, 797, 606, 846, 567, 807, 588, 828, 543, 783, 515, 755)(501, 741, 521, 761, 554, 794, 603, 843, 577, 817, 592, 832, 546, 786, 591, 831, 564, 804, 528, 768, 505, 745, 522, 762)(512, 752, 538, 778, 582, 822, 638, 878, 691, 931, 664, 904, 688, 928, 681, 921, 623, 863, 569, 809, 531, 771, 539, 779)(516, 756, 544, 784, 540, 780, 583, 823, 550, 790, 556, 796, 523, 763, 555, 795, 605, 845, 648, 888, 590, 830, 545, 785)(518, 758, 548, 788, 526, 766, 560, 800, 612, 852, 669, 909, 700, 940, 649, 889, 699, 939, 654, 894, 596, 836, 549, 789)(529, 769, 565, 805, 561, 801, 613, 853, 570, 810, 576, 816, 535, 775, 575, 815, 631, 871, 676, 916, 619, 859, 566, 806)(542, 782, 586, 826, 644, 884, 696, 936, 663, 903, 604, 844, 662, 902, 659, 899, 690, 930, 636, 876, 581, 821, 587, 827)(553, 793, 601, 841, 595, 835, 652, 892, 694, 934, 643, 883, 647, 887, 589, 829, 646, 886, 697, 937, 660, 900, 602, 842)(563, 803, 616, 856, 674, 914, 708, 948, 686, 926, 630, 870, 661, 901, 684, 924, 703, 943, 667, 907, 611, 851, 617, 857)(573, 813, 628, 868, 622, 862, 679, 919, 695, 935, 673, 913, 645, 885, 618, 858, 675, 915, 709, 949, 685, 925, 629, 869)(579, 819, 633, 873, 626, 866, 683, 923, 637, 877, 641, 881, 584, 824, 640, 880, 624, 864, 682, 922, 680, 920, 634, 874)(597, 837, 655, 895, 653, 893, 665, 905, 609, 849, 658, 898, 599, 839, 657, 897, 668, 908, 671, 911, 614, 854, 656, 896)(639, 879, 692, 932, 689, 929, 714, 954, 715, 955, 702, 942, 698, 938, 687, 927, 713, 953, 716, 956, 701, 941, 693, 933)(670, 910, 706, 946, 705, 945, 718, 958, 719, 959, 712, 952, 710, 950, 704, 944, 717, 957, 720, 960, 711, 951, 707, 947)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 505)(13, 486)(14, 509)(15, 508)(16, 512)(17, 488)(18, 516)(19, 518)(20, 503)(21, 490)(22, 523)(23, 500)(24, 526)(25, 492)(26, 529)(27, 531)(28, 495)(29, 494)(30, 535)(31, 520)(32, 496)(33, 540)(34, 539)(35, 542)(36, 498)(37, 546)(38, 499)(39, 550)(40, 511)(41, 553)(42, 548)(43, 502)(44, 557)(45, 533)(46, 504)(47, 561)(48, 563)(49, 506)(50, 567)(51, 507)(52, 570)(53, 525)(54, 573)(55, 510)(56, 577)(57, 579)(58, 581)(59, 514)(60, 513)(61, 584)(62, 515)(63, 564)(64, 587)(65, 589)(66, 517)(67, 593)(68, 522)(69, 595)(70, 519)(71, 597)(72, 599)(73, 521)(74, 574)(75, 604)(76, 601)(77, 524)(78, 608)(79, 609)(80, 611)(81, 527)(82, 614)(83, 528)(84, 543)(85, 617)(86, 618)(87, 530)(88, 620)(89, 622)(90, 532)(91, 624)(92, 626)(93, 534)(94, 554)(95, 630)(96, 628)(97, 536)(98, 632)(99, 537)(100, 605)(101, 538)(102, 637)(103, 639)(104, 541)(105, 598)(106, 643)(107, 544)(108, 645)(109, 545)(110, 600)(111, 647)(112, 649)(113, 547)(114, 621)(115, 549)(116, 653)(117, 551)(118, 585)(119, 552)(120, 590)(121, 556)(122, 659)(123, 661)(124, 555)(125, 580)(126, 664)(127, 662)(128, 558)(129, 559)(130, 631)(131, 560)(132, 668)(133, 670)(134, 562)(135, 625)(136, 673)(137, 565)(138, 566)(139, 627)(140, 568)(141, 594)(142, 569)(143, 680)(144, 571)(145, 615)(146, 572)(147, 619)(148, 576)(149, 684)(150, 575)(151, 610)(152, 578)(153, 658)(154, 687)(155, 688)(156, 689)(157, 582)(158, 675)(159, 583)(160, 656)(161, 692)(162, 678)(163, 586)(164, 695)(165, 588)(166, 669)(167, 591)(168, 698)(169, 592)(170, 700)(171, 672)(172, 701)(173, 596)(174, 686)(175, 693)(176, 640)(177, 702)(178, 633)(179, 602)(180, 703)(181, 603)(182, 607)(183, 681)(184, 606)(185, 704)(186, 699)(187, 705)(188, 612)(189, 646)(190, 613)(191, 706)(192, 651)(193, 616)(194, 694)(195, 638)(196, 710)(197, 691)(198, 642)(199, 711)(200, 623)(201, 663)(202, 707)(203, 712)(204, 629)(205, 690)(206, 654)(207, 634)(208, 635)(209, 636)(210, 685)(211, 677)(212, 641)(213, 655)(214, 674)(215, 644)(216, 713)(217, 715)(218, 648)(219, 666)(220, 650)(221, 652)(222, 657)(223, 660)(224, 665)(225, 667)(226, 671)(227, 682)(228, 717)(229, 719)(230, 676)(231, 679)(232, 683)(233, 696)(234, 718)(235, 697)(236, 720)(237, 708)(238, 714)(239, 709)(240, 716)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3123
Graph:: bipartite
	v = 140 e = 480 f = 300
	degree seq :: [ 4^120, 24^20 ]

E21.3121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-4 * Y1 * Y2^2 * Y1 * Y2, Y1 * Y2^2 * R * Y2^4 * R * Y2^2, Y1 * Y2^-2 * R * Y2^-4 * R * Y2^-2, Y2^12, (Y2 * Y1 * Y2^-1 * Y1)^5 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 21, 261)(12, 252, 25, 265)(14, 254, 29, 269)(15, 255, 28, 268)(16, 256, 32, 272)(18, 258, 36, 276)(19, 259, 38, 278)(20, 260, 23, 263)(22, 262, 43, 283)(24, 264, 46, 286)(26, 266, 50, 290)(27, 267, 52, 292)(30, 270, 57, 297)(31, 271, 59, 299)(33, 273, 63, 303)(34, 274, 62, 302)(35, 275, 66, 306)(37, 277, 70, 310)(39, 279, 74, 314)(40, 280, 76, 316)(41, 281, 78, 318)(42, 282, 72, 312)(44, 284, 83, 323)(45, 285, 85, 325)(47, 287, 89, 329)(48, 288, 88, 328)(49, 289, 91, 331)(51, 291, 65, 305)(53, 293, 97, 337)(54, 294, 99, 339)(55, 295, 101, 341)(56, 296, 95, 335)(58, 298, 80, 320)(60, 300, 106, 346)(61, 301, 108, 348)(64, 304, 112, 352)(67, 307, 79, 319)(68, 308, 115, 355)(69, 309, 117, 357)(71, 311, 119, 359)(73, 313, 122, 362)(75, 315, 124, 364)(77, 317, 126, 366)(81, 321, 131, 371)(82, 322, 128, 368)(84, 324, 134, 374)(86, 326, 136, 376)(87, 327, 138, 378)(90, 330, 141, 381)(92, 332, 143, 383)(93, 333, 145, 385)(94, 334, 146, 386)(96, 336, 149, 389)(98, 338, 150, 390)(100, 340, 152, 392)(102, 342, 156, 396)(103, 343, 154, 394)(104, 344, 158, 398)(105, 345, 151, 391)(107, 347, 116, 356)(109, 349, 163, 403)(110, 350, 164, 404)(111, 351, 166, 406)(113, 353, 169, 409)(114, 354, 129, 369)(118, 358, 174, 414)(120, 360, 147, 387)(121, 361, 177, 417)(123, 363, 180, 420)(125, 365, 135, 375)(127, 367, 132, 372)(130, 370, 187, 427)(133, 373, 188, 428)(137, 377, 144, 384)(139, 379, 176, 416)(140, 380, 192, 432)(142, 382, 155, 395)(148, 388, 161, 401)(153, 393, 157, 397)(159, 399, 182, 422)(160, 400, 203, 443)(162, 402, 204, 444)(165, 405, 201, 441)(167, 407, 184, 424)(168, 408, 206, 446)(170, 410, 175, 415)(171, 411, 210, 450)(172, 412, 197, 437)(173, 413, 212, 452)(178, 418, 195, 435)(179, 419, 215, 455)(181, 421, 207, 447)(183, 423, 217, 457)(185, 425, 191, 431)(186, 426, 219, 459)(189, 429, 222, 462)(190, 430, 223, 463)(193, 433, 224, 464)(194, 434, 226, 466)(196, 436, 228, 468)(198, 438, 229, 469)(199, 439, 225, 465)(200, 440, 230, 470)(202, 442, 232, 472)(205, 445, 208, 448)(209, 449, 220, 460)(211, 451, 234, 474)(213, 453, 221, 461)(214, 454, 216, 456)(218, 458, 235, 475)(227, 467, 238, 478)(231, 471, 239, 479)(233, 473, 237, 477)(236, 476, 240, 480)(481, 721, 483, 723, 488, 728, 498, 738, 517, 757, 551, 791, 600, 840, 564, 804, 524, 764, 502, 742, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 506, 746, 531, 771, 574, 814, 627, 867, 584, 824, 538, 778, 510, 750, 494, 734, 486, 726)(487, 727, 495, 735, 511, 751, 540, 780, 587, 827, 641, 881, 614, 854, 605, 845, 556, 796, 544, 784, 513, 753, 496, 736)(489, 729, 499, 739, 519, 759, 555, 795, 539, 779, 585, 825, 599, 839, 656, 896, 607, 847, 557, 797, 520, 760, 500, 740)(491, 731, 503, 743, 525, 765, 566, 806, 617, 857, 657, 897, 638, 878, 631, 871, 579, 819, 570, 810, 527, 767, 504, 744)(493, 733, 507, 747, 533, 773, 578, 818, 565, 805, 615, 855, 626, 866, 644, 884, 633, 873, 580, 820, 534, 774, 508, 748)(497, 737, 514, 754, 545, 785, 593, 833, 650, 890, 613, 853, 563, 803, 536, 776, 509, 749, 535, 775, 547, 787, 515, 755)(501, 741, 521, 761, 559, 799, 529, 769, 505, 745, 528, 768, 550, 790, 598, 838, 655, 895, 610, 850, 560, 800, 522, 762)(512, 752, 541, 781, 589, 829, 576, 816, 532, 772, 575, 815, 628, 868, 677, 917, 685, 925, 645, 885, 590, 830, 542, 782)(516, 756, 548, 788, 596, 836, 653, 893, 612, 852, 562, 802, 523, 763, 561, 801, 543, 783, 591, 831, 554, 794, 549, 789)(518, 758, 552, 792, 601, 841, 658, 898, 694, 934, 671, 911, 619, 859, 568, 808, 526, 766, 567, 807, 603, 843, 553, 793)(530, 770, 572, 812, 624, 864, 676, 916, 637, 877, 583, 823, 537, 777, 582, 822, 569, 809, 620, 860, 577, 817, 573, 813)(546, 786, 594, 834, 651, 891, 642, 882, 588, 828, 611, 851, 668, 908, 701, 941, 712, 952, 691, 931, 652, 892, 595, 835)(558, 798, 608, 848, 665, 905, 698, 938, 706, 946, 693, 933, 654, 894, 597, 837, 602, 842, 659, 899, 666, 906, 609, 849)(571, 811, 622, 862, 674, 914, 670, 910, 618, 858, 636, 876, 667, 907, 700, 940, 699, 939, 707, 947, 675, 915, 623, 863)(581, 821, 634, 874, 681, 921, 711, 951, 690, 930, 689, 929, 649, 889, 625, 865, 629, 869, 678, 918, 682, 922, 635, 875)(586, 826, 639, 879, 630, 870, 679, 919, 688, 928, 648, 888, 592, 832, 647, 887, 632, 872, 680, 920, 643, 883, 640, 880)(604, 844, 661, 901, 696, 936, 673, 913, 621, 861, 664, 904, 606, 846, 663, 903, 660, 900, 669, 909, 616, 856, 662, 902)(646, 886, 686, 926, 714, 954, 716, 956, 695, 935, 697, 937, 692, 932, 683, 923, 684, 924, 713, 953, 715, 955, 687, 927)(672, 912, 704, 944, 718, 958, 720, 960, 709, 949, 710, 950, 708, 948, 702, 942, 703, 943, 717, 957, 719, 959, 705, 945)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 505)(13, 486)(14, 509)(15, 508)(16, 512)(17, 488)(18, 516)(19, 518)(20, 503)(21, 490)(22, 523)(23, 500)(24, 526)(25, 492)(26, 530)(27, 532)(28, 495)(29, 494)(30, 537)(31, 539)(32, 496)(33, 543)(34, 542)(35, 546)(36, 498)(37, 550)(38, 499)(39, 554)(40, 556)(41, 558)(42, 552)(43, 502)(44, 563)(45, 565)(46, 504)(47, 569)(48, 568)(49, 571)(50, 506)(51, 545)(52, 507)(53, 577)(54, 579)(55, 581)(56, 575)(57, 510)(58, 560)(59, 511)(60, 586)(61, 588)(62, 514)(63, 513)(64, 592)(65, 531)(66, 515)(67, 559)(68, 595)(69, 597)(70, 517)(71, 599)(72, 522)(73, 602)(74, 519)(75, 604)(76, 520)(77, 606)(78, 521)(79, 547)(80, 538)(81, 611)(82, 608)(83, 524)(84, 614)(85, 525)(86, 616)(87, 618)(88, 528)(89, 527)(90, 621)(91, 529)(92, 623)(93, 625)(94, 626)(95, 536)(96, 629)(97, 533)(98, 630)(99, 534)(100, 632)(101, 535)(102, 636)(103, 634)(104, 638)(105, 631)(106, 540)(107, 596)(108, 541)(109, 643)(110, 644)(111, 646)(112, 544)(113, 649)(114, 609)(115, 548)(116, 587)(117, 549)(118, 654)(119, 551)(120, 627)(121, 657)(122, 553)(123, 660)(124, 555)(125, 615)(126, 557)(127, 612)(128, 562)(129, 594)(130, 667)(131, 561)(132, 607)(133, 668)(134, 564)(135, 605)(136, 566)(137, 624)(138, 567)(139, 656)(140, 672)(141, 570)(142, 635)(143, 572)(144, 617)(145, 573)(146, 574)(147, 600)(148, 641)(149, 576)(150, 578)(151, 585)(152, 580)(153, 637)(154, 583)(155, 622)(156, 582)(157, 633)(158, 584)(159, 662)(160, 683)(161, 628)(162, 684)(163, 589)(164, 590)(165, 681)(166, 591)(167, 664)(168, 686)(169, 593)(170, 655)(171, 690)(172, 677)(173, 692)(174, 598)(175, 650)(176, 619)(177, 601)(178, 675)(179, 695)(180, 603)(181, 687)(182, 639)(183, 697)(184, 647)(185, 671)(186, 699)(187, 610)(188, 613)(189, 702)(190, 703)(191, 665)(192, 620)(193, 704)(194, 706)(195, 658)(196, 708)(197, 652)(198, 709)(199, 705)(200, 710)(201, 645)(202, 712)(203, 640)(204, 642)(205, 688)(206, 648)(207, 661)(208, 685)(209, 700)(210, 651)(211, 714)(212, 653)(213, 701)(214, 696)(215, 659)(216, 694)(217, 663)(218, 715)(219, 666)(220, 689)(221, 693)(222, 669)(223, 670)(224, 673)(225, 679)(226, 674)(227, 718)(228, 676)(229, 678)(230, 680)(231, 719)(232, 682)(233, 717)(234, 691)(235, 698)(236, 720)(237, 713)(238, 707)(239, 711)(240, 716)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3122
Graph:: bipartite
	v = 140 e = 480 f = 300
	degree seq :: [ 4^120, 24^20 ]

E21.3122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1 * Y3^-3 * Y1, Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3, (Y3^-3 * Y1 * Y3^-2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 34, 274, 15, 255)(10, 250, 23, 263, 49, 289, 25, 265)(12, 252, 16, 256, 35, 275, 28, 268)(14, 254, 31, 271, 62, 302, 29, 269)(17, 257, 37, 277, 77, 317, 39, 279)(20, 260, 43, 283, 86, 326, 41, 281)(22, 262, 47, 287, 94, 334, 45, 285)(24, 264, 51, 291, 104, 344, 53, 293)(26, 266, 46, 286, 95, 335, 56, 296)(27, 267, 57, 297, 114, 354, 59, 299)(30, 270, 63, 303, 84, 324, 40, 280)(32, 272, 67, 307, 123, 363, 65, 305)(33, 273, 69, 309, 125, 365, 71, 311)(36, 276, 75, 315, 134, 374, 73, 313)(38, 278, 79, 319, 144, 384, 81, 321)(42, 282, 87, 327, 132, 372, 72, 312)(44, 284, 91, 331, 155, 395, 89, 329)(48, 288, 99, 339, 161, 401, 97, 337)(50, 290, 103, 343, 164, 404, 101, 341)(52, 292, 82, 322, 142, 382, 107, 347)(54, 294, 102, 342, 131, 371, 110, 350)(55, 295, 80, 320, 130, 370, 112, 352)(58, 298, 116, 356, 170, 410, 109, 349)(60, 300, 74, 314, 135, 375, 106, 346)(61, 301, 118, 358, 166, 406, 105, 345)(64, 304, 121, 361, 138, 378, 100, 340)(66, 306, 92, 332, 136, 376, 119, 359)(68, 308, 88, 328, 153, 393, 98, 338)(70, 310, 127, 367, 179, 419, 129, 369)(76, 316, 139, 379, 185, 425, 137, 377)(78, 318, 143, 383, 188, 428, 141, 381)(83, 323, 128, 368, 117, 357, 148, 388)(85, 325, 150, 390, 190, 430, 145, 385)(90, 330, 140, 380, 96, 336, 151, 391)(93, 333, 157, 397, 197, 437, 158, 398)(108, 348, 167, 407, 195, 435, 154, 394)(111, 351, 171, 411, 196, 436, 156, 396)(113, 353, 149, 389, 120, 360, 152, 392)(115, 355, 160, 400, 199, 439, 172, 412)(122, 362, 169, 409, 206, 446, 175, 415)(124, 364, 168, 408, 189, 429, 176, 416)(126, 366, 178, 418, 212, 452, 177, 417)(133, 373, 183, 423, 213, 453, 180, 420)(146, 386, 191, 431, 174, 414, 184, 424)(147, 387, 192, 432, 216, 456, 186, 426)(159, 399, 181, 421, 214, 454, 194, 434)(162, 402, 182, 422, 165, 405, 200, 440)(163, 403, 201, 441, 224, 464, 202, 442)(173, 413, 208, 448, 229, 469, 204, 444)(187, 427, 217, 457, 234, 474, 218, 458)(193, 433, 222, 462, 205, 445, 220, 460)(198, 438, 223, 463, 233, 473, 225, 465)(203, 443, 211, 451, 231, 471, 227, 467)(207, 447, 226, 466, 210, 450, 219, 459)(209, 449, 221, 461, 232, 472, 215, 455)(228, 468, 238, 478, 239, 479, 236, 476)(230, 470, 237, 477, 240, 480, 235, 475)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 506)(12, 507)(13, 509)(14, 485)(15, 513)(16, 486)(17, 518)(18, 520)(19, 521)(20, 488)(21, 525)(22, 489)(23, 491)(24, 532)(25, 534)(26, 535)(27, 538)(28, 540)(29, 541)(30, 493)(31, 545)(32, 494)(33, 550)(34, 552)(35, 553)(36, 496)(37, 498)(38, 560)(39, 562)(40, 563)(41, 565)(42, 499)(43, 569)(44, 500)(45, 573)(46, 501)(47, 577)(48, 502)(49, 581)(50, 503)(51, 505)(52, 586)(53, 588)(54, 589)(55, 591)(56, 593)(57, 508)(58, 590)(59, 597)(60, 587)(61, 595)(62, 599)(63, 580)(64, 510)(65, 583)(66, 511)(67, 578)(68, 512)(69, 514)(70, 608)(71, 610)(72, 611)(73, 613)(74, 515)(75, 617)(76, 516)(77, 621)(78, 517)(79, 519)(80, 536)(81, 626)(82, 533)(83, 627)(84, 629)(85, 530)(86, 631)(87, 548)(88, 522)(89, 623)(90, 523)(91, 546)(92, 524)(93, 606)(94, 633)(95, 620)(96, 526)(97, 640)(98, 527)(99, 618)(100, 528)(101, 643)(102, 529)(103, 625)(104, 646)(105, 531)(106, 632)(107, 648)(108, 636)(109, 649)(110, 612)(111, 634)(112, 605)(113, 615)(114, 652)(115, 537)(116, 539)(117, 609)(118, 542)(119, 654)(120, 543)(121, 655)(122, 544)(123, 656)(124, 547)(125, 657)(126, 549)(127, 551)(128, 564)(129, 661)(130, 561)(131, 662)(132, 600)(133, 558)(134, 601)(135, 572)(136, 554)(137, 658)(138, 555)(139, 570)(140, 556)(141, 667)(142, 557)(143, 660)(144, 670)(145, 559)(146, 666)(147, 664)(148, 594)(149, 575)(150, 566)(151, 674)(152, 567)(153, 675)(154, 568)(155, 676)(156, 571)(157, 574)(158, 596)(159, 576)(160, 585)(161, 680)(162, 579)(163, 678)(164, 603)(165, 582)(166, 684)(167, 584)(168, 602)(169, 604)(170, 677)(171, 592)(172, 687)(173, 598)(174, 689)(175, 688)(176, 690)(177, 691)(178, 638)(179, 693)(180, 607)(181, 642)(182, 639)(183, 614)(184, 616)(185, 696)(186, 619)(187, 653)(188, 635)(189, 622)(190, 700)(191, 624)(192, 628)(193, 630)(194, 703)(195, 702)(196, 704)(197, 705)(198, 637)(199, 641)(200, 707)(201, 644)(202, 651)(203, 645)(204, 708)(205, 647)(206, 650)(207, 695)(208, 698)(209, 699)(210, 710)(211, 673)(212, 665)(213, 712)(214, 659)(215, 663)(216, 714)(217, 668)(218, 672)(219, 669)(220, 715)(221, 671)(222, 683)(223, 682)(224, 716)(225, 717)(226, 679)(227, 718)(228, 681)(229, 686)(230, 685)(231, 692)(232, 719)(233, 694)(234, 720)(235, 697)(236, 701)(237, 706)(238, 709)(239, 711)(240, 713)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3121
Graph:: simple bipartite
	v = 300 e = 480 f = 140
	degree seq :: [ 2^240, 8^60 ]

E21.3123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = A5 : C4 (small group id <240, 91>)
Aut   = (C2 x C2 x A5) : C2 (small group id <480, 951>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^3, Y3^2 * Y1 * Y3^-1 * Y1 * Y3^3 * Y1 * Y3^-2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-3 * Y1^-2 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 32, 272, 15, 255)(10, 250, 23, 263, 44, 284, 25, 265)(12, 252, 16, 256, 33, 273, 27, 267)(14, 254, 29, 269, 53, 293, 28, 268)(17, 257, 35, 275, 63, 303, 37, 277)(20, 260, 39, 279, 69, 309, 38, 278)(22, 262, 42, 282, 74, 314, 41, 281)(24, 264, 46, 286, 81, 321, 48, 288)(26, 266, 49, 289, 86, 326, 51, 291)(30, 270, 55, 295, 95, 335, 54, 294)(31, 271, 57, 297, 99, 339, 59, 299)(34, 274, 61, 301, 105, 345, 60, 300)(36, 276, 65, 305, 112, 352, 67, 307)(40, 280, 71, 311, 121, 361, 70, 310)(43, 283, 76, 316, 129, 369, 75, 315)(45, 285, 79, 319, 134, 374, 78, 318)(47, 287, 83, 323, 139, 379, 85, 325)(50, 290, 88, 328, 143, 383, 90, 330)(52, 292, 91, 331, 148, 388, 93, 333)(56, 296, 97, 337, 152, 392, 96, 336)(58, 298, 101, 341, 157, 397, 103, 343)(62, 302, 107, 347, 166, 406, 106, 346)(64, 304, 110, 350, 171, 411, 109, 349)(66, 306, 114, 354, 174, 414, 116, 356)(68, 308, 117, 357, 177, 417, 119, 359)(72, 312, 123, 363, 181, 421, 122, 362)(73, 313, 125, 365, 183, 423, 127, 367)(77, 317, 131, 371, 187, 427, 130, 370)(80, 320, 135, 375, 173, 413, 113, 353)(82, 322, 137, 377, 194, 434, 136, 376)(84, 324, 140, 380, 182, 422, 124, 364)(87, 327, 138, 378, 195, 435, 142, 382)(89, 329, 145, 385, 198, 438, 147, 387)(92, 332, 128, 368, 186, 426, 150, 390)(94, 334, 151, 391, 179, 419, 118, 358)(98, 338, 146, 386, 199, 439, 153, 393)(100, 340, 155, 395, 205, 445, 154, 394)(102, 342, 159, 399, 208, 448, 161, 401)(104, 344, 162, 402, 211, 451, 164, 404)(108, 348, 168, 408, 215, 455, 167, 407)(111, 351, 172, 412, 207, 447, 158, 398)(115, 355, 175, 415, 216, 456, 169, 409)(120, 360, 180, 420, 213, 453, 163, 403)(126, 366, 165, 405, 214, 454, 185, 425)(132, 372, 160, 400, 209, 449, 188, 428)(133, 373, 190, 430, 220, 460, 192, 432)(141, 381, 176, 416, 210, 450, 189, 429)(144, 384, 156, 396, 206, 446, 197, 437)(149, 389, 201, 441, 226, 466, 200, 440)(170, 410, 217, 457, 232, 472, 219, 459)(178, 418, 222, 462, 203, 443, 221, 461)(184, 424, 223, 463, 234, 474, 225, 465)(191, 431, 204, 444, 231, 471, 228, 468)(193, 433, 218, 458, 196, 436, 230, 470)(202, 442, 224, 464, 233, 473, 212, 452)(227, 467, 238, 478, 239, 479, 236, 476)(229, 469, 237, 477, 240, 480, 235, 475)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 495)(7, 497)(8, 482)(9, 484)(10, 504)(11, 499)(12, 506)(13, 508)(14, 485)(15, 511)(16, 486)(17, 516)(18, 513)(19, 518)(20, 488)(21, 521)(22, 489)(23, 491)(24, 527)(25, 522)(26, 530)(27, 493)(28, 532)(29, 534)(30, 494)(31, 538)(32, 501)(33, 540)(34, 496)(35, 498)(36, 546)(37, 509)(38, 548)(39, 550)(40, 500)(41, 553)(42, 555)(43, 502)(44, 558)(45, 503)(46, 505)(47, 564)(48, 559)(49, 507)(50, 569)(51, 541)(52, 572)(53, 543)(54, 574)(55, 576)(56, 510)(57, 512)(58, 582)(59, 519)(60, 584)(61, 586)(62, 514)(63, 589)(64, 515)(65, 517)(66, 595)(67, 590)(68, 598)(69, 579)(70, 600)(71, 602)(72, 520)(73, 606)(74, 524)(75, 608)(76, 610)(77, 523)(78, 613)(79, 593)(80, 525)(81, 616)(82, 526)(83, 528)(84, 621)(85, 617)(86, 622)(87, 529)(88, 531)(89, 626)(90, 618)(91, 533)(92, 611)(93, 535)(94, 599)(95, 628)(96, 625)(97, 633)(98, 536)(99, 634)(100, 537)(101, 539)(102, 640)(103, 635)(104, 643)(105, 566)(106, 645)(107, 647)(108, 542)(109, 650)(110, 638)(111, 544)(112, 653)(113, 545)(114, 547)(115, 656)(116, 560)(117, 549)(118, 577)(119, 551)(120, 644)(121, 657)(122, 563)(123, 662)(124, 552)(125, 554)(126, 648)(127, 556)(128, 573)(129, 663)(130, 639)(131, 668)(132, 557)(133, 671)(134, 561)(135, 654)(136, 673)(137, 567)(138, 562)(139, 661)(140, 565)(141, 578)(142, 676)(143, 677)(144, 568)(145, 570)(146, 669)(147, 636)(148, 680)(149, 571)(150, 681)(151, 575)(152, 659)(153, 655)(154, 684)(155, 624)(156, 580)(157, 687)(158, 581)(159, 583)(160, 690)(161, 591)(162, 585)(163, 603)(164, 587)(165, 607)(166, 691)(167, 594)(168, 696)(169, 588)(170, 698)(171, 592)(172, 688)(173, 700)(174, 695)(175, 596)(176, 604)(177, 701)(178, 597)(179, 702)(180, 601)(181, 693)(182, 689)(183, 705)(184, 605)(185, 703)(186, 609)(187, 630)(188, 620)(189, 612)(190, 614)(191, 686)(192, 615)(193, 709)(194, 619)(195, 623)(196, 699)(197, 708)(198, 632)(199, 627)(200, 707)(201, 692)(202, 629)(203, 631)(204, 672)(205, 637)(206, 678)(207, 712)(208, 667)(209, 641)(210, 649)(211, 713)(212, 642)(213, 682)(214, 646)(215, 665)(216, 679)(217, 651)(218, 674)(219, 652)(220, 716)(221, 715)(222, 664)(223, 658)(224, 660)(225, 717)(226, 666)(227, 670)(228, 718)(229, 683)(230, 675)(231, 685)(232, 720)(233, 719)(234, 694)(235, 697)(236, 704)(237, 710)(238, 706)(239, 711)(240, 714)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E21.3120
Graph:: simple bipartite
	v = 300 e = 480 f = 140
	degree seq :: [ 2^240, 8^60 ]

E21.3124 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 12})
Quotient :: halfedge
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^4, (X1^3 * X2 * X1)^2, (X1^3 * X2 * X1)^2, (X1^3 * X2 * X1)^2, X1^12, (X2 * X1 * X2 * X1^-1 * X2 * X1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 132, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 128, 130, 81, 58, 30, 14)(9, 19, 38, 71, 117, 136, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 125, 129, 90, 52, 26)(16, 33, 63, 107, 70, 84, 134, 188, 157, 111, 65, 34)(17, 35, 66, 100, 131, 185, 158, 102, 60, 95, 55, 28)(29, 56, 96, 145, 184, 182, 127, 77, 91, 140, 87, 50)(32, 61, 103, 69, 36, 68, 115, 174, 186, 162, 106, 62)(39, 73, 120, 133, 83, 51, 88, 141, 192, 180, 122, 74)(54, 92, 146, 99, 57, 98, 155, 210, 183, 206, 149, 93)(64, 109, 166, 215, 224, 202, 152, 116, 163, 194, 139, 104)(67, 113, 171, 207, 151, 105, 160, 212, 223, 221, 173, 114)(72, 118, 175, 124, 75, 123, 172, 191, 135, 190, 176, 119)(86, 137, 193, 144, 89, 143, 201, 181, 126, 167, 196, 138)(94, 150, 121, 178, 211, 227, 198, 156, 112, 170, 187, 147)(97, 153, 208, 159, 197, 148, 204, 161, 214, 234, 209, 154)(108, 164, 216, 169, 110, 168, 218, 226, 189, 225, 217, 165)(142, 199, 229, 203, 177, 195, 228, 205, 179, 222, 230, 200)(213, 231, 238, 236, 219, 232, 239, 237, 220, 233, 240, 235)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 104)(62, 105)(63, 108)(65, 110)(66, 112)(68, 116)(69, 113)(71, 111)(74, 121)(76, 126)(78, 102)(79, 117)(80, 129)(82, 131)(85, 135)(87, 139)(88, 142)(90, 145)(92, 147)(93, 148)(95, 151)(96, 152)(98, 156)(99, 153)(101, 157)(103, 159)(106, 161)(107, 163)(109, 167)(114, 172)(115, 154)(118, 150)(119, 168)(120, 177)(122, 179)(123, 170)(124, 164)(125, 180)(127, 166)(128, 183)(130, 184)(132, 186)(133, 187)(134, 189)(136, 192)(137, 194)(138, 195)(140, 197)(141, 198)(143, 202)(144, 199)(146, 203)(149, 205)(155, 200)(158, 211)(160, 213)(162, 215)(165, 193)(169, 196)(171, 219)(173, 220)(174, 221)(175, 207)(176, 212)(178, 206)(181, 222)(182, 214)(185, 223)(188, 224)(190, 227)(191, 225)(201, 226)(204, 231)(208, 232)(209, 233)(210, 234)(216, 236)(217, 237)(218, 235)(228, 238)(229, 239)(230, 240)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 120 f = 60
	degree seq :: [ 12^20 ]

E21.3125 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 12})
Quotient :: halfedge
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-2 * X2 * X1 * X2 * X1)^2, (X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1)^2, (X1^-1 * X2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 114, 72)(45, 74, 92, 75)(46, 76, 89, 77)(47, 78, 122, 79)(52, 86, 126, 87)(60, 98, 85, 99)(61, 100, 137, 101)(63, 103, 84, 104)(64, 105, 81, 106)(66, 108, 133, 109)(67, 110, 128, 97)(68, 111, 129, 96)(73, 117, 134, 95)(82, 124, 158, 125)(90, 130, 162, 131)(102, 140, 161, 127)(107, 145, 123, 132)(112, 147, 121, 148)(113, 149, 163, 150)(115, 152, 120, 153)(116, 154, 118, 155)(119, 156, 164, 157)(135, 166, 144, 167)(136, 168, 159, 169)(138, 171, 143, 172)(139, 173, 141, 174)(142, 175, 160, 176)(146, 170, 189, 178)(151, 165, 190, 177)(179, 201, 186, 202)(180, 203, 187, 204)(181, 205, 185, 206)(182, 207, 183, 208)(184, 209, 188, 210)(191, 211, 198, 212)(192, 213, 199, 214)(193, 215, 197, 216)(194, 217, 195, 218)(196, 219, 200, 220)(221, 234, 228, 235)(222, 238, 229, 231)(223, 232, 227, 239)(224, 237, 225, 233)(226, 236, 230, 240)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 112)(70, 113)(71, 115)(72, 116)(74, 118)(75, 119)(76, 120)(77, 121)(78, 123)(79, 111)(80, 110)(83, 108)(86, 127)(87, 128)(88, 129)(91, 132)(94, 133)(98, 135)(99, 136)(100, 138)(101, 139)(103, 141)(104, 142)(105, 143)(106, 144)(109, 146)(114, 151)(117, 126)(122, 140)(124, 159)(125, 160)(130, 163)(131, 164)(134, 165)(137, 170)(145, 177)(147, 179)(148, 180)(149, 181)(150, 182)(152, 183)(153, 184)(154, 185)(155, 186)(156, 187)(157, 188)(158, 178)(161, 189)(162, 190)(166, 191)(167, 192)(168, 193)(169, 194)(171, 195)(172, 196)(173, 197)(174, 198)(175, 199)(176, 200)(201, 221)(202, 222)(203, 223)(204, 224)(205, 225)(206, 226)(207, 227)(208, 228)(209, 229)(210, 230)(211, 231)(212, 232)(213, 233)(214, 234)(215, 235)(216, 236)(217, 237)(218, 238)(219, 239)(220, 240)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 60 e = 120 f = 20
	degree seq :: [ 4^60 ]

E21.3126 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2 * X1 * X2 * X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2^-2 * X1, (X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1)^2, (X2^-1 * X1)^12 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 98)(68, 103)(69, 90)(71, 114)(73, 105)(74, 118)(76, 100)(77, 87)(79, 97)(81, 124)(82, 89)(84, 94)(92, 133)(95, 137)(102, 143)(107, 145)(108, 146)(109, 147)(110, 149)(111, 136)(112, 150)(113, 151)(115, 154)(116, 155)(117, 130)(119, 153)(120, 140)(121, 139)(122, 158)(123, 160)(125, 152)(126, 161)(127, 162)(128, 163)(129, 165)(131, 166)(132, 167)(134, 170)(135, 171)(138, 169)(141, 174)(142, 176)(144, 168)(148, 172)(156, 164)(157, 175)(159, 173)(177, 201)(178, 202)(179, 203)(180, 204)(181, 205)(182, 206)(183, 207)(184, 208)(185, 209)(186, 210)(187, 200)(188, 199)(189, 211)(190, 212)(191, 213)(192, 214)(193, 215)(194, 216)(195, 217)(196, 218)(197, 219)(198, 220)(221, 234)(222, 235)(223, 238)(224, 231)(225, 232)(226, 239)(227, 237)(228, 233)(229, 236)(230, 240)(241, 243, 248, 244)(242, 245, 251, 246)(247, 253, 264, 254)(249, 256, 269, 257)(250, 258, 272, 259)(252, 261, 277, 262)(255, 266, 285, 267)(260, 274, 298, 275)(263, 279, 306, 280)(265, 282, 311, 283)(268, 287, 319, 288)(270, 290, 324, 291)(271, 292, 327, 293)(273, 295, 332, 296)(276, 300, 340, 301)(278, 303, 345, 304)(281, 308, 351, 309)(284, 313, 357, 314)(286, 316, 361, 317)(289, 321, 365, 322)(294, 329, 370, 330)(297, 334, 376, 335)(299, 337, 380, 338)(302, 342, 384, 343)(305, 347, 325, 348)(307, 349, 388, 350)(310, 352, 323, 353)(312, 355, 318, 356)(315, 359, 383, 360)(320, 362, 399, 363)(326, 366, 346, 367)(328, 368, 404, 369)(331, 371, 344, 372)(333, 374, 339, 375)(336, 378, 364, 379)(341, 381, 415, 382)(354, 392, 427, 393)(358, 396, 428, 397)(373, 408, 439, 409)(377, 412, 440, 413)(385, 417, 395, 418)(386, 419, 398, 420)(387, 421, 394, 422)(389, 423, 390, 424)(391, 425, 400, 426)(401, 429, 411, 430)(402, 431, 414, 432)(403, 433, 410, 434)(405, 435, 406, 436)(407, 437, 416, 438)(441, 461, 448, 462)(442, 463, 449, 464)(443, 465, 447, 466)(444, 467, 445, 468)(446, 469, 450, 470)(451, 471, 458, 472)(452, 473, 459, 474)(453, 475, 457, 476)(454, 477, 455, 478)(456, 479, 460, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 180 e = 240 f = 20
	degree seq :: [ 2^120, 4^60 ]

E21.3127 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, (X2^-3 * X1)^2, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X2^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 73, 39)(20, 43, 81, 41)(22, 47, 86, 45)(24, 51, 83, 44)(26, 46, 87, 55)(27, 56, 102, 58)(30, 62, 79, 40)(32, 57, 104, 63)(33, 65, 113, 67)(36, 71, 121, 69)(38, 75, 123, 72)(42, 82, 119, 68)(48, 66, 115, 89)(50, 94, 114, 92)(52, 84, 116, 91)(53, 93, 138, 98)(54, 99, 118, 100)(59, 70, 122, 106)(60, 107, 158, 109)(64, 76, 124, 105)(74, 127, 103, 125)(77, 126, 172, 131)(78, 132, 90, 133)(80, 135, 182, 137)(85, 141, 189, 143)(88, 134, 110, 144)(95, 142, 190, 149)(96, 151, 188, 139)(97, 147, 191, 150)(101, 145, 168, 117)(108, 160, 176, 128)(111, 156, 202, 164)(112, 161, 177, 130)(120, 169, 212, 171)(129, 178, 159, 173)(136, 184, 148, 165)(140, 185, 207, 167)(146, 166, 208, 183)(152, 196, 223, 199)(153, 198, 228, 200)(154, 186, 211, 192)(155, 170, 213, 175)(157, 174, 214, 201)(162, 181, 215, 193)(163, 206, 216, 204)(179, 217, 235, 220)(180, 219, 236, 221)(187, 224, 194, 222)(195, 227, 237, 226)(197, 225, 233, 209)(203, 218, 205, 231)(210, 232, 229, 234)(230, 238, 240, 239)(241, 243, 250, 264, 292, 337, 393, 352, 304, 272, 254, 245)(242, 247, 257, 278, 316, 370, 420, 380, 324, 284, 260, 248)(244, 252, 267, 297, 345, 397, 435, 387, 331, 288, 262, 249)(246, 255, 273, 306, 356, 407, 450, 414, 364, 312, 276, 256)(251, 266, 294, 271, 303, 351, 403, 438, 390, 335, 290, 263)(253, 269, 300, 348, 401, 440, 392, 336, 291, 265, 293, 270)(258, 280, 318, 283, 323, 379, 427, 459, 417, 368, 314, 277)(259, 281, 320, 376, 425, 461, 419, 369, 315, 279, 317, 282)(261, 285, 325, 382, 431, 466, 443, 396, 344, 298, 328, 286)(268, 299, 330, 287, 329, 386, 434, 467, 441, 395, 343, 296)(274, 308, 358, 311, 363, 413, 456, 472, 447, 405, 354, 305)(275, 309, 360, 410, 454, 474, 449, 406, 355, 307, 357, 310)(289, 332, 388, 436, 468, 444, 399, 347, 301, 340, 359, 333)(295, 341, 353, 334, 389, 437, 469, 446, 404, 409, 361, 339)(302, 338, 394, 429, 391, 439, 470, 445, 400, 349, 402, 350)(313, 365, 415, 457, 476, 462, 423, 375, 321, 373, 346, 366)(319, 374, 342, 367, 416, 458, 477, 464, 428, 381, 326, 372)(322, 371, 421, 398, 418, 460, 478, 463, 424, 377, 426, 378)(327, 384, 433, 452, 442, 471, 479, 465, 430, 383, 432, 385)(362, 408, 451, 422, 448, 473, 480, 475, 453, 411, 455, 412)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: chiral
Dual of E21.3129
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 4^60, 12^20 ]

E21.3128 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^4, (X1^-3 * X2 * X1^-1)^2, X1^12, X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-2 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 132, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 128, 130, 81, 58, 30, 14)(9, 19, 38, 71, 117, 136, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 125, 129, 90, 52, 26)(16, 33, 63, 107, 70, 84, 134, 188, 157, 111, 65, 34)(17, 35, 66, 100, 131, 185, 158, 102, 60, 95, 55, 28)(29, 56, 96, 145, 184, 182, 127, 77, 91, 140, 87, 50)(32, 61, 103, 69, 36, 68, 115, 174, 186, 162, 106, 62)(39, 73, 120, 133, 83, 51, 88, 141, 192, 180, 122, 74)(54, 92, 146, 99, 57, 98, 155, 210, 183, 206, 149, 93)(64, 109, 166, 215, 224, 202, 152, 116, 163, 194, 139, 104)(67, 113, 171, 207, 151, 105, 160, 212, 223, 221, 173, 114)(72, 118, 175, 124, 75, 123, 172, 191, 135, 190, 176, 119)(86, 137, 193, 144, 89, 143, 201, 181, 126, 167, 196, 138)(94, 150, 121, 178, 211, 227, 198, 156, 112, 170, 187, 147)(97, 153, 208, 159, 197, 148, 204, 161, 214, 234, 209, 154)(108, 164, 216, 169, 110, 168, 218, 226, 189, 225, 217, 165)(142, 199, 229, 203, 177, 195, 228, 205, 179, 222, 230, 200)(213, 231, 238, 236, 219, 232, 239, 237, 220, 233, 240, 235)(241, 243)(242, 246)(244, 249)(245, 252)(247, 256)(248, 257)(250, 261)(251, 264)(253, 268)(254, 269)(255, 272)(258, 276)(259, 279)(260, 273)(262, 283)(263, 286)(265, 290)(266, 291)(267, 294)(270, 297)(271, 300)(274, 304)(275, 307)(277, 310)(278, 312)(280, 315)(281, 317)(282, 313)(284, 299)(285, 321)(287, 323)(288, 324)(289, 326)(292, 329)(293, 331)(295, 334)(296, 337)(298, 340)(301, 344)(302, 345)(303, 348)(305, 350)(306, 352)(308, 356)(309, 353)(311, 351)(314, 361)(316, 366)(318, 342)(319, 357)(320, 369)(322, 371)(325, 375)(327, 379)(328, 382)(330, 385)(332, 387)(333, 388)(335, 391)(336, 392)(338, 396)(339, 393)(341, 397)(343, 399)(346, 401)(347, 403)(349, 407)(354, 412)(355, 394)(358, 390)(359, 408)(360, 417)(362, 419)(363, 410)(364, 404)(365, 420)(367, 406)(368, 423)(370, 424)(372, 426)(373, 427)(374, 429)(376, 432)(377, 434)(378, 435)(380, 437)(381, 438)(383, 442)(384, 439)(386, 443)(389, 445)(395, 440)(398, 451)(400, 453)(402, 455)(405, 433)(409, 436)(411, 459)(413, 460)(414, 461)(415, 447)(416, 452)(418, 446)(421, 462)(422, 454)(425, 463)(428, 464)(430, 467)(431, 465)(441, 466)(444, 471)(448, 472)(449, 473)(450, 474)(456, 476)(457, 477)(458, 475)(468, 478)(469, 479)(470, 480)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 140 e = 240 f = 60
	degree seq :: [ 2^120, 12^20 ]

E21.3129 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2 * X1 * X2 * X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2^-2 * X1, (X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1)^2, (X2^-1 * X1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 10, 250)(6, 246, 12, 252)(8, 248, 15, 255)(11, 251, 20, 260)(13, 253, 23, 263)(14, 254, 25, 265)(16, 256, 28, 268)(17, 257, 30, 270)(18, 258, 31, 271)(19, 259, 33, 273)(21, 261, 36, 276)(22, 262, 38, 278)(24, 264, 41, 281)(26, 266, 44, 284)(27, 267, 46, 286)(29, 269, 49, 289)(32, 272, 54, 294)(34, 274, 57, 297)(35, 275, 59, 299)(37, 277, 62, 302)(39, 279, 65, 305)(40, 280, 67, 307)(42, 282, 70, 310)(43, 283, 72, 312)(45, 285, 75, 315)(47, 287, 78, 318)(48, 288, 80, 320)(50, 290, 83, 323)(51, 291, 85, 325)(52, 292, 86, 326)(53, 293, 88, 328)(55, 295, 91, 331)(56, 296, 93, 333)(58, 298, 96, 336)(60, 300, 99, 339)(61, 301, 101, 341)(63, 303, 104, 344)(64, 304, 106, 346)(66, 306, 98, 338)(68, 308, 103, 343)(69, 309, 90, 330)(71, 311, 114, 354)(73, 313, 105, 345)(74, 314, 118, 358)(76, 316, 100, 340)(77, 317, 87, 327)(79, 319, 97, 337)(81, 321, 124, 364)(82, 322, 89, 329)(84, 324, 94, 334)(92, 332, 133, 373)(95, 335, 137, 377)(102, 342, 143, 383)(107, 347, 145, 385)(108, 348, 146, 386)(109, 349, 147, 387)(110, 350, 149, 389)(111, 351, 136, 376)(112, 352, 150, 390)(113, 353, 151, 391)(115, 355, 154, 394)(116, 356, 155, 395)(117, 357, 130, 370)(119, 359, 153, 393)(120, 360, 140, 380)(121, 361, 139, 379)(122, 362, 158, 398)(123, 363, 160, 400)(125, 365, 152, 392)(126, 366, 161, 401)(127, 367, 162, 402)(128, 368, 163, 403)(129, 369, 165, 405)(131, 371, 166, 406)(132, 372, 167, 407)(134, 374, 170, 410)(135, 375, 171, 411)(138, 378, 169, 409)(141, 381, 174, 414)(142, 382, 176, 416)(144, 384, 168, 408)(148, 388, 172, 412)(156, 396, 164, 404)(157, 397, 175, 415)(159, 399, 173, 413)(177, 417, 201, 441)(178, 418, 202, 442)(179, 419, 203, 443)(180, 420, 204, 444)(181, 421, 205, 445)(182, 422, 206, 446)(183, 423, 207, 447)(184, 424, 208, 448)(185, 425, 209, 449)(186, 426, 210, 450)(187, 427, 200, 440)(188, 428, 199, 439)(189, 429, 211, 451)(190, 430, 212, 452)(191, 431, 213, 453)(192, 432, 214, 454)(193, 433, 215, 455)(194, 434, 216, 456)(195, 435, 217, 457)(196, 436, 218, 458)(197, 437, 219, 459)(198, 438, 220, 460)(221, 461, 234, 474)(222, 462, 235, 475)(223, 463, 238, 478)(224, 464, 231, 471)(225, 465, 232, 472)(226, 466, 239, 479)(227, 467, 237, 477)(228, 468, 233, 473)(229, 469, 236, 476)(230, 470, 240, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 251)(6, 242)(7, 253)(8, 244)(9, 256)(10, 258)(11, 246)(12, 261)(13, 264)(14, 247)(15, 266)(16, 269)(17, 249)(18, 272)(19, 250)(20, 274)(21, 277)(22, 252)(23, 279)(24, 254)(25, 282)(26, 285)(27, 255)(28, 287)(29, 257)(30, 290)(31, 292)(32, 259)(33, 295)(34, 298)(35, 260)(36, 300)(37, 262)(38, 303)(39, 306)(40, 263)(41, 308)(42, 311)(43, 265)(44, 313)(45, 267)(46, 316)(47, 319)(48, 268)(49, 321)(50, 324)(51, 270)(52, 327)(53, 271)(54, 329)(55, 332)(56, 273)(57, 334)(58, 275)(59, 337)(60, 340)(61, 276)(62, 342)(63, 345)(64, 278)(65, 347)(66, 280)(67, 349)(68, 351)(69, 281)(70, 352)(71, 283)(72, 355)(73, 357)(74, 284)(75, 359)(76, 361)(77, 286)(78, 356)(79, 288)(80, 362)(81, 365)(82, 289)(83, 353)(84, 291)(85, 348)(86, 366)(87, 293)(88, 368)(89, 370)(90, 294)(91, 371)(92, 296)(93, 374)(94, 376)(95, 297)(96, 378)(97, 380)(98, 299)(99, 375)(100, 301)(101, 381)(102, 384)(103, 302)(104, 372)(105, 304)(106, 367)(107, 325)(108, 305)(109, 388)(110, 307)(111, 309)(112, 323)(113, 310)(114, 392)(115, 318)(116, 312)(117, 314)(118, 396)(119, 383)(120, 315)(121, 317)(122, 399)(123, 320)(124, 379)(125, 322)(126, 346)(127, 326)(128, 404)(129, 328)(130, 330)(131, 344)(132, 331)(133, 408)(134, 339)(135, 333)(136, 335)(137, 412)(138, 364)(139, 336)(140, 338)(141, 415)(142, 341)(143, 360)(144, 343)(145, 417)(146, 419)(147, 421)(148, 350)(149, 423)(150, 424)(151, 425)(152, 427)(153, 354)(154, 422)(155, 418)(156, 428)(157, 358)(158, 420)(159, 363)(160, 426)(161, 429)(162, 431)(163, 433)(164, 369)(165, 435)(166, 436)(167, 437)(168, 439)(169, 373)(170, 434)(171, 430)(172, 440)(173, 377)(174, 432)(175, 382)(176, 438)(177, 395)(178, 385)(179, 398)(180, 386)(181, 394)(182, 387)(183, 390)(184, 389)(185, 400)(186, 391)(187, 393)(188, 397)(189, 411)(190, 401)(191, 414)(192, 402)(193, 410)(194, 403)(195, 406)(196, 405)(197, 416)(198, 407)(199, 409)(200, 413)(201, 461)(202, 463)(203, 465)(204, 467)(205, 468)(206, 469)(207, 466)(208, 462)(209, 464)(210, 470)(211, 471)(212, 473)(213, 475)(214, 477)(215, 478)(216, 479)(217, 476)(218, 472)(219, 474)(220, 480)(221, 448)(222, 441)(223, 449)(224, 442)(225, 447)(226, 443)(227, 445)(228, 444)(229, 450)(230, 446)(231, 458)(232, 451)(233, 459)(234, 452)(235, 457)(236, 453)(237, 455)(238, 454)(239, 460)(240, 456)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: chiral
Dual of E21.3127
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.3130 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, (X2^-3 * X1)^2, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X2^12 ]
Map::
	R = (1, 241, 2, 242, 6, 246, 4, 244)(3, 243, 9, 249, 21, 261, 11, 251)(5, 245, 13, 253, 18, 258, 7, 247)(8, 248, 19, 259, 34, 274, 15, 255)(10, 250, 23, 263, 49, 289, 25, 265)(12, 252, 16, 256, 35, 275, 28, 268)(14, 254, 31, 271, 61, 301, 29, 269)(17, 257, 37, 277, 73, 313, 39, 279)(20, 260, 43, 283, 81, 321, 41, 281)(22, 262, 47, 287, 86, 326, 45, 285)(24, 264, 51, 291, 83, 323, 44, 284)(26, 266, 46, 286, 87, 327, 55, 295)(27, 267, 56, 296, 102, 342, 58, 298)(30, 270, 62, 302, 79, 319, 40, 280)(32, 272, 57, 297, 104, 344, 63, 303)(33, 273, 65, 305, 113, 353, 67, 307)(36, 276, 71, 311, 121, 361, 69, 309)(38, 278, 75, 315, 123, 363, 72, 312)(42, 282, 82, 322, 119, 359, 68, 308)(48, 288, 66, 306, 115, 355, 89, 329)(50, 290, 94, 334, 114, 354, 92, 332)(52, 292, 84, 324, 116, 356, 91, 331)(53, 293, 93, 333, 138, 378, 98, 338)(54, 294, 99, 339, 118, 358, 100, 340)(59, 299, 70, 310, 122, 362, 106, 346)(60, 300, 107, 347, 158, 398, 109, 349)(64, 304, 76, 316, 124, 364, 105, 345)(74, 314, 127, 367, 103, 343, 125, 365)(77, 317, 126, 366, 172, 412, 131, 371)(78, 318, 132, 372, 90, 330, 133, 373)(80, 320, 135, 375, 182, 422, 137, 377)(85, 325, 141, 381, 189, 429, 143, 383)(88, 328, 134, 374, 110, 350, 144, 384)(95, 335, 142, 382, 190, 430, 149, 389)(96, 336, 151, 391, 188, 428, 139, 379)(97, 337, 147, 387, 191, 431, 150, 390)(101, 341, 145, 385, 168, 408, 117, 357)(108, 348, 160, 400, 176, 416, 128, 368)(111, 351, 156, 396, 202, 442, 164, 404)(112, 352, 161, 401, 177, 417, 130, 370)(120, 360, 169, 409, 212, 452, 171, 411)(129, 369, 178, 418, 159, 399, 173, 413)(136, 376, 184, 424, 148, 388, 165, 405)(140, 380, 185, 425, 207, 447, 167, 407)(146, 386, 166, 406, 208, 448, 183, 423)(152, 392, 196, 436, 223, 463, 199, 439)(153, 393, 198, 438, 228, 468, 200, 440)(154, 394, 186, 426, 211, 451, 192, 432)(155, 395, 170, 410, 213, 453, 175, 415)(157, 397, 174, 414, 214, 454, 201, 441)(162, 402, 181, 421, 215, 455, 193, 433)(163, 403, 206, 446, 216, 456, 204, 444)(179, 419, 217, 457, 235, 475, 220, 460)(180, 420, 219, 459, 236, 476, 221, 461)(187, 427, 224, 464, 194, 434, 222, 462)(195, 435, 227, 467, 237, 477, 226, 466)(197, 437, 225, 465, 233, 473, 209, 449)(203, 443, 218, 458, 205, 445, 231, 471)(210, 450, 232, 472, 229, 469, 234, 474)(230, 470, 238, 478, 240, 480, 239, 479)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 255)(7, 257)(8, 242)(9, 244)(10, 264)(11, 266)(12, 267)(13, 269)(14, 245)(15, 273)(16, 246)(17, 278)(18, 280)(19, 281)(20, 248)(21, 285)(22, 249)(23, 251)(24, 292)(25, 293)(26, 294)(27, 297)(28, 299)(29, 300)(30, 253)(31, 303)(32, 254)(33, 306)(34, 308)(35, 309)(36, 256)(37, 258)(38, 316)(39, 317)(40, 318)(41, 320)(42, 259)(43, 323)(44, 260)(45, 325)(46, 261)(47, 329)(48, 262)(49, 332)(50, 263)(51, 265)(52, 337)(53, 270)(54, 271)(55, 341)(56, 268)(57, 345)(58, 328)(59, 330)(60, 348)(61, 340)(62, 338)(63, 351)(64, 272)(65, 274)(66, 356)(67, 357)(68, 358)(69, 360)(70, 275)(71, 363)(72, 276)(73, 365)(74, 277)(75, 279)(76, 370)(77, 282)(78, 283)(79, 374)(80, 376)(81, 373)(82, 371)(83, 379)(84, 284)(85, 382)(86, 372)(87, 384)(88, 286)(89, 386)(90, 287)(91, 288)(92, 388)(93, 289)(94, 389)(95, 290)(96, 291)(97, 393)(98, 394)(99, 295)(100, 359)(101, 353)(102, 367)(103, 296)(104, 298)(105, 397)(106, 366)(107, 301)(108, 401)(109, 402)(110, 302)(111, 403)(112, 304)(113, 334)(114, 305)(115, 307)(116, 407)(117, 310)(118, 311)(119, 333)(120, 410)(121, 339)(122, 408)(123, 413)(124, 312)(125, 415)(126, 313)(127, 416)(128, 314)(129, 315)(130, 420)(131, 421)(132, 319)(133, 346)(134, 342)(135, 321)(136, 425)(137, 426)(138, 322)(139, 427)(140, 324)(141, 326)(142, 431)(143, 432)(144, 433)(145, 327)(146, 434)(147, 331)(148, 436)(149, 437)(150, 335)(151, 439)(152, 336)(153, 352)(154, 429)(155, 343)(156, 344)(157, 435)(158, 418)(159, 347)(160, 349)(161, 440)(162, 350)(163, 438)(164, 409)(165, 354)(166, 355)(167, 450)(168, 451)(169, 361)(170, 454)(171, 455)(172, 362)(173, 456)(174, 364)(175, 457)(176, 458)(177, 368)(178, 460)(179, 369)(180, 380)(181, 398)(182, 448)(183, 375)(184, 377)(185, 461)(186, 378)(187, 459)(188, 381)(189, 391)(190, 383)(191, 466)(192, 385)(193, 452)(194, 467)(195, 387)(196, 468)(197, 469)(198, 390)(199, 470)(200, 392)(201, 395)(202, 471)(203, 396)(204, 399)(205, 400)(206, 404)(207, 405)(208, 473)(209, 406)(210, 414)(211, 422)(212, 442)(213, 411)(214, 474)(215, 412)(216, 472)(217, 476)(218, 477)(219, 417)(220, 478)(221, 419)(222, 423)(223, 424)(224, 428)(225, 430)(226, 443)(227, 441)(228, 444)(229, 446)(230, 445)(231, 479)(232, 447)(233, 480)(234, 449)(235, 453)(236, 462)(237, 464)(238, 463)(239, 465)(240, 475)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 60 e = 240 f = 140
	degree seq :: [ 8^60 ]

E21.3131 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
Aut   = (C6 x (C5 : C4)) : C2 (small group id <240, 96>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^4, (X1^-3 * X2 * X1^-1)^2, X1^12, X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-2 ]
Map::
	R = (1, 241, 2, 242, 5, 245, 11, 251, 23, 263, 45, 285, 80, 320, 79, 319, 44, 284, 22, 262, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 31, 271, 59, 299, 101, 341, 132, 372, 82, 322, 46, 286, 37, 277, 18, 258, 8, 248)(6, 246, 13, 253, 27, 267, 53, 293, 43, 283, 78, 318, 128, 368, 130, 370, 81, 321, 58, 298, 30, 270, 14, 254)(9, 249, 19, 259, 38, 278, 71, 311, 117, 357, 136, 376, 85, 325, 48, 288, 24, 264, 47, 287, 40, 280, 20, 260)(12, 252, 25, 265, 49, 289, 42, 282, 21, 261, 41, 281, 76, 316, 125, 365, 129, 369, 90, 330, 52, 292, 26, 266)(16, 256, 33, 273, 63, 303, 107, 347, 70, 310, 84, 324, 134, 374, 188, 428, 157, 397, 111, 351, 65, 305, 34, 274)(17, 257, 35, 275, 66, 306, 100, 340, 131, 371, 185, 425, 158, 398, 102, 342, 60, 300, 95, 335, 55, 295, 28, 268)(29, 269, 56, 296, 96, 336, 145, 385, 184, 424, 182, 422, 127, 367, 77, 317, 91, 331, 140, 380, 87, 327, 50, 290)(32, 272, 61, 301, 103, 343, 69, 309, 36, 276, 68, 308, 115, 355, 174, 414, 186, 426, 162, 402, 106, 346, 62, 302)(39, 279, 73, 313, 120, 360, 133, 373, 83, 323, 51, 291, 88, 328, 141, 381, 192, 432, 180, 420, 122, 362, 74, 314)(54, 294, 92, 332, 146, 386, 99, 339, 57, 297, 98, 338, 155, 395, 210, 450, 183, 423, 206, 446, 149, 389, 93, 333)(64, 304, 109, 349, 166, 406, 215, 455, 224, 464, 202, 442, 152, 392, 116, 356, 163, 403, 194, 434, 139, 379, 104, 344)(67, 307, 113, 353, 171, 411, 207, 447, 151, 391, 105, 345, 160, 400, 212, 452, 223, 463, 221, 461, 173, 413, 114, 354)(72, 312, 118, 358, 175, 415, 124, 364, 75, 315, 123, 363, 172, 412, 191, 431, 135, 375, 190, 430, 176, 416, 119, 359)(86, 326, 137, 377, 193, 433, 144, 384, 89, 329, 143, 383, 201, 441, 181, 421, 126, 366, 167, 407, 196, 436, 138, 378)(94, 334, 150, 390, 121, 361, 178, 418, 211, 451, 227, 467, 198, 438, 156, 396, 112, 352, 170, 410, 187, 427, 147, 387)(97, 337, 153, 393, 208, 448, 159, 399, 197, 437, 148, 388, 204, 444, 161, 401, 214, 454, 234, 474, 209, 449, 154, 394)(108, 348, 164, 404, 216, 456, 169, 409, 110, 350, 168, 408, 218, 458, 226, 466, 189, 429, 225, 465, 217, 457, 165, 405)(142, 382, 199, 439, 229, 469, 203, 443, 177, 417, 195, 435, 228, 468, 205, 445, 179, 419, 222, 462, 230, 470, 200, 440)(213, 453, 231, 471, 238, 478, 236, 476, 219, 459, 232, 472, 239, 479, 237, 477, 220, 460, 233, 473, 240, 480, 235, 475)
	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, 276)(19, 279)(20, 273)(21, 250)(22, 283)(23, 286)(24, 251)(25, 290)(26, 291)(27, 294)(28, 253)(29, 254)(30, 297)(31, 300)(32, 255)(33, 260)(34, 304)(35, 307)(36, 258)(37, 310)(38, 312)(39, 259)(40, 315)(41, 317)(42, 313)(43, 262)(44, 299)(45, 321)(46, 263)(47, 323)(48, 324)(49, 326)(50, 265)(51, 266)(52, 329)(53, 331)(54, 267)(55, 334)(56, 337)(57, 270)(58, 340)(59, 284)(60, 271)(61, 344)(62, 345)(63, 348)(64, 274)(65, 350)(66, 352)(67, 275)(68, 356)(69, 353)(70, 277)(71, 351)(72, 278)(73, 282)(74, 361)(75, 280)(76, 366)(77, 281)(78, 342)(79, 357)(80, 369)(81, 285)(82, 371)(83, 287)(84, 288)(85, 375)(86, 289)(87, 379)(88, 382)(89, 292)(90, 385)(91, 293)(92, 387)(93, 388)(94, 295)(95, 391)(96, 392)(97, 296)(98, 396)(99, 393)(100, 298)(101, 397)(102, 318)(103, 399)(104, 301)(105, 302)(106, 401)(107, 403)(108, 303)(109, 407)(110, 305)(111, 311)(112, 306)(113, 309)(114, 412)(115, 394)(116, 308)(117, 319)(118, 390)(119, 408)(120, 417)(121, 314)(122, 419)(123, 410)(124, 404)(125, 420)(126, 316)(127, 406)(128, 423)(129, 320)(130, 424)(131, 322)(132, 426)(133, 427)(134, 429)(135, 325)(136, 432)(137, 434)(138, 435)(139, 327)(140, 437)(141, 438)(142, 328)(143, 442)(144, 439)(145, 330)(146, 443)(147, 332)(148, 333)(149, 445)(150, 358)(151, 335)(152, 336)(153, 339)(154, 355)(155, 440)(156, 338)(157, 341)(158, 451)(159, 343)(160, 453)(161, 346)(162, 455)(163, 347)(164, 364)(165, 433)(166, 367)(167, 349)(168, 359)(169, 436)(170, 363)(171, 459)(172, 354)(173, 460)(174, 461)(175, 447)(176, 452)(177, 360)(178, 446)(179, 362)(180, 365)(181, 462)(182, 454)(183, 368)(184, 370)(185, 463)(186, 372)(187, 373)(188, 464)(189, 374)(190, 467)(191, 465)(192, 376)(193, 405)(194, 377)(195, 378)(196, 409)(197, 380)(198, 381)(199, 384)(200, 395)(201, 466)(202, 383)(203, 386)(204, 471)(205, 389)(206, 418)(207, 415)(208, 472)(209, 473)(210, 474)(211, 398)(212, 416)(213, 400)(214, 422)(215, 402)(216, 476)(217, 477)(218, 475)(219, 411)(220, 413)(221, 414)(222, 421)(223, 425)(224, 428)(225, 431)(226, 441)(227, 430)(228, 478)(229, 479)(230, 480)(231, 444)(232, 448)(233, 449)(234, 450)(235, 458)(236, 456)(237, 457)(238, 468)(239, 469)(240, 470)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 20 e = 240 f = 180
	degree seq :: [ 24^20 ]

E21.3132 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-1 * X2)^4, (X1^-1 * X2 * X1^-3)^2, (X1 * X2 * X1^-1 * X2 * X1^2)^2, X2 * X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 209, 171, 128, 170, 212, 166)(133, 176, 222, 262, 214, 173, 219, 177)(138, 180, 205, 160, 204, 256, 224, 178)(155, 197, 247, 202, 158, 201, 250, 198)(164, 208, 244, 193, 243, 280, 258, 206)(167, 213, 238, 217, 175, 221, 242, 210)(169, 215, 263, 225, 179, 211, 261, 216)(181, 227, 257, 231, 183, 230, 271, 228)(186, 196, 246, 275, 235, 232, 274, 234)(188, 236, 276, 241, 191, 240, 223, 237)(199, 251, 233, 254, 203, 255, 229, 248)(200, 252, 284, 259, 207, 249, 283, 253)(218, 265, 291, 269, 220, 268, 293, 266)(226, 264, 290, 307, 286, 272, 297, 273)(239, 278, 300, 281, 245, 277, 299, 279)(260, 285, 306, 289, 302, 287, 308, 288)(267, 294, 311, 296, 270, 292, 310, 295)(282, 301, 313, 305, 298, 303, 314, 304)(309, 315, 319, 318, 312, 316, 320, 317)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 210)(166, 211)(168, 214)(170, 217)(171, 215)(172, 218)(174, 220)(177, 223)(180, 226)(182, 229)(184, 232)(185, 233)(187, 235)(189, 238)(190, 239)(192, 242)(194, 243)(195, 245)(197, 248)(198, 249)(201, 254)(202, 252)(205, 257)(208, 260)(209, 244)(212, 258)(213, 236)(216, 264)(219, 267)(221, 240)(222, 270)(224, 271)(225, 272)(227, 255)(228, 265)(230, 251)(231, 268)(234, 250)(237, 277)(241, 278)(246, 282)(247, 275)(253, 285)(256, 286)(259, 287)(261, 289)(262, 276)(263, 288)(266, 292)(269, 294)(273, 293)(274, 298)(279, 301)(280, 302)(281, 303)(283, 305)(284, 304)(290, 309)(291, 307)(295, 299)(296, 300)(297, 312)(306, 315)(308, 316)(310, 318)(311, 317)(313, 319)(314, 320)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E21.3133
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.3133 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1)^2, (X1 * X2)^8, (X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1)^2, X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 115, 72)(45, 74, 119, 75)(46, 76, 89, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 85, 99)(61, 100, 146, 101)(63, 103, 150, 104)(64, 105, 81, 106)(66, 108, 157, 109)(67, 110, 143, 97)(68, 111, 160, 112)(73, 118, 141, 95)(82, 127, 174, 128)(84, 129, 176, 130)(90, 135, 181, 136)(92, 138, 185, 139)(96, 142, 180, 134)(102, 149, 178, 132)(107, 155, 199, 156)(113, 144, 123, 154)(114, 162, 209, 163)(116, 165, 211, 166)(117, 167, 120, 145)(121, 170, 194, 147)(122, 148, 195, 151)(125, 137, 184, 172)(126, 133, 179, 173)(140, 188, 235, 189)(152, 198, 230, 182)(153, 183, 231, 186)(158, 203, 226, 204)(159, 205, 253, 206)(161, 208, 250, 202)(164, 210, 229, 200)(168, 192, 242, 214)(169, 201, 249, 215)(171, 217, 262, 218)(175, 187, 234, 222)(177, 224, 269, 225)(190, 238, 219, 239)(191, 240, 282, 241)(193, 243, 221, 236)(196, 228, 273, 246)(197, 237, 279, 247)(207, 256, 291, 257)(212, 261, 275, 251)(213, 252, 274, 254)(216, 255, 290, 264)(220, 266, 276, 232)(223, 265, 297, 268)(227, 271, 300, 272)(233, 270, 299, 277)(244, 286, 259, 280)(245, 281, 267, 283)(248, 284, 306, 288)(258, 293, 311, 294)(260, 292, 310, 295)(263, 296, 307, 285)(278, 301, 313, 304)(287, 308, 289, 302)(298, 303, 314, 305)(309, 315, 319, 317)(312, 316, 320, 318)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 116)(72, 117)(74, 120)(75, 121)(76, 122)(77, 123)(78, 125)(79, 111)(80, 126)(83, 108)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 144)(99, 145)(100, 147)(101, 148)(103, 151)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(112, 161)(115, 164)(118, 168)(119, 169)(124, 171)(127, 175)(128, 162)(129, 163)(130, 165)(131, 177)(135, 182)(136, 183)(138, 186)(139, 187)(141, 190)(142, 191)(143, 192)(146, 193)(149, 196)(150, 197)(155, 200)(156, 201)(157, 202)(160, 207)(166, 212)(167, 213)(170, 216)(172, 219)(173, 220)(174, 221)(176, 223)(178, 226)(179, 227)(180, 228)(181, 229)(184, 232)(185, 233)(188, 236)(189, 237)(194, 244)(195, 245)(198, 248)(199, 246)(203, 251)(204, 252)(205, 254)(206, 255)(208, 258)(209, 259)(210, 224)(211, 260)(214, 262)(215, 263)(217, 243)(218, 265)(222, 267)(225, 270)(230, 274)(231, 275)(234, 278)(235, 276)(238, 280)(239, 281)(240, 283)(241, 284)(242, 285)(247, 287)(249, 288)(250, 269)(253, 289)(256, 286)(257, 292)(261, 271)(264, 297)(266, 298)(268, 293)(272, 301)(273, 302)(277, 303)(279, 304)(282, 305)(290, 309)(291, 307)(294, 300)(295, 299)(296, 312)(306, 315)(308, 316)(310, 317)(311, 318)(313, 319)(314, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E21.3132
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.3134 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X1 * X2 * X1 * X2^2 * X1 * X2)^2, (X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1)^2, X2^-1 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 98)(68, 103)(69, 112)(71, 115)(73, 105)(74, 119)(76, 122)(77, 87)(79, 124)(81, 127)(82, 89)(84, 94)(90, 136)(92, 139)(95, 143)(97, 146)(100, 148)(102, 151)(107, 131)(108, 141)(109, 150)(110, 153)(111, 156)(113, 154)(114, 160)(116, 163)(117, 132)(118, 158)(120, 162)(121, 167)(123, 170)(125, 172)(126, 133)(128, 175)(129, 134)(130, 137)(135, 178)(138, 182)(140, 185)(142, 180)(144, 184)(145, 189)(147, 192)(149, 194)(152, 197)(155, 199)(157, 202)(159, 204)(161, 207)(164, 206)(165, 209)(166, 212)(168, 210)(169, 215)(171, 217)(173, 219)(174, 220)(176, 223)(177, 224)(179, 227)(181, 229)(183, 232)(186, 231)(187, 234)(188, 237)(190, 235)(191, 240)(193, 242)(195, 244)(196, 245)(198, 248)(200, 250)(201, 251)(203, 252)(205, 254)(208, 257)(211, 259)(213, 239)(214, 238)(216, 262)(218, 263)(221, 265)(222, 253)(225, 270)(226, 271)(228, 272)(230, 274)(233, 277)(236, 279)(241, 282)(243, 283)(246, 285)(247, 273)(249, 287)(255, 290)(256, 291)(258, 281)(260, 294)(261, 278)(264, 296)(266, 295)(267, 269)(268, 289)(275, 300)(276, 301)(280, 304)(284, 306)(286, 305)(288, 299)(292, 310)(293, 312)(297, 309)(298, 311)(302, 314)(303, 316)(307, 313)(308, 315)(317, 319)(318, 320)(321, 323, 328, 324)(322, 325, 331, 326)(327, 333, 344, 334)(329, 336, 349, 337)(330, 338, 352, 339)(332, 341, 357, 342)(335, 346, 365, 347)(340, 354, 378, 355)(343, 359, 386, 360)(345, 362, 391, 363)(348, 367, 399, 368)(350, 370, 404, 371)(351, 372, 407, 373)(353, 375, 412, 376)(356, 380, 420, 381)(358, 383, 425, 384)(361, 388, 431, 389)(364, 393, 438, 394)(366, 396, 443, 397)(369, 401, 448, 402)(374, 409, 455, 410)(377, 414, 462, 415)(379, 417, 467, 418)(382, 422, 472, 423)(385, 427, 405, 428)(387, 429, 475, 430)(390, 433, 479, 434)(392, 436, 398, 437)(395, 440, 486, 441)(400, 445, 493, 446)(403, 449, 496, 450)(406, 451, 426, 452)(408, 453, 497, 454)(411, 457, 501, 458)(413, 460, 419, 461)(416, 464, 508, 465)(421, 469, 515, 470)(424, 473, 518, 474)(432, 477, 523, 478)(435, 481, 528, 482)(439, 484, 531, 485)(442, 488, 534, 489)(444, 487, 533, 491)(447, 490, 536, 494)(456, 499, 548, 500)(459, 503, 553, 504)(463, 506, 556, 507)(466, 510, 559, 511)(468, 509, 558, 513)(471, 512, 561, 516)(476, 520, 547, 521)(480, 525, 575, 526)(483, 529, 578, 530)(492, 535, 581, 538)(495, 541, 588, 542)(498, 545, 522, 546)(502, 550, 595, 551)(505, 554, 598, 555)(514, 560, 601, 563)(517, 566, 608, 567)(519, 569, 594, 570)(524, 571, 543, 573)(527, 572, 609, 576)(532, 580, 602, 562)(537, 557, 600, 582)(539, 584, 617, 585)(540, 586, 618, 587)(544, 589, 574, 590)(549, 591, 568, 593)(552, 592, 619, 596)(564, 604, 627, 605)(565, 606, 628, 607)(577, 612, 625, 603)(579, 613, 626, 614)(583, 597, 622, 615)(599, 623, 616, 624)(610, 629, 637, 630)(611, 631, 638, 632)(620, 633, 639, 634)(621, 635, 640, 636)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Dual of E21.3139
Transitivity :: ET+
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.3135 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X1^4, (X2 * X1^-1 * X2^2)^2, X2^8, X2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1^2 * X2^-2 * X1 * X2^-1 * X1^-2, X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^2 * X1 * X2^-1 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 72, 39)(20, 43, 80, 41)(22, 47, 84, 45)(24, 51, 82, 44)(26, 46, 85, 55)(27, 56, 99, 58)(30, 62, 78, 40)(32, 57, 101, 63)(33, 64, 106, 66)(36, 70, 114, 68)(38, 74, 116, 71)(42, 81, 112, 67)(48, 65, 108, 87)(50, 92, 139, 90)(52, 75, 109, 89)(53, 91, 140, 95)(54, 96, 146, 97)(59, 69, 115, 102)(60, 103, 152, 104)(73, 119, 168, 117)(76, 118, 169, 122)(77, 123, 175, 124)(79, 126, 178, 127)(83, 129, 181, 131)(86, 135, 188, 133)(88, 137, 186, 132)(93, 130, 183, 142)(94, 144, 171, 120)(98, 134, 189, 148)(100, 150, 205, 149)(105, 154, 177, 125)(107, 157, 212, 155)(110, 156, 213, 160)(111, 161, 219, 162)(113, 164, 222, 165)(121, 173, 215, 158)(128, 180, 221, 163)(136, 159, 217, 190)(138, 192, 251, 193)(141, 197, 240, 195)(143, 199, 216, 194)(145, 196, 255, 201)(147, 203, 220, 202)(151, 166, 224, 207)(153, 208, 259, 209)(167, 225, 271, 226)(170, 230, 270, 228)(172, 232, 206, 227)(174, 229, 275, 234)(176, 236, 191, 235)(179, 238, 279, 239)(182, 243, 282, 241)(184, 242, 283, 245)(185, 237, 210, 246)(187, 247, 287, 248)(198, 244, 285, 256)(200, 257, 276, 231)(204, 249, 263, 214)(211, 261, 293, 262)(218, 264, 296, 267)(223, 268, 299, 269)(233, 277, 252, 265)(250, 266, 297, 272)(253, 280, 304, 289)(254, 278, 303, 290)(258, 291, 306, 284)(260, 292, 305, 281)(273, 300, 314, 301)(274, 298, 313, 302)(286, 307, 311, 294)(288, 308, 312, 295)(309, 315, 319, 317)(310, 316, 320, 318)(321, 323, 330, 344, 372, 352, 334, 325)(322, 327, 337, 358, 395, 364, 340, 328)(324, 332, 347, 377, 409, 368, 342, 329)(326, 335, 353, 385, 429, 391, 356, 336)(331, 346, 374, 351, 383, 413, 370, 343)(333, 349, 380, 414, 371, 345, 373, 350)(338, 360, 397, 363, 402, 440, 393, 357)(339, 361, 399, 441, 394, 359, 396, 362)(341, 365, 403, 450, 421, 378, 406, 366)(348, 379, 408, 367, 407, 456, 420, 376)(354, 387, 431, 390, 436, 478, 427, 384)(355, 388, 433, 479, 428, 386, 430, 389)(369, 410, 458, 423, 381, 417, 461, 411)(375, 418, 463, 412, 462, 518, 467, 416)(382, 415, 465, 520, 464, 424, 473, 425)(392, 437, 487, 446, 400, 444, 490, 438)(398, 445, 492, 439, 491, 551, 496, 443)(401, 442, 494, 553, 493, 447, 499, 448)(404, 452, 505, 455, 419, 469, 502, 449)(405, 453, 507, 564, 503, 451, 504, 454)(422, 471, 526, 470, 510, 570, 511, 457)(426, 475, 531, 484, 434, 482, 534, 476)(432, 483, 536, 477, 535, 585, 540, 481)(435, 480, 538, 586, 537, 485, 543, 486)(459, 514, 541, 517, 466, 522, 572, 512)(460, 515, 574, 528, 472, 513, 573, 516)(468, 524, 539, 523, 576, 581, 532, 519)(474, 529, 580, 602, 577, 521, 578, 530)(488, 547, 527, 550, 495, 555, 592, 545)(489, 548, 594, 558, 498, 546, 593, 549)(497, 557, 506, 556, 596, 563, 525, 552)(500, 559, 600, 571, 597, 554, 598, 560)(501, 561, 601, 567, 508, 566, 604, 562)(509, 565, 606, 613, 605, 568, 608, 569)(533, 583, 615, 588, 542, 582, 614, 584)(544, 589, 620, 591, 617, 587, 618, 590)(575, 609, 629, 612, 579, 610, 630, 611)(595, 621, 635, 624, 599, 622, 636, 623)(603, 626, 638, 628, 607, 625, 637, 627)(616, 631, 639, 634, 619, 632, 640, 633)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.3136 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1^-2 * X2 * X1^-2)^2, (X1^-3 * X2 * X1^-1)^2, X1^3 * X2 * X1^-4 * X2 * X1, (X2 * X1^-1 * X2 * X1^3)^2, X2 * X1^2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 209, 171, 128, 170, 212, 166)(133, 176, 222, 265, 214, 173, 219, 177)(138, 180, 205, 160, 204, 256, 224, 178)(155, 197, 247, 202, 158, 201, 250, 198)(164, 208, 244, 193, 243, 281, 258, 206)(167, 213, 263, 217, 175, 221, 261, 210)(169, 215, 239, 225, 179, 211, 245, 216)(181, 227, 260, 231, 183, 230, 270, 228)(186, 196, 246, 275, 235, 232, 262, 234)(188, 236, 276, 241, 191, 240, 226, 237)(199, 251, 284, 254, 203, 255, 283, 248)(200, 252, 218, 259, 207, 249, 220, 253)(223, 267, 292, 264, 291, 305, 293, 266)(229, 271, 296, 272, 233, 273, 295, 269)(238, 278, 301, 279, 242, 280, 300, 277)(257, 287, 306, 285, 268, 294, 307, 286)(274, 290, 310, 297, 299, 289, 309, 298)(282, 304, 313, 302, 288, 308, 314, 303)(311, 315, 319, 317, 312, 316, 320, 318)(321, 323)(322, 326)(324, 329)(325, 332)(327, 336)(328, 337)(330, 341)(331, 344)(333, 348)(334, 349)(335, 352)(338, 356)(339, 359)(340, 353)(342, 363)(343, 364)(345, 368)(346, 369)(347, 372)(350, 375)(351, 377)(354, 381)(355, 384)(357, 387)(358, 388)(360, 391)(361, 392)(362, 389)(365, 393)(366, 394)(367, 395)(370, 398)(371, 399)(373, 402)(374, 405)(376, 408)(378, 410)(379, 411)(380, 414)(382, 416)(383, 417)(385, 420)(386, 418)(390, 424)(396, 430)(397, 432)(400, 436)(401, 437)(403, 440)(404, 441)(406, 444)(407, 442)(409, 445)(412, 448)(413, 449)(415, 453)(419, 458)(421, 460)(422, 454)(423, 462)(425, 464)(426, 450)(427, 465)(428, 467)(429, 468)(431, 471)(433, 474)(434, 472)(435, 475)(438, 478)(439, 480)(443, 484)(446, 487)(447, 489)(451, 493)(452, 495)(455, 496)(456, 498)(457, 499)(459, 501)(461, 503)(463, 506)(466, 508)(469, 511)(470, 513)(473, 516)(476, 519)(477, 520)(479, 523)(481, 524)(482, 526)(483, 527)(485, 530)(486, 531)(488, 534)(490, 537)(491, 535)(492, 538)(494, 540)(497, 543)(500, 546)(502, 549)(504, 552)(505, 553)(507, 555)(509, 558)(510, 559)(512, 562)(514, 563)(515, 565)(517, 568)(518, 569)(521, 574)(522, 572)(525, 577)(528, 580)(529, 566)(532, 582)(533, 584)(536, 557)(539, 570)(541, 586)(542, 567)(544, 588)(545, 561)(547, 589)(548, 579)(550, 592)(551, 573)(554, 594)(556, 597)(560, 599)(564, 602)(571, 605)(575, 606)(576, 596)(578, 608)(581, 609)(583, 610)(585, 611)(587, 604)(590, 601)(591, 617)(593, 618)(595, 619)(598, 622)(600, 623)(603, 625)(607, 621)(612, 631)(613, 632)(614, 620)(615, 624)(616, 628)(626, 635)(627, 636)(629, 637)(630, 638)(633, 639)(634, 640)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.3137 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, (X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2)^2, (X2^-1 * X1)^8, X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-2 * X1, X2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 321, 2, 322)(3, 323, 7, 327)(4, 324, 9, 329)(5, 325, 10, 330)(6, 326, 12, 332)(8, 328, 15, 335)(11, 331, 20, 340)(13, 333, 23, 343)(14, 334, 25, 345)(16, 336, 28, 348)(17, 337, 30, 350)(18, 338, 31, 351)(19, 339, 33, 353)(21, 341, 36, 356)(22, 342, 38, 358)(24, 344, 41, 361)(26, 346, 44, 364)(27, 347, 46, 366)(29, 349, 49, 369)(32, 352, 54, 374)(34, 354, 57, 377)(35, 355, 59, 379)(37, 357, 62, 382)(39, 359, 65, 385)(40, 360, 67, 387)(42, 362, 70, 390)(43, 363, 72, 392)(45, 365, 75, 395)(47, 367, 78, 398)(48, 368, 80, 400)(50, 370, 83, 403)(51, 371, 85, 405)(52, 372, 86, 406)(53, 373, 88, 408)(55, 375, 91, 411)(56, 376, 93, 413)(58, 378, 96, 416)(60, 380, 99, 419)(61, 381, 101, 421)(63, 383, 104, 424)(64, 384, 106, 426)(66, 386, 98, 418)(68, 388, 103, 423)(69, 389, 112, 432)(71, 391, 115, 435)(73, 393, 105, 425)(74, 394, 119, 439)(76, 396, 122, 442)(77, 397, 87, 407)(79, 399, 124, 444)(81, 401, 127, 447)(82, 402, 89, 409)(84, 404, 94, 414)(90, 410, 136, 456)(92, 412, 139, 459)(95, 415, 143, 463)(97, 417, 146, 466)(100, 420, 148, 468)(102, 422, 151, 471)(107, 427, 131, 451)(108, 428, 141, 461)(109, 429, 150, 470)(110, 430, 153, 473)(111, 431, 156, 476)(113, 433, 154, 474)(114, 434, 160, 480)(116, 436, 163, 483)(117, 437, 132, 452)(118, 438, 158, 478)(120, 440, 162, 482)(121, 441, 167, 487)(123, 443, 170, 490)(125, 445, 172, 492)(126, 446, 133, 453)(128, 448, 175, 495)(129, 449, 134, 454)(130, 450, 137, 457)(135, 455, 178, 498)(138, 458, 182, 502)(140, 460, 185, 505)(142, 462, 180, 500)(144, 464, 184, 504)(145, 465, 189, 509)(147, 467, 192, 512)(149, 469, 194, 514)(152, 472, 197, 517)(155, 475, 199, 519)(157, 477, 202, 522)(159, 479, 204, 524)(161, 481, 207, 527)(164, 484, 206, 526)(165, 485, 209, 529)(166, 486, 212, 532)(168, 488, 210, 530)(169, 489, 215, 535)(171, 491, 217, 537)(173, 493, 219, 539)(174, 494, 220, 540)(176, 496, 223, 543)(177, 497, 224, 544)(179, 499, 227, 547)(181, 501, 229, 549)(183, 503, 232, 552)(186, 506, 231, 551)(187, 507, 234, 554)(188, 508, 237, 557)(190, 510, 235, 555)(191, 511, 240, 560)(193, 513, 242, 562)(195, 515, 244, 564)(196, 516, 245, 565)(198, 518, 248, 568)(200, 520, 250, 570)(201, 521, 252, 572)(203, 523, 255, 575)(205, 525, 257, 577)(208, 528, 236, 556)(211, 531, 233, 553)(213, 533, 261, 581)(214, 534, 262, 582)(216, 536, 264, 584)(218, 538, 266, 586)(221, 541, 249, 569)(222, 542, 267, 587)(225, 545, 270, 590)(226, 546, 272, 592)(228, 548, 275, 595)(230, 550, 277, 597)(238, 558, 281, 601)(239, 559, 282, 602)(241, 561, 284, 604)(243, 563, 286, 606)(246, 566, 269, 589)(247, 567, 287, 607)(251, 571, 289, 609)(253, 573, 288, 608)(254, 574, 292, 612)(256, 576, 293, 613)(258, 578, 279, 599)(259, 579, 278, 598)(260, 580, 294, 614)(263, 583, 297, 617)(265, 585, 298, 618)(268, 588, 273, 593)(271, 591, 299, 619)(274, 594, 302, 622)(276, 596, 303, 623)(280, 600, 304, 624)(283, 603, 307, 627)(285, 605, 308, 628)(290, 610, 309, 629)(291, 611, 310, 630)(295, 615, 311, 631)(296, 616, 312, 632)(300, 620, 313, 633)(301, 621, 314, 634)(305, 625, 315, 635)(306, 626, 316, 636)(317, 637, 319, 639)(318, 638, 320, 640)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 331)(6, 322)(7, 333)(8, 324)(9, 336)(10, 338)(11, 326)(12, 341)(13, 344)(14, 327)(15, 346)(16, 349)(17, 329)(18, 352)(19, 330)(20, 354)(21, 357)(22, 332)(23, 359)(24, 334)(25, 362)(26, 365)(27, 335)(28, 367)(29, 337)(30, 370)(31, 372)(32, 339)(33, 375)(34, 378)(35, 340)(36, 380)(37, 342)(38, 383)(39, 386)(40, 343)(41, 388)(42, 391)(43, 345)(44, 393)(45, 347)(46, 396)(47, 399)(48, 348)(49, 401)(50, 404)(51, 350)(52, 407)(53, 351)(54, 409)(55, 412)(56, 353)(57, 414)(58, 355)(59, 417)(60, 420)(61, 356)(62, 422)(63, 425)(64, 358)(65, 427)(66, 360)(67, 429)(68, 431)(69, 361)(70, 433)(71, 363)(72, 436)(73, 438)(74, 364)(75, 440)(76, 443)(77, 366)(78, 437)(79, 368)(80, 445)(81, 448)(82, 369)(83, 449)(84, 371)(85, 428)(86, 451)(87, 373)(88, 453)(89, 455)(90, 374)(91, 457)(92, 376)(93, 460)(94, 462)(95, 377)(96, 464)(97, 467)(98, 379)(99, 461)(100, 381)(101, 469)(102, 472)(103, 382)(104, 473)(105, 384)(106, 452)(107, 405)(108, 385)(109, 475)(110, 387)(111, 389)(112, 477)(113, 479)(114, 390)(115, 481)(116, 398)(117, 392)(118, 394)(119, 484)(120, 486)(121, 395)(122, 488)(123, 397)(124, 487)(125, 493)(126, 400)(127, 490)(128, 402)(129, 496)(130, 403)(131, 426)(132, 406)(133, 497)(134, 408)(135, 410)(136, 499)(137, 501)(138, 411)(139, 503)(140, 419)(141, 413)(142, 415)(143, 506)(144, 508)(145, 416)(146, 510)(147, 418)(148, 509)(149, 515)(150, 421)(151, 512)(152, 423)(153, 518)(154, 424)(155, 430)(156, 520)(157, 523)(158, 432)(159, 434)(160, 525)(161, 528)(162, 435)(163, 529)(164, 531)(165, 439)(166, 441)(167, 533)(168, 534)(169, 442)(170, 536)(171, 444)(172, 535)(173, 446)(174, 447)(175, 541)(176, 450)(177, 454)(178, 545)(179, 548)(180, 456)(181, 458)(182, 550)(183, 553)(184, 459)(185, 554)(186, 556)(187, 463)(188, 465)(189, 558)(190, 559)(191, 466)(192, 561)(193, 468)(194, 560)(195, 470)(196, 471)(197, 566)(198, 474)(199, 569)(200, 571)(201, 476)(202, 573)(203, 478)(204, 572)(205, 578)(206, 480)(207, 575)(208, 482)(209, 579)(210, 483)(211, 485)(212, 552)(213, 491)(214, 489)(215, 583)(216, 494)(217, 585)(218, 492)(219, 570)(220, 567)(221, 565)(222, 495)(223, 587)(224, 589)(225, 591)(226, 498)(227, 593)(228, 500)(229, 592)(230, 598)(231, 502)(232, 595)(233, 504)(234, 599)(235, 505)(236, 507)(237, 527)(238, 513)(239, 511)(240, 603)(241, 516)(242, 605)(243, 514)(244, 590)(245, 542)(246, 540)(247, 517)(248, 607)(249, 539)(250, 519)(251, 521)(252, 610)(253, 611)(254, 522)(255, 600)(256, 524)(257, 612)(258, 526)(259, 530)(260, 532)(261, 597)(262, 614)(263, 538)(264, 537)(265, 609)(266, 608)(267, 606)(268, 543)(269, 564)(270, 544)(271, 546)(272, 620)(273, 621)(274, 547)(275, 580)(276, 549)(277, 622)(278, 551)(279, 555)(280, 557)(281, 577)(282, 624)(283, 563)(284, 562)(285, 619)(286, 588)(287, 586)(288, 568)(289, 584)(290, 576)(291, 574)(292, 625)(293, 626)(294, 623)(295, 581)(296, 582)(297, 631)(298, 632)(299, 604)(300, 596)(301, 594)(302, 615)(303, 616)(304, 613)(305, 601)(306, 602)(307, 635)(308, 636)(309, 617)(310, 618)(311, 637)(312, 638)(313, 627)(314, 628)(315, 639)(316, 640)(317, 629)(318, 630)(319, 633)(320, 634)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.3138 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X1^4, (X2^-1 * X1^-1)^2, (X2^2 * X1^-1 * X2)^2, X2^8, X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1^2 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1^-1 ]
Map::
	R = (1, 321, 2, 322, 6, 326, 4, 324)(3, 323, 9, 329, 21, 341, 11, 331)(5, 325, 13, 333, 18, 338, 7, 327)(8, 328, 19, 339, 34, 354, 15, 335)(10, 330, 23, 343, 49, 369, 25, 345)(12, 332, 16, 336, 35, 355, 28, 348)(14, 334, 31, 351, 61, 381, 29, 349)(17, 337, 37, 357, 72, 392, 39, 359)(20, 340, 43, 363, 80, 400, 41, 361)(22, 342, 47, 367, 84, 404, 45, 365)(24, 344, 51, 371, 82, 402, 44, 364)(26, 346, 46, 366, 85, 405, 55, 375)(27, 347, 56, 376, 99, 419, 58, 378)(30, 350, 62, 382, 78, 398, 40, 360)(32, 352, 57, 377, 101, 421, 63, 383)(33, 353, 64, 384, 106, 426, 66, 386)(36, 356, 70, 390, 114, 434, 68, 388)(38, 358, 74, 394, 116, 436, 71, 391)(42, 362, 81, 401, 112, 432, 67, 387)(48, 368, 65, 385, 108, 428, 87, 407)(50, 370, 92, 412, 139, 459, 90, 410)(52, 372, 75, 395, 109, 429, 89, 409)(53, 373, 91, 411, 140, 460, 95, 415)(54, 374, 96, 416, 146, 466, 97, 417)(59, 379, 69, 389, 115, 435, 102, 422)(60, 380, 103, 423, 152, 472, 104, 424)(73, 393, 119, 439, 168, 488, 117, 437)(76, 396, 118, 438, 169, 489, 122, 442)(77, 397, 123, 443, 175, 495, 124, 444)(79, 399, 126, 446, 178, 498, 127, 447)(83, 403, 129, 449, 181, 501, 131, 451)(86, 406, 135, 455, 188, 508, 133, 453)(88, 408, 137, 457, 186, 506, 132, 452)(93, 413, 130, 450, 183, 503, 142, 462)(94, 414, 144, 464, 171, 491, 120, 440)(98, 418, 134, 454, 189, 509, 148, 468)(100, 420, 150, 470, 205, 525, 149, 469)(105, 425, 154, 474, 177, 497, 125, 445)(107, 427, 157, 477, 212, 532, 155, 475)(110, 430, 156, 476, 213, 533, 160, 480)(111, 431, 161, 481, 219, 539, 162, 482)(113, 433, 164, 484, 222, 542, 165, 485)(121, 441, 173, 493, 215, 535, 158, 478)(128, 448, 180, 500, 221, 541, 163, 483)(136, 456, 159, 479, 217, 537, 190, 510)(138, 458, 192, 512, 248, 568, 193, 513)(141, 461, 197, 517, 253, 573, 195, 515)(143, 463, 199, 519, 252, 572, 194, 514)(145, 465, 196, 516, 218, 538, 201, 521)(147, 467, 203, 523, 257, 577, 202, 522)(151, 471, 166, 486, 224, 544, 207, 527)(153, 473, 208, 528, 223, 543, 209, 529)(167, 487, 225, 545, 271, 591, 226, 546)(170, 490, 230, 550, 204, 524, 228, 548)(172, 492, 232, 552, 275, 595, 227, 547)(174, 494, 229, 549, 187, 507, 234, 554)(176, 496, 236, 556, 279, 599, 235, 555)(179, 499, 238, 558, 184, 504, 239, 559)(182, 502, 242, 562, 281, 601, 241, 561)(185, 505, 244, 564, 270, 590, 240, 560)(191, 511, 247, 567, 284, 604, 245, 565)(198, 518, 243, 563, 273, 593, 254, 574)(200, 520, 256, 576, 276, 596, 231, 551)(206, 526, 260, 580, 292, 612, 259, 579)(210, 530, 214, 534, 264, 584, 237, 557)(211, 531, 261, 581, 293, 613, 262, 582)(216, 536, 266, 586, 296, 616, 263, 583)(220, 540, 269, 589, 299, 619, 268, 588)(233, 553, 278, 598, 297, 617, 265, 585)(246, 566, 267, 587, 250, 570, 285, 605)(249, 569, 288, 608, 308, 628, 287, 607)(251, 571, 289, 609, 307, 627, 286, 606)(255, 575, 272, 592, 301, 621, 290, 610)(258, 578, 274, 594, 302, 622, 291, 611)(277, 597, 294, 614, 311, 631, 303, 623)(280, 600, 295, 615, 312, 632, 304, 624)(282, 602, 305, 625, 313, 633, 298, 618)(283, 603, 306, 626, 314, 634, 300, 620)(309, 629, 315, 635, 319, 639, 317, 637)(310, 630, 316, 636, 320, 640, 318, 638)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 365)(22, 329)(23, 331)(24, 372)(25, 373)(26, 374)(27, 377)(28, 379)(29, 380)(30, 333)(31, 383)(32, 334)(33, 385)(34, 387)(35, 388)(36, 336)(37, 338)(38, 395)(39, 396)(40, 397)(41, 399)(42, 339)(43, 402)(44, 340)(45, 403)(46, 341)(47, 407)(48, 342)(49, 410)(50, 343)(51, 345)(52, 352)(53, 350)(54, 351)(55, 418)(56, 348)(57, 409)(58, 406)(59, 408)(60, 414)(61, 417)(62, 415)(63, 413)(64, 354)(65, 429)(66, 430)(67, 431)(68, 433)(69, 355)(70, 436)(71, 356)(72, 437)(73, 357)(74, 359)(75, 364)(76, 362)(77, 363)(78, 445)(79, 441)(80, 444)(81, 442)(82, 440)(83, 450)(84, 452)(85, 453)(86, 366)(87, 456)(88, 367)(89, 368)(90, 458)(91, 369)(92, 462)(93, 370)(94, 371)(95, 465)(96, 375)(97, 461)(98, 463)(99, 469)(100, 376)(101, 378)(102, 471)(103, 381)(104, 473)(105, 382)(106, 475)(107, 384)(108, 386)(109, 391)(110, 389)(111, 390)(112, 483)(113, 479)(114, 482)(115, 480)(116, 478)(117, 487)(118, 392)(119, 491)(120, 393)(121, 394)(122, 494)(123, 398)(124, 490)(125, 492)(126, 400)(127, 499)(128, 401)(129, 404)(130, 421)(131, 504)(132, 505)(133, 507)(134, 405)(135, 419)(136, 420)(137, 422)(138, 423)(139, 514)(140, 515)(141, 411)(142, 518)(143, 412)(144, 424)(145, 520)(146, 522)(147, 416)(148, 524)(149, 502)(150, 510)(151, 526)(152, 513)(153, 425)(154, 529)(155, 531)(156, 426)(157, 535)(158, 427)(159, 428)(160, 538)(161, 432)(162, 534)(163, 536)(164, 434)(165, 543)(166, 435)(167, 446)(168, 547)(169, 548)(170, 438)(171, 551)(172, 439)(173, 447)(174, 553)(175, 555)(176, 443)(177, 557)(178, 546)(179, 448)(180, 559)(181, 561)(182, 449)(183, 451)(184, 454)(185, 455)(186, 565)(187, 563)(188, 560)(189, 558)(190, 566)(191, 457)(192, 459)(193, 570)(194, 571)(195, 544)(196, 460)(197, 466)(198, 467)(199, 468)(200, 464)(201, 533)(202, 569)(203, 574)(204, 578)(205, 579)(206, 470)(207, 573)(208, 472)(209, 542)(210, 474)(211, 484)(212, 583)(213, 530)(214, 476)(215, 585)(216, 477)(217, 485)(218, 587)(219, 588)(220, 481)(221, 590)(222, 582)(223, 486)(224, 528)(225, 488)(226, 593)(227, 594)(228, 509)(229, 489)(230, 495)(231, 496)(232, 497)(233, 493)(234, 508)(235, 592)(236, 596)(237, 600)(238, 498)(239, 501)(240, 500)(241, 598)(242, 525)(243, 503)(244, 506)(245, 602)(246, 511)(247, 605)(248, 607)(249, 512)(250, 516)(251, 517)(252, 610)(253, 606)(254, 591)(255, 519)(256, 521)(257, 611)(258, 523)(259, 603)(260, 527)(261, 532)(262, 576)(263, 615)(264, 539)(265, 540)(266, 541)(267, 537)(268, 614)(269, 617)(270, 620)(271, 575)(272, 545)(273, 549)(274, 550)(275, 623)(276, 613)(277, 552)(278, 554)(279, 624)(280, 556)(281, 618)(282, 562)(283, 564)(284, 627)(285, 568)(286, 567)(287, 580)(288, 577)(289, 572)(290, 629)(291, 630)(292, 628)(293, 597)(294, 581)(295, 584)(296, 633)(297, 601)(298, 586)(299, 634)(300, 589)(301, 599)(302, 595)(303, 635)(304, 636)(305, 604)(306, 612)(307, 638)(308, 637)(309, 608)(310, 609)(311, 619)(312, 616)(313, 639)(314, 640)(315, 621)(316, 622)(317, 625)(318, 626)(319, 631)(320, 632)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.3139 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
Aut   = ((C20 x C2) : C4) : C2 (small group id <320, 206>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1^-2 * X2 * X1^-2)^2, (X1^-3 * X2 * X1^-1)^2, X1^3 * X2 * X1^-4 * X2 * X1, (X2 * X1^-1 * X2 * X1^3)^2, X2 * X1^2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 ]
Map::
	R = (1, 321, 2, 322, 5, 325, 11, 331, 23, 343, 22, 342, 10, 330, 4, 324)(3, 323, 7, 327, 15, 335, 31, 351, 44, 364, 37, 357, 18, 338, 8, 328)(6, 326, 13, 333, 27, 347, 51, 371, 43, 363, 56, 376, 30, 350, 14, 334)(9, 329, 19, 339, 38, 358, 46, 366, 24, 344, 45, 365, 40, 360, 20, 340)(12, 332, 25, 345, 47, 367, 42, 362, 21, 341, 41, 361, 50, 370, 26, 346)(16, 336, 33, 353, 60, 380, 93, 413, 67, 387, 74, 394, 62, 382, 34, 354)(17, 337, 35, 355, 63, 383, 88, 408, 57, 377, 83, 403, 53, 373, 28, 348)(29, 349, 54, 374, 84, 404, 72, 392, 79, 399, 111, 431, 76, 396, 48, 368)(32, 352, 58, 378, 89, 409, 66, 386, 36, 356, 65, 385, 92, 412, 59, 379)(39, 359, 69, 389, 103, 423, 107, 427, 73, 393, 49, 369, 77, 397, 70, 390)(52, 372, 80, 400, 115, 435, 87, 407, 55, 375, 86, 406, 118, 438, 81, 401)(61, 381, 95, 415, 132, 452, 100, 420, 129, 449, 168, 488, 126, 446, 90, 410)(64, 384, 98, 418, 137, 457, 161, 481, 120, 440, 91, 411, 127, 447, 99, 419)(68, 388, 101, 421, 139, 459, 106, 426, 71, 391, 105, 425, 141, 461, 102, 422)(75, 395, 108, 428, 146, 466, 114, 434, 78, 398, 113, 433, 149, 469, 109, 429)(82, 402, 119, 439, 159, 479, 124, 444, 97, 417, 136, 456, 156, 476, 116, 436)(85, 405, 122, 442, 163, 483, 194, 514, 151, 471, 117, 437, 157, 477, 123, 443)(94, 414, 130, 450, 172, 492, 135, 455, 96, 416, 134, 454, 174, 494, 131, 451)(104, 424, 143, 463, 185, 505, 144, 464, 145, 465, 187, 507, 182, 502, 140, 460)(110, 430, 150, 470, 192, 512, 154, 474, 121, 441, 162, 482, 189, 509, 147, 467)(112, 432, 152, 472, 195, 515, 184, 504, 142, 462, 148, 468, 190, 510, 153, 473)(125, 445, 165, 485, 209, 529, 171, 491, 128, 448, 170, 490, 212, 532, 166, 486)(133, 453, 176, 496, 222, 542, 265, 585, 214, 534, 173, 493, 219, 539, 177, 497)(138, 458, 180, 500, 205, 525, 160, 480, 204, 524, 256, 576, 224, 544, 178, 498)(155, 475, 197, 517, 247, 567, 202, 522, 158, 478, 201, 521, 250, 570, 198, 518)(164, 484, 208, 528, 244, 564, 193, 513, 243, 563, 281, 601, 258, 578, 206, 526)(167, 487, 213, 533, 263, 583, 217, 537, 175, 495, 221, 541, 261, 581, 210, 530)(169, 489, 215, 535, 239, 559, 225, 545, 179, 499, 211, 531, 245, 565, 216, 536)(181, 501, 227, 547, 260, 580, 231, 551, 183, 503, 230, 550, 270, 590, 228, 548)(186, 506, 196, 516, 246, 566, 275, 595, 235, 555, 232, 552, 262, 582, 234, 554)(188, 508, 236, 556, 276, 596, 241, 561, 191, 511, 240, 560, 226, 546, 237, 557)(199, 519, 251, 571, 284, 604, 254, 574, 203, 523, 255, 575, 283, 603, 248, 568)(200, 520, 252, 572, 218, 538, 259, 579, 207, 527, 249, 569, 220, 540, 253, 573)(223, 543, 267, 587, 292, 612, 264, 584, 291, 611, 305, 625, 293, 613, 266, 586)(229, 549, 271, 591, 296, 616, 272, 592, 233, 553, 273, 593, 295, 615, 269, 589)(238, 558, 278, 598, 301, 621, 279, 599, 242, 562, 280, 600, 300, 620, 277, 597)(257, 577, 287, 607, 306, 626, 285, 605, 268, 588, 294, 614, 307, 627, 286, 606)(274, 594, 290, 610, 310, 630, 297, 617, 299, 619, 289, 609, 309, 629, 298, 618)(282, 602, 304, 624, 313, 633, 302, 622, 288, 608, 308, 628, 314, 634, 303, 623)(311, 631, 315, 635, 319, 639, 317, 637, 312, 632, 316, 636, 320, 640, 318, 638)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 356)(19, 359)(20, 353)(21, 330)(22, 363)(23, 364)(24, 331)(25, 368)(26, 369)(27, 372)(28, 333)(29, 334)(30, 375)(31, 377)(32, 335)(33, 340)(34, 381)(35, 384)(36, 338)(37, 387)(38, 388)(39, 339)(40, 391)(41, 392)(42, 389)(43, 342)(44, 343)(45, 393)(46, 394)(47, 395)(48, 345)(49, 346)(50, 398)(51, 399)(52, 347)(53, 402)(54, 405)(55, 350)(56, 408)(57, 351)(58, 410)(59, 411)(60, 414)(61, 354)(62, 416)(63, 417)(64, 355)(65, 420)(66, 418)(67, 357)(68, 358)(69, 362)(70, 424)(71, 360)(72, 361)(73, 365)(74, 366)(75, 367)(76, 430)(77, 432)(78, 370)(79, 371)(80, 436)(81, 437)(82, 373)(83, 440)(84, 441)(85, 374)(86, 444)(87, 442)(88, 376)(89, 445)(90, 378)(91, 379)(92, 448)(93, 449)(94, 380)(95, 453)(96, 382)(97, 383)(98, 386)(99, 458)(100, 385)(101, 460)(102, 454)(103, 462)(104, 390)(105, 464)(106, 450)(107, 465)(108, 467)(109, 468)(110, 396)(111, 471)(112, 397)(113, 474)(114, 472)(115, 475)(116, 400)(117, 401)(118, 478)(119, 480)(120, 403)(121, 404)(122, 407)(123, 484)(124, 406)(125, 409)(126, 487)(127, 489)(128, 412)(129, 413)(130, 426)(131, 493)(132, 495)(133, 415)(134, 422)(135, 496)(136, 498)(137, 499)(138, 419)(139, 501)(140, 421)(141, 503)(142, 423)(143, 506)(144, 425)(145, 427)(146, 508)(147, 428)(148, 429)(149, 511)(150, 513)(151, 431)(152, 434)(153, 516)(154, 433)(155, 435)(156, 519)(157, 520)(158, 438)(159, 523)(160, 439)(161, 524)(162, 526)(163, 527)(164, 443)(165, 530)(166, 531)(167, 446)(168, 534)(169, 447)(170, 537)(171, 535)(172, 538)(173, 451)(174, 540)(175, 452)(176, 455)(177, 543)(178, 456)(179, 457)(180, 546)(181, 459)(182, 549)(183, 461)(184, 552)(185, 553)(186, 463)(187, 555)(188, 466)(189, 558)(190, 559)(191, 469)(192, 562)(193, 470)(194, 563)(195, 565)(196, 473)(197, 568)(198, 569)(199, 476)(200, 477)(201, 574)(202, 572)(203, 479)(204, 481)(205, 577)(206, 482)(207, 483)(208, 580)(209, 566)(210, 485)(211, 486)(212, 582)(213, 584)(214, 488)(215, 491)(216, 557)(217, 490)(218, 492)(219, 570)(220, 494)(221, 586)(222, 567)(223, 497)(224, 588)(225, 561)(226, 500)(227, 589)(228, 579)(229, 502)(230, 592)(231, 573)(232, 504)(233, 505)(234, 594)(235, 507)(236, 597)(237, 536)(238, 509)(239, 510)(240, 599)(241, 545)(242, 512)(243, 514)(244, 602)(245, 515)(246, 529)(247, 542)(248, 517)(249, 518)(250, 539)(251, 605)(252, 522)(253, 551)(254, 521)(255, 606)(256, 596)(257, 525)(258, 608)(259, 548)(260, 528)(261, 609)(262, 532)(263, 610)(264, 533)(265, 611)(266, 541)(267, 604)(268, 544)(269, 547)(270, 601)(271, 617)(272, 550)(273, 618)(274, 554)(275, 619)(276, 576)(277, 556)(278, 622)(279, 560)(280, 623)(281, 590)(282, 564)(283, 625)(284, 587)(285, 571)(286, 575)(287, 621)(288, 578)(289, 581)(290, 583)(291, 585)(292, 631)(293, 632)(294, 620)(295, 624)(296, 628)(297, 591)(298, 593)(299, 595)(300, 614)(301, 607)(302, 598)(303, 600)(304, 615)(305, 603)(306, 635)(307, 636)(308, 616)(309, 637)(310, 638)(311, 612)(312, 613)(313, 639)(314, 640)(315, 626)(316, 627)(317, 629)(318, 630)(319, 633)(320, 634)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Dual of E21.3134
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.3140 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1^-1 * X2)^4, (X1 * X2 * X1^3)^2, (X2 * X1 * X2 * X1^-3)^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 * X2 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 209, 171, 128, 170, 212, 166)(133, 176, 222, 265, 214, 173, 219, 177)(138, 180, 205, 160, 204, 256, 224, 178)(155, 197, 247, 202, 158, 201, 250, 198)(164, 208, 244, 193, 243, 281, 258, 206)(167, 213, 263, 217, 175, 221, 262, 210)(169, 215, 245, 225, 179, 211, 239, 216)(181, 227, 269, 231, 183, 230, 260, 228)(186, 196, 246, 275, 235, 232, 261, 234)(188, 236, 226, 241, 191, 240, 277, 237)(199, 251, 284, 254, 203, 255, 283, 248)(200, 252, 220, 259, 207, 249, 218, 253)(223, 267, 292, 264, 291, 305, 293, 266)(229, 271, 296, 272, 233, 273, 295, 270)(238, 278, 301, 279, 242, 280, 300, 276)(257, 287, 306, 285, 268, 294, 307, 286)(274, 289, 309, 297, 299, 290, 310, 298)(282, 304, 313, 302, 288, 308, 314, 303)(311, 316, 319, 317, 312, 315, 320, 318)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 210)(166, 211)(168, 214)(170, 217)(171, 215)(172, 218)(174, 220)(177, 223)(180, 226)(182, 229)(184, 232)(185, 233)(187, 235)(189, 238)(190, 239)(192, 242)(194, 243)(195, 245)(197, 248)(198, 249)(201, 254)(202, 252)(205, 257)(208, 260)(209, 261)(212, 246)(213, 264)(216, 241)(219, 247)(221, 266)(222, 250)(224, 268)(225, 237)(227, 270)(228, 253)(230, 272)(231, 259)(234, 274)(236, 276)(240, 279)(244, 282)(251, 285)(255, 286)(256, 277)(258, 288)(262, 289)(263, 290)(265, 291)(267, 283)(269, 281)(271, 297)(273, 298)(275, 299)(278, 302)(280, 303)(284, 305)(287, 300)(292, 311)(293, 312)(294, 301)(295, 308)(296, 304)(306, 315)(307, 316)(309, 317)(310, 318)(313, 319)(314, 320)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.3141 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-2)^2, (X1 * X2)^8, (X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1)^2, X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^2 * X2 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 115, 72)(45, 74, 119, 75)(46, 76, 89, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 85, 99)(61, 100, 146, 101)(63, 103, 150, 104)(64, 105, 81, 106)(66, 108, 157, 109)(67, 110, 143, 97)(68, 111, 160, 112)(73, 118, 141, 95)(82, 127, 174, 128)(84, 129, 176, 130)(90, 135, 181, 136)(92, 138, 185, 139)(96, 142, 180, 134)(102, 149, 178, 132)(107, 155, 199, 156)(113, 144, 123, 154)(114, 162, 209, 163)(116, 165, 211, 166)(117, 167, 120, 145)(121, 170, 194, 147)(122, 148, 195, 151)(125, 137, 184, 172)(126, 133, 179, 173)(140, 188, 235, 189)(152, 198, 230, 182)(153, 183, 231, 186)(158, 203, 229, 204)(159, 205, 252, 206)(161, 208, 250, 202)(164, 210, 226, 200)(168, 192, 242, 214)(169, 201, 249, 215)(171, 217, 244, 218)(175, 187, 234, 222)(177, 224, 212, 225)(190, 238, 221, 239)(191, 240, 277, 241)(193, 243, 219, 236)(196, 228, 270, 246)(197, 237, 275, 247)(207, 255, 288, 256)(213, 251, 282, 253)(216, 254, 287, 263)(220, 265, 272, 232)(223, 264, 295, 266)(227, 268, 298, 269)(233, 267, 297, 273)(245, 276, 302, 278)(248, 279, 306, 284)(257, 291, 311, 292)(258, 281, 261, 289)(259, 286, 299, 271)(260, 290, 310, 293)(262, 294, 307, 280)(274, 300, 313, 304)(283, 308, 285, 301)(296, 303, 314, 305)(309, 316, 319, 317)(312, 315, 320, 318)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 116)(72, 117)(74, 120)(75, 121)(76, 122)(77, 123)(78, 125)(79, 111)(80, 126)(83, 108)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 144)(99, 145)(100, 147)(101, 148)(103, 151)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(112, 161)(115, 164)(118, 168)(119, 169)(124, 171)(127, 175)(128, 162)(129, 163)(130, 165)(131, 177)(135, 182)(136, 183)(138, 186)(139, 187)(141, 190)(142, 191)(143, 192)(146, 193)(149, 196)(150, 197)(155, 200)(156, 201)(157, 202)(160, 207)(166, 212)(167, 213)(170, 216)(172, 219)(173, 220)(174, 221)(176, 223)(178, 226)(179, 227)(180, 228)(181, 229)(184, 232)(185, 233)(188, 236)(189, 237)(194, 244)(195, 245)(198, 248)(199, 230)(203, 224)(204, 251)(205, 253)(206, 254)(208, 257)(209, 258)(210, 259)(211, 260)(214, 261)(215, 262)(217, 238)(218, 264)(222, 235)(225, 267)(231, 271)(234, 274)(239, 276)(240, 278)(241, 279)(242, 280)(243, 281)(246, 282)(247, 283)(249, 285)(250, 286)(252, 284)(255, 289)(256, 290)(263, 288)(265, 296)(266, 291)(268, 299)(269, 300)(270, 301)(272, 302)(273, 303)(275, 305)(277, 304)(287, 309)(292, 297)(293, 298)(294, 312)(295, 307)(306, 315)(308, 316)(310, 318)(311, 317)(313, 319)(314, 320)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.3142 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, (X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2)^2, (X2^-1 * X1)^8, X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1 * X2^-1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 98)(68, 103)(69, 112)(71, 115)(73, 105)(74, 119)(76, 122)(77, 87)(79, 124)(81, 127)(82, 89)(84, 94)(90, 136)(92, 139)(95, 143)(97, 146)(100, 148)(102, 151)(107, 131)(108, 141)(109, 150)(110, 153)(111, 156)(113, 154)(114, 160)(116, 163)(117, 132)(118, 158)(120, 162)(121, 167)(123, 170)(125, 172)(126, 133)(128, 175)(129, 134)(130, 137)(135, 178)(138, 182)(140, 185)(142, 180)(144, 184)(145, 189)(147, 192)(149, 194)(152, 197)(155, 199)(157, 202)(159, 204)(161, 207)(164, 206)(165, 209)(166, 212)(168, 210)(169, 215)(171, 217)(173, 219)(174, 220)(176, 223)(177, 224)(179, 227)(181, 229)(183, 232)(186, 231)(187, 234)(188, 237)(190, 235)(191, 240)(193, 242)(195, 244)(196, 245)(198, 248)(200, 250)(201, 226)(203, 253)(205, 254)(208, 257)(211, 259)(213, 238)(214, 239)(216, 260)(218, 262)(221, 264)(222, 252)(225, 268)(228, 271)(230, 272)(233, 275)(236, 277)(241, 278)(243, 280)(246, 282)(247, 270)(249, 284)(251, 269)(255, 287)(256, 288)(258, 279)(261, 276)(263, 294)(265, 293)(266, 267)(273, 299)(274, 300)(281, 306)(283, 305)(285, 298)(286, 297)(289, 310)(290, 304)(291, 312)(292, 302)(295, 311)(296, 309)(301, 314)(303, 316)(307, 315)(308, 313)(317, 319)(318, 320)(321, 323, 328, 324)(322, 325, 331, 326)(327, 333, 344, 334)(329, 336, 349, 337)(330, 338, 352, 339)(332, 341, 357, 342)(335, 346, 365, 347)(340, 354, 378, 355)(343, 359, 386, 360)(345, 362, 391, 363)(348, 367, 399, 368)(350, 370, 404, 371)(351, 372, 407, 373)(353, 375, 412, 376)(356, 380, 420, 381)(358, 383, 425, 384)(361, 388, 431, 389)(364, 393, 438, 394)(366, 396, 443, 397)(369, 401, 448, 402)(374, 409, 455, 410)(377, 414, 462, 415)(379, 417, 467, 418)(382, 422, 472, 423)(385, 427, 405, 428)(387, 429, 475, 430)(390, 433, 479, 434)(392, 436, 398, 437)(395, 440, 486, 441)(400, 445, 493, 446)(403, 449, 496, 450)(406, 451, 426, 452)(408, 453, 497, 454)(411, 457, 501, 458)(413, 460, 419, 461)(416, 464, 508, 465)(421, 469, 515, 470)(424, 473, 518, 474)(432, 477, 523, 478)(435, 481, 528, 482)(439, 484, 531, 485)(442, 488, 534, 489)(444, 487, 533, 491)(447, 490, 536, 494)(456, 499, 548, 500)(459, 503, 553, 504)(463, 506, 556, 507)(466, 510, 559, 511)(468, 509, 558, 513)(471, 512, 561, 516)(476, 520, 549, 521)(480, 525, 575, 526)(483, 529, 578, 530)(492, 535, 557, 538)(495, 541, 574, 542)(498, 545, 524, 546)(502, 550, 593, 551)(505, 554, 596, 555)(514, 560, 532, 563)(517, 566, 592, 567)(519, 569, 605, 570)(522, 571, 543, 572)(527, 573, 606, 576)(537, 581, 612, 580)(539, 583, 615, 584)(540, 585, 616, 586)(544, 587, 617, 588)(547, 589, 568, 590)(552, 591, 618, 594)(562, 599, 624, 598)(564, 601, 627, 602)(565, 603, 628, 604)(577, 609, 626, 610)(579, 611, 625, 600)(582, 597, 623, 613)(595, 621, 614, 622)(607, 629, 637, 630)(608, 631, 638, 632)(619, 633, 639, 634)(620, 635, 640, 636)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Dual of E21.3147
Transitivity :: ET+
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.3143 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, (X2 * X1^-1 * X2^2)^2, X2^8, X1^-1 * X2^-3 * X1 * X2^-1 * X1 * X2 * X1^-2 * X2 * X1^-1, X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 61, 29)(17, 37, 72, 39)(20, 43, 80, 41)(22, 47, 84, 45)(24, 51, 82, 44)(26, 46, 85, 55)(27, 56, 99, 58)(30, 62, 78, 40)(32, 57, 101, 63)(33, 64, 106, 66)(36, 70, 114, 68)(38, 74, 116, 71)(42, 81, 112, 67)(48, 65, 108, 87)(50, 92, 139, 90)(52, 75, 109, 89)(53, 91, 140, 95)(54, 96, 146, 97)(59, 69, 115, 102)(60, 103, 152, 104)(73, 119, 168, 117)(76, 118, 169, 122)(77, 123, 175, 124)(79, 126, 178, 127)(83, 129, 181, 131)(86, 135, 188, 133)(88, 137, 186, 132)(93, 130, 183, 142)(94, 144, 171, 120)(98, 134, 189, 148)(100, 150, 205, 149)(105, 154, 177, 125)(107, 157, 212, 155)(110, 156, 213, 160)(111, 161, 219, 162)(113, 164, 222, 165)(121, 173, 215, 158)(128, 180, 221, 163)(136, 159, 217, 190)(138, 192, 248, 193)(141, 197, 253, 195)(143, 199, 251, 194)(145, 196, 223, 201)(147, 203, 257, 202)(151, 166, 224, 207)(153, 208, 218, 209)(167, 225, 204, 226)(170, 230, 275, 228)(172, 232, 273, 227)(174, 229, 184, 234)(176, 236, 279, 235)(179, 238, 187, 239)(182, 241, 270, 240)(185, 243, 282, 244)(191, 247, 284, 245)(198, 242, 274, 254)(200, 256, 276, 231)(206, 260, 292, 259)(210, 211, 261, 237)(214, 264, 296, 263)(216, 266, 295, 262)(220, 269, 299, 268)(233, 278, 297, 265)(246, 267, 252, 285)(249, 287, 307, 286)(250, 288, 309, 289)(255, 272, 302, 290)(258, 271, 301, 291)(277, 294, 312, 303)(280, 293, 311, 304)(281, 305, 314, 300)(283, 306, 313, 298)(308, 316, 319, 318)(310, 315, 320, 317)(321, 323, 330, 344, 372, 352, 334, 325)(322, 327, 337, 358, 395, 364, 340, 328)(324, 332, 347, 377, 409, 368, 342, 329)(326, 335, 353, 385, 429, 391, 356, 336)(331, 346, 374, 351, 383, 413, 370, 343)(333, 349, 380, 414, 371, 345, 373, 350)(338, 360, 397, 363, 402, 440, 393, 357)(339, 361, 399, 441, 394, 359, 396, 362)(341, 365, 403, 450, 421, 378, 406, 366)(348, 379, 408, 367, 407, 456, 420, 376)(354, 387, 431, 390, 436, 478, 427, 384)(355, 388, 433, 479, 428, 386, 430, 389)(369, 410, 458, 423, 381, 417, 461, 411)(375, 418, 463, 412, 462, 518, 467, 416)(382, 415, 465, 520, 464, 424, 473, 425)(392, 437, 487, 446, 400, 444, 490, 438)(398, 445, 492, 439, 491, 551, 496, 443)(401, 442, 494, 553, 493, 447, 499, 448)(404, 452, 505, 455, 419, 469, 502, 449)(405, 453, 507, 562, 503, 451, 504, 454)(422, 471, 526, 470, 510, 566, 511, 457)(426, 475, 531, 484, 434, 482, 534, 476)(432, 483, 536, 477, 535, 585, 540, 481)(435, 480, 538, 587, 537, 485, 543, 486)(459, 514, 570, 517, 466, 522, 569, 512)(460, 515, 572, 528, 472, 513, 544, 516)(468, 524, 578, 523, 574, 595, 575, 519)(474, 529, 533, 583, 576, 521, 542, 530)(488, 547, 592, 550, 495, 555, 591, 545)(489, 548, 594, 558, 498, 546, 509, 549)(497, 557, 600, 556, 596, 616, 597, 552)(500, 559, 508, 564, 598, 554, 501, 560)(506, 565, 601, 561, 525, 579, 603, 563)(527, 568, 606, 567, 605, 573, 609, 580)(532, 582, 614, 584, 539, 588, 613, 581)(541, 590, 620, 589, 617, 602, 618, 586)(571, 610, 628, 607, 577, 611, 630, 608)(593, 623, 635, 621, 599, 624, 636, 622)(604, 627, 638, 626, 612, 629, 637, 625)(615, 633, 639, 631, 619, 634, 640, 632)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.3144 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1 * X2 * X1^3)^2, (X2 * X1 * X2 * X1^-3)^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 * X2 * X1^-2 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 209, 171, 128, 170, 212, 166)(133, 176, 222, 265, 214, 173, 219, 177)(138, 180, 205, 160, 204, 256, 224, 178)(155, 197, 247, 202, 158, 201, 250, 198)(164, 208, 244, 193, 243, 281, 258, 206)(167, 213, 263, 217, 175, 221, 262, 210)(169, 215, 245, 225, 179, 211, 239, 216)(181, 227, 269, 231, 183, 230, 260, 228)(186, 196, 246, 275, 235, 232, 261, 234)(188, 236, 226, 241, 191, 240, 277, 237)(199, 251, 284, 254, 203, 255, 283, 248)(200, 252, 220, 259, 207, 249, 218, 253)(223, 267, 292, 264, 291, 305, 293, 266)(229, 271, 296, 272, 233, 273, 295, 270)(238, 278, 301, 279, 242, 280, 300, 276)(257, 287, 306, 285, 268, 294, 307, 286)(274, 289, 309, 297, 299, 290, 310, 298)(282, 304, 313, 302, 288, 308, 314, 303)(311, 316, 319, 317, 312, 315, 320, 318)(321, 323)(322, 326)(324, 329)(325, 332)(327, 336)(328, 337)(330, 341)(331, 344)(333, 348)(334, 349)(335, 352)(338, 356)(339, 359)(340, 353)(342, 363)(343, 364)(345, 368)(346, 369)(347, 372)(350, 375)(351, 377)(354, 381)(355, 384)(357, 387)(358, 388)(360, 391)(361, 392)(362, 389)(365, 393)(366, 394)(367, 395)(370, 398)(371, 399)(373, 402)(374, 405)(376, 408)(378, 410)(379, 411)(380, 414)(382, 416)(383, 417)(385, 420)(386, 418)(390, 424)(396, 430)(397, 432)(400, 436)(401, 437)(403, 440)(404, 441)(406, 444)(407, 442)(409, 445)(412, 448)(413, 449)(415, 453)(419, 458)(421, 460)(422, 454)(423, 462)(425, 464)(426, 450)(427, 465)(428, 467)(429, 468)(431, 471)(433, 474)(434, 472)(435, 475)(438, 478)(439, 480)(443, 484)(446, 487)(447, 489)(451, 493)(452, 495)(455, 496)(456, 498)(457, 499)(459, 501)(461, 503)(463, 506)(466, 508)(469, 511)(470, 513)(473, 516)(476, 519)(477, 520)(479, 523)(481, 524)(482, 526)(483, 527)(485, 530)(486, 531)(488, 534)(490, 537)(491, 535)(492, 538)(494, 540)(497, 543)(500, 546)(502, 549)(504, 552)(505, 553)(507, 555)(509, 558)(510, 559)(512, 562)(514, 563)(515, 565)(517, 568)(518, 569)(521, 574)(522, 572)(525, 577)(528, 580)(529, 581)(532, 566)(533, 584)(536, 561)(539, 567)(541, 586)(542, 570)(544, 588)(545, 557)(547, 590)(548, 573)(550, 592)(551, 579)(554, 594)(556, 596)(560, 599)(564, 602)(571, 605)(575, 606)(576, 597)(578, 608)(582, 609)(583, 610)(585, 611)(587, 603)(589, 601)(591, 617)(593, 618)(595, 619)(598, 622)(600, 623)(604, 625)(607, 620)(612, 631)(613, 632)(614, 621)(615, 628)(616, 624)(626, 635)(627, 636)(629, 637)(630, 638)(633, 639)(634, 640)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.3145 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X1 * X2 * X1 * X2^-2 * X1 * X2)^2, (X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2)^2, (X2^-1 * X1)^8, X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2 * X1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 321, 2, 322)(3, 323, 7, 327)(4, 324, 9, 329)(5, 325, 10, 330)(6, 326, 12, 332)(8, 328, 15, 335)(11, 331, 20, 340)(13, 333, 23, 343)(14, 334, 25, 345)(16, 336, 28, 348)(17, 337, 30, 350)(18, 338, 31, 351)(19, 339, 33, 353)(21, 341, 36, 356)(22, 342, 38, 358)(24, 344, 41, 361)(26, 346, 44, 364)(27, 347, 46, 366)(29, 349, 49, 369)(32, 352, 54, 374)(34, 354, 57, 377)(35, 355, 59, 379)(37, 357, 62, 382)(39, 359, 65, 385)(40, 360, 67, 387)(42, 362, 70, 390)(43, 363, 72, 392)(45, 365, 75, 395)(47, 367, 78, 398)(48, 368, 80, 400)(50, 370, 83, 403)(51, 371, 85, 405)(52, 372, 86, 406)(53, 373, 88, 408)(55, 375, 91, 411)(56, 376, 93, 413)(58, 378, 96, 416)(60, 380, 99, 419)(61, 381, 101, 421)(63, 383, 104, 424)(64, 384, 106, 426)(66, 386, 98, 418)(68, 388, 103, 423)(69, 389, 112, 432)(71, 391, 115, 435)(73, 393, 105, 425)(74, 394, 119, 439)(76, 396, 122, 442)(77, 397, 87, 407)(79, 399, 124, 444)(81, 401, 127, 447)(82, 402, 89, 409)(84, 404, 94, 414)(90, 410, 136, 456)(92, 412, 139, 459)(95, 415, 143, 463)(97, 417, 146, 466)(100, 420, 148, 468)(102, 422, 151, 471)(107, 427, 131, 451)(108, 428, 141, 461)(109, 429, 150, 470)(110, 430, 153, 473)(111, 431, 156, 476)(113, 433, 154, 474)(114, 434, 160, 480)(116, 436, 163, 483)(117, 437, 132, 452)(118, 438, 158, 478)(120, 440, 162, 482)(121, 441, 167, 487)(123, 443, 170, 490)(125, 445, 172, 492)(126, 446, 133, 453)(128, 448, 175, 495)(129, 449, 134, 454)(130, 450, 137, 457)(135, 455, 178, 498)(138, 458, 182, 502)(140, 460, 185, 505)(142, 462, 180, 500)(144, 464, 184, 504)(145, 465, 189, 509)(147, 467, 192, 512)(149, 469, 194, 514)(152, 472, 197, 517)(155, 475, 199, 519)(157, 477, 202, 522)(159, 479, 204, 524)(161, 481, 207, 527)(164, 484, 206, 526)(165, 485, 209, 529)(166, 486, 212, 532)(168, 488, 210, 530)(169, 489, 215, 535)(171, 491, 217, 537)(173, 493, 219, 539)(174, 494, 220, 540)(176, 496, 223, 543)(177, 497, 224, 544)(179, 499, 227, 547)(181, 501, 229, 549)(183, 503, 232, 552)(186, 506, 231, 551)(187, 507, 234, 554)(188, 508, 237, 557)(190, 510, 235, 555)(191, 511, 240, 560)(193, 513, 242, 562)(195, 515, 244, 564)(196, 516, 245, 565)(198, 518, 248, 568)(200, 520, 250, 570)(201, 521, 226, 546)(203, 523, 253, 573)(205, 525, 254, 574)(208, 528, 257, 577)(211, 531, 259, 579)(213, 533, 238, 558)(214, 534, 239, 559)(216, 536, 260, 580)(218, 538, 262, 582)(221, 541, 264, 584)(222, 542, 252, 572)(225, 545, 268, 588)(228, 548, 271, 591)(230, 550, 272, 592)(233, 553, 275, 595)(236, 556, 277, 597)(241, 561, 278, 598)(243, 563, 280, 600)(246, 566, 282, 602)(247, 567, 270, 590)(249, 569, 284, 604)(251, 571, 269, 589)(255, 575, 287, 607)(256, 576, 288, 608)(258, 578, 279, 599)(261, 581, 276, 596)(263, 583, 294, 614)(265, 585, 293, 613)(266, 586, 267, 587)(273, 593, 299, 619)(274, 594, 300, 620)(281, 601, 306, 626)(283, 603, 305, 625)(285, 605, 298, 618)(286, 606, 297, 617)(289, 609, 310, 630)(290, 610, 304, 624)(291, 611, 312, 632)(292, 612, 302, 622)(295, 615, 311, 631)(296, 616, 309, 629)(301, 621, 314, 634)(303, 623, 316, 636)(307, 627, 315, 635)(308, 628, 313, 633)(317, 637, 319, 639)(318, 638, 320, 640)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 331)(6, 322)(7, 333)(8, 324)(9, 336)(10, 338)(11, 326)(12, 341)(13, 344)(14, 327)(15, 346)(16, 349)(17, 329)(18, 352)(19, 330)(20, 354)(21, 357)(22, 332)(23, 359)(24, 334)(25, 362)(26, 365)(27, 335)(28, 367)(29, 337)(30, 370)(31, 372)(32, 339)(33, 375)(34, 378)(35, 340)(36, 380)(37, 342)(38, 383)(39, 386)(40, 343)(41, 388)(42, 391)(43, 345)(44, 393)(45, 347)(46, 396)(47, 399)(48, 348)(49, 401)(50, 404)(51, 350)(52, 407)(53, 351)(54, 409)(55, 412)(56, 353)(57, 414)(58, 355)(59, 417)(60, 420)(61, 356)(62, 422)(63, 425)(64, 358)(65, 427)(66, 360)(67, 429)(68, 431)(69, 361)(70, 433)(71, 363)(72, 436)(73, 438)(74, 364)(75, 440)(76, 443)(77, 366)(78, 437)(79, 368)(80, 445)(81, 448)(82, 369)(83, 449)(84, 371)(85, 428)(86, 451)(87, 373)(88, 453)(89, 455)(90, 374)(91, 457)(92, 376)(93, 460)(94, 462)(95, 377)(96, 464)(97, 467)(98, 379)(99, 461)(100, 381)(101, 469)(102, 472)(103, 382)(104, 473)(105, 384)(106, 452)(107, 405)(108, 385)(109, 475)(110, 387)(111, 389)(112, 477)(113, 479)(114, 390)(115, 481)(116, 398)(117, 392)(118, 394)(119, 484)(120, 486)(121, 395)(122, 488)(123, 397)(124, 487)(125, 493)(126, 400)(127, 490)(128, 402)(129, 496)(130, 403)(131, 426)(132, 406)(133, 497)(134, 408)(135, 410)(136, 499)(137, 501)(138, 411)(139, 503)(140, 419)(141, 413)(142, 415)(143, 506)(144, 508)(145, 416)(146, 510)(147, 418)(148, 509)(149, 515)(150, 421)(151, 512)(152, 423)(153, 518)(154, 424)(155, 430)(156, 520)(157, 523)(158, 432)(159, 434)(160, 525)(161, 528)(162, 435)(163, 529)(164, 531)(165, 439)(166, 441)(167, 533)(168, 534)(169, 442)(170, 536)(171, 444)(172, 535)(173, 446)(174, 447)(175, 541)(176, 450)(177, 454)(178, 545)(179, 548)(180, 456)(181, 458)(182, 550)(183, 553)(184, 459)(185, 554)(186, 556)(187, 463)(188, 465)(189, 558)(190, 559)(191, 466)(192, 561)(193, 468)(194, 560)(195, 470)(196, 471)(197, 566)(198, 474)(199, 569)(200, 549)(201, 476)(202, 571)(203, 478)(204, 546)(205, 575)(206, 480)(207, 573)(208, 482)(209, 578)(210, 483)(211, 485)(212, 563)(213, 491)(214, 489)(215, 557)(216, 494)(217, 581)(218, 492)(219, 583)(220, 585)(221, 574)(222, 495)(223, 572)(224, 587)(225, 524)(226, 498)(227, 589)(228, 500)(229, 521)(230, 593)(231, 502)(232, 591)(233, 504)(234, 596)(235, 505)(236, 507)(237, 538)(238, 513)(239, 511)(240, 532)(241, 516)(242, 599)(243, 514)(244, 601)(245, 603)(246, 592)(247, 517)(248, 590)(249, 605)(250, 519)(251, 543)(252, 522)(253, 606)(254, 542)(255, 526)(256, 527)(257, 609)(258, 530)(259, 611)(260, 537)(261, 612)(262, 597)(263, 615)(264, 539)(265, 616)(266, 540)(267, 617)(268, 544)(269, 568)(270, 547)(271, 618)(272, 567)(273, 551)(274, 552)(275, 621)(276, 555)(277, 623)(278, 562)(279, 624)(280, 579)(281, 627)(282, 564)(283, 628)(284, 565)(285, 570)(286, 576)(287, 629)(288, 631)(289, 626)(290, 577)(291, 625)(292, 580)(293, 582)(294, 622)(295, 584)(296, 586)(297, 588)(298, 594)(299, 633)(300, 635)(301, 614)(302, 595)(303, 613)(304, 598)(305, 600)(306, 610)(307, 602)(308, 604)(309, 637)(310, 607)(311, 638)(312, 608)(313, 639)(314, 619)(315, 640)(316, 620)(317, 630)(318, 632)(319, 634)(320, 636)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.3146 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, (X2 * X1^-1 * X2^2)^2, X2^8, X1^-1 * X2^-3 * X1 * X2^-1 * X1 * X2 * X1^-2 * X2 * X1^-1, X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 ]
Map::
	R = (1, 321, 2, 322, 6, 326, 4, 324)(3, 323, 9, 329, 21, 341, 11, 331)(5, 325, 13, 333, 18, 338, 7, 327)(8, 328, 19, 339, 34, 354, 15, 335)(10, 330, 23, 343, 49, 369, 25, 345)(12, 332, 16, 336, 35, 355, 28, 348)(14, 334, 31, 351, 61, 381, 29, 349)(17, 337, 37, 357, 72, 392, 39, 359)(20, 340, 43, 363, 80, 400, 41, 361)(22, 342, 47, 367, 84, 404, 45, 365)(24, 344, 51, 371, 82, 402, 44, 364)(26, 346, 46, 366, 85, 405, 55, 375)(27, 347, 56, 376, 99, 419, 58, 378)(30, 350, 62, 382, 78, 398, 40, 360)(32, 352, 57, 377, 101, 421, 63, 383)(33, 353, 64, 384, 106, 426, 66, 386)(36, 356, 70, 390, 114, 434, 68, 388)(38, 358, 74, 394, 116, 436, 71, 391)(42, 362, 81, 401, 112, 432, 67, 387)(48, 368, 65, 385, 108, 428, 87, 407)(50, 370, 92, 412, 139, 459, 90, 410)(52, 372, 75, 395, 109, 429, 89, 409)(53, 373, 91, 411, 140, 460, 95, 415)(54, 374, 96, 416, 146, 466, 97, 417)(59, 379, 69, 389, 115, 435, 102, 422)(60, 380, 103, 423, 152, 472, 104, 424)(73, 393, 119, 439, 168, 488, 117, 437)(76, 396, 118, 438, 169, 489, 122, 442)(77, 397, 123, 443, 175, 495, 124, 444)(79, 399, 126, 446, 178, 498, 127, 447)(83, 403, 129, 449, 181, 501, 131, 451)(86, 406, 135, 455, 188, 508, 133, 453)(88, 408, 137, 457, 186, 506, 132, 452)(93, 413, 130, 450, 183, 503, 142, 462)(94, 414, 144, 464, 171, 491, 120, 440)(98, 418, 134, 454, 189, 509, 148, 468)(100, 420, 150, 470, 205, 525, 149, 469)(105, 425, 154, 474, 177, 497, 125, 445)(107, 427, 157, 477, 212, 532, 155, 475)(110, 430, 156, 476, 213, 533, 160, 480)(111, 431, 161, 481, 219, 539, 162, 482)(113, 433, 164, 484, 222, 542, 165, 485)(121, 441, 173, 493, 215, 535, 158, 478)(128, 448, 180, 500, 221, 541, 163, 483)(136, 456, 159, 479, 217, 537, 190, 510)(138, 458, 192, 512, 248, 568, 193, 513)(141, 461, 197, 517, 253, 573, 195, 515)(143, 463, 199, 519, 251, 571, 194, 514)(145, 465, 196, 516, 223, 543, 201, 521)(147, 467, 203, 523, 257, 577, 202, 522)(151, 471, 166, 486, 224, 544, 207, 527)(153, 473, 208, 528, 218, 538, 209, 529)(167, 487, 225, 545, 204, 524, 226, 546)(170, 490, 230, 550, 275, 595, 228, 548)(172, 492, 232, 552, 273, 593, 227, 547)(174, 494, 229, 549, 184, 504, 234, 554)(176, 496, 236, 556, 279, 599, 235, 555)(179, 499, 238, 558, 187, 507, 239, 559)(182, 502, 241, 561, 270, 590, 240, 560)(185, 505, 243, 563, 282, 602, 244, 564)(191, 511, 247, 567, 284, 604, 245, 565)(198, 518, 242, 562, 274, 594, 254, 574)(200, 520, 256, 576, 276, 596, 231, 551)(206, 526, 260, 580, 292, 612, 259, 579)(210, 530, 211, 531, 261, 581, 237, 557)(214, 534, 264, 584, 296, 616, 263, 583)(216, 536, 266, 586, 295, 615, 262, 582)(220, 540, 269, 589, 299, 619, 268, 588)(233, 553, 278, 598, 297, 617, 265, 585)(246, 566, 267, 587, 252, 572, 285, 605)(249, 569, 287, 607, 307, 627, 286, 606)(250, 570, 288, 608, 309, 629, 289, 609)(255, 575, 272, 592, 302, 622, 290, 610)(258, 578, 271, 591, 301, 621, 291, 611)(277, 597, 294, 614, 312, 632, 303, 623)(280, 600, 293, 613, 311, 631, 304, 624)(281, 601, 305, 625, 314, 634, 300, 620)(283, 603, 306, 626, 313, 633, 298, 618)(308, 628, 316, 636, 319, 639, 318, 638)(310, 630, 315, 635, 320, 640, 317, 637)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 365)(22, 329)(23, 331)(24, 372)(25, 373)(26, 374)(27, 377)(28, 379)(29, 380)(30, 333)(31, 383)(32, 334)(33, 385)(34, 387)(35, 388)(36, 336)(37, 338)(38, 395)(39, 396)(40, 397)(41, 399)(42, 339)(43, 402)(44, 340)(45, 403)(46, 341)(47, 407)(48, 342)(49, 410)(50, 343)(51, 345)(52, 352)(53, 350)(54, 351)(55, 418)(56, 348)(57, 409)(58, 406)(59, 408)(60, 414)(61, 417)(62, 415)(63, 413)(64, 354)(65, 429)(66, 430)(67, 431)(68, 433)(69, 355)(70, 436)(71, 356)(72, 437)(73, 357)(74, 359)(75, 364)(76, 362)(77, 363)(78, 445)(79, 441)(80, 444)(81, 442)(82, 440)(83, 450)(84, 452)(85, 453)(86, 366)(87, 456)(88, 367)(89, 368)(90, 458)(91, 369)(92, 462)(93, 370)(94, 371)(95, 465)(96, 375)(97, 461)(98, 463)(99, 469)(100, 376)(101, 378)(102, 471)(103, 381)(104, 473)(105, 382)(106, 475)(107, 384)(108, 386)(109, 391)(110, 389)(111, 390)(112, 483)(113, 479)(114, 482)(115, 480)(116, 478)(117, 487)(118, 392)(119, 491)(120, 393)(121, 394)(122, 494)(123, 398)(124, 490)(125, 492)(126, 400)(127, 499)(128, 401)(129, 404)(130, 421)(131, 504)(132, 505)(133, 507)(134, 405)(135, 419)(136, 420)(137, 422)(138, 423)(139, 514)(140, 515)(141, 411)(142, 518)(143, 412)(144, 424)(145, 520)(146, 522)(147, 416)(148, 524)(149, 502)(150, 510)(151, 526)(152, 513)(153, 425)(154, 529)(155, 531)(156, 426)(157, 535)(158, 427)(159, 428)(160, 538)(161, 432)(162, 534)(163, 536)(164, 434)(165, 543)(166, 435)(167, 446)(168, 547)(169, 548)(170, 438)(171, 551)(172, 439)(173, 447)(174, 553)(175, 555)(176, 443)(177, 557)(178, 546)(179, 448)(180, 559)(181, 560)(182, 449)(183, 451)(184, 454)(185, 455)(186, 565)(187, 562)(188, 564)(189, 549)(190, 566)(191, 457)(192, 459)(193, 544)(194, 570)(195, 572)(196, 460)(197, 466)(198, 467)(199, 468)(200, 464)(201, 542)(202, 569)(203, 574)(204, 578)(205, 579)(206, 470)(207, 568)(208, 472)(209, 533)(210, 474)(211, 484)(212, 582)(213, 583)(214, 476)(215, 585)(216, 477)(217, 485)(218, 587)(219, 588)(220, 481)(221, 590)(222, 530)(223, 486)(224, 516)(225, 488)(226, 509)(227, 592)(228, 594)(229, 489)(230, 495)(231, 496)(232, 497)(233, 493)(234, 501)(235, 591)(236, 596)(237, 600)(238, 498)(239, 508)(240, 500)(241, 525)(242, 503)(243, 506)(244, 598)(245, 601)(246, 511)(247, 605)(248, 606)(249, 512)(250, 517)(251, 610)(252, 528)(253, 609)(254, 595)(255, 519)(256, 521)(257, 611)(258, 523)(259, 603)(260, 527)(261, 532)(262, 614)(263, 576)(264, 539)(265, 540)(266, 541)(267, 537)(268, 613)(269, 617)(270, 620)(271, 545)(272, 550)(273, 623)(274, 558)(275, 575)(276, 616)(277, 552)(278, 554)(279, 624)(280, 556)(281, 561)(282, 618)(283, 563)(284, 627)(285, 573)(286, 567)(287, 577)(288, 571)(289, 580)(290, 628)(291, 630)(292, 629)(293, 581)(294, 584)(295, 633)(296, 597)(297, 602)(298, 586)(299, 634)(300, 589)(301, 599)(302, 593)(303, 635)(304, 636)(305, 604)(306, 612)(307, 638)(308, 607)(309, 637)(310, 608)(311, 619)(312, 615)(313, 639)(314, 640)(315, 621)(316, 622)(317, 625)(318, 626)(319, 631)(320, 632)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.3147 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
Aut   = (((C5 : C8) : C2) : C2) : C2 (small group id <320, 202>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1 * X2 * X1^3)^2, (X2 * X1 * X2 * X1^-3)^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 * X2 * X1^-2 ]
Map::
	R = (1, 321, 2, 322, 5, 325, 11, 331, 23, 343, 22, 342, 10, 330, 4, 324)(3, 323, 7, 327, 15, 335, 31, 351, 44, 364, 37, 357, 18, 338, 8, 328)(6, 326, 13, 333, 27, 347, 51, 371, 43, 363, 56, 376, 30, 350, 14, 334)(9, 329, 19, 339, 38, 358, 46, 366, 24, 344, 45, 365, 40, 360, 20, 340)(12, 332, 25, 345, 47, 367, 42, 362, 21, 341, 41, 361, 50, 370, 26, 346)(16, 336, 33, 353, 60, 380, 93, 413, 67, 387, 74, 394, 62, 382, 34, 354)(17, 337, 35, 355, 63, 383, 88, 408, 57, 377, 83, 403, 53, 373, 28, 348)(29, 349, 54, 374, 84, 404, 72, 392, 79, 399, 111, 431, 76, 396, 48, 368)(32, 352, 58, 378, 89, 409, 66, 386, 36, 356, 65, 385, 92, 412, 59, 379)(39, 359, 69, 389, 103, 423, 107, 427, 73, 393, 49, 369, 77, 397, 70, 390)(52, 372, 80, 400, 115, 435, 87, 407, 55, 375, 86, 406, 118, 438, 81, 401)(61, 381, 95, 415, 132, 452, 100, 420, 129, 449, 168, 488, 126, 446, 90, 410)(64, 384, 98, 418, 137, 457, 161, 481, 120, 440, 91, 411, 127, 447, 99, 419)(68, 388, 101, 421, 139, 459, 106, 426, 71, 391, 105, 425, 141, 461, 102, 422)(75, 395, 108, 428, 146, 466, 114, 434, 78, 398, 113, 433, 149, 469, 109, 429)(82, 402, 119, 439, 159, 479, 124, 444, 97, 417, 136, 456, 156, 476, 116, 436)(85, 405, 122, 442, 163, 483, 194, 514, 151, 471, 117, 437, 157, 477, 123, 443)(94, 414, 130, 450, 172, 492, 135, 455, 96, 416, 134, 454, 174, 494, 131, 451)(104, 424, 143, 463, 185, 505, 144, 464, 145, 465, 187, 507, 182, 502, 140, 460)(110, 430, 150, 470, 192, 512, 154, 474, 121, 441, 162, 482, 189, 509, 147, 467)(112, 432, 152, 472, 195, 515, 184, 504, 142, 462, 148, 468, 190, 510, 153, 473)(125, 445, 165, 485, 209, 529, 171, 491, 128, 448, 170, 490, 212, 532, 166, 486)(133, 453, 176, 496, 222, 542, 265, 585, 214, 534, 173, 493, 219, 539, 177, 497)(138, 458, 180, 500, 205, 525, 160, 480, 204, 524, 256, 576, 224, 544, 178, 498)(155, 475, 197, 517, 247, 567, 202, 522, 158, 478, 201, 521, 250, 570, 198, 518)(164, 484, 208, 528, 244, 564, 193, 513, 243, 563, 281, 601, 258, 578, 206, 526)(167, 487, 213, 533, 263, 583, 217, 537, 175, 495, 221, 541, 262, 582, 210, 530)(169, 489, 215, 535, 245, 565, 225, 545, 179, 499, 211, 531, 239, 559, 216, 536)(181, 501, 227, 547, 269, 589, 231, 551, 183, 503, 230, 550, 260, 580, 228, 548)(186, 506, 196, 516, 246, 566, 275, 595, 235, 555, 232, 552, 261, 581, 234, 554)(188, 508, 236, 556, 226, 546, 241, 561, 191, 511, 240, 560, 277, 597, 237, 557)(199, 519, 251, 571, 284, 604, 254, 574, 203, 523, 255, 575, 283, 603, 248, 568)(200, 520, 252, 572, 220, 540, 259, 579, 207, 527, 249, 569, 218, 538, 253, 573)(223, 543, 267, 587, 292, 612, 264, 584, 291, 611, 305, 625, 293, 613, 266, 586)(229, 549, 271, 591, 296, 616, 272, 592, 233, 553, 273, 593, 295, 615, 270, 590)(238, 558, 278, 598, 301, 621, 279, 599, 242, 562, 280, 600, 300, 620, 276, 596)(257, 577, 287, 607, 306, 626, 285, 605, 268, 588, 294, 614, 307, 627, 286, 606)(274, 594, 289, 609, 309, 629, 297, 617, 299, 619, 290, 610, 310, 630, 298, 618)(282, 602, 304, 624, 313, 633, 302, 622, 288, 608, 308, 628, 314, 634, 303, 623)(311, 631, 316, 636, 319, 639, 317, 637, 312, 632, 315, 635, 320, 640, 318, 638)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 356)(19, 359)(20, 353)(21, 330)(22, 363)(23, 364)(24, 331)(25, 368)(26, 369)(27, 372)(28, 333)(29, 334)(30, 375)(31, 377)(32, 335)(33, 340)(34, 381)(35, 384)(36, 338)(37, 387)(38, 388)(39, 339)(40, 391)(41, 392)(42, 389)(43, 342)(44, 343)(45, 393)(46, 394)(47, 395)(48, 345)(49, 346)(50, 398)(51, 399)(52, 347)(53, 402)(54, 405)(55, 350)(56, 408)(57, 351)(58, 410)(59, 411)(60, 414)(61, 354)(62, 416)(63, 417)(64, 355)(65, 420)(66, 418)(67, 357)(68, 358)(69, 362)(70, 424)(71, 360)(72, 361)(73, 365)(74, 366)(75, 367)(76, 430)(77, 432)(78, 370)(79, 371)(80, 436)(81, 437)(82, 373)(83, 440)(84, 441)(85, 374)(86, 444)(87, 442)(88, 376)(89, 445)(90, 378)(91, 379)(92, 448)(93, 449)(94, 380)(95, 453)(96, 382)(97, 383)(98, 386)(99, 458)(100, 385)(101, 460)(102, 454)(103, 462)(104, 390)(105, 464)(106, 450)(107, 465)(108, 467)(109, 468)(110, 396)(111, 471)(112, 397)(113, 474)(114, 472)(115, 475)(116, 400)(117, 401)(118, 478)(119, 480)(120, 403)(121, 404)(122, 407)(123, 484)(124, 406)(125, 409)(126, 487)(127, 489)(128, 412)(129, 413)(130, 426)(131, 493)(132, 495)(133, 415)(134, 422)(135, 496)(136, 498)(137, 499)(138, 419)(139, 501)(140, 421)(141, 503)(142, 423)(143, 506)(144, 425)(145, 427)(146, 508)(147, 428)(148, 429)(149, 511)(150, 513)(151, 431)(152, 434)(153, 516)(154, 433)(155, 435)(156, 519)(157, 520)(158, 438)(159, 523)(160, 439)(161, 524)(162, 526)(163, 527)(164, 443)(165, 530)(166, 531)(167, 446)(168, 534)(169, 447)(170, 537)(171, 535)(172, 538)(173, 451)(174, 540)(175, 452)(176, 455)(177, 543)(178, 456)(179, 457)(180, 546)(181, 459)(182, 549)(183, 461)(184, 552)(185, 553)(186, 463)(187, 555)(188, 466)(189, 558)(190, 559)(191, 469)(192, 562)(193, 470)(194, 563)(195, 565)(196, 473)(197, 568)(198, 569)(199, 476)(200, 477)(201, 574)(202, 572)(203, 479)(204, 481)(205, 577)(206, 482)(207, 483)(208, 580)(209, 581)(210, 485)(211, 486)(212, 566)(213, 584)(214, 488)(215, 491)(216, 561)(217, 490)(218, 492)(219, 567)(220, 494)(221, 586)(222, 570)(223, 497)(224, 588)(225, 557)(226, 500)(227, 590)(228, 573)(229, 502)(230, 592)(231, 579)(232, 504)(233, 505)(234, 594)(235, 507)(236, 596)(237, 545)(238, 509)(239, 510)(240, 599)(241, 536)(242, 512)(243, 514)(244, 602)(245, 515)(246, 532)(247, 539)(248, 517)(249, 518)(250, 542)(251, 605)(252, 522)(253, 548)(254, 521)(255, 606)(256, 597)(257, 525)(258, 608)(259, 551)(260, 528)(261, 529)(262, 609)(263, 610)(264, 533)(265, 611)(266, 541)(267, 603)(268, 544)(269, 601)(270, 547)(271, 617)(272, 550)(273, 618)(274, 554)(275, 619)(276, 556)(277, 576)(278, 622)(279, 560)(280, 623)(281, 589)(282, 564)(283, 587)(284, 625)(285, 571)(286, 575)(287, 620)(288, 578)(289, 582)(290, 583)(291, 585)(292, 631)(293, 632)(294, 621)(295, 628)(296, 624)(297, 591)(298, 593)(299, 595)(300, 607)(301, 614)(302, 598)(303, 600)(304, 616)(305, 604)(306, 635)(307, 636)(308, 615)(309, 637)(310, 638)(311, 612)(312, 613)(313, 639)(314, 640)(315, 626)(316, 627)(317, 629)(318, 630)(319, 633)(320, 634)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Dual of E21.3142
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.3148 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X1 * X2)^4, (X1^-2 * X2 * X1^-1 * X2 * X1 * X2)^2, X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3, X1 * X2 * X1^-4 * X2 * X1 * X2 * X1^-1 * X2 * X1^-3 * X2, X1^-4 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1^-2 * X2, (X1 * X2 * X1)^5 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 124, 74, 40, 20)(12, 25, 47, 86, 153, 91, 50, 26)(16, 33, 61, 110, 193, 114, 63, 34)(17, 35, 64, 115, 173, 97, 53, 28)(21, 41, 75, 134, 224, 139, 77, 42)(24, 45, 82, 147, 239, 152, 85, 46)(29, 54, 98, 174, 210, 158, 88, 48)(32, 59, 106, 188, 254, 163, 109, 60)(36, 66, 119, 203, 179, 208, 121, 67)(39, 71, 128, 217, 157, 218, 130, 72)(43, 78, 140, 204, 279, 235, 142, 79)(44, 80, 143, 236, 296, 238, 146, 81)(49, 89, 159, 227, 263, 242, 149, 83)(52, 94, 167, 258, 302, 245, 170, 95)(55, 100, 178, 260, 252, 262, 180, 101)(58, 104, 185, 266, 301, 244, 151, 105)(62, 112, 196, 233, 141, 145, 190, 107)(65, 117, 202, 278, 270, 251, 160, 118)(68, 122, 209, 135, 225, 284, 211, 123)(70, 126, 214, 264, 182, 102, 181, 127)(73, 131, 219, 206, 120, 205, 221, 132)(76, 136, 226, 168, 96, 171, 228, 137)(84, 150, 215, 129, 192, 272, 199, 144)(87, 155, 207, 281, 311, 298, 250, 156)(90, 161, 125, 213, 187, 267, 253, 162)(93, 165, 256, 306, 317, 297, 237, 166)(99, 176, 111, 195, 273, 300, 243, 177)(103, 183, 216, 287, 319, 310, 265, 184)(108, 191, 271, 280, 305, 255, 164, 186)(113, 197, 275, 314, 303, 246, 257, 169)(116, 200, 277, 293, 231, 198, 276, 201)(133, 222, 290, 232, 175, 259, 291, 223)(138, 229, 240, 289, 220, 269, 189, 230)(148, 194, 261, 308, 320, 295, 288, 241)(154, 247, 292, 318, 286, 294, 234, 248)(172, 212, 285, 282, 274, 299, 304, 249)(268, 312, 316, 309, 315, 307, 283, 313)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 107)(60, 108)(61, 111)(63, 113)(64, 116)(66, 120)(67, 117)(69, 125)(72, 129)(74, 133)(75, 135)(77, 138)(78, 141)(79, 136)(80, 144)(81, 145)(82, 148)(85, 151)(86, 154)(88, 157)(89, 160)(91, 163)(92, 164)(94, 168)(95, 169)(97, 172)(98, 175)(100, 179)(101, 176)(104, 186)(105, 187)(106, 189)(109, 192)(110, 194)(112, 170)(114, 198)(115, 199)(118, 162)(119, 204)(121, 207)(122, 210)(123, 205)(124, 212)(126, 215)(127, 216)(128, 202)(130, 191)(131, 220)(132, 195)(134, 178)(137, 227)(139, 231)(140, 232)(142, 234)(143, 201)(146, 237)(147, 240)(149, 193)(150, 243)(152, 245)(153, 246)(155, 217)(156, 249)(158, 184)(159, 225)(161, 252)(165, 257)(166, 185)(167, 221)(171, 250)(173, 222)(174, 233)(177, 244)(180, 261)(181, 263)(182, 208)(183, 213)(188, 268)(190, 270)(196, 274)(197, 224)(200, 253)(203, 275)(206, 280)(209, 282)(211, 283)(214, 286)(218, 288)(219, 236)(223, 269)(226, 273)(228, 287)(229, 292)(230, 278)(235, 295)(238, 298)(239, 299)(241, 265)(242, 255)(247, 304)(248, 256)(251, 297)(254, 262)(258, 307)(259, 301)(260, 285)(264, 309)(266, 311)(267, 302)(271, 279)(272, 303)(276, 305)(277, 315)(281, 316)(284, 317)(289, 310)(290, 314)(291, 312)(293, 318)(294, 300)(296, 319)(306, 320)(308, 313)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E21.3149
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 40 e = 160 f = 80
	degree seq :: [ 8^40 ]

E21.3149 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 8})
Quotient :: halfedge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X2 * X1^-2 * X2 * X1^-1 * X2 * X1)^2, X1^-2 * X2 * X1^2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-2 * X2, (X1^-1 * X2)^8, X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2, X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 113, 70)(43, 71, 116, 72)(45, 74, 92, 75)(46, 76, 123, 77)(47, 78, 126, 79)(52, 86, 107, 87)(60, 98, 150, 99)(61, 100, 153, 101)(63, 103, 84, 104)(64, 105, 160, 106)(66, 108, 163, 109)(67, 110, 166, 111)(68, 112, 148, 96)(73, 119, 179, 120)(81, 129, 191, 130)(82, 131, 194, 132)(85, 134, 199, 135)(89, 139, 164, 140)(90, 141, 206, 142)(93, 144, 186, 145)(95, 146, 213, 147)(97, 149, 202, 137)(102, 156, 224, 157)(114, 170, 239, 171)(115, 172, 241, 173)(117, 175, 124, 176)(118, 177, 248, 178)(121, 182, 254, 183)(122, 184, 257, 185)(125, 187, 216, 151)(127, 188, 261, 189)(128, 138, 203, 190)(133, 197, 167, 198)(136, 169, 238, 201)(143, 209, 263, 210)(152, 217, 259, 218)(154, 220, 161, 221)(155, 222, 292, 223)(158, 227, 294, 228)(159, 229, 295, 230)(162, 231, 276, 204)(165, 233, 278, 234)(168, 236, 303, 237)(174, 244, 274, 245)(180, 251, 309, 252)(181, 232, 299, 253)(192, 212, 283, 264)(193, 265, 256, 266)(195, 268, 200, 269)(196, 270, 240, 271)(205, 250, 297, 277)(207, 279, 211, 280)(208, 249, 306, 242)(214, 285, 267, 286)(215, 287, 318, 288)(219, 246, 262, 290)(225, 260, 312, 258)(226, 284, 308, 293)(235, 301, 310, 302)(243, 289, 316, 307)(247, 296, 281, 298)(255, 272, 314, 291)(273, 313, 300, 315)(275, 311, 320, 304)(282, 305, 319, 317)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 114)(70, 115)(71, 117)(72, 118)(74, 121)(75, 122)(76, 124)(77, 125)(78, 127)(79, 128)(80, 110)(83, 133)(86, 136)(87, 137)(88, 138)(91, 143)(94, 126)(98, 151)(99, 152)(100, 154)(101, 155)(103, 158)(104, 159)(105, 161)(106, 162)(108, 164)(109, 165)(111, 167)(112, 168)(113, 169)(116, 174)(119, 180)(120, 181)(123, 186)(129, 192)(130, 193)(131, 195)(132, 196)(134, 200)(135, 170)(139, 204)(140, 205)(141, 207)(142, 208)(144, 211)(145, 212)(146, 191)(147, 214)(148, 179)(149, 215)(150, 188)(153, 219)(156, 225)(157, 226)(160, 199)(163, 232)(166, 235)(171, 240)(172, 242)(173, 243)(175, 246)(176, 247)(177, 249)(178, 250)(182, 255)(183, 256)(184, 258)(185, 259)(187, 260)(189, 262)(190, 263)(194, 267)(197, 272)(198, 273)(201, 274)(202, 224)(203, 275)(206, 278)(209, 281)(210, 282)(213, 284)(216, 248)(217, 271)(218, 289)(220, 234)(221, 291)(222, 270)(223, 265)(227, 252)(228, 241)(229, 296)(230, 297)(231, 298)(233, 300)(236, 254)(237, 304)(238, 305)(239, 251)(244, 268)(245, 308)(253, 310)(257, 311)(261, 313)(264, 306)(266, 307)(269, 312)(276, 292)(277, 316)(279, 286)(280, 309)(283, 314)(285, 299)(287, 294)(288, 302)(290, 319)(293, 303)(295, 301)(315, 320)(317, 318)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E21.3148
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 80 e = 160 f = 40
	degree seq :: [ 4^80 ]

E21.3150 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2^3 * X1 * X2^-1 * X1 * X2^4 * X1 * X2 * X1 * X2, (X1 * X2^-2 * X1 * X2^-1 * X1 * X2)^2, X2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2, (X2^-1 * X1)^8, X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 65)(40, 67)(42, 70)(43, 72)(45, 75)(47, 78)(48, 80)(50, 83)(51, 85)(52, 86)(53, 88)(55, 91)(56, 93)(58, 96)(60, 99)(61, 101)(63, 104)(64, 106)(66, 109)(68, 112)(69, 90)(71, 116)(73, 119)(74, 121)(76, 100)(77, 125)(79, 97)(81, 130)(82, 132)(84, 133)(87, 138)(89, 141)(92, 145)(94, 148)(95, 150)(98, 152)(102, 157)(103, 159)(105, 160)(107, 162)(108, 164)(110, 167)(111, 169)(113, 131)(114, 172)(115, 173)(117, 176)(118, 178)(120, 181)(122, 184)(123, 166)(124, 185)(126, 188)(127, 190)(128, 191)(129, 193)(134, 199)(135, 136)(137, 202)(139, 204)(140, 206)(142, 158)(143, 209)(144, 210)(146, 213)(147, 215)(149, 216)(151, 219)(153, 220)(154, 222)(155, 223)(156, 225)(161, 229)(163, 194)(165, 233)(168, 237)(170, 189)(171, 241)(174, 246)(175, 248)(177, 200)(179, 250)(180, 251)(182, 253)(183, 255)(186, 259)(187, 260)(192, 266)(195, 270)(196, 271)(197, 272)(198, 273)(201, 226)(203, 274)(205, 243)(207, 221)(208, 279)(211, 264)(212, 283)(214, 230)(217, 286)(218, 235)(224, 292)(227, 242)(228, 294)(231, 268)(232, 276)(234, 247)(236, 290)(238, 267)(239, 262)(240, 299)(244, 280)(245, 284)(249, 281)(252, 307)(254, 287)(256, 282)(257, 310)(258, 311)(261, 275)(263, 277)(265, 291)(269, 313)(278, 304)(285, 300)(288, 303)(289, 296)(293, 309)(295, 302)(297, 316)(298, 305)(301, 308)(306, 317)(312, 314)(315, 318)(319, 320)(321, 323, 328, 324)(322, 325, 331, 326)(327, 333, 344, 334)(329, 336, 349, 337)(330, 338, 352, 339)(332, 341, 357, 342)(335, 346, 365, 347)(340, 354, 378, 355)(343, 359, 386, 360)(345, 362, 391, 363)(348, 367, 399, 368)(350, 370, 404, 371)(351, 372, 407, 373)(353, 375, 412, 376)(356, 380, 420, 381)(358, 383, 425, 384)(361, 388, 433, 389)(364, 393, 440, 394)(366, 396, 444, 397)(369, 401, 451, 402)(374, 409, 462, 410)(377, 414, 469, 415)(379, 417, 471, 418)(382, 422, 478, 423)(385, 427, 483, 428)(387, 430, 488, 431)(390, 434, 403, 435)(392, 437, 497, 438)(395, 442, 416, 443)(398, 446, 509, 447)(400, 448, 512, 449)(405, 454, 520, 455)(406, 456, 521, 457)(408, 459, 525, 460)(411, 463, 424, 464)(413, 466, 534, 467)(419, 473, 541, 474)(421, 475, 544, 476)(426, 481, 550, 482)(429, 485, 554, 486)(432, 490, 560, 491)(436, 494, 567, 495)(439, 499, 468, 500)(441, 502, 574, 503)(445, 506, 480, 507)(450, 514, 589, 515)(452, 501, 572, 516)(453, 517, 472, 518)(458, 523, 576, 504)(461, 527, 598, 528)(465, 531, 602, 532)(470, 537, 607, 538)(477, 546, 613, 547)(479, 536, 605, 548)(484, 551, 545, 552)(487, 555, 496, 556)(489, 558, 618, 559)(492, 562, 622, 563)(493, 564, 623, 565)(498, 569, 625, 570)(505, 577, 591, 578)(508, 580, 632, 581)(510, 582, 542, 583)(511, 584, 519, 585)(513, 587, 522, 588)(524, 575, 533, 595)(526, 596, 637, 597)(529, 590, 617, 557)(530, 600, 630, 601)(535, 604, 626, 571)(539, 608, 614, 609)(540, 592, 634, 610)(543, 566, 549, 611)(553, 615, 639, 616)(561, 620, 586, 621)(568, 619, 603, 624)(573, 628, 579, 629)(593, 633, 606, 635)(594, 636, 640, 631)(599, 627, 612, 638)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 240 e = 320 f = 40
	degree seq :: [ 2^160, 4^80 ]

E21.3151 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, X2^8, (X2^-1 * X1)^5, X2^-1 * X1^-1 * X2^2 * X1^2 * X2^-1 * X1 * X2^-3 * X1, X1 * X2^-2 * X1^-2 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1, X2^-4 * X1^-1 * X2^3 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^3 * X1^-1 * X2^-1 * X1 * X2^3 * X1^-2 * X2^-2 * X1^-1, X2^2 * X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^4 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 34, 15)(10, 23, 49, 25)(12, 16, 35, 28)(14, 31, 62, 29)(17, 37, 76, 39)(20, 43, 85, 41)(22, 47, 92, 45)(24, 51, 103, 53)(26, 46, 93, 56)(27, 57, 113, 59)(30, 63, 83, 40)(32, 67, 128, 65)(33, 68, 132, 70)(36, 74, 141, 72)(38, 78, 151, 80)(42, 86, 139, 71)(44, 90, 169, 88)(48, 97, 167, 95)(50, 101, 133, 99)(52, 105, 189, 106)(54, 100, 159, 109)(55, 110, 145, 112)(58, 115, 155, 116)(60, 73, 142, 119)(61, 120, 203, 122)(64, 125, 210, 124)(66, 129, 138, 123)(69, 134, 107, 136)(75, 146, 126, 144)(77, 149, 114, 147)(79, 153, 242, 154)(81, 148, 227, 157)(82, 158, 96, 160)(84, 161, 250, 163)(87, 166, 257, 165)(89, 170, 118, 164)(91, 173, 267, 175)(94, 172, 265, 176)(98, 180, 277, 179)(102, 184, 275, 183)(104, 187, 268, 186)(108, 193, 266, 195)(111, 196, 117, 197)(121, 205, 244, 207)(127, 212, 279, 214)(130, 216, 291, 215)(131, 218, 231, 143)(135, 223, 299, 224)(137, 220, 202, 226)(140, 228, 304, 230)(150, 237, 217, 236)(152, 240, 204, 239)(156, 246, 211, 248)(162, 252, 301, 254)(168, 259, 313, 261)(171, 263, 319, 262)(174, 269, 191, 270)(177, 253, 314, 274)(178, 247, 317, 249)(181, 221, 295, 264)(182, 278, 298, 238)(185, 281, 300, 241)(188, 283, 294, 243)(190, 285, 296, 235)(192, 222, 297, 251)(194, 288, 198, 233)(199, 284, 312, 234)(200, 286, 305, 245)(201, 290, 219, 292)(206, 280, 311, 232)(208, 282, 309, 293)(209, 289, 308, 287)(213, 260, 310, 273)(225, 302, 258, 303)(229, 306, 276, 307)(255, 315, 272, 320)(256, 318, 271, 316)(321, 323, 330, 344, 372, 352, 334, 325)(322, 327, 337, 358, 399, 364, 340, 328)(324, 332, 347, 378, 418, 368, 342, 329)(326, 335, 353, 389, 455, 395, 356, 336)(331, 346, 375, 431, 505, 422, 370, 343)(333, 349, 381, 441, 526, 446, 384, 350)(338, 360, 402, 479, 558, 470, 397, 357)(339, 361, 404, 482, 573, 487, 407, 362)(341, 365, 411, 494, 579, 489, 414, 366)(345, 374, 428, 514, 604, 508, 424, 371)(348, 380, 438, 522, 603, 519, 434, 377)(351, 385, 447, 533, 594, 537, 450, 386)(354, 391, 458, 547, 616, 541, 453, 388)(355, 392, 460, 549, 532, 448, 463, 393)(359, 401, 476, 567, 504, 561, 472, 398)(363, 408, 488, 580, 534, 584, 491, 409)(367, 415, 497, 593, 631, 595, 498, 416)(369, 419, 501, 599, 627, 597, 502, 420)(373, 427, 512, 607, 624, 606, 510, 425)(376, 406, 485, 576, 625, 548, 461, 430)(379, 437, 521, 583, 615, 605, 520, 435)(382, 443, 459, 413, 496, 592, 524, 440)(383, 444, 529, 571, 481, 405, 484, 439)(387, 426, 511, 572, 483, 575, 539, 451)(390, 457, 545, 536, 557, 618, 542, 454)(394, 464, 552, 630, 581, 632, 553, 465)(396, 467, 554, 633, 590, 509, 555, 468)(400, 475, 565, 636, 587, 507, 563, 473)(403, 462, 551, 629, 588, 493, 412, 478)(410, 474, 564, 626, 550, 628, 586, 492)(417, 499, 596, 525, 442, 528, 578, 486)(421, 503, 600, 527, 562, 614, 540, 452)(423, 506, 602, 523, 560, 620, 543, 456)(429, 480, 569, 639, 612, 640, 585, 513)(432, 518, 611, 623, 613, 538, 610, 516)(433, 469, 556, 634, 574, 619, 601, 517)(436, 471, 559, 635, 570, 617, 598, 500)(445, 466, 544, 621, 589, 495, 591, 531)(449, 535, 608, 515, 609, 530, 566, 477)(490, 582, 637, 568, 638, 577, 622, 546)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E21.3153
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 320 f = 160
	degree seq :: [ 4^80, 8^40 ]

E21.3152 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X2^2, X1^8, (X2 * X1^-1)^4, (X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1)^2, X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3, X1 * X2 * X1^-4 * X2 * X1 * X2 * X1^-1 * X2 * X1^-3 * X2, X1^-4 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1^-2 * X2, (X1 * X2 * X1)^5 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 124, 74, 40, 20)(12, 25, 47, 86, 153, 91, 50, 26)(16, 33, 61, 110, 193, 114, 63, 34)(17, 35, 64, 115, 173, 97, 53, 28)(21, 41, 75, 134, 224, 139, 77, 42)(24, 45, 82, 147, 239, 152, 85, 46)(29, 54, 98, 174, 210, 158, 88, 48)(32, 59, 106, 188, 254, 163, 109, 60)(36, 66, 119, 203, 179, 208, 121, 67)(39, 71, 128, 217, 157, 218, 130, 72)(43, 78, 140, 204, 279, 235, 142, 79)(44, 80, 143, 236, 296, 238, 146, 81)(49, 89, 159, 227, 263, 242, 149, 83)(52, 94, 167, 258, 302, 245, 170, 95)(55, 100, 178, 260, 252, 262, 180, 101)(58, 104, 185, 266, 301, 244, 151, 105)(62, 112, 196, 233, 141, 145, 190, 107)(65, 117, 202, 278, 270, 251, 160, 118)(68, 122, 209, 135, 225, 284, 211, 123)(70, 126, 214, 264, 182, 102, 181, 127)(73, 131, 219, 206, 120, 205, 221, 132)(76, 136, 226, 168, 96, 171, 228, 137)(84, 150, 215, 129, 192, 272, 199, 144)(87, 155, 207, 281, 311, 298, 250, 156)(90, 161, 125, 213, 187, 267, 253, 162)(93, 165, 256, 306, 317, 297, 237, 166)(99, 176, 111, 195, 273, 300, 243, 177)(103, 183, 216, 287, 319, 310, 265, 184)(108, 191, 271, 280, 305, 255, 164, 186)(113, 197, 275, 314, 303, 246, 257, 169)(116, 200, 277, 293, 231, 198, 276, 201)(133, 222, 290, 232, 175, 259, 291, 223)(138, 229, 240, 289, 220, 269, 189, 230)(148, 194, 261, 308, 320, 295, 288, 241)(154, 247, 292, 318, 286, 294, 234, 248)(172, 212, 285, 282, 274, 299, 304, 249)(268, 312, 316, 309, 315, 307, 283, 313)(321, 323)(322, 326)(324, 329)(325, 332)(327, 336)(328, 337)(330, 341)(331, 344)(333, 348)(334, 349)(335, 352)(338, 356)(339, 359)(340, 353)(342, 363)(343, 364)(345, 368)(346, 369)(347, 372)(350, 375)(351, 378)(354, 382)(355, 385)(357, 388)(358, 390)(360, 393)(361, 396)(362, 391)(365, 403)(366, 404)(367, 407)(370, 410)(371, 413)(373, 416)(374, 419)(376, 422)(377, 423)(379, 427)(380, 428)(381, 431)(383, 433)(384, 436)(386, 440)(387, 437)(389, 445)(392, 449)(394, 453)(395, 455)(397, 458)(398, 461)(399, 456)(400, 464)(401, 465)(402, 468)(405, 471)(406, 474)(408, 477)(409, 480)(411, 483)(412, 484)(414, 488)(415, 489)(417, 492)(418, 495)(420, 499)(421, 496)(424, 506)(425, 507)(426, 509)(429, 512)(430, 514)(432, 490)(434, 518)(435, 519)(438, 482)(439, 524)(441, 527)(442, 530)(443, 525)(444, 532)(446, 535)(447, 536)(448, 522)(450, 511)(451, 540)(452, 515)(454, 498)(457, 547)(459, 551)(460, 552)(462, 554)(463, 521)(466, 557)(467, 560)(469, 513)(470, 563)(472, 565)(473, 566)(475, 537)(476, 569)(478, 504)(479, 545)(481, 572)(485, 577)(486, 505)(487, 541)(491, 570)(493, 542)(494, 553)(497, 564)(500, 581)(501, 583)(502, 528)(503, 533)(508, 588)(510, 590)(516, 594)(517, 544)(520, 573)(523, 595)(526, 600)(529, 602)(531, 603)(534, 606)(538, 608)(539, 556)(543, 589)(546, 593)(548, 607)(549, 612)(550, 598)(555, 615)(558, 618)(559, 619)(561, 585)(562, 575)(567, 624)(568, 576)(571, 617)(574, 582)(578, 627)(579, 621)(580, 605)(584, 629)(586, 631)(587, 622)(591, 599)(592, 623)(596, 625)(597, 635)(601, 636)(604, 637)(609, 630)(610, 634)(611, 632)(613, 638)(614, 620)(616, 639)(626, 640)(628, 633)
	L = (1, 321)(2, 322)(3, 323)(4, 324)(5, 325)(6, 326)(7, 327)(8, 328)(9, 329)(10, 330)(11, 331)(12, 332)(13, 333)(14, 334)(15, 335)(16, 336)(17, 337)(18, 338)(19, 339)(20, 340)(21, 341)(22, 342)(23, 343)(24, 344)(25, 345)(26, 346)(27, 347)(28, 348)(29, 349)(30, 350)(31, 351)(32, 352)(33, 353)(34, 354)(35, 355)(36, 356)(37, 357)(38, 358)(39, 359)(40, 360)(41, 361)(42, 362)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 379)(60, 380)(61, 381)(62, 382)(63, 383)(64, 384)(65, 385)(66, 386)(67, 387)(68, 388)(69, 389)(70, 390)(71, 391)(72, 392)(73, 393)(74, 394)(75, 395)(76, 396)(77, 397)(78, 398)(79, 399)(80, 400)(81, 401)(82, 402)(83, 403)(84, 404)(85, 405)(86, 406)(87, 407)(88, 408)(89, 409)(90, 410)(91, 411)(92, 412)(93, 413)(94, 414)(95, 415)(96, 416)(97, 417)(98, 418)(99, 419)(100, 420)(101, 421)(102, 422)(103, 423)(104, 424)(105, 425)(106, 426)(107, 427)(108, 428)(109, 429)(110, 430)(111, 431)(112, 432)(113, 433)(114, 434)(115, 435)(116, 436)(117, 437)(118, 438)(119, 439)(120, 440)(121, 441)(122, 442)(123, 443)(124, 444)(125, 445)(126, 446)(127, 447)(128, 448)(129, 449)(130, 450)(131, 451)(132, 452)(133, 453)(134, 454)(135, 455)(136, 456)(137, 457)(138, 458)(139, 459)(140, 460)(141, 461)(142, 462)(143, 463)(144, 464)(145, 465)(146, 466)(147, 467)(148, 468)(149, 469)(150, 470)(151, 471)(152, 472)(153, 473)(154, 474)(155, 475)(156, 476)(157, 477)(158, 478)(159, 479)(160, 480)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: chiral
Dual of E21.3154
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 320 f = 80
	degree seq :: [ 2^160, 8^40 ]

E21.3153 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X1^2, X2^4, X2^3 * X1 * X2^-1 * X1 * X2^4 * X1 * X2 * X1 * X2, (X1 * X2^-2 * X1 * X2^-1 * X1 * X2)^2, X2 * X1 * X2^-2 * X1 * X2^2 * X1 * X2^-2 * X1 * X2^-2 * X1 * X2, (X2^-1 * X1)^8, X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 ]
Map:: polyhedral non-degenerate
	R = (1, 321, 2, 322)(3, 323, 7, 327)(4, 324, 9, 329)(5, 325, 10, 330)(6, 326, 12, 332)(8, 328, 15, 335)(11, 331, 20, 340)(13, 333, 23, 343)(14, 334, 25, 345)(16, 336, 28, 348)(17, 337, 30, 350)(18, 338, 31, 351)(19, 339, 33, 353)(21, 341, 36, 356)(22, 342, 38, 358)(24, 344, 41, 361)(26, 346, 44, 364)(27, 347, 46, 366)(29, 349, 49, 369)(32, 352, 54, 374)(34, 354, 57, 377)(35, 355, 59, 379)(37, 357, 62, 382)(39, 359, 65, 385)(40, 360, 67, 387)(42, 362, 70, 390)(43, 363, 72, 392)(45, 365, 75, 395)(47, 367, 78, 398)(48, 368, 80, 400)(50, 370, 83, 403)(51, 371, 85, 405)(52, 372, 86, 406)(53, 373, 88, 408)(55, 375, 91, 411)(56, 376, 93, 413)(58, 378, 96, 416)(60, 380, 99, 419)(61, 381, 101, 421)(63, 383, 104, 424)(64, 384, 106, 426)(66, 386, 109, 429)(68, 388, 112, 432)(69, 389, 90, 410)(71, 391, 116, 436)(73, 393, 119, 439)(74, 394, 121, 441)(76, 396, 100, 420)(77, 397, 125, 445)(79, 399, 97, 417)(81, 401, 130, 450)(82, 402, 132, 452)(84, 404, 133, 453)(87, 407, 138, 458)(89, 409, 141, 461)(92, 412, 145, 465)(94, 414, 148, 468)(95, 415, 150, 470)(98, 418, 152, 472)(102, 422, 157, 477)(103, 423, 159, 479)(105, 425, 160, 480)(107, 427, 162, 482)(108, 428, 164, 484)(110, 430, 167, 487)(111, 431, 169, 489)(113, 433, 131, 451)(114, 434, 172, 492)(115, 435, 173, 493)(117, 437, 176, 496)(118, 438, 178, 498)(120, 440, 181, 501)(122, 442, 184, 504)(123, 443, 166, 486)(124, 444, 185, 505)(126, 446, 188, 508)(127, 447, 190, 510)(128, 448, 191, 511)(129, 449, 193, 513)(134, 454, 199, 519)(135, 455, 136, 456)(137, 457, 202, 522)(139, 459, 204, 524)(140, 460, 206, 526)(142, 462, 158, 478)(143, 463, 209, 529)(144, 464, 210, 530)(146, 466, 213, 533)(147, 467, 215, 535)(149, 469, 216, 536)(151, 471, 219, 539)(153, 473, 220, 540)(154, 474, 222, 542)(155, 475, 223, 543)(156, 476, 225, 545)(161, 481, 229, 549)(163, 483, 194, 514)(165, 485, 233, 553)(168, 488, 237, 557)(170, 490, 189, 509)(171, 491, 241, 561)(174, 494, 246, 566)(175, 495, 248, 568)(177, 497, 200, 520)(179, 499, 250, 570)(180, 500, 251, 571)(182, 502, 253, 573)(183, 503, 255, 575)(186, 506, 259, 579)(187, 507, 260, 580)(192, 512, 266, 586)(195, 515, 270, 590)(196, 516, 271, 591)(197, 517, 272, 592)(198, 518, 273, 593)(201, 521, 226, 546)(203, 523, 274, 594)(205, 525, 243, 563)(207, 527, 221, 541)(208, 528, 279, 599)(211, 531, 264, 584)(212, 532, 283, 603)(214, 534, 230, 550)(217, 537, 286, 606)(218, 538, 235, 555)(224, 544, 292, 612)(227, 547, 242, 562)(228, 548, 294, 614)(231, 551, 268, 588)(232, 552, 276, 596)(234, 554, 247, 567)(236, 556, 290, 610)(238, 558, 267, 587)(239, 559, 262, 582)(240, 560, 299, 619)(244, 564, 280, 600)(245, 565, 284, 604)(249, 569, 281, 601)(252, 572, 307, 627)(254, 574, 287, 607)(256, 576, 282, 602)(257, 577, 310, 630)(258, 578, 311, 631)(261, 581, 275, 595)(263, 583, 277, 597)(265, 585, 291, 611)(269, 589, 313, 633)(278, 598, 304, 624)(285, 605, 300, 620)(288, 608, 303, 623)(289, 609, 296, 616)(293, 613, 309, 629)(295, 615, 302, 622)(297, 617, 316, 636)(298, 618, 305, 625)(301, 621, 308, 628)(306, 626, 317, 637)(312, 632, 314, 634)(315, 635, 318, 638)(319, 639, 320, 640)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 331)(6, 322)(7, 333)(8, 324)(9, 336)(10, 338)(11, 326)(12, 341)(13, 344)(14, 327)(15, 346)(16, 349)(17, 329)(18, 352)(19, 330)(20, 354)(21, 357)(22, 332)(23, 359)(24, 334)(25, 362)(26, 365)(27, 335)(28, 367)(29, 337)(30, 370)(31, 372)(32, 339)(33, 375)(34, 378)(35, 340)(36, 380)(37, 342)(38, 383)(39, 386)(40, 343)(41, 388)(42, 391)(43, 345)(44, 393)(45, 347)(46, 396)(47, 399)(48, 348)(49, 401)(50, 404)(51, 350)(52, 407)(53, 351)(54, 409)(55, 412)(56, 353)(57, 414)(58, 355)(59, 417)(60, 420)(61, 356)(62, 422)(63, 425)(64, 358)(65, 427)(66, 360)(67, 430)(68, 433)(69, 361)(70, 434)(71, 363)(72, 437)(73, 440)(74, 364)(75, 442)(76, 444)(77, 366)(78, 446)(79, 368)(80, 448)(81, 451)(82, 369)(83, 435)(84, 371)(85, 454)(86, 456)(87, 373)(88, 459)(89, 462)(90, 374)(91, 463)(92, 376)(93, 466)(94, 469)(95, 377)(96, 443)(97, 471)(98, 379)(99, 473)(100, 381)(101, 475)(102, 478)(103, 382)(104, 464)(105, 384)(106, 481)(107, 483)(108, 385)(109, 485)(110, 488)(111, 387)(112, 490)(113, 389)(114, 403)(115, 390)(116, 494)(117, 497)(118, 392)(119, 499)(120, 394)(121, 502)(122, 416)(123, 395)(124, 397)(125, 506)(126, 509)(127, 398)(128, 512)(129, 400)(130, 514)(131, 402)(132, 501)(133, 517)(134, 520)(135, 405)(136, 521)(137, 406)(138, 523)(139, 525)(140, 408)(141, 527)(142, 410)(143, 424)(144, 411)(145, 531)(146, 534)(147, 413)(148, 500)(149, 415)(150, 537)(151, 418)(152, 518)(153, 541)(154, 419)(155, 544)(156, 421)(157, 546)(158, 423)(159, 536)(160, 507)(161, 550)(162, 426)(163, 428)(164, 551)(165, 554)(166, 429)(167, 555)(168, 431)(169, 558)(170, 560)(171, 432)(172, 562)(173, 564)(174, 567)(175, 436)(176, 556)(177, 438)(178, 569)(179, 468)(180, 439)(181, 572)(182, 574)(183, 441)(184, 458)(185, 577)(186, 480)(187, 445)(188, 580)(189, 447)(190, 582)(191, 584)(192, 449)(193, 587)(194, 589)(195, 450)(196, 452)(197, 472)(198, 453)(199, 585)(200, 455)(201, 457)(202, 588)(203, 576)(204, 575)(205, 460)(206, 596)(207, 598)(208, 461)(209, 590)(210, 600)(211, 602)(212, 465)(213, 595)(214, 467)(215, 604)(216, 605)(217, 607)(218, 470)(219, 608)(220, 592)(221, 474)(222, 583)(223, 566)(224, 476)(225, 552)(226, 613)(227, 477)(228, 479)(229, 611)(230, 482)(231, 545)(232, 484)(233, 615)(234, 486)(235, 496)(236, 487)(237, 529)(238, 618)(239, 489)(240, 491)(241, 620)(242, 622)(243, 492)(244, 623)(245, 493)(246, 549)(247, 495)(248, 619)(249, 625)(250, 498)(251, 535)(252, 516)(253, 628)(254, 503)(255, 533)(256, 504)(257, 591)(258, 505)(259, 629)(260, 632)(261, 508)(262, 542)(263, 510)(264, 519)(265, 511)(266, 621)(267, 522)(268, 513)(269, 515)(270, 617)(271, 578)(272, 634)(273, 633)(274, 636)(275, 524)(276, 637)(277, 526)(278, 528)(279, 627)(280, 630)(281, 530)(282, 532)(283, 624)(284, 626)(285, 548)(286, 635)(287, 538)(288, 614)(289, 539)(290, 540)(291, 543)(292, 638)(293, 547)(294, 609)(295, 639)(296, 553)(297, 557)(298, 559)(299, 603)(300, 586)(301, 561)(302, 563)(303, 565)(304, 568)(305, 570)(306, 571)(307, 612)(308, 579)(309, 573)(310, 601)(311, 594)(312, 581)(313, 606)(314, 610)(315, 593)(316, 640)(317, 597)(318, 599)(319, 616)(320, 631)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: chiral
Dual of E21.3151
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 160 e = 320 f = 120
	degree seq :: [ 4^160 ]

E21.3154 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1)^2, X2^8, (X2^-1 * X1)^5, X2^-1 * X1^-1 * X2^2 * X1^2 * X2^-1 * X1 * X2^-3 * X1, X1 * X2^-2 * X1^-2 * X2 * X1^-1 * X2^-2 * X1 * X2^-1 * X1, X2^-4 * X1^-1 * X2^3 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^3 * X1^-1 * X2^-1 * X1 * X2^3 * X1^-2 * X2^-2 * X1^-1, X2^2 * X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^4 * X1^-1 ]
Map::
	R = (1, 321, 2, 322, 6, 326, 4, 324)(3, 323, 9, 329, 21, 341, 11, 331)(5, 325, 13, 333, 18, 338, 7, 327)(8, 328, 19, 339, 34, 354, 15, 335)(10, 330, 23, 343, 49, 369, 25, 345)(12, 332, 16, 336, 35, 355, 28, 348)(14, 334, 31, 351, 62, 382, 29, 349)(17, 337, 37, 357, 76, 396, 39, 359)(20, 340, 43, 363, 85, 405, 41, 361)(22, 342, 47, 367, 92, 412, 45, 365)(24, 344, 51, 371, 103, 423, 53, 373)(26, 346, 46, 366, 93, 413, 56, 376)(27, 347, 57, 377, 113, 433, 59, 379)(30, 350, 63, 383, 83, 403, 40, 360)(32, 352, 67, 387, 128, 448, 65, 385)(33, 353, 68, 388, 132, 452, 70, 390)(36, 356, 74, 394, 141, 461, 72, 392)(38, 358, 78, 398, 151, 471, 80, 400)(42, 362, 86, 406, 139, 459, 71, 391)(44, 364, 90, 410, 169, 489, 88, 408)(48, 368, 97, 417, 167, 487, 95, 415)(50, 370, 101, 421, 133, 453, 99, 419)(52, 372, 105, 425, 189, 509, 106, 426)(54, 374, 100, 420, 159, 479, 109, 429)(55, 375, 110, 430, 145, 465, 112, 432)(58, 378, 115, 435, 155, 475, 116, 436)(60, 380, 73, 393, 142, 462, 119, 439)(61, 381, 120, 440, 203, 523, 122, 442)(64, 384, 125, 445, 210, 530, 124, 444)(66, 386, 129, 449, 138, 458, 123, 443)(69, 389, 134, 454, 107, 427, 136, 456)(75, 395, 146, 466, 126, 446, 144, 464)(77, 397, 149, 469, 114, 434, 147, 467)(79, 399, 153, 473, 242, 562, 154, 474)(81, 401, 148, 468, 227, 547, 157, 477)(82, 402, 158, 478, 96, 416, 160, 480)(84, 404, 161, 481, 250, 570, 163, 483)(87, 407, 166, 486, 257, 577, 165, 485)(89, 409, 170, 490, 118, 438, 164, 484)(91, 411, 173, 493, 267, 587, 175, 495)(94, 414, 172, 492, 265, 585, 176, 496)(98, 418, 180, 500, 277, 597, 179, 499)(102, 422, 184, 504, 275, 595, 183, 503)(104, 424, 187, 507, 268, 588, 186, 506)(108, 428, 193, 513, 266, 586, 195, 515)(111, 431, 196, 516, 117, 437, 197, 517)(121, 441, 205, 525, 244, 564, 207, 527)(127, 447, 212, 532, 279, 599, 214, 534)(130, 450, 216, 536, 291, 611, 215, 535)(131, 451, 218, 538, 231, 551, 143, 463)(135, 455, 223, 543, 299, 619, 224, 544)(137, 457, 220, 540, 202, 522, 226, 546)(140, 460, 228, 548, 304, 624, 230, 550)(150, 470, 237, 557, 217, 537, 236, 556)(152, 472, 240, 560, 204, 524, 239, 559)(156, 476, 246, 566, 211, 531, 248, 568)(162, 482, 252, 572, 301, 621, 254, 574)(168, 488, 259, 579, 313, 633, 261, 581)(171, 491, 263, 583, 319, 639, 262, 582)(174, 494, 269, 589, 191, 511, 270, 590)(177, 497, 253, 573, 314, 634, 274, 594)(178, 498, 247, 567, 317, 637, 249, 569)(181, 501, 221, 541, 295, 615, 264, 584)(182, 502, 278, 598, 298, 618, 238, 558)(185, 505, 281, 601, 300, 620, 241, 561)(188, 508, 283, 603, 294, 614, 243, 563)(190, 510, 285, 605, 296, 616, 235, 555)(192, 512, 222, 542, 297, 617, 251, 571)(194, 514, 288, 608, 198, 518, 233, 553)(199, 519, 284, 604, 312, 632, 234, 554)(200, 520, 286, 606, 305, 625, 245, 565)(201, 521, 290, 610, 219, 539, 292, 612)(206, 526, 280, 600, 311, 631, 232, 552)(208, 528, 282, 602, 309, 629, 293, 613)(209, 529, 289, 609, 308, 628, 287, 607)(213, 533, 260, 580, 310, 630, 273, 593)(225, 545, 302, 622, 258, 578, 303, 623)(229, 549, 306, 626, 276, 596, 307, 627)(255, 575, 315, 635, 272, 592, 320, 640)(256, 576, 318, 638, 271, 591, 316, 636)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 365)(22, 329)(23, 331)(24, 372)(25, 374)(26, 375)(27, 378)(28, 380)(29, 381)(30, 333)(31, 385)(32, 334)(33, 389)(34, 391)(35, 392)(36, 336)(37, 338)(38, 399)(39, 401)(40, 402)(41, 404)(42, 339)(43, 408)(44, 340)(45, 411)(46, 341)(47, 415)(48, 342)(49, 419)(50, 343)(51, 345)(52, 352)(53, 427)(54, 428)(55, 431)(56, 406)(57, 348)(58, 418)(59, 437)(60, 438)(61, 441)(62, 443)(63, 444)(64, 350)(65, 447)(66, 351)(67, 426)(68, 354)(69, 455)(70, 457)(71, 458)(72, 460)(73, 355)(74, 464)(75, 356)(76, 467)(77, 357)(78, 359)(79, 364)(80, 475)(81, 476)(82, 479)(83, 462)(84, 482)(85, 484)(86, 485)(87, 362)(88, 488)(89, 363)(90, 474)(91, 494)(92, 478)(93, 496)(94, 366)(95, 497)(96, 367)(97, 499)(98, 368)(99, 501)(100, 369)(101, 503)(102, 370)(103, 506)(104, 371)(105, 373)(106, 511)(107, 512)(108, 514)(109, 480)(110, 376)(111, 505)(112, 518)(113, 469)(114, 377)(115, 379)(116, 471)(117, 521)(118, 522)(119, 383)(120, 382)(121, 526)(122, 528)(123, 459)(124, 529)(125, 466)(126, 384)(127, 533)(128, 463)(129, 535)(130, 386)(131, 387)(132, 421)(133, 388)(134, 390)(135, 395)(136, 423)(137, 545)(138, 547)(139, 413)(140, 549)(141, 430)(142, 551)(143, 393)(144, 552)(145, 394)(146, 544)(147, 554)(148, 396)(149, 556)(150, 397)(151, 559)(152, 398)(153, 400)(154, 564)(155, 565)(156, 567)(157, 449)(158, 403)(159, 558)(160, 569)(161, 405)(162, 573)(163, 575)(164, 439)(165, 576)(166, 417)(167, 407)(168, 580)(169, 414)(170, 582)(171, 409)(172, 410)(173, 412)(174, 579)(175, 591)(176, 592)(177, 593)(178, 416)(179, 596)(180, 436)(181, 599)(182, 420)(183, 600)(184, 561)(185, 422)(186, 602)(187, 563)(188, 424)(189, 555)(190, 425)(191, 572)(192, 607)(193, 429)(194, 604)(195, 609)(196, 432)(197, 433)(198, 611)(199, 434)(200, 435)(201, 583)(202, 603)(203, 560)(204, 440)(205, 442)(206, 446)(207, 562)(208, 578)(209, 571)(210, 566)(211, 445)(212, 448)(213, 594)(214, 584)(215, 608)(216, 557)(217, 450)(218, 610)(219, 451)(220, 452)(221, 453)(222, 454)(223, 456)(224, 621)(225, 536)(226, 490)(227, 616)(228, 461)(229, 532)(230, 628)(231, 629)(232, 630)(233, 465)(234, 633)(235, 468)(236, 634)(237, 618)(238, 470)(239, 635)(240, 620)(241, 472)(242, 614)(243, 473)(244, 626)(245, 636)(246, 477)(247, 504)(248, 638)(249, 639)(250, 617)(251, 481)(252, 483)(253, 487)(254, 619)(255, 539)(256, 625)(257, 622)(258, 486)(259, 489)(260, 534)(261, 632)(262, 637)(263, 615)(264, 491)(265, 513)(266, 492)(267, 507)(268, 493)(269, 495)(270, 509)(271, 531)(272, 524)(273, 631)(274, 537)(275, 498)(276, 525)(277, 502)(278, 500)(279, 627)(280, 527)(281, 517)(282, 523)(283, 519)(284, 508)(285, 520)(286, 510)(287, 624)(288, 515)(289, 530)(290, 516)(291, 623)(292, 640)(293, 538)(294, 540)(295, 605)(296, 541)(297, 598)(298, 542)(299, 601)(300, 543)(301, 589)(302, 546)(303, 613)(304, 606)(305, 548)(306, 550)(307, 597)(308, 586)(309, 588)(310, 581)(311, 595)(312, 553)(313, 590)(314, 574)(315, 570)(316, 587)(317, 568)(318, 577)(319, 612)(320, 585)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E21.3152
Transitivity :: ET+ VT+
Graph::
	v = 80 e = 320 f = 200
	degree seq :: [ 8^80 ]

E21.3155 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
Aut   = ((C2 x C2 x C2 x C2) : C5) : C4 (small group id <320, 1635>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^4, X1^8, X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^6, X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^2 * X2, X2 * X1^-3 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^3, X1^3 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1, (X1^2 * X2)^5 ]
Map::
	R = (1, 321, 2, 322, 5, 325, 11, 331, 23, 343, 22, 342, 10, 330, 4, 324)(3, 323, 7, 327, 15, 335, 31, 351, 57, 377, 37, 357, 18, 338, 8, 328)(6, 326, 13, 333, 27, 347, 51, 371, 92, 412, 56, 376, 30, 350, 14, 334)(9, 329, 19, 339, 38, 358, 69, 389, 124, 444, 74, 394, 40, 360, 20, 340)(12, 332, 25, 345, 47, 367, 86, 406, 153, 473, 91, 411, 50, 370, 26, 346)(16, 336, 33, 353, 61, 381, 110, 430, 192, 512, 114, 434, 63, 383, 34, 354)(17, 337, 35, 355, 64, 384, 115, 435, 173, 493, 97, 417, 53, 373, 28, 348)(21, 341, 41, 361, 75, 395, 134, 454, 226, 546, 139, 459, 77, 397, 42, 362)(24, 344, 45, 365, 82, 402, 147, 467, 239, 559, 152, 472, 85, 405, 46, 366)(29, 349, 54, 374, 98, 418, 174, 494, 219, 539, 158, 478, 88, 408, 48, 368)(32, 352, 59, 379, 106, 426, 188, 508, 217, 537, 191, 511, 109, 429, 60, 380)(36, 356, 66, 386, 119, 439, 207, 527, 280, 600, 210, 530, 121, 441, 67, 387)(39, 359, 71, 391, 128, 448, 218, 538, 187, 507, 222, 542, 130, 450, 72, 392)(43, 363, 78, 398, 140, 460, 232, 552, 294, 614, 235, 555, 142, 462, 79, 399)(44, 364, 80, 400, 143, 463, 236, 556, 296, 616, 238, 558, 146, 466, 81, 401)(49, 369, 89, 409, 159, 479, 195, 515, 111, 431, 194, 514, 149, 469, 83, 403)(52, 372, 94, 414, 167, 487, 186, 506, 108, 428, 190, 510, 170, 490, 95, 415)(55, 375, 100, 420, 178, 498, 125, 445, 215, 535, 263, 583, 180, 500, 101, 421)(58, 378, 104, 424, 185, 505, 252, 572, 162, 482, 90, 410, 161, 481, 105, 425)(62, 382, 112, 432, 196, 516, 272, 592, 277, 597, 246, 566, 157, 477, 107, 427)(65, 385, 117, 437, 204, 524, 144, 464, 84, 404, 150, 470, 206, 526, 118, 438)(68, 388, 122, 442, 211, 531, 282, 602, 319, 639, 284, 604, 213, 533, 123, 443)(70, 390, 126, 446, 216, 536, 286, 606, 264, 584, 253, 573, 163, 483, 127, 447)(73, 393, 131, 451, 205, 525, 278, 598, 317, 637, 289, 609, 223, 543, 132, 452)(76, 396, 136, 456, 227, 547, 292, 612, 250, 570, 160, 480, 228, 548, 137, 457)(87, 407, 155, 475, 209, 529, 256, 576, 169, 489, 257, 577, 248, 568, 156, 476)(93, 413, 165, 485, 255, 575, 288, 608, 221, 541, 151, 471, 244, 564, 166, 486)(96, 416, 171, 491, 129, 449, 220, 540, 287, 607, 300, 620, 243, 563, 168, 488)(99, 419, 176, 496, 233, 553, 141, 461, 145, 465, 200, 520, 261, 581, 177, 497)(102, 422, 181, 501, 135, 455, 197, 517, 273, 593, 283, 603, 212, 532, 182, 502)(103, 423, 183, 503, 265, 585, 306, 626, 303, 623, 249, 569, 179, 499, 184, 504)(113, 433, 198, 518, 274, 594, 201, 521, 154, 474, 245, 565, 275, 595, 199, 519)(116, 436, 202, 522, 276, 596, 291, 611, 308, 628, 301, 621, 269, 589, 203, 523)(120, 440, 208, 528, 214, 534, 285, 605, 314, 634, 268, 588, 260, 580, 175, 495)(133, 453, 224, 544, 237, 557, 298, 618, 304, 624, 320, 640, 290, 610, 225, 545)(138, 458, 229, 549, 271, 591, 297, 617, 313, 633, 267, 587, 189, 509, 230, 550)(148, 468, 241, 561, 262, 582, 302, 622, 247, 567, 293, 613, 231, 551, 242, 562)(164, 484, 193, 513, 270, 590, 315, 635, 318, 638, 279, 599, 251, 571, 254, 574)(172, 492, 234, 554, 295, 615, 259, 579, 240, 560, 299, 619, 307, 627, 258, 578)(266, 586, 310, 630, 316, 636, 309, 629, 312, 632, 305, 625, 281, 601, 311, 631)
	L = (1, 323)(2, 326)(3, 321)(4, 329)(5, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 356)(19, 359)(20, 353)(21, 330)(22, 363)(23, 364)(24, 331)(25, 368)(26, 369)(27, 372)(28, 333)(29, 334)(30, 375)(31, 378)(32, 335)(33, 340)(34, 382)(35, 385)(36, 338)(37, 388)(38, 390)(39, 339)(40, 393)(41, 396)(42, 391)(43, 342)(44, 343)(45, 403)(46, 404)(47, 407)(48, 345)(49, 346)(50, 410)(51, 413)(52, 347)(53, 416)(54, 419)(55, 350)(56, 422)(57, 423)(58, 351)(59, 427)(60, 428)(61, 431)(62, 354)(63, 433)(64, 436)(65, 355)(66, 440)(67, 437)(68, 357)(69, 445)(70, 358)(71, 362)(72, 449)(73, 360)(74, 453)(75, 455)(76, 361)(77, 458)(78, 461)(79, 456)(80, 464)(81, 465)(82, 468)(83, 365)(84, 366)(85, 471)(86, 474)(87, 367)(88, 477)(89, 480)(90, 370)(91, 483)(92, 484)(93, 371)(94, 488)(95, 489)(96, 373)(97, 492)(98, 495)(99, 374)(100, 499)(101, 496)(102, 376)(103, 377)(104, 506)(105, 507)(106, 509)(107, 379)(108, 380)(109, 472)(110, 513)(111, 381)(112, 517)(113, 383)(114, 520)(115, 521)(116, 384)(117, 387)(118, 525)(119, 497)(120, 386)(121, 529)(122, 532)(123, 528)(124, 534)(125, 389)(126, 491)(127, 537)(128, 539)(129, 392)(130, 541)(131, 522)(132, 514)(133, 394)(134, 527)(135, 395)(136, 399)(137, 516)(138, 397)(139, 551)(140, 531)(141, 398)(142, 554)(143, 557)(144, 400)(145, 401)(146, 518)(147, 560)(148, 402)(149, 563)(150, 542)(151, 405)(152, 429)(153, 523)(154, 406)(155, 566)(156, 567)(157, 408)(158, 550)(159, 569)(160, 409)(161, 571)(162, 548)(163, 411)(164, 412)(165, 576)(166, 512)(167, 543)(168, 414)(169, 415)(170, 558)(171, 446)(172, 417)(173, 547)(174, 579)(175, 418)(176, 421)(177, 439)(178, 570)(179, 420)(180, 582)(181, 584)(182, 504)(183, 538)(184, 502)(185, 586)(186, 424)(187, 425)(188, 535)(189, 426)(190, 588)(191, 589)(192, 486)(193, 430)(194, 452)(195, 591)(196, 457)(197, 432)(198, 466)(199, 593)(200, 434)(201, 435)(202, 451)(203, 473)(204, 597)(205, 438)(206, 599)(207, 454)(208, 443)(209, 441)(210, 601)(211, 460)(212, 442)(213, 544)(214, 444)(215, 508)(216, 578)(217, 447)(218, 503)(219, 448)(220, 602)(221, 450)(222, 470)(223, 487)(224, 533)(225, 596)(226, 611)(227, 493)(228, 482)(229, 590)(230, 478)(231, 459)(232, 598)(233, 607)(234, 462)(235, 568)(236, 617)(237, 463)(238, 490)(239, 580)(240, 467)(241, 620)(242, 610)(243, 469)(244, 621)(245, 622)(246, 475)(247, 476)(248, 555)(249, 479)(250, 498)(251, 481)(252, 624)(253, 574)(254, 573)(255, 625)(256, 485)(257, 626)(258, 536)(259, 494)(260, 559)(261, 628)(262, 500)(263, 629)(264, 501)(265, 615)(266, 505)(267, 632)(268, 510)(269, 511)(270, 549)(271, 515)(272, 618)(273, 519)(274, 634)(275, 636)(276, 545)(277, 524)(278, 552)(279, 526)(280, 606)(281, 530)(282, 540)(283, 637)(284, 633)(285, 612)(286, 600)(287, 553)(288, 639)(289, 630)(290, 562)(291, 546)(292, 605)(293, 635)(294, 638)(295, 585)(296, 623)(297, 556)(298, 592)(299, 640)(300, 561)(301, 564)(302, 565)(303, 616)(304, 572)(305, 575)(306, 577)(307, 631)(308, 581)(309, 583)(310, 609)(311, 627)(312, 587)(313, 604)(314, 594)(315, 613)(316, 595)(317, 603)(318, 614)(319, 608)(320, 619)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 40 e = 320 f = 240
	degree seq :: [ 16^40 ]

E21.3156 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 16})
Quotient :: regular
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1 * T2 * T1^-2 * T2 * T1^2)^2, T1^16, (T2 * T1^-8)^2, (T2 * T1^6 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 105, 166, 165, 104, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 131, 201, 243, 222, 149, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 121, 189, 273, 242, 284, 200, 130, 78, 46, 26, 14)(9, 18, 32, 55, 92, 150, 223, 245, 167, 244, 214, 141, 86, 51, 29, 16)(12, 23, 41, 69, 115, 181, 264, 240, 164, 241, 272, 188, 120, 72, 42, 24)(19, 34, 58, 97, 156, 231, 247, 169, 106, 168, 246, 230, 155, 96, 57, 33)(22, 39, 67, 111, 176, 257, 238, 162, 103, 163, 239, 263, 180, 114, 68, 40)(28, 49, 83, 136, 208, 292, 356, 305, 221, 306, 327, 254, 173, 113, 84, 50)(30, 52, 87, 142, 215, 299, 352, 283, 202, 285, 322, 249, 174, 125, 75, 44)(35, 60, 100, 159, 235, 251, 171, 108, 64, 107, 170, 248, 234, 158, 99, 59)(38, 65, 109, 172, 252, 236, 160, 101, 61, 102, 161, 237, 256, 175, 110, 66)(45, 76, 126, 98, 157, 232, 315, 342, 274, 343, 367, 319, 250, 185, 117, 70)(48, 81, 135, 206, 289, 336, 265, 219, 148, 220, 304, 339, 269, 186, 119, 82)(53, 89, 145, 195, 279, 348, 287, 204, 132, 203, 286, 353, 302, 217, 144, 88)(56, 94, 153, 227, 311, 335, 373, 359, 298, 320, 261, 178, 112, 71, 118, 95)(74, 123, 193, 277, 345, 370, 329, 281, 199, 282, 351, 291, 207, 138, 179, 124)(77, 128, 93, 152, 226, 310, 344, 276, 190, 275, 213, 297, 350, 280, 196, 127)(80, 133, 187, 270, 324, 303, 218, 146, 90, 147, 182, 266, 328, 288, 205, 134)(85, 139, 211, 143, 216, 300, 361, 308, 224, 307, 321, 368, 354, 295, 210, 137)(116, 183, 267, 337, 374, 360, 318, 340, 271, 341, 378, 347, 278, 194, 255, 184)(122, 191, 262, 333, 309, 225, 151, 197, 129, 198, 258, 330, 296, 212, 140, 192)(154, 229, 294, 209, 293, 357, 372, 332, 314, 326, 253, 325, 369, 365, 313, 228)(177, 259, 331, 371, 366, 316, 233, 317, 334, 312, 364, 376, 338, 268, 323, 260)(290, 355, 375, 384, 382, 362, 301, 363, 377, 346, 379, 383, 381, 358, 380, 349)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 137)(84, 138)(86, 140)(87, 143)(89, 146)(91, 148)(92, 151)(95, 152)(96, 154)(97, 145)(99, 157)(100, 142)(102, 162)(104, 164)(105, 167)(108, 168)(109, 173)(110, 174)(111, 177)(114, 179)(115, 182)(117, 183)(118, 186)(120, 187)(121, 190)(124, 191)(125, 194)(126, 195)(128, 197)(130, 199)(131, 202)(134, 203)(135, 207)(136, 209)(139, 212)(141, 213)(144, 216)(147, 219)(149, 221)(150, 224)(153, 228)(155, 205)(156, 218)(158, 233)(159, 211)(160, 215)(161, 208)(163, 240)(165, 242)(166, 243)(169, 244)(170, 249)(171, 250)(172, 253)(175, 255)(176, 258)(178, 259)(180, 262)(181, 265)(184, 266)(185, 268)(188, 271)(189, 274)(192, 275)(193, 278)(196, 279)(198, 281)(200, 283)(201, 284)(204, 285)(206, 290)(210, 293)(214, 298)(217, 301)(220, 305)(222, 245)(223, 306)(225, 307)(226, 269)(227, 312)(229, 288)(230, 286)(231, 314)(232, 316)(234, 309)(235, 296)(236, 318)(237, 294)(238, 292)(239, 311)(241, 273)(246, 319)(247, 320)(248, 321)(251, 323)(252, 324)(254, 325)(256, 328)(257, 329)(260, 330)(261, 332)(263, 334)(264, 335)(267, 338)(270, 340)(272, 342)(276, 343)(277, 346)(280, 349)(282, 352)(287, 354)(289, 350)(291, 355)(295, 358)(297, 359)(299, 360)(300, 362)(302, 344)(303, 326)(304, 345)(308, 327)(310, 363)(313, 364)(315, 341)(317, 333)(322, 368)(331, 372)(336, 373)(337, 375)(339, 377)(347, 379)(348, 380)(351, 374)(353, 367)(356, 370)(357, 381)(361, 369)(365, 382)(366, 378)(371, 383)(376, 384)
	local type(s) :: { ( 3^16 ) }
Outer automorphisms :: reflexible
Dual of E21.3157
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.3157 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 16})
Quotient :: regular
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^16 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 171, 172)(124, 173, 162)(125, 174, 175)(126, 176, 158)(127, 177, 178)(128, 179, 180)(129, 181, 182)(130, 183, 184)(131, 185, 169)(132, 186, 161)(133, 187, 188)(134, 189, 190)(135, 191, 167)(136, 192, 193)(137, 194, 195)(138, 196, 197)(155, 209, 210)(156, 211, 203)(157, 212, 213)(159, 214, 215)(160, 216, 217)(163, 218, 207)(164, 219, 202)(165, 220, 221)(166, 222, 223)(168, 224, 225)(170, 226, 227)(198, 250, 251)(199, 252, 253)(200, 254, 255)(201, 256, 257)(204, 258, 259)(205, 260, 261)(206, 262, 263)(208, 264, 265)(228, 285, 286)(229, 287, 244)(230, 288, 289)(231, 290, 282)(232, 277, 291)(233, 292, 248)(234, 276, 243)(235, 273, 293)(236, 281, 294)(237, 279, 272)(238, 295, 296)(239, 297, 298)(240, 299, 300)(241, 301, 302)(242, 278, 303)(245, 304, 305)(246, 306, 307)(247, 308, 309)(249, 310, 311)(266, 321, 322)(267, 323, 280)(268, 324, 325)(269, 326, 318)(270, 315, 327)(271, 328, 283)(274, 317, 329)(275, 330, 331)(284, 332, 333)(312, 354, 355)(313, 356, 316)(314, 357, 319)(320, 358, 359)(334, 373, 372)(335, 364, 342)(336, 374, 362)(337, 365, 351)(338, 348, 375)(339, 370, 343)(340, 350, 371)(341, 376, 367)(344, 368, 361)(345, 377, 366)(346, 363, 349)(347, 369, 352)(353, 378, 379)(360, 381, 380)(382, 384, 383)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(139, 198)(140, 183)(141, 199)(142, 176)(143, 200)(144, 201)(145, 202)(146, 203)(147, 194)(148, 181)(149, 204)(150, 205)(151, 191)(152, 206)(153, 207)(154, 208)(171, 228)(172, 229)(173, 230)(174, 231)(175, 232)(177, 233)(178, 234)(179, 235)(180, 236)(182, 237)(184, 238)(185, 239)(186, 240)(187, 241)(188, 242)(189, 243)(190, 244)(192, 245)(193, 246)(195, 247)(196, 248)(197, 249)(209, 266)(210, 267)(211, 268)(212, 269)(213, 270)(214, 271)(215, 272)(216, 273)(217, 274)(218, 275)(219, 276)(220, 277)(221, 278)(222, 279)(223, 280)(224, 281)(225, 282)(226, 283)(227, 284)(250, 312)(251, 313)(252, 306)(253, 302)(254, 314)(255, 300)(256, 293)(257, 305)(258, 315)(259, 303)(260, 299)(261, 316)(262, 317)(263, 318)(264, 319)(265, 320)(285, 334)(286, 335)(287, 336)(288, 337)(289, 338)(290, 339)(291, 340)(292, 341)(294, 342)(295, 343)(296, 344)(297, 345)(298, 346)(301, 347)(304, 348)(307, 349)(308, 350)(309, 351)(310, 352)(311, 353)(321, 360)(322, 361)(323, 362)(324, 363)(325, 364)(326, 365)(327, 366)(328, 367)(329, 368)(330, 369)(331, 370)(332, 371)(333, 372)(354, 378)(355, 375)(356, 374)(357, 376)(358, 377)(359, 380)(373, 382)(379, 383)(381, 384)
	local type(s) :: { ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E21.3156
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 3^128 ]

E21.3158 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 16})
Quotient :: edge
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2 * T1 * T2^-1)^4, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^16 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 123, 124)(92, 125, 126)(93, 127, 128)(94, 129, 130)(95, 131, 132)(96, 133, 134)(97, 135, 136)(98, 137, 138)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(107, 155, 156)(108, 157, 158)(109, 159, 160)(110, 161, 162)(111, 163, 164)(112, 165, 166)(113, 167, 168)(114, 169, 170)(115, 171, 172)(116, 173, 174)(117, 175, 176)(118, 177, 178)(119, 179, 180)(120, 181, 182)(121, 183, 184)(122, 185, 186)(187, 231, 232)(188, 233, 203)(189, 234, 235)(190, 236, 237)(191, 238, 239)(192, 240, 207)(193, 241, 202)(194, 242, 243)(195, 244, 245)(196, 246, 247)(197, 248, 249)(198, 250, 251)(199, 252, 253)(200, 254, 255)(201, 256, 257)(204, 258, 259)(205, 260, 261)(206, 262, 263)(208, 264, 265)(209, 266, 267)(210, 268, 225)(211, 269, 270)(212, 271, 272)(213, 273, 274)(214, 275, 229)(215, 276, 224)(216, 277, 278)(217, 279, 280)(218, 281, 282)(219, 283, 284)(220, 285, 286)(221, 287, 288)(222, 289, 290)(223, 291, 292)(226, 293, 294)(227, 295, 296)(228, 297, 298)(230, 299, 300)(301, 341, 342)(302, 343, 309)(303, 344, 345)(304, 346, 318)(305, 315, 347)(306, 348, 310)(307, 317, 349)(308, 350, 351)(311, 352, 353)(312, 354, 355)(313, 356, 316)(314, 357, 319)(320, 358, 359)(321, 360, 361)(322, 362, 329)(323, 363, 364)(324, 365, 338)(325, 335, 366)(326, 367, 330)(327, 337, 368)(328, 369, 370)(331, 371, 372)(332, 373, 374)(333, 375, 336)(334, 376, 339)(340, 377, 378)(379, 383, 380)(381, 384, 382)(385, 386)(387, 391)(388, 392)(389, 393)(390, 394)(395, 403)(396, 404)(397, 405)(398, 406)(399, 407)(400, 408)(401, 409)(402, 410)(411, 427)(412, 428)(413, 429)(414, 430)(415, 431)(416, 432)(417, 433)(418, 434)(419, 435)(420, 436)(421, 437)(422, 438)(423, 439)(424, 440)(425, 441)(426, 442)(443, 475)(444, 476)(445, 477)(446, 478)(447, 479)(448, 480)(449, 481)(450, 482)(451, 483)(452, 484)(453, 485)(454, 486)(455, 487)(456, 488)(457, 489)(458, 490)(459, 491)(460, 492)(461, 493)(462, 494)(463, 495)(464, 496)(465, 497)(466, 498)(467, 499)(468, 500)(469, 501)(470, 502)(471, 503)(472, 504)(473, 505)(474, 506)(507, 571)(508, 572)(509, 573)(510, 546)(511, 574)(512, 575)(513, 558)(514, 542)(515, 576)(516, 577)(517, 578)(518, 579)(519, 564)(520, 580)(521, 556)(522, 581)(523, 582)(524, 553)(525, 583)(526, 545)(527, 584)(528, 585)(529, 586)(530, 587)(531, 567)(532, 551)(533, 588)(534, 589)(535, 563)(536, 590)(537, 591)(538, 592)(539, 593)(540, 594)(541, 595)(543, 596)(544, 597)(547, 598)(548, 599)(549, 600)(550, 601)(552, 602)(554, 603)(555, 604)(557, 605)(559, 606)(560, 607)(561, 608)(562, 609)(565, 610)(566, 611)(568, 612)(569, 613)(570, 614)(615, 685)(616, 686)(617, 687)(618, 688)(619, 689)(620, 690)(621, 666)(622, 661)(623, 691)(624, 692)(625, 660)(626, 657)(627, 675)(628, 665)(629, 693)(630, 663)(631, 656)(632, 694)(633, 695)(634, 696)(635, 697)(636, 679)(637, 674)(638, 698)(639, 672)(640, 662)(641, 678)(642, 699)(643, 676)(644, 671)(645, 700)(646, 701)(647, 702)(648, 703)(649, 704)(650, 705)(651, 706)(652, 707)(653, 708)(654, 709)(655, 710)(658, 711)(659, 712)(664, 713)(667, 714)(668, 715)(669, 716)(670, 717)(673, 718)(677, 719)(680, 720)(681, 721)(682, 722)(683, 723)(684, 724)(725, 763)(726, 756)(727, 748)(728, 759)(729, 746)(730, 749)(731, 758)(732, 754)(733, 755)(734, 760)(735, 751)(736, 752)(737, 745)(738, 761)(739, 750)(740, 747)(741, 753)(742, 757)(743, 764)(744, 765)(762, 766)(767, 768)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 32, 32 ), ( 32^3 ) }
Outer automorphisms :: reflexible
Dual of E21.3162
Transitivity :: ET+
Graph:: simple bipartite
	v = 320 e = 384 f = 24
	degree seq :: [ 2^192, 3^128 ]

E21.3159 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 16})
Quotient :: edge
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T2^-4 * T1^-1 * T2^2 * T1 * T2^-3 * T1 * T2^-1 * T1, (T2^7 * T1^-1)^2, T2^16, (T2^3 * T1^-1)^4, T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 198, 294, 239, 150, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 155, 243, 342, 271, 178, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 129, 214, 313, 371, 284, 188, 108, 62, 34, 17, 8)(10, 21, 40, 71, 124, 209, 306, 238, 338, 314, 289, 192, 112, 64, 35, 18)(12, 23, 43, 77, 134, 220, 323, 270, 293, 199, 295, 226, 140, 80, 44, 24)(15, 29, 53, 93, 162, 253, 352, 283, 341, 244, 343, 258, 168, 96, 54, 30)(20, 39, 70, 121, 205, 303, 237, 149, 236, 337, 376, 291, 195, 114, 65, 36)(25, 45, 81, 141, 170, 259, 358, 292, 197, 118, 200, 296, 231, 144, 82, 46)(28, 52, 92, 159, 250, 349, 269, 177, 268, 362, 290, 193, 113, 152, 87, 49)(31, 55, 97, 169, 180, 272, 363, 340, 242, 156, 245, 344, 263, 172, 98, 56)(33, 59, 103, 179, 142, 227, 331, 375, 312, 215, 315, 365, 276, 182, 104, 60)(38, 69, 120, 202, 300, 235, 148, 85, 147, 234, 251, 350, 257, 167, 115, 66)(42, 76, 132, 218, 320, 370, 282, 187, 281, 369, 339, 240, 151, 194, 127, 73)(47, 83, 145, 163, 254, 353, 275, 196, 116, 68, 119, 201, 297, 233, 146, 84)(51, 91, 158, 247, 347, 267, 176, 101, 175, 266, 321, 287, 191, 111, 153, 88)(57, 99, 173, 125, 210, 308, 230, 241, 154, 90, 157, 246, 345, 265, 174, 100)(61, 105, 183, 135, 221, 325, 262, 311, 213, 130, 216, 316, 367, 278, 184, 106)(63, 109, 189, 133, 78, 136, 222, 326, 380, 307, 381, 330, 372, 286, 190, 110)(72, 126, 211, 309, 382, 336, 374, 288, 373, 357, 256, 166, 95, 165, 208, 123)(75, 131, 217, 317, 368, 280, 186, 107, 185, 279, 206, 304, 225, 139, 212, 128)(79, 137, 223, 161, 94, 164, 255, 354, 384, 324, 377, 298, 378, 329, 224, 138)(122, 207, 305, 356, 335, 232, 334, 318, 383, 327, 364, 274, 181, 273, 302, 204)(143, 228, 332, 249, 160, 252, 351, 285, 361, 264, 299, 203, 301, 355, 333, 229)(171, 260, 359, 319, 219, 322, 379, 328, 366, 277, 346, 248, 348, 310, 360, 261)(385, 386, 388)(387, 392, 394)(389, 396, 390)(391, 399, 395)(393, 402, 404)(397, 409, 407)(398, 408, 412)(400, 415, 413)(401, 417, 405)(403, 420, 422)(406, 414, 426)(410, 431, 429)(411, 433, 435)(416, 441, 439)(418, 445, 443)(419, 447, 423)(421, 450, 452)(424, 444, 456)(425, 457, 459)(427, 430, 462)(428, 463, 436)(432, 469, 467)(434, 472, 474)(437, 440, 478)(438, 479, 460)(442, 485, 483)(446, 491, 489)(448, 495, 493)(449, 497, 453)(451, 500, 502)(454, 494, 506)(455, 507, 509)(458, 512, 514)(461, 517, 519)(464, 523, 521)(465, 468, 526)(466, 527, 520)(470, 533, 531)(471, 535, 475)(473, 538, 540)(476, 522, 544)(477, 545, 547)(480, 551, 549)(481, 484, 554)(482, 555, 548)(486, 561, 559)(487, 490, 564)(488, 565, 510)(492, 571, 569)(496, 541, 537)(498, 578, 536)(499, 552, 503)(501, 581, 583)(504, 577, 587)(505, 588, 590)(508, 557, 560)(511, 579, 515)(513, 597, 599)(516, 550, 603)(518, 567, 570)(524, 600, 596)(525, 563, 553)(528, 614, 612)(529, 532, 546)(530, 616, 611)(534, 622, 620)(539, 626, 628)(542, 624, 632)(543, 633, 635)(556, 646, 644)(558, 648, 643)(562, 654, 652)(566, 659, 657)(568, 661, 656)(572, 667, 665)(573, 575, 605)(574, 669, 591)(576, 672, 630)(580, 660, 584)(582, 677, 655)(585, 642, 682)(586, 683, 649)(589, 663, 666)(592, 641, 594)(593, 651, 691)(595, 658, 694)(598, 696, 698)(601, 675, 702)(602, 703, 705)(604, 664, 708)(606, 613, 711)(607, 609, 638)(608, 712, 636)(610, 714, 700)(615, 629, 625)(617, 701, 718)(618, 621, 634)(619, 720, 637)(623, 697, 722)(627, 725, 668)(631, 730, 662)(639, 645, 739)(640, 740, 706)(647, 699, 695)(650, 653, 704)(670, 742, 745)(671, 743, 709)(673, 759, 757)(674, 738, 685)(676, 756, 679)(678, 726, 755)(680, 749, 728)(681, 761, 752)(684, 729, 758)(686, 737, 688)(687, 754, 733)(689, 735, 763)(690, 764, 721)(692, 734, 716)(693, 732, 723)(707, 768, 746)(710, 767, 760)(713, 747, 750)(715, 719, 741)(717, 744, 748)(724, 762, 727)(731, 751, 765)(736, 766, 753)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4^3 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.3163
Transitivity :: ET+
Graph:: simple bipartite
	v = 152 e = 384 f = 192
	degree seq :: [ 3^128, 16^24 ]

E21.3160 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 16})
Quotient :: edge
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T1^-2 * T2 * T1^3 * T2)^2, T1^16, T1^-1 * T2 * T1^8 * T2 * T1^-7, (T2 * T1^6 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 137)(84, 138)(86, 140)(87, 143)(89, 146)(91, 148)(92, 151)(95, 152)(96, 154)(97, 145)(99, 157)(100, 142)(102, 162)(104, 164)(105, 167)(108, 168)(109, 173)(110, 174)(111, 177)(114, 179)(115, 182)(117, 183)(118, 186)(120, 187)(121, 190)(124, 191)(125, 194)(126, 195)(128, 197)(130, 199)(131, 202)(134, 203)(135, 207)(136, 209)(139, 212)(141, 213)(144, 216)(147, 219)(149, 221)(150, 224)(153, 228)(155, 205)(156, 218)(158, 233)(159, 211)(160, 215)(161, 208)(163, 240)(165, 242)(166, 243)(169, 244)(170, 249)(171, 250)(172, 253)(175, 255)(176, 258)(178, 259)(180, 262)(181, 265)(184, 266)(185, 268)(188, 271)(189, 274)(192, 275)(193, 278)(196, 279)(198, 281)(200, 283)(201, 284)(204, 285)(206, 290)(210, 293)(214, 298)(217, 301)(220, 305)(222, 245)(223, 306)(225, 307)(226, 269)(227, 312)(229, 288)(230, 286)(231, 314)(232, 316)(234, 309)(235, 296)(236, 318)(237, 294)(238, 292)(239, 311)(241, 273)(246, 319)(247, 320)(248, 321)(251, 323)(252, 324)(254, 325)(256, 328)(257, 329)(260, 330)(261, 332)(263, 334)(264, 335)(267, 338)(270, 340)(272, 342)(276, 343)(277, 346)(280, 349)(282, 352)(287, 354)(289, 350)(291, 355)(295, 358)(297, 359)(299, 360)(300, 362)(302, 344)(303, 326)(304, 345)(308, 327)(310, 363)(313, 364)(315, 341)(317, 333)(322, 368)(331, 372)(336, 373)(337, 375)(339, 377)(347, 379)(348, 380)(351, 374)(353, 367)(356, 370)(357, 381)(361, 369)(365, 382)(366, 378)(371, 383)(376, 384)(385, 386, 389, 395, 405, 421, 447, 489, 550, 549, 488, 446, 420, 404, 394, 388)(387, 391, 399, 411, 431, 463, 515, 585, 627, 606, 533, 475, 438, 415, 401, 392)(390, 397, 409, 427, 457, 505, 573, 657, 626, 668, 584, 514, 462, 430, 410, 398)(393, 402, 416, 439, 476, 534, 607, 629, 551, 628, 598, 525, 470, 435, 413, 400)(396, 407, 425, 453, 499, 565, 648, 624, 548, 625, 656, 572, 504, 456, 426, 408)(403, 418, 442, 481, 540, 615, 631, 553, 490, 552, 630, 614, 539, 480, 441, 417)(406, 423, 451, 495, 560, 641, 622, 546, 487, 547, 623, 647, 564, 498, 452, 424)(412, 433, 467, 520, 592, 676, 740, 689, 605, 690, 711, 638, 557, 497, 468, 434)(414, 436, 471, 526, 599, 683, 736, 667, 586, 669, 706, 633, 558, 509, 459, 428)(419, 444, 484, 543, 619, 635, 555, 492, 448, 491, 554, 632, 618, 542, 483, 443)(422, 449, 493, 556, 636, 620, 544, 485, 445, 486, 545, 621, 640, 559, 494, 450)(429, 460, 510, 482, 541, 616, 699, 726, 658, 727, 751, 703, 634, 569, 501, 454)(432, 465, 519, 590, 673, 720, 649, 603, 532, 604, 688, 723, 653, 570, 503, 466)(437, 473, 529, 579, 663, 732, 671, 588, 516, 587, 670, 737, 686, 601, 528, 472)(440, 478, 537, 611, 695, 719, 757, 743, 682, 704, 645, 562, 496, 455, 502, 479)(458, 507, 577, 661, 729, 754, 713, 665, 583, 666, 735, 675, 591, 522, 563, 508)(461, 512, 477, 536, 610, 694, 728, 660, 574, 659, 597, 681, 734, 664, 580, 511)(464, 517, 571, 654, 708, 687, 602, 530, 474, 531, 566, 650, 712, 672, 589, 518)(469, 523, 595, 527, 600, 684, 745, 692, 608, 691, 705, 752, 738, 679, 594, 521)(500, 567, 651, 721, 758, 744, 702, 724, 655, 725, 762, 731, 662, 578, 639, 568)(506, 575, 646, 717, 693, 609, 535, 581, 513, 582, 642, 714, 680, 596, 524, 576)(538, 613, 678, 593, 677, 741, 756, 716, 698, 710, 637, 709, 753, 749, 697, 612)(561, 643, 715, 755, 750, 700, 617, 701, 718, 696, 748, 760, 722, 652, 707, 644)(674, 739, 759, 768, 766, 746, 685, 747, 761, 730, 763, 767, 765, 742, 764, 733)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 6 ), ( 6^16 ) }
Outer automorphisms :: reflexible
Dual of E21.3161
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.3161 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 16})
Quotient :: loop
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2 * T1 * T2^-1)^4, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2^-1 * T1)^16 ]
Map::
	R = (1, 385, 3, 387, 4, 388)(2, 386, 5, 389, 6, 390)(7, 391, 11, 395, 12, 396)(8, 392, 13, 397, 14, 398)(9, 393, 15, 399, 16, 400)(10, 394, 17, 401, 18, 402)(19, 403, 27, 411, 28, 412)(20, 404, 29, 413, 30, 414)(21, 405, 31, 415, 32, 416)(22, 406, 33, 417, 34, 418)(23, 407, 35, 419, 36, 420)(24, 408, 37, 421, 38, 422)(25, 409, 39, 423, 40, 424)(26, 410, 41, 425, 42, 426)(43, 427, 59, 443, 60, 444)(44, 428, 61, 445, 62, 446)(45, 429, 63, 447, 64, 448)(46, 430, 65, 449, 66, 450)(47, 431, 67, 451, 68, 452)(48, 432, 69, 453, 70, 454)(49, 433, 71, 455, 72, 456)(50, 434, 73, 457, 74, 458)(51, 435, 75, 459, 76, 460)(52, 436, 77, 461, 78, 462)(53, 437, 79, 463, 80, 464)(54, 438, 81, 465, 82, 466)(55, 439, 83, 467, 84, 468)(56, 440, 85, 469, 86, 470)(57, 441, 87, 471, 88, 472)(58, 442, 89, 473, 90, 474)(91, 475, 123, 507, 124, 508)(92, 476, 125, 509, 126, 510)(93, 477, 127, 511, 128, 512)(94, 478, 129, 513, 130, 514)(95, 479, 131, 515, 132, 516)(96, 480, 133, 517, 134, 518)(97, 481, 135, 519, 136, 520)(98, 482, 137, 521, 138, 522)(99, 483, 139, 523, 140, 524)(100, 484, 141, 525, 142, 526)(101, 485, 143, 527, 144, 528)(102, 486, 145, 529, 146, 530)(103, 487, 147, 531, 148, 532)(104, 488, 149, 533, 150, 534)(105, 489, 151, 535, 152, 536)(106, 490, 153, 537, 154, 538)(107, 491, 155, 539, 156, 540)(108, 492, 157, 541, 158, 542)(109, 493, 159, 543, 160, 544)(110, 494, 161, 545, 162, 546)(111, 495, 163, 547, 164, 548)(112, 496, 165, 549, 166, 550)(113, 497, 167, 551, 168, 552)(114, 498, 169, 553, 170, 554)(115, 499, 171, 555, 172, 556)(116, 500, 173, 557, 174, 558)(117, 501, 175, 559, 176, 560)(118, 502, 177, 561, 178, 562)(119, 503, 179, 563, 180, 564)(120, 504, 181, 565, 182, 566)(121, 505, 183, 567, 184, 568)(122, 506, 185, 569, 186, 570)(187, 571, 231, 615, 232, 616)(188, 572, 233, 617, 203, 587)(189, 573, 234, 618, 235, 619)(190, 574, 236, 620, 237, 621)(191, 575, 238, 622, 239, 623)(192, 576, 240, 624, 207, 591)(193, 577, 241, 625, 202, 586)(194, 578, 242, 626, 243, 627)(195, 579, 244, 628, 245, 629)(196, 580, 246, 630, 247, 631)(197, 581, 248, 632, 249, 633)(198, 582, 250, 634, 251, 635)(199, 583, 252, 636, 253, 637)(200, 584, 254, 638, 255, 639)(201, 585, 256, 640, 257, 641)(204, 588, 258, 642, 259, 643)(205, 589, 260, 644, 261, 645)(206, 590, 262, 646, 263, 647)(208, 592, 264, 648, 265, 649)(209, 593, 266, 650, 267, 651)(210, 594, 268, 652, 225, 609)(211, 595, 269, 653, 270, 654)(212, 596, 271, 655, 272, 656)(213, 597, 273, 657, 274, 658)(214, 598, 275, 659, 229, 613)(215, 599, 276, 660, 224, 608)(216, 600, 277, 661, 278, 662)(217, 601, 279, 663, 280, 664)(218, 602, 281, 665, 282, 666)(219, 603, 283, 667, 284, 668)(220, 604, 285, 669, 286, 670)(221, 605, 287, 671, 288, 672)(222, 606, 289, 673, 290, 674)(223, 607, 291, 675, 292, 676)(226, 610, 293, 677, 294, 678)(227, 611, 295, 679, 296, 680)(228, 612, 297, 681, 298, 682)(230, 614, 299, 683, 300, 684)(301, 685, 341, 725, 342, 726)(302, 686, 343, 727, 309, 693)(303, 687, 344, 728, 345, 729)(304, 688, 346, 730, 318, 702)(305, 689, 315, 699, 347, 731)(306, 690, 348, 732, 310, 694)(307, 691, 317, 701, 349, 733)(308, 692, 350, 734, 351, 735)(311, 695, 352, 736, 353, 737)(312, 696, 354, 738, 355, 739)(313, 697, 356, 740, 316, 700)(314, 698, 357, 741, 319, 703)(320, 704, 358, 742, 359, 743)(321, 705, 360, 744, 361, 745)(322, 706, 362, 746, 329, 713)(323, 707, 363, 747, 364, 748)(324, 708, 365, 749, 338, 722)(325, 709, 335, 719, 366, 750)(326, 710, 367, 751, 330, 714)(327, 711, 337, 721, 368, 752)(328, 712, 369, 753, 370, 754)(331, 715, 371, 755, 372, 756)(332, 716, 373, 757, 374, 758)(333, 717, 375, 759, 336, 720)(334, 718, 376, 760, 339, 723)(340, 724, 377, 761, 378, 762)(379, 763, 383, 767, 380, 764)(381, 765, 384, 768, 382, 766)
	L = (1, 386)(2, 385)(3, 391)(4, 392)(5, 393)(6, 394)(7, 387)(8, 388)(9, 389)(10, 390)(11, 403)(12, 404)(13, 405)(14, 406)(15, 407)(16, 408)(17, 409)(18, 410)(19, 395)(20, 396)(21, 397)(22, 398)(23, 399)(24, 400)(25, 401)(26, 402)(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, 411)(44, 412)(45, 413)(46, 414)(47, 415)(48, 416)(49, 417)(50, 418)(51, 419)(52, 420)(53, 421)(54, 422)(55, 423)(56, 424)(57, 425)(58, 426)(59, 475)(60, 476)(61, 477)(62, 478)(63, 479)(64, 480)(65, 481)(66, 482)(67, 483)(68, 484)(69, 485)(70, 486)(71, 487)(72, 488)(73, 489)(74, 490)(75, 491)(76, 492)(77, 493)(78, 494)(79, 495)(80, 496)(81, 497)(82, 498)(83, 499)(84, 500)(85, 501)(86, 502)(87, 503)(88, 504)(89, 505)(90, 506)(91, 443)(92, 444)(93, 445)(94, 446)(95, 447)(96, 448)(97, 449)(98, 450)(99, 451)(100, 452)(101, 453)(102, 454)(103, 455)(104, 456)(105, 457)(106, 458)(107, 459)(108, 460)(109, 461)(110, 462)(111, 463)(112, 464)(113, 465)(114, 466)(115, 467)(116, 468)(117, 469)(118, 470)(119, 471)(120, 472)(121, 473)(122, 474)(123, 571)(124, 572)(125, 573)(126, 546)(127, 574)(128, 575)(129, 558)(130, 542)(131, 576)(132, 577)(133, 578)(134, 579)(135, 564)(136, 580)(137, 556)(138, 581)(139, 582)(140, 553)(141, 583)(142, 545)(143, 584)(144, 585)(145, 586)(146, 587)(147, 567)(148, 551)(149, 588)(150, 589)(151, 563)(152, 590)(153, 591)(154, 592)(155, 593)(156, 594)(157, 595)(158, 514)(159, 596)(160, 597)(161, 526)(162, 510)(163, 598)(164, 599)(165, 600)(166, 601)(167, 532)(168, 602)(169, 524)(170, 603)(171, 604)(172, 521)(173, 605)(174, 513)(175, 606)(176, 607)(177, 608)(178, 609)(179, 535)(180, 519)(181, 610)(182, 611)(183, 531)(184, 612)(185, 613)(186, 614)(187, 507)(188, 508)(189, 509)(190, 511)(191, 512)(192, 515)(193, 516)(194, 517)(195, 518)(196, 520)(197, 522)(198, 523)(199, 525)(200, 527)(201, 528)(202, 529)(203, 530)(204, 533)(205, 534)(206, 536)(207, 537)(208, 538)(209, 539)(210, 540)(211, 541)(212, 543)(213, 544)(214, 547)(215, 548)(216, 549)(217, 550)(218, 552)(219, 554)(220, 555)(221, 557)(222, 559)(223, 560)(224, 561)(225, 562)(226, 565)(227, 566)(228, 568)(229, 569)(230, 570)(231, 685)(232, 686)(233, 687)(234, 688)(235, 689)(236, 690)(237, 666)(238, 661)(239, 691)(240, 692)(241, 660)(242, 657)(243, 675)(244, 665)(245, 693)(246, 663)(247, 656)(248, 694)(249, 695)(250, 696)(251, 697)(252, 679)(253, 674)(254, 698)(255, 672)(256, 662)(257, 678)(258, 699)(259, 676)(260, 671)(261, 700)(262, 701)(263, 702)(264, 703)(265, 704)(266, 705)(267, 706)(268, 707)(269, 708)(270, 709)(271, 710)(272, 631)(273, 626)(274, 711)(275, 712)(276, 625)(277, 622)(278, 640)(279, 630)(280, 713)(281, 628)(282, 621)(283, 714)(284, 715)(285, 716)(286, 717)(287, 644)(288, 639)(289, 718)(290, 637)(291, 627)(292, 643)(293, 719)(294, 641)(295, 636)(296, 720)(297, 721)(298, 722)(299, 723)(300, 724)(301, 615)(302, 616)(303, 617)(304, 618)(305, 619)(306, 620)(307, 623)(308, 624)(309, 629)(310, 632)(311, 633)(312, 634)(313, 635)(314, 638)(315, 642)(316, 645)(317, 646)(318, 647)(319, 648)(320, 649)(321, 650)(322, 651)(323, 652)(324, 653)(325, 654)(326, 655)(327, 658)(328, 659)(329, 664)(330, 667)(331, 668)(332, 669)(333, 670)(334, 673)(335, 677)(336, 680)(337, 681)(338, 682)(339, 683)(340, 684)(341, 763)(342, 756)(343, 748)(344, 759)(345, 746)(346, 749)(347, 758)(348, 754)(349, 755)(350, 760)(351, 751)(352, 752)(353, 745)(354, 761)(355, 750)(356, 747)(357, 753)(358, 757)(359, 764)(360, 765)(361, 737)(362, 729)(363, 740)(364, 727)(365, 730)(366, 739)(367, 735)(368, 736)(369, 741)(370, 732)(371, 733)(372, 726)(373, 742)(374, 731)(375, 728)(376, 734)(377, 738)(378, 766)(379, 725)(380, 743)(381, 744)(382, 762)(383, 768)(384, 767)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.3160
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 6^128 ]

E21.3162 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 16})
Quotient :: loop
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T2^-4 * T1^-1 * T2^2 * T1 * T2^-3 * T1 * T2^-1 * T1, (T2^7 * T1^-1)^2, T2^16, (T2^3 * T1^-1)^4, T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1^-1 ]
Map::
	R = (1, 385, 3, 387, 9, 393, 19, 403, 37, 421, 67, 451, 117, 501, 198, 582, 294, 678, 239, 623, 150, 534, 86, 470, 48, 432, 26, 410, 13, 397, 5, 389)(2, 386, 6, 390, 14, 398, 27, 411, 50, 434, 89, 473, 155, 539, 243, 627, 342, 726, 271, 655, 178, 562, 102, 486, 58, 442, 32, 416, 16, 400, 7, 391)(4, 388, 11, 395, 22, 406, 41, 425, 74, 458, 129, 513, 214, 598, 313, 697, 371, 755, 284, 668, 188, 572, 108, 492, 62, 446, 34, 418, 17, 401, 8, 392)(10, 394, 21, 405, 40, 424, 71, 455, 124, 508, 209, 593, 306, 690, 238, 622, 338, 722, 314, 698, 289, 673, 192, 576, 112, 496, 64, 448, 35, 419, 18, 402)(12, 396, 23, 407, 43, 427, 77, 461, 134, 518, 220, 604, 323, 707, 270, 654, 293, 677, 199, 583, 295, 679, 226, 610, 140, 524, 80, 464, 44, 428, 24, 408)(15, 399, 29, 413, 53, 437, 93, 477, 162, 546, 253, 637, 352, 736, 283, 667, 341, 725, 244, 628, 343, 727, 258, 642, 168, 552, 96, 480, 54, 438, 30, 414)(20, 404, 39, 423, 70, 454, 121, 505, 205, 589, 303, 687, 237, 621, 149, 533, 236, 620, 337, 721, 376, 760, 291, 675, 195, 579, 114, 498, 65, 449, 36, 420)(25, 409, 45, 429, 81, 465, 141, 525, 170, 554, 259, 643, 358, 742, 292, 676, 197, 581, 118, 502, 200, 584, 296, 680, 231, 615, 144, 528, 82, 466, 46, 430)(28, 412, 52, 436, 92, 476, 159, 543, 250, 634, 349, 733, 269, 653, 177, 561, 268, 652, 362, 746, 290, 674, 193, 577, 113, 497, 152, 536, 87, 471, 49, 433)(31, 415, 55, 439, 97, 481, 169, 553, 180, 564, 272, 656, 363, 747, 340, 724, 242, 626, 156, 540, 245, 629, 344, 728, 263, 647, 172, 556, 98, 482, 56, 440)(33, 417, 59, 443, 103, 487, 179, 563, 142, 526, 227, 611, 331, 715, 375, 759, 312, 696, 215, 599, 315, 699, 365, 749, 276, 660, 182, 566, 104, 488, 60, 444)(38, 422, 69, 453, 120, 504, 202, 586, 300, 684, 235, 619, 148, 532, 85, 469, 147, 531, 234, 618, 251, 635, 350, 734, 257, 641, 167, 551, 115, 499, 66, 450)(42, 426, 76, 460, 132, 516, 218, 602, 320, 704, 370, 754, 282, 666, 187, 571, 281, 665, 369, 753, 339, 723, 240, 624, 151, 535, 194, 578, 127, 511, 73, 457)(47, 431, 83, 467, 145, 529, 163, 547, 254, 638, 353, 737, 275, 659, 196, 580, 116, 500, 68, 452, 119, 503, 201, 585, 297, 681, 233, 617, 146, 530, 84, 468)(51, 435, 91, 475, 158, 542, 247, 631, 347, 731, 267, 651, 176, 560, 101, 485, 175, 559, 266, 650, 321, 705, 287, 671, 191, 575, 111, 495, 153, 537, 88, 472)(57, 441, 99, 483, 173, 557, 125, 509, 210, 594, 308, 692, 230, 614, 241, 625, 154, 538, 90, 474, 157, 541, 246, 630, 345, 729, 265, 649, 174, 558, 100, 484)(61, 445, 105, 489, 183, 567, 135, 519, 221, 605, 325, 709, 262, 646, 311, 695, 213, 597, 130, 514, 216, 600, 316, 700, 367, 751, 278, 662, 184, 568, 106, 490)(63, 447, 109, 493, 189, 573, 133, 517, 78, 462, 136, 520, 222, 606, 326, 710, 380, 764, 307, 691, 381, 765, 330, 714, 372, 756, 286, 670, 190, 574, 110, 494)(72, 456, 126, 510, 211, 595, 309, 693, 382, 766, 336, 720, 374, 758, 288, 672, 373, 757, 357, 741, 256, 640, 166, 550, 95, 479, 165, 549, 208, 592, 123, 507)(75, 459, 131, 515, 217, 601, 317, 701, 368, 752, 280, 664, 186, 570, 107, 491, 185, 569, 279, 663, 206, 590, 304, 688, 225, 609, 139, 523, 212, 596, 128, 512)(79, 463, 137, 521, 223, 607, 161, 545, 94, 478, 164, 548, 255, 639, 354, 738, 384, 768, 324, 708, 377, 761, 298, 682, 378, 762, 329, 713, 224, 608, 138, 522)(122, 506, 207, 591, 305, 689, 356, 740, 335, 719, 232, 616, 334, 718, 318, 702, 383, 767, 327, 711, 364, 748, 274, 658, 181, 565, 273, 657, 302, 686, 204, 588)(143, 527, 228, 612, 332, 716, 249, 633, 160, 544, 252, 636, 351, 735, 285, 669, 361, 745, 264, 648, 299, 683, 203, 587, 301, 685, 355, 739, 333, 717, 229, 613)(171, 555, 260, 644, 359, 743, 319, 703, 219, 603, 322, 706, 379, 763, 328, 712, 366, 750, 277, 661, 346, 730, 248, 632, 348, 732, 310, 694, 360, 744, 261, 645)
	L = (1, 386)(2, 388)(3, 392)(4, 385)(5, 396)(6, 389)(7, 399)(8, 394)(9, 402)(10, 387)(11, 391)(12, 390)(13, 409)(14, 408)(15, 395)(16, 415)(17, 417)(18, 404)(19, 420)(20, 393)(21, 401)(22, 414)(23, 397)(24, 412)(25, 407)(26, 431)(27, 433)(28, 398)(29, 400)(30, 426)(31, 413)(32, 441)(33, 405)(34, 445)(35, 447)(36, 422)(37, 450)(38, 403)(39, 419)(40, 444)(41, 457)(42, 406)(43, 430)(44, 463)(45, 410)(46, 462)(47, 429)(48, 469)(49, 435)(50, 472)(51, 411)(52, 428)(53, 440)(54, 479)(55, 416)(56, 478)(57, 439)(58, 485)(59, 418)(60, 456)(61, 443)(62, 491)(63, 423)(64, 495)(65, 497)(66, 452)(67, 500)(68, 421)(69, 449)(70, 494)(71, 507)(72, 424)(73, 459)(74, 512)(75, 425)(76, 438)(77, 517)(78, 427)(79, 436)(80, 523)(81, 468)(82, 527)(83, 432)(84, 526)(85, 467)(86, 533)(87, 535)(88, 474)(89, 538)(90, 434)(91, 471)(92, 522)(93, 545)(94, 437)(95, 460)(96, 551)(97, 484)(98, 555)(99, 442)(100, 554)(101, 483)(102, 561)(103, 490)(104, 565)(105, 446)(106, 564)(107, 489)(108, 571)(109, 448)(110, 506)(111, 493)(112, 541)(113, 453)(114, 578)(115, 552)(116, 502)(117, 581)(118, 451)(119, 499)(120, 577)(121, 588)(122, 454)(123, 509)(124, 557)(125, 455)(126, 488)(127, 579)(128, 514)(129, 597)(130, 458)(131, 511)(132, 550)(133, 519)(134, 567)(135, 461)(136, 466)(137, 464)(138, 544)(139, 521)(140, 600)(141, 563)(142, 465)(143, 520)(144, 614)(145, 532)(146, 616)(147, 470)(148, 546)(149, 531)(150, 622)(151, 475)(152, 498)(153, 496)(154, 540)(155, 626)(156, 473)(157, 537)(158, 624)(159, 633)(160, 476)(161, 547)(162, 529)(163, 477)(164, 482)(165, 480)(166, 603)(167, 549)(168, 503)(169, 525)(170, 481)(171, 548)(172, 646)(173, 560)(174, 648)(175, 486)(176, 508)(177, 559)(178, 654)(179, 553)(180, 487)(181, 510)(182, 659)(183, 570)(184, 661)(185, 492)(186, 518)(187, 569)(188, 667)(189, 575)(190, 669)(191, 605)(192, 672)(193, 587)(194, 536)(195, 515)(196, 660)(197, 583)(198, 677)(199, 501)(200, 580)(201, 642)(202, 683)(203, 504)(204, 590)(205, 663)(206, 505)(207, 574)(208, 641)(209, 651)(210, 592)(211, 658)(212, 524)(213, 599)(214, 696)(215, 513)(216, 596)(217, 675)(218, 703)(219, 516)(220, 664)(221, 573)(222, 613)(223, 609)(224, 712)(225, 638)(226, 714)(227, 530)(228, 528)(229, 711)(230, 612)(231, 629)(232, 611)(233, 701)(234, 621)(235, 720)(236, 534)(237, 634)(238, 620)(239, 697)(240, 632)(241, 615)(242, 628)(243, 725)(244, 539)(245, 625)(246, 576)(247, 730)(248, 542)(249, 635)(250, 618)(251, 543)(252, 608)(253, 619)(254, 607)(255, 645)(256, 740)(257, 594)(258, 682)(259, 558)(260, 556)(261, 739)(262, 644)(263, 699)(264, 643)(265, 586)(266, 653)(267, 691)(268, 562)(269, 704)(270, 652)(271, 582)(272, 568)(273, 566)(274, 694)(275, 657)(276, 584)(277, 656)(278, 631)(279, 666)(280, 708)(281, 572)(282, 589)(283, 665)(284, 627)(285, 591)(286, 742)(287, 743)(288, 630)(289, 759)(290, 738)(291, 702)(292, 756)(293, 655)(294, 726)(295, 676)(296, 749)(297, 761)(298, 585)(299, 649)(300, 729)(301, 674)(302, 737)(303, 754)(304, 686)(305, 735)(306, 764)(307, 593)(308, 734)(309, 732)(310, 595)(311, 647)(312, 698)(313, 722)(314, 598)(315, 695)(316, 610)(317, 718)(318, 601)(319, 705)(320, 650)(321, 602)(322, 640)(323, 768)(324, 604)(325, 671)(326, 767)(327, 606)(328, 636)(329, 747)(330, 700)(331, 719)(332, 692)(333, 744)(334, 617)(335, 741)(336, 637)(337, 690)(338, 623)(339, 693)(340, 762)(341, 668)(342, 755)(343, 724)(344, 680)(345, 758)(346, 662)(347, 751)(348, 723)(349, 687)(350, 716)(351, 763)(352, 766)(353, 688)(354, 685)(355, 639)(356, 706)(357, 715)(358, 745)(359, 709)(360, 748)(361, 670)(362, 707)(363, 750)(364, 717)(365, 728)(366, 713)(367, 765)(368, 681)(369, 736)(370, 733)(371, 678)(372, 679)(373, 673)(374, 684)(375, 757)(376, 710)(377, 752)(378, 727)(379, 689)(380, 721)(381, 731)(382, 753)(383, 760)(384, 746)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3158
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 384 f = 320
	degree seq :: [ 32^24 ]

E21.3163 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 16})
Quotient :: loop
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, (T1^-2 * T2 * T1^3 * T2)^2, T1^16, T1^-1 * T2 * T1^8 * T2 * T1^-7, (T2 * T1^6 * T2 * T1^-1)^2, T2 * T1^2 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 385, 3, 387)(2, 386, 6, 390)(4, 388, 9, 393)(5, 389, 12, 396)(7, 391, 16, 400)(8, 392, 13, 397)(10, 394, 19, 403)(11, 395, 22, 406)(14, 398, 23, 407)(15, 399, 28, 412)(17, 401, 30, 414)(18, 402, 33, 417)(20, 404, 35, 419)(21, 405, 38, 422)(24, 408, 39, 423)(25, 409, 44, 428)(26, 410, 45, 429)(27, 411, 48, 432)(29, 413, 49, 433)(31, 415, 53, 437)(32, 416, 56, 440)(34, 418, 59, 443)(36, 420, 61, 445)(37, 421, 64, 448)(40, 424, 65, 449)(41, 425, 70, 454)(42, 426, 71, 455)(43, 427, 74, 458)(46, 430, 77, 461)(47, 431, 80, 464)(50, 434, 81, 465)(51, 435, 85, 469)(52, 436, 88, 472)(54, 438, 90, 474)(55, 439, 93, 477)(57, 441, 94, 478)(58, 442, 98, 482)(60, 444, 101, 485)(62, 446, 103, 487)(63, 447, 106, 490)(66, 450, 107, 491)(67, 451, 112, 496)(68, 452, 113, 497)(69, 453, 116, 500)(72, 456, 119, 503)(73, 457, 122, 506)(75, 459, 123, 507)(76, 460, 127, 511)(78, 462, 129, 513)(79, 463, 132, 516)(82, 466, 133, 517)(83, 467, 137, 521)(84, 468, 138, 522)(86, 470, 140, 524)(87, 471, 143, 527)(89, 473, 146, 530)(91, 475, 148, 532)(92, 476, 151, 535)(95, 479, 152, 536)(96, 480, 154, 538)(97, 481, 145, 529)(99, 483, 157, 541)(100, 484, 142, 526)(102, 486, 162, 546)(104, 488, 164, 548)(105, 489, 167, 551)(108, 492, 168, 552)(109, 493, 173, 557)(110, 494, 174, 558)(111, 495, 177, 561)(114, 498, 179, 563)(115, 499, 182, 566)(117, 501, 183, 567)(118, 502, 186, 570)(120, 504, 187, 571)(121, 505, 190, 574)(124, 508, 191, 575)(125, 509, 194, 578)(126, 510, 195, 579)(128, 512, 197, 581)(130, 514, 199, 583)(131, 515, 202, 586)(134, 518, 203, 587)(135, 519, 207, 591)(136, 520, 209, 593)(139, 523, 212, 596)(141, 525, 213, 597)(144, 528, 216, 600)(147, 531, 219, 603)(149, 533, 221, 605)(150, 534, 224, 608)(153, 537, 228, 612)(155, 539, 205, 589)(156, 540, 218, 602)(158, 542, 233, 617)(159, 543, 211, 595)(160, 544, 215, 599)(161, 545, 208, 592)(163, 547, 240, 624)(165, 549, 242, 626)(166, 550, 243, 627)(169, 553, 244, 628)(170, 554, 249, 633)(171, 555, 250, 634)(172, 556, 253, 637)(175, 559, 255, 639)(176, 560, 258, 642)(178, 562, 259, 643)(180, 564, 262, 646)(181, 565, 265, 649)(184, 568, 266, 650)(185, 569, 268, 652)(188, 572, 271, 655)(189, 573, 274, 658)(192, 576, 275, 659)(193, 577, 278, 662)(196, 580, 279, 663)(198, 582, 281, 665)(200, 584, 283, 667)(201, 585, 284, 668)(204, 588, 285, 669)(206, 590, 290, 674)(210, 594, 293, 677)(214, 598, 298, 682)(217, 601, 301, 685)(220, 604, 305, 689)(222, 606, 245, 629)(223, 607, 306, 690)(225, 609, 307, 691)(226, 610, 269, 653)(227, 611, 312, 696)(229, 613, 288, 672)(230, 614, 286, 670)(231, 615, 314, 698)(232, 616, 316, 700)(234, 618, 309, 693)(235, 619, 296, 680)(236, 620, 318, 702)(237, 621, 294, 678)(238, 622, 292, 676)(239, 623, 311, 695)(241, 625, 273, 657)(246, 630, 319, 703)(247, 631, 320, 704)(248, 632, 321, 705)(251, 635, 323, 707)(252, 636, 324, 708)(254, 638, 325, 709)(256, 640, 328, 712)(257, 641, 329, 713)(260, 644, 330, 714)(261, 645, 332, 716)(263, 647, 334, 718)(264, 648, 335, 719)(267, 651, 338, 722)(270, 654, 340, 724)(272, 656, 342, 726)(276, 660, 343, 727)(277, 661, 346, 730)(280, 664, 349, 733)(282, 666, 352, 736)(287, 671, 354, 738)(289, 673, 350, 734)(291, 675, 355, 739)(295, 679, 358, 742)(297, 681, 359, 743)(299, 683, 360, 744)(300, 684, 362, 746)(302, 686, 344, 728)(303, 687, 326, 710)(304, 688, 345, 729)(308, 692, 327, 711)(310, 694, 363, 747)(313, 697, 364, 748)(315, 699, 341, 725)(317, 701, 333, 717)(322, 706, 368, 752)(331, 715, 372, 756)(336, 720, 373, 757)(337, 721, 375, 759)(339, 723, 377, 761)(347, 731, 379, 763)(348, 732, 380, 764)(351, 735, 374, 758)(353, 737, 367, 751)(356, 740, 370, 754)(357, 741, 381, 765)(361, 745, 369, 753)(365, 749, 382, 766)(366, 750, 378, 762)(371, 755, 383, 767)(376, 760, 384, 768)
	L = (1, 386)(2, 389)(3, 391)(4, 385)(5, 395)(6, 397)(7, 399)(8, 387)(9, 402)(10, 388)(11, 405)(12, 407)(13, 409)(14, 390)(15, 411)(16, 393)(17, 392)(18, 416)(19, 418)(20, 394)(21, 421)(22, 423)(23, 425)(24, 396)(25, 427)(26, 398)(27, 431)(28, 433)(29, 400)(30, 436)(31, 401)(32, 439)(33, 403)(34, 442)(35, 444)(36, 404)(37, 447)(38, 449)(39, 451)(40, 406)(41, 453)(42, 408)(43, 457)(44, 414)(45, 460)(46, 410)(47, 463)(48, 465)(49, 467)(50, 412)(51, 413)(52, 471)(53, 473)(54, 415)(55, 476)(56, 478)(57, 417)(58, 481)(59, 419)(60, 484)(61, 486)(62, 420)(63, 489)(64, 491)(65, 493)(66, 422)(67, 495)(68, 424)(69, 499)(70, 429)(71, 502)(72, 426)(73, 505)(74, 507)(75, 428)(76, 510)(77, 512)(78, 430)(79, 515)(80, 517)(81, 519)(82, 432)(83, 520)(84, 434)(85, 523)(86, 435)(87, 526)(88, 437)(89, 529)(90, 531)(91, 438)(92, 534)(93, 536)(94, 537)(95, 440)(96, 441)(97, 540)(98, 541)(99, 443)(100, 543)(101, 445)(102, 545)(103, 547)(104, 446)(105, 550)(106, 552)(107, 554)(108, 448)(109, 556)(110, 450)(111, 560)(112, 455)(113, 468)(114, 452)(115, 565)(116, 567)(117, 454)(118, 479)(119, 466)(120, 456)(121, 573)(122, 575)(123, 577)(124, 458)(125, 459)(126, 482)(127, 461)(128, 477)(129, 582)(130, 462)(131, 585)(132, 587)(133, 571)(134, 464)(135, 590)(136, 592)(137, 469)(138, 563)(139, 595)(140, 576)(141, 470)(142, 599)(143, 600)(144, 472)(145, 579)(146, 474)(147, 566)(148, 604)(149, 475)(150, 607)(151, 581)(152, 610)(153, 611)(154, 613)(155, 480)(156, 615)(157, 616)(158, 483)(159, 619)(160, 485)(161, 621)(162, 487)(163, 623)(164, 625)(165, 488)(166, 549)(167, 628)(168, 630)(169, 490)(170, 632)(171, 492)(172, 636)(173, 497)(174, 509)(175, 494)(176, 641)(177, 643)(178, 496)(179, 508)(180, 498)(181, 648)(182, 650)(183, 651)(184, 500)(185, 501)(186, 503)(187, 654)(188, 504)(189, 657)(190, 659)(191, 646)(192, 506)(193, 661)(194, 639)(195, 663)(196, 511)(197, 513)(198, 642)(199, 666)(200, 514)(201, 627)(202, 669)(203, 670)(204, 516)(205, 518)(206, 673)(207, 522)(208, 676)(209, 677)(210, 521)(211, 527)(212, 524)(213, 681)(214, 525)(215, 683)(216, 684)(217, 528)(218, 530)(219, 532)(220, 688)(221, 690)(222, 533)(223, 629)(224, 691)(225, 535)(226, 694)(227, 695)(228, 538)(229, 678)(230, 539)(231, 631)(232, 699)(233, 701)(234, 542)(235, 635)(236, 544)(237, 640)(238, 546)(239, 647)(240, 548)(241, 656)(242, 668)(243, 606)(244, 598)(245, 551)(246, 614)(247, 553)(248, 618)(249, 558)(250, 569)(251, 555)(252, 620)(253, 709)(254, 557)(255, 568)(256, 559)(257, 622)(258, 714)(259, 715)(260, 561)(261, 562)(262, 717)(263, 564)(264, 624)(265, 603)(266, 712)(267, 721)(268, 707)(269, 570)(270, 708)(271, 725)(272, 572)(273, 626)(274, 727)(275, 597)(276, 574)(277, 729)(278, 578)(279, 732)(280, 580)(281, 583)(282, 735)(283, 586)(284, 584)(285, 706)(286, 737)(287, 588)(288, 589)(289, 720)(290, 739)(291, 591)(292, 740)(293, 741)(294, 593)(295, 594)(296, 596)(297, 734)(298, 704)(299, 736)(300, 745)(301, 747)(302, 601)(303, 602)(304, 723)(305, 605)(306, 711)(307, 705)(308, 608)(309, 609)(310, 728)(311, 719)(312, 748)(313, 612)(314, 710)(315, 726)(316, 617)(317, 718)(318, 724)(319, 634)(320, 645)(321, 752)(322, 633)(323, 644)(324, 687)(325, 753)(326, 637)(327, 638)(328, 672)(329, 665)(330, 680)(331, 755)(332, 698)(333, 693)(334, 696)(335, 757)(336, 649)(337, 758)(338, 652)(339, 653)(340, 655)(341, 762)(342, 658)(343, 751)(344, 660)(345, 754)(346, 763)(347, 662)(348, 671)(349, 674)(350, 664)(351, 675)(352, 667)(353, 686)(354, 679)(355, 759)(356, 689)(357, 756)(358, 764)(359, 682)(360, 702)(361, 692)(362, 685)(363, 761)(364, 760)(365, 697)(366, 700)(367, 703)(368, 738)(369, 749)(370, 713)(371, 750)(372, 716)(373, 743)(374, 744)(375, 768)(376, 722)(377, 730)(378, 731)(379, 767)(380, 733)(381, 742)(382, 746)(383, 765)(384, 766)
	local type(s) :: { ( 3, 16, 3, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.3159
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 192 e = 384 f = 152
	degree seq :: [ 4^192 ]

E21.3164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|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 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, (Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^4, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 8, 392)(5, 389, 9, 393)(6, 390, 10, 394)(11, 395, 19, 403)(12, 396, 20, 404)(13, 397, 21, 405)(14, 398, 22, 406)(15, 399, 23, 407)(16, 400, 24, 408)(17, 401, 25, 409)(18, 402, 26, 410)(27, 411, 43, 427)(28, 412, 44, 428)(29, 413, 45, 429)(30, 414, 46, 430)(31, 415, 47, 431)(32, 416, 48, 432)(33, 417, 49, 433)(34, 418, 50, 434)(35, 419, 51, 435)(36, 420, 52, 436)(37, 421, 53, 437)(38, 422, 54, 438)(39, 423, 55, 439)(40, 424, 56, 440)(41, 425, 57, 441)(42, 426, 58, 442)(59, 443, 91, 475)(60, 444, 92, 476)(61, 445, 93, 477)(62, 446, 94, 478)(63, 447, 95, 479)(64, 448, 96, 480)(65, 449, 97, 481)(66, 450, 98, 482)(67, 451, 99, 483)(68, 452, 100, 484)(69, 453, 101, 485)(70, 454, 102, 486)(71, 455, 103, 487)(72, 456, 104, 488)(73, 457, 105, 489)(74, 458, 106, 490)(75, 459, 107, 491)(76, 460, 108, 492)(77, 461, 109, 493)(78, 462, 110, 494)(79, 463, 111, 495)(80, 464, 112, 496)(81, 465, 113, 497)(82, 466, 114, 498)(83, 467, 115, 499)(84, 468, 116, 500)(85, 469, 117, 501)(86, 470, 118, 502)(87, 471, 119, 503)(88, 472, 120, 504)(89, 473, 121, 505)(90, 474, 122, 506)(123, 507, 187, 571)(124, 508, 188, 572)(125, 509, 189, 573)(126, 510, 162, 546)(127, 511, 190, 574)(128, 512, 191, 575)(129, 513, 174, 558)(130, 514, 158, 542)(131, 515, 192, 576)(132, 516, 193, 577)(133, 517, 194, 578)(134, 518, 195, 579)(135, 519, 180, 564)(136, 520, 196, 580)(137, 521, 172, 556)(138, 522, 197, 581)(139, 523, 198, 582)(140, 524, 169, 553)(141, 525, 199, 583)(142, 526, 161, 545)(143, 527, 200, 584)(144, 528, 201, 585)(145, 529, 202, 586)(146, 530, 203, 587)(147, 531, 183, 567)(148, 532, 167, 551)(149, 533, 204, 588)(150, 534, 205, 589)(151, 535, 179, 563)(152, 536, 206, 590)(153, 537, 207, 591)(154, 538, 208, 592)(155, 539, 209, 593)(156, 540, 210, 594)(157, 541, 211, 595)(159, 543, 212, 596)(160, 544, 213, 597)(163, 547, 214, 598)(164, 548, 215, 599)(165, 549, 216, 600)(166, 550, 217, 601)(168, 552, 218, 602)(170, 554, 219, 603)(171, 555, 220, 604)(173, 557, 221, 605)(175, 559, 222, 606)(176, 560, 223, 607)(177, 561, 224, 608)(178, 562, 225, 609)(181, 565, 226, 610)(182, 566, 227, 611)(184, 568, 228, 612)(185, 569, 229, 613)(186, 570, 230, 614)(231, 615, 301, 685)(232, 616, 302, 686)(233, 617, 303, 687)(234, 618, 304, 688)(235, 619, 305, 689)(236, 620, 306, 690)(237, 621, 282, 666)(238, 622, 277, 661)(239, 623, 307, 691)(240, 624, 308, 692)(241, 625, 276, 660)(242, 626, 273, 657)(243, 627, 291, 675)(244, 628, 281, 665)(245, 629, 309, 693)(246, 630, 279, 663)(247, 631, 272, 656)(248, 632, 310, 694)(249, 633, 311, 695)(250, 634, 312, 696)(251, 635, 313, 697)(252, 636, 295, 679)(253, 637, 290, 674)(254, 638, 314, 698)(255, 639, 288, 672)(256, 640, 278, 662)(257, 641, 294, 678)(258, 642, 315, 699)(259, 643, 292, 676)(260, 644, 287, 671)(261, 645, 316, 700)(262, 646, 317, 701)(263, 647, 318, 702)(264, 648, 319, 703)(265, 649, 320, 704)(266, 650, 321, 705)(267, 651, 322, 706)(268, 652, 323, 707)(269, 653, 324, 708)(270, 654, 325, 709)(271, 655, 326, 710)(274, 658, 327, 711)(275, 659, 328, 712)(280, 664, 329, 713)(283, 667, 330, 714)(284, 668, 331, 715)(285, 669, 332, 716)(286, 670, 333, 717)(289, 673, 334, 718)(293, 677, 335, 719)(296, 680, 336, 720)(297, 681, 337, 721)(298, 682, 338, 722)(299, 683, 339, 723)(300, 684, 340, 724)(341, 725, 379, 763)(342, 726, 372, 756)(343, 727, 364, 748)(344, 728, 375, 759)(345, 729, 362, 746)(346, 730, 365, 749)(347, 731, 374, 758)(348, 732, 370, 754)(349, 733, 371, 755)(350, 734, 376, 760)(351, 735, 367, 751)(352, 736, 368, 752)(353, 737, 361, 745)(354, 738, 377, 761)(355, 739, 366, 750)(356, 740, 363, 747)(357, 741, 369, 753)(358, 742, 373, 757)(359, 743, 380, 764)(360, 744, 381, 765)(378, 762, 382, 766)(383, 767, 384, 768)(769, 1153, 771, 1155, 772, 1156)(770, 1154, 773, 1157, 774, 1158)(775, 1159, 779, 1163, 780, 1164)(776, 1160, 781, 1165, 782, 1166)(777, 1161, 783, 1167, 784, 1168)(778, 1162, 785, 1169, 786, 1170)(787, 1171, 795, 1179, 796, 1180)(788, 1172, 797, 1181, 798, 1182)(789, 1173, 799, 1183, 800, 1184)(790, 1174, 801, 1185, 802, 1186)(791, 1175, 803, 1187, 804, 1188)(792, 1176, 805, 1189, 806, 1190)(793, 1177, 807, 1191, 808, 1192)(794, 1178, 809, 1193, 810, 1194)(811, 1195, 827, 1211, 828, 1212)(812, 1196, 829, 1213, 830, 1214)(813, 1197, 831, 1215, 832, 1216)(814, 1198, 833, 1217, 834, 1218)(815, 1199, 835, 1219, 836, 1220)(816, 1200, 837, 1221, 838, 1222)(817, 1201, 839, 1223, 840, 1224)(818, 1202, 841, 1225, 842, 1226)(819, 1203, 843, 1227, 844, 1228)(820, 1204, 845, 1229, 846, 1230)(821, 1205, 847, 1231, 848, 1232)(822, 1206, 849, 1233, 850, 1234)(823, 1207, 851, 1235, 852, 1236)(824, 1208, 853, 1237, 854, 1238)(825, 1209, 855, 1239, 856, 1240)(826, 1210, 857, 1241, 858, 1242)(859, 1243, 891, 1275, 892, 1276)(860, 1244, 893, 1277, 894, 1278)(861, 1245, 895, 1279, 896, 1280)(862, 1246, 897, 1281, 898, 1282)(863, 1247, 899, 1283, 900, 1284)(864, 1248, 901, 1285, 902, 1286)(865, 1249, 903, 1287, 904, 1288)(866, 1250, 905, 1289, 906, 1290)(867, 1251, 907, 1291, 908, 1292)(868, 1252, 909, 1293, 910, 1294)(869, 1253, 911, 1295, 912, 1296)(870, 1254, 913, 1297, 914, 1298)(871, 1255, 915, 1299, 916, 1300)(872, 1256, 917, 1301, 918, 1302)(873, 1257, 919, 1303, 920, 1304)(874, 1258, 921, 1305, 922, 1306)(875, 1259, 923, 1307, 924, 1308)(876, 1260, 925, 1309, 926, 1310)(877, 1261, 927, 1311, 928, 1312)(878, 1262, 929, 1313, 930, 1314)(879, 1263, 931, 1315, 932, 1316)(880, 1264, 933, 1317, 934, 1318)(881, 1265, 935, 1319, 936, 1320)(882, 1266, 937, 1321, 938, 1322)(883, 1267, 939, 1323, 940, 1324)(884, 1268, 941, 1325, 942, 1326)(885, 1269, 943, 1327, 944, 1328)(886, 1270, 945, 1329, 946, 1330)(887, 1271, 947, 1331, 948, 1332)(888, 1272, 949, 1333, 950, 1334)(889, 1273, 951, 1335, 952, 1336)(890, 1274, 953, 1337, 954, 1338)(955, 1339, 999, 1383, 1000, 1384)(956, 1340, 1001, 1385, 971, 1355)(957, 1341, 1002, 1386, 1003, 1387)(958, 1342, 1004, 1388, 1005, 1389)(959, 1343, 1006, 1390, 1007, 1391)(960, 1344, 1008, 1392, 975, 1359)(961, 1345, 1009, 1393, 970, 1354)(962, 1346, 1010, 1394, 1011, 1395)(963, 1347, 1012, 1396, 1013, 1397)(964, 1348, 1014, 1398, 1015, 1399)(965, 1349, 1016, 1400, 1017, 1401)(966, 1350, 1018, 1402, 1019, 1403)(967, 1351, 1020, 1404, 1021, 1405)(968, 1352, 1022, 1406, 1023, 1407)(969, 1353, 1024, 1408, 1025, 1409)(972, 1356, 1026, 1410, 1027, 1411)(973, 1357, 1028, 1412, 1029, 1413)(974, 1358, 1030, 1414, 1031, 1415)(976, 1360, 1032, 1416, 1033, 1417)(977, 1361, 1034, 1418, 1035, 1419)(978, 1362, 1036, 1420, 993, 1377)(979, 1363, 1037, 1421, 1038, 1422)(980, 1364, 1039, 1423, 1040, 1424)(981, 1365, 1041, 1425, 1042, 1426)(982, 1366, 1043, 1427, 997, 1381)(983, 1367, 1044, 1428, 992, 1376)(984, 1368, 1045, 1429, 1046, 1430)(985, 1369, 1047, 1431, 1048, 1432)(986, 1370, 1049, 1433, 1050, 1434)(987, 1371, 1051, 1435, 1052, 1436)(988, 1372, 1053, 1437, 1054, 1438)(989, 1373, 1055, 1439, 1056, 1440)(990, 1374, 1057, 1441, 1058, 1442)(991, 1375, 1059, 1443, 1060, 1444)(994, 1378, 1061, 1445, 1062, 1446)(995, 1379, 1063, 1447, 1064, 1448)(996, 1380, 1065, 1449, 1066, 1450)(998, 1382, 1067, 1451, 1068, 1452)(1069, 1453, 1109, 1493, 1110, 1494)(1070, 1454, 1111, 1495, 1077, 1461)(1071, 1455, 1112, 1496, 1113, 1497)(1072, 1456, 1114, 1498, 1086, 1470)(1073, 1457, 1083, 1467, 1115, 1499)(1074, 1458, 1116, 1500, 1078, 1462)(1075, 1459, 1085, 1469, 1117, 1501)(1076, 1460, 1118, 1502, 1119, 1503)(1079, 1463, 1120, 1504, 1121, 1505)(1080, 1464, 1122, 1506, 1123, 1507)(1081, 1465, 1124, 1508, 1084, 1468)(1082, 1466, 1125, 1509, 1087, 1471)(1088, 1472, 1126, 1510, 1127, 1511)(1089, 1473, 1128, 1512, 1129, 1513)(1090, 1474, 1130, 1514, 1097, 1481)(1091, 1475, 1131, 1515, 1132, 1516)(1092, 1476, 1133, 1517, 1106, 1490)(1093, 1477, 1103, 1487, 1134, 1518)(1094, 1478, 1135, 1519, 1098, 1482)(1095, 1479, 1105, 1489, 1136, 1520)(1096, 1480, 1137, 1521, 1138, 1522)(1099, 1483, 1139, 1523, 1140, 1524)(1100, 1484, 1141, 1525, 1142, 1526)(1101, 1485, 1143, 1527, 1104, 1488)(1102, 1486, 1144, 1528, 1107, 1491)(1108, 1492, 1145, 1529, 1146, 1530)(1147, 1531, 1151, 1535, 1148, 1532)(1149, 1533, 1152, 1536, 1150, 1534)
	L = (1, 770)(2, 769)(3, 775)(4, 776)(5, 777)(6, 778)(7, 771)(8, 772)(9, 773)(10, 774)(11, 787)(12, 788)(13, 789)(14, 790)(15, 791)(16, 792)(17, 793)(18, 794)(19, 779)(20, 780)(21, 781)(22, 782)(23, 783)(24, 784)(25, 785)(26, 786)(27, 811)(28, 812)(29, 813)(30, 814)(31, 815)(32, 816)(33, 817)(34, 818)(35, 819)(36, 820)(37, 821)(38, 822)(39, 823)(40, 824)(41, 825)(42, 826)(43, 795)(44, 796)(45, 797)(46, 798)(47, 799)(48, 800)(49, 801)(50, 802)(51, 803)(52, 804)(53, 805)(54, 806)(55, 807)(56, 808)(57, 809)(58, 810)(59, 859)(60, 860)(61, 861)(62, 862)(63, 863)(64, 864)(65, 865)(66, 866)(67, 867)(68, 868)(69, 869)(70, 870)(71, 871)(72, 872)(73, 873)(74, 874)(75, 875)(76, 876)(77, 877)(78, 878)(79, 879)(80, 880)(81, 881)(82, 882)(83, 883)(84, 884)(85, 885)(86, 886)(87, 887)(88, 888)(89, 889)(90, 890)(91, 827)(92, 828)(93, 829)(94, 830)(95, 831)(96, 832)(97, 833)(98, 834)(99, 835)(100, 836)(101, 837)(102, 838)(103, 839)(104, 840)(105, 841)(106, 842)(107, 843)(108, 844)(109, 845)(110, 846)(111, 847)(112, 848)(113, 849)(114, 850)(115, 851)(116, 852)(117, 853)(118, 854)(119, 855)(120, 856)(121, 857)(122, 858)(123, 955)(124, 956)(125, 957)(126, 930)(127, 958)(128, 959)(129, 942)(130, 926)(131, 960)(132, 961)(133, 962)(134, 963)(135, 948)(136, 964)(137, 940)(138, 965)(139, 966)(140, 937)(141, 967)(142, 929)(143, 968)(144, 969)(145, 970)(146, 971)(147, 951)(148, 935)(149, 972)(150, 973)(151, 947)(152, 974)(153, 975)(154, 976)(155, 977)(156, 978)(157, 979)(158, 898)(159, 980)(160, 981)(161, 910)(162, 894)(163, 982)(164, 983)(165, 984)(166, 985)(167, 916)(168, 986)(169, 908)(170, 987)(171, 988)(172, 905)(173, 989)(174, 897)(175, 990)(176, 991)(177, 992)(178, 993)(179, 919)(180, 903)(181, 994)(182, 995)(183, 915)(184, 996)(185, 997)(186, 998)(187, 891)(188, 892)(189, 893)(190, 895)(191, 896)(192, 899)(193, 900)(194, 901)(195, 902)(196, 904)(197, 906)(198, 907)(199, 909)(200, 911)(201, 912)(202, 913)(203, 914)(204, 917)(205, 918)(206, 920)(207, 921)(208, 922)(209, 923)(210, 924)(211, 925)(212, 927)(213, 928)(214, 931)(215, 932)(216, 933)(217, 934)(218, 936)(219, 938)(220, 939)(221, 941)(222, 943)(223, 944)(224, 945)(225, 946)(226, 949)(227, 950)(228, 952)(229, 953)(230, 954)(231, 1069)(232, 1070)(233, 1071)(234, 1072)(235, 1073)(236, 1074)(237, 1050)(238, 1045)(239, 1075)(240, 1076)(241, 1044)(242, 1041)(243, 1059)(244, 1049)(245, 1077)(246, 1047)(247, 1040)(248, 1078)(249, 1079)(250, 1080)(251, 1081)(252, 1063)(253, 1058)(254, 1082)(255, 1056)(256, 1046)(257, 1062)(258, 1083)(259, 1060)(260, 1055)(261, 1084)(262, 1085)(263, 1086)(264, 1087)(265, 1088)(266, 1089)(267, 1090)(268, 1091)(269, 1092)(270, 1093)(271, 1094)(272, 1015)(273, 1010)(274, 1095)(275, 1096)(276, 1009)(277, 1006)(278, 1024)(279, 1014)(280, 1097)(281, 1012)(282, 1005)(283, 1098)(284, 1099)(285, 1100)(286, 1101)(287, 1028)(288, 1023)(289, 1102)(290, 1021)(291, 1011)(292, 1027)(293, 1103)(294, 1025)(295, 1020)(296, 1104)(297, 1105)(298, 1106)(299, 1107)(300, 1108)(301, 999)(302, 1000)(303, 1001)(304, 1002)(305, 1003)(306, 1004)(307, 1007)(308, 1008)(309, 1013)(310, 1016)(311, 1017)(312, 1018)(313, 1019)(314, 1022)(315, 1026)(316, 1029)(317, 1030)(318, 1031)(319, 1032)(320, 1033)(321, 1034)(322, 1035)(323, 1036)(324, 1037)(325, 1038)(326, 1039)(327, 1042)(328, 1043)(329, 1048)(330, 1051)(331, 1052)(332, 1053)(333, 1054)(334, 1057)(335, 1061)(336, 1064)(337, 1065)(338, 1066)(339, 1067)(340, 1068)(341, 1147)(342, 1140)(343, 1132)(344, 1143)(345, 1130)(346, 1133)(347, 1142)(348, 1138)(349, 1139)(350, 1144)(351, 1135)(352, 1136)(353, 1129)(354, 1145)(355, 1134)(356, 1131)(357, 1137)(358, 1141)(359, 1148)(360, 1149)(361, 1121)(362, 1113)(363, 1124)(364, 1111)(365, 1114)(366, 1123)(367, 1119)(368, 1120)(369, 1125)(370, 1116)(371, 1117)(372, 1110)(373, 1126)(374, 1115)(375, 1112)(376, 1118)(377, 1122)(378, 1150)(379, 1109)(380, 1127)(381, 1128)(382, 1146)(383, 1152)(384, 1151)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.3167
Graph:: bipartite
	v = 320 e = 768 f = 408
	degree seq :: [ 4^192, 6^128 ]

E21.3165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-4 * Y1)^2, Y2^-4 * Y1^-1 * Y2^2 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^16, (Y2^3 * Y1^-1)^4, (Y2^7 * Y1^-1)^2 ]
Map::
	R = (1, 385, 2, 386, 4, 388)(3, 387, 8, 392, 10, 394)(5, 389, 12, 396, 6, 390)(7, 391, 15, 399, 11, 395)(9, 393, 18, 402, 20, 404)(13, 397, 25, 409, 23, 407)(14, 398, 24, 408, 28, 412)(16, 400, 31, 415, 29, 413)(17, 401, 33, 417, 21, 405)(19, 403, 36, 420, 38, 422)(22, 406, 30, 414, 42, 426)(26, 410, 47, 431, 45, 429)(27, 411, 49, 433, 51, 435)(32, 416, 57, 441, 55, 439)(34, 418, 61, 445, 59, 443)(35, 419, 63, 447, 39, 423)(37, 421, 66, 450, 68, 452)(40, 424, 60, 444, 72, 456)(41, 425, 73, 457, 75, 459)(43, 427, 46, 430, 78, 462)(44, 428, 79, 463, 52, 436)(48, 432, 85, 469, 83, 467)(50, 434, 88, 472, 90, 474)(53, 437, 56, 440, 94, 478)(54, 438, 95, 479, 76, 460)(58, 442, 101, 485, 99, 483)(62, 446, 107, 491, 105, 489)(64, 448, 111, 495, 109, 493)(65, 449, 113, 497, 69, 453)(67, 451, 116, 500, 118, 502)(70, 454, 110, 494, 122, 506)(71, 455, 123, 507, 125, 509)(74, 458, 128, 512, 130, 514)(77, 461, 133, 517, 135, 519)(80, 464, 139, 523, 137, 521)(81, 465, 84, 468, 142, 526)(82, 466, 143, 527, 136, 520)(86, 470, 149, 533, 147, 531)(87, 471, 151, 535, 91, 475)(89, 473, 154, 538, 156, 540)(92, 476, 138, 522, 160, 544)(93, 477, 161, 545, 163, 547)(96, 480, 167, 551, 165, 549)(97, 481, 100, 484, 170, 554)(98, 482, 171, 555, 164, 548)(102, 486, 177, 561, 175, 559)(103, 487, 106, 490, 180, 564)(104, 488, 181, 565, 126, 510)(108, 492, 187, 571, 185, 569)(112, 496, 157, 541, 153, 537)(114, 498, 194, 578, 152, 536)(115, 499, 168, 552, 119, 503)(117, 501, 197, 581, 199, 583)(120, 504, 193, 577, 203, 587)(121, 505, 204, 588, 206, 590)(124, 508, 173, 557, 176, 560)(127, 511, 195, 579, 131, 515)(129, 513, 213, 597, 215, 599)(132, 516, 166, 550, 219, 603)(134, 518, 183, 567, 186, 570)(140, 524, 216, 600, 212, 596)(141, 525, 179, 563, 169, 553)(144, 528, 230, 614, 228, 612)(145, 529, 148, 532, 162, 546)(146, 530, 232, 616, 227, 611)(150, 534, 238, 622, 236, 620)(155, 539, 242, 626, 244, 628)(158, 542, 240, 624, 248, 632)(159, 543, 249, 633, 251, 635)(172, 556, 262, 646, 260, 644)(174, 558, 264, 648, 259, 643)(178, 562, 270, 654, 268, 652)(182, 566, 275, 659, 273, 657)(184, 568, 277, 661, 272, 656)(188, 572, 283, 667, 281, 665)(189, 573, 191, 575, 221, 605)(190, 574, 285, 669, 207, 591)(192, 576, 288, 672, 246, 630)(196, 580, 276, 660, 200, 584)(198, 582, 293, 677, 271, 655)(201, 585, 258, 642, 298, 682)(202, 586, 299, 683, 265, 649)(205, 589, 279, 663, 282, 666)(208, 592, 257, 641, 210, 594)(209, 593, 267, 651, 307, 691)(211, 595, 274, 658, 310, 694)(214, 598, 312, 696, 314, 698)(217, 601, 291, 675, 318, 702)(218, 602, 319, 703, 321, 705)(220, 604, 280, 664, 324, 708)(222, 606, 229, 613, 327, 711)(223, 607, 225, 609, 254, 638)(224, 608, 328, 712, 252, 636)(226, 610, 330, 714, 316, 700)(231, 615, 245, 629, 241, 625)(233, 617, 317, 701, 334, 718)(234, 618, 237, 621, 250, 634)(235, 619, 336, 720, 253, 637)(239, 623, 313, 697, 338, 722)(243, 627, 341, 725, 284, 668)(247, 631, 346, 730, 278, 662)(255, 639, 261, 645, 355, 739)(256, 640, 356, 740, 322, 706)(263, 647, 315, 699, 311, 695)(266, 650, 269, 653, 320, 704)(286, 670, 358, 742, 361, 745)(287, 671, 359, 743, 325, 709)(289, 673, 375, 759, 373, 757)(290, 674, 354, 738, 301, 685)(292, 676, 372, 756, 295, 679)(294, 678, 342, 726, 371, 755)(296, 680, 365, 749, 344, 728)(297, 681, 377, 761, 368, 752)(300, 684, 345, 729, 374, 758)(302, 686, 353, 737, 304, 688)(303, 687, 370, 754, 349, 733)(305, 689, 351, 735, 379, 763)(306, 690, 380, 764, 337, 721)(308, 692, 350, 734, 332, 716)(309, 693, 348, 732, 339, 723)(323, 707, 384, 768, 362, 746)(326, 710, 383, 767, 376, 760)(329, 713, 363, 747, 366, 750)(331, 715, 335, 719, 357, 741)(333, 717, 360, 744, 364, 748)(340, 724, 378, 762, 343, 727)(347, 731, 367, 751, 381, 765)(352, 736, 382, 766, 369, 753)(769, 1153, 771, 1155, 777, 1161, 787, 1171, 805, 1189, 835, 1219, 885, 1269, 966, 1350, 1062, 1446, 1007, 1391, 918, 1302, 854, 1238, 816, 1200, 794, 1178, 781, 1165, 773, 1157)(770, 1154, 774, 1158, 782, 1166, 795, 1179, 818, 1202, 857, 1241, 923, 1307, 1011, 1395, 1110, 1494, 1039, 1423, 946, 1330, 870, 1254, 826, 1210, 800, 1184, 784, 1168, 775, 1159)(772, 1156, 779, 1163, 790, 1174, 809, 1193, 842, 1226, 897, 1281, 982, 1366, 1081, 1465, 1139, 1523, 1052, 1436, 956, 1340, 876, 1260, 830, 1214, 802, 1186, 785, 1169, 776, 1160)(778, 1162, 789, 1173, 808, 1192, 839, 1223, 892, 1276, 977, 1361, 1074, 1458, 1006, 1390, 1106, 1490, 1082, 1466, 1057, 1441, 960, 1344, 880, 1264, 832, 1216, 803, 1187, 786, 1170)(780, 1164, 791, 1175, 811, 1195, 845, 1229, 902, 1286, 988, 1372, 1091, 1475, 1038, 1422, 1061, 1445, 967, 1351, 1063, 1447, 994, 1378, 908, 1292, 848, 1232, 812, 1196, 792, 1176)(783, 1167, 797, 1181, 821, 1205, 861, 1245, 930, 1314, 1021, 1405, 1120, 1504, 1051, 1435, 1109, 1493, 1012, 1396, 1111, 1495, 1026, 1410, 936, 1320, 864, 1248, 822, 1206, 798, 1182)(788, 1172, 807, 1191, 838, 1222, 889, 1273, 973, 1357, 1071, 1455, 1005, 1389, 917, 1301, 1004, 1388, 1105, 1489, 1144, 1528, 1059, 1443, 963, 1347, 882, 1266, 833, 1217, 804, 1188)(793, 1177, 813, 1197, 849, 1233, 909, 1293, 938, 1322, 1027, 1411, 1126, 1510, 1060, 1444, 965, 1349, 886, 1270, 968, 1352, 1064, 1448, 999, 1383, 912, 1296, 850, 1234, 814, 1198)(796, 1180, 820, 1204, 860, 1244, 927, 1311, 1018, 1402, 1117, 1501, 1037, 1421, 945, 1329, 1036, 1420, 1130, 1514, 1058, 1442, 961, 1345, 881, 1265, 920, 1304, 855, 1239, 817, 1201)(799, 1183, 823, 1207, 865, 1249, 937, 1321, 948, 1332, 1040, 1424, 1131, 1515, 1108, 1492, 1010, 1394, 924, 1308, 1013, 1397, 1112, 1496, 1031, 1415, 940, 1324, 866, 1250, 824, 1208)(801, 1185, 827, 1211, 871, 1255, 947, 1331, 910, 1294, 995, 1379, 1099, 1483, 1143, 1527, 1080, 1464, 983, 1367, 1083, 1467, 1133, 1517, 1044, 1428, 950, 1334, 872, 1256, 828, 1212)(806, 1190, 837, 1221, 888, 1272, 970, 1354, 1068, 1452, 1003, 1387, 916, 1300, 853, 1237, 915, 1299, 1002, 1386, 1019, 1403, 1118, 1502, 1025, 1409, 935, 1319, 883, 1267, 834, 1218)(810, 1194, 844, 1228, 900, 1284, 986, 1370, 1088, 1472, 1138, 1522, 1050, 1434, 955, 1339, 1049, 1433, 1137, 1521, 1107, 1491, 1008, 1392, 919, 1303, 962, 1346, 895, 1279, 841, 1225)(815, 1199, 851, 1235, 913, 1297, 931, 1315, 1022, 1406, 1121, 1505, 1043, 1427, 964, 1348, 884, 1268, 836, 1220, 887, 1271, 969, 1353, 1065, 1449, 1001, 1385, 914, 1298, 852, 1236)(819, 1203, 859, 1243, 926, 1310, 1015, 1399, 1115, 1499, 1035, 1419, 944, 1328, 869, 1253, 943, 1327, 1034, 1418, 1089, 1473, 1055, 1439, 959, 1343, 879, 1263, 921, 1305, 856, 1240)(825, 1209, 867, 1251, 941, 1325, 893, 1277, 978, 1362, 1076, 1460, 998, 1382, 1009, 1393, 922, 1306, 858, 1242, 925, 1309, 1014, 1398, 1113, 1497, 1033, 1417, 942, 1326, 868, 1252)(829, 1213, 873, 1257, 951, 1335, 903, 1287, 989, 1373, 1093, 1477, 1030, 1414, 1079, 1463, 981, 1365, 898, 1282, 984, 1368, 1084, 1468, 1135, 1519, 1046, 1430, 952, 1336, 874, 1258)(831, 1215, 877, 1261, 957, 1341, 901, 1285, 846, 1230, 904, 1288, 990, 1374, 1094, 1478, 1148, 1532, 1075, 1459, 1149, 1533, 1098, 1482, 1140, 1524, 1054, 1438, 958, 1342, 878, 1262)(840, 1224, 894, 1278, 979, 1363, 1077, 1461, 1150, 1534, 1104, 1488, 1142, 1526, 1056, 1440, 1141, 1525, 1125, 1509, 1024, 1408, 934, 1318, 863, 1247, 933, 1317, 976, 1360, 891, 1275)(843, 1227, 899, 1283, 985, 1369, 1085, 1469, 1136, 1520, 1048, 1432, 954, 1338, 875, 1259, 953, 1337, 1047, 1431, 974, 1358, 1072, 1456, 993, 1377, 907, 1291, 980, 1364, 896, 1280)(847, 1231, 905, 1289, 991, 1375, 929, 1313, 862, 1246, 932, 1316, 1023, 1407, 1122, 1506, 1152, 1536, 1092, 1476, 1145, 1529, 1066, 1450, 1146, 1530, 1097, 1481, 992, 1376, 906, 1290)(890, 1274, 975, 1359, 1073, 1457, 1124, 1508, 1103, 1487, 1000, 1384, 1102, 1486, 1086, 1470, 1151, 1535, 1095, 1479, 1132, 1516, 1042, 1426, 949, 1333, 1041, 1425, 1070, 1454, 972, 1356)(911, 1295, 996, 1380, 1100, 1484, 1017, 1401, 928, 1312, 1020, 1404, 1119, 1503, 1053, 1437, 1129, 1513, 1032, 1416, 1067, 1451, 971, 1355, 1069, 1453, 1123, 1507, 1101, 1485, 997, 1381)(939, 1323, 1028, 1412, 1127, 1511, 1087, 1471, 987, 1371, 1090, 1474, 1147, 1531, 1096, 1480, 1134, 1518, 1045, 1429, 1114, 1498, 1016, 1400, 1116, 1500, 1078, 1462, 1128, 1512, 1029, 1413)
	L = (1, 771)(2, 774)(3, 777)(4, 779)(5, 769)(6, 782)(7, 770)(8, 772)(9, 787)(10, 789)(11, 790)(12, 791)(13, 773)(14, 795)(15, 797)(16, 775)(17, 776)(18, 778)(19, 805)(20, 807)(21, 808)(22, 809)(23, 811)(24, 780)(25, 813)(26, 781)(27, 818)(28, 820)(29, 821)(30, 783)(31, 823)(32, 784)(33, 827)(34, 785)(35, 786)(36, 788)(37, 835)(38, 837)(39, 838)(40, 839)(41, 842)(42, 844)(43, 845)(44, 792)(45, 849)(46, 793)(47, 851)(48, 794)(49, 796)(50, 857)(51, 859)(52, 860)(53, 861)(54, 798)(55, 865)(56, 799)(57, 867)(58, 800)(59, 871)(60, 801)(61, 873)(62, 802)(63, 877)(64, 803)(65, 804)(66, 806)(67, 885)(68, 887)(69, 888)(70, 889)(71, 892)(72, 894)(73, 810)(74, 897)(75, 899)(76, 900)(77, 902)(78, 904)(79, 905)(80, 812)(81, 909)(82, 814)(83, 913)(84, 815)(85, 915)(86, 816)(87, 817)(88, 819)(89, 923)(90, 925)(91, 926)(92, 927)(93, 930)(94, 932)(95, 933)(96, 822)(97, 937)(98, 824)(99, 941)(100, 825)(101, 943)(102, 826)(103, 947)(104, 828)(105, 951)(106, 829)(107, 953)(108, 830)(109, 957)(110, 831)(111, 921)(112, 832)(113, 920)(114, 833)(115, 834)(116, 836)(117, 966)(118, 968)(119, 969)(120, 970)(121, 973)(122, 975)(123, 840)(124, 977)(125, 978)(126, 979)(127, 841)(128, 843)(129, 982)(130, 984)(131, 985)(132, 986)(133, 846)(134, 988)(135, 989)(136, 990)(137, 991)(138, 847)(139, 980)(140, 848)(141, 938)(142, 995)(143, 996)(144, 850)(145, 931)(146, 852)(147, 1002)(148, 853)(149, 1004)(150, 854)(151, 962)(152, 855)(153, 856)(154, 858)(155, 1011)(156, 1013)(157, 1014)(158, 1015)(159, 1018)(160, 1020)(161, 862)(162, 1021)(163, 1022)(164, 1023)(165, 976)(166, 863)(167, 883)(168, 864)(169, 948)(170, 1027)(171, 1028)(172, 866)(173, 893)(174, 868)(175, 1034)(176, 869)(177, 1036)(178, 870)(179, 910)(180, 1040)(181, 1041)(182, 872)(183, 903)(184, 874)(185, 1047)(186, 875)(187, 1049)(188, 876)(189, 901)(190, 878)(191, 879)(192, 880)(193, 881)(194, 895)(195, 882)(196, 884)(197, 886)(198, 1062)(199, 1063)(200, 1064)(201, 1065)(202, 1068)(203, 1069)(204, 890)(205, 1071)(206, 1072)(207, 1073)(208, 891)(209, 1074)(210, 1076)(211, 1077)(212, 896)(213, 898)(214, 1081)(215, 1083)(216, 1084)(217, 1085)(218, 1088)(219, 1090)(220, 1091)(221, 1093)(222, 1094)(223, 929)(224, 906)(225, 907)(226, 908)(227, 1099)(228, 1100)(229, 911)(230, 1009)(231, 912)(232, 1102)(233, 914)(234, 1019)(235, 916)(236, 1105)(237, 917)(238, 1106)(239, 918)(240, 919)(241, 922)(242, 924)(243, 1110)(244, 1111)(245, 1112)(246, 1113)(247, 1115)(248, 1116)(249, 928)(250, 1117)(251, 1118)(252, 1119)(253, 1120)(254, 1121)(255, 1122)(256, 934)(257, 935)(258, 936)(259, 1126)(260, 1127)(261, 939)(262, 1079)(263, 940)(264, 1067)(265, 942)(266, 1089)(267, 944)(268, 1130)(269, 945)(270, 1061)(271, 946)(272, 1131)(273, 1070)(274, 949)(275, 964)(276, 950)(277, 1114)(278, 952)(279, 974)(280, 954)(281, 1137)(282, 955)(283, 1109)(284, 956)(285, 1129)(286, 958)(287, 959)(288, 1141)(289, 960)(290, 961)(291, 963)(292, 965)(293, 967)(294, 1007)(295, 994)(296, 999)(297, 1001)(298, 1146)(299, 971)(300, 1003)(301, 1123)(302, 972)(303, 1005)(304, 993)(305, 1124)(306, 1006)(307, 1149)(308, 998)(309, 1150)(310, 1128)(311, 981)(312, 983)(313, 1139)(314, 1057)(315, 1133)(316, 1135)(317, 1136)(318, 1151)(319, 987)(320, 1138)(321, 1055)(322, 1147)(323, 1038)(324, 1145)(325, 1030)(326, 1148)(327, 1132)(328, 1134)(329, 992)(330, 1140)(331, 1143)(332, 1017)(333, 997)(334, 1086)(335, 1000)(336, 1142)(337, 1144)(338, 1082)(339, 1008)(340, 1010)(341, 1012)(342, 1039)(343, 1026)(344, 1031)(345, 1033)(346, 1016)(347, 1035)(348, 1078)(349, 1037)(350, 1025)(351, 1053)(352, 1051)(353, 1043)(354, 1152)(355, 1101)(356, 1103)(357, 1024)(358, 1060)(359, 1087)(360, 1029)(361, 1032)(362, 1058)(363, 1108)(364, 1042)(365, 1044)(366, 1045)(367, 1046)(368, 1048)(369, 1107)(370, 1050)(371, 1052)(372, 1054)(373, 1125)(374, 1056)(375, 1080)(376, 1059)(377, 1066)(378, 1097)(379, 1096)(380, 1075)(381, 1098)(382, 1104)(383, 1095)(384, 1092)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3166
Graph:: bipartite
	v = 152 e = 768 f = 576
	degree seq :: [ 6^128, 32^24 ]

E21.3166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, (Y3 * Y2 * Y3^-3 * Y2 * Y3)^2, Y3^2 * Y2 * Y3^4 * Y2 * Y3^-2 * Y2 * Y3^4 * Y2, (Y3^-5 * Y2 * Y3^-3)^2, Y3^4 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)(769, 1153, 770, 1154)(771, 1155, 775, 1159)(772, 1156, 777, 1161)(773, 1157, 779, 1163)(774, 1158, 781, 1165)(776, 1160, 784, 1168)(778, 1162, 787, 1171)(780, 1164, 790, 1174)(782, 1166, 793, 1177)(783, 1167, 795, 1179)(785, 1169, 798, 1182)(786, 1170, 800, 1184)(788, 1172, 803, 1187)(789, 1173, 805, 1189)(791, 1175, 808, 1192)(792, 1176, 810, 1194)(794, 1178, 813, 1197)(796, 1180, 816, 1200)(797, 1181, 818, 1202)(799, 1183, 821, 1205)(801, 1185, 824, 1208)(802, 1186, 826, 1210)(804, 1188, 829, 1213)(806, 1190, 832, 1216)(807, 1191, 834, 1218)(809, 1193, 837, 1221)(811, 1195, 840, 1224)(812, 1196, 842, 1226)(814, 1198, 845, 1229)(815, 1199, 847, 1231)(817, 1201, 850, 1234)(819, 1203, 853, 1237)(820, 1204, 855, 1239)(822, 1206, 858, 1242)(823, 1207, 860, 1244)(825, 1209, 863, 1247)(827, 1211, 866, 1250)(828, 1212, 868, 1252)(830, 1214, 871, 1255)(831, 1215, 873, 1257)(833, 1217, 876, 1260)(835, 1219, 879, 1263)(836, 1220, 881, 1265)(838, 1222, 884, 1268)(839, 1223, 886, 1270)(841, 1225, 889, 1273)(843, 1227, 892, 1276)(844, 1228, 894, 1278)(846, 1230, 897, 1281)(848, 1232, 900, 1284)(849, 1233, 902, 1286)(851, 1235, 905, 1289)(852, 1236, 907, 1291)(854, 1238, 882, 1266)(856, 1240, 880, 1264)(857, 1241, 913, 1297)(859, 1243, 916, 1300)(861, 1245, 919, 1303)(862, 1246, 921, 1305)(864, 1248, 922, 1306)(865, 1249, 924, 1308)(867, 1251, 895, 1279)(869, 1253, 893, 1277)(870, 1254, 929, 1313)(872, 1256, 932, 1316)(874, 1258, 935, 1319)(875, 1259, 937, 1321)(877, 1261, 940, 1324)(878, 1262, 942, 1326)(883, 1267, 948, 1332)(885, 1269, 951, 1335)(887, 1271, 954, 1338)(888, 1272, 956, 1340)(890, 1274, 957, 1341)(891, 1275, 959, 1343)(896, 1280, 964, 1348)(898, 1282, 967, 1351)(899, 1283, 969, 1353)(901, 1285, 965, 1349)(903, 1287, 963, 1347)(904, 1288, 974, 1358)(906, 1290, 976, 1360)(908, 1292, 979, 1363)(909, 1293, 947, 1331)(910, 1294, 946, 1330)(911, 1295, 945, 1329)(912, 1296, 944, 1328)(914, 1298, 955, 1339)(915, 1299, 986, 1370)(917, 1301, 989, 1373)(918, 1302, 991, 1375)(920, 1304, 949, 1333)(923, 1307, 997, 1381)(925, 1309, 1000, 1384)(926, 1310, 962, 1346)(927, 1311, 961, 1345)(928, 1312, 938, 1322)(930, 1314, 936, 1320)(931, 1315, 1007, 1391)(933, 1317, 1010, 1394)(934, 1318, 1011, 1395)(939, 1323, 1016, 1400)(941, 1325, 1018, 1402)(943, 1327, 1021, 1405)(950, 1334, 1028, 1412)(952, 1336, 1031, 1415)(953, 1337, 1033, 1417)(958, 1342, 1039, 1423)(960, 1344, 1042, 1426)(966, 1350, 1049, 1433)(968, 1352, 1052, 1436)(970, 1354, 1054, 1438)(971, 1355, 1048, 1432)(972, 1356, 1047, 1431)(973, 1357, 1046, 1430)(975, 1359, 1058, 1442)(977, 1361, 1030, 1414)(978, 1362, 1061, 1445)(980, 1364, 1059, 1443)(981, 1365, 1065, 1449)(982, 1366, 1067, 1451)(983, 1367, 1037, 1421)(984, 1368, 1036, 1420)(985, 1369, 1035, 1419)(987, 1371, 1055, 1439)(988, 1372, 1019, 1403)(990, 1374, 1032, 1416)(992, 1376, 1076, 1460)(993, 1377, 1027, 1411)(994, 1378, 1026, 1410)(995, 1379, 1025, 1409)(996, 1380, 1079, 1463)(998, 1382, 1051, 1435)(999, 1383, 1082, 1466)(1001, 1385, 1080, 1464)(1002, 1386, 1085, 1469)(1003, 1387, 1086, 1470)(1004, 1388, 1015, 1399)(1005, 1389, 1014, 1398)(1006, 1390, 1013, 1397)(1008, 1392, 1077, 1461)(1009, 1393, 1040, 1424)(1012, 1396, 1088, 1472)(1017, 1401, 1092, 1476)(1020, 1404, 1095, 1479)(1022, 1406, 1093, 1477)(1023, 1407, 1099, 1483)(1024, 1408, 1101, 1485)(1029, 1413, 1089, 1473)(1034, 1418, 1110, 1494)(1038, 1422, 1113, 1497)(1041, 1425, 1116, 1500)(1043, 1427, 1114, 1498)(1044, 1428, 1119, 1503)(1045, 1429, 1120, 1504)(1050, 1434, 1111, 1495)(1053, 1437, 1121, 1505)(1056, 1440, 1125, 1509)(1057, 1441, 1097, 1481)(1060, 1444, 1108, 1492)(1062, 1446, 1128, 1512)(1063, 1447, 1091, 1475)(1064, 1448, 1126, 1510)(1066, 1450, 1115, 1499)(1068, 1452, 1102, 1486)(1069, 1453, 1130, 1514)(1070, 1454, 1131, 1515)(1071, 1455, 1105, 1489)(1072, 1456, 1124, 1508)(1073, 1457, 1123, 1507)(1074, 1458, 1094, 1478)(1075, 1459, 1132, 1516)(1078, 1462, 1118, 1502)(1081, 1465, 1100, 1484)(1083, 1467, 1129, 1513)(1084, 1468, 1112, 1496)(1087, 1471, 1135, 1519)(1090, 1474, 1139, 1523)(1096, 1480, 1142, 1526)(1098, 1482, 1140, 1524)(1103, 1487, 1144, 1528)(1104, 1488, 1145, 1529)(1106, 1490, 1138, 1522)(1107, 1491, 1137, 1521)(1109, 1493, 1146, 1530)(1117, 1501, 1143, 1527)(1122, 1506, 1141, 1525)(1127, 1511, 1136, 1520)(1133, 1517, 1148, 1532)(1134, 1518, 1147, 1531)(1149, 1533, 1152, 1536)(1150, 1534, 1151, 1535)
	L = (1, 771)(2, 773)(3, 776)(4, 769)(5, 780)(6, 770)(7, 781)(8, 785)(9, 786)(10, 772)(11, 777)(12, 791)(13, 792)(14, 774)(15, 775)(16, 795)(17, 799)(18, 801)(19, 802)(20, 778)(21, 779)(22, 805)(23, 809)(24, 811)(25, 812)(26, 782)(27, 815)(28, 783)(29, 784)(30, 818)(31, 822)(32, 787)(33, 825)(34, 827)(35, 828)(36, 788)(37, 831)(38, 789)(39, 790)(40, 834)(41, 838)(42, 793)(43, 841)(44, 843)(45, 844)(46, 794)(47, 848)(48, 849)(49, 796)(50, 852)(51, 797)(52, 798)(53, 855)(54, 859)(55, 800)(56, 860)(57, 864)(58, 803)(59, 867)(60, 869)(61, 870)(62, 804)(63, 874)(64, 875)(65, 806)(66, 878)(67, 807)(68, 808)(69, 881)(70, 885)(71, 810)(72, 886)(73, 890)(74, 813)(75, 893)(76, 895)(77, 896)(78, 814)(79, 816)(80, 901)(81, 903)(82, 904)(83, 817)(84, 908)(85, 909)(86, 819)(87, 911)(88, 820)(89, 821)(90, 913)(91, 917)(92, 918)(93, 823)(94, 824)(95, 921)(96, 923)(97, 826)(98, 924)(99, 926)(100, 829)(101, 928)(102, 930)(103, 931)(104, 830)(105, 832)(106, 936)(107, 938)(108, 939)(109, 833)(110, 943)(111, 944)(112, 835)(113, 946)(114, 836)(115, 837)(116, 948)(117, 952)(118, 953)(119, 839)(120, 840)(121, 956)(122, 958)(123, 842)(124, 959)(125, 961)(126, 845)(127, 963)(128, 965)(129, 966)(130, 846)(131, 847)(132, 969)(133, 972)(134, 850)(135, 866)(136, 863)(137, 975)(138, 851)(139, 853)(140, 980)(141, 862)(142, 854)(143, 982)(144, 856)(145, 984)(146, 857)(147, 858)(148, 986)(149, 990)(150, 992)(151, 993)(152, 861)(153, 995)(154, 974)(155, 998)(156, 999)(157, 865)(158, 1002)(159, 868)(160, 1004)(161, 871)(162, 1006)(163, 1008)(164, 1009)(165, 872)(166, 873)(167, 1011)(168, 1014)(169, 876)(170, 892)(171, 889)(172, 1017)(173, 877)(174, 879)(175, 1022)(176, 888)(177, 880)(178, 1024)(179, 882)(180, 1026)(181, 883)(182, 884)(183, 1028)(184, 1032)(185, 1034)(186, 1035)(187, 887)(188, 1037)(189, 1016)(190, 1040)(191, 1041)(192, 891)(193, 1044)(194, 894)(195, 1046)(196, 897)(197, 1048)(198, 1050)(199, 1051)(200, 898)(201, 1053)(202, 899)(203, 900)(204, 1056)(205, 902)(206, 905)(207, 1059)(208, 1060)(209, 906)(210, 907)(211, 1061)(212, 1064)(213, 910)(214, 1068)(215, 912)(216, 1070)(217, 914)(218, 1072)(219, 915)(220, 916)(221, 1019)(222, 933)(223, 919)(224, 1077)(225, 1013)(226, 920)(227, 1078)(228, 922)(229, 1079)(230, 1052)(231, 1083)(232, 1084)(233, 925)(234, 1074)(235, 927)(236, 1073)(237, 929)(238, 1071)(239, 932)(240, 1069)(241, 1066)(242, 1031)(243, 1087)(244, 934)(245, 935)(246, 1090)(247, 937)(248, 940)(249, 1093)(250, 1094)(251, 941)(252, 942)(253, 1095)(254, 1098)(255, 945)(256, 1102)(257, 947)(258, 1104)(259, 949)(260, 1106)(261, 950)(262, 951)(263, 977)(264, 968)(265, 954)(266, 1111)(267, 971)(268, 955)(269, 1112)(270, 957)(271, 1113)(272, 1010)(273, 1117)(274, 1118)(275, 960)(276, 1108)(277, 962)(278, 1107)(279, 964)(280, 1105)(281, 967)(282, 1103)(283, 1100)(284, 989)(285, 1122)(286, 1123)(287, 970)(288, 1007)(289, 973)(290, 976)(291, 1091)(292, 1096)(293, 1127)(294, 978)(295, 979)(296, 1005)(297, 1129)(298, 981)(299, 1099)(300, 1003)(301, 983)(302, 1001)(303, 985)(304, 994)(305, 987)(306, 988)(307, 991)(308, 1132)(309, 1125)(310, 1114)(311, 1131)(312, 996)(313, 997)(314, 1000)(315, 1115)(316, 1130)(317, 1120)(318, 1101)(319, 1136)(320, 1137)(321, 1012)(322, 1049)(323, 1015)(324, 1018)(325, 1057)(326, 1062)(327, 1141)(328, 1020)(329, 1021)(330, 1047)(331, 1143)(332, 1023)(333, 1065)(334, 1045)(335, 1025)(336, 1043)(337, 1027)(338, 1036)(339, 1029)(340, 1030)(341, 1033)(342, 1146)(343, 1139)(344, 1080)(345, 1145)(346, 1038)(347, 1039)(348, 1042)(349, 1081)(350, 1144)(351, 1086)(352, 1067)(353, 1054)(354, 1142)(355, 1063)(356, 1055)(357, 1140)(358, 1058)(359, 1150)(360, 1085)(361, 1147)(362, 1076)(363, 1138)(364, 1149)(365, 1075)(366, 1082)(367, 1088)(368, 1128)(369, 1097)(370, 1089)(371, 1126)(372, 1092)(373, 1152)(374, 1119)(375, 1133)(376, 1110)(377, 1124)(378, 1151)(379, 1109)(380, 1116)(381, 1121)(382, 1134)(383, 1135)(384, 1148)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 6, 32 ), ( 6, 32, 6, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.3165
Graph:: simple bipartite
	v = 576 e = 768 f = 152
	degree seq :: [ 2^384, 4^192 ]

E21.3167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|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)^3, (Y1^-2 * Y3 * Y1^3 * Y3)^2, Y1^16, (Y1^5 * Y3 * Y1^3)^2, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 385, 2, 386, 5, 389, 11, 395, 21, 405, 37, 421, 63, 447, 105, 489, 166, 550, 165, 549, 104, 488, 62, 446, 36, 420, 20, 404, 10, 394, 4, 388)(3, 387, 7, 391, 15, 399, 27, 411, 47, 431, 79, 463, 131, 515, 201, 585, 243, 627, 222, 606, 149, 533, 91, 475, 54, 438, 31, 415, 17, 401, 8, 392)(6, 390, 13, 397, 25, 409, 43, 427, 73, 457, 121, 505, 189, 573, 273, 657, 242, 626, 284, 668, 200, 584, 130, 514, 78, 462, 46, 430, 26, 410, 14, 398)(9, 393, 18, 402, 32, 416, 55, 439, 92, 476, 150, 534, 223, 607, 245, 629, 167, 551, 244, 628, 214, 598, 141, 525, 86, 470, 51, 435, 29, 413, 16, 400)(12, 396, 23, 407, 41, 425, 69, 453, 115, 499, 181, 565, 264, 648, 240, 624, 164, 548, 241, 625, 272, 656, 188, 572, 120, 504, 72, 456, 42, 426, 24, 408)(19, 403, 34, 418, 58, 442, 97, 481, 156, 540, 231, 615, 247, 631, 169, 553, 106, 490, 168, 552, 246, 630, 230, 614, 155, 539, 96, 480, 57, 441, 33, 417)(22, 406, 39, 423, 67, 451, 111, 495, 176, 560, 257, 641, 238, 622, 162, 546, 103, 487, 163, 547, 239, 623, 263, 647, 180, 564, 114, 498, 68, 452, 40, 424)(28, 412, 49, 433, 83, 467, 136, 520, 208, 592, 292, 676, 356, 740, 305, 689, 221, 605, 306, 690, 327, 711, 254, 638, 173, 557, 113, 497, 84, 468, 50, 434)(30, 414, 52, 436, 87, 471, 142, 526, 215, 599, 299, 683, 352, 736, 283, 667, 202, 586, 285, 669, 322, 706, 249, 633, 174, 558, 125, 509, 75, 459, 44, 428)(35, 419, 60, 444, 100, 484, 159, 543, 235, 619, 251, 635, 171, 555, 108, 492, 64, 448, 107, 491, 170, 554, 248, 632, 234, 618, 158, 542, 99, 483, 59, 443)(38, 422, 65, 449, 109, 493, 172, 556, 252, 636, 236, 620, 160, 544, 101, 485, 61, 445, 102, 486, 161, 545, 237, 621, 256, 640, 175, 559, 110, 494, 66, 450)(45, 429, 76, 460, 126, 510, 98, 482, 157, 541, 232, 616, 315, 699, 342, 726, 274, 658, 343, 727, 367, 751, 319, 703, 250, 634, 185, 569, 117, 501, 70, 454)(48, 432, 81, 465, 135, 519, 206, 590, 289, 673, 336, 720, 265, 649, 219, 603, 148, 532, 220, 604, 304, 688, 339, 723, 269, 653, 186, 570, 119, 503, 82, 466)(53, 437, 89, 473, 145, 529, 195, 579, 279, 663, 348, 732, 287, 671, 204, 588, 132, 516, 203, 587, 286, 670, 353, 737, 302, 686, 217, 601, 144, 528, 88, 472)(56, 440, 94, 478, 153, 537, 227, 611, 311, 695, 335, 719, 373, 757, 359, 743, 298, 682, 320, 704, 261, 645, 178, 562, 112, 496, 71, 455, 118, 502, 95, 479)(74, 458, 123, 507, 193, 577, 277, 661, 345, 729, 370, 754, 329, 713, 281, 665, 199, 583, 282, 666, 351, 735, 291, 675, 207, 591, 138, 522, 179, 563, 124, 508)(77, 461, 128, 512, 93, 477, 152, 536, 226, 610, 310, 694, 344, 728, 276, 660, 190, 574, 275, 659, 213, 597, 297, 681, 350, 734, 280, 664, 196, 580, 127, 511)(80, 464, 133, 517, 187, 571, 270, 654, 324, 708, 303, 687, 218, 602, 146, 530, 90, 474, 147, 531, 182, 566, 266, 650, 328, 712, 288, 672, 205, 589, 134, 518)(85, 469, 139, 523, 211, 595, 143, 527, 216, 600, 300, 684, 361, 745, 308, 692, 224, 608, 307, 691, 321, 705, 368, 752, 354, 738, 295, 679, 210, 594, 137, 521)(116, 500, 183, 567, 267, 651, 337, 721, 374, 758, 360, 744, 318, 702, 340, 724, 271, 655, 341, 725, 378, 762, 347, 731, 278, 662, 194, 578, 255, 639, 184, 568)(122, 506, 191, 575, 262, 646, 333, 717, 309, 693, 225, 609, 151, 535, 197, 581, 129, 513, 198, 582, 258, 642, 330, 714, 296, 680, 212, 596, 140, 524, 192, 576)(154, 538, 229, 613, 294, 678, 209, 593, 293, 677, 357, 741, 372, 756, 332, 716, 314, 698, 326, 710, 253, 637, 325, 709, 369, 753, 365, 749, 313, 697, 228, 612)(177, 561, 259, 643, 331, 715, 371, 755, 366, 750, 316, 700, 233, 617, 317, 701, 334, 718, 312, 696, 364, 748, 376, 760, 338, 722, 268, 652, 323, 707, 260, 644)(290, 674, 355, 739, 375, 759, 384, 768, 382, 766, 362, 746, 301, 685, 363, 747, 377, 761, 346, 730, 379, 763, 383, 767, 381, 765, 358, 742, 380, 764, 349, 733)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 769)(4, 777)(5, 780)(6, 770)(7, 784)(8, 781)(9, 772)(10, 787)(11, 790)(12, 773)(13, 776)(14, 791)(15, 796)(16, 775)(17, 798)(18, 801)(19, 778)(20, 803)(21, 806)(22, 779)(23, 782)(24, 807)(25, 812)(26, 813)(27, 816)(28, 783)(29, 817)(30, 785)(31, 821)(32, 824)(33, 786)(34, 827)(35, 788)(36, 829)(37, 832)(38, 789)(39, 792)(40, 833)(41, 838)(42, 839)(43, 842)(44, 793)(45, 794)(46, 845)(47, 848)(48, 795)(49, 797)(50, 849)(51, 853)(52, 856)(53, 799)(54, 858)(55, 861)(56, 800)(57, 862)(58, 866)(59, 802)(60, 869)(61, 804)(62, 871)(63, 874)(64, 805)(65, 808)(66, 875)(67, 880)(68, 881)(69, 884)(70, 809)(71, 810)(72, 887)(73, 890)(74, 811)(75, 891)(76, 895)(77, 814)(78, 897)(79, 900)(80, 815)(81, 818)(82, 901)(83, 905)(84, 906)(85, 819)(86, 908)(87, 911)(88, 820)(89, 914)(90, 822)(91, 916)(92, 919)(93, 823)(94, 825)(95, 920)(96, 922)(97, 913)(98, 826)(99, 925)(100, 910)(101, 828)(102, 930)(103, 830)(104, 932)(105, 935)(106, 831)(107, 834)(108, 936)(109, 941)(110, 942)(111, 945)(112, 835)(113, 836)(114, 947)(115, 950)(116, 837)(117, 951)(118, 954)(119, 840)(120, 955)(121, 958)(122, 841)(123, 843)(124, 959)(125, 962)(126, 963)(127, 844)(128, 965)(129, 846)(130, 967)(131, 970)(132, 847)(133, 850)(134, 971)(135, 975)(136, 977)(137, 851)(138, 852)(139, 980)(140, 854)(141, 981)(142, 868)(143, 855)(144, 984)(145, 865)(146, 857)(147, 987)(148, 859)(149, 989)(150, 992)(151, 860)(152, 863)(153, 996)(154, 864)(155, 973)(156, 986)(157, 867)(158, 1001)(159, 979)(160, 983)(161, 976)(162, 870)(163, 1008)(164, 872)(165, 1010)(166, 1011)(167, 873)(168, 876)(169, 1012)(170, 1017)(171, 1018)(172, 1021)(173, 877)(174, 878)(175, 1023)(176, 1026)(177, 879)(178, 1027)(179, 882)(180, 1030)(181, 1033)(182, 883)(183, 885)(184, 1034)(185, 1036)(186, 886)(187, 888)(188, 1039)(189, 1042)(190, 889)(191, 892)(192, 1043)(193, 1046)(194, 893)(195, 894)(196, 1047)(197, 896)(198, 1049)(199, 898)(200, 1051)(201, 1052)(202, 899)(203, 902)(204, 1053)(205, 923)(206, 1058)(207, 903)(208, 929)(209, 904)(210, 1061)(211, 927)(212, 907)(213, 909)(214, 1066)(215, 928)(216, 912)(217, 1069)(218, 924)(219, 915)(220, 1073)(221, 917)(222, 1013)(223, 1074)(224, 918)(225, 1075)(226, 1037)(227, 1080)(228, 921)(229, 1056)(230, 1054)(231, 1082)(232, 1084)(233, 926)(234, 1077)(235, 1064)(236, 1086)(237, 1062)(238, 1060)(239, 1079)(240, 931)(241, 1041)(242, 933)(243, 934)(244, 937)(245, 990)(246, 1087)(247, 1088)(248, 1089)(249, 938)(250, 939)(251, 1091)(252, 1092)(253, 940)(254, 1093)(255, 943)(256, 1096)(257, 1097)(258, 944)(259, 946)(260, 1098)(261, 1100)(262, 948)(263, 1102)(264, 1103)(265, 949)(266, 952)(267, 1106)(268, 953)(269, 994)(270, 1108)(271, 956)(272, 1110)(273, 1009)(274, 957)(275, 960)(276, 1111)(277, 1114)(278, 961)(279, 964)(280, 1117)(281, 966)(282, 1120)(283, 968)(284, 969)(285, 972)(286, 998)(287, 1122)(288, 997)(289, 1118)(290, 974)(291, 1123)(292, 1006)(293, 978)(294, 1005)(295, 1126)(296, 1003)(297, 1127)(298, 982)(299, 1128)(300, 1130)(301, 985)(302, 1112)(303, 1094)(304, 1113)(305, 988)(306, 991)(307, 993)(308, 1095)(309, 1002)(310, 1131)(311, 1007)(312, 995)(313, 1132)(314, 999)(315, 1109)(316, 1000)(317, 1101)(318, 1004)(319, 1014)(320, 1015)(321, 1016)(322, 1136)(323, 1019)(324, 1020)(325, 1022)(326, 1071)(327, 1076)(328, 1024)(329, 1025)(330, 1028)(331, 1140)(332, 1029)(333, 1085)(334, 1031)(335, 1032)(336, 1141)(337, 1143)(338, 1035)(339, 1145)(340, 1038)(341, 1083)(342, 1040)(343, 1044)(344, 1070)(345, 1072)(346, 1045)(347, 1147)(348, 1148)(349, 1048)(350, 1057)(351, 1142)(352, 1050)(353, 1135)(354, 1055)(355, 1059)(356, 1138)(357, 1149)(358, 1063)(359, 1065)(360, 1067)(361, 1137)(362, 1068)(363, 1078)(364, 1081)(365, 1150)(366, 1146)(367, 1121)(368, 1090)(369, 1129)(370, 1124)(371, 1151)(372, 1099)(373, 1104)(374, 1119)(375, 1105)(376, 1152)(377, 1107)(378, 1134)(379, 1115)(380, 1116)(381, 1125)(382, 1133)(383, 1139)(384, 1144)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3164
Graph:: simple bipartite
	v = 408 e = 768 f = 320
	degree seq :: [ 2^384, 32^24 ]

E21.3168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|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, (Y2 * Y1 * Y2^-3 * Y1 * Y2)^2, Y2^16, Y2^-2 * Y1 * Y2^8 * Y1 * Y2^-6, Y2^4 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 11, 395)(6, 390, 13, 397)(8, 392, 16, 400)(10, 394, 19, 403)(12, 396, 22, 406)(14, 398, 25, 409)(15, 399, 27, 411)(17, 401, 30, 414)(18, 402, 32, 416)(20, 404, 35, 419)(21, 405, 37, 421)(23, 407, 40, 424)(24, 408, 42, 426)(26, 410, 45, 429)(28, 412, 48, 432)(29, 413, 50, 434)(31, 415, 53, 437)(33, 417, 56, 440)(34, 418, 58, 442)(36, 420, 61, 445)(38, 422, 64, 448)(39, 423, 66, 450)(41, 425, 69, 453)(43, 427, 72, 456)(44, 428, 74, 458)(46, 430, 77, 461)(47, 431, 79, 463)(49, 433, 82, 466)(51, 435, 85, 469)(52, 436, 87, 471)(54, 438, 90, 474)(55, 439, 92, 476)(57, 441, 95, 479)(59, 443, 98, 482)(60, 444, 100, 484)(62, 446, 103, 487)(63, 447, 105, 489)(65, 449, 108, 492)(67, 451, 111, 495)(68, 452, 113, 497)(70, 454, 116, 500)(71, 455, 118, 502)(73, 457, 121, 505)(75, 459, 124, 508)(76, 460, 126, 510)(78, 462, 129, 513)(80, 464, 132, 516)(81, 465, 134, 518)(83, 467, 137, 521)(84, 468, 139, 523)(86, 470, 114, 498)(88, 472, 112, 496)(89, 473, 145, 529)(91, 475, 148, 532)(93, 477, 151, 535)(94, 478, 153, 537)(96, 480, 154, 538)(97, 481, 156, 540)(99, 483, 127, 511)(101, 485, 125, 509)(102, 486, 161, 545)(104, 488, 164, 548)(106, 490, 167, 551)(107, 491, 169, 553)(109, 493, 172, 556)(110, 494, 174, 558)(115, 499, 180, 564)(117, 501, 183, 567)(119, 503, 186, 570)(120, 504, 188, 572)(122, 506, 189, 573)(123, 507, 191, 575)(128, 512, 196, 580)(130, 514, 199, 583)(131, 515, 201, 585)(133, 517, 197, 581)(135, 519, 195, 579)(136, 520, 206, 590)(138, 522, 208, 592)(140, 524, 211, 595)(141, 525, 179, 563)(142, 526, 178, 562)(143, 527, 177, 561)(144, 528, 176, 560)(146, 530, 187, 571)(147, 531, 218, 602)(149, 533, 221, 605)(150, 534, 223, 607)(152, 536, 181, 565)(155, 539, 229, 613)(157, 541, 232, 616)(158, 542, 194, 578)(159, 543, 193, 577)(160, 544, 170, 554)(162, 546, 168, 552)(163, 547, 239, 623)(165, 549, 242, 626)(166, 550, 243, 627)(171, 555, 248, 632)(173, 557, 250, 634)(175, 559, 253, 637)(182, 566, 260, 644)(184, 568, 263, 647)(185, 569, 265, 649)(190, 574, 271, 655)(192, 576, 274, 658)(198, 582, 281, 665)(200, 584, 284, 668)(202, 586, 286, 670)(203, 587, 280, 664)(204, 588, 279, 663)(205, 589, 278, 662)(207, 591, 290, 674)(209, 593, 262, 646)(210, 594, 293, 677)(212, 596, 291, 675)(213, 597, 297, 681)(214, 598, 299, 683)(215, 599, 269, 653)(216, 600, 268, 652)(217, 601, 267, 651)(219, 603, 287, 671)(220, 604, 251, 635)(222, 606, 264, 648)(224, 608, 308, 692)(225, 609, 259, 643)(226, 610, 258, 642)(227, 611, 257, 641)(228, 612, 311, 695)(230, 614, 283, 667)(231, 615, 314, 698)(233, 617, 312, 696)(234, 618, 317, 701)(235, 619, 318, 702)(236, 620, 247, 631)(237, 621, 246, 630)(238, 622, 245, 629)(240, 624, 309, 693)(241, 625, 272, 656)(244, 628, 320, 704)(249, 633, 324, 708)(252, 636, 327, 711)(254, 638, 325, 709)(255, 639, 331, 715)(256, 640, 333, 717)(261, 645, 321, 705)(266, 650, 342, 726)(270, 654, 345, 729)(273, 657, 348, 732)(275, 659, 346, 730)(276, 660, 351, 735)(277, 661, 352, 736)(282, 666, 343, 727)(285, 669, 353, 737)(288, 672, 357, 741)(289, 673, 329, 713)(292, 676, 340, 724)(294, 678, 360, 744)(295, 679, 323, 707)(296, 680, 358, 742)(298, 682, 347, 731)(300, 684, 334, 718)(301, 685, 362, 746)(302, 686, 363, 747)(303, 687, 337, 721)(304, 688, 356, 740)(305, 689, 355, 739)(306, 690, 326, 710)(307, 691, 364, 748)(310, 694, 350, 734)(313, 697, 332, 716)(315, 699, 361, 745)(316, 700, 344, 728)(319, 703, 367, 751)(322, 706, 371, 755)(328, 712, 374, 758)(330, 714, 372, 756)(335, 719, 376, 760)(336, 720, 377, 761)(338, 722, 370, 754)(339, 723, 369, 753)(341, 725, 378, 762)(349, 733, 375, 759)(354, 738, 373, 757)(359, 743, 368, 752)(365, 749, 380, 764)(366, 750, 379, 763)(381, 765, 384, 768)(382, 766, 383, 767)(769, 1153, 771, 1155, 776, 1160, 785, 1169, 799, 1183, 822, 1206, 859, 1243, 917, 1301, 990, 1374, 933, 1317, 872, 1256, 830, 1214, 804, 1188, 788, 1172, 778, 1162, 772, 1156)(770, 1154, 773, 1157, 780, 1164, 791, 1175, 809, 1193, 838, 1222, 885, 1269, 952, 1336, 1032, 1416, 968, 1352, 898, 1282, 846, 1230, 814, 1198, 794, 1178, 782, 1166, 774, 1158)(775, 1159, 781, 1165, 792, 1176, 811, 1195, 841, 1225, 890, 1274, 958, 1342, 1040, 1424, 1010, 1394, 1031, 1415, 977, 1361, 906, 1290, 851, 1235, 817, 1201, 796, 1180, 783, 1167)(777, 1161, 786, 1170, 801, 1185, 825, 1209, 864, 1248, 923, 1307, 998, 1382, 1052, 1436, 989, 1373, 1019, 1403, 941, 1325, 877, 1261, 833, 1217, 806, 1190, 789, 1173, 779, 1163)(784, 1168, 795, 1179, 815, 1199, 848, 1232, 901, 1285, 972, 1356, 1056, 1440, 1007, 1391, 932, 1316, 1009, 1393, 1066, 1450, 981, 1365, 910, 1294, 854, 1238, 819, 1203, 797, 1181)(787, 1171, 802, 1186, 827, 1211, 867, 1251, 926, 1310, 1002, 1386, 1074, 1458, 988, 1372, 916, 1300, 986, 1370, 1072, 1456, 994, 1378, 920, 1304, 861, 1245, 823, 1207, 800, 1184)(790, 1174, 805, 1189, 831, 1215, 874, 1258, 936, 1320, 1014, 1398, 1090, 1474, 1049, 1433, 967, 1351, 1051, 1435, 1100, 1484, 1023, 1407, 945, 1329, 880, 1264, 835, 1219, 807, 1191)(793, 1177, 812, 1196, 843, 1227, 893, 1277, 961, 1345, 1044, 1428, 1108, 1492, 1030, 1414, 951, 1335, 1028, 1412, 1106, 1490, 1036, 1420, 955, 1339, 887, 1271, 839, 1223, 810, 1194)(798, 1182, 818, 1202, 852, 1236, 908, 1292, 980, 1364, 1064, 1448, 1005, 1389, 929, 1313, 871, 1255, 931, 1315, 1008, 1392, 1069, 1453, 983, 1367, 912, 1296, 856, 1240, 820, 1204)(803, 1187, 828, 1212, 869, 1253, 928, 1312, 1004, 1388, 1073, 1457, 987, 1371, 915, 1299, 858, 1242, 913, 1297, 984, 1368, 1070, 1454, 1001, 1385, 925, 1309, 865, 1249, 826, 1210)(808, 1192, 834, 1218, 878, 1262, 943, 1327, 1022, 1406, 1098, 1482, 1047, 1431, 964, 1348, 897, 1281, 966, 1350, 1050, 1434, 1103, 1487, 1025, 1409, 947, 1331, 882, 1266, 836, 1220)(813, 1197, 844, 1228, 895, 1279, 963, 1347, 1046, 1430, 1107, 1491, 1029, 1413, 950, 1334, 884, 1268, 948, 1332, 1026, 1410, 1104, 1488, 1043, 1427, 960, 1344, 891, 1275, 842, 1226)(816, 1200, 849, 1233, 903, 1287, 866, 1250, 924, 1308, 999, 1383, 1083, 1467, 1115, 1499, 1039, 1423, 1113, 1497, 1145, 1529, 1124, 1508, 1055, 1439, 970, 1354, 899, 1283, 847, 1231)(821, 1205, 855, 1239, 911, 1295, 982, 1366, 1068, 1452, 1003, 1387, 927, 1311, 868, 1252, 829, 1213, 870, 1254, 930, 1314, 1006, 1390, 1071, 1455, 985, 1369, 914, 1298, 857, 1241)(824, 1208, 860, 1244, 918, 1302, 992, 1376, 1077, 1461, 1125, 1509, 1140, 1524, 1092, 1476, 1018, 1402, 1094, 1478, 1062, 1446, 978, 1362, 907, 1291, 853, 1237, 909, 1293, 862, 1246)(832, 1216, 875, 1259, 938, 1322, 892, 1276, 959, 1343, 1041, 1425, 1117, 1501, 1081, 1465, 997, 1381, 1079, 1463, 1131, 1515, 1138, 1522, 1089, 1473, 1012, 1396, 934, 1318, 873, 1257)(837, 1221, 881, 1265, 946, 1330, 1024, 1408, 1102, 1486, 1045, 1429, 962, 1346, 894, 1278, 845, 1229, 896, 1280, 965, 1349, 1048, 1432, 1105, 1489, 1027, 1411, 949, 1333, 883, 1267)(840, 1224, 886, 1270, 953, 1337, 1034, 1418, 1111, 1495, 1139, 1523, 1126, 1510, 1058, 1442, 976, 1360, 1060, 1444, 1096, 1480, 1020, 1404, 942, 1326, 879, 1263, 944, 1328, 888, 1272)(850, 1234, 904, 1288, 863, 1247, 921, 1305, 995, 1379, 1078, 1462, 1114, 1498, 1038, 1422, 957, 1341, 1016, 1400, 940, 1324, 1017, 1401, 1093, 1477, 1057, 1441, 973, 1357, 902, 1286)(876, 1260, 939, 1323, 889, 1273, 956, 1340, 1037, 1421, 1112, 1496, 1080, 1464, 996, 1380, 922, 1306, 974, 1358, 905, 1289, 975, 1359, 1059, 1443, 1091, 1475, 1015, 1399, 937, 1321)(900, 1284, 969, 1353, 1053, 1437, 1122, 1506, 1142, 1526, 1119, 1503, 1086, 1470, 1101, 1485, 1065, 1449, 1129, 1513, 1147, 1531, 1109, 1493, 1033, 1417, 954, 1338, 1035, 1419, 971, 1355)(919, 1303, 993, 1377, 1013, 1397, 935, 1319, 1011, 1395, 1087, 1471, 1136, 1520, 1128, 1512, 1085, 1469, 1120, 1504, 1067, 1451, 1099, 1483, 1143, 1527, 1133, 1517, 1075, 1459, 991, 1375)(979, 1363, 1061, 1445, 1127, 1511, 1150, 1534, 1134, 1518, 1082, 1466, 1000, 1384, 1084, 1468, 1130, 1514, 1076, 1460, 1132, 1516, 1149, 1533, 1121, 1505, 1054, 1438, 1123, 1507, 1063, 1447)(1021, 1405, 1095, 1479, 1141, 1525, 1152, 1536, 1148, 1532, 1116, 1500, 1042, 1426, 1118, 1502, 1144, 1528, 1110, 1494, 1146, 1530, 1151, 1535, 1135, 1519, 1088, 1472, 1137, 1521, 1097, 1481)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 779)(6, 781)(7, 771)(8, 784)(9, 772)(10, 787)(11, 773)(12, 790)(13, 774)(14, 793)(15, 795)(16, 776)(17, 798)(18, 800)(19, 778)(20, 803)(21, 805)(22, 780)(23, 808)(24, 810)(25, 782)(26, 813)(27, 783)(28, 816)(29, 818)(30, 785)(31, 821)(32, 786)(33, 824)(34, 826)(35, 788)(36, 829)(37, 789)(38, 832)(39, 834)(40, 791)(41, 837)(42, 792)(43, 840)(44, 842)(45, 794)(46, 845)(47, 847)(48, 796)(49, 850)(50, 797)(51, 853)(52, 855)(53, 799)(54, 858)(55, 860)(56, 801)(57, 863)(58, 802)(59, 866)(60, 868)(61, 804)(62, 871)(63, 873)(64, 806)(65, 876)(66, 807)(67, 879)(68, 881)(69, 809)(70, 884)(71, 886)(72, 811)(73, 889)(74, 812)(75, 892)(76, 894)(77, 814)(78, 897)(79, 815)(80, 900)(81, 902)(82, 817)(83, 905)(84, 907)(85, 819)(86, 882)(87, 820)(88, 880)(89, 913)(90, 822)(91, 916)(92, 823)(93, 919)(94, 921)(95, 825)(96, 922)(97, 924)(98, 827)(99, 895)(100, 828)(101, 893)(102, 929)(103, 830)(104, 932)(105, 831)(106, 935)(107, 937)(108, 833)(109, 940)(110, 942)(111, 835)(112, 856)(113, 836)(114, 854)(115, 948)(116, 838)(117, 951)(118, 839)(119, 954)(120, 956)(121, 841)(122, 957)(123, 959)(124, 843)(125, 869)(126, 844)(127, 867)(128, 964)(129, 846)(130, 967)(131, 969)(132, 848)(133, 965)(134, 849)(135, 963)(136, 974)(137, 851)(138, 976)(139, 852)(140, 979)(141, 947)(142, 946)(143, 945)(144, 944)(145, 857)(146, 955)(147, 986)(148, 859)(149, 989)(150, 991)(151, 861)(152, 949)(153, 862)(154, 864)(155, 997)(156, 865)(157, 1000)(158, 962)(159, 961)(160, 938)(161, 870)(162, 936)(163, 1007)(164, 872)(165, 1010)(166, 1011)(167, 874)(168, 930)(169, 875)(170, 928)(171, 1016)(172, 877)(173, 1018)(174, 878)(175, 1021)(176, 912)(177, 911)(178, 910)(179, 909)(180, 883)(181, 920)(182, 1028)(183, 885)(184, 1031)(185, 1033)(186, 887)(187, 914)(188, 888)(189, 890)(190, 1039)(191, 891)(192, 1042)(193, 927)(194, 926)(195, 903)(196, 896)(197, 901)(198, 1049)(199, 898)(200, 1052)(201, 899)(202, 1054)(203, 1048)(204, 1047)(205, 1046)(206, 904)(207, 1058)(208, 906)(209, 1030)(210, 1061)(211, 908)(212, 1059)(213, 1065)(214, 1067)(215, 1037)(216, 1036)(217, 1035)(218, 915)(219, 1055)(220, 1019)(221, 917)(222, 1032)(223, 918)(224, 1076)(225, 1027)(226, 1026)(227, 1025)(228, 1079)(229, 923)(230, 1051)(231, 1082)(232, 925)(233, 1080)(234, 1085)(235, 1086)(236, 1015)(237, 1014)(238, 1013)(239, 931)(240, 1077)(241, 1040)(242, 933)(243, 934)(244, 1088)(245, 1006)(246, 1005)(247, 1004)(248, 939)(249, 1092)(250, 941)(251, 988)(252, 1095)(253, 943)(254, 1093)(255, 1099)(256, 1101)(257, 995)(258, 994)(259, 993)(260, 950)(261, 1089)(262, 977)(263, 952)(264, 990)(265, 953)(266, 1110)(267, 985)(268, 984)(269, 983)(270, 1113)(271, 958)(272, 1009)(273, 1116)(274, 960)(275, 1114)(276, 1119)(277, 1120)(278, 973)(279, 972)(280, 971)(281, 966)(282, 1111)(283, 998)(284, 968)(285, 1121)(286, 970)(287, 987)(288, 1125)(289, 1097)(290, 975)(291, 980)(292, 1108)(293, 978)(294, 1128)(295, 1091)(296, 1126)(297, 981)(298, 1115)(299, 982)(300, 1102)(301, 1130)(302, 1131)(303, 1105)(304, 1124)(305, 1123)(306, 1094)(307, 1132)(308, 992)(309, 1008)(310, 1118)(311, 996)(312, 1001)(313, 1100)(314, 999)(315, 1129)(316, 1112)(317, 1002)(318, 1003)(319, 1135)(320, 1012)(321, 1029)(322, 1139)(323, 1063)(324, 1017)(325, 1022)(326, 1074)(327, 1020)(328, 1142)(329, 1057)(330, 1140)(331, 1023)(332, 1081)(333, 1024)(334, 1068)(335, 1144)(336, 1145)(337, 1071)(338, 1138)(339, 1137)(340, 1060)(341, 1146)(342, 1034)(343, 1050)(344, 1084)(345, 1038)(346, 1043)(347, 1066)(348, 1041)(349, 1143)(350, 1078)(351, 1044)(352, 1045)(353, 1053)(354, 1141)(355, 1073)(356, 1072)(357, 1056)(358, 1064)(359, 1136)(360, 1062)(361, 1083)(362, 1069)(363, 1070)(364, 1075)(365, 1148)(366, 1147)(367, 1087)(368, 1127)(369, 1107)(370, 1106)(371, 1090)(372, 1098)(373, 1122)(374, 1096)(375, 1117)(376, 1103)(377, 1104)(378, 1109)(379, 1134)(380, 1133)(381, 1152)(382, 1151)(383, 1150)(384, 1149)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3169
Graph:: bipartite
	v = 216 e = 768 f = 512
	degree seq :: [ 4^192, 32^24 ]

E21.3169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 570>$ (small group id <384, 570>)
Aut   = $<768, 1085768>$ (small group id <768, 1085768>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y3^-4 * Y1^-1 * Y3^2 * Y1 * Y3^-3 * Y1 * Y3^-1 * Y1, (Y3^7 * Y1^-1)^2, (Y3^-2 * Y1 * Y3^-1)^4, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 385, 2, 386, 4, 388)(3, 387, 8, 392, 10, 394)(5, 389, 12, 396, 6, 390)(7, 391, 15, 399, 11, 395)(9, 393, 18, 402, 20, 404)(13, 397, 25, 409, 23, 407)(14, 398, 24, 408, 28, 412)(16, 400, 31, 415, 29, 413)(17, 401, 33, 417, 21, 405)(19, 403, 36, 420, 38, 422)(22, 406, 30, 414, 42, 426)(26, 410, 47, 431, 45, 429)(27, 411, 49, 433, 51, 435)(32, 416, 57, 441, 55, 439)(34, 418, 61, 445, 59, 443)(35, 419, 63, 447, 39, 423)(37, 421, 66, 450, 68, 452)(40, 424, 60, 444, 72, 456)(41, 425, 73, 457, 75, 459)(43, 427, 46, 430, 78, 462)(44, 428, 79, 463, 52, 436)(48, 432, 85, 469, 83, 467)(50, 434, 88, 472, 90, 474)(53, 437, 56, 440, 94, 478)(54, 438, 95, 479, 76, 460)(58, 442, 101, 485, 99, 483)(62, 446, 107, 491, 105, 489)(64, 448, 111, 495, 109, 493)(65, 449, 113, 497, 69, 453)(67, 451, 116, 500, 118, 502)(70, 454, 110, 494, 122, 506)(71, 455, 123, 507, 125, 509)(74, 458, 128, 512, 130, 514)(77, 461, 133, 517, 135, 519)(80, 464, 139, 523, 137, 521)(81, 465, 84, 468, 142, 526)(82, 466, 143, 527, 136, 520)(86, 470, 149, 533, 147, 531)(87, 471, 151, 535, 91, 475)(89, 473, 154, 538, 156, 540)(92, 476, 138, 522, 160, 544)(93, 477, 161, 545, 163, 547)(96, 480, 167, 551, 165, 549)(97, 481, 100, 484, 170, 554)(98, 482, 171, 555, 164, 548)(102, 486, 177, 561, 175, 559)(103, 487, 106, 490, 180, 564)(104, 488, 181, 565, 126, 510)(108, 492, 187, 571, 185, 569)(112, 496, 157, 541, 153, 537)(114, 498, 194, 578, 152, 536)(115, 499, 168, 552, 119, 503)(117, 501, 197, 581, 199, 583)(120, 504, 193, 577, 203, 587)(121, 505, 204, 588, 206, 590)(124, 508, 173, 557, 176, 560)(127, 511, 195, 579, 131, 515)(129, 513, 213, 597, 215, 599)(132, 516, 166, 550, 219, 603)(134, 518, 183, 567, 186, 570)(140, 524, 216, 600, 212, 596)(141, 525, 179, 563, 169, 553)(144, 528, 230, 614, 228, 612)(145, 529, 148, 532, 162, 546)(146, 530, 232, 616, 227, 611)(150, 534, 238, 622, 236, 620)(155, 539, 242, 626, 244, 628)(158, 542, 240, 624, 248, 632)(159, 543, 249, 633, 251, 635)(172, 556, 262, 646, 260, 644)(174, 558, 264, 648, 259, 643)(178, 562, 270, 654, 268, 652)(182, 566, 275, 659, 273, 657)(184, 568, 277, 661, 272, 656)(188, 572, 283, 667, 281, 665)(189, 573, 191, 575, 221, 605)(190, 574, 285, 669, 207, 591)(192, 576, 288, 672, 246, 630)(196, 580, 276, 660, 200, 584)(198, 582, 293, 677, 271, 655)(201, 585, 258, 642, 298, 682)(202, 586, 299, 683, 265, 649)(205, 589, 279, 663, 282, 666)(208, 592, 257, 641, 210, 594)(209, 593, 267, 651, 307, 691)(211, 595, 274, 658, 310, 694)(214, 598, 312, 696, 314, 698)(217, 601, 291, 675, 318, 702)(218, 602, 319, 703, 321, 705)(220, 604, 280, 664, 324, 708)(222, 606, 229, 613, 327, 711)(223, 607, 225, 609, 254, 638)(224, 608, 328, 712, 252, 636)(226, 610, 330, 714, 316, 700)(231, 615, 245, 629, 241, 625)(233, 617, 317, 701, 334, 718)(234, 618, 237, 621, 250, 634)(235, 619, 336, 720, 253, 637)(239, 623, 313, 697, 338, 722)(243, 627, 341, 725, 284, 668)(247, 631, 346, 730, 278, 662)(255, 639, 261, 645, 355, 739)(256, 640, 356, 740, 322, 706)(263, 647, 315, 699, 311, 695)(266, 650, 269, 653, 320, 704)(286, 670, 358, 742, 361, 745)(287, 671, 359, 743, 325, 709)(289, 673, 375, 759, 373, 757)(290, 674, 354, 738, 301, 685)(292, 676, 372, 756, 295, 679)(294, 678, 342, 726, 371, 755)(296, 680, 365, 749, 344, 728)(297, 681, 377, 761, 368, 752)(300, 684, 345, 729, 374, 758)(302, 686, 353, 737, 304, 688)(303, 687, 370, 754, 349, 733)(305, 689, 351, 735, 379, 763)(306, 690, 380, 764, 337, 721)(308, 692, 350, 734, 332, 716)(309, 693, 348, 732, 339, 723)(323, 707, 384, 768, 362, 746)(326, 710, 383, 767, 376, 760)(329, 713, 363, 747, 366, 750)(331, 715, 335, 719, 357, 741)(333, 717, 360, 744, 364, 748)(340, 724, 378, 762, 343, 727)(347, 731, 367, 751, 381, 765)(352, 736, 382, 766, 369, 753)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 777)(4, 779)(5, 769)(6, 782)(7, 770)(8, 772)(9, 787)(10, 789)(11, 790)(12, 791)(13, 773)(14, 795)(15, 797)(16, 775)(17, 776)(18, 778)(19, 805)(20, 807)(21, 808)(22, 809)(23, 811)(24, 780)(25, 813)(26, 781)(27, 818)(28, 820)(29, 821)(30, 783)(31, 823)(32, 784)(33, 827)(34, 785)(35, 786)(36, 788)(37, 835)(38, 837)(39, 838)(40, 839)(41, 842)(42, 844)(43, 845)(44, 792)(45, 849)(46, 793)(47, 851)(48, 794)(49, 796)(50, 857)(51, 859)(52, 860)(53, 861)(54, 798)(55, 865)(56, 799)(57, 867)(58, 800)(59, 871)(60, 801)(61, 873)(62, 802)(63, 877)(64, 803)(65, 804)(66, 806)(67, 885)(68, 887)(69, 888)(70, 889)(71, 892)(72, 894)(73, 810)(74, 897)(75, 899)(76, 900)(77, 902)(78, 904)(79, 905)(80, 812)(81, 909)(82, 814)(83, 913)(84, 815)(85, 915)(86, 816)(87, 817)(88, 819)(89, 923)(90, 925)(91, 926)(92, 927)(93, 930)(94, 932)(95, 933)(96, 822)(97, 937)(98, 824)(99, 941)(100, 825)(101, 943)(102, 826)(103, 947)(104, 828)(105, 951)(106, 829)(107, 953)(108, 830)(109, 957)(110, 831)(111, 921)(112, 832)(113, 920)(114, 833)(115, 834)(116, 836)(117, 966)(118, 968)(119, 969)(120, 970)(121, 973)(122, 975)(123, 840)(124, 977)(125, 978)(126, 979)(127, 841)(128, 843)(129, 982)(130, 984)(131, 985)(132, 986)(133, 846)(134, 988)(135, 989)(136, 990)(137, 991)(138, 847)(139, 980)(140, 848)(141, 938)(142, 995)(143, 996)(144, 850)(145, 931)(146, 852)(147, 1002)(148, 853)(149, 1004)(150, 854)(151, 962)(152, 855)(153, 856)(154, 858)(155, 1011)(156, 1013)(157, 1014)(158, 1015)(159, 1018)(160, 1020)(161, 862)(162, 1021)(163, 1022)(164, 1023)(165, 976)(166, 863)(167, 883)(168, 864)(169, 948)(170, 1027)(171, 1028)(172, 866)(173, 893)(174, 868)(175, 1034)(176, 869)(177, 1036)(178, 870)(179, 910)(180, 1040)(181, 1041)(182, 872)(183, 903)(184, 874)(185, 1047)(186, 875)(187, 1049)(188, 876)(189, 901)(190, 878)(191, 879)(192, 880)(193, 881)(194, 895)(195, 882)(196, 884)(197, 886)(198, 1062)(199, 1063)(200, 1064)(201, 1065)(202, 1068)(203, 1069)(204, 890)(205, 1071)(206, 1072)(207, 1073)(208, 891)(209, 1074)(210, 1076)(211, 1077)(212, 896)(213, 898)(214, 1081)(215, 1083)(216, 1084)(217, 1085)(218, 1088)(219, 1090)(220, 1091)(221, 1093)(222, 1094)(223, 929)(224, 906)(225, 907)(226, 908)(227, 1099)(228, 1100)(229, 911)(230, 1009)(231, 912)(232, 1102)(233, 914)(234, 1019)(235, 916)(236, 1105)(237, 917)(238, 1106)(239, 918)(240, 919)(241, 922)(242, 924)(243, 1110)(244, 1111)(245, 1112)(246, 1113)(247, 1115)(248, 1116)(249, 928)(250, 1117)(251, 1118)(252, 1119)(253, 1120)(254, 1121)(255, 1122)(256, 934)(257, 935)(258, 936)(259, 1126)(260, 1127)(261, 939)(262, 1079)(263, 940)(264, 1067)(265, 942)(266, 1089)(267, 944)(268, 1130)(269, 945)(270, 1061)(271, 946)(272, 1131)(273, 1070)(274, 949)(275, 964)(276, 950)(277, 1114)(278, 952)(279, 974)(280, 954)(281, 1137)(282, 955)(283, 1109)(284, 956)(285, 1129)(286, 958)(287, 959)(288, 1141)(289, 960)(290, 961)(291, 963)(292, 965)(293, 967)(294, 1007)(295, 994)(296, 999)(297, 1001)(298, 1146)(299, 971)(300, 1003)(301, 1123)(302, 972)(303, 1005)(304, 993)(305, 1124)(306, 1006)(307, 1149)(308, 998)(309, 1150)(310, 1128)(311, 981)(312, 983)(313, 1139)(314, 1057)(315, 1133)(316, 1135)(317, 1136)(318, 1151)(319, 987)(320, 1138)(321, 1055)(322, 1147)(323, 1038)(324, 1145)(325, 1030)(326, 1148)(327, 1132)(328, 1134)(329, 992)(330, 1140)(331, 1143)(332, 1017)(333, 997)(334, 1086)(335, 1000)(336, 1142)(337, 1144)(338, 1082)(339, 1008)(340, 1010)(341, 1012)(342, 1039)(343, 1026)(344, 1031)(345, 1033)(346, 1016)(347, 1035)(348, 1078)(349, 1037)(350, 1025)(351, 1053)(352, 1051)(353, 1043)(354, 1152)(355, 1101)(356, 1103)(357, 1024)(358, 1060)(359, 1087)(360, 1029)(361, 1032)(362, 1058)(363, 1108)(364, 1042)(365, 1044)(366, 1045)(367, 1046)(368, 1048)(369, 1107)(370, 1050)(371, 1052)(372, 1054)(373, 1125)(374, 1056)(375, 1080)(376, 1059)(377, 1066)(378, 1097)(379, 1096)(380, 1075)(381, 1098)(382, 1104)(383, 1095)(384, 1092)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.3168
Graph:: simple bipartite
	v = 512 e = 768 f = 216
	degree seq :: [ 2^384, 6^128 ]

E21.3170 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 16})
Quotient :: regular
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-2 * T2 * T1^-1 * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^16, T1^-4 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-4 * T2, T2 * T1^4 * T2 * T1^-5 * T2 * T1^4 * T2 * T1^-7 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 97, 141, 140, 96, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 115, 167, 217, 179, 127, 87, 54, 31, 17, 8)(6, 13, 25, 43, 73, 109, 157, 209, 270, 216, 166, 114, 78, 46, 26, 14)(9, 18, 32, 55, 88, 128, 180, 234, 293, 227, 175, 122, 84, 51, 29, 16)(12, 23, 41, 69, 105, 152, 205, 265, 325, 269, 208, 156, 108, 72, 42, 24)(19, 34, 58, 91, 133, 184, 241, 301, 331, 276, 212, 161, 111, 74, 57, 33)(22, 39, 67, 53, 85, 123, 176, 228, 294, 324, 264, 204, 151, 104, 68, 40)(28, 49, 70, 45, 76, 103, 149, 197, 256, 311, 292, 225, 174, 120, 83, 50)(30, 52, 71, 106, 147, 199, 254, 313, 300, 240, 183, 132, 90, 56, 75, 44)(35, 60, 92, 135, 185, 243, 302, 342, 290, 224, 172, 119, 82, 48, 81, 59)(38, 65, 101, 77, 112, 162, 213, 277, 332, 365, 321, 261, 201, 148, 102, 66)(61, 94, 136, 187, 244, 304, 352, 372, 330, 274, 211, 158, 131, 89, 130, 93)(64, 99, 145, 107, 154, 126, 177, 230, 295, 345, 362, 318, 258, 198, 146, 100)(80, 117, 153, 121, 163, 113, 164, 203, 262, 317, 360, 340, 289, 222, 171, 118)(86, 125, 155, 206, 260, 319, 358, 351, 299, 238, 182, 129, 160, 110, 159, 124)(95, 138, 188, 246, 305, 354, 379, 339, 287, 221, 170, 116, 169, 134, 173, 137)(98, 143, 195, 150, 202, 165, 214, 279, 333, 375, 381, 359, 315, 255, 196, 144)(139, 190, 247, 307, 355, 361, 382, 367, 329, 271, 237, 181, 236, 186, 239, 189)(142, 193, 252, 200, 259, 207, 267, 233, 296, 347, 377, 353, 356, 312, 253, 194)(168, 219, 266, 223, 278, 226, 280, 215, 281, 323, 366, 383, 378, 337, 286, 220)(178, 232, 268, 326, 364, 384, 380, 349, 298, 235, 273, 210, 272, 229, 275, 231)(191, 249, 308, 314, 357, 320, 363, 327, 285, 218, 284, 242, 288, 245, 291, 248)(192, 250, 309, 257, 316, 263, 322, 282, 334, 297, 348, 303, 350, 306, 310, 251)(283, 335, 368, 338, 374, 341, 376, 343, 370, 328, 369, 344, 371, 346, 373, 336)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 116)(82, 117)(84, 121)(85, 124)(87, 126)(88, 129)(90, 130)(91, 134)(92, 132)(94, 137)(96, 139)(97, 142)(100, 143)(102, 147)(104, 150)(105, 153)(106, 145)(108, 155)(109, 158)(111, 159)(112, 163)(114, 165)(115, 168)(118, 169)(119, 152)(120, 173)(122, 162)(123, 161)(125, 154)(127, 178)(128, 181)(131, 160)(133, 171)(135, 186)(136, 174)(138, 189)(140, 191)(141, 192)(144, 193)(146, 197)(148, 200)(149, 195)(151, 203)(156, 207)(157, 210)(164, 202)(166, 215)(167, 218)(170, 219)(172, 223)(175, 226)(176, 229)(177, 231)(179, 233)(180, 235)(182, 236)(183, 239)(184, 242)(185, 238)(187, 245)(188, 240)(190, 248)(194, 250)(196, 254)(198, 257)(199, 252)(201, 260)(204, 263)(205, 266)(206, 259)(208, 268)(209, 271)(211, 272)(212, 275)(213, 278)(214, 280)(216, 282)(217, 283)(220, 284)(221, 265)(222, 288)(224, 277)(225, 291)(227, 279)(228, 274)(230, 276)(232, 267)(234, 297)(237, 273)(241, 286)(243, 303)(244, 289)(246, 306)(247, 292)(249, 251)(253, 311)(255, 314)(256, 309)(258, 317)(261, 320)(262, 316)(264, 323)(269, 327)(270, 328)(281, 322)(285, 335)(287, 338)(290, 341)(293, 343)(294, 344)(295, 346)(296, 336)(298, 348)(299, 350)(300, 310)(301, 347)(302, 349)(304, 353)(305, 351)(307, 312)(308, 313)(315, 358)(318, 361)(319, 357)(321, 364)(324, 367)(325, 368)(326, 363)(329, 369)(330, 371)(331, 373)(332, 374)(333, 376)(334, 370)(337, 377)(339, 365)(340, 356)(342, 375)(345, 372)(352, 378)(354, 359)(355, 360)(362, 383)(366, 382)(379, 384)(380, 381)
	local type(s) :: { ( 3^16 ) }
Outer automorphisms :: reflexible
Dual of E21.3171
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 24 e = 192 f = 128
	degree seq :: [ 16^24 ]

E21.3171 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 16})
Quotient :: regular
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1^-1 * T2 * T1)^3, (T1^-1 * T2)^16 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 37, 41)(29, 42, 43)(30, 44, 45)(35, 49, 50)(36, 47, 51)(38, 52, 53)(46, 60, 61)(48, 62, 63)(54, 69, 70)(55, 58, 71)(56, 72, 73)(57, 74, 75)(59, 76, 77)(64, 82, 83)(65, 67, 84)(66, 85, 86)(68, 87, 88)(78, 98, 99)(79, 80, 100)(81, 101, 102)(89, 110, 111)(90, 92, 112)(91, 113, 114)(93, 108, 115)(94, 116, 117)(95, 96, 118)(97, 119, 120)(103, 200, 373)(104, 106, 205)(105, 203, 375)(107, 123, 224)(109, 207, 377)(121, 220, 383)(122, 222, 384)(124, 225, 210)(125, 227, 229)(126, 230, 232)(127, 233, 235)(128, 236, 238)(129, 239, 241)(130, 242, 244)(131, 245, 247)(132, 248, 250)(133, 251, 252)(134, 253, 256)(135, 257, 259)(136, 260, 261)(137, 262, 265)(138, 234, 267)(139, 268, 270)(140, 271, 273)(141, 274, 209)(142, 275, 278)(143, 240, 280)(144, 281, 272)(145, 283, 285)(146, 286, 287)(147, 288, 290)(148, 291, 293)(149, 246, 295)(150, 296, 284)(151, 298, 299)(152, 300, 301)(153, 302, 304)(154, 305, 307)(155, 308, 258)(156, 263, 311)(157, 254, 312)(158, 313, 310)(159, 315, 316)(160, 317, 318)(161, 319, 321)(162, 322, 243)(163, 276, 324)(164, 325, 309)(165, 326, 327)(166, 328, 294)(167, 329, 330)(168, 331, 332)(169, 333, 335)(170, 336, 249)(171, 337, 323)(172, 338, 339)(173, 340, 266)(174, 341, 342)(175, 343, 345)(176, 277, 346)(177, 347, 237)(178, 292, 349)(179, 350, 282)(180, 351, 269)(181, 352, 348)(182, 353, 212)(183, 354, 279)(184, 355, 357)(185, 255, 358)(186, 218, 228)(187, 306, 360)(188, 361, 297)(189, 362, 359)(190, 202, 363)(191, 364, 221)(192, 206, 365)(193, 366, 223)(194, 367, 204)(195, 226, 208)(196, 264, 369)(197, 370, 231)(198, 320, 371)(199, 372, 368)(201, 216, 374)(211, 303, 379)(213, 376, 314)(214, 344, 378)(215, 289, 380)(217, 334, 381)(219, 382, 356)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 78)(61, 79)(62, 80)(63, 81)(69, 89)(70, 90)(71, 91)(72, 92)(73, 93)(74, 94)(75, 95)(76, 96)(77, 97)(82, 103)(83, 104)(84, 105)(85, 106)(86, 107)(87, 108)(88, 109)(98, 121)(99, 117)(100, 122)(101, 123)(102, 124)(110, 126)(111, 209)(112, 143)(113, 141)(114, 212)(115, 185)(116, 138)(118, 176)(119, 182)(120, 218)(125, 220)(127, 234)(128, 200)(129, 240)(130, 230)(131, 246)(132, 236)(133, 203)(134, 254)(135, 227)(136, 222)(137, 263)(139, 242)(140, 233)(142, 276)(144, 248)(145, 239)(146, 277)(147, 283)(148, 292)(149, 205)(150, 257)(151, 245)(152, 255)(153, 298)(154, 306)(155, 268)(156, 251)(157, 274)(158, 271)(159, 253)(160, 264)(161, 320)(162, 281)(163, 260)(164, 262)(165, 207)(166, 315)(167, 303)(168, 289)(169, 334)(170, 296)(171, 275)(172, 225)(173, 325)(174, 314)(175, 344)(177, 308)(178, 286)(179, 288)(180, 313)(181, 291)(183, 337)(184, 356)(186, 322)(187, 300)(188, 302)(189, 305)(190, 228)(191, 350)(192, 297)(193, 362)(194, 352)(195, 368)(196, 224)(197, 336)(198, 317)(199, 319)(201, 231)(202, 361)(204, 269)(206, 372)(208, 348)(210, 347)(211, 326)(213, 328)(214, 329)(215, 353)(216, 351)(217, 331)(219, 333)(221, 237)(223, 282)(226, 359)(229, 235)(232, 241)(238, 247)(243, 266)(244, 256)(249, 279)(250, 265)(252, 373)(258, 294)(259, 278)(261, 383)(267, 287)(270, 290)(272, 304)(273, 293)(280, 301)(284, 310)(285, 307)(295, 318)(299, 321)(309, 345)(311, 330)(312, 332)(316, 335)(323, 357)(324, 342)(327, 375)(338, 376)(339, 384)(340, 380)(341, 382)(343, 381)(346, 363)(349, 365)(354, 379)(355, 378)(358, 374)(360, 367)(364, 369)(366, 371)(370, 377)
	local type(s) :: { ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E21.3170
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 128 e = 192 f = 24
	degree seq :: [ 3^128 ]

E21.3172 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 16})
Quotient :: edge
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, (T2^-1 * T1)^16 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 55, 56)(44, 47, 57)(45, 58, 59)(46, 60, 61)(48, 62, 63)(49, 64, 65)(50, 53, 66)(51, 67, 68)(52, 69, 70)(54, 71, 72)(73, 91, 92)(74, 76, 93)(75, 94, 95)(77, 96, 97)(78, 98, 99)(79, 80, 100)(81, 101, 102)(82, 103, 104)(83, 85, 105)(84, 106, 107)(86, 108, 109)(87, 110, 111)(88, 89, 112)(90, 113, 114)(115, 210, 373)(116, 118, 213)(117, 212, 285)(119, 123, 218)(120, 215, 222)(121, 216, 346)(122, 217, 259)(124, 219, 226)(125, 220, 221)(126, 223, 225)(127, 227, 229)(128, 231, 233)(129, 234, 236)(130, 237, 230)(131, 239, 241)(132, 242, 244)(133, 246, 248)(134, 249, 251)(135, 253, 255)(136, 256, 258)(137, 260, 262)(138, 263, 265)(139, 266, 238)(140, 267, 245)(141, 269, 252)(142, 271, 272)(143, 273, 275)(144, 208, 268)(145, 277, 279)(146, 281, 282)(147, 283, 284)(148, 286, 288)(149, 289, 254)(150, 292, 293)(151, 294, 296)(152, 297, 299)(153, 300, 301)(154, 302, 280)(155, 304, 306)(156, 307, 240)(157, 309, 270)(158, 310, 291)(159, 311, 303)(160, 313, 314)(161, 315, 316)(162, 317, 298)(163, 319, 320)(164, 321, 247)(165, 324, 325)(166, 326, 305)(167, 295, 328)(168, 329, 232)(169, 332, 333)(170, 334, 335)(171, 336, 278)(172, 338, 339)(173, 340, 261)(174, 343, 344)(175, 345, 287)(176, 274, 347)(177, 348, 224)(178, 350, 312)(179, 351, 318)(180, 352, 323)(181, 353, 327)(182, 354, 331)(183, 356, 337)(184, 357, 342)(185, 359, 360)(186, 361, 362)(187, 363, 290)(188, 341, 365)(189, 366, 276)(190, 201, 355)(191, 367, 228)(192, 369, 349)(193, 370, 371)(194, 372, 264)(195, 257, 374)(196, 375, 197)(198, 376, 377)(199, 358, 211)(200, 378, 308)(202, 322, 379)(203, 364, 214)(204, 380, 235)(205, 381, 330)(206, 382, 368)(207, 383, 250)(209, 243, 384)(385, 386)(387, 391)(388, 392)(389, 393)(390, 394)(395, 403)(396, 404)(397, 405)(398, 406)(399, 407)(400, 408)(401, 409)(402, 410)(411, 427)(412, 428)(413, 421)(414, 429)(415, 430)(416, 424)(417, 431)(418, 432)(419, 433)(420, 434)(422, 435)(423, 436)(425, 437)(426, 438)(439, 457)(440, 458)(441, 459)(442, 460)(443, 461)(444, 462)(445, 463)(446, 464)(447, 465)(448, 466)(449, 467)(450, 468)(451, 469)(452, 470)(453, 471)(454, 472)(455, 473)(456, 474)(475, 499)(476, 500)(477, 501)(478, 502)(479, 503)(480, 492)(481, 504)(482, 505)(483, 495)(484, 506)(485, 507)(486, 508)(487, 581)(488, 574)(489, 543)(490, 585)(491, 528)(493, 514)(494, 565)(496, 524)(497, 592)(498, 509)(510, 606)(511, 610)(512, 614)(513, 605)(515, 622)(516, 609)(517, 629)(518, 613)(519, 636)(520, 617)(521, 643)(522, 620)(523, 602)(525, 652)(526, 654)(527, 625)(529, 628)(530, 664)(531, 632)(532, 669)(533, 635)(534, 675)(535, 639)(536, 642)(537, 668)(538, 646)(539, 687)(540, 649)(541, 672)(542, 690)(544, 696)(545, 656)(546, 659)(547, 702)(548, 663)(549, 707)(550, 666)(551, 711)(552, 638)(553, 715)(554, 677)(555, 680)(556, 721)(557, 683)(558, 726)(559, 685)(560, 730)(561, 624)(562, 704)(563, 597)(564, 712)(566, 723)(567, 739)(568, 731)(569, 742)(570, 698)(571, 700)(572, 748)(573, 682)(575, 631)(576, 752)(577, 709)(578, 689)(579, 757)(580, 616)(582, 745)(583, 717)(584, 719)(586, 750)(587, 662)(588, 645)(589, 755)(590, 728)(591, 671)(593, 759)(594, 608)(595, 749)(596, 641)(598, 758)(599, 670)(600, 612)(601, 658)(603, 644)(604, 630)(607, 615)(611, 623)(618, 637)(619, 737)(621, 688)(626, 655)(627, 695)(633, 665)(634, 735)(640, 676)(647, 684)(648, 740)(650, 703)(651, 679)(653, 722)(657, 697)(660, 768)(661, 681)(667, 708)(673, 701)(674, 741)(678, 716)(686, 727)(691, 720)(692, 736)(693, 725)(694, 706)(699, 743)(705, 747)(710, 753)(713, 756)(714, 734)(718, 760)(724, 762)(729, 765)(732, 767)(733, 738)(744, 766)(746, 763)(751, 764)(754, 761)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 32, 32 ), ( 32^3 ) }
Outer automorphisms :: reflexible
Dual of E21.3176
Transitivity :: ET+
Graph:: simple bipartite
	v = 320 e = 384 f = 24
	degree seq :: [ 2^192, 3^128 ]

E21.3173 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 16})
Quotient :: edge
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1 * T2 * T1^-1, (T2^2 * T1^-1)^3, T2^16, T2^-1 * T1 * T2^-6 * T1^-1 * T2 * T1^-1 * T2^5 * T1^-1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 64, 98, 142, 194, 161, 115, 77, 48, 26, 13, 5)(2, 6, 14, 27, 50, 80, 119, 166, 223, 178, 129, 88, 57, 32, 16, 7)(4, 11, 22, 41, 69, 105, 149, 203, 242, 185, 135, 92, 60, 34, 17, 8)(10, 21, 40, 67, 101, 145, 197, 255, 302, 244, 187, 136, 94, 61, 35, 18)(12, 23, 43, 71, 107, 152, 206, 264, 320, 266, 209, 153, 109, 72, 44, 24)(15, 29, 53, 82, 122, 169, 226, 283, 339, 284, 227, 170, 123, 83, 54, 30)(20, 39, 31, 55, 84, 124, 171, 228, 285, 304, 246, 188, 138, 95, 62, 36)(25, 45, 73, 110, 154, 210, 267, 323, 314, 257, 199, 146, 103, 68, 42, 46)(28, 52, 33, 58, 89, 130, 179, 235, 293, 331, 275, 218, 162, 116, 78, 49)(38, 66, 59, 90, 131, 180, 236, 294, 345, 354, 306, 247, 190, 139, 96, 63)(47, 74, 111, 156, 211, 269, 325, 365, 333, 276, 219, 163, 117, 79, 51, 75)(56, 85, 125, 173, 229, 287, 341, 374, 360, 315, 258, 200, 147, 104, 70, 86)(65, 100, 93, 127, 87, 126, 174, 230, 288, 342, 356, 307, 249, 191, 140, 97)(76, 112, 157, 213, 270, 327, 367, 361, 316, 259, 201, 148, 106, 151, 108, 113)(81, 121, 102, 133, 91, 132, 181, 237, 295, 346, 371, 334, 277, 220, 164, 118)(99, 144, 137, 183, 134, 182, 238, 296, 347, 378, 381, 357, 309, 250, 192, 141)(114, 158, 214, 272, 328, 369, 383, 372, 335, 278, 221, 165, 120, 168, 155, 159)(128, 175, 231, 290, 343, 376, 384, 382, 362, 317, 260, 202, 150, 205, 172, 176)(143, 196, 189, 243, 186, 233, 177, 232, 291, 344, 377, 368, 358, 310, 251, 193)(160, 215, 273, 330, 370, 355, 380, 352, 318, 261, 204, 263, 207, 265, 212, 216)(167, 225, 198, 256, 208, 240, 184, 239, 297, 348, 379, 375, 373, 336, 279, 222)(195, 254, 248, 303, 245, 299, 241, 298, 349, 321, 363, 326, 366, 329, 311, 252)(217, 253, 312, 308, 353, 305, 351, 301, 337, 280, 224, 282, 268, 324, 271, 274)(234, 281, 338, 313, 359, 332, 364, 322, 350, 300, 262, 319, 286, 340, 289, 292)(385, 386, 388)(387, 392, 394)(389, 396, 390)(391, 399, 395)(393, 402, 404)(397, 409, 407)(398, 408, 412)(400, 415, 413)(401, 417, 405)(403, 420, 422)(406, 414, 426)(410, 431, 429)(411, 433, 435)(416, 440, 439)(418, 443, 442)(419, 437, 423)(421, 447, 449)(424, 436, 428)(425, 452, 454)(427, 430, 438)(432, 460, 458)(434, 463, 465)(441, 471, 469)(444, 475, 474)(445, 477, 466)(446, 473, 450)(448, 481, 483)(451, 456, 486)(453, 488, 490)(455, 467, 492)(457, 459, 462)(461, 498, 496)(464, 502, 504)(468, 470, 487)(472, 512, 510)(476, 518, 516)(478, 509, 511)(479, 521, 514)(480, 506, 484)(482, 525, 527)(485, 505, 501)(489, 532, 534)(491, 535, 531)(493, 515, 517)(494, 500, 539)(495, 497, 507)(499, 544, 542)(503, 549, 551)(508, 530, 556)(513, 561, 559)(519, 568, 566)(520, 570, 557)(522, 565, 567)(523, 573, 553)(524, 563, 528)(526, 577, 579)(529, 547, 582)(533, 586, 588)(536, 584, 591)(537, 592, 564)(538, 552, 548)(540, 554, 596)(541, 543, 546)(545, 601, 599)(550, 606, 608)(555, 589, 585)(558, 560, 583)(562, 618, 616)(569, 625, 623)(571, 615, 617)(572, 629, 621)(574, 613, 627)(575, 632, 619)(576, 610, 580)(578, 636, 637)(581, 609, 605)(587, 645, 646)(590, 647, 644)(593, 622, 624)(594, 604, 652)(595, 649, 642)(597, 602, 655)(598, 600, 611)(603, 620, 640)(607, 664, 665)(612, 643, 670)(614, 641, 673)(626, 684, 682)(628, 685, 674)(630, 681, 683)(631, 689, 671)(633, 679, 687)(634, 692, 667)(635, 677, 638)(639, 662, 697)(648, 701, 705)(650, 706, 680)(651, 666, 663)(653, 699, 710)(654, 708, 661)(656, 668, 713)(657, 658, 659)(660, 716, 678)(669, 703, 702)(672, 724, 700)(675, 676, 698)(686, 722, 721)(688, 736, 732)(690, 727, 735)(691, 739, 730)(693, 725, 737)(694, 714, 715)(695, 723, 696)(704, 733, 734)(707, 720, 728)(709, 747, 746)(711, 718, 752)(712, 750, 744)(717, 731, 748)(719, 729, 743)(726, 745, 759)(738, 756, 760)(740, 763, 764)(741, 753, 758)(742, 755, 754)(749, 766, 762)(751, 761, 757)(765, 768, 767)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4^3 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E21.3177
Transitivity :: ET+
Graph:: simple bipartite
	v = 152 e = 384 f = 192
	degree seq :: [ 3^128, 16^24 ]

E21.3174 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 16})
Quotient :: edge
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-2 * T2 * T1^-1 * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^16, T1^-4 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-4 * T2, T2 * T1^4 * T2 * T1^-5 * T2 * T1^4 * T2 * T1^-7 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 69)(52, 67)(54, 86)(55, 89)(57, 75)(58, 83)(60, 93)(62, 95)(63, 98)(66, 99)(68, 103)(72, 107)(73, 110)(76, 101)(78, 113)(79, 116)(82, 117)(84, 121)(85, 124)(87, 126)(88, 129)(90, 130)(91, 134)(92, 132)(94, 137)(96, 139)(97, 142)(100, 143)(102, 147)(104, 150)(105, 153)(106, 145)(108, 155)(109, 158)(111, 159)(112, 163)(114, 165)(115, 168)(118, 169)(119, 152)(120, 173)(122, 162)(123, 161)(125, 154)(127, 178)(128, 181)(131, 160)(133, 171)(135, 186)(136, 174)(138, 189)(140, 191)(141, 192)(144, 193)(146, 197)(148, 200)(149, 195)(151, 203)(156, 207)(157, 210)(164, 202)(166, 215)(167, 218)(170, 219)(172, 223)(175, 226)(176, 229)(177, 231)(179, 233)(180, 235)(182, 236)(183, 239)(184, 242)(185, 238)(187, 245)(188, 240)(190, 248)(194, 250)(196, 254)(198, 257)(199, 252)(201, 260)(204, 263)(205, 266)(206, 259)(208, 268)(209, 271)(211, 272)(212, 275)(213, 278)(214, 280)(216, 282)(217, 283)(220, 284)(221, 265)(222, 288)(224, 277)(225, 291)(227, 279)(228, 274)(230, 276)(232, 267)(234, 297)(237, 273)(241, 286)(243, 303)(244, 289)(246, 306)(247, 292)(249, 251)(253, 311)(255, 314)(256, 309)(258, 317)(261, 320)(262, 316)(264, 323)(269, 327)(270, 328)(281, 322)(285, 335)(287, 338)(290, 341)(293, 343)(294, 344)(295, 346)(296, 336)(298, 348)(299, 350)(300, 310)(301, 347)(302, 349)(304, 353)(305, 351)(307, 312)(308, 313)(315, 358)(318, 361)(319, 357)(321, 364)(324, 367)(325, 368)(326, 363)(329, 369)(330, 371)(331, 373)(332, 374)(333, 376)(334, 370)(337, 377)(339, 365)(340, 356)(342, 375)(345, 372)(352, 378)(354, 359)(355, 360)(362, 383)(366, 382)(379, 384)(380, 381)(385, 386, 389, 395, 405, 421, 447, 481, 525, 524, 480, 446, 420, 404, 394, 388)(387, 391, 399, 411, 431, 463, 499, 551, 601, 563, 511, 471, 438, 415, 401, 392)(390, 397, 409, 427, 457, 493, 541, 593, 654, 600, 550, 498, 462, 430, 410, 398)(393, 402, 416, 439, 472, 512, 564, 618, 677, 611, 559, 506, 468, 435, 413, 400)(396, 407, 425, 453, 489, 536, 589, 649, 709, 653, 592, 540, 492, 456, 426, 408)(403, 418, 442, 475, 517, 568, 625, 685, 715, 660, 596, 545, 495, 458, 441, 417)(406, 423, 451, 437, 469, 507, 560, 612, 678, 708, 648, 588, 535, 488, 452, 424)(412, 433, 454, 429, 460, 487, 533, 581, 640, 695, 676, 609, 558, 504, 467, 434)(414, 436, 455, 490, 531, 583, 638, 697, 684, 624, 567, 516, 474, 440, 459, 428)(419, 444, 476, 519, 569, 627, 686, 726, 674, 608, 556, 503, 466, 432, 465, 443)(422, 449, 485, 461, 496, 546, 597, 661, 716, 749, 705, 645, 585, 532, 486, 450)(445, 478, 520, 571, 628, 688, 736, 756, 714, 658, 595, 542, 515, 473, 514, 477)(448, 483, 529, 491, 538, 510, 561, 614, 679, 729, 746, 702, 642, 582, 530, 484)(464, 501, 537, 505, 547, 497, 548, 587, 646, 701, 744, 724, 673, 606, 555, 502)(470, 509, 539, 590, 644, 703, 742, 735, 683, 622, 566, 513, 544, 494, 543, 508)(479, 522, 572, 630, 689, 738, 763, 723, 671, 605, 554, 500, 553, 518, 557, 521)(482, 527, 579, 534, 586, 549, 598, 663, 717, 759, 765, 743, 699, 639, 580, 528)(523, 574, 631, 691, 739, 745, 766, 751, 713, 655, 621, 565, 620, 570, 623, 573)(526, 577, 636, 584, 643, 591, 651, 617, 680, 731, 761, 737, 740, 696, 637, 578)(552, 603, 650, 607, 662, 610, 664, 599, 665, 707, 750, 767, 762, 721, 670, 604)(562, 616, 652, 710, 748, 768, 764, 733, 682, 619, 657, 594, 656, 613, 659, 615)(575, 633, 692, 698, 741, 704, 747, 711, 669, 602, 668, 626, 672, 629, 675, 632)(576, 634, 693, 641, 700, 647, 706, 666, 718, 681, 732, 687, 734, 690, 694, 635)(667, 719, 752, 722, 758, 725, 760, 727, 754, 712, 753, 728, 755, 730, 757, 720)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 6 ), ( 6^16 ) }
Outer automorphisms :: reflexible
Dual of E21.3175
Transitivity :: ET+
Graph:: simple bipartite
	v = 216 e = 384 f = 128
	degree seq :: [ 2^192, 16^24 ]

E21.3175 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 16})
Quotient :: loop
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T1 * T2^-1 * T1 * T2)^3, (T2^-1 * T1)^16 ]
Map::
	R = (1, 385, 3, 387, 4, 388)(2, 386, 5, 389, 6, 390)(7, 391, 11, 395, 12, 396)(8, 392, 13, 397, 14, 398)(9, 393, 15, 399, 16, 400)(10, 394, 17, 401, 18, 402)(19, 403, 27, 411, 28, 412)(20, 404, 29, 413, 30, 414)(21, 405, 31, 415, 32, 416)(22, 406, 33, 417, 34, 418)(23, 407, 35, 419, 36, 420)(24, 408, 37, 421, 38, 422)(25, 409, 39, 423, 40, 424)(26, 410, 41, 425, 42, 426)(43, 427, 55, 439, 56, 440)(44, 428, 47, 431, 57, 441)(45, 429, 58, 442, 59, 443)(46, 430, 60, 444, 61, 445)(48, 432, 62, 446, 63, 447)(49, 433, 64, 448, 65, 449)(50, 434, 53, 437, 66, 450)(51, 435, 67, 451, 68, 452)(52, 436, 69, 453, 70, 454)(54, 438, 71, 455, 72, 456)(73, 457, 91, 475, 92, 476)(74, 458, 76, 460, 93, 477)(75, 459, 94, 478, 95, 479)(77, 461, 96, 480, 97, 481)(78, 462, 98, 482, 99, 483)(79, 463, 80, 464, 100, 484)(81, 465, 101, 485, 102, 486)(82, 466, 103, 487, 104, 488)(83, 467, 85, 469, 105, 489)(84, 468, 106, 490, 107, 491)(86, 470, 108, 492, 109, 493)(87, 471, 110, 494, 111, 495)(88, 472, 89, 473, 112, 496)(90, 474, 113, 497, 114, 498)(115, 499, 211, 595, 384, 768)(116, 500, 118, 502, 215, 599)(117, 501, 213, 597, 304, 688)(119, 503, 123, 507, 224, 608)(120, 504, 218, 602, 221, 605)(121, 505, 220, 604, 367, 751)(122, 506, 222, 606, 297, 681)(124, 508, 226, 610, 187, 571)(125, 509, 228, 612, 229, 613)(126, 510, 231, 615, 232, 616)(127, 511, 233, 617, 234, 618)(128, 512, 230, 614, 235, 619)(129, 513, 237, 621, 238, 622)(130, 514, 239, 623, 240, 624)(131, 515, 241, 625, 242, 626)(132, 516, 243, 627, 244, 628)(133, 517, 245, 629, 246, 630)(134, 518, 248, 632, 249, 633)(135, 519, 251, 635, 252, 636)(136, 520, 253, 637, 255, 639)(137, 521, 236, 620, 257, 641)(138, 522, 259, 643, 260, 644)(139, 523, 261, 645, 262, 646)(140, 524, 263, 647, 264, 648)(141, 525, 265, 649, 266, 650)(142, 526, 267, 651, 268, 652)(143, 527, 269, 653, 270, 654)(144, 528, 271, 655, 272, 656)(145, 529, 273, 657, 274, 658)(146, 530, 275, 659, 276, 660)(147, 531, 277, 661, 279, 663)(148, 532, 247, 631, 281, 665)(149, 533, 282, 666, 283, 667)(150, 534, 284, 668, 204, 588)(151, 535, 250, 634, 287, 671)(152, 536, 289, 673, 290, 674)(153, 537, 292, 676, 294, 678)(154, 538, 295, 679, 296, 680)(155, 539, 258, 642, 298, 682)(156, 540, 300, 684, 301, 685)(157, 541, 302, 686, 303, 687)(158, 542, 288, 672, 305, 689)(159, 543, 306, 690, 307, 691)(160, 544, 308, 692, 309, 693)(161, 545, 310, 694, 311, 695)(162, 546, 312, 696, 313, 697)(163, 547, 314, 698, 315, 699)(164, 548, 299, 683, 316, 700)(165, 549, 317, 701, 318, 702)(166, 550, 319, 703, 320, 704)(167, 551, 321, 705, 322, 706)(168, 552, 323, 707, 324, 708)(169, 553, 293, 677, 327, 711)(170, 554, 329, 713, 330, 714)(171, 555, 326, 710, 332, 716)(172, 556, 334, 718, 335, 719)(173, 557, 278, 662, 337, 721)(174, 558, 291, 675, 286, 670)(175, 559, 340, 724, 341, 725)(176, 560, 336, 720, 343, 727)(177, 561, 345, 729, 346, 730)(178, 562, 210, 594, 347, 731)(179, 563, 328, 712, 338, 722)(180, 564, 348, 732, 349, 733)(181, 565, 350, 734, 351, 735)(182, 566, 352, 736, 353, 737)(183, 567, 354, 738, 355, 739)(184, 568, 333, 717, 356, 740)(185, 569, 357, 741, 358, 742)(186, 570, 359, 743, 360, 744)(188, 572, 339, 723, 223, 607)(189, 573, 212, 596, 361, 745)(190, 574, 362, 746, 363, 747)(191, 575, 364, 748, 227, 611)(192, 576, 365, 749, 366, 750)(193, 577, 344, 728, 219, 603)(194, 578, 368, 752, 369, 753)(195, 579, 217, 601, 370, 754)(196, 580, 285, 669, 371, 755)(197, 581, 325, 709, 256, 640)(198, 582, 372, 756, 373, 757)(199, 583, 374, 758, 375, 759)(200, 584, 254, 638, 206, 590)(201, 585, 331, 715, 280, 664)(202, 586, 376, 760, 377, 761)(203, 587, 216, 600, 378, 762)(205, 589, 225, 609, 379, 763)(207, 591, 380, 764, 381, 765)(208, 592, 342, 726, 214, 598)(209, 593, 382, 766, 383, 767)
	L = (1, 386)(2, 385)(3, 391)(4, 392)(5, 393)(6, 394)(7, 387)(8, 388)(9, 389)(10, 390)(11, 403)(12, 404)(13, 405)(14, 406)(15, 407)(16, 408)(17, 409)(18, 410)(19, 395)(20, 396)(21, 397)(22, 398)(23, 399)(24, 400)(25, 401)(26, 402)(27, 427)(28, 428)(29, 421)(30, 429)(31, 430)(32, 424)(33, 431)(34, 432)(35, 433)(36, 434)(37, 413)(38, 435)(39, 436)(40, 416)(41, 437)(42, 438)(43, 411)(44, 412)(45, 414)(46, 415)(47, 417)(48, 418)(49, 419)(50, 420)(51, 422)(52, 423)(53, 425)(54, 426)(55, 457)(56, 458)(57, 459)(58, 460)(59, 461)(60, 462)(61, 463)(62, 464)(63, 465)(64, 466)(65, 467)(66, 468)(67, 469)(68, 470)(69, 471)(70, 472)(71, 473)(72, 474)(73, 439)(74, 440)(75, 441)(76, 442)(77, 443)(78, 444)(79, 445)(80, 446)(81, 447)(82, 448)(83, 449)(84, 450)(85, 451)(86, 452)(87, 453)(88, 454)(89, 455)(90, 456)(91, 499)(92, 500)(93, 501)(94, 502)(95, 503)(96, 492)(97, 504)(98, 505)(99, 495)(100, 506)(101, 507)(102, 508)(103, 512)(104, 588)(105, 532)(106, 534)(107, 590)(108, 480)(109, 581)(110, 521)(111, 483)(112, 558)(113, 584)(114, 594)(115, 475)(116, 476)(117, 477)(118, 478)(119, 479)(120, 481)(121, 482)(122, 484)(123, 485)(124, 486)(125, 595)(126, 614)(127, 604)(128, 487)(129, 620)(130, 612)(131, 617)(132, 615)(133, 621)(134, 631)(135, 634)(136, 597)(137, 494)(138, 642)(139, 623)(140, 632)(141, 625)(142, 635)(143, 627)(144, 637)(145, 629)(146, 643)(147, 606)(148, 489)(149, 655)(150, 490)(151, 599)(152, 672)(153, 675)(154, 647)(155, 668)(156, 683)(157, 645)(158, 661)(159, 666)(160, 649)(161, 651)(162, 673)(163, 653)(164, 676)(165, 679)(166, 657)(167, 659)(168, 684)(169, 709)(170, 712)(171, 715)(172, 717)(173, 602)(174, 496)(175, 723)(176, 726)(177, 728)(178, 686)(179, 677)(180, 694)(181, 690)(182, 713)(183, 692)(184, 710)(185, 696)(186, 718)(187, 698)(188, 662)(189, 705)(190, 701)(191, 724)(192, 703)(193, 720)(194, 707)(195, 729)(196, 610)(197, 493)(198, 745)(199, 748)(200, 497)(201, 608)(202, 754)(203, 731)(204, 488)(205, 733)(206, 491)(207, 736)(208, 638)(209, 744)(210, 498)(211, 509)(212, 669)(213, 520)(214, 734)(215, 535)(216, 732)(217, 756)(218, 557)(219, 758)(220, 511)(221, 738)(222, 531)(223, 741)(224, 585)(225, 743)(226, 580)(227, 760)(228, 514)(229, 636)(230, 510)(231, 516)(232, 644)(233, 515)(234, 622)(235, 633)(236, 513)(237, 517)(238, 618)(239, 523)(240, 667)(241, 525)(242, 674)(243, 527)(244, 680)(245, 529)(246, 685)(247, 518)(248, 524)(249, 619)(250, 519)(251, 526)(252, 613)(253, 528)(254, 592)(255, 768)(256, 749)(257, 678)(258, 522)(259, 530)(260, 616)(261, 541)(262, 695)(263, 538)(264, 714)(265, 544)(266, 658)(267, 545)(268, 719)(269, 547)(270, 706)(271, 533)(272, 725)(273, 550)(274, 650)(275, 551)(276, 730)(277, 542)(278, 572)(279, 751)(280, 746)(281, 711)(282, 543)(283, 624)(284, 539)(285, 596)(286, 762)(287, 716)(288, 536)(289, 546)(290, 626)(291, 537)(292, 548)(293, 563)(294, 641)(295, 549)(296, 628)(297, 755)(298, 727)(299, 540)(300, 552)(301, 630)(302, 562)(303, 735)(304, 721)(305, 757)(306, 565)(307, 759)(308, 567)(309, 742)(310, 564)(311, 646)(312, 569)(313, 761)(314, 571)(315, 747)(316, 763)(317, 574)(318, 765)(319, 576)(320, 753)(321, 573)(322, 654)(323, 578)(324, 767)(325, 553)(326, 568)(327, 665)(328, 554)(329, 566)(330, 648)(331, 555)(332, 671)(333, 556)(334, 570)(335, 652)(336, 577)(337, 688)(338, 752)(339, 559)(340, 575)(341, 656)(342, 560)(343, 682)(344, 561)(345, 579)(346, 660)(347, 587)(348, 600)(349, 589)(350, 598)(351, 687)(352, 591)(353, 766)(354, 605)(355, 750)(356, 764)(357, 607)(358, 693)(359, 609)(360, 593)(361, 582)(362, 664)(363, 699)(364, 583)(365, 640)(366, 739)(367, 663)(368, 722)(369, 704)(370, 586)(371, 681)(372, 601)(373, 689)(374, 603)(375, 691)(376, 611)(377, 697)(378, 670)(379, 700)(380, 740)(381, 702)(382, 737)(383, 708)(384, 639)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.3174
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 128 e = 384 f = 216
	degree seq :: [ 6^128 ]

E21.3176 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 16})
Quotient :: loop
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1 * T2 * T1^-1, (T2^2 * T1^-1)^3, T2^16, T2^-1 * T1 * T2^-6 * T1^-1 * T2 * T1^-1 * T2^5 * T1^-1 * T2^-1 ]
Map::
	R = (1, 385, 3, 387, 9, 393, 19, 403, 37, 421, 64, 448, 98, 482, 142, 526, 194, 578, 161, 545, 115, 499, 77, 461, 48, 432, 26, 410, 13, 397, 5, 389)(2, 386, 6, 390, 14, 398, 27, 411, 50, 434, 80, 464, 119, 503, 166, 550, 223, 607, 178, 562, 129, 513, 88, 472, 57, 441, 32, 416, 16, 400, 7, 391)(4, 388, 11, 395, 22, 406, 41, 425, 69, 453, 105, 489, 149, 533, 203, 587, 242, 626, 185, 569, 135, 519, 92, 476, 60, 444, 34, 418, 17, 401, 8, 392)(10, 394, 21, 405, 40, 424, 67, 451, 101, 485, 145, 529, 197, 581, 255, 639, 302, 686, 244, 628, 187, 571, 136, 520, 94, 478, 61, 445, 35, 419, 18, 402)(12, 396, 23, 407, 43, 427, 71, 455, 107, 491, 152, 536, 206, 590, 264, 648, 320, 704, 266, 650, 209, 593, 153, 537, 109, 493, 72, 456, 44, 428, 24, 408)(15, 399, 29, 413, 53, 437, 82, 466, 122, 506, 169, 553, 226, 610, 283, 667, 339, 723, 284, 668, 227, 611, 170, 554, 123, 507, 83, 467, 54, 438, 30, 414)(20, 404, 39, 423, 31, 415, 55, 439, 84, 468, 124, 508, 171, 555, 228, 612, 285, 669, 304, 688, 246, 630, 188, 572, 138, 522, 95, 479, 62, 446, 36, 420)(25, 409, 45, 429, 73, 457, 110, 494, 154, 538, 210, 594, 267, 651, 323, 707, 314, 698, 257, 641, 199, 583, 146, 530, 103, 487, 68, 452, 42, 426, 46, 430)(28, 412, 52, 436, 33, 417, 58, 442, 89, 473, 130, 514, 179, 563, 235, 619, 293, 677, 331, 715, 275, 659, 218, 602, 162, 546, 116, 500, 78, 462, 49, 433)(38, 422, 66, 450, 59, 443, 90, 474, 131, 515, 180, 564, 236, 620, 294, 678, 345, 729, 354, 738, 306, 690, 247, 631, 190, 574, 139, 523, 96, 480, 63, 447)(47, 431, 74, 458, 111, 495, 156, 540, 211, 595, 269, 653, 325, 709, 365, 749, 333, 717, 276, 660, 219, 603, 163, 547, 117, 501, 79, 463, 51, 435, 75, 459)(56, 440, 85, 469, 125, 509, 173, 557, 229, 613, 287, 671, 341, 725, 374, 758, 360, 744, 315, 699, 258, 642, 200, 584, 147, 531, 104, 488, 70, 454, 86, 470)(65, 449, 100, 484, 93, 477, 127, 511, 87, 471, 126, 510, 174, 558, 230, 614, 288, 672, 342, 726, 356, 740, 307, 691, 249, 633, 191, 575, 140, 524, 97, 481)(76, 460, 112, 496, 157, 541, 213, 597, 270, 654, 327, 711, 367, 751, 361, 745, 316, 700, 259, 643, 201, 585, 148, 532, 106, 490, 151, 535, 108, 492, 113, 497)(81, 465, 121, 505, 102, 486, 133, 517, 91, 475, 132, 516, 181, 565, 237, 621, 295, 679, 346, 730, 371, 755, 334, 718, 277, 661, 220, 604, 164, 548, 118, 502)(99, 483, 144, 528, 137, 521, 183, 567, 134, 518, 182, 566, 238, 622, 296, 680, 347, 731, 378, 762, 381, 765, 357, 741, 309, 693, 250, 634, 192, 576, 141, 525)(114, 498, 158, 542, 214, 598, 272, 656, 328, 712, 369, 753, 383, 767, 372, 756, 335, 719, 278, 662, 221, 605, 165, 549, 120, 504, 168, 552, 155, 539, 159, 543)(128, 512, 175, 559, 231, 615, 290, 674, 343, 727, 376, 760, 384, 768, 382, 766, 362, 746, 317, 701, 260, 644, 202, 586, 150, 534, 205, 589, 172, 556, 176, 560)(143, 527, 196, 580, 189, 573, 243, 627, 186, 570, 233, 617, 177, 561, 232, 616, 291, 675, 344, 728, 377, 761, 368, 752, 358, 742, 310, 694, 251, 635, 193, 577)(160, 544, 215, 599, 273, 657, 330, 714, 370, 754, 355, 739, 380, 764, 352, 736, 318, 702, 261, 645, 204, 588, 263, 647, 207, 591, 265, 649, 212, 596, 216, 600)(167, 551, 225, 609, 198, 582, 256, 640, 208, 592, 240, 624, 184, 568, 239, 623, 297, 681, 348, 732, 379, 763, 375, 759, 373, 757, 336, 720, 279, 663, 222, 606)(195, 579, 254, 638, 248, 632, 303, 687, 245, 629, 299, 683, 241, 625, 298, 682, 349, 733, 321, 705, 363, 747, 326, 710, 366, 750, 329, 713, 311, 695, 252, 636)(217, 601, 253, 637, 312, 696, 308, 692, 353, 737, 305, 689, 351, 735, 301, 685, 337, 721, 280, 664, 224, 608, 282, 666, 268, 652, 324, 708, 271, 655, 274, 658)(234, 618, 281, 665, 338, 722, 313, 697, 359, 743, 332, 716, 364, 748, 322, 706, 350, 734, 300, 684, 262, 646, 319, 703, 286, 670, 340, 724, 289, 673, 292, 676)
	L = (1, 386)(2, 388)(3, 392)(4, 385)(5, 396)(6, 389)(7, 399)(8, 394)(9, 402)(10, 387)(11, 391)(12, 390)(13, 409)(14, 408)(15, 395)(16, 415)(17, 417)(18, 404)(19, 420)(20, 393)(21, 401)(22, 414)(23, 397)(24, 412)(25, 407)(26, 431)(27, 433)(28, 398)(29, 400)(30, 426)(31, 413)(32, 440)(33, 405)(34, 443)(35, 437)(36, 422)(37, 447)(38, 403)(39, 419)(40, 436)(41, 452)(42, 406)(43, 430)(44, 424)(45, 410)(46, 438)(47, 429)(48, 460)(49, 435)(50, 463)(51, 411)(52, 428)(53, 423)(54, 427)(55, 416)(56, 439)(57, 471)(58, 418)(59, 442)(60, 475)(61, 477)(62, 473)(63, 449)(64, 481)(65, 421)(66, 446)(67, 456)(68, 454)(69, 488)(70, 425)(71, 467)(72, 486)(73, 459)(74, 432)(75, 462)(76, 458)(77, 498)(78, 457)(79, 465)(80, 502)(81, 434)(82, 445)(83, 492)(84, 470)(85, 441)(86, 487)(87, 469)(88, 512)(89, 450)(90, 444)(91, 474)(92, 518)(93, 466)(94, 509)(95, 521)(96, 506)(97, 483)(98, 525)(99, 448)(100, 480)(101, 505)(102, 451)(103, 468)(104, 490)(105, 532)(106, 453)(107, 535)(108, 455)(109, 515)(110, 500)(111, 497)(112, 461)(113, 507)(114, 496)(115, 544)(116, 539)(117, 485)(118, 504)(119, 549)(120, 464)(121, 501)(122, 484)(123, 495)(124, 530)(125, 511)(126, 472)(127, 478)(128, 510)(129, 561)(130, 479)(131, 517)(132, 476)(133, 493)(134, 516)(135, 568)(136, 570)(137, 514)(138, 565)(139, 573)(140, 563)(141, 527)(142, 577)(143, 482)(144, 524)(145, 547)(146, 556)(147, 491)(148, 534)(149, 586)(150, 489)(151, 531)(152, 584)(153, 592)(154, 552)(155, 494)(156, 554)(157, 543)(158, 499)(159, 546)(160, 542)(161, 601)(162, 541)(163, 582)(164, 538)(165, 551)(166, 606)(167, 503)(168, 548)(169, 523)(170, 596)(171, 589)(172, 508)(173, 520)(174, 560)(175, 513)(176, 583)(177, 559)(178, 618)(179, 528)(180, 537)(181, 567)(182, 519)(183, 522)(184, 566)(185, 625)(186, 557)(187, 615)(188, 629)(189, 553)(190, 613)(191, 632)(192, 610)(193, 579)(194, 636)(195, 526)(196, 576)(197, 609)(198, 529)(199, 558)(200, 591)(201, 555)(202, 588)(203, 645)(204, 533)(205, 585)(206, 647)(207, 536)(208, 564)(209, 622)(210, 604)(211, 649)(212, 540)(213, 602)(214, 600)(215, 545)(216, 611)(217, 599)(218, 655)(219, 620)(220, 652)(221, 581)(222, 608)(223, 664)(224, 550)(225, 605)(226, 580)(227, 598)(228, 643)(229, 627)(230, 641)(231, 617)(232, 562)(233, 571)(234, 616)(235, 575)(236, 640)(237, 572)(238, 624)(239, 569)(240, 593)(241, 623)(242, 684)(243, 574)(244, 685)(245, 621)(246, 681)(247, 689)(248, 619)(249, 679)(250, 692)(251, 677)(252, 637)(253, 578)(254, 635)(255, 662)(256, 603)(257, 673)(258, 595)(259, 670)(260, 590)(261, 646)(262, 587)(263, 644)(264, 701)(265, 642)(266, 706)(267, 666)(268, 594)(269, 699)(270, 708)(271, 597)(272, 668)(273, 658)(274, 659)(275, 657)(276, 716)(277, 654)(278, 697)(279, 651)(280, 665)(281, 607)(282, 663)(283, 634)(284, 713)(285, 703)(286, 612)(287, 631)(288, 724)(289, 614)(290, 628)(291, 676)(292, 698)(293, 638)(294, 660)(295, 687)(296, 650)(297, 683)(298, 626)(299, 630)(300, 682)(301, 674)(302, 722)(303, 633)(304, 736)(305, 671)(306, 727)(307, 739)(308, 667)(309, 725)(310, 714)(311, 723)(312, 695)(313, 639)(314, 675)(315, 710)(316, 672)(317, 705)(318, 669)(319, 702)(320, 733)(321, 648)(322, 680)(323, 720)(324, 661)(325, 747)(326, 653)(327, 718)(328, 750)(329, 656)(330, 715)(331, 694)(332, 678)(333, 731)(334, 752)(335, 729)(336, 728)(337, 686)(338, 721)(339, 696)(340, 700)(341, 737)(342, 745)(343, 735)(344, 707)(345, 743)(346, 691)(347, 748)(348, 688)(349, 734)(350, 704)(351, 690)(352, 732)(353, 693)(354, 756)(355, 730)(356, 763)(357, 753)(358, 755)(359, 719)(360, 712)(361, 759)(362, 709)(363, 746)(364, 717)(365, 766)(366, 744)(367, 761)(368, 711)(369, 758)(370, 742)(371, 754)(372, 760)(373, 751)(374, 741)(375, 726)(376, 738)(377, 757)(378, 749)(379, 764)(380, 740)(381, 768)(382, 762)(383, 765)(384, 767)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3172
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 384 f = 320
	degree seq :: [ 32^24 ]

E21.3177 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 16})
Quotient :: loop
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, (T1^-2 * T2 * T1^-1 * T2)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1^16, T1^-4 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-4 * T2, T2 * T1^4 * T2 * T1^-5 * T2 * T1^4 * T2 * T1^-7 ]
Map:: polyhedral non-degenerate
	R = (1, 385, 3, 387)(2, 386, 6, 390)(4, 388, 9, 393)(5, 389, 12, 396)(7, 391, 16, 400)(8, 392, 13, 397)(10, 394, 19, 403)(11, 395, 22, 406)(14, 398, 23, 407)(15, 399, 28, 412)(17, 401, 30, 414)(18, 402, 33, 417)(20, 404, 35, 419)(21, 405, 38, 422)(24, 408, 39, 423)(25, 409, 44, 428)(26, 410, 45, 429)(27, 411, 48, 432)(29, 413, 49, 433)(31, 415, 53, 437)(32, 416, 56, 440)(34, 418, 59, 443)(36, 420, 61, 445)(37, 421, 64, 448)(40, 424, 65, 449)(41, 425, 70, 454)(42, 426, 71, 455)(43, 427, 74, 458)(46, 430, 77, 461)(47, 431, 80, 464)(50, 434, 81, 465)(51, 435, 69, 453)(52, 436, 67, 451)(54, 438, 86, 470)(55, 439, 89, 473)(57, 441, 75, 459)(58, 442, 83, 467)(60, 444, 93, 477)(62, 446, 95, 479)(63, 447, 98, 482)(66, 450, 99, 483)(68, 452, 103, 487)(72, 456, 107, 491)(73, 457, 110, 494)(76, 460, 101, 485)(78, 462, 113, 497)(79, 463, 116, 500)(82, 466, 117, 501)(84, 468, 121, 505)(85, 469, 124, 508)(87, 471, 126, 510)(88, 472, 129, 513)(90, 474, 130, 514)(91, 475, 134, 518)(92, 476, 132, 516)(94, 478, 137, 521)(96, 480, 139, 523)(97, 481, 142, 526)(100, 484, 143, 527)(102, 486, 147, 531)(104, 488, 150, 534)(105, 489, 153, 537)(106, 490, 145, 529)(108, 492, 155, 539)(109, 493, 158, 542)(111, 495, 159, 543)(112, 496, 163, 547)(114, 498, 165, 549)(115, 499, 168, 552)(118, 502, 169, 553)(119, 503, 152, 536)(120, 504, 173, 557)(122, 506, 162, 546)(123, 507, 161, 545)(125, 509, 154, 538)(127, 511, 178, 562)(128, 512, 181, 565)(131, 515, 160, 544)(133, 517, 171, 555)(135, 519, 186, 570)(136, 520, 174, 558)(138, 522, 189, 573)(140, 524, 191, 575)(141, 525, 192, 576)(144, 528, 193, 577)(146, 530, 197, 581)(148, 532, 200, 584)(149, 533, 195, 579)(151, 535, 203, 587)(156, 540, 207, 591)(157, 541, 210, 594)(164, 548, 202, 586)(166, 550, 215, 599)(167, 551, 218, 602)(170, 554, 219, 603)(172, 556, 223, 607)(175, 559, 226, 610)(176, 560, 229, 613)(177, 561, 231, 615)(179, 563, 233, 617)(180, 564, 235, 619)(182, 566, 236, 620)(183, 567, 239, 623)(184, 568, 242, 626)(185, 569, 238, 622)(187, 571, 245, 629)(188, 572, 240, 624)(190, 574, 248, 632)(194, 578, 250, 634)(196, 580, 254, 638)(198, 582, 257, 641)(199, 583, 252, 636)(201, 585, 260, 644)(204, 588, 263, 647)(205, 589, 266, 650)(206, 590, 259, 643)(208, 592, 268, 652)(209, 593, 271, 655)(211, 595, 272, 656)(212, 596, 275, 659)(213, 597, 278, 662)(214, 598, 280, 664)(216, 600, 282, 666)(217, 601, 283, 667)(220, 604, 284, 668)(221, 605, 265, 649)(222, 606, 288, 672)(224, 608, 277, 661)(225, 609, 291, 675)(227, 611, 279, 663)(228, 612, 274, 658)(230, 614, 276, 660)(232, 616, 267, 651)(234, 618, 297, 681)(237, 621, 273, 657)(241, 625, 286, 670)(243, 627, 303, 687)(244, 628, 289, 673)(246, 630, 306, 690)(247, 631, 292, 676)(249, 633, 251, 635)(253, 637, 311, 695)(255, 639, 314, 698)(256, 640, 309, 693)(258, 642, 317, 701)(261, 645, 320, 704)(262, 646, 316, 700)(264, 648, 323, 707)(269, 653, 327, 711)(270, 654, 328, 712)(281, 665, 322, 706)(285, 669, 335, 719)(287, 671, 338, 722)(290, 674, 341, 725)(293, 677, 343, 727)(294, 678, 344, 728)(295, 679, 346, 730)(296, 680, 336, 720)(298, 682, 348, 732)(299, 683, 350, 734)(300, 684, 310, 694)(301, 685, 347, 731)(302, 686, 349, 733)(304, 688, 353, 737)(305, 689, 351, 735)(307, 691, 312, 696)(308, 692, 313, 697)(315, 699, 358, 742)(318, 702, 361, 745)(319, 703, 357, 741)(321, 705, 364, 748)(324, 708, 367, 751)(325, 709, 368, 752)(326, 710, 363, 747)(329, 713, 369, 753)(330, 714, 371, 755)(331, 715, 373, 757)(332, 716, 374, 758)(333, 717, 376, 760)(334, 718, 370, 754)(337, 721, 377, 761)(339, 723, 365, 749)(340, 724, 356, 740)(342, 726, 375, 759)(345, 729, 372, 756)(352, 736, 378, 762)(354, 738, 359, 743)(355, 739, 360, 744)(362, 746, 383, 767)(366, 750, 382, 766)(379, 763, 384, 768)(380, 764, 381, 765)
	L = (1, 386)(2, 389)(3, 391)(4, 385)(5, 395)(6, 397)(7, 399)(8, 387)(9, 402)(10, 388)(11, 405)(12, 407)(13, 409)(14, 390)(15, 411)(16, 393)(17, 392)(18, 416)(19, 418)(20, 394)(21, 421)(22, 423)(23, 425)(24, 396)(25, 427)(26, 398)(27, 431)(28, 433)(29, 400)(30, 436)(31, 401)(32, 439)(33, 403)(34, 442)(35, 444)(36, 404)(37, 447)(38, 449)(39, 451)(40, 406)(41, 453)(42, 408)(43, 457)(44, 414)(45, 460)(46, 410)(47, 463)(48, 465)(49, 454)(50, 412)(51, 413)(52, 455)(53, 469)(54, 415)(55, 472)(56, 459)(57, 417)(58, 475)(59, 419)(60, 476)(61, 478)(62, 420)(63, 481)(64, 483)(65, 485)(66, 422)(67, 437)(68, 424)(69, 489)(70, 429)(71, 490)(72, 426)(73, 493)(74, 441)(75, 428)(76, 487)(77, 496)(78, 430)(79, 499)(80, 501)(81, 443)(82, 432)(83, 434)(84, 435)(85, 507)(86, 509)(87, 438)(88, 512)(89, 514)(90, 440)(91, 517)(92, 519)(93, 445)(94, 520)(95, 522)(96, 446)(97, 525)(98, 527)(99, 529)(100, 448)(101, 461)(102, 450)(103, 533)(104, 452)(105, 536)(106, 531)(107, 538)(108, 456)(109, 541)(110, 543)(111, 458)(112, 546)(113, 548)(114, 462)(115, 551)(116, 553)(117, 537)(118, 464)(119, 466)(120, 467)(121, 547)(122, 468)(123, 560)(124, 470)(125, 539)(126, 561)(127, 471)(128, 564)(129, 544)(130, 477)(131, 473)(132, 474)(133, 568)(134, 557)(135, 569)(136, 571)(137, 479)(138, 572)(139, 574)(140, 480)(141, 524)(142, 577)(143, 579)(144, 482)(145, 491)(146, 484)(147, 583)(148, 486)(149, 581)(150, 586)(151, 488)(152, 589)(153, 505)(154, 510)(155, 590)(156, 492)(157, 593)(158, 515)(159, 508)(160, 494)(161, 495)(162, 597)(163, 497)(164, 587)(165, 598)(166, 498)(167, 601)(168, 603)(169, 518)(170, 500)(171, 502)(172, 503)(173, 521)(174, 504)(175, 506)(176, 612)(177, 614)(178, 616)(179, 511)(180, 618)(181, 620)(182, 513)(183, 516)(184, 625)(185, 627)(186, 623)(187, 628)(188, 630)(189, 523)(190, 631)(191, 633)(192, 634)(193, 636)(194, 526)(195, 534)(196, 528)(197, 640)(198, 530)(199, 638)(200, 643)(201, 532)(202, 549)(203, 646)(204, 535)(205, 649)(206, 644)(207, 651)(208, 540)(209, 654)(210, 656)(211, 542)(212, 545)(213, 661)(214, 663)(215, 665)(216, 550)(217, 563)(218, 668)(219, 650)(220, 552)(221, 554)(222, 555)(223, 662)(224, 556)(225, 558)(226, 664)(227, 559)(228, 678)(229, 659)(230, 679)(231, 562)(232, 652)(233, 680)(234, 677)(235, 657)(236, 570)(237, 565)(238, 566)(239, 573)(240, 567)(241, 685)(242, 672)(243, 686)(244, 688)(245, 675)(246, 689)(247, 691)(248, 575)(249, 692)(250, 693)(251, 576)(252, 584)(253, 578)(254, 697)(255, 580)(256, 695)(257, 700)(258, 582)(259, 591)(260, 703)(261, 585)(262, 701)(263, 706)(264, 588)(265, 709)(266, 607)(267, 617)(268, 710)(269, 592)(270, 600)(271, 621)(272, 613)(273, 594)(274, 595)(275, 615)(276, 596)(277, 716)(278, 610)(279, 717)(280, 599)(281, 707)(282, 718)(283, 719)(284, 626)(285, 602)(286, 604)(287, 605)(288, 629)(289, 606)(290, 608)(291, 632)(292, 609)(293, 611)(294, 708)(295, 729)(296, 731)(297, 732)(298, 619)(299, 622)(300, 624)(301, 715)(302, 726)(303, 734)(304, 736)(305, 738)(306, 694)(307, 739)(308, 698)(309, 641)(310, 635)(311, 676)(312, 637)(313, 684)(314, 741)(315, 639)(316, 647)(317, 744)(318, 642)(319, 742)(320, 747)(321, 645)(322, 666)(323, 750)(324, 648)(325, 653)(326, 748)(327, 669)(328, 753)(329, 655)(330, 658)(331, 660)(332, 749)(333, 759)(334, 681)(335, 752)(336, 667)(337, 670)(338, 758)(339, 671)(340, 673)(341, 760)(342, 674)(343, 754)(344, 755)(345, 746)(346, 757)(347, 761)(348, 687)(349, 682)(350, 690)(351, 683)(352, 756)(353, 740)(354, 763)(355, 745)(356, 696)(357, 704)(358, 735)(359, 699)(360, 724)(361, 766)(362, 702)(363, 711)(364, 768)(365, 705)(366, 767)(367, 713)(368, 722)(369, 728)(370, 712)(371, 730)(372, 714)(373, 720)(374, 725)(375, 765)(376, 727)(377, 737)(378, 721)(379, 723)(380, 733)(381, 743)(382, 751)(383, 762)(384, 764)
	local type(s) :: { ( 3, 16, 3, 16 ) }
Outer automorphisms :: reflexible
Dual of E21.3173
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 192 e = 384 f = 152
	degree seq :: [ 4^192 ]

E21.3178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^3, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 8, 392)(5, 389, 9, 393)(6, 390, 10, 394)(11, 395, 19, 403)(12, 396, 20, 404)(13, 397, 21, 405)(14, 398, 22, 406)(15, 399, 23, 407)(16, 400, 24, 408)(17, 401, 25, 409)(18, 402, 26, 410)(27, 411, 43, 427)(28, 412, 44, 428)(29, 413, 37, 421)(30, 414, 45, 429)(31, 415, 46, 430)(32, 416, 40, 424)(33, 417, 47, 431)(34, 418, 48, 432)(35, 419, 49, 433)(36, 420, 50, 434)(38, 422, 51, 435)(39, 423, 52, 436)(41, 425, 53, 437)(42, 426, 54, 438)(55, 439, 73, 457)(56, 440, 74, 458)(57, 441, 75, 459)(58, 442, 76, 460)(59, 443, 77, 461)(60, 444, 78, 462)(61, 445, 79, 463)(62, 446, 80, 464)(63, 447, 81, 465)(64, 448, 82, 466)(65, 449, 83, 467)(66, 450, 84, 468)(67, 451, 85, 469)(68, 452, 86, 470)(69, 453, 87, 471)(70, 454, 88, 472)(71, 455, 89, 473)(72, 456, 90, 474)(91, 475, 115, 499)(92, 476, 116, 500)(93, 477, 117, 501)(94, 478, 118, 502)(95, 479, 119, 503)(96, 480, 108, 492)(97, 481, 120, 504)(98, 482, 121, 505)(99, 483, 111, 495)(100, 484, 122, 506)(101, 485, 123, 507)(102, 486, 124, 508)(103, 487, 167, 551)(104, 488, 191, 575)(105, 489, 134, 518)(106, 490, 193, 577)(107, 491, 165, 549)(109, 493, 128, 512)(110, 494, 146, 530)(112, 496, 127, 511)(113, 497, 197, 581)(114, 498, 133, 517)(125, 509, 213, 597)(126, 510, 220, 604)(129, 513, 230, 614)(130, 514, 233, 617)(131, 515, 235, 619)(132, 516, 238, 622)(135, 519, 246, 630)(136, 520, 249, 633)(137, 521, 251, 635)(138, 522, 254, 638)(139, 523, 256, 640)(140, 524, 258, 642)(141, 525, 260, 644)(142, 526, 263, 647)(143, 527, 264, 648)(144, 528, 204, 588)(145, 529, 269, 653)(147, 531, 229, 613)(148, 532, 275, 659)(149, 533, 242, 626)(150, 534, 280, 664)(151, 535, 271, 655)(152, 536, 283, 667)(153, 537, 284, 668)(154, 538, 285, 669)(155, 539, 288, 672)(156, 540, 289, 673)(157, 541, 279, 663)(158, 542, 292, 676)(159, 543, 293, 677)(160, 544, 294, 678)(161, 545, 297, 681)(162, 546, 219, 603)(163, 547, 226, 610)(164, 548, 223, 607)(166, 550, 302, 686)(168, 552, 306, 690)(169, 553, 259, 643)(170, 554, 309, 693)(171, 555, 310, 694)(172, 556, 312, 696)(173, 557, 313, 697)(174, 558, 282, 666)(175, 559, 316, 700)(176, 560, 317, 701)(177, 561, 318, 702)(178, 562, 250, 634)(179, 563, 320, 704)(180, 564, 321, 705)(181, 565, 308, 692)(182, 566, 323, 707)(183, 567, 291, 675)(184, 568, 325, 709)(185, 569, 326, 710)(186, 570, 232, 616)(187, 571, 328, 712)(188, 572, 199, 583)(189, 573, 234, 618)(190, 574, 209, 593)(192, 576, 237, 621)(194, 578, 245, 629)(195, 579, 304, 688)(196, 580, 239, 623)(198, 582, 266, 650)(200, 584, 340, 724)(201, 585, 255, 639)(202, 586, 342, 726)(203, 587, 343, 727)(205, 589, 333, 717)(206, 590, 315, 699)(207, 591, 329, 713)(208, 592, 346, 730)(210, 594, 348, 732)(211, 595, 349, 733)(212, 596, 350, 734)(214, 598, 301, 685)(215, 599, 303, 687)(216, 600, 353, 737)(217, 601, 354, 738)(218, 602, 355, 739)(221, 605, 358, 742)(222, 606, 360, 744)(224, 608, 359, 743)(225, 609, 362, 746)(227, 611, 335, 719)(228, 612, 364, 748)(231, 615, 366, 750)(236, 620, 370, 754)(240, 624, 299, 683)(241, 625, 352, 736)(243, 627, 345, 729)(244, 628, 373, 757)(247, 631, 334, 718)(248, 632, 377, 761)(252, 636, 372, 756)(253, 637, 344, 728)(257, 641, 327, 711)(261, 645, 368, 752)(262, 646, 383, 767)(265, 649, 274, 658)(267, 651, 351, 735)(268, 652, 375, 759)(270, 654, 298, 682)(272, 656, 384, 768)(273, 657, 379, 763)(276, 660, 357, 741)(277, 661, 374, 758)(278, 662, 300, 684)(281, 665, 331, 715)(286, 670, 365, 749)(287, 671, 382, 766)(290, 674, 337, 721)(295, 679, 369, 753)(296, 680, 380, 764)(305, 689, 361, 745)(307, 691, 319, 703)(311, 695, 376, 760)(314, 698, 341, 725)(322, 706, 381, 765)(324, 708, 378, 762)(330, 714, 367, 751)(332, 716, 338, 722)(336, 720, 371, 755)(339, 723, 356, 740)(347, 731, 363, 747)(769, 1153, 771, 1155, 772, 1156)(770, 1154, 773, 1157, 774, 1158)(775, 1159, 779, 1163, 780, 1164)(776, 1160, 781, 1165, 782, 1166)(777, 1161, 783, 1167, 784, 1168)(778, 1162, 785, 1169, 786, 1170)(787, 1171, 795, 1179, 796, 1180)(788, 1172, 797, 1181, 798, 1182)(789, 1173, 799, 1183, 800, 1184)(790, 1174, 801, 1185, 802, 1186)(791, 1175, 803, 1187, 804, 1188)(792, 1176, 805, 1189, 806, 1190)(793, 1177, 807, 1191, 808, 1192)(794, 1178, 809, 1193, 810, 1194)(811, 1195, 823, 1207, 824, 1208)(812, 1196, 815, 1199, 825, 1209)(813, 1197, 826, 1210, 827, 1211)(814, 1198, 828, 1212, 829, 1213)(816, 1200, 830, 1214, 831, 1215)(817, 1201, 832, 1216, 833, 1217)(818, 1202, 821, 1205, 834, 1218)(819, 1203, 835, 1219, 836, 1220)(820, 1204, 837, 1221, 838, 1222)(822, 1206, 839, 1223, 840, 1224)(841, 1225, 859, 1243, 860, 1244)(842, 1226, 844, 1228, 861, 1245)(843, 1227, 862, 1246, 863, 1247)(845, 1229, 864, 1248, 865, 1249)(846, 1230, 866, 1250, 867, 1251)(847, 1231, 848, 1232, 868, 1252)(849, 1233, 869, 1253, 870, 1254)(850, 1234, 871, 1255, 872, 1256)(851, 1235, 853, 1237, 873, 1257)(852, 1236, 874, 1258, 875, 1259)(854, 1238, 876, 1260, 877, 1261)(855, 1239, 878, 1262, 879, 1263)(856, 1240, 857, 1241, 880, 1264)(858, 1242, 881, 1265, 882, 1266)(883, 1267, 967, 1351, 1107, 1491)(884, 1268, 886, 1270, 972, 1356)(885, 1269, 970, 1354, 1096, 1480)(887, 1271, 891, 1275, 981, 1365)(888, 1272, 975, 1359, 1032, 1416)(889, 1273, 977, 1361, 1115, 1499)(890, 1274, 979, 1363, 1070, 1454)(892, 1276, 983, 1367, 1037, 1421)(893, 1277, 985, 1369, 987, 1371)(894, 1278, 989, 1373, 991, 1375)(895, 1279, 992, 1376, 994, 1378)(896, 1280, 995, 1379, 997, 1381)(897, 1281, 990, 1374, 1000, 1384)(898, 1282, 999, 1383, 1002, 1386)(899, 1283, 986, 1370, 1005, 1389)(900, 1284, 1004, 1388, 1007, 1391)(901, 1285, 1008, 1392, 1010, 1394)(902, 1286, 1011, 1395, 1013, 1397)(903, 1287, 993, 1377, 1016, 1400)(904, 1288, 1015, 1399, 1018, 1402)(905, 1289, 996, 1380, 1021, 1405)(906, 1290, 1020, 1404, 1023, 1407)(907, 1291, 980, 1364, 968, 1352)(908, 1292, 1025, 1409, 1027, 1411)(909, 1293, 976, 1360, 1030, 1414)(910, 1294, 1029, 1413, 973, 1357)(911, 1295, 1033, 1417, 1026, 1410)(912, 1296, 1009, 1393, 1036, 1420)(913, 1297, 1038, 1422, 1039, 1423)(914, 1298, 1034, 1418, 1041, 1425)(915, 1299, 1042, 1426, 1017, 1401)(916, 1300, 984, 1368, 1045, 1429)(917, 1301, 1046, 1430, 1047, 1431)(918, 1302, 947, 1331, 978, 1362)(919, 1303, 1049, 1433, 1050, 1434)(920, 1304, 1044, 1428, 950, 1334)(921, 1305, 971, 1355, 945, 1329)(922, 1306, 953, 1337, 1055, 1439)(923, 1307, 1054, 1438, 948, 1332)(924, 1308, 938, 1322, 1040, 1424)(925, 1309, 1058, 1442, 1059, 1443)(926, 1310, 1035, 1419, 941, 1325)(927, 1311, 1012, 1396, 936, 1320)(928, 1312, 944, 1328, 1064, 1448)(929, 1313, 1063, 1447, 939, 1323)(930, 1314, 1066, 1450, 1022, 1406)(931, 1315, 1067, 1451, 1006, 1390)(932, 1316, 1068, 1452, 1031, 1415)(933, 1317, 965, 1349, 988, 1372)(934, 1318, 1071, 1455, 1001, 1385)(935, 1319, 1072, 1456, 1073, 1457)(937, 1321, 1075, 1459, 1076, 1460)(940, 1324, 1079, 1463, 943, 1327)(942, 1326, 1082, 1466, 1083, 1467)(946, 1330, 1087, 1471, 1080, 1464)(949, 1333, 1090, 1474, 952, 1336)(951, 1335, 1092, 1476, 982, 1366)(954, 1338, 1095, 1479, 1051, 1435)(955, 1339, 1097, 1481, 998, 1382)(956, 1340, 1069, 1453, 1098, 1482)(957, 1341, 1099, 1483, 1056, 1440)(958, 1342, 1093, 1477, 1100, 1484)(959, 1343, 961, 1345, 1043, 1427)(960, 1344, 1102, 1486, 1060, 1444)(962, 1346, 1103, 1487, 1003, 1387)(963, 1347, 974, 1358, 1104, 1488)(964, 1348, 1105, 1489, 1065, 1449)(966, 1350, 1084, 1468, 1106, 1490)(969, 1353, 1109, 1493, 1085, 1469)(1014, 1398, 1143, 1527, 1122, 1506)(1019, 1403, 1147, 1531, 1127, 1511)(1024, 1408, 1142, 1526, 1126, 1510)(1028, 1412, 1131, 1515, 1117, 1501)(1048, 1432, 1150, 1534, 1128, 1512)(1052, 1436, 1151, 1535, 1134, 1518)(1053, 1437, 1124, 1508, 1110, 1494)(1057, 1441, 1148, 1532, 1123, 1507)(1061, 1445, 1112, 1496, 1138, 1522)(1062, 1446, 1129, 1513, 1113, 1497)(1074, 1458, 1137, 1521, 1130, 1514)(1077, 1461, 1145, 1529, 1140, 1524)(1078, 1462, 1135, 1519, 1120, 1504)(1081, 1465, 1144, 1528, 1132, 1516)(1086, 1470, 1133, 1517, 1118, 1502)(1088, 1472, 1108, 1492, 1136, 1520)(1089, 1473, 1139, 1523, 1121, 1505)(1091, 1475, 1149, 1533, 1114, 1498)(1094, 1478, 1101, 1485, 1146, 1530)(1111, 1495, 1116, 1500, 1125, 1509)(1119, 1503, 1141, 1525, 1152, 1536)
	L = (1, 770)(2, 769)(3, 775)(4, 776)(5, 777)(6, 778)(7, 771)(8, 772)(9, 773)(10, 774)(11, 787)(12, 788)(13, 789)(14, 790)(15, 791)(16, 792)(17, 793)(18, 794)(19, 779)(20, 780)(21, 781)(22, 782)(23, 783)(24, 784)(25, 785)(26, 786)(27, 811)(28, 812)(29, 805)(30, 813)(31, 814)(32, 808)(33, 815)(34, 816)(35, 817)(36, 818)(37, 797)(38, 819)(39, 820)(40, 800)(41, 821)(42, 822)(43, 795)(44, 796)(45, 798)(46, 799)(47, 801)(48, 802)(49, 803)(50, 804)(51, 806)(52, 807)(53, 809)(54, 810)(55, 841)(56, 842)(57, 843)(58, 844)(59, 845)(60, 846)(61, 847)(62, 848)(63, 849)(64, 850)(65, 851)(66, 852)(67, 853)(68, 854)(69, 855)(70, 856)(71, 857)(72, 858)(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, 883)(92, 884)(93, 885)(94, 886)(95, 887)(96, 876)(97, 888)(98, 889)(99, 879)(100, 890)(101, 891)(102, 892)(103, 935)(104, 959)(105, 902)(106, 961)(107, 933)(108, 864)(109, 896)(110, 914)(111, 867)(112, 895)(113, 965)(114, 901)(115, 859)(116, 860)(117, 861)(118, 862)(119, 863)(120, 865)(121, 866)(122, 868)(123, 869)(124, 870)(125, 981)(126, 988)(127, 880)(128, 877)(129, 998)(130, 1001)(131, 1003)(132, 1006)(133, 882)(134, 873)(135, 1014)(136, 1017)(137, 1019)(138, 1022)(139, 1024)(140, 1026)(141, 1028)(142, 1031)(143, 1032)(144, 972)(145, 1037)(146, 878)(147, 997)(148, 1043)(149, 1010)(150, 1048)(151, 1039)(152, 1051)(153, 1052)(154, 1053)(155, 1056)(156, 1057)(157, 1047)(158, 1060)(159, 1061)(160, 1062)(161, 1065)(162, 987)(163, 994)(164, 991)(165, 875)(166, 1070)(167, 871)(168, 1074)(169, 1027)(170, 1077)(171, 1078)(172, 1080)(173, 1081)(174, 1050)(175, 1084)(176, 1085)(177, 1086)(178, 1018)(179, 1088)(180, 1089)(181, 1076)(182, 1091)(183, 1059)(184, 1093)(185, 1094)(186, 1000)(187, 1096)(188, 967)(189, 1002)(190, 977)(191, 872)(192, 1005)(193, 874)(194, 1013)(195, 1072)(196, 1007)(197, 881)(198, 1034)(199, 956)(200, 1108)(201, 1023)(202, 1110)(203, 1111)(204, 912)(205, 1101)(206, 1083)(207, 1097)(208, 1114)(209, 958)(210, 1116)(211, 1117)(212, 1118)(213, 893)(214, 1069)(215, 1071)(216, 1121)(217, 1122)(218, 1123)(219, 930)(220, 894)(221, 1126)(222, 1128)(223, 932)(224, 1127)(225, 1130)(226, 931)(227, 1103)(228, 1132)(229, 915)(230, 897)(231, 1134)(232, 954)(233, 898)(234, 957)(235, 899)(236, 1138)(237, 960)(238, 900)(239, 964)(240, 1067)(241, 1120)(242, 917)(243, 1113)(244, 1141)(245, 962)(246, 903)(247, 1102)(248, 1145)(249, 904)(250, 946)(251, 905)(252, 1140)(253, 1112)(254, 906)(255, 969)(256, 907)(257, 1095)(258, 908)(259, 937)(260, 909)(261, 1136)(262, 1151)(263, 910)(264, 911)(265, 1042)(266, 966)(267, 1119)(268, 1143)(269, 913)(270, 1066)(271, 919)(272, 1152)(273, 1147)(274, 1033)(275, 916)(276, 1125)(277, 1142)(278, 1068)(279, 925)(280, 918)(281, 1099)(282, 942)(283, 920)(284, 921)(285, 922)(286, 1133)(287, 1150)(288, 923)(289, 924)(290, 1105)(291, 951)(292, 926)(293, 927)(294, 928)(295, 1137)(296, 1148)(297, 929)(298, 1038)(299, 1008)(300, 1046)(301, 982)(302, 934)(303, 983)(304, 963)(305, 1129)(306, 936)(307, 1087)(308, 949)(309, 938)(310, 939)(311, 1144)(312, 940)(313, 941)(314, 1109)(315, 974)(316, 943)(317, 944)(318, 945)(319, 1075)(320, 947)(321, 948)(322, 1149)(323, 950)(324, 1146)(325, 952)(326, 953)(327, 1025)(328, 955)(329, 975)(330, 1135)(331, 1049)(332, 1106)(333, 973)(334, 1015)(335, 995)(336, 1139)(337, 1058)(338, 1100)(339, 1124)(340, 968)(341, 1082)(342, 970)(343, 971)(344, 1021)(345, 1011)(346, 976)(347, 1131)(348, 978)(349, 979)(350, 980)(351, 1035)(352, 1009)(353, 984)(354, 985)(355, 986)(356, 1107)(357, 1044)(358, 989)(359, 992)(360, 990)(361, 1073)(362, 993)(363, 1115)(364, 996)(365, 1054)(366, 999)(367, 1098)(368, 1029)(369, 1063)(370, 1004)(371, 1104)(372, 1020)(373, 1012)(374, 1045)(375, 1036)(376, 1079)(377, 1016)(378, 1092)(379, 1041)(380, 1064)(381, 1090)(382, 1055)(383, 1030)(384, 1040)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.3181
Graph:: bipartite
	v = 320 e = 768 f = 408
	degree seq :: [ 4^192, 6^128 ]

E21.3179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^2 * Y1^-1, (Y2^2 * Y1^-1)^3, Y2^16, Y2^-1 * Y1 * Y2^-6 * Y1 * Y2^-1 * Y1 * Y2^5 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 385, 2, 386, 4, 388)(3, 387, 8, 392, 10, 394)(5, 389, 12, 396, 6, 390)(7, 391, 15, 399, 11, 395)(9, 393, 18, 402, 20, 404)(13, 397, 25, 409, 23, 407)(14, 398, 24, 408, 28, 412)(16, 400, 31, 415, 29, 413)(17, 401, 33, 417, 21, 405)(19, 403, 36, 420, 38, 422)(22, 406, 30, 414, 42, 426)(26, 410, 47, 431, 45, 429)(27, 411, 49, 433, 51, 435)(32, 416, 56, 440, 55, 439)(34, 418, 59, 443, 58, 442)(35, 419, 53, 437, 39, 423)(37, 421, 63, 447, 65, 449)(40, 424, 52, 436, 44, 428)(41, 425, 68, 452, 70, 454)(43, 427, 46, 430, 54, 438)(48, 432, 76, 460, 74, 458)(50, 434, 79, 463, 81, 465)(57, 441, 87, 471, 85, 469)(60, 444, 91, 475, 90, 474)(61, 445, 93, 477, 82, 466)(62, 446, 89, 473, 66, 450)(64, 448, 97, 481, 99, 483)(67, 451, 72, 456, 102, 486)(69, 453, 104, 488, 106, 490)(71, 455, 83, 467, 108, 492)(73, 457, 75, 459, 78, 462)(77, 461, 114, 498, 112, 496)(80, 464, 118, 502, 120, 504)(84, 468, 86, 470, 103, 487)(88, 472, 128, 512, 126, 510)(92, 476, 134, 518, 132, 516)(94, 478, 125, 509, 127, 511)(95, 479, 137, 521, 130, 514)(96, 480, 122, 506, 100, 484)(98, 482, 141, 525, 143, 527)(101, 485, 121, 505, 117, 501)(105, 489, 148, 532, 150, 534)(107, 491, 151, 535, 147, 531)(109, 493, 131, 515, 133, 517)(110, 494, 116, 500, 155, 539)(111, 495, 113, 497, 123, 507)(115, 499, 160, 544, 158, 542)(119, 503, 165, 549, 167, 551)(124, 508, 146, 530, 172, 556)(129, 513, 177, 561, 175, 559)(135, 519, 184, 568, 182, 566)(136, 520, 186, 570, 173, 557)(138, 522, 181, 565, 183, 567)(139, 523, 189, 573, 169, 553)(140, 524, 179, 563, 144, 528)(142, 526, 193, 577, 195, 579)(145, 529, 163, 547, 198, 582)(149, 533, 202, 586, 204, 588)(152, 536, 200, 584, 207, 591)(153, 537, 208, 592, 180, 564)(154, 538, 168, 552, 164, 548)(156, 540, 170, 554, 212, 596)(157, 541, 159, 543, 162, 546)(161, 545, 217, 601, 215, 599)(166, 550, 222, 606, 224, 608)(171, 555, 205, 589, 201, 585)(174, 558, 176, 560, 199, 583)(178, 562, 234, 618, 232, 616)(185, 569, 241, 625, 239, 623)(187, 571, 231, 615, 233, 617)(188, 572, 245, 629, 237, 621)(190, 574, 229, 613, 243, 627)(191, 575, 248, 632, 235, 619)(192, 576, 226, 610, 196, 580)(194, 578, 252, 636, 253, 637)(197, 581, 225, 609, 221, 605)(203, 587, 261, 645, 262, 646)(206, 590, 263, 647, 260, 644)(209, 593, 238, 622, 240, 624)(210, 594, 220, 604, 268, 652)(211, 595, 265, 649, 258, 642)(213, 597, 218, 602, 271, 655)(214, 598, 216, 600, 227, 611)(219, 603, 236, 620, 256, 640)(223, 607, 280, 664, 281, 665)(228, 612, 259, 643, 286, 670)(230, 614, 257, 641, 289, 673)(242, 626, 300, 684, 298, 682)(244, 628, 301, 685, 290, 674)(246, 630, 297, 681, 299, 683)(247, 631, 305, 689, 287, 671)(249, 633, 295, 679, 303, 687)(250, 634, 308, 692, 283, 667)(251, 635, 293, 677, 254, 638)(255, 639, 278, 662, 313, 697)(264, 648, 317, 701, 321, 705)(266, 650, 322, 706, 296, 680)(267, 651, 282, 666, 279, 663)(269, 653, 315, 699, 326, 710)(270, 654, 324, 708, 277, 661)(272, 656, 284, 668, 329, 713)(273, 657, 274, 658, 275, 659)(276, 660, 332, 716, 294, 678)(285, 669, 319, 703, 318, 702)(288, 672, 340, 724, 316, 700)(291, 675, 292, 676, 314, 698)(302, 686, 338, 722, 337, 721)(304, 688, 352, 736, 348, 732)(306, 690, 343, 727, 351, 735)(307, 691, 355, 739, 346, 730)(309, 693, 341, 725, 353, 737)(310, 694, 330, 714, 331, 715)(311, 695, 339, 723, 312, 696)(320, 704, 349, 733, 350, 734)(323, 707, 336, 720, 344, 728)(325, 709, 363, 747, 362, 746)(327, 711, 334, 718, 368, 752)(328, 712, 366, 750, 360, 744)(333, 717, 347, 731, 364, 748)(335, 719, 345, 729, 359, 743)(342, 726, 361, 745, 375, 759)(354, 738, 372, 756, 376, 760)(356, 740, 379, 763, 380, 764)(357, 741, 369, 753, 374, 758)(358, 742, 371, 755, 370, 754)(365, 749, 382, 766, 378, 762)(367, 751, 377, 761, 373, 757)(381, 765, 384, 768, 383, 767)(769, 1153, 771, 1155, 777, 1161, 787, 1171, 805, 1189, 832, 1216, 866, 1250, 910, 1294, 962, 1346, 929, 1313, 883, 1267, 845, 1229, 816, 1200, 794, 1178, 781, 1165, 773, 1157)(770, 1154, 774, 1158, 782, 1166, 795, 1179, 818, 1202, 848, 1232, 887, 1271, 934, 1318, 991, 1375, 946, 1330, 897, 1281, 856, 1240, 825, 1209, 800, 1184, 784, 1168, 775, 1159)(772, 1156, 779, 1163, 790, 1174, 809, 1193, 837, 1221, 873, 1257, 917, 1301, 971, 1355, 1010, 1394, 953, 1337, 903, 1287, 860, 1244, 828, 1212, 802, 1186, 785, 1169, 776, 1160)(778, 1162, 789, 1173, 808, 1192, 835, 1219, 869, 1253, 913, 1297, 965, 1349, 1023, 1407, 1070, 1454, 1012, 1396, 955, 1339, 904, 1288, 862, 1246, 829, 1213, 803, 1187, 786, 1170)(780, 1164, 791, 1175, 811, 1195, 839, 1223, 875, 1259, 920, 1304, 974, 1358, 1032, 1416, 1088, 1472, 1034, 1418, 977, 1361, 921, 1305, 877, 1261, 840, 1224, 812, 1196, 792, 1176)(783, 1167, 797, 1181, 821, 1205, 850, 1234, 890, 1274, 937, 1321, 994, 1378, 1051, 1435, 1107, 1491, 1052, 1436, 995, 1379, 938, 1322, 891, 1275, 851, 1235, 822, 1206, 798, 1182)(788, 1172, 807, 1191, 799, 1183, 823, 1207, 852, 1236, 892, 1276, 939, 1323, 996, 1380, 1053, 1437, 1072, 1456, 1014, 1398, 956, 1340, 906, 1290, 863, 1247, 830, 1214, 804, 1188)(793, 1177, 813, 1197, 841, 1225, 878, 1262, 922, 1306, 978, 1362, 1035, 1419, 1091, 1475, 1082, 1466, 1025, 1409, 967, 1351, 914, 1298, 871, 1255, 836, 1220, 810, 1194, 814, 1198)(796, 1180, 820, 1204, 801, 1185, 826, 1210, 857, 1241, 898, 1282, 947, 1331, 1003, 1387, 1061, 1445, 1099, 1483, 1043, 1427, 986, 1370, 930, 1314, 884, 1268, 846, 1230, 817, 1201)(806, 1190, 834, 1218, 827, 1211, 858, 1242, 899, 1283, 948, 1332, 1004, 1388, 1062, 1446, 1113, 1497, 1122, 1506, 1074, 1458, 1015, 1399, 958, 1342, 907, 1291, 864, 1248, 831, 1215)(815, 1199, 842, 1226, 879, 1263, 924, 1308, 979, 1363, 1037, 1421, 1093, 1477, 1133, 1517, 1101, 1485, 1044, 1428, 987, 1371, 931, 1315, 885, 1269, 847, 1231, 819, 1203, 843, 1227)(824, 1208, 853, 1237, 893, 1277, 941, 1325, 997, 1381, 1055, 1439, 1109, 1493, 1142, 1526, 1128, 1512, 1083, 1467, 1026, 1410, 968, 1352, 915, 1299, 872, 1256, 838, 1222, 854, 1238)(833, 1217, 868, 1252, 861, 1245, 895, 1279, 855, 1239, 894, 1278, 942, 1326, 998, 1382, 1056, 1440, 1110, 1494, 1124, 1508, 1075, 1459, 1017, 1401, 959, 1343, 908, 1292, 865, 1249)(844, 1228, 880, 1264, 925, 1309, 981, 1365, 1038, 1422, 1095, 1479, 1135, 1519, 1129, 1513, 1084, 1468, 1027, 1411, 969, 1353, 916, 1300, 874, 1258, 919, 1303, 876, 1260, 881, 1265)(849, 1233, 889, 1273, 870, 1254, 901, 1285, 859, 1243, 900, 1284, 949, 1333, 1005, 1389, 1063, 1447, 1114, 1498, 1139, 1523, 1102, 1486, 1045, 1429, 988, 1372, 932, 1316, 886, 1270)(867, 1251, 912, 1296, 905, 1289, 951, 1335, 902, 1286, 950, 1334, 1006, 1390, 1064, 1448, 1115, 1499, 1146, 1530, 1149, 1533, 1125, 1509, 1077, 1461, 1018, 1402, 960, 1344, 909, 1293)(882, 1266, 926, 1310, 982, 1366, 1040, 1424, 1096, 1480, 1137, 1521, 1151, 1535, 1140, 1524, 1103, 1487, 1046, 1430, 989, 1373, 933, 1317, 888, 1272, 936, 1320, 923, 1307, 927, 1311)(896, 1280, 943, 1327, 999, 1383, 1058, 1442, 1111, 1495, 1144, 1528, 1152, 1536, 1150, 1534, 1130, 1514, 1085, 1469, 1028, 1412, 970, 1354, 918, 1302, 973, 1357, 940, 1324, 944, 1328)(911, 1295, 964, 1348, 957, 1341, 1011, 1395, 954, 1338, 1001, 1385, 945, 1329, 1000, 1384, 1059, 1443, 1112, 1496, 1145, 1529, 1136, 1520, 1126, 1510, 1078, 1462, 1019, 1403, 961, 1345)(928, 1312, 983, 1367, 1041, 1425, 1098, 1482, 1138, 1522, 1123, 1507, 1148, 1532, 1120, 1504, 1086, 1470, 1029, 1413, 972, 1356, 1031, 1415, 975, 1359, 1033, 1417, 980, 1364, 984, 1368)(935, 1319, 993, 1377, 966, 1350, 1024, 1408, 976, 1360, 1008, 1392, 952, 1336, 1007, 1391, 1065, 1449, 1116, 1500, 1147, 1531, 1143, 1527, 1141, 1525, 1104, 1488, 1047, 1431, 990, 1374)(963, 1347, 1022, 1406, 1016, 1400, 1071, 1455, 1013, 1397, 1067, 1451, 1009, 1393, 1066, 1450, 1117, 1501, 1089, 1473, 1131, 1515, 1094, 1478, 1134, 1518, 1097, 1481, 1079, 1463, 1020, 1404)(985, 1369, 1021, 1405, 1080, 1464, 1076, 1460, 1121, 1505, 1073, 1457, 1119, 1503, 1069, 1453, 1105, 1489, 1048, 1432, 992, 1376, 1050, 1434, 1036, 1420, 1092, 1476, 1039, 1423, 1042, 1426)(1002, 1386, 1049, 1433, 1106, 1490, 1081, 1465, 1127, 1511, 1100, 1484, 1132, 1516, 1090, 1474, 1118, 1502, 1068, 1452, 1030, 1414, 1087, 1471, 1054, 1438, 1108, 1492, 1057, 1441, 1060, 1444)
	L = (1, 771)(2, 774)(3, 777)(4, 779)(5, 769)(6, 782)(7, 770)(8, 772)(9, 787)(10, 789)(11, 790)(12, 791)(13, 773)(14, 795)(15, 797)(16, 775)(17, 776)(18, 778)(19, 805)(20, 807)(21, 808)(22, 809)(23, 811)(24, 780)(25, 813)(26, 781)(27, 818)(28, 820)(29, 821)(30, 783)(31, 823)(32, 784)(33, 826)(34, 785)(35, 786)(36, 788)(37, 832)(38, 834)(39, 799)(40, 835)(41, 837)(42, 814)(43, 839)(44, 792)(45, 841)(46, 793)(47, 842)(48, 794)(49, 796)(50, 848)(51, 843)(52, 801)(53, 850)(54, 798)(55, 852)(56, 853)(57, 800)(58, 857)(59, 858)(60, 802)(61, 803)(62, 804)(63, 806)(64, 866)(65, 868)(66, 827)(67, 869)(68, 810)(69, 873)(70, 854)(71, 875)(72, 812)(73, 878)(74, 879)(75, 815)(76, 880)(77, 816)(78, 817)(79, 819)(80, 887)(81, 889)(82, 890)(83, 822)(84, 892)(85, 893)(86, 824)(87, 894)(88, 825)(89, 898)(90, 899)(91, 900)(92, 828)(93, 895)(94, 829)(95, 830)(96, 831)(97, 833)(98, 910)(99, 912)(100, 861)(101, 913)(102, 901)(103, 836)(104, 838)(105, 917)(106, 919)(107, 920)(108, 881)(109, 840)(110, 922)(111, 924)(112, 925)(113, 844)(114, 926)(115, 845)(116, 846)(117, 847)(118, 849)(119, 934)(120, 936)(121, 870)(122, 937)(123, 851)(124, 939)(125, 941)(126, 942)(127, 855)(128, 943)(129, 856)(130, 947)(131, 948)(132, 949)(133, 859)(134, 950)(135, 860)(136, 862)(137, 951)(138, 863)(139, 864)(140, 865)(141, 867)(142, 962)(143, 964)(144, 905)(145, 965)(146, 871)(147, 872)(148, 874)(149, 971)(150, 973)(151, 876)(152, 974)(153, 877)(154, 978)(155, 927)(156, 979)(157, 981)(158, 982)(159, 882)(160, 983)(161, 883)(162, 884)(163, 885)(164, 886)(165, 888)(166, 991)(167, 993)(168, 923)(169, 994)(170, 891)(171, 996)(172, 944)(173, 997)(174, 998)(175, 999)(176, 896)(177, 1000)(178, 897)(179, 1003)(180, 1004)(181, 1005)(182, 1006)(183, 902)(184, 1007)(185, 903)(186, 1001)(187, 904)(188, 906)(189, 1011)(190, 907)(191, 908)(192, 909)(193, 911)(194, 929)(195, 1022)(196, 957)(197, 1023)(198, 1024)(199, 914)(200, 915)(201, 916)(202, 918)(203, 1010)(204, 1031)(205, 940)(206, 1032)(207, 1033)(208, 1008)(209, 921)(210, 1035)(211, 1037)(212, 984)(213, 1038)(214, 1040)(215, 1041)(216, 928)(217, 1021)(218, 930)(219, 931)(220, 932)(221, 933)(222, 935)(223, 946)(224, 1050)(225, 966)(226, 1051)(227, 938)(228, 1053)(229, 1055)(230, 1056)(231, 1058)(232, 1059)(233, 945)(234, 1049)(235, 1061)(236, 1062)(237, 1063)(238, 1064)(239, 1065)(240, 952)(241, 1066)(242, 953)(243, 954)(244, 955)(245, 1067)(246, 956)(247, 958)(248, 1071)(249, 959)(250, 960)(251, 961)(252, 963)(253, 1080)(254, 1016)(255, 1070)(256, 976)(257, 967)(258, 968)(259, 969)(260, 970)(261, 972)(262, 1087)(263, 975)(264, 1088)(265, 980)(266, 977)(267, 1091)(268, 1092)(269, 1093)(270, 1095)(271, 1042)(272, 1096)(273, 1098)(274, 985)(275, 986)(276, 987)(277, 988)(278, 989)(279, 990)(280, 992)(281, 1106)(282, 1036)(283, 1107)(284, 995)(285, 1072)(286, 1108)(287, 1109)(288, 1110)(289, 1060)(290, 1111)(291, 1112)(292, 1002)(293, 1099)(294, 1113)(295, 1114)(296, 1115)(297, 1116)(298, 1117)(299, 1009)(300, 1030)(301, 1105)(302, 1012)(303, 1013)(304, 1014)(305, 1119)(306, 1015)(307, 1017)(308, 1121)(309, 1018)(310, 1019)(311, 1020)(312, 1076)(313, 1127)(314, 1025)(315, 1026)(316, 1027)(317, 1028)(318, 1029)(319, 1054)(320, 1034)(321, 1131)(322, 1118)(323, 1082)(324, 1039)(325, 1133)(326, 1134)(327, 1135)(328, 1137)(329, 1079)(330, 1138)(331, 1043)(332, 1132)(333, 1044)(334, 1045)(335, 1046)(336, 1047)(337, 1048)(338, 1081)(339, 1052)(340, 1057)(341, 1142)(342, 1124)(343, 1144)(344, 1145)(345, 1122)(346, 1139)(347, 1146)(348, 1147)(349, 1089)(350, 1068)(351, 1069)(352, 1086)(353, 1073)(354, 1074)(355, 1148)(356, 1075)(357, 1077)(358, 1078)(359, 1100)(360, 1083)(361, 1084)(362, 1085)(363, 1094)(364, 1090)(365, 1101)(366, 1097)(367, 1129)(368, 1126)(369, 1151)(370, 1123)(371, 1102)(372, 1103)(373, 1104)(374, 1128)(375, 1141)(376, 1152)(377, 1136)(378, 1149)(379, 1143)(380, 1120)(381, 1125)(382, 1130)(383, 1140)(384, 1150)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3180
Graph:: bipartite
	v = 152 e = 768 f = 576
	degree seq :: [ 6^128, 32^24 ]

E21.3180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, Y3^-2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2, Y3^4 * Y2 * Y3^-4 * Y2 * Y3^-4 * Y2 * Y3^4 * Y2, (Y3^-1 * Y2 * Y3^7 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)(769, 1153, 770, 1154)(771, 1155, 775, 1159)(772, 1156, 777, 1161)(773, 1157, 779, 1163)(774, 1158, 781, 1165)(776, 1160, 784, 1168)(778, 1162, 787, 1171)(780, 1164, 790, 1174)(782, 1166, 793, 1177)(783, 1167, 795, 1179)(785, 1169, 798, 1182)(786, 1170, 800, 1184)(788, 1172, 803, 1187)(789, 1173, 805, 1189)(791, 1175, 808, 1192)(792, 1176, 810, 1194)(794, 1178, 813, 1197)(796, 1180, 816, 1200)(797, 1181, 818, 1202)(799, 1183, 821, 1205)(801, 1185, 824, 1208)(802, 1186, 826, 1210)(804, 1188, 829, 1213)(806, 1190, 832, 1216)(807, 1191, 834, 1218)(809, 1193, 837, 1221)(811, 1195, 840, 1224)(812, 1196, 842, 1226)(814, 1198, 845, 1229)(815, 1199, 831, 1215)(817, 1201, 848, 1232)(819, 1203, 843, 1227)(820, 1204, 851, 1235)(822, 1206, 854, 1238)(823, 1207, 839, 1223)(825, 1209, 857, 1241)(827, 1211, 835, 1219)(828, 1212, 860, 1244)(830, 1214, 863, 1247)(833, 1217, 866, 1250)(836, 1220, 869, 1253)(838, 1222, 872, 1256)(841, 1225, 875, 1259)(844, 1228, 878, 1262)(846, 1230, 881, 1265)(847, 1231, 883, 1267)(849, 1233, 886, 1270)(850, 1234, 888, 1272)(852, 1236, 884, 1268)(853, 1237, 891, 1275)(855, 1239, 894, 1278)(856, 1240, 896, 1280)(858, 1242, 899, 1283)(859, 1243, 901, 1285)(861, 1245, 897, 1281)(862, 1246, 904, 1288)(864, 1248, 907, 1291)(865, 1249, 909, 1293)(867, 1251, 912, 1296)(868, 1252, 914, 1298)(870, 1254, 910, 1294)(871, 1255, 917, 1301)(873, 1257, 920, 1304)(874, 1258, 922, 1306)(876, 1260, 925, 1309)(877, 1261, 927, 1311)(879, 1263, 923, 1307)(880, 1264, 930, 1314)(882, 1266, 933, 1317)(885, 1269, 911, 1295)(887, 1271, 937, 1321)(889, 1273, 931, 1315)(890, 1274, 940, 1324)(892, 1276, 928, 1312)(893, 1277, 943, 1327)(895, 1279, 946, 1330)(898, 1282, 924, 1308)(900, 1284, 950, 1334)(902, 1286, 918, 1302)(903, 1287, 953, 1337)(905, 1289, 915, 1299)(906, 1290, 956, 1340)(908, 1292, 959, 1343)(913, 1297, 962, 1346)(916, 1300, 965, 1349)(919, 1303, 968, 1352)(921, 1305, 971, 1355)(926, 1310, 975, 1359)(929, 1313, 978, 1362)(932, 1316, 981, 1365)(934, 1318, 984, 1368)(935, 1319, 985, 1369)(936, 1320, 987, 1371)(938, 1322, 990, 1374)(939, 1323, 992, 1376)(941, 1325, 988, 1372)(942, 1326, 995, 1379)(944, 1328, 986, 1370)(945, 1329, 998, 1382)(947, 1331, 1001, 1385)(948, 1332, 1002, 1386)(949, 1333, 1004, 1388)(951, 1335, 1007, 1391)(952, 1336, 1009, 1393)(954, 1338, 1005, 1389)(955, 1339, 1012, 1396)(957, 1341, 1003, 1387)(958, 1342, 1015, 1399)(960, 1344, 1018, 1402)(961, 1345, 1020, 1404)(963, 1347, 1023, 1407)(964, 1348, 1025, 1409)(966, 1350, 1021, 1405)(967, 1351, 1028, 1412)(969, 1353, 1019, 1403)(970, 1354, 1031, 1415)(972, 1356, 1034, 1418)(973, 1357, 1035, 1419)(974, 1358, 1037, 1421)(976, 1360, 1040, 1424)(977, 1361, 1042, 1426)(979, 1363, 1038, 1422)(980, 1364, 1045, 1429)(982, 1366, 1036, 1420)(983, 1367, 1048, 1432)(989, 1373, 1022, 1406)(991, 1375, 1054, 1438)(993, 1377, 1049, 1433)(994, 1378, 1056, 1440)(996, 1380, 1046, 1430)(997, 1381, 1059, 1443)(999, 1383, 1043, 1427)(1000, 1384, 1062, 1446)(1006, 1390, 1039, 1423)(1008, 1392, 1068, 1452)(1010, 1394, 1032, 1416)(1011, 1395, 1070, 1454)(1013, 1397, 1029, 1413)(1014, 1398, 1073, 1457)(1016, 1400, 1026, 1410)(1017, 1401, 1064, 1448)(1024, 1408, 1080, 1464)(1027, 1411, 1082, 1466)(1030, 1414, 1085, 1469)(1033, 1417, 1088, 1472)(1041, 1425, 1094, 1478)(1044, 1428, 1096, 1480)(1047, 1431, 1099, 1483)(1050, 1434, 1090, 1474)(1051, 1435, 1103, 1487)(1052, 1436, 1104, 1488)(1053, 1437, 1106, 1490)(1055, 1439, 1089, 1473)(1057, 1441, 1107, 1491)(1058, 1442, 1109, 1493)(1060, 1444, 1105, 1489)(1061, 1445, 1112, 1496)(1063, 1447, 1081, 1465)(1065, 1449, 1115, 1499)(1066, 1450, 1116, 1500)(1067, 1451, 1118, 1502)(1069, 1453, 1102, 1486)(1071, 1455, 1119, 1503)(1072, 1456, 1120, 1504)(1074, 1458, 1117, 1501)(1075, 1459, 1114, 1498)(1076, 1460, 1095, 1479)(1077, 1461, 1124, 1508)(1078, 1462, 1125, 1509)(1079, 1463, 1127, 1511)(1083, 1467, 1128, 1512)(1084, 1468, 1130, 1514)(1086, 1470, 1126, 1510)(1087, 1471, 1133, 1517)(1091, 1475, 1136, 1520)(1092, 1476, 1137, 1521)(1093, 1477, 1139, 1523)(1097, 1481, 1140, 1524)(1098, 1482, 1141, 1525)(1100, 1484, 1138, 1522)(1101, 1485, 1135, 1519)(1108, 1492, 1129, 1513)(1110, 1494, 1144, 1528)(1111, 1495, 1146, 1530)(1113, 1497, 1142, 1526)(1121, 1505, 1134, 1518)(1122, 1506, 1147, 1531)(1123, 1507, 1131, 1515)(1132, 1516, 1150, 1534)(1143, 1527, 1151, 1535)(1145, 1529, 1152, 1536)(1148, 1532, 1149, 1533)
	L = (1, 771)(2, 773)(3, 776)(4, 769)(5, 780)(6, 770)(7, 781)(8, 785)(9, 786)(10, 772)(11, 777)(12, 791)(13, 792)(14, 774)(15, 775)(16, 795)(17, 799)(18, 801)(19, 802)(20, 778)(21, 779)(22, 805)(23, 809)(24, 811)(25, 812)(26, 782)(27, 815)(28, 783)(29, 784)(30, 818)(31, 822)(32, 787)(33, 825)(34, 827)(35, 828)(36, 788)(37, 831)(38, 789)(39, 790)(40, 834)(41, 838)(42, 793)(43, 841)(44, 843)(45, 844)(46, 794)(47, 832)(48, 847)(49, 796)(50, 842)(51, 797)(52, 798)(53, 851)(54, 855)(55, 800)(56, 839)(57, 858)(58, 803)(59, 859)(60, 861)(61, 862)(62, 804)(63, 816)(64, 865)(65, 806)(66, 826)(67, 807)(68, 808)(69, 869)(70, 873)(71, 810)(72, 823)(73, 876)(74, 813)(75, 877)(76, 879)(77, 880)(78, 814)(79, 884)(80, 885)(81, 817)(82, 819)(83, 883)(84, 820)(85, 821)(86, 891)(87, 895)(88, 824)(89, 896)(90, 900)(91, 902)(92, 829)(93, 903)(94, 905)(95, 906)(96, 830)(97, 910)(98, 911)(99, 833)(100, 835)(101, 909)(102, 836)(103, 837)(104, 917)(105, 921)(106, 840)(107, 922)(108, 926)(109, 928)(110, 845)(111, 929)(112, 931)(113, 932)(114, 846)(115, 848)(116, 935)(117, 912)(118, 936)(119, 849)(120, 930)(121, 850)(122, 852)(123, 927)(124, 853)(125, 854)(126, 943)(127, 947)(128, 860)(129, 856)(130, 857)(131, 924)(132, 951)(133, 914)(134, 952)(135, 954)(136, 863)(137, 955)(138, 957)(139, 958)(140, 864)(141, 866)(142, 960)(143, 886)(144, 961)(145, 867)(146, 904)(147, 868)(148, 870)(149, 901)(150, 871)(151, 872)(152, 968)(153, 972)(154, 878)(155, 874)(156, 875)(157, 898)(158, 976)(159, 888)(160, 977)(161, 979)(162, 881)(163, 980)(164, 982)(165, 983)(166, 882)(167, 986)(168, 988)(169, 989)(170, 887)(171, 889)(172, 987)(173, 890)(174, 892)(175, 985)(176, 893)(177, 894)(178, 998)(179, 908)(180, 897)(181, 899)(182, 1004)(183, 1008)(184, 1010)(185, 1002)(186, 1011)(187, 1013)(188, 907)(189, 1014)(190, 1016)(191, 1017)(192, 1019)(193, 1021)(194, 1022)(195, 913)(196, 915)(197, 1020)(198, 916)(199, 918)(200, 1018)(201, 919)(202, 920)(203, 1031)(204, 934)(205, 923)(206, 925)(207, 1037)(208, 1041)(209, 1043)(210, 1035)(211, 1044)(212, 1046)(213, 933)(214, 1047)(215, 1049)(216, 1050)(217, 940)(218, 1051)(219, 937)(220, 1052)(221, 1023)(222, 1053)(223, 938)(224, 1048)(225, 939)(226, 941)(227, 1045)(228, 942)(229, 944)(230, 1042)(231, 945)(232, 946)(233, 1062)(234, 956)(235, 948)(236, 953)(237, 949)(238, 950)(239, 1039)(240, 1024)(241, 1028)(242, 1069)(243, 1071)(244, 1025)(245, 1072)(246, 1074)(247, 959)(248, 1075)(249, 1076)(250, 965)(251, 1077)(252, 962)(253, 1078)(254, 990)(255, 1079)(256, 963)(257, 1015)(258, 964)(259, 966)(260, 1012)(261, 967)(262, 969)(263, 1009)(264, 970)(265, 971)(266, 1088)(267, 981)(268, 973)(269, 978)(270, 974)(271, 975)(272, 1006)(273, 991)(274, 995)(275, 1095)(276, 1097)(277, 992)(278, 1098)(279, 1100)(280, 984)(281, 1101)(282, 1102)(283, 1081)(284, 1105)(285, 1107)(286, 1108)(287, 993)(288, 1106)(289, 994)(290, 996)(291, 1104)(292, 997)(293, 999)(294, 1103)(295, 1000)(296, 1001)(297, 1003)(298, 1005)(299, 1007)(300, 1118)(301, 1091)(302, 1116)(303, 1083)(304, 1121)(305, 1115)(306, 1122)(307, 1123)(308, 1112)(309, 1055)(310, 1126)(311, 1128)(312, 1129)(313, 1026)(314, 1127)(315, 1027)(316, 1029)(317, 1125)(318, 1030)(319, 1032)(320, 1124)(321, 1033)(322, 1034)(323, 1036)(324, 1038)(325, 1040)(326, 1139)(327, 1065)(328, 1137)(329, 1057)(330, 1142)(331, 1136)(332, 1143)(333, 1144)(334, 1133)(335, 1059)(336, 1056)(337, 1131)(338, 1054)(339, 1145)(340, 1068)(341, 1135)(342, 1058)(343, 1060)(344, 1141)(345, 1061)(346, 1063)(347, 1064)(348, 1073)(349, 1066)(350, 1070)(351, 1067)(352, 1130)(353, 1138)(354, 1132)(355, 1146)(356, 1085)(357, 1082)(358, 1110)(359, 1080)(360, 1149)(361, 1094)(362, 1114)(363, 1084)(364, 1086)(365, 1120)(366, 1087)(367, 1089)(368, 1090)(369, 1099)(370, 1092)(371, 1096)(372, 1093)(373, 1109)(374, 1117)(375, 1111)(376, 1150)(377, 1151)(378, 1152)(379, 1113)(380, 1119)(381, 1147)(382, 1148)(383, 1134)(384, 1140)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 6, 32 ), ( 6, 32, 6, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.3179
Graph:: simple bipartite
	v = 576 e = 768 f = 152
	degree seq :: [ 2^384, 4^192 ]

E21.3181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|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^-1 * Y3^-1)^3, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1, Y1^16, Y1^-4 * Y3 * Y1^3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^-4 * Y3^-1, Y3 * Y1^4 * Y3 * Y1^-5 * Y3 * Y1^4 * Y3^-1 * Y1^-7 ]
Map:: polytopal
	R = (1, 385, 2, 386, 5, 389, 11, 395, 21, 405, 37, 421, 63, 447, 97, 481, 141, 525, 140, 524, 96, 480, 62, 446, 36, 420, 20, 404, 10, 394, 4, 388)(3, 387, 7, 391, 15, 399, 27, 411, 47, 431, 79, 463, 115, 499, 167, 551, 217, 601, 179, 563, 127, 511, 87, 471, 54, 438, 31, 415, 17, 401, 8, 392)(6, 390, 13, 397, 25, 409, 43, 427, 73, 457, 109, 493, 157, 541, 209, 593, 270, 654, 216, 600, 166, 550, 114, 498, 78, 462, 46, 430, 26, 410, 14, 398)(9, 393, 18, 402, 32, 416, 55, 439, 88, 472, 128, 512, 180, 564, 234, 618, 293, 677, 227, 611, 175, 559, 122, 506, 84, 468, 51, 435, 29, 413, 16, 400)(12, 396, 23, 407, 41, 425, 69, 453, 105, 489, 152, 536, 205, 589, 265, 649, 325, 709, 269, 653, 208, 592, 156, 540, 108, 492, 72, 456, 42, 426, 24, 408)(19, 403, 34, 418, 58, 442, 91, 475, 133, 517, 184, 568, 241, 625, 301, 685, 331, 715, 276, 660, 212, 596, 161, 545, 111, 495, 74, 458, 57, 441, 33, 417)(22, 406, 39, 423, 67, 451, 53, 437, 85, 469, 123, 507, 176, 560, 228, 612, 294, 678, 324, 708, 264, 648, 204, 588, 151, 535, 104, 488, 68, 452, 40, 424)(28, 412, 49, 433, 70, 454, 45, 429, 76, 460, 103, 487, 149, 533, 197, 581, 256, 640, 311, 695, 292, 676, 225, 609, 174, 558, 120, 504, 83, 467, 50, 434)(30, 414, 52, 436, 71, 455, 106, 490, 147, 531, 199, 583, 254, 638, 313, 697, 300, 684, 240, 624, 183, 567, 132, 516, 90, 474, 56, 440, 75, 459, 44, 428)(35, 419, 60, 444, 92, 476, 135, 519, 185, 569, 243, 627, 302, 686, 342, 726, 290, 674, 224, 608, 172, 556, 119, 503, 82, 466, 48, 432, 81, 465, 59, 443)(38, 422, 65, 449, 101, 485, 77, 461, 112, 496, 162, 546, 213, 597, 277, 661, 332, 716, 365, 749, 321, 705, 261, 645, 201, 585, 148, 532, 102, 486, 66, 450)(61, 445, 94, 478, 136, 520, 187, 571, 244, 628, 304, 688, 352, 736, 372, 756, 330, 714, 274, 658, 211, 595, 158, 542, 131, 515, 89, 473, 130, 514, 93, 477)(64, 448, 99, 483, 145, 529, 107, 491, 154, 538, 126, 510, 177, 561, 230, 614, 295, 679, 345, 729, 362, 746, 318, 702, 258, 642, 198, 582, 146, 530, 100, 484)(80, 464, 117, 501, 153, 537, 121, 505, 163, 547, 113, 497, 164, 548, 203, 587, 262, 646, 317, 701, 360, 744, 340, 724, 289, 673, 222, 606, 171, 555, 118, 502)(86, 470, 125, 509, 155, 539, 206, 590, 260, 644, 319, 703, 358, 742, 351, 735, 299, 683, 238, 622, 182, 566, 129, 513, 160, 544, 110, 494, 159, 543, 124, 508)(95, 479, 138, 522, 188, 572, 246, 630, 305, 689, 354, 738, 379, 763, 339, 723, 287, 671, 221, 605, 170, 554, 116, 500, 169, 553, 134, 518, 173, 557, 137, 521)(98, 482, 143, 527, 195, 579, 150, 534, 202, 586, 165, 549, 214, 598, 279, 663, 333, 717, 375, 759, 381, 765, 359, 743, 315, 699, 255, 639, 196, 580, 144, 528)(139, 523, 190, 574, 247, 631, 307, 691, 355, 739, 361, 745, 382, 766, 367, 751, 329, 713, 271, 655, 237, 621, 181, 565, 236, 620, 186, 570, 239, 623, 189, 573)(142, 526, 193, 577, 252, 636, 200, 584, 259, 643, 207, 591, 267, 651, 233, 617, 296, 680, 347, 731, 377, 761, 353, 737, 356, 740, 312, 696, 253, 637, 194, 578)(168, 552, 219, 603, 266, 650, 223, 607, 278, 662, 226, 610, 280, 664, 215, 599, 281, 665, 323, 707, 366, 750, 383, 767, 378, 762, 337, 721, 286, 670, 220, 604)(178, 562, 232, 616, 268, 652, 326, 710, 364, 748, 384, 768, 380, 764, 349, 733, 298, 682, 235, 619, 273, 657, 210, 594, 272, 656, 229, 613, 275, 659, 231, 615)(191, 575, 249, 633, 308, 692, 314, 698, 357, 741, 320, 704, 363, 747, 327, 711, 285, 669, 218, 602, 284, 668, 242, 626, 288, 672, 245, 629, 291, 675, 248, 632)(192, 576, 250, 634, 309, 693, 257, 641, 316, 700, 263, 647, 322, 706, 282, 666, 334, 718, 297, 681, 348, 732, 303, 687, 350, 734, 306, 690, 310, 694, 251, 635)(283, 667, 335, 719, 368, 752, 338, 722, 374, 758, 341, 725, 376, 760, 343, 727, 370, 754, 328, 712, 369, 753, 344, 728, 371, 755, 346, 730, 373, 757, 336, 720)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 769)(4, 777)(5, 780)(6, 770)(7, 784)(8, 781)(9, 772)(10, 787)(11, 790)(12, 773)(13, 776)(14, 791)(15, 796)(16, 775)(17, 798)(18, 801)(19, 778)(20, 803)(21, 806)(22, 779)(23, 782)(24, 807)(25, 812)(26, 813)(27, 816)(28, 783)(29, 817)(30, 785)(31, 821)(32, 824)(33, 786)(34, 827)(35, 788)(36, 829)(37, 832)(38, 789)(39, 792)(40, 833)(41, 838)(42, 839)(43, 842)(44, 793)(45, 794)(46, 845)(47, 848)(48, 795)(49, 797)(50, 849)(51, 837)(52, 835)(53, 799)(54, 854)(55, 857)(56, 800)(57, 843)(58, 851)(59, 802)(60, 861)(61, 804)(62, 863)(63, 866)(64, 805)(65, 808)(66, 867)(67, 820)(68, 871)(69, 819)(70, 809)(71, 810)(72, 875)(73, 878)(74, 811)(75, 825)(76, 869)(77, 814)(78, 881)(79, 884)(80, 815)(81, 818)(82, 885)(83, 826)(84, 889)(85, 892)(86, 822)(87, 894)(88, 897)(89, 823)(90, 898)(91, 902)(92, 900)(93, 828)(94, 905)(95, 830)(96, 907)(97, 910)(98, 831)(99, 834)(100, 911)(101, 844)(102, 915)(103, 836)(104, 918)(105, 921)(106, 913)(107, 840)(108, 923)(109, 926)(110, 841)(111, 927)(112, 931)(113, 846)(114, 933)(115, 936)(116, 847)(117, 850)(118, 937)(119, 920)(120, 941)(121, 852)(122, 930)(123, 929)(124, 853)(125, 922)(126, 855)(127, 946)(128, 949)(129, 856)(130, 858)(131, 928)(132, 860)(133, 939)(134, 859)(135, 954)(136, 942)(137, 862)(138, 957)(139, 864)(140, 959)(141, 960)(142, 865)(143, 868)(144, 961)(145, 874)(146, 965)(147, 870)(148, 968)(149, 963)(150, 872)(151, 971)(152, 887)(153, 873)(154, 893)(155, 876)(156, 975)(157, 978)(158, 877)(159, 879)(160, 899)(161, 891)(162, 890)(163, 880)(164, 970)(165, 882)(166, 983)(167, 986)(168, 883)(169, 886)(170, 987)(171, 901)(172, 991)(173, 888)(174, 904)(175, 994)(176, 997)(177, 999)(178, 895)(179, 1001)(180, 1003)(181, 896)(182, 1004)(183, 1007)(184, 1010)(185, 1006)(186, 903)(187, 1013)(188, 1008)(189, 906)(190, 1016)(191, 908)(192, 909)(193, 912)(194, 1018)(195, 917)(196, 1022)(197, 914)(198, 1025)(199, 1020)(200, 916)(201, 1028)(202, 932)(203, 919)(204, 1031)(205, 1034)(206, 1027)(207, 924)(208, 1036)(209, 1039)(210, 925)(211, 1040)(212, 1043)(213, 1046)(214, 1048)(215, 934)(216, 1050)(217, 1051)(218, 935)(219, 938)(220, 1052)(221, 1033)(222, 1056)(223, 940)(224, 1045)(225, 1059)(226, 943)(227, 1047)(228, 1042)(229, 944)(230, 1044)(231, 945)(232, 1035)(233, 947)(234, 1065)(235, 948)(236, 950)(237, 1041)(238, 953)(239, 951)(240, 956)(241, 1054)(242, 952)(243, 1071)(244, 1057)(245, 955)(246, 1074)(247, 1060)(248, 958)(249, 1019)(250, 962)(251, 1017)(252, 967)(253, 1079)(254, 964)(255, 1082)(256, 1077)(257, 966)(258, 1085)(259, 974)(260, 969)(261, 1088)(262, 1084)(263, 972)(264, 1091)(265, 989)(266, 973)(267, 1000)(268, 976)(269, 1095)(270, 1096)(271, 977)(272, 979)(273, 1005)(274, 996)(275, 980)(276, 998)(277, 992)(278, 981)(279, 995)(280, 982)(281, 1090)(282, 984)(283, 985)(284, 988)(285, 1103)(286, 1009)(287, 1106)(288, 990)(289, 1012)(290, 1109)(291, 993)(292, 1015)(293, 1111)(294, 1112)(295, 1114)(296, 1104)(297, 1002)(298, 1116)(299, 1118)(300, 1078)(301, 1115)(302, 1117)(303, 1011)(304, 1121)(305, 1119)(306, 1014)(307, 1080)(308, 1081)(309, 1024)(310, 1068)(311, 1021)(312, 1075)(313, 1076)(314, 1023)(315, 1126)(316, 1030)(317, 1026)(318, 1129)(319, 1125)(320, 1029)(321, 1132)(322, 1049)(323, 1032)(324, 1135)(325, 1136)(326, 1131)(327, 1037)(328, 1038)(329, 1137)(330, 1139)(331, 1141)(332, 1142)(333, 1144)(334, 1138)(335, 1053)(336, 1064)(337, 1145)(338, 1055)(339, 1133)(340, 1124)(341, 1058)(342, 1143)(343, 1061)(344, 1062)(345, 1140)(346, 1063)(347, 1069)(348, 1066)(349, 1070)(350, 1067)(351, 1073)(352, 1146)(353, 1072)(354, 1127)(355, 1128)(356, 1108)(357, 1087)(358, 1083)(359, 1122)(360, 1123)(361, 1086)(362, 1151)(363, 1094)(364, 1089)(365, 1107)(366, 1150)(367, 1092)(368, 1093)(369, 1097)(370, 1102)(371, 1098)(372, 1113)(373, 1099)(374, 1100)(375, 1110)(376, 1101)(377, 1105)(378, 1120)(379, 1152)(380, 1149)(381, 1148)(382, 1134)(383, 1130)(384, 1147)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3178
Graph:: simple bipartite
	v = 408 e = 768 f = 320
	degree seq :: [ 2^384, 32^24 ]

E21.3182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^3, (Y3 * Y2^-1)^3, Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2^16, (Y2^-1 * Y1 * Y2^7 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 11, 395)(6, 390, 13, 397)(8, 392, 16, 400)(10, 394, 19, 403)(12, 396, 22, 406)(14, 398, 25, 409)(15, 399, 27, 411)(17, 401, 30, 414)(18, 402, 32, 416)(20, 404, 35, 419)(21, 405, 37, 421)(23, 407, 40, 424)(24, 408, 42, 426)(26, 410, 45, 429)(28, 412, 48, 432)(29, 413, 50, 434)(31, 415, 53, 437)(33, 417, 56, 440)(34, 418, 58, 442)(36, 420, 61, 445)(38, 422, 64, 448)(39, 423, 66, 450)(41, 425, 69, 453)(43, 427, 72, 456)(44, 428, 74, 458)(46, 430, 77, 461)(47, 431, 63, 447)(49, 433, 80, 464)(51, 435, 75, 459)(52, 436, 83, 467)(54, 438, 86, 470)(55, 439, 71, 455)(57, 441, 89, 473)(59, 443, 67, 451)(60, 444, 92, 476)(62, 446, 95, 479)(65, 449, 98, 482)(68, 452, 101, 485)(70, 454, 104, 488)(73, 457, 107, 491)(76, 460, 110, 494)(78, 462, 113, 497)(79, 463, 115, 499)(81, 465, 118, 502)(82, 466, 120, 504)(84, 468, 116, 500)(85, 469, 123, 507)(87, 471, 126, 510)(88, 472, 128, 512)(90, 474, 131, 515)(91, 475, 133, 517)(93, 477, 129, 513)(94, 478, 136, 520)(96, 480, 139, 523)(97, 481, 141, 525)(99, 483, 144, 528)(100, 484, 146, 530)(102, 486, 142, 526)(103, 487, 149, 533)(105, 489, 152, 536)(106, 490, 154, 538)(108, 492, 157, 541)(109, 493, 159, 543)(111, 495, 155, 539)(112, 496, 162, 546)(114, 498, 165, 549)(117, 501, 143, 527)(119, 503, 169, 553)(121, 505, 163, 547)(122, 506, 172, 556)(124, 508, 160, 544)(125, 509, 175, 559)(127, 511, 178, 562)(130, 514, 156, 540)(132, 516, 182, 566)(134, 518, 150, 534)(135, 519, 185, 569)(137, 521, 147, 531)(138, 522, 188, 572)(140, 524, 191, 575)(145, 529, 194, 578)(148, 532, 197, 581)(151, 535, 200, 584)(153, 537, 203, 587)(158, 542, 207, 591)(161, 545, 210, 594)(164, 548, 213, 597)(166, 550, 216, 600)(167, 551, 217, 601)(168, 552, 219, 603)(170, 554, 222, 606)(171, 555, 224, 608)(173, 557, 220, 604)(174, 558, 227, 611)(176, 560, 218, 602)(177, 561, 230, 614)(179, 563, 233, 617)(180, 564, 234, 618)(181, 565, 236, 620)(183, 567, 239, 623)(184, 568, 241, 625)(186, 570, 237, 621)(187, 571, 244, 628)(189, 573, 235, 619)(190, 574, 247, 631)(192, 576, 250, 634)(193, 577, 252, 636)(195, 579, 255, 639)(196, 580, 257, 641)(198, 582, 253, 637)(199, 583, 260, 644)(201, 585, 251, 635)(202, 586, 263, 647)(204, 588, 266, 650)(205, 589, 267, 651)(206, 590, 269, 653)(208, 592, 272, 656)(209, 593, 274, 658)(211, 595, 270, 654)(212, 596, 277, 661)(214, 598, 268, 652)(215, 599, 280, 664)(221, 605, 254, 638)(223, 607, 286, 670)(225, 609, 281, 665)(226, 610, 288, 672)(228, 612, 278, 662)(229, 613, 291, 675)(231, 615, 275, 659)(232, 616, 294, 678)(238, 622, 271, 655)(240, 624, 300, 684)(242, 626, 264, 648)(243, 627, 302, 686)(245, 629, 261, 645)(246, 630, 305, 689)(248, 632, 258, 642)(249, 633, 296, 680)(256, 640, 312, 696)(259, 643, 314, 698)(262, 646, 317, 701)(265, 649, 320, 704)(273, 657, 326, 710)(276, 660, 328, 712)(279, 663, 331, 715)(282, 666, 322, 706)(283, 667, 335, 719)(284, 668, 336, 720)(285, 669, 338, 722)(287, 671, 321, 705)(289, 673, 339, 723)(290, 674, 341, 725)(292, 676, 337, 721)(293, 677, 344, 728)(295, 679, 313, 697)(297, 681, 347, 731)(298, 682, 348, 732)(299, 683, 350, 734)(301, 685, 334, 718)(303, 687, 351, 735)(304, 688, 352, 736)(306, 690, 349, 733)(307, 691, 346, 730)(308, 692, 327, 711)(309, 693, 356, 740)(310, 694, 357, 741)(311, 695, 359, 743)(315, 699, 360, 744)(316, 700, 362, 746)(318, 702, 358, 742)(319, 703, 365, 749)(323, 707, 368, 752)(324, 708, 369, 753)(325, 709, 371, 755)(329, 713, 372, 756)(330, 714, 373, 757)(332, 716, 370, 754)(333, 717, 367, 751)(340, 724, 361, 745)(342, 726, 376, 760)(343, 727, 378, 762)(345, 729, 374, 758)(353, 737, 366, 750)(354, 738, 379, 763)(355, 739, 363, 747)(364, 748, 382, 766)(375, 759, 383, 767)(377, 761, 384, 768)(380, 764, 381, 765)(769, 1153, 771, 1155, 776, 1160, 785, 1169, 799, 1183, 822, 1206, 855, 1239, 895, 1279, 947, 1331, 908, 1292, 864, 1248, 830, 1214, 804, 1188, 788, 1172, 778, 1162, 772, 1156)(770, 1154, 773, 1157, 780, 1164, 791, 1175, 809, 1193, 838, 1222, 873, 1257, 921, 1305, 972, 1356, 934, 1318, 882, 1266, 846, 1230, 814, 1198, 794, 1178, 782, 1166, 774, 1158)(775, 1159, 781, 1165, 792, 1176, 811, 1195, 841, 1225, 876, 1260, 926, 1310, 976, 1360, 1041, 1425, 991, 1375, 938, 1322, 887, 1271, 849, 1233, 817, 1201, 796, 1180, 783, 1167)(777, 1161, 786, 1170, 801, 1185, 825, 1209, 858, 1242, 900, 1284, 951, 1335, 1008, 1392, 1024, 1408, 963, 1347, 913, 1297, 867, 1251, 833, 1217, 806, 1190, 789, 1173, 779, 1163)(784, 1168, 795, 1179, 815, 1199, 832, 1216, 865, 1249, 910, 1294, 960, 1344, 1019, 1403, 1077, 1461, 1055, 1439, 993, 1377, 939, 1323, 889, 1273, 850, 1234, 819, 1203, 797, 1181)(787, 1171, 802, 1186, 827, 1211, 859, 1243, 902, 1286, 952, 1336, 1010, 1394, 1069, 1453, 1091, 1475, 1036, 1420, 973, 1357, 923, 1307, 874, 1258, 840, 1224, 823, 1207, 800, 1184)(790, 1174, 805, 1189, 831, 1215, 816, 1200, 847, 1231, 884, 1268, 935, 1319, 986, 1370, 1051, 1435, 1081, 1465, 1026, 1410, 964, 1348, 915, 1299, 868, 1252, 835, 1219, 807, 1191)(793, 1177, 812, 1196, 843, 1227, 877, 1261, 928, 1312, 977, 1361, 1043, 1427, 1095, 1479, 1065, 1449, 1003, 1387, 948, 1332, 897, 1281, 856, 1240, 824, 1208, 839, 1223, 810, 1194)(798, 1182, 818, 1202, 842, 1226, 813, 1197, 844, 1228, 879, 1263, 929, 1313, 979, 1363, 1044, 1428, 1097, 1481, 1057, 1441, 994, 1378, 941, 1325, 890, 1274, 852, 1236, 820, 1204)(803, 1187, 828, 1212, 861, 1245, 903, 1287, 954, 1338, 1011, 1395, 1071, 1455, 1083, 1467, 1027, 1411, 966, 1350, 916, 1300, 870, 1254, 836, 1220, 808, 1192, 834, 1218, 826, 1210)(821, 1205, 851, 1235, 883, 1267, 848, 1232, 885, 1269, 912, 1296, 961, 1345, 1021, 1405, 1078, 1462, 1126, 1510, 1110, 1494, 1058, 1442, 996, 1380, 942, 1326, 892, 1276, 853, 1237)(829, 1213, 862, 1246, 905, 1289, 955, 1339, 1013, 1397, 1072, 1456, 1121, 1505, 1138, 1522, 1092, 1476, 1038, 1422, 974, 1358, 925, 1309, 898, 1282, 857, 1241, 896, 1280, 860, 1244)(837, 1221, 869, 1253, 909, 1293, 866, 1250, 911, 1295, 886, 1270, 936, 1320, 988, 1372, 1052, 1436, 1105, 1489, 1131, 1515, 1084, 1468, 1029, 1413, 967, 1351, 918, 1302, 871, 1255)(845, 1229, 880, 1264, 931, 1315, 980, 1364, 1046, 1430, 1098, 1482, 1142, 1526, 1117, 1501, 1066, 1450, 1005, 1389, 949, 1333, 899, 1283, 924, 1308, 875, 1259, 922, 1306, 878, 1262)(854, 1238, 891, 1275, 927, 1311, 888, 1272, 930, 1314, 881, 1265, 932, 1316, 982, 1366, 1047, 1431, 1100, 1484, 1143, 1527, 1111, 1495, 1060, 1444, 997, 1381, 944, 1328, 893, 1277)(863, 1247, 906, 1290, 957, 1341, 1014, 1398, 1074, 1458, 1122, 1506, 1132, 1516, 1086, 1470, 1030, 1414, 969, 1353, 919, 1303, 872, 1256, 917, 1301, 901, 1285, 914, 1298, 904, 1288)(894, 1278, 943, 1327, 985, 1369, 940, 1324, 987, 1371, 937, 1321, 989, 1373, 1023, 1407, 1079, 1463, 1128, 1512, 1149, 1533, 1147, 1531, 1113, 1497, 1061, 1445, 999, 1383, 945, 1329)(907, 1291, 958, 1342, 1016, 1400, 1075, 1459, 1123, 1507, 1146, 1530, 1152, 1536, 1140, 1524, 1093, 1477, 1040, 1424, 1006, 1390, 950, 1334, 1004, 1388, 953, 1337, 1002, 1386, 956, 1340)(920, 1304, 968, 1352, 1018, 1402, 965, 1349, 1020, 1404, 962, 1346, 1022, 1406, 990, 1374, 1053, 1437, 1107, 1491, 1145, 1529, 1151, 1535, 1134, 1518, 1087, 1471, 1032, 1416, 970, 1354)(933, 1317, 983, 1367, 1049, 1433, 1101, 1485, 1144, 1528, 1150, 1534, 1148, 1532, 1119, 1503, 1067, 1451, 1007, 1391, 1039, 1423, 975, 1359, 1037, 1421, 978, 1362, 1035, 1419, 981, 1365)(946, 1330, 998, 1382, 1042, 1426, 995, 1379, 1045, 1429, 992, 1376, 1048, 1432, 984, 1368, 1050, 1434, 1102, 1486, 1133, 1517, 1120, 1504, 1130, 1514, 1114, 1498, 1063, 1447, 1000, 1384)(959, 1343, 1017, 1401, 1076, 1460, 1112, 1496, 1141, 1525, 1109, 1493, 1135, 1519, 1089, 1473, 1033, 1417, 971, 1355, 1031, 1415, 1009, 1393, 1028, 1412, 1012, 1396, 1025, 1409, 1015, 1399)(1001, 1385, 1062, 1446, 1103, 1487, 1059, 1443, 1104, 1488, 1056, 1440, 1106, 1490, 1054, 1438, 1108, 1492, 1068, 1452, 1118, 1502, 1070, 1454, 1116, 1500, 1073, 1457, 1115, 1499, 1064, 1448)(1034, 1418, 1088, 1472, 1124, 1508, 1085, 1469, 1125, 1509, 1082, 1466, 1127, 1511, 1080, 1464, 1129, 1513, 1094, 1478, 1139, 1523, 1096, 1480, 1137, 1521, 1099, 1483, 1136, 1520, 1090, 1474)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 779)(6, 781)(7, 771)(8, 784)(9, 772)(10, 787)(11, 773)(12, 790)(13, 774)(14, 793)(15, 795)(16, 776)(17, 798)(18, 800)(19, 778)(20, 803)(21, 805)(22, 780)(23, 808)(24, 810)(25, 782)(26, 813)(27, 783)(28, 816)(29, 818)(30, 785)(31, 821)(32, 786)(33, 824)(34, 826)(35, 788)(36, 829)(37, 789)(38, 832)(39, 834)(40, 791)(41, 837)(42, 792)(43, 840)(44, 842)(45, 794)(46, 845)(47, 831)(48, 796)(49, 848)(50, 797)(51, 843)(52, 851)(53, 799)(54, 854)(55, 839)(56, 801)(57, 857)(58, 802)(59, 835)(60, 860)(61, 804)(62, 863)(63, 815)(64, 806)(65, 866)(66, 807)(67, 827)(68, 869)(69, 809)(70, 872)(71, 823)(72, 811)(73, 875)(74, 812)(75, 819)(76, 878)(77, 814)(78, 881)(79, 883)(80, 817)(81, 886)(82, 888)(83, 820)(84, 884)(85, 891)(86, 822)(87, 894)(88, 896)(89, 825)(90, 899)(91, 901)(92, 828)(93, 897)(94, 904)(95, 830)(96, 907)(97, 909)(98, 833)(99, 912)(100, 914)(101, 836)(102, 910)(103, 917)(104, 838)(105, 920)(106, 922)(107, 841)(108, 925)(109, 927)(110, 844)(111, 923)(112, 930)(113, 846)(114, 933)(115, 847)(116, 852)(117, 911)(118, 849)(119, 937)(120, 850)(121, 931)(122, 940)(123, 853)(124, 928)(125, 943)(126, 855)(127, 946)(128, 856)(129, 861)(130, 924)(131, 858)(132, 950)(133, 859)(134, 918)(135, 953)(136, 862)(137, 915)(138, 956)(139, 864)(140, 959)(141, 865)(142, 870)(143, 885)(144, 867)(145, 962)(146, 868)(147, 905)(148, 965)(149, 871)(150, 902)(151, 968)(152, 873)(153, 971)(154, 874)(155, 879)(156, 898)(157, 876)(158, 975)(159, 877)(160, 892)(161, 978)(162, 880)(163, 889)(164, 981)(165, 882)(166, 984)(167, 985)(168, 987)(169, 887)(170, 990)(171, 992)(172, 890)(173, 988)(174, 995)(175, 893)(176, 986)(177, 998)(178, 895)(179, 1001)(180, 1002)(181, 1004)(182, 900)(183, 1007)(184, 1009)(185, 903)(186, 1005)(187, 1012)(188, 906)(189, 1003)(190, 1015)(191, 908)(192, 1018)(193, 1020)(194, 913)(195, 1023)(196, 1025)(197, 916)(198, 1021)(199, 1028)(200, 919)(201, 1019)(202, 1031)(203, 921)(204, 1034)(205, 1035)(206, 1037)(207, 926)(208, 1040)(209, 1042)(210, 929)(211, 1038)(212, 1045)(213, 932)(214, 1036)(215, 1048)(216, 934)(217, 935)(218, 944)(219, 936)(220, 941)(221, 1022)(222, 938)(223, 1054)(224, 939)(225, 1049)(226, 1056)(227, 942)(228, 1046)(229, 1059)(230, 945)(231, 1043)(232, 1062)(233, 947)(234, 948)(235, 957)(236, 949)(237, 954)(238, 1039)(239, 951)(240, 1068)(241, 952)(242, 1032)(243, 1070)(244, 955)(245, 1029)(246, 1073)(247, 958)(248, 1026)(249, 1064)(250, 960)(251, 969)(252, 961)(253, 966)(254, 989)(255, 963)(256, 1080)(257, 964)(258, 1016)(259, 1082)(260, 967)(261, 1013)(262, 1085)(263, 970)(264, 1010)(265, 1088)(266, 972)(267, 973)(268, 982)(269, 974)(270, 979)(271, 1006)(272, 976)(273, 1094)(274, 977)(275, 999)(276, 1096)(277, 980)(278, 996)(279, 1099)(280, 983)(281, 993)(282, 1090)(283, 1103)(284, 1104)(285, 1106)(286, 991)(287, 1089)(288, 994)(289, 1107)(290, 1109)(291, 997)(292, 1105)(293, 1112)(294, 1000)(295, 1081)(296, 1017)(297, 1115)(298, 1116)(299, 1118)(300, 1008)(301, 1102)(302, 1011)(303, 1119)(304, 1120)(305, 1014)(306, 1117)(307, 1114)(308, 1095)(309, 1124)(310, 1125)(311, 1127)(312, 1024)(313, 1063)(314, 1027)(315, 1128)(316, 1130)(317, 1030)(318, 1126)(319, 1133)(320, 1033)(321, 1055)(322, 1050)(323, 1136)(324, 1137)(325, 1139)(326, 1041)(327, 1076)(328, 1044)(329, 1140)(330, 1141)(331, 1047)(332, 1138)(333, 1135)(334, 1069)(335, 1051)(336, 1052)(337, 1060)(338, 1053)(339, 1057)(340, 1129)(341, 1058)(342, 1144)(343, 1146)(344, 1061)(345, 1142)(346, 1075)(347, 1065)(348, 1066)(349, 1074)(350, 1067)(351, 1071)(352, 1072)(353, 1134)(354, 1147)(355, 1131)(356, 1077)(357, 1078)(358, 1086)(359, 1079)(360, 1083)(361, 1108)(362, 1084)(363, 1123)(364, 1150)(365, 1087)(366, 1121)(367, 1101)(368, 1091)(369, 1092)(370, 1100)(371, 1093)(372, 1097)(373, 1098)(374, 1113)(375, 1151)(376, 1110)(377, 1152)(378, 1111)(379, 1122)(380, 1149)(381, 1148)(382, 1132)(383, 1143)(384, 1145)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 ) }
Outer automorphisms :: reflexible
Dual of E21.3183
Graph:: bipartite
	v = 216 e = 768 f = 512
	degree seq :: [ 4^192, 32^24 ]

E21.3183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 16})
Quotient :: dipole
Aut^+ = $<384, 568>$ (small group id <384, 568>)
Aut   = $<768, 1085833>$ (small group id <768, 1085833>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^2 * Y1^-1, (Y3^2 * Y1^-1)^3, Y3^-2 * Y1^-1 * Y3^9 * Y1 * Y3^-1 * Y1 * Y3^5 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^16 ]
Map:: polytopal
	R = (1, 385, 2, 386, 4, 388)(3, 387, 8, 392, 10, 394)(5, 389, 12, 396, 6, 390)(7, 391, 15, 399, 11, 395)(9, 393, 18, 402, 20, 404)(13, 397, 25, 409, 23, 407)(14, 398, 24, 408, 28, 412)(16, 400, 31, 415, 29, 413)(17, 401, 33, 417, 21, 405)(19, 403, 36, 420, 38, 422)(22, 406, 30, 414, 42, 426)(26, 410, 47, 431, 45, 429)(27, 411, 49, 433, 51, 435)(32, 416, 56, 440, 55, 439)(34, 418, 59, 443, 58, 442)(35, 419, 53, 437, 39, 423)(37, 421, 63, 447, 65, 449)(40, 424, 52, 436, 44, 428)(41, 425, 68, 452, 70, 454)(43, 427, 46, 430, 54, 438)(48, 432, 76, 460, 74, 458)(50, 434, 79, 463, 81, 465)(57, 441, 87, 471, 85, 469)(60, 444, 91, 475, 90, 474)(61, 445, 93, 477, 82, 466)(62, 446, 89, 473, 66, 450)(64, 448, 97, 481, 99, 483)(67, 451, 72, 456, 102, 486)(69, 453, 104, 488, 106, 490)(71, 455, 83, 467, 108, 492)(73, 457, 75, 459, 78, 462)(77, 461, 114, 498, 112, 496)(80, 464, 118, 502, 120, 504)(84, 468, 86, 470, 103, 487)(88, 472, 128, 512, 126, 510)(92, 476, 134, 518, 132, 516)(94, 478, 125, 509, 127, 511)(95, 479, 137, 521, 130, 514)(96, 480, 122, 506, 100, 484)(98, 482, 141, 525, 143, 527)(101, 485, 121, 505, 117, 501)(105, 489, 148, 532, 150, 534)(107, 491, 151, 535, 147, 531)(109, 493, 131, 515, 133, 517)(110, 494, 116, 500, 155, 539)(111, 495, 113, 497, 123, 507)(115, 499, 160, 544, 158, 542)(119, 503, 165, 549, 167, 551)(124, 508, 146, 530, 172, 556)(129, 513, 177, 561, 175, 559)(135, 519, 184, 568, 182, 566)(136, 520, 186, 570, 173, 557)(138, 522, 181, 565, 183, 567)(139, 523, 189, 573, 169, 553)(140, 524, 179, 563, 144, 528)(142, 526, 193, 577, 195, 579)(145, 529, 163, 547, 198, 582)(149, 533, 202, 586, 204, 588)(152, 536, 200, 584, 207, 591)(153, 537, 208, 592, 180, 564)(154, 538, 168, 552, 164, 548)(156, 540, 170, 554, 212, 596)(157, 541, 159, 543, 162, 546)(161, 545, 217, 601, 215, 599)(166, 550, 222, 606, 224, 608)(171, 555, 205, 589, 201, 585)(174, 558, 176, 560, 199, 583)(178, 562, 234, 618, 232, 616)(185, 569, 241, 625, 239, 623)(187, 571, 231, 615, 233, 617)(188, 572, 245, 629, 237, 621)(190, 574, 229, 613, 243, 627)(191, 575, 248, 632, 235, 619)(192, 576, 226, 610, 196, 580)(194, 578, 252, 636, 253, 637)(197, 581, 225, 609, 221, 605)(203, 587, 261, 645, 262, 646)(206, 590, 263, 647, 260, 644)(209, 593, 238, 622, 240, 624)(210, 594, 220, 604, 268, 652)(211, 595, 265, 649, 258, 642)(213, 597, 218, 602, 271, 655)(214, 598, 216, 600, 227, 611)(219, 603, 236, 620, 256, 640)(223, 607, 280, 664, 281, 665)(228, 612, 259, 643, 286, 670)(230, 614, 257, 641, 289, 673)(242, 626, 300, 684, 298, 682)(244, 628, 301, 685, 290, 674)(246, 630, 297, 681, 299, 683)(247, 631, 305, 689, 287, 671)(249, 633, 295, 679, 303, 687)(250, 634, 308, 692, 283, 667)(251, 635, 293, 677, 254, 638)(255, 639, 278, 662, 313, 697)(264, 648, 317, 701, 321, 705)(266, 650, 322, 706, 296, 680)(267, 651, 282, 666, 279, 663)(269, 653, 315, 699, 326, 710)(270, 654, 324, 708, 277, 661)(272, 656, 284, 668, 329, 713)(273, 657, 274, 658, 275, 659)(276, 660, 332, 716, 294, 678)(285, 669, 319, 703, 318, 702)(288, 672, 340, 724, 316, 700)(291, 675, 292, 676, 314, 698)(302, 686, 338, 722, 337, 721)(304, 688, 352, 736, 348, 732)(306, 690, 343, 727, 351, 735)(307, 691, 355, 739, 346, 730)(309, 693, 341, 725, 353, 737)(310, 694, 330, 714, 331, 715)(311, 695, 339, 723, 312, 696)(320, 704, 349, 733, 350, 734)(323, 707, 336, 720, 344, 728)(325, 709, 363, 747, 362, 746)(327, 711, 334, 718, 368, 752)(328, 712, 366, 750, 360, 744)(333, 717, 347, 731, 364, 748)(335, 719, 345, 729, 359, 743)(342, 726, 361, 745, 375, 759)(354, 738, 372, 756, 376, 760)(356, 740, 379, 763, 380, 764)(357, 741, 369, 753, 374, 758)(358, 742, 371, 755, 370, 754)(365, 749, 382, 766, 378, 762)(367, 751, 377, 761, 373, 757)(381, 765, 384, 768, 383, 767)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 777)(4, 779)(5, 769)(6, 782)(7, 770)(8, 772)(9, 787)(10, 789)(11, 790)(12, 791)(13, 773)(14, 795)(15, 797)(16, 775)(17, 776)(18, 778)(19, 805)(20, 807)(21, 808)(22, 809)(23, 811)(24, 780)(25, 813)(26, 781)(27, 818)(28, 820)(29, 821)(30, 783)(31, 823)(32, 784)(33, 826)(34, 785)(35, 786)(36, 788)(37, 832)(38, 834)(39, 799)(40, 835)(41, 837)(42, 814)(43, 839)(44, 792)(45, 841)(46, 793)(47, 842)(48, 794)(49, 796)(50, 848)(51, 843)(52, 801)(53, 850)(54, 798)(55, 852)(56, 853)(57, 800)(58, 857)(59, 858)(60, 802)(61, 803)(62, 804)(63, 806)(64, 866)(65, 868)(66, 827)(67, 869)(68, 810)(69, 873)(70, 854)(71, 875)(72, 812)(73, 878)(74, 879)(75, 815)(76, 880)(77, 816)(78, 817)(79, 819)(80, 887)(81, 889)(82, 890)(83, 822)(84, 892)(85, 893)(86, 824)(87, 894)(88, 825)(89, 898)(90, 899)(91, 900)(92, 828)(93, 895)(94, 829)(95, 830)(96, 831)(97, 833)(98, 910)(99, 912)(100, 861)(101, 913)(102, 901)(103, 836)(104, 838)(105, 917)(106, 919)(107, 920)(108, 881)(109, 840)(110, 922)(111, 924)(112, 925)(113, 844)(114, 926)(115, 845)(116, 846)(117, 847)(118, 849)(119, 934)(120, 936)(121, 870)(122, 937)(123, 851)(124, 939)(125, 941)(126, 942)(127, 855)(128, 943)(129, 856)(130, 947)(131, 948)(132, 949)(133, 859)(134, 950)(135, 860)(136, 862)(137, 951)(138, 863)(139, 864)(140, 865)(141, 867)(142, 962)(143, 964)(144, 905)(145, 965)(146, 871)(147, 872)(148, 874)(149, 971)(150, 973)(151, 876)(152, 974)(153, 877)(154, 978)(155, 927)(156, 979)(157, 981)(158, 982)(159, 882)(160, 983)(161, 883)(162, 884)(163, 885)(164, 886)(165, 888)(166, 991)(167, 993)(168, 923)(169, 994)(170, 891)(171, 996)(172, 944)(173, 997)(174, 998)(175, 999)(176, 896)(177, 1000)(178, 897)(179, 1003)(180, 1004)(181, 1005)(182, 1006)(183, 902)(184, 1007)(185, 903)(186, 1001)(187, 904)(188, 906)(189, 1011)(190, 907)(191, 908)(192, 909)(193, 911)(194, 929)(195, 1022)(196, 957)(197, 1023)(198, 1024)(199, 914)(200, 915)(201, 916)(202, 918)(203, 1010)(204, 1031)(205, 940)(206, 1032)(207, 1033)(208, 1008)(209, 921)(210, 1035)(211, 1037)(212, 984)(213, 1038)(214, 1040)(215, 1041)(216, 928)(217, 1021)(218, 930)(219, 931)(220, 932)(221, 933)(222, 935)(223, 946)(224, 1050)(225, 966)(226, 1051)(227, 938)(228, 1053)(229, 1055)(230, 1056)(231, 1058)(232, 1059)(233, 945)(234, 1049)(235, 1061)(236, 1062)(237, 1063)(238, 1064)(239, 1065)(240, 952)(241, 1066)(242, 953)(243, 954)(244, 955)(245, 1067)(246, 956)(247, 958)(248, 1071)(249, 959)(250, 960)(251, 961)(252, 963)(253, 1080)(254, 1016)(255, 1070)(256, 976)(257, 967)(258, 968)(259, 969)(260, 970)(261, 972)(262, 1087)(263, 975)(264, 1088)(265, 980)(266, 977)(267, 1091)(268, 1092)(269, 1093)(270, 1095)(271, 1042)(272, 1096)(273, 1098)(274, 985)(275, 986)(276, 987)(277, 988)(278, 989)(279, 990)(280, 992)(281, 1106)(282, 1036)(283, 1107)(284, 995)(285, 1072)(286, 1108)(287, 1109)(288, 1110)(289, 1060)(290, 1111)(291, 1112)(292, 1002)(293, 1099)(294, 1113)(295, 1114)(296, 1115)(297, 1116)(298, 1117)(299, 1009)(300, 1030)(301, 1105)(302, 1012)(303, 1013)(304, 1014)(305, 1119)(306, 1015)(307, 1017)(308, 1121)(309, 1018)(310, 1019)(311, 1020)(312, 1076)(313, 1127)(314, 1025)(315, 1026)(316, 1027)(317, 1028)(318, 1029)(319, 1054)(320, 1034)(321, 1131)(322, 1118)(323, 1082)(324, 1039)(325, 1133)(326, 1134)(327, 1135)(328, 1137)(329, 1079)(330, 1138)(331, 1043)(332, 1132)(333, 1044)(334, 1045)(335, 1046)(336, 1047)(337, 1048)(338, 1081)(339, 1052)(340, 1057)(341, 1142)(342, 1124)(343, 1144)(344, 1145)(345, 1122)(346, 1139)(347, 1146)(348, 1147)(349, 1089)(350, 1068)(351, 1069)(352, 1086)(353, 1073)(354, 1074)(355, 1148)(356, 1075)(357, 1077)(358, 1078)(359, 1100)(360, 1083)(361, 1084)(362, 1085)(363, 1094)(364, 1090)(365, 1101)(366, 1097)(367, 1129)(368, 1126)(369, 1151)(370, 1123)(371, 1102)(372, 1103)(373, 1104)(374, 1128)(375, 1141)(376, 1152)(377, 1136)(378, 1149)(379, 1143)(380, 1120)(381, 1125)(382, 1130)(383, 1140)(384, 1150)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E21.3182
Graph:: simple bipartite
	v = 512 e = 768 f = 216
	degree seq :: [ 2^384, 6^128 ]

E21.3184 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T2 * T1^2 * T2 * T1^-2)^2, (T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 92, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 109, 68, 39)(22, 40, 69, 112, 72, 41)(27, 49, 83, 121, 75, 43)(30, 52, 89, 124, 77, 53)(34, 59, 99, 155, 101, 60)(36, 63, 104, 161, 106, 64)(44, 76, 122, 174, 114, 70)(47, 79, 127, 177, 116, 80)(50, 85, 62, 103, 136, 86)(51, 87, 137, 205, 140, 88)(55, 94, 147, 212, 142, 90)(58, 97, 152, 224, 154, 98)(65, 107, 113, 172, 166, 108)(67, 71, 115, 175, 169, 110)(74, 118, 180, 170, 111, 119)(78, 125, 188, 267, 191, 126)(81, 130, 195, 273, 193, 128)(84, 133, 200, 280, 202, 134)(91, 143, 213, 287, 206, 138)(93, 145, 216, 290, 208, 146)(95, 149, 96, 151, 222, 150)(100, 139, 207, 288, 229, 156)(102, 158, 218, 301, 232, 159)(105, 163, 237, 317, 233, 160)(117, 178, 253, 338, 255, 179)(120, 183, 259, 341, 257, 181)(123, 186, 264, 348, 266, 187)(129, 194, 274, 352, 268, 189)(131, 197, 132, 199, 278, 198)(135, 190, 269, 353, 283, 203)(141, 209, 256, 230, 157, 210)(144, 214, 296, 239, 164, 215)(148, 219, 302, 347, 265, 220)(153, 226, 309, 386, 305, 223)(162, 235, 320, 394, 315, 236)(165, 231, 314, 392, 323, 240)(167, 228, 312, 390, 324, 242)(168, 243, 325, 389, 311, 227)(171, 245, 327, 398, 328, 246)(173, 248, 330, 400, 329, 247)(176, 251, 335, 405, 337, 252)(182, 258, 342, 409, 339, 254)(184, 261, 185, 263, 346, 262)(192, 270, 241, 284, 204, 271)(196, 275, 360, 404, 336, 276)(201, 282, 238, 322, 363, 279)(211, 293, 376, 430, 374, 291)(217, 300, 331, 401, 379, 297)(221, 298, 380, 402, 345, 277)(225, 307, 340, 410, 362, 308)(234, 318, 396, 326, 244, 319)(249, 332, 250, 334, 403, 333)(260, 343, 413, 397, 321, 344)(272, 357, 304, 381, 299, 355)(281, 365, 399, 440, 415, 366)(285, 361, 423, 367, 407, 369)(286, 359, 416, 449, 421, 358)(289, 372, 428, 453, 429, 373)(292, 375, 431, 442, 417, 349)(294, 368, 295, 364, 425, 378)(303, 384, 310, 350, 414, 382)(306, 387, 436, 391, 313, 354)(316, 395, 439, 444, 406, 356)(351, 412, 443, 462, 447, 411)(370, 419, 371, 427, 445, 418)(377, 432, 457, 437, 388, 424)(383, 420, 451, 466, 452, 426)(385, 435, 458, 468, 454, 434)(393, 438, 459, 461, 441, 408)(422, 446, 464, 473, 465, 450)(433, 456, 467, 475, 469, 455)(448, 460, 471, 477, 472, 463)(470, 474, 478, 480, 479, 476)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 93)(56, 95)(57, 96)(59, 100)(60, 97)(61, 102)(64, 105)(66, 99)(68, 111)(69, 113)(72, 116)(73, 117)(75, 120)(76, 123)(79, 128)(80, 129)(82, 131)(83, 132)(85, 135)(86, 133)(87, 138)(88, 139)(89, 141)(92, 144)(94, 148)(98, 153)(101, 157)(103, 160)(104, 162)(106, 164)(107, 165)(108, 145)(109, 167)(110, 168)(112, 171)(114, 173)(115, 176)(118, 181)(119, 182)(121, 184)(122, 185)(124, 186)(125, 189)(126, 190)(127, 192)(130, 196)(134, 201)(136, 204)(137, 195)(140, 208)(142, 211)(143, 179)(146, 217)(147, 218)(149, 221)(150, 219)(151, 223)(152, 225)(154, 191)(155, 227)(156, 228)(158, 203)(159, 231)(161, 234)(163, 238)(166, 241)(169, 244)(170, 235)(172, 247)(174, 249)(175, 250)(177, 251)(178, 254)(180, 256)(183, 260)(187, 265)(188, 259)(193, 272)(194, 246)(197, 277)(198, 275)(199, 279)(200, 281)(202, 255)(205, 285)(206, 286)(207, 289)(209, 291)(210, 292)(212, 294)(213, 295)(214, 297)(215, 298)(216, 299)(220, 303)(222, 304)(224, 306)(226, 310)(229, 313)(230, 307)(232, 315)(233, 316)(236, 321)(237, 312)(239, 322)(240, 245)(242, 258)(243, 309)(248, 331)(252, 336)(253, 330)(257, 340)(261, 345)(262, 343)(263, 347)(264, 349)(266, 328)(267, 350)(268, 351)(269, 354)(270, 355)(271, 356)(273, 358)(274, 359)(276, 361)(278, 362)(280, 364)(282, 367)(283, 368)(284, 365)(287, 370)(288, 371)(290, 372)(293, 377)(296, 376)(300, 369)(301, 382)(302, 383)(305, 385)(308, 388)(311, 375)(314, 393)(317, 391)(318, 397)(319, 380)(320, 374)(323, 373)(324, 337)(325, 327)(326, 386)(329, 399)(332, 402)(333, 401)(334, 404)(335, 406)(338, 407)(339, 408)(341, 411)(342, 412)(344, 414)(346, 415)(348, 416)(352, 418)(353, 419)(357, 420)(360, 422)(363, 424)(366, 426)(378, 432)(379, 433)(381, 434)(384, 398)(387, 437)(389, 429)(390, 423)(392, 427)(394, 438)(395, 435)(396, 439)(400, 441)(403, 442)(405, 443)(409, 445)(410, 446)(413, 448)(417, 450)(421, 451)(425, 452)(428, 454)(430, 455)(431, 456)(436, 458)(440, 460)(444, 463)(447, 464)(449, 465)(453, 467)(457, 470)(459, 469)(461, 471)(462, 472)(466, 474)(468, 476)(473, 478)(475, 479)(477, 480)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3185
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 80 e = 240 f = 120
	degree seq :: [ 6^80 ]

E21.3185 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1)^6, (T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1)^2, (T1^-1 * T2 * T1^-1)^6, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 71, 112, 72)(45, 74, 117, 75)(46, 76, 96, 60)(47, 77, 121, 78)(52, 84, 131, 85)(61, 97, 150, 98)(63, 100, 155, 101)(64, 102, 135, 87)(66, 104, 161, 105)(67, 106, 164, 107)(68, 108, 167, 109)(73, 115, 176, 116)(80, 91, 141, 125)(81, 126, 191, 127)(83, 129, 196, 130)(88, 136, 206, 137)(90, 139, 211, 140)(93, 143, 217, 144)(94, 145, 220, 146)(95, 147, 223, 148)(99, 153, 230, 154)(103, 159, 198, 160)(111, 171, 218, 152)(113, 173, 253, 174)(114, 175, 240, 162)(118, 166, 236, 158)(119, 180, 261, 181)(120, 182, 264, 183)(122, 185, 266, 186)(123, 187, 269, 188)(124, 189, 270, 190)(128, 194, 275, 195)(132, 199, 279, 200)(133, 201, 282, 202)(134, 203, 285, 204)(138, 209, 292, 210)(142, 215, 184, 216)(149, 226, 280, 208)(151, 228, 310, 229)(156, 222, 298, 214)(157, 234, 317, 235)(163, 241, 295, 242)(165, 224, 289, 244)(168, 227, 309, 246)(169, 247, 331, 248)(170, 212, 284, 249)(172, 251, 283, 252)(177, 257, 339, 258)(178, 219, 302, 259)(179, 232, 281, 260)(192, 273, 351, 274)(193, 205, 288, 267)(197, 277, 354, 278)(207, 290, 362, 291)(213, 296, 368, 297)(221, 286, 272, 304)(225, 306, 379, 307)(231, 314, 385, 315)(233, 294, 268, 316)(237, 321, 391, 322)(238, 313, 378, 305)(239, 323, 392, 324)(243, 327, 396, 328)(245, 299, 256, 330)(250, 335, 386, 319)(254, 333, 390, 320)(255, 338, 364, 312)(262, 344, 369, 318)(263, 325, 395, 340)(265, 345, 408, 346)(271, 349, 414, 350)(276, 352, 415, 353)(287, 359, 422, 360)(293, 366, 427, 367)(300, 365, 421, 358)(301, 372, 432, 373)(303, 375, 435, 376)(308, 382, 428, 370)(311, 381, 431, 371)(326, 380, 433, 389)(329, 399, 449, 400)(332, 393, 343, 388)(334, 363, 424, 403)(336, 384, 437, 387)(337, 398, 341, 377)(342, 406, 453, 407)(347, 410, 454, 411)(348, 412, 455, 413)(355, 361, 425, 416)(356, 417, 456, 418)(357, 419, 459, 420)(374, 423, 457, 430)(383, 426, 461, 429)(394, 445, 465, 439)(397, 448, 463, 434)(401, 447, 471, 444)(402, 450, 460, 441)(404, 451, 464, 442)(405, 452, 458, 436)(409, 446, 466, 440)(438, 468, 474, 467)(443, 469, 475, 470)(462, 473, 477, 472)(476, 478, 480, 479)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 111)(71, 113)(72, 114)(74, 118)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(82, 128)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 149)(97, 151)(98, 152)(100, 156)(101, 157)(102, 158)(104, 162)(105, 163)(106, 165)(107, 166)(108, 168)(109, 169)(110, 170)(112, 172)(115, 177)(116, 178)(117, 179)(121, 184)(125, 175)(126, 192)(127, 193)(129, 182)(130, 197)(131, 198)(135, 205)(136, 207)(137, 208)(139, 212)(140, 213)(141, 214)(143, 218)(144, 219)(145, 221)(146, 222)(147, 224)(148, 225)(150, 227)(153, 231)(154, 232)(155, 233)(159, 237)(160, 238)(161, 239)(164, 243)(167, 245)(171, 250)(173, 254)(174, 255)(176, 256)(180, 262)(181, 263)(183, 265)(185, 267)(186, 268)(187, 246)(188, 264)(189, 252)(190, 271)(191, 272)(194, 276)(195, 242)(196, 259)(199, 280)(200, 281)(201, 283)(202, 284)(203, 286)(204, 287)(206, 289)(209, 293)(210, 294)(211, 295)(215, 299)(216, 300)(217, 301)(220, 303)(223, 305)(226, 308)(228, 311)(229, 312)(230, 313)(234, 318)(235, 319)(236, 320)(240, 325)(241, 326)(244, 329)(247, 332)(248, 333)(249, 334)(251, 336)(253, 337)(257, 340)(258, 341)(260, 342)(261, 343)(266, 347)(269, 348)(270, 322)(273, 345)(274, 338)(275, 321)(277, 344)(278, 355)(279, 356)(282, 357)(285, 358)(288, 361)(290, 363)(291, 364)(292, 365)(296, 369)(297, 370)(298, 371)(302, 374)(304, 377)(306, 380)(307, 381)(309, 383)(310, 384)(314, 386)(315, 387)(316, 388)(317, 389)(323, 393)(324, 394)(327, 397)(328, 398)(330, 401)(331, 402)(335, 404)(339, 405)(346, 409)(349, 406)(350, 408)(351, 399)(352, 416)(353, 400)(354, 407)(359, 423)(360, 424)(362, 426)(366, 428)(367, 429)(368, 430)(372, 433)(373, 434)(375, 436)(376, 437)(378, 438)(379, 439)(382, 440)(385, 441)(390, 442)(391, 443)(392, 444)(395, 446)(396, 447)(403, 451)(410, 453)(411, 450)(412, 445)(413, 449)(414, 452)(415, 448)(417, 457)(418, 458)(419, 460)(420, 461)(421, 462)(422, 463)(425, 464)(427, 465)(431, 466)(432, 467)(435, 468)(454, 470)(455, 469)(456, 472)(459, 473)(471, 476)(474, 478)(475, 479)(477, 480)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3184
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 120 e = 240 f = 80
	degree seq :: [ 4^120 ]

E21.3186 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1)^6, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1)^2, (T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1)^2 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 83, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 102, 64)(41, 67, 107, 68)(44, 72, 114, 73)(46, 75, 119, 76)(49, 80, 126, 81)(54, 86, 135, 87)(57, 91, 142, 92)(59, 94, 147, 95)(62, 99, 154, 100)(66, 104, 162, 105)(69, 109, 169, 110)(71, 112, 173, 113)(74, 116, 178, 117)(77, 120, 183, 121)(79, 123, 187, 124)(82, 128, 194, 129)(85, 132, 201, 133)(88, 137, 208, 138)(90, 140, 212, 141)(93, 144, 217, 145)(96, 148, 222, 149)(98, 151, 226, 152)(101, 156, 233, 157)(103, 159, 237, 160)(106, 163, 241, 164)(108, 166, 245, 167)(111, 171, 252, 172)(115, 175, 257, 176)(118, 180, 262, 181)(122, 184, 266, 185)(125, 189, 272, 190)(127, 192, 274, 193)(130, 196, 278, 197)(131, 198, 279, 199)(134, 202, 283, 203)(136, 205, 287, 206)(139, 210, 294, 211)(143, 214, 299, 215)(146, 219, 304, 220)(150, 223, 308, 224)(153, 228, 314, 229)(155, 231, 316, 232)(158, 235, 320, 236)(161, 239, 324, 240)(165, 242, 191, 243)(168, 246, 330, 247)(170, 249, 333, 250)(174, 254, 337, 255)(177, 258, 341, 259)(179, 260, 342, 261)(182, 264, 346, 265)(186, 268, 349, 269)(188, 253, 336, 271)(195, 275, 352, 276)(200, 281, 359, 282)(204, 284, 230, 285)(207, 288, 365, 289)(209, 291, 368, 292)(213, 296, 372, 297)(216, 300, 376, 301)(218, 302, 377, 303)(221, 306, 381, 307)(225, 310, 384, 311)(227, 295, 371, 313)(234, 317, 387, 318)(238, 321, 391, 322)(244, 327, 270, 328)(248, 331, 273, 332)(251, 334, 400, 335)(256, 339, 404, 340)(263, 343, 407, 344)(267, 347, 410, 348)(277, 354, 416, 355)(280, 356, 417, 357)(286, 362, 312, 363)(290, 366, 315, 367)(293, 369, 426, 370)(298, 374, 430, 375)(305, 378, 433, 379)(309, 382, 436, 383)(319, 389, 442, 390)(323, 392, 443, 393)(325, 394, 444, 395)(326, 396, 445, 397)(329, 398, 446, 399)(338, 402, 448, 403)(345, 408, 453, 409)(350, 411, 454, 412)(351, 413, 455, 414)(353, 401, 447, 415)(358, 418, 456, 419)(360, 420, 457, 421)(361, 422, 458, 423)(364, 424, 459, 425)(373, 428, 461, 429)(380, 434, 466, 435)(385, 437, 467, 438)(386, 439, 468, 440)(388, 427, 460, 441)(405, 449, 470, 450)(406, 451, 471, 452)(431, 462, 473, 463)(432, 464, 474, 465)(469, 475, 479, 476)(472, 477, 480, 478)(481, 482)(483, 487)(484, 489)(485, 490)(486, 492)(488, 495)(491, 500)(493, 503)(494, 505)(496, 508)(497, 510)(498, 511)(499, 513)(501, 516)(502, 518)(504, 521)(506, 524)(507, 526)(509, 529)(512, 534)(514, 537)(515, 539)(517, 542)(519, 544)(520, 546)(522, 549)(523, 551)(525, 554)(527, 557)(528, 559)(530, 562)(531, 532)(533, 565)(535, 568)(536, 570)(538, 573)(540, 576)(541, 578)(543, 581)(545, 583)(547, 586)(548, 588)(550, 591)(552, 593)(553, 595)(555, 598)(556, 600)(558, 602)(560, 605)(561, 607)(563, 610)(564, 611)(566, 614)(567, 616)(569, 619)(571, 621)(572, 623)(574, 626)(575, 628)(577, 630)(579, 633)(580, 635)(582, 638)(584, 641)(585, 613)(587, 645)(589, 648)(590, 650)(592, 629)(594, 654)(596, 657)(597, 659)(599, 662)(601, 620)(603, 666)(604, 668)(606, 671)(608, 636)(609, 675)(612, 680)(615, 684)(617, 687)(618, 689)(622, 693)(624, 696)(625, 698)(627, 701)(631, 705)(632, 707)(634, 710)(637, 714)(639, 699)(640, 718)(642, 682)(643, 681)(644, 711)(646, 724)(647, 726)(649, 728)(651, 731)(652, 703)(653, 733)(655, 736)(656, 716)(658, 697)(660, 678)(661, 743)(663, 727)(664, 691)(665, 747)(667, 750)(669, 751)(670, 753)(672, 683)(673, 713)(674, 712)(676, 757)(677, 695)(679, 760)(685, 766)(686, 768)(688, 770)(690, 773)(692, 775)(694, 778)(700, 785)(702, 769)(704, 789)(706, 792)(708, 793)(709, 795)(715, 799)(717, 783)(719, 803)(720, 772)(721, 805)(722, 764)(723, 806)(725, 809)(729, 791)(730, 762)(732, 782)(734, 807)(735, 818)(737, 784)(738, 800)(739, 788)(740, 774)(741, 759)(742, 779)(744, 825)(745, 811)(746, 781)(748, 797)(749, 771)(752, 830)(754, 831)(755, 790)(756, 833)(758, 780)(761, 838)(763, 840)(765, 841)(767, 844)(776, 842)(777, 853)(786, 860)(787, 846)(794, 865)(796, 866)(798, 868)(801, 854)(802, 872)(804, 849)(808, 847)(810, 873)(812, 843)(813, 855)(814, 839)(815, 850)(816, 881)(817, 877)(819, 836)(820, 848)(821, 885)(822, 886)(823, 864)(824, 870)(826, 876)(827, 862)(828, 867)(829, 858)(832, 863)(834, 895)(835, 859)(837, 898)(845, 899)(851, 907)(852, 903)(856, 911)(857, 912)(861, 902)(869, 921)(871, 909)(874, 910)(875, 915)(878, 918)(879, 906)(880, 905)(882, 919)(883, 897)(884, 900)(887, 920)(888, 922)(889, 901)(890, 917)(891, 916)(892, 904)(893, 908)(894, 913)(896, 914)(923, 940)(924, 945)(925, 949)(926, 944)(927, 936)(928, 946)(929, 948)(930, 947)(931, 939)(932, 937)(933, 941)(934, 943)(935, 942)(938, 952)(950, 956)(951, 955)(953, 958)(954, 957)(959, 960)
	L = (1, 481)(2, 482)(3, 483)(4, 484)(5, 485)(6, 486)(7, 487)(8, 488)(9, 489)(10, 490)(11, 491)(12, 492)(13, 493)(14, 494)(15, 495)(16, 496)(17, 497)(18, 498)(19, 499)(20, 500)(21, 501)(22, 502)(23, 503)(24, 504)(25, 505)(26, 506)(27, 507)(28, 508)(29, 509)(30, 510)(31, 511)(32, 512)(33, 513)(34, 514)(35, 515)(36, 516)(37, 517)(38, 518)(39, 519)(40, 520)(41, 521)(42, 522)(43, 523)(44, 524)(45, 525)(46, 526)(47, 527)(48, 528)(49, 529)(50, 530)(51, 531)(52, 532)(53, 533)(54, 534)(55, 535)(56, 536)(57, 537)(58, 538)(59, 539)(60, 540)(61, 541)(62, 542)(63, 543)(64, 544)(65, 545)(66, 546)(67, 547)(68, 548)(69, 549)(70, 550)(71, 551)(72, 552)(73, 553)(74, 554)(75, 555)(76, 556)(77, 557)(78, 558)(79, 559)(80, 560)(81, 561)(82, 562)(83, 563)(84, 564)(85, 565)(86, 566)(87, 567)(88, 568)(89, 569)(90, 570)(91, 571)(92, 572)(93, 573)(94, 574)(95, 575)(96, 576)(97, 577)(98, 578)(99, 579)(100, 580)(101, 581)(102, 582)(103, 583)(104, 584)(105, 585)(106, 586)(107, 587)(108, 588)(109, 589)(110, 590)(111, 591)(112, 592)(113, 593)(114, 594)(115, 595)(116, 596)(117, 597)(118, 598)(119, 599)(120, 600)(121, 601)(122, 602)(123, 603)(124, 604)(125, 605)(126, 606)(127, 607)(128, 608)(129, 609)(130, 610)(131, 611)(132, 612)(133, 613)(134, 614)(135, 615)(136, 616)(137, 617)(138, 618)(139, 619)(140, 620)(141, 621)(142, 622)(143, 623)(144, 624)(145, 625)(146, 626)(147, 627)(148, 628)(149, 629)(150, 630)(151, 631)(152, 632)(153, 633)(154, 634)(155, 635)(156, 636)(157, 637)(158, 638)(159, 639)(160, 640)(161, 641)(162, 642)(163, 643)(164, 644)(165, 645)(166, 646)(167, 647)(168, 648)(169, 649)(170, 650)(171, 651)(172, 652)(173, 653)(174, 654)(175, 655)(176, 656)(177, 657)(178, 658)(179, 659)(180, 660)(181, 661)(182, 662)(183, 663)(184, 664)(185, 665)(186, 666)(187, 667)(188, 668)(189, 669)(190, 670)(191, 671)(192, 672)(193, 673)(194, 674)(195, 675)(196, 676)(197, 677)(198, 678)(199, 679)(200, 680)(201, 681)(202, 682)(203, 683)(204, 684)(205, 685)(206, 686)(207, 687)(208, 688)(209, 689)(210, 690)(211, 691)(212, 692)(213, 693)(214, 694)(215, 695)(216, 696)(217, 697)(218, 698)(219, 699)(220, 700)(221, 701)(222, 702)(223, 703)(224, 704)(225, 705)(226, 706)(227, 707)(228, 708)(229, 709)(230, 710)(231, 711)(232, 712)(233, 713)(234, 714)(235, 715)(236, 716)(237, 717)(238, 718)(239, 719)(240, 720)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E21.3190
Transitivity :: ET+
Graph:: simple bipartite
	v = 360 e = 480 f = 80
	degree seq :: [ 2^240, 4^120 ]

E21.3187 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^6, (T2^2 * T1^-1 * T2 * T1^-1 * T2)^2, (T2 * T1^-1)^6, T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 63, 35, 16)(11, 26, 52, 91, 48, 23)(13, 29, 57, 106, 60, 30)(18, 39, 74, 129, 70, 36)(19, 40, 76, 139, 79, 41)(21, 43, 81, 148, 84, 44)(25, 51, 95, 167, 93, 49)(28, 56, 103, 166, 101, 54)(31, 50, 94, 140, 113, 61)(33, 65, 119, 193, 115, 62)(34, 66, 121, 203, 124, 67)(38, 73, 133, 90, 131, 71)(42, 72, 132, 204, 146, 80)(45, 85, 154, 107, 157, 86)(47, 88, 159, 248, 162, 89)(53, 99, 174, 112, 172, 97)(55, 102, 177, 192, 158, 87)(58, 108, 185, 273, 183, 105)(59, 109, 168, 96, 170, 110)(64, 118, 197, 128, 195, 116)(68, 117, 196, 149, 210, 125)(69, 126, 211, 304, 214, 127)(75, 137, 224, 145, 222, 135)(77, 141, 228, 321, 226, 138)(78, 142, 218, 134, 220, 143)(82, 150, 236, 331, 234, 147)(83, 151, 238, 178, 240, 152)(92, 164, 254, 353, 256, 165)(98, 173, 262, 330, 253, 163)(100, 175, 265, 363, 267, 176)(104, 181, 245, 156, 244, 179)(111, 184, 274, 305, 279, 188)(114, 190, 281, 381, 284, 191)(120, 201, 294, 209, 292, 199)(122, 205, 298, 398, 296, 202)(123, 206, 288, 198, 290, 207)(130, 216, 310, 413, 311, 217)(136, 223, 316, 272, 309, 215)(144, 227, 322, 382, 327, 231)(153, 235, 332, 249, 340, 241)(155, 243, 342, 439, 341, 242)(160, 219, 313, 417, 346, 247)(161, 250, 348, 263, 350, 251)(169, 259, 358, 441, 356, 257)(171, 260, 359, 445, 361, 261)(180, 270, 369, 397, 352, 255)(182, 271, 371, 423, 344, 246)(186, 264, 362, 278, 375, 275)(187, 277, 377, 425, 357, 258)(189, 225, 319, 422, 379, 280)(194, 286, 387, 455, 388, 287)(200, 293, 393, 320, 386, 285)(208, 297, 399, 364, 404, 301)(212, 289, 390, 345, 407, 303)(213, 306, 409, 317, 411, 307)(221, 314, 418, 349, 420, 315)(229, 318, 421, 326, 426, 323)(230, 325, 428, 462, 416, 312)(232, 295, 396, 461, 430, 328)(233, 329, 431, 372, 405, 302)(237, 335, 434, 339, 433, 333)(239, 337, 436, 374, 435, 336)(252, 347, 442, 354, 401, 351)(266, 365, 446, 370, 438, 338)(268, 367, 406, 451, 380, 282)(269, 343, 440, 453, 450, 368)(276, 376, 385, 355, 444, 373)(283, 383, 452, 394, 454, 384)(291, 391, 457, 410, 459, 392)(299, 395, 460, 403, 463, 400)(300, 402, 464, 432, 456, 389)(308, 408, 466, 414, 334, 412)(324, 427, 366, 415, 468, 424)(360, 447, 378, 448, 474, 443)(419, 469, 429, 470, 478, 467)(437, 471, 479, 473, 449, 472)(458, 476, 465, 477, 480, 475)(481, 482, 486, 484)(483, 489, 501, 491)(485, 493, 498, 487)(488, 499, 513, 495)(490, 503, 527, 505)(492, 496, 514, 508)(494, 511, 538, 509)(497, 516, 549, 518)(500, 522, 557, 520)(502, 525, 562, 523)(504, 529, 572, 530)(506, 524, 563, 533)(507, 534, 580, 535)(510, 539, 555, 519)(512, 542, 594, 544)(515, 548, 602, 546)(517, 551, 610, 552)(521, 558, 600, 545)(526, 567, 635, 565)(528, 570, 640, 568)(531, 569, 641, 576)(532, 577, 651, 578)(536, 547, 603, 584)(537, 585, 662, 587)(540, 591, 667, 589)(541, 592, 666, 588)(543, 596, 674, 597)(550, 608, 692, 606)(553, 607, 693, 614)(554, 615, 701, 616)(556, 618, 705, 620)(559, 624, 710, 622)(560, 625, 709, 621)(561, 627, 713, 629)(564, 633, 719, 631)(566, 636, 717, 630)(571, 643, 696, 611)(573, 646, 735, 644)(574, 645, 707, 619)(575, 648, 738, 649)(579, 632, 681, 623)(581, 647, 737, 655)(582, 656, 746, 658)(583, 659, 749, 660)(586, 634, 722, 664)(590, 661, 687, 617)(593, 669, 740, 652)(595, 672, 762, 670)(598, 671, 763, 678)(599, 679, 771, 680)(601, 682, 775, 684)(604, 688, 780, 686)(605, 689, 779, 685)(609, 695, 766, 675)(612, 697, 777, 683)(613, 698, 792, 699)(626, 712, 794, 702)(628, 676, 767, 715)(637, 726, 823, 724)(638, 673, 765, 723)(639, 727, 825, 729)(642, 732, 829, 730)(650, 731, 815, 725)(653, 741, 840, 743)(654, 700, 787, 744)(657, 718, 816, 748)(663, 752, 852, 751)(665, 755, 854, 756)(668, 758, 858, 757)(677, 768, 869, 769)(690, 782, 871, 772)(691, 783, 886, 785)(694, 788, 890, 786)(703, 795, 899, 797)(704, 770, 864, 798)(706, 800, 903, 799)(708, 803, 905, 804)(711, 806, 909, 805)(714, 810, 910, 809)(716, 813, 912, 814)(720, 818, 875, 774)(721, 819, 917, 817)(728, 812, 868, 827)(733, 811, 894, 790)(734, 832, 878, 834)(736, 835, 861, 802)(739, 837, 906, 807)(742, 828, 898, 808)(745, 836, 897, 844)(747, 846, 925, 845)(750, 848, 929, 850)(753, 853, 867, 789)(754, 821, 888, 784)(759, 847, 915, 855)(760, 849, 926, 839)(761, 860, 838, 862)(764, 865, 933, 863)(773, 872, 938, 874)(776, 877, 859, 876)(778, 880, 942, 881)(781, 883, 945, 882)(791, 895, 843, 879)(793, 896, 943, 884)(796, 889, 937, 885)(801, 904, 822, 866)(820, 870, 936, 913)(824, 873, 932, 920)(826, 921, 931, 887)(830, 923, 951, 914)(831, 908, 949, 900)(833, 922, 935, 924)(841, 907, 857, 927)(842, 891, 947, 928)(851, 911, 941, 902)(856, 916, 952, 930)(892, 944, 956, 939)(893, 946, 919, 948)(901, 934, 955, 950)(918, 953, 957, 940)(954, 958, 960, 959)
	L = (1, 481)(2, 482)(3, 483)(4, 484)(5, 485)(6, 486)(7, 487)(8, 488)(9, 489)(10, 490)(11, 491)(12, 492)(13, 493)(14, 494)(15, 495)(16, 496)(17, 497)(18, 498)(19, 499)(20, 500)(21, 501)(22, 502)(23, 503)(24, 504)(25, 505)(26, 506)(27, 507)(28, 508)(29, 509)(30, 510)(31, 511)(32, 512)(33, 513)(34, 514)(35, 515)(36, 516)(37, 517)(38, 518)(39, 519)(40, 520)(41, 521)(42, 522)(43, 523)(44, 524)(45, 525)(46, 526)(47, 527)(48, 528)(49, 529)(50, 530)(51, 531)(52, 532)(53, 533)(54, 534)(55, 535)(56, 536)(57, 537)(58, 538)(59, 539)(60, 540)(61, 541)(62, 542)(63, 543)(64, 544)(65, 545)(66, 546)(67, 547)(68, 548)(69, 549)(70, 550)(71, 551)(72, 552)(73, 553)(74, 554)(75, 555)(76, 556)(77, 557)(78, 558)(79, 559)(80, 560)(81, 561)(82, 562)(83, 563)(84, 564)(85, 565)(86, 566)(87, 567)(88, 568)(89, 569)(90, 570)(91, 571)(92, 572)(93, 573)(94, 574)(95, 575)(96, 576)(97, 577)(98, 578)(99, 579)(100, 580)(101, 581)(102, 582)(103, 583)(104, 584)(105, 585)(106, 586)(107, 587)(108, 588)(109, 589)(110, 590)(111, 591)(112, 592)(113, 593)(114, 594)(115, 595)(116, 596)(117, 597)(118, 598)(119, 599)(120, 600)(121, 601)(122, 602)(123, 603)(124, 604)(125, 605)(126, 606)(127, 607)(128, 608)(129, 609)(130, 610)(131, 611)(132, 612)(133, 613)(134, 614)(135, 615)(136, 616)(137, 617)(138, 618)(139, 619)(140, 620)(141, 621)(142, 622)(143, 623)(144, 624)(145, 625)(146, 626)(147, 627)(148, 628)(149, 629)(150, 630)(151, 631)(152, 632)(153, 633)(154, 634)(155, 635)(156, 636)(157, 637)(158, 638)(159, 639)(160, 640)(161, 641)(162, 642)(163, 643)(164, 644)(165, 645)(166, 646)(167, 647)(168, 648)(169, 649)(170, 650)(171, 651)(172, 652)(173, 653)(174, 654)(175, 655)(176, 656)(177, 657)(178, 658)(179, 659)(180, 660)(181, 661)(182, 662)(183, 663)(184, 664)(185, 665)(186, 666)(187, 667)(188, 668)(189, 669)(190, 670)(191, 671)(192, 672)(193, 673)(194, 674)(195, 675)(196, 676)(197, 677)(198, 678)(199, 679)(200, 680)(201, 681)(202, 682)(203, 683)(204, 684)(205, 685)(206, 686)(207, 687)(208, 688)(209, 689)(210, 690)(211, 691)(212, 692)(213, 693)(214, 694)(215, 695)(216, 696)(217, 697)(218, 698)(219, 699)(220, 700)(221, 701)(222, 702)(223, 703)(224, 704)(225, 705)(226, 706)(227, 707)(228, 708)(229, 709)(230, 710)(231, 711)(232, 712)(233, 713)(234, 714)(235, 715)(236, 716)(237, 717)(238, 718)(239, 719)(240, 720)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3191
Transitivity :: ET+
Graph:: simple bipartite
	v = 200 e = 480 f = 240
	degree seq :: [ 4^120, 6^80 ]

E21.3188 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, (T2 * T1^2 * T2 * T1^-2)^2, T1^-1 * T2 * T1^2 * T2 * T1^4 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 93)(56, 95)(57, 96)(59, 100)(60, 97)(61, 102)(64, 105)(66, 99)(68, 111)(69, 113)(72, 116)(73, 117)(75, 120)(76, 123)(79, 128)(80, 129)(82, 131)(83, 132)(85, 135)(86, 133)(87, 138)(88, 139)(89, 141)(92, 144)(94, 148)(98, 153)(101, 157)(103, 160)(104, 162)(106, 164)(107, 165)(108, 145)(109, 167)(110, 168)(112, 171)(114, 173)(115, 176)(118, 181)(119, 182)(121, 184)(122, 185)(124, 186)(125, 189)(126, 190)(127, 192)(130, 196)(134, 201)(136, 204)(137, 195)(140, 208)(142, 211)(143, 179)(146, 217)(147, 218)(149, 221)(150, 219)(151, 223)(152, 225)(154, 191)(155, 227)(156, 228)(158, 203)(159, 231)(161, 234)(163, 238)(166, 241)(169, 244)(170, 235)(172, 247)(174, 249)(175, 250)(177, 251)(178, 254)(180, 256)(183, 260)(187, 265)(188, 259)(193, 272)(194, 246)(197, 277)(198, 275)(199, 279)(200, 281)(202, 255)(205, 285)(206, 286)(207, 289)(209, 291)(210, 292)(212, 294)(213, 295)(214, 297)(215, 298)(216, 299)(220, 303)(222, 304)(224, 306)(226, 310)(229, 313)(230, 307)(232, 315)(233, 316)(236, 321)(237, 312)(239, 322)(240, 245)(242, 258)(243, 309)(248, 331)(252, 336)(253, 330)(257, 340)(261, 345)(262, 343)(263, 347)(264, 349)(266, 328)(267, 350)(268, 351)(269, 354)(270, 355)(271, 356)(273, 358)(274, 359)(276, 361)(278, 362)(280, 364)(282, 367)(283, 368)(284, 365)(287, 370)(288, 371)(290, 372)(293, 377)(296, 376)(300, 369)(301, 382)(302, 383)(305, 385)(308, 388)(311, 375)(314, 393)(317, 391)(318, 397)(319, 380)(320, 374)(323, 373)(324, 337)(325, 327)(326, 386)(329, 399)(332, 402)(333, 401)(334, 404)(335, 406)(338, 407)(339, 408)(341, 411)(342, 412)(344, 414)(346, 415)(348, 416)(352, 418)(353, 419)(357, 420)(360, 422)(363, 424)(366, 426)(378, 432)(379, 433)(381, 434)(384, 398)(387, 437)(389, 429)(390, 423)(392, 427)(394, 438)(395, 435)(396, 439)(400, 441)(403, 442)(405, 443)(409, 445)(410, 446)(413, 448)(417, 450)(421, 451)(425, 452)(428, 454)(430, 455)(431, 456)(436, 458)(440, 460)(444, 463)(447, 464)(449, 465)(453, 467)(457, 470)(459, 469)(461, 471)(462, 472)(466, 474)(468, 476)(473, 478)(475, 479)(477, 480)(481, 482, 485, 491, 490, 484)(483, 487, 495, 509, 498, 488)(486, 493, 505, 526, 508, 494)(489, 499, 515, 541, 517, 500)(492, 503, 522, 553, 525, 504)(496, 511, 534, 572, 536, 512)(497, 513, 537, 562, 528, 506)(501, 518, 546, 589, 548, 519)(502, 520, 549, 592, 552, 521)(507, 529, 563, 601, 555, 523)(510, 532, 569, 604, 557, 533)(514, 539, 579, 635, 581, 540)(516, 543, 584, 641, 586, 544)(524, 556, 602, 654, 594, 550)(527, 559, 607, 657, 596, 560)(530, 565, 542, 583, 616, 566)(531, 567, 617, 685, 620, 568)(535, 574, 627, 692, 622, 570)(538, 577, 632, 704, 634, 578)(545, 587, 593, 652, 646, 588)(547, 551, 595, 655, 649, 590)(554, 598, 660, 650, 591, 599)(558, 605, 668, 747, 671, 606)(561, 610, 675, 753, 673, 608)(564, 613, 680, 760, 682, 614)(571, 623, 693, 767, 686, 618)(573, 625, 696, 770, 688, 626)(575, 629, 576, 631, 702, 630)(580, 619, 687, 768, 709, 636)(582, 638, 698, 781, 712, 639)(585, 643, 717, 797, 713, 640)(597, 658, 733, 818, 735, 659)(600, 663, 739, 821, 737, 661)(603, 666, 744, 828, 746, 667)(609, 674, 754, 832, 748, 669)(611, 677, 612, 679, 758, 678)(615, 670, 749, 833, 763, 683)(621, 689, 736, 710, 637, 690)(624, 694, 776, 719, 644, 695)(628, 699, 782, 827, 745, 700)(633, 706, 789, 866, 785, 703)(642, 715, 800, 874, 795, 716)(645, 711, 794, 872, 803, 720)(647, 708, 792, 870, 804, 722)(648, 723, 805, 869, 791, 707)(651, 725, 807, 878, 808, 726)(653, 728, 810, 880, 809, 727)(656, 731, 815, 885, 817, 732)(662, 738, 822, 889, 819, 734)(664, 741, 665, 743, 826, 742)(672, 750, 721, 764, 684, 751)(676, 755, 840, 884, 816, 756)(681, 762, 718, 802, 843, 759)(691, 773, 856, 910, 854, 771)(697, 780, 811, 881, 859, 777)(701, 778, 860, 882, 825, 757)(705, 787, 820, 890, 842, 788)(714, 798, 876, 806, 724, 799)(729, 812, 730, 814, 883, 813)(740, 823, 893, 877, 801, 824)(752, 837, 784, 861, 779, 835)(761, 845, 879, 920, 895, 846)(765, 841, 903, 847, 887, 849)(766, 839, 896, 929, 901, 838)(769, 852, 908, 933, 909, 853)(772, 855, 911, 922, 897, 829)(774, 848, 775, 844, 905, 858)(783, 864, 790, 830, 894, 862)(786, 867, 916, 871, 793, 834)(796, 875, 919, 924, 886, 836)(831, 892, 923, 942, 927, 891)(850, 899, 851, 907, 925, 898)(857, 912, 937, 917, 868, 904)(863, 900, 931, 946, 932, 906)(865, 915, 938, 948, 934, 914)(873, 918, 939, 941, 921, 888)(902, 926, 944, 953, 945, 930)(913, 936, 947, 955, 949, 935)(928, 940, 951, 957, 952, 943)(950, 954, 958, 960, 959, 956)
	L = (1, 481)(2, 482)(3, 483)(4, 484)(5, 485)(6, 486)(7, 487)(8, 488)(9, 489)(10, 490)(11, 491)(12, 492)(13, 493)(14, 494)(15, 495)(16, 496)(17, 497)(18, 498)(19, 499)(20, 500)(21, 501)(22, 502)(23, 503)(24, 504)(25, 505)(26, 506)(27, 507)(28, 508)(29, 509)(30, 510)(31, 511)(32, 512)(33, 513)(34, 514)(35, 515)(36, 516)(37, 517)(38, 518)(39, 519)(40, 520)(41, 521)(42, 522)(43, 523)(44, 524)(45, 525)(46, 526)(47, 527)(48, 528)(49, 529)(50, 530)(51, 531)(52, 532)(53, 533)(54, 534)(55, 535)(56, 536)(57, 537)(58, 538)(59, 539)(60, 540)(61, 541)(62, 542)(63, 543)(64, 544)(65, 545)(66, 546)(67, 547)(68, 548)(69, 549)(70, 550)(71, 551)(72, 552)(73, 553)(74, 554)(75, 555)(76, 556)(77, 557)(78, 558)(79, 559)(80, 560)(81, 561)(82, 562)(83, 563)(84, 564)(85, 565)(86, 566)(87, 567)(88, 568)(89, 569)(90, 570)(91, 571)(92, 572)(93, 573)(94, 574)(95, 575)(96, 576)(97, 577)(98, 578)(99, 579)(100, 580)(101, 581)(102, 582)(103, 583)(104, 584)(105, 585)(106, 586)(107, 587)(108, 588)(109, 589)(110, 590)(111, 591)(112, 592)(113, 593)(114, 594)(115, 595)(116, 596)(117, 597)(118, 598)(119, 599)(120, 600)(121, 601)(122, 602)(123, 603)(124, 604)(125, 605)(126, 606)(127, 607)(128, 608)(129, 609)(130, 610)(131, 611)(132, 612)(133, 613)(134, 614)(135, 615)(136, 616)(137, 617)(138, 618)(139, 619)(140, 620)(141, 621)(142, 622)(143, 623)(144, 624)(145, 625)(146, 626)(147, 627)(148, 628)(149, 629)(150, 630)(151, 631)(152, 632)(153, 633)(154, 634)(155, 635)(156, 636)(157, 637)(158, 638)(159, 639)(160, 640)(161, 641)(162, 642)(163, 643)(164, 644)(165, 645)(166, 646)(167, 647)(168, 648)(169, 649)(170, 650)(171, 651)(172, 652)(173, 653)(174, 654)(175, 655)(176, 656)(177, 657)(178, 658)(179, 659)(180, 660)(181, 661)(182, 662)(183, 663)(184, 664)(185, 665)(186, 666)(187, 667)(188, 668)(189, 669)(190, 670)(191, 671)(192, 672)(193, 673)(194, 674)(195, 675)(196, 676)(197, 677)(198, 678)(199, 679)(200, 680)(201, 681)(202, 682)(203, 683)(204, 684)(205, 685)(206, 686)(207, 687)(208, 688)(209, 689)(210, 690)(211, 691)(212, 692)(213, 693)(214, 694)(215, 695)(216, 696)(217, 697)(218, 698)(219, 699)(220, 700)(221, 701)(222, 702)(223, 703)(224, 704)(225, 705)(226, 706)(227, 707)(228, 708)(229, 709)(230, 710)(231, 711)(232, 712)(233, 713)(234, 714)(235, 715)(236, 716)(237, 717)(238, 718)(239, 719)(240, 720)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E21.3189
Transitivity :: ET+
Graph:: simple bipartite
	v = 320 e = 480 f = 120
	degree seq :: [ 2^240, 6^80 ]

E21.3189 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2 * T1)^6, (T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1)^2, (T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1)^2, (T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1)^2 ]
Map::
	R = (1, 481, 3, 483, 8, 488, 4, 484)(2, 482, 5, 485, 11, 491, 6, 486)(7, 487, 13, 493, 24, 504, 14, 494)(9, 489, 16, 496, 29, 509, 17, 497)(10, 490, 18, 498, 32, 512, 19, 499)(12, 492, 21, 501, 37, 517, 22, 502)(15, 495, 26, 506, 45, 525, 27, 507)(20, 500, 34, 514, 58, 538, 35, 515)(23, 503, 39, 519, 65, 545, 40, 520)(25, 505, 42, 522, 70, 550, 43, 523)(28, 508, 47, 527, 78, 558, 48, 528)(30, 510, 50, 530, 83, 563, 51, 531)(31, 511, 52, 532, 84, 564, 53, 533)(33, 513, 55, 535, 89, 569, 56, 536)(36, 516, 60, 540, 97, 577, 61, 541)(38, 518, 63, 543, 102, 582, 64, 544)(41, 521, 67, 547, 107, 587, 68, 548)(44, 524, 72, 552, 114, 594, 73, 553)(46, 526, 75, 555, 119, 599, 76, 556)(49, 529, 80, 560, 126, 606, 81, 561)(54, 534, 86, 566, 135, 615, 87, 567)(57, 537, 91, 571, 142, 622, 92, 572)(59, 539, 94, 574, 147, 627, 95, 575)(62, 542, 99, 579, 154, 634, 100, 580)(66, 546, 104, 584, 162, 642, 105, 585)(69, 549, 109, 589, 169, 649, 110, 590)(71, 551, 112, 592, 173, 653, 113, 593)(74, 554, 116, 596, 178, 658, 117, 597)(77, 557, 120, 600, 183, 663, 121, 601)(79, 559, 123, 603, 187, 667, 124, 604)(82, 562, 128, 608, 194, 674, 129, 609)(85, 565, 132, 612, 201, 681, 133, 613)(88, 568, 137, 617, 208, 688, 138, 618)(90, 570, 140, 620, 212, 692, 141, 621)(93, 573, 144, 624, 217, 697, 145, 625)(96, 576, 148, 628, 222, 702, 149, 629)(98, 578, 151, 631, 226, 706, 152, 632)(101, 581, 156, 636, 233, 713, 157, 637)(103, 583, 159, 639, 237, 717, 160, 640)(106, 586, 163, 643, 241, 721, 164, 644)(108, 588, 166, 646, 245, 725, 167, 647)(111, 591, 171, 651, 252, 732, 172, 652)(115, 595, 175, 655, 257, 737, 176, 656)(118, 598, 180, 660, 262, 742, 181, 661)(122, 602, 184, 664, 266, 746, 185, 665)(125, 605, 189, 669, 272, 752, 190, 670)(127, 607, 192, 672, 274, 754, 193, 673)(130, 610, 196, 676, 278, 758, 197, 677)(131, 611, 198, 678, 279, 759, 199, 679)(134, 614, 202, 682, 283, 763, 203, 683)(136, 616, 205, 685, 287, 767, 206, 686)(139, 619, 210, 690, 294, 774, 211, 691)(143, 623, 214, 694, 299, 779, 215, 695)(146, 626, 219, 699, 304, 784, 220, 700)(150, 630, 223, 703, 308, 788, 224, 704)(153, 633, 228, 708, 314, 794, 229, 709)(155, 635, 231, 711, 316, 796, 232, 712)(158, 638, 235, 715, 320, 800, 236, 716)(161, 641, 239, 719, 324, 804, 240, 720)(165, 645, 242, 722, 191, 671, 243, 723)(168, 648, 246, 726, 330, 810, 247, 727)(170, 650, 249, 729, 333, 813, 250, 730)(174, 654, 254, 734, 337, 817, 255, 735)(177, 657, 258, 738, 341, 821, 259, 739)(179, 659, 260, 740, 342, 822, 261, 741)(182, 662, 264, 744, 346, 826, 265, 745)(186, 666, 268, 748, 349, 829, 269, 749)(188, 668, 253, 733, 336, 816, 271, 751)(195, 675, 275, 755, 352, 832, 276, 756)(200, 680, 281, 761, 359, 839, 282, 762)(204, 684, 284, 764, 230, 710, 285, 765)(207, 687, 288, 768, 365, 845, 289, 769)(209, 689, 291, 771, 368, 848, 292, 772)(213, 693, 296, 776, 372, 852, 297, 777)(216, 696, 300, 780, 376, 856, 301, 781)(218, 698, 302, 782, 377, 857, 303, 783)(221, 701, 306, 786, 381, 861, 307, 787)(225, 705, 310, 790, 384, 864, 311, 791)(227, 707, 295, 775, 371, 851, 313, 793)(234, 714, 317, 797, 387, 867, 318, 798)(238, 718, 321, 801, 391, 871, 322, 802)(244, 724, 327, 807, 270, 750, 328, 808)(248, 728, 331, 811, 273, 753, 332, 812)(251, 731, 334, 814, 400, 880, 335, 815)(256, 736, 339, 819, 404, 884, 340, 820)(263, 743, 343, 823, 407, 887, 344, 824)(267, 747, 347, 827, 410, 890, 348, 828)(277, 757, 354, 834, 416, 896, 355, 835)(280, 760, 356, 836, 417, 897, 357, 837)(286, 766, 362, 842, 312, 792, 363, 843)(290, 770, 366, 846, 315, 795, 367, 847)(293, 773, 369, 849, 426, 906, 370, 850)(298, 778, 374, 854, 430, 910, 375, 855)(305, 785, 378, 858, 433, 913, 379, 859)(309, 789, 382, 862, 436, 916, 383, 863)(319, 799, 389, 869, 442, 922, 390, 870)(323, 803, 392, 872, 443, 923, 393, 873)(325, 805, 394, 874, 444, 924, 395, 875)(326, 806, 396, 876, 445, 925, 397, 877)(329, 809, 398, 878, 446, 926, 399, 879)(338, 818, 402, 882, 448, 928, 403, 883)(345, 825, 408, 888, 453, 933, 409, 889)(350, 830, 411, 891, 454, 934, 412, 892)(351, 831, 413, 893, 455, 935, 414, 894)(353, 833, 401, 881, 447, 927, 415, 895)(358, 838, 418, 898, 456, 936, 419, 899)(360, 840, 420, 900, 457, 937, 421, 901)(361, 841, 422, 902, 458, 938, 423, 903)(364, 844, 424, 904, 459, 939, 425, 905)(373, 853, 428, 908, 461, 941, 429, 909)(380, 860, 434, 914, 466, 946, 435, 915)(385, 865, 437, 917, 467, 947, 438, 918)(386, 866, 439, 919, 468, 948, 440, 920)(388, 868, 427, 907, 460, 940, 441, 921)(405, 885, 449, 929, 470, 950, 450, 930)(406, 886, 451, 931, 471, 951, 452, 932)(431, 911, 462, 942, 473, 953, 463, 943)(432, 912, 464, 944, 474, 954, 465, 945)(469, 949, 475, 955, 479, 959, 476, 956)(472, 952, 477, 957, 480, 960, 478, 958)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 490)(6, 492)(7, 483)(8, 495)(9, 484)(10, 485)(11, 500)(12, 486)(13, 503)(14, 505)(15, 488)(16, 508)(17, 510)(18, 511)(19, 513)(20, 491)(21, 516)(22, 518)(23, 493)(24, 521)(25, 494)(26, 524)(27, 526)(28, 496)(29, 529)(30, 497)(31, 498)(32, 534)(33, 499)(34, 537)(35, 539)(36, 501)(37, 542)(38, 502)(39, 544)(40, 546)(41, 504)(42, 549)(43, 551)(44, 506)(45, 554)(46, 507)(47, 557)(48, 559)(49, 509)(50, 562)(51, 532)(52, 531)(53, 565)(54, 512)(55, 568)(56, 570)(57, 514)(58, 573)(59, 515)(60, 576)(61, 578)(62, 517)(63, 581)(64, 519)(65, 583)(66, 520)(67, 586)(68, 588)(69, 522)(70, 591)(71, 523)(72, 593)(73, 595)(74, 525)(75, 598)(76, 600)(77, 527)(78, 602)(79, 528)(80, 605)(81, 607)(82, 530)(83, 610)(84, 611)(85, 533)(86, 614)(87, 616)(88, 535)(89, 619)(90, 536)(91, 621)(92, 623)(93, 538)(94, 626)(95, 628)(96, 540)(97, 630)(98, 541)(99, 633)(100, 635)(101, 543)(102, 638)(103, 545)(104, 641)(105, 613)(106, 547)(107, 645)(108, 548)(109, 648)(110, 650)(111, 550)(112, 629)(113, 552)(114, 654)(115, 553)(116, 657)(117, 659)(118, 555)(119, 662)(120, 556)(121, 620)(122, 558)(123, 666)(124, 668)(125, 560)(126, 671)(127, 561)(128, 636)(129, 675)(130, 563)(131, 564)(132, 680)(133, 585)(134, 566)(135, 684)(136, 567)(137, 687)(138, 689)(139, 569)(140, 601)(141, 571)(142, 693)(143, 572)(144, 696)(145, 698)(146, 574)(147, 701)(148, 575)(149, 592)(150, 577)(151, 705)(152, 707)(153, 579)(154, 710)(155, 580)(156, 608)(157, 714)(158, 582)(159, 699)(160, 718)(161, 584)(162, 682)(163, 681)(164, 711)(165, 587)(166, 724)(167, 726)(168, 589)(169, 728)(170, 590)(171, 731)(172, 703)(173, 733)(174, 594)(175, 736)(176, 716)(177, 596)(178, 697)(179, 597)(180, 678)(181, 743)(182, 599)(183, 727)(184, 691)(185, 747)(186, 603)(187, 750)(188, 604)(189, 751)(190, 753)(191, 606)(192, 683)(193, 713)(194, 712)(195, 609)(196, 757)(197, 695)(198, 660)(199, 760)(200, 612)(201, 643)(202, 642)(203, 672)(204, 615)(205, 766)(206, 768)(207, 617)(208, 770)(209, 618)(210, 773)(211, 664)(212, 775)(213, 622)(214, 778)(215, 677)(216, 624)(217, 658)(218, 625)(219, 639)(220, 785)(221, 627)(222, 769)(223, 652)(224, 789)(225, 631)(226, 792)(227, 632)(228, 793)(229, 795)(230, 634)(231, 644)(232, 674)(233, 673)(234, 637)(235, 799)(236, 656)(237, 783)(238, 640)(239, 803)(240, 772)(241, 805)(242, 764)(243, 806)(244, 646)(245, 809)(246, 647)(247, 663)(248, 649)(249, 791)(250, 762)(251, 651)(252, 782)(253, 653)(254, 807)(255, 818)(256, 655)(257, 784)(258, 800)(259, 788)(260, 774)(261, 759)(262, 779)(263, 661)(264, 825)(265, 811)(266, 781)(267, 665)(268, 797)(269, 771)(270, 667)(271, 669)(272, 830)(273, 670)(274, 831)(275, 790)(276, 833)(277, 676)(278, 780)(279, 741)(280, 679)(281, 838)(282, 730)(283, 840)(284, 722)(285, 841)(286, 685)(287, 844)(288, 686)(289, 702)(290, 688)(291, 749)(292, 720)(293, 690)(294, 740)(295, 692)(296, 842)(297, 853)(298, 694)(299, 742)(300, 758)(301, 746)(302, 732)(303, 717)(304, 737)(305, 700)(306, 860)(307, 846)(308, 739)(309, 704)(310, 755)(311, 729)(312, 706)(313, 708)(314, 865)(315, 709)(316, 866)(317, 748)(318, 868)(319, 715)(320, 738)(321, 854)(322, 872)(323, 719)(324, 849)(325, 721)(326, 723)(327, 734)(328, 847)(329, 725)(330, 873)(331, 745)(332, 843)(333, 855)(334, 839)(335, 850)(336, 881)(337, 877)(338, 735)(339, 836)(340, 848)(341, 885)(342, 886)(343, 864)(344, 870)(345, 744)(346, 876)(347, 862)(348, 867)(349, 858)(350, 752)(351, 754)(352, 863)(353, 756)(354, 895)(355, 859)(356, 819)(357, 898)(358, 761)(359, 814)(360, 763)(361, 765)(362, 776)(363, 812)(364, 767)(365, 899)(366, 787)(367, 808)(368, 820)(369, 804)(370, 815)(371, 907)(372, 903)(373, 777)(374, 801)(375, 813)(376, 911)(377, 912)(378, 829)(379, 835)(380, 786)(381, 902)(382, 827)(383, 832)(384, 823)(385, 794)(386, 796)(387, 828)(388, 798)(389, 921)(390, 824)(391, 909)(392, 802)(393, 810)(394, 910)(395, 915)(396, 826)(397, 817)(398, 918)(399, 906)(400, 905)(401, 816)(402, 919)(403, 897)(404, 900)(405, 821)(406, 822)(407, 920)(408, 922)(409, 901)(410, 917)(411, 916)(412, 904)(413, 908)(414, 913)(415, 834)(416, 914)(417, 883)(418, 837)(419, 845)(420, 884)(421, 889)(422, 861)(423, 852)(424, 892)(425, 880)(426, 879)(427, 851)(428, 893)(429, 871)(430, 874)(431, 856)(432, 857)(433, 894)(434, 896)(435, 875)(436, 891)(437, 890)(438, 878)(439, 882)(440, 887)(441, 869)(442, 888)(443, 940)(444, 945)(445, 949)(446, 944)(447, 936)(448, 946)(449, 948)(450, 947)(451, 939)(452, 937)(453, 941)(454, 943)(455, 942)(456, 927)(457, 932)(458, 952)(459, 931)(460, 923)(461, 933)(462, 935)(463, 934)(464, 926)(465, 924)(466, 928)(467, 930)(468, 929)(469, 925)(470, 956)(471, 955)(472, 938)(473, 958)(474, 957)(475, 951)(476, 950)(477, 954)(478, 953)(479, 960)(480, 959)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3188
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 120 e = 480 f = 320
	degree seq :: [ 8^120 ]

E21.3190 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^6, (T2^2 * T1^-1 * T2 * T1^-1 * T2)^2, (T2 * T1^-1)^6, T2^-1 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1 ]
Map::
	R = (1, 481, 3, 483, 10, 490, 24, 504, 14, 494, 5, 485)(2, 482, 7, 487, 17, 497, 37, 517, 20, 500, 8, 488)(4, 484, 12, 492, 27, 507, 46, 526, 22, 502, 9, 489)(6, 486, 15, 495, 32, 512, 63, 543, 35, 515, 16, 496)(11, 491, 26, 506, 52, 532, 91, 571, 48, 528, 23, 503)(13, 493, 29, 509, 57, 537, 106, 586, 60, 540, 30, 510)(18, 498, 39, 519, 74, 554, 129, 609, 70, 550, 36, 516)(19, 499, 40, 520, 76, 556, 139, 619, 79, 559, 41, 521)(21, 501, 43, 523, 81, 561, 148, 628, 84, 564, 44, 524)(25, 505, 51, 531, 95, 575, 167, 647, 93, 573, 49, 529)(28, 508, 56, 536, 103, 583, 166, 646, 101, 581, 54, 534)(31, 511, 50, 530, 94, 574, 140, 620, 113, 593, 61, 541)(33, 513, 65, 545, 119, 599, 193, 673, 115, 595, 62, 542)(34, 514, 66, 546, 121, 601, 203, 683, 124, 604, 67, 547)(38, 518, 73, 553, 133, 613, 90, 570, 131, 611, 71, 551)(42, 522, 72, 552, 132, 612, 204, 684, 146, 626, 80, 560)(45, 525, 85, 565, 154, 634, 107, 587, 157, 637, 86, 566)(47, 527, 88, 568, 159, 639, 248, 728, 162, 642, 89, 569)(53, 533, 99, 579, 174, 654, 112, 592, 172, 652, 97, 577)(55, 535, 102, 582, 177, 657, 192, 672, 158, 638, 87, 567)(58, 538, 108, 588, 185, 665, 273, 753, 183, 663, 105, 585)(59, 539, 109, 589, 168, 648, 96, 576, 170, 650, 110, 590)(64, 544, 118, 598, 197, 677, 128, 608, 195, 675, 116, 596)(68, 548, 117, 597, 196, 676, 149, 629, 210, 690, 125, 605)(69, 549, 126, 606, 211, 691, 304, 784, 214, 694, 127, 607)(75, 555, 137, 617, 224, 704, 145, 625, 222, 702, 135, 615)(77, 557, 141, 621, 228, 708, 321, 801, 226, 706, 138, 618)(78, 558, 142, 622, 218, 698, 134, 614, 220, 700, 143, 623)(82, 562, 150, 630, 236, 716, 331, 811, 234, 714, 147, 627)(83, 563, 151, 631, 238, 718, 178, 658, 240, 720, 152, 632)(92, 572, 164, 644, 254, 734, 353, 833, 256, 736, 165, 645)(98, 578, 173, 653, 262, 742, 330, 810, 253, 733, 163, 643)(100, 580, 175, 655, 265, 745, 363, 843, 267, 747, 176, 656)(104, 584, 181, 661, 245, 725, 156, 636, 244, 724, 179, 659)(111, 591, 184, 664, 274, 754, 305, 785, 279, 759, 188, 668)(114, 594, 190, 670, 281, 761, 381, 861, 284, 764, 191, 671)(120, 600, 201, 681, 294, 774, 209, 689, 292, 772, 199, 679)(122, 602, 205, 685, 298, 778, 398, 878, 296, 776, 202, 682)(123, 603, 206, 686, 288, 768, 198, 678, 290, 770, 207, 687)(130, 610, 216, 696, 310, 790, 413, 893, 311, 791, 217, 697)(136, 616, 223, 703, 316, 796, 272, 752, 309, 789, 215, 695)(144, 624, 227, 707, 322, 802, 382, 862, 327, 807, 231, 711)(153, 633, 235, 715, 332, 812, 249, 729, 340, 820, 241, 721)(155, 635, 243, 723, 342, 822, 439, 919, 341, 821, 242, 722)(160, 640, 219, 699, 313, 793, 417, 897, 346, 826, 247, 727)(161, 641, 250, 730, 348, 828, 263, 743, 350, 830, 251, 731)(169, 649, 259, 739, 358, 838, 441, 921, 356, 836, 257, 737)(171, 651, 260, 740, 359, 839, 445, 925, 361, 841, 261, 741)(180, 660, 270, 750, 369, 849, 397, 877, 352, 832, 255, 735)(182, 662, 271, 751, 371, 851, 423, 903, 344, 824, 246, 726)(186, 666, 264, 744, 362, 842, 278, 758, 375, 855, 275, 755)(187, 667, 277, 757, 377, 857, 425, 905, 357, 837, 258, 738)(189, 669, 225, 705, 319, 799, 422, 902, 379, 859, 280, 760)(194, 674, 286, 766, 387, 867, 455, 935, 388, 868, 287, 767)(200, 680, 293, 773, 393, 873, 320, 800, 386, 866, 285, 765)(208, 688, 297, 777, 399, 879, 364, 844, 404, 884, 301, 781)(212, 692, 289, 769, 390, 870, 345, 825, 407, 887, 303, 783)(213, 693, 306, 786, 409, 889, 317, 797, 411, 891, 307, 787)(221, 701, 314, 794, 418, 898, 349, 829, 420, 900, 315, 795)(229, 709, 318, 798, 421, 901, 326, 806, 426, 906, 323, 803)(230, 710, 325, 805, 428, 908, 462, 942, 416, 896, 312, 792)(232, 712, 295, 775, 396, 876, 461, 941, 430, 910, 328, 808)(233, 713, 329, 809, 431, 911, 372, 852, 405, 885, 302, 782)(237, 717, 335, 815, 434, 914, 339, 819, 433, 913, 333, 813)(239, 719, 337, 817, 436, 916, 374, 854, 435, 915, 336, 816)(252, 732, 347, 827, 442, 922, 354, 834, 401, 881, 351, 831)(266, 746, 365, 845, 446, 926, 370, 850, 438, 918, 338, 818)(268, 748, 367, 847, 406, 886, 451, 931, 380, 860, 282, 762)(269, 749, 343, 823, 440, 920, 453, 933, 450, 930, 368, 848)(276, 756, 376, 856, 385, 865, 355, 835, 444, 924, 373, 853)(283, 763, 383, 863, 452, 932, 394, 874, 454, 934, 384, 864)(291, 771, 391, 871, 457, 937, 410, 890, 459, 939, 392, 872)(299, 779, 395, 875, 460, 940, 403, 883, 463, 943, 400, 880)(300, 780, 402, 882, 464, 944, 432, 912, 456, 936, 389, 869)(308, 788, 408, 888, 466, 946, 414, 894, 334, 814, 412, 892)(324, 804, 427, 907, 366, 846, 415, 895, 468, 948, 424, 904)(360, 840, 447, 927, 378, 858, 448, 928, 474, 954, 443, 923)(419, 899, 469, 949, 429, 909, 470, 950, 478, 958, 467, 947)(437, 917, 471, 951, 479, 959, 473, 953, 449, 929, 472, 952)(458, 938, 476, 956, 465, 945, 477, 957, 480, 960, 475, 955)
	L = (1, 482)(2, 486)(3, 489)(4, 481)(5, 493)(6, 484)(7, 485)(8, 499)(9, 501)(10, 503)(11, 483)(12, 496)(13, 498)(14, 511)(15, 488)(16, 514)(17, 516)(18, 487)(19, 513)(20, 522)(21, 491)(22, 525)(23, 527)(24, 529)(25, 490)(26, 524)(27, 534)(28, 492)(29, 494)(30, 539)(31, 538)(32, 542)(33, 495)(34, 508)(35, 548)(36, 549)(37, 551)(38, 497)(39, 510)(40, 500)(41, 558)(42, 557)(43, 502)(44, 563)(45, 562)(46, 567)(47, 505)(48, 570)(49, 572)(50, 504)(51, 569)(52, 577)(53, 506)(54, 580)(55, 507)(56, 547)(57, 585)(58, 509)(59, 555)(60, 591)(61, 592)(62, 594)(63, 596)(64, 512)(65, 521)(66, 515)(67, 603)(68, 602)(69, 518)(70, 608)(71, 610)(72, 517)(73, 607)(74, 615)(75, 519)(76, 618)(77, 520)(78, 600)(79, 624)(80, 625)(81, 627)(82, 523)(83, 533)(84, 633)(85, 526)(86, 636)(87, 635)(88, 528)(89, 641)(90, 640)(91, 643)(92, 530)(93, 646)(94, 645)(95, 648)(96, 531)(97, 651)(98, 532)(99, 632)(100, 535)(101, 647)(102, 656)(103, 659)(104, 536)(105, 662)(106, 634)(107, 537)(108, 541)(109, 540)(110, 661)(111, 667)(112, 666)(113, 669)(114, 544)(115, 672)(116, 674)(117, 543)(118, 671)(119, 679)(120, 545)(121, 682)(122, 546)(123, 584)(124, 688)(125, 689)(126, 550)(127, 693)(128, 692)(129, 695)(130, 552)(131, 571)(132, 697)(133, 698)(134, 553)(135, 701)(136, 554)(137, 590)(138, 705)(139, 574)(140, 556)(141, 560)(142, 559)(143, 579)(144, 710)(145, 709)(146, 712)(147, 713)(148, 676)(149, 561)(150, 566)(151, 564)(152, 681)(153, 719)(154, 722)(155, 565)(156, 717)(157, 726)(158, 673)(159, 727)(160, 568)(161, 576)(162, 732)(163, 696)(164, 573)(165, 707)(166, 735)(167, 737)(168, 738)(169, 575)(170, 731)(171, 578)(172, 593)(173, 741)(174, 700)(175, 581)(176, 746)(177, 718)(178, 582)(179, 749)(180, 583)(181, 687)(182, 587)(183, 752)(184, 586)(185, 755)(186, 588)(187, 589)(188, 758)(189, 740)(190, 595)(191, 763)(192, 762)(193, 765)(194, 597)(195, 609)(196, 767)(197, 768)(198, 598)(199, 771)(200, 599)(201, 623)(202, 775)(203, 612)(204, 601)(205, 605)(206, 604)(207, 617)(208, 780)(209, 779)(210, 782)(211, 783)(212, 606)(213, 614)(214, 788)(215, 766)(216, 611)(217, 777)(218, 792)(219, 613)(220, 787)(221, 616)(222, 626)(223, 795)(224, 770)(225, 620)(226, 800)(227, 619)(228, 803)(229, 621)(230, 622)(231, 806)(232, 794)(233, 629)(234, 810)(235, 628)(236, 813)(237, 630)(238, 816)(239, 631)(240, 818)(241, 819)(242, 664)(243, 638)(244, 637)(245, 650)(246, 823)(247, 825)(248, 812)(249, 639)(250, 642)(251, 815)(252, 829)(253, 811)(254, 832)(255, 644)(256, 835)(257, 655)(258, 649)(259, 837)(260, 652)(261, 840)(262, 828)(263, 653)(264, 654)(265, 836)(266, 658)(267, 846)(268, 657)(269, 660)(270, 848)(271, 663)(272, 852)(273, 853)(274, 821)(275, 854)(276, 665)(277, 668)(278, 858)(279, 847)(280, 849)(281, 860)(282, 670)(283, 678)(284, 865)(285, 723)(286, 675)(287, 715)(288, 869)(289, 677)(290, 864)(291, 680)(292, 690)(293, 872)(294, 720)(295, 684)(296, 877)(297, 683)(298, 880)(299, 685)(300, 686)(301, 883)(302, 871)(303, 886)(304, 754)(305, 691)(306, 694)(307, 744)(308, 890)(309, 753)(310, 733)(311, 895)(312, 699)(313, 896)(314, 702)(315, 899)(316, 889)(317, 703)(318, 704)(319, 706)(320, 903)(321, 904)(322, 736)(323, 905)(324, 708)(325, 711)(326, 909)(327, 739)(328, 742)(329, 714)(330, 910)(331, 894)(332, 868)(333, 912)(334, 716)(335, 725)(336, 748)(337, 721)(338, 875)(339, 917)(340, 870)(341, 888)(342, 866)(343, 724)(344, 873)(345, 729)(346, 921)(347, 728)(348, 898)(349, 730)(350, 923)(351, 908)(352, 878)(353, 922)(354, 734)(355, 861)(356, 897)(357, 906)(358, 862)(359, 760)(360, 743)(361, 907)(362, 891)(363, 879)(364, 745)(365, 747)(366, 925)(367, 915)(368, 929)(369, 926)(370, 750)(371, 911)(372, 751)(373, 867)(374, 756)(375, 759)(376, 916)(377, 927)(378, 757)(379, 876)(380, 838)(381, 802)(382, 761)(383, 764)(384, 798)(385, 933)(386, 801)(387, 789)(388, 827)(389, 769)(390, 936)(391, 772)(392, 938)(393, 932)(394, 773)(395, 774)(396, 776)(397, 859)(398, 834)(399, 791)(400, 942)(401, 778)(402, 781)(403, 945)(404, 793)(405, 796)(406, 785)(407, 826)(408, 784)(409, 937)(410, 786)(411, 947)(412, 944)(413, 946)(414, 790)(415, 843)(416, 943)(417, 844)(418, 808)(419, 797)(420, 831)(421, 934)(422, 851)(423, 799)(424, 822)(425, 804)(426, 807)(427, 857)(428, 949)(429, 805)(430, 809)(431, 941)(432, 814)(433, 820)(434, 830)(435, 855)(436, 952)(437, 817)(438, 953)(439, 948)(440, 824)(441, 931)(442, 935)(443, 951)(444, 833)(445, 845)(446, 839)(447, 841)(448, 842)(449, 850)(450, 856)(451, 887)(452, 920)(453, 863)(454, 955)(455, 924)(456, 913)(457, 885)(458, 874)(459, 892)(460, 918)(461, 902)(462, 881)(463, 884)(464, 956)(465, 882)(466, 919)(467, 928)(468, 893)(469, 900)(470, 901)(471, 914)(472, 930)(473, 957)(474, 958)(475, 950)(476, 939)(477, 940)(478, 960)(479, 954)(480, 959)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3186
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 80 e = 480 f = 360
	degree seq :: [ 12^80 ]

E21.3191 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, (T2 * T1^2 * T2 * T1^-2)^2, T1^-1 * T2 * T1^2 * T2 * T1^4 * T2 * T1^2 * T2 * T1^-1, (T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 481, 3, 483)(2, 482, 6, 486)(4, 484, 9, 489)(5, 485, 12, 492)(7, 487, 16, 496)(8, 488, 17, 497)(10, 490, 21, 501)(11, 491, 22, 502)(13, 493, 26, 506)(14, 494, 27, 507)(15, 495, 30, 510)(18, 498, 34, 514)(19, 499, 36, 516)(20, 500, 31, 511)(23, 503, 43, 523)(24, 504, 44, 524)(25, 505, 47, 527)(28, 508, 50, 530)(29, 509, 51, 531)(32, 512, 55, 535)(33, 513, 58, 538)(35, 515, 62, 542)(37, 517, 65, 545)(38, 518, 67, 547)(39, 519, 63, 543)(40, 520, 70, 550)(41, 521, 71, 551)(42, 522, 74, 554)(45, 525, 77, 557)(46, 526, 78, 558)(48, 528, 81, 561)(49, 529, 84, 564)(52, 532, 90, 570)(53, 533, 91, 571)(54, 534, 93, 573)(56, 536, 95, 575)(57, 537, 96, 576)(59, 539, 100, 580)(60, 540, 97, 577)(61, 541, 102, 582)(64, 544, 105, 585)(66, 546, 99, 579)(68, 548, 111, 591)(69, 549, 113, 593)(72, 552, 116, 596)(73, 553, 117, 597)(75, 555, 120, 600)(76, 556, 123, 603)(79, 559, 128, 608)(80, 560, 129, 609)(82, 562, 131, 611)(83, 563, 132, 612)(85, 565, 135, 615)(86, 566, 133, 613)(87, 567, 138, 618)(88, 568, 139, 619)(89, 569, 141, 621)(92, 572, 144, 624)(94, 574, 148, 628)(98, 578, 153, 633)(101, 581, 157, 637)(103, 583, 160, 640)(104, 584, 162, 642)(106, 586, 164, 644)(107, 587, 165, 645)(108, 588, 145, 625)(109, 589, 167, 647)(110, 590, 168, 648)(112, 592, 171, 651)(114, 594, 173, 653)(115, 595, 176, 656)(118, 598, 181, 661)(119, 599, 182, 662)(121, 601, 184, 664)(122, 602, 185, 665)(124, 604, 186, 666)(125, 605, 189, 669)(126, 606, 190, 670)(127, 607, 192, 672)(130, 610, 196, 676)(134, 614, 201, 681)(136, 616, 204, 684)(137, 617, 195, 675)(140, 620, 208, 688)(142, 622, 211, 691)(143, 623, 179, 659)(146, 626, 217, 697)(147, 627, 218, 698)(149, 629, 221, 701)(150, 630, 219, 699)(151, 631, 223, 703)(152, 632, 225, 705)(154, 634, 191, 671)(155, 635, 227, 707)(156, 636, 228, 708)(158, 638, 203, 683)(159, 639, 231, 711)(161, 641, 234, 714)(163, 643, 238, 718)(166, 646, 241, 721)(169, 649, 244, 724)(170, 650, 235, 715)(172, 652, 247, 727)(174, 654, 249, 729)(175, 655, 250, 730)(177, 657, 251, 731)(178, 658, 254, 734)(180, 660, 256, 736)(183, 663, 260, 740)(187, 667, 265, 745)(188, 668, 259, 739)(193, 673, 272, 752)(194, 674, 246, 726)(197, 677, 277, 757)(198, 678, 275, 755)(199, 679, 279, 759)(200, 680, 281, 761)(202, 682, 255, 735)(205, 685, 285, 765)(206, 686, 286, 766)(207, 687, 289, 769)(209, 689, 291, 771)(210, 690, 292, 772)(212, 692, 294, 774)(213, 693, 295, 775)(214, 694, 297, 777)(215, 695, 298, 778)(216, 696, 299, 779)(220, 700, 303, 783)(222, 702, 304, 784)(224, 704, 306, 786)(226, 706, 310, 790)(229, 709, 313, 793)(230, 710, 307, 787)(232, 712, 315, 795)(233, 713, 316, 796)(236, 716, 321, 801)(237, 717, 312, 792)(239, 719, 322, 802)(240, 720, 245, 725)(242, 722, 258, 738)(243, 723, 309, 789)(248, 728, 331, 811)(252, 732, 336, 816)(253, 733, 330, 810)(257, 737, 340, 820)(261, 741, 345, 825)(262, 742, 343, 823)(263, 743, 347, 827)(264, 744, 349, 829)(266, 746, 328, 808)(267, 747, 350, 830)(268, 748, 351, 831)(269, 749, 354, 834)(270, 750, 355, 835)(271, 751, 356, 836)(273, 753, 358, 838)(274, 754, 359, 839)(276, 756, 361, 841)(278, 758, 362, 842)(280, 760, 364, 844)(282, 762, 367, 847)(283, 763, 368, 848)(284, 764, 365, 845)(287, 767, 370, 850)(288, 768, 371, 851)(290, 770, 372, 852)(293, 773, 377, 857)(296, 776, 376, 856)(300, 780, 369, 849)(301, 781, 382, 862)(302, 782, 383, 863)(305, 785, 385, 865)(308, 788, 388, 868)(311, 791, 375, 855)(314, 794, 393, 873)(317, 797, 391, 871)(318, 798, 397, 877)(319, 799, 380, 860)(320, 800, 374, 854)(323, 803, 373, 853)(324, 804, 337, 817)(325, 805, 327, 807)(326, 806, 386, 866)(329, 809, 399, 879)(332, 812, 402, 882)(333, 813, 401, 881)(334, 814, 404, 884)(335, 815, 406, 886)(338, 818, 407, 887)(339, 819, 408, 888)(341, 821, 411, 891)(342, 822, 412, 892)(344, 824, 414, 894)(346, 826, 415, 895)(348, 828, 416, 896)(352, 832, 418, 898)(353, 833, 419, 899)(357, 837, 420, 900)(360, 840, 422, 902)(363, 843, 424, 904)(366, 846, 426, 906)(378, 858, 432, 912)(379, 859, 433, 913)(381, 861, 434, 914)(384, 864, 398, 878)(387, 867, 437, 917)(389, 869, 429, 909)(390, 870, 423, 903)(392, 872, 427, 907)(394, 874, 438, 918)(395, 875, 435, 915)(396, 876, 439, 919)(400, 880, 441, 921)(403, 883, 442, 922)(405, 885, 443, 923)(409, 889, 445, 925)(410, 890, 446, 926)(413, 893, 448, 928)(417, 897, 450, 930)(421, 901, 451, 931)(425, 905, 452, 932)(428, 908, 454, 934)(430, 910, 455, 935)(431, 911, 456, 936)(436, 916, 458, 938)(440, 920, 460, 940)(444, 924, 463, 943)(447, 927, 464, 944)(449, 929, 465, 945)(453, 933, 467, 947)(457, 937, 470, 950)(459, 939, 469, 949)(461, 941, 471, 951)(462, 942, 472, 952)(466, 946, 474, 954)(468, 948, 476, 956)(473, 953, 478, 958)(475, 955, 479, 959)(477, 957, 480, 960)
	L = (1, 482)(2, 485)(3, 487)(4, 481)(5, 491)(6, 493)(7, 495)(8, 483)(9, 499)(10, 484)(11, 490)(12, 503)(13, 505)(14, 486)(15, 509)(16, 511)(17, 513)(18, 488)(19, 515)(20, 489)(21, 518)(22, 520)(23, 522)(24, 492)(25, 526)(26, 497)(27, 529)(28, 494)(29, 498)(30, 532)(31, 534)(32, 496)(33, 537)(34, 539)(35, 541)(36, 543)(37, 500)(38, 546)(39, 501)(40, 549)(41, 502)(42, 553)(43, 507)(44, 556)(45, 504)(46, 508)(47, 559)(48, 506)(49, 563)(50, 565)(51, 567)(52, 569)(53, 510)(54, 572)(55, 574)(56, 512)(57, 562)(58, 577)(59, 579)(60, 514)(61, 517)(62, 583)(63, 584)(64, 516)(65, 587)(66, 589)(67, 551)(68, 519)(69, 592)(70, 524)(71, 595)(72, 521)(73, 525)(74, 598)(75, 523)(76, 602)(77, 533)(78, 605)(79, 607)(80, 527)(81, 610)(82, 528)(83, 601)(84, 613)(85, 542)(86, 530)(87, 617)(88, 531)(89, 604)(90, 535)(91, 623)(92, 536)(93, 625)(94, 627)(95, 629)(96, 631)(97, 632)(98, 538)(99, 635)(100, 619)(101, 540)(102, 638)(103, 616)(104, 641)(105, 643)(106, 544)(107, 593)(108, 545)(109, 548)(110, 547)(111, 599)(112, 552)(113, 652)(114, 550)(115, 655)(116, 560)(117, 658)(118, 660)(119, 554)(120, 663)(121, 555)(122, 654)(123, 666)(124, 557)(125, 668)(126, 558)(127, 657)(128, 561)(129, 674)(130, 675)(131, 677)(132, 679)(133, 680)(134, 564)(135, 670)(136, 566)(137, 685)(138, 571)(139, 687)(140, 568)(141, 689)(142, 570)(143, 693)(144, 694)(145, 696)(146, 573)(147, 692)(148, 699)(149, 576)(150, 575)(151, 702)(152, 704)(153, 706)(154, 578)(155, 581)(156, 580)(157, 690)(158, 698)(159, 582)(160, 585)(161, 586)(162, 715)(163, 717)(164, 695)(165, 711)(166, 588)(167, 708)(168, 723)(169, 590)(170, 591)(171, 725)(172, 646)(173, 728)(174, 594)(175, 649)(176, 731)(177, 596)(178, 733)(179, 597)(180, 650)(181, 600)(182, 738)(183, 739)(184, 741)(185, 743)(186, 744)(187, 603)(188, 747)(189, 609)(190, 749)(191, 606)(192, 750)(193, 608)(194, 754)(195, 753)(196, 755)(197, 612)(198, 611)(199, 758)(200, 760)(201, 762)(202, 614)(203, 615)(204, 751)(205, 620)(206, 618)(207, 768)(208, 626)(209, 736)(210, 621)(211, 773)(212, 622)(213, 767)(214, 776)(215, 624)(216, 770)(217, 780)(218, 781)(219, 782)(220, 628)(221, 778)(222, 630)(223, 633)(224, 634)(225, 787)(226, 789)(227, 648)(228, 792)(229, 636)(230, 637)(231, 794)(232, 639)(233, 640)(234, 798)(235, 800)(236, 642)(237, 797)(238, 802)(239, 644)(240, 645)(241, 764)(242, 647)(243, 805)(244, 799)(245, 807)(246, 651)(247, 653)(248, 810)(249, 812)(250, 814)(251, 815)(252, 656)(253, 818)(254, 662)(255, 659)(256, 710)(257, 661)(258, 822)(259, 821)(260, 823)(261, 665)(262, 664)(263, 826)(264, 828)(265, 700)(266, 667)(267, 671)(268, 669)(269, 833)(270, 721)(271, 672)(272, 837)(273, 673)(274, 832)(275, 840)(276, 676)(277, 701)(278, 678)(279, 681)(280, 682)(281, 845)(282, 718)(283, 683)(284, 684)(285, 841)(286, 839)(287, 686)(288, 709)(289, 852)(290, 688)(291, 691)(292, 855)(293, 856)(294, 848)(295, 844)(296, 719)(297, 697)(298, 860)(299, 835)(300, 811)(301, 712)(302, 827)(303, 864)(304, 861)(305, 703)(306, 867)(307, 820)(308, 705)(309, 866)(310, 830)(311, 707)(312, 870)(313, 834)(314, 872)(315, 716)(316, 875)(317, 713)(318, 876)(319, 714)(320, 874)(321, 824)(322, 843)(323, 720)(324, 722)(325, 869)(326, 724)(327, 878)(328, 726)(329, 727)(330, 880)(331, 881)(332, 730)(333, 729)(334, 883)(335, 885)(336, 756)(337, 732)(338, 735)(339, 734)(340, 890)(341, 737)(342, 889)(343, 893)(344, 740)(345, 757)(346, 742)(347, 745)(348, 746)(349, 772)(350, 894)(351, 892)(352, 748)(353, 763)(354, 786)(355, 752)(356, 796)(357, 784)(358, 766)(359, 896)(360, 884)(361, 903)(362, 788)(363, 759)(364, 905)(365, 879)(366, 761)(367, 887)(368, 775)(369, 765)(370, 899)(371, 907)(372, 908)(373, 769)(374, 771)(375, 911)(376, 910)(377, 912)(378, 774)(379, 777)(380, 882)(381, 779)(382, 783)(383, 900)(384, 790)(385, 915)(386, 785)(387, 916)(388, 904)(389, 791)(390, 804)(391, 793)(392, 803)(393, 918)(394, 795)(395, 919)(396, 806)(397, 801)(398, 808)(399, 920)(400, 809)(401, 859)(402, 825)(403, 813)(404, 816)(405, 817)(406, 836)(407, 849)(408, 873)(409, 819)(410, 842)(411, 831)(412, 923)(413, 877)(414, 862)(415, 846)(416, 929)(417, 829)(418, 850)(419, 851)(420, 931)(421, 838)(422, 926)(423, 847)(424, 857)(425, 858)(426, 863)(427, 925)(428, 933)(429, 853)(430, 854)(431, 922)(432, 937)(433, 936)(434, 865)(435, 938)(436, 871)(437, 868)(438, 939)(439, 924)(440, 895)(441, 888)(442, 897)(443, 942)(444, 886)(445, 898)(446, 944)(447, 891)(448, 940)(449, 901)(450, 902)(451, 946)(452, 906)(453, 909)(454, 914)(455, 913)(456, 947)(457, 917)(458, 948)(459, 941)(460, 951)(461, 921)(462, 927)(463, 928)(464, 953)(465, 930)(466, 932)(467, 955)(468, 934)(469, 935)(470, 954)(471, 957)(472, 943)(473, 945)(474, 958)(475, 949)(476, 950)(477, 952)(478, 960)(479, 956)(480, 959)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E21.3187
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 240 e = 480 f = 200
	degree seq :: [ 4^240 ]

E21.3192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^6, (Y2 * Y1)^6, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map::
	R = (1, 481, 2, 482)(3, 483, 7, 487)(4, 484, 9, 489)(5, 485, 10, 490)(6, 486, 12, 492)(8, 488, 15, 495)(11, 491, 20, 500)(13, 493, 23, 503)(14, 494, 25, 505)(16, 496, 28, 508)(17, 497, 30, 510)(18, 498, 31, 511)(19, 499, 33, 513)(21, 501, 36, 516)(22, 502, 38, 518)(24, 504, 41, 521)(26, 506, 44, 524)(27, 507, 46, 526)(29, 509, 49, 529)(32, 512, 54, 534)(34, 514, 57, 537)(35, 515, 59, 539)(37, 517, 62, 542)(39, 519, 64, 544)(40, 520, 66, 546)(42, 522, 69, 549)(43, 523, 71, 551)(45, 525, 74, 554)(47, 527, 77, 557)(48, 528, 79, 559)(50, 530, 82, 562)(51, 531, 52, 532)(53, 533, 85, 565)(55, 535, 88, 568)(56, 536, 90, 570)(58, 538, 93, 573)(60, 540, 96, 576)(61, 541, 98, 578)(63, 543, 101, 581)(65, 545, 103, 583)(67, 547, 106, 586)(68, 548, 108, 588)(70, 550, 111, 591)(72, 552, 113, 593)(73, 553, 115, 595)(75, 555, 118, 598)(76, 556, 120, 600)(78, 558, 122, 602)(80, 560, 125, 605)(81, 561, 127, 607)(83, 563, 130, 610)(84, 564, 131, 611)(86, 566, 134, 614)(87, 567, 136, 616)(89, 569, 139, 619)(91, 571, 141, 621)(92, 572, 143, 623)(94, 574, 146, 626)(95, 575, 148, 628)(97, 577, 150, 630)(99, 579, 153, 633)(100, 580, 155, 635)(102, 582, 158, 638)(104, 584, 161, 641)(105, 585, 133, 613)(107, 587, 165, 645)(109, 589, 168, 648)(110, 590, 170, 650)(112, 592, 149, 629)(114, 594, 174, 654)(116, 596, 177, 657)(117, 597, 179, 659)(119, 599, 182, 662)(121, 601, 140, 620)(123, 603, 186, 666)(124, 604, 188, 668)(126, 606, 191, 671)(128, 608, 156, 636)(129, 609, 195, 675)(132, 612, 200, 680)(135, 615, 204, 684)(137, 617, 207, 687)(138, 618, 209, 689)(142, 622, 213, 693)(144, 624, 216, 696)(145, 625, 218, 698)(147, 627, 221, 701)(151, 631, 225, 705)(152, 632, 227, 707)(154, 634, 230, 710)(157, 637, 234, 714)(159, 639, 219, 699)(160, 640, 238, 718)(162, 642, 202, 682)(163, 643, 201, 681)(164, 644, 231, 711)(166, 646, 244, 724)(167, 647, 246, 726)(169, 649, 248, 728)(171, 651, 251, 731)(172, 652, 223, 703)(173, 653, 253, 733)(175, 655, 256, 736)(176, 656, 236, 716)(178, 658, 217, 697)(180, 660, 198, 678)(181, 661, 263, 743)(183, 663, 247, 727)(184, 664, 211, 691)(185, 665, 267, 747)(187, 667, 270, 750)(189, 669, 271, 751)(190, 670, 273, 753)(192, 672, 203, 683)(193, 673, 233, 713)(194, 674, 232, 712)(196, 676, 277, 757)(197, 677, 215, 695)(199, 679, 280, 760)(205, 685, 286, 766)(206, 686, 288, 768)(208, 688, 290, 770)(210, 690, 293, 773)(212, 692, 295, 775)(214, 694, 298, 778)(220, 700, 305, 785)(222, 702, 289, 769)(224, 704, 309, 789)(226, 706, 312, 792)(228, 708, 313, 793)(229, 709, 315, 795)(235, 715, 319, 799)(237, 717, 303, 783)(239, 719, 323, 803)(240, 720, 292, 772)(241, 721, 325, 805)(242, 722, 284, 764)(243, 723, 326, 806)(245, 725, 329, 809)(249, 729, 311, 791)(250, 730, 282, 762)(252, 732, 302, 782)(254, 734, 327, 807)(255, 735, 338, 818)(257, 737, 304, 784)(258, 738, 320, 800)(259, 739, 308, 788)(260, 740, 294, 774)(261, 741, 279, 759)(262, 742, 299, 779)(264, 744, 345, 825)(265, 745, 331, 811)(266, 746, 301, 781)(268, 748, 317, 797)(269, 749, 291, 771)(272, 752, 350, 830)(274, 754, 351, 831)(275, 755, 310, 790)(276, 756, 353, 833)(278, 758, 300, 780)(281, 761, 358, 838)(283, 763, 360, 840)(285, 765, 361, 841)(287, 767, 364, 844)(296, 776, 362, 842)(297, 777, 373, 853)(306, 786, 380, 860)(307, 787, 366, 846)(314, 794, 385, 865)(316, 796, 386, 866)(318, 798, 388, 868)(321, 801, 374, 854)(322, 802, 392, 872)(324, 804, 369, 849)(328, 808, 367, 847)(330, 810, 393, 873)(332, 812, 363, 843)(333, 813, 375, 855)(334, 814, 359, 839)(335, 815, 370, 850)(336, 816, 401, 881)(337, 817, 397, 877)(339, 819, 356, 836)(340, 820, 368, 848)(341, 821, 405, 885)(342, 822, 406, 886)(343, 823, 384, 864)(344, 824, 390, 870)(346, 826, 396, 876)(347, 827, 382, 862)(348, 828, 387, 867)(349, 829, 378, 858)(352, 832, 383, 863)(354, 834, 415, 895)(355, 835, 379, 859)(357, 837, 418, 898)(365, 845, 419, 899)(371, 851, 427, 907)(372, 852, 423, 903)(376, 856, 431, 911)(377, 857, 432, 912)(381, 861, 422, 902)(389, 869, 441, 921)(391, 871, 429, 909)(394, 874, 430, 910)(395, 875, 435, 915)(398, 878, 438, 918)(399, 879, 426, 906)(400, 880, 425, 905)(402, 882, 439, 919)(403, 883, 417, 897)(404, 884, 420, 900)(407, 887, 440, 920)(408, 888, 442, 922)(409, 889, 421, 901)(410, 890, 437, 917)(411, 891, 436, 916)(412, 892, 424, 904)(413, 893, 428, 908)(414, 894, 433, 913)(416, 896, 434, 914)(443, 923, 460, 940)(444, 924, 465, 945)(445, 925, 469, 949)(446, 926, 464, 944)(447, 927, 456, 936)(448, 928, 466, 946)(449, 929, 468, 948)(450, 930, 467, 947)(451, 931, 459, 939)(452, 932, 457, 937)(453, 933, 461, 941)(454, 934, 463, 943)(455, 935, 462, 942)(458, 938, 472, 952)(470, 950, 476, 956)(471, 951, 475, 955)(473, 953, 478, 958)(474, 954, 477, 957)(479, 959, 480, 960)(961, 1441, 963, 1443, 968, 1448, 964, 1444)(962, 1442, 965, 1445, 971, 1451, 966, 1446)(967, 1447, 973, 1453, 984, 1464, 974, 1454)(969, 1449, 976, 1456, 989, 1469, 977, 1457)(970, 1450, 978, 1458, 992, 1472, 979, 1459)(972, 1452, 981, 1461, 997, 1477, 982, 1462)(975, 1455, 986, 1466, 1005, 1485, 987, 1467)(980, 1460, 994, 1474, 1018, 1498, 995, 1475)(983, 1463, 999, 1479, 1025, 1505, 1000, 1480)(985, 1465, 1002, 1482, 1030, 1510, 1003, 1483)(988, 1468, 1007, 1487, 1038, 1518, 1008, 1488)(990, 1470, 1010, 1490, 1043, 1523, 1011, 1491)(991, 1471, 1012, 1492, 1044, 1524, 1013, 1493)(993, 1473, 1015, 1495, 1049, 1529, 1016, 1496)(996, 1476, 1020, 1500, 1057, 1537, 1021, 1501)(998, 1478, 1023, 1503, 1062, 1542, 1024, 1504)(1001, 1481, 1027, 1507, 1067, 1547, 1028, 1508)(1004, 1484, 1032, 1512, 1074, 1554, 1033, 1513)(1006, 1486, 1035, 1515, 1079, 1559, 1036, 1516)(1009, 1489, 1040, 1520, 1086, 1566, 1041, 1521)(1014, 1494, 1046, 1526, 1095, 1575, 1047, 1527)(1017, 1497, 1051, 1531, 1102, 1582, 1052, 1532)(1019, 1499, 1054, 1534, 1107, 1587, 1055, 1535)(1022, 1502, 1059, 1539, 1114, 1594, 1060, 1540)(1026, 1506, 1064, 1544, 1122, 1602, 1065, 1545)(1029, 1509, 1069, 1549, 1129, 1609, 1070, 1550)(1031, 1511, 1072, 1552, 1133, 1613, 1073, 1553)(1034, 1514, 1076, 1556, 1138, 1618, 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1241, 1721, 1319, 1799, 1242, 1722)(1164, 1644, 1244, 1724, 1190, 1670, 1245, 1725)(1167, 1647, 1248, 1728, 1325, 1805, 1249, 1729)(1169, 1649, 1251, 1731, 1328, 1808, 1252, 1732)(1173, 1653, 1256, 1736, 1332, 1812, 1257, 1737)(1176, 1656, 1260, 1740, 1336, 1816, 1261, 1741)(1178, 1658, 1262, 1742, 1337, 1817, 1263, 1743)(1181, 1661, 1266, 1746, 1341, 1821, 1267, 1747)(1185, 1665, 1270, 1750, 1344, 1824, 1271, 1751)(1187, 1667, 1255, 1735, 1331, 1811, 1273, 1753)(1194, 1674, 1277, 1757, 1347, 1827, 1278, 1758)(1198, 1678, 1281, 1761, 1351, 1831, 1282, 1762)(1204, 1684, 1287, 1767, 1230, 1710, 1288, 1768)(1208, 1688, 1291, 1771, 1233, 1713, 1292, 1772)(1211, 1691, 1294, 1774, 1360, 1840, 1295, 1775)(1216, 1696, 1299, 1779, 1364, 1844, 1300, 1780)(1223, 1703, 1303, 1783, 1367, 1847, 1304, 1784)(1227, 1707, 1307, 1787, 1370, 1850, 1308, 1788)(1237, 1717, 1314, 1794, 1376, 1856, 1315, 1795)(1240, 1720, 1316, 1796, 1377, 1857, 1317, 1797)(1246, 1726, 1322, 1802, 1272, 1752, 1323, 1803)(1250, 1730, 1326, 1806, 1275, 1755, 1327, 1807)(1253, 1733, 1329, 1809, 1386, 1866, 1330, 1810)(1258, 1738, 1334, 1814, 1390, 1870, 1335, 1815)(1265, 1745, 1338, 1818, 1393, 1873, 1339, 1819)(1269, 1749, 1342, 1822, 1396, 1876, 1343, 1823)(1279, 1759, 1349, 1829, 1402, 1882, 1350, 1830)(1283, 1763, 1352, 1832, 1403, 1883, 1353, 1833)(1285, 1765, 1354, 1834, 1404, 1884, 1355, 1835)(1286, 1766, 1356, 1836, 1405, 1885, 1357, 1837)(1289, 1769, 1358, 1838, 1406, 1886, 1359, 1839)(1298, 1778, 1362, 1842, 1408, 1888, 1363, 1843)(1305, 1785, 1368, 1848, 1413, 1893, 1369, 1849)(1310, 1790, 1371, 1851, 1414, 1894, 1372, 1852)(1311, 1791, 1373, 1853, 1415, 1895, 1374, 1854)(1313, 1793, 1361, 1841, 1407, 1887, 1375, 1855)(1318, 1798, 1378, 1858, 1416, 1896, 1379, 1859)(1320, 1800, 1380, 1860, 1417, 1897, 1381, 1861)(1321, 1801, 1382, 1862, 1418, 1898, 1383, 1863)(1324, 1804, 1384, 1864, 1419, 1899, 1385, 1865)(1333, 1813, 1388, 1868, 1421, 1901, 1389, 1869)(1340, 1820, 1394, 1874, 1426, 1906, 1395, 1875)(1345, 1825, 1397, 1877, 1427, 1907, 1398, 1878)(1346, 1826, 1399, 1879, 1428, 1908, 1400, 1880)(1348, 1828, 1387, 1867, 1420, 1900, 1401, 1881)(1365, 1845, 1409, 1889, 1430, 1910, 1410, 1890)(1366, 1846, 1411, 1891, 1431, 1911, 1412, 1892)(1391, 1871, 1422, 1902, 1433, 1913, 1423, 1903)(1392, 1872, 1424, 1904, 1434, 1914, 1425, 1905)(1429, 1909, 1435, 1915, 1439, 1919, 1436, 1916)(1432, 1912, 1437, 1917, 1440, 1920, 1438, 1918)
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	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3195
Graph:: bipartite
	v = 360 e = 960 f = 560
	degree seq :: [ 4^240, 8^120 ]

E21.3193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1)^2, R * Y2 * R * Y3, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2^6, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1, (Y2 * Y1^-1)^6, Y2^-1 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1 * Y2^-2 * Y1^-2 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1)^2 ]
Map::
	R = (1, 481, 2, 482, 6, 486, 4, 484)(3, 483, 9, 489, 21, 501, 11, 491)(5, 485, 13, 493, 18, 498, 7, 487)(8, 488, 19, 499, 33, 513, 15, 495)(10, 490, 23, 503, 47, 527, 25, 505)(12, 492, 16, 496, 34, 514, 28, 508)(14, 494, 31, 511, 58, 538, 29, 509)(17, 497, 36, 516, 69, 549, 38, 518)(20, 500, 42, 522, 77, 557, 40, 520)(22, 502, 45, 525, 82, 562, 43, 523)(24, 504, 49, 529, 92, 572, 50, 530)(26, 506, 44, 524, 83, 563, 53, 533)(27, 507, 54, 534, 100, 580, 55, 535)(30, 510, 59, 539, 75, 555, 39, 519)(32, 512, 62, 542, 114, 594, 64, 544)(35, 515, 68, 548, 122, 602, 66, 546)(37, 517, 71, 551, 130, 610, 72, 552)(41, 521, 78, 558, 120, 600, 65, 545)(46, 526, 87, 567, 155, 635, 85, 565)(48, 528, 90, 570, 160, 640, 88, 568)(51, 531, 89, 569, 161, 641, 96, 576)(52, 532, 97, 577, 171, 651, 98, 578)(56, 536, 67, 547, 123, 603, 104, 584)(57, 537, 105, 585, 182, 662, 107, 587)(60, 540, 111, 591, 187, 667, 109, 589)(61, 541, 112, 592, 186, 666, 108, 588)(63, 543, 116, 596, 194, 674, 117, 597)(70, 550, 128, 608, 212, 692, 126, 606)(73, 553, 127, 607, 213, 693, 134, 614)(74, 554, 135, 615, 221, 701, 136, 616)(76, 556, 138, 618, 225, 705, 140, 620)(79, 559, 144, 624, 230, 710, 142, 622)(80, 560, 145, 625, 229, 709, 141, 621)(81, 561, 147, 627, 233, 713, 149, 629)(84, 564, 153, 633, 239, 719, 151, 631)(86, 566, 156, 636, 237, 717, 150, 630)(91, 571, 163, 643, 216, 696, 131, 611)(93, 573, 166, 646, 255, 735, 164, 644)(94, 574, 165, 645, 227, 707, 139, 619)(95, 575, 168, 648, 258, 738, 169, 649)(99, 579, 152, 632, 201, 681, 143, 623)(101, 581, 167, 647, 257, 737, 175, 655)(102, 582, 176, 656, 266, 746, 178, 658)(103, 583, 179, 659, 269, 749, 180, 660)(106, 586, 154, 634, 242, 722, 184, 664)(110, 590, 181, 661, 207, 687, 137, 617)(113, 593, 189, 669, 260, 740, 172, 652)(115, 595, 192, 672, 282, 762, 190, 670)(118, 598, 191, 671, 283, 763, 198, 678)(119, 599, 199, 679, 291, 771, 200, 680)(121, 601, 202, 682, 295, 775, 204, 684)(124, 604, 208, 688, 300, 780, 206, 686)(125, 605, 209, 689, 299, 779, 205, 685)(129, 609, 215, 695, 286, 766, 195, 675)(132, 612, 217, 697, 297, 777, 203, 683)(133, 613, 218, 698, 312, 792, 219, 699)(146, 626, 232, 712, 314, 794, 222, 702)(148, 628, 196, 676, 287, 767, 235, 715)(157, 637, 246, 726, 343, 823, 244, 724)(158, 638, 193, 673, 285, 765, 243, 723)(159, 639, 247, 727, 345, 825, 249, 729)(162, 642, 252, 732, 349, 829, 250, 730)(170, 650, 251, 731, 335, 815, 245, 725)(173, 653, 261, 741, 360, 840, 263, 743)(174, 654, 220, 700, 307, 787, 264, 744)(177, 657, 238, 718, 336, 816, 268, 748)(183, 663, 272, 752, 372, 852, 271, 751)(185, 665, 275, 755, 374, 854, 276, 756)(188, 668, 278, 758, 378, 858, 277, 757)(197, 677, 288, 768, 389, 869, 289, 769)(210, 690, 302, 782, 391, 871, 292, 772)(211, 691, 303, 783, 406, 886, 305, 785)(214, 694, 308, 788, 410, 890, 306, 786)(223, 703, 315, 795, 419, 899, 317, 797)(224, 704, 290, 770, 384, 864, 318, 798)(226, 706, 320, 800, 423, 903, 319, 799)(228, 708, 323, 803, 425, 905, 324, 804)(231, 711, 326, 806, 429, 909, 325, 805)(234, 714, 330, 810, 430, 910, 329, 809)(236, 716, 333, 813, 432, 912, 334, 814)(240, 720, 338, 818, 395, 875, 294, 774)(241, 721, 339, 819, 437, 917, 337, 817)(248, 728, 332, 812, 388, 868, 347, 827)(253, 733, 331, 811, 414, 894, 310, 790)(254, 734, 352, 832, 398, 878, 354, 834)(256, 736, 355, 835, 381, 861, 322, 802)(259, 739, 357, 837, 426, 906, 327, 807)(262, 742, 348, 828, 418, 898, 328, 808)(265, 745, 356, 836, 417, 897, 364, 844)(267, 747, 366, 846, 445, 925, 365, 845)(270, 750, 368, 848, 449, 929, 370, 850)(273, 753, 373, 853, 387, 867, 309, 789)(274, 754, 341, 821, 408, 888, 304, 784)(279, 759, 367, 847, 435, 915, 375, 855)(280, 760, 369, 849, 446, 926, 359, 839)(281, 761, 380, 860, 358, 838, 382, 862)(284, 764, 385, 865, 453, 933, 383, 863)(293, 773, 392, 872, 458, 938, 394, 874)(296, 776, 397, 877, 379, 859, 396, 876)(298, 778, 400, 880, 462, 942, 401, 881)(301, 781, 403, 883, 465, 945, 402, 882)(311, 791, 415, 895, 363, 843, 399, 879)(313, 793, 416, 896, 463, 943, 404, 884)(316, 796, 409, 889, 457, 937, 405, 885)(321, 801, 424, 904, 342, 822, 386, 866)(340, 820, 390, 870, 456, 936, 433, 913)(344, 824, 393, 873, 452, 932, 440, 920)(346, 826, 441, 921, 451, 931, 407, 887)(350, 830, 443, 923, 471, 951, 434, 914)(351, 831, 428, 908, 469, 949, 420, 900)(353, 833, 442, 922, 455, 935, 444, 924)(361, 841, 427, 907, 377, 857, 447, 927)(362, 842, 411, 891, 467, 947, 448, 928)(371, 851, 431, 911, 461, 941, 422, 902)(376, 856, 436, 916, 472, 952, 450, 930)(412, 892, 464, 944, 476, 956, 459, 939)(413, 893, 466, 946, 439, 919, 468, 948)(421, 901, 454, 934, 475, 955, 470, 950)(438, 918, 473, 953, 477, 957, 460, 940)(474, 954, 478, 958, 480, 960, 479, 959)(961, 1441, 963, 1443, 970, 1450, 984, 1464, 974, 1454, 965, 1445)(962, 1442, 967, 1447, 977, 1457, 997, 1477, 980, 1460, 968, 1448)(964, 1444, 972, 1452, 987, 1467, 1006, 1486, 982, 1462, 969, 1449)(966, 1446, 975, 1455, 992, 1472, 1023, 1503, 995, 1475, 976, 1456)(971, 1451, 986, 1466, 1012, 1492, 1051, 1531, 1008, 1488, 983, 1463)(973, 1453, 989, 1469, 1017, 1497, 1066, 1546, 1020, 1500, 990, 1470)(978, 1458, 999, 1479, 1034, 1514, 1089, 1569, 1030, 1510, 996, 1476)(979, 1459, 1000, 1480, 1036, 1516, 1099, 1579, 1039, 1519, 1001, 1481)(981, 1461, 1003, 1483, 1041, 1521, 1108, 1588, 1044, 1524, 1004, 1484)(985, 1465, 1011, 1491, 1055, 1535, 1127, 1607, 1053, 1533, 1009, 1489)(988, 1468, 1016, 1496, 1063, 1543, 1126, 1606, 1061, 1541, 1014, 1494)(991, 1471, 1010, 1490, 1054, 1534, 1100, 1580, 1073, 1553, 1021, 1501)(993, 1473, 1025, 1505, 1079, 1559, 1153, 1633, 1075, 1555, 1022, 1502)(994, 1474, 1026, 1506, 1081, 1561, 1163, 1643, 1084, 1564, 1027, 1507)(998, 1478, 1033, 1513, 1093, 1573, 1050, 1530, 1091, 1571, 1031, 1511)(1002, 1482, 1032, 1512, 1092, 1572, 1164, 1644, 1106, 1586, 1040, 1520)(1005, 1485, 1045, 1525, 1114, 1594, 1067, 1547, 1117, 1597, 1046, 1526)(1007, 1487, 1048, 1528, 1119, 1599, 1208, 1688, 1122, 1602, 1049, 1529)(1013, 1493, 1059, 1539, 1134, 1614, 1072, 1552, 1132, 1612, 1057, 1537)(1015, 1495, 1062, 1542, 1137, 1617, 1152, 1632, 1118, 1598, 1047, 1527)(1018, 1498, 1068, 1548, 1145, 1625, 1233, 1713, 1143, 1623, 1065, 1545)(1019, 1499, 1069, 1549, 1128, 1608, 1056, 1536, 1130, 1610, 1070, 1550)(1024, 1504, 1078, 1558, 1157, 1637, 1088, 1568, 1155, 1635, 1076, 1556)(1028, 1508, 1077, 1557, 1156, 1636, 1109, 1589, 1170, 1650, 1085, 1565)(1029, 1509, 1086, 1566, 1171, 1651, 1264, 1744, 1174, 1654, 1087, 1567)(1035, 1515, 1097, 1577, 1184, 1664, 1105, 1585, 1182, 1662, 1095, 1575)(1037, 1517, 1101, 1581, 1188, 1668, 1281, 1761, 1186, 1666, 1098, 1578)(1038, 1518, 1102, 1582, 1178, 1658, 1094, 1574, 1180, 1660, 1103, 1583)(1042, 1522, 1110, 1590, 1196, 1676, 1291, 1771, 1194, 1674, 1107, 1587)(1043, 1523, 1111, 1591, 1198, 1678, 1138, 1618, 1200, 1680, 1112, 1592)(1052, 1532, 1124, 1604, 1214, 1694, 1313, 1793, 1216, 1696, 1125, 1605)(1058, 1538, 1133, 1613, 1222, 1702, 1290, 1770, 1213, 1693, 1123, 1603)(1060, 1540, 1135, 1615, 1225, 1705, 1323, 1803, 1227, 1707, 1136, 1616)(1064, 1544, 1141, 1621, 1205, 1685, 1116, 1596, 1204, 1684, 1139, 1619)(1071, 1551, 1144, 1624, 1234, 1714, 1265, 1745, 1239, 1719, 1148, 1628)(1074, 1554, 1150, 1630, 1241, 1721, 1341, 1821, 1244, 1724, 1151, 1631)(1080, 1560, 1161, 1641, 1254, 1734, 1169, 1649, 1252, 1732, 1159, 1639)(1082, 1562, 1165, 1645, 1258, 1738, 1358, 1838, 1256, 1736, 1162, 1642)(1083, 1563, 1166, 1646, 1248, 1728, 1158, 1638, 1250, 1730, 1167, 1647)(1090, 1570, 1176, 1656, 1270, 1750, 1373, 1853, 1271, 1751, 1177, 1657)(1096, 1576, 1183, 1663, 1276, 1756, 1232, 1712, 1269, 1749, 1175, 1655)(1104, 1584, 1187, 1667, 1282, 1762, 1342, 1822, 1287, 1767, 1191, 1671)(1113, 1593, 1195, 1675, 1292, 1772, 1209, 1689, 1300, 1780, 1201, 1681)(1115, 1595, 1203, 1683, 1302, 1782, 1399, 1879, 1301, 1781, 1202, 1682)(1120, 1600, 1179, 1659, 1273, 1753, 1377, 1857, 1306, 1786, 1207, 1687)(1121, 1601, 1210, 1690, 1308, 1788, 1223, 1703, 1310, 1790, 1211, 1691)(1129, 1609, 1219, 1699, 1318, 1798, 1401, 1881, 1316, 1796, 1217, 1697)(1131, 1611, 1220, 1700, 1319, 1799, 1405, 1885, 1321, 1801, 1221, 1701)(1140, 1620, 1230, 1710, 1329, 1809, 1357, 1837, 1312, 1792, 1215, 1695)(1142, 1622, 1231, 1711, 1331, 1811, 1383, 1863, 1304, 1784, 1206, 1686)(1146, 1626, 1224, 1704, 1322, 1802, 1238, 1718, 1335, 1815, 1235, 1715)(1147, 1627, 1237, 1717, 1337, 1817, 1385, 1865, 1317, 1797, 1218, 1698)(1149, 1629, 1185, 1665, 1279, 1759, 1382, 1862, 1339, 1819, 1240, 1720)(1154, 1634, 1246, 1726, 1347, 1827, 1415, 1895, 1348, 1828, 1247, 1727)(1160, 1640, 1253, 1733, 1353, 1833, 1280, 1760, 1346, 1826, 1245, 1725)(1168, 1648, 1257, 1737, 1359, 1839, 1324, 1804, 1364, 1844, 1261, 1741)(1172, 1652, 1249, 1729, 1350, 1830, 1305, 1785, 1367, 1847, 1263, 1743)(1173, 1653, 1266, 1746, 1369, 1849, 1277, 1757, 1371, 1851, 1267, 1747)(1181, 1661, 1274, 1754, 1378, 1858, 1309, 1789, 1380, 1860, 1275, 1755)(1189, 1669, 1278, 1758, 1381, 1861, 1286, 1766, 1386, 1866, 1283, 1763)(1190, 1670, 1285, 1765, 1388, 1868, 1422, 1902, 1376, 1856, 1272, 1752)(1192, 1672, 1255, 1735, 1356, 1836, 1421, 1901, 1390, 1870, 1288, 1768)(1193, 1673, 1289, 1769, 1391, 1871, 1332, 1812, 1365, 1845, 1262, 1742)(1197, 1677, 1295, 1775, 1394, 1874, 1299, 1779, 1393, 1873, 1293, 1773)(1199, 1679, 1297, 1777, 1396, 1876, 1334, 1814, 1395, 1875, 1296, 1776)(1212, 1692, 1307, 1787, 1402, 1882, 1314, 1794, 1361, 1841, 1311, 1791)(1226, 1706, 1325, 1805, 1406, 1886, 1330, 1810, 1398, 1878, 1298, 1778)(1228, 1708, 1327, 1807, 1366, 1846, 1411, 1891, 1340, 1820, 1242, 1722)(1229, 1709, 1303, 1783, 1400, 1880, 1413, 1893, 1410, 1890, 1328, 1808)(1236, 1716, 1336, 1816, 1345, 1825, 1315, 1795, 1404, 1884, 1333, 1813)(1243, 1723, 1343, 1823, 1412, 1892, 1354, 1834, 1414, 1894, 1344, 1824)(1251, 1731, 1351, 1831, 1417, 1897, 1370, 1850, 1419, 1899, 1352, 1832)(1259, 1739, 1355, 1835, 1420, 1900, 1363, 1843, 1423, 1903, 1360, 1840)(1260, 1740, 1362, 1842, 1424, 1904, 1392, 1872, 1416, 1896, 1349, 1829)(1268, 1748, 1368, 1848, 1426, 1906, 1374, 1854, 1294, 1774, 1372, 1852)(1284, 1764, 1387, 1867, 1326, 1806, 1375, 1855, 1428, 1908, 1384, 1864)(1320, 1800, 1407, 1887, 1338, 1818, 1408, 1888, 1434, 1914, 1403, 1883)(1379, 1859, 1429, 1909, 1389, 1869, 1430, 1910, 1438, 1918, 1427, 1907)(1397, 1877, 1431, 1911, 1439, 1919, 1433, 1913, 1409, 1889, 1432, 1912)(1418, 1898, 1436, 1916, 1425, 1905, 1437, 1917, 1440, 1920, 1435, 1915)
	L = (1, 963)(2, 967)(3, 970)(4, 972)(5, 961)(6, 975)(7, 977)(8, 962)(9, 964)(10, 984)(11, 986)(12, 987)(13, 989)(14, 965)(15, 992)(16, 966)(17, 997)(18, 999)(19, 1000)(20, 968)(21, 1003)(22, 969)(23, 971)(24, 974)(25, 1011)(26, 1012)(27, 1006)(28, 1016)(29, 1017)(30, 973)(31, 1010)(32, 1023)(33, 1025)(34, 1026)(35, 976)(36, 978)(37, 980)(38, 1033)(39, 1034)(40, 1036)(41, 979)(42, 1032)(43, 1041)(44, 981)(45, 1045)(46, 982)(47, 1048)(48, 983)(49, 985)(50, 1054)(51, 1055)(52, 1051)(53, 1059)(54, 988)(55, 1062)(56, 1063)(57, 1066)(58, 1068)(59, 1069)(60, 990)(61, 991)(62, 993)(63, 995)(64, 1078)(65, 1079)(66, 1081)(67, 994)(68, 1077)(69, 1086)(70, 996)(71, 998)(72, 1092)(73, 1093)(74, 1089)(75, 1097)(76, 1099)(77, 1101)(78, 1102)(79, 1001)(80, 1002)(81, 1108)(82, 1110)(83, 1111)(84, 1004)(85, 1114)(86, 1005)(87, 1015)(88, 1119)(89, 1007)(90, 1091)(91, 1008)(92, 1124)(93, 1009)(94, 1100)(95, 1127)(96, 1130)(97, 1013)(98, 1133)(99, 1134)(100, 1135)(101, 1014)(102, 1137)(103, 1126)(104, 1141)(105, 1018)(106, 1020)(107, 1117)(108, 1145)(109, 1128)(110, 1019)(111, 1144)(112, 1132)(113, 1021)(114, 1150)(115, 1022)(116, 1024)(117, 1156)(118, 1157)(119, 1153)(120, 1161)(121, 1163)(122, 1165)(123, 1166)(124, 1027)(125, 1028)(126, 1171)(127, 1029)(128, 1155)(129, 1030)(130, 1176)(131, 1031)(132, 1164)(133, 1050)(134, 1180)(135, 1035)(136, 1183)(137, 1184)(138, 1037)(139, 1039)(140, 1073)(141, 1188)(142, 1178)(143, 1038)(144, 1187)(145, 1182)(146, 1040)(147, 1042)(148, 1044)(149, 1170)(150, 1196)(151, 1198)(152, 1043)(153, 1195)(154, 1067)(155, 1203)(156, 1204)(157, 1046)(158, 1047)(159, 1208)(160, 1179)(161, 1210)(162, 1049)(163, 1058)(164, 1214)(165, 1052)(166, 1061)(167, 1053)(168, 1056)(169, 1219)(170, 1070)(171, 1220)(172, 1057)(173, 1222)(174, 1072)(175, 1225)(176, 1060)(177, 1152)(178, 1200)(179, 1064)(180, 1230)(181, 1205)(182, 1231)(183, 1065)(184, 1234)(185, 1233)(186, 1224)(187, 1237)(188, 1071)(189, 1185)(190, 1241)(191, 1074)(192, 1118)(193, 1075)(194, 1246)(195, 1076)(196, 1109)(197, 1088)(198, 1250)(199, 1080)(200, 1253)(201, 1254)(202, 1082)(203, 1084)(204, 1106)(205, 1258)(206, 1248)(207, 1083)(208, 1257)(209, 1252)(210, 1085)(211, 1264)(212, 1249)(213, 1266)(214, 1087)(215, 1096)(216, 1270)(217, 1090)(218, 1094)(219, 1273)(220, 1103)(221, 1274)(222, 1095)(223, 1276)(224, 1105)(225, 1279)(226, 1098)(227, 1282)(228, 1281)(229, 1278)(230, 1285)(231, 1104)(232, 1255)(233, 1289)(234, 1107)(235, 1292)(236, 1291)(237, 1295)(238, 1138)(239, 1297)(240, 1112)(241, 1113)(242, 1115)(243, 1302)(244, 1139)(245, 1116)(246, 1142)(247, 1120)(248, 1122)(249, 1300)(250, 1308)(251, 1121)(252, 1307)(253, 1123)(254, 1313)(255, 1140)(256, 1125)(257, 1129)(258, 1147)(259, 1318)(260, 1319)(261, 1131)(262, 1290)(263, 1310)(264, 1322)(265, 1323)(266, 1325)(267, 1136)(268, 1327)(269, 1303)(270, 1329)(271, 1331)(272, 1269)(273, 1143)(274, 1265)(275, 1146)(276, 1336)(277, 1337)(278, 1335)(279, 1148)(280, 1149)(281, 1341)(282, 1228)(283, 1343)(284, 1151)(285, 1160)(286, 1347)(287, 1154)(288, 1158)(289, 1350)(290, 1167)(291, 1351)(292, 1159)(293, 1353)(294, 1169)(295, 1356)(296, 1162)(297, 1359)(298, 1358)(299, 1355)(300, 1362)(301, 1168)(302, 1193)(303, 1172)(304, 1174)(305, 1239)(306, 1369)(307, 1173)(308, 1368)(309, 1175)(310, 1373)(311, 1177)(312, 1190)(313, 1377)(314, 1378)(315, 1181)(316, 1232)(317, 1371)(318, 1381)(319, 1382)(320, 1346)(321, 1186)(322, 1342)(323, 1189)(324, 1387)(325, 1388)(326, 1386)(327, 1191)(328, 1192)(329, 1391)(330, 1213)(331, 1194)(332, 1209)(333, 1197)(334, 1372)(335, 1394)(336, 1199)(337, 1396)(338, 1226)(339, 1393)(340, 1201)(341, 1202)(342, 1399)(343, 1400)(344, 1206)(345, 1367)(346, 1207)(347, 1402)(348, 1223)(349, 1380)(350, 1211)(351, 1212)(352, 1215)(353, 1216)(354, 1361)(355, 1404)(356, 1217)(357, 1218)(358, 1401)(359, 1405)(360, 1407)(361, 1221)(362, 1238)(363, 1227)(364, 1364)(365, 1406)(366, 1375)(367, 1366)(368, 1229)(369, 1357)(370, 1398)(371, 1383)(372, 1365)(373, 1236)(374, 1395)(375, 1235)(376, 1345)(377, 1385)(378, 1408)(379, 1240)(380, 1242)(381, 1244)(382, 1287)(383, 1412)(384, 1243)(385, 1315)(386, 1245)(387, 1415)(388, 1247)(389, 1260)(390, 1305)(391, 1417)(392, 1251)(393, 1280)(394, 1414)(395, 1420)(396, 1421)(397, 1312)(398, 1256)(399, 1324)(400, 1259)(401, 1311)(402, 1424)(403, 1423)(404, 1261)(405, 1262)(406, 1411)(407, 1263)(408, 1426)(409, 1277)(410, 1419)(411, 1267)(412, 1268)(413, 1271)(414, 1294)(415, 1428)(416, 1272)(417, 1306)(418, 1309)(419, 1429)(420, 1275)(421, 1286)(422, 1339)(423, 1304)(424, 1284)(425, 1317)(426, 1283)(427, 1326)(428, 1422)(429, 1430)(430, 1288)(431, 1332)(432, 1416)(433, 1293)(434, 1299)(435, 1296)(436, 1334)(437, 1431)(438, 1298)(439, 1301)(440, 1413)(441, 1316)(442, 1314)(443, 1320)(444, 1333)(445, 1321)(446, 1330)(447, 1338)(448, 1434)(449, 1432)(450, 1328)(451, 1340)(452, 1354)(453, 1410)(454, 1344)(455, 1348)(456, 1349)(457, 1370)(458, 1436)(459, 1352)(460, 1363)(461, 1390)(462, 1376)(463, 1360)(464, 1392)(465, 1437)(466, 1374)(467, 1379)(468, 1384)(469, 1389)(470, 1438)(471, 1439)(472, 1397)(473, 1409)(474, 1403)(475, 1418)(476, 1425)(477, 1440)(478, 1427)(479, 1433)(480, 1435)(481, 1441)(482, 1442)(483, 1443)(484, 1444)(485, 1445)(486, 1446)(487, 1447)(488, 1448)(489, 1449)(490, 1450)(491, 1451)(492, 1452)(493, 1453)(494, 1454)(495, 1455)(496, 1456)(497, 1457)(498, 1458)(499, 1459)(500, 1460)(501, 1461)(502, 1462)(503, 1463)(504, 1464)(505, 1465)(506, 1466)(507, 1467)(508, 1468)(509, 1469)(510, 1470)(511, 1471)(512, 1472)(513, 1473)(514, 1474)(515, 1475)(516, 1476)(517, 1477)(518, 1478)(519, 1479)(520, 1480)(521, 1481)(522, 1482)(523, 1483)(524, 1484)(525, 1485)(526, 1486)(527, 1487)(528, 1488)(529, 1489)(530, 1490)(531, 1491)(532, 1492)(533, 1493)(534, 1494)(535, 1495)(536, 1496)(537, 1497)(538, 1498)(539, 1499)(540, 1500)(541, 1501)(542, 1502)(543, 1503)(544, 1504)(545, 1505)(546, 1506)(547, 1507)(548, 1508)(549, 1509)(550, 1510)(551, 1511)(552, 1512)(553, 1513)(554, 1514)(555, 1515)(556, 1516)(557, 1517)(558, 1518)(559, 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1610)(651, 1611)(652, 1612)(653, 1613)(654, 1614)(655, 1615)(656, 1616)(657, 1617)(658, 1618)(659, 1619)(660, 1620)(661, 1621)(662, 1622)(663, 1623)(664, 1624)(665, 1625)(666, 1626)(667, 1627)(668, 1628)(669, 1629)(670, 1630)(671, 1631)(672, 1632)(673, 1633)(674, 1634)(675, 1635)(676, 1636)(677, 1637)(678, 1638)(679, 1639)(680, 1640)(681, 1641)(682, 1642)(683, 1643)(684, 1644)(685, 1645)(686, 1646)(687, 1647)(688, 1648)(689, 1649)(690, 1650)(691, 1651)(692, 1652)(693, 1653)(694, 1654)(695, 1655)(696, 1656)(697, 1657)(698, 1658)(699, 1659)(700, 1660)(701, 1661)(702, 1662)(703, 1663)(704, 1664)(705, 1665)(706, 1666)(707, 1667)(708, 1668)(709, 1669)(710, 1670)(711, 1671)(712, 1672)(713, 1673)(714, 1674)(715, 1675)(716, 1676)(717, 1677)(718, 1678)(719, 1679)(720, 1680)(721, 1681)(722, 1682)(723, 1683)(724, 1684)(725, 1685)(726, 1686)(727, 1687)(728, 1688)(729, 1689)(730, 1690)(731, 1691)(732, 1692)(733, 1693)(734, 1694)(735, 1695)(736, 1696)(737, 1697)(738, 1698)(739, 1699)(740, 1700)(741, 1701)(742, 1702)(743, 1703)(744, 1704)(745, 1705)(746, 1706)(747, 1707)(748, 1708)(749, 1709)(750, 1710)(751, 1711)(752, 1712)(753, 1713)(754, 1714)(755, 1715)(756, 1716)(757, 1717)(758, 1718)(759, 1719)(760, 1720)(761, 1721)(762, 1722)(763, 1723)(764, 1724)(765, 1725)(766, 1726)(767, 1727)(768, 1728)(769, 1729)(770, 1730)(771, 1731)(772, 1732)(773, 1733)(774, 1734)(775, 1735)(776, 1736)(777, 1737)(778, 1738)(779, 1739)(780, 1740)(781, 1741)(782, 1742)(783, 1743)(784, 1744)(785, 1745)(786, 1746)(787, 1747)(788, 1748)(789, 1749)(790, 1750)(791, 1751)(792, 1752)(793, 1753)(794, 1754)(795, 1755)(796, 1756)(797, 1757)(798, 1758)(799, 1759)(800, 1760)(801, 1761)(802, 1762)(803, 1763)(804, 1764)(805, 1765)(806, 1766)(807, 1767)(808, 1768)(809, 1769)(810, 1770)(811, 1771)(812, 1772)(813, 1773)(814, 1774)(815, 1775)(816, 1776)(817, 1777)(818, 1778)(819, 1779)(820, 1780)(821, 1781)(822, 1782)(823, 1783)(824, 1784)(825, 1785)(826, 1786)(827, 1787)(828, 1788)(829, 1789)(830, 1790)(831, 1791)(832, 1792)(833, 1793)(834, 1794)(835, 1795)(836, 1796)(837, 1797)(838, 1798)(839, 1799)(840, 1800)(841, 1801)(842, 1802)(843, 1803)(844, 1804)(845, 1805)(846, 1806)(847, 1807)(848, 1808)(849, 1809)(850, 1810)(851, 1811)(852, 1812)(853, 1813)(854, 1814)(855, 1815)(856, 1816)(857, 1817)(858, 1818)(859, 1819)(860, 1820)(861, 1821)(862, 1822)(863, 1823)(864, 1824)(865, 1825)(866, 1826)(867, 1827)(868, 1828)(869, 1829)(870, 1830)(871, 1831)(872, 1832)(873, 1833)(874, 1834)(875, 1835)(876, 1836)(877, 1837)(878, 1838)(879, 1839)(880, 1840)(881, 1841)(882, 1842)(883, 1843)(884, 1844)(885, 1845)(886, 1846)(887, 1847)(888, 1848)(889, 1849)(890, 1850)(891, 1851)(892, 1852)(893, 1853)(894, 1854)(895, 1855)(896, 1856)(897, 1857)(898, 1858)(899, 1859)(900, 1860)(901, 1861)(902, 1862)(903, 1863)(904, 1864)(905, 1865)(906, 1866)(907, 1867)(908, 1868)(909, 1869)(910, 1870)(911, 1871)(912, 1872)(913, 1873)(914, 1874)(915, 1875)(916, 1876)(917, 1877)(918, 1878)(919, 1879)(920, 1880)(921, 1881)(922, 1882)(923, 1883)(924, 1884)(925, 1885)(926, 1886)(927, 1887)(928, 1888)(929, 1889)(930, 1890)(931, 1891)(932, 1892)(933, 1893)(934, 1894)(935, 1895)(936, 1896)(937, 1897)(938, 1898)(939, 1899)(940, 1900)(941, 1901)(942, 1902)(943, 1903)(944, 1904)(945, 1905)(946, 1906)(947, 1907)(948, 1908)(949, 1909)(950, 1910)(951, 1911)(952, 1912)(953, 1913)(954, 1914)(955, 1915)(956, 1916)(957, 1917)(958, 1918)(959, 1919)(960, 1920)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E21.3194
Graph:: bipartite
	v = 200 e = 960 f = 720
	degree seq :: [ 8^120, 12^80 ]

E21.3194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^6, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^4 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2)^2, (Y3 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map:: polytopal
	R = (1, 481)(2, 482)(3, 483)(4, 484)(5, 485)(6, 486)(7, 487)(8, 488)(9, 489)(10, 490)(11, 491)(12, 492)(13, 493)(14, 494)(15, 495)(16, 496)(17, 497)(18, 498)(19, 499)(20, 500)(21, 501)(22, 502)(23, 503)(24, 504)(25, 505)(26, 506)(27, 507)(28, 508)(29, 509)(30, 510)(31, 511)(32, 512)(33, 513)(34, 514)(35, 515)(36, 516)(37, 517)(38, 518)(39, 519)(40, 520)(41, 521)(42, 522)(43, 523)(44, 524)(45, 525)(46, 526)(47, 527)(48, 528)(49, 529)(50, 530)(51, 531)(52, 532)(53, 533)(54, 534)(55, 535)(56, 536)(57, 537)(58, 538)(59, 539)(60, 540)(61, 541)(62, 542)(63, 543)(64, 544)(65, 545)(66, 546)(67, 547)(68, 548)(69, 549)(70, 550)(71, 551)(72, 552)(73, 553)(74, 554)(75, 555)(76, 556)(77, 557)(78, 558)(79, 559)(80, 560)(81, 561)(82, 562)(83, 563)(84, 564)(85, 565)(86, 566)(87, 567)(88, 568)(89, 569)(90, 570)(91, 571)(92, 572)(93, 573)(94, 574)(95, 575)(96, 576)(97, 577)(98, 578)(99, 579)(100, 580)(101, 581)(102, 582)(103, 583)(104, 584)(105, 585)(106, 586)(107, 587)(108, 588)(109, 589)(110, 590)(111, 591)(112, 592)(113, 593)(114, 594)(115, 595)(116, 596)(117, 597)(118, 598)(119, 599)(120, 600)(121, 601)(122, 602)(123, 603)(124, 604)(125, 605)(126, 606)(127, 607)(128, 608)(129, 609)(130, 610)(131, 611)(132, 612)(133, 613)(134, 614)(135, 615)(136, 616)(137, 617)(138, 618)(139, 619)(140, 620)(141, 621)(142, 622)(143, 623)(144, 624)(145, 625)(146, 626)(147, 627)(148, 628)(149, 629)(150, 630)(151, 631)(152, 632)(153, 633)(154, 634)(155, 635)(156, 636)(157, 637)(158, 638)(159, 639)(160, 640)(161, 641)(162, 642)(163, 643)(164, 644)(165, 645)(166, 646)(167, 647)(168, 648)(169, 649)(170, 650)(171, 651)(172, 652)(173, 653)(174, 654)(175, 655)(176, 656)(177, 657)(178, 658)(179, 659)(180, 660)(181, 661)(182, 662)(183, 663)(184, 664)(185, 665)(186, 666)(187, 667)(188, 668)(189, 669)(190, 670)(191, 671)(192, 672)(193, 673)(194, 674)(195, 675)(196, 676)(197, 677)(198, 678)(199, 679)(200, 680)(201, 681)(202, 682)(203, 683)(204, 684)(205, 685)(206, 686)(207, 687)(208, 688)(209, 689)(210, 690)(211, 691)(212, 692)(213, 693)(214, 694)(215, 695)(216, 696)(217, 697)(218, 698)(219, 699)(220, 700)(221, 701)(222, 702)(223, 703)(224, 704)(225, 705)(226, 706)(227, 707)(228, 708)(229, 709)(230, 710)(231, 711)(232, 712)(233, 713)(234, 714)(235, 715)(236, 716)(237, 717)(238, 718)(239, 719)(240, 720)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 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1533, 1107, 1587)(1054, 1534, 1102, 1582)(1056, 1536, 1111, 1591)(1057, 1537, 1112, 1592)(1059, 1539, 1115, 1595)(1061, 1541, 1099, 1579)(1062, 1542, 1118, 1598)(1064, 1544, 1122, 1602)(1065, 1545, 1121, 1601)(1067, 1547, 1125, 1605)(1068, 1548, 1072, 1552)(1069, 1549, 1127, 1607)(1070, 1550, 1129, 1609)(1073, 1553, 1132, 1612)(1076, 1556, 1138, 1618)(1077, 1557, 1140, 1620)(1078, 1558, 1141, 1621)(1079, 1559, 1136, 1616)(1081, 1561, 1145, 1625)(1082, 1562, 1146, 1626)(1084, 1564, 1149, 1629)(1086, 1566, 1133, 1613)(1087, 1567, 1152, 1632)(1089, 1569, 1156, 1636)(1090, 1570, 1155, 1635)(1092, 1572, 1159, 1639)(1094, 1574, 1161, 1641)(1095, 1575, 1163, 1643)(1097, 1577, 1165, 1645)(1100, 1580, 1168, 1648)(1101, 1581, 1170, 1650)(1103, 1583, 1172, 1652)(1105, 1585, 1175, 1655)(1108, 1588, 1179, 1659)(1109, 1589, 1177, 1657)(1110, 1590, 1181, 1661)(1113, 1593, 1184, 1664)(1114, 1594, 1186, 1666)(1116, 1596, 1188, 1668)(1117, 1597, 1189, 1669)(1119, 1599, 1193, 1673)(1120, 1600, 1194, 1674)(1123, 1603, 1178, 1658)(1124, 1604, 1198, 1678)(1126, 1606, 1201, 1681)(1128, 1608, 1203, 1683)(1130, 1610, 1191, 1671)(1131, 1611, 1205, 1685)(1134, 1614, 1208, 1688)(1135, 1615, 1210, 1690)(1137, 1617, 1212, 1692)(1139, 1619, 1215, 1695)(1142, 1622, 1219, 1699)(1143, 1623, 1217, 1697)(1144, 1624, 1221, 1701)(1147, 1627, 1224, 1704)(1148, 1628, 1226, 1706)(1150, 1630, 1228, 1708)(1151, 1631, 1229, 1709)(1153, 1633, 1233, 1713)(1154, 1634, 1234, 1714)(1157, 1637, 1218, 1698)(1158, 1638, 1238, 1718)(1160, 1640, 1241, 1721)(1162, 1642, 1243, 1723)(1164, 1644, 1231, 1711)(1166, 1646, 1247, 1727)(1167, 1647, 1248, 1728)(1169, 1649, 1251, 1731)(1171, 1651, 1253, 1733)(1173, 1653, 1223, 1703)(1174, 1654, 1256, 1736)(1176, 1656, 1259, 1739)(1180, 1660, 1220, 1700)(1182, 1662, 1264, 1744)(1183, 1663, 1213, 1693)(1185, 1665, 1268, 1748)(1187, 1667, 1270, 1750)(1190, 1670, 1273, 1753)(1192, 1672, 1275, 1755)(1195, 1675, 1242, 1722)(1196, 1676, 1281, 1761)(1197, 1677, 1279, 1759)(1199, 1679, 1276, 1756)(1200, 1680, 1271, 1751)(1202, 1682, 1235, 1715)(1204, 1684, 1263, 1743)(1206, 1686, 1289, 1769)(1207, 1687, 1290, 1770)(1209, 1689, 1293, 1773)(1211, 1691, 1295, 1775)(1214, 1694, 1298, 1778)(1216, 1696, 1301, 1781)(1222, 1702, 1306, 1786)(1225, 1705, 1310, 1790)(1227, 1707, 1312, 1792)(1230, 1710, 1315, 1795)(1232, 1712, 1317, 1797)(1236, 1716, 1323, 1803)(1237, 1717, 1321, 1801)(1239, 1719, 1318, 1798)(1240, 1720, 1313, 1793)(1244, 1724, 1305, 1785)(1245, 1725, 1287, 1767)(1246, 1726, 1329, 1809)(1249, 1729, 1311, 1791)(1250, 1730, 1333, 1813)(1252, 1732, 1320, 1800)(1254, 1734, 1309, 1789)(1255, 1735, 1338, 1818)(1257, 1737, 1303, 1783)(1258, 1738, 1340, 1820)(1260, 1740, 1316, 1796)(1261, 1741, 1299, 1779)(1262, 1742, 1336, 1816)(1265, 1745, 1345, 1825)(1266, 1746, 1331, 1811)(1267, 1747, 1296, 1776)(1269, 1749, 1291, 1771)(1272, 1752, 1325, 1805)(1274, 1754, 1302, 1782)(1277, 1757, 1353, 1833)(1278, 1758, 1294, 1774)(1280, 1760, 1327, 1807)(1282, 1762, 1356, 1836)(1283, 1763, 1314, 1794)(1284, 1764, 1349, 1829)(1285, 1765, 1322, 1802)(1286, 1766, 1350, 1830)(1288, 1768, 1358, 1838)(1292, 1772, 1362, 1842)(1297, 1777, 1367, 1847)(1300, 1780, 1369, 1849)(1304, 1784, 1365, 1845)(1307, 1787, 1374, 1854)(1308, 1788, 1360, 1840)(1319, 1799, 1382, 1862)(1324, 1804, 1385, 1865)(1326, 1806, 1378, 1858)(1328, 1808, 1379, 1859)(1330, 1810, 1387, 1867)(1332, 1812, 1376, 1856)(1334, 1814, 1390, 1870)(1335, 1815, 1375, 1855)(1337, 1817, 1366, 1846)(1339, 1819, 1371, 1851)(1341, 1821, 1392, 1872)(1342, 1822, 1368, 1848)(1343, 1823, 1389, 1869)(1344, 1824, 1395, 1875)(1346, 1826, 1364, 1844)(1347, 1827, 1361, 1841)(1348, 1828, 1391, 1871)(1351, 1831, 1386, 1866)(1352, 1832, 1398, 1878)(1354, 1834, 1399, 1879)(1355, 1835, 1384, 1864)(1357, 1837, 1380, 1860)(1359, 1839, 1400, 1880)(1363, 1843, 1403, 1883)(1370, 1850, 1405, 1885)(1372, 1852, 1402, 1882)(1373, 1853, 1408, 1888)(1377, 1857, 1404, 1884)(1381, 1861, 1411, 1891)(1383, 1863, 1412, 1892)(1388, 1868, 1414, 1894)(1393, 1873, 1417, 1897)(1394, 1874, 1410, 1890)(1396, 1876, 1418, 1898)(1397, 1877, 1407, 1887)(1401, 1881, 1421, 1901)(1406, 1886, 1424, 1904)(1409, 1889, 1425, 1905)(1413, 1893, 1427, 1907)(1415, 1895, 1426, 1906)(1416, 1896, 1429, 1909)(1419, 1899, 1422, 1902)(1420, 1900, 1431, 1911)(1423, 1903, 1433, 1913)(1428, 1908, 1435, 1915)(1430, 1910, 1436, 1916)(1432, 1912, 1437, 1917)(1434, 1914, 1438, 1918)(1439, 1919, 1440, 1920)
	L = (1, 963)(2, 965)(3, 968)(4, 961)(5, 972)(6, 962)(7, 975)(8, 978)(9, 979)(10, 964)(11, 982)(12, 985)(13, 986)(14, 966)(15, 989)(16, 967)(17, 992)(18, 970)(19, 996)(20, 969)(21, 998)(22, 1000)(23, 971)(24, 1003)(25, 974)(26, 1007)(27, 973)(28, 1009)(29, 1012)(30, 1013)(31, 976)(32, 1016)(33, 977)(34, 1019)(35, 1021)(36, 1024)(37, 980)(38, 1027)(39, 981)(40, 1030)(41, 1031)(42, 983)(43, 1034)(44, 984)(45, 1037)(46, 1039)(47, 1042)(48, 987)(49, 1045)(50, 988)(51, 1047)(52, 991)(53, 1051)(54, 990)(55, 1053)(56, 1056)(57, 1057)(58, 993)(59, 1059)(60, 994)(61, 1062)(62, 995)(63, 1065)(64, 997)(65, 1067)(66, 1060)(67, 1070)(68, 999)(69, 1072)(70, 1002)(71, 1076)(72, 1001)(73, 1078)(74, 1081)(75, 1082)(76, 1004)(77, 1084)(78, 1005)(79, 1087)(80, 1006)(81, 1090)(82, 1008)(83, 1092)(84, 1085)(85, 1095)(86, 1010)(87, 1097)(88, 1011)(89, 1100)(90, 1102)(91, 1105)(92, 1014)(93, 1023)(94, 1015)(95, 1109)(96, 1018)(97, 1113)(98, 1017)(99, 1116)(100, 1117)(101, 1020)(102, 1119)(103, 1120)(104, 1022)(105, 1108)(106, 1123)(107, 1115)(108, 1025)(109, 1026)(110, 1028)(111, 1110)(112, 1131)(113, 1029)(114, 1134)(115, 1136)(116, 1139)(117, 1032)(118, 1041)(119, 1033)(120, 1143)(121, 1036)(122, 1147)(123, 1035)(124, 1150)(125, 1151)(126, 1038)(127, 1153)(128, 1154)(129, 1040)(130, 1142)(131, 1157)(132, 1149)(133, 1043)(134, 1044)(135, 1046)(136, 1144)(137, 1166)(138, 1167)(139, 1048)(140, 1169)(141, 1049)(142, 1171)(143, 1050)(144, 1174)(145, 1052)(146, 1176)(147, 1170)(148, 1054)(149, 1180)(150, 1055)(151, 1182)(152, 1145)(153, 1185)(154, 1058)(155, 1187)(156, 1061)(157, 1190)(158, 1191)(159, 1064)(160, 1195)(161, 1063)(162, 1135)(163, 1138)(164, 1066)(165, 1198)(166, 1068)(167, 1202)(168, 1069)(169, 1161)(170, 1071)(171, 1206)(172, 1207)(173, 1073)(174, 1209)(175, 1074)(176, 1211)(177, 1075)(178, 1214)(179, 1077)(180, 1216)(181, 1210)(182, 1079)(183, 1220)(184, 1080)(185, 1222)(186, 1111)(187, 1225)(188, 1083)(189, 1227)(190, 1086)(191, 1230)(192, 1231)(193, 1089)(194, 1235)(195, 1088)(196, 1101)(197, 1104)(198, 1091)(199, 1238)(200, 1093)(201, 1242)(202, 1094)(203, 1127)(204, 1096)(205, 1245)(206, 1099)(207, 1249)(208, 1098)(209, 1237)(210, 1252)(211, 1254)(212, 1255)(213, 1103)(214, 1239)(215, 1257)(216, 1251)(217, 1106)(218, 1107)(219, 1246)(220, 1130)(221, 1263)(222, 1265)(223, 1112)(224, 1267)(225, 1114)(226, 1269)(227, 1126)(228, 1271)(229, 1247)(230, 1128)(231, 1274)(232, 1118)(233, 1277)(234, 1279)(235, 1280)(236, 1121)(237, 1122)(238, 1282)(239, 1124)(240, 1125)(241, 1262)(242, 1284)(243, 1278)(244, 1129)(245, 1287)(246, 1133)(247, 1291)(248, 1132)(249, 1197)(250, 1294)(251, 1296)(252, 1297)(253, 1137)(254, 1199)(255, 1299)(256, 1293)(257, 1140)(258, 1141)(259, 1288)(260, 1164)(261, 1305)(262, 1307)(263, 1146)(264, 1309)(265, 1148)(266, 1311)(267, 1160)(268, 1313)(269, 1289)(270, 1162)(271, 1316)(272, 1152)(273, 1319)(274, 1321)(275, 1322)(276, 1155)(277, 1156)(278, 1324)(279, 1158)(280, 1159)(281, 1304)(282, 1326)(283, 1320)(284, 1163)(285, 1201)(286, 1165)(287, 1330)(288, 1188)(289, 1332)(290, 1168)(291, 1334)(292, 1335)(293, 1336)(294, 1173)(295, 1194)(296, 1172)(297, 1184)(298, 1175)(299, 1340)(300, 1177)(301, 1178)(302, 1179)(303, 1343)(304, 1181)(305, 1308)(306, 1183)(307, 1341)(308, 1346)(309, 1345)(310, 1186)(311, 1349)(312, 1189)(313, 1351)(314, 1352)(315, 1342)(316, 1192)(317, 1354)(318, 1193)(319, 1339)(320, 1196)(321, 1355)(322, 1357)(323, 1200)(324, 1328)(325, 1203)(326, 1204)(327, 1241)(328, 1205)(329, 1359)(330, 1228)(331, 1361)(332, 1208)(333, 1363)(334, 1364)(335, 1365)(336, 1213)(337, 1234)(338, 1212)(339, 1224)(340, 1215)(341, 1369)(342, 1217)(343, 1218)(344, 1219)(345, 1372)(346, 1221)(347, 1266)(348, 1223)(349, 1370)(350, 1375)(351, 1374)(352, 1226)(353, 1378)(354, 1229)(355, 1380)(356, 1381)(357, 1371)(358, 1232)(359, 1383)(360, 1233)(361, 1368)(362, 1236)(363, 1384)(364, 1386)(365, 1240)(366, 1286)(367, 1243)(368, 1244)(369, 1281)(370, 1388)(371, 1248)(372, 1250)(373, 1389)(374, 1260)(375, 1261)(376, 1391)(377, 1253)(378, 1360)(379, 1256)(380, 1393)(381, 1258)(382, 1259)(383, 1394)(384, 1264)(385, 1396)(386, 1273)(387, 1268)(388, 1270)(389, 1367)(390, 1272)(391, 1397)(392, 1276)(393, 1275)(394, 1285)(395, 1399)(396, 1398)(397, 1283)(398, 1323)(399, 1401)(400, 1290)(401, 1292)(402, 1402)(403, 1302)(404, 1303)(405, 1404)(406, 1295)(407, 1331)(408, 1298)(409, 1406)(410, 1300)(411, 1301)(412, 1407)(413, 1306)(414, 1409)(415, 1315)(416, 1310)(417, 1312)(418, 1338)(419, 1314)(420, 1410)(421, 1318)(422, 1317)(423, 1327)(424, 1412)(425, 1411)(426, 1325)(427, 1329)(428, 1350)(429, 1414)(430, 1333)(431, 1416)(432, 1337)(433, 1353)(434, 1344)(435, 1356)(436, 1348)(437, 1347)(438, 1419)(439, 1413)(440, 1358)(441, 1379)(442, 1421)(443, 1362)(444, 1423)(445, 1366)(446, 1382)(447, 1373)(448, 1385)(449, 1377)(450, 1376)(451, 1426)(452, 1420)(453, 1387)(454, 1428)(455, 1390)(456, 1392)(457, 1429)(458, 1395)(459, 1430)(460, 1400)(461, 1432)(462, 1403)(463, 1405)(464, 1433)(465, 1408)(466, 1434)(467, 1417)(468, 1415)(469, 1436)(470, 1418)(471, 1424)(472, 1422)(473, 1438)(474, 1425)(475, 1427)(476, 1439)(477, 1431)(478, 1440)(479, 1435)(480, 1437)(481, 1441)(482, 1442)(483, 1443)(484, 1444)(485, 1445)(486, 1446)(487, 1447)(488, 1448)(489, 1449)(490, 1450)(491, 1451)(492, 1452)(493, 1453)(494, 1454)(495, 1455)(496, 1456)(497, 1457)(498, 1458)(499, 1459)(500, 1460)(501, 1461)(502, 1462)(503, 1463)(504, 1464)(505, 1465)(506, 1466)(507, 1467)(508, 1468)(509, 1469)(510, 1470)(511, 1471)(512, 1472)(513, 1473)(514, 1474)(515, 1475)(516, 1476)(517, 1477)(518, 1478)(519, 1479)(520, 1480)(521, 1481)(522, 1482)(523, 1483)(524, 1484)(525, 1485)(526, 1486)(527, 1487)(528, 1488)(529, 1489)(530, 1490)(531, 1491)(532, 1492)(533, 1493)(534, 1494)(535, 1495)(536, 1496)(537, 1497)(538, 1498)(539, 1499)(540, 1500)(541, 1501)(542, 1502)(543, 1503)(544, 1504)(545, 1505)(546, 1506)(547, 1507)(548, 1508)(549, 1509)(550, 1510)(551, 1511)(552, 1512)(553, 1513)(554, 1514)(555, 1515)(556, 1516)(557, 1517)(558, 1518)(559, 1519)(560, 1520)(561, 1521)(562, 1522)(563, 1523)(564, 1524)(565, 1525)(566, 1526)(567, 1527)(568, 1528)(569, 1529)(570, 1530)(571, 1531)(572, 1532)(573, 1533)(574, 1534)(575, 1535)(576, 1536)(577, 1537)(578, 1538)(579, 1539)(580, 1540)(581, 1541)(582, 1542)(583, 1543)(584, 1544)(585, 1545)(586, 1546)(587, 1547)(588, 1548)(589, 1549)(590, 1550)(591, 1551)(592, 1552)(593, 1553)(594, 1554)(595, 1555)(596, 1556)(597, 1557)(598, 1558)(599, 1559)(600, 1560)(601, 1561)(602, 1562)(603, 1563)(604, 1564)(605, 1565)(606, 1566)(607, 1567)(608, 1568)(609, 1569)(610, 1570)(611, 1571)(612, 1572)(613, 1573)(614, 1574)(615, 1575)(616, 1576)(617, 1577)(618, 1578)(619, 1579)(620, 1580)(621, 1581)(622, 1582)(623, 1583)(624, 1584)(625, 1585)(626, 1586)(627, 1587)(628, 1588)(629, 1589)(630, 1590)(631, 1591)(632, 1592)(633, 1593)(634, 1594)(635, 1595)(636, 1596)(637, 1597)(638, 1598)(639, 1599)(640, 1600)(641, 1601)(642, 1602)(643, 1603)(644, 1604)(645, 1605)(646, 1606)(647, 1607)(648, 1608)(649, 1609)(650, 1610)(651, 1611)(652, 1612)(653, 1613)(654, 1614)(655, 1615)(656, 1616)(657, 1617)(658, 1618)(659, 1619)(660, 1620)(661, 1621)(662, 1622)(663, 1623)(664, 1624)(665, 1625)(666, 1626)(667, 1627)(668, 1628)(669, 1629)(670, 1630)(671, 1631)(672, 1632)(673, 1633)(674, 1634)(675, 1635)(676, 1636)(677, 1637)(678, 1638)(679, 1639)(680, 1640)(681, 1641)(682, 1642)(683, 1643)(684, 1644)(685, 1645)(686, 1646)(687, 1647)(688, 1648)(689, 1649)(690, 1650)(691, 1651)(692, 1652)(693, 1653)(694, 1654)(695, 1655)(696, 1656)(697, 1657)(698, 1658)(699, 1659)(700, 1660)(701, 1661)(702, 1662)(703, 1663)(704, 1664)(705, 1665)(706, 1666)(707, 1667)(708, 1668)(709, 1669)(710, 1670)(711, 1671)(712, 1672)(713, 1673)(714, 1674)(715, 1675)(716, 1676)(717, 1677)(718, 1678)(719, 1679)(720, 1680)(721, 1681)(722, 1682)(723, 1683)(724, 1684)(725, 1685)(726, 1686)(727, 1687)(728, 1688)(729, 1689)(730, 1690)(731, 1691)(732, 1692)(733, 1693)(734, 1694)(735, 1695)(736, 1696)(737, 1697)(738, 1698)(739, 1699)(740, 1700)(741, 1701)(742, 1702)(743, 1703)(744, 1704)(745, 1705)(746, 1706)(747, 1707)(748, 1708)(749, 1709)(750, 1710)(751, 1711)(752, 1712)(753, 1713)(754, 1714)(755, 1715)(756, 1716)(757, 1717)(758, 1718)(759, 1719)(760, 1720)(761, 1721)(762, 1722)(763, 1723)(764, 1724)(765, 1725)(766, 1726)(767, 1727)(768, 1728)(769, 1729)(770, 1730)(771, 1731)(772, 1732)(773, 1733)(774, 1734)(775, 1735)(776, 1736)(777, 1737)(778, 1738)(779, 1739)(780, 1740)(781, 1741)(782, 1742)(783, 1743)(784, 1744)(785, 1745)(786, 1746)(787, 1747)(788, 1748)(789, 1749)(790, 1750)(791, 1751)(792, 1752)(793, 1753)(794, 1754)(795, 1755)(796, 1756)(797, 1757)(798, 1758)(799, 1759)(800, 1760)(801, 1761)(802, 1762)(803, 1763)(804, 1764)(805, 1765)(806, 1766)(807, 1767)(808, 1768)(809, 1769)(810, 1770)(811, 1771)(812, 1772)(813, 1773)(814, 1774)(815, 1775)(816, 1776)(817, 1777)(818, 1778)(819, 1779)(820, 1780)(821, 1781)(822, 1782)(823, 1783)(824, 1784)(825, 1785)(826, 1786)(827, 1787)(828, 1788)(829, 1789)(830, 1790)(831, 1791)(832, 1792)(833, 1793)(834, 1794)(835, 1795)(836, 1796)(837, 1797)(838, 1798)(839, 1799)(840, 1800)(841, 1801)(842, 1802)(843, 1803)(844, 1804)(845, 1805)(846, 1806)(847, 1807)(848, 1808)(849, 1809)(850, 1810)(851, 1811)(852, 1812)(853, 1813)(854, 1814)(855, 1815)(856, 1816)(857, 1817)(858, 1818)(859, 1819)(860, 1820)(861, 1821)(862, 1822)(863, 1823)(864, 1824)(865, 1825)(866, 1826)(867, 1827)(868, 1828)(869, 1829)(870, 1830)(871, 1831)(872, 1832)(873, 1833)(874, 1834)(875, 1835)(876, 1836)(877, 1837)(878, 1838)(879, 1839)(880, 1840)(881, 1841)(882, 1842)(883, 1843)(884, 1844)(885, 1845)(886, 1846)(887, 1847)(888, 1848)(889, 1849)(890, 1850)(891, 1851)(892, 1852)(893, 1853)(894, 1854)(895, 1855)(896, 1856)(897, 1857)(898, 1858)(899, 1859)(900, 1860)(901, 1861)(902, 1862)(903, 1863)(904, 1864)(905, 1865)(906, 1866)(907, 1867)(908, 1868)(909, 1869)(910, 1870)(911, 1871)(912, 1872)(913, 1873)(914, 1874)(915, 1875)(916, 1876)(917, 1877)(918, 1878)(919, 1879)(920, 1880)(921, 1881)(922, 1882)(923, 1883)(924, 1884)(925, 1885)(926, 1886)(927, 1887)(928, 1888)(929, 1889)(930, 1890)(931, 1891)(932, 1892)(933, 1893)(934, 1894)(935, 1895)(936, 1896)(937, 1897)(938, 1898)(939, 1899)(940, 1900)(941, 1901)(942, 1902)(943, 1903)(944, 1904)(945, 1905)(946, 1906)(947, 1907)(948, 1908)(949, 1909)(950, 1910)(951, 1911)(952, 1912)(953, 1913)(954, 1914)(955, 1915)(956, 1916)(957, 1917)(958, 1918)(959, 1919)(960, 1920)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3193
Graph:: simple bipartite
	v = 720 e = 960 f = 200
	degree seq :: [ 2^480, 4^240 ]

E21.3195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|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^-1 * Y3)^4, (Y3 * Y1^-2 * Y3 * Y1^2)^2, Y1^-2 * Y3 * Y1^-4 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3, (Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1 * Y3)^2 ]
Map:: polytopal
	R = (1, 481, 2, 482, 5, 485, 11, 491, 10, 490, 4, 484)(3, 483, 7, 487, 15, 495, 29, 509, 18, 498, 8, 488)(6, 486, 13, 493, 25, 505, 46, 526, 28, 508, 14, 494)(9, 489, 19, 499, 35, 515, 61, 541, 37, 517, 20, 500)(12, 492, 23, 503, 42, 522, 73, 553, 45, 525, 24, 504)(16, 496, 31, 511, 54, 534, 92, 572, 56, 536, 32, 512)(17, 497, 33, 513, 57, 537, 82, 562, 48, 528, 26, 506)(21, 501, 38, 518, 66, 546, 109, 589, 68, 548, 39, 519)(22, 502, 40, 520, 69, 549, 112, 592, 72, 552, 41, 521)(27, 507, 49, 529, 83, 563, 121, 601, 75, 555, 43, 523)(30, 510, 52, 532, 89, 569, 124, 604, 77, 557, 53, 533)(34, 514, 59, 539, 99, 579, 155, 635, 101, 581, 60, 540)(36, 516, 63, 543, 104, 584, 161, 641, 106, 586, 64, 544)(44, 524, 76, 556, 122, 602, 174, 654, 114, 594, 70, 550)(47, 527, 79, 559, 127, 607, 177, 657, 116, 596, 80, 560)(50, 530, 85, 565, 62, 542, 103, 583, 136, 616, 86, 566)(51, 531, 87, 567, 137, 617, 205, 685, 140, 620, 88, 568)(55, 535, 94, 574, 147, 627, 212, 692, 142, 622, 90, 570)(58, 538, 97, 577, 152, 632, 224, 704, 154, 634, 98, 578)(65, 545, 107, 587, 113, 593, 172, 652, 166, 646, 108, 588)(67, 547, 71, 551, 115, 595, 175, 655, 169, 649, 110, 590)(74, 554, 118, 598, 180, 660, 170, 650, 111, 591, 119, 599)(78, 558, 125, 605, 188, 668, 267, 747, 191, 671, 126, 606)(81, 561, 130, 610, 195, 675, 273, 753, 193, 673, 128, 608)(84, 564, 133, 613, 200, 680, 280, 760, 202, 682, 134, 614)(91, 571, 143, 623, 213, 693, 287, 767, 206, 686, 138, 618)(93, 573, 145, 625, 216, 696, 290, 770, 208, 688, 146, 626)(95, 575, 149, 629, 96, 576, 151, 631, 222, 702, 150, 630)(100, 580, 139, 619, 207, 687, 288, 768, 229, 709, 156, 636)(102, 582, 158, 638, 218, 698, 301, 781, 232, 712, 159, 639)(105, 585, 163, 643, 237, 717, 317, 797, 233, 713, 160, 640)(117, 597, 178, 658, 253, 733, 338, 818, 255, 735, 179, 659)(120, 600, 183, 663, 259, 739, 341, 821, 257, 737, 181, 661)(123, 603, 186, 666, 264, 744, 348, 828, 266, 746, 187, 667)(129, 609, 194, 674, 274, 754, 352, 832, 268, 748, 189, 669)(131, 611, 197, 677, 132, 612, 199, 679, 278, 758, 198, 678)(135, 615, 190, 670, 269, 749, 353, 833, 283, 763, 203, 683)(141, 621, 209, 689, 256, 736, 230, 710, 157, 637, 210, 690)(144, 624, 214, 694, 296, 776, 239, 719, 164, 644, 215, 695)(148, 628, 219, 699, 302, 782, 347, 827, 265, 745, 220, 700)(153, 633, 226, 706, 309, 789, 386, 866, 305, 785, 223, 703)(162, 642, 235, 715, 320, 800, 394, 874, 315, 795, 236, 716)(165, 645, 231, 711, 314, 794, 392, 872, 323, 803, 240, 720)(167, 647, 228, 708, 312, 792, 390, 870, 324, 804, 242, 722)(168, 648, 243, 723, 325, 805, 389, 869, 311, 791, 227, 707)(171, 651, 245, 725, 327, 807, 398, 878, 328, 808, 246, 726)(173, 653, 248, 728, 330, 810, 400, 880, 329, 809, 247, 727)(176, 656, 251, 731, 335, 815, 405, 885, 337, 817, 252, 732)(182, 662, 258, 738, 342, 822, 409, 889, 339, 819, 254, 734)(184, 664, 261, 741, 185, 665, 263, 743, 346, 826, 262, 742)(192, 672, 270, 750, 241, 721, 284, 764, 204, 684, 271, 751)(196, 676, 275, 755, 360, 840, 404, 884, 336, 816, 276, 756)(201, 681, 282, 762, 238, 718, 322, 802, 363, 843, 279, 759)(211, 691, 293, 773, 376, 856, 430, 910, 374, 854, 291, 771)(217, 697, 300, 780, 331, 811, 401, 881, 379, 859, 297, 777)(221, 701, 298, 778, 380, 860, 402, 882, 345, 825, 277, 757)(225, 705, 307, 787, 340, 820, 410, 890, 362, 842, 308, 788)(234, 714, 318, 798, 396, 876, 326, 806, 244, 724, 319, 799)(249, 729, 332, 812, 250, 730, 334, 814, 403, 883, 333, 813)(260, 740, 343, 823, 413, 893, 397, 877, 321, 801, 344, 824)(272, 752, 357, 837, 304, 784, 381, 861, 299, 779, 355, 835)(281, 761, 365, 845, 399, 879, 440, 920, 415, 895, 366, 846)(285, 765, 361, 841, 423, 903, 367, 847, 407, 887, 369, 849)(286, 766, 359, 839, 416, 896, 449, 929, 421, 901, 358, 838)(289, 769, 372, 852, 428, 908, 453, 933, 429, 909, 373, 853)(292, 772, 375, 855, 431, 911, 442, 922, 417, 897, 349, 829)(294, 774, 368, 848, 295, 775, 364, 844, 425, 905, 378, 858)(303, 783, 384, 864, 310, 790, 350, 830, 414, 894, 382, 862)(306, 786, 387, 867, 436, 916, 391, 871, 313, 793, 354, 834)(316, 796, 395, 875, 439, 919, 444, 924, 406, 886, 356, 836)(351, 831, 412, 892, 443, 923, 462, 942, 447, 927, 411, 891)(370, 850, 419, 899, 371, 851, 427, 907, 445, 925, 418, 898)(377, 857, 432, 912, 457, 937, 437, 917, 388, 868, 424, 904)(383, 863, 420, 900, 451, 931, 466, 946, 452, 932, 426, 906)(385, 865, 435, 915, 458, 938, 468, 948, 454, 934, 434, 914)(393, 873, 438, 918, 459, 939, 461, 941, 441, 921, 408, 888)(422, 902, 446, 926, 464, 944, 473, 953, 465, 945, 450, 930)(433, 913, 456, 936, 467, 947, 475, 955, 469, 949, 455, 935)(448, 928, 460, 940, 471, 951, 477, 957, 472, 952, 463, 943)(470, 950, 474, 954, 478, 958, 480, 960, 479, 959, 476, 956)(961, 1441)(962, 1442)(963, 1443)(964, 1444)(965, 1445)(966, 1446)(967, 1447)(968, 1448)(969, 1449)(970, 1450)(971, 1451)(972, 1452)(973, 1453)(974, 1454)(975, 1455)(976, 1456)(977, 1457)(978, 1458)(979, 1459)(980, 1460)(981, 1461)(982, 1462)(983, 1463)(984, 1464)(985, 1465)(986, 1466)(987, 1467)(988, 1468)(989, 1469)(990, 1470)(991, 1471)(992, 1472)(993, 1473)(994, 1474)(995, 1475)(996, 1476)(997, 1477)(998, 1478)(999, 1479)(1000, 1480)(1001, 1481)(1002, 1482)(1003, 1483)(1004, 1484)(1005, 1485)(1006, 1486)(1007, 1487)(1008, 1488)(1009, 1489)(1010, 1490)(1011, 1491)(1012, 1492)(1013, 1493)(1014, 1494)(1015, 1495)(1016, 1496)(1017, 1497)(1018, 1498)(1019, 1499)(1020, 1500)(1021, 1501)(1022, 1502)(1023, 1503)(1024, 1504)(1025, 1505)(1026, 1506)(1027, 1507)(1028, 1508)(1029, 1509)(1030, 1510)(1031, 1511)(1032, 1512)(1033, 1513)(1034, 1514)(1035, 1515)(1036, 1516)(1037, 1517)(1038, 1518)(1039, 1519)(1040, 1520)(1041, 1521)(1042, 1522)(1043, 1523)(1044, 1524)(1045, 1525)(1046, 1526)(1047, 1527)(1048, 1528)(1049, 1529)(1050, 1530)(1051, 1531)(1052, 1532)(1053, 1533)(1054, 1534)(1055, 1535)(1056, 1536)(1057, 1537)(1058, 1538)(1059, 1539)(1060, 1540)(1061, 1541)(1062, 1542)(1063, 1543)(1064, 1544)(1065, 1545)(1066, 1546)(1067, 1547)(1068, 1548)(1069, 1549)(1070, 1550)(1071, 1551)(1072, 1552)(1073, 1553)(1074, 1554)(1075, 1555)(1076, 1556)(1077, 1557)(1078, 1558)(1079, 1559)(1080, 1560)(1081, 1561)(1082, 1562)(1083, 1563)(1084, 1564)(1085, 1565)(1086, 1566)(1087, 1567)(1088, 1568)(1089, 1569)(1090, 1570)(1091, 1571)(1092, 1572)(1093, 1573)(1094, 1574)(1095, 1575)(1096, 1576)(1097, 1577)(1098, 1578)(1099, 1579)(1100, 1580)(1101, 1581)(1102, 1582)(1103, 1583)(1104, 1584)(1105, 1585)(1106, 1586)(1107, 1587)(1108, 1588)(1109, 1589)(1110, 1590)(1111, 1591)(1112, 1592)(1113, 1593)(1114, 1594)(1115, 1595)(1116, 1596)(1117, 1597)(1118, 1598)(1119, 1599)(1120, 1600)(1121, 1601)(1122, 1602)(1123, 1603)(1124, 1604)(1125, 1605)(1126, 1606)(1127, 1607)(1128, 1608)(1129, 1609)(1130, 1610)(1131, 1611)(1132, 1612)(1133, 1613)(1134, 1614)(1135, 1615)(1136, 1616)(1137, 1617)(1138, 1618)(1139, 1619)(1140, 1620)(1141, 1621)(1142, 1622)(1143, 1623)(1144, 1624)(1145, 1625)(1146, 1626)(1147, 1627)(1148, 1628)(1149, 1629)(1150, 1630)(1151, 1631)(1152, 1632)(1153, 1633)(1154, 1634)(1155, 1635)(1156, 1636)(1157, 1637)(1158, 1638)(1159, 1639)(1160, 1640)(1161, 1641)(1162, 1642)(1163, 1643)(1164, 1644)(1165, 1645)(1166, 1646)(1167, 1647)(1168, 1648)(1169, 1649)(1170, 1650)(1171, 1651)(1172, 1652)(1173, 1653)(1174, 1654)(1175, 1655)(1176, 1656)(1177, 1657)(1178, 1658)(1179, 1659)(1180, 1660)(1181, 1661)(1182, 1662)(1183, 1663)(1184, 1664)(1185, 1665)(1186, 1666)(1187, 1667)(1188, 1668)(1189, 1669)(1190, 1670)(1191, 1671)(1192, 1672)(1193, 1673)(1194, 1674)(1195, 1675)(1196, 1676)(1197, 1677)(1198, 1678)(1199, 1679)(1200, 1680)(1201, 1681)(1202, 1682)(1203, 1683)(1204, 1684)(1205, 1685)(1206, 1686)(1207, 1687)(1208, 1688)(1209, 1689)(1210, 1690)(1211, 1691)(1212, 1692)(1213, 1693)(1214, 1694)(1215, 1695)(1216, 1696)(1217, 1697)(1218, 1698)(1219, 1699)(1220, 1700)(1221, 1701)(1222, 1702)(1223, 1703)(1224, 1704)(1225, 1705)(1226, 1706)(1227, 1707)(1228, 1708)(1229, 1709)(1230, 1710)(1231, 1711)(1232, 1712)(1233, 1713)(1234, 1714)(1235, 1715)(1236, 1716)(1237, 1717)(1238, 1718)(1239, 1719)(1240, 1720)(1241, 1721)(1242, 1722)(1243, 1723)(1244, 1724)(1245, 1725)(1246, 1726)(1247, 1727)(1248, 1728)(1249, 1729)(1250, 1730)(1251, 1731)(1252, 1732)(1253, 1733)(1254, 1734)(1255, 1735)(1256, 1736)(1257, 1737)(1258, 1738)(1259, 1739)(1260, 1740)(1261, 1741)(1262, 1742)(1263, 1743)(1264, 1744)(1265, 1745)(1266, 1746)(1267, 1747)(1268, 1748)(1269, 1749)(1270, 1750)(1271, 1751)(1272, 1752)(1273, 1753)(1274, 1754)(1275, 1755)(1276, 1756)(1277, 1757)(1278, 1758)(1279, 1759)(1280, 1760)(1281, 1761)(1282, 1762)(1283, 1763)(1284, 1764)(1285, 1765)(1286, 1766)(1287, 1767)(1288, 1768)(1289, 1769)(1290, 1770)(1291, 1771)(1292, 1772)(1293, 1773)(1294, 1774)(1295, 1775)(1296, 1776)(1297, 1777)(1298, 1778)(1299, 1779)(1300, 1780)(1301, 1781)(1302, 1782)(1303, 1783)(1304, 1784)(1305, 1785)(1306, 1786)(1307, 1787)(1308, 1788)(1309, 1789)(1310, 1790)(1311, 1791)(1312, 1792)(1313, 1793)(1314, 1794)(1315, 1795)(1316, 1796)(1317, 1797)(1318, 1798)(1319, 1799)(1320, 1800)(1321, 1801)(1322, 1802)(1323, 1803)(1324, 1804)(1325, 1805)(1326, 1806)(1327, 1807)(1328, 1808)(1329, 1809)(1330, 1810)(1331, 1811)(1332, 1812)(1333, 1813)(1334, 1814)(1335, 1815)(1336, 1816)(1337, 1817)(1338, 1818)(1339, 1819)(1340, 1820)(1341, 1821)(1342, 1822)(1343, 1823)(1344, 1824)(1345, 1825)(1346, 1826)(1347, 1827)(1348, 1828)(1349, 1829)(1350, 1830)(1351, 1831)(1352, 1832)(1353, 1833)(1354, 1834)(1355, 1835)(1356, 1836)(1357, 1837)(1358, 1838)(1359, 1839)(1360, 1840)(1361, 1841)(1362, 1842)(1363, 1843)(1364, 1844)(1365, 1845)(1366, 1846)(1367, 1847)(1368, 1848)(1369, 1849)(1370, 1850)(1371, 1851)(1372, 1852)(1373, 1853)(1374, 1854)(1375, 1855)(1376, 1856)(1377, 1857)(1378, 1858)(1379, 1859)(1380, 1860)(1381, 1861)(1382, 1862)(1383, 1863)(1384, 1864)(1385, 1865)(1386, 1866)(1387, 1867)(1388, 1868)(1389, 1869)(1390, 1870)(1391, 1871)(1392, 1872)(1393, 1873)(1394, 1874)(1395, 1875)(1396, 1876)(1397, 1877)(1398, 1878)(1399, 1879)(1400, 1880)(1401, 1881)(1402, 1882)(1403, 1883)(1404, 1884)(1405, 1885)(1406, 1886)(1407, 1887)(1408, 1888)(1409, 1889)(1410, 1890)(1411, 1891)(1412, 1892)(1413, 1893)(1414, 1894)(1415, 1895)(1416, 1896)(1417, 1897)(1418, 1898)(1419, 1899)(1420, 1900)(1421, 1901)(1422, 1902)(1423, 1903)(1424, 1904)(1425, 1905)(1426, 1906)(1427, 1907)(1428, 1908)(1429, 1909)(1430, 1910)(1431, 1911)(1432, 1912)(1433, 1913)(1434, 1914)(1435, 1915)(1436, 1916)(1437, 1917)(1438, 1918)(1439, 1919)(1440, 1920)
	L = (1, 963)(2, 966)(3, 961)(4, 969)(5, 972)(6, 962)(7, 976)(8, 977)(9, 964)(10, 981)(11, 982)(12, 965)(13, 986)(14, 987)(15, 990)(16, 967)(17, 968)(18, 994)(19, 996)(20, 991)(21, 970)(22, 971)(23, 1003)(24, 1004)(25, 1007)(26, 973)(27, 974)(28, 1010)(29, 1011)(30, 975)(31, 980)(32, 1015)(33, 1018)(34, 978)(35, 1022)(36, 979)(37, 1025)(38, 1027)(39, 1023)(40, 1030)(41, 1031)(42, 1034)(43, 983)(44, 984)(45, 1037)(46, 1038)(47, 985)(48, 1041)(49, 1044)(50, 988)(51, 989)(52, 1050)(53, 1051)(54, 1053)(55, 992)(56, 1055)(57, 1056)(58, 993)(59, 1060)(60, 1057)(61, 1062)(62, 995)(63, 999)(64, 1065)(65, 997)(66, 1059)(67, 998)(68, 1071)(69, 1073)(70, 1000)(71, 1001)(72, 1076)(73, 1077)(74, 1002)(75, 1080)(76, 1083)(77, 1005)(78, 1006)(79, 1088)(80, 1089)(81, 1008)(82, 1091)(83, 1092)(84, 1009)(85, 1095)(86, 1093)(87, 1098)(88, 1099)(89, 1101)(90, 1012)(91, 1013)(92, 1104)(93, 1014)(94, 1108)(95, 1016)(96, 1017)(97, 1020)(98, 1113)(99, 1026)(100, 1019)(101, 1117)(102, 1021)(103, 1120)(104, 1122)(105, 1024)(106, 1124)(107, 1125)(108, 1105)(109, 1127)(110, 1128)(111, 1028)(112, 1131)(113, 1029)(114, 1133)(115, 1136)(116, 1032)(117, 1033)(118, 1141)(119, 1142)(120, 1035)(121, 1144)(122, 1145)(123, 1036)(124, 1146)(125, 1149)(126, 1150)(127, 1152)(128, 1039)(129, 1040)(130, 1156)(131, 1042)(132, 1043)(133, 1046)(134, 1161)(135, 1045)(136, 1164)(137, 1155)(138, 1047)(139, 1048)(140, 1168)(141, 1049)(142, 1171)(143, 1139)(144, 1052)(145, 1068)(146, 1177)(147, 1178)(148, 1054)(149, 1181)(150, 1179)(151, 1183)(152, 1185)(153, 1058)(154, 1151)(155, 1187)(156, 1188)(157, 1061)(158, 1163)(159, 1191)(160, 1063)(161, 1194)(162, 1064)(163, 1198)(164, 1066)(165, 1067)(166, 1201)(167, 1069)(168, 1070)(169, 1204)(170, 1195)(171, 1072)(172, 1207)(173, 1074)(174, 1209)(175, 1210)(176, 1075)(177, 1211)(178, 1214)(179, 1103)(180, 1216)(181, 1078)(182, 1079)(183, 1220)(184, 1081)(185, 1082)(186, 1084)(187, 1225)(188, 1219)(189, 1085)(190, 1086)(191, 1114)(192, 1087)(193, 1232)(194, 1206)(195, 1097)(196, 1090)(197, 1237)(198, 1235)(199, 1239)(200, 1241)(201, 1094)(202, 1215)(203, 1118)(204, 1096)(205, 1245)(206, 1246)(207, 1249)(208, 1100)(209, 1251)(210, 1252)(211, 1102)(212, 1254)(213, 1255)(214, 1257)(215, 1258)(216, 1259)(217, 1106)(218, 1107)(219, 1110)(220, 1263)(221, 1109)(222, 1264)(223, 1111)(224, 1266)(225, 1112)(226, 1270)(227, 1115)(228, 1116)(229, 1273)(230, 1267)(231, 1119)(232, 1275)(233, 1276)(234, 1121)(235, 1130)(236, 1281)(237, 1272)(238, 1123)(239, 1282)(240, 1205)(241, 1126)(242, 1218)(243, 1269)(244, 1129)(245, 1200)(246, 1154)(247, 1132)(248, 1291)(249, 1134)(250, 1135)(251, 1137)(252, 1296)(253, 1290)(254, 1138)(255, 1162)(256, 1140)(257, 1300)(258, 1202)(259, 1148)(260, 1143)(261, 1305)(262, 1303)(263, 1307)(264, 1309)(265, 1147)(266, 1288)(267, 1310)(268, 1311)(269, 1314)(270, 1315)(271, 1316)(272, 1153)(273, 1318)(274, 1319)(275, 1158)(276, 1321)(277, 1157)(278, 1322)(279, 1159)(280, 1324)(281, 1160)(282, 1327)(283, 1328)(284, 1325)(285, 1165)(286, 1166)(287, 1330)(288, 1331)(289, 1167)(290, 1332)(291, 1169)(292, 1170)(293, 1337)(294, 1172)(295, 1173)(296, 1336)(297, 1174)(298, 1175)(299, 1176)(300, 1329)(301, 1342)(302, 1343)(303, 1180)(304, 1182)(305, 1345)(306, 1184)(307, 1190)(308, 1348)(309, 1203)(310, 1186)(311, 1335)(312, 1197)(313, 1189)(314, 1353)(315, 1192)(316, 1193)(317, 1351)(318, 1357)(319, 1340)(320, 1334)(321, 1196)(322, 1199)(323, 1333)(324, 1297)(325, 1287)(326, 1346)(327, 1285)(328, 1226)(329, 1359)(330, 1213)(331, 1208)(332, 1362)(333, 1361)(334, 1364)(335, 1366)(336, 1212)(337, 1284)(338, 1367)(339, 1368)(340, 1217)(341, 1371)(342, 1372)(343, 1222)(344, 1374)(345, 1221)(346, 1375)(347, 1223)(348, 1376)(349, 1224)(350, 1227)(351, 1228)(352, 1378)(353, 1379)(354, 1229)(355, 1230)(356, 1231)(357, 1380)(358, 1233)(359, 1234)(360, 1382)(361, 1236)(362, 1238)(363, 1384)(364, 1240)(365, 1244)(366, 1386)(367, 1242)(368, 1243)(369, 1260)(370, 1247)(371, 1248)(372, 1250)(373, 1283)(374, 1280)(375, 1271)(376, 1256)(377, 1253)(378, 1392)(379, 1393)(380, 1279)(381, 1394)(382, 1261)(383, 1262)(384, 1358)(385, 1265)(386, 1286)(387, 1397)(388, 1268)(389, 1389)(390, 1383)(391, 1277)(392, 1387)(393, 1274)(394, 1398)(395, 1395)(396, 1399)(397, 1278)(398, 1344)(399, 1289)(400, 1401)(401, 1293)(402, 1292)(403, 1402)(404, 1294)(405, 1403)(406, 1295)(407, 1298)(408, 1299)(409, 1405)(410, 1406)(411, 1301)(412, 1302)(413, 1408)(414, 1304)(415, 1306)(416, 1308)(417, 1410)(418, 1312)(419, 1313)(420, 1317)(421, 1411)(422, 1320)(423, 1350)(424, 1323)(425, 1412)(426, 1326)(427, 1352)(428, 1414)(429, 1349)(430, 1415)(431, 1416)(432, 1338)(433, 1339)(434, 1341)(435, 1355)(436, 1418)(437, 1347)(438, 1354)(439, 1356)(440, 1420)(441, 1360)(442, 1363)(443, 1365)(444, 1423)(445, 1369)(446, 1370)(447, 1424)(448, 1373)(449, 1425)(450, 1377)(451, 1381)(452, 1385)(453, 1427)(454, 1388)(455, 1390)(456, 1391)(457, 1430)(458, 1396)(459, 1429)(460, 1400)(461, 1431)(462, 1432)(463, 1404)(464, 1407)(465, 1409)(466, 1434)(467, 1413)(468, 1436)(469, 1419)(470, 1417)(471, 1421)(472, 1422)(473, 1438)(474, 1426)(475, 1439)(476, 1428)(477, 1440)(478, 1433)(479, 1435)(480, 1437)(481, 1441)(482, 1442)(483, 1443)(484, 1444)(485, 1445)(486, 1446)(487, 1447)(488, 1448)(489, 1449)(490, 1450)(491, 1451)(492, 1452)(493, 1453)(494, 1454)(495, 1455)(496, 1456)(497, 1457)(498, 1458)(499, 1459)(500, 1460)(501, 1461)(502, 1462)(503, 1463)(504, 1464)(505, 1465)(506, 1466)(507, 1467)(508, 1468)(509, 1469)(510, 1470)(511, 1471)(512, 1472)(513, 1473)(514, 1474)(515, 1475)(516, 1476)(517, 1477)(518, 1478)(519, 1479)(520, 1480)(521, 1481)(522, 1482)(523, 1483)(524, 1484)(525, 1485)(526, 1486)(527, 1487)(528, 1488)(529, 1489)(530, 1490)(531, 1491)(532, 1492)(533, 1493)(534, 1494)(535, 1495)(536, 1496)(537, 1497)(538, 1498)(539, 1499)(540, 1500)(541, 1501)(542, 1502)(543, 1503)(544, 1504)(545, 1505)(546, 1506)(547, 1507)(548, 1508)(549, 1509)(550, 1510)(551, 1511)(552, 1512)(553, 1513)(554, 1514)(555, 1515)(556, 1516)(557, 1517)(558, 1518)(559, 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1610)(651, 1611)(652, 1612)(653, 1613)(654, 1614)(655, 1615)(656, 1616)(657, 1617)(658, 1618)(659, 1619)(660, 1620)(661, 1621)(662, 1622)(663, 1623)(664, 1624)(665, 1625)(666, 1626)(667, 1627)(668, 1628)(669, 1629)(670, 1630)(671, 1631)(672, 1632)(673, 1633)(674, 1634)(675, 1635)(676, 1636)(677, 1637)(678, 1638)(679, 1639)(680, 1640)(681, 1641)(682, 1642)(683, 1643)(684, 1644)(685, 1645)(686, 1646)(687, 1647)(688, 1648)(689, 1649)(690, 1650)(691, 1651)(692, 1652)(693, 1653)(694, 1654)(695, 1655)(696, 1656)(697, 1657)(698, 1658)(699, 1659)(700, 1660)(701, 1661)(702, 1662)(703, 1663)(704, 1664)(705, 1665)(706, 1666)(707, 1667)(708, 1668)(709, 1669)(710, 1670)(711, 1671)(712, 1672)(713, 1673)(714, 1674)(715, 1675)(716, 1676)(717, 1677)(718, 1678)(719, 1679)(720, 1680)(721, 1681)(722, 1682)(723, 1683)(724, 1684)(725, 1685)(726, 1686)(727, 1687)(728, 1688)(729, 1689)(730, 1690)(731, 1691)(732, 1692)(733, 1693)(734, 1694)(735, 1695)(736, 1696)(737, 1697)(738, 1698)(739, 1699)(740, 1700)(741, 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1792)(833, 1793)(834, 1794)(835, 1795)(836, 1796)(837, 1797)(838, 1798)(839, 1799)(840, 1800)(841, 1801)(842, 1802)(843, 1803)(844, 1804)(845, 1805)(846, 1806)(847, 1807)(848, 1808)(849, 1809)(850, 1810)(851, 1811)(852, 1812)(853, 1813)(854, 1814)(855, 1815)(856, 1816)(857, 1817)(858, 1818)(859, 1819)(860, 1820)(861, 1821)(862, 1822)(863, 1823)(864, 1824)(865, 1825)(866, 1826)(867, 1827)(868, 1828)(869, 1829)(870, 1830)(871, 1831)(872, 1832)(873, 1833)(874, 1834)(875, 1835)(876, 1836)(877, 1837)(878, 1838)(879, 1839)(880, 1840)(881, 1841)(882, 1842)(883, 1843)(884, 1844)(885, 1845)(886, 1846)(887, 1847)(888, 1848)(889, 1849)(890, 1850)(891, 1851)(892, 1852)(893, 1853)(894, 1854)(895, 1855)(896, 1856)(897, 1857)(898, 1858)(899, 1859)(900, 1860)(901, 1861)(902, 1862)(903, 1863)(904, 1864)(905, 1865)(906, 1866)(907, 1867)(908, 1868)(909, 1869)(910, 1870)(911, 1871)(912, 1872)(913, 1873)(914, 1874)(915, 1875)(916, 1876)(917, 1877)(918, 1878)(919, 1879)(920, 1880)(921, 1881)(922, 1882)(923, 1883)(924, 1884)(925, 1885)(926, 1886)(927, 1887)(928, 1888)(929, 1889)(930, 1890)(931, 1891)(932, 1892)(933, 1893)(934, 1894)(935, 1895)(936, 1896)(937, 1897)(938, 1898)(939, 1899)(940, 1900)(941, 1901)(942, 1902)(943, 1903)(944, 1904)(945, 1905)(946, 1906)(947, 1907)(948, 1908)(949, 1909)(950, 1910)(951, 1911)(952, 1912)(953, 1913)(954, 1914)(955, 1915)(956, 1916)(957, 1917)(958, 1918)(959, 1919)(960, 1920)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.3192
Graph:: simple bipartite
	v = 560 e = 960 f = 360
	degree seq :: [ 2^480, 12^80 ]

E21.3196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^4 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map::
	R = (1, 481, 2, 482)(3, 483, 7, 487)(4, 484, 9, 489)(5, 485, 11, 491)(6, 486, 13, 493)(8, 488, 17, 497)(10, 490, 21, 501)(12, 492, 24, 504)(14, 494, 28, 508)(15, 495, 27, 507)(16, 496, 30, 510)(18, 498, 34, 514)(19, 499, 35, 515)(20, 500, 22, 502)(23, 503, 41, 521)(25, 505, 45, 525)(26, 506, 46, 526)(29, 509, 51, 531)(31, 511, 55, 535)(32, 512, 54, 534)(33, 513, 57, 537)(36, 516, 63, 543)(37, 517, 65, 545)(38, 518, 66, 546)(39, 519, 61, 541)(40, 520, 69, 549)(42, 522, 73, 553)(43, 523, 72, 552)(44, 524, 75, 555)(47, 527, 81, 561)(48, 528, 83, 563)(49, 529, 84, 564)(50, 530, 79, 559)(52, 532, 89, 569)(53, 533, 90, 570)(56, 536, 95, 575)(58, 538, 76, 556)(59, 539, 98, 578)(60, 540, 100, 580)(62, 542, 103, 583)(64, 544, 106, 586)(67, 547, 85, 565)(68, 548, 111, 591)(70, 550, 114, 594)(71, 551, 115, 595)(74, 554, 120, 600)(77, 557, 123, 603)(78, 558, 125, 605)(80, 560, 128, 608)(82, 562, 131, 611)(86, 566, 136, 616)(87, 567, 133, 613)(88, 568, 138, 618)(91, 571, 144, 624)(92, 572, 146, 626)(93, 573, 147, 627)(94, 574, 142, 622)(96, 576, 151, 631)(97, 577, 152, 632)(99, 579, 155, 635)(101, 581, 139, 619)(102, 582, 158, 638)(104, 584, 162, 642)(105, 585, 161, 641)(107, 587, 165, 645)(108, 588, 112, 592)(109, 589, 167, 647)(110, 590, 169, 649)(113, 593, 172, 652)(116, 596, 178, 658)(117, 597, 180, 660)(118, 598, 181, 661)(119, 599, 176, 656)(121, 601, 185, 665)(122, 602, 186, 666)(124, 604, 189, 669)(126, 606, 173, 653)(127, 607, 192, 672)(129, 609, 196, 676)(130, 610, 195, 675)(132, 612, 199, 679)(134, 614, 201, 681)(135, 615, 203, 683)(137, 617, 205, 685)(140, 620, 208, 688)(141, 621, 210, 690)(143, 623, 212, 692)(145, 625, 215, 695)(148, 628, 219, 699)(149, 629, 217, 697)(150, 630, 221, 701)(153, 633, 224, 704)(154, 634, 226, 706)(156, 636, 228, 708)(157, 637, 229, 709)(159, 639, 233, 713)(160, 640, 234, 714)(163, 643, 218, 698)(164, 644, 238, 718)(166, 646, 241, 721)(168, 648, 243, 723)(170, 650, 231, 711)(171, 651, 245, 725)(174, 654, 248, 728)(175, 655, 250, 730)(177, 657, 252, 732)(179, 659, 255, 735)(182, 662, 259, 739)(183, 663, 257, 737)(184, 664, 261, 741)(187, 667, 264, 744)(188, 668, 266, 746)(190, 670, 268, 748)(191, 671, 269, 749)(193, 673, 273, 753)(194, 674, 274, 754)(197, 677, 258, 738)(198, 678, 278, 758)(200, 680, 281, 761)(202, 682, 283, 763)(204, 684, 271, 751)(206, 686, 287, 767)(207, 687, 288, 768)(209, 689, 291, 771)(211, 691, 293, 773)(213, 693, 263, 743)(214, 694, 296, 776)(216, 696, 299, 779)(220, 700, 260, 740)(222, 702, 304, 784)(223, 703, 253, 733)(225, 705, 308, 788)(227, 707, 310, 790)(230, 710, 313, 793)(232, 712, 315, 795)(235, 715, 282, 762)(236, 716, 321, 801)(237, 717, 319, 799)(239, 719, 316, 796)(240, 720, 311, 791)(242, 722, 275, 755)(244, 724, 303, 783)(246, 726, 329, 809)(247, 727, 330, 810)(249, 729, 333, 813)(251, 731, 335, 815)(254, 734, 338, 818)(256, 736, 341, 821)(262, 742, 346, 826)(265, 745, 350, 830)(267, 747, 352, 832)(270, 750, 355, 835)(272, 752, 357, 837)(276, 756, 363, 843)(277, 757, 361, 841)(279, 759, 358, 838)(280, 760, 353, 833)(284, 764, 345, 825)(285, 765, 327, 807)(286, 766, 369, 849)(289, 769, 351, 831)(290, 770, 373, 853)(292, 772, 360, 840)(294, 774, 349, 829)(295, 775, 378, 858)(297, 777, 343, 823)(298, 778, 380, 860)(300, 780, 356, 836)(301, 781, 339, 819)(302, 782, 376, 856)(305, 785, 385, 865)(306, 786, 371, 851)(307, 787, 336, 816)(309, 789, 331, 811)(312, 792, 365, 845)(314, 794, 342, 822)(317, 797, 393, 873)(318, 798, 334, 814)(320, 800, 367, 847)(322, 802, 396, 876)(323, 803, 354, 834)(324, 804, 389, 869)(325, 805, 362, 842)(326, 806, 390, 870)(328, 808, 398, 878)(332, 812, 402, 882)(337, 817, 407, 887)(340, 820, 409, 889)(344, 824, 405, 885)(347, 827, 414, 894)(348, 828, 400, 880)(359, 839, 422, 902)(364, 844, 425, 905)(366, 846, 418, 898)(368, 848, 419, 899)(370, 850, 427, 907)(372, 852, 416, 896)(374, 854, 430, 910)(375, 855, 415, 895)(377, 857, 406, 886)(379, 859, 411, 891)(381, 861, 432, 912)(382, 862, 408, 888)(383, 863, 429, 909)(384, 864, 435, 915)(386, 866, 404, 884)(387, 867, 401, 881)(388, 868, 431, 911)(391, 871, 426, 906)(392, 872, 438, 918)(394, 874, 439, 919)(395, 875, 424, 904)(397, 877, 420, 900)(399, 879, 440, 920)(403, 883, 443, 923)(410, 890, 445, 925)(412, 892, 442, 922)(413, 893, 448, 928)(417, 897, 444, 924)(421, 901, 451, 931)(423, 903, 452, 932)(428, 908, 454, 934)(433, 913, 457, 937)(434, 914, 450, 930)(436, 916, 458, 938)(437, 917, 447, 927)(441, 921, 461, 941)(446, 926, 464, 944)(449, 929, 465, 945)(453, 933, 467, 947)(455, 935, 466, 946)(456, 936, 469, 949)(459, 939, 462, 942)(460, 940, 471, 951)(463, 943, 473, 953)(468, 948, 475, 955)(470, 950, 476, 956)(472, 952, 477, 957)(474, 954, 478, 958)(479, 959, 480, 960)(961, 1441, 963, 1443, 968, 1448, 978, 1458, 970, 1450, 964, 1444)(962, 1442, 965, 1445, 972, 1452, 985, 1465, 974, 1454, 966, 1446)(967, 1447, 975, 1455, 989, 1469, 1012, 1492, 991, 1471, 976, 1456)(969, 1449, 979, 1459, 996, 1476, 1024, 1504, 997, 1477, 980, 1460)(971, 1451, 982, 1462, 1000, 1480, 1030, 1510, 1002, 1482, 983, 1463)(973, 1453, 986, 1466, 1007, 1487, 1042, 1522, 1008, 1488, 987, 1467)(977, 1457, 992, 1472, 1016, 1496, 1056, 1536, 1018, 1498, 993, 1473)(981, 1461, 998, 1478, 1027, 1507, 1070, 1550, 1028, 1508, 999, 1479)(984, 1464, 1003, 1483, 1034, 1514, 1081, 1561, 1036, 1516, 1004, 1484)(988, 1468, 1009, 1489, 1045, 1525, 1095, 1575, 1046, 1526, 1010, 1490)(990, 1470, 1013, 1493, 1051, 1531, 1105, 1585, 1052, 1532, 1014, 1494)(994, 1474, 1019, 1499, 1059, 1539, 1116, 1596, 1061, 1541, 1020, 1500)(995, 1475, 1021, 1501, 1062, 1542, 1119, 1599, 1064, 1544, 1022, 1502)(1001, 1481, 1031, 1511, 1076, 1556, 1139, 1619, 1077, 1557, 1032, 1512)(1005, 1485, 1037, 1517, 1084, 1564, 1150, 1630, 1086, 1566, 1038, 1518)(1006, 1486, 1039, 1519, 1087, 1567, 1153, 1633, 1089, 1569, 1040, 1520)(1011, 1491, 1047, 1527, 1097, 1577, 1166, 1646, 1099, 1579, 1048, 1528)(1015, 1495, 1053, 1533, 1023, 1503, 1065, 1545, 1108, 1588, 1054, 1534)(1017, 1497, 1057, 1537, 1113, 1593, 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1211, 1691, 1296, 1776, 1213, 1693, 1137, 1617)(1080, 1560, 1143, 1623, 1220, 1700, 1164, 1644, 1096, 1576, 1144, 1624)(1088, 1568, 1154, 1634, 1235, 1715, 1322, 1802, 1236, 1716, 1155, 1635)(1091, 1571, 1157, 1637, 1104, 1584, 1174, 1654, 1239, 1719, 1158, 1638)(1098, 1578, 1167, 1647, 1249, 1729, 1332, 1812, 1250, 1730, 1168, 1648)(1106, 1586, 1176, 1656, 1251, 1731, 1334, 1814, 1260, 1740, 1177, 1657)(1107, 1587, 1170, 1650, 1252, 1732, 1335, 1815, 1261, 1741, 1178, 1658)(1111, 1591, 1182, 1662, 1265, 1745, 1308, 1788, 1223, 1703, 1146, 1626)(1112, 1592, 1145, 1625, 1222, 1702, 1307, 1787, 1266, 1746, 1183, 1663)(1118, 1598, 1191, 1671, 1274, 1754, 1352, 1832, 1276, 1756, 1192, 1672)(1125, 1605, 1198, 1678, 1282, 1762, 1357, 1837, 1283, 1763, 1200, 1680)(1127, 1607, 1202, 1682, 1284, 1764, 1328, 1808, 1244, 1724, 1163, 1643)(1129, 1609, 1161, 1641, 1242, 1722, 1326, 1806, 1286, 1766, 1204, 1684)(1132, 1612, 1207, 1687, 1291, 1771, 1361, 1841, 1292, 1772, 1208, 1688)(1140, 1620, 1216, 1696, 1293, 1773, 1363, 1843, 1302, 1782, 1217, 1697)(1141, 1621, 1210, 1690, 1294, 1774, 1364, 1844, 1303, 1783, 1218, 1698)(1152, 1632, 1231, 1711, 1316, 1796, 1381, 1861, 1318, 1798, 1232, 1712)(1159, 1639, 1238, 1718, 1324, 1804, 1386, 1866, 1325, 1805, 1240, 1720)(1165, 1645, 1245, 1725, 1201, 1681, 1262, 1742, 1179, 1659, 1246, 1726)(1172, 1652, 1255, 1735, 1194, 1674, 1279, 1759, 1339, 1819, 1256, 1736)(1175, 1655, 1257, 1737, 1184, 1664, 1267, 1747, 1341, 1821, 1258, 1738)(1181, 1661, 1263, 1743, 1343, 1823, 1394, 1874, 1344, 1824, 1264, 1744)(1186, 1666, 1269, 1749, 1345, 1825, 1396, 1876, 1348, 1828, 1270, 1750)(1188, 1668, 1271, 1751, 1349, 1829, 1367, 1847, 1331, 1811, 1248, 1728)(1189, 1669, 1247, 1727, 1330, 1810, 1388, 1868, 1350, 1830, 1272, 1752)(1193, 1673, 1277, 1757, 1354, 1834, 1285, 1765, 1203, 1683, 1278, 1758)(1205, 1685, 1287, 1767, 1241, 1721, 1304, 1784, 1219, 1699, 1288, 1768)(1212, 1692, 1297, 1777, 1234, 1714, 1321, 1801, 1368, 1848, 1298, 1778)(1215, 1695, 1299, 1779, 1224, 1704, 1309, 1789, 1370, 1850, 1300, 1780)(1221, 1701, 1305, 1785, 1372, 1852, 1407, 1887, 1373, 1853, 1306, 1786)(1226, 1706, 1311, 1791, 1374, 1854, 1409, 1889, 1377, 1857, 1312, 1792)(1228, 1708, 1313, 1793, 1378, 1858, 1338, 1818, 1360, 1840, 1290, 1770)(1229, 1709, 1289, 1769, 1359, 1839, 1401, 1881, 1379, 1859, 1314, 1794)(1233, 1713, 1319, 1799, 1383, 1863, 1327, 1807, 1243, 1723, 1320, 1800)(1253, 1733, 1336, 1816, 1391, 1871, 1416, 1896, 1392, 1872, 1337, 1817)(1259, 1739, 1340, 1820, 1393, 1873, 1353, 1833, 1275, 1755, 1342, 1822)(1268, 1748, 1346, 1826, 1273, 1753, 1351, 1831, 1397, 1877, 1347, 1827)(1281, 1761, 1355, 1835, 1399, 1879, 1413, 1893, 1387, 1867, 1329, 1809)(1295, 1775, 1365, 1845, 1404, 1884, 1423, 1903, 1405, 1885, 1366, 1846)(1301, 1781, 1369, 1849, 1406, 1886, 1382, 1862, 1317, 1797, 1371, 1851)(1310, 1790, 1375, 1855, 1315, 1795, 1380, 1860, 1410, 1890, 1376, 1856)(1323, 1803, 1384, 1864, 1412, 1892, 1420, 1900, 1400, 1880, 1358, 1838)(1333, 1813, 1389, 1869, 1414, 1894, 1428, 1908, 1415, 1895, 1390, 1870)(1356, 1836, 1398, 1878, 1419, 1899, 1430, 1910, 1418, 1898, 1395, 1875)(1362, 1842, 1402, 1882, 1421, 1901, 1432, 1912, 1422, 1902, 1403, 1883)(1385, 1865, 1411, 1891, 1426, 1906, 1434, 1914, 1425, 1905, 1408, 1888)(1417, 1897, 1429, 1909, 1436, 1916, 1439, 1919, 1435, 1915, 1427, 1907)(1424, 1904, 1433, 1913, 1438, 1918, 1440, 1920, 1437, 1917, 1431, 1911)
	L = (1, 962)(2, 961)(3, 967)(4, 969)(5, 971)(6, 973)(7, 963)(8, 977)(9, 964)(10, 981)(11, 965)(12, 984)(13, 966)(14, 988)(15, 987)(16, 990)(17, 968)(18, 994)(19, 995)(20, 982)(21, 970)(22, 980)(23, 1001)(24, 972)(25, 1005)(26, 1006)(27, 975)(28, 974)(29, 1011)(30, 976)(31, 1015)(32, 1014)(33, 1017)(34, 978)(35, 979)(36, 1023)(37, 1025)(38, 1026)(39, 1021)(40, 1029)(41, 983)(42, 1033)(43, 1032)(44, 1035)(45, 985)(46, 986)(47, 1041)(48, 1043)(49, 1044)(50, 1039)(51, 989)(52, 1049)(53, 1050)(54, 992)(55, 991)(56, 1055)(57, 993)(58, 1036)(59, 1058)(60, 1060)(61, 999)(62, 1063)(63, 996)(64, 1066)(65, 997)(66, 998)(67, 1045)(68, 1071)(69, 1000)(70, 1074)(71, 1075)(72, 1003)(73, 1002)(74, 1080)(75, 1004)(76, 1018)(77, 1083)(78, 1085)(79, 1010)(80, 1088)(81, 1007)(82, 1091)(83, 1008)(84, 1009)(85, 1027)(86, 1096)(87, 1093)(88, 1098)(89, 1012)(90, 1013)(91, 1104)(92, 1106)(93, 1107)(94, 1102)(95, 1016)(96, 1111)(97, 1112)(98, 1019)(99, 1115)(100, 1020)(101, 1099)(102, 1118)(103, 1022)(104, 1122)(105, 1121)(106, 1024)(107, 1125)(108, 1072)(109, 1127)(110, 1129)(111, 1028)(112, 1068)(113, 1132)(114, 1030)(115, 1031)(116, 1138)(117, 1140)(118, 1141)(119, 1136)(120, 1034)(121, 1145)(122, 1146)(123, 1037)(124, 1149)(125, 1038)(126, 1133)(127, 1152)(128, 1040)(129, 1156)(130, 1155)(131, 1042)(132, 1159)(133, 1047)(134, 1161)(135, 1163)(136, 1046)(137, 1165)(138, 1048)(139, 1061)(140, 1168)(141, 1170)(142, 1054)(143, 1172)(144, 1051)(145, 1175)(146, 1052)(147, 1053)(148, 1179)(149, 1177)(150, 1181)(151, 1056)(152, 1057)(153, 1184)(154, 1186)(155, 1059)(156, 1188)(157, 1189)(158, 1062)(159, 1193)(160, 1194)(161, 1065)(162, 1064)(163, 1178)(164, 1198)(165, 1067)(166, 1201)(167, 1069)(168, 1203)(169, 1070)(170, 1191)(171, 1205)(172, 1073)(173, 1086)(174, 1208)(175, 1210)(176, 1079)(177, 1212)(178, 1076)(179, 1215)(180, 1077)(181, 1078)(182, 1219)(183, 1217)(184, 1221)(185, 1081)(186, 1082)(187, 1224)(188, 1226)(189, 1084)(190, 1228)(191, 1229)(192, 1087)(193, 1233)(194, 1234)(195, 1090)(196, 1089)(197, 1218)(198, 1238)(199, 1092)(200, 1241)(201, 1094)(202, 1243)(203, 1095)(204, 1231)(205, 1097)(206, 1247)(207, 1248)(208, 1100)(209, 1251)(210, 1101)(211, 1253)(212, 1103)(213, 1223)(214, 1256)(215, 1105)(216, 1259)(217, 1109)(218, 1123)(219, 1108)(220, 1220)(221, 1110)(222, 1264)(223, 1213)(224, 1113)(225, 1268)(226, 1114)(227, 1270)(228, 1116)(229, 1117)(230, 1273)(231, 1130)(232, 1275)(233, 1119)(234, 1120)(235, 1242)(236, 1281)(237, 1279)(238, 1124)(239, 1276)(240, 1271)(241, 1126)(242, 1235)(243, 1128)(244, 1263)(245, 1131)(246, 1289)(247, 1290)(248, 1134)(249, 1293)(250, 1135)(251, 1295)(252, 1137)(253, 1183)(254, 1298)(255, 1139)(256, 1301)(257, 1143)(258, 1157)(259, 1142)(260, 1180)(261, 1144)(262, 1306)(263, 1173)(264, 1147)(265, 1310)(266, 1148)(267, 1312)(268, 1150)(269, 1151)(270, 1315)(271, 1164)(272, 1317)(273, 1153)(274, 1154)(275, 1202)(276, 1323)(277, 1321)(278, 1158)(279, 1318)(280, 1313)(281, 1160)(282, 1195)(283, 1162)(284, 1305)(285, 1287)(286, 1329)(287, 1166)(288, 1167)(289, 1311)(290, 1333)(291, 1169)(292, 1320)(293, 1171)(294, 1309)(295, 1338)(296, 1174)(297, 1303)(298, 1340)(299, 1176)(300, 1316)(301, 1299)(302, 1336)(303, 1204)(304, 1182)(305, 1345)(306, 1331)(307, 1296)(308, 1185)(309, 1291)(310, 1187)(311, 1200)(312, 1325)(313, 1190)(314, 1302)(315, 1192)(316, 1199)(317, 1353)(318, 1294)(319, 1197)(320, 1327)(321, 1196)(322, 1356)(323, 1314)(324, 1349)(325, 1322)(326, 1350)(327, 1245)(328, 1358)(329, 1206)(330, 1207)(331, 1269)(332, 1362)(333, 1209)(334, 1278)(335, 1211)(336, 1267)(337, 1367)(338, 1214)(339, 1261)(340, 1369)(341, 1216)(342, 1274)(343, 1257)(344, 1365)(345, 1244)(346, 1222)(347, 1374)(348, 1360)(349, 1254)(350, 1225)(351, 1249)(352, 1227)(353, 1240)(354, 1283)(355, 1230)(356, 1260)(357, 1232)(358, 1239)(359, 1382)(360, 1252)(361, 1237)(362, 1285)(363, 1236)(364, 1385)(365, 1272)(366, 1378)(367, 1280)(368, 1379)(369, 1246)(370, 1387)(371, 1266)(372, 1376)(373, 1250)(374, 1390)(375, 1375)(376, 1262)(377, 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1435)(469, 1416)(470, 1436)(471, 1420)(472, 1437)(473, 1423)(474, 1438)(475, 1428)(476, 1430)(477, 1432)(478, 1434)(479, 1440)(480, 1439)(481, 1441)(482, 1442)(483, 1443)(484, 1444)(485, 1445)(486, 1446)(487, 1447)(488, 1448)(489, 1449)(490, 1450)(491, 1451)(492, 1452)(493, 1453)(494, 1454)(495, 1455)(496, 1456)(497, 1457)(498, 1458)(499, 1459)(500, 1460)(501, 1461)(502, 1462)(503, 1463)(504, 1464)(505, 1465)(506, 1466)(507, 1467)(508, 1468)(509, 1469)(510, 1470)(511, 1471)(512, 1472)(513, 1473)(514, 1474)(515, 1475)(516, 1476)(517, 1477)(518, 1478)(519, 1479)(520, 1480)(521, 1481)(522, 1482)(523, 1483)(524, 1484)(525, 1485)(526, 1486)(527, 1487)(528, 1488)(529, 1489)(530, 1490)(531, 1491)(532, 1492)(533, 1493)(534, 1494)(535, 1495)(536, 1496)(537, 1497)(538, 1498)(539, 1499)(540, 1500)(541, 1501)(542, 1502)(543, 1503)(544, 1504)(545, 1505)(546, 1506)(547, 1507)(548, 1508)(549, 1509)(550, 1510)(551, 1511)(552, 1512)(553, 1513)(554, 1514)(555, 1515)(556, 1516)(557, 1517)(558, 1518)(559, 1519)(560, 1520)(561, 1521)(562, 1522)(563, 1523)(564, 1524)(565, 1525)(566, 1526)(567, 1527)(568, 1528)(569, 1529)(570, 1530)(571, 1531)(572, 1532)(573, 1533)(574, 1534)(575, 1535)(576, 1536)(577, 1537)(578, 1538)(579, 1539)(580, 1540)(581, 1541)(582, 1542)(583, 1543)(584, 1544)(585, 1545)(586, 1546)(587, 1547)(588, 1548)(589, 1549)(590, 1550)(591, 1551)(592, 1552)(593, 1553)(594, 1554)(595, 1555)(596, 1556)(597, 1557)(598, 1558)(599, 1559)(600, 1560)(601, 1561)(602, 1562)(603, 1563)(604, 1564)(605, 1565)(606, 1566)(607, 1567)(608, 1568)(609, 1569)(610, 1570)(611, 1571)(612, 1572)(613, 1573)(614, 1574)(615, 1575)(616, 1576)(617, 1577)(618, 1578)(619, 1579)(620, 1580)(621, 1581)(622, 1582)(623, 1583)(624, 1584)(625, 1585)(626, 1586)(627, 1587)(628, 1588)(629, 1589)(630, 1590)(631, 1591)(632, 1592)(633, 1593)(634, 1594)(635, 1595)(636, 1596)(637, 1597)(638, 1598)(639, 1599)(640, 1600)(641, 1601)(642, 1602)(643, 1603)(644, 1604)(645, 1605)(646, 1606)(647, 1607)(648, 1608)(649, 1609)(650, 1610)(651, 1611)(652, 1612)(653, 1613)(654, 1614)(655, 1615)(656, 1616)(657, 1617)(658, 1618)(659, 1619)(660, 1620)(661, 1621)(662, 1622)(663, 1623)(664, 1624)(665, 1625)(666, 1626)(667, 1627)(668, 1628)(669, 1629)(670, 1630)(671, 1631)(672, 1632)(673, 1633)(674, 1634)(675, 1635)(676, 1636)(677, 1637)(678, 1638)(679, 1639)(680, 1640)(681, 1641)(682, 1642)(683, 1643)(684, 1644)(685, 1645)(686, 1646)(687, 1647)(688, 1648)(689, 1649)(690, 1650)(691, 1651)(692, 1652)(693, 1653)(694, 1654)(695, 1655)(696, 1656)(697, 1657)(698, 1658)(699, 1659)(700, 1660)(701, 1661)(702, 1662)(703, 1663)(704, 1664)(705, 1665)(706, 1666)(707, 1667)(708, 1668)(709, 1669)(710, 1670)(711, 1671)(712, 1672)(713, 1673)(714, 1674)(715, 1675)(716, 1676)(717, 1677)(718, 1678)(719, 1679)(720, 1680)(721, 1681)(722, 1682)(723, 1683)(724, 1684)(725, 1685)(726, 1686)(727, 1687)(728, 1688)(729, 1689)(730, 1690)(731, 1691)(732, 1692)(733, 1693)(734, 1694)(735, 1695)(736, 1696)(737, 1697)(738, 1698)(739, 1699)(740, 1700)(741, 1701)(742, 1702)(743, 1703)(744, 1704)(745, 1705)(746, 1706)(747, 1707)(748, 1708)(749, 1709)(750, 1710)(751, 1711)(752, 1712)(753, 1713)(754, 1714)(755, 1715)(756, 1716)(757, 1717)(758, 1718)(759, 1719)(760, 1720)(761, 1721)(762, 1722)(763, 1723)(764, 1724)(765, 1725)(766, 1726)(767, 1727)(768, 1728)(769, 1729)(770, 1730)(771, 1731)(772, 1732)(773, 1733)(774, 1734)(775, 1735)(776, 1736)(777, 1737)(778, 1738)(779, 1739)(780, 1740)(781, 1741)(782, 1742)(783, 1743)(784, 1744)(785, 1745)(786, 1746)(787, 1747)(788, 1748)(789, 1749)(790, 1750)(791, 1751)(792, 1752)(793, 1753)(794, 1754)(795, 1755)(796, 1756)(797, 1757)(798, 1758)(799, 1759)(800, 1760)(801, 1761)(802, 1762)(803, 1763)(804, 1764)(805, 1765)(806, 1766)(807, 1767)(808, 1768)(809, 1769)(810, 1770)(811, 1771)(812, 1772)(813, 1773)(814, 1774)(815, 1775)(816, 1776)(817, 1777)(818, 1778)(819, 1779)(820, 1780)(821, 1781)(822, 1782)(823, 1783)(824, 1784)(825, 1785)(826, 1786)(827, 1787)(828, 1788)(829, 1789)(830, 1790)(831, 1791)(832, 1792)(833, 1793)(834, 1794)(835, 1795)(836, 1796)(837, 1797)(838, 1798)(839, 1799)(840, 1800)(841, 1801)(842, 1802)(843, 1803)(844, 1804)(845, 1805)(846, 1806)(847, 1807)(848, 1808)(849, 1809)(850, 1810)(851, 1811)(852, 1812)(853, 1813)(854, 1814)(855, 1815)(856, 1816)(857, 1817)(858, 1818)(859, 1819)(860, 1820)(861, 1821)(862, 1822)(863, 1823)(864, 1824)(865, 1825)(866, 1826)(867, 1827)(868, 1828)(869, 1829)(870, 1830)(871, 1831)(872, 1832)(873, 1833)(874, 1834)(875, 1835)(876, 1836)(877, 1837)(878, 1838)(879, 1839)(880, 1840)(881, 1841)(882, 1842)(883, 1843)(884, 1844)(885, 1845)(886, 1846)(887, 1847)(888, 1848)(889, 1849)(890, 1850)(891, 1851)(892, 1852)(893, 1853)(894, 1854)(895, 1855)(896, 1856)(897, 1857)(898, 1858)(899, 1859)(900, 1860)(901, 1861)(902, 1862)(903, 1863)(904, 1864)(905, 1865)(906, 1866)(907, 1867)(908, 1868)(909, 1869)(910, 1870)(911, 1871)(912, 1872)(913, 1873)(914, 1874)(915, 1875)(916, 1876)(917, 1877)(918, 1878)(919, 1879)(920, 1880)(921, 1881)(922, 1882)(923, 1883)(924, 1884)(925, 1885)(926, 1886)(927, 1887)(928, 1888)(929, 1889)(930, 1890)(931, 1891)(932, 1892)(933, 1893)(934, 1894)(935, 1895)(936, 1896)(937, 1897)(938, 1898)(939, 1899)(940, 1900)(941, 1901)(942, 1902)(943, 1903)(944, 1904)(945, 1905)(946, 1906)(947, 1907)(948, 1908)(949, 1909)(950, 1910)(951, 1911)(952, 1912)(953, 1913)(954, 1914)(955, 1915)(956, 1916)(957, 1917)(958, 1918)(959, 1919)(960, 1920)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E21.3197
Graph:: bipartite
	v = 320 e = 960 f = 600
	degree seq :: [ 4^240, 12^80 ]

E21.3197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = (C2 x C2 x A5) : C2 (small group id <480, 951>)
Aut   = $<960, 10871>$ (small group id <960, 10871>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y1^-1 * Y3^-2 * Y1 * Y3)^2, (Y3 * Y1^-1)^6, (Y3 * Y2^-1)^6, (Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1)^2 ]
Map:: polytopal
	R = (1, 481, 2, 482, 6, 486, 4, 484)(3, 483, 9, 489, 21, 501, 11, 491)(5, 485, 13, 493, 18, 498, 7, 487)(8, 488, 19, 499, 33, 513, 15, 495)(10, 490, 23, 503, 47, 527, 25, 505)(12, 492, 16, 496, 34, 514, 28, 508)(14, 494, 31, 511, 58, 538, 29, 509)(17, 497, 36, 516, 69, 549, 38, 518)(20, 500, 42, 522, 77, 557, 40, 520)(22, 502, 45, 525, 82, 562, 43, 523)(24, 504, 49, 529, 92, 572, 50, 530)(26, 506, 44, 524, 83, 563, 53, 533)(27, 507, 54, 534, 100, 580, 55, 535)(30, 510, 59, 539, 75, 555, 39, 519)(32, 512, 62, 542, 114, 594, 64, 544)(35, 515, 68, 548, 122, 602, 66, 546)(37, 517, 71, 551, 130, 610, 72, 552)(41, 521, 78, 558, 120, 600, 65, 545)(46, 526, 87, 567, 155, 635, 85, 565)(48, 528, 90, 570, 160, 640, 88, 568)(51, 531, 89, 569, 161, 641, 96, 576)(52, 532, 97, 577, 171, 651, 98, 578)(56, 536, 67, 547, 123, 603, 104, 584)(57, 537, 105, 585, 182, 662, 107, 587)(60, 540, 111, 591, 187, 667, 109, 589)(61, 541, 112, 592, 186, 666, 108, 588)(63, 543, 116, 596, 194, 674, 117, 597)(70, 550, 128, 608, 212, 692, 126, 606)(73, 553, 127, 607, 213, 693, 134, 614)(74, 554, 135, 615, 221, 701, 136, 616)(76, 556, 138, 618, 225, 705, 140, 620)(79, 559, 144, 624, 230, 710, 142, 622)(80, 560, 145, 625, 229, 709, 141, 621)(81, 561, 147, 627, 233, 713, 149, 629)(84, 564, 153, 633, 239, 719, 151, 631)(86, 566, 156, 636, 237, 717, 150, 630)(91, 571, 163, 643, 216, 696, 131, 611)(93, 573, 166, 646, 255, 735, 164, 644)(94, 574, 165, 645, 227, 707, 139, 619)(95, 575, 168, 648, 258, 738, 169, 649)(99, 579, 152, 632, 201, 681, 143, 623)(101, 581, 167, 647, 257, 737, 175, 655)(102, 582, 176, 656, 266, 746, 178, 658)(103, 583, 179, 659, 269, 749, 180, 660)(106, 586, 154, 634, 242, 722, 184, 664)(110, 590, 181, 661, 207, 687, 137, 617)(113, 593, 189, 669, 260, 740, 172, 652)(115, 595, 192, 672, 282, 762, 190, 670)(118, 598, 191, 671, 283, 763, 198, 678)(119, 599, 199, 679, 291, 771, 200, 680)(121, 601, 202, 682, 295, 775, 204, 684)(124, 604, 208, 688, 300, 780, 206, 686)(125, 605, 209, 689, 299, 779, 205, 685)(129, 609, 215, 695, 286, 766, 195, 675)(132, 612, 217, 697, 297, 777, 203, 683)(133, 613, 218, 698, 312, 792, 219, 699)(146, 626, 232, 712, 314, 794, 222, 702)(148, 628, 196, 676, 287, 767, 235, 715)(157, 637, 246, 726, 343, 823, 244, 724)(158, 638, 193, 673, 285, 765, 243, 723)(159, 639, 247, 727, 345, 825, 249, 729)(162, 642, 252, 732, 349, 829, 250, 730)(170, 650, 251, 731, 335, 815, 245, 725)(173, 653, 261, 741, 360, 840, 263, 743)(174, 654, 220, 700, 307, 787, 264, 744)(177, 657, 238, 718, 336, 816, 268, 748)(183, 663, 272, 752, 372, 852, 271, 751)(185, 665, 275, 755, 374, 854, 276, 756)(188, 668, 278, 758, 378, 858, 277, 757)(197, 677, 288, 768, 389, 869, 289, 769)(210, 690, 302, 782, 391, 871, 292, 772)(211, 691, 303, 783, 406, 886, 305, 785)(214, 694, 308, 788, 410, 890, 306, 786)(223, 703, 315, 795, 419, 899, 317, 797)(224, 704, 290, 770, 384, 864, 318, 798)(226, 706, 320, 800, 423, 903, 319, 799)(228, 708, 323, 803, 425, 905, 324, 804)(231, 711, 326, 806, 429, 909, 325, 805)(234, 714, 330, 810, 430, 910, 329, 809)(236, 716, 333, 813, 432, 912, 334, 814)(240, 720, 338, 818, 395, 875, 294, 774)(241, 721, 339, 819, 437, 917, 337, 817)(248, 728, 332, 812, 388, 868, 347, 827)(253, 733, 331, 811, 414, 894, 310, 790)(254, 734, 352, 832, 398, 878, 354, 834)(256, 736, 355, 835, 381, 861, 322, 802)(259, 739, 357, 837, 426, 906, 327, 807)(262, 742, 348, 828, 418, 898, 328, 808)(265, 745, 356, 836, 417, 897, 364, 844)(267, 747, 366, 846, 445, 925, 365, 845)(270, 750, 368, 848, 449, 929, 370, 850)(273, 753, 373, 853, 387, 867, 309, 789)(274, 754, 341, 821, 408, 888, 304, 784)(279, 759, 367, 847, 435, 915, 375, 855)(280, 760, 369, 849, 446, 926, 359, 839)(281, 761, 380, 860, 358, 838, 382, 862)(284, 764, 385, 865, 453, 933, 383, 863)(293, 773, 392, 872, 458, 938, 394, 874)(296, 776, 397, 877, 379, 859, 396, 876)(298, 778, 400, 880, 462, 942, 401, 881)(301, 781, 403, 883, 465, 945, 402, 882)(311, 791, 415, 895, 363, 843, 399, 879)(313, 793, 416, 896, 463, 943, 404, 884)(316, 796, 409, 889, 457, 937, 405, 885)(321, 801, 424, 904, 342, 822, 386, 866)(340, 820, 390, 870, 456, 936, 433, 913)(344, 824, 393, 873, 452, 932, 440, 920)(346, 826, 441, 921, 451, 931, 407, 887)(350, 830, 443, 923, 471, 951, 434, 914)(351, 831, 428, 908, 469, 949, 420, 900)(353, 833, 442, 922, 455, 935, 444, 924)(361, 841, 427, 907, 377, 857, 447, 927)(362, 842, 411, 891, 467, 947, 448, 928)(371, 851, 431, 911, 461, 941, 422, 902)(376, 856, 436, 916, 472, 952, 450, 930)(412, 892, 464, 944, 476, 956, 459, 939)(413, 893, 466, 946, 439, 919, 468, 948)(421, 901, 454, 934, 475, 955, 470, 950)(438, 918, 473, 953, 477, 957, 460, 940)(474, 954, 478, 958, 480, 960, 479, 959)(961, 1441)(962, 1442)(963, 1443)(964, 1444)(965, 1445)(966, 1446)(967, 1447)(968, 1448)(969, 1449)(970, 1450)(971, 1451)(972, 1452)(973, 1453)(974, 1454)(975, 1455)(976, 1456)(977, 1457)(978, 1458)(979, 1459)(980, 1460)(981, 1461)(982, 1462)(983, 1463)(984, 1464)(985, 1465)(986, 1466)(987, 1467)(988, 1468)(989, 1469)(990, 1470)(991, 1471)(992, 1472)(993, 1473)(994, 1474)(995, 1475)(996, 1476)(997, 1477)(998, 1478)(999, 1479)(1000, 1480)(1001, 1481)(1002, 1482)(1003, 1483)(1004, 1484)(1005, 1485)(1006, 1486)(1007, 1487)(1008, 1488)(1009, 1489)(1010, 1490)(1011, 1491)(1012, 1492)(1013, 1493)(1014, 1494)(1015, 1495)(1016, 1496)(1017, 1497)(1018, 1498)(1019, 1499)(1020, 1500)(1021, 1501)(1022, 1502)(1023, 1503)(1024, 1504)(1025, 1505)(1026, 1506)(1027, 1507)(1028, 1508)(1029, 1509)(1030, 1510)(1031, 1511)(1032, 1512)(1033, 1513)(1034, 1514)(1035, 1515)(1036, 1516)(1037, 1517)(1038, 1518)(1039, 1519)(1040, 1520)(1041, 1521)(1042, 1522)(1043, 1523)(1044, 1524)(1045, 1525)(1046, 1526)(1047, 1527)(1048, 1528)(1049, 1529)(1050, 1530)(1051, 1531)(1052, 1532)(1053, 1533)(1054, 1534)(1055, 1535)(1056, 1536)(1057, 1537)(1058, 1538)(1059, 1539)(1060, 1540)(1061, 1541)(1062, 1542)(1063, 1543)(1064, 1544)(1065, 1545)(1066, 1546)(1067, 1547)(1068, 1548)(1069, 1549)(1070, 1550)(1071, 1551)(1072, 1552)(1073, 1553)(1074, 1554)(1075, 1555)(1076, 1556)(1077, 1557)(1078, 1558)(1079, 1559)(1080, 1560)(1081, 1561)(1082, 1562)(1083, 1563)(1084, 1564)(1085, 1565)(1086, 1566)(1087, 1567)(1088, 1568)(1089, 1569)(1090, 1570)(1091, 1571)(1092, 1572)(1093, 1573)(1094, 1574)(1095, 1575)(1096, 1576)(1097, 1577)(1098, 1578)(1099, 1579)(1100, 1580)(1101, 1581)(1102, 1582)(1103, 1583)(1104, 1584)(1105, 1585)(1106, 1586)(1107, 1587)(1108, 1588)(1109, 1589)(1110, 1590)(1111, 1591)(1112, 1592)(1113, 1593)(1114, 1594)(1115, 1595)(1116, 1596)(1117, 1597)(1118, 1598)(1119, 1599)(1120, 1600)(1121, 1601)(1122, 1602)(1123, 1603)(1124, 1604)(1125, 1605)(1126, 1606)(1127, 1607)(1128, 1608)(1129, 1609)(1130, 1610)(1131, 1611)(1132, 1612)(1133, 1613)(1134, 1614)(1135, 1615)(1136, 1616)(1137, 1617)(1138, 1618)(1139, 1619)(1140, 1620)(1141, 1621)(1142, 1622)(1143, 1623)(1144, 1624)(1145, 1625)(1146, 1626)(1147, 1627)(1148, 1628)(1149, 1629)(1150, 1630)(1151, 1631)(1152, 1632)(1153, 1633)(1154, 1634)(1155, 1635)(1156, 1636)(1157, 1637)(1158, 1638)(1159, 1639)(1160, 1640)(1161, 1641)(1162, 1642)(1163, 1643)(1164, 1644)(1165, 1645)(1166, 1646)(1167, 1647)(1168, 1648)(1169, 1649)(1170, 1650)(1171, 1651)(1172, 1652)(1173, 1653)(1174, 1654)(1175, 1655)(1176, 1656)(1177, 1657)(1178, 1658)(1179, 1659)(1180, 1660)(1181, 1661)(1182, 1662)(1183, 1663)(1184, 1664)(1185, 1665)(1186, 1666)(1187, 1667)(1188, 1668)(1189, 1669)(1190, 1670)(1191, 1671)(1192, 1672)(1193, 1673)(1194, 1674)(1195, 1675)(1196, 1676)(1197, 1677)(1198, 1678)(1199, 1679)(1200, 1680)(1201, 1681)(1202, 1682)(1203, 1683)(1204, 1684)(1205, 1685)(1206, 1686)(1207, 1687)(1208, 1688)(1209, 1689)(1210, 1690)(1211, 1691)(1212, 1692)(1213, 1693)(1214, 1694)(1215, 1695)(1216, 1696)(1217, 1697)(1218, 1698)(1219, 1699)(1220, 1700)(1221, 1701)(1222, 1702)(1223, 1703)(1224, 1704)(1225, 1705)(1226, 1706)(1227, 1707)(1228, 1708)(1229, 1709)(1230, 1710)(1231, 1711)(1232, 1712)(1233, 1713)(1234, 1714)(1235, 1715)(1236, 1716)(1237, 1717)(1238, 1718)(1239, 1719)(1240, 1720)(1241, 1721)(1242, 1722)(1243, 1723)(1244, 1724)(1245, 1725)(1246, 1726)(1247, 1727)(1248, 1728)(1249, 1729)(1250, 1730)(1251, 1731)(1252, 1732)(1253, 1733)(1254, 1734)(1255, 1735)(1256, 1736)(1257, 1737)(1258, 1738)(1259, 1739)(1260, 1740)(1261, 1741)(1262, 1742)(1263, 1743)(1264, 1744)(1265, 1745)(1266, 1746)(1267, 1747)(1268, 1748)(1269, 1749)(1270, 1750)(1271, 1751)(1272, 1752)(1273, 1753)(1274, 1754)(1275, 1755)(1276, 1756)(1277, 1757)(1278, 1758)(1279, 1759)(1280, 1760)(1281, 1761)(1282, 1762)(1283, 1763)(1284, 1764)(1285, 1765)(1286, 1766)(1287, 1767)(1288, 1768)(1289, 1769)(1290, 1770)(1291, 1771)(1292, 1772)(1293, 1773)(1294, 1774)(1295, 1775)(1296, 1776)(1297, 1777)(1298, 1778)(1299, 1779)(1300, 1780)(1301, 1781)(1302, 1782)(1303, 1783)(1304, 1784)(1305, 1785)(1306, 1786)(1307, 1787)(1308, 1788)(1309, 1789)(1310, 1790)(1311, 1791)(1312, 1792)(1313, 1793)(1314, 1794)(1315, 1795)(1316, 1796)(1317, 1797)(1318, 1798)(1319, 1799)(1320, 1800)(1321, 1801)(1322, 1802)(1323, 1803)(1324, 1804)(1325, 1805)(1326, 1806)(1327, 1807)(1328, 1808)(1329, 1809)(1330, 1810)(1331, 1811)(1332, 1812)(1333, 1813)(1334, 1814)(1335, 1815)(1336, 1816)(1337, 1817)(1338, 1818)(1339, 1819)(1340, 1820)(1341, 1821)(1342, 1822)(1343, 1823)(1344, 1824)(1345, 1825)(1346, 1826)(1347, 1827)(1348, 1828)(1349, 1829)(1350, 1830)(1351, 1831)(1352, 1832)(1353, 1833)(1354, 1834)(1355, 1835)(1356, 1836)(1357, 1837)(1358, 1838)(1359, 1839)(1360, 1840)(1361, 1841)(1362, 1842)(1363, 1843)(1364, 1844)(1365, 1845)(1366, 1846)(1367, 1847)(1368, 1848)(1369, 1849)(1370, 1850)(1371, 1851)(1372, 1852)(1373, 1853)(1374, 1854)(1375, 1855)(1376, 1856)(1377, 1857)(1378, 1858)(1379, 1859)(1380, 1860)(1381, 1861)(1382, 1862)(1383, 1863)(1384, 1864)(1385, 1865)(1386, 1866)(1387, 1867)(1388, 1868)(1389, 1869)(1390, 1870)(1391, 1871)(1392, 1872)(1393, 1873)(1394, 1874)(1395, 1875)(1396, 1876)(1397, 1877)(1398, 1878)(1399, 1879)(1400, 1880)(1401, 1881)(1402, 1882)(1403, 1883)(1404, 1884)(1405, 1885)(1406, 1886)(1407, 1887)(1408, 1888)(1409, 1889)(1410, 1890)(1411, 1891)(1412, 1892)(1413, 1893)(1414, 1894)(1415, 1895)(1416, 1896)(1417, 1897)(1418, 1898)(1419, 1899)(1420, 1900)(1421, 1901)(1422, 1902)(1423, 1903)(1424, 1904)(1425, 1905)(1426, 1906)(1427, 1907)(1428, 1908)(1429, 1909)(1430, 1910)(1431, 1911)(1432, 1912)(1433, 1913)(1434, 1914)(1435, 1915)(1436, 1916)(1437, 1917)(1438, 1918)(1439, 1919)(1440, 1920)
	L = (1, 963)(2, 967)(3, 970)(4, 972)(5, 961)(6, 975)(7, 977)(8, 962)(9, 964)(10, 984)(11, 986)(12, 987)(13, 989)(14, 965)(15, 992)(16, 966)(17, 997)(18, 999)(19, 1000)(20, 968)(21, 1003)(22, 969)(23, 971)(24, 974)(25, 1011)(26, 1012)(27, 1006)(28, 1016)(29, 1017)(30, 973)(31, 1010)(32, 1023)(33, 1025)(34, 1026)(35, 976)(36, 978)(37, 980)(38, 1033)(39, 1034)(40, 1036)(41, 979)(42, 1032)(43, 1041)(44, 981)(45, 1045)(46, 982)(47, 1048)(48, 983)(49, 985)(50, 1054)(51, 1055)(52, 1051)(53, 1059)(54, 988)(55, 1062)(56, 1063)(57, 1066)(58, 1068)(59, 1069)(60, 990)(61, 991)(62, 993)(63, 995)(64, 1078)(65, 1079)(66, 1081)(67, 994)(68, 1077)(69, 1086)(70, 996)(71, 998)(72, 1092)(73, 1093)(74, 1089)(75, 1097)(76, 1099)(77, 1101)(78, 1102)(79, 1001)(80, 1002)(81, 1108)(82, 1110)(83, 1111)(84, 1004)(85, 1114)(86, 1005)(87, 1015)(88, 1119)(89, 1007)(90, 1091)(91, 1008)(92, 1124)(93, 1009)(94, 1100)(95, 1127)(96, 1130)(97, 1013)(98, 1133)(99, 1134)(100, 1135)(101, 1014)(102, 1137)(103, 1126)(104, 1141)(105, 1018)(106, 1020)(107, 1117)(108, 1145)(109, 1128)(110, 1019)(111, 1144)(112, 1132)(113, 1021)(114, 1150)(115, 1022)(116, 1024)(117, 1156)(118, 1157)(119, 1153)(120, 1161)(121, 1163)(122, 1165)(123, 1166)(124, 1027)(125, 1028)(126, 1171)(127, 1029)(128, 1155)(129, 1030)(130, 1176)(131, 1031)(132, 1164)(133, 1050)(134, 1180)(135, 1035)(136, 1183)(137, 1184)(138, 1037)(139, 1039)(140, 1073)(141, 1188)(142, 1178)(143, 1038)(144, 1187)(145, 1182)(146, 1040)(147, 1042)(148, 1044)(149, 1170)(150, 1196)(151, 1198)(152, 1043)(153, 1195)(154, 1067)(155, 1203)(156, 1204)(157, 1046)(158, 1047)(159, 1208)(160, 1179)(161, 1210)(162, 1049)(163, 1058)(164, 1214)(165, 1052)(166, 1061)(167, 1053)(168, 1056)(169, 1219)(170, 1070)(171, 1220)(172, 1057)(173, 1222)(174, 1072)(175, 1225)(176, 1060)(177, 1152)(178, 1200)(179, 1064)(180, 1230)(181, 1205)(182, 1231)(183, 1065)(184, 1234)(185, 1233)(186, 1224)(187, 1237)(188, 1071)(189, 1185)(190, 1241)(191, 1074)(192, 1118)(193, 1075)(194, 1246)(195, 1076)(196, 1109)(197, 1088)(198, 1250)(199, 1080)(200, 1253)(201, 1254)(202, 1082)(203, 1084)(204, 1106)(205, 1258)(206, 1248)(207, 1083)(208, 1257)(209, 1252)(210, 1085)(211, 1264)(212, 1249)(213, 1266)(214, 1087)(215, 1096)(216, 1270)(217, 1090)(218, 1094)(219, 1273)(220, 1103)(221, 1274)(222, 1095)(223, 1276)(224, 1105)(225, 1279)(226, 1098)(227, 1282)(228, 1281)(229, 1278)(230, 1285)(231, 1104)(232, 1255)(233, 1289)(234, 1107)(235, 1292)(236, 1291)(237, 1295)(238, 1138)(239, 1297)(240, 1112)(241, 1113)(242, 1115)(243, 1302)(244, 1139)(245, 1116)(246, 1142)(247, 1120)(248, 1122)(249, 1300)(250, 1308)(251, 1121)(252, 1307)(253, 1123)(254, 1313)(255, 1140)(256, 1125)(257, 1129)(258, 1147)(259, 1318)(260, 1319)(261, 1131)(262, 1290)(263, 1310)(264, 1322)(265, 1323)(266, 1325)(267, 1136)(268, 1327)(269, 1303)(270, 1329)(271, 1331)(272, 1269)(273, 1143)(274, 1265)(275, 1146)(276, 1336)(277, 1337)(278, 1335)(279, 1148)(280, 1149)(281, 1341)(282, 1228)(283, 1343)(284, 1151)(285, 1160)(286, 1347)(287, 1154)(288, 1158)(289, 1350)(290, 1167)(291, 1351)(292, 1159)(293, 1353)(294, 1169)(295, 1356)(296, 1162)(297, 1359)(298, 1358)(299, 1355)(300, 1362)(301, 1168)(302, 1193)(303, 1172)(304, 1174)(305, 1239)(306, 1369)(307, 1173)(308, 1368)(309, 1175)(310, 1373)(311, 1177)(312, 1190)(313, 1377)(314, 1378)(315, 1181)(316, 1232)(317, 1371)(318, 1381)(319, 1382)(320, 1346)(321, 1186)(322, 1342)(323, 1189)(324, 1387)(325, 1388)(326, 1386)(327, 1191)(328, 1192)(329, 1391)(330, 1213)(331, 1194)(332, 1209)(333, 1197)(334, 1372)(335, 1394)(336, 1199)(337, 1396)(338, 1226)(339, 1393)(340, 1201)(341, 1202)(342, 1399)(343, 1400)(344, 1206)(345, 1367)(346, 1207)(347, 1402)(348, 1223)(349, 1380)(350, 1211)(351, 1212)(352, 1215)(353, 1216)(354, 1361)(355, 1404)(356, 1217)(357, 1218)(358, 1401)(359, 1405)(360, 1407)(361, 1221)(362, 1238)(363, 1227)(364, 1364)(365, 1406)(366, 1375)(367, 1366)(368, 1229)(369, 1357)(370, 1398)(371, 1383)(372, 1365)(373, 1236)(374, 1395)(375, 1235)(376, 1345)(377, 1385)(378, 1408)(379, 1240)(380, 1242)(381, 1244)(382, 1287)(383, 1412)(384, 1243)(385, 1315)(386, 1245)(387, 1415)(388, 1247)(389, 1260)(390, 1305)(391, 1417)(392, 1251)(393, 1280)(394, 1414)(395, 1420)(396, 1421)(397, 1312)(398, 1256)(399, 1324)(400, 1259)(401, 1311)(402, 1424)(403, 1423)(404, 1261)(405, 1262)(406, 1411)(407, 1263)(408, 1426)(409, 1277)(410, 1419)(411, 1267)(412, 1268)(413, 1271)(414, 1294)(415, 1428)(416, 1272)(417, 1306)(418, 1309)(419, 1429)(420, 1275)(421, 1286)(422, 1339)(423, 1304)(424, 1284)(425, 1317)(426, 1283)(427, 1326)(428, 1422)(429, 1430)(430, 1288)(431, 1332)(432, 1416)(433, 1293)(434, 1299)(435, 1296)(436, 1334)(437, 1431)(438, 1298)(439, 1301)(440, 1413)(441, 1316)(442, 1314)(443, 1320)(444, 1333)(445, 1321)(446, 1330)(447, 1338)(448, 1434)(449, 1432)(450, 1328)(451, 1340)(452, 1354)(453, 1410)(454, 1344)(455, 1348)(456, 1349)(457, 1370)(458, 1436)(459, 1352)(460, 1363)(461, 1390)(462, 1376)(463, 1360)(464, 1392)(465, 1437)(466, 1374)(467, 1379)(468, 1384)(469, 1389)(470, 1438)(471, 1439)(472, 1397)(473, 1409)(474, 1403)(475, 1418)(476, 1425)(477, 1440)(478, 1427)(479, 1433)(480, 1435)(481, 1441)(482, 1442)(483, 1443)(484, 1444)(485, 1445)(486, 1446)(487, 1447)(488, 1448)(489, 1449)(490, 1450)(491, 1451)(492, 1452)(493, 1453)(494, 1454)(495, 1455)(496, 1456)(497, 1457)(498, 1458)(499, 1459)(500, 1460)(501, 1461)(502, 1462)(503, 1463)(504, 1464)(505, 1465)(506, 1466)(507, 1467)(508, 1468)(509, 1469)(510, 1470)(511, 1471)(512, 1472)(513, 1473)(514, 1474)(515, 1475)(516, 1476)(517, 1477)(518, 1478)(519, 1479)(520, 1480)(521, 1481)(522, 1482)(523, 1483)(524, 1484)(525, 1485)(526, 1486)(527, 1487)(528, 1488)(529, 1489)(530, 1490)(531, 1491)(532, 1492)(533, 1493)(534, 1494)(535, 1495)(536, 1496)(537, 1497)(538, 1498)(539, 1499)(540, 1500)(541, 1501)(542, 1502)(543, 1503)(544, 1504)(545, 1505)(546, 1506)(547, 1507)(548, 1508)(549, 1509)(550, 1510)(551, 1511)(552, 1512)(553, 1513)(554, 1514)(555, 1515)(556, 1516)(557, 1517)(558, 1518)(559, 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	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E21.3196
Graph:: simple bipartite
	v = 600 e = 960 f = 320
	degree seq :: [ 2^480, 8^120 ]

## Checksum: 3197 records.
## Written on: Sun Nov 24 21:03:46 CET 2019